{ "schema": 1, "provenance": { "date": "2026-09-11", "node": "v24.14.0", "platform": "darwin", "arch": "arm64", "jsSha256": "7ebae056014dc5419e70b8a808e46bc982a9d27f9de9eb85ea513bdaf948a74a" }, "insufficient": { "version": 160, "parameters": { "coefficients": "3,-6,0,0,0,1", "prime": "2", "evidencePrimes": "2", "useReal": "no", "useDiscriminant": "no", "useConstruction": "no", "bits": "8" }, "polynomial": { "coefficients": [ 3, -6, 0, 0, 0, 1 ], "degree": 5, "rational": { "bound": 7, "factors": [ [ "3", "-6", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "irreducible": true, "searches": [ { "polynomial": [ "3", "-6", "0", "0", "0", "1" ], "bound": 7, "linearTrials": [ { "root": "-7", "value": "-16762" }, { "root": "-6", "value": "-7737" }, { "root": "-5", "value": "-3092" }, { "root": "-4", "value": "-997" }, { "root": "-3", "value": "-222" }, { "root": "-2", "value": "-17" }, { "root": "-1", "value": "8" }, { "root": "0", "value": "3" }, { "root": "1", "value": "-2" }, { "root": "2", "value": "23" }, { "root": "3", "value": "228" }, { "root": "4", "value": "1003" }, { "root": "5", "value": "3098" }, { "root": "6", "value": "7743" }, { "root": "7", "value": "16768" } ], "quadraticTrials": [ { "linearCoefficient": -14, "constant": "-1", "remainder": [ "2775", "38999" ] }, { "linearCoefficient": -14, "constant": "1", "remainder": [ "-2713", "37823" ] }, { "linearCoefficient": -14, "constant": "-3", "remainder": [ "8487", "40183" ] }, { "linearCoefficient": -14, "constant": "3", "remainder": [ "-7977", "36655" ] }, { "linearCoefficient": -13, "constant": "-1", "remainder": [ "2226", "29063" ] }, { "linearCoefficient": -13, "constant": "1", "remainder": [ "-2168", "28049" ] }, { "linearCoefficient": -13, "constant": "-3", "remainder": [ "6828", "30085" ] }, { "linearCoefficient": -13, "constant": "3", "remainder": [ "-6354", "27043" ] }, { "linearCoefficient": -12, "constant": "-1", "remainder": [ "1755", "21163" ] }, { "linearCoefficient": -12, "constant": "1", "remainder": [ "-1701", "20299" ] }, { "linearCoefficient": -12, "constant": "-3", "remainder": [ "5403", "22035" ] }, { "linearCoefficient": -12, "constant": "3", "remainder": [ "-4965", "19443" ] }, { "linearCoefficient": -11, "constant": "-1", "remainder": [ "1356", "14999" ] }, { "linearCoefficient": -11, "constant": "1", "remainder": [ "-1306", "14273" ] }, { "linearCoefficient": -11, "constant": "-3", "remainder": [ "4194", "15733" ] }, { "linearCoefficient": -11, "constant": "3", "remainder": [ "-3792", "13555" ] }, { "linearCoefficient": -10, "constant": "-1", "remainder": [ "1023", "10295" ] }, { "linearCoefficient": -10, "constant": "1", "remainder": [ "-977", "9695" ] }, { "linearCoefficient": -10, "constant": "-3", "remainder": [ "3183", "10903" ] }, { "linearCoefficient": -10, "constant": "3", "remainder": [ "-2817", "9103" ] }, { "linearCoefficient": -9, "constant": "-1", "remainder": [ "750", "6799" ] }, { "linearCoefficient": -9, "constant": "1", "remainder": [ "-708", "6313" ] }, { "linearCoefficient": -9, "constant": "-3", "remainder": [ "2352", "7293" ] }, { "linearCoefficient": -9, "constant": "3", "remainder": [ "-2022", "5835" ] }, { "linearCoefficient": -8, "constant": "-1", "remainder": [ "531", "4283" ] }, { "linearCoefficient": -8, "constant": "1", "remainder": [ "-493", "3899" ] }, { "linearCoefficient": -8, "constant": "-3", "remainder": [ "1683", "4675" ] }, { "linearCoefficient": -8, "constant": "3", "remainder": [ "-1389", "3523" ] }, { "linearCoefficient": -7, "constant": "-1", "remainder": [ "360", "2543" ] }, { "linearCoefficient": -7, "constant": "1", "remainder": [ "-326", "2249" ] }, { "linearCoefficient": -7, "constant": "-3", "remainder": [ "1158", "2845" ] }, { "linearCoefficient": -7, "constant": "3", "remainder": [ "-900", "1963" ] }, { "linearCoefficient": -6, "constant": "-1", "remainder": [ "231", "1399" ] }, { "linearCoefficient": -6, "constant": "1", "remainder": [ "-201", "1183" ] }, { "linearCoefficient": -6, "constant": "-3", "remainder": [ "759", "1623" ] }, { "linearCoefficient": -6, "constant": "3", "remainder": [ "-537", "975" ] }, { "linearCoefficient": -5, "constant": "-1", "remainder": [ "138", "695" ] }, { "linearCoefficient": -5, "constant": "1", "remainder": [ "-112", "545" ] }, { "linearCoefficient": -5, "constant": "-3", "remainder": [ "468", "853" ] }, { "linearCoefficient": -5, "constant": "3", "remainder": [ "-282", "403" ] }, { "linearCoefficient": -4, "constant": "-1", "remainder": [ "75", "299" ] }, { "linearCoefficient": -4, "constant": "1", "remainder": [ "-53", "203" ] }, { "linearCoefficient": -4, "constant": "-3", "remainder": [ "267", "403" ] }, { "linearCoefficient": -4, "constant": "3", "remainder": [ "-117", "115" ] }, { "linearCoefficient": -3, "constant": "-1", "remainder": [ "36", "103" ] }, { "linearCoefficient": -3, "constant": "1", "remainder": [ "-18", "49" ] }, { "linearCoefficient": -3, "constant": "-3", "remainder": [ "138", "165" ] }, { "linearCoefficient": -3, "constant": "3", "remainder": [ "-24", "3" ] }, { "linearCoefficient": -2, "constant": "-1", "remainder": [ "15", "23" ] }, { "linearCoefficient": -2, "constant": "1", "remainder": [ "-1", "-1" ] }, { "linearCoefficient": -2, "constant": "-3", "remainder": [ "63", "55" ] }, { "linearCoefficient": -2, "constant": "3", "remainder": [ "15", "-17" ] }, { "linearCoefficient": -1, "constant": "-1", "remainder": [ "6", "-1" ] }, { "linearCoefficient": -1, "constant": "1", "remainder": [ "4", "-7" ] }, { "linearCoefficient": -1, "constant": "-3", "remainder": [ "24", "13" ] }, { "linearCoefficient": -1, "constant": "3", "remainder": [ "18", "-5" ] }, { "linearCoefficient": 0, "constant": "-1", "remainder": [ "3", "-5" ] }, { "linearCoefficient": 0, "constant": "1", "remainder": [ "3", "-5" ] }, { "linearCoefficient": 0, "constant": "-3", "remainder": [ "3", "3" ] }, { "linearCoefficient": 0, "constant": "3", "remainder": [ "3", "3" ] }, { "linearCoefficient": 1, "constant": "-1", "remainder": [ "0", "-1" ] }, { "linearCoefficient": 1, "constant": "1", "remainder": [ "2", "-7" ] }, { "linearCoefficient": 1, "constant": "-3", "remainder": [ "-18", "13" ] }, { "linearCoefficient": 1, "constant": "3", "remainder": [ "-12", "-5" ] }, { "linearCoefficient": 2, "constant": "-1", "remainder": [ "-9", "23" ] }, { "linearCoefficient": 2, "constant": "1", "remainder": [ "7", "-1" ] }, { "linearCoefficient": 2, "constant": "-3", "remainder": [ "-57", "55" ] }, { "linearCoefficient": 2, "constant": "3", "remainder": [ "-9", "-17" ] }, { "linearCoefficient": 3, "constant": "-1", "remainder": [ "-30", "103" ] }, { "linearCoefficient": 3, "constant": "1", "remainder": [ "24", "49" ] }, { "linearCoefficient": 3, "constant": "-3", "remainder": [ "-132", "165" ] }, { "linearCoefficient": 3, "constant": "3", "remainder": [ "30", "3" ] }, { "linearCoefficient": 4, "constant": "-1", "remainder": [ "-69", "299" ] }, { "linearCoefficient": 4, "constant": "1", "remainder": [ "59", "203" ] }, { "linearCoefficient": 4, "constant": "-3", "remainder": [ "-261", "403" ] }, { "linearCoefficient": 4, "constant": "3", "remainder": [ "123", "115" ] }, { "linearCoefficient": 5, "constant": "-1", "remainder": [ "-132", "695" ] }, { "linearCoefficient": 5, "constant": "1", "remainder": [ "118", "545" ] }, { "linearCoefficient": 5, "constant": "-3", "remainder": [ "-462", "853" ] }, { "linearCoefficient": 5, "constant": "3", "remainder": [ "288", "403" ] }, { "linearCoefficient": 6, "constant": "-1", "remainder": [ "-225", "1399" ] }, { "linearCoefficient": 6, "constant": "1", "remainder": [ "207", "1183" ] }, { "linearCoefficient": 6, "constant": "-3", "remainder": [ "-753", "1623" ] }, { "linearCoefficient": 6, "constant": "3", "remainder": [ "543", "975" ] }, { "linearCoefficient": 7, "constant": "-1", "remainder": [ "-354", "2543" ] }, { "linearCoefficient": 7, "constant": "1", "remainder": [ "332", "2249" ] }, { "linearCoefficient": 7, "constant": "-3", "remainder": [ "-1152", "2845" ] }, { "linearCoefficient": 7, "constant": "3", "remainder": [ "906", "1963" ] }, { "linearCoefficient": 8, "constant": "-1", "remainder": [ "-525", "4283" ] }, { "linearCoefficient": 8, "constant": "1", "remainder": [ "499", "3899" ] }, { "linearCoefficient": 8, "constant": "-3", "remainder": [ "-1677", "4675" ] }, { "linearCoefficient": 8, "constant": "3", "remainder": [ "1395", "3523" ] }, { "linearCoefficient": 9, "constant": "-1", "remainder": [ "-744", "6799" ] }, { "linearCoefficient": 9, "constant": "1", "remainder": [ "714", "6313" ] }, { "linearCoefficient": 9, "constant": "-3", "remainder": [ "-2346", "7293" ] }, { "linearCoefficient": 9, "constant": "3", "remainder": [ "2028", "5835" ] }, { "linearCoefficient": 10, "constant": "-1", "remainder": [ "-1017", "10295" ] }, { "linearCoefficient": 10, "constant": "1", "remainder": [ "983", "9695" ] }, { "linearCoefficient": 10, "constant": "-3", "remainder": [ "-3177", "10903" ] }, { "linearCoefficient": 10, "constant": "3", "remainder": [ "2823", "9103" ] }, { "linearCoefficient": 11, "constant": "-1", "remainder": [ "-1350", "14999" ] }, { "linearCoefficient": 11, "constant": "1", "remainder": [ "1312", "14273" ] }, { "linearCoefficient": 11, "constant": "-3", "remainder": [ "-4188", "15733" ] }, { "linearCoefficient": 11, "constant": "3", "remainder": [ "3798", "13555" ] }, { "linearCoefficient": 12, "constant": "-1", "remainder": [ "-1749", "21163" ] }, { "linearCoefficient": 12, "constant": "1", "remainder": [ "1707", "20299" ] }, { "linearCoefficient": 12, "constant": "-3", "remainder": [ "-5397", "22035" ] }, { "linearCoefficient": 12, "constant": "3", "remainder": [ "4971", "19443" ] }, { "linearCoefficient": 13, "constant": "-1", "remainder": [ "-2220", "29063" ] }, { "linearCoefficient": 13, "constant": "1", "remainder": [ "2174", "28049" ] }, { "linearCoefficient": 13, "constant": "-3", "remainder": [ "-6822", "30085" ] }, { "linearCoefficient": 13, "constant": "3", "remainder": [ "6360", "27043" ] }, { "linearCoefficient": 14, "constant": "-1", "remainder": [ "-2769", "38999" ] }, { "linearCoefficient": 14, "constant": "1", "remainder": [ "2719", "37823" ] }, { "linearCoefficient": 14, "constant": "-3", "remainder": [ "-8481", "40183" ] }, { "linearCoefficient": 14, "constant": "3", "remainder": [ "7983", "36655" ] } ], "found": null, "quotient": null } ], "product": [ "3", "-6", "0", "0", "0", "1" ] }, "discriminant": { "value": "-1737531", "square": { "square": false, "root": null }, "sylvester": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "5", "0", "0", "0", "-6", "0", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "-6", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "-6", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ], "resultant": "-1737531", "bareiss": [ { "column": 0, "swappedWith": 0, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "-6", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "-6", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 1, "swappedWith": 1, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "24", "-15", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "-6", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 2, "swappedWith": 2, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "24", "-15", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "24", "-15", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 3, "swappedWith": 3, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "24", "-15", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "24", "-15", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "24", "-15" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 4, "swappedWith": 4, "pivot": "24", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "576", "-360", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "576", "-360" ], [ "0", "0", "0", "0", "0", "75", "0", "0", "-144" ] ] }, { "column": 5, "swappedWith": 5, "pivot": "576", "previousPivot": "24", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "13824", "-8640", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "13824", "-8640" ], [ "0", "0", "0", "0", "0", "0", "1125", "0", "-3456" ] ] }, { "column": 6, "swappedWith": 6, "pivot": "13824", "previousPivot": "576", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "13824", "-8640", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "331776", "-207360" ], [ "0", "0", "0", "0", "0", "0", "0", "16875", "-82944" ] ] }, { "column": 7, "swappedWith": 7, "pivot": "331776", "previousPivot": "13824", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "13824", "-8640", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "331776", "-207360" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "-1737531" ] ] } ] }, "real": { "squareFreePart": [ "3", "-6", "0", "0", "0", "1" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "-6", "0", "0", "0", "1" ], "divisor": [ "-6", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "3", "-24/5" ] }, { "dividend": [ "-6", "0", "0", "0", "5" ], "divisor": [ "3", "-24/5" ], "quotient": [ "-3125/12288", "-625/1536", "-125/192", "-25/24" ], "remainder": [ "-21451/4096" ] }, { "dividend": [ "3", "-24/5" ], "divisor": [ "-21451/4096" ], "quotient": [ "-12288/21451", "98304/107255" ], "remainder": [ "0" ] } ], "sequence": [ [ "3", "-6", "0", "0", "0", "1" ], [ "-6", "0", "0", "0", "5" ], [ "-3", "24/5" ], [ "21451/4096" ] ], "divisions": [ { "dividend": [ "3", "-6", "0", "0", "0", "1" ], "divisor": [ "-6", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "3", "-24/5" ] }, { "dividend": [ "-6", "0", "0", "0", "5" ], "divisor": [ "-3", "24/5" ], "quotient": [ "3125/12288", "625/1536", "125/192", "25/24" ], "remainder": [ "-21451/4096" ] }, { "dividend": [ "-3", "24/5" ], "divisor": [ "21451/4096" ], "quotient": [ "-12288/21451", "98304/107255" ], "remainder": [ "0" ] } ], "leftInfinity": [ -1, 1, -1, 1 ], "rightInfinity": [ 1, 1, 1, 1 ], "leftVariation": 3, "rightVariation": 0, "rootCount": 3, "bound": 7, "bits": 8, "intervalConvention": "(left,right]", "nodes": [ { "id": 0, "parent": null, "left": "-7", "right": "7", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 3, "rightVariation": 0, "count": 3, "children": [ 1, 2 ] }, { "id": 1, "parent": 0, "left": "-7", "right": "0", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 3, 4 ] }, { "id": 2, "parent": 0, "left": "0", "right": "7", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 2, "rightVariation": 0, "count": 2, "children": [ 5, 6 ] }, { "id": 3, "parent": 1, "left": "-7", "right": "-7/2", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 4, "parent": 1, "left": "-7/2", "right": "0", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 7, 8 ] }, { "id": 5, "parent": 2, "left": "0", "right": "7/2", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 2, "rightVariation": 0, "count": 2, "children": [ 9, 10 ] }, { "id": 6, "parent": 2, "left": "7/2", "right": "7", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 7, "parent": 4, "left": "-7/2", "right": "-7/4", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 8, "parent": 4, "left": "-7/4", "right": "0", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 11, 12 ] }, { "id": 9, "parent": 5, "left": "0", "right": "7/4", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 2, "rightVariation": 0, "count": 2, "children": [ 13, 14 ] }, { "id": 10, "parent": 5, "left": "7/4", "right": "7/2", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 11, "parent": 8, "left": "-7/4", "right": "-7/8", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 15, 16 ] }, { "id": 12, "parent": 8, "left": "-7/8", "right": "0", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 13, "parent": 9, "left": "0", "right": "7/8", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 17, 18 ] }, { "id": 14, "parent": 9, "left": "7/8", "right": "7/4", "leftSigns": [ -1, -1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 19, 20 ] }, { "id": 15, "parent": 11, "left": "-7/4", "right": "-21/16", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 21, 22 ] }, { "id": 16, "parent": 11, "left": "-21/16", "right": "-7/8", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 17, "parent": 13, "left": "0", "right": "7/16", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 18, "parent": 13, "left": "7/16", "right": "7/8", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 23, 24 ] }, { "id": 19, "parent": 14, "left": "7/8", "right": "21/16", "leftSigns": [ -1, -1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 20, "parent": 14, "left": "21/16", "right": "7/4", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 25, 26 ] }, { "id": 21, "parent": 15, "left": "-7/4", "right": "-49/32", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 27, 28 ] }, { "id": 22, "parent": 15, "left": "-49/32", "right": "-21/16", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 23, "parent": 18, "left": "7/16", "right": "21/32", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 29, 30 ] }, { "id": 24, "parent": 18, "left": "21/32", "right": "7/8", "leftSigns": [ -1, -1, 1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 25, "parent": 20, "left": "21/16", "right": "49/32", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 31, 32 ] }, { "id": 26, "parent": 20, "left": "49/32", "right": "7/4", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 27, "parent": 21, "left": "-7/4", "right": "-105/64", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 33, 34 ] }, { "id": 28, "parent": 21, "left": "-105/64", "right": "-49/32", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 29, "parent": 23, "left": "7/16", "right": "35/64", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 35, 36 ] }, { "id": 30, "parent": 23, "left": "35/64", "right": "21/32", "leftSigns": [ -1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 31, "parent": 25, "left": "21/16", "right": "91/64", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 37, 38 ] }, { "id": 32, "parent": 25, "left": "91/64", "right": "49/32", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 33, "parent": 27, "left": "-7/4", "right": "-217/128", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 34, "parent": 27, "left": "-217/128", "right": "-105/64", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 39, 40 ] }, { "id": 35, "parent": 29, "left": "7/16", "right": "63/128", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 36, "parent": 29, "left": "63/128", "right": "35/64", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 41, 42 ] }, { "id": 37, "parent": 31, "left": "21/16", "right": "175/128", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 38, "parent": 31, "left": "175/128", "right": "91/64", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 43, 44 ] }, { "id": 39, "parent": 34, "left": "-217/128", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 45, 46 ] }, { "id": 40, "parent": 34, "left": "-427/256", "right": "-105/64", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 41, "parent": 36, "left": "63/128", "right": "133/256", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 47, 48 ] }, { "id": 42, "parent": 36, "left": "133/256", "right": "35/64", "leftSigns": [ -1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 43, "parent": 38, "left": "175/128", "right": "357/256", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 44, "parent": 38, "left": "357/256", "right": "91/64", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 49, 50 ] }, { "id": 45, "parent": 39, "left": "-217/128", "right": "-861/512", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 46, "parent": 39, "left": "-861/512", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 51, 52 ] }, { "id": 47, "parent": 41, "left": "63/128", "right": "259/512", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 53, 54 ] }, { "id": 48, "parent": 41, "left": "259/512", "right": "133/256", "leftSigns": [ -1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 49, "parent": 44, "left": "357/256", "right": "721/512", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 55, 56 ] }, { "id": 50, "parent": 44, "left": "721/512", "right": "91/64", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 51, "parent": 46, "left": "-861/512", "right": "-1715/1024", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 52, "parent": 46, "left": "-1715/1024", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 57, 58 ] }, { "id": 53, "parent": 47, "left": "63/128", "right": "511/1024", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 54, "parent": 47, "left": "511/1024", "right": "259/512", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 59, 60 ] }, { "id": 55, "parent": 49, "left": "357/256", "right": "1435/1024", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 56, "parent": 49, "left": "1435/1024", "right": "721/512", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 61, 62 ] }, { "id": 57, "parent": 52, "left": "-1715/1024", "right": "-3423/2048", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 58, "parent": 52, "left": "-3423/2048", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [] }, { "id": 59, "parent": 54, "left": "511/1024", "right": "1029/2048", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 60, "parent": 54, "left": "1029/2048", "right": "259/512", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [] }, { "id": 61, "parent": 56, "left": "1435/1024", "right": "2877/2048", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [] }, { "id": 62, "parent": 56, "left": "2877/2048", "right": "721/512", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] } ], "leaves": [ 58, 60, 61 ] }, "reductions": [ { "prime": 2, "reduced": [ "1", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "1" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "1", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "1" ], "quotient": [ "0", "1" ], "remainder": [ "1" ] }, { "dividend": [ "0", "0", "0", "0", "1" ], "divisor": [ "1" ], "quotient": [ "0", "0", "0", "0", "1" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "1", "1" ], [ "1", "1", "1", "1", "1" ] ], "degrees": [ 1, 4 ], "divisions": [ { "dividend": [ "1", "0", "0", "0", "0", "1" ], "factor": [ "1", "1" ], "quotient": [ "1", "1", "1", "1", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "1" ], [ "1" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "1", "1", "1", "1", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "1" ], [ "1", "1", "1", "1" ], [ "0", "0", "0", "1" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 2, "difference": [ "1", "0", "1", "1" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "1", "1", "1", "1", "1" ], "divisor": [ "1", "0", "1", "1" ], "quotient": [ "0", "1" ], "remainder": [ "1", "0", "1" ] }, { "dividend": [ "1", "0", "1", "1" ], "divisor": [ "1", "0", "1" ], "quotient": [ "1", "1" ], "remainder": [ "0", "1" ] }, { "dividend": [ "1", "0", "1" ], "divisor": [ "0", "1" ], "quotient": [ "0", "1" ], "remainder": [ "1" ] }, { "dividend": [ "0", "1" ], "divisor": [ "1" ], "quotient": [ "0", "1" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "1", "0", "0", "0", "0", "1" ], "cycleType": "1,4" }, { "prime": 3, "reduced": [ "0", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "2" ], "gcd": [ "0", "0", "0", "0", "1" ], "gcdSteps": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "2" ], "quotient": [ "0", "2" ], "remainder": [ "0" ] } ], "good": false, "factors": [ [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ] ], "degrees": [ 1, 1, 1, 1, 1 ], "divisions": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "1" ] }, { "dividend": [ "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] } ], "product": [ "0", "0", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 5, "reduced": [ "3", "4", "0", "0", "0", "1" ], "derivative": [ "4" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "4", "0", "0", "0", "1" ], "divisor": [ "4" ], "quotient": [ "2", "1", "0", "0", "0", "4" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "4", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "3", "4", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "2", "1" ], [ "4", "1" ], [ "1", "1" ], [ "3", "1" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "2" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "3", "4", "0", "0", "0", "1" ], "divisor": [ "2" ], "quotient": [ "4", "2", "0", "0", "0", "3" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "4", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 7, "reduced": [ "3", "1", "0", "0", "0", "1" ], "derivative": [ "1", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "1", "0", "0", "0", "1" ], "divisor": [ "1", "0", "0", "0", "5" ], "quotient": [ "0", "3" ], "remainder": [ "3", "5" ] }, { "dividend": [ "1", "0", "0", "0", "5" ], "divisor": [ "3", "5" ], "quotient": [ "6", "4", "5", "1" ], "remainder": [ "4" ] }, { "dividend": [ "3", "5" ], "divisor": [ "4" ], "quotient": [ "6", "3" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "1", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "3", "1", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "4", "6" ], [ "1", "3", "0", "2", "3" ], [ "3", "2", "3", "4", "2" ], [ "3", "1", "0", "2", "2" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "0", "6", "4", "6" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "3", "1", "0", "0", "0", "1" ], "divisor": [ "0", "6", "4", "6" ], "quotient": [ "6", "3", "6" ], "remainder": [ "3" ] }, { "dividend": [ "0", "6", "4", "6" ], "divisor": [ "3" ], "quotient": [ "0", "2", "6", "2" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "1", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 11, "reduced": [ "3", "5", "0", "0", "0", "1" ], "derivative": [ "5", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "5", "0", "0", "0", "1" ], "divisor": [ "5", "0", "0", "0", "5" ], "quotient": [ "0", "9" ], "remainder": [ "3", "4" ] }, { "dividend": [ "5", "0", "0", "0", "5" ], "divisor": [ "3", "4" ], "quotient": [ "10", "5", "8", "4" ], "remainder": [ "8" ] }, { "dividend": [ "3", "4" ], "divisor": [ "8" ], "quotient": [ "10", "6" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "8", "3", "1" ], [ "10", "1", "8", "1" ] ], "degrees": [ 2, 3 ], "divisions": [ { "dividend": [ "3", "5", "0", "0", "0", "1" ], "factor": [ "8", "3", "1" ], "quotient": [ "10", "1", "8", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "8", "3", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "8", "10" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "8", "9" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "8", "3", "1" ], "divisor": [ "8", "9" ], "quotient": [ "2", "5" ], "remainder": [ "3" ] }, { "dividend": [ "8", "9" ], "divisor": [ "3" ], "quotient": [ "10", "3" ], "remainder": [ "0" ] } ] } ] }, { "factor": [ "10", "1", "8", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "3", "6", "6" ], [ "0", "4", "5" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "3", "5", "6" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "10", "1", "8", "1" ], "divisor": [ "3", "5", "6" ], "quotient": [ "7", "2" ], "remainder": [ "0", "4" ] }, { "dividend": [ "3", "5", "6" ], "divisor": [ "0", "4" ], "quotient": [ "4", "7" ], "remainder": [ "3" ] }, { "dividend": [ "0", "4" ], "divisor": [ "3" ], "quotient": [ "0", "5" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "5", "0", "0", "0", "1" ], "cycleType": "2,3" }, { "prime": 13, "reduced": [ "3", "7", "0", "0", "0", "1" ], "derivative": [ "7", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "7", "0", "0", "0", "1" ], "divisor": [ "7", "0", "0", "0", "5" ], "quotient": [ "0", "8" ], "remainder": [ "3", "3" ] }, { "dividend": [ "7", "0", "0", "0", "5" ], "divisor": [ "3", "3" ], "quotient": [ "7", "6", "7", "6" ], "remainder": [ "12" ] }, { "dividend": [ "3", "3" ], "divisor": [ "12" ], "quotient": [ "10", "10" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "7", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "3", "7", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "9", "8", "0", "9", "3" ], [ "12", "12", "10", "10", "4" ], [ "10", "10", "12", "2", "12" ], [ "8", "8", "4", "5", "7" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "9", "7", "0", "9", "3" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "3", "7", "0", "0", "0", "1" ], "divisor": [ "9", "7", "0", "9", "3" ], "quotient": [ "12", "9" ], "remainder": [ "12", "11", "2", "9" ] }, { "dividend": [ "9", "7", "0", "9", "3" ], "divisor": [ "12", "11", "2", "9" ], "quotient": [ "12", "9" ], "remainder": [ "8", "1", "7" ] }, { "dividend": [ "12", "11", "2", "9" ], "divisor": [ "8", "1", "7" ], "quotient": [ "7", "5" ], "remainder": [ "8", "3" ] }, { "dividend": [ "8", "1", "7" ], "divisor": [ "8", "3" ], "quotient": [ "10", "11" ], "remainder": [ "6" ] }, { "dividend": [ "8", "3" ], "divisor": [ "6" ], "quotient": [ "10", "7" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "7", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 17, "reduced": [ "3", "11", "0", "0", "0", "1" ], "derivative": [ "11", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "11", "0", "0", "0", "1" ], "divisor": [ "11", "0", "0", "0", "5" ], "quotient": [ "0", "7" ], "remainder": [ "3", "2" ] }, { "dividend": [ "11", "0", "0", "0", "5" ], "divisor": [ "3", "2" ], "quotient": [ "16", "12", "9", "11" ], "remainder": [ "14" ] }, { "dividend": [ "3", "2" ], "divisor": [ "14" ], "quotient": [ "16", "5" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "13", "1" ], [ "2", "1" ], [ "7", "1" ], [ "13", "12", "1" ] ], "degrees": [ 1, 1, 1, 2 ], "divisions": [ { "dividend": [ "3", "11", "0", "0", "0", "1" ], "factor": [ "2", "1" ], "quotient": [ "10", "9", "4", "15", "1" ] }, { "dividend": [ "10", "9", "4", "15", "1" ], "factor": [ "7", "1" ], "quotient": [ "16", "16", "8", "1" ] }, { "dividend": [ "16", "16", "8", "1" ], "factor": [ "13", "1" ], "quotient": [ "13", "12", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "13", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "2", "1" ], "frobeniusRemainders": [ [ "15" ], [ "15" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "7", "1" ], "frobeniusRemainders": [ [ "10" ], [ "10" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "13", "12", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "5", "16" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "5", "15" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "13", "12", "1" ], "divisor": [ "5", "15" ], "quotient": [ "14", "8" ], "remainder": [ "11" ] }, { "dividend": [ "5", "15" ], "divisor": [ "11" ], "quotient": [ "2", "6" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "11", "0", "0", "0", "1" ], "cycleType": "1,1,1,2" }, { "prime": 19, "reduced": [ "3", "13", "0", "0", "0", "1" ], "derivative": [ "13", "0", "0", "0", "5" ], "gcd": [ "16", "1" ], "gcdSteps": [ { "dividend": [ "3", "13", "0", "0", "0", "1" ], "divisor": [ "13", "0", "0", "0", "5" ], "quotient": [ "0", "4" ], "remainder": [ "3", "18" ] }, { "dividend": [ "13", "0", "0", "0", "5" ], "divisor": [ "3", "18" ], "quotient": [ "17", "12", "4", "14" ], "remainder": [ "0" ] } ], "good": false, "factors": [ [ "16", "1" ], [ "16", "1" ], [ "13", "8", "6", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "3", "13", "0", "0", "0", "1" ], "factor": [ "16", "1" ], "quotient": [ "18", "8", "9", "3", "1" ] }, { "dividend": [ "18", "8", "9", "3", "1" ], "factor": [ "16", "1" ], "quotient": [ "13", "8", "6", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "16", "1" ], "frobeniusRemainders": [ [ "3" ], [ "3" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "16", "1" ], "frobeniusRemainders": [ [ "3" ], [ "3" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "13", "8", "6", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "16", "17", "10" ], [ "16", "1", "9" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "16", "16", "10" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "13", "8", "6", "1" ], "divisor": [ "16", "16", "10" ], "quotient": [ "5", "2" ], "remainder": [ "9", "10" ] }, { "dividend": [ "16", "16", "10" ], "divisor": [ "9", "10" ], "quotient": [ "14", "1" ], "remainder": [ "4" ] }, { "dividend": [ "9", "10" ], "divisor": [ "4" ], "quotient": [ "7", "12" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "13", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 23, "reduced": [ "3", "17", "0", "0", "0", "1" ], "derivative": [ "17", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "17", "0", "0", "0", "1" ], "divisor": [ "17", "0", "0", "0", "5" ], "quotient": [ "0", "14" ], "remainder": [ "3", "9" ] }, { "dividend": [ "17", "0", "0", "0", "5" ], "divisor": [ "3", "9" ], "quotient": [ "12", "10", "16", "21" ], "remainder": [ "4" ] }, { "dividend": [ "3", "9" ], "divisor": [ "4" ], "quotient": [ "18", "8" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "21", "1" ], [ "13", "21", "1" ], [ "22", "4", "1" ] ], "degrees": [ 1, 2, 2 ], "divisions": [ { "dividend": [ "3", "17", "0", "0", "0", "1" ], "factor": [ "21", "1" ], "quotient": [ "10", "8", "4", "2", "1" ] }, { "dividend": [ "10", "8", "4", "2", "1" ], "factor": [ "22", "4", "1" ], "quotient": [ "13", "21", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "21", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "13", "21", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "2", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "2", "21" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "13", "21", "1" ], "divisor": [ "2", "21" ], "quotient": [ "12", "11" ], "remainder": [ "12" ] }, { "dividend": [ "2", "21" ], "divisor": [ "12" ], "quotient": [ "4", "19" ], "remainder": [ "0" ] } ] } ] }, { "factor": [ "22", "4", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "19", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "19", "21" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "22", "4", "1" ], "divisor": [ "19", "21" ], "quotient": [ "22", "11" ], "remainder": [ "18" ] }, { "dividend": [ "19", "21" ], "divisor": [ "18" ], "quotient": [ "10", "5" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "17", "0", "0", "0", "1" ], "cycleType": "1,2,2" }, { "prime": 29, "reduced": [ "3", "23", "0", "0", "0", "1" ], "derivative": [ "23", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "23", "0", "0", "0", "1" ], "divisor": [ "23", "0", "0", "0", "5" ], "quotient": [ "0", "6" ], "remainder": [ "3", "1" ] }, { "dividend": [ "23", "0", "0", "0", "5" ], "divisor": [ "3", "1" ], "quotient": [ "10", "16", "14", "5" ], "remainder": [ "22" ] }, { "dividend": [ "3", "1" ], "divisor": [ "22" ], "quotient": [ "12", "4" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "23", "1" ], [ "7", "1" ], [ "2", "14", "28", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "3", "23", "0", "0", "0", "1" ], "factor": [ "7", "1" ], "quotient": [ "17", "5", "20", "22", "1" ] }, { "dividend": [ "17", "5", "20", "22", "1" ], "factor": [ "23", "1" ], "quotient": [ "2", "14", "28", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "23", "1" ], "frobeniusRemainders": [ [ "6" ], [ "6" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "7", "1" ], "frobeniusRemainders": [ [ "22" ], [ "22" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "2", "14", "28", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "19", "17", "7" ], [ "11", "11", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "19", "16", "7" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "2", "14", "28", "1" ], "divisor": [ "19", "16", "7" ], "quotient": [ "9", "25" ], "remainder": [ "5", "4" ] }, { "dividend": [ "19", "16", "7" ], "divisor": [ "5", "4" ], "quotient": [ "0", "9" ], "remainder": [ "19" ] }, { "dividend": [ "5", "4" ], "divisor": [ "19" ], "quotient": [ "14", "17" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "23", "0", "0", "0", "1" ], "cycleType": "1,1,3" } ], "eisenstein": [ { "prime": 2, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 3, "divisible": [ true, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": true }, { "prime": 5, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 7, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 11, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 13, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 17, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 19, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 23, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 29, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false } ], "construction": null }, "selectedPrime": 2, "evidence": [ { "kind": "cycle", "source": "prime", "prime": 2, "type": "1,4" } ], "unusedEvidence": [], "realConjugation": { "rootDegree": 5, "realCount": 3, "complexPairs": 1, "type": "1,1,1,2" }, "classification": { "applicable": true, "steps": [ { "evidence": { "kind": "cycle", "source": "prime", "prime": 2, "type": "1,4" }, "before": [ "C5", "D5", "F20", "A5", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [ { "group": "C5", "reason": "群中没有该循环型" }, { "group": "D5", "reason": "群中没有该循环型" }, { "group": "A5", "reason": "群中没有该循环型" } ] } ], "remaining": [ "F20", "S5" ], "solvable": null, "exactGroup": null, "reason": "剩余候选同时含可解群与不可解群，证据不足" }, "candidateModels": [ { "id": "C5", "order": 5, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "labels": [ "()", "(1 2 3 4 5)", "(1 3 5 2 4)", "(1 4 2 5 3)", "(1 5 4 3 2)" ], "multiplication": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "inverses": [ 0, 4, 3, 2, 1 ], "cycleTypes": [ "1,1,1,1,1", "5", "5", "5", "5" ], "availableTypes": [ "1,1,1,1,1", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 0 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 0 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 4, 0, 0 ], [ 4, 1, 0 ], [ 4, 2, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "D5", "order": 10, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], [ 1, 0, 8, 9, 7, 6, 5, 4, 2, 3 ], [ 2, 3, 0, 1, 8, 9, 7, 6, 4, 5 ], [ 3, 2, 4, 5, 6, 7, 9, 8, 0, 1 ], [ 4, 5, 3, 2, 0, 1, 8, 9, 6, 7 ], [ 5, 4, 6, 7, 9, 8, 1, 0, 3, 2 ], [ 6, 7, 5, 4, 3, 2, 0, 1, 9, 8 ], [ 7, 6, 9, 8, 1, 0, 2, 3, 5, 4 ], [ 8, 9, 1, 0, 2, 3, 4, 5, 7, 6 ], [ 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 8, 4, 7, 6, 5, 3, 9 ], "cycleTypes": [ "1,1,1,1,1", "1,2,2", "1,2,2", "5", "1,2,2", "5", "1,2,2", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 7 ], [ 1, 3, 7 ], [ 1, 4, 3 ], [ 1, 5, 3 ], [ 1, 6, 8 ], [ 1, 7, 8 ], [ 1, 8, 5 ], [ 1, 9, 5 ], [ 2, 0, 0 ], [ 2, 1, 5 ], [ 2, 2, 0 ], [ 2, 3, 7 ], [ 2, 4, 7 ], [ 2, 5, 3 ], [ 2, 6, 3 ], [ 2, 7, 8 ], [ 2, 8, 5 ], [ 2, 9, 8 ], [ 3, 0, 0 ], [ 3, 1, 5 ], [ 3, 2, 5 ], [ 3, 3, 0 ], [ 3, 4, 5 ], [ 3, 5, 0 ], [ 3, 6, 5 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 3, 9, 5 ], [ 4, 0, 0 ], [ 4, 1, 8 ], [ 4, 2, 5 ], [ 4, 3, 7 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 7 ], [ 4, 7, 8 ], [ 4, 8, 5 ], [ 4, 9, 3 ], [ 5, 0, 0 ], [ 5, 1, 8 ], [ 5, 2, 8 ], [ 5, 3, 0 ], [ 5, 4, 8 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 5, 9, 8 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 8 ], [ 6, 3, 7 ], [ 6, 4, 5 ], [ 6, 5, 3 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 5 ], [ 6, 9, 7 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 3 ], [ 7, 3, 0 ], [ 7, 4, 3 ], [ 7, 5, 0 ], [ 7, 6, 3 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 7, 9, 3 ], [ 8, 0, 0 ], [ 8, 1, 7 ], [ 8, 2, 7 ], [ 8, 3, 0 ], [ 8, 4, 7 ], [ 8, 5, 0 ], [ 8, 6, 7 ], [ 8, 7, 0 ], [ 8, 8, 0 ], [ 8, 9, 7 ], [ 9, 0, 0 ], [ 9, 1, 7 ], [ 9, 2, 3 ], [ 9, 3, 7 ], [ 9, 4, 8 ], [ 9, 5, 3 ], [ 9, 6, 5 ], [ 9, 7, 8 ], [ 9, 8, 5 ], [ 9, 9, 0 ] ], "generators": [ 0, 3, 5, 7, 8 ], "next": [ 0, 3, 5, 7, 8 ], "words": { "0": [], "3": [ 3 ], "5": [ 5 ], "7": [ 7 ], "8": [ 8 ] } }, { "elements": [ 0, 3, 5, 7, 8 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 5, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 5, 0 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 5, 0, 0 ], [ 5, 3, 0 ], [ 5, 5, 0 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 7, 0, 0 ], [ 7, 3, 0 ], [ 7, 5, 0 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 8, 0, 0 ], [ 8, 3, 0 ], [ 8, 5, 0 ], [ 8, 7, 0 ], [ 8, 8, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "F20", "order": 20, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 2, 4, 1, 3 ], [ 0, 3, 1, 4, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 4, 2, 0, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 1, 3, 0 ], [ 3, 0, 2, 4, 1 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 1, 3, 0, 2 ], [ 4, 2, 0, 3, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 3 5 4)", "(2 4 5 3)", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 2 4 3)", "(1 2 5 4)", "(1 3 4 2)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 3 2 5)", "(1 4 5 2)", "(1 4 3 5)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5 3 4)", "(1 5 2 3)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], [ 1, 3, 0, 2, 8, 11, 9, 10, 16, 18, 17, 19, 4, 5, 7, 6, 12, 14, 15, 13 ], [ 2, 0, 3, 1, 12, 13, 15, 14, 4, 6, 7, 5, 16, 19, 17, 18, 8, 10, 9, 11 ], [ 3, 2, 1, 0, 16, 19, 18, 17, 12, 15, 14, 13, 8, 11, 10, 9, 4, 7, 6, 5 ], [ 4, 7, 6, 5, 0, 3, 2, 1, 17, 16, 19, 18, 13, 12, 15, 14, 9, 8, 11, 10 ], [ 5, 6, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12, 17, 18, 19, 16, 0, 1, 2, 3 ], [ 6, 4, 5, 7, 13, 12, 14, 15, 0, 2, 1, 3, 9, 10, 8, 11, 17, 19, 16, 18 ], [ 7, 5, 4, 6, 17, 18, 16, 19, 9, 11, 8, 10, 0, 3, 1, 2, 13, 15, 14, 12 ], [ 8, 10, 9, 11, 1, 2, 0, 3, 14, 12, 13, 15, 5, 4, 6, 7, 18, 16, 19, 17 ], [ 9, 8, 11, 10, 5, 4, 7, 6, 1, 0, 3, 2, 18, 17, 16, 19, 14, 13, 12, 15 ], [ 10, 11, 8, 9, 14, 15, 12, 13, 18, 19, 16, 17, 1, 2, 3, 0, 5, 6, 7, 4 ], [ 11, 9, 10, 8, 18, 17, 19, 16, 5, 7, 6, 4, 14, 15, 13, 12, 1, 3, 0, 2 ], [ 12, 14, 15, 13, 2, 1, 3, 0, 10, 8, 11, 9, 19, 16, 18, 17, 6, 4, 5, 7 ], [ 13, 15, 14, 12, 6, 7, 5, 4, 19, 17, 18, 16, 10, 9, 11, 8, 2, 0, 3, 1 ], [ 14, 13, 12, 15, 10, 9, 8, 11, 6, 5, 4, 7, 2, 1, 0, 3, 19, 18, 17, 16 ], [ 15, 12, 13, 14, 19, 16, 17, 18, 2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9 ], [ 16, 17, 18, 19, 3, 0, 1, 2, 7, 4, 5, 6, 11, 8, 9, 10, 15, 12, 13, 14 ], [ 17, 19, 16, 18, 7, 6, 4, 5, 15, 13, 12, 14, 3, 0, 2, 1, 11, 9, 10, 8 ], [ 18, 16, 19, 17, 11, 8, 10, 9, 3, 1, 2, 0, 15, 14, 12, 13, 7, 5, 4, 6 ], [ 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 4, 16, 8, 12, 6, 9, 15, 18, 7, 17, 14, 10, 5, 13, 11, 19 ], "cycleTypes": [ "1,1,1,1,1", "1,4", "1,4", "1,2,2", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "5", "1,4", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "1,4", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 5 ], [ 1, 5, 5 ], [ 1, 6, 5 ], [ 1, 7, 5 ], [ 1, 8, 10 ], [ 1, 9, 10 ], [ 1, 10, 10 ], [ 1, 11, 10 ], [ 1, 12, 15 ], [ 1, 13, 15 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 16 ], [ 1, 17, 16 ], [ 1, 18, 16 ], [ 1, 19, 16 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 10 ], [ 2, 5, 10 ], [ 2, 6, 10 ], [ 2, 7, 10 ], [ 2, 8, 16 ], [ 2, 9, 16 ], [ 2, 10, 16 ], [ 2, 11, 16 ], [ 2, 12, 5 ], [ 2, 13, 5 ], [ 2, 14, 5 ], [ 2, 15, 5 ], [ 2, 16, 15 ], [ 2, 17, 15 ], [ 2, 18, 15 ], [ 2, 19, 15 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 15 ], [ 3, 5, 15 ], [ 3, 6, 15 ], [ 3, 7, 15 ], [ 3, 8, 5 ], [ 3, 9, 5 ], [ 3, 10, 5 ], [ 3, 11, 5 ], [ 3, 12, 16 ], [ 3, 13, 16 ], [ 3, 14, 16 ], [ 3, 15, 16 ], [ 3, 16, 10 ], [ 3, 17, 10 ], [ 3, 18, 10 ], [ 3, 19, 10 ], [ 4, 0, 0 ], [ 4, 1, 16 ], [ 4, 2, 15 ], [ 4, 3, 10 ], [ 4, 4, 0 ], [ 4, 5, 15 ], [ 4, 6, 10 ], [ 4, 7, 5 ], [ 4, 8, 16 ], [ 4, 9, 15 ], [ 4, 10, 5 ], [ 4, 11, 0 ], [ 4, 12, 15 ], [ 4, 13, 10 ], [ 4, 14, 5 ], [ 4, 15, 16 ], [ 4, 16, 10 ], [ 4, 17, 5 ], [ 4, 18, 0 ], [ 4, 19, 16 ], [ 5, 0, 0 ], [ 5, 1, 16 ], [ 5, 2, 15 ], [ 5, 3, 10 ], [ 5, 4, 10 ], [ 5, 5, 0 ], [ 5, 6, 16 ], [ 5, 7, 15 ], [ 5, 8, 15 ], [ 5, 9, 10 ], [ 5, 10, 0 ], [ 5, 11, 16 ], [ 5, 12, 16 ], [ 5, 13, 15 ], [ 5, 14, 10 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 5, 17, 16 ], [ 5, 18, 15 ], [ 5, 19, 10 ], [ 6, 0, 0 ], [ 6, 1, 16 ], [ 6, 2, 15 ], [ 6, 3, 10 ], [ 6, 4, 15 ], [ 6, 5, 5 ], [ 6, 6, 0 ], [ 6, 7, 16 ], [ 6, 8, 0 ], [ 6, 9, 16 ], [ 6, 10, 10 ], [ 6, 11, 5 ], [ 6, 12, 10 ], [ 6, 13, 5 ], [ 6, 14, 0 ], [ 6, 15, 15 ], [ 6, 16, 16 ], [ 6, 17, 15 ], [ 6, 18, 10 ], [ 6, 19, 5 ], [ 7, 0, 0 ], [ 7, 1, 16 ], [ 7, 2, 15 ], [ 7, 3, 10 ], [ 7, 4, 16 ], [ 7, 5, 10 ], [ 7, 6, 5 ], [ 7, 7, 0 ], [ 7, 8, 10 ], [ 7, 9, 5 ], [ 7, 10, 16 ], [ 7, 11, 15 ], [ 7, 12, 0 ], [ 7, 13, 16 ], [ 7, 14, 15 ], [ 7, 15, 5 ], [ 7, 16, 15 ], [ 7, 17, 10 ], [ 7, 18, 5 ], [ 7, 19, 0 ], [ 8, 0, 0 ], [ 8, 1, 15 ], [ 8, 2, 5 ], [ 8, 3, 16 ], [ 8, 4, 5 ], [ 8, 5, 10 ], [ 8, 6, 0 ], [ 8, 7, 15 ], [ 8, 8, 0 ], [ 8, 9, 15 ], [ 8, 10, 16 ], [ 8, 11, 10 ], [ 8, 12, 16 ], [ 8, 13, 10 ], [ 8, 14, 0 ], [ 8, 15, 5 ], [ 8, 16, 15 ], [ 8, 17, 5 ], [ 8, 18, 16 ], [ 8, 19, 10 ], [ 9, 0, 0 ], [ 9, 1, 15 ], [ 9, 2, 5 ], [ 9, 3, 16 ], [ 9, 4, 10 ], [ 9, 5, 15 ], [ 9, 6, 5 ], [ 9, 7, 16 ], [ 9, 8, 10 ], [ 9, 9, 0 ], [ 9, 10, 5 ], [ 9, 11, 16 ], [ 9, 12, 10 ], [ 9, 13, 0 ], [ 9, 14, 15 ], [ 9, 15, 16 ], [ 9, 16, 10 ], [ 9, 17, 0 ], [ 9, 18, 15 ], [ 9, 19, 5 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 5 ], [ 10, 3, 16 ], [ 10, 4, 16 ], [ 10, 5, 0 ], [ 10, 6, 15 ], [ 10, 7, 5 ], [ 10, 8, 5 ], [ 10, 9, 16 ], [ 10, 10, 0 ], [ 10, 11, 15 ], [ 10, 12, 15 ], [ 10, 13, 5 ], [ 10, 14, 16 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 10, 17, 15 ], [ 10, 18, 5 ], [ 10, 19, 16 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 5 ], [ 11, 3, 16 ], [ 11, 4, 0 ], [ 11, 5, 5 ], [ 11, 6, 16 ], [ 11, 7, 10 ], [ 11, 8, 15 ], [ 11, 9, 5 ], [ 11, 10, 10 ], [ 11, 11, 0 ], [ 11, 12, 5 ], [ 11, 13, 16 ], [ 11, 14, 10 ], [ 11, 15, 15 ], [ 11, 16, 16 ], [ 11, 17, 10 ], [ 11, 18, 0 ], [ 11, 19, 15 ], [ 12, 0, 0 ], [ 12, 1, 10 ], [ 12, 2, 16 ], [ 12, 3, 5 ], [ 12, 4, 10 ], [ 12, 5, 5 ], [ 12, 6, 15 ], [ 12, 7, 0 ], [ 12, 8, 5 ], [ 12, 9, 15 ], [ 12, 10, 10 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 10 ], [ 12, 14, 16 ], [ 12, 15, 15 ], [ 12, 16, 16 ], [ 12, 17, 5 ], [ 12, 18, 15 ], [ 12, 19, 0 ], [ 13, 0, 0 ], [ 13, 1, 10 ], [ 13, 2, 16 ], [ 13, 3, 5 ], [ 13, 4, 15 ], [ 13, 5, 10 ], [ 13, 6, 16 ], [ 13, 7, 5 ], [ 13, 8, 15 ], [ 13, 9, 0 ], [ 13, 10, 16 ], [ 13, 11, 5 ], [ 13, 12, 15 ], [ 13, 13, 0 ], [ 13, 14, 10 ], [ 13, 15, 5 ], [ 13, 16, 15 ], [ 13, 17, 0 ], [ 13, 18, 10 ], [ 13, 19, 16 ], [ 14, 0, 0 ], [ 14, 1, 10 ], [ 14, 2, 16 ], [ 14, 3, 5 ], [ 14, 4, 16 ], [ 14, 5, 15 ], [ 14, 6, 0 ], [ 14, 7, 10 ], [ 14, 8, 0 ], [ 14, 9, 10 ], [ 14, 10, 5 ], [ 14, 11, 15 ], [ 14, 12, 5 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 16 ], [ 14, 16, 10 ], [ 14, 17, 16 ], [ 14, 18, 5 ], [ 14, 19, 15 ], [ 15, 0, 0 ], [ 15, 1, 10 ], [ 15, 2, 16 ], [ 15, 3, 5 ], [ 15, 4, 5 ], [ 15, 5, 0 ], [ 15, 6, 10 ], [ 15, 7, 16 ], [ 15, 8, 16 ], [ 15, 9, 5 ], [ 15, 10, 0 ], [ 15, 11, 10 ], [ 15, 12, 10 ], [ 15, 13, 16 ], [ 15, 14, 5 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 15, 17, 10 ], [ 15, 18, 16 ], [ 15, 19, 5 ], [ 16, 0, 0 ], [ 16, 1, 5 ], [ 16, 2, 10 ], [ 16, 3, 15 ], [ 16, 4, 15 ], [ 16, 5, 0 ], [ 16, 6, 5 ], [ 16, 7, 10 ], [ 16, 8, 10 ], [ 16, 9, 15 ], [ 16, 10, 0 ], [ 16, 11, 5 ], [ 16, 12, 5 ], [ 16, 13, 10 ], [ 16, 14, 15 ], [ 16, 15, 0 ], [ 16, 16, 0 ], [ 16, 17, 5 ], [ 16, 18, 10 ], [ 16, 19, 15 ], [ 17, 0, 0 ], [ 17, 1, 5 ], [ 17, 2, 10 ], [ 17, 3, 15 ], [ 17, 4, 16 ], [ 17, 5, 5 ], [ 17, 6, 10 ], [ 17, 7, 15 ], [ 17, 8, 16 ], [ 17, 9, 0 ], [ 17, 10, 10 ], [ 17, 11, 15 ], [ 17, 12, 16 ], [ 17, 13, 0 ], [ 17, 14, 5 ], [ 17, 15, 15 ], [ 17, 16, 16 ], [ 17, 17, 0 ], [ 17, 18, 5 ], [ 17, 19, 10 ], [ 18, 0, 0 ], [ 18, 1, 5 ], [ 18, 2, 10 ], [ 18, 3, 15 ], [ 18, 4, 0 ], [ 18, 5, 10 ], [ 18, 6, 15 ], [ 18, 7, 16 ], [ 18, 8, 5 ], [ 18, 9, 10 ], [ 18, 10, 16 ], [ 18, 11, 0 ], [ 18, 12, 10 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 5 ], [ 18, 16, 15 ], [ 18, 17, 16 ], [ 18, 18, 0 ], [ 18, 19, 5 ], [ 19, 0, 0 ], [ 19, 1, 5 ], [ 19, 2, 10 ], [ 19, 3, 15 ], [ 19, 4, 5 ], [ 19, 5, 15 ], [ 19, 6, 16 ], [ 19, 7, 0 ], [ 19, 8, 15 ], [ 19, 9, 16 ], [ 19, 10, 5 ], [ 19, 11, 10 ], [ 19, 12, 0 ], [ 19, 13, 5 ], [ 19, 14, 10 ], [ 19, 15, 16 ], [ 19, 16, 10 ], [ 19, 17, 15 ], [ 19, 18, 16 ], [ 19, 19, 0 ] ], "generators": [ 0, 5, 10, 15, 16 ], "next": [ 0, 5, 10, 15, 16 ], "words": { "0": [], "5": [ 5 ], "10": [ 10 ], "15": [ 15 ], "16": [ 16 ] } }, { "elements": [ 0, 5, 10, 15, 16 ], "commutators": [ [ 0, 0, 0 ], [ 0, 5, 0 ], [ 0, 10, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 5, 0, 0 ], [ 5, 5, 0 ], [ 5, 10, 0 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 10, 0, 0 ], [ 10, 5, 0 ], [ 10, 10, 0 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 15, 0, 0 ], [ 15, 5, 0 ], [ 15, 10, 0 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 16, 0, 0 ], [ 16, 5, 0 ], [ 16, 10, 0 ], [ 16, 15, 0 ], [ 16, 16, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "A5", "order": 60, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(3 4 5)", "(3 5 4)", "(2 3)(4 5)", "(2 3 4)", "(2 3 5)", "(2 4 3)", "(2 4 5)", "(2 4)(3 5)", "(2 5 3)", "(2 5 4)", "(2 5)(3 4)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5)", "(1 2 5 3 4)", "(1 3 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3)(4 5)", "(1 3 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 4 2 5)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5)", "(1 4)(3 5)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 5 4 3 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 3)", "(1 5 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], [ 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35 ], [ 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44 ], [ 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46 ], [ 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53 ], [ 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20 ], [ 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55 ], [ 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22 ], [ 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29 ], [ 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31 ], [ 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40 ], [ 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16 ], [ 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47 ], [ 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56 ], [ 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32 ], [ 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57 ], [ 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ], [ 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38 ], [ 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33 ], [ 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49 ], [ 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5 ], [ 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42 ], [ 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7 ], [ 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58 ], [ 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23 ], [ 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41 ], [ 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45 ], [ 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50 ], [ 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8 ], [ 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51 ], [ 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9 ], [ 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14 ], [ 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18 ], [ 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36 ], [ 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1 ], [ 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34 ], [ 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52 ], [ 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17 ], [ 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54 ], [ 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10 ], [ 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26 ], [ 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21 ], [ 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2 ], [ 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27 ], [ 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3 ], [ 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43 ], [ 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19 ], [ 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28 ], [ 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30 ], [ 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37 ], [ 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4 ], [ 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39 ], [ 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6 ], [ 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13 ], [ 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15 ], [ 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 6, 9, 4, 10, 8, 5, 7, 11, 12, 13, 14, 24, 48, 36, 26, 37, 50, 25, 49, 38, 15, 21, 18, 27, 39, 51, 30, 54, 45, 33, 42, 57, 17, 19, 23, 28, 52, 41, 34, 43, 58, 32, 56, 47, 16, 22, 20, 29, 40, 53, 31, 55, 46, 35, 44, 59 ], "cycleTypes": [ "1,1,1,1,1", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "1,2,2", "1,2,2", "1,2,2", "1,1,3", "5", "5", "5", "1,1,3", "5", "5", "1,1,3", "5", "1,1,3", "5", "5", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "5", "5", "1,2,2", "5", "5", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,3", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 11 ], [ 1, 4, 11 ], [ 1, 5, 11 ], [ 1, 6, 3 ], [ 1, 7, 3 ], [ 1, 8, 3 ], [ 1, 9, 8 ], [ 1, 10, 8 ], [ 1, 11, 8 ], [ 1, 12, 2 ], [ 1, 13, 2 ], [ 1, 14, 2 ], [ 1, 15, 28 ], [ 1, 16, 28 ], [ 1, 17, 28 ], [ 1, 18, 40 ], [ 1, 19, 40 ], [ 1, 20, 40 ], [ 1, 21, 51 ], [ 1, 22, 51 ], [ 1, 23, 51 ], [ 1, 24, 4 ], [ 1, 25, 4 ], [ 1, 26, 4 ], [ 1, 27, 53 ], [ 1, 28, 53 ], [ 1, 29, 53 ], [ 1, 30, 25 ], [ 1, 31, 25 ], [ 1, 32, 25 ], [ 1, 33, 23 ], [ 1, 34, 23 ], [ 1, 35, 23 ], [ 1, 36, 7 ], [ 1, 37, 7 ], [ 1, 38, 7 ], [ 1, 39, 27 ], [ 1, 40, 27 ], [ 1, 41, 27 ], [ 1, 42, 16 ], [ 1, 43, 16 ], [ 1, 44, 16 ], [ 1, 45, 36 ], [ 1, 46, 36 ], [ 1, 47, 36 ], [ 1, 48, 9 ], [ 1, 49, 9 ], [ 1, 50, 9 ], [ 1, 51, 41 ], [ 1, 52, 41 ], [ 1, 53, 41 ], [ 1, 54, 50 ], [ 1, 55, 50 ], [ 1, 56, 50 ], [ 1, 57, 18 ], [ 1, 58, 18 ], [ 1, 59, 18 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 8 ], [ 2, 4, 8 ], [ 2, 5, 8 ], [ 2, 6, 11 ], [ 2, 7, 11 ], [ 2, 8, 11 ], [ 2, 9, 3 ], [ 2, 10, 3 ], [ 2, 11, 3 ], [ 2, 12, 1 ], [ 2, 13, 1 ], [ 2, 14, 1 ], [ 2, 15, 29 ], [ 2, 16, 29 ], [ 2, 17, 29 ], [ 2, 18, 39 ], [ 2, 19, 39 ], [ 2, 20, 39 ], [ 2, 21, 52 ], [ 2, 22, 52 ], [ 2, 23, 52 ], [ 2, 24, 5 ], [ 2, 25, 5 ], [ 2, 26, 5 ], [ 2, 27, 41 ], [ 2, 28, 41 ], [ 2, 29, 41 ], [ 2, 30, 20 ], [ 2, 31, 20 ], [ 2, 32, 20 ], [ 2, 33, 26 ], [ 2, 34, 26 ], [ 2, 35, 26 ], [ 2, 36, 6 ], [ 2, 37, 6 ], [ 2, 38, 6 ], [ 2, 39, 53 ], [ 2, 40, 53 ], [ 2, 41, 53 ], [ 2, 42, 38 ], [ 2, 43, 38 ], [ 2, 44, 38 ], [ 2, 45, 21 ], [ 2, 46, 21 ], [ 2, 47, 21 ], [ 2, 48, 10 ], [ 2, 49, 10 ], [ 2, 50, 10 ], [ 2, 51, 27 ], [ 2, 52, 27 ], [ 2, 53, 27 ], [ 2, 54, 17 ], [ 2, 55, 17 ], [ 2, 56, 17 ], [ 2, 57, 48 ], [ 2, 58, 48 ], [ 2, 59, 48 ], [ 3, 0, 0 ], [ 3, 1, 11 ], [ 3, 2, 8 ], [ 3, 3, 0 ], [ 3, 4, 8 ], [ 3, 5, 11 ], [ 3, 6, 11 ], [ 3, 7, 8 ], [ 3, 8, 0 ], [ 3, 9, 8 ], [ 3, 10, 11 ], [ 3, 11, 0 ], [ 3, 12, 15 ], [ 3, 13, 56 ], [ 3, 14, 44 ], [ 3, 15, 15 ], [ 3, 16, 44 ], [ 3, 17, 56 ], [ 3, 18, 56 ], [ 3, 19, 44 ], [ 3, 20, 15 ], [ 3, 21, 44 ], [ 3, 22, 56 ], [ 3, 23, 15 ], [ 3, 24, 24 ], [ 3, 25, 58 ], [ 3, 26, 46 ], [ 3, 27, 24 ], [ 3, 28, 46 ], [ 3, 29, 58 ], [ 3, 30, 58 ], [ 3, 31, 46 ], [ 3, 32, 24 ], [ 3, 33, 46 ], [ 3, 34, 58 ], [ 3, 35, 24 ], [ 3, 36, 25 ], [ 3, 37, 18 ], [ 3, 38, 40 ], [ 3, 39, 25 ], [ 3, 40, 40 ], [ 3, 41, 18 ], [ 3, 42, 18 ], [ 3, 43, 40 ], [ 3, 44, 25 ], [ 3, 45, 40 ], [ 3, 46, 18 ], [ 3, 47, 25 ], [ 3, 48, 26 ], [ 3, 49, 21 ], [ 3, 50, 52 ], [ 3, 51, 26 ], [ 3, 52, 52 ], [ 3, 53, 21 ], [ 3, 54, 21 ], [ 3, 55, 52 ], [ 3, 56, 26 ], [ 3, 57, 52 ], [ 3, 58, 21 ], [ 3, 59, 26 ], [ 4, 0, 0 ], [ 4, 1, 11 ], [ 4, 2, 8 ], [ 4, 3, 8 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 0 ], [ 4, 7, 3 ], [ 4, 8, 11 ], [ 4, 9, 11 ], [ 4, 10, 8 ], [ 4, 11, 3 ], [ 4, 12, 54 ], [ 4, 13, 43 ], [ 4, 14, 16 ], [ 4, 15, 43 ], [ 4, 16, 5 ], [ 4, 17, 54 ], [ 4, 18, 16 ], [ 4, 19, 43 ], [ 4, 20, 5 ], [ 4, 21, 54 ], [ 4, 22, 5 ], [ 4, 23, 16 ], [ 4, 24, 13 ], [ 4, 25, 56 ], [ 4, 26, 35 ], [ 4, 27, 35 ], [ 4, 28, 13 ], [ 4, 29, 1 ], [ 4, 30, 13 ], [ 4, 31, 1 ], [ 4, 32, 56 ], [ 4, 33, 56 ], [ 4, 34, 35 ], [ 4, 35, 1 ], [ 4, 36, 50 ], [ 4, 37, 30 ], [ 4, 38, 44 ], [ 4, 39, 30 ], [ 4, 40, 10 ], [ 4, 41, 50 ], [ 4, 42, 44 ], [ 4, 43, 30 ], [ 4, 44, 10 ], [ 4, 45, 50 ], [ 4, 46, 10 ], [ 4, 47, 44 ], [ 4, 48, 37 ], [ 4, 49, 15 ], [ 4, 50, 28 ], [ 4, 51, 28 ], [ 4, 52, 37 ], [ 4, 53, 6 ], [ 4, 54, 37 ], [ 4, 55, 6 ], [ 4, 56, 15 ], [ 4, 57, 15 ], [ 4, 58, 28 ], [ 4, 59, 6 ], [ 5, 0, 0 ], [ 5, 1, 11 ], [ 5, 2, 8 ], [ 5, 3, 11 ], [ 5, 4, 3 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 11 ], [ 5, 8, 3 ], [ 5, 9, 0 ], [ 5, 10, 3 ], [ 5, 11, 8 ], [ 5, 12, 42 ], [ 5, 13, 17 ], [ 5, 14, 55 ], [ 5, 15, 55 ], [ 5, 16, 42 ], [ 5, 17, 4 ], [ 5, 18, 42 ], [ 5, 19, 4 ], [ 5, 20, 17 ], [ 5, 21, 17 ], [ 5, 22, 55 ], [ 5, 23, 4 ], [ 5, 24, 14 ], [ 5, 25, 32 ], [ 5, 26, 44 ], [ 5, 27, 32 ], [ 5, 28, 2 ], [ 5, 29, 14 ], [ 5, 30, 44 ], [ 5, 31, 32 ], [ 5, 32, 2 ], [ 5, 33, 14 ], [ 5, 34, 2 ], [ 5, 35, 44 ], [ 5, 36, 49 ], [ 5, 37, 15 ], [ 5, 38, 29 ], [ 5, 39, 29 ], [ 5, 40, 49 ], [ 5, 41, 9 ], [ 5, 42, 49 ], [ 5, 43, 9 ], [ 5, 44, 15 ], [ 5, 45, 15 ], [ 5, 46, 29 ], [ 5, 47, 9 ], [ 5, 48, 38 ], [ 5, 49, 33 ], [ 5, 50, 56 ], [ 5, 51, 33 ], [ 5, 52, 7 ], [ 5, 53, 38 ], [ 5, 54, 56 ], [ 5, 55, 33 ], [ 5, 56, 7 ], [ 5, 57, 38 ], [ 5, 58, 7 ], [ 5, 59, 56 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 11 ], [ 6, 3, 11 ], [ 6, 4, 0 ], [ 6, 5, 8 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 3 ], [ 6, 9, 3 ], [ 6, 10, 11 ], [ 6, 11, 8 ], [ 6, 12, 20 ], [ 6, 13, 30 ], [ 6, 14, 58 ], [ 6, 15, 30 ], [ 6, 16, 7 ], [ 6, 17, 20 ], [ 6, 18, 58 ], [ 6, 19, 30 ], [ 6, 20, 7 ], [ 6, 21, 20 ], [ 6, 22, 7 ], [ 6, 23, 58 ], [ 6, 24, 43 ], [ 6, 25, 31 ], [ 6, 26, 48 ], [ 6, 27, 48 ], [ 6, 28, 43 ], [ 6, 29, 9 ], [ 6, 30, 43 ], [ 6, 31, 9 ], [ 6, 32, 31 ], [ 6, 33, 31 ], [ 6, 34, 48 ], [ 6, 35, 9 ], [ 6, 36, 46 ], [ 6, 37, 13 ], [ 6, 38, 57 ], [ 6, 39, 13 ], [ 6, 40, 2 ], [ 6, 41, 46 ], [ 6, 42, 57 ], [ 6, 43, 13 ], [ 6, 44, 2 ], [ 6, 45, 46 ], [ 6, 46, 2 ], [ 6, 47, 57 ], [ 6, 48, 39 ], [ 6, 49, 19 ], [ 6, 50, 24 ], [ 6, 51, 24 ], [ 6, 52, 39 ], [ 6, 53, 4 ], [ 6, 54, 39 ], [ 6, 55, 4 ], [ 6, 56, 19 ], [ 6, 57, 19 ], [ 6, 58, 24 ], [ 6, 59, 4 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 11 ], [ 7, 3, 8 ], [ 7, 4, 3 ], [ 7, 5, 11 ], [ 7, 6, 8 ], [ 7, 7, 0 ], [ 7, 8, 11 ], [ 7, 9, 8 ], [ 7, 10, 0 ], [ 7, 11, 3 ], [ 7, 12, 59 ], [ 7, 13, 18 ], [ 7, 14, 32 ], [ 7, 15, 6 ], [ 7, 16, 18 ], [ 7, 17, 32 ], [ 7, 18, 6 ], [ 7, 19, 59 ], [ 7, 20, 32 ], [ 7, 21, 6 ], [ 7, 22, 59 ], [ 7, 23, 18 ], [ 7, 24, 19 ], [ 7, 25, 40 ], [ 7, 26, 49 ], [ 7, 27, 10 ], [ 7, 28, 40 ], [ 7, 29, 49 ], [ 7, 30, 10 ], [ 7, 31, 19 ], [ 7, 32, 49 ], [ 7, 33, 10 ], [ 7, 34, 19 ], [ 7, 35, 40 ], [ 7, 36, 31 ], [ 7, 37, 12 ], [ 7, 38, 42 ], [ 7, 39, 1 ], [ 7, 40, 12 ], [ 7, 41, 42 ], [ 7, 42, 1 ], [ 7, 43, 31 ], [ 7, 44, 42 ], [ 7, 45, 1 ], [ 7, 46, 31 ], [ 7, 47, 12 ], [ 7, 48, 57 ], [ 7, 49, 47 ], [ 7, 50, 25 ], [ 7, 51, 5 ], [ 7, 52, 47 ], [ 7, 53, 25 ], [ 7, 54, 5 ], [ 7, 55, 57 ], [ 7, 56, 25 ], [ 7, 57, 5 ], [ 7, 58, 57 ], [ 7, 59, 47 ], [ 8, 0, 0 ], [ 8, 1, 3 ], [ 8, 2, 11 ], [ 8, 3, 0 ], [ 8, 4, 11 ], [ 8, 5, 3 ], [ 8, 6, 3 ], [ 8, 7, 11 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 3 ], [ 8, 11, 0 ], [ 8, 12, 31 ], [ 8, 13, 57 ], [ 8, 14, 19 ], [ 8, 15, 31 ], [ 8, 16, 19 ], [ 8, 17, 57 ], [ 8, 18, 57 ], [ 8, 19, 19 ], [ 8, 20, 31 ], [ 8, 21, 19 ], [ 8, 22, 57 ], [ 8, 23, 31 ], [ 8, 24, 17 ], [ 8, 25, 29 ], [ 8, 26, 38 ], [ 8, 27, 17 ], [ 8, 28, 38 ], [ 8, 29, 29 ], [ 8, 30, 29 ], [ 8, 31, 38 ], [ 8, 32, 17 ], [ 8, 33, 38 ], [ 8, 34, 29 ], [ 8, 35, 17 ], [ 8, 36, 35 ], [ 8, 37, 37 ], [ 8, 38, 54 ], [ 8, 39, 35 ], [ 8, 40, 54 ], [ 8, 41, 37 ], [ 8, 42, 37 ], [ 8, 43, 54 ], [ 8, 44, 35 ], [ 8, 45, 54 ], [ 8, 46, 37 ], [ 8, 47, 35 ], [ 8, 48, 51 ], [ 8, 49, 23 ], [ 8, 50, 36 ], [ 8, 51, 51 ], [ 8, 52, 36 ], [ 8, 53, 23 ], [ 8, 54, 23 ], [ 8, 55, 36 ], [ 8, 56, 51 ], [ 8, 57, 36 ], [ 8, 58, 23 ], [ 8, 59, 51 ], [ 9, 0, 0 ], [ 9, 1, 8 ], [ 9, 2, 3 ], [ 9, 3, 8 ], [ 9, 4, 11 ], [ 9, 5, 0 ], [ 9, 6, 3 ], [ 9, 7, 8 ], [ 9, 8, 11 ], [ 9, 9, 0 ], [ 9, 10, 11 ], [ 9, 11, 3 ], [ 9, 12, 23 ], [ 9, 13, 46 ], [ 9, 14, 33 ], [ 9, 15, 33 ], [ 9, 16, 23 ], [ 9, 17, 10 ], [ 9, 18, 23 ], [ 9, 19, 10 ], [ 9, 20, 46 ], [ 9, 21, 46 ], [ 9, 22, 33 ], [ 9, 23, 10 ], [ 9, 24, 55 ], [ 9, 25, 36 ], [ 9, 26, 34 ], [ 9, 27, 36 ], [ 9, 28, 6 ], [ 9, 29, 55 ], [ 9, 30, 34 ], [ 9, 31, 36 ], [ 9, 32, 6 ], [ 9, 33, 55 ], [ 9, 34, 6 ], [ 9, 35, 34 ], [ 9, 36, 51 ], [ 9, 37, 22 ], [ 9, 38, 24 ], [ 9, 39, 24 ], [ 9, 40, 51 ], [ 9, 41, 5 ], [ 9, 42, 51 ], [ 9, 43, 5 ], [ 9, 44, 22 ], [ 9, 45, 22 ], [ 9, 46, 24 ], [ 9, 47, 5 ], [ 9, 48, 58 ], [ 9, 49, 14 ], [ 9, 50, 45 ], [ 9, 51, 14 ], [ 9, 52, 1 ], [ 9, 53, 58 ], [ 9, 54, 45 ], [ 9, 55, 14 ], [ 9, 56, 1 ], [ 9, 57, 58 ], [ 9, 58, 1 ], [ 9, 59, 45 ], [ 10, 0, 0 ], [ 10, 1, 8 ], [ 10, 2, 3 ], [ 10, 3, 11 ], [ 10, 4, 8 ], [ 10, 5, 3 ], [ 10, 6, 11 ], [ 10, 7, 0 ], [ 10, 8, 3 ], [ 10, 9, 11 ], [ 10, 10, 0 ], [ 10, 11, 8 ], [ 10, 12, 47 ], [ 10, 13, 35 ], [ 10, 14, 21 ], [ 10, 15, 9 ], [ 10, 16, 35 ], [ 10, 17, 21 ], [ 10, 18, 9 ], [ 10, 19, 47 ], [ 10, 20, 21 ], [ 10, 21, 9 ], [ 10, 22, 47 ], [ 10, 23, 35 ], [ 10, 24, 22 ], [ 10, 25, 37 ], [ 10, 26, 52 ], [ 10, 27, 7 ], [ 10, 28, 37 ], [ 10, 29, 52 ], [ 10, 30, 7 ], [ 10, 31, 22 ], [ 10, 32, 52 ], [ 10, 33, 7 ], [ 10, 34, 22 ], [ 10, 35, 37 ], [ 10, 36, 45 ], [ 10, 37, 59 ], [ 10, 38, 26 ], [ 10, 39, 4 ], [ 10, 40, 59 ], [ 10, 41, 26 ], [ 10, 42, 4 ], [ 10, 43, 45 ], [ 10, 44, 26 ], [ 10, 45, 4 ], [ 10, 46, 45 ], [ 10, 47, 59 ], [ 10, 48, 34 ], [ 10, 49, 12 ], [ 10, 50, 54 ], [ 10, 51, 2 ], [ 10, 52, 12 ], [ 10, 53, 54 ], [ 10, 54, 2 ], [ 10, 55, 34 ], [ 10, 56, 54 ], [ 10, 57, 2 ], [ 10, 58, 34 ], [ 10, 59, 12 ], [ 11, 0, 0 ], [ 11, 1, 8 ], [ 11, 2, 3 ], [ 11, 3, 0 ], [ 11, 4, 3 ], [ 11, 5, 8 ], [ 11, 6, 8 ], [ 11, 7, 3 ], [ 11, 8, 0 ], [ 11, 9, 3 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 34 ], [ 11, 13, 22 ], [ 11, 14, 45 ], [ 11, 15, 34 ], [ 11, 16, 45 ], [ 11, 17, 22 ], [ 11, 18, 22 ], [ 11, 19, 45 ], [ 11, 20, 34 ], [ 11, 21, 45 ], [ 11, 22, 22 ], [ 11, 23, 34 ], [ 11, 24, 16 ], [ 11, 25, 50 ], [ 11, 26, 28 ], [ 11, 27, 16 ], [ 11, 28, 28 ], [ 11, 29, 50 ], [ 11, 30, 50 ], [ 11, 31, 28 ], [ 11, 32, 16 ], [ 11, 33, 28 ], [ 11, 34, 50 ], [ 11, 35, 16 ], [ 11, 36, 39 ], [ 11, 37, 20 ], [ 11, 38, 48 ], [ 11, 39, 39 ], [ 11, 40, 48 ], [ 11, 41, 20 ], [ 11, 42, 20 ], [ 11, 43, 48 ], [ 11, 44, 39 ], [ 11, 45, 48 ], [ 11, 46, 20 ], [ 11, 47, 39 ], [ 11, 48, 32 ], [ 11, 49, 49 ], [ 11, 50, 42 ], [ 11, 51, 32 ], [ 11, 52, 42 ], [ 11, 53, 49 ], [ 11, 54, 49 ], [ 11, 55, 42 ], [ 11, 56, 32 ], [ 11, 57, 42 ], [ 11, 58, 49 ], [ 11, 59, 32 ], [ 12, 0, 0 ], [ 12, 1, 1 ], [ 12, 2, 2 ], [ 12, 3, 24 ], [ 12, 4, 31 ], [ 12, 5, 34 ], [ 12, 6, 50 ], [ 12, 7, 59 ], [ 12, 8, 54 ], [ 12, 9, 38 ], [ 12, 10, 47 ], [ 12, 11, 42 ], [ 12, 12, 0 ], [ 12, 13, 1 ], [ 12, 14, 2 ], [ 12, 15, 15 ], [ 12, 16, 42 ], [ 12, 17, 54 ], [ 12, 18, 23 ], [ 12, 19, 47 ], [ 12, 20, 34 ], [ 12, 21, 20 ], [ 12, 22, 59 ], [ 12, 23, 31 ], [ 12, 24, 24 ], [ 12, 25, 31 ], [ 12, 26, 34 ], [ 12, 27, 15 ], [ 12, 28, 42 ], [ 12, 29, 54 ], [ 12, 30, 20 ], [ 12, 31, 38 ], [ 12, 32, 2 ], [ 12, 33, 23 ], [ 12, 34, 50 ], [ 12, 35, 1 ], [ 12, 36, 50 ], [ 12, 37, 59 ], [ 12, 38, 54 ], [ 12, 39, 23 ], [ 12, 40, 47 ], [ 12, 41, 34 ], [ 12, 42, 20 ], [ 12, 43, 38 ], [ 12, 44, 2 ], [ 12, 45, 15 ], [ 12, 46, 24 ], [ 12, 47, 0 ], [ 12, 48, 38 ], [ 12, 49, 47 ], [ 12, 50, 42 ], [ 12, 51, 20 ], [ 12, 52, 59 ], [ 12, 53, 31 ], [ 12, 54, 23 ], [ 12, 55, 50 ], [ 12, 56, 1 ], [ 12, 57, 15 ], [ 12, 58, 24 ], [ 12, 59, 0 ], [ 13, 0, 0 ], [ 13, 1, 1 ], [ 13, 2, 2 ], [ 13, 3, 46 ], [ 13, 4, 43 ], [ 13, 5, 36 ], [ 13, 6, 30 ], [ 13, 7, 26 ], [ 13, 8, 35 ], [ 13, 9, 56 ], [ 13, 10, 57 ], [ 13, 11, 49 ], [ 13, 12, 2 ], [ 13, 13, 0 ], [ 13, 14, 1 ], [ 13, 15, 30 ], [ 13, 16, 18 ], [ 13, 17, 57 ], [ 13, 18, 56 ], [ 13, 19, 43 ], [ 13, 20, 17 ], [ 13, 21, 46 ], [ 13, 22, 22 ], [ 13, 23, 35 ], [ 13, 24, 43 ], [ 13, 25, 36 ], [ 13, 26, 46 ], [ 13, 27, 57 ], [ 13, 28, 30 ], [ 13, 29, 18 ], [ 13, 30, 0 ], [ 13, 31, 22 ], [ 13, 32, 49 ], [ 13, 33, 26 ], [ 13, 34, 2 ], [ 13, 35, 17 ], [ 13, 36, 35 ], [ 13, 37, 30 ], [ 13, 38, 26 ], [ 13, 39, 43 ], [ 13, 40, 17 ], [ 13, 41, 56 ], [ 13, 42, 49 ], [ 13, 43, 0 ], [ 13, 44, 22 ], [ 13, 45, 1 ], [ 13, 46, 18 ], [ 13, 47, 36 ], [ 13, 48, 57 ], [ 13, 49, 49 ], [ 13, 50, 56 ], [ 13, 51, 35 ], [ 13, 52, 46 ], [ 13, 53, 22 ], [ 13, 54, 2 ], [ 13, 55, 17 ], [ 13, 56, 26 ], [ 13, 57, 36 ], [ 13, 58, 1 ], [ 13, 59, 18 ], [ 14, 0, 0 ], [ 14, 1, 1 ], [ 14, 2, 2 ], [ 14, 3, 58 ], [ 14, 4, 48 ], [ 14, 5, 55 ], [ 14, 6, 44 ], [ 14, 7, 45 ], [ 14, 8, 37 ], [ 14, 9, 33 ], [ 14, 10, 25 ], [ 14, 11, 32 ], [ 14, 12, 1 ], [ 14, 13, 2 ], [ 14, 14, 0 ], [ 14, 15, 33 ], [ 14, 16, 45 ], [ 14, 17, 21 ], [ 14, 18, 58 ], [ 14, 19, 19 ], [ 14, 20, 32 ], [ 14, 21, 44 ], [ 14, 22, 55 ], [ 14, 23, 16 ], [ 14, 24, 55 ], [ 14, 25, 58 ], [ 14, 26, 48 ], [ 14, 27, 45 ], [ 14, 28, 21 ], [ 14, 29, 33 ], [ 14, 30, 25 ], [ 14, 31, 1 ], [ 14, 32, 16 ], [ 14, 33, 0 ], [ 14, 34, 19 ], [ 14, 35, 37 ], [ 14, 36, 45 ], [ 14, 37, 37 ], [ 14, 38, 44 ], [ 14, 39, 32 ], [ 14, 40, 58 ], [ 14, 41, 19 ], [ 14, 42, 1 ], [ 14, 43, 16 ], [ 14, 44, 25 ], [ 14, 45, 48 ], [ 14, 46, 2 ], [ 14, 47, 21 ], [ 14, 48, 32 ], [ 14, 49, 33 ], [ 14, 50, 25 ], [ 14, 51, 55 ], [ 14, 52, 16 ], [ 14, 53, 44 ], [ 14, 54, 37 ], [ 14, 55, 0 ], [ 14, 56, 19 ], [ 14, 57, 2 ], [ 14, 58, 21 ], [ 14, 59, 48 ], [ 15, 0, 0 ], [ 15, 1, 39 ], [ 15, 2, 51 ], [ 15, 3, 24 ], [ 15, 4, 43 ], [ 15, 5, 55 ], [ 15, 6, 30 ], [ 15, 7, 4 ], [ 15, 8, 54 ], [ 15, 9, 33 ], [ 15, 10, 5 ], [ 15, 11, 42 ], [ 15, 12, 24 ], [ 15, 13, 30 ], [ 15, 14, 33 ], [ 15, 15, 0 ], [ 15, 16, 19 ], [ 15, 17, 22 ], [ 15, 18, 39 ], [ 15, 19, 13 ], [ 15, 20, 21 ], [ 15, 21, 51 ], [ 15, 22, 14 ], [ 15, 23, 18 ], [ 15, 24, 0 ], [ 15, 25, 4 ], [ 15, 26, 5 ], [ 15, 27, 24 ], [ 15, 28, 13 ], [ 15, 29, 14 ], [ 15, 30, 43 ], [ 15, 31, 19 ], [ 15, 32, 17 ], [ 15, 33, 55 ], [ 15, 34, 22 ], [ 15, 35, 16 ], [ 15, 36, 39 ], [ 15, 37, 43 ], [ 15, 38, 42 ], [ 15, 39, 30 ], [ 15, 40, 19 ], [ 15, 41, 18 ], [ 15, 42, 4 ], [ 15, 43, 13 ], [ 15, 44, 16 ], [ 15, 45, 54 ], [ 15, 46, 21 ], [ 15, 47, 17 ], [ 15, 48, 51 ], [ 15, 49, 55 ], [ 15, 50, 54 ], [ 15, 51, 33 ], [ 15, 52, 22 ], [ 15, 53, 21 ], [ 15, 54, 5 ], [ 15, 55, 14 ], [ 15, 56, 17 ], [ 15, 57, 42 ], [ 15, 58, 18 ], [ 15, 59, 16 ], [ 16, 0, 0 ], [ 16, 1, 39 ], [ 16, 2, 51 ], [ 16, 3, 58 ], [ 16, 4, 9 ], [ 16, 5, 34 ], [ 16, 6, 10 ], [ 16, 7, 26 ], [ 16, 8, 37 ], [ 16, 9, 38 ], [ 16, 10, 57 ], [ 16, 11, 32 ], [ 16, 12, 34 ], [ 16, 13, 26 ], [ 16, 14, 32 ], [ 16, 15, 37 ], [ 16, 16, 0 ], [ 16, 17, 10 ], [ 16, 18, 57 ], [ 16, 19, 38 ], [ 16, 20, 39 ], [ 16, 21, 9 ], [ 16, 22, 51 ], [ 16, 23, 58 ], [ 16, 24, 39 ], [ 16, 25, 37 ], [ 16, 26, 38 ], [ 16, 27, 32 ], [ 16, 28, 57 ], [ 16, 29, 58 ], [ 16, 30, 51 ], [ 16, 31, 9 ], [ 16, 32, 0 ], [ 16, 33, 10 ], [ 16, 34, 26 ], [ 16, 35, 34 ], [ 16, 36, 51 ], [ 16, 37, 58 ], [ 16, 38, 57 ], [ 16, 39, 34 ], [ 16, 40, 10 ], [ 16, 41, 9 ], [ 16, 42, 38 ], [ 16, 43, 32 ], [ 16, 44, 26 ], [ 16, 45, 0 ], [ 16, 46, 37 ], [ 16, 47, 39 ], [ 16, 48, 0 ], [ 16, 49, 9 ], [ 16, 50, 10 ], [ 16, 51, 26 ], [ 16, 52, 37 ], [ 16, 53, 38 ], [ 16, 54, 39 ], [ 16, 55, 57 ], [ 16, 56, 51 ], [ 16, 57, 58 ], [ 16, 58, 34 ], [ 16, 59, 32 ], [ 17, 0, 0 ], [ 17, 1, 39 ], [ 17, 2, 51 ], [ 17, 3, 46 ], [ 17, 4, 31 ], [ 17, 5, 6 ], [ 17, 6, 50 ], [ 17, 7, 45 ], [ 17, 8, 35 ], [ 17, 9, 7 ], [ 17, 10, 25 ], [ 17, 11, 49 ], [ 17, 12, 31 ], [ 17, 13, 35 ], [ 17, 14, 25 ], [ 17, 15, 49 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 6 ], [ 17, 19, 39 ], [ 17, 20, 46 ], [ 17, 21, 45 ], [ 17, 22, 50 ], [ 17, 23, 51 ], [ 17, 24, 51 ], [ 17, 25, 50 ], [ 17, 26, 49 ], [ 17, 27, 35 ], [ 17, 28, 46 ], [ 17, 29, 45 ], [ 17, 30, 7 ], [ 17, 31, 25 ], [ 17, 32, 31 ], [ 17, 33, 39 ], [ 17, 34, 6 ], [ 17, 35, 0 ], [ 17, 36, 0 ], [ 17, 37, 6 ], [ 17, 38, 7 ], [ 17, 39, 25 ], [ 17, 40, 49 ], [ 17, 41, 50 ], [ 17, 42, 51 ], [ 17, 43, 45 ], [ 17, 44, 39 ], [ 17, 45, 46 ], [ 17, 46, 31 ], [ 17, 47, 35 ], [ 17, 48, 39 ], [ 17, 49, 46 ], [ 17, 50, 45 ], [ 17, 51, 31 ], [ 17, 52, 7 ], [ 17, 53, 6 ], [ 17, 54, 50 ], [ 17, 55, 35 ], [ 17, 56, 25 ], [ 17, 57, 0 ], [ 17, 58, 49 ], [ 17, 59, 51 ], [ 18, 0, 0 ], [ 18, 1, 52 ], [ 18, 2, 28 ], [ 18, 3, 46 ], [ 18, 4, 48 ], [ 18, 5, 34 ], [ 18, 6, 44 ], [ 18, 7, 4 ], [ 18, 8, 35 ], [ 18, 9, 38 ], [ 18, 10, 5 ], [ 18, 11, 49 ], [ 18, 12, 38 ], [ 18, 13, 46 ], [ 18, 14, 44 ], [ 18, 15, 28 ], [ 18, 16, 35 ], [ 18, 17, 4 ], [ 18, 18, 0 ], [ 18, 19, 49 ], [ 18, 20, 5 ], [ 18, 21, 52 ], [ 18, 22, 48 ], [ 18, 23, 34 ], [ 18, 24, 4 ], [ 18, 25, 5 ], [ 18, 26, 0 ], [ 18, 27, 48 ], [ 18, 28, 38 ], [ 18, 29, 49 ], [ 18, 30, 34 ], [ 18, 31, 28 ], [ 18, 32, 52 ], [ 18, 33, 46 ], [ 18, 34, 35 ], [ 18, 35, 44 ], [ 18, 36, 49 ], [ 18, 37, 52 ], [ 18, 38, 48 ], [ 18, 39, 35 ], [ 18, 40, 34 ], [ 18, 41, 46 ], [ 18, 42, 44 ], [ 18, 43, 5 ], [ 18, 44, 38 ], [ 18, 45, 4 ], [ 18, 46, 0 ], [ 18, 47, 28 ], [ 18, 48, 34 ], [ 18, 49, 35 ], [ 18, 50, 28 ], [ 18, 51, 5 ], [ 18, 52, 44 ], [ 18, 53, 4 ], [ 18, 54, 49 ], [ 18, 55, 52 ], [ 18, 56, 0 ], [ 18, 57, 38 ], [ 18, 58, 48 ], [ 18, 59, 46 ], [ 19, 0, 0 ], [ 19, 1, 52 ], [ 19, 2, 28 ], [ 19, 3, 58 ], [ 19, 4, 43 ], [ 19, 5, 6 ], [ 19, 6, 30 ], [ 19, 7, 59 ], [ 19, 8, 37 ], [ 19, 9, 7 ], [ 19, 10, 47 ], [ 19, 11, 32 ], [ 19, 12, 47 ], [ 19, 13, 43 ], [ 19, 14, 37 ], [ 19, 15, 13 ], [ 19, 16, 23 ], [ 19, 17, 28 ], [ 19, 18, 22 ], [ 19, 19, 0 ], [ 19, 20, 15 ], [ 19, 21, 17 ], [ 19, 22, 12 ], [ 19, 23, 52 ], [ 19, 24, 30 ], [ 19, 25, 32 ], [ 19, 26, 28 ], [ 19, 27, 17 ], [ 19, 28, 43 ], [ 19, 29, 15 ], [ 19, 30, 13 ], [ 19, 31, 20 ], [ 19, 32, 6 ], [ 19, 33, 18 ], [ 19, 34, 58 ], [ 19, 35, 23 ], [ 19, 36, 7 ], [ 19, 37, 0 ], [ 19, 38, 6 ], [ 19, 39, 13 ], [ 19, 40, 12 ], [ 19, 41, 37 ], [ 19, 42, 18 ], [ 19, 43, 30 ], [ 19, 44, 15 ], [ 19, 45, 22 ], [ 19, 46, 20 ], [ 19, 47, 59 ], [ 19, 48, 58 ], [ 19, 49, 59 ], [ 19, 50, 52 ], [ 19, 51, 22 ], [ 19, 52, 47 ], [ 19, 53, 23 ], [ 19, 54, 17 ], [ 19, 55, 20 ], [ 19, 56, 32 ], [ 19, 57, 18 ], [ 19, 58, 7 ], [ 19, 59, 12 ], [ 20, 0, 0 ], [ 20, 1, 52 ], [ 20, 2, 28 ], [ 20, 3, 24 ], [ 20, 4, 9 ], [ 20, 5, 36 ], [ 20, 6, 10 ], [ 20, 7, 45 ], [ 20, 8, 54 ], [ 20, 9, 56 ], [ 20, 10, 25 ], [ 20, 11, 42 ], [ 20, 12, 42 ], [ 20, 13, 36 ], [ 20, 14, 45 ], [ 20, 15, 25 ], [ 20, 16, 28 ], [ 20, 17, 56 ], [ 20, 18, 9 ], [ 20, 19, 24 ], [ 20, 20, 0 ], [ 20, 21, 54 ], [ 20, 22, 52 ], [ 20, 23, 10 ], [ 20, 24, 54 ], [ 20, 25, 56 ], [ 20, 26, 52 ], [ 20, 27, 10 ], [ 20, 28, 45 ], [ 20, 29, 9 ], [ 20, 30, 42 ], [ 20, 31, 36 ], [ 20, 32, 25 ], [ 20, 33, 28 ], [ 20, 34, 0 ], [ 20, 35, 24 ], [ 20, 36, 25 ], [ 20, 37, 28 ], [ 20, 38, 24 ], [ 20, 39, 56 ], [ 20, 40, 54 ], [ 20, 41, 42 ], [ 20, 42, 0 ], [ 20, 43, 52 ], [ 20, 44, 10 ], [ 20, 45, 36 ], [ 20, 46, 45 ], [ 20, 47, 9 ], [ 20, 48, 9 ], [ 20, 49, 10 ], [ 20, 50, 0 ], [ 20, 51, 24 ], [ 20, 52, 36 ], [ 20, 53, 25 ], [ 20, 54, 45 ], [ 20, 55, 42 ], [ 20, 56, 54 ], [ 20, 57, 52 ], [ 20, 58, 28 ], [ 20, 59, 56 ], [ 21, 0, 0 ], [ 21, 1, 29 ], [ 21, 2, 40 ], [ 21, 3, 58 ], [ 21, 4, 31 ], [ 21, 5, 36 ], [ 21, 6, 50 ], [ 21, 7, 4 ], [ 21, 8, 37 ], [ 21, 9, 56 ], [ 21, 10, 5 ], [ 21, 11, 32 ], [ 21, 12, 50 ], [ 21, 13, 56 ], [ 21, 14, 58 ], [ 21, 15, 29 ], [ 21, 16, 5 ], [ 21, 17, 32 ], [ 21, 18, 40 ], [ 21, 19, 36 ], [ 21, 20, 31 ], [ 21, 21, 0 ], [ 21, 22, 37 ], [ 21, 23, 4 ], [ 21, 24, 5 ], [ 21, 25, 0 ], [ 21, 26, 4 ], [ 21, 27, 36 ], [ 21, 28, 37 ], [ 21, 29, 50 ], [ 21, 30, 58 ], [ 21, 31, 32 ], [ 21, 32, 56 ], [ 21, 33, 31 ], [ 21, 34, 29 ], [ 21, 35, 40 ], [ 21, 36, 31 ], [ 21, 37, 32 ], [ 21, 38, 29 ], [ 21, 39, 4 ], [ 21, 40, 56 ], [ 21, 41, 5 ], [ 21, 42, 37 ], [ 21, 43, 40 ], [ 21, 44, 0 ], [ 21, 45, 50 ], [ 21, 46, 36 ], [ 21, 47, 58 ], [ 21, 48, 37 ], [ 21, 49, 40 ], [ 21, 50, 36 ], [ 21, 51, 32 ], [ 21, 52, 31 ], [ 21, 53, 58 ], [ 21, 54, 56 ], [ 21, 55, 4 ], [ 21, 56, 50 ], [ 21, 57, 5 ], [ 21, 58, 0 ], [ 21, 59, 29 ], [ 22, 0, 0 ], [ 22, 1, 29 ], [ 22, 2, 40 ], [ 22, 3, 46 ], [ 22, 4, 9 ], [ 22, 5, 55 ], [ 22, 6, 10 ], [ 22, 7, 59 ], [ 22, 8, 35 ], [ 22, 9, 33 ], [ 22, 10, 47 ], [ 22, 11, 49 ], [ 22, 12, 59 ], [ 22, 13, 49 ], [ 22, 14, 55 ], [ 22, 15, 14 ], [ 22, 16, 29 ], [ 22, 17, 20 ], [ 22, 18, 16 ], [ 22, 19, 12 ], [ 22, 20, 40 ], [ 22, 21, 19 ], [ 22, 22, 0 ], [ 22, 23, 15 ], [ 22, 24, 33 ], [ 22, 25, 29 ], [ 22, 26, 35 ], [ 22, 27, 16 ], [ 22, 28, 15 ], [ 22, 29, 55 ], [ 22, 30, 21 ], [ 22, 31, 46 ], [ 22, 32, 20 ], [ 22, 33, 14 ], [ 22, 34, 23 ], [ 22, 35, 9 ], [ 22, 36, 46 ], [ 22, 37, 47 ], [ 22, 38, 40 ], [ 22, 39, 19 ], [ 22, 40, 59 ], [ 22, 41, 20 ], [ 22, 42, 16 ], [ 22, 43, 23 ], [ 22, 44, 35 ], [ 22, 45, 21 ], [ 22, 46, 10 ], [ 22, 47, 12 ], [ 22, 48, 10 ], [ 22, 49, 0 ], [ 22, 50, 9 ], [ 22, 51, 14 ], [ 22, 52, 12 ], [ 22, 53, 49 ], [ 22, 54, 21 ], [ 22, 55, 33 ], [ 22, 56, 15 ], [ 22, 57, 19 ], [ 22, 58, 23 ], [ 22, 59, 47 ], [ 23, 0, 0 ], [ 23, 1, 29 ], [ 23, 2, 40 ], [ 23, 3, 24 ], [ 23, 4, 48 ], [ 23, 5, 6 ], [ 23, 6, 44 ], [ 23, 7, 26 ], [ 23, 8, 54 ], [ 23, 9, 7 ], [ 23, 10, 57 ], [ 23, 11, 42 ], [ 23, 12, 54 ], [ 23, 13, 57 ], [ 23, 14, 48 ], [ 23, 15, 26 ], [ 23, 16, 44 ], [ 23, 17, 29 ], [ 23, 18, 42 ], [ 23, 19, 40 ], [ 23, 20, 7 ], [ 23, 21, 6 ], [ 23, 22, 24 ], [ 23, 23, 0 ], [ 23, 24, 42 ], [ 23, 25, 40 ], [ 23, 26, 44 ], [ 23, 27, 7 ], [ 23, 28, 6 ], [ 23, 29, 57 ], [ 23, 30, 29 ], [ 23, 31, 0 ], [ 23, 32, 24 ], [ 23, 33, 54 ], [ 23, 34, 48 ], [ 23, 35, 26 ], [ 23, 36, 6 ], [ 23, 37, 7 ], [ 23, 38, 0 ], [ 23, 39, 24 ], [ 23, 40, 48 ], [ 23, 41, 26 ], [ 23, 42, 57 ], [ 23, 43, 54 ], [ 23, 44, 42 ], [ 23, 45, 40 ], [ 23, 46, 29 ], [ 23, 47, 44 ], [ 23, 48, 26 ], [ 23, 49, 29 ], [ 23, 50, 24 ], [ 23, 51, 44 ], [ 23, 52, 42 ], [ 23, 53, 54 ], [ 23, 54, 0 ], [ 23, 55, 40 ], [ 23, 56, 7 ], [ 23, 57, 48 ], [ 23, 58, 57 ], [ 23, 59, 6 ], [ 24, 0, 0 ], [ 24, 1, 6 ], [ 24, 2, 9 ], [ 24, 3, 15 ], [ 24, 4, 13 ], [ 24, 5, 14 ], [ 24, 6, 43 ], [ 24, 7, 37 ], [ 24, 8, 36 ], [ 24, 9, 55 ], [ 24, 10, 49 ], [ 24, 11, 48 ], [ 24, 12, 15 ], [ 24, 13, 43 ], [ 24, 14, 55 ], [ 24, 15, 0 ], [ 24, 16, 28 ], [ 24, 17, 29 ], [ 24, 18, 6 ], [ 24, 19, 30 ], [ 24, 20, 31 ], [ 24, 21, 9 ], [ 24, 22, 33 ], [ 24, 23, 34 ], [ 24, 24, 0 ], [ 24, 25, 37 ], [ 24, 26, 49 ], [ 24, 27, 15 ], [ 24, 28, 30 ], [ 24, 29, 33 ], [ 24, 30, 13 ], [ 24, 31, 28 ], [ 24, 32, 25 ], [ 24, 33, 14 ], [ 24, 34, 29 ], [ 24, 35, 26 ], [ 24, 36, 6 ], [ 24, 37, 13 ], [ 24, 38, 48 ], [ 24, 39, 43 ], [ 24, 40, 28 ], [ 24, 41, 34 ], [ 24, 42, 37 ], [ 24, 43, 30 ], [ 24, 44, 26 ], [ 24, 45, 36 ], [ 24, 46, 31 ], [ 24, 47, 25 ], [ 24, 48, 9 ], [ 24, 49, 14 ], [ 24, 50, 36 ], [ 24, 51, 55 ], [ 24, 52, 29 ], [ 24, 53, 31 ], [ 24, 54, 49 ], [ 24, 55, 33 ], [ 24, 56, 25 ], [ 24, 57, 48 ], [ 24, 58, 34 ], [ 24, 59, 26 ], [ 25, 0, 0 ], [ 25, 1, 6 ], [ 25, 2, 9 ], [ 25, 3, 44 ], [ 25, 4, 46 ], [ 25, 5, 45 ], [ 25, 6, 54 ], [ 25, 7, 52 ], [ 25, 8, 51 ], [ 25, 9, 17 ], [ 25, 10, 19 ], [ 25, 11, 20 ], [ 25, 12, 54 ], [ 25, 13, 17 ], [ 25, 14, 44 ], [ 25, 15, 6 ], [ 25, 16, 19 ], [ 25, 17, 20 ], [ 25, 18, 9 ], [ 25, 19, 45 ], [ 25, 20, 46 ], [ 25, 21, 0 ], [ 25, 22, 51 ], [ 25, 23, 52 ], [ 25, 24, 19 ], [ 25, 25, 0 ], [ 25, 26, 52 ], [ 25, 27, 45 ], [ 25, 28, 51 ], [ 25, 29, 54 ], [ 25, 30, 44 ], [ 25, 31, 20 ], [ 25, 32, 17 ], [ 25, 33, 46 ], [ 25, 34, 6 ], [ 25, 35, 9 ], [ 25, 36, 46 ], [ 25, 37, 20 ], [ 25, 38, 6 ], [ 25, 39, 52 ], [ 25, 40, 17 ], [ 25, 41, 19 ], [ 25, 42, 51 ], [ 25, 43, 9 ], [ 25, 44, 0 ], [ 25, 45, 54 ], [ 25, 46, 45 ], [ 25, 47, 44 ], [ 25, 48, 51 ], [ 25, 49, 9 ], [ 25, 50, 45 ], [ 25, 51, 20 ], [ 25, 52, 46 ], [ 25, 53, 44 ], [ 25, 54, 17 ], [ 25, 55, 52 ], [ 25, 56, 54 ], [ 25, 57, 19 ], [ 25, 58, 0 ], [ 25, 59, 6 ], [ 26, 0, 0 ], [ 26, 1, 6 ], [ 26, 2, 9 ], [ 26, 3, 56 ], [ 26, 4, 57 ], [ 26, 5, 58 ], [ 26, 6, 16 ], [ 26, 7, 22 ], [ 26, 8, 23 ], [ 26, 9, 42 ], [ 26, 10, 40 ], [ 26, 11, 39 ], [ 26, 12, 42 ], [ 26, 13, 56 ], [ 26, 14, 16 ], [ 26, 15, 9 ], [ 26, 16, 23 ], [ 26, 17, 22 ], [ 26, 18, 0 ], [ 26, 19, 39 ], [ 26, 20, 40 ], [ 26, 21, 6 ], [ 26, 22, 57 ], [ 26, 23, 58 ], [ 26, 24, 22 ], [ 26, 25, 40 ], [ 26, 26, 0 ], [ 26, 27, 57 ], [ 26, 28, 42 ], [ 26, 29, 39 ], [ 26, 30, 58 ], [ 26, 31, 9 ], [ 26, 32, 6 ], [ 26, 33, 56 ], [ 26, 34, 23 ], [ 26, 35, 16 ], [ 26, 36, 39 ], [ 26, 37, 6 ], [ 26, 38, 57 ], [ 26, 39, 23 ], [ 26, 40, 58 ], [ 26, 41, 56 ], [ 26, 42, 16 ], [ 26, 43, 40 ], [ 26, 44, 42 ], [ 26, 45, 22 ], [ 26, 46, 0 ], [ 26, 47, 9 ], [ 26, 48, 58 ], [ 26, 49, 23 ], [ 26, 50, 9 ], [ 26, 51, 40 ], [ 26, 52, 16 ], [ 26, 53, 22 ], [ 26, 54, 39 ], [ 26, 55, 6 ], [ 26, 56, 0 ], [ 26, 57, 42 ], [ 26, 58, 57 ], [ 26, 59, 56 ], [ 27, 0, 0 ], [ 27, 1, 53 ], [ 27, 2, 41 ], [ 27, 3, 15 ], [ 27, 4, 57 ], [ 27, 5, 45 ], [ 27, 6, 16 ], [ 27, 7, 7 ], [ 27, 8, 36 ], [ 27, 9, 17 ], [ 27, 10, 10 ], [ 27, 11, 48 ], [ 27, 12, 24 ], [ 27, 13, 35 ], [ 27, 14, 32 ], [ 27, 15, 15 ], [ 27, 16, 45 ], [ 27, 17, 57 ], [ 27, 18, 16 ], [ 27, 19, 36 ], [ 27, 20, 7 ], [ 27, 21, 17 ], [ 27, 22, 48 ], [ 27, 23, 10 ], [ 27, 24, 24 ], [ 27, 25, 32 ], [ 27, 26, 35 ], [ 27, 27, 0 ], [ 27, 28, 41 ], [ 27, 29, 53 ], [ 27, 30, 7 ], [ 27, 31, 36 ], [ 27, 32, 16 ], [ 27, 33, 10 ], [ 27, 34, 48 ], [ 27, 35, 17 ], [ 27, 36, 35 ], [ 27, 37, 32 ], [ 27, 38, 24 ], [ 27, 39, 53 ], [ 27, 40, 41 ], [ 27, 41, 0 ], [ 27, 42, 57 ], [ 27, 43, 45 ], [ 27, 44, 15 ], [ 27, 45, 48 ], [ 27, 46, 10 ], [ 27, 47, 17 ], [ 27, 48, 32 ], [ 27, 49, 35 ], [ 27, 50, 24 ], [ 27, 51, 41 ], [ 27, 52, 53 ], [ 27, 53, 0 ], [ 27, 54, 45 ], [ 27, 55, 57 ], [ 27, 56, 15 ], [ 27, 57, 36 ], [ 27, 58, 7 ], [ 27, 59, 16 ], [ 28, 0, 0 ], [ 28, 1, 53 ], [ 28, 2, 41 ], [ 28, 3, 56 ], [ 28, 4, 13 ], [ 28, 5, 1 ], [ 28, 6, 43 ], [ 28, 7, 52 ], [ 28, 8, 23 ], [ 28, 9, 4 ], [ 28, 10, 19 ], [ 28, 11, 39 ], [ 28, 12, 34 ], [ 28, 13, 30 ], [ 28, 14, 25 ], [ 28, 15, 13 ], [ 28, 16, 35 ], [ 28, 17, 56 ], [ 28, 18, 23 ], [ 28, 19, 43 ], [ 28, 20, 32 ], [ 28, 21, 19 ], [ 28, 22, 24 ], [ 28, 23, 4 ], [ 28, 24, 30 ], [ 28, 25, 29 ], [ 28, 26, 34 ], [ 28, 27, 41 ], [ 28, 28, 0 ], [ 28, 29, 27 ], [ 28, 30, 43 ], [ 28, 31, 32 ], [ 28, 32, 52 ], [ 28, 33, 39 ], [ 28, 34, 19 ], [ 28, 35, 24 ], [ 28, 36, 25 ], [ 28, 37, 30 ], [ 28, 38, 29 ], [ 28, 39, 0 ], [ 28, 40, 27 ], [ 28, 41, 53 ], [ 28, 42, 1 ], [ 28, 43, 13 ], [ 28, 44, 35 ], [ 28, 45, 4 ], [ 28, 46, 24 ], [ 28, 47, 39 ], [ 28, 48, 34 ], [ 28, 49, 29 ], [ 28, 50, 25 ], [ 28, 51, 53 ], [ 28, 52, 41 ], [ 28, 53, 27 ], [ 28, 54, 56 ], [ 28, 55, 35 ], [ 28, 56, 1 ], [ 28, 57, 52 ], [ 28, 58, 23 ], [ 28, 59, 32 ], [ 29, 0, 0 ], [ 29, 1, 53 ], [ 29, 2, 41 ], [ 29, 3, 44 ], [ 29, 4, 2 ], [ 29, 5, 14 ], [ 29, 6, 5 ], [ 29, 7, 22 ], [ 29, 8, 51 ], [ 29, 9, 55 ], [ 29, 10, 40 ], [ 29, 11, 20 ], [ 29, 12, 31 ], [ 29, 13, 26 ], [ 29, 14, 33 ], [ 29, 15, 14 ], [ 29, 16, 44 ], [ 29, 17, 32 ], [ 29, 18, 22 ], [ 29, 19, 24 ], [ 29, 20, 5 ], [ 29, 21, 20 ], [ 29, 22, 55 ], [ 29, 23, 35 ], [ 29, 24, 33 ], [ 29, 25, 31 ], [ 29, 26, 28 ], [ 29, 27, 53 ], [ 29, 28, 27 ], [ 29, 29, 0 ], [ 29, 30, 51 ], [ 29, 31, 22 ], [ 29, 32, 24 ], [ 29, 33, 55 ], [ 29, 34, 35 ], [ 29, 35, 40 ], [ 29, 36, 31 ], [ 29, 37, 28 ], [ 29, 38, 26 ], [ 29, 39, 41 ], [ 29, 40, 53 ], [ 29, 41, 27 ], [ 29, 42, 44 ], [ 29, 43, 32 ], [ 29, 44, 2 ], [ 29, 45, 40 ], [ 29, 46, 20 ], [ 29, 47, 35 ], [ 29, 48, 26 ], [ 29, 49, 33 ], [ 29, 50, 28 ], [ 29, 51, 0 ], [ 29, 52, 27 ], [ 29, 53, 41 ], [ 29, 54, 2 ], [ 29, 55, 14 ], [ 29, 56, 32 ], [ 29, 57, 5 ], [ 29, 58, 24 ], [ 29, 59, 51 ], [ 30, 0, 0 ], [ 30, 1, 21 ], [ 30, 2, 50 ], [ 30, 3, 44 ], [ 30, 4, 13 ], [ 30, 5, 58 ], [ 30, 6, 43 ], [ 30, 7, 7 ], [ 30, 8, 51 ], [ 30, 9, 42 ], [ 30, 10, 10 ], [ 30, 11, 20 ], [ 30, 12, 50 ], [ 30, 13, 0 ], [ 30, 14, 21 ], [ 30, 15, 43 ], [ 30, 16, 29 ], [ 30, 17, 10 ], [ 30, 18, 42 ], [ 30, 19, 13 ], [ 30, 20, 34 ], [ 30, 21, 44 ], [ 30, 22, 25 ], [ 30, 23, 51 ], [ 30, 24, 13 ], [ 30, 25, 58 ], [ 30, 26, 44 ], [ 30, 27, 10 ], [ 30, 28, 43 ], [ 30, 29, 29 ], [ 30, 30, 0 ], [ 30, 31, 25 ], [ 30, 32, 20 ], [ 30, 33, 7 ], [ 30, 34, 50 ], [ 30, 35, 34 ], [ 30, 36, 51 ], [ 30, 37, 43 ], [ 30, 38, 7 ], [ 30, 39, 13 ], [ 30, 40, 34 ], [ 30, 41, 42 ], [ 30, 42, 20 ], [ 30, 43, 0 ], [ 30, 44, 25 ], [ 30, 45, 21 ], [ 30, 46, 29 ], [ 30, 47, 58 ], [ 30, 48, 10 ], [ 30, 49, 20 ], [ 30, 50, 42 ], [ 30, 51, 51 ], [ 30, 52, 44 ], [ 30, 53, 25 ], [ 30, 54, 50 ], [ 30, 55, 34 ], [ 30, 56, 7 ], [ 30, 57, 58 ], [ 30, 58, 21 ], [ 30, 59, 29 ], [ 31, 0, 0 ], [ 31, 1, 21 ], [ 31, 2, 50 ], [ 31, 3, 56 ], [ 31, 4, 2 ], [ 31, 5, 45 ], [ 31, 6, 5 ], [ 31, 7, 37 ], [ 31, 8, 23 ], [ 31, 9, 17 ], [ 31, 10, 49 ], [ 31, 11, 39 ], [ 31, 12, 23 ], [ 31, 13, 49 ], [ 31, 14, 2 ], [ 31, 15, 37 ], [ 31, 16, 5 ], [ 31, 17, 21 ], [ 31, 18, 39 ], [ 31, 19, 50 ], [ 31, 20, 17 ], [ 31, 21, 45 ], [ 31, 22, 56 ], [ 31, 23, 0 ], [ 31, 24, 39 ], [ 31, 25, 50 ], [ 31, 26, 5 ], [ 31, 27, 17 ], [ 31, 28, 45 ], [ 31, 29, 49 ], [ 31, 30, 21 ], [ 31, 31, 0 ], [ 31, 32, 56 ], [ 31, 33, 23 ], [ 31, 34, 2 ], [ 31, 35, 37 ], [ 31, 36, 45 ], [ 31, 37, 17 ], [ 31, 38, 0 ], [ 31, 39, 56 ], [ 31, 40, 2 ], [ 31, 41, 37 ], [ 31, 42, 49 ], [ 31, 43, 23 ], [ 31, 44, 39 ], [ 31, 45, 50 ], [ 31, 46, 21 ], [ 31, 47, 5 ], [ 31, 48, 37 ], [ 31, 49, 21 ], [ 31, 50, 56 ], [ 31, 51, 5 ], [ 31, 52, 39 ], [ 31, 53, 23 ], [ 31, 54, 0 ], [ 31, 55, 50 ], [ 31, 56, 17 ], [ 31, 57, 2 ], [ 31, 58, 49 ], [ 31, 59, 45 ], [ 32, 0, 0 ], [ 32, 1, 21 ], [ 32, 2, 50 ], [ 32, 3, 15 ], [ 32, 4, 46 ], [ 32, 5, 1 ], [ 32, 6, 54 ], [ 32, 7, 22 ], [ 32, 8, 36 ], [ 32, 9, 4 ], [ 32, 10, 40 ], [ 32, 11, 48 ], [ 32, 12, 1 ], [ 32, 13, 22 ], [ 32, 14, 48 ], [ 32, 15, 36 ], [ 32, 16, 0 ], [ 32, 17, 54 ], [ 32, 18, 40 ], [ 32, 19, 4 ], [ 32, 20, 21 ], [ 32, 21, 46 ], [ 32, 22, 50 ], [ 32, 23, 15 ], [ 32, 24, 21 ], [ 32, 25, 36 ], [ 32, 26, 4 ], [ 32, 27, 48 ], [ 32, 28, 40 ], [ 32, 29, 15 ], [ 32, 30, 50 ], [ 32, 31, 46 ], [ 32, 32, 0 ], [ 32, 33, 54 ], [ 32, 34, 22 ], [ 32, 35, 1 ], [ 32, 36, 50 ], [ 32, 37, 15 ], [ 32, 38, 40 ], [ 32, 39, 1 ], [ 32, 40, 54 ], [ 32, 41, 46 ], [ 32, 42, 4 ], [ 32, 43, 48 ], [ 32, 44, 22 ], [ 32, 45, 0 ], [ 32, 46, 36 ], [ 32, 47, 21 ], [ 32, 48, 0 ], [ 32, 49, 46 ], [ 32, 50, 54 ], [ 32, 51, 22 ], [ 32, 52, 36 ], [ 32, 53, 4 ], [ 32, 54, 21 ], [ 32, 55, 40 ], [ 32, 56, 50 ], [ 32, 57, 15 ], [ 32, 58, 1 ], [ 32, 59, 48 ], [ 33, 0, 0 ], [ 33, 1, 38 ], [ 33, 2, 18 ], [ 33, 3, 56 ], [ 33, 4, 46 ], [ 33, 5, 14 ], [ 33, 6, 54 ], [ 33, 7, 7 ], [ 33, 8, 23 ], [ 33, 9, 55 ], [ 33, 10, 10 ], [ 33, 11, 39 ], [ 33, 12, 38 ], [ 33, 13, 18 ], [ 33, 14, 0 ], [ 33, 15, 55 ], [ 33, 16, 7 ], [ 33, 17, 28 ], [ 33, 18, 56 ], [ 33, 19, 26 ], [ 33, 20, 39 ], [ 33, 21, 54 ], [ 33, 22, 14 ], [ 33, 23, 31 ], [ 33, 24, 14 ], [ 33, 25, 56 ], [ 33, 26, 46 ], [ 33, 27, 7 ], [ 33, 28, 28 ], [ 33, 29, 55 ], [ 33, 30, 10 ], [ 33, 31, 38 ], [ 33, 32, 31 ], [ 33, 33, 0 ], [ 33, 34, 26 ], [ 33, 35, 23 ], [ 33, 36, 7 ], [ 33, 37, 23 ], [ 33, 38, 54 ], [ 33, 39, 39 ], [ 33, 40, 56 ], [ 33, 41, 26 ], [ 33, 42, 38 ], [ 33, 43, 31 ], [ 33, 44, 10 ], [ 33, 45, 46 ], [ 33, 46, 18 ], [ 33, 47, 28 ], [ 33, 48, 39 ], [ 33, 49, 55 ], [ 33, 50, 10 ], [ 33, 51, 14 ], [ 33, 52, 31 ], [ 33, 53, 54 ], [ 33, 54, 23 ], [ 33, 55, 0 ], [ 33, 56, 26 ], [ 33, 57, 18 ], [ 33, 58, 28 ], [ 33, 59, 46 ], [ 34, 0, 0 ], [ 34, 1, 38 ], [ 34, 2, 18 ], [ 34, 3, 44 ], [ 34, 4, 57 ], [ 34, 5, 1 ], [ 34, 6, 16 ], [ 34, 7, 37 ], [ 34, 8, 51 ], [ 34, 9, 4 ], [ 34, 10, 49 ], [ 34, 11, 20 ], [ 34, 12, 20 ], [ 34, 13, 1 ], [ 34, 14, 37 ], [ 34, 15, 49 ], [ 34, 16, 18 ], [ 34, 17, 4 ], [ 34, 18, 57 ], [ 34, 19, 44 ], [ 34, 20, 0 ], [ 34, 21, 51 ], [ 34, 22, 38 ], [ 34, 23, 16 ], [ 34, 24, 51 ], [ 34, 25, 4 ], [ 34, 26, 38 ], [ 34, 27, 16 ], [ 34, 28, 37 ], [ 34, 29, 57 ], [ 34, 30, 20 ], [ 34, 31, 1 ], [ 34, 32, 49 ], [ 34, 33, 18 ], [ 34, 34, 0 ], [ 34, 35, 44 ], [ 34, 36, 49 ], [ 34, 37, 18 ], [ 34, 38, 44 ], [ 34, 39, 4 ], [ 34, 40, 51 ], [ 34, 41, 20 ], [ 34, 42, 0 ], [ 34, 43, 38 ], [ 34, 44, 16 ], [ 34, 45, 1 ], [ 34, 46, 37 ], [ 34, 47, 57 ], [ 34, 48, 57 ], [ 34, 49, 16 ], [ 34, 50, 0 ], [ 34, 51, 44 ], [ 34, 52, 1 ], [ 34, 53, 49 ], [ 34, 54, 37 ], [ 34, 55, 20 ], [ 34, 56, 51 ], [ 34, 57, 38 ], [ 34, 58, 18 ], [ 34, 59, 4 ], [ 35, 0, 0 ], [ 35, 1, 38 ], [ 35, 2, 18 ], [ 35, 3, 15 ], [ 35, 4, 2 ], [ 35, 5, 58 ], [ 35, 6, 5 ], [ 35, 7, 52 ], [ 35, 8, 36 ], [ 35, 9, 42 ], [ 35, 10, 19 ], [ 35, 11, 48 ], [ 35, 12, 2 ], [ 35, 13, 36 ], [ 35, 14, 19 ], [ 35, 15, 48 ], [ 35, 16, 42 ], [ 35, 17, 0 ], [ 35, 18, 58 ], [ 35, 19, 38 ], [ 35, 20, 15 ], [ 35, 21, 52 ], [ 35, 22, 5 ], [ 35, 23, 18 ], [ 35, 24, 18 ], [ 35, 25, 5 ], [ 35, 26, 48 ], [ 35, 27, 36 ], [ 35, 28, 15 ], [ 35, 29, 52 ], [ 35, 30, 42 ], [ 35, 31, 19 ], [ 35, 32, 2 ], [ 35, 33, 38 ], [ 35, 34, 58 ], [ 35, 35, 0 ], [ 35, 36, 0 ], [ 35, 37, 58 ], [ 35, 38, 42 ], [ 35, 39, 19 ], [ 35, 40, 48 ], [ 35, 41, 5 ], [ 35, 42, 18 ], [ 35, 43, 52 ], [ 35, 44, 38 ], [ 35, 45, 15 ], [ 35, 46, 2 ], [ 35, 47, 36 ], [ 35, 48, 38 ], [ 35, 49, 15 ], [ 35, 50, 52 ], [ 35, 51, 2 ], [ 35, 52, 42 ], [ 35, 53, 58 ], [ 35, 54, 5 ], [ 35, 55, 36 ], [ 35, 56, 19 ], [ 35, 57, 0 ], [ 35, 58, 48 ], [ 35, 59, 18 ], [ 36, 0, 0 ], [ 36, 1, 10 ], [ 36, 2, 4 ], [ 36, 3, 21 ], [ 36, 4, 20 ], [ 36, 5, 22 ], [ 36, 6, 56 ], [ 36, 7, 54 ], [ 36, 8, 57 ], [ 36, 9, 29 ], [ 36, 10, 32 ], [ 36, 11, 28 ], [ 36, 12, 20 ], [ 36, 13, 57 ], [ 36, 14, 32 ], [ 36, 15, 28 ], [ 36, 16, 29 ], [ 36, 17, 0 ], [ 36, 18, 22 ], [ 36, 19, 10 ], [ 36, 20, 21 ], [ 36, 21, 54 ], [ 36, 22, 56 ], [ 36, 23, 4 ], [ 36, 24, 4 ], [ 36, 25, 56 ], [ 36, 26, 28 ], [ 36, 27, 57 ], [ 36, 28, 21 ], [ 36, 29, 54 ], [ 36, 30, 29 ], [ 36, 31, 32 ], [ 36, 32, 20 ], [ 36, 33, 10 ], [ 36, 34, 22 ], [ 36, 35, 0 ], [ 36, 36, 0 ], [ 36, 37, 22 ], [ 36, 38, 29 ], [ 36, 39, 32 ], [ 36, 40, 28 ], [ 36, 41, 56 ], [ 36, 42, 4 ], [ 36, 43, 54 ], [ 36, 44, 10 ], [ 36, 45, 21 ], [ 36, 46, 20 ], [ 36, 47, 57 ], [ 36, 48, 10 ], [ 36, 49, 21 ], [ 36, 50, 54 ], [ 36, 51, 20 ], [ 36, 52, 29 ], [ 36, 53, 22 ], [ 36, 54, 56 ], [ 36, 55, 57 ], [ 36, 56, 32 ], [ 36, 57, 0 ], [ 36, 58, 28 ], [ 36, 59, 4 ], [ 37, 0, 0 ], [ 37, 1, 10 ], [ 37, 2, 4 ], [ 37, 3, 26 ], [ 37, 4, 30 ], [ 37, 5, 24 ], [ 37, 6, 13 ], [ 37, 7, 12 ], [ 37, 8, 19 ], [ 37, 9, 49 ], [ 37, 10, 59 ], [ 37, 11, 50 ], [ 37, 12, 59 ], [ 37, 13, 30 ], [ 37, 14, 19 ], [ 37, 15, 43 ], [ 37, 16, 44 ], [ 37, 17, 4 ], [ 37, 18, 40 ], [ 37, 19, 0 ], [ 37, 20, 39 ], [ 37, 21, 45 ], [ 37, 22, 47 ], [ 37, 23, 10 ], [ 37, 24, 13 ], [ 37, 25, 50 ], [ 37, 26, 4 ], [ 37, 27, 45 ], [ 37, 28, 30 ], [ 37, 29, 39 ], [ 37, 30, 43 ], [ 37, 31, 36 ], [ 37, 32, 24 ], [ 37, 33, 38 ], [ 37, 34, 26 ], [ 37, 35, 44 ], [ 37, 36, 49 ], [ 37, 37, 0 ], [ 37, 38, 24 ], [ 37, 39, 43 ], [ 37, 40, 47 ], [ 37, 41, 19 ], [ 37, 42, 38 ], [ 37, 43, 13 ], [ 37, 44, 39 ], [ 37, 45, 40 ], [ 37, 46, 36 ], [ 37, 47, 12 ], [ 37, 48, 26 ], [ 37, 49, 12 ], [ 37, 50, 10 ], [ 37, 51, 40 ], [ 37, 52, 59 ], [ 37, 53, 44 ], [ 37, 54, 45 ], [ 37, 55, 36 ], [ 37, 56, 50 ], [ 37, 57, 38 ], [ 37, 58, 49 ], [ 37, 59, 47 ], [ 38, 0, 0 ], [ 38, 1, 10 ], [ 38, 2, 4 ], [ 38, 3, 52 ], [ 38, 4, 58 ], [ 38, 5, 51 ], [ 38, 6, 35 ], [ 38, 7, 34 ], [ 38, 8, 31 ], [ 38, 9, 15 ], [ 38, 10, 18 ], [ 38, 11, 16 ], [ 38, 12, 31 ], [ 38, 13, 18 ], [ 38, 14, 58 ], [ 38, 15, 34 ], [ 38, 16, 35 ], [ 38, 17, 10 ], [ 38, 18, 16 ], [ 38, 19, 4 ], [ 38, 20, 15 ], [ 38, 21, 51 ], [ 38, 22, 52 ], [ 38, 23, 0 ], [ 38, 24, 16 ], [ 38, 25, 4 ], [ 38, 26, 35 ], [ 38, 27, 15 ], [ 38, 28, 51 ], [ 38, 29, 18 ], [ 38, 30, 10 ], [ 38, 31, 0 ], [ 38, 32, 52 ], [ 38, 33, 31 ], [ 38, 34, 58 ], [ 38, 35, 34 ], [ 38, 36, 51 ], [ 38, 37, 15 ], [ 38, 38, 0 ], [ 38, 39, 52 ], [ 38, 40, 58 ], [ 38, 41, 34 ], [ 38, 42, 18 ], [ 38, 43, 31 ], [ 38, 44, 16 ], [ 38, 45, 4 ], [ 38, 46, 10 ], [ 38, 47, 35 ], [ 38, 48, 34 ], [ 38, 49, 10 ], [ 38, 50, 52 ], [ 38, 51, 35 ], [ 38, 52, 16 ], [ 38, 53, 31 ], [ 38, 54, 0 ], [ 38, 55, 4 ], [ 38, 56, 15 ], [ 38, 57, 58 ], [ 38, 58, 18 ], [ 38, 59, 51 ], [ 39, 0, 0 ], [ 39, 1, 27 ], [ 39, 2, 53 ], [ 39, 3, 21 ], [ 39, 4, 30 ], [ 39, 5, 51 ], [ 39, 6, 13 ], [ 39, 7, 2 ], [ 39, 8, 57 ], [ 39, 9, 15 ], [ 39, 10, 6 ], [ 39, 11, 28 ], [ 39, 12, 38 ], [ 39, 13, 43 ], [ 39, 14, 45 ], [ 39, 15, 30 ], [ 39, 16, 42 ], [ 39, 17, 21 ], [ 39, 18, 57 ], [ 39, 19, 13 ], [ 39, 20, 46 ], [ 39, 21, 6 ], [ 39, 22, 37 ], [ 39, 23, 15 ], [ 39, 24, 43 ], [ 39, 25, 40 ], [ 39, 26, 38 ], [ 39, 27, 53 ], [ 39, 28, 0 ], [ 39, 29, 41 ], [ 39, 30, 13 ], [ 39, 31, 46 ], [ 39, 32, 2 ], [ 39, 33, 28 ], [ 39, 34, 6 ], [ 39, 35, 37 ], [ 39, 36, 45 ], [ 39, 37, 43 ], [ 39, 38, 40 ], [ 39, 39, 0 ], [ 39, 40, 41 ], [ 39, 41, 27 ], [ 39, 42, 51 ], [ 39, 43, 30 ], [ 39, 44, 42 ], [ 39, 45, 15 ], [ 39, 46, 37 ], [ 39, 47, 28 ], [ 39, 48, 38 ], [ 39, 49, 40 ], [ 39, 50, 45 ], [ 39, 51, 27 ], [ 39, 52, 53 ], [ 39, 53, 41 ], [ 39, 54, 21 ], [ 39, 55, 42 ], [ 39, 56, 51 ], [ 39, 57, 2 ], [ 39, 58, 57 ], [ 39, 59, 46 ], [ 40, 0, 0 ], [ 40, 1, 27 ], [ 40, 2, 53 ], [ 40, 3, 52 ], [ 40, 4, 7 ], [ 40, 5, 22 ], [ 40, 6, 1 ], [ 40, 7, 12 ], [ 40, 8, 31 ], [ 40, 9, 29 ], [ 40, 10, 59 ], [ 40, 11, 16 ], [ 40, 12, 47 ], [ 40, 13, 36 ], [ 40, 14, 44 ], [ 40, 15, 37 ], [ 40, 16, 7 ], [ 40, 17, 22 ], [ 40, 18, 42 ], [ 40, 19, 12 ], [ 40, 20, 31 ], [ 40, 21, 46 ], [ 40, 22, 59 ], [ 40, 23, 16 ], [ 40, 24, 39 ], [ 40, 25, 36 ], [ 40, 26, 44 ], [ 40, 27, 41 ], [ 40, 28, 27 ], [ 40, 29, 53 ], [ 40, 30, 42 ], [ 40, 31, 1 ], [ 40, 32, 31 ], [ 40, 33, 46 ], [ 40, 34, 29 ], [ 40, 35, 16 ], [ 40, 36, 39 ], [ 40, 37, 47 ], [ 40, 38, 44 ], [ 40, 39, 41 ], [ 40, 40, 0 ], [ 40, 41, 53 ], [ 40, 42, 37 ], [ 40, 43, 52 ], [ 40, 44, 22 ], [ 40, 45, 46 ], [ 40, 46, 29 ], [ 40, 47, 59 ], [ 40, 48, 39 ], [ 40, 49, 47 ], [ 40, 50, 36 ], [ 40, 51, 41 ], [ 40, 52, 0 ], [ 40, 53, 27 ], [ 40, 54, 37 ], [ 40, 55, 52 ], [ 40, 56, 7 ], [ 40, 57, 42 ], [ 40, 58, 1 ], [ 40, 59, 12 ], [ 41, 0, 0 ], [ 41, 1, 27 ], [ 41, 2, 53 ], [ 41, 3, 26 ], [ 41, 4, 20 ], [ 41, 5, 5 ], [ 41, 6, 56 ], [ 41, 7, 34 ], [ 41, 8, 19 ], [ 41, 9, 9 ], [ 41, 10, 18 ], [ 41, 11, 50 ], [ 41, 12, 42 ], [ 41, 13, 46 ], [ 41, 14, 37 ], [ 41, 15, 26 ], [ 41, 16, 5 ], [ 41, 17, 20 ], [ 41, 18, 56 ], [ 41, 19, 19 ], [ 41, 20, 34 ], [ 41, 21, 9 ], [ 41, 22, 50 ], [ 41, 23, 18 ], [ 41, 24, 42 ], [ 41, 25, 37 ], [ 41, 26, 46 ], [ 41, 27, 0 ], [ 41, 28, 53 ], [ 41, 29, 27 ], [ 41, 30, 34 ], [ 41, 31, 19 ], [ 41, 32, 56 ], [ 41, 33, 18 ], [ 41, 34, 50 ], [ 41, 35, 9 ], [ 41, 36, 46 ], [ 41, 37, 37 ], [ 41, 38, 42 ], [ 41, 39, 27 ], [ 41, 40, 53 ], [ 41, 41, 0 ], [ 41, 42, 20 ], [ 41, 43, 5 ], [ 41, 44, 26 ], [ 41, 45, 50 ], [ 41, 46, 18 ], [ 41, 47, 9 ], [ 41, 48, 37 ], [ 41, 49, 46 ], [ 41, 50, 42 ], [ 41, 51, 53 ], [ 41, 52, 27 ], [ 41, 53, 0 ], [ 41, 54, 5 ], [ 41, 55, 20 ], [ 41, 56, 26 ], [ 41, 57, 19 ], [ 41, 58, 34 ], [ 41, 59, 56 ], [ 42, 0, 0 ], [ 42, 1, 48 ], [ 42, 2, 23 ], [ 42, 3, 26 ], [ 42, 4, 58 ], [ 42, 5, 22 ], [ 42, 6, 35 ], [ 42, 7, 2 ], [ 42, 8, 19 ], [ 42, 9, 29 ], [ 42, 10, 6 ], [ 42, 11, 50 ], [ 42, 12, 50 ], [ 42, 13, 22 ], [ 42, 14, 2 ], [ 42, 15, 6 ], [ 42, 16, 23 ], [ 42, 17, 29 ], [ 42, 18, 58 ], [ 42, 19, 26 ], [ 42, 20, 0 ], [ 42, 21, 19 ], [ 42, 22, 48 ], [ 42, 23, 35 ], [ 42, 24, 19 ], [ 42, 25, 29 ], [ 42, 26, 48 ], [ 42, 27, 35 ], [ 42, 28, 2 ], [ 42, 29, 58 ], [ 42, 30, 50 ], [ 42, 31, 22 ], [ 42, 32, 6 ], [ 42, 33, 23 ], [ 42, 34, 0 ], [ 42, 35, 26 ], [ 42, 36, 6 ], [ 42, 37, 23 ], [ 42, 38, 26 ], [ 42, 39, 29 ], [ 42, 40, 19 ], [ 42, 41, 50 ], [ 42, 42, 0 ], [ 42, 43, 48 ], [ 42, 44, 35 ], [ 42, 45, 22 ], [ 42, 46, 2 ], [ 42, 47, 58 ], [ 42, 48, 58 ], [ 42, 49, 35 ], [ 42, 50, 0 ], [ 42, 51, 26 ], [ 42, 52, 22 ], [ 42, 53, 6 ], [ 42, 54, 2 ], [ 42, 55, 50 ], [ 42, 56, 19 ], [ 42, 57, 48 ], [ 42, 58, 23 ], [ 42, 59, 29 ], [ 43, 0, 0 ], [ 43, 1, 48 ], [ 43, 2, 23 ], [ 43, 3, 52 ], [ 43, 4, 30 ], [ 43, 5, 5 ], [ 43, 6, 13 ], [ 43, 7, 54 ], [ 43, 8, 31 ], [ 43, 9, 9 ], [ 43, 10, 32 ], [ 43, 11, 16 ], [ 43, 12, 23 ], [ 43, 13, 0 ], [ 43, 14, 48 ], [ 43, 15, 13 ], [ 43, 16, 45 ], [ 43, 17, 32 ], [ 43, 18, 9 ], [ 43, 19, 30 ], [ 43, 20, 40 ], [ 43, 21, 52 ], [ 43, 22, 38 ], [ 43, 23, 31 ], [ 43, 24, 30 ], [ 43, 25, 5 ], [ 43, 26, 52 ], [ 43, 27, 32 ], [ 43, 28, 13 ], [ 43, 29, 45 ], [ 43, 30, 0 ], [ 43, 31, 38 ], [ 43, 32, 16 ], [ 43, 33, 54 ], [ 43, 34, 23 ], [ 43, 35, 40 ], [ 43, 36, 31 ], [ 43, 37, 13 ], [ 43, 38, 54 ], [ 43, 39, 30 ], [ 43, 40, 40 ], [ 43, 41, 9 ], [ 43, 42, 16 ], [ 43, 43, 0 ], [ 43, 44, 38 ], [ 43, 45, 48 ], [ 43, 46, 45 ], [ 43, 47, 5 ], [ 43, 48, 32 ], [ 43, 49, 16 ], [ 43, 50, 9 ], [ 43, 51, 31 ], [ 43, 52, 52 ], [ 43, 53, 38 ], [ 43, 54, 23 ], [ 43, 55, 40 ], [ 43, 56, 54 ], [ 43, 57, 5 ], [ 43, 58, 48 ], [ 43, 59, 45 ], [ 44, 0, 0 ], [ 44, 1, 48 ], [ 44, 2, 23 ], [ 44, 3, 21 ], [ 44, 4, 7 ], [ 44, 5, 24 ], [ 44, 6, 1 ], [ 44, 7, 34 ], [ 44, 8, 57 ], [ 44, 9, 49 ], [ 44, 10, 18 ], [ 44, 11, 28 ], [ 44, 12, 1 ], [ 44, 13, 49 ], [ 44, 14, 21 ], [ 44, 15, 48 ], [ 44, 16, 18 ], [ 44, 17, 28 ], [ 44, 18, 23 ], [ 44, 19, 24 ], [ 44, 20, 7 ], [ 44, 21, 0 ], [ 44, 22, 57 ], [ 44, 23, 34 ], [ 44, 24, 18 ], [ 44, 25, 0 ], [ 44, 26, 34 ], [ 44, 27, 24 ], [ 44, 28, 57 ], [ 44, 29, 1 ], [ 44, 30, 21 ], [ 44, 31, 28 ], [ 44, 32, 49 ], [ 44, 33, 7 ], [ 44, 34, 48 ], [ 44, 35, 23 ], [ 44, 36, 7 ], [ 44, 37, 28 ], [ 44, 38, 48 ], [ 44, 39, 34 ], [ 44, 40, 49 ], [ 44, 41, 18 ], [ 44, 42, 57 ], [ 44, 43, 23 ], [ 44, 44, 0 ], [ 44, 45, 1 ], [ 44, 46, 24 ], [ 44, 47, 21 ], [ 44, 48, 57 ], [ 44, 49, 23 ], [ 44, 50, 24 ], [ 44, 51, 28 ], [ 44, 52, 7 ], [ 44, 53, 21 ], [ 44, 54, 49 ], [ 44, 55, 34 ], [ 44, 56, 1 ], [ 44, 57, 18 ], [ 44, 58, 0 ], [ 44, 59, 48 ], [ 45, 0, 0 ], [ 45, 1, 17 ], [ 45, 2, 25 ], [ 45, 3, 52 ], [ 45, 4, 20 ], [ 45, 5, 24 ], [ 45, 6, 56 ], [ 45, 7, 2 ], [ 45, 8, 31 ], [ 45, 9, 49 ], [ 45, 10, 6 ], [ 45, 11, 16 ], [ 45, 12, 24 ], [ 45, 13, 2 ], [ 45, 14, 16 ], [ 45, 15, 31 ], [ 45, 16, 0 ], [ 45, 17, 56 ], [ 45, 18, 6 ], [ 45, 19, 49 ], [ 45, 20, 17 ], [ 45, 21, 20 ], [ 45, 22, 25 ], [ 45, 23, 52 ], [ 45, 24, 17 ], [ 45, 25, 31 ], [ 45, 26, 49 ], [ 45, 27, 16 ], [ 45, 28, 6 ], [ 45, 29, 52 ], [ 45, 30, 25 ], [ 45, 31, 20 ], [ 45, 32, 0 ], [ 45, 33, 56 ], [ 45, 34, 2 ], [ 45, 35, 24 ], [ 45, 36, 25 ], [ 45, 37, 52 ], [ 45, 38, 6 ], [ 45, 39, 24 ], [ 45, 40, 56 ], [ 45, 41, 20 ], [ 45, 42, 49 ], [ 45, 43, 16 ], [ 45, 44, 2 ], [ 45, 45, 0 ], [ 45, 46, 31 ], [ 45, 47, 17 ], [ 45, 48, 0 ], [ 45, 49, 20 ], [ 45, 50, 56 ], [ 45, 51, 2 ], [ 45, 52, 31 ], [ 45, 53, 49 ], [ 45, 54, 17 ], [ 45, 55, 6 ], [ 45, 56, 25 ], [ 45, 57, 52 ], [ 45, 58, 24 ], [ 45, 59, 16 ], [ 46, 0, 0 ], [ 46, 1, 17 ], [ 46, 2, 25 ], [ 46, 3, 26 ], [ 46, 4, 7 ], [ 46, 5, 51 ], [ 46, 6, 1 ], [ 46, 7, 54 ], [ 46, 8, 19 ], [ 46, 9, 15 ], [ 46, 10, 32 ], [ 46, 11, 50 ], [ 46, 12, 15 ], [ 46, 13, 26 ], [ 46, 14, 1 ], [ 46, 15, 25 ], [ 46, 16, 19 ], [ 46, 17, 54 ], [ 46, 18, 0 ], [ 46, 19, 50 ], [ 46, 20, 32 ], [ 46, 21, 17 ], [ 46, 22, 7 ], [ 46, 23, 51 ], [ 46, 24, 54 ], [ 46, 25, 32 ], [ 46, 26, 0 ], [ 46, 27, 7 ], [ 46, 28, 15 ], [ 46, 29, 50 ], [ 46, 30, 51 ], [ 46, 31, 25 ], [ 46, 32, 17 ], [ 46, 33, 26 ], [ 46, 34, 19 ], [ 46, 35, 1 ], [ 46, 36, 50 ], [ 46, 37, 17 ], [ 46, 38, 7 ], [ 46, 39, 19 ], [ 46, 40, 51 ], [ 46, 41, 26 ], [ 46, 42, 1 ], [ 46, 43, 32 ], [ 46, 44, 15 ], [ 46, 45, 54 ], [ 46, 46, 0 ], [ 46, 47, 25 ], [ 46, 48, 51 ], [ 46, 49, 19 ], [ 46, 50, 25 ], [ 46, 51, 32 ], [ 46, 52, 1 ], [ 46, 53, 54 ], [ 46, 54, 50 ], [ 46, 55, 17 ], [ 46, 56, 0 ], [ 46, 57, 15 ], [ 46, 58, 7 ], [ 46, 59, 26 ], [ 47, 0, 0 ], [ 47, 1, 17 ], [ 47, 2, 25 ], [ 47, 3, 21 ], [ 47, 4, 58 ], [ 47, 5, 5 ], [ 47, 6, 35 ], [ 47, 7, 12 ], [ 47, 8, 57 ], [ 47, 9, 9 ], [ 47, 10, 59 ], [ 47, 11, 28 ], [ 47, 12, 0 ], [ 47, 13, 17 ], [ 47, 14, 25 ], [ 47, 15, 36 ], [ 47, 16, 28 ], [ 47, 17, 57 ], [ 47, 18, 39 ], [ 47, 19, 59 ], [ 47, 20, 5 ], [ 47, 21, 44 ], [ 47, 22, 12 ], [ 47, 23, 58 ], [ 47, 24, 21 ], [ 47, 25, 58 ], [ 47, 26, 5 ], [ 47, 27, 36 ], [ 47, 28, 28 ], [ 47, 29, 57 ], [ 47, 30, 44 ], [ 47, 31, 9 ], [ 47, 32, 25 ], [ 47, 33, 39 ], [ 47, 34, 35 ], [ 47, 35, 17 ], [ 47, 36, 35 ], [ 47, 37, 12 ], [ 47, 38, 57 ], [ 47, 39, 39 ], [ 47, 40, 59 ], [ 47, 41, 5 ], [ 47, 42, 44 ], [ 47, 43, 9 ], [ 47, 44, 25 ], [ 47, 45, 36 ], [ 47, 46, 21 ], [ 47, 47, 0 ], [ 47, 48, 9 ], [ 47, 49, 59 ], [ 47, 50, 28 ], [ 47, 51, 44 ], [ 47, 52, 12 ], [ 47, 53, 58 ], [ 47, 54, 39 ], [ 47, 55, 35 ], [ 47, 56, 17 ], [ 47, 57, 36 ], [ 47, 58, 21 ], [ 47, 59, 0 ], [ 48, 0, 0 ], [ 48, 1, 5 ], [ 48, 2, 7 ], [ 48, 3, 18 ], [ 48, 4, 19 ], [ 48, 5, 23 ], [ 48, 6, 28 ], [ 48, 7, 35 ], [ 48, 8, 29 ], [ 48, 9, 44 ], [ 48, 10, 42 ], [ 48, 11, 45 ], [ 48, 12, 23 ], [ 48, 13, 35 ], [ 48, 14, 45 ], [ 48, 15, 29 ], [ 48, 16, 0 ], [ 48, 17, 28 ], [ 48, 18, 42 ], [ 48, 19, 44 ], [ 48, 20, 5 ], [ 48, 21, 19 ], [ 48, 22, 7 ], [ 48, 23, 18 ], [ 48, 24, 5 ], [ 48, 25, 29 ], [ 48, 26, 44 ], [ 48, 27, 45 ], [ 48, 28, 42 ], [ 48, 29, 18 ], [ 48, 30, 7 ], [ 48, 31, 19 ], [ 48, 32, 0 ], [ 48, 33, 28 ], [ 48, 34, 35 ], [ 48, 35, 23 ], [ 48, 36, 7 ], [ 48, 37, 18 ], [ 48, 38, 42 ], [ 48, 39, 23 ], [ 48, 40, 28 ], [ 48, 41, 19 ], [ 48, 42, 44 ], [ 48, 43, 45 ], [ 48, 44, 35 ], [ 48, 45, 0 ], [ 48, 46, 29 ], [ 48, 47, 5 ], [ 48, 48, 0 ], [ 48, 49, 19 ], [ 48, 50, 28 ], [ 48, 51, 35 ], [ 48, 52, 29 ], [ 48, 53, 44 ], [ 48, 54, 5 ], [ 48, 55, 42 ], [ 48, 56, 7 ], [ 48, 57, 18 ], [ 48, 58, 23 ], [ 48, 59, 45 ], [ 49, 0, 0 ], [ 49, 1, 5 ], [ 49, 2, 7 ], [ 49, 3, 25 ], [ 49, 4, 24 ], [ 49, 5, 33 ], [ 49, 6, 37 ], [ 49, 7, 47 ], [ 49, 8, 38 ], [ 49, 9, 14 ], [ 49, 10, 12 ], [ 49, 11, 22 ], [ 49, 12, 47 ], [ 49, 13, 22 ], [ 49, 14, 33 ], [ 49, 15, 55 ], [ 49, 16, 5 ], [ 49, 17, 56 ], [ 49, 18, 57 ], [ 49, 19, 59 ], [ 49, 20, 7 ], [ 49, 21, 52 ], [ 49, 22, 0 ], [ 49, 23, 51 ], [ 49, 24, 14 ], [ 49, 25, 5 ], [ 49, 26, 38 ], [ 49, 27, 57 ], [ 49, 28, 51 ], [ 49, 29, 33 ], [ 49, 30, 50 ], [ 49, 31, 25 ], [ 49, 32, 56 ], [ 49, 33, 55 ], [ 49, 34, 48 ], [ 49, 35, 24 ], [ 49, 36, 25 ], [ 49, 37, 12 ], [ 49, 38, 7 ], [ 49, 39, 52 ], [ 49, 40, 47 ], [ 49, 41, 56 ], [ 49, 42, 57 ], [ 49, 43, 48 ], [ 49, 44, 38 ], [ 49, 45, 50 ], [ 49, 46, 37 ], [ 49, 47, 59 ], [ 49, 48, 37 ], [ 49, 49, 0 ], [ 49, 50, 24 ], [ 49, 51, 55 ], [ 49, 52, 59 ], [ 49, 53, 22 ], [ 49, 54, 50 ], [ 49, 55, 14 ], [ 49, 56, 51 ], [ 49, 57, 52 ], [ 49, 58, 48 ], [ 49, 59, 12 ], [ 50, 0, 0 ], [ 50, 1, 5 ], [ 50, 2, 7 ], [ 50, 3, 40 ], [ 50, 4, 39 ], [ 50, 5, 46 ], [ 50, 6, 15 ], [ 50, 7, 21 ], [ 50, 8, 17 ], [ 50, 9, 32 ], [ 50, 10, 31 ], [ 50, 11, 34 ], [ 50, 12, 34 ], [ 50, 13, 46 ], [ 50, 14, 21 ], [ 50, 15, 31 ], [ 50, 16, 7 ], [ 50, 17, 32 ], [ 50, 18, 39 ], [ 50, 19, 40 ], [ 50, 20, 0 ], [ 50, 21, 17 ], [ 50, 22, 5 ], [ 50, 23, 15 ], [ 50, 24, 17 ], [ 50, 25, 32 ], [ 50, 26, 5 ], [ 50, 27, 15 ], [ 50, 28, 21 ], [ 50, 29, 39 ], [ 50, 30, 34 ], [ 50, 31, 46 ], [ 50, 32, 31 ], [ 50, 33, 7 ], [ 50, 34, 0 ], [ 50, 35, 40 ], [ 50, 36, 31 ], [ 50, 37, 7 ], [ 50, 38, 40 ], [ 50, 39, 32 ], [ 50, 40, 17 ], [ 50, 41, 34 ], [ 50, 42, 0 ], [ 50, 43, 5 ], [ 50, 44, 15 ], [ 50, 45, 46 ], [ 50, 46, 21 ], [ 50, 47, 39 ], [ 50, 48, 39 ], [ 50, 49, 15 ], [ 50, 50, 0 ], [ 50, 51, 40 ], [ 50, 52, 46 ], [ 50, 53, 31 ], [ 50, 54, 21 ], [ 50, 55, 34 ], [ 50, 56, 17 ], [ 50, 57, 5 ], [ 50, 58, 7 ], [ 50, 59, 32 ], [ 51, 0, 0 ], [ 51, 1, 41 ], [ 51, 2, 27 ], [ 51, 3, 18 ], [ 51, 4, 39 ], [ 51, 5, 33 ], [ 51, 6, 15 ], [ 51, 7, 9 ], [ 51, 8, 29 ], [ 51, 9, 14 ], [ 51, 10, 1 ], [ 51, 11, 45 ], [ 51, 12, 50 ], [ 51, 13, 57 ], [ 51, 14, 55 ], [ 51, 15, 33 ], [ 51, 16, 18 ], [ 51, 17, 54 ], [ 51, 18, 9 ], [ 51, 19, 49 ], [ 51, 20, 15 ], [ 51, 21, 45 ], [ 51, 22, 14 ], [ 51, 23, 58 ], [ 51, 24, 55 ], [ 51, 25, 50 ], [ 51, 26, 52 ], [ 51, 27, 41 ], [ 51, 28, 53 ], [ 51, 29, 0 ], [ 51, 30, 29 ], [ 51, 31, 9 ], [ 51, 32, 49 ], [ 51, 33, 14 ], [ 51, 34, 58 ], [ 51, 35, 1 ], [ 51, 36, 50 ], [ 51, 37, 52 ], [ 51, 38, 57 ], [ 51, 39, 27 ], [ 51, 40, 41 ], [ 51, 41, 53 ], [ 51, 42, 18 ], [ 51, 43, 54 ], [ 51, 44, 39 ], [ 51, 45, 1 ], [ 51, 46, 45 ], [ 51, 47, 58 ], [ 51, 48, 57 ], [ 51, 49, 55 ], [ 51, 50, 52 ], [ 51, 51, 0 ], [ 51, 52, 53 ], [ 51, 53, 27 ], [ 51, 54, 39 ], [ 51, 55, 33 ], [ 51, 56, 54 ], [ 51, 57, 15 ], [ 51, 58, 49 ], [ 51, 59, 29 ], [ 52, 0, 0 ], [ 52, 1, 41 ], [ 52, 2, 27 ], [ 52, 3, 40 ], [ 52, 4, 19 ], [ 52, 5, 10 ], [ 52, 6, 28 ], [ 52, 7, 47 ], [ 52, 8, 17 ], [ 52, 9, 2 ], [ 52, 10, 12 ], [ 52, 11, 34 ], [ 52, 12, 59 ], [ 52, 13, 56 ], [ 52, 14, 48 ], [ 52, 15, 49 ], [ 52, 16, 19 ], [ 52, 17, 10 ], [ 52, 18, 58 ], [ 52, 19, 47 ], [ 52, 20, 17 ], [ 52, 21, 54 ], [ 52, 22, 12 ], [ 52, 23, 34 ], [ 52, 24, 51 ], [ 52, 25, 56 ], [ 52, 26, 48 ], [ 52, 27, 53 ], [ 52, 28, 41 ], [ 52, 29, 27 ], [ 52, 30, 58 ], [ 52, 31, 28 ], [ 52, 32, 17 ], [ 52, 33, 54 ], [ 52, 34, 2 ], [ 52, 35, 34 ], [ 52, 36, 51 ], [ 52, 37, 59 ], [ 52, 38, 48 ], [ 52, 39, 53 ], [ 52, 40, 0 ], [ 52, 41, 27 ], [ 52, 42, 49 ], [ 52, 43, 40 ], [ 52, 44, 10 ], [ 52, 45, 54 ], [ 52, 46, 2 ], [ 52, 47, 12 ], [ 52, 48, 51 ], [ 52, 49, 59 ], [ 52, 50, 56 ], [ 52, 51, 53 ], [ 52, 52, 0 ], [ 52, 53, 41 ], [ 52, 54, 49 ], [ 52, 55, 40 ], [ 52, 56, 19 ], [ 52, 57, 58 ], [ 52, 58, 28 ], [ 52, 59, 47 ], [ 53, 0, 0 ], [ 53, 1, 41 ], [ 53, 2, 27 ], [ 53, 3, 25 ], [ 53, 4, 4 ], [ 53, 5, 23 ], [ 53, 6, 6 ], [ 53, 7, 21 ], [ 53, 8, 38 ], [ 53, 9, 44 ], [ 53, 10, 31 ], [ 53, 11, 22 ], [ 53, 12, 54 ], [ 53, 13, 49 ], [ 53, 14, 58 ], [ 53, 15, 25 ], [ 53, 16, 23 ], [ 53, 17, 4 ], [ 53, 18, 6 ], [ 53, 19, 38 ], [ 53, 20, 21 ], [ 53, 21, 44 ], [ 53, 22, 22 ], [ 53, 23, 31 ], [ 53, 24, 54 ], [ 53, 25, 58 ], [ 53, 26, 49 ], [ 53, 27, 0 ], [ 53, 28, 27 ], [ 53, 29, 41 ], [ 53, 30, 21 ], [ 53, 31, 38 ], [ 53, 32, 6 ], [ 53, 33, 31 ], [ 53, 34, 22 ], [ 53, 35, 44 ], [ 53, 36, 49 ], [ 53, 37, 58 ], [ 53, 38, 54 ], [ 53, 39, 41 ], [ 53, 40, 27 ], [ 53, 41, 0 ], [ 53, 42, 4 ], [ 53, 43, 23 ], [ 53, 44, 25 ], [ 53, 45, 22 ], [ 53, 46, 31 ], [ 53, 47, 44 ], [ 53, 48, 58 ], [ 53, 49, 49 ], [ 53, 50, 54 ], [ 53, 51, 27 ], [ 53, 52, 41 ], [ 53, 53, 0 ], [ 53, 54, 23 ], [ 53, 55, 4 ], [ 53, 56, 25 ], [ 53, 57, 38 ], [ 53, 58, 21 ], [ 53, 59, 6 ], [ 54, 0, 0 ], [ 54, 1, 20 ], [ 54, 2, 36 ], [ 54, 3, 25 ], [ 54, 4, 19 ], [ 54, 5, 46 ], [ 54, 6, 28 ], [ 54, 7, 9 ], [ 54, 8, 38 ], [ 54, 9, 32 ], [ 54, 10, 1 ], [ 54, 11, 22 ], [ 54, 12, 38 ], [ 54, 13, 1 ], [ 54, 14, 19 ], [ 54, 15, 9 ], [ 54, 16, 28 ], [ 54, 17, 20 ], [ 54, 18, 22 ], [ 54, 19, 36 ], [ 54, 20, 32 ], [ 54, 21, 46 ], [ 54, 22, 25 ], [ 54, 23, 0 ], [ 54, 24, 22 ], [ 54, 25, 36 ], [ 54, 26, 28 ], [ 54, 27, 32 ], [ 54, 28, 46 ], [ 54, 29, 1 ], [ 54, 30, 20 ], [ 54, 31, 0 ], [ 54, 32, 25 ], [ 54, 33, 38 ], [ 54, 34, 19 ], [ 54, 35, 9 ], [ 54, 36, 46 ], [ 54, 37, 32 ], [ 54, 38, 0 ], [ 54, 39, 25 ], [ 54, 40, 19 ], [ 54, 41, 9 ], [ 54, 42, 1 ], [ 54, 43, 38 ], [ 54, 44, 22 ], [ 54, 45, 36 ], [ 54, 46, 20 ], [ 54, 47, 28 ], [ 54, 48, 9 ], [ 54, 49, 20 ], [ 54, 50, 25 ], [ 54, 51, 28 ], [ 54, 52, 22 ], [ 54, 53, 38 ], [ 54, 54, 0 ], [ 54, 55, 36 ], [ 54, 56, 32 ], [ 54, 57, 19 ], [ 54, 58, 1 ], [ 54, 59, 46 ], [ 55, 0, 0 ], [ 55, 1, 20 ], [ 55, 2, 36 ], [ 55, 3, 40 ], [ 55, 4, 4 ], [ 55, 5, 33 ], [ 55, 6, 6 ], [ 55, 7, 35 ], [ 55, 8, 17 ], [ 55, 9, 14 ], [ 55, 10, 42 ], [ 55, 11, 34 ], [ 55, 12, 20 ], [ 55, 13, 36 ], [ 55, 14, 0 ], [ 55, 15, 14 ], [ 55, 16, 35 ], [ 55, 17, 57 ], [ 55, 18, 40 ], [ 55, 19, 50 ], [ 55, 20, 34 ], [ 55, 21, 6 ], [ 55, 22, 33 ], [ 55, 23, 52 ], [ 55, 24, 33 ], [ 55, 25, 40 ], [ 55, 26, 4 ], [ 55, 27, 35 ], [ 55, 28, 57 ], [ 55, 29, 14 ], [ 55, 30, 42 ], [ 55, 31, 20 ], [ 55, 32, 52 ], [ 55, 33, 0 ], [ 55, 34, 50 ], [ 55, 35, 17 ], [ 55, 36, 35 ], [ 55, 37, 17 ], [ 55, 38, 6 ], [ 55, 39, 34 ], [ 55, 40, 40 ], [ 55, 41, 50 ], [ 55, 42, 20 ], [ 55, 43, 52 ], [ 55, 44, 42 ], [ 55, 45, 4 ], [ 55, 46, 36 ], [ 55, 47, 57 ], [ 55, 48, 34 ], [ 55, 49, 14 ], [ 55, 50, 42 ], [ 55, 51, 33 ], [ 55, 52, 52 ], [ 55, 53, 6 ], [ 55, 54, 17 ], [ 55, 55, 0 ], [ 55, 56, 50 ], [ 55, 57, 36 ], [ 55, 58, 57 ], [ 55, 59, 4 ], [ 56, 0, 0 ], [ 56, 1, 20 ], [ 56, 2, 36 ], [ 56, 3, 18 ], [ 56, 4, 24 ], [ 56, 5, 10 ], [ 56, 6, 37 ], [ 56, 7, 21 ], [ 56, 8, 29 ], [ 56, 9, 2 ], [ 56, 10, 31 ], [ 56, 11, 45 ], [ 56, 12, 2 ], [ 56, 13, 18 ], [ 56, 14, 37 ], [ 56, 15, 36 ], [ 56, 16, 29 ], [ 56, 17, 21 ], [ 56, 18, 0 ], [ 56, 19, 45 ], [ 56, 20, 31 ], [ 56, 21, 20 ], [ 56, 22, 24 ], [ 56, 23, 10 ], [ 56, 24, 21 ], [ 56, 25, 31 ], [ 56, 26, 0 ], [ 56, 27, 24 ], [ 56, 28, 2 ], [ 56, 29, 45 ], [ 56, 30, 10 ], [ 56, 31, 36 ], [ 56, 32, 20 ], [ 56, 33, 18 ], [ 56, 34, 29 ], [ 56, 35, 37 ], [ 56, 36, 45 ], [ 56, 37, 20 ], [ 56, 38, 24 ], [ 56, 39, 29 ], [ 56, 40, 10 ], [ 56, 41, 18 ], [ 56, 42, 37 ], [ 56, 43, 31 ], [ 56, 44, 2 ], [ 56, 45, 21 ], [ 56, 46, 0 ], [ 56, 47, 36 ], [ 56, 48, 10 ], [ 56, 49, 29 ], [ 56, 50, 36 ], [ 56, 51, 31 ], [ 56, 52, 37 ], [ 56, 53, 21 ], [ 56, 54, 45 ], [ 56, 55, 20 ], [ 56, 56, 0 ], [ 56, 57, 2 ], [ 56, 58, 24 ], [ 56, 59, 18 ], [ 57, 0, 0 ], [ 57, 1, 26 ], [ 57, 2, 16 ], [ 57, 3, 40 ], [ 57, 4, 24 ], [ 57, 5, 23 ], [ 57, 6, 37 ], [ 57, 7, 9 ], [ 57, 8, 17 ], [ 57, 9, 44 ], [ 57, 10, 1 ], [ 57, 11, 34 ], [ 57, 12, 24 ], [ 57, 13, 17 ], [ 57, 14, 1 ], [ 57, 15, 34 ], [ 57, 16, 44 ], [ 57, 17, 0 ], [ 57, 18, 23 ], [ 57, 19, 26 ], [ 57, 20, 40 ], [ 57, 21, 9 ], [ 57, 22, 37 ], [ 57, 23, 16 ], [ 57, 24, 16 ], [ 57, 25, 37 ], [ 57, 26, 34 ], [ 57, 27, 17 ], [ 57, 28, 40 ], [ 57, 29, 9 ], [ 57, 30, 44 ], [ 57, 31, 1 ], [ 57, 32, 24 ], [ 57, 33, 26 ], [ 57, 34, 23 ], [ 57, 35, 0 ], [ 57, 36, 0 ], [ 57, 37, 23 ], [ 57, 38, 44 ], [ 57, 39, 1 ], [ 57, 40, 34 ], [ 57, 41, 37 ], [ 57, 42, 16 ], [ 57, 43, 9 ], [ 57, 44, 26 ], [ 57, 45, 40 ], [ 57, 46, 24 ], [ 57, 47, 17 ], [ 57, 48, 26 ], [ 57, 49, 40 ], [ 57, 50, 9 ], [ 57, 51, 24 ], [ 57, 52, 44 ], [ 57, 53, 23 ], [ 57, 54, 37 ], [ 57, 55, 17 ], [ 57, 56, 1 ], [ 57, 57, 0 ], [ 57, 58, 34 ], [ 57, 59, 16 ], [ 58, 0, 0 ], [ 58, 1, 26 ], [ 58, 2, 16 ], [ 58, 3, 25 ], [ 58, 4, 39 ], [ 58, 5, 10 ], [ 58, 6, 15 ], [ 58, 7, 35 ], [ 58, 8, 38 ], [ 58, 9, 2 ], [ 58, 10, 42 ], [ 58, 11, 22 ], [ 58, 12, 15 ], [ 58, 13, 2 ], [ 58, 14, 25 ], [ 58, 15, 26 ], [ 58, 16, 42 ], [ 58, 17, 22 ], [ 58, 18, 16 ], [ 58, 19, 10 ], [ 58, 20, 39 ], [ 58, 21, 0 ], [ 58, 22, 38 ], [ 58, 23, 35 ], [ 58, 24, 42 ], [ 58, 25, 0 ], [ 58, 26, 35 ], [ 58, 27, 10 ], [ 58, 28, 38 ], [ 58, 29, 15 ], [ 58, 30, 25 ], [ 58, 31, 22 ], [ 58, 32, 2 ], [ 58, 33, 39 ], [ 58, 34, 26 ], [ 58, 35, 16 ], [ 58, 36, 39 ], [ 58, 37, 22 ], [ 58, 38, 26 ], [ 58, 39, 35 ], [ 58, 40, 2 ], [ 58, 41, 42 ], [ 58, 42, 38 ], [ 58, 43, 16 ], [ 58, 44, 0 ], [ 58, 45, 15 ], [ 58, 46, 10 ], [ 58, 47, 25 ], [ 58, 48, 38 ], [ 58, 49, 16 ], [ 58, 50, 10 ], [ 58, 51, 22 ], [ 58, 52, 39 ], [ 58, 53, 25 ], [ 58, 54, 2 ], [ 58, 55, 35 ], [ 58, 56, 15 ], [ 58, 57, 42 ], [ 58, 58, 0 ], [ 58, 59, 26 ], [ 59, 0, 0 ], [ 59, 1, 26 ], [ 59, 2, 16 ], [ 59, 3, 18 ], [ 59, 4, 4 ], [ 59, 5, 46 ], [ 59, 6, 6 ], [ 59, 7, 47 ], [ 59, 8, 29 ], [ 59, 9, 32 ], [ 59, 10, 12 ], [ 59, 11, 45 ], [ 59, 12, 0 ], [ 59, 13, 26 ], [ 59, 14, 16 ], [ 59, 15, 48 ], [ 59, 16, 45 ], [ 59, 17, 29 ], [ 59, 18, 56 ], [ 59, 19, 12 ], [ 59, 20, 46 ], [ 59, 21, 51 ], [ 59, 22, 47 ], [ 59, 23, 4 ], [ 59, 24, 18 ], [ 59, 25, 4 ], [ 59, 26, 46 ], [ 59, 27, 48 ], [ 59, 28, 45 ], [ 59, 29, 29 ], [ 59, 30, 51 ], [ 59, 31, 32 ], [ 59, 32, 16 ], [ 59, 33, 56 ], [ 59, 34, 6 ], [ 59, 35, 26 ], [ 59, 36, 6 ], [ 59, 37, 47 ], [ 59, 38, 29 ], [ 59, 39, 56 ], [ 59, 40, 12 ], [ 59, 41, 46 ], [ 59, 42, 51 ], [ 59, 43, 32 ], [ 59, 44, 16 ], [ 59, 45, 48 ], [ 59, 46, 18 ], [ 59, 47, 0 ], [ 59, 48, 32 ], [ 59, 49, 12 ], [ 59, 50, 45 ], [ 59, 51, 51 ], [ 59, 52, 47 ], [ 59, 53, 4 ], [ 59, 54, 56 ], [ 59, 55, 6 ], [ 59, 56, 26 ], [ 59, 57, 48 ], [ 59, 58, 18 ], [ 59, 59, 0 ] ], "generators": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "next": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "words": { "0": [], "1": [ 1 ], "2": [ 2 ], "3": [ 3 ], "4": [ 4 ], "5": [ 5 ], "6": [ 6 ], "7": [ 7 ], "8": [ 8 ], "9": [ 9 ], "10": [ 10 ], "11": [ 11 ], "12": [ 12 ], "13": [ 13 ], "14": [ 14 ], "15": [ 15 ], "16": [ 16 ], "17": [ 17 ], "18": [ 18 ], "19": [ 19 ], "20": [ 20 ], "21": [ 21 ], "22": [ 22 ], "23": [ 23 ], "24": [ 24 ], "25": [ 25 ], "26": [ 26 ], "27": [ 27 ], "28": [ 28 ], "29": [ 29 ], "30": [ 30 ], "31": [ 31 ], "32": [ 32 ], "33": [ 33 ], "34": [ 34 ], "35": [ 35 ], "36": [ 36 ], "37": [ 37 ], "38": [ 38 ], "39": [ 39 ], "40": [ 40 ], "41": [ 41 ], "42": [ 42 ], "43": [ 43 ], "44": [ 44 ], "45": [ 45 ], "46": [ 46 ], "47": [ 47 ], "48": [ 48 ], "49": [ 49 ], "50": [ 50 ], "51": [ 51 ], "52": [ 52 ], "53": [ 53 ], "54": [ 54 ], "55": [ 55 ], "56": [ 56 ], "57": [ 57 ], "58": [ 58 ], "59": [ 59 ] } } ], "solvable": false, "affine": false }, { "id": "S5", "order": 120, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 2, 4, 3 ], [ 0, 1, 3, 2, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 1, 4, 3, 2 ], [ 0, 2, 1, 3, 4 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 3, 4, 1 ], [ 0, 2, 4, 1, 3 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 1, 4, 2 ], [ 0, 3, 2, 1, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 3, 4, 2, 1 ], [ 0, 4, 1, 2, 3 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 2, 3, 1 ], [ 0, 4, 3, 1, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 3, 4 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 3, 4, 2 ], [ 1, 0, 4, 2, 3 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 0, 4, 3 ], [ 1, 2, 3, 0, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 2, 4, 3, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 2, 4, 0 ], [ 1, 3, 4, 0, 2 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 0, 3, 2 ], [ 1, 4, 2, 0, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 1, 4, 3, 2, 0 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 1, 4, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 0, 4, 3, 1 ], [ 2, 1, 0, 3, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 3, 4, 0 ], [ 2, 1, 4, 0, 3 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 0, 4, 1 ], [ 2, 3, 1, 0, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 3, 4, 1, 0 ], [ 2, 4, 0, 1, 3 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 1, 3, 0 ], [ 2, 4, 3, 0, 1 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 2, 4 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 2, 4, 1 ], [ 3, 0, 4, 1, 2 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 0, 4, 2 ], [ 3, 1, 2, 0, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 0, 1, 4 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 1, 4, 0 ], [ 3, 2, 4, 0, 1 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 0, 2, 1 ], [ 3, 4, 1, 0, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 3, 4, 2, 1, 0 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 1, 3, 2 ], [ 4, 0, 2, 1, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 0, 3, 2, 1 ], [ 4, 1, 0, 2, 3 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 2, 3, 0 ], [ 4, 1, 3, 0, 2 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 0, 3, 1 ], [ 4, 2, 1, 0, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 2, 3, 1, 0 ], [ 4, 3, 0, 1, 2 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 1, 2, 0 ], [ 4, 3, 2, 0, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(4 5)", "(3 4)", "(3 4 5)", "(3 5 4)", "(3 5)", "(2 3)", "(2 3)(4 5)", "(2 3 4)", "(2 3 4 5)", "(2 3 5 4)", "(2 3 5)", "(2 4 3)", "(2 4 5 3)", "(2 4)", "(2 4 5)", "(2 4)(3 5)", "(2 4 3 5)", "(2 5 4 3)", "(2 5 3)", "(2 5 4)", "(2 5)", "(2 5 3 4)", "(2 5)(3 4)", "(1 2)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 4 5)", "(1 2)(3 5 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3)(4 5)", "(1 2 3 4)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 3 5)", "(1 2 4 3)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 5)", "(1 2 4)(3 5)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5 3)", "(1 2 5 4)", "(1 2 5)", "(1 2 5 3 4)", "(1 2 5)(3 4)", "(1 3 2)", "(1 3 2)(4 5)", "(1 3 4 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3 5 2)", "(1 3)", "(1 3)(4 5)", "(1 3 4)", "(1 3 4 5)", "(1 3 5 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3)(2 4 5)", "(1 3 2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3 5)(2 4)", "(1 3)(2 5 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 2 5)", "(1 3 4)(2 5)", "(1 3 4 2 5)", "(1 4 3 2)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 5 2)", "(1 4 2)(3 5)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5 3)", "(1 4)", "(1 4 5)", "(1 4)(3 5)", "(1 4 3 5)", "(1 4 2 3)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 5)(2 3)", "(1 4)(2 3 5)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3)(2 5)", "(1 4)(2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 4 2 5)", "(1 5 4 3 2)", "(1 5 3 2)", "(1 5 4 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 2)(3 4)", "(1 5 4 3)", "(1 5 3)", "(1 5 4)", "(1 5)", "(1 5 3 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5 2 3)", "(1 5 4)(2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5)(2 3 4)", "(1 5 3)(2 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4 3)", "(1 5 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], [ 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 ], [ 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113 ], [ 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71 ], [ 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89 ], [ 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65 ], [ 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117 ], [ 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93 ], [ 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107 ], [ 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 ], [ 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83 ], [ 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41 ], [ 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111 ], [ 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69 ], [ 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105 ], [ 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45 ], [ 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59 ], [ 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35 ], [ 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87 ], [ 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63 ], [ 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81 ], [ 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39 ], [ 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57 ], [ 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118 ], [ 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94 ], [ 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112 ], [ 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70 ], [ 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88 ], [ 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64 ], [ 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115 ], [ 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91 ], [ 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101 ], [ 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 ], [ 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77 ], [ 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17 ], [ 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109 ], [ 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67 ], [ 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99 ], [ 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21 ], [ 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53 ], [ 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11 ], [ 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85 ], [ 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61 ], [ 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75 ], [ 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15 ], [ 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51 ], [ 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116 ], [ 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92 ], [ 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106 ], [ 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46 ], [ 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82 ], [ 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40 ], [ 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114 ], [ 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90 ], [ 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100 ], [ 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22 ], [ 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76 ], [ 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16 ], [ 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103 ], [ 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43 ], [ 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97 ], [ 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19 ], [ 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29 ], [ 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5 ], [ 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79 ], [ 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37 ], [ 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73 ], [ 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13 ], [ 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27 ], [ 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3 ], [ 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110 ], [ 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68 ], [ 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104 ], [ 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44 ], [ 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58 ], [ 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34 ], [ 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108 ], [ 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66 ], [ 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98 ], [ 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20 ], [ 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52 ], [ 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10 ], [ 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102 ], [ 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42 ], [ 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96 ], [ 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18 ], [ 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28 ], [ 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4 ], [ 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55 ], [ 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31 ], [ 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49 ], [ 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7 ], [ 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25 ], [ 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1 ], [ 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86 ], [ 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62 ], [ 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80 ], [ 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38 ], [ 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56 ], [ 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32 ], [ 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84 ], [ 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60 ], [ 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74 ], [ 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14 ], [ 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50 ], [ 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8 ], [ 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78 ], [ 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36 ], [ 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72 ], [ 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12 ], [ 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26 ], [ 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2 ], [ 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54 ], [ 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30 ], [ 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6 ], [ 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 4, 3, 5, 6, 7, 12, 18, 13, 19, 8, 10, 14, 20, 16, 22, 9, 11, 15, 21, 17, 23, 24, 25, 26, 28, 27, 29, 48, 49, 72, 96, 73, 97, 50, 52, 74, 98, 76, 100, 51, 53, 75, 99, 77, 101, 30, 31, 36, 42, 37, 43, 54, 55, 78, 102, 79, 103, 60, 66, 84, 108, 90, 114, 61, 67, 85, 109, 91, 115, 32, 34, 38, 44, 40, 46, 56, 58, 80, 104, 82, 106, 62, 68, 86, 110, 92, 116, 64, 70, 88, 112, 94, 118, 33, 35, 39, 45, 41, 47, 57, 59, 81, 105, 83, 107, 63, 69, 87, 111, 93, 117, 65, 71, 89, 113, 95, 119 ], "cycleTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,1,2", "1,1,3", "1,1,3", "1,1,1,2", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "1,1,1,2", "1,2,2", "1,2,2", "2,3", "2,3", "1,2,2", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,2,2", "2,3", "1,4", "5", "5", "2,3", "2,3", "1,2,2", "5", "1,4", "2,3", "5", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "5", "1,2,2", "2,3", "2,3", "5", "5", "2,3", "2,3", "5", "1,2,2", "1,4", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "5", "1,4", "2,3", "1,2,2", "5", "2,3", "2,3", "5", "5", "2,3", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "2,3", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 61, 0 ], [ 0, 62, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 65, 0 ], [ 0, 66, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 69, 0 ], [ 0, 70, 0 ], [ 0, 71, 0 ], [ 0, 72, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 75, 0 ], [ 0, 76, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 79, 0 ], [ 0, 80, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 83, 0 ], [ 0, 84, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 87, 0 ], [ 0, 88, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 91, 0 ], [ 0, 92, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 95, 0 ], [ 0, 96, 0 ], [ 0, 97, 0 ], [ 0, 98, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 101, 0 ], [ 0, 102, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 105, 0 ], [ 0, 106, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 109, 0 ], [ 0, 110, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 113, 0 ], [ 0, 114, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 117, 0 ], [ 0, 118, 0 ], [ 0, 119, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 3 ], [ 1, 3, 3 ], [ 1, 4, 4 ], [ 1, 5, 4 ], [ 1, 6, 0 ], [ 1, 7, 0 ], [ 1, 8, 15 ], [ 1, 9, 15 ], [ 1, 10, 20 ], [ 1, 11, 20 ], [ 1, 12, 3 ], [ 1, 13, 3 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 7 ], [ 1, 17, 7 ], [ 1, 18, 4 ], [ 1, 19, 4 ], [ 1, 20, 20 ], [ 1, 21, 20 ], [ 1, 22, 7 ], [ 1, 23, 7 ], [ 1, 24, 0 ], [ 1, 25, 0 ], [ 1, 26, 3 ], [ 1, 27, 3 ], [ 1, 28, 4 ], [ 1, 29, 4 ], [ 1, 30, 0 ], [ 1, 31, 0 ], [ 1, 32, 81 ], [ 1, 33, 81 ], [ 1, 34, 104 ], [ 1, 35, 104 ], [ 1, 36, 3 ], [ 1, 37, 3 ], [ 1, 38, 81 ], [ 1, 39, 81 ], [ 1, 40, 55 ], [ 1, 41, 55 ], [ 1, 42, 4 ], [ 1, 43, 4 ], [ 1, 44, 104 ], [ 1, 45, 104 ], [ 1, 46, 55 ], [ 1, 47, 55 ], [ 1, 48, 0 ], [ 1, 49, 0 ], [ 1, 50, 15 ], [ 1, 51, 15 ], [ 1, 52, 20 ], [ 1, 53, 20 ], [ 1, 54, 0 ], [ 1, 55, 0 ], [ 1, 56, 81 ], [ 1, 57, 81 ], [ 1, 58, 104 ], [ 1, 59, 104 ], [ 1, 60, 15 ], [ 1, 61, 15 ], [ 1, 62, 81 ], [ 1, 63, 81 ], [ 1, 64, 25 ], [ 1, 65, 25 ], [ 1, 66, 20 ], [ 1, 67, 20 ], [ 1, 68, 104 ], [ 1, 69, 104 ], [ 1, 70, 25 ], [ 1, 71, 25 ], [ 1, 72, 3 ], [ 1, 73, 3 ], [ 1, 74, 15 ], [ 1, 75, 15 ], [ 1, 76, 7 ], [ 1, 77, 7 ], [ 1, 78, 3 ], [ 1, 79, 3 ], [ 1, 80, 81 ], [ 1, 81, 81 ], [ 1, 82, 55 ], [ 1, 83, 55 ], [ 1, 84, 15 ], [ 1, 85, 15 ], [ 1, 86, 81 ], [ 1, 87, 81 ], [ 1, 88, 25 ], [ 1, 89, 25 ], [ 1, 90, 7 ], [ 1, 91, 7 ], [ 1, 92, 55 ], [ 1, 93, 55 ], [ 1, 94, 25 ], [ 1, 95, 25 ], [ 1, 96, 4 ], [ 1, 97, 4 ], [ 1, 98, 20 ], [ 1, 99, 20 ], [ 1, 100, 7 ], [ 1, 101, 7 ], [ 1, 102, 4 ], [ 1, 103, 4 ], [ 1, 104, 104 ], [ 1, 105, 104 ], [ 1, 106, 55 ], [ 1, 107, 55 ], [ 1, 108, 20 ], [ 1, 109, 20 ], [ 1, 110, 104 ], [ 1, 111, 104 ], [ 1, 112, 25 ], [ 1, 113, 25 ], [ 1, 114, 7 ], [ 1, 115, 7 ], [ 1, 116, 55 ], [ 1, 117, 55 ], [ 1, 118, 25 ], [ 1, 119, 25 ], [ 2, 0, 0 ], [ 2, 1, 4 ], [ 2, 2, 0 ], [ 2, 3, 3 ], [ 2, 4, 4 ], [ 2, 5, 3 ], [ 2, 6, 8 ], [ 2, 7, 23 ], [ 2, 8, 8 ], [ 2, 9, 3 ], [ 2, 10, 23 ], [ 2, 11, 3 ], [ 2, 12, 12 ], [ 2, 13, 23 ], [ 2, 14, 12 ], [ 2, 15, 4 ], [ 2, 16, 23 ], [ 2, 17, 4 ], [ 2, 18, 12 ], [ 2, 19, 8 ], [ 2, 20, 12 ], [ 2, 21, 0 ], [ 2, 22, 8 ], [ 2, 23, 0 ], [ 2, 24, 0 ], [ 2, 25, 4 ], [ 2, 26, 0 ], [ 2, 27, 3 ], [ 2, 28, 4 ], [ 2, 29, 3 ], [ 2, 30, 56 ], [ 2, 31, 107 ], [ 2, 32, 56 ], [ 2, 33, 3 ], [ 2, 34, 107 ], [ 2, 35, 3 ], [ 2, 36, 78 ], [ 2, 37, 107 ], [ 2, 38, 78 ], [ 2, 39, 4 ], [ 2, 40, 107 ], [ 2, 41, 4 ], [ 2, 42, 78 ], [ 2, 43, 56 ], [ 2, 44, 78 ], [ 2, 45, 0 ], [ 2, 46, 56 ], [ 2, 47, 0 ], [ 2, 48, 8 ], [ 2, 49, 23 ], [ 2, 50, 8 ], [ 2, 51, 3 ], [ 2, 52, 23 ], [ 2, 53, 3 ], [ 2, 54, 56 ], [ 2, 55, 107 ], [ 2, 56, 56 ], [ 2, 57, 3 ], [ 2, 58, 107 ], [ 2, 59, 3 ], [ 2, 60, 26 ], [ 2, 61, 107 ], [ 2, 62, 26 ], [ 2, 63, 23 ], [ 2, 64, 107 ], [ 2, 65, 23 ], [ 2, 66, 26 ], [ 2, 67, 56 ], [ 2, 68, 26 ], [ 2, 69, 8 ], [ 2, 70, 56 ], [ 2, 71, 8 ], [ 2, 72, 12 ], [ 2, 73, 23 ], [ 2, 74, 12 ], [ 2, 75, 4 ], [ 2, 76, 23 ], [ 2, 77, 4 ], [ 2, 78, 78 ], [ 2, 79, 107 ], [ 2, 80, 78 ], [ 2, 81, 4 ], [ 2, 82, 107 ], [ 2, 83, 4 ], [ 2, 84, 26 ], [ 2, 85, 107 ], [ 2, 86, 26 ], [ 2, 87, 23 ], [ 2, 88, 107 ], [ 2, 89, 23 ], [ 2, 90, 26 ], [ 2, 91, 78 ], [ 2, 92, 26 ], [ 2, 93, 12 ], [ 2, 94, 78 ], [ 2, 95, 12 ], [ 2, 96, 12 ], [ 2, 97, 8 ], [ 2, 98, 12 ], [ 2, 99, 0 ], [ 2, 100, 8 ], [ 2, 101, 0 ], [ 2, 102, 78 ], [ 2, 103, 56 ], [ 2, 104, 78 ], [ 2, 105, 0 ], [ 2, 106, 56 ], [ 2, 107, 0 ], [ 2, 108, 26 ], [ 2, 109, 56 ], [ 2, 110, 26 ], [ 2, 111, 8 ], [ 2, 112, 56 ], [ 2, 113, 8 ], [ 2, 114, 26 ], [ 2, 115, 78 ], [ 2, 116, 26 ], [ 2, 117, 12 ], [ 2, 118, 78 ], [ 2, 119, 12 ], [ 3, 0, 0 ], [ 3, 1, 4 ], [ 3, 2, 4 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 5, 4 ], [ 3, 6, 8 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 9, 8 ], [ 3, 10, 8 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 13, 15 ], [ 3, 14, 15 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 17, 15 ], [ 3, 18, 19 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 21, 19 ], [ 3, 22, 19 ], [ 3, 23, 16 ], [ 3, 24, 0 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 27, 0 ], [ 3, 28, 0 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 31, 107 ], [ 3, 32, 107 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 35, 107 ], [ 3, 36, 55 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 39, 55 ], [ 3, 40, 55 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 43, 82 ], [ 3, 44, 82 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 47, 82 ], [ 3, 48, 8 ], [ 3, 49, 23 ], [ 3, 50, 23 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 53, 23 ], [ 3, 54, 56 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 57, 56 ], [ 3, 58, 56 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 61, 33 ], [ 3, 62, 33 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 65, 33 ], [ 3, 66, 100 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 69, 100 ], [ 3, 70, 100 ], [ 3, 71, 46 ], [ 3, 72, 7 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 75, 7 ], [ 3, 76, 7 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 79, 81 ], [ 3, 80, 81 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 83, 81 ], [ 3, 84, 51 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 87, 51 ], [ 3, 88, 51 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 91, 37 ], [ 3, 92, 37 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 95, 37 ], [ 3, 96, 19 ], [ 3, 97, 16 ], [ 3, 98, 16 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 101, 16 ], [ 3, 102, 103 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 105, 103 ], [ 3, 106, 103 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 109, 46 ], [ 3, 110, 46 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 113, 46 ], [ 3, 114, 73 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 117, 73 ], [ 3, 118, 73 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 1, 3 ], [ 4, 2, 3 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 11 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 9, 11 ], [ 4, 10, 11 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 13, 12 ], [ 4, 14, 12 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 17, 12 ], [ 4, 18, 20 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 21, 20 ], [ 4, 22, 20 ], [ 4, 23, 7 ], [ 4, 24, 0 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 27, 0 ], [ 4, 28, 0 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 31, 82 ], [ 4, 32, 82 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 35, 82 ], [ 4, 36, 107 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 39, 107 ], [ 4, 40, 107 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 43, 55 ], [ 4, 44, 55 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 47, 55 ], [ 4, 48, 11 ], [ 4, 49, 16 ], [ 4, 50, 16 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 53, 16 ], [ 4, 54, 59 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 57, 59 ], [ 4, 58, 59 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 61, 77 ], [ 4, 62, 77 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 65, 77 ], [ 4, 66, 34 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 69, 34 ], [ 4, 70, 34 ], [ 4, 71, 52 ], [ 4, 72, 23 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 75, 23 ], [ 4, 76, 23 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 79, 78 ], [ 4, 80, 78 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 83, 78 ], [ 4, 84, 41 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 87, 41 ], [ 4, 88, 41 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 91, 96 ], [ 4, 92, 96 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 95, 96 ], [ 4, 96, 20 ], [ 4, 97, 7 ], [ 4, 98, 7 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 101, 7 ], [ 4, 102, 104 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 105, 104 ], [ 4, 106, 104 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 109, 52 ], [ 4, 110, 52 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 113, 52 ], [ 4, 114, 42 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 117, 42 ], [ 4, 118, 42 ], [ 4, 119, 96 ], [ 5, 0, 0 ], [ 5, 1, 3 ], [ 5, 2, 4 ], [ 5, 3, 3 ], [ 5, 4, 4 ], [ 5, 5, 0 ], [ 5, 6, 11 ], [ 5, 7, 16 ], [ 5, 8, 4 ], [ 5, 9, 16 ], [ 5, 10, 4 ], [ 5, 11, 11 ], [ 5, 12, 11 ], [ 5, 13, 19 ], [ 5, 14, 0 ], [ 5, 15, 19 ], [ 5, 16, 0 ], [ 5, 17, 11 ], [ 5, 18, 16 ], [ 5, 19, 19 ], [ 5, 20, 3 ], [ 5, 21, 19 ], [ 5, 22, 3 ], [ 5, 23, 16 ], [ 5, 24, 0 ], [ 5, 25, 3 ], [ 5, 26, 4 ], [ 5, 27, 3 ], [ 5, 28, 4 ], [ 5, 29, 0 ], [ 5, 30, 59 ], [ 5, 31, 82 ], [ 5, 32, 4 ], [ 5, 33, 82 ], [ 5, 34, 4 ], [ 5, 35, 59 ], [ 5, 36, 59 ], [ 5, 37, 103 ], [ 5, 38, 0 ], [ 5, 39, 103 ], [ 5, 40, 0 ], [ 5, 41, 59 ], [ 5, 42, 82 ], [ 5, 43, 103 ], [ 5, 44, 3 ], [ 5, 45, 103 ], [ 5, 46, 3 ], [ 5, 47, 82 ], [ 5, 48, 11 ], [ 5, 49, 16 ], [ 5, 50, 4 ], [ 5, 51, 16 ], [ 5, 52, 4 ], [ 5, 53, 11 ], [ 5, 54, 59 ], [ 5, 55, 82 ], [ 5, 56, 4 ], [ 5, 57, 82 ], [ 5, 58, 4 ], [ 5, 59, 59 ], [ 5, 60, 59 ], [ 5, 61, 29 ], [ 5, 62, 11 ], [ 5, 63, 29 ], [ 5, 64, 11 ], [ 5, 65, 59 ], [ 5, 66, 82 ], [ 5, 67, 29 ], [ 5, 68, 16 ], [ 5, 69, 29 ], [ 5, 70, 16 ], [ 5, 71, 82 ], [ 5, 72, 11 ], [ 5, 73, 19 ], [ 5, 74, 0 ], [ 5, 75, 19 ], [ 5, 76, 0 ], [ 5, 77, 11 ], [ 5, 78, 59 ], [ 5, 79, 103 ], [ 5, 80, 0 ], [ 5, 81, 103 ], [ 5, 82, 0 ], [ 5, 83, 59 ], [ 5, 84, 59 ], [ 5, 85, 29 ], [ 5, 86, 11 ], [ 5, 87, 29 ], [ 5, 88, 11 ], [ 5, 89, 59 ], [ 5, 90, 103 ], [ 5, 91, 29 ], [ 5, 92, 19 ], [ 5, 93, 29 ], [ 5, 94, 19 ], [ 5, 95, 103 ], [ 5, 96, 16 ], [ 5, 97, 19 ], [ 5, 98, 3 ], [ 5, 99, 19 ], [ 5, 100, 3 ], [ 5, 101, 16 ], [ 5, 102, 82 ], [ 5, 103, 103 ], [ 5, 104, 3 ], [ 5, 105, 103 ], [ 5, 106, 3 ], [ 5, 107, 82 ], [ 5, 108, 82 ], [ 5, 109, 29 ], [ 5, 110, 16 ], [ 5, 111, 29 ], [ 5, 112, 16 ], [ 5, 113, 82 ], [ 5, 114, 103 ], [ 5, 115, 29 ], [ 5, 116, 19 ], [ 5, 117, 29 ], [ 5, 118, 19 ], [ 5, 119, 103 ], [ 6, 0, 0 ], [ 6, 1, 0 ], [ 6, 2, 12 ], [ 6, 3, 12 ], [ 6, 4, 19 ], [ 6, 5, 19 ], [ 6, 6, 0 ], [ 6, 7, 0 ], [ 6, 8, 8 ], [ 6, 9, 8 ], [ 6, 10, 11 ], [ 6, 11, 11 ], [ 6, 12, 12 ], [ 6, 13, 12 ], [ 6, 14, 8 ], [ 6, 15, 8 ], [ 6, 16, 7 ], [ 6, 17, 7 ], [ 6, 18, 19 ], [ 6, 19, 19 ], [ 6, 20, 11 ], [ 6, 21, 11 ], [ 6, 22, 7 ], [ 6, 23, 7 ], [ 6, 24, 30 ], [ 6, 25, 30 ], [ 6, 26, 86 ], [ 6, 27, 86 ], [ 6, 28, 111 ], [ 6, 29, 111 ], [ 6, 30, 30 ], [ 6, 31, 30 ], [ 6, 32, 8 ], [ 6, 33, 8 ], [ 6, 34, 11 ], [ 6, 35, 11 ], [ 6, 36, 86 ], [ 6, 37, 86 ], [ 6, 38, 8 ], [ 6, 39, 8 ], [ 6, 40, 7 ], [ 6, 41, 7 ], [ 6, 42, 111 ], [ 6, 43, 111 ], [ 6, 44, 11 ], [ 6, 45, 11 ], [ 6, 46, 7 ], [ 6, 47, 7 ], [ 6, 48, 48 ], [ 6, 49, 48 ], [ 6, 50, 86 ], [ 6, 51, 86 ], [ 6, 52, 111 ], [ 6, 53, 111 ], [ 6, 54, 48 ], [ 6, 55, 48 ], [ 6, 56, 12 ], [ 6, 57, 12 ], [ 6, 58, 19 ], [ 6, 59, 19 ], [ 6, 60, 86 ], [ 6, 61, 86 ], [ 6, 62, 12 ], [ 6, 63, 12 ], [ 6, 64, 7 ], [ 6, 65, 7 ], [ 6, 66, 111 ], [ 6, 67, 111 ], [ 6, 68, 19 ], [ 6, 69, 19 ], [ 6, 70, 7 ], [ 6, 71, 7 ], [ 6, 72, 48 ], [ 6, 73, 48 ], [ 6, 74, 30 ], [ 6, 75, 30 ], [ 6, 76, 111 ], [ 6, 77, 111 ], [ 6, 78, 48 ], [ 6, 79, 48 ], [ 6, 80, 0 ], [ 6, 81, 0 ], [ 6, 82, 19 ], [ 6, 83, 19 ], [ 6, 84, 30 ], [ 6, 85, 30 ], [ 6, 86, 0 ], [ 6, 87, 0 ], [ 6, 88, 11 ], [ 6, 89, 11 ], [ 6, 90, 111 ], [ 6, 91, 111 ], [ 6, 92, 19 ], [ 6, 93, 19 ], [ 6, 94, 11 ], [ 6, 95, 11 ], [ 6, 96, 48 ], [ 6, 97, 48 ], [ 6, 98, 30 ], [ 6, 99, 30 ], [ 6, 100, 86 ], [ 6, 101, 86 ], [ 6, 102, 48 ], [ 6, 103, 48 ], [ 6, 104, 0 ], [ 6, 105, 0 ], [ 6, 106, 12 ], [ 6, 107, 12 ], [ 6, 108, 30 ], [ 6, 109, 30 ], [ 6, 110, 0 ], [ 6, 111, 0 ], [ 6, 112, 8 ], [ 6, 113, 8 ], [ 6, 114, 86 ], [ 6, 115, 86 ], [ 6, 116, 12 ], [ 6, 117, 12 ], [ 6, 118, 8 ], [ 6, 119, 8 ], [ 7, 0, 0 ], [ 7, 1, 0 ], [ 7, 2, 23 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 5, 16 ], [ 7, 6, 0 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 9, 16 ], [ 7, 10, 23 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 13, 23 ], [ 7, 14, 16 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 17, 0 ], [ 7, 18, 16 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 21, 23 ], [ 7, 22, 0 ], [ 7, 23, 0 ], [ 7, 24, 30 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 27, 112 ], [ 7, 28, 89 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 31, 30 ], [ 7, 32, 89 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 35, 112 ], [ 7, 36, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 39, 89 ], [ 7, 40, 30 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 43, 89 ], [ 7, 44, 112 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 47, 30 ], [ 7, 48, 48 ], [ 7, 49, 48 ], [ 7, 50, 116 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 53, 93 ], [ 7, 54, 48 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 57, 93 ], [ 7, 58, 116 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 61, 116 ], [ 7, 62, 93 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 65, 48 ], [ 7, 66, 93 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 69, 116 ], [ 7, 70, 48 ], [ 7, 71, 48 ], [ 7, 72, 51 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 75, 37 ], [ 7, 76, 81 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 79, 51 ], [ 7, 80, 81 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 83, 37 ], [ 7, 84, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 87, 81 ], [ 7, 88, 51 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 91, 81 ], [ 7, 92, 37 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 95, 51 ], [ 7, 96, 52 ], [ 7, 97, 52 ], [ 7, 98, 42 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 101, 104 ], [ 7, 102, 52 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 105, 104 ], [ 7, 106, 42 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 109, 42 ], [ 7, 110, 104 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 113, 52 ], [ 7, 114, 104 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 117, 42 ], [ 7, 118, 52 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 1, 20 ], [ 8, 2, 12 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 5, 3 ], [ 8, 6, 12 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 20 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 13, 3 ], [ 8, 14, 12 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 17, 11 ], [ 8, 18, 20 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 21, 11 ], [ 8, 22, 3 ], [ 8, 23, 7 ], [ 8, 24, 30 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 27, 112 ], [ 8, 28, 89 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 31, 89 ], [ 8, 32, 30 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 35, 7 ], [ 8, 36, 30 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 39, 7 ], [ 8, 40, 112 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 43, 112 ], [ 8, 44, 89 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 47, 7 ], [ 8, 48, 26 ], [ 8, 49, 100 ], [ 8, 50, 56 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 53, 33 ], [ 8, 54, 56 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 57, 23 ], [ 8, 58, 100 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 61, 33 ], [ 8, 62, 56 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 65, 23 ], [ 8, 66, 100 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 69, 23 ], [ 8, 70, 33 ], [ 8, 71, 3 ], [ 8, 72, 74 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 75, 108 ], [ 8, 76, 71 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 79, 71 ], [ 8, 80, 74 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 83, 16 ], [ 8, 84, 74 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 87, 16 ], [ 8, 88, 108 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 91, 108 ], [ 8, 92, 71 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 95, 16 ], [ 8, 96, 74 ], [ 8, 97, 26 ], [ 8, 98, 60 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 101, 86 ], [ 8, 102, 60 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 105, 0 ], [ 8, 106, 26 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 109, 86 ], [ 8, 110, 60 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 113, 0 ], [ 8, 114, 26 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 117, 0 ], [ 8, 118, 86 ], [ 8, 119, 12 ], [ 9, 0, 0 ], [ 9, 1, 20 ], [ 9, 2, 4 ], [ 9, 3, 12 ], [ 9, 4, 19 ], [ 9, 5, 16 ], [ 9, 6, 12 ], [ 9, 7, 16 ], [ 9, 8, 19 ], [ 9, 9, 0 ], [ 9, 10, 4 ], [ 9, 11, 20 ], [ 9, 12, 20 ], [ 9, 13, 19 ], [ 9, 14, 16 ], [ 9, 15, 4 ], [ 9, 16, 0 ], [ 9, 17, 12 ], [ 9, 18, 0 ], [ 9, 19, 4 ], [ 9, 20, 12 ], [ 9, 21, 19 ], [ 9, 22, 20 ], [ 9, 23, 16 ], [ 9, 24, 30 ], [ 9, 25, 108 ], [ 9, 26, 34 ], [ 9, 27, 86 ], [ 9, 28, 111 ], [ 9, 29, 89 ], [ 9, 30, 86 ], [ 9, 31, 89 ], [ 9, 32, 111 ], [ 9, 33, 30 ], [ 9, 34, 34 ], [ 9, 35, 108 ], [ 9, 36, 108 ], [ 9, 37, 111 ], [ 9, 38, 89 ], [ 9, 39, 34 ], [ 9, 40, 30 ], [ 9, 41, 86 ], [ 9, 42, 30 ], [ 9, 43, 34 ], [ 9, 44, 86 ], [ 9, 45, 111 ], [ 9, 46, 108 ], [ 9, 47, 89 ], [ 9, 48, 26 ], [ 9, 49, 100 ], [ 9, 50, 46 ], [ 9, 51, 56 ], [ 9, 52, 107 ], [ 9, 53, 71 ], [ 9, 54, 56 ], [ 9, 55, 71 ], [ 9, 56, 107 ], [ 9, 57, 26 ], [ 9, 58, 46 ], [ 9, 59, 100 ], [ 9, 60, 100 ], [ 9, 61, 107 ], [ 9, 62, 71 ], [ 9, 63, 46 ], [ 9, 64, 26 ], [ 9, 65, 56 ], [ 9, 66, 26 ], [ 9, 67, 46 ], [ 9, 68, 56 ], [ 9, 69, 107 ], [ 9, 70, 100 ], [ 9, 71, 71 ], [ 9, 72, 25 ], [ 9, 73, 73 ], [ 9, 74, 37 ], [ 9, 75, 55 ], [ 9, 76, 81 ], [ 9, 77, 63 ], [ 9, 78, 55 ], [ 9, 79, 63 ], [ 9, 80, 81 ], [ 9, 81, 25 ], [ 9, 82, 37 ], [ 9, 83, 73 ], [ 9, 84, 73 ], [ 9, 85, 81 ], [ 9, 86, 63 ], [ 9, 87, 37 ], [ 9, 88, 25 ], [ 9, 89, 55 ], [ 9, 90, 25 ], [ 9, 91, 37 ], [ 9, 92, 55 ], [ 9, 93, 81 ], [ 9, 94, 73 ], [ 9, 95, 63 ], [ 9, 96, 99 ], [ 9, 97, 77 ], [ 9, 98, 115 ], [ 9, 99, 67 ], [ 9, 100, 94 ], [ 9, 101, 64 ], [ 9, 102, 67 ], [ 9, 103, 64 ], [ 9, 104, 94 ], [ 9, 105, 99 ], [ 9, 106, 115 ], [ 9, 107, 77 ], [ 9, 108, 77 ], [ 9, 109, 94 ], [ 9, 110, 64 ], [ 9, 111, 115 ], [ 9, 112, 99 ], [ 9, 113, 67 ], [ 9, 114, 99 ], [ 9, 115, 115 ], [ 9, 116, 67 ], [ 9, 117, 94 ], [ 9, 118, 77 ], [ 9, 119, 64 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 23 ], [ 10, 3, 12 ], [ 10, 4, 19 ], [ 10, 5, 3 ], [ 10, 6, 19 ], [ 10, 7, 23 ], [ 10, 8, 15 ], [ 10, 9, 3 ], [ 10, 10, 0 ], [ 10, 11, 12 ], [ 10, 12, 3 ], [ 10, 13, 0 ], [ 10, 14, 12 ], [ 10, 15, 19 ], [ 10, 16, 23 ], [ 10, 17, 15 ], [ 10, 18, 12 ], [ 10, 19, 15 ], [ 10, 20, 3 ], [ 10, 21, 23 ], [ 10, 22, 19 ], [ 10, 23, 0 ], [ 10, 24, 30 ], [ 10, 25, 85 ], [ 10, 26, 112 ], [ 10, 27, 86 ], [ 10, 28, 111 ], [ 10, 29, 33 ], [ 10, 30, 111 ], [ 10, 31, 112 ], [ 10, 32, 85 ], [ 10, 33, 33 ], [ 10, 34, 30 ], [ 10, 35, 86 ], [ 10, 36, 33 ], [ 10, 37, 30 ], [ 10, 38, 86 ], [ 10, 39, 111 ], [ 10, 40, 112 ], [ 10, 41, 85 ], [ 10, 42, 86 ], [ 10, 43, 85 ], [ 10, 44, 33 ], [ 10, 45, 112 ], [ 10, 46, 111 ], [ 10, 47, 30 ], [ 10, 48, 29 ], [ 10, 49, 77 ], [ 10, 50, 64 ], [ 10, 51, 82 ], [ 10, 52, 59 ], [ 10, 53, 41 ], [ 10, 54, 59 ], [ 10, 55, 64 ], [ 10, 56, 77 ], [ 10, 57, 41 ], [ 10, 58, 29 ], [ 10, 59, 82 ], [ 10, 60, 41 ], [ 10, 61, 29 ], [ 10, 62, 82 ], [ 10, 63, 59 ], [ 10, 64, 64 ], [ 10, 65, 77 ], [ 10, 66, 82 ], [ 10, 67, 77 ], [ 10, 68, 41 ], [ 10, 69, 64 ], [ 10, 70, 59 ], [ 10, 71, 29 ], [ 10, 72, 100 ], [ 10, 73, 74 ], [ 10, 74, 60 ], [ 10, 75, 90 ], [ 10, 76, 71 ], [ 10, 77, 119 ], [ 10, 78, 71 ], [ 10, 79, 60 ], [ 10, 80, 74 ], [ 10, 81, 119 ], [ 10, 82, 100 ], [ 10, 83, 90 ], [ 10, 84, 119 ], [ 10, 85, 100 ], [ 10, 86, 90 ], [ 10, 87, 71 ], [ 10, 88, 60 ], [ 10, 89, 74 ], [ 10, 90, 90 ], [ 10, 91, 74 ], [ 10, 92, 119 ], [ 10, 93, 60 ], [ 10, 94, 71 ], [ 10, 95, 100 ], [ 10, 96, 96 ], [ 10, 97, 25 ], [ 10, 98, 55 ], [ 10, 99, 42 ], [ 10, 100, 68 ], [ 10, 101, 104 ], [ 10, 102, 68 ], [ 10, 103, 55 ], [ 10, 104, 25 ], [ 10, 105, 104 ], [ 10, 106, 96 ], [ 10, 107, 42 ], [ 10, 108, 104 ], [ 10, 109, 96 ], [ 10, 110, 42 ], [ 10, 111, 68 ], [ 10, 112, 55 ], [ 10, 113, 25 ], [ 10, 114, 42 ], [ 10, 115, 25 ], [ 10, 116, 104 ], [ 10, 117, 55 ], [ 10, 118, 68 ], [ 10, 119, 96 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 4 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 5, 19 ], [ 11, 6, 19 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 9, 15 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 13, 15 ], [ 11, 14, 8 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 17, 4 ], [ 11, 18, 4 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 21, 19 ], [ 11, 22, 8 ], [ 11, 23, 16 ], [ 11, 24, 30 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 27, 112 ], [ 11, 28, 89 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 31, 112 ], [ 11, 32, 7 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 35, 30 ], [ 11, 36, 89 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 39, 112 ], [ 11, 40, 7 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 43, 30 ], [ 11, 44, 7 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 47, 89 ], [ 11, 48, 29 ], [ 11, 49, 77 ], [ 11, 50, 34 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 53, 59 ], [ 11, 54, 59 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 57, 77 ], [ 11, 58, 16 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 61, 77 ], [ 11, 62, 16 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 65, 34 ], [ 11, 66, 34 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 69, 59 ], [ 11, 70, 16 ], [ 11, 71, 89 ], [ 11, 72, 29 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 75, 67 ], [ 11, 76, 111 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 79, 67 ], [ 11, 80, 0 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 83, 29 ], [ 11, 84, 111 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 87, 67 ], [ 11, 88, 0 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 91, 29 ], [ 11, 92, 0 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 95, 111 ], [ 11, 96, 77 ], [ 11, 97, 99 ], [ 11, 98, 85 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 101, 64 ], [ 11, 102, 64 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 105, 99 ], [ 11, 106, 23 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 109, 99 ], [ 11, 110, 23 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 113, 85 ], [ 11, 114, 85 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 117, 64 ], [ 11, 118, 23 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 1, 4 ], [ 12, 2, 8 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 5, 19 ], [ 12, 6, 8 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 9, 15 ], [ 12, 10, 4 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 19 ], [ 12, 14, 8 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 17, 15 ], [ 12, 18, 4 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 21, 15 ], [ 12, 22, 19 ], [ 12, 23, 16 ], [ 12, 24, 38 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 27, 63 ], [ 12, 28, 115 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 31, 115 ], [ 12, 32, 38 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 35, 16 ], [ 12, 36, 38 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 39, 16 ], [ 12, 40, 63 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 43, 63 ], [ 12, 44, 115 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 47, 16 ], [ 12, 48, 86 ], [ 12, 49, 93 ], [ 12, 50, 48 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 53, 116 ], [ 12, 54, 48 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 57, 7 ], [ 12, 58, 93 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 61, 116 ], [ 12, 62, 48 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 65, 7 ], [ 12, 66, 93 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 69, 7 ], [ 12, 70, 116 ], [ 12, 71, 19 ], [ 12, 72, 78 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 75, 41 ], [ 12, 76, 96 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 79, 96 ], [ 12, 80, 78 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 83, 23 ], [ 12, 84, 78 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 87, 23 ], [ 12, 88, 41 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 91, 41 ], [ 12, 92, 96 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 95, 23 ], [ 12, 96, 78 ], [ 12, 97, 86 ], [ 12, 98, 26 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 101, 60 ], [ 12, 102, 26 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 105, 0 ], [ 12, 106, 86 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 109, 60 ], [ 12, 110, 26 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 113, 0 ], [ 12, 114, 86 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 117, 0 ], [ 12, 118, 60 ], [ 12, 119, 8 ], [ 13, 0, 0 ], [ 13, 1, 4 ], [ 13, 2, 23 ], [ 13, 3, 20 ], [ 13, 4, 8 ], [ 13, 5, 11 ], [ 13, 6, 8 ], [ 13, 7, 23 ], [ 13, 8, 4 ], [ 13, 9, 11 ], [ 13, 10, 0 ], [ 13, 11, 20 ], [ 13, 12, 11 ], [ 13, 13, 0 ], [ 13, 14, 20 ], [ 13, 15, 8 ], [ 13, 16, 23 ], [ 13, 17, 4 ], [ 13, 18, 20 ], [ 13, 19, 4 ], [ 13, 20, 11 ], [ 13, 21, 23 ], [ 13, 22, 8 ], [ 13, 23, 0 ], [ 13, 24, 38 ], [ 13, 25, 41 ], [ 13, 26, 115 ], [ 13, 27, 119 ], [ 13, 28, 60 ], [ 13, 29, 64 ], [ 13, 30, 60 ], [ 13, 31, 115 ], [ 13, 32, 41 ], [ 13, 33, 64 ], [ 13, 34, 38 ], [ 13, 35, 119 ], [ 13, 36, 64 ], [ 13, 37, 38 ], [ 13, 38, 119 ], [ 13, 39, 60 ], [ 13, 40, 115 ], [ 13, 41, 41 ], [ 13, 42, 119 ], [ 13, 43, 41 ], [ 13, 44, 64 ], [ 13, 45, 115 ], [ 13, 46, 60 ], [ 13, 47, 38 ], [ 13, 48, 86 ], [ 13, 49, 93 ], [ 13, 50, 96 ], [ 13, 51, 111 ], [ 13, 52, 48 ], [ 13, 53, 68 ], [ 13, 54, 48 ], [ 13, 55, 96 ], [ 13, 56, 93 ], [ 13, 57, 68 ], [ 13, 58, 86 ], [ 13, 59, 111 ], [ 13, 60, 68 ], [ 13, 61, 86 ], [ 13, 62, 111 ], [ 13, 63, 48 ], [ 13, 64, 96 ], [ 13, 65, 93 ], [ 13, 66, 111 ], [ 13, 67, 93 ], [ 13, 68, 68 ], [ 13, 69, 96 ], [ 13, 70, 48 ], [ 13, 71, 86 ], [ 13, 72, 85 ], [ 13, 73, 81 ], [ 13, 74, 25 ], [ 13, 75, 33 ], [ 13, 76, 51 ], [ 13, 77, 55 ], [ 13, 78, 51 ], [ 13, 79, 25 ], [ 13, 80, 81 ], [ 13, 81, 55 ], [ 13, 82, 85 ], [ 13, 83, 33 ], [ 13, 84, 55 ], [ 13, 85, 85 ], [ 13, 86, 33 ], [ 13, 87, 51 ], [ 13, 88, 25 ], [ 13, 89, 81 ], [ 13, 90, 33 ], [ 13, 91, 81 ], [ 13, 92, 55 ], [ 13, 93, 25 ], [ 13, 94, 51 ], [ 13, 95, 85 ], [ 13, 96, 90 ], [ 13, 97, 82 ], [ 13, 98, 29 ], [ 13, 99, 46 ], [ 13, 100, 100 ], [ 13, 101, 103 ], [ 13, 102, 100 ], [ 13, 103, 29 ], [ 13, 104, 82 ], [ 13, 105, 103 ], [ 13, 106, 90 ], [ 13, 107, 46 ], [ 13, 108, 103 ], [ 13, 109, 90 ], [ 13, 110, 46 ], [ 13, 111, 100 ], [ 13, 112, 29 ], [ 13, 113, 82 ], [ 13, 114, 46 ], [ 13, 115, 82 ], [ 13, 116, 103 ], [ 13, 117, 29 ], [ 13, 118, 100 ], [ 13, 119, 90 ], [ 14, 0, 0 ], [ 14, 1, 20 ], [ 14, 2, 8 ], [ 14, 3, 20 ], [ 14, 4, 8 ], [ 14, 5, 0 ], [ 14, 6, 12 ], [ 14, 7, 16 ], [ 14, 8, 8 ], [ 14, 9, 16 ], [ 14, 10, 8 ], [ 14, 11, 12 ], [ 14, 12, 12 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 15 ], [ 14, 16, 0 ], [ 14, 17, 12 ], [ 14, 18, 16 ], [ 14, 19, 15 ], [ 14, 20, 20 ], [ 14, 21, 15 ], [ 14, 22, 20 ], [ 14, 23, 16 ], [ 14, 24, 38 ], [ 14, 25, 119 ], [ 14, 26, 60 ], [ 14, 27, 119 ], [ 14, 28, 60 ], [ 14, 29, 38 ], [ 14, 30, 12 ], [ 14, 31, 16 ], [ 14, 32, 60 ], [ 14, 33, 16 ], [ 14, 34, 60 ], [ 14, 35, 12 ], [ 14, 36, 12 ], [ 14, 37, 15 ], [ 14, 38, 38 ], [ 14, 39, 15 ], [ 14, 40, 38 ], [ 14, 41, 12 ], [ 14, 42, 16 ], [ 14, 43, 15 ], [ 14, 44, 119 ], [ 14, 45, 15 ], [ 14, 46, 119 ], [ 14, 47, 16 ], [ 14, 48, 38 ], [ 14, 49, 119 ], [ 14, 50, 74 ], [ 14, 51, 119 ], [ 14, 52, 74 ], [ 14, 53, 38 ], [ 14, 54, 0 ], [ 14, 55, 20 ], [ 14, 56, 74 ], [ 14, 57, 20 ], [ 14, 58, 74 ], [ 14, 59, 0 ], [ 14, 60, 0 ], [ 14, 61, 15 ], [ 14, 62, 38 ], [ 14, 63, 15 ], [ 14, 64, 38 ], [ 14, 65, 0 ], [ 14, 66, 20 ], [ 14, 67, 15 ], [ 14, 68, 119 ], [ 14, 69, 15 ], [ 14, 70, 119 ], [ 14, 71, 20 ], [ 14, 72, 60 ], [ 14, 73, 119 ], [ 14, 74, 74 ], [ 14, 75, 119 ], [ 14, 76, 74 ], [ 14, 77, 60 ], [ 14, 78, 8 ], [ 14, 79, 20 ], [ 14, 80, 74 ], [ 14, 81, 20 ], [ 14, 82, 74 ], [ 14, 83, 8 ], [ 14, 84, 8 ], [ 14, 85, 16 ], [ 14, 86, 60 ], [ 14, 87, 16 ], [ 14, 88, 60 ], [ 14, 89, 8 ], [ 14, 90, 20 ], [ 14, 91, 16 ], [ 14, 92, 119 ], [ 14, 93, 16 ], [ 14, 94, 119 ], [ 14, 95, 20 ], [ 14, 96, 60 ], [ 14, 97, 38 ], [ 14, 98, 74 ], [ 14, 99, 38 ], [ 14, 100, 74 ], [ 14, 101, 60 ], [ 14, 102, 8 ], [ 14, 103, 0 ], [ 14, 104, 74 ], [ 14, 105, 0 ], [ 14, 106, 74 ], [ 14, 107, 8 ], [ 14, 108, 8 ], [ 14, 109, 12 ], [ 14, 110, 60 ], [ 14, 111, 12 ], [ 14, 112, 60 ], [ 14, 113, 8 ], [ 14, 114, 0 ], [ 14, 115, 12 ], [ 14, 116, 38 ], [ 14, 117, 12 ], [ 14, 118, 38 ], [ 14, 119, 0 ], [ 15, 0, 0 ], [ 15, 1, 20 ], [ 15, 2, 3 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 5, 11 ], [ 15, 6, 12 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 9, 3 ], [ 15, 10, 11 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 13, 12 ], [ 15, 14, 20 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 17, 11 ], [ 15, 18, 12 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 21, 20 ], [ 15, 22, 3 ], [ 15, 23, 7 ], [ 15, 24, 38 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 27, 63 ], [ 15, 28, 115 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 31, 16 ], [ 15, 32, 63 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 35, 115 ], [ 15, 36, 16 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 39, 38 ], [ 15, 40, 115 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 43, 16 ], [ 15, 44, 38 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 47, 63 ], [ 15, 48, 38 ], [ 15, 49, 119 ], [ 15, 50, 25 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 53, 94 ], [ 15, 54, 0 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 57, 25 ], [ 15, 58, 94 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 61, 0 ], [ 15, 62, 119 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 65, 94 ], [ 15, 66, 0 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 69, 119 ], [ 15, 70, 25 ], [ 15, 71, 81 ], [ 15, 72, 37 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 75, 81 ], [ 15, 76, 51 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 79, 7 ], [ 15, 80, 81 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 83, 51 ], [ 15, 84, 7 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 87, 37 ], [ 15, 88, 51 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 91, 7 ], [ 15, 92, 37 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 95, 81 ], [ 15, 96, 115 ], [ 15, 97, 64 ], [ 15, 98, 99 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 101, 85 ], [ 15, 102, 23 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 105, 99 ], [ 15, 106, 85 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 109, 23 ], [ 15, 110, 64 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 113, 85 ], [ 15, 114, 23 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 117, 64 ], [ 15, 118, 99 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 1, 7 ], [ 16, 2, 23 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 5, 0 ], [ 16, 6, 7 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 9, 0 ], [ 16, 10, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 13, 23 ], [ 16, 14, 0 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 17, 7 ], [ 16, 18, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 21, 23 ], [ 16, 22, 7 ], [ 16, 23, 0 ], [ 16, 24, 38 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 27, 63 ], [ 16, 28, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 31, 38 ], [ 16, 32, 115 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 35, 63 ], [ 16, 36, 63 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 39, 115 ], [ 16, 40, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 43, 115 ], [ 16, 44, 63 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 47, 38 ], [ 16, 48, 34 ], [ 16, 49, 59 ], [ 16, 50, 77 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 53, 34 ], [ 16, 54, 59 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 57, 34 ], [ 16, 58, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 61, 77 ], [ 16, 62, 34 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 65, 59 ], [ 16, 66, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 69, 77 ], [ 16, 70, 59 ], [ 16, 71, 34 ], [ 16, 72, 108 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 75, 71 ], [ 16, 76, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 79, 108 ], [ 16, 80, 74 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 83, 71 ], [ 16, 84, 71 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 87, 74 ], [ 16, 88, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 91, 74 ], [ 16, 92, 71 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 95, 108 ], [ 16, 96, 103 ], [ 16, 97, 46 ], [ 16, 98, 73 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 101, 103 ], [ 16, 102, 46 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 105, 103 ], [ 16, 106, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 109, 73 ], [ 16, 110, 103 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 113, 46 ], [ 16, 114, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 117, 73 ], [ 16, 118, 46 ], [ 16, 119, 103 ], [ 17, 0, 0 ], [ 17, 1, 7 ], [ 17, 2, 3 ], [ 17, 3, 20 ], [ 17, 4, 8 ], [ 17, 5, 19 ], [ 17, 6, 7 ], [ 17, 7, 0 ], [ 17, 8, 19 ], [ 17, 9, 8 ], [ 17, 10, 20 ], [ 17, 11, 3 ], [ 17, 12, 20 ], [ 17, 13, 3 ], [ 17, 14, 8 ], [ 17, 15, 19 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 19 ], [ 17, 19, 8 ], [ 17, 20, 3 ], [ 17, 21, 20 ], [ 17, 22, 0 ], [ 17, 23, 7 ], [ 17, 24, 38 ], [ 17, 25, 63 ], [ 17, 26, 37 ], [ 17, 27, 119 ], [ 17, 28, 60 ], [ 17, 29, 116 ], [ 17, 30, 63 ], [ 17, 31, 38 ], [ 17, 32, 116 ], [ 17, 33, 60 ], [ 17, 34, 119 ], [ 17, 35, 37 ], [ 17, 36, 119 ], [ 17, 37, 37 ], [ 17, 38, 60 ], [ 17, 39, 116 ], [ 17, 40, 63 ], [ 17, 41, 38 ], [ 17, 42, 116 ], [ 17, 43, 60 ], [ 17, 44, 37 ], [ 17, 45, 119 ], [ 17, 46, 38 ], [ 17, 47, 63 ], [ 17, 48, 34 ], [ 17, 49, 59 ], [ 17, 50, 29 ], [ 17, 51, 89 ], [ 17, 52, 52 ], [ 17, 53, 82 ], [ 17, 54, 59 ], [ 17, 55, 34 ], [ 17, 56, 82 ], [ 17, 57, 52 ], [ 17, 58, 89 ], [ 17, 59, 29 ], [ 17, 60, 89 ], [ 17, 61, 29 ], [ 17, 62, 52 ], [ 17, 63, 82 ], [ 17, 64, 59 ], [ 17, 65, 34 ], [ 17, 66, 82 ], [ 17, 67, 52 ], [ 17, 68, 29 ], [ 17, 69, 89 ], [ 17, 70, 34 ], [ 17, 71, 59 ], [ 17, 72, 42 ], [ 17, 73, 107 ], [ 17, 74, 26 ], [ 17, 75, 93 ], [ 17, 76, 96 ], [ 17, 77, 78 ], [ 17, 78, 107 ], [ 17, 79, 42 ], [ 17, 80, 78 ], [ 17, 81, 96 ], [ 17, 82, 93 ], [ 17, 83, 26 ], [ 17, 84, 93 ], [ 17, 85, 26 ], [ 17, 86, 96 ], [ 17, 87, 78 ], [ 17, 88, 107 ], [ 17, 89, 42 ], [ 17, 90, 78 ], [ 17, 91, 96 ], [ 17, 92, 26 ], [ 17, 93, 93 ], [ 17, 94, 42 ], [ 17, 95, 107 ], [ 17, 96, 67 ], [ 17, 97, 112 ], [ 17, 98, 51 ], [ 17, 99, 94 ], [ 17, 100, 99 ], [ 17, 101, 85 ], [ 17, 102, 112 ], [ 17, 103, 67 ], [ 17, 104, 85 ], [ 17, 105, 99 ], [ 17, 106, 94 ], [ 17, 107, 51 ], [ 17, 108, 94 ], [ 17, 109, 51 ], [ 17, 110, 99 ], [ 17, 111, 85 ], [ 17, 112, 112 ], [ 17, 113, 67 ], [ 17, 114, 85 ], [ 17, 115, 99 ], [ 17, 116, 51 ], [ 17, 117, 94 ], [ 17, 118, 67 ], [ 17, 119, 112 ], [ 18, 0, 0 ], [ 18, 1, 3 ], [ 18, 2, 8 ], [ 18, 3, 11 ], [ 18, 4, 15 ], [ 18, 5, 16 ], [ 18, 6, 11 ], [ 18, 7, 16 ], [ 18, 8, 15 ], [ 18, 9, 0 ], [ 18, 10, 8 ], [ 18, 11, 3 ], [ 18, 12, 3 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 8 ], [ 18, 16, 0 ], [ 18, 17, 11 ], [ 18, 18, 0 ], [ 18, 19, 8 ], [ 18, 20, 11 ], [ 18, 21, 15 ], [ 18, 22, 3 ], [ 18, 23, 16 ], [ 18, 24, 45 ], [ 18, 25, 46 ], [ 18, 26, 71 ], [ 18, 27, 67 ], [ 18, 28, 94 ], [ 18, 29, 90 ], [ 18, 30, 67 ], [ 18, 31, 90 ], [ 18, 32, 94 ], [ 18, 33, 45 ], [ 18, 34, 71 ], [ 18, 35, 46 ], [ 18, 36, 46 ], [ 18, 37, 94 ], [ 18, 38, 90 ], [ 18, 39, 71 ], [ 18, 40, 45 ], [ 18, 41, 67 ], [ 18, 42, 45 ], [ 18, 43, 71 ], [ 18, 44, 67 ], [ 18, 45, 94 ], [ 18, 46, 46 ], [ 18, 47, 90 ], [ 18, 48, 111 ], [ 18, 49, 116 ], [ 18, 50, 63 ], [ 18, 51, 48 ], [ 18, 52, 86 ], [ 18, 53, 73 ], [ 18, 54, 48 ], [ 18, 55, 73 ], [ 18, 56, 86 ], [ 18, 57, 111 ], [ 18, 58, 63 ], [ 18, 59, 116 ], [ 18, 60, 116 ], [ 18, 61, 86 ], [ 18, 62, 73 ], [ 18, 63, 63 ], [ 18, 64, 111 ], [ 18, 65, 48 ], [ 18, 66, 111 ], [ 18, 67, 63 ], [ 18, 68, 48 ], [ 18, 69, 86 ], [ 18, 70, 116 ], [ 18, 71, 73 ], [ 18, 72, 107 ], [ 18, 73, 115 ], [ 18, 74, 41 ], [ 18, 75, 26 ], [ 18, 76, 78 ], [ 18, 77, 77 ], [ 18, 78, 26 ], [ 18, 79, 77 ], [ 18, 80, 78 ], [ 18, 81, 107 ], [ 18, 82, 41 ], [ 18, 83, 115 ], [ 18, 84, 115 ], [ 18, 85, 78 ], [ 18, 86, 77 ], [ 18, 87, 41 ], [ 18, 88, 107 ], [ 18, 89, 26 ], [ 18, 90, 107 ], [ 18, 91, 41 ], [ 18, 92, 26 ], [ 18, 93, 78 ], [ 18, 94, 115 ], [ 18, 95, 77 ], [ 18, 96, 104 ], [ 18, 97, 108 ], [ 18, 98, 34 ], [ 18, 99, 25 ], [ 18, 100, 55 ], [ 18, 101, 52 ], [ 18, 102, 25 ], [ 18, 103, 52 ], [ 18, 104, 55 ], [ 18, 105, 104 ], [ 18, 106, 34 ], [ 18, 107, 108 ], [ 18, 108, 108 ], [ 18, 109, 55 ], [ 18, 110, 52 ], [ 18, 111, 34 ], [ 18, 112, 104 ], [ 18, 113, 25 ], [ 18, 114, 104 ], [ 18, 115, 34 ], [ 18, 116, 25 ], [ 18, 117, 55 ], [ 18, 118, 108 ], [ 18, 119, 52 ], [ 19, 0, 0 ], [ 19, 1, 3 ], [ 19, 2, 12 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 5, 11 ], [ 19, 6, 11 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 9, 3 ], [ 19, 10, 20 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 13, 3 ], [ 19, 14, 20 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 17, 12 ], [ 19, 18, 12 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 21, 11 ], [ 19, 22, 20 ], [ 19, 23, 7 ], [ 19, 24, 45 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 27, 90 ], [ 19, 28, 68 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 31, 90 ], [ 19, 32, 23 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 35, 45 ], [ 19, 36, 68 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 39, 90 ], [ 19, 40, 23 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 43, 45 ], [ 19, 44, 23 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 47, 68 ], [ 19, 48, 111 ], [ 19, 49, 116 ], [ 19, 50, 93 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 53, 48 ], [ 19, 54, 48 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 57, 116 ], [ 19, 58, 7 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 61, 116 ], [ 19, 62, 7 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 65, 93 ], [ 19, 66, 93 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 69, 48 ], [ 19, 70, 7 ], [ 19, 71, 68 ], [ 19, 72, 111 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 75, 29 ], [ 19, 76, 67 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 79, 29 ], [ 19, 80, 0 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 83, 111 ], [ 19, 84, 67 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 87, 29 ], [ 19, 88, 0 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 91, 111 ], [ 19, 92, 0 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 95, 67 ], [ 19, 96, 116 ], [ 19, 97, 103 ], [ 19, 98, 46 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 101, 73 ], [ 19, 102, 73 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 105, 103 ], [ 19, 106, 16 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 109, 103 ], [ 19, 110, 16 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 113, 46 ], [ 19, 114, 46 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 117, 73 ], [ 19, 118, 16 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 1, 15 ], [ 20, 2, 8 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 5, 4 ], [ 20, 6, 19 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 9, 8 ], [ 20, 10, 4 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 13, 19 ], [ 20, 14, 15 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 17, 4 ], [ 20, 18, 19 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 21, 15 ], [ 20, 22, 8 ], [ 20, 23, 16 ], [ 20, 24, 45 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 27, 90 ], [ 20, 28, 68 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 31, 23 ], [ 20, 32, 90 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 35, 68 ], [ 20, 36, 23 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 39, 45 ], [ 20, 40, 68 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 43, 23 ], [ 20, 44, 45 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 47, 90 ], [ 20, 48, 45 ], [ 20, 49, 94 ], [ 20, 50, 119 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 53, 25 ], [ 20, 54, 0 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 57, 119 ], [ 20, 58, 25 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 61, 0 ], [ 20, 62, 94 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 65, 25 ], [ 20, 66, 0 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 69, 94 ], [ 20, 70, 119 ], [ 20, 71, 74 ], [ 20, 72, 71 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 75, 74 ], [ 20, 76, 108 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 79, 16 ], [ 20, 80, 74 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 83, 108 ], [ 20, 84, 16 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 87, 71 ], [ 20, 88, 108 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 91, 16 ], [ 20, 92, 71 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 95, 74 ], [ 20, 96, 68 ], [ 20, 97, 42 ], [ 20, 98, 104 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 101, 52 ], [ 20, 102, 7 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 105, 104 ], [ 20, 106, 52 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 109, 7 ], [ 20, 110, 42 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 113, 52 ], [ 20, 114, 7 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 117, 42 ], [ 20, 118, 104 ], [ 20, 119, 25 ], [ 21, 0, 0 ], [ 21, 1, 15 ], [ 21, 2, 0 ], [ 21, 3, 11 ], [ 21, 4, 15 ], [ 21, 5, 11 ], [ 21, 6, 19 ], [ 21, 7, 23 ], [ 21, 8, 19 ], [ 21, 9, 11 ], [ 21, 10, 23 ], [ 21, 11, 11 ], [ 21, 12, 20 ], [ 21, 13, 23 ], [ 21, 14, 20 ], [ 21, 15, 15 ], [ 21, 16, 23 ], [ 21, 17, 15 ], [ 21, 18, 20 ], [ 21, 19, 19 ], [ 21, 20, 20 ], [ 21, 21, 0 ], [ 21, 22, 19 ], [ 21, 23, 0 ], [ 21, 24, 45 ], [ 21, 25, 94 ], [ 21, 26, 45 ], [ 21, 27, 67 ], [ 21, 28, 94 ], [ 21, 29, 67 ], [ 21, 30, 19 ], [ 21, 31, 23 ], [ 21, 32, 19 ], [ 21, 33, 67 ], [ 21, 34, 23 ], [ 21, 35, 67 ], [ 21, 36, 20 ], [ 21, 37, 23 ], [ 21, 38, 20 ], [ 21, 39, 94 ], [ 21, 40, 23 ], [ 21, 41, 94 ], [ 21, 42, 20 ], [ 21, 43, 19 ], [ 21, 44, 20 ], [ 21, 45, 45 ], [ 21, 46, 19 ], [ 21, 47, 45 ], [ 21, 48, 45 ], [ 21, 49, 94 ], [ 21, 50, 45 ], [ 21, 51, 99 ], [ 21, 52, 94 ], [ 21, 53, 99 ], [ 21, 54, 0 ], [ 21, 55, 15 ], [ 21, 56, 0 ], [ 21, 57, 99 ], [ 21, 58, 15 ], [ 21, 59, 99 ], [ 21, 60, 20 ], [ 21, 61, 15 ], [ 21, 62, 20 ], [ 21, 63, 94 ], [ 21, 64, 15 ], [ 21, 65, 94 ], [ 21, 66, 20 ], [ 21, 67, 0 ], [ 21, 68, 20 ], [ 21, 69, 45 ], [ 21, 70, 0 ], [ 21, 71, 45 ], [ 21, 72, 45 ], [ 21, 73, 67 ], [ 21, 74, 45 ], [ 21, 75, 99 ], [ 21, 76, 67 ], [ 21, 77, 99 ], [ 21, 78, 0 ], [ 21, 79, 11 ], [ 21, 80, 0 ], [ 21, 81, 99 ], [ 21, 82, 11 ], [ 21, 83, 99 ], [ 21, 84, 19 ], [ 21, 85, 11 ], [ 21, 86, 19 ], [ 21, 87, 67 ], [ 21, 88, 11 ], [ 21, 89, 67 ], [ 21, 90, 19 ], [ 21, 91, 0 ], [ 21, 92, 19 ], [ 21, 93, 45 ], [ 21, 94, 0 ], [ 21, 95, 45 ], [ 21, 96, 94 ], [ 21, 97, 67 ], [ 21, 98, 94 ], [ 21, 99, 99 ], [ 21, 100, 67 ], [ 21, 101, 99 ], [ 21, 102, 15 ], [ 21, 103, 11 ], [ 21, 104, 15 ], [ 21, 105, 99 ], [ 21, 106, 11 ], [ 21, 107, 99 ], [ 21, 108, 23 ], [ 21, 109, 11 ], [ 21, 110, 23 ], [ 21, 111, 67 ], [ 21, 112, 11 ], [ 21, 113, 67 ], [ 21, 114, 23 ], [ 21, 115, 15 ], [ 21, 116, 23 ], [ 21, 117, 94 ], [ 21, 118, 15 ], [ 21, 119, 94 ], [ 22, 0, 0 ], [ 22, 1, 7 ], [ 22, 2, 12 ], [ 22, 3, 11 ], [ 22, 4, 15 ], [ 22, 5, 4 ], [ 22, 6, 7 ], [ 22, 7, 0 ], [ 22, 8, 4 ], [ 22, 9, 15 ], [ 22, 10, 11 ], [ 22, 11, 12 ], [ 22, 12, 11 ], [ 22, 13, 12 ], [ 22, 14, 15 ], [ 22, 15, 4 ], [ 22, 16, 7 ], [ 22, 17, 0 ], [ 22, 18, 4 ], [ 22, 19, 15 ], [ 22, 20, 12 ], [ 22, 21, 11 ], [ 22, 22, 0 ], [ 22, 23, 7 ], [ 22, 24, 45 ], [ 22, 25, 68 ], [ 22, 26, 93 ], [ 22, 27, 67 ], [ 22, 28, 94 ], [ 22, 29, 42 ], [ 22, 30, 68 ], [ 22, 31, 45 ], [ 22, 32, 42 ], [ 22, 33, 94 ], [ 22, 34, 67 ], [ 22, 35, 93 ], [ 22, 36, 67 ], [ 22, 37, 93 ], [ 22, 38, 94 ], [ 22, 39, 42 ], [ 22, 40, 68 ], [ 22, 41, 45 ], [ 22, 42, 42 ], [ 22, 43, 94 ], [ 22, 44, 93 ], [ 22, 45, 67 ], [ 22, 46, 45 ], [ 22, 47, 68 ], [ 22, 48, 33 ], [ 22, 49, 56 ], [ 22, 50, 107 ], [ 22, 51, 51 ], [ 22, 52, 112 ], [ 22, 53, 26 ], [ 22, 54, 56 ], [ 22, 55, 33 ], [ 22, 56, 26 ], [ 22, 57, 112 ], [ 22, 58, 51 ], [ 22, 59, 107 ], [ 22, 60, 51 ], [ 22, 61, 107 ], [ 22, 62, 112 ], [ 22, 63, 26 ], [ 22, 64, 56 ], [ 22, 65, 33 ], [ 22, 66, 26 ], [ 22, 67, 112 ], [ 22, 68, 107 ], [ 22, 69, 51 ], [ 22, 70, 33 ], [ 22, 71, 56 ], [ 22, 72, 89 ], [ 22, 73, 60 ], [ 22, 74, 119 ], [ 22, 75, 52 ], [ 22, 76, 108 ], [ 22, 77, 74 ], [ 22, 78, 60 ], [ 22, 79, 89 ], [ 22, 80, 74 ], [ 22, 81, 108 ], [ 22, 82, 52 ], [ 22, 83, 119 ], [ 22, 84, 52 ], [ 22, 85, 119 ], [ 22, 86, 108 ], [ 22, 87, 74 ], [ 22, 88, 60 ], [ 22, 89, 89 ], [ 22, 90, 74 ], [ 22, 91, 108 ], [ 22, 92, 119 ], [ 22, 93, 52 ], [ 22, 94, 89 ], [ 22, 95, 60 ], [ 22, 96, 82 ], [ 22, 97, 37 ], [ 22, 98, 116 ], [ 22, 99, 29 ], [ 22, 100, 103 ], [ 22, 101, 73 ], [ 22, 102, 37 ], [ 22, 103, 82 ], [ 22, 104, 73 ], [ 22, 105, 103 ], [ 22, 106, 29 ], [ 22, 107, 116 ], [ 22, 108, 29 ], [ 22, 109, 116 ], [ 22, 110, 103 ], [ 22, 111, 73 ], [ 22, 112, 37 ], [ 22, 113, 82 ], [ 22, 114, 73 ], [ 22, 115, 103 ], [ 22, 116, 116 ], [ 22, 117, 29 ], [ 22, 118, 82 ], [ 22, 119, 37 ], [ 23, 0, 0 ], [ 23, 1, 7 ], [ 23, 2, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 5, 16 ], [ 23, 6, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 9, 16 ], [ 23, 10, 0 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 13, 0 ], [ 23, 14, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 17, 7 ], [ 23, 18, 16 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 21, 0 ], [ 23, 22, 7 ], [ 23, 23, 0 ], [ 23, 24, 45 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 27, 90 ], [ 23, 28, 68 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 31, 45 ], [ 23, 32, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 35, 90 ], [ 23, 36, 90 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 39, 68 ], [ 23, 40, 45 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 43, 68 ], [ 23, 44, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 47, 45 ], [ 23, 48, 33 ], [ 23, 49, 56 ], [ 23, 50, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 53, 100 ], [ 23, 54, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 57, 100 ], [ 23, 58, 33 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 61, 33 ], [ 23, 62, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 65, 56 ], [ 23, 66, 100 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 69, 33 ], [ 23, 70, 56 ], [ 23, 71, 33 ], [ 23, 72, 41 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 75, 96 ], [ 23, 76, 78 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 79, 41 ], [ 23, 80, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 83, 96 ], [ 23, 84, 96 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 87, 78 ], [ 23, 88, 41 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 91, 78 ], [ 23, 92, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 95, 41 ], [ 23, 96, 64 ], [ 23, 97, 85 ], [ 23, 98, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 101, 99 ], [ 23, 102, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 105, 99 ], [ 23, 106, 64 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 109, 64 ], [ 23, 110, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 113, 85 ], [ 23, 114, 99 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 117, 64 ], [ 23, 118, 85 ], [ 23, 119, 64 ], [ 24, 0, 0 ], [ 24, 1, 0 ], [ 24, 2, 0 ], [ 24, 3, 0 ], [ 24, 4, 0 ], [ 24, 5, 0 ], [ 24, 6, 48 ], [ 24, 7, 48 ], [ 24, 8, 48 ], [ 24, 9, 48 ], [ 24, 10, 48 ], [ 24, 11, 48 ], [ 24, 12, 74 ], [ 24, 13, 74 ], [ 24, 14, 74 ], [ 24, 15, 74 ], [ 24, 16, 74 ], [ 24, 17, 74 ], [ 24, 18, 99 ], [ 24, 19, 99 ], [ 24, 20, 99 ], [ 24, 21, 99 ], [ 24, 22, 99 ], [ 24, 23, 99 ], [ 24, 24, 0 ], [ 24, 25, 0 ], [ 24, 26, 0 ], [ 24, 27, 0 ], [ 24, 28, 0 ], [ 24, 29, 0 ], [ 24, 30, 30 ], [ 24, 31, 30 ], [ 24, 32, 30 ], [ 24, 33, 30 ], [ 24, 34, 30 ], [ 24, 35, 30 ], [ 24, 36, 38 ], [ 24, 37, 38 ], [ 24, 38, 38 ], [ 24, 39, 38 ], [ 24, 40, 38 ], [ 24, 41, 38 ], [ 24, 42, 45 ], [ 24, 43, 45 ], [ 24, 44, 45 ], [ 24, 45, 45 ], [ 24, 46, 45 ], [ 24, 47, 45 ], [ 24, 48, 48 ], [ 24, 49, 48 ], [ 24, 50, 48 ], [ 24, 51, 48 ], [ 24, 52, 48 ], [ 24, 53, 48 ], [ 24, 54, 30 ], [ 24, 55, 30 ], [ 24, 56, 30 ], [ 24, 57, 30 ], [ 24, 58, 30 ], [ 24, 59, 30 ], [ 24, 60, 26 ], [ 24, 61, 26 ], [ 24, 62, 26 ], [ 24, 63, 26 ], [ 24, 64, 26 ], [ 24, 65, 26 ], [ 24, 66, 29 ], [ 24, 67, 29 ], [ 24, 68, 29 ], [ 24, 69, 29 ], [ 24, 70, 29 ], [ 24, 71, 29 ], [ 24, 72, 74 ], [ 24, 73, 74 ], [ 24, 74, 74 ], [ 24, 75, 74 ], [ 24, 76, 74 ], [ 24, 77, 74 ], [ 24, 78, 38 ], [ 24, 79, 38 ], [ 24, 80, 38 ], [ 24, 81, 38 ], [ 24, 82, 38 ], [ 24, 83, 38 ], [ 24, 84, 26 ], [ 24, 85, 26 ], [ 24, 86, 26 ], [ 24, 87, 26 ], [ 24, 88, 26 ], [ 24, 89, 26 ], [ 24, 90, 25 ], [ 24, 91, 25 ], [ 24, 92, 25 ], [ 24, 93, 25 ], [ 24, 94, 25 ], [ 24, 95, 25 ], [ 24, 96, 99 ], [ 24, 97, 99 ], [ 24, 98, 99 ], [ 24, 99, 99 ], [ 24, 100, 99 ], [ 24, 101, 99 ], [ 24, 102, 45 ], [ 24, 103, 45 ], [ 24, 104, 45 ], [ 24, 105, 45 ], [ 24, 106, 45 ], [ 24, 107, 45 ], [ 24, 108, 29 ], [ 24, 109, 29 ], [ 24, 110, 29 ], [ 24, 111, 29 ], [ 24, 112, 29 ], [ 24, 113, 29 ], [ 24, 114, 25 ], [ 24, 115, 25 ], [ 24, 116, 25 ], [ 24, 117, 25 ], [ 24, 118, 25 ], [ 24, 119, 25 ], [ 25, 0, 0 ], [ 25, 1, 0 ], [ 25, 2, 3 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 5, 4 ], [ 25, 6, 48 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 9, 63 ], [ 25, 10, 68 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 13, 100 ], [ 25, 14, 119 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 17, 108 ], [ 25, 18, 77 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 21, 94 ], [ 25, 22, 85 ], [ 25, 23, 85 ], [ 25, 24, 0 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 27, 3 ], [ 25, 28, 4 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 31, 30 ], [ 25, 32, 85 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 35, 108 ], [ 25, 36, 46 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 39, 94 ], [ 25, 40, 68 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 43, 41 ], [ 25, 44, 119 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 47, 63 ], [ 25, 48, 48 ], [ 25, 49, 48 ], [ 25, 50, 63 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 53, 68 ], [ 25, 54, 30 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 57, 85 ], [ 25, 58, 108 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 61, 41 ], [ 25, 62, 77 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 65, 4 ], [ 25, 66, 46 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 69, 100 ], [ 25, 70, 3 ], [ 25, 71, 3 ], [ 25, 72, 100 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 75, 119 ], [ 25, 76, 108 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 79, 46 ], [ 25, 80, 94 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 83, 68 ], [ 25, 84, 41 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 87, 77 ], [ 25, 88, 4 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 91, 30 ], [ 25, 92, 48 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 95, 0 ], [ 25, 96, 77 ], [ 25, 97, 77 ], [ 25, 98, 94 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 101, 85 ], [ 25, 102, 41 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 105, 119 ], [ 25, 106, 63 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 109, 46 ], [ 25, 110, 100 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 113, 3 ], [ 25, 114, 30 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 117, 48 ], [ 25, 118, 0 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 1, 4 ], [ 26, 2, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 5, 3 ], [ 26, 6, 86 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 9, 73 ], [ 26, 10, 93 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 13, 71 ], [ 26, 14, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 17, 52 ], [ 26, 18, 115 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 21, 99 ], [ 26, 22, 112 ], [ 26, 23, 99 ], [ 26, 24, 0 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 27, 3 ], [ 26, 28, 4 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 31, 115 ], [ 26, 32, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 35, 37 ], [ 26, 36, 86 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 39, 34 ], [ 26, 40, 112 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 43, 71 ], [ 26, 44, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 47, 45 ], [ 26, 48, 86 ], [ 26, 49, 93 ], [ 26, 50, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 53, 73 ], [ 26, 54, 60 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 57, 37 ], [ 26, 58, 115 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 61, 99 ], [ 26, 62, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 65, 45 ], [ 26, 66, 4 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 69, 34 ], [ 26, 70, 52 ], [ 26, 71, 34 ], [ 26, 72, 60 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 75, 52 ], [ 26, 76, 71 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 79, 112 ], [ 26, 80, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 83, 34 ], [ 26, 84, 0 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 87, 45 ], [ 26, 88, 99 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 91, 73 ], [ 26, 92, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 95, 37 ], [ 26, 96, 115 ], [ 26, 97, 112 ], [ 26, 98, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 101, 99 ], [ 26, 102, 93 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 105, 45 ], [ 26, 106, 71 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 109, 52 ], [ 26, 110, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 113, 34 ], [ 26, 114, 3 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 117, 37 ], [ 26, 118, 73 ], [ 26, 119, 37 ], [ 27, 0, 0 ], [ 27, 1, 4 ], [ 27, 2, 4 ], [ 27, 3, 0 ], [ 27, 4, 0 ], [ 27, 5, 4 ], [ 27, 6, 86 ], [ 27, 7, 93 ], [ 27, 8, 93 ], [ 27, 9, 86 ], [ 27, 10, 86 ], [ 27, 11, 93 ], [ 27, 12, 108 ], [ 27, 13, 119 ], [ 27, 14, 119 ], [ 27, 15, 108 ], [ 27, 16, 108 ], [ 27, 17, 119 ], [ 27, 18, 67 ], [ 27, 19, 64 ], [ 27, 20, 64 ], [ 27, 21, 67 ], [ 27, 22, 67 ], [ 27, 23, 64 ], [ 27, 24, 0 ], [ 27, 25, 4 ], [ 27, 26, 4 ], [ 27, 27, 0 ], [ 27, 28, 0 ], [ 27, 29, 4 ], [ 27, 30, 60 ], [ 27, 31, 115 ], [ 27, 32, 115 ], [ 27, 33, 60 ], [ 27, 34, 60 ], [ 27, 35, 115 ], [ 27, 36, 68 ], [ 27, 37, 94 ], [ 27, 38, 94 ], [ 27, 39, 68 ], [ 27, 40, 68 ], [ 27, 41, 94 ], [ 27, 42, 111 ], [ 27, 43, 89 ], [ 27, 44, 89 ], [ 27, 45, 111 ], [ 27, 46, 111 ], [ 27, 47, 89 ], [ 27, 48, 86 ], [ 27, 49, 93 ], [ 27, 50, 93 ], [ 27, 51, 86 ], [ 27, 52, 86 ], [ 27, 53, 93 ], [ 27, 54, 60 ], [ 27, 55, 115 ], [ 27, 56, 115 ], [ 27, 57, 60 ], [ 27, 58, 60 ], [ 27, 59, 115 ], [ 27, 60, 59 ], [ 27, 61, 11 ], [ 27, 62, 11 ], [ 27, 63, 59 ], [ 27, 64, 59 ], [ 27, 65, 11 ], [ 27, 66, 104 ], [ 27, 67, 20 ], [ 27, 68, 20 ], [ 27, 69, 104 ], [ 27, 70, 104 ], [ 27, 71, 20 ], [ 27, 72, 108 ], [ 27, 73, 119 ], [ 27, 74, 119 ], [ 27, 75, 108 ], [ 27, 76, 108 ], [ 27, 77, 119 ], [ 27, 78, 68 ], [ 27, 79, 94 ], [ 27, 80, 94 ], [ 27, 81, 68 ], [ 27, 82, 68 ], [ 27, 83, 94 ], [ 27, 84, 59 ], [ 27, 85, 11 ], [ 27, 86, 11 ], [ 27, 87, 59 ], [ 27, 88, 59 ], [ 27, 89, 11 ], [ 27, 90, 78 ], [ 27, 91, 12 ], [ 27, 92, 12 ], [ 27, 93, 78 ], [ 27, 94, 78 ], [ 27, 95, 12 ], [ 27, 96, 67 ], [ 27, 97, 64 ], [ 27, 98, 64 ], [ 27, 99, 67 ], [ 27, 100, 67 ], [ 27, 101, 64 ], [ 27, 102, 111 ], [ 27, 103, 89 ], [ 27, 104, 89 ], [ 27, 105, 111 ], [ 27, 106, 111 ], [ 27, 107, 89 ], [ 27, 108, 104 ], [ 27, 109, 20 ], [ 27, 110, 20 ], [ 27, 111, 104 ], [ 27, 112, 104 ], [ 27, 113, 20 ], [ 27, 114, 78 ], [ 27, 115, 12 ], [ 27, 116, 12 ], [ 27, 117, 78 ], [ 27, 118, 78 ], [ 27, 119, 12 ], [ 28, 0, 0 ], [ 28, 1, 3 ], [ 28, 2, 3 ], [ 28, 3, 0 ], [ 28, 4, 0 ], [ 28, 5, 3 ], [ 28, 6, 111 ], [ 28, 7, 116 ], [ 28, 8, 116 ], [ 28, 9, 111 ], [ 28, 10, 111 ], [ 28, 11, 116 ], [ 28, 12, 71 ], [ 28, 13, 60 ], [ 28, 14, 60 ], [ 28, 15, 71 ], [ 28, 16, 71 ], [ 28, 17, 60 ], [ 28, 18, 94 ], [ 28, 19, 85 ], [ 28, 20, 85 ], [ 28, 21, 94 ], [ 28, 22, 94 ], [ 28, 23, 85 ], [ 28, 24, 0 ], [ 28, 25, 3 ], [ 28, 26, 3 ], [ 28, 27, 0 ], [ 28, 28, 0 ], [ 28, 29, 3 ], [ 28, 30, 67 ], [ 28, 31, 90 ], [ 28, 32, 90 ], [ 28, 33, 67 ], [ 28, 34, 67 ], [ 28, 35, 90 ], [ 28, 36, 112 ], [ 28, 37, 86 ], [ 28, 38, 86 ], [ 28, 39, 112 ], [ 28, 40, 112 ], [ 28, 41, 86 ], [ 28, 42, 119 ], [ 28, 43, 63 ], [ 28, 44, 63 ], [ 28, 45, 119 ], [ 28, 46, 119 ], [ 28, 47, 63 ], [ 28, 48, 111 ], [ 28, 49, 116 ], [ 28, 50, 116 ], [ 28, 51, 111 ], [ 28, 52, 111 ], [ 28, 53, 116 ], [ 28, 54, 67 ], [ 28, 55, 90 ], [ 28, 56, 90 ], [ 28, 57, 67 ], [ 28, 58, 67 ], [ 28, 59, 90 ], [ 28, 60, 15 ], [ 28, 61, 81 ], [ 28, 62, 81 ], [ 28, 63, 15 ], [ 28, 64, 15 ], [ 28, 65, 81 ], [ 28, 66, 8 ], [ 28, 67, 56 ], [ 28, 68, 56 ], [ 28, 69, 8 ], [ 28, 70, 8 ], [ 28, 71, 56 ], [ 28, 72, 71 ], [ 28, 73, 60 ], [ 28, 74, 60 ], [ 28, 75, 71 ], [ 28, 76, 71 ], [ 28, 77, 60 ], [ 28, 78, 112 ], [ 28, 79, 86 ], [ 28, 80, 86 ], [ 28, 81, 112 ], [ 28, 82, 112 ], [ 28, 83, 86 ], [ 28, 84, 15 ], [ 28, 85, 81 ], [ 28, 86, 81 ], [ 28, 87, 15 ], [ 28, 88, 15 ], [ 28, 89, 81 ], [ 28, 90, 19 ], [ 28, 91, 103 ], [ 28, 92, 103 ], [ 28, 93, 19 ], [ 28, 94, 19 ], [ 28, 95, 103 ], [ 28, 96, 94 ], [ 28, 97, 85 ], [ 28, 98, 85 ], [ 28, 99, 94 ], [ 28, 100, 94 ], [ 28, 101, 85 ], [ 28, 102, 119 ], [ 28, 103, 63 ], [ 28, 104, 63 ], [ 28, 105, 119 ], [ 28, 106, 119 ], [ 28, 107, 63 ], [ 28, 108, 8 ], [ 28, 109, 56 ], [ 28, 110, 56 ], [ 28, 111, 8 ], [ 28, 112, 8 ], [ 28, 113, 56 ], [ 28, 114, 19 ], [ 28, 115, 103 ], [ 28, 116, 103 ], [ 28, 117, 19 ], [ 28, 118, 19 ], [ 28, 119, 103 ], [ 29, 0, 0 ], [ 29, 1, 3 ], [ 29, 2, 4 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 5, 0 ], [ 29, 6, 111 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 9, 116 ], [ 29, 10, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 13, 90 ], [ 29, 14, 74 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 17, 89 ], [ 29, 18, 64 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 21, 67 ], [ 29, 22, 51 ], [ 29, 23, 64 ], [ 29, 24, 0 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 27, 3 ], [ 29, 28, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 31, 90 ], [ 29, 32, 42 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 35, 67 ], [ 29, 36, 64 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 39, 116 ], [ 29, 40, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 43, 111 ], [ 29, 44, 33 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 47, 89 ], [ 29, 48, 111 ], [ 29, 49, 116 ], [ 29, 50, 96 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 53, 111 ], [ 29, 54, 67 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 57, 90 ], [ 29, 58, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 61, 3 ], [ 29, 62, 33 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 65, 51 ], [ 29, 66, 74 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 69, 0 ], [ 29, 70, 38 ], [ 29, 71, 74 ], [ 29, 72, 89 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 75, 90 ], [ 29, 76, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 79, 116 ], [ 29, 80, 38 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 83, 64 ], [ 29, 84, 51 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 87, 3 ], [ 29, 88, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 91, 4 ], [ 29, 92, 42 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 95, 96 ], [ 29, 96, 64 ], [ 29, 97, 67 ], [ 29, 98, 51 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 101, 64 ], [ 29, 102, 89 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 105, 111 ], [ 29, 106, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 109, 0 ], [ 29, 110, 38 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 113, 74 ], [ 29, 114, 96 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 117, 4 ], [ 29, 118, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 1, 0 ], [ 30, 2, 78 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 5, 103 ], [ 30, 6, 48 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 9, 86 ], [ 30, 10, 111 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 13, 60 ], [ 30, 14, 8 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 17, 108 ], [ 30, 18, 67 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 21, 11 ], [ 30, 22, 85 ], [ 30, 23, 85 ], [ 30, 24, 48 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 27, 60 ], [ 30, 28, 67 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 31, 0 ], [ 30, 32, 38 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 35, 45 ], [ 30, 36, 78 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 39, 26 ], [ 30, 40, 42 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 43, 103 ], [ 30, 44, 29 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 47, 37 ], [ 30, 48, 0 ], [ 30, 49, 0 ], [ 30, 50, 8 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 53, 11 ], [ 30, 54, 48 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 57, 26 ], [ 30, 58, 29 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 61, 86 ], [ 30, 62, 38 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 65, 34 ], [ 30, 66, 111 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 69, 45 ], [ 30, 70, 33 ], [ 30, 71, 33 ], [ 30, 72, 78 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 75, 86 ], [ 30, 76, 85 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 79, 60 ], [ 30, 80, 38 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 83, 37 ], [ 30, 84, 8 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 87, 26 ], [ 30, 88, 33 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 91, 108 ], [ 30, 92, 42 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 95, 34 ], [ 30, 96, 103 ], [ 30, 97, 103 ], [ 30, 98, 111 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 101, 108 ], [ 30, 102, 67 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 105, 45 ], [ 30, 106, 42 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 109, 11 ], [ 30, 110, 29 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 113, 34 ], [ 30, 114, 85 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 117, 37 ], [ 30, 118, 33 ], [ 30, 119, 33 ], [ 31, 0, 0 ], [ 31, 1, 0 ], [ 31, 2, 107 ], [ 31, 3, 107 ], [ 31, 4, 82 ], [ 31, 5, 82 ], [ 31, 6, 48 ], [ 31, 7, 48 ], [ 31, 8, 116 ], [ 31, 9, 116 ], [ 31, 10, 93 ], [ 31, 11, 93 ], [ 31, 12, 71 ], [ 31, 13, 71 ], [ 31, 14, 16 ], [ 31, 15, 16 ], [ 31, 16, 74 ], [ 31, 17, 74 ], [ 31, 18, 64 ], [ 31, 19, 64 ], [ 31, 20, 23 ], [ 31, 21, 23 ], [ 31, 22, 99 ], [ 31, 23, 99 ], [ 31, 24, 48 ], [ 31, 25, 48 ], [ 31, 26, 71 ], [ 31, 27, 71 ], [ 31, 28, 64 ], [ 31, 29, 64 ], [ 31, 30, 0 ], [ 31, 31, 0 ], [ 31, 32, 94 ], [ 31, 33, 94 ], [ 31, 34, 119 ], [ 31, 35, 119 ], [ 31, 36, 107 ], [ 31, 37, 107 ], [ 31, 38, 77 ], [ 31, 39, 77 ], [ 31, 40, 12 ], [ 31, 41, 12 ], [ 31, 42, 82 ], [ 31, 43, 82 ], [ 31, 44, 100 ], [ 31, 45, 100 ], [ 31, 46, 19 ], [ 31, 47, 19 ], [ 31, 48, 0 ], [ 31, 49, 0 ], [ 31, 50, 16 ], [ 31, 51, 16 ], [ 31, 52, 23 ], [ 31, 53, 23 ], [ 31, 54, 48 ], [ 31, 55, 48 ], [ 31, 56, 77 ], [ 31, 57, 77 ], [ 31, 58, 100 ], [ 31, 59, 100 ], [ 31, 60, 116 ], [ 31, 61, 116 ], [ 31, 62, 94 ], [ 31, 63, 94 ], [ 31, 64, 56 ], [ 31, 65, 56 ], [ 31, 66, 93 ], [ 31, 67, 93 ], [ 31, 68, 119 ], [ 31, 69, 119 ], [ 31, 70, 59 ], [ 31, 71, 59 ], [ 31, 72, 107 ], [ 31, 73, 107 ], [ 31, 74, 116 ], [ 31, 75, 116 ], [ 31, 76, 99 ], [ 31, 77, 99 ], [ 31, 78, 71 ], [ 31, 79, 71 ], [ 31, 80, 94 ], [ 31, 81, 94 ], [ 31, 82, 19 ], [ 31, 83, 19 ], [ 31, 84, 16 ], [ 31, 85, 16 ], [ 31, 86, 77 ], [ 31, 87, 77 ], [ 31, 88, 59 ], [ 31, 89, 59 ], [ 31, 90, 74 ], [ 31, 91, 74 ], [ 31, 92, 12 ], [ 31, 93, 12 ], [ 31, 94, 56 ], [ 31, 95, 56 ], [ 31, 96, 82 ], [ 31, 97, 82 ], [ 31, 98, 93 ], [ 31, 99, 93 ], [ 31, 100, 74 ], [ 31, 101, 74 ], [ 31, 102, 64 ], [ 31, 103, 64 ], [ 31, 104, 119 ], [ 31, 105, 119 ], [ 31, 106, 12 ], [ 31, 107, 12 ], [ 31, 108, 23 ], [ 31, 109, 23 ], [ 31, 110, 100 ], [ 31, 111, 100 ], [ 31, 112, 56 ], [ 31, 113, 56 ], [ 31, 114, 99 ], [ 31, 115, 99 ], [ 31, 116, 19 ], [ 31, 117, 19 ], [ 31, 118, 59 ], [ 31, 119, 59 ], [ 32, 0, 0 ], [ 32, 1, 104 ], [ 32, 2, 78 ], [ 32, 3, 107 ], [ 32, 4, 82 ], [ 32, 5, 3 ], [ 32, 6, 12 ], [ 32, 7, 116 ], [ 32, 8, 48 ], [ 32, 9, 111 ], [ 32, 10, 68 ], [ 32, 11, 7 ], [ 32, 12, 74 ], [ 32, 13, 100 ], [ 32, 14, 60 ], [ 32, 15, 108 ], [ 32, 16, 71 ], [ 32, 17, 89 ], [ 32, 18, 94 ], [ 32, 19, 23 ], [ 32, 20, 64 ], [ 32, 21, 11 ], [ 32, 22, 51 ], [ 32, 23, 85 ], [ 32, 24, 48 ], [ 32, 25, 68 ], [ 32, 26, 60 ], [ 32, 27, 71 ], [ 32, 28, 64 ], [ 32, 29, 51 ], [ 32, 30, 74 ], [ 32, 31, 94 ], [ 32, 32, 0 ], [ 32, 33, 45 ], [ 32, 34, 104 ], [ 32, 35, 25 ], [ 32, 36, 12 ], [ 32, 37, 23 ], [ 32, 38, 78 ], [ 32, 39, 42 ], [ 32, 40, 107 ], [ 32, 41, 41 ], [ 32, 42, 116 ], [ 32, 43, 100 ], [ 32, 44, 82 ], [ 32, 45, 29 ], [ 32, 46, 3 ], [ 32, 47, 37 ], [ 32, 48, 78 ], [ 32, 49, 82 ], [ 32, 50, 74 ], [ 32, 51, 89 ], [ 32, 52, 94 ], [ 32, 53, 85 ], [ 32, 54, 60 ], [ 32, 55, 64 ], [ 32, 56, 12 ], [ 32, 57, 41 ], [ 32, 58, 116 ], [ 32, 59, 37 ], [ 32, 60, 0 ], [ 32, 61, 11 ], [ 32, 62, 48 ], [ 32, 63, 29 ], [ 32, 64, 111 ], [ 32, 65, 45 ], [ 32, 66, 104 ], [ 32, 67, 108 ], [ 32, 68, 68 ], [ 32, 69, 42 ], [ 32, 70, 7 ], [ 32, 71, 25 ], [ 32, 72, 0 ], [ 32, 73, 3 ], [ 32, 74, 12 ], [ 32, 75, 7 ], [ 32, 76, 23 ], [ 32, 77, 11 ], [ 32, 78, 48 ], [ 32, 79, 51 ], [ 32, 80, 74 ], [ 32, 81, 25 ], [ 32, 82, 100 ], [ 32, 83, 29 ], [ 32, 84, 78 ], [ 32, 85, 85 ], [ 32, 86, 60 ], [ 32, 87, 37 ], [ 32, 88, 108 ], [ 32, 89, 42 ], [ 32, 90, 107 ], [ 32, 91, 111 ], [ 32, 92, 71 ], [ 32, 93, 45 ], [ 32, 94, 89 ], [ 32, 95, 41 ], [ 32, 96, 104 ], [ 32, 97, 107 ], [ 32, 98, 116 ], [ 32, 99, 111 ], [ 32, 100, 100 ], [ 32, 101, 108 ], [ 32, 102, 68 ], [ 32, 103, 71 ], [ 32, 104, 94 ], [ 32, 105, 45 ], [ 32, 106, 23 ], [ 32, 107, 42 ], [ 32, 108, 82 ], [ 32, 109, 89 ], [ 32, 110, 64 ], [ 32, 111, 41 ], [ 32, 112, 11 ], [ 32, 113, 29 ], [ 32, 114, 3 ], [ 32, 115, 7 ], [ 32, 116, 51 ], [ 32, 117, 25 ], [ 32, 118, 85 ], [ 32, 119, 37 ], [ 33, 0, 0 ], [ 33, 1, 104 ], [ 33, 2, 4 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 5, 82 ], [ 33, 6, 12 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 9, 48 ], [ 33, 10, 96 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 13, 90 ], [ 33, 14, 16 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 17, 60 ], [ 33, 18, 99 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 21, 67 ], [ 33, 22, 94 ], [ 33, 23, 64 ], [ 33, 24, 48 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 27, 60 ], [ 33, 28, 67 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 31, 94 ], [ 33, 32, 99 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 35, 104 ], [ 33, 36, 96 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 39, 4 ], [ 33, 40, 12 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 43, 16 ], [ 33, 44, 90 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 47, 82 ], [ 33, 48, 78 ], [ 33, 49, 82 ], [ 33, 50, 90 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 53, 94 ], [ 33, 54, 60 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 57, 12 ], [ 33, 58, 16 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 61, 99 ], [ 33, 62, 67 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 65, 48 ], [ 33, 66, 4 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 69, 96 ], [ 33, 70, 104 ], [ 33, 71, 68 ], [ 33, 72, 104 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 75, 96 ], [ 33, 76, 99 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 79, 67 ], [ 33, 80, 94 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 83, 90 ], [ 33, 84, 82 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 87, 16 ], [ 33, 88, 4 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 91, 12 ], [ 33, 92, 48 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 95, 60 ], [ 33, 96, 0 ], [ 33, 97, 4 ], [ 33, 98, 12 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 101, 16 ], [ 33, 102, 48 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 105, 99 ], [ 33, 106, 96 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 109, 90 ], [ 33, 110, 60 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 113, 67 ], [ 33, 114, 104 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 117, 94 ], [ 33, 118, 82 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 1, 81 ], [ 34, 2, 107 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 5, 3 ], [ 34, 6, 19 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 9, 73 ], [ 34, 10, 48 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 13, 74 ], [ 34, 14, 60 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 17, 119 ], [ 34, 18, 115 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 21, 23 ], [ 34, 22, 67 ], [ 34, 23, 99 ], [ 34, 24, 48 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 27, 60 ], [ 34, 28, 67 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 31, 119 ], [ 34, 32, 81 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 35, 74 ], [ 34, 36, 23 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 39, 115 ], [ 34, 40, 107 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 43, 73 ], [ 34, 44, 3 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 47, 19 ], [ 34, 48, 103 ], [ 34, 49, 107 ], [ 34, 50, 119 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 53, 115 ], [ 34, 54, 67 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 57, 23 ], [ 34, 58, 19 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 61, 3 ], [ 34, 62, 73 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 65, 81 ], [ 34, 66, 74 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 69, 60 ], [ 34, 70, 48 ], [ 34, 71, 0 ], [ 34, 72, 3 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 75, 19 ], [ 34, 76, 23 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 79, 48 ], [ 34, 80, 74 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 83, 73 ], [ 34, 84, 115 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 87, 67 ], [ 34, 88, 60 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 91, 81 ], [ 34, 92, 119 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 95, 107 ], [ 34, 96, 78 ], [ 34, 97, 81 ], [ 34, 98, 73 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 101, 74 ], [ 34, 102, 60 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 105, 119 ], [ 34, 106, 115 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 109, 107 ], [ 34, 110, 23 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 113, 3 ], [ 34, 114, 19 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 117, 48 ], [ 34, 118, 67 ], [ 34, 119, 103 ], [ 35, 0, 0 ], [ 35, 1, 81 ], [ 35, 2, 4 ], [ 35, 3, 107 ], [ 35, 4, 82 ], [ 35, 5, 103 ], [ 35, 6, 19 ], [ 35, 7, 93 ], [ 35, 8, 7 ], [ 35, 9, 63 ], [ 35, 10, 86 ], [ 35, 11, 48 ], [ 35, 12, 16 ], [ 35, 13, 119 ], [ 35, 14, 8 ], [ 35, 15, 71 ], [ 35, 16, 108 ], [ 35, 17, 52 ], [ 35, 18, 77 ], [ 35, 19, 99 ], [ 35, 20, 85 ], [ 35, 21, 67 ], [ 35, 22, 112 ], [ 35, 23, 64 ], [ 35, 24, 48 ], [ 35, 25, 63 ], [ 35, 26, 52 ], [ 35, 27, 71 ], [ 35, 28, 64 ], [ 35, 29, 67 ], [ 35, 30, 99 ], [ 35, 31, 119 ], [ 35, 32, 25 ], [ 35, 33, 81 ], [ 35, 34, 38 ], [ 35, 35, 0 ], [ 35, 36, 77 ], [ 35, 37, 93 ], [ 35, 38, 26 ], [ 35, 39, 107 ], [ 35, 40, 42 ], [ 35, 41, 4 ], [ 35, 42, 16 ], [ 35, 43, 19 ], [ 35, 44, 37 ], [ 35, 45, 103 ], [ 35, 46, 46 ], [ 35, 47, 82 ], [ 35, 48, 103 ], [ 35, 49, 107 ], [ 35, 50, 108 ], [ 35, 51, 119 ], [ 35, 52, 112 ], [ 35, 53, 99 ], [ 35, 54, 67 ], [ 35, 55, 71 ], [ 35, 56, 42 ], [ 35, 57, 93 ], [ 35, 58, 46 ], [ 35, 59, 19 ], [ 35, 60, 85 ], [ 35, 61, 81 ], [ 35, 62, 37 ], [ 35, 63, 63 ], [ 35, 64, 25 ], [ 35, 65, 7 ], [ 35, 66, 8 ], [ 35, 67, 0 ], [ 35, 68, 26 ], [ 35, 69, 48 ], [ 35, 70, 38 ], [ 35, 71, 86 ], [ 35, 72, 82 ], [ 35, 73, 81 ], [ 35, 74, 86 ], [ 35, 75, 93 ], [ 35, 76, 85 ], [ 35, 77, 77 ], [ 35, 78, 64 ], [ 35, 79, 63 ], [ 35, 80, 38 ], [ 35, 81, 119 ], [ 35, 82, 37 ], [ 35, 83, 16 ], [ 35, 84, 112 ], [ 35, 85, 107 ], [ 35, 86, 46 ], [ 35, 87, 71 ], [ 35, 88, 26 ], [ 35, 89, 8 ], [ 35, 90, 7 ], [ 35, 91, 4 ], [ 35, 92, 25 ], [ 35, 93, 52 ], [ 35, 94, 42 ], [ 35, 95, 108 ], [ 35, 96, 4 ], [ 35, 97, 0 ], [ 35, 98, 7 ], [ 35, 99, 19 ], [ 35, 100, 8 ], [ 35, 101, 16 ], [ 35, 102, 52 ], [ 35, 103, 48 ], [ 35, 104, 25 ], [ 35, 105, 99 ], [ 35, 106, 26 ], [ 35, 107, 77 ], [ 35, 108, 108 ], [ 35, 109, 103 ], [ 35, 110, 42 ], [ 35, 111, 67 ], [ 35, 112, 37 ], [ 35, 113, 85 ], [ 35, 114, 86 ], [ 35, 115, 82 ], [ 35, 116, 38 ], [ 35, 117, 64 ], [ 35, 118, 46 ], [ 35, 119, 112 ], [ 36, 0, 0 ], [ 36, 1, 4 ], [ 36, 2, 56 ], [ 36, 3, 55 ], [ 36, 4, 107 ], [ 36, 5, 103 ], [ 36, 6, 86 ], [ 36, 7, 93 ], [ 36, 8, 48 ], [ 36, 9, 63 ], [ 36, 10, 96 ], [ 36, 11, 116 ], [ 36, 12, 74 ], [ 36, 13, 90 ], [ 36, 14, 8 ], [ 36, 15, 16 ], [ 36, 16, 108 ], [ 36, 17, 119 ], [ 36, 18, 77 ], [ 36, 19, 85 ], [ 36, 20, 23 ], [ 36, 21, 15 ], [ 36, 22, 67 ], [ 36, 23, 64 ], [ 36, 24, 74 ], [ 36, 25, 77 ], [ 36, 26, 86 ], [ 36, 27, 85 ], [ 36, 28, 93 ], [ 36, 29, 90 ], [ 36, 30, 56 ], [ 36, 31, 107 ], [ 36, 32, 8 ], [ 36, 33, 33 ], [ 36, 34, 23 ], [ 36, 35, 46 ], [ 36, 36, 0 ], [ 36, 37, 103 ], [ 36, 38, 48 ], [ 36, 39, 29 ], [ 36, 40, 67 ], [ 36, 41, 45 ], [ 36, 42, 4 ], [ 36, 43, 55 ], [ 36, 44, 96 ], [ 36, 45, 25 ], [ 36, 46, 108 ], [ 36, 47, 34 ], [ 36, 48, 8 ], [ 36, 49, 23 ], [ 36, 50, 0 ], [ 36, 51, 15 ], [ 36, 52, 4 ], [ 36, 53, 16 ], [ 36, 54, 48 ], [ 36, 55, 96 ], [ 36, 56, 74 ], [ 36, 57, 25 ], [ 36, 58, 77 ], [ 36, 59, 29 ], [ 36, 60, 86 ], [ 36, 61, 116 ], [ 36, 62, 56 ], [ 36, 63, 46 ], [ 36, 64, 64 ], [ 36, 65, 34 ], [ 36, 66, 93 ], [ 36, 67, 63 ], [ 36, 68, 107 ], [ 36, 69, 33 ], [ 36, 70, 119 ], [ 36, 71, 45 ], [ 36, 72, 48 ], [ 36, 73, 67 ], [ 36, 74, 56 ], [ 36, 75, 64 ], [ 36, 76, 55 ], [ 36, 77, 63 ], [ 36, 78, 8 ], [ 36, 79, 108 ], [ 36, 80, 86 ], [ 36, 81, 34 ], [ 36, 82, 85 ], [ 36, 83, 33 ], [ 36, 84, 74 ], [ 36, 85, 119 ], [ 36, 86, 0 ], [ 36, 87, 45 ], [ 36, 88, 15 ], [ 36, 89, 25 ], [ 36, 90, 90 ], [ 36, 91, 16 ], [ 36, 92, 103 ], [ 36, 93, 29 ], [ 36, 94, 116 ], [ 36, 95, 46 ], [ 36, 96, 96 ], [ 36, 97, 108 ], [ 36, 98, 107 ], [ 36, 99, 119 ], [ 36, 100, 103 ], [ 36, 101, 116 ], [ 36, 102, 23 ], [ 36, 103, 67 ], [ 36, 104, 93 ], [ 36, 105, 45 ], [ 36, 106, 90 ], [ 36, 107, 46 ], [ 36, 108, 77 ], [ 36, 109, 64 ], [ 36, 110, 4 ], [ 36, 111, 34 ], [ 36, 112, 16 ], [ 36, 113, 29 ], [ 36, 114, 85 ], [ 36, 115, 15 ], [ 36, 116, 55 ], [ 36, 117, 25 ], [ 36, 118, 63 ], [ 36, 119, 33 ], [ 37, 0, 0 ], [ 37, 1, 4 ], [ 37, 2, 107 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 5, 59 ], [ 37, 6, 86 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 9, 111 ], [ 37, 10, 48 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 13, 74 ], [ 37, 14, 20 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 17, 52 ], [ 37, 18, 94 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 21, 23 ], [ 37, 22, 112 ], [ 37, 23, 99 ], [ 37, 24, 74 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 27, 94 ], [ 37, 28, 86 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 31, 107 ], [ 37, 32, 23 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 35, 112 ], [ 37, 36, 59 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 39, 48 ], [ 37, 40, 111 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 43, 4 ], [ 37, 44, 52 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 47, 20 ], [ 37, 48, 8 ], [ 37, 49, 23 ], [ 37, 50, 4 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 53, 20 ], [ 37, 54, 48 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 57, 52 ], [ 37, 58, 74 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 61, 86 ], [ 37, 62, 112 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 65, 94 ], [ 37, 66, 111 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 69, 107 ], [ 37, 70, 59 ], [ 37, 71, 89 ], [ 37, 72, 111 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 75, 112 ], [ 37, 76, 107 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 79, 20 ], [ 37, 80, 94 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 83, 23 ], [ 37, 84, 52 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 87, 59 ], [ 37, 88, 4 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 91, 74 ], [ 37, 92, 48 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 95, 86 ], [ 37, 96, 68 ], [ 37, 97, 52 ], [ 37, 98, 59 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 101, 48 ], [ 37, 102, 112 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 105, 111 ], [ 37, 106, 86 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 109, 94 ], [ 37, 110, 20 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 113, 74 ], [ 37, 114, 23 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 117, 4 ], [ 37, 118, 107 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 1, 104 ], [ 38, 2, 56 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 5, 0 ], [ 38, 6, 12 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 9, 116 ], [ 38, 10, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 13, 119 ], [ 38, 14, 74 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 17, 60 ], [ 38, 18, 64 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 21, 15 ], [ 38, 22, 94 ], [ 38, 23, 64 ], [ 38, 24, 74 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 27, 94 ], [ 38, 28, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 31, 46 ], [ 38, 32, 56 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 35, 26 ], [ 38, 36, 30 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 39, 45 ], [ 38, 40, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 43, 25 ], [ 38, 44, 104 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 47, 34 ], [ 38, 48, 60 ], [ 38, 49, 64 ], [ 38, 50, 56 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 53, 60 ], [ 38, 54, 30 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 57, 34 ], [ 38, 58, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 61, 41 ], [ 38, 62, 12 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 65, 26 ], [ 38, 66, 46 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 69, 37 ], [ 38, 70, 116 ], [ 38, 71, 46 ], [ 38, 72, 12 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 75, 15 ], [ 38, 76, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 79, 25 ], [ 38, 80, 74 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 83, 26 ], [ 38, 84, 30 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 87, 37 ], [ 38, 88, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 91, 41 ], [ 38, 92, 119 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 95, 45 ], [ 38, 96, 116 ], [ 38, 97, 119 ], [ 38, 98, 104 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 101, 116 ], [ 38, 102, 46 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 105, 45 ], [ 38, 106, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 109, 41 ], [ 38, 110, 64 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 113, 34 ], [ 38, 114, 25 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 117, 37 ], [ 38, 118, 15 ], [ 38, 119, 25 ], [ 39, 0, 0 ], [ 39, 1, 104 ], [ 39, 2, 3 ], [ 39, 3, 55 ], [ 39, 4, 107 ], [ 39, 5, 59 ], [ 39, 6, 12 ], [ 39, 7, 116 ], [ 39, 8, 7 ], [ 39, 9, 73 ], [ 39, 10, 111 ], [ 39, 11, 93 ], [ 39, 12, 16 ], [ 39, 13, 60 ], [ 39, 14, 20 ], [ 39, 15, 74 ], [ 39, 16, 71 ], [ 39, 17, 89 ], [ 39, 18, 115 ], [ 39, 19, 64 ], [ 39, 20, 99 ], [ 39, 21, 94 ], [ 39, 22, 51 ], [ 39, 23, 85 ], [ 39, 24, 74 ], [ 39, 25, 94 ], [ 39, 26, 73 ], [ 39, 27, 85 ], [ 39, 28, 93 ], [ 39, 29, 89 ], [ 39, 30, 26 ], [ 39, 31, 46 ], [ 39, 32, 51 ], [ 39, 33, 3 ], [ 39, 34, 71 ], [ 39, 35, 107 ], [ 39, 36, 29 ], [ 39, 37, 30 ], [ 39, 38, 99 ], [ 39, 39, 0 ], [ 39, 40, 111 ], [ 39, 41, 59 ], [ 39, 42, 42 ], [ 39, 43, 34 ], [ 39, 44, 20 ], [ 39, 45, 104 ], [ 39, 46, 7 ], [ 39, 47, 55 ], [ 39, 48, 60 ], [ 39, 49, 64 ], [ 39, 50, 55 ], [ 39, 51, 51 ], [ 39, 52, 59 ], [ 39, 53, 71 ], [ 39, 54, 30 ], [ 39, 55, 34 ], [ 39, 56, 85 ], [ 39, 57, 7 ], [ 39, 58, 89 ], [ 39, 59, 111 ], [ 39, 60, 42 ], [ 39, 61, 26 ], [ 39, 62, 115 ], [ 39, 63, 12 ], [ 39, 64, 107 ], [ 39, 65, 93 ], [ 39, 66, 29 ], [ 39, 67, 46 ], [ 39, 68, 16 ], [ 39, 69, 116 ], [ 39, 70, 3 ], [ 39, 71, 73 ], [ 39, 72, 116 ], [ 39, 73, 115 ], [ 39, 74, 104 ], [ 39, 75, 99 ], [ 39, 76, 107 ], [ 39, 77, 111 ], [ 39, 78, 46 ], [ 39, 79, 42 ], [ 39, 80, 94 ], [ 39, 81, 20 ], [ 39, 82, 93 ], [ 39, 83, 71 ], [ 39, 84, 34 ], [ 39, 85, 29 ], [ 39, 86, 64 ], [ 39, 87, 16 ], [ 39, 88, 59 ], [ 39, 89, 89 ], [ 39, 90, 26 ], [ 39, 91, 30 ], [ 39, 92, 12 ], [ 39, 93, 60 ], [ 39, 94, 0 ], [ 39, 95, 74 ], [ 39, 96, 12 ], [ 39, 97, 16 ], [ 39, 98, 0 ], [ 39, 99, 20 ], [ 39, 100, 3 ], [ 39, 101, 7 ], [ 39, 102, 26 ], [ 39, 103, 29 ], [ 39, 104, 74 ], [ 39, 105, 99 ], [ 39, 106, 73 ], [ 39, 107, 51 ], [ 39, 108, 30 ], [ 39, 109, 42 ], [ 39, 110, 60 ], [ 39, 111, 115 ], [ 39, 112, 55 ], [ 39, 113, 85 ], [ 39, 114, 46 ], [ 39, 115, 34 ], [ 39, 116, 116 ], [ 39, 117, 64 ], [ 39, 118, 104 ], [ 39, 119, 94 ], [ 40, 0, 0 ], [ 40, 1, 55 ], [ 40, 2, 107 ], [ 40, 3, 55 ], [ 40, 4, 107 ], [ 40, 5, 0 ], [ 40, 6, 7 ], [ 40, 7, 48 ], [ 40, 8, 93 ], [ 40, 9, 48 ], [ 40, 10, 93 ], [ 40, 11, 7 ], [ 40, 12, 108 ], [ 40, 13, 71 ], [ 40, 14, 74 ], [ 40, 15, 71 ], [ 40, 16, 74 ], [ 40, 17, 108 ], [ 40, 18, 99 ], [ 40, 19, 23 ], [ 40, 20, 85 ], [ 40, 21, 23 ], [ 40, 22, 85 ], [ 40, 23, 99 ], [ 40, 24, 74 ], [ 40, 25, 85 ], [ 40, 26, 93 ], [ 40, 27, 85 ], [ 40, 28, 93 ], [ 40, 29, 74 ], [ 40, 30, 51 ], [ 40, 31, 8 ], [ 40, 32, 107 ], [ 40, 33, 8 ], [ 40, 34, 107 ], [ 40, 35, 51 ], [ 40, 36, 67 ], [ 40, 37, 111 ], [ 40, 38, 0 ], [ 40, 39, 111 ], [ 40, 40, 0 ], [ 40, 41, 67 ], [ 40, 42, 20 ], [ 40, 43, 96 ], [ 40, 44, 55 ], [ 40, 45, 96 ], [ 40, 46, 55 ], [ 40, 47, 20 ], [ 40, 48, 108 ], [ 40, 49, 99 ], [ 40, 50, 107 ], [ 40, 51, 99 ], [ 40, 52, 107 ], [ 40, 53, 108 ], [ 40, 54, 67 ], [ 40, 55, 20 ], [ 40, 56, 93 ], [ 40, 57, 20 ], [ 40, 58, 93 ], [ 40, 59, 67 ], [ 40, 60, 51 ], [ 40, 61, 81 ], [ 40, 62, 7 ], [ 40, 63, 81 ], [ 40, 64, 7 ], [ 40, 65, 51 ], [ 40, 66, 8 ], [ 40, 67, 78 ], [ 40, 68, 48 ], [ 40, 69, 78 ], [ 40, 70, 48 ], [ 40, 71, 8 ], [ 40, 72, 7 ], [ 40, 73, 23 ], [ 40, 74, 0 ], [ 40, 75, 23 ], [ 40, 76, 0 ], [ 40, 77, 7 ], [ 40, 78, 51 ], [ 40, 79, 96 ], [ 40, 80, 74 ], [ 40, 81, 96 ], [ 40, 82, 74 ], [ 40, 83, 51 ], [ 40, 84, 67 ], [ 40, 85, 78 ], [ 40, 86, 108 ], [ 40, 87, 78 ], [ 40, 88, 108 ], [ 40, 89, 67 ], [ 40, 90, 111 ], [ 40, 91, 81 ], [ 40, 92, 71 ], [ 40, 93, 81 ], [ 40, 94, 71 ], [ 40, 95, 111 ], [ 40, 96, 48 ], [ 40, 97, 71 ], [ 40, 98, 55 ], [ 40, 99, 71 ], [ 40, 100, 55 ], [ 40, 101, 48 ], [ 40, 102, 8 ], [ 40, 103, 111 ], [ 40, 104, 85 ], [ 40, 105, 111 ], [ 40, 106, 85 ], [ 40, 107, 8 ], [ 40, 108, 20 ], [ 40, 109, 81 ], [ 40, 110, 99 ], [ 40, 111, 81 ], [ 40, 112, 99 ], [ 40, 113, 20 ], [ 40, 114, 96 ], [ 40, 115, 78 ], [ 40, 116, 23 ], [ 40, 117, 78 ], [ 40, 118, 23 ], [ 40, 119, 96 ], [ 41, 0, 0 ], [ 41, 1, 55 ], [ 41, 2, 3 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 5, 103 ], [ 41, 6, 7 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 9, 86 ], [ 41, 10, 68 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 13, 100 ], [ 41, 14, 8 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 17, 74 ], [ 41, 18, 67 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 21, 94 ], [ 41, 22, 99 ], [ 41, 23, 85 ], [ 41, 24, 74 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 27, 94 ], [ 41, 28, 86 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 31, 8 ], [ 41, 32, 100 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 35, 3 ], [ 41, 36, 99 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 39, 103 ], [ 41, 40, 67 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 43, 68 ], [ 41, 44, 7 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 47, 55 ], [ 41, 48, 108 ], [ 41, 49, 99 ], [ 41, 50, 103 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 53, 100 ], [ 41, 54, 67 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 57, 68 ], [ 41, 58, 94 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 61, 3 ], [ 41, 62, 55 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 65, 7 ], [ 41, 66, 74 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 69, 86 ], [ 41, 70, 8 ], [ 41, 71, 48 ], [ 41, 72, 68 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 75, 67 ], [ 41, 76, 55 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 79, 7 ], [ 41, 80, 86 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 83, 8 ], [ 41, 84, 94 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 87, 74 ], [ 41, 88, 99 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 91, 103 ], [ 41, 92, 3 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 95, 100 ], [ 41, 96, 19 ], [ 41, 97, 8 ], [ 41, 98, 3 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 101, 7 ], [ 41, 102, 100 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 105, 99 ], [ 41, 106, 74 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 109, 55 ], [ 41, 110, 103 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 113, 67 ], [ 41, 114, 86 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 117, 94 ], [ 41, 118, 68 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 1, 3 ], [ 42, 2, 56 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 5, 82 ], [ 42, 6, 111 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 9, 48 ], [ 42, 10, 86 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 13, 119 ], [ 42, 14, 16 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 17, 89 ], [ 42, 18, 99 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 21, 15 ], [ 42, 22, 51 ], [ 42, 23, 64 ], [ 42, 24, 99 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 27, 111 ], [ 42, 28, 119 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 31, 82 ], [ 42, 32, 89 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 35, 16 ], [ 42, 36, 3 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 39, 51 ], [ 42, 40, 15 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 43, 56 ], [ 42, 44, 48 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 47, 86 ], [ 42, 48, 11 ], [ 42, 49, 16 ], [ 42, 50, 15 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 53, 3 ], [ 42, 54, 48 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 57, 99 ], [ 42, 58, 51 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 61, 86 ], [ 42, 62, 82 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 65, 56 ], [ 42, 66, 111 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 69, 89 ], [ 42, 70, 119 ], [ 42, 71, 81 ], [ 42, 72, 51 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 75, 56 ], [ 42, 76, 48 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 79, 89 ], [ 42, 80, 86 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 83, 111 ], [ 42, 84, 119 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 87, 15 ], [ 42, 88, 99 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 91, 16 ], [ 42, 92, 3 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 95, 82 ], [ 42, 96, 74 ], [ 42, 97, 86 ], [ 42, 98, 89 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 101, 82 ], [ 42, 102, 15 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 105, 119 ], [ 42, 106, 16 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 109, 51 ], [ 42, 110, 56 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 113, 3 ], [ 42, 114, 99 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 117, 48 ], [ 42, 118, 111 ], [ 42, 119, 59 ], [ 43, 0, 0 ], [ 43, 1, 3 ], [ 43, 2, 78 ], [ 43, 3, 82 ], [ 43, 4, 55 ], [ 43, 5, 59 ], [ 43, 6, 111 ], [ 43, 7, 116 ], [ 43, 8, 93 ], [ 43, 9, 73 ], [ 43, 10, 68 ], [ 43, 11, 48 ], [ 43, 12, 108 ], [ 43, 13, 100 ], [ 43, 14, 20 ], [ 43, 15, 16 ], [ 43, 16, 71 ], [ 43, 17, 60 ], [ 43, 18, 115 ], [ 43, 19, 99 ], [ 43, 20, 23 ], [ 43, 21, 11 ], [ 43, 22, 94 ], [ 43, 23, 85 ], [ 43, 24, 99 ], [ 43, 25, 100 ], [ 43, 26, 115 ], [ 43, 27, 116 ], [ 43, 28, 108 ], [ 43, 29, 111 ], [ 43, 30, 59 ], [ 43, 31, 82 ], [ 43, 32, 41 ], [ 43, 33, 16 ], [ 43, 34, 34 ], [ 43, 35, 11 ], [ 43, 36, 55 ], [ 43, 37, 3 ], [ 43, 38, 25 ], [ 43, 39, 73 ], [ 43, 40, 33 ], [ 43, 41, 85 ], [ 43, 42, 78 ], [ 43, 43, 0 ], [ 43, 44, 26 ], [ 43, 45, 48 ], [ 43, 46, 38 ], [ 43, 47, 60 ], [ 43, 48, 11 ], [ 43, 49, 16 ], [ 43, 50, 23 ], [ 43, 51, 3 ], [ 43, 52, 20 ], [ 43, 53, 0 ], [ 43, 54, 48 ], [ 43, 55, 73 ], [ 43, 56, 26 ], [ 43, 57, 100 ], [ 43, 58, 25 ], [ 43, 59, 99 ], [ 43, 60, 68 ], [ 43, 61, 116 ], [ 43, 62, 34 ], [ 43, 63, 82 ], [ 43, 64, 38 ], [ 43, 65, 94 ], [ 43, 66, 93 ], [ 43, 67, 111 ], [ 43, 68, 41 ], [ 43, 69, 59 ], [ 43, 70, 33 ], [ 43, 71, 71 ], [ 43, 72, 85 ], [ 43, 73, 73 ], [ 43, 74, 94 ], [ 43, 75, 82 ], [ 43, 76, 93 ], [ 43, 77, 78 ], [ 43, 78, 60 ], [ 43, 79, 16 ], [ 43, 80, 38 ], [ 43, 81, 116 ], [ 43, 82, 41 ], [ 43, 83, 115 ], [ 43, 84, 71 ], [ 43, 85, 100 ], [ 43, 86, 33 ], [ 43, 87, 3 ], [ 43, 88, 26 ], [ 43, 89, 23 ], [ 43, 90, 20 ], [ 43, 91, 108 ], [ 43, 92, 25 ], [ 43, 93, 55 ], [ 43, 94, 34 ], [ 43, 95, 68 ], [ 43, 96, 60 ], [ 43, 97, 48 ], [ 43, 98, 71 ], [ 43, 99, 59 ], [ 43, 100, 68 ], [ 43, 101, 55 ], [ 43, 102, 85 ], [ 43, 103, 11 ], [ 43, 104, 33 ], [ 43, 105, 111 ], [ 43, 106, 34 ], [ 43, 107, 108 ], [ 43, 108, 94 ], [ 43, 109, 99 ], [ 43, 110, 38 ], [ 43, 111, 0 ], [ 43, 112, 25 ], [ 43, 113, 20 ], [ 43, 114, 23 ], [ 43, 115, 115 ], [ 43, 116, 26 ], [ 43, 117, 78 ], [ 43, 118, 41 ], [ 43, 119, 93 ], [ 44, 0, 0 ], [ 44, 1, 81 ], [ 44, 2, 56 ], [ 44, 3, 82 ], [ 44, 4, 55 ], [ 44, 5, 4 ], [ 44, 6, 19 ], [ 44, 7, 93 ], [ 44, 8, 116 ], [ 44, 9, 86 ], [ 44, 10, 96 ], [ 44, 11, 7 ], [ 44, 12, 71 ], [ 44, 13, 90 ], [ 44, 14, 119 ], [ 44, 15, 74 ], [ 44, 16, 108 ], [ 44, 17, 52 ], [ 44, 18, 67 ], [ 44, 19, 23 ], [ 44, 20, 99 ], [ 44, 21, 15 ], [ 44, 22, 112 ], [ 44, 23, 64 ], [ 44, 24, 99 ], [ 44, 25, 119 ], [ 44, 26, 112 ], [ 44, 27, 116 ], [ 44, 28, 108 ], [ 44, 29, 96 ], [ 44, 30, 29 ], [ 44, 31, 41 ], [ 44, 32, 82 ], [ 44, 33, 64 ], [ 44, 34, 4 ], [ 44, 35, 52 ], [ 44, 36, 33 ], [ 44, 37, 37 ], [ 44, 38, 81 ], [ 44, 39, 15 ], [ 44, 40, 55 ], [ 44, 41, 7 ], [ 44, 42, 30 ], [ 44, 43, 26 ], [ 44, 44, 0 ], [ 44, 45, 74 ], [ 44, 46, 56 ], [ 44, 47, 86 ], [ 44, 48, 67 ], [ 44, 49, 71 ], [ 44, 50, 64 ], [ 44, 51, 56 ], [ 44, 52, 52 ], [ 44, 53, 55 ], [ 44, 54, 30 ], [ 44, 55, 33 ], [ 44, 56, 86 ], [ 44, 57, 112 ], [ 44, 58, 7 ], [ 44, 59, 108 ], [ 44, 60, 41 ], [ 44, 61, 26 ], [ 44, 62, 93 ], [ 44, 63, 23 ], [ 44, 64, 96 ], [ 44, 65, 4 ], [ 44, 66, 29 ], [ 44, 67, 37 ], [ 44, 68, 19 ], [ 44, 69, 90 ], [ 44, 70, 116 ], [ 44, 71, 82 ], [ 44, 72, 23 ], [ 44, 73, 19 ], [ 44, 74, 15 ], [ 44, 75, 0 ], [ 44, 76, 7 ], [ 44, 77, 4 ], [ 44, 78, 26 ], [ 44, 79, 29 ], [ 44, 80, 74 ], [ 44, 81, 99 ], [ 44, 82, 52 ], [ 44, 83, 96 ], [ 44, 84, 37 ], [ 44, 85, 30 ], [ 44, 86, 90 ], [ 44, 87, 67 ], [ 44, 88, 108 ], [ 44, 89, 55 ], [ 44, 90, 33 ], [ 44, 91, 41 ], [ 44, 92, 71 ], [ 44, 93, 93 ], [ 44, 94, 119 ], [ 44, 95, 81 ], [ 44, 96, 90 ], [ 44, 97, 93 ], [ 44, 98, 74 ], [ 44, 99, 81 ], [ 44, 100, 86 ], [ 44, 101, 82 ], [ 44, 102, 37 ], [ 44, 103, 41 ], [ 44, 104, 15 ], [ 44, 105, 119 ], [ 44, 106, 64 ], [ 44, 107, 116 ], [ 44, 108, 26 ], [ 44, 109, 33 ], [ 44, 110, 23 ], [ 44, 111, 71 ], [ 44, 112, 112 ], [ 44, 113, 56 ], [ 44, 114, 30 ], [ 44, 115, 29 ], [ 44, 116, 67 ], [ 44, 117, 19 ], [ 44, 118, 99 ], [ 44, 119, 0 ], [ 45, 0, 0 ], [ 45, 1, 81 ], [ 45, 2, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 5, 59 ], [ 45, 6, 19 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 9, 111 ], [ 45, 10, 93 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 13, 71 ], [ 45, 14, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 17, 119 ], [ 45, 18, 94 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 21, 99 ], [ 45, 22, 67 ], [ 45, 23, 99 ], [ 45, 24, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 27, 111 ], [ 45, 28, 119 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 31, 41 ], [ 45, 32, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 35, 59 ], [ 45, 36, 25 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 39, 81 ], [ 45, 40, 33 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 43, 30 ], [ 45, 44, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 47, 0 ], [ 45, 48, 67 ], [ 45, 49, 71 ], [ 45, 50, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 53, 59 ], [ 45, 54, 30 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 57, 111 ], [ 45, 58, 33 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 61, 41 ], [ 45, 62, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 65, 93 ], [ 45, 66, 46 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 69, 19 ], [ 45, 70, 29 ], [ 45, 71, 19 ], [ 45, 72, 94 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 75, 81 ], [ 45, 76, 93 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 79, 41 ], [ 45, 80, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 83, 119 ], [ 45, 84, 46 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 87, 71 ], [ 45, 88, 33 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 91, 25 ], [ 45, 92, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 95, 20 ], [ 45, 96, 20 ], [ 45, 97, 19 ], [ 45, 98, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 101, 0 ], [ 45, 102, 25 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 105, 99 ], [ 45, 106, 29 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 109, 30 ], [ 45, 110, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 113, 67 ], [ 45, 114, 46 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 117, 94 ], [ 45, 118, 38 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 1, 55 ], [ 46, 2, 78 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 5, 4 ], [ 46, 6, 7 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 9, 63 ], [ 46, 10, 111 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 13, 60 ], [ 46, 14, 119 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 17, 74 ], [ 46, 18, 77 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 21, 11 ], [ 46, 22, 99 ], [ 46, 23, 85 ], [ 46, 24, 99 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 27, 111 ], [ 46, 28, 119 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 31, 11 ], [ 46, 32, 4 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 35, 77 ], [ 46, 36, 63 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 39, 7 ], [ 46, 40, 55 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 43, 74 ], [ 46, 44, 78 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 47, 60 ], [ 46, 48, 85 ], [ 46, 49, 74 ], [ 46, 50, 77 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 53, 78 ], [ 46, 54, 60 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 57, 119 ], [ 46, 58, 63 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 61, 99 ], [ 46, 62, 111 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 65, 11 ], [ 46, 66, 4 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 69, 55 ], [ 46, 70, 7 ], [ 46, 71, 52 ], [ 46, 72, 11 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 75, 4 ], [ 46, 76, 7 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 79, 77 ], [ 46, 80, 74 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 83, 99 ], [ 46, 84, 55 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 87, 78 ], [ 46, 88, 60 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 91, 111 ], [ 46, 92, 119 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 95, 63 ], [ 46, 96, 52 ], [ 46, 97, 63 ], [ 46, 98, 60 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 101, 55 ], [ 46, 102, 7 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 105, 111 ], [ 46, 106, 11 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 109, 119 ], [ 46, 110, 99 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 113, 74 ], [ 46, 114, 78 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 117, 4 ], [ 46, 118, 77 ], [ 46, 119, 12 ], [ 47, 0, 0 ], [ 47, 1, 55 ], [ 47, 2, 0 ], [ 47, 3, 82 ], [ 47, 4, 55 ], [ 47, 5, 82 ], [ 47, 6, 7 ], [ 47, 7, 48 ], [ 47, 8, 7 ], [ 47, 9, 116 ], [ 47, 10, 48 ], [ 47, 11, 116 ], [ 47, 12, 16 ], [ 47, 13, 74 ], [ 47, 14, 16 ], [ 47, 15, 108 ], [ 47, 16, 74 ], [ 47, 17, 108 ], [ 47, 18, 64 ], [ 47, 19, 85 ], [ 47, 20, 64 ], [ 47, 21, 99 ], [ 47, 22, 85 ], [ 47, 23, 99 ], [ 47, 24, 99 ], [ 47, 25, 108 ], [ 47, 26, 99 ], [ 47, 27, 116 ], [ 47, 28, 108 ], [ 47, 29, 116 ], [ 47, 30, 52 ], [ 47, 31, 11 ], [ 47, 32, 52 ], [ 47, 33, 82 ], [ 47, 34, 11 ], [ 47, 35, 82 ], [ 47, 36, 73 ], [ 47, 37, 15 ], [ 47, 38, 73 ], [ 47, 39, 55 ], [ 47, 40, 15 ], [ 47, 41, 55 ], [ 47, 42, 86 ], [ 47, 43, 60 ], [ 47, 44, 86 ], [ 47, 45, 0 ], [ 47, 46, 60 ], [ 47, 47, 0 ], [ 47, 48, 85 ], [ 47, 49, 74 ], [ 47, 50, 85 ], [ 47, 51, 82 ], [ 47, 52, 74 ], [ 47, 53, 82 ], [ 47, 54, 60 ], [ 47, 55, 15 ], [ 47, 56, 60 ], [ 47, 57, 116 ], [ 47, 58, 15 ], [ 47, 59, 116 ], [ 47, 60, 103 ], [ 47, 61, 11 ], [ 47, 62, 103 ], [ 47, 63, 48 ], [ 47, 64, 11 ], [ 47, 65, 48 ], [ 47, 66, 104 ], [ 47, 67, 52 ], [ 47, 68, 104 ], [ 47, 69, 7 ], [ 47, 70, 52 ], [ 47, 71, 7 ], [ 47, 72, 64 ], [ 47, 73, 48 ], [ 47, 74, 64 ], [ 47, 75, 55 ], [ 47, 76, 48 ], [ 47, 77, 55 ], [ 47, 78, 86 ], [ 47, 79, 11 ], [ 47, 80, 86 ], [ 47, 81, 108 ], [ 47, 82, 11 ], [ 47, 83, 108 ], [ 47, 84, 104 ], [ 47, 85, 15 ], [ 47, 86, 104 ], [ 47, 87, 74 ], [ 47, 88, 15 ], [ 47, 89, 74 ], [ 47, 90, 103 ], [ 47, 91, 73 ], [ 47, 92, 103 ], [ 47, 93, 16 ], [ 47, 94, 73 ], [ 47, 95, 16 ], [ 47, 96, 16 ], [ 47, 97, 7 ], [ 47, 98, 16 ], [ 47, 99, 0 ], [ 47, 100, 7 ], [ 47, 101, 0 ], [ 47, 102, 73 ], [ 47, 103, 52 ], [ 47, 104, 73 ], [ 47, 105, 99 ], [ 47, 106, 52 ], [ 47, 107, 99 ], [ 47, 108, 103 ], [ 47, 109, 60 ], [ 47, 110, 103 ], [ 47, 111, 85 ], [ 47, 112, 60 ], [ 47, 113, 85 ], [ 47, 114, 104 ], [ 47, 115, 86 ], [ 47, 116, 104 ], [ 47, 117, 64 ], [ 47, 118, 86 ], [ 47, 119, 64 ], [ 48, 0, 0 ], [ 48, 1, 0 ], [ 48, 2, 12 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 5, 19 ], [ 48, 6, 30 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 9, 26 ], [ 48, 10, 29 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 13, 86 ], [ 48, 14, 74 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 17, 73 ], [ 48, 18, 111 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 21, 99 ], [ 48, 22, 96 ], [ 48, 23, 96 ], [ 48, 24, 30 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 27, 86 ], [ 48, 28, 111 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 31, 0 ], [ 48, 32, 56 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 35, 59 ], [ 48, 36, 12 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 39, 60 ], [ 48, 40, 63 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 43, 19 ], [ 48, 44, 67 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 47, 68 ], [ 48, 48, 0 ], [ 48, 49, 0 ], [ 48, 50, 74 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 53, 99 ], [ 48, 54, 30 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 57, 60 ], [ 48, 58, 67 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 61, 26 ], [ 48, 62, 56 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 65, 51 ], [ 48, 66, 29 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 69, 59 ], [ 48, 70, 52 ], [ 48, 71, 52 ], [ 48, 72, 12 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 75, 26 ], [ 48, 76, 96 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 79, 86 ], [ 48, 80, 56 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 83, 68 ], [ 48, 84, 74 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 87, 60 ], [ 48, 88, 52 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 91, 73 ], [ 48, 92, 63 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 95, 51 ], [ 48, 96, 19 ], [ 48, 97, 19 ], [ 48, 98, 29 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 101, 73 ], [ 48, 102, 111 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 105, 59 ], [ 48, 106, 63 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 109, 99 ], [ 48, 110, 67 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 113, 51 ], [ 48, 114, 96 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 117, 68 ], [ 48, 118, 52 ], [ 48, 119, 52 ], [ 49, 0, 0 ], [ 49, 1, 0 ], [ 49, 2, 23 ], [ 49, 3, 23 ], [ 49, 4, 16 ], [ 49, 5, 16 ], [ 49, 6, 30 ], [ 49, 7, 30 ], [ 49, 8, 41 ], [ 49, 9, 41 ], [ 49, 10, 46 ], [ 49, 11, 46 ], [ 49, 12, 112 ], [ 49, 13, 112 ], [ 49, 14, 119 ], [ 49, 15, 119 ], [ 49, 16, 103 ], [ 49, 17, 103 ], [ 49, 18, 89 ], [ 49, 19, 89 ], [ 49, 20, 94 ], [ 49, 21, 94 ], [ 49, 22, 78 ], [ 49, 23, 78 ], [ 49, 24, 30 ], [ 49, 25, 30 ], [ 49, 26, 112 ], [ 49, 27, 112 ], [ 49, 28, 89 ], [ 49, 29, 89 ], [ 49, 30, 0 ], [ 49, 31, 0 ], [ 49, 32, 82 ], [ 49, 33, 82 ], [ 49, 34, 107 ], [ 49, 35, 107 ], [ 49, 36, 23 ], [ 49, 37, 23 ], [ 49, 38, 90 ], [ 49, 39, 90 ], [ 49, 40, 45 ], [ 49, 41, 45 ], [ 49, 42, 16 ], [ 49, 43, 16 ], [ 49, 44, 115 ], [ 49, 45, 115 ], [ 49, 46, 38 ], [ 49, 47, 38 ], [ 49, 48, 0 ], [ 49, 49, 0 ], [ 49, 50, 119 ], [ 49, 51, 119 ], [ 49, 52, 94 ], [ 49, 53, 94 ], [ 49, 54, 30 ], [ 49, 55, 30 ], [ 49, 56, 90 ], [ 49, 57, 90 ], [ 49, 58, 115 ], [ 49, 59, 115 ], [ 49, 60, 41 ], [ 49, 61, 41 ], [ 49, 62, 82 ], [ 49, 63, 82 ], [ 49, 64, 11 ], [ 49, 65, 11 ], [ 49, 66, 46 ], [ 49, 67, 46 ], [ 49, 68, 107 ], [ 49, 69, 107 ], [ 49, 70, 8 ], [ 49, 71, 8 ], [ 49, 72, 23 ], [ 49, 73, 23 ], [ 49, 74, 41 ], [ 49, 75, 41 ], [ 49, 76, 78 ], [ 49, 77, 78 ], [ 49, 78, 112 ], [ 49, 79, 112 ], [ 49, 80, 82 ], [ 49, 81, 82 ], [ 49, 82, 38 ], [ 49, 83, 38 ], [ 49, 84, 119 ], [ 49, 85, 119 ], [ 49, 86, 90 ], [ 49, 87, 90 ], [ 49, 88, 8 ], [ 49, 89, 8 ], [ 49, 90, 103 ], [ 49, 91, 103 ], [ 49, 92, 45 ], [ 49, 93, 45 ], [ 49, 94, 11 ], [ 49, 95, 11 ], [ 49, 96, 16 ], [ 49, 97, 16 ], [ 49, 98, 46 ], [ 49, 99, 46 ], [ 49, 100, 103 ], [ 49, 101, 103 ], [ 49, 102, 89 ], [ 49, 103, 89 ], [ 49, 104, 107 ], [ 49, 105, 107 ], [ 49, 106, 45 ], [ 49, 107, 45 ], [ 49, 108, 94 ], [ 49, 109, 94 ], [ 49, 110, 115 ], [ 49, 111, 115 ], [ 49, 112, 11 ], [ 49, 113, 11 ], [ 49, 114, 78 ], [ 49, 115, 78 ], [ 49, 116, 38 ], [ 49, 117, 38 ], [ 49, 118, 8 ], [ 49, 119, 8 ], [ 50, 0, 0 ], [ 50, 1, 20 ], [ 50, 2, 12 ], [ 50, 3, 23 ], [ 50, 4, 16 ], [ 50, 5, 3 ], [ 50, 6, 86 ], [ 50, 7, 89 ], [ 50, 8, 78 ], [ 50, 9, 77 ], [ 50, 10, 90 ], [ 50, 11, 73 ], [ 50, 12, 30 ], [ 50, 13, 33 ], [ 50, 14, 38 ], [ 50, 15, 25 ], [ 50, 16, 46 ], [ 50, 17, 29 ], [ 50, 18, 108 ], [ 50, 19, 112 ], [ 50, 20, 119 ], [ 50, 21, 99 ], [ 50, 22, 107 ], [ 50, 23, 96 ], [ 50, 24, 30 ], [ 50, 25, 108 ], [ 50, 26, 86 ], [ 50, 27, 112 ], [ 50, 28, 89 ], [ 50, 29, 33 ], [ 50, 30, 12 ], [ 50, 31, 16 ], [ 50, 32, 38 ], [ 50, 33, 64 ], [ 50, 34, 119 ], [ 50, 35, 63 ], [ 50, 36, 0 ], [ 50, 37, 3 ], [ 50, 38, 78 ], [ 50, 39, 55 ], [ 50, 40, 107 ], [ 50, 41, 59 ], [ 50, 42, 20 ], [ 50, 43, 23 ], [ 50, 44, 90 ], [ 50, 45, 67 ], [ 50, 46, 46 ], [ 50, 47, 68 ], [ 50, 48, 38 ], [ 50, 49, 119 ], [ 50, 50, 0 ], [ 50, 51, 99 ], [ 50, 52, 20 ], [ 50, 53, 25 ], [ 50, 54, 78 ], [ 50, 55, 90 ], [ 50, 56, 30 ], [ 50, 57, 67 ], [ 50, 58, 108 ], [ 50, 59, 55 ], [ 50, 60, 86 ], [ 50, 61, 73 ], [ 50, 62, 12 ], [ 50, 63, 63 ], [ 50, 64, 96 ], [ 50, 65, 68 ], [ 50, 66, 89 ], [ 50, 67, 77 ], [ 50, 68, 16 ], [ 50, 69, 64 ], [ 50, 70, 29 ], [ 50, 71, 59 ], [ 50, 72, 78 ], [ 50, 73, 107 ], [ 50, 74, 12 ], [ 50, 75, 96 ], [ 50, 76, 23 ], [ 50, 77, 77 ], [ 50, 78, 38 ], [ 50, 79, 46 ], [ 50, 80, 86 ], [ 50, 81, 68 ], [ 50, 82, 112 ], [ 50, 83, 64 ], [ 50, 84, 30 ], [ 50, 85, 29 ], [ 50, 86, 0 ], [ 50, 87, 59 ], [ 50, 88, 99 ], [ 50, 89, 67 ], [ 50, 90, 33 ], [ 50, 91, 25 ], [ 50, 92, 3 ], [ 50, 93, 55 ], [ 50, 94, 73 ], [ 50, 95, 63 ], [ 50, 96, 90 ], [ 50, 97, 46 ], [ 50, 98, 16 ], [ 50, 99, 29 ], [ 50, 100, 3 ], [ 50, 101, 73 ], [ 50, 102, 119 ], [ 50, 103, 107 ], [ 50, 104, 89 ], [ 50, 105, 59 ], [ 50, 106, 33 ], [ 50, 107, 63 ], [ 50, 108, 108 ], [ 50, 109, 96 ], [ 50, 110, 20 ], [ 50, 111, 68 ], [ 50, 112, 25 ], [ 50, 113, 55 ], [ 50, 114, 112 ], [ 50, 115, 99 ], [ 50, 116, 23 ], [ 50, 117, 67 ], [ 50, 118, 77 ], [ 50, 119, 64 ], [ 51, 0, 0 ], [ 51, 1, 20 ], [ 51, 2, 4 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 5, 16 ], [ 51, 6, 86 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 9, 78 ], [ 51, 10, 82 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 13, 111 ], [ 51, 14, 119 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 17, 116 ], [ 51, 18, 30 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 21, 45 ], [ 51, 22, 42 ], [ 51, 23, 41 ], [ 51, 24, 30 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 27, 86 ], [ 51, 28, 111 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 31, 16 ], [ 51, 32, 116 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 35, 119 ], [ 51, 36, 20 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 39, 42 ], [ 51, 40, 45 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 43, 4 ], [ 51, 44, 78 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 47, 82 ], [ 51, 48, 38 ], [ 51, 49, 119 ], [ 51, 50, 45 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 53, 20 ], [ 51, 54, 78 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 57, 30 ], [ 51, 58, 42 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 61, 82 ], [ 51, 62, 16 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 65, 4 ], [ 51, 66, 86 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 69, 116 ], [ 51, 70, 111 ], [ 51, 71, 19 ], [ 51, 72, 42 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 75, 4 ], [ 51, 76, 78 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 79, 116 ], [ 51, 80, 82 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 83, 86 ], [ 51, 84, 111 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 87, 45 ], [ 51, 88, 30 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 91, 119 ], [ 51, 92, 20 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 95, 16 ], [ 51, 96, 103 ], [ 51, 97, 82 ], [ 51, 98, 116 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 101, 16 ], [ 51, 102, 45 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 105, 111 ], [ 51, 106, 119 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 109, 42 ], [ 51, 110, 4 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 113, 20 ], [ 51, 114, 30 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 117, 78 ], [ 51, 118, 86 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 1, 15 ], [ 52, 2, 23 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 5, 3 ], [ 52, 6, 111 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 9, 107 ], [ 52, 10, 103 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 13, 30 ], [ 52, 14, 38 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 17, 37 ], [ 52, 18, 86 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 21, 94 ], [ 52, 22, 93 ], [ 52, 23, 78 ], [ 52, 24, 30 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 27, 86 ], [ 52, 28, 111 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 31, 23 ], [ 52, 32, 94 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 35, 93 ], [ 52, 36, 3 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 39, 103 ], [ 52, 40, 107 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 43, 15 ], [ 52, 44, 37 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 47, 38 ], [ 52, 48, 45 ], [ 52, 49, 94 ], [ 52, 50, 15 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 53, 38 ], [ 52, 54, 103 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 57, 37 ], [ 52, 58, 30 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 61, 111 ], [ 52, 62, 93 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 65, 86 ], [ 52, 66, 107 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 69, 23 ], [ 52, 70, 3 ], [ 52, 71, 33 ], [ 52, 72, 107 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 75, 93 ], [ 52, 76, 23 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 79, 38 ], [ 52, 80, 86 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 83, 94 ], [ 52, 84, 37 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 87, 3 ], [ 52, 88, 15 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 91, 30 ], [ 52, 92, 103 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 95, 111 ], [ 52, 96, 116 ], [ 52, 97, 37 ], [ 52, 98, 3 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 101, 103 ], [ 52, 102, 93 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 105, 107 ], [ 52, 106, 111 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 109, 86 ], [ 52, 110, 38 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 113, 30 ], [ 52, 114, 94 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 117, 15 ], [ 52, 118, 23 ], [ 52, 119, 112 ], [ 53, 0, 0 ], [ 53, 1, 15 ], [ 53, 2, 4 ], [ 53, 3, 23 ], [ 53, 4, 16 ], [ 53, 5, 19 ], [ 53, 6, 111 ], [ 53, 7, 112 ], [ 53, 8, 96 ], [ 53, 9, 115 ], [ 53, 10, 100 ], [ 53, 11, 103 ], [ 53, 12, 89 ], [ 53, 13, 85 ], [ 53, 14, 74 ], [ 53, 15, 94 ], [ 53, 16, 73 ], [ 53, 17, 82 ], [ 53, 18, 34 ], [ 53, 19, 30 ], [ 53, 20, 25 ], [ 53, 21, 45 ], [ 53, 22, 26 ], [ 53, 23, 41 ], [ 53, 24, 30 ], [ 53, 25, 85 ], [ 53, 26, 34 ], [ 53, 27, 112 ], [ 53, 28, 89 ], [ 53, 29, 111 ], [ 53, 30, 19 ], [ 53, 31, 23 ], [ 53, 32, 68 ], [ 53, 33, 94 ], [ 53, 34, 71 ], [ 53, 35, 45 ], [ 53, 36, 16 ], [ 53, 37, 15 ], [ 53, 38, 60 ], [ 53, 39, 115 ], [ 53, 40, 63 ], [ 53, 41, 41 ], [ 53, 42, 4 ], [ 53, 43, 0 ], [ 53, 44, 55 ], [ 53, 45, 103 ], [ 53, 46, 56 ], [ 53, 47, 82 ], [ 53, 48, 45 ], [ 53, 49, 94 ], [ 53, 50, 25 ], [ 53, 51, 15 ], [ 53, 52, 74 ], [ 53, 53, 0 ], [ 53, 54, 103 ], [ 53, 55, 115 ], [ 53, 56, 55 ], [ 53, 57, 85 ], [ 53, 58, 60 ], [ 53, 59, 30 ], [ 53, 60, 100 ], [ 53, 61, 112 ], [ 53, 62, 71 ], [ 53, 63, 23 ], [ 53, 64, 56 ], [ 53, 65, 26 ], [ 53, 66, 96 ], [ 53, 67, 111 ], [ 53, 68, 68 ], [ 53, 69, 19 ], [ 53, 70, 63 ], [ 53, 71, 73 ], [ 53, 72, 41 ], [ 53, 73, 115 ], [ 53, 74, 26 ], [ 53, 75, 23 ], [ 53, 76, 96 ], [ 53, 77, 4 ], [ 53, 78, 82 ], [ 53, 79, 94 ], [ 53, 80, 56 ], [ 53, 81, 112 ], [ 53, 82, 68 ], [ 53, 83, 34 ], [ 53, 84, 73 ], [ 53, 85, 85 ], [ 53, 86, 63 ], [ 53, 87, 15 ], [ 53, 88, 55 ], [ 53, 89, 25 ], [ 53, 90, 74 ], [ 53, 91, 89 ], [ 53, 92, 60 ], [ 53, 93, 16 ], [ 53, 94, 71 ], [ 53, 95, 100 ], [ 53, 96, 82 ], [ 53, 97, 103 ], [ 53, 98, 73 ], [ 53, 99, 19 ], [ 53, 100, 100 ], [ 53, 101, 16 ], [ 53, 102, 41 ], [ 53, 103, 45 ], [ 53, 104, 63 ], [ 53, 105, 111 ], [ 53, 106, 71 ], [ 53, 107, 89 ], [ 53, 108, 26 ], [ 53, 109, 30 ], [ 53, 110, 56 ], [ 53, 111, 0 ], [ 53, 112, 60 ], [ 53, 113, 74 ], [ 53, 114, 25 ], [ 53, 115, 34 ], [ 53, 116, 55 ], [ 53, 117, 4 ], [ 53, 118, 68 ], [ 53, 119, 96 ], [ 54, 0, 0 ], [ 54, 1, 0 ], [ 54, 2, 78 ], [ 54, 3, 78 ], [ 54, 4, 103 ], [ 54, 5, 103 ], [ 54, 6, 30 ], [ 54, 7, 30 ], [ 54, 8, 78 ], [ 54, 9, 78 ], [ 54, 10, 103 ], [ 54, 11, 103 ], [ 54, 12, 30 ], [ 54, 13, 30 ], [ 54, 14, 0 ], [ 54, 15, 0 ], [ 54, 16, 103 ], [ 54, 17, 103 ], [ 54, 18, 30 ], [ 54, 19, 30 ], [ 54, 20, 0 ], [ 54, 21, 0 ], [ 54, 22, 78 ], [ 54, 23, 78 ], [ 54, 24, 48 ], [ 54, 25, 48 ], [ 54, 26, 60 ], [ 54, 27, 60 ], [ 54, 28, 67 ], [ 54, 29, 67 ], [ 54, 30, 30 ], [ 54, 31, 30 ], [ 54, 32, 60 ], [ 54, 33, 60 ], [ 54, 34, 67 ], [ 54, 35, 67 ], [ 54, 36, 30 ], [ 54, 37, 30 ], [ 54, 38, 48 ], [ 54, 39, 48 ], [ 54, 40, 67 ], [ 54, 41, 67 ], [ 54, 42, 30 ], [ 54, 43, 30 ], [ 54, 44, 48 ], [ 54, 45, 48 ], [ 54, 46, 60 ], [ 54, 47, 60 ], [ 54, 48, 48 ], [ 54, 49, 48 ], [ 54, 50, 56 ], [ 54, 51, 56 ], [ 54, 52, 59 ], [ 54, 53, 59 ], [ 54, 54, 0 ], [ 54, 55, 0 ], [ 54, 56, 56 ], [ 54, 57, 56 ], [ 54, 58, 59 ], [ 54, 59, 59 ], [ 54, 60, 0 ], [ 54, 61, 0 ], [ 54, 62, 48 ], [ 54, 63, 48 ], [ 54, 64, 59 ], [ 54, 65, 59 ], [ 54, 66, 0 ], [ 54, 67, 0 ], [ 54, 68, 48 ], [ 54, 69, 48 ], [ 54, 70, 56 ], [ 54, 71, 56 ], [ 54, 72, 60 ], [ 54, 73, 60 ], [ 54, 74, 56 ], [ 54, 75, 56 ], [ 54, 76, 55 ], [ 54, 77, 55 ], [ 54, 78, 78 ], [ 54, 79, 78 ], [ 54, 80, 56 ], [ 54, 81, 56 ], [ 54, 82, 55 ], [ 54, 83, 55 ], [ 54, 84, 78 ], [ 54, 85, 78 ], [ 54, 86, 60 ], [ 54, 87, 60 ], [ 54, 88, 55 ], [ 54, 89, 55 ], [ 54, 90, 78 ], [ 54, 91, 78 ], [ 54, 92, 60 ], [ 54, 93, 60 ], [ 54, 94, 56 ], [ 54, 95, 56 ], [ 54, 96, 67 ], [ 54, 97, 67 ], [ 54, 98, 59 ], [ 54, 99, 59 ], [ 54, 100, 55 ], [ 54, 101, 55 ], [ 54, 102, 103 ], [ 54, 103, 103 ], [ 54, 104, 59 ], [ 54, 105, 59 ], [ 54, 106, 55 ], [ 54, 107, 55 ], [ 54, 108, 103 ], [ 54, 109, 103 ], [ 54, 110, 67 ], [ 54, 111, 67 ], [ 54, 112, 55 ], [ 54, 113, 55 ], [ 54, 114, 103 ], [ 54, 115, 103 ], [ 54, 116, 67 ], [ 54, 117, 67 ], [ 54, 118, 59 ], [ 54, 119, 59 ], [ 55, 0, 0 ], [ 55, 1, 0 ], [ 55, 2, 107 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 5, 82 ], [ 55, 6, 30 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 9, 115 ], [ 55, 10, 90 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 13, 33 ], [ 55, 14, 15 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 17, 73 ], [ 55, 18, 34 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 21, 20 ], [ 55, 22, 96 ], [ 55, 23, 96 ], [ 55, 24, 48 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 27, 71 ], [ 55, 28, 64 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 31, 30 ], [ 55, 32, 90 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 35, 115 ], [ 55, 36, 33 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 39, 73 ], [ 55, 40, 15 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 43, 34 ], [ 55, 44, 96 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 47, 20 ], [ 55, 48, 48 ], [ 55, 49, 48 ], [ 55, 50, 64 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 53, 71 ], [ 55, 54, 0 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 57, 82 ], [ 55, 58, 107 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 61, 15 ], [ 55, 62, 73 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 65, 33 ], [ 55, 66, 20 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 69, 96 ], [ 55, 70, 34 ], [ 55, 71, 34 ], [ 55, 72, 71 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 75, 64 ], [ 55, 76, 48 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 79, 107 ], [ 55, 80, 82 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 83, 0 ], [ 55, 84, 115 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 87, 90 ], [ 55, 88, 30 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 91, 96 ], [ 55, 92, 20 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 95, 34 ], [ 55, 96, 64 ], [ 55, 97, 64 ], [ 55, 98, 71 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 101, 48 ], [ 55, 102, 82 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 105, 107 ], [ 55, 106, 0 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 109, 90 ], [ 55, 110, 115 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 113, 30 ], [ 55, 114, 73 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 117, 15 ], [ 55, 118, 33 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 1, 104 ], [ 56, 2, 78 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 5, 3 ], [ 56, 6, 8 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 9, 107 ], [ 56, 10, 46 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 13, 112 ], [ 56, 14, 38 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 17, 82 ], [ 56, 18, 86 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 21, 0 ], [ 56, 22, 26 ], [ 56, 23, 78 ], [ 56, 24, 48 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 27, 71 ], [ 56, 28, 64 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 31, 46 ], [ 56, 32, 8 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 35, 51 ], [ 56, 36, 38 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 39, 68 ], [ 56, 40, 112 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 43, 26 ], [ 56, 44, 86 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 47, 60 ], [ 56, 48, 60 ], [ 56, 49, 64 ], [ 56, 50, 48 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 53, 55 ], [ 56, 54, 78 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 57, 59 ], [ 56, 58, 104 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 61, 82 ], [ 56, 62, 38 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 65, 68 ], [ 56, 66, 86 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 69, 60 ], [ 56, 70, 0 ], [ 56, 71, 48 ], [ 56, 72, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 75, 55 ], [ 56, 76, 71 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 79, 3 ], [ 56, 80, 78 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 83, 59 ], [ 56, 84, 8 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 87, 51 ], [ 56, 88, 107 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 91, 0 ], [ 56, 92, 26 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 95, 60 ], [ 56, 96, 68 ], [ 56, 97, 71 ], [ 56, 98, 64 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 101, 55 ], [ 56, 102, 104 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 105, 59 ], [ 56, 106, 3 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 109, 107 ], [ 56, 110, 46 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 113, 51 ], [ 56, 114, 112 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 117, 68 ], [ 56, 118, 82 ], [ 56, 119, 64 ], [ 57, 0, 0 ], [ 57, 1, 104 ], [ 57, 2, 4 ], [ 57, 3, 78 ], [ 57, 4, 103 ], [ 57, 5, 82 ], [ 57, 6, 8 ], [ 57, 7, 112 ], [ 57, 8, 23 ], [ 57, 9, 26 ], [ 57, 10, 100 ], [ 57, 11, 46 ], [ 57, 12, 7 ], [ 57, 13, 85 ], [ 57, 14, 15 ], [ 57, 15, 25 ], [ 57, 16, 73 ], [ 57, 17, 37 ], [ 57, 18, 111 ], [ 57, 19, 89 ], [ 57, 20, 119 ], [ 57, 21, 45 ], [ 57, 22, 93 ], [ 57, 23, 41 ], [ 57, 24, 48 ], [ 57, 25, 68 ], [ 57, 26, 52 ], [ 57, 27, 60 ], [ 57, 28, 67 ], [ 57, 29, 64 ], [ 57, 30, 26 ], [ 57, 31, 46 ], [ 57, 32, 100 ], [ 57, 33, 8 ], [ 57, 34, 23 ], [ 57, 35, 112 ], [ 57, 36, 25 ], [ 57, 37, 37 ], [ 57, 38, 73 ], [ 57, 39, 7 ], [ 57, 40, 15 ], [ 57, 41, 85 ], [ 57, 42, 45 ], [ 57, 43, 41 ], [ 57, 44, 93 ], [ 57, 45, 111 ], [ 57, 46, 119 ], [ 57, 47, 89 ], [ 57, 48, 60 ], [ 57, 49, 64 ], [ 57, 50, 67 ], [ 57, 51, 48 ], [ 57, 52, 52 ], [ 57, 53, 68 ], [ 57, 54, 78 ], [ 57, 55, 82 ], [ 57, 56, 103 ], [ 57, 57, 0 ], [ 57, 58, 4 ], [ 57, 59, 104 ], [ 57, 60, 85 ], [ 57, 61, 73 ], [ 57, 62, 37 ], [ 57, 63, 15 ], [ 57, 64, 7 ], [ 57, 65, 25 ], [ 57, 66, 89 ], [ 57, 67, 93 ], [ 57, 68, 41 ], [ 57, 69, 119 ], [ 57, 70, 111 ], [ 57, 71, 45 ], [ 57, 72, 68 ], [ 57, 73, 67 ], [ 57, 74, 64 ], [ 57, 75, 52 ], [ 57, 76, 48 ], [ 57, 77, 60 ], [ 57, 78, 104 ], [ 57, 79, 103 ], [ 57, 80, 82 ], [ 57, 81, 4 ], [ 57, 82, 0 ], [ 57, 83, 78 ], [ 57, 84, 112 ], [ 57, 85, 100 ], [ 57, 86, 46 ], [ 57, 87, 23 ], [ 57, 88, 8 ], [ 57, 89, 26 ], [ 57, 90, 111 ], [ 57, 91, 119 ], [ 57, 92, 45 ], [ 57, 93, 93 ], [ 57, 94, 89 ], [ 57, 95, 41 ], [ 57, 96, 48 ], [ 57, 97, 52 ], [ 57, 98, 60 ], [ 57, 99, 67 ], [ 57, 100, 68 ], [ 57, 101, 64 ], [ 57, 102, 0 ], [ 57, 103, 4 ], [ 57, 104, 78 ], [ 57, 105, 103 ], [ 57, 106, 104 ], [ 57, 107, 82 ], [ 57, 108, 8 ], [ 57, 109, 23 ], [ 57, 110, 26 ], [ 57, 111, 100 ], [ 57, 112, 112 ], [ 57, 113, 46 ], [ 57, 114, 7 ], [ 57, 115, 15 ], [ 57, 116, 25 ], [ 57, 117, 73 ], [ 57, 118, 85 ], [ 57, 119, 37 ], [ 58, 0, 0 ], [ 58, 1, 81 ], [ 58, 2, 107 ], [ 58, 3, 78 ], [ 58, 4, 103 ], [ 58, 5, 3 ], [ 58, 6, 11 ], [ 58, 7, 89 ], [ 58, 8, 41 ], [ 58, 9, 77 ], [ 58, 10, 29 ], [ 58, 11, 16 ], [ 58, 12, 112 ], [ 58, 13, 86 ], [ 58, 14, 38 ], [ 58, 15, 94 ], [ 58, 16, 46 ], [ 58, 17, 116 ], [ 58, 18, 108 ], [ 58, 19, 7 ], [ 58, 20, 25 ], [ 58, 21, 20 ], [ 58, 22, 42 ], [ 58, 23, 96 ], [ 58, 24, 48 ], [ 58, 25, 63 ], [ 58, 26, 71 ], [ 58, 27, 60 ], [ 58, 28, 67 ], [ 58, 29, 51 ], [ 58, 30, 29 ], [ 58, 31, 41 ], [ 58, 32, 89 ], [ 58, 33, 16 ], [ 58, 34, 11 ], [ 58, 35, 77 ], [ 58, 36, 46 ], [ 58, 37, 38 ], [ 58, 38, 86 ], [ 58, 39, 116 ], [ 58, 40, 112 ], [ 58, 41, 94 ], [ 58, 42, 42 ], [ 58, 43, 25 ], [ 58, 44, 7 ], [ 58, 45, 96 ], [ 58, 46, 108 ], [ 58, 47, 20 ], [ 58, 48, 67 ], [ 58, 49, 71 ], [ 58, 50, 63 ], [ 58, 51, 51 ], [ 58, 52, 48 ], [ 58, 53, 60 ], [ 58, 54, 103 ], [ 58, 55, 107 ], [ 58, 56, 81 ], [ 58, 57, 3 ], [ 58, 58, 0 ], [ 58, 59, 78 ], [ 58, 60, 116 ], [ 58, 61, 112 ], [ 58, 62, 94 ], [ 58, 63, 46 ], [ 58, 64, 38 ], [ 58, 65, 86 ], [ 58, 66, 96 ], [ 58, 67, 108 ], [ 58, 68, 20 ], [ 58, 69, 42 ], [ 58, 70, 25 ], [ 58, 71, 7 ], [ 58, 72, 51 ], [ 58, 73, 48 ], [ 58, 74, 60 ], [ 58, 75, 67 ], [ 58, 76, 71 ], [ 58, 77, 63 ], [ 58, 78, 3 ], [ 58, 79, 0 ], [ 58, 80, 78 ], [ 58, 81, 103 ], [ 58, 82, 107 ], [ 58, 83, 81 ], [ 58, 84, 16 ], [ 58, 85, 11 ], [ 58, 86, 77 ], [ 58, 87, 29 ], [ 58, 88, 41 ], [ 58, 89, 89 ], [ 58, 90, 20 ], [ 58, 91, 7 ], [ 58, 92, 96 ], [ 58, 93, 25 ], [ 58, 94, 42 ], [ 58, 95, 108 ], [ 58, 96, 60 ], [ 58, 97, 63 ], [ 58, 98, 51 ], [ 58, 99, 71 ], [ 58, 100, 67 ], [ 58, 101, 48 ], [ 58, 102, 78 ], [ 58, 103, 81 ], [ 58, 104, 3 ], [ 58, 105, 107 ], [ 58, 106, 103 ], [ 58, 107, 0 ], [ 58, 108, 77 ], [ 58, 109, 89 ], [ 58, 110, 16 ], [ 58, 111, 41 ], [ 58, 112, 29 ], [ 58, 113, 11 ], [ 58, 114, 94 ], [ 58, 115, 86 ], [ 58, 116, 116 ], [ 58, 117, 38 ], [ 58, 118, 46 ], [ 58, 119, 112 ], [ 59, 0, 0 ], [ 59, 1, 81 ], [ 59, 2, 4 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 5, 103 ], [ 59, 6, 11 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 9, 41 ], [ 59, 10, 82 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 13, 111 ], [ 59, 14, 0 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 17, 29 ], [ 59, 18, 89 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 21, 45 ], [ 59, 22, 107 ], [ 59, 23, 41 ], [ 59, 24, 48 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 27, 71 ], [ 59, 28, 64 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 31, 41 ], [ 59, 32, 52 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 35, 11 ], [ 59, 36, 29 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 39, 111 ], [ 59, 40, 67 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 43, 45 ], [ 59, 44, 63 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 47, 89 ], [ 59, 48, 67 ], [ 59, 49, 71 ], [ 59, 50, 55 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 53, 48 ], [ 59, 54, 103 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 57, 81 ], [ 59, 58, 56 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 61, 111 ], [ 59, 62, 67 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 65, 0 ], [ 59, 66, 107 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 69, 45 ], [ 59, 70, 63 ], [ 59, 71, 81 ], [ 59, 72, 64 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 75, 71 ], [ 59, 76, 55 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 79, 81 ], [ 59, 80, 56 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 83, 4 ], [ 59, 84, 82 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 87, 41 ], [ 59, 88, 52 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 91, 89 ], [ 59, 92, 63 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 95, 107 ], [ 59, 96, 52 ], [ 59, 97, 48 ], [ 59, 98, 55 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 101, 64 ], [ 59, 102, 4 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 105, 103 ], [ 59, 106, 56 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 109, 11 ], [ 59, 110, 52 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 113, 82 ], [ 59, 114, 0 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 117, 29 ], [ 59, 118, 67 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 1, 20 ], [ 60, 2, 26 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 5, 103 ], [ 60, 6, 86 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 9, 41 ], [ 60, 10, 100 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 13, 85 ], [ 60, 14, 0 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 17, 116 ], [ 60, 18, 89 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 21, 15 ], [ 60, 22, 42 ], [ 60, 23, 41 ], [ 60, 24, 26 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 27, 103 ], [ 60, 28, 20 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 31, 89 ], [ 60, 32, 0 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 35, 68 ], [ 60, 36, 86 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 39, 51 ], [ 60, 40, 42 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 43, 85 ], [ 60, 44, 100 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 47, 59 ], [ 60, 48, 26 ], [ 60, 49, 100 ], [ 60, 50, 86 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 53, 41 ], [ 60, 54, 0 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 57, 68 ], [ 60, 58, 89 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 61, 15 ], [ 60, 62, 26 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 65, 59 ], [ 60, 66, 20 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 69, 51 ], [ 60, 70, 116 ], [ 60, 71, 68 ], [ 60, 72, 0 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 75, 116 ], [ 60, 76, 85 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 79, 42 ], [ 60, 80, 86 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 83, 51 ], [ 60, 84, 26 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 87, 59 ], [ 60, 88, 15 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 91, 41 ], [ 60, 92, 103 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 95, 68 ], [ 60, 96, 20 ], [ 60, 97, 42 ], [ 60, 98, 89 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 101, 15 ], [ 60, 102, 100 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 105, 59 ], [ 60, 106, 85 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 109, 116 ], [ 60, 110, 20 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 113, 51 ], [ 60, 114, 103 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 117, 68 ], [ 60, 118, 41 ], [ 60, 119, 59 ], [ 61, 0, 0 ], [ 61, 1, 20 ], [ 61, 2, 107 ], [ 61, 3, 96 ], [ 61, 4, 46 ], [ 61, 5, 29 ], [ 61, 6, 86 ], [ 61, 7, 89 ], [ 61, 8, 96 ], [ 61, 9, 107 ], [ 61, 10, 29 ], [ 61, 11, 46 ], [ 61, 12, 89 ], [ 61, 13, 86 ], [ 61, 14, 20 ], [ 61, 15, 0 ], [ 61, 16, 46 ], [ 61, 17, 29 ], [ 61, 18, 86 ], [ 61, 19, 89 ], [ 61, 20, 0 ], [ 61, 21, 20 ], [ 61, 22, 107 ], [ 61, 23, 96 ], [ 61, 24, 26 ], [ 61, 25, 100 ], [ 61, 26, 45 ], [ 61, 27, 19 ], [ 61, 28, 104 ], [ 61, 29, 4 ], [ 61, 30, 86 ], [ 61, 31, 89 ], [ 61, 32, 19 ], [ 61, 33, 45 ], [ 61, 34, 4 ], [ 61, 35, 104 ], [ 61, 36, 89 ], [ 61, 37, 86 ], [ 61, 38, 100 ], [ 61, 39, 26 ], [ 61, 40, 104 ], [ 61, 41, 4 ], [ 61, 42, 86 ], [ 61, 43, 89 ], [ 61, 44, 26 ], [ 61, 45, 100 ], [ 61, 46, 45 ], [ 61, 47, 19 ], [ 61, 48, 26 ], [ 61, 49, 100 ], [ 61, 50, 34 ], [ 61, 51, 82 ], [ 61, 52, 111 ], [ 61, 53, 93 ], [ 61, 54, 0 ], [ 61, 55, 20 ], [ 61, 56, 82 ], [ 61, 57, 34 ], [ 61, 58, 93 ], [ 61, 59, 111 ], [ 61, 60, 20 ], [ 61, 61, 0 ], [ 61, 62, 100 ], [ 61, 63, 26 ], [ 61, 64, 111 ], [ 61, 65, 93 ], [ 61, 66, 0 ], [ 61, 67, 20 ], [ 61, 68, 26 ], [ 61, 69, 100 ], [ 61, 70, 34 ], [ 61, 71, 82 ], [ 61, 72, 45 ], [ 61, 73, 19 ], [ 61, 74, 34 ], [ 61, 75, 82 ], [ 61, 76, 8 ], [ 61, 77, 74 ], [ 61, 78, 107 ], [ 61, 79, 96 ], [ 61, 80, 82 ], [ 61, 81, 34 ], [ 61, 82, 74 ], [ 61, 83, 8 ], [ 61, 84, 96 ], [ 61, 85, 107 ], [ 61, 86, 19 ], [ 61, 87, 45 ], [ 61, 88, 8 ], [ 61, 89, 74 ], [ 61, 90, 107 ], [ 61, 91, 96 ], [ 61, 92, 45 ], [ 61, 93, 19 ], [ 61, 94, 34 ], [ 61, 95, 82 ], [ 61, 96, 104 ], [ 61, 97, 4 ], [ 61, 98, 111 ], [ 61, 99, 93 ], [ 61, 100, 8 ], [ 61, 101, 74 ], [ 61, 102, 46 ], [ 61, 103, 29 ], [ 61, 104, 93 ], [ 61, 105, 111 ], [ 61, 106, 74 ], [ 61, 107, 8 ], [ 61, 108, 29 ], [ 61, 109, 46 ], [ 61, 110, 4 ], [ 61, 111, 104 ], [ 61, 112, 8 ], [ 61, 113, 74 ], [ 61, 114, 46 ], [ 61, 115, 29 ], [ 61, 116, 104 ], [ 61, 117, 4 ], [ 61, 118, 111 ], [ 61, 119, 93 ], [ 62, 0, 0 ], [ 62, 1, 104 ], [ 62, 2, 26 ], [ 62, 3, 96 ], [ 62, 4, 46 ], [ 62, 5, 19 ], [ 62, 6, 8 ], [ 62, 7, 112 ], [ 62, 8, 78 ], [ 62, 9, 115 ], [ 62, 10, 82 ], [ 62, 11, 16 ], [ 62, 12, 30 ], [ 62, 13, 111 ], [ 62, 14, 74 ], [ 62, 15, 119 ], [ 62, 16, 73 ], [ 62, 17, 37 ], [ 62, 18, 34 ], [ 62, 19, 7 ], [ 62, 20, 94 ], [ 62, 21, 15 ], [ 62, 22, 93 ], [ 62, 23, 41 ], [ 62, 24, 26 ], [ 62, 25, 46 ], [ 62, 26, 0 ], [ 62, 27, 19 ], [ 62, 28, 104 ], [ 62, 29, 96 ], [ 62, 30, 74 ], [ 62, 31, 94 ], [ 62, 32, 30 ], [ 62, 33, 67 ], [ 62, 34, 34 ], [ 62, 35, 52 ], [ 62, 36, 78 ], [ 62, 37, 93 ], [ 62, 38, 8 ], [ 62, 39, 71 ], [ 62, 40, 7 ], [ 62, 41, 55 ], [ 62, 42, 82 ], [ 62, 43, 73 ], [ 62, 44, 112 ], [ 62, 45, 51 ], [ 62, 46, 111 ], [ 62, 47, 59 ], [ 62, 48, 78 ], [ 62, 49, 82 ], [ 62, 50, 8 ], [ 62, 51, 16 ], [ 62, 52, 112 ], [ 62, 53, 115 ], [ 62, 54, 30 ], [ 62, 55, 34 ], [ 62, 56, 74 ], [ 62, 57, 52 ], [ 62, 58, 94 ], [ 62, 59, 67 ], [ 62, 60, 26 ], [ 62, 61, 41 ], [ 62, 62, 0 ], [ 62, 63, 59 ], [ 62, 64, 15 ], [ 62, 65, 51 ], [ 62, 66, 46 ], [ 62, 67, 37 ], [ 62, 68, 104 ], [ 62, 69, 55 ], [ 62, 70, 119 ], [ 62, 71, 71 ], [ 62, 72, 74 ], [ 62, 73, 73 ], [ 62, 74, 30 ], [ 62, 75, 37 ], [ 62, 76, 111 ], [ 62, 77, 119 ], [ 62, 78, 8 ], [ 62, 79, 7 ], [ 62, 80, 78 ], [ 62, 81, 55 ], [ 62, 82, 93 ], [ 62, 83, 71 ], [ 62, 84, 0 ], [ 62, 85, 15 ], [ 62, 86, 26 ], [ 62, 87, 51 ], [ 62, 88, 41 ], [ 62, 89, 59 ], [ 62, 90, 19 ], [ 62, 91, 16 ], [ 62, 92, 96 ], [ 62, 93, 52 ], [ 62, 94, 115 ], [ 62, 95, 67 ], [ 62, 96, 94 ], [ 62, 97, 93 ], [ 62, 98, 34 ], [ 62, 99, 41 ], [ 62, 100, 7 ], [ 62, 101, 15 ], [ 62, 102, 112 ], [ 62, 103, 111 ], [ 62, 104, 82 ], [ 62, 105, 59 ], [ 62, 106, 73 ], [ 62, 107, 51 ], [ 62, 108, 104 ], [ 62, 109, 119 ], [ 62, 110, 46 ], [ 62, 111, 71 ], [ 62, 112, 37 ], [ 62, 113, 55 ], [ 62, 114, 96 ], [ 62, 115, 115 ], [ 62, 116, 19 ], [ 62, 117, 67 ], [ 62, 118, 16 ], [ 62, 119, 52 ], [ 63, 0, 0 ], [ 63, 1, 104 ], [ 63, 2, 23 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 5, 29 ], [ 63, 6, 8 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 9, 77 ], [ 63, 10, 103 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 13, 30 ], [ 63, 14, 20 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 17, 82 ], [ 63, 18, 108 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 21, 94 ], [ 63, 22, 26 ], [ 63, 23, 78 ], [ 63, 24, 26 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 27, 103 ], [ 63, 28, 20 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 31, 94 ], [ 63, 32, 29 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 35, 108 ], [ 63, 36, 77 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 39, 8 ], [ 63, 40, 104 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 43, 82 ], [ 63, 44, 23 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 47, 30 ], [ 63, 48, 78 ], [ 63, 49, 82 ], [ 63, 50, 108 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 53, 23 ], [ 63, 54, 30 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 57, 20 ], [ 63, 58, 77 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 61, 26 ], [ 63, 62, 103 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 65, 94 ], [ 63, 66, 29 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 69, 104 ], [ 63, 70, 8 ], [ 63, 71, 74 ], [ 63, 72, 94 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 75, 29 ], [ 63, 76, 8 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 79, 108 ], [ 63, 80, 82 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 83, 26 ], [ 63, 84, 104 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 87, 23 ], [ 63, 88, 30 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 91, 103 ], [ 63, 92, 20 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 95, 77 ], [ 63, 96, 74 ], [ 63, 97, 77 ], [ 63, 98, 30 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 101, 104 ], [ 63, 102, 8 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 105, 103 ], [ 63, 106, 94 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 109, 20 ], [ 63, 110, 26 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 113, 82 ], [ 63, 114, 23 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 117, 29 ], [ 63, 118, 108 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 1, 25 ], [ 64, 2, 107 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 5, 19 ], [ 64, 6, 7 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 9, 26 ], [ 64, 10, 90 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 13, 33 ], [ 64, 14, 74 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 17, 103 ], [ 64, 18, 111 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 21, 20 ], [ 64, 22, 78 ], [ 64, 23, 96 ], [ 64, 24, 26 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 27, 103 ], [ 64, 28, 20 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 31, 78 ], [ 64, 32, 111 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 35, 25 ], [ 64, 36, 90 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 39, 107 ], [ 64, 40, 7 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 43, 74 ], [ 64, 44, 33 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 47, 19 ], [ 64, 48, 42 ], [ 64, 49, 19 ], [ 64, 50, 33 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 53, 78 ], [ 64, 54, 103 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 57, 7 ], [ 64, 58, 74 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 61, 111 ], [ 64, 62, 20 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 65, 26 ], [ 64, 66, 107 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 69, 90 ], [ 64, 70, 25 ], [ 64, 71, 3 ], [ 64, 72, 25 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 75, 90 ], [ 64, 76, 111 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 79, 20 ], [ 64, 80, 78 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 83, 33 ], [ 64, 84, 19 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 87, 74 ], [ 64, 88, 107 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 91, 7 ], [ 64, 92, 26 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 95, 103 ], [ 64, 96, 0 ], [ 64, 97, 107 ], [ 64, 98, 7 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 101, 74 ], [ 64, 102, 26 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 105, 111 ], [ 64, 106, 90 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 109, 33 ], [ 64, 110, 103 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 113, 20 ], [ 64, 114, 25 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 117, 78 ], [ 64, 118, 19 ], [ 64, 119, 96 ], [ 65, 0, 0 ], [ 65, 1, 25 ], [ 65, 2, 23 ], [ 65, 3, 96 ], [ 65, 4, 46 ], [ 65, 5, 103 ], [ 65, 6, 7 ], [ 65, 7, 30 ], [ 65, 8, 23 ], [ 65, 9, 78 ], [ 65, 10, 46 ], [ 65, 11, 73 ], [ 65, 12, 7 ], [ 65, 13, 112 ], [ 65, 14, 0 ], [ 65, 15, 94 ], [ 65, 16, 103 ], [ 65, 17, 73 ], [ 65, 18, 30 ], [ 65, 19, 112 ], [ 65, 20, 25 ], [ 65, 21, 94 ], [ 65, 22, 96 ], [ 65, 23, 78 ], [ 65, 24, 26 ], [ 65, 25, 3 ], [ 65, 26, 99 ], [ 65, 27, 19 ], [ 65, 28, 104 ], [ 65, 29, 42 ], [ 65, 30, 73 ], [ 65, 31, 78 ], [ 65, 32, 99 ], [ 65, 33, 30 ], [ 65, 34, 104 ], [ 65, 35, 7 ], [ 65, 36, 73 ], [ 65, 37, 94 ], [ 65, 38, 26 ], [ 65, 39, 112 ], [ 65, 40, 42 ], [ 65, 41, 7 ], [ 65, 42, 78 ], [ 65, 43, 94 ], [ 65, 44, 3 ], [ 65, 45, 112 ], [ 65, 46, 19 ], [ 65, 47, 30 ], [ 65, 48, 42 ], [ 65, 49, 19 ], [ 65, 50, 85 ], [ 65, 51, 3 ], [ 65, 52, 86 ], [ 65, 53, 26 ], [ 65, 54, 103 ], [ 65, 55, 96 ], [ 65, 56, 85 ], [ 65, 57, 25 ], [ 65, 58, 86 ], [ 65, 59, 0 ], [ 65, 60, 103 ], [ 65, 61, 112 ], [ 65, 62, 42 ], [ 65, 63, 94 ], [ 65, 64, 26 ], [ 65, 65, 0 ], [ 65, 66, 96 ], [ 65, 67, 112 ], [ 65, 68, 19 ], [ 65, 69, 94 ], [ 65, 70, 3 ], [ 65, 71, 25 ], [ 65, 72, 104 ], [ 65, 73, 3 ], [ 65, 74, 86 ], [ 65, 75, 19 ], [ 65, 76, 85 ], [ 65, 77, 99 ], [ 65, 78, 46 ], [ 65, 79, 25 ], [ 65, 80, 86 ], [ 65, 81, 96 ], [ 65, 82, 85 ], [ 65, 83, 23 ], [ 65, 84, 46 ], [ 65, 85, 30 ], [ 65, 86, 104 ], [ 65, 87, 78 ], [ 65, 88, 99 ], [ 65, 89, 23 ], [ 65, 90, 25 ], [ 65, 91, 30 ], [ 65, 92, 3 ], [ 65, 93, 78 ], [ 65, 94, 19 ], [ 65, 95, 96 ], [ 65, 96, 99 ], [ 65, 97, 26 ], [ 65, 98, 85 ], [ 65, 99, 42 ], [ 65, 100, 86 ], [ 65, 101, 104 ], [ 65, 102, 23 ], [ 65, 103, 0 ], [ 65, 104, 85 ], [ 65, 105, 103 ], [ 65, 106, 86 ], [ 65, 107, 46 ], [ 65, 108, 23 ], [ 65, 109, 7 ], [ 65, 110, 99 ], [ 65, 111, 73 ], [ 65, 112, 104 ], [ 65, 113, 46 ], [ 65, 114, 0 ], [ 65, 115, 7 ], [ 65, 116, 26 ], [ 65, 117, 73 ], [ 65, 118, 42 ], [ 65, 119, 103 ], [ 66, 0, 0 ], [ 66, 1, 15 ], [ 66, 2, 26 ], [ 66, 3, 41 ], [ 66, 4, 73 ], [ 66, 5, 82 ], [ 66, 6, 111 ], [ 66, 7, 112 ], [ 66, 8, 41 ], [ 66, 9, 26 ], [ 66, 10, 82 ], [ 66, 11, 73 ], [ 66, 12, 112 ], [ 66, 13, 111 ], [ 66, 14, 15 ], [ 66, 15, 0 ], [ 66, 16, 73 ], [ 66, 17, 82 ], [ 66, 18, 111 ], [ 66, 19, 112 ], [ 66, 20, 0 ], [ 66, 21, 15 ], [ 66, 22, 26 ], [ 66, 23, 41 ], [ 66, 24, 29 ], [ 66, 25, 77 ], [ 66, 26, 3 ], [ 66, 27, 81 ], [ 66, 28, 12 ], [ 66, 29, 38 ], [ 66, 30, 111 ], [ 66, 31, 112 ], [ 66, 32, 81 ], [ 66, 33, 3 ], [ 66, 34, 38 ], [ 66, 35, 12 ], [ 66, 36, 112 ], [ 66, 37, 111 ], [ 66, 38, 77 ], [ 66, 39, 29 ], [ 66, 40, 12 ], [ 66, 41, 38 ], [ 66, 42, 111 ], [ 66, 43, 112 ], [ 66, 44, 29 ], [ 66, 45, 77 ], [ 66, 46, 3 ], [ 66, 47, 81 ], [ 66, 48, 29 ], [ 66, 49, 77 ], [ 66, 50, 116 ], [ 66, 51, 86 ], [ 66, 52, 107 ], [ 66, 53, 33 ], [ 66, 54, 0 ], [ 66, 55, 15 ], [ 66, 56, 86 ], [ 66, 57, 116 ], [ 66, 58, 33 ], [ 66, 59, 107 ], [ 66, 60, 15 ], [ 66, 61, 0 ], [ 66, 62, 77 ], [ 66, 63, 29 ], [ 66, 64, 107 ], [ 66, 65, 33 ], [ 66, 66, 0 ], [ 66, 67, 15 ], [ 66, 68, 29 ], [ 66, 69, 77 ], [ 66, 70, 116 ], [ 66, 71, 86 ], [ 66, 72, 3 ], [ 66, 73, 81 ], [ 66, 74, 116 ], [ 66, 75, 86 ], [ 66, 76, 99 ], [ 66, 77, 11 ], [ 66, 78, 26 ], [ 66, 79, 41 ], [ 66, 80, 86 ], [ 66, 81, 116 ], [ 66, 82, 11 ], [ 66, 83, 99 ], [ 66, 84, 41 ], [ 66, 85, 26 ], [ 66, 86, 81 ], [ 66, 87, 3 ], [ 66, 88, 99 ], [ 66, 89, 11 ], [ 66, 90, 26 ], [ 66, 91, 41 ], [ 66, 92, 3 ], [ 66, 93, 81 ], [ 66, 94, 116 ], [ 66, 95, 86 ], [ 66, 96, 12 ], [ 66, 97, 38 ], [ 66, 98, 107 ], [ 66, 99, 33 ], [ 66, 100, 99 ], [ 66, 101, 11 ], [ 66, 102, 73 ], [ 66, 103, 82 ], [ 66, 104, 33 ], [ 66, 105, 107 ], [ 66, 106, 11 ], [ 66, 107, 99 ], [ 66, 108, 82 ], [ 66, 109, 73 ], [ 66, 110, 38 ], [ 66, 111, 12 ], [ 66, 112, 99 ], [ 66, 113, 11 ], [ 66, 114, 73 ], [ 66, 115, 82 ], [ 66, 116, 12 ], [ 66, 117, 38 ], [ 66, 118, 107 ], [ 66, 119, 33 ], [ 67, 0, 0 ], [ 67, 1, 15 ], [ 67, 2, 78 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 5, 29 ], [ 67, 6, 111 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 9, 77 ], [ 67, 10, 46 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 13, 112 ], [ 67, 14, 20 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 17, 37 ], [ 67, 18, 108 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 21, 0 ], [ 67, 22, 93 ], [ 67, 23, 78 ], [ 67, 24, 29 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 27, 15 ], [ 67, 28, 78 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 31, 112 ], [ 67, 32, 63 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 35, 0 ], [ 67, 36, 108 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 39, 77 ], [ 67, 40, 56 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 43, 111 ], [ 67, 44, 52 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 47, 37 ], [ 67, 48, 29 ], [ 67, 49, 77 ], [ 67, 50, 46 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 53, 111 ], [ 67, 54, 0 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 57, 112 ], [ 67, 58, 63 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 61, 15 ], [ 67, 62, 52 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 65, 93 ], [ 67, 66, 20 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 69, 29 ], [ 67, 70, 56 ], [ 67, 71, 46 ], [ 67, 72, 37 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 75, 112 ], [ 67, 76, 20 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 79, 77 ], [ 67, 80, 56 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 83, 108 ], [ 67, 84, 93 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 87, 15 ], [ 67, 88, 52 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 91, 78 ], [ 67, 92, 63 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 95, 46 ], [ 67, 96, 78 ], [ 67, 97, 0 ], [ 67, 98, 93 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 101, 108 ], [ 67, 102, 37 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 105, 111 ], [ 67, 106, 52 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 109, 29 ], [ 67, 110, 56 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 113, 20 ], [ 67, 114, 46 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 117, 78 ], [ 67, 118, 63 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 1, 81 ], [ 68, 2, 26 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 5, 16 ], [ 68, 6, 11 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 9, 78 ], [ 68, 10, 100 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 13, 85 ], [ 68, 14, 119 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 17, 29 ], [ 68, 18, 30 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 21, 15 ], [ 68, 22, 107 ], [ 68, 23, 41 ], [ 68, 24, 29 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 27, 15 ], [ 68, 28, 78 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 31, 119 ], [ 68, 32, 85 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 35, 26 ], [ 68, 36, 107 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 39, 16 ], [ 68, 40, 30 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 43, 100 ], [ 68, 44, 11 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 47, 81 ], [ 68, 48, 103 ], [ 68, 49, 107 ], [ 68, 50, 16 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 53, 85 ], [ 68, 54, 30 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 57, 100 ], [ 68, 58, 15 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 61, 26 ], [ 68, 62, 81 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 65, 11 ], [ 68, 66, 29 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 69, 78 ], [ 68, 70, 119 ], [ 68, 71, 89 ], [ 68, 72, 100 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 75, 30 ], [ 68, 76, 81 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 79, 11 ], [ 68, 80, 78 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 83, 119 ], [ 68, 84, 15 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 87, 29 ], [ 68, 88, 107 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 91, 16 ], [ 68, 92, 26 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 95, 85 ], [ 68, 96, 115 ], [ 68, 97, 119 ], [ 68, 98, 26 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 101, 11 ], [ 68, 102, 85 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 105, 107 ], [ 68, 106, 29 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 109, 81 ], [ 68, 110, 16 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 113, 30 ], [ 68, 114, 78 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 117, 15 ], [ 68, 118, 100 ], [ 68, 119, 8 ], [ 69, 0, 0 ], [ 69, 1, 81 ], [ 69, 2, 12 ], [ 69, 3, 41 ], [ 69, 4, 73 ], [ 69, 5, 29 ], [ 69, 6, 11 ], [ 69, 7, 89 ], [ 69, 8, 23 ], [ 69, 9, 107 ], [ 69, 10, 90 ], [ 69, 11, 103 ], [ 69, 12, 7 ], [ 69, 13, 33 ], [ 69, 14, 20 ], [ 69, 15, 119 ], [ 69, 16, 46 ], [ 69, 17, 116 ], [ 69, 18, 86 ], [ 69, 19, 30 ], [ 69, 20, 94 ], [ 69, 21, 99 ], [ 69, 22, 42 ], [ 69, 23, 96 ], [ 69, 24, 29 ], [ 69, 25, 41 ], [ 69, 26, 73 ], [ 69, 27, 81 ], [ 69, 28, 12 ], [ 69, 29, 0 ], [ 69, 30, 99 ], [ 69, 31, 119 ], [ 69, 32, 51 ], [ 69, 33, 33 ], [ 69, 34, 60 ], [ 69, 35, 30 ], [ 69, 36, 96 ], [ 69, 37, 107 ], [ 69, 38, 52 ], [ 69, 39, 89 ], [ 69, 40, 56 ], [ 69, 41, 86 ], [ 69, 42, 116 ], [ 69, 43, 103 ], [ 69, 44, 64 ], [ 69, 45, 11 ], [ 69, 46, 55 ], [ 69, 47, 7 ], [ 69, 48, 103 ], [ 69, 49, 107 ], [ 69, 50, 90 ], [ 69, 51, 89 ], [ 69, 52, 23 ], [ 69, 53, 11 ], [ 69, 54, 30 ], [ 69, 55, 33 ], [ 69, 56, 60 ], [ 69, 57, 119 ], [ 69, 58, 51 ], [ 69, 59, 99 ], [ 69, 60, 42 ], [ 69, 61, 41 ], [ 69, 62, 55 ], [ 69, 63, 81 ], [ 69, 64, 64 ], [ 69, 65, 94 ], [ 69, 66, 46 ], [ 69, 67, 29 ], [ 69, 68, 56 ], [ 69, 69, 0 ], [ 69, 70, 52 ], [ 69, 71, 20 ], [ 69, 72, 116 ], [ 69, 73, 119 ], [ 69, 74, 46 ], [ 69, 75, 33 ], [ 69, 76, 20 ], [ 69, 77, 7 ], [ 69, 78, 86 ], [ 69, 79, 89 ], [ 69, 80, 56 ], [ 69, 81, 107 ], [ 69, 82, 52 ], [ 69, 83, 96 ], [ 69, 84, 94 ], [ 69, 85, 81 ], [ 69, 86, 64 ], [ 69, 87, 41 ], [ 69, 88, 55 ], [ 69, 89, 42 ], [ 69, 90, 90 ], [ 69, 91, 73 ], [ 69, 92, 60 ], [ 69, 93, 12 ], [ 69, 94, 51 ], [ 69, 95, 23 ], [ 69, 96, 96 ], [ 69, 97, 99 ], [ 69, 98, 42 ], [ 69, 99, 30 ], [ 69, 100, 94 ], [ 69, 101, 86 ], [ 69, 102, 7 ], [ 69, 103, 11 ], [ 69, 104, 55 ], [ 69, 105, 103 ], [ 69, 106, 64 ], [ 69, 107, 116 ], [ 69, 108, 20 ], [ 69, 109, 0 ], [ 69, 110, 52 ], [ 69, 111, 29 ], [ 69, 112, 56 ], [ 69, 113, 46 ], [ 69, 114, 23 ], [ 69, 115, 12 ], [ 69, 116, 51 ], [ 69, 117, 73 ], [ 69, 118, 60 ], [ 69, 119, 90 ], [ 70, 0, 0 ], [ 70, 1, 25 ], [ 70, 2, 78 ], [ 70, 3, 41 ], [ 70, 4, 73 ], [ 70, 5, 16 ], [ 70, 6, 7 ], [ 70, 7, 30 ], [ 70, 8, 96 ], [ 70, 9, 41 ], [ 70, 10, 103 ], [ 70, 11, 16 ], [ 70, 12, 89 ], [ 70, 13, 30 ], [ 70, 14, 119 ], [ 70, 15, 25 ], [ 70, 16, 103 ], [ 70, 17, 73 ], [ 70, 18, 89 ], [ 70, 19, 7 ], [ 70, 20, 119 ], [ 70, 21, 0 ], [ 70, 22, 96 ], [ 70, 23, 78 ], [ 70, 24, 29 ], [ 70, 25, 4 ], [ 70, 26, 37 ], [ 70, 27, 81 ], [ 70, 28, 12 ], [ 70, 29, 74 ], [ 70, 30, 96 ], [ 70, 31, 103 ], [ 70, 32, 7 ], [ 70, 33, 81 ], [ 70, 34, 30 ], [ 70, 35, 74 ], [ 70, 36, 119 ], [ 70, 37, 103 ], [ 70, 38, 89 ], [ 70, 39, 4 ], [ 70, 40, 30 ], [ 70, 41, 12 ], [ 70, 42, 119 ], [ 70, 43, 96 ], [ 70, 44, 89 ], [ 70, 45, 29 ], [ 70, 46, 7 ], [ 70, 47, 37 ], [ 70, 48, 37 ], [ 70, 49, 12 ], [ 70, 50, 29 ], [ 70, 51, 111 ], [ 70, 52, 4 ], [ 70, 53, 108 ], [ 70, 54, 78 ], [ 70, 55, 73 ], [ 70, 56, 0 ], [ 70, 57, 111 ], [ 70, 58, 25 ], [ 70, 59, 108 ], [ 70, 60, 89 ], [ 70, 61, 73 ], [ 70, 62, 119 ], [ 70, 63, 12 ], [ 70, 64, 25 ], [ 70, 65, 4 ], [ 70, 66, 89 ], [ 70, 67, 78 ], [ 70, 68, 119 ], [ 70, 69, 37 ], [ 70, 70, 0 ], [ 70, 71, 29 ], [ 70, 72, 29 ], [ 70, 73, 74 ], [ 70, 74, 37 ], [ 70, 75, 108 ], [ 70, 76, 81 ], [ 70, 77, 111 ], [ 70, 78, 0 ], [ 70, 79, 16 ], [ 70, 80, 78 ], [ 70, 81, 108 ], [ 70, 82, 41 ], [ 70, 83, 111 ], [ 70, 84, 7 ], [ 70, 85, 16 ], [ 70, 86, 96 ], [ 70, 87, 74 ], [ 70, 88, 41 ], [ 70, 89, 81 ], [ 70, 90, 7 ], [ 70, 91, 0 ], [ 70, 92, 96 ], [ 70, 93, 29 ], [ 70, 94, 78 ], [ 70, 95, 37 ], [ 70, 96, 4 ], [ 70, 97, 81 ], [ 70, 98, 12 ], [ 70, 99, 111 ], [ 70, 100, 74 ], [ 70, 101, 108 ], [ 70, 102, 25 ], [ 70, 103, 41 ], [ 70, 104, 73 ], [ 70, 105, 111 ], [ 70, 106, 16 ], [ 70, 107, 108 ], [ 70, 108, 30 ], [ 70, 109, 41 ], [ 70, 110, 103 ], [ 70, 111, 81 ], [ 70, 112, 16 ], [ 70, 113, 74 ], [ 70, 114, 30 ], [ 70, 115, 25 ], [ 70, 116, 103 ], [ 70, 117, 4 ], [ 70, 118, 73 ], [ 70, 119, 12 ], [ 71, 0, 0 ], [ 71, 1, 25 ], [ 71, 2, 12 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 5, 82 ], [ 71, 6, 7 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 9, 115 ], [ 71, 10, 29 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 13, 86 ], [ 71, 14, 15 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 17, 103 ], [ 71, 18, 34 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 21, 99 ], [ 71, 22, 78 ], [ 71, 23, 96 ], [ 71, 24, 29 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 27, 15 ], [ 71, 28, 78 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 31, 103 ], [ 71, 32, 25 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 35, 86 ], [ 71, 36, 99 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 39, 34 ], [ 71, 40, 12 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 43, 115 ], [ 71, 44, 82 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 47, 7 ], [ 71, 48, 37 ], [ 71, 49, 12 ], [ 71, 50, 103 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 53, 34 ], [ 71, 54, 78 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 57, 99 ], [ 71, 58, 7 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 61, 82 ], [ 71, 62, 115 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 65, 25 ], [ 71, 66, 86 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 69, 15 ], [ 71, 70, 29 ], [ 71, 71, 0 ], [ 71, 72, 82 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 75, 7 ], [ 71, 76, 99 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 79, 29 ], [ 71, 80, 86 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 83, 115 ], [ 71, 84, 34 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 87, 78 ], [ 71, 88, 15 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 91, 25 ], [ 71, 92, 103 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 95, 12 ], [ 71, 96, 77 ], [ 71, 97, 25 ], [ 71, 98, 115 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 101, 86 ], [ 71, 102, 15 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 105, 103 ], [ 71, 106, 34 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 109, 12 ], [ 71, 110, 99 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 113, 82 ], [ 71, 114, 7 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 117, 29 ], [ 71, 118, 78 ], [ 71, 119, 37 ], [ 72, 0, 0 ], [ 72, 1, 4 ], [ 72, 2, 8 ], [ 72, 3, 7 ], [ 72, 4, 23 ], [ 72, 5, 19 ], [ 72, 6, 30 ], [ 72, 7, 42 ], [ 72, 8, 38 ], [ 72, 9, 25 ], [ 72, 10, 41 ], [ 72, 11, 29 ], [ 72, 12, 56 ], [ 72, 13, 68 ], [ 72, 14, 60 ], [ 72, 15, 52 ], [ 72, 16, 63 ], [ 72, 17, 51 ], [ 72, 18, 107 ], [ 72, 19, 111 ], [ 72, 20, 115 ], [ 72, 21, 99 ], [ 72, 22, 116 ], [ 72, 23, 100 ], [ 72, 24, 38 ], [ 72, 25, 41 ], [ 72, 26, 60 ], [ 72, 27, 63 ], [ 72, 28, 115 ], [ 72, 29, 116 ], [ 72, 30, 56 ], [ 72, 31, 107 ], [ 72, 32, 0 ], [ 72, 33, 81 ], [ 72, 34, 4 ], [ 72, 35, 82 ], [ 72, 36, 30 ], [ 72, 37, 111 ], [ 72, 38, 8 ], [ 72, 39, 89 ], [ 72, 40, 7 ], [ 72, 41, 85 ], [ 72, 42, 42 ], [ 72, 43, 68 ], [ 72, 44, 23 ], [ 72, 45, 94 ], [ 72, 46, 19 ], [ 72, 47, 90 ], [ 72, 48, 8 ], [ 72, 49, 23 ], [ 72, 50, 56 ], [ 72, 51, 51 ], [ 72, 52, 107 ], [ 72, 53, 100 ], [ 72, 54, 60 ], [ 72, 55, 115 ], [ 72, 56, 30 ], [ 72, 57, 85 ], [ 72, 58, 42 ], [ 72, 59, 90 ], [ 72, 60, 0 ], [ 72, 61, 99 ], [ 72, 62, 38 ], [ 72, 63, 94 ], [ 72, 64, 25 ], [ 72, 65, 81 ], [ 72, 66, 4 ], [ 72, 67, 52 ], [ 72, 68, 41 ], [ 72, 69, 89 ], [ 72, 70, 29 ], [ 72, 71, 82 ], [ 72, 72, 0 ], [ 72, 73, 19 ], [ 72, 74, 30 ], [ 72, 75, 29 ], [ 72, 76, 111 ], [ 72, 77, 99 ], [ 72, 78, 38 ], [ 72, 79, 116 ], [ 72, 80, 56 ], [ 72, 81, 82 ], [ 72, 82, 68 ], [ 72, 83, 94 ], [ 72, 84, 8 ], [ 72, 85, 100 ], [ 72, 86, 60 ], [ 72, 87, 90 ], [ 72, 88, 52 ], [ 72, 89, 89 ], [ 72, 90, 7 ], [ 72, 91, 25 ], [ 72, 92, 63 ], [ 72, 93, 81 ], [ 72, 94, 51 ], [ 72, 95, 85 ], [ 72, 96, 4 ], [ 72, 97, 7 ], [ 72, 98, 42 ], [ 72, 99, 25 ], [ 72, 100, 68 ], [ 72, 101, 52 ], [ 72, 102, 41 ], [ 72, 103, 63 ], [ 72, 104, 107 ], [ 72, 105, 81 ], [ 72, 106, 111 ], [ 72, 107, 89 ], [ 72, 108, 23 ], [ 72, 109, 51 ], [ 72, 110, 115 ], [ 72, 111, 85 ], [ 72, 112, 99 ], [ 72, 113, 94 ], [ 72, 114, 19 ], [ 72, 115, 29 ], [ 72, 116, 116 ], [ 72, 117, 82 ], [ 72, 118, 100 ], [ 72, 119, 90 ], [ 73, 0, 0 ], [ 73, 1, 4 ], [ 73, 2, 23 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 5, 11 ], [ 73, 6, 30 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 9, 34 ], [ 73, 10, 38 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 13, 104 ], [ 73, 14, 119 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 17, 107 ], [ 73, 18, 71 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 21, 67 ], [ 73, 22, 60 ], [ 73, 23, 56 ], [ 73, 24, 38 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 27, 119 ], [ 73, 28, 60 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 31, 107 ], [ 73, 32, 4 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 35, 104 ], [ 73, 36, 67 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 39, 71 ], [ 73, 40, 23 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 43, 34 ], [ 73, 44, 11 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 47, 30 ], [ 73, 48, 8 ], [ 73, 49, 23 ], [ 73, 50, 107 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 53, 71 ], [ 73, 54, 60 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 57, 67 ], [ 73, 58, 30 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 61, 11 ], [ 73, 62, 34 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 65, 4 ], [ 73, 66, 104 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 69, 119 ], [ 73, 70, 38 ], [ 73, 71, 0 ], [ 73, 72, 11 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 75, 30 ], [ 73, 76, 67 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 79, 38 ], [ 73, 80, 104 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 83, 34 ], [ 73, 84, 71 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 87, 60 ], [ 73, 88, 119 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 91, 4 ], [ 73, 92, 107 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 95, 23 ], [ 73, 96, 20 ], [ 73, 97, 4 ], [ 73, 98, 34 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 101, 104 ], [ 73, 102, 119 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 105, 107 ], [ 73, 106, 71 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 109, 23 ], [ 73, 110, 67 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 113, 11 ], [ 73, 114, 30 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 117, 38 ], [ 73, 118, 60 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 1, 20 ], [ 74, 2, 8 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 5, 0 ], [ 74, 6, 48 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 9, 52 ], [ 74, 10, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 13, 25 ], [ 74, 14, 38 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 17, 26 ], [ 74, 18, 100 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 21, 99 ], [ 74, 22, 119 ], [ 74, 23, 100 ], [ 74, 24, 38 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 27, 119 ], [ 74, 28, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 31, 89 ], [ 74, 32, 8 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 35, 86 ], [ 74, 36, 78 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 39, 81 ], [ 74, 40, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 43, 94 ], [ 74, 44, 20 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 47, 90 ], [ 74, 48, 26 ], [ 74, 49, 100 ], [ 74, 50, 8 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 53, 26 ], [ 74, 54, 78 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 57, 90 ], [ 74, 58, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 61, 73 ], [ 74, 62, 48 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 65, 86 ], [ 74, 66, 89 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 69, 77 ], [ 74, 70, 52 ], [ 74, 71, 89 ], [ 74, 72, 48 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 75, 99 ], [ 74, 76, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 79, 94 ], [ 74, 80, 38 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 83, 86 ], [ 74, 84, 78 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 87, 77 ], [ 74, 88, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 91, 73 ], [ 74, 92, 25 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 95, 81 ], [ 74, 96, 52 ], [ 74, 97, 25 ], [ 74, 98, 20 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 101, 52 ], [ 74, 102, 89 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 105, 81 ], [ 74, 106, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 109, 73 ], [ 74, 110, 100 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 113, 90 ], [ 74, 114, 94 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 117, 77 ], [ 74, 118, 99 ], [ 74, 119, 94 ], [ 75, 0, 0 ], [ 75, 1, 20 ], [ 75, 2, 3 ], [ 75, 3, 7 ], [ 75, 4, 23 ], [ 75, 5, 11 ], [ 75, 6, 48 ], [ 75, 7, 52 ], [ 75, 8, 63 ], [ 75, 9, 55 ], [ 75, 10, 64 ], [ 75, 11, 67 ], [ 75, 12, 100 ], [ 75, 13, 96 ], [ 75, 14, 119 ], [ 75, 15, 104 ], [ 75, 16, 115 ], [ 75, 17, 112 ], [ 75, 18, 26 ], [ 75, 19, 29 ], [ 75, 20, 38 ], [ 75, 21, 45 ], [ 75, 22, 37 ], [ 75, 23, 33 ], [ 75, 24, 38 ], [ 75, 25, 119 ], [ 75, 26, 37 ], [ 75, 27, 63 ], [ 75, 28, 115 ], [ 75, 29, 64 ], [ 75, 30, 86 ], [ 75, 31, 89 ], [ 75, 32, 7 ], [ 75, 33, 33 ], [ 75, 34, 11 ], [ 75, 35, 112 ], [ 75, 36, 90 ], [ 75, 37, 93 ], [ 75, 38, 20 ], [ 75, 39, 45 ], [ 75, 40, 23 ], [ 75, 41, 67 ], [ 75, 42, 78 ], [ 75, 43, 82 ], [ 75, 44, 0 ], [ 75, 45, 104 ], [ 75, 46, 3 ], [ 75, 47, 55 ], [ 75, 48, 26 ], [ 75, 49, 100 ], [ 75, 50, 33 ], [ 75, 51, 3 ], [ 75, 52, 112 ], [ 75, 53, 23 ], [ 75, 54, 78 ], [ 75, 55, 90 ], [ 75, 56, 55 ], [ 75, 57, 37 ], [ 75, 58, 67 ], [ 75, 59, 115 ], [ 75, 60, 89 ], [ 75, 61, 82 ], [ 75, 62, 52 ], [ 75, 63, 29 ], [ 75, 64, 64 ], [ 75, 65, 11 ], [ 75, 66, 86 ], [ 75, 67, 93 ], [ 75, 68, 48 ], [ 75, 69, 96 ], [ 75, 70, 63 ], [ 75, 71, 7 ], [ 75, 72, 29 ], [ 75, 73, 48 ], [ 75, 74, 45 ], [ 75, 75, 0 ], [ 75, 76, 67 ], [ 75, 77, 11 ], [ 75, 78, 82 ], [ 75, 79, 86 ], [ 75, 80, 104 ], [ 75, 81, 38 ], [ 75, 82, 112 ], [ 75, 83, 64 ], [ 75, 84, 93 ], [ 75, 85, 78 ], [ 75, 86, 96 ], [ 75, 87, 26 ], [ 75, 88, 115 ], [ 75, 89, 23 ], [ 75, 90, 90 ], [ 75, 91, 89 ], [ 75, 92, 100 ], [ 75, 93, 52 ], [ 75, 94, 119 ], [ 75, 95, 20 ], [ 75, 96, 96 ], [ 75, 97, 52 ], [ 75, 98, 104 ], [ 75, 99, 20 ], [ 75, 100, 55 ], [ 75, 101, 7 ], [ 75, 102, 93 ], [ 75, 103, 89 ], [ 75, 104, 45 ], [ 75, 105, 119 ], [ 75, 106, 33 ], [ 75, 107, 63 ], [ 75, 108, 82 ], [ 75, 109, 90 ], [ 75, 110, 29 ], [ 75, 111, 100 ], [ 75, 112, 37 ], [ 75, 113, 3 ], [ 75, 114, 78 ], [ 75, 115, 86 ], [ 75, 116, 26 ], [ 75, 117, 48 ], [ 75, 118, 38 ], [ 75, 119, 0 ], [ 76, 0, 0 ], [ 76, 1, 7 ], [ 76, 2, 23 ], [ 76, 3, 7 ], [ 76, 4, 23 ], [ 76, 5, 0 ], [ 76, 6, 111 ], [ 76, 7, 104 ], [ 76, 8, 115 ], [ 76, 9, 104 ], [ 76, 10, 115 ], [ 76, 11, 111 ], [ 76, 12, 33 ], [ 76, 13, 42 ], [ 76, 14, 38 ], [ 76, 15, 42 ], [ 76, 16, 38 ], [ 76, 17, 33 ], [ 76, 18, 56 ], [ 76, 19, 67 ], [ 76, 20, 63 ], [ 76, 21, 67 ], [ 76, 22, 63 ], [ 76, 23, 56 ], [ 76, 24, 38 ], [ 76, 25, 63 ], [ 76, 26, 115 ], [ 76, 27, 63 ], [ 76, 28, 115 ], [ 76, 29, 38 ], [ 76, 30, 68 ], [ 76, 31, 45 ], [ 76, 32, 23 ], [ 76, 33, 45 ], [ 76, 34, 23 ], [ 76, 35, 68 ], [ 76, 36, 55 ], [ 76, 37, 107 ], [ 76, 38, 0 ], [ 76, 39, 107 ], [ 76, 40, 0 ], [ 76, 41, 55 ], [ 76, 42, 30 ], [ 76, 43, 112 ], [ 76, 44, 7 ], [ 76, 45, 112 ], [ 76, 46, 7 ], [ 76, 47, 30 ], [ 76, 48, 33 ], [ 76, 49, 56 ], [ 76, 50, 23 ], [ 76, 51, 56 ], [ 76, 52, 23 ], [ 76, 53, 33 ], [ 76, 54, 55 ], [ 76, 55, 30 ], [ 76, 56, 115 ], [ 76, 57, 30 ], [ 76, 58, 115 ], [ 76, 59, 55 ], [ 76, 60, 68 ], [ 76, 61, 12 ], [ 76, 62, 111 ], [ 76, 63, 12 ], [ 76, 64, 111 ], [ 76, 65, 68 ], [ 76, 66, 45 ], [ 76, 67, 15 ], [ 76, 68, 104 ], [ 76, 69, 15 ], [ 76, 70, 104 ], [ 76, 71, 45 ], [ 76, 72, 111 ], [ 76, 73, 67 ], [ 76, 74, 0 ], [ 76, 75, 67 ], [ 76, 76, 0 ], [ 76, 77, 111 ], [ 76, 78, 68 ], [ 76, 79, 112 ], [ 76, 80, 38 ], [ 76, 81, 112 ], [ 76, 82, 38 ], [ 76, 83, 68 ], [ 76, 84, 55 ], [ 76, 85, 15 ], [ 76, 86, 33 ], [ 76, 87, 15 ], [ 76, 88, 33 ], [ 76, 89, 55 ], [ 76, 90, 107 ], [ 76, 91, 12 ], [ 76, 92, 42 ], [ 76, 93, 12 ], [ 76, 94, 42 ], [ 76, 95, 107 ], [ 76, 96, 104 ], [ 76, 97, 42 ], [ 76, 98, 7 ], [ 76, 99, 42 ], [ 76, 100, 7 ], [ 76, 101, 104 ], [ 76, 102, 45 ], [ 76, 103, 107 ], [ 76, 104, 63 ], [ 76, 105, 107 ], [ 76, 106, 63 ], [ 76, 107, 45 ], [ 76, 108, 30 ], [ 76, 109, 12 ], [ 76, 110, 56 ], [ 76, 111, 12 ], [ 76, 112, 56 ], [ 76, 113, 30 ], [ 76, 114, 112 ], [ 76, 115, 15 ], [ 76, 116, 67 ], [ 76, 117, 15 ], [ 76, 118, 67 ], [ 76, 119, 112 ], [ 77, 0, 0 ], [ 77, 1, 7 ], [ 77, 2, 3 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 5, 19 ], [ 77, 6, 111 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 9, 108 ], [ 77, 10, 119 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 13, 55 ], [ 77, 14, 60 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 17, 56 ], [ 77, 18, 46 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 21, 45 ], [ 77, 22, 38 ], [ 77, 23, 33 ], [ 77, 24, 38 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 27, 119 ], [ 77, 28, 60 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 31, 45 ], [ 77, 32, 19 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 35, 46 ], [ 77, 36, 108 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 39, 111 ], [ 77, 40, 7 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 43, 56 ], [ 77, 44, 3 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 47, 55 ], [ 77, 48, 33 ], [ 77, 49, 56 ], [ 77, 50, 46 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 53, 3 ], [ 77, 54, 55 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 57, 60 ], [ 77, 58, 108 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 61, 38 ], [ 77, 62, 119 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 65, 45 ], [ 77, 66, 19 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 69, 7 ], [ 77, 70, 111 ], [ 77, 71, 68 ], [ 77, 72, 45 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 75, 19 ], [ 77, 76, 111 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 79, 46 ], [ 77, 80, 56 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 83, 38 ], [ 77, 84, 7 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 87, 3 ], [ 77, 88, 55 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 91, 119 ], [ 77, 92, 60 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 95, 108 ], [ 77, 96, 68 ], [ 77, 97, 108 ], [ 77, 98, 55 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 101, 7 ], [ 77, 102, 111 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 105, 119 ], [ 77, 106, 45 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 109, 60 ], [ 77, 110, 38 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 113, 56 ], [ 77, 114, 3 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 117, 19 ], [ 77, 118, 46 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 1, 4 ], [ 78, 2, 56 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 5, 103 ], [ 78, 6, 30 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 9, 55 ], [ 78, 10, 115 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 13, 42 ], [ 78, 14, 12 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 17, 107 ], [ 78, 18, 26 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 21, 0 ], [ 78, 22, 60 ], [ 78, 23, 56 ], [ 78, 24, 74 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 27, 85 ], [ 78, 28, 93 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 31, 115 ], [ 78, 32, 30 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 35, 90 ], [ 78, 36, 12 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 39, 77 ], [ 78, 40, 42 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 43, 60 ], [ 78, 44, 26 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 47, 86 ], [ 78, 48, 86 ], [ 78, 49, 93 ], [ 78, 50, 74 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 53, 82 ], [ 78, 54, 56 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 57, 81 ], [ 78, 58, 4 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 61, 107 ], [ 78, 62, 12 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 65, 77 ], [ 78, 66, 26 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 69, 86 ], [ 78, 70, 0 ], [ 78, 71, 74 ], [ 78, 72, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 75, 82 ], [ 78, 76, 85 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 79, 103 ], [ 78, 80, 56 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 83, 81 ], [ 78, 84, 30 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 87, 90 ], [ 78, 88, 55 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 91, 0 ], [ 78, 92, 60 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 95, 86 ], [ 78, 96, 77 ], [ 78, 97, 85 ], [ 78, 98, 93 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 101, 82 ], [ 78, 102, 4 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 105, 81 ], [ 78, 106, 103 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 109, 55 ], [ 78, 110, 115 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 113, 90 ], [ 78, 114, 42 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 117, 77 ], [ 78, 118, 107 ], [ 78, 119, 93 ], [ 79, 0, 0 ], [ 79, 1, 4 ], [ 79, 2, 107 ], [ 79, 3, 104 ], [ 79, 4, 56 ], [ 79, 5, 59 ], [ 79, 6, 30 ], [ 79, 7, 42 ], [ 79, 8, 115 ], [ 79, 9, 108 ], [ 79, 10, 60 ], [ 79, 11, 67 ], [ 79, 12, 33 ], [ 79, 13, 25 ], [ 79, 14, 15 ], [ 79, 15, 7 ], [ 79, 16, 63 ], [ 79, 17, 51 ], [ 79, 18, 46 ], [ 79, 19, 29 ], [ 79, 20, 16 ], [ 79, 21, 19 ], [ 79, 22, 116 ], [ 79, 23, 100 ], [ 79, 24, 74 ], [ 79, 25, 77 ], [ 79, 26, 93 ], [ 79, 27, 94 ], [ 79, 28, 86 ], [ 79, 29, 89 ], [ 79, 30, 60 ], [ 79, 31, 115 ], [ 79, 32, 42 ], [ 79, 33, 67 ], [ 79, 34, 30 ], [ 79, 35, 108 ], [ 79, 36, 63 ], [ 79, 37, 15 ], [ 79, 38, 25 ], [ 79, 39, 51 ], [ 79, 40, 33 ], [ 79, 41, 7 ], [ 79, 42, 116 ], [ 79, 43, 16 ], [ 79, 44, 29 ], [ 79, 45, 100 ], [ 79, 46, 46 ], [ 79, 47, 19 ], [ 79, 48, 86 ], [ 79, 49, 93 ], [ 79, 50, 77 ], [ 79, 51, 89 ], [ 79, 52, 74 ], [ 79, 53, 94 ], [ 79, 54, 56 ], [ 79, 55, 107 ], [ 79, 56, 4 ], [ 79, 57, 59 ], [ 79, 58, 0 ], [ 79, 59, 104 ], [ 79, 60, 51 ], [ 79, 61, 33 ], [ 79, 62, 7 ], [ 79, 63, 63 ], [ 79, 64, 15 ], [ 79, 65, 25 ], [ 79, 66, 100 ], [ 79, 67, 46 ], [ 79, 68, 19 ], [ 79, 69, 116 ], [ 79, 70, 16 ], [ 79, 71, 29 ], [ 79, 72, 89 ], [ 79, 73, 74 ], [ 79, 74, 94 ], [ 79, 75, 86 ], [ 79, 76, 93 ], [ 79, 77, 77 ], [ 79, 78, 59 ], [ 79, 79, 0 ], [ 79, 80, 104 ], [ 79, 81, 56 ], [ 79, 82, 107 ], [ 79, 83, 4 ], [ 79, 84, 67 ], [ 79, 85, 30 ], [ 79, 86, 108 ], [ 79, 87, 60 ], [ 79, 88, 115 ], [ 79, 89, 42 ], [ 79, 90, 19 ], [ 79, 91, 29 ], [ 79, 92, 100 ], [ 79, 93, 16 ], [ 79, 94, 116 ], [ 79, 95, 46 ], [ 79, 96, 94 ], [ 79, 97, 77 ], [ 79, 98, 89 ], [ 79, 99, 93 ], [ 79, 100, 86 ], [ 79, 101, 74 ], [ 79, 102, 104 ], [ 79, 103, 4 ], [ 79, 104, 59 ], [ 79, 105, 107 ], [ 79, 106, 56 ], [ 79, 107, 0 ], [ 79, 108, 108 ], [ 79, 109, 42 ], [ 79, 110, 67 ], [ 79, 111, 115 ], [ 79, 112, 60 ], [ 79, 113, 30 ], [ 79, 114, 7 ], [ 79, 115, 25 ], [ 79, 116, 51 ], [ 79, 117, 15 ], [ 79, 118, 63 ], [ 79, 119, 33 ], [ 80, 0, 0 ], [ 80, 1, 104 ], [ 80, 2, 56 ], [ 80, 3, 104 ], [ 80, 4, 56 ], [ 80, 5, 0 ], [ 80, 6, 0 ], [ 80, 7, 104 ], [ 80, 8, 38 ], [ 80, 9, 104 ], [ 80, 10, 38 ], [ 80, 11, 0 ], [ 80, 12, 56 ], [ 80, 13, 104 ], [ 80, 14, 38 ], [ 80, 15, 104 ], [ 80, 16, 38 ], [ 80, 17, 56 ], [ 80, 18, 56 ], [ 80, 19, 0 ], [ 80, 20, 38 ], [ 80, 21, 0 ], [ 80, 22, 38 ], [ 80, 23, 56 ], [ 80, 24, 74 ], [ 80, 25, 94 ], [ 80, 26, 86 ], [ 80, 27, 94 ], [ 80, 28, 86 ], [ 80, 29, 74 ], [ 80, 30, 74 ], [ 80, 31, 94 ], [ 80, 32, 38 ], [ 80, 33, 94 ], [ 80, 34, 38 ], [ 80, 35, 74 ], [ 80, 36, 86 ], [ 80, 37, 94 ], [ 80, 38, 38 ], [ 80, 39, 94 ], [ 80, 40, 38 ], [ 80, 41, 86 ], [ 80, 42, 86 ], [ 80, 43, 74 ], [ 80, 44, 38 ], [ 80, 45, 74 ], [ 80, 46, 38 ], [ 80, 47, 86 ], [ 80, 48, 78 ], [ 80, 49, 82 ], [ 80, 50, 86 ], [ 80, 51, 82 ], [ 80, 52, 86 ], [ 80, 53, 78 ], [ 80, 54, 78 ], [ 80, 55, 82 ], [ 80, 56, 56 ], [ 80, 57, 82 ], [ 80, 58, 56 ], [ 80, 59, 78 ], [ 80, 60, 86 ], [ 80, 61, 82 ], [ 80, 62, 56 ], [ 80, 63, 82 ], [ 80, 64, 56 ], [ 80, 65, 86 ], [ 80, 66, 86 ], [ 80, 67, 78 ], [ 80, 68, 56 ], [ 80, 69, 78 ], [ 80, 70, 56 ], [ 80, 71, 86 ], [ 80, 72, 78 ], [ 80, 73, 81 ], [ 80, 74, 74 ], [ 80, 75, 81 ], [ 80, 76, 74 ], [ 80, 77, 78 ], [ 80, 78, 78 ], [ 80, 79, 81 ], [ 80, 80, 0 ], [ 80, 81, 81 ], [ 80, 82, 0 ], [ 80, 83, 78 ], [ 80, 84, 74 ], [ 80, 85, 81 ], [ 80, 86, 0 ], [ 80, 87, 81 ], [ 80, 88, 0 ], [ 80, 89, 74 ], [ 80, 90, 74 ], [ 80, 91, 78 ], [ 80, 92, 0 ], [ 80, 93, 78 ], [ 80, 94, 0 ], [ 80, 95, 74 ], [ 80, 96, 82 ], [ 80, 97, 81 ], [ 80, 98, 94 ], [ 80, 99, 81 ], [ 80, 100, 94 ], [ 80, 101, 82 ], [ 80, 102, 82 ], [ 80, 103, 81 ], [ 80, 104, 104 ], [ 80, 105, 81 ], [ 80, 106, 104 ], [ 80, 107, 82 ], [ 80, 108, 94 ], [ 80, 109, 81 ], [ 80, 110, 104 ], [ 80, 111, 81 ], [ 80, 112, 104 ], [ 80, 113, 94 ], [ 80, 114, 94 ], [ 80, 115, 82 ], [ 80, 116, 104 ], [ 80, 117, 82 ], [ 80, 118, 104 ], [ 80, 119, 94 ], [ 81, 0, 0 ], [ 81, 1, 104 ], [ 81, 2, 3 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 5, 59 ], [ 81, 6, 0 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 9, 25 ], [ 81, 10, 119 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 13, 55 ], [ 81, 14, 15 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 17, 33 ], [ 81, 18, 107 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 21, 45 ], [ 81, 22, 63 ], [ 81, 23, 33 ], [ 81, 24, 74 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 27, 85 ], [ 81, 28, 93 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 31, 94 ], [ 81, 32, 25 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 35, 119 ], [ 81, 36, 73 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 39, 15 ], [ 81, 40, 33 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 43, 89 ], [ 81, 44, 45 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 47, 63 ], [ 81, 48, 78 ], [ 81, 49, 82 ], [ 81, 50, 85 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 53, 93 ], [ 81, 54, 78 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 57, 3 ], [ 81, 58, 59 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 61, 73 ], [ 81, 62, 55 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 65, 33 ], [ 81, 66, 89 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 69, 107 ], [ 81, 70, 63 ], [ 81, 71, 33 ], [ 81, 72, 82 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 75, 74 ], [ 81, 76, 93 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 79, 78 ], [ 81, 80, 104 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 83, 59 ], [ 81, 84, 94 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 87, 0 ], [ 81, 88, 119 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 91, 89 ], [ 81, 92, 107 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 95, 45 ], [ 81, 96, 78 ], [ 81, 97, 82 ], [ 81, 98, 74 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 101, 85 ], [ 81, 102, 78 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 105, 104 ], [ 81, 106, 3 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 109, 94 ], [ 81, 110, 0 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 113, 25 ], [ 81, 114, 73 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 117, 55 ], [ 81, 118, 15 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 1, 55 ], [ 82, 2, 107 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 5, 0 ], [ 82, 6, 11 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 9, 52 ], [ 82, 10, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 13, 68 ], [ 82, 14, 38 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 17, 112 ], [ 82, 18, 100 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 21, 19 ], [ 82, 22, 37 ], [ 82, 23, 100 ], [ 82, 24, 74 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 27, 85 ], [ 82, 28, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 31, 11 ], [ 82, 32, 41 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 35, 52 ], [ 82, 36, 68 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 39, 112 ], [ 82, 40, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 43, 100 ], [ 82, 44, 37 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 47, 19 ], [ 82, 48, 85 ], [ 82, 49, 74 ], [ 82, 50, 93 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 53, 85 ], [ 82, 54, 55 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 57, 0 ], [ 82, 58, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 61, 38 ], [ 82, 62, 112 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 65, 68 ], [ 82, 66, 19 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 69, 37 ], [ 82, 70, 100 ], [ 82, 71, 19 ], [ 82, 72, 85 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 75, 93 ], [ 82, 76, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 79, 107 ], [ 82, 80, 0 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 83, 55 ], [ 82, 84, 52 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 87, 41 ], [ 82, 88, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 91, 37 ], [ 82, 92, 19 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 95, 100 ], [ 82, 96, 74 ], [ 82, 97, 93 ], [ 82, 98, 85 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 101, 74 ], [ 82, 102, 0 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 105, 107 ], [ 82, 106, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 109, 41 ], [ 82, 110, 52 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 113, 11 ], [ 82, 114, 112 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 117, 38 ], [ 82, 118, 68 ], [ 82, 119, 112 ], [ 83, 0, 0 ], [ 83, 1, 55 ], [ 83, 2, 3 ], [ 83, 3, 104 ], [ 83, 4, 56 ], [ 83, 5, 103 ], [ 83, 6, 11 ], [ 83, 7, 52 ], [ 83, 8, 16 ], [ 83, 9, 34 ], [ 83, 10, 64 ], [ 83, 11, 29 ], [ 83, 12, 23 ], [ 83, 13, 96 ], [ 83, 14, 12 ], [ 83, 15, 42 ], [ 83, 16, 115 ], [ 83, 17, 26 ], [ 83, 18, 71 ], [ 83, 19, 111 ], [ 83, 20, 63 ], [ 83, 21, 45 ], [ 83, 22, 119 ], [ 83, 23, 33 ], [ 83, 24, 74 ], [ 83, 25, 85 ], [ 83, 26, 73 ], [ 83, 27, 94 ], [ 83, 28, 86 ], [ 83, 29, 90 ], [ 83, 30, 52 ], [ 83, 31, 11 ], [ 83, 32, 29 ], [ 83, 33, 64 ], [ 83, 34, 34 ], [ 83, 35, 16 ], [ 83, 36, 96 ], [ 83, 37, 23 ], [ 83, 38, 26 ], [ 83, 39, 115 ], [ 83, 40, 42 ], [ 83, 41, 12 ], [ 83, 42, 111 ], [ 83, 43, 71 ], [ 83, 44, 33 ], [ 83, 45, 119 ], [ 83, 46, 45 ], [ 83, 47, 63 ], [ 83, 48, 85 ], [ 83, 49, 74 ], [ 83, 50, 90 ], [ 83, 51, 86 ], [ 83, 52, 94 ], [ 83, 53, 73 ], [ 83, 54, 55 ], [ 83, 55, 0 ], [ 83, 56, 103 ], [ 83, 57, 56 ], [ 83, 58, 104 ], [ 83, 59, 3 ], [ 83, 60, 42 ], [ 83, 61, 12 ], [ 83, 62, 115 ], [ 83, 63, 26 ], [ 83, 64, 96 ], [ 83, 65, 23 ], [ 83, 66, 45 ], [ 83, 67, 63 ], [ 83, 68, 119 ], [ 83, 69, 33 ], [ 83, 70, 111 ], [ 83, 71, 71 ], [ 83, 72, 94 ], [ 83, 73, 73 ], [ 83, 74, 86 ], [ 83, 75, 90 ], [ 83, 76, 85 ], [ 83, 77, 74 ], [ 83, 78, 104 ], [ 83, 79, 3 ], [ 83, 80, 56 ], [ 83, 81, 103 ], [ 83, 82, 55 ], [ 83, 83, 0 ], [ 83, 84, 34 ], [ 83, 85, 16 ], [ 83, 86, 64 ], [ 83, 87, 29 ], [ 83, 88, 52 ], [ 83, 89, 11 ], [ 83, 90, 33 ], [ 83, 91, 119 ], [ 83, 92, 63 ], [ 83, 93, 45 ], [ 83, 94, 71 ], [ 83, 95, 111 ], [ 83, 96, 90 ], [ 83, 97, 86 ], [ 83, 98, 73 ], [ 83, 99, 94 ], [ 83, 100, 74 ], [ 83, 101, 85 ], [ 83, 102, 103 ], [ 83, 103, 56 ], [ 83, 104, 3 ], [ 83, 105, 104 ], [ 83, 106, 0 ], [ 83, 107, 55 ], [ 83, 108, 29 ], [ 83, 109, 64 ], [ 83, 110, 16 ], [ 83, 111, 34 ], [ 83, 112, 11 ], [ 83, 113, 52 ], [ 83, 114, 26 ], [ 83, 115, 115 ], [ 83, 116, 12 ], [ 83, 117, 42 ], [ 83, 118, 23 ], [ 83, 119, 96 ], [ 84, 0, 0 ], [ 84, 1, 20 ], [ 84, 2, 26 ], [ 84, 3, 42 ], [ 84, 4, 100 ], [ 84, 5, 103 ], [ 84, 6, 48 ], [ 84, 7, 52 ], [ 84, 8, 38 ], [ 84, 9, 34 ], [ 84, 10, 119 ], [ 84, 11, 111 ], [ 84, 12, 56 ], [ 84, 13, 55 ], [ 84, 14, 12 ], [ 84, 15, 7 ], [ 84, 16, 115 ], [ 84, 17, 112 ], [ 84, 18, 71 ], [ 84, 19, 67 ], [ 84, 20, 16 ], [ 84, 21, 11 ], [ 84, 22, 37 ], [ 84, 23, 33 ], [ 84, 24, 26 ], [ 84, 25, 100 ], [ 84, 26, 0 ], [ 84, 27, 103 ], [ 84, 28, 20 ], [ 84, 29, 42 ], [ 84, 30, 12 ], [ 84, 31, 16 ], [ 84, 32, 56 ], [ 84, 33, 82 ], [ 84, 34, 71 ], [ 84, 35, 93 ], [ 84, 36, 38 ], [ 84, 37, 37 ], [ 84, 38, 48 ], [ 84, 39, 73 ], [ 84, 40, 67 ], [ 84, 41, 94 ], [ 84, 42, 119 ], [ 84, 43, 115 ], [ 84, 44, 52 ], [ 84, 45, 77 ], [ 84, 46, 55 ], [ 84, 47, 81 ], [ 84, 48, 38 ], [ 84, 49, 119 ], [ 84, 50, 48 ], [ 84, 51, 111 ], [ 84, 52, 52 ], [ 84, 53, 34 ], [ 84, 54, 56 ], [ 84, 55, 71 ], [ 84, 56, 12 ], [ 84, 57, 93 ], [ 84, 58, 16 ], [ 84, 59, 82 ], [ 84, 60, 26 ], [ 84, 61, 33 ], [ 84, 62, 0 ], [ 84, 63, 81 ], [ 84, 64, 11 ], [ 84, 65, 77 ], [ 84, 66, 100 ], [ 84, 67, 112 ], [ 84, 68, 20 ], [ 84, 69, 94 ], [ 84, 70, 7 ], [ 84, 71, 73 ], [ 84, 72, 12 ], [ 84, 73, 115 ], [ 84, 74, 56 ], [ 84, 75, 112 ], [ 84, 76, 55 ], [ 84, 77, 7 ], [ 84, 78, 48 ], [ 84, 79, 67 ], [ 84, 80, 38 ], [ 84, 81, 94 ], [ 84, 82, 37 ], [ 84, 83, 73 ], [ 84, 84, 0 ], [ 84, 85, 11 ], [ 84, 86, 26 ], [ 84, 87, 77 ], [ 84, 88, 33 ], [ 84, 89, 81 ], [ 84, 90, 103 ], [ 84, 91, 111 ], [ 84, 92, 42 ], [ 84, 93, 93 ], [ 84, 94, 34 ], [ 84, 95, 82 ], [ 84, 96, 16 ], [ 84, 97, 37 ], [ 84, 98, 71 ], [ 84, 99, 33 ], [ 84, 100, 67 ], [ 84, 101, 11 ], [ 84, 102, 52 ], [ 84, 103, 55 ], [ 84, 104, 119 ], [ 84, 105, 81 ], [ 84, 106, 115 ], [ 84, 107, 77 ], [ 84, 108, 20 ], [ 84, 109, 7 ], [ 84, 110, 100 ], [ 84, 111, 73 ], [ 84, 112, 112 ], [ 84, 113, 94 ], [ 84, 114, 42 ], [ 84, 115, 34 ], [ 84, 116, 103 ], [ 84, 117, 82 ], [ 84, 118, 111 ], [ 84, 119, 93 ], [ 85, 0, 0 ], [ 85, 1, 20 ], [ 85, 2, 107 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 5, 29 ], [ 85, 6, 48 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 9, 104 ], [ 85, 10, 41 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 13, 68 ], [ 85, 14, 16 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 17, 26 ], [ 85, 18, 56 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 21, 19 ], [ 85, 22, 119 ], [ 85, 23, 100 ], [ 85, 24, 26 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 27, 19 ], [ 85, 28, 104 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 31, 16 ], [ 85, 32, 68 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 35, 107 ], [ 85, 36, 119 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 39, 29 ], [ 85, 40, 56 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 43, 41 ], [ 85, 44, 48 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 47, 20 ], [ 85, 48, 38 ], [ 85, 49, 119 ], [ 85, 50, 29 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 53, 68 ], [ 85, 54, 56 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 57, 41 ], [ 85, 58, 19 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 61, 107 ], [ 85, 62, 20 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 65, 48 ], [ 85, 66, 26 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 69, 104 ], [ 85, 70, 16 ], [ 85, 71, 52 ], [ 85, 72, 41 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 75, 56 ], [ 85, 76, 20 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 79, 48 ], [ 85, 80, 104 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 83, 16 ], [ 85, 84, 19 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 87, 26 ], [ 85, 88, 119 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 91, 29 ], [ 85, 92, 107 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 95, 68 ], [ 85, 96, 116 ], [ 85, 97, 16 ], [ 85, 98, 107 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 101, 48 ], [ 85, 102, 68 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 105, 119 ], [ 85, 106, 26 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 109, 20 ], [ 85, 110, 29 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 113, 56 ], [ 85, 114, 104 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 117, 19 ], [ 85, 118, 41 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 1, 104 ], [ 86, 2, 26 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 5, 19 ], [ 86, 6, 0 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 9, 108 ], [ 86, 10, 64 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 13, 96 ], [ 86, 14, 60 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 17, 33 ], [ 86, 18, 46 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 21, 11 ], [ 86, 22, 63 ], [ 86, 23, 33 ], [ 86, 24, 26 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 27, 19 ], [ 86, 28, 104 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 31, 46 ], [ 86, 32, 60 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 35, 77 ], [ 86, 36, 0 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 39, 90 ], [ 86, 40, 63 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 43, 96 ], [ 86, 44, 64 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 47, 81 ], [ 86, 48, 60 ], [ 86, 49, 64 ], [ 86, 50, 0 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 53, 108 ], [ 86, 54, 60 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 57, 77 ], [ 86, 58, 46 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 61, 11 ], [ 86, 62, 26 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 65, 81 ], [ 86, 66, 104 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 69, 90 ], [ 86, 70, 33 ], [ 86, 71, 81 ], [ 86, 72, 60 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 75, 33 ], [ 86, 76, 96 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 79, 63 ], [ 86, 80, 0 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 83, 90 ], [ 86, 84, 26 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 87, 81 ], [ 86, 88, 11 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 91, 108 ], [ 86, 92, 19 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 95, 77 ], [ 86, 96, 64 ], [ 86, 97, 63 ], [ 86, 98, 46 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 101, 11 ], [ 86, 102, 64 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 105, 81 ], [ 86, 106, 96 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 109, 33 ], [ 86, 110, 104 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 113, 90 ], [ 86, 114, 19 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 117, 77 ], [ 86, 118, 108 ], [ 86, 119, 90 ], [ 87, 0, 0 ], [ 87, 1, 104 ], [ 87, 2, 23 ], [ 87, 3, 42 ], [ 87, 4, 100 ], [ 87, 5, 29 ], [ 87, 6, 0 ], [ 87, 7, 104 ], [ 87, 8, 16 ], [ 87, 9, 52 ], [ 87, 10, 115 ], [ 87, 11, 67 ], [ 87, 12, 23 ], [ 87, 13, 42 ], [ 87, 14, 16 ], [ 87, 15, 52 ], [ 87, 16, 38 ], [ 87, 17, 56 ], [ 87, 18, 100 ], [ 87, 19, 29 ], [ 87, 20, 115 ], [ 87, 21, 67 ], [ 87, 22, 38 ], [ 87, 23, 56 ], [ 87, 24, 26 ], [ 87, 25, 46 ], [ 87, 26, 99 ], [ 87, 27, 103 ], [ 87, 28, 20 ], [ 87, 29, 4 ], [ 87, 30, 26 ], [ 87, 31, 46 ], [ 87, 32, 52 ], [ 87, 33, 16 ], [ 87, 34, 67 ], [ 87, 35, 115 ], [ 87, 36, 99 ], [ 87, 37, 103 ], [ 87, 38, 52 ], [ 87, 39, 16 ], [ 87, 40, 56 ], [ 87, 41, 38 ], [ 87, 42, 20 ], [ 87, 43, 4 ], [ 87, 44, 67 ], [ 87, 45, 115 ], [ 87, 46, 56 ], [ 87, 47, 38 ], [ 87, 48, 60 ], [ 87, 49, 64 ], [ 87, 50, 103 ], [ 87, 51, 99 ], [ 87, 52, 4 ], [ 87, 53, 20 ], [ 87, 54, 60 ], [ 87, 55, 64 ], [ 87, 56, 42 ], [ 87, 57, 23 ], [ 87, 58, 29 ], [ 87, 59, 100 ], [ 87, 60, 103 ], [ 87, 61, 99 ], [ 87, 62, 42 ], [ 87, 63, 23 ], [ 87, 64, 38 ], [ 87, 65, 56 ], [ 87, 66, 4 ], [ 87, 67, 20 ], [ 87, 68, 29 ], [ 87, 69, 100 ], [ 87, 70, 38 ], [ 87, 71, 56 ], [ 87, 72, 64 ], [ 87, 73, 60 ], [ 87, 74, 46 ], [ 87, 75, 26 ], [ 87, 76, 20 ], [ 87, 77, 4 ], [ 87, 78, 64 ], [ 87, 79, 60 ], [ 87, 80, 104 ], [ 87, 81, 0 ], [ 87, 82, 100 ], [ 87, 83, 29 ], [ 87, 84, 46 ], [ 87, 85, 26 ], [ 87, 86, 104 ], [ 87, 87, 0 ], [ 87, 88, 115 ], [ 87, 89, 67 ], [ 87, 90, 20 ], [ 87, 91, 4 ], [ 87, 92, 100 ], [ 87, 93, 29 ], [ 87, 94, 115 ], [ 87, 95, 67 ], [ 87, 96, 60 ], [ 87, 97, 64 ], [ 87, 98, 26 ], [ 87, 99, 46 ], [ 87, 100, 99 ], [ 87, 101, 103 ], [ 87, 102, 60 ], [ 87, 103, 64 ], [ 87, 104, 0 ], [ 87, 105, 104 ], [ 87, 106, 23 ], [ 87, 107, 42 ], [ 87, 108, 26 ], [ 87, 109, 46 ], [ 87, 110, 0 ], [ 87, 111, 104 ], [ 87, 112, 16 ], [ 87, 113, 52 ], [ 87, 114, 99 ], [ 87, 115, 103 ], [ 87, 116, 23 ], [ 87, 117, 42 ], [ 87, 118, 16 ], [ 87, 119, 52 ], [ 88, 0, 0 ], [ 88, 1, 25 ], [ 88, 2, 107 ], [ 88, 3, 42 ], [ 88, 4, 100 ], [ 88, 5, 19 ], [ 88, 6, 19 ], [ 88, 7, 42 ], [ 88, 8, 63 ], [ 88, 9, 25 ], [ 88, 10, 60 ], [ 88, 11, 0 ], [ 88, 12, 100 ], [ 88, 13, 25 ], [ 88, 14, 60 ], [ 88, 15, 42 ], [ 88, 16, 63 ], [ 88, 17, 107 ], [ 88, 18, 107 ], [ 88, 19, 0 ], [ 88, 20, 63 ], [ 88, 21, 19 ], [ 88, 22, 60 ], [ 88, 23, 100 ], [ 88, 24, 26 ], [ 88, 25, 3 ], [ 88, 26, 45 ], [ 88, 27, 103 ], [ 88, 28, 20 ], [ 88, 29, 96 ], [ 88, 30, 96 ], [ 88, 31, 103 ], [ 88, 32, 63 ], [ 88, 33, 3 ], [ 88, 34, 60 ], [ 88, 35, 26 ], [ 88, 36, 20 ], [ 88, 37, 3 ], [ 88, 38, 60 ], [ 88, 39, 103 ], [ 88, 40, 63 ], [ 88, 41, 45 ], [ 88, 42, 45 ], [ 88, 43, 26 ], [ 88, 44, 63 ], [ 88, 45, 96 ], [ 88, 46, 60 ], [ 88, 47, 20 ], [ 88, 48, 37 ], [ 88, 49, 12 ], [ 88, 50, 45 ], [ 88, 51, 48 ], [ 88, 52, 20 ], [ 88, 53, 55 ], [ 88, 54, 55 ], [ 88, 55, 48 ], [ 88, 56, 107 ], [ 88, 57, 12 ], [ 88, 58, 100 ], [ 88, 59, 37 ], [ 88, 60, 20 ], [ 88, 61, 12 ], [ 88, 62, 100 ], [ 88, 63, 48 ], [ 88, 64, 107 ], [ 88, 65, 45 ], [ 88, 66, 45 ], [ 88, 67, 37 ], [ 88, 68, 107 ], [ 88, 69, 55 ], [ 88, 70, 100 ], [ 88, 71, 20 ], [ 88, 72, 37 ], [ 88, 73, 119 ], [ 88, 74, 26 ], [ 88, 75, 71 ], [ 88, 76, 96 ], [ 88, 77, 55 ], [ 88, 78, 55 ], [ 88, 79, 71 ], [ 88, 80, 0 ], [ 88, 81, 119 ], [ 88, 82, 19 ], [ 88, 83, 37 ], [ 88, 84, 96 ], [ 88, 85, 119 ], [ 88, 86, 19 ], [ 88, 87, 71 ], [ 88, 88, 0 ], [ 88, 89, 26 ], [ 88, 90, 26 ], [ 88, 91, 37 ], [ 88, 92, 0 ], [ 88, 93, 55 ], [ 88, 94, 19 ], [ 88, 95, 96 ], [ 88, 96, 12 ], [ 88, 97, 119 ], [ 88, 98, 3 ], [ 88, 99, 71 ], [ 88, 100, 103 ], [ 88, 101, 48 ], [ 88, 102, 48 ], [ 88, 103, 71 ], [ 88, 104, 25 ], [ 88, 105, 119 ], [ 88, 106, 42 ], [ 88, 107, 12 ], [ 88, 108, 103 ], [ 88, 109, 119 ], [ 88, 110, 42 ], [ 88, 111, 71 ], [ 88, 112, 25 ], [ 88, 113, 3 ], [ 88, 114, 3 ], [ 88, 115, 12 ], [ 88, 116, 25 ], [ 88, 117, 48 ], [ 88, 118, 42 ], [ 88, 119, 103 ], [ 89, 0, 0 ], [ 89, 1, 25 ], [ 89, 2, 23 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 5, 103 ], [ 89, 6, 19 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 9, 55 ], [ 89, 10, 38 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 13, 104 ], [ 89, 14, 12 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 17, 51 ], [ 89, 18, 26 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 21, 67 ], [ 89, 22, 116 ], [ 89, 23, 56 ], [ 89, 24, 26 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 27, 19 ], [ 89, 28, 104 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 31, 103 ], [ 89, 32, 51 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 35, 12 ], [ 89, 36, 25 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 39, 116 ], [ 89, 40, 67 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 43, 23 ], [ 89, 44, 55 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 47, 38 ], [ 89, 48, 37 ], [ 89, 49, 12 ], [ 89, 50, 67 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 53, 25 ], [ 89, 54, 55 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 57, 26 ], [ 89, 58, 116 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 61, 38 ], [ 89, 62, 103 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 65, 23 ], [ 89, 66, 19 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 69, 51 ], [ 89, 70, 104 ], [ 89, 71, 46 ], [ 89, 72, 116 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 75, 23 ], [ 89, 76, 55 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 79, 51 ], [ 89, 80, 38 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 83, 19 ], [ 89, 84, 104 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 87, 67 ], [ 89, 88, 26 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 91, 12 ], [ 89, 92, 25 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 95, 103 ], [ 89, 96, 115 ], [ 89, 97, 38 ], [ 89, 98, 51 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 101, 103 ], [ 89, 102, 67 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 105, 104 ], [ 89, 106, 12 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 109, 116 ], [ 89, 110, 23 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 113, 25 ], [ 89, 114, 26 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 117, 55 ], [ 89, 118, 19 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 1, 7 ], [ 90, 2, 26 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 5, 59 ], [ 90, 6, 111 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 9, 25 ], [ 90, 10, 64 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 13, 96 ], [ 90, 14, 15 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 17, 56 ], [ 90, 18, 107 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 21, 11 ], [ 90, 22, 38 ], [ 90, 23, 33 ], [ 90, 24, 25 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 27, 56 ], [ 90, 28, 11 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 31, 38 ], [ 90, 32, 107 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 35, 7 ], [ 90, 36, 64 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 39, 26 ], [ 90, 40, 111 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 43, 15 ], [ 90, 44, 96 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 47, 59 ], [ 90, 48, 34 ], [ 90, 49, 59 ], [ 90, 50, 96 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 53, 38 ], [ 90, 54, 56 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 57, 111 ], [ 90, 58, 15 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 61, 107 ], [ 90, 62, 11 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 65, 25 ], [ 90, 66, 26 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 69, 64 ], [ 90, 70, 7 ], [ 90, 71, 48 ], [ 90, 72, 7 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 75, 64 ], [ 90, 76, 107 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 79, 11 ], [ 90, 80, 38 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 83, 96 ], [ 90, 84, 59 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 87, 15 ], [ 90, 88, 26 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 91, 111 ], [ 90, 92, 25 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 95, 56 ], [ 90, 96, 0 ], [ 90, 97, 26 ], [ 90, 98, 111 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 101, 15 ], [ 90, 102, 25 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 105, 107 ], [ 90, 106, 64 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 109, 96 ], [ 90, 110, 56 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 113, 11 ], [ 90, 114, 7 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 117, 38 ], [ 90, 118, 59 ], [ 90, 119, 33 ], [ 91, 0, 0 ], [ 91, 1, 7 ], [ 91, 2, 56 ], [ 91, 3, 52 ], [ 91, 4, 33 ], [ 91, 5, 29 ], [ 91, 6, 111 ], [ 91, 7, 104 ], [ 91, 8, 63 ], [ 91, 9, 52 ], [ 91, 10, 38 ], [ 91, 11, 29 ], [ 91, 12, 100 ], [ 91, 13, 104 ], [ 91, 14, 16 ], [ 91, 15, 7 ], [ 91, 16, 38 ], [ 91, 17, 33 ], [ 91, 18, 100 ], [ 91, 19, 111 ], [ 91, 20, 16 ], [ 91, 21, 0 ], [ 91, 22, 63 ], [ 91, 23, 56 ], [ 91, 24, 25 ], [ 91, 25, 48 ], [ 91, 26, 34 ], [ 91, 27, 8 ], [ 91, 28, 59 ], [ 91, 29, 3 ], [ 91, 30, 63 ], [ 91, 31, 38 ], [ 91, 32, 111 ], [ 91, 33, 8 ], [ 91, 34, 104 ], [ 91, 35, 3 ], [ 91, 36, 16 ], [ 91, 37, 38 ], [ 91, 38, 100 ], [ 91, 39, 48 ], [ 91, 40, 104 ], [ 91, 41, 59 ], [ 91, 42, 16 ], [ 91, 43, 63 ], [ 91, 44, 100 ], [ 91, 45, 25 ], [ 91, 46, 111 ], [ 91, 47, 34 ], [ 91, 48, 34 ], [ 91, 49, 59 ], [ 91, 50, 25 ], [ 91, 51, 119 ], [ 91, 52, 48 ], [ 91, 53, 116 ], [ 91, 54, 56 ], [ 91, 55, 33 ], [ 91, 56, 0 ], [ 91, 57, 119 ], [ 91, 58, 7 ], [ 91, 59, 116 ], [ 91, 60, 100 ], [ 91, 61, 33 ], [ 91, 62, 16 ], [ 91, 63, 59 ], [ 91, 64, 7 ], [ 91, 65, 48 ], [ 91, 66, 100 ], [ 91, 67, 56 ], [ 91, 68, 16 ], [ 91, 69, 34 ], [ 91, 70, 0 ], [ 91, 71, 25 ], [ 91, 72, 25 ], [ 91, 73, 3 ], [ 91, 74, 34 ], [ 91, 75, 116 ], [ 91, 76, 8 ], [ 91, 77, 119 ], [ 91, 78, 0 ], [ 91, 79, 29 ], [ 91, 80, 56 ], [ 91, 81, 116 ], [ 91, 82, 52 ], [ 91, 83, 119 ], [ 91, 84, 111 ], [ 91, 85, 29 ], [ 91, 86, 63 ], [ 91, 87, 3 ], [ 91, 88, 52 ], [ 91, 89, 8 ], [ 91, 90, 111 ], [ 91, 91, 0 ], [ 91, 92, 63 ], [ 91, 93, 25 ], [ 91, 94, 56 ], [ 91, 95, 34 ], [ 91, 96, 48 ], [ 91, 97, 8 ], [ 91, 98, 59 ], [ 91, 99, 119 ], [ 91, 100, 3 ], [ 91, 101, 116 ], [ 91, 102, 7 ], [ 91, 103, 52 ], [ 91, 104, 33 ], [ 91, 105, 119 ], [ 91, 106, 29 ], [ 91, 107, 116 ], [ 91, 108, 104 ], [ 91, 109, 52 ], [ 91, 110, 38 ], [ 91, 111, 8 ], [ 91, 112, 29 ], [ 91, 113, 3 ], [ 91, 114, 104 ], [ 91, 115, 7 ], [ 91, 116, 38 ], [ 91, 117, 48 ], [ 91, 118, 33 ], [ 91, 119, 59 ], [ 92, 0, 0 ], [ 92, 1, 55 ], [ 92, 2, 26 ], [ 92, 3, 52 ], [ 92, 4, 33 ], [ 92, 5, 11 ], [ 92, 6, 11 ], [ 92, 7, 52 ], [ 92, 8, 115 ], [ 92, 9, 55 ], [ 92, 10, 119 ], [ 92, 11, 0 ], [ 92, 12, 33 ], [ 92, 13, 55 ], [ 92, 14, 119 ], [ 92, 15, 52 ], [ 92, 16, 115 ], [ 92, 17, 26 ], [ 92, 18, 26 ], [ 92, 19, 0 ], [ 92, 20, 115 ], [ 92, 21, 11 ], [ 92, 22, 119 ], [ 92, 23, 33 ], [ 92, 24, 25 ], [ 92, 25, 30 ], [ 92, 26, 4 ], [ 92, 27, 8 ], [ 92, 28, 59 ], [ 92, 29, 51 ], [ 92, 30, 51 ], [ 92, 31, 8 ], [ 92, 32, 115 ], [ 92, 33, 30 ], [ 92, 34, 119 ], [ 92, 35, 25 ], [ 92, 36, 59 ], [ 92, 37, 30 ], [ 92, 38, 119 ], [ 92, 39, 8 ], [ 92, 40, 115 ], [ 92, 41, 4 ], [ 92, 42, 4 ], [ 92, 43, 25 ], [ 92, 44, 115 ], [ 92, 45, 51 ], [ 92, 46, 119 ], [ 92, 47, 59 ], [ 92, 48, 108 ], [ 92, 49, 99 ], [ 92, 50, 4 ], [ 92, 51, 15 ], [ 92, 52, 59 ], [ 92, 53, 60 ], [ 92, 54, 60 ], [ 92, 55, 15 ], [ 92, 56, 26 ], [ 92, 57, 99 ], [ 92, 58, 33 ], [ 92, 59, 108 ], [ 92, 60, 59 ], [ 92, 61, 99 ], [ 92, 62, 33 ], [ 92, 63, 15 ], [ 92, 64, 26 ], [ 92, 65, 4 ], [ 92, 66, 4 ], [ 92, 67, 108 ], [ 92, 68, 26 ], [ 92, 69, 60 ], [ 92, 70, 33 ], [ 92, 71, 59 ], [ 92, 72, 108 ], [ 92, 73, 107 ], [ 92, 74, 25 ], [ 92, 75, 41 ], [ 92, 76, 51 ], [ 92, 77, 60 ], [ 92, 78, 60 ], [ 92, 79, 41 ], [ 92, 80, 0 ], [ 92, 81, 107 ], [ 92, 82, 11 ], [ 92, 83, 108 ], [ 92, 84, 51 ], [ 92, 85, 107 ], [ 92, 86, 11 ], [ 92, 87, 41 ], [ 92, 88, 0 ], [ 92, 89, 25 ], [ 92, 90, 25 ], [ 92, 91, 108 ], [ 92, 92, 0 ], [ 92, 93, 60 ], [ 92, 94, 11 ], [ 92, 95, 51 ], [ 92, 96, 99 ], [ 92, 97, 107 ], [ 92, 98, 30 ], [ 92, 99, 41 ], [ 92, 100, 8 ], [ 92, 101, 15 ], [ 92, 102, 15 ], [ 92, 103, 41 ], [ 92, 104, 55 ], [ 92, 105, 107 ], [ 92, 106, 52 ], [ 92, 107, 99 ], [ 92, 108, 8 ], [ 92, 109, 107 ], [ 92, 110, 52 ], [ 92, 111, 41 ], [ 92, 112, 55 ], [ 92, 113, 30 ], [ 92, 114, 30 ], [ 92, 115, 99 ], [ 92, 116, 55 ], [ 92, 117, 15 ], [ 92, 118, 52 ], [ 92, 119, 8 ], [ 93, 0, 0 ], [ 93, 1, 55 ], [ 93, 2, 8 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 5, 29 ], [ 93, 6, 11 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 9, 104 ], [ 93, 10, 60 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 13, 25 ], [ 93, 14, 16 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 17, 112 ], [ 93, 18, 56 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 21, 99 ], [ 93, 22, 37 ], [ 93, 23, 100 ], [ 93, 24, 25 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 27, 56 ], [ 93, 28, 11 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 31, 8 ], [ 93, 32, 99 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 35, 37 ], [ 93, 36, 29 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 39, 60 ], [ 93, 40, 104 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 43, 55 ], [ 93, 44, 112 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 47, 16 ], [ 93, 48, 108 ], [ 93, 49, 99 ], [ 93, 50, 55 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 53, 16 ], [ 93, 54, 60 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 57, 112 ], [ 93, 58, 25 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 61, 11 ], [ 93, 62, 37 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 65, 56 ], [ 93, 66, 104 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 69, 8 ], [ 93, 70, 29 ], [ 93, 71, 3 ], [ 93, 72, 104 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 75, 37 ], [ 93, 76, 8 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 79, 16 ], [ 93, 80, 56 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 83, 99 ], [ 93, 84, 112 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 87, 29 ], [ 93, 88, 55 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 91, 25 ], [ 93, 92, 60 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 95, 11 ], [ 93, 96, 103 ], [ 93, 97, 112 ], [ 93, 98, 29 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 101, 60 ], [ 93, 102, 37 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 105, 104 ], [ 93, 106, 11 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 109, 56 ], [ 93, 110, 16 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 113, 25 ], [ 93, 114, 99 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 117, 55 ], [ 93, 118, 8 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 1, 25 ], [ 94, 2, 56 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 5, 11 ], [ 94, 6, 19 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 9, 34 ], [ 94, 10, 115 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 13, 42 ], [ 94, 14, 119 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 17, 51 ], [ 94, 18, 71 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 21, 0 ], [ 94, 22, 116 ], [ 94, 23, 56 ], [ 94, 24, 25 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 27, 56 ], [ 94, 28, 11 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 31, 78 ], [ 94, 32, 116 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 35, 51 ], [ 94, 36, 89 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 39, 0 ], [ 94, 40, 115 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 43, 73 ], [ 94, 44, 119 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 47, 34 ], [ 94, 48, 42 ], [ 94, 49, 19 ], [ 94, 50, 34 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 53, 115 ], [ 94, 54, 78 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 57, 116 ], [ 94, 58, 51 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 61, 73 ], [ 94, 62, 71 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 65, 11 ], [ 94, 66, 89 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 69, 42 ], [ 94, 70, 56 ], [ 94, 71, 34 ], [ 94, 72, 42 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 75, 119 ], [ 94, 76, 51 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 79, 89 ], [ 94, 80, 0 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 83, 115 ], [ 94, 84, 73 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 87, 71 ], [ 94, 88, 11 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 91, 78 ], [ 94, 92, 19 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 95, 25 ], [ 94, 96, 19 ], [ 94, 97, 71 ], [ 94, 98, 0 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 101, 116 ], [ 94, 102, 73 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 105, 119 ], [ 94, 106, 34 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 109, 89 ], [ 94, 110, 42 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 113, 56 ], [ 94, 114, 78 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 117, 19 ], [ 94, 118, 25 ], [ 94, 119, 0 ], [ 95, 0, 0 ], [ 95, 1, 25 ], [ 95, 2, 8 ], [ 95, 3, 52 ], [ 95, 4, 33 ], [ 95, 5, 59 ], [ 95, 6, 19 ], [ 95, 7, 42 ], [ 95, 8, 16 ], [ 95, 9, 108 ], [ 95, 10, 41 ], [ 95, 11, 111 ], [ 95, 12, 23 ], [ 95, 13, 68 ], [ 95, 14, 15 ], [ 95, 15, 104 ], [ 95, 16, 63 ], [ 95, 17, 107 ], [ 95, 18, 46 ], [ 95, 19, 67 ], [ 95, 20, 38 ], [ 95, 21, 99 ], [ 95, 22, 60 ], [ 95, 23, 100 ], [ 95, 24, 25 ], [ 95, 25, 0 ], [ 95, 26, 52 ], [ 95, 27, 8 ], [ 95, 28, 59 ], [ 95, 29, 33 ], [ 95, 30, 73 ], [ 95, 31, 78 ], [ 95, 32, 100 ], [ 95, 33, 60 ], [ 95, 34, 107 ], [ 95, 35, 63 ], [ 95, 36, 77 ], [ 95, 37, 86 ], [ 95, 38, 99 ], [ 95, 39, 38 ], [ 95, 40, 111 ], [ 95, 41, 41 ], [ 95, 42, 82 ], [ 95, 43, 85 ], [ 95, 44, 104 ], [ 95, 45, 15 ], [ 95, 46, 108 ], [ 95, 47, 16 ], [ 95, 48, 42 ], [ 95, 49, 19 ], [ 95, 50, 108 ], [ 95, 51, 16 ], [ 95, 52, 111 ], [ 95, 53, 41 ], [ 95, 54, 78 ], [ 95, 55, 73 ], [ 95, 56, 60 ], [ 95, 57, 100 ], [ 95, 58, 63 ], [ 95, 59, 107 ], [ 95, 60, 85 ], [ 95, 61, 82 ], [ 95, 62, 67 ], [ 95, 63, 46 ], [ 95, 64, 59 ], [ 95, 65, 33 ], [ 95, 66, 86 ], [ 95, 67, 77 ], [ 95, 68, 68 ], [ 95, 69, 23 ], [ 95, 70, 52 ], [ 95, 71, 8 ], [ 95, 72, 68 ], [ 95, 73, 23 ], [ 95, 74, 104 ], [ 95, 75, 15 ], [ 95, 76, 107 ], [ 95, 77, 63 ], [ 95, 78, 86 ], [ 95, 79, 77 ], [ 95, 80, 38 ], [ 95, 81, 99 ], [ 95, 82, 41 ], [ 95, 83, 111 ], [ 95, 84, 82 ], [ 95, 85, 85 ], [ 95, 86, 46 ], [ 95, 87, 67 ], [ 95, 88, 33 ], [ 95, 89, 59 ], [ 95, 90, 78 ], [ 95, 91, 73 ], [ 95, 92, 42 ], [ 95, 93, 19 ], [ 95, 94, 25 ], [ 95, 95, 0 ], [ 95, 96, 67 ], [ 95, 97, 46 ], [ 95, 98, 99 ], [ 95, 99, 38 ], [ 95, 100, 100 ], [ 95, 101, 60 ], [ 95, 102, 85 ], [ 95, 103, 82 ], [ 95, 104, 15 ], [ 95, 105, 104 ], [ 95, 106, 16 ], [ 95, 107, 108 ], [ 95, 108, 77 ], [ 95, 109, 86 ], [ 95, 110, 23 ], [ 95, 111, 68 ], [ 95, 112, 8 ], [ 95, 113, 52 ], [ 95, 114, 73 ], [ 95, 115, 78 ], [ 95, 116, 19 ], [ 95, 117, 42 ], [ 95, 118, 0 ], [ 95, 119, 25 ], [ 96, 0, 0 ], [ 96, 1, 3 ], [ 96, 2, 8 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 5, 16 ], [ 96, 6, 30 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 9, 45 ], [ 96, 10, 33 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 13, 64 ], [ 96, 14, 60 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 17, 67 ], [ 96, 18, 81 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 21, 94 ], [ 96, 22, 82 ], [ 96, 23, 90 ], [ 96, 24, 45 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 27, 67 ], [ 96, 28, 94 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 31, 82 ], [ 96, 32, 81 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 35, 3 ], [ 96, 36, 33 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 39, 8 ], [ 96, 40, 30 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 43, 60 ], [ 96, 44, 64 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 47, 16 ], [ 96, 48, 11 ], [ 96, 49, 16 ], [ 96, 50, 64 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 53, 82 ], [ 96, 54, 67 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 57, 30 ], [ 96, 58, 60 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 61, 81 ], [ 96, 62, 94 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 65, 45 ], [ 96, 66, 8 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 69, 33 ], [ 96, 70, 3 ], [ 96, 71, 46 ], [ 96, 72, 3 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 75, 33 ], [ 96, 76, 81 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 79, 94 ], [ 96, 80, 82 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 83, 64 ], [ 96, 84, 16 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 87, 60 ], [ 96, 88, 8 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 91, 30 ], [ 96, 92, 45 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 95, 67 ], [ 96, 96, 0 ], [ 96, 97, 8 ], [ 96, 98, 30 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 101, 60 ], [ 96, 102, 45 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 105, 81 ], [ 96, 106, 33 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 109, 64 ], [ 96, 110, 67 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 113, 94 ], [ 96, 114, 3 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 117, 82 ], [ 96, 118, 16 ], [ 96, 119, 90 ], [ 97, 0, 0 ], [ 97, 1, 3 ], [ 97, 2, 12 ], [ 97, 3, 16 ], [ 97, 4, 7 ], [ 97, 5, 11 ], [ 97, 6, 30 ], [ 97, 7, 37 ], [ 97, 8, 26 ], [ 97, 9, 46 ], [ 97, 10, 25 ], [ 97, 11, 45 ], [ 97, 12, 86 ], [ 97, 13, 82 ], [ 97, 14, 74 ], [ 97, 15, 90 ], [ 97, 16, 77 ], [ 97, 17, 93 ], [ 97, 18, 63 ], [ 97, 19, 59 ], [ 97, 20, 51 ], [ 97, 21, 67 ], [ 97, 22, 52 ], [ 97, 23, 68 ], [ 97, 24, 45 ], [ 97, 25, 46 ], [ 97, 26, 93 ], [ 97, 27, 90 ], [ 97, 28, 68 ], [ 97, 29, 67 ], [ 97, 30, 59 ], [ 97, 31, 82 ], [ 97, 32, 107 ], [ 97, 33, 3 ], [ 97, 34, 104 ], [ 97, 35, 0 ], [ 97, 36, 63 ], [ 97, 37, 37 ], [ 97, 38, 119 ], [ 97, 39, 16 ], [ 97, 40, 115 ], [ 97, 41, 12 ], [ 97, 42, 86 ], [ 97, 43, 30 ], [ 97, 44, 112 ], [ 97, 45, 11 ], [ 97, 46, 108 ], [ 97, 47, 7 ], [ 97, 48, 11 ], [ 97, 49, 16 ], [ 97, 50, 77 ], [ 97, 51, 82 ], [ 97, 52, 52 ], [ 97, 53, 59 ], [ 97, 54, 67 ], [ 97, 55, 90 ], [ 97, 56, 115 ], [ 97, 57, 37 ], [ 97, 58, 108 ], [ 97, 59, 30 ], [ 97, 60, 51 ], [ 97, 61, 3 ], [ 97, 62, 112 ], [ 97, 63, 46 ], [ 97, 64, 107 ], [ 97, 65, 26 ], [ 97, 66, 74 ], [ 97, 67, 0 ], [ 97, 68, 119 ], [ 97, 69, 45 ], [ 97, 70, 104 ], [ 97, 71, 25 ], [ 97, 72, 7 ], [ 97, 73, 3 ], [ 97, 74, 25 ], [ 97, 75, 37 ], [ 97, 76, 51 ], [ 97, 77, 63 ], [ 97, 78, 68 ], [ 97, 79, 46 ], [ 97, 80, 104 ], [ 97, 81, 82 ], [ 97, 82, 112 ], [ 97, 83, 86 ], [ 97, 84, 52 ], [ 97, 85, 16 ], [ 97, 86, 108 ], [ 97, 87, 90 ], [ 97, 88, 119 ], [ 97, 89, 74 ], [ 97, 90, 26 ], [ 97, 91, 12 ], [ 97, 92, 107 ], [ 97, 93, 93 ], [ 97, 94, 115 ], [ 97, 95, 77 ], [ 97, 96, 12 ], [ 97, 97, 0 ], [ 97, 98, 26 ], [ 97, 99, 30 ], [ 97, 100, 74 ], [ 97, 101, 86 ], [ 97, 102, 93 ], [ 97, 103, 45 ], [ 97, 104, 107 ], [ 97, 105, 59 ], [ 97, 106, 119 ], [ 97, 107, 63 ], [ 97, 108, 77 ], [ 97, 109, 11 ], [ 97, 110, 115 ], [ 97, 111, 67 ], [ 97, 112, 112 ], [ 97, 113, 51 ], [ 97, 114, 25 ], [ 97, 115, 7 ], [ 97, 116, 104 ], [ 97, 117, 68 ], [ 97, 118, 108 ], [ 97, 119, 52 ], [ 98, 0, 0 ], [ 98, 1, 15 ], [ 98, 2, 8 ], [ 98, 3, 16 ], [ 98, 4, 7 ], [ 98, 5, 4 ], [ 98, 6, 48 ], [ 98, 7, 51 ], [ 98, 8, 60 ], [ 98, 9, 71 ], [ 98, 10, 55 ], [ 98, 11, 68 ], [ 98, 12, 26 ], [ 98, 13, 29 ], [ 98, 14, 38 ], [ 98, 15, 45 ], [ 98, 16, 34 ], [ 98, 17, 42 ], [ 98, 18, 73 ], [ 98, 19, 77 ], [ 98, 20, 81 ], [ 98, 21, 94 ], [ 98, 22, 89 ], [ 98, 23, 90 ], [ 98, 24, 45 ], [ 98, 25, 94 ], [ 98, 26, 71 ], [ 98, 27, 90 ], [ 98, 28, 68 ], [ 98, 29, 42 ], [ 98, 30, 111 ], [ 98, 31, 112 ], [ 98, 32, 89 ], [ 98, 33, 8 ], [ 98, 34, 34 ], [ 98, 35, 7 ], [ 98, 36, 107 ], [ 98, 37, 103 ], [ 98, 38, 81 ], [ 98, 39, 0 ], [ 98, 40, 55 ], [ 98, 41, 4 ], [ 98, 42, 116 ], [ 98, 43, 115 ], [ 98, 44, 38 ], [ 98, 45, 15 ], [ 98, 46, 60 ], [ 98, 47, 16 ], [ 98, 48, 29 ], [ 98, 49, 77 ], [ 98, 50, 16 ], [ 98, 51, 89 ], [ 98, 52, 4 ], [ 98, 53, 34 ], [ 98, 54, 103 ], [ 98, 55, 115 ], [ 98, 56, 90 ], [ 98, 57, 60 ], [ 98, 58, 42 ], [ 98, 59, 55 ], [ 98, 60, 116 ], [ 98, 61, 111 ], [ 98, 62, 73 ], [ 98, 63, 48 ], [ 98, 64, 7 ], [ 98, 65, 68 ], [ 98, 66, 107 ], [ 98, 67, 112 ], [ 98, 68, 26 ], [ 98, 69, 51 ], [ 98, 70, 8 ], [ 98, 71, 71 ], [ 98, 72, 51 ], [ 98, 73, 73 ], [ 98, 74, 15 ], [ 98, 75, 81 ], [ 98, 76, 7 ], [ 98, 77, 55 ], [ 98, 78, 112 ], [ 98, 79, 116 ], [ 98, 80, 94 ], [ 98, 81, 38 ], [ 98, 82, 68 ], [ 98, 83, 34 ], [ 98, 84, 115 ], [ 98, 85, 107 ], [ 98, 86, 77 ], [ 98, 87, 26 ], [ 98, 88, 4 ], [ 98, 89, 42 ], [ 98, 90, 111 ], [ 98, 91, 103 ], [ 98, 92, 48 ], [ 98, 93, 29 ], [ 98, 94, 0 ], [ 98, 95, 45 ], [ 98, 96, 48 ], [ 98, 97, 26 ], [ 98, 98, 0 ], [ 98, 99, 38 ], [ 98, 100, 8 ], [ 98, 101, 60 ], [ 98, 102, 111 ], [ 98, 103, 107 ], [ 98, 104, 45 ], [ 98, 105, 81 ], [ 98, 106, 71 ], [ 98, 107, 89 ], [ 98, 108, 103 ], [ 98, 109, 116 ], [ 98, 110, 29 ], [ 98, 111, 73 ], [ 98, 112, 16 ], [ 98, 113, 90 ], [ 98, 114, 112 ], [ 98, 115, 115 ], [ 98, 116, 51 ], [ 98, 117, 77 ], [ 98, 118, 15 ], [ 98, 119, 94 ], [ 99, 0, 0 ], [ 99, 1, 15 ], [ 99, 2, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 5, 11 ], [ 99, 6, 48 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 9, 67 ], [ 99, 10, 51 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 13, 77 ], [ 99, 14, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 17, 94 ], [ 99, 18, 25 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 21, 45 ], [ 99, 22, 29 ], [ 99, 23, 45 ], [ 99, 24, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 27, 67 ], [ 99, 28, 94 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 31, 112 ], [ 99, 32, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 35, 11 ], [ 99, 36, 119 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 39, 15 ], [ 99, 40, 115 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 43, 103 ], [ 99, 44, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 47, 0 ], [ 99, 48, 29 ], [ 99, 49, 77 ], [ 99, 50, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 53, 11 ], [ 99, 54, 103 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 57, 67 ], [ 99, 58, 115 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 61, 112 ], [ 99, 62, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 65, 51 ], [ 99, 66, 96 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 69, 48 ], [ 99, 70, 111 ], [ 99, 71, 48 ], [ 99, 72, 25 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 75, 15 ], [ 99, 76, 51 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 79, 112 ], [ 99, 80, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 83, 94 ], [ 99, 84, 96 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 87, 77 ], [ 99, 88, 115 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 91, 119 ], [ 99, 92, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 95, 74 ], [ 99, 96, 74 ], [ 99, 97, 48 ], [ 99, 98, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 101, 0 ], [ 99, 102, 119 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 105, 45 ], [ 99, 106, 111 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 109, 103 ], [ 99, 110, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 113, 29 ], [ 99, 114, 96 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 117, 25 ], [ 99, 118, 104 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 1, 7 ], [ 100, 2, 12 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 5, 4 ], [ 100, 6, 86 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 9, 94 ], [ 100, 10, 85 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 13, 41 ], [ 100, 14, 38 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 17, 45 ], [ 100, 18, 55 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 21, 67 ], [ 100, 22, 59 ], [ 100, 23, 68 ], [ 100, 24, 45 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 27, 67 ], [ 100, 28, 94 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 31, 38 ], [ 100, 32, 41 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 35, 12 ], [ 100, 36, 59 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 39, 4 ], [ 100, 40, 55 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 43, 85 ], [ 100, 44, 86 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 47, 7 ], [ 100, 48, 34 ], [ 100, 49, 59 ], [ 100, 50, 4 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 53, 41 ], [ 100, 54, 55 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 57, 85 ], [ 100, 58, 67 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 61, 12 ], [ 100, 62, 7 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 65, 86 ], [ 100, 66, 45 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 69, 94 ], [ 100, 70, 38 ], [ 100, 71, 81 ], [ 100, 72, 85 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 75, 55 ], [ 100, 76, 7 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 79, 86 ], [ 100, 80, 94 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 83, 38 ], [ 100, 84, 67 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 87, 45 ], [ 100, 88, 59 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 91, 4 ], [ 100, 92, 12 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 95, 41 ], [ 100, 96, 78 ], [ 100, 97, 38 ], [ 100, 98, 12 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 101, 86 ], [ 100, 102, 41 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 105, 59 ], [ 100, 106, 45 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 109, 7 ], [ 100, 110, 4 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 113, 55 ], [ 100, 114, 94 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 117, 67 ], [ 100, 118, 85 ], [ 100, 119, 64 ], [ 101, 0, 0 ], [ 101, 1, 7 ], [ 101, 2, 0 ], [ 101, 3, 16 ], [ 101, 4, 7 ], [ 101, 5, 16 ], [ 101, 6, 86 ], [ 101, 7, 81 ], [ 101, 8, 86 ], [ 101, 9, 90 ], [ 101, 10, 81 ], [ 101, 11, 90 ], [ 101, 12, 60 ], [ 101, 13, 59 ], [ 101, 14, 60 ], [ 101, 15, 68 ], [ 101, 16, 59 ], [ 101, 17, 68 ], [ 101, 18, 37 ], [ 101, 19, 34 ], [ 101, 20, 37 ], [ 101, 21, 45 ], [ 101, 22, 34 ], [ 101, 23, 45 ], [ 101, 24, 45 ], [ 101, 25, 68 ], [ 101, 26, 45 ], [ 101, 27, 90 ], [ 101, 28, 68 ], [ 101, 29, 90 ], [ 101, 30, 63 ], [ 101, 31, 38 ], [ 101, 32, 63 ], [ 101, 33, 16 ], [ 101, 34, 38 ], [ 101, 35, 16 ], [ 101, 36, 89 ], [ 101, 37, 30 ], [ 101, 38, 89 ], [ 101, 39, 7 ], [ 101, 40, 30 ], [ 101, 41, 7 ], [ 101, 42, 82 ], [ 101, 43, 55 ], [ 101, 44, 82 ], [ 101, 45, 0 ], [ 101, 46, 55 ], [ 101, 47, 0 ], [ 101, 48, 34 ], [ 101, 49, 59 ], [ 101, 50, 34 ], [ 101, 51, 16 ], [ 101, 52, 59 ], [ 101, 53, 16 ], [ 101, 54, 55 ], [ 101, 55, 30 ], [ 101, 56, 55 ], [ 101, 57, 90 ], [ 101, 58, 30 ], [ 101, 59, 90 ], [ 101, 60, 20 ], [ 101, 61, 38 ], [ 101, 62, 20 ], [ 101, 63, 81 ], [ 101, 64, 38 ], [ 101, 65, 81 ], [ 101, 66, 19 ], [ 101, 67, 63 ], [ 101, 68, 19 ], [ 101, 69, 86 ], [ 101, 70, 63 ], [ 101, 71, 86 ], [ 101, 72, 37 ], [ 101, 73, 81 ], [ 101, 74, 37 ], [ 101, 75, 7 ], [ 101, 76, 81 ], [ 101, 77, 7 ], [ 101, 78, 82 ], [ 101, 79, 38 ], [ 101, 80, 82 ], [ 101, 81, 68 ], [ 101, 82, 38 ], [ 101, 83, 68 ], [ 101, 84, 19 ], [ 101, 85, 30 ], [ 101, 86, 19 ], [ 101, 87, 59 ], [ 101, 88, 30 ], [ 101, 89, 59 ], [ 101, 90, 20 ], [ 101, 91, 89 ], [ 101, 92, 20 ], [ 101, 93, 60 ], [ 101, 94, 89 ], [ 101, 95, 60 ], [ 101, 96, 60 ], [ 101, 97, 86 ], [ 101, 98, 60 ], [ 101, 99, 0 ], [ 101, 100, 86 ], [ 101, 101, 0 ], [ 101, 102, 89 ], [ 101, 103, 63 ], [ 101, 104, 89 ], [ 101, 105, 45 ], [ 101, 106, 63 ], [ 101, 107, 45 ], [ 101, 108, 20 ], [ 101, 109, 55 ], [ 101, 110, 20 ], [ 101, 111, 34 ], [ 101, 112, 55 ], [ 101, 113, 34 ], [ 101, 114, 19 ], [ 101, 115, 82 ], [ 101, 116, 19 ], [ 101, 117, 37 ], [ 101, 118, 82 ], [ 101, 119, 37 ], [ 102, 0, 0 ], [ 102, 1, 3 ], [ 102, 2, 56 ], [ 102, 3, 59 ], [ 102, 4, 81 ], [ 102, 5, 82 ], [ 102, 6, 30 ], [ 102, 7, 37 ], [ 102, 8, 60 ], [ 102, 9, 67 ], [ 102, 10, 85 ], [ 102, 11, 90 ], [ 102, 12, 26 ], [ 102, 13, 41 ], [ 102, 14, 12 ], [ 102, 15, 23 ], [ 102, 16, 77 ], [ 102, 17, 93 ], [ 102, 18, 25 ], [ 102, 19, 34 ], [ 102, 20, 7 ], [ 102, 21, 20 ], [ 102, 22, 52 ], [ 102, 23, 68 ], [ 102, 24, 99 ], [ 102, 25, 100 ], [ 102, 26, 112 ], [ 102, 27, 111 ], [ 102, 28, 119 ], [ 102, 29, 116 ], [ 102, 30, 67 ], [ 102, 31, 90 ], [ 102, 32, 85 ], [ 102, 33, 30 ], [ 102, 34, 60 ], [ 102, 35, 37 ], [ 102, 36, 23 ], [ 102, 37, 93 ], [ 102, 38, 77 ], [ 102, 39, 26 ], [ 102, 40, 12 ], [ 102, 41, 41 ], [ 102, 42, 20 ], [ 102, 43, 68 ], [ 102, 44, 52 ], [ 102, 45, 25 ], [ 102, 46, 7 ], [ 102, 47, 34 ], [ 102, 48, 111 ], [ 102, 49, 116 ], [ 102, 50, 119 ], [ 102, 51, 99 ], [ 102, 52, 112 ], [ 102, 53, 100 ], [ 102, 54, 59 ], [ 102, 55, 82 ], [ 102, 56, 81 ], [ 102, 57, 0 ], [ 102, 58, 56 ], [ 102, 59, 3 ], [ 102, 60, 41 ], [ 102, 61, 77 ], [ 102, 62, 93 ], [ 102, 63, 12 ], [ 102, 64, 26 ], [ 102, 65, 23 ], [ 102, 66, 34 ], [ 102, 67, 52 ], [ 102, 68, 68 ], [ 102, 69, 7 ], [ 102, 70, 25 ], [ 102, 71, 20 ], [ 102, 72, 100 ], [ 102, 73, 119 ], [ 102, 74, 116 ], [ 102, 75, 112 ], [ 102, 76, 99 ], [ 102, 77, 111 ], [ 102, 78, 3 ], [ 102, 79, 81 ], [ 102, 80, 82 ], [ 102, 81, 56 ], [ 102, 82, 0 ], [ 102, 83, 59 ], [ 102, 84, 37 ], [ 102, 85, 85 ], [ 102, 86, 90 ], [ 102, 87, 60 ], [ 102, 88, 30 ], [ 102, 89, 67 ], [ 102, 90, 25 ], [ 102, 91, 7 ], [ 102, 92, 20 ], [ 102, 93, 52 ], [ 102, 94, 34 ], [ 102, 95, 68 ], [ 102, 96, 99 ], [ 102, 97, 112 ], [ 102, 98, 111 ], [ 102, 99, 119 ], [ 102, 100, 100 ], [ 102, 101, 116 ], [ 102, 102, 0 ], [ 102, 103, 56 ], [ 102, 104, 59 ], [ 102, 105, 81 ], [ 102, 106, 3 ], [ 102, 107, 82 ], [ 102, 108, 30 ], [ 102, 109, 60 ], [ 102, 110, 67 ], [ 102, 111, 85 ], [ 102, 112, 37 ], [ 102, 113, 90 ], [ 102, 114, 26 ], [ 102, 115, 12 ], [ 102, 116, 23 ], [ 102, 117, 77 ], [ 102, 118, 41 ], [ 102, 119, 93 ], [ 103, 0, 0 ], [ 103, 1, 3 ], [ 103, 2, 78 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 5, 59 ], [ 103, 6, 30 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 9, 90 ], [ 103, 10, 55 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 13, 29 ], [ 103, 14, 0 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 17, 67 ], [ 103, 18, 37 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 21, 19 ], [ 103, 22, 82 ], [ 103, 23, 90 ], [ 103, 24, 99 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 27, 116 ], [ 103, 28, 108 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 31, 90 ], [ 103, 32, 115 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 35, 30 ], [ 103, 36, 67 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 39, 29 ], [ 103, 40, 111 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 43, 19 ], [ 103, 44, 100 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 47, 37 ], [ 103, 48, 111 ], [ 103, 49, 116 ], [ 103, 50, 107 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 53, 99 ], [ 103, 54, 59 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 57, 3 ], [ 103, 58, 104 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 61, 29 ], [ 103, 62, 111 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 65, 0 ], [ 103, 66, 82 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 69, 19 ], [ 103, 70, 100 ], [ 103, 71, 3 ], [ 103, 72, 108 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 75, 116 ], [ 103, 76, 107 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 79, 3 ], [ 103, 80, 104 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 83, 78 ], [ 103, 84, 55 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 87, 90 ], [ 103, 88, 115 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 91, 37 ], [ 103, 92, 100 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 95, 82 ], [ 103, 96, 115 ], [ 103, 97, 99 ], [ 103, 98, 107 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 101, 108 ], [ 103, 102, 78 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 105, 59 ], [ 103, 106, 104 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 109, 30 ], [ 103, 110, 115 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 113, 55 ], [ 103, 114, 0 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 117, 67 ], [ 103, 118, 111 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 1, 81 ], [ 104, 2, 56 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 5, 4 ], [ 104, 6, 0 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 9, 94 ], [ 104, 10, 25 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 13, 82 ], [ 104, 14, 38 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 17, 68 ], [ 104, 18, 55 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 21, 20 ], [ 104, 22, 34 ], [ 104, 23, 68 ], [ 104, 24, 99 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 27, 116 ], [ 104, 28, 108 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 31, 119 ], [ 104, 32, 94 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 35, 25 ], [ 104, 36, 112 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 39, 38 ], [ 104, 40, 68 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 43, 96 ], [ 104, 44, 20 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 47, 34 ], [ 104, 48, 103 ], [ 104, 49, 107 ], [ 104, 50, 116 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 53, 108 ], [ 104, 54, 103 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 57, 56 ], [ 104, 58, 4 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 61, 112 ], [ 104, 62, 82 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 65, 68 ], [ 104, 66, 96 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 69, 55 ], [ 104, 70, 34 ], [ 104, 71, 68 ], [ 104, 72, 107 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 75, 99 ], [ 104, 76, 108 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 79, 103 ], [ 104, 80, 81 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 83, 4 ], [ 104, 84, 119 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 87, 0 ], [ 104, 88, 25 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 91, 96 ], [ 104, 92, 55 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 95, 20 ], [ 104, 96, 103 ], [ 104, 97, 107 ], [ 104, 98, 99 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 101, 116 ], [ 104, 102, 103 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 105, 81 ], [ 104, 106, 56 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 109, 119 ], [ 104, 110, 0 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 113, 94 ], [ 104, 114, 112 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 117, 82 ], [ 104, 118, 38 ], [ 104, 119, 94 ], [ 105, 0, 0 ], [ 105, 1, 81 ], [ 105, 2, 0 ], [ 105, 3, 59 ], [ 105, 4, 81 ], [ 105, 5, 59 ], [ 105, 6, 0 ], [ 105, 7, 81 ], [ 105, 8, 0 ], [ 105, 9, 45 ], [ 105, 10, 81 ], [ 105, 11, 45 ], [ 105, 12, 0 ], [ 105, 13, 59 ], [ 105, 14, 0 ], [ 105, 15, 45 ], [ 105, 16, 59 ], [ 105, 17, 45 ], [ 105, 18, 81 ], [ 105, 19, 59 ], [ 105, 20, 81 ], [ 105, 21, 45 ], [ 105, 22, 59 ], [ 105, 23, 45 ], [ 105, 24, 99 ], [ 105, 25, 119 ], [ 105, 26, 99 ], [ 105, 27, 111 ], [ 105, 28, 119 ], [ 105, 29, 111 ], [ 105, 30, 99 ], [ 105, 31, 119 ], [ 105, 32, 99 ], [ 105, 33, 45 ], [ 105, 34, 119 ], [ 105, 35, 45 ], [ 105, 36, 99 ], [ 105, 37, 111 ], [ 105, 38, 99 ], [ 105, 39, 45 ], [ 105, 40, 111 ], [ 105, 41, 45 ], [ 105, 42, 119 ], [ 105, 43, 111 ], [ 105, 44, 119 ], [ 105, 45, 45 ], [ 105, 46, 111 ], [ 105, 47, 45 ], [ 105, 48, 103 ], [ 105, 49, 107 ], [ 105, 50, 103 ], [ 105, 51, 111 ], [ 105, 52, 107 ], [ 105, 53, 111 ], [ 105, 54, 103 ], [ 105, 55, 107 ], [ 105, 56, 103 ], [ 105, 57, 59 ], [ 105, 58, 107 ], [ 105, 59, 59 ], [ 105, 60, 103 ], [ 105, 61, 111 ], [ 105, 62, 103 ], [ 105, 63, 59 ], [ 105, 64, 111 ], [ 105, 65, 59 ], [ 105, 66, 107 ], [ 105, 67, 111 ], [ 105, 68, 107 ], [ 105, 69, 59 ], [ 105, 70, 111 ], [ 105, 71, 59 ], [ 105, 72, 104 ], [ 105, 73, 107 ], [ 105, 74, 104 ], [ 105, 75, 119 ], [ 105, 76, 107 ], [ 105, 77, 119 ], [ 105, 78, 104 ], [ 105, 79, 107 ], [ 105, 80, 104 ], [ 105, 81, 81 ], [ 105, 82, 107 ], [ 105, 83, 81 ], [ 105, 84, 104 ], [ 105, 85, 119 ], [ 105, 86, 104 ], [ 105, 87, 81 ], [ 105, 88, 119 ], [ 105, 89, 81 ], [ 105, 90, 107 ], [ 105, 91, 119 ], [ 105, 92, 107 ], [ 105, 93, 81 ], [ 105, 94, 119 ], [ 105, 95, 81 ], [ 105, 96, 104 ], [ 105, 97, 103 ], [ 105, 98, 104 ], [ 105, 99, 99 ], [ 105, 100, 103 ], [ 105, 101, 99 ], [ 105, 102, 104 ], [ 105, 103, 103 ], [ 105, 104, 104 ], [ 105, 105, 0 ], [ 105, 106, 103 ], [ 105, 107, 0 ], [ 105, 108, 104 ], [ 105, 109, 99 ], [ 105, 110, 104 ], [ 105, 111, 0 ], [ 105, 112, 99 ], [ 105, 113, 0 ], [ 105, 114, 103 ], [ 105, 115, 99 ], [ 105, 116, 103 ], [ 105, 117, 0 ], [ 105, 118, 99 ], [ 105, 119, 0 ], [ 106, 0, 0 ], [ 106, 1, 55 ], [ 106, 2, 78 ], [ 106, 3, 59 ], [ 106, 4, 81 ], [ 106, 5, 4 ], [ 106, 6, 8 ], [ 106, 7, 51 ], [ 106, 8, 26 ], [ 106, 9, 71 ], [ 106, 10, 33 ], [ 106, 11, 23 ], [ 106, 12, 86 ], [ 106, 13, 64 ], [ 106, 14, 38 ], [ 106, 15, 68 ], [ 106, 16, 34 ], [ 106, 17, 94 ], [ 106, 18, 73 ], [ 106, 19, 16 ], [ 106, 20, 37 ], [ 106, 21, 19 ], [ 106, 22, 29 ], [ 106, 23, 90 ], [ 106, 24, 99 ], [ 106, 25, 108 ], [ 106, 26, 115 ], [ 106, 27, 111 ], [ 106, 28, 119 ], [ 106, 29, 96 ], [ 106, 30, 51 ], [ 106, 31, 8 ], [ 106, 32, 23 ], [ 106, 33, 33 ], [ 106, 34, 71 ], [ 106, 35, 26 ], [ 106, 36, 64 ], [ 106, 37, 86 ], [ 106, 38, 94 ], [ 106, 39, 34 ], [ 106, 40, 68 ], [ 106, 41, 38 ], [ 106, 42, 16 ], [ 106, 43, 73 ], [ 106, 44, 90 ], [ 106, 45, 29 ], [ 106, 46, 19 ], [ 106, 47, 37 ], [ 106, 48, 108 ], [ 106, 49, 99 ], [ 106, 50, 96 ], [ 106, 51, 119 ], [ 106, 52, 111 ], [ 106, 53, 115 ], [ 106, 54, 55 ], [ 106, 55, 0 ], [ 106, 56, 4 ], [ 106, 57, 81 ], [ 106, 58, 59 ], [ 106, 59, 78 ], [ 106, 60, 68 ], [ 106, 61, 38 ], [ 106, 62, 34 ], [ 106, 63, 94 ], [ 106, 64, 64 ], [ 106, 65, 86 ], [ 106, 66, 19 ], [ 106, 67, 37 ], [ 106, 68, 29 ], [ 106, 69, 90 ], [ 106, 70, 16 ], [ 106, 71, 73 ], [ 106, 72, 111 ], [ 106, 73, 115 ], [ 106, 74, 119 ], [ 106, 75, 96 ], [ 106, 76, 108 ], [ 106, 77, 99 ], [ 106, 78, 59 ], [ 106, 79, 78 ], [ 106, 80, 81 ], [ 106, 81, 4 ], [ 106, 82, 55 ], [ 106, 83, 0 ], [ 106, 84, 71 ], [ 106, 85, 26 ], [ 106, 86, 33 ], [ 106, 87, 23 ], [ 106, 88, 51 ], [ 106, 89, 8 ], [ 106, 90, 90 ], [ 106, 91, 29 ], [ 106, 92, 37 ], [ 106, 93, 19 ], [ 106, 94, 73 ], [ 106, 95, 16 ], [ 106, 96, 96 ], [ 106, 97, 119 ], [ 106, 98, 115 ], [ 106, 99, 111 ], [ 106, 100, 99 ], [ 106, 101, 108 ], [ 106, 102, 4 ], [ 106, 103, 81 ], [ 106, 104, 78 ], [ 106, 105, 59 ], [ 106, 106, 0 ], [ 106, 107, 55 ], [ 106, 108, 23 ], [ 106, 109, 33 ], [ 106, 110, 26 ], [ 106, 111, 71 ], [ 106, 112, 8 ], [ 106, 113, 51 ], [ 106, 114, 94 ], [ 106, 115, 34 ], [ 106, 116, 38 ], [ 106, 117, 68 ], [ 106, 118, 86 ], [ 106, 119, 64 ], [ 107, 0, 0 ], [ 107, 1, 55 ], [ 107, 2, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 5, 82 ], [ 107, 6, 8 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 9, 46 ], [ 107, 10, 51 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 13, 77 ], [ 107, 14, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 17, 42 ], [ 107, 18, 63 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 21, 45 ], [ 107, 22, 89 ], [ 107, 23, 45 ], [ 107, 24, 99 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 27, 116 ], [ 107, 28, 108 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 31, 8 ], [ 107, 32, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 35, 46 ], [ 107, 36, 77 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 39, 42 ], [ 107, 40, 12 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 43, 63 ], [ 107, 44, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 47, 45 ], [ 107, 48, 108 ], [ 107, 49, 99 ], [ 107, 50, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 53, 116 ], [ 107, 54, 55 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 57, 82 ], [ 107, 58, 0 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 61, 12 ], [ 107, 62, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 65, 77 ], [ 107, 66, 45 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 69, 89 ], [ 107, 70, 63 ], [ 107, 71, 89 ], [ 107, 72, 116 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 75, 108 ], [ 107, 76, 99 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 79, 0 ], [ 107, 80, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 83, 55 ], [ 107, 84, 46 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 87, 51 ], [ 107, 88, 8 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 91, 89 ], [ 107, 92, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 95, 63 ], [ 107, 96, 116 ], [ 107, 97, 108 ], [ 107, 98, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 101, 99 ], [ 107, 102, 82 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 105, 0 ], [ 107, 106, 55 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 109, 51 ], [ 107, 110, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 113, 8 ], [ 107, 114, 42 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 117, 12 ], [ 107, 118, 77 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 1, 15 ], [ 108, 2, 26 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 5, 82 ], [ 108, 6, 48 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 9, 46 ], [ 108, 10, 81 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 13, 59 ], [ 108, 14, 12 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 17, 94 ], [ 108, 18, 63 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 21, 23 ], [ 108, 22, 29 ], [ 108, 23, 45 ], [ 108, 24, 29 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 27, 81 ], [ 108, 28, 12 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 31, 23 ], [ 108, 32, 82 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 35, 63 ], [ 108, 36, 46 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 39, 48 ], [ 108, 40, 15 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 43, 94 ], [ 108, 44, 26 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 47, 59 ], [ 108, 48, 45 ], [ 108, 49, 94 ], [ 108, 50, 63 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 53, 26 ], [ 108, 54, 59 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 57, 12 ], [ 108, 58, 46 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 61, 29 ], [ 108, 62, 81 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 65, 23 ], [ 108, 66, 82 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 69, 15 ], [ 108, 70, 48 ], [ 108, 71, 19 ], [ 108, 72, 23 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 75, 82 ], [ 108, 76, 48 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 79, 63 ], [ 108, 80, 94 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 83, 29 ], [ 108, 84, 15 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 87, 26 ], [ 108, 88, 59 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 91, 81 ], [ 108, 92, 12 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 95, 46 ], [ 108, 96, 19 ], [ 108, 97, 46 ], [ 108, 98, 59 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 101, 15 ], [ 108, 102, 48 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 105, 81 ], [ 108, 106, 23 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 109, 12 ], [ 108, 110, 29 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 113, 94 ], [ 108, 114, 26 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 117, 82 ], [ 108, 118, 63 ], [ 108, 119, 93 ], [ 109, 0, 0 ], [ 109, 1, 15 ], [ 109, 2, 78 ], [ 109, 3, 77 ], [ 109, 4, 37 ], [ 109, 5, 29 ], [ 109, 6, 48 ], [ 109, 7, 51 ], [ 109, 8, 86 ], [ 109, 9, 94 ], [ 109, 10, 33 ], [ 109, 11, 45 ], [ 109, 12, 60 ], [ 109, 13, 64 ], [ 109, 14, 8 ], [ 109, 15, 23 ], [ 109, 16, 34 ], [ 109, 17, 42 ], [ 109, 18, 55 ], [ 109, 19, 59 ], [ 109, 20, 7 ], [ 109, 21, 19 ], [ 109, 22, 89 ], [ 109, 23, 90 ], [ 109, 24, 29 ], [ 109, 25, 77 ], [ 109, 26, 37 ], [ 109, 27, 15 ], [ 109, 28, 78 ], [ 109, 29, 0 ], [ 109, 30, 19 ], [ 109, 31, 23 ], [ 109, 32, 116 ], [ 109, 33, 64 ], [ 109, 34, 107 ], [ 109, 35, 59 ], [ 109, 36, 90 ], [ 109, 37, 94 ], [ 109, 38, 100 ], [ 109, 39, 51 ], [ 109, 40, 104 ], [ 109, 41, 55 ], [ 109, 42, 42 ], [ 109, 43, 45 ], [ 109, 44, 96 ], [ 109, 45, 48 ], [ 109, 46, 119 ], [ 109, 47, 60 ], [ 109, 48, 45 ], [ 109, 49, 94 ], [ 109, 50, 33 ], [ 109, 51, 51 ], [ 109, 52, 86 ], [ 109, 53, 48 ], [ 109, 54, 59 ], [ 109, 55, 64 ], [ 109, 56, 107 ], [ 109, 57, 23 ], [ 109, 58, 116 ], [ 109, 59, 19 ], [ 109, 60, 89 ], [ 109, 61, 77 ], [ 109, 62, 119 ], [ 109, 63, 15 ], [ 109, 64, 96 ], [ 109, 65, 7 ], [ 109, 66, 34 ], [ 109, 67, 29 ], [ 109, 68, 104 ], [ 109, 69, 0 ], [ 109, 70, 100 ], [ 109, 71, 8 ], [ 109, 72, 42 ], [ 109, 73, 23 ], [ 109, 74, 34 ], [ 109, 75, 64 ], [ 109, 76, 8 ], [ 109, 77, 60 ], [ 109, 78, 55 ], [ 109, 79, 51 ], [ 109, 80, 104 ], [ 109, 81, 94 ], [ 109, 82, 100 ], [ 109, 83, 90 ], [ 109, 84, 7 ], [ 109, 85, 15 ], [ 109, 86, 96 ], [ 109, 87, 77 ], [ 109, 88, 119 ], [ 109, 89, 89 ], [ 109, 90, 33 ], [ 109, 91, 37 ], [ 109, 92, 107 ], [ 109, 93, 78 ], [ 109, 94, 116 ], [ 109, 95, 86 ], [ 109, 96, 90 ], [ 109, 97, 19 ], [ 109, 98, 89 ], [ 109, 99, 59 ], [ 109, 100, 7 ], [ 109, 101, 55 ], [ 109, 102, 60 ], [ 109, 103, 48 ], [ 109, 104, 119 ], [ 109, 105, 45 ], [ 109, 106, 96 ], [ 109, 107, 42 ], [ 109, 108, 8 ], [ 109, 109, 0 ], [ 109, 110, 100 ], [ 109, 111, 29 ], [ 109, 112, 104 ], [ 109, 113, 34 ], [ 109, 114, 86 ], [ 109, 115, 78 ], [ 109, 116, 116 ], [ 109, 117, 37 ], [ 109, 118, 107 ], [ 109, 119, 33 ], [ 110, 0, 0 ], [ 110, 1, 81 ], [ 110, 2, 26 ], [ 110, 3, 77 ], [ 110, 4, 37 ], [ 110, 5, 16 ], [ 110, 6, 0 ], [ 110, 7, 81 ], [ 110, 8, 60 ], [ 110, 9, 90 ], [ 110, 10, 51 ], [ 110, 11, 23 ], [ 110, 12, 26 ], [ 110, 13, 77 ], [ 110, 14, 60 ], [ 110, 15, 90 ], [ 110, 16, 59 ], [ 110, 17, 45 ], [ 110, 18, 37 ], [ 110, 19, 16 ], [ 110, 20, 51 ], [ 110, 21, 23 ], [ 110, 22, 59 ], [ 110, 23, 45 ], [ 110, 24, 29 ], [ 110, 25, 41 ], [ 110, 26, 3 ], [ 110, 27, 15 ], [ 110, 28, 78 ], [ 110, 29, 74 ], [ 110, 30, 29 ], [ 110, 31, 41 ], [ 110, 32, 90 ], [ 110, 33, 60 ], [ 110, 34, 23 ], [ 110, 35, 51 ], [ 110, 36, 3 ], [ 110, 37, 15 ], [ 110, 38, 90 ], [ 110, 39, 60 ], [ 110, 40, 45 ], [ 110, 41, 59 ], [ 110, 42, 78 ], [ 110, 43, 74 ], [ 110, 44, 23 ], [ 110, 45, 51 ], [ 110, 46, 45 ], [ 110, 47, 59 ], [ 110, 48, 67 ], [ 110, 49, 71 ], [ 110, 50, 15 ], [ 110, 51, 3 ], [ 110, 52, 74 ], [ 110, 53, 78 ], [ 110, 54, 67 ], [ 110, 55, 71 ], [ 110, 56, 77 ], [ 110, 57, 26 ], [ 110, 58, 16 ], [ 110, 59, 37 ], [ 110, 60, 15 ], [ 110, 61, 3 ], [ 110, 62, 77 ], [ 110, 63, 26 ], [ 110, 64, 59 ], [ 110, 65, 45 ], [ 110, 66, 74 ], [ 110, 67, 78 ], [ 110, 68, 16 ], [ 110, 69, 37 ], [ 110, 70, 59 ], [ 110, 71, 45 ], [ 110, 72, 71 ], [ 110, 73, 67 ], [ 110, 74, 41 ], [ 110, 75, 29 ], [ 110, 76, 78 ], [ 110, 77, 74 ], [ 110, 78, 71 ], [ 110, 79, 67 ], [ 110, 80, 81 ], [ 110, 81, 0 ], [ 110, 82, 37 ], [ 110, 83, 16 ], [ 110, 84, 41 ], [ 110, 85, 29 ], [ 110, 86, 81 ], [ 110, 87, 0 ], [ 110, 88, 51 ], [ 110, 89, 23 ], [ 110, 90, 78 ], [ 110, 91, 74 ], [ 110, 92, 37 ], [ 110, 93, 16 ], [ 110, 94, 51 ], [ 110, 95, 23 ], [ 110, 96, 67 ], [ 110, 97, 71 ], [ 110, 98, 29 ], [ 110, 99, 41 ], [ 110, 100, 3 ], [ 110, 101, 15 ], [ 110, 102, 67 ], [ 110, 103, 71 ], [ 110, 104, 0 ], [ 110, 105, 81 ], [ 110, 106, 26 ], [ 110, 107, 77 ], [ 110, 108, 29 ], [ 110, 109, 41 ], [ 110, 110, 0 ], [ 110, 111, 81 ], [ 110, 112, 60 ], [ 110, 113, 90 ], [ 110, 114, 3 ], [ 110, 115, 15 ], [ 110, 116, 26 ], [ 110, 117, 77 ], [ 110, 118, 60 ], [ 110, 119, 90 ], [ 111, 0, 0 ], [ 111, 1, 81 ], [ 111, 2, 12 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 5, 29 ], [ 111, 6, 0 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 9, 71 ], [ 111, 10, 85 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 13, 41 ], [ 111, 14, 8 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 17, 68 ], [ 111, 18, 73 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 21, 67 ], [ 111, 22, 34 ], [ 111, 23, 68 ], [ 111, 24, 29 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 27, 81 ], [ 111, 28, 12 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 31, 41 ], [ 111, 32, 100 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 35, 67 ], [ 111, 36, 73 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 39, 71 ], [ 111, 40, 104 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 43, 0 ], [ 111, 44, 115 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 47, 68 ], [ 111, 48, 67 ], [ 111, 49, 71 ], [ 111, 50, 85 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 53, 0 ], [ 111, 54, 67 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 57, 41 ], [ 111, 58, 100 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 61, 81 ], [ 111, 62, 115 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 65, 34 ], [ 111, 66, 8 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 69, 29 ], [ 111, 70, 104 ], [ 111, 71, 34 ], [ 111, 72, 68 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 75, 41 ], [ 111, 76, 8 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 79, 71 ], [ 111, 80, 104 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 83, 73 ], [ 111, 84, 34 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 87, 81 ], [ 111, 88, 115 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 91, 12 ], [ 111, 92, 100 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 95, 85 ], [ 111, 96, 68 ], [ 111, 97, 67 ], [ 111, 98, 34 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 101, 73 ], [ 111, 102, 68 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 105, 0 ], [ 111, 106, 115 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 109, 29 ], [ 111, 110, 104 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 113, 8 ], [ 111, 114, 85 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 117, 12 ], [ 111, 118, 100 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 1, 25 ], [ 112, 2, 78 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 5, 16 ], [ 112, 6, 12 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 9, 45 ], [ 112, 10, 55 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 13, 29 ], [ 112, 14, 60 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 17, 93 ], [ 112, 18, 81 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 21, 19 ], [ 112, 22, 52 ], [ 112, 23, 90 ], [ 112, 24, 29 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 27, 81 ], [ 112, 28, 12 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 31, 78 ], [ 112, 32, 19 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 35, 52 ], [ 112, 36, 16 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 39, 55 ], [ 112, 40, 45 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 43, 25 ], [ 112, 44, 93 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 47, 60 ], [ 112, 48, 42 ], [ 112, 49, 19 ], [ 112, 50, 25 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 53, 60 ], [ 112, 54, 55 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 57, 93 ], [ 112, 58, 29 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 61, 12 ], [ 112, 62, 52 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 65, 81 ], [ 112, 66, 45 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 69, 78 ], [ 112, 70, 16 ], [ 112, 71, 74 ], [ 112, 72, 45 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 75, 52 ], [ 112, 76, 78 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 79, 60 ], [ 112, 80, 81 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 83, 19 ], [ 112, 84, 93 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 87, 16 ], [ 112, 88, 25 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 91, 29 ], [ 112, 92, 55 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 95, 12 ], [ 112, 96, 20 ], [ 112, 97, 93 ], [ 112, 98, 16 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 101, 55 ], [ 112, 102, 52 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 105, 45 ], [ 112, 106, 12 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 109, 81 ], [ 112, 110, 60 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 113, 29 ], [ 112, 114, 19 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 117, 25 ], [ 112, 118, 78 ], [ 112, 119, 37 ], [ 113, 0, 0 ], [ 113, 1, 25 ], [ 113, 2, 12 ], [ 113, 3, 77 ], [ 113, 4, 37 ], [ 113, 5, 82 ], [ 113, 6, 12 ], [ 113, 7, 37 ], [ 113, 8, 0 ], [ 113, 9, 67 ], [ 113, 10, 25 ], [ 113, 11, 68 ], [ 113, 12, 0 ], [ 113, 13, 82 ], [ 113, 14, 12 ], [ 113, 15, 68 ], [ 113, 16, 77 ], [ 113, 17, 67 ], [ 113, 18, 25 ], [ 113, 19, 77 ], [ 113, 20, 37 ], [ 113, 21, 67 ], [ 113, 22, 82 ], [ 113, 23, 68 ], [ 113, 24, 29 ], [ 113, 25, 4 ], [ 113, 26, 73 ], [ 113, 27, 15 ], [ 113, 28, 78 ], [ 113, 29, 38 ], [ 113, 30, 73 ], [ 113, 31, 78 ], [ 113, 32, 29 ], [ 113, 33, 67 ], [ 113, 34, 4 ], [ 113, 35, 68 ], [ 113, 36, 29 ], [ 113, 37, 38 ], [ 113, 38, 73 ], [ 113, 39, 68 ], [ 113, 40, 15 ], [ 113, 41, 67 ], [ 113, 42, 4 ], [ 113, 43, 15 ], [ 113, 44, 78 ], [ 113, 45, 67 ], [ 113, 46, 38 ], [ 113, 47, 68 ], [ 113, 48, 42 ], [ 113, 49, 19 ], [ 113, 50, 55 ], [ 113, 51, 15 ], [ 113, 52, 48 ], [ 113, 53, 38 ], [ 113, 54, 55 ], [ 113, 55, 48 ], [ 113, 56, 42 ], [ 113, 57, 77 ], [ 113, 58, 19 ], [ 113, 59, 82 ], [ 113, 60, 42 ], [ 113, 61, 38 ], [ 113, 62, 55 ], [ 113, 63, 82 ], [ 113, 64, 15 ], [ 113, 65, 77 ], [ 113, 66, 19 ], [ 113, 67, 15 ], [ 113, 68, 48 ], [ 113, 69, 77 ], [ 113, 70, 38 ], [ 113, 71, 82 ], [ 113, 72, 94 ], [ 113, 73, 19 ], [ 113, 74, 64 ], [ 113, 75, 4 ], [ 113, 76, 48 ], [ 113, 77, 78 ], [ 113, 78, 64 ], [ 113, 79, 48 ], [ 113, 80, 94 ], [ 113, 81, 25 ], [ 113, 82, 19 ], [ 113, 83, 37 ], [ 113, 84, 94 ], [ 113, 85, 78 ], [ 113, 86, 64 ], [ 113, 87, 37 ], [ 113, 88, 4 ], [ 113, 89, 25 ], [ 113, 90, 19 ], [ 113, 91, 4 ], [ 113, 92, 48 ], [ 113, 93, 25 ], [ 113, 94, 78 ], [ 113, 95, 37 ], [ 113, 96, 94 ], [ 113, 97, 42 ], [ 113, 98, 64 ], [ 113, 99, 29 ], [ 113, 100, 55 ], [ 113, 101, 73 ], [ 113, 102, 64 ], [ 113, 103, 55 ], [ 113, 104, 94 ], [ 113, 105, 0 ], [ 113, 106, 42 ], [ 113, 107, 12 ], [ 113, 108, 94 ], [ 113, 109, 73 ], [ 113, 110, 64 ], [ 113, 111, 12 ], [ 113, 112, 29 ], [ 113, 113, 0 ], [ 113, 114, 42 ], [ 113, 115, 29 ], [ 113, 116, 55 ], [ 113, 117, 0 ], [ 113, 118, 73 ], [ 113, 119, 12 ], [ 114, 0, 0 ], [ 114, 1, 7 ], [ 114, 2, 26 ], [ 114, 3, 34 ], [ 114, 4, 51 ], [ 114, 5, 59 ], [ 114, 6, 86 ], [ 114, 7, 81 ], [ 114, 8, 26 ], [ 114, 9, 45 ], [ 114, 10, 51 ], [ 114, 11, 68 ], [ 114, 12, 86 ], [ 114, 13, 77 ], [ 114, 14, 0 ], [ 114, 15, 23 ], [ 114, 16, 59 ], [ 114, 17, 68 ], [ 114, 18, 81 ], [ 114, 19, 77 ], [ 114, 20, 7 ], [ 114, 21, 23 ], [ 114, 22, 34 ], [ 114, 23, 45 ], [ 114, 24, 25 ], [ 114, 25, 48 ], [ 114, 26, 4 ], [ 114, 27, 56 ], [ 114, 28, 11 ], [ 114, 29, 33 ], [ 114, 30, 68 ], [ 114, 31, 45 ], [ 114, 32, 4 ], [ 114, 33, 81 ], [ 114, 34, 11 ], [ 114, 35, 86 ], [ 114, 36, 68 ], [ 114, 37, 23 ], [ 114, 38, 25 ], [ 114, 39, 77 ], [ 114, 40, 33 ], [ 114, 41, 86 ], [ 114, 42, 45 ], [ 114, 43, 23 ], [ 114, 44, 48 ], [ 114, 45, 77 ], [ 114, 46, 56 ], [ 114, 47, 81 ], [ 114, 48, 33 ], [ 114, 49, 56 ], [ 114, 50, 93 ], [ 114, 51, 48 ], [ 114, 52, 94 ], [ 114, 53, 25 ], [ 114, 54, 59 ], [ 114, 55, 34 ], [ 114, 56, 93 ], [ 114, 57, 7 ], [ 114, 58, 94 ], [ 114, 59, 0 ], [ 114, 60, 59 ], [ 114, 61, 77 ], [ 114, 62, 33 ], [ 114, 63, 23 ], [ 114, 64, 25 ], [ 114, 65, 0 ], [ 114, 66, 34 ], [ 114, 67, 77 ], [ 114, 68, 56 ], [ 114, 69, 23 ], [ 114, 70, 48 ], [ 114, 71, 7 ], [ 114, 72, 11 ], [ 114, 73, 48 ], [ 114, 74, 94 ], [ 114, 75, 56 ], [ 114, 76, 93 ], [ 114, 77, 4 ], [ 114, 78, 51 ], [ 114, 79, 7 ], [ 114, 80, 94 ], [ 114, 81, 34 ], [ 114, 82, 93 ], [ 114, 83, 26 ], [ 114, 84, 51 ], [ 114, 85, 81 ], [ 114, 86, 11 ], [ 114, 87, 45 ], [ 114, 88, 4 ], [ 114, 89, 26 ], [ 114, 90, 7 ], [ 114, 91, 81 ], [ 114, 92, 48 ], [ 114, 93, 45 ], [ 114, 94, 56 ], [ 114, 95, 34 ], [ 114, 96, 4 ], [ 114, 97, 25 ], [ 114, 98, 93 ], [ 114, 99, 33 ], [ 114, 100, 94 ], [ 114, 101, 11 ], [ 114, 102, 26 ], [ 114, 103, 0 ], [ 114, 104, 93 ], [ 114, 105, 59 ], [ 114, 106, 94 ], [ 114, 107, 51 ], [ 114, 108, 26 ], [ 114, 109, 86 ], [ 114, 110, 4 ], [ 114, 111, 68 ], [ 114, 112, 11 ], [ 114, 113, 51 ], [ 114, 114, 0 ], [ 114, 115, 86 ], [ 114, 116, 25 ], [ 114, 117, 68 ], [ 114, 118, 33 ], [ 114, 119, 59 ], [ 115, 0, 0 ], [ 115, 1, 7 ], [ 115, 2, 56 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 5, 29 ], [ 115, 6, 86 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 9, 71 ], [ 115, 10, 25 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 13, 82 ], [ 115, 14, 8 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 17, 45 ], [ 115, 18, 73 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 21, 20 ], [ 115, 22, 59 ], [ 115, 23, 68 ], [ 115, 24, 25 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 27, 8 ], [ 115, 28, 59 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 31, 45 ], [ 115, 32, 7 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 35, 82 ], [ 115, 36, 20 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 39, 73 ], [ 115, 40, 56 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 43, 71 ], [ 115, 44, 29 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 47, 86 ], [ 115, 48, 33 ], [ 115, 49, 56 ], [ 115, 50, 45 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 53, 73 ], [ 115, 54, 59 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 57, 20 ], [ 115, 58, 86 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 61, 29 ], [ 115, 62, 71 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 65, 7 ], [ 115, 66, 82 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 69, 8 ], [ 115, 70, 25 ], [ 115, 71, 0 ], [ 115, 72, 29 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 75, 86 ], [ 115, 76, 20 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 79, 25 ], [ 115, 80, 82 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 83, 71 ], [ 115, 84, 73 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 87, 59 ], [ 115, 88, 8 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 91, 7 ], [ 115, 92, 45 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 95, 56 ], [ 115, 96, 52 ], [ 115, 97, 7 ], [ 115, 98, 71 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 101, 82 ], [ 115, 102, 8 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 105, 45 ], [ 115, 106, 73 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 109, 56 ], [ 115, 110, 20 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 113, 29 ], [ 115, 114, 86 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 117, 25 ], [ 115, 118, 59 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 1, 55 ], [ 116, 2, 26 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 5, 11 ], [ 116, 6, 8 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 9, 67 ], [ 116, 10, 81 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 13, 59 ], [ 116, 14, 74 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 17, 42 ], [ 116, 18, 25 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 21, 23 ], [ 116, 22, 89 ], [ 116, 23, 45 ], [ 116, 24, 25 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 27, 8 ], [ 116, 28, 59 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 31, 11 ], [ 116, 32, 42 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 35, 74 ], [ 116, 36, 55 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 39, 89 ], [ 116, 40, 23 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 43, 26 ], [ 116, 44, 67 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 47, 81 ], [ 116, 48, 85 ], [ 116, 49, 74 ], [ 116, 50, 23 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 53, 55 ], [ 116, 54, 67 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 57, 25 ], [ 116, 58, 89 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 61, 81 ], [ 116, 62, 11 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 65, 26 ], [ 116, 66, 8 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 69, 42 ], [ 116, 70, 59 ], [ 116, 71, 33 ], [ 116, 72, 89 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 75, 26 ], [ 116, 76, 67 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 79, 42 ], [ 116, 80, 81 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 83, 8 ], [ 116, 84, 59 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 87, 23 ], [ 116, 88, 25 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 91, 74 ], [ 116, 92, 55 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 95, 11 ], [ 116, 96, 77 ], [ 116, 97, 81 ], [ 116, 98, 42 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 101, 11 ], [ 116, 102, 23 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 105, 59 ], [ 116, 106, 74 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 109, 89 ], [ 116, 110, 26 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 113, 55 ], [ 116, 114, 25 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 117, 67 ], [ 116, 118, 8 ], [ 116, 119, 52 ], [ 117, 0, 0 ], [ 117, 1, 55 ], [ 117, 2, 8 ], [ 117, 3, 34 ], [ 117, 4, 51 ], [ 117, 5, 29 ], [ 117, 6, 8 ], [ 117, 7, 51 ], [ 117, 8, 0 ], [ 117, 9, 94 ], [ 117, 10, 55 ], [ 117, 11, 90 ], [ 117, 12, 0 ], [ 117, 13, 29 ], [ 117, 14, 8 ], [ 117, 15, 90 ], [ 117, 16, 34 ], [ 117, 17, 94 ], [ 117, 18, 55 ], [ 117, 19, 34 ], [ 117, 20, 51 ], [ 117, 21, 94 ], [ 117, 22, 29 ], [ 117, 23, 90 ], [ 117, 24, 25 ], [ 117, 25, 30 ], [ 117, 26, 52 ], [ 117, 27, 56 ], [ 117, 28, 11 ], [ 117, 29, 3 ], [ 117, 30, 52 ], [ 117, 31, 11 ], [ 117, 32, 25 ], [ 117, 33, 94 ], [ 117, 34, 30 ], [ 117, 35, 90 ], [ 117, 36, 25 ], [ 117, 37, 3 ], [ 117, 38, 52 ], [ 117, 39, 90 ], [ 117, 40, 56 ], [ 117, 41, 94 ], [ 117, 42, 30 ], [ 117, 43, 56 ], [ 117, 44, 11 ], [ 117, 45, 94 ], [ 117, 46, 3 ], [ 117, 47, 90 ], [ 117, 48, 85 ], [ 117, 49, 74 ], [ 117, 50, 67 ], [ 117, 51, 56 ], [ 117, 52, 20 ], [ 117, 53, 3 ], [ 117, 54, 67 ], [ 117, 55, 20 ], [ 117, 56, 85 ], [ 117, 57, 34 ], [ 117, 58, 74 ], [ 117, 59, 29 ], [ 117, 60, 85 ], [ 117, 61, 3 ], [ 117, 62, 67 ], [ 117, 63, 29 ], [ 117, 64, 56 ], [ 117, 65, 34 ], [ 117, 66, 74 ], [ 117, 67, 56 ], [ 117, 68, 20 ], [ 117, 69, 34 ], [ 117, 70, 3 ], [ 117, 71, 29 ], [ 117, 72, 82 ], [ 117, 73, 74 ], [ 117, 74, 46 ], [ 117, 75, 30 ], [ 117, 76, 20 ], [ 117, 77, 11 ], [ 117, 78, 46 ], [ 117, 79, 20 ], [ 117, 80, 82 ], [ 117, 81, 55 ], [ 117, 82, 74 ], [ 117, 83, 51 ], [ 117, 84, 82 ], [ 117, 85, 11 ], [ 117, 86, 46 ], [ 117, 87, 51 ], [ 117, 88, 30 ], [ 117, 89, 55 ], [ 117, 90, 74 ], [ 117, 91, 30 ], [ 117, 92, 20 ], [ 117, 93, 55 ], [ 117, 94, 11 ], [ 117, 95, 51 ], [ 117, 96, 82 ], [ 117, 97, 85 ], [ 117, 98, 46 ], [ 117, 99, 25 ], [ 117, 100, 67 ], [ 117, 101, 52 ], [ 117, 102, 46 ], [ 117, 103, 67 ], [ 117, 104, 82 ], [ 117, 105, 0 ], [ 117, 106, 85 ], [ 117, 107, 8 ], [ 117, 108, 82 ], [ 117, 109, 52 ], [ 117, 110, 46 ], [ 117, 111, 8 ], [ 117, 112, 25 ], [ 117, 113, 0 ], [ 117, 114, 85 ], [ 117, 115, 25 ], [ 117, 116, 67 ], [ 117, 117, 0 ], [ 117, 118, 52 ], [ 117, 119, 8 ], [ 118, 0, 0 ], [ 118, 1, 25 ], [ 118, 2, 56 ], [ 118, 3, 34 ], [ 118, 4, 51 ], [ 118, 5, 11 ], [ 118, 6, 12 ], [ 118, 7, 37 ], [ 118, 8, 86 ], [ 118, 9, 46 ], [ 118, 10, 85 ], [ 118, 11, 23 ], [ 118, 12, 60 ], [ 118, 13, 41 ], [ 118, 14, 74 ], [ 118, 15, 45 ], [ 118, 16, 77 ], [ 118, 17, 67 ], [ 118, 18, 63 ], [ 118, 19, 16 ], [ 118, 20, 81 ], [ 118, 21, 20 ], [ 118, 22, 82 ], [ 118, 23, 68 ], [ 118, 24, 25 ], [ 118, 25, 0 ], [ 118, 26, 34 ], [ 118, 27, 56 ], [ 118, 28, 11 ], [ 118, 29, 51 ], [ 118, 30, 96 ], [ 118, 31, 103 ], [ 118, 32, 68 ], [ 118, 33, 82 ], [ 118, 34, 67 ], [ 118, 35, 77 ], [ 118, 36, 108 ], [ 118, 37, 107 ], [ 118, 38, 20 ], [ 118, 39, 81 ], [ 118, 40, 23 ], [ 118, 41, 85 ], [ 118, 42, 111 ], [ 118, 43, 100 ], [ 118, 44, 45 ], [ 118, 45, 74 ], [ 118, 46, 46 ], [ 118, 47, 86 ], [ 118, 48, 37 ], [ 118, 49, 12 ], [ 118, 50, 46 ], [ 118, 51, 86 ], [ 118, 52, 23 ], [ 118, 53, 85 ], [ 118, 54, 103 ], [ 118, 55, 96 ], [ 118, 56, 82 ], [ 118, 57, 68 ], [ 118, 58, 77 ], [ 118, 59, 67 ], [ 118, 60, 100 ], [ 118, 61, 111 ], [ 118, 62, 16 ], [ 118, 63, 63 ], [ 118, 64, 11 ], [ 118, 65, 51 ], [ 118, 66, 107 ], [ 118, 67, 108 ], [ 118, 68, 41 ], [ 118, 69, 60 ], [ 118, 70, 34 ], [ 118, 71, 56 ], [ 118, 72, 41 ], [ 118, 73, 60 ], [ 118, 74, 45 ], [ 118, 75, 74 ], [ 118, 76, 67 ], [ 118, 77, 77 ], [ 118, 78, 107 ], [ 118, 79, 108 ], [ 118, 80, 81 ], [ 118, 81, 20 ], [ 118, 82, 85 ], [ 118, 83, 23 ], [ 118, 84, 111 ], [ 118, 85, 100 ], [ 118, 86, 63 ], [ 118, 87, 16 ], [ 118, 88, 51 ], [ 118, 89, 11 ], [ 118, 90, 103 ], [ 118, 91, 96 ], [ 118, 92, 37 ], [ 118, 93, 12 ], [ 118, 94, 25 ], [ 118, 95, 0 ], [ 118, 96, 16 ], [ 118, 97, 63 ], [ 118, 98, 20 ], [ 118, 99, 81 ], [ 118, 100, 68 ], [ 118, 101, 82 ], [ 118, 102, 100 ], [ 118, 103, 111 ], [ 118, 104, 74 ], [ 118, 105, 45 ], [ 118, 106, 86 ], [ 118, 107, 46 ], [ 118, 108, 108 ], [ 118, 109, 107 ], [ 118, 110, 60 ], [ 118, 111, 41 ], [ 118, 112, 56 ], [ 118, 113, 34 ], [ 118, 114, 96 ], [ 118, 115, 103 ], [ 118, 116, 12 ], [ 118, 117, 37 ], [ 118, 118, 0 ], [ 118, 119, 25 ], [ 119, 0, 0 ], [ 119, 1, 25 ], [ 119, 2, 8 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 5, 59 ], [ 119, 6, 12 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 9, 90 ], [ 119, 10, 33 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 13, 64 ], [ 119, 14, 0 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 17, 93 ], [ 119, 18, 37 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 21, 94 ], [ 119, 22, 52 ], [ 119, 23, 90 ], [ 119, 24, 25 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 27, 8 ], [ 119, 28, 59 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 31, 103 ], [ 119, 32, 52 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 35, 93 ], [ 119, 36, 96 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 39, 94 ], [ 119, 40, 33 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 43, 112 ], [ 119, 44, 0 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 47, 90 ], [ 119, 48, 37 ], [ 119, 49, 12 ], [ 119, 50, 90 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 53, 33 ], [ 119, 54, 103 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 57, 52 ], [ 119, 58, 93 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 61, 112 ], [ 119, 62, 37 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 65, 59 ], [ 119, 66, 96 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 69, 64 ], [ 119, 70, 8 ], [ 119, 71, 52 ], [ 119, 72, 64 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 75, 0 ], [ 119, 76, 93 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 79, 96 ], [ 119, 80, 94 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 83, 33 ], [ 119, 84, 112 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 87, 37 ], [ 119, 88, 59 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 91, 103 ], [ 119, 92, 12 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 95, 25 ], [ 119, 96, 64 ], [ 119, 97, 37 ], [ 119, 98, 94 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 101, 52 ], [ 119, 102, 112 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 105, 0 ], [ 119, 106, 90 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 109, 96 ], [ 119, 110, 64 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 113, 8 ], [ 119, 114, 103 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 117, 12 ], [ 119, 118, 25 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } }, { "elements": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 23, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 48, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 71, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 96, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 119, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 23, 16 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 48, 8 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 71, 46 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 96, 19 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 23, 7 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 48, 11 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 71, 52 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 96, 20 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 119, 96 ], [ 7, 0, 0 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 23, 0 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 48, 48 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 71, 48 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 96, 52 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 23, 7 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 48, 26 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 71, 3 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 96, 74 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 119, 12 ], [ 11, 0, 0 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 23, 16 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 48, 29 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 71, 89 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 96, 77 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 23, 16 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 48, 86 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 71, 19 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 96, 78 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 119, 8 ], [ 15, 0, 0 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 23, 7 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 48, 38 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 71, 81 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 96, 115 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 23, 0 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 48, 34 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 71, 34 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 96, 103 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 119, 103 ], [ 19, 0, 0 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 23, 7 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 48, 111 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 71, 68 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 96, 116 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 23, 16 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 48, 45 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 71, 74 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 96, 68 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 119, 25 ], [ 23, 0, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 23, 0 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 48, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 71, 33 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 96, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 119, 64 ], [ 25, 0, 0 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 23, 85 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 48, 48 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 71, 3 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 96, 77 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 23, 99 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 48, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 71, 34 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 96, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 119, 37 ], [ 29, 0, 0 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 23, 64 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 48, 111 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 71, 74 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 96, 64 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 23, 85 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 48, 0 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 71, 33 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 96, 103 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 119, 33 ], [ 33, 0, 0 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 23, 64 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 48, 78 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 71, 68 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 96, 0 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 23, 99 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 48, 103 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 71, 0 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 96, 78 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 119, 103 ], [ 37, 0, 0 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 23, 99 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 48, 8 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 71, 89 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 96, 68 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 23, 64 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 48, 60 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 71, 46 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 96, 116 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 119, 25 ], [ 41, 0, 0 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 23, 85 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 48, 108 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 71, 48 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 96, 19 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 23, 64 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 48, 11 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 71, 81 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 96, 74 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 119, 59 ], [ 45, 0, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 23, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 48, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 71, 19 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 96, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 23, 85 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 48, 85 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 71, 52 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 96, 52 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 119, 12 ], [ 48, 0, 0 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 23, 96 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 48, 0 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 71, 52 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 96, 19 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 119, 52 ], [ 51, 0, 0 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 23, 41 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 48, 38 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 71, 19 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 96, 103 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 23, 78 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 48, 45 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 71, 33 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 96, 116 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 119, 112 ], [ 55, 0, 0 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 23, 96 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 48, 48 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 71, 34 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 96, 64 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 23, 78 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 48, 60 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 71, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 96, 68 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 119, 64 ], [ 59, 0, 0 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 23, 41 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 48, 67 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 71, 81 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 96, 52 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 23, 41 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 48, 26 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 71, 68 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 96, 20 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 119, 59 ], [ 63, 0, 0 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 23, 78 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 48, 78 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 71, 74 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 96, 74 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 23, 96 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 48, 42 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 71, 3 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 96, 0 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 119, 96 ], [ 67, 0, 0 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 23, 78 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 48, 29 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 71, 46 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 96, 78 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 23, 41 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 48, 103 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 71, 89 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 96, 115 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 119, 8 ], [ 71, 0, 0 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 23, 96 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 48, 37 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 71, 0 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 96, 77 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 119, 37 ], [ 73, 0, 0 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 23, 56 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 48, 8 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 71, 0 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 96, 20 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 23, 100 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 48, 26 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 71, 89 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 96, 52 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 119, 94 ], [ 77, 0, 0 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 23, 33 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 48, 33 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 71, 68 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 96, 68 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 23, 56 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 48, 86 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 71, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 96, 77 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 119, 93 ], [ 81, 0, 0 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 23, 33 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 48, 78 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 71, 33 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 96, 78 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 23, 100 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 48, 85 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 71, 19 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 96, 74 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 119, 112 ], [ 85, 0, 0 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 23, 100 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 48, 38 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 71, 52 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 96, 116 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 23, 33 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 48, 60 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 71, 81 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 96, 64 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 119, 90 ], [ 89, 0, 0 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 23, 56 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 48, 37 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 71, 46 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 96, 115 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 23, 33 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 48, 34 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 71, 48 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 96, 0 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 119, 33 ], [ 93, 0, 0 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 23, 100 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 48, 108 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 71, 3 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 96, 103 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 23, 56 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 48, 42 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 71, 34 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 96, 19 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 119, 0 ], [ 96, 0, 0 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 23, 90 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 48, 11 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 71, 46 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 96, 0 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 119, 90 ], [ 99, 0, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 23, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 48, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 71, 48 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 96, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 23, 68 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 48, 34 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 71, 81 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 96, 78 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 119, 64 ], [ 103, 0, 0 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 23, 90 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 48, 111 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 71, 3 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 96, 115 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 23, 68 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 48, 103 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 71, 68 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 96, 103 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 119, 94 ], [ 107, 0, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 23, 45 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 48, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 71, 89 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 96, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 23, 45 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 48, 45 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 71, 19 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 96, 19 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 119, 93 ], [ 111, 0, 0 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 23, 68 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 48, 67 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 71, 34 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 96, 68 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 23, 90 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 48, 42 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 71, 74 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 96, 20 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 119, 37 ], [ 115, 0, 0 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 23, 68 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 48, 33 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 71, 0 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 96, 52 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 23, 45 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 48, 85 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 71, 33 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 96, 77 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 119, 52 ], [ 119, 0, 0 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 23, 90 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 48, 37 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 71, 52 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 96, 64 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } } ], "solvable": false, "affine": false } ] }, "nonsolvable": { "version": 160, "parameters": { "coefficients": "3,-6,0,0,0,1", "prime": "2", "evidencePrimes": "2,3,5,7,11", "useReal": "yes", "useDiscriminant": "yes", "useConstruction": "yes", "bits": "8" }, "polynomial": { "coefficients": [ 3, -6, 0, 0, 0, 1 ], "degree": 5, "rational": { "bound": 7, "factors": [ [ "3", "-6", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "irreducible": true, "searches": [ { "polynomial": [ "3", "-6", "0", "0", "0", "1" ], "bound": 7, "linearTrials": [ { "root": "-7", "value": "-16762" }, { "root": "-6", "value": "-7737" }, { "root": "-5", "value": "-3092" }, { "root": "-4", "value": "-997" }, { "root": "-3", "value": "-222" }, { "root": "-2", "value": "-17" }, { "root": "-1", "value": "8" }, { "root": "0", "value": "3" }, { "root": "1", "value": "-2" }, { "root": "2", "value": "23" }, { "root": "3", "value": "228" }, { "root": "4", "value": "1003" }, { "root": "5", "value": "3098" }, { "root": "6", "value": "7743" }, { "root": "7", "value": "16768" } ], "quadraticTrials": [ { "linearCoefficient": -14, "constant": "-1", "remainder": [ "2775", "38999" ] }, { "linearCoefficient": -14, "constant": "1", "remainder": [ "-2713", "37823" ] }, { "linearCoefficient": -14, "constant": "-3", "remainder": [ "8487", "40183" ] }, { "linearCoefficient": -14, "constant": "3", "remainder": [ "-7977", "36655" ] }, { "linearCoefficient": -13, "constant": "-1", "remainder": [ "2226", "29063" ] }, { "linearCoefficient": -13, "constant": "1", "remainder": [ "-2168", "28049" ] }, { "linearCoefficient": -13, "constant": "-3", "remainder": [ "6828", "30085" ] }, { "linearCoefficient": -13, "constant": "3", "remainder": [ "-6354", "27043" ] }, { "linearCoefficient": -12, "constant": "-1", "remainder": [ "1755", "21163" ] }, { "linearCoefficient": -12, "constant": "1", "remainder": [ "-1701", "20299" ] }, { "linearCoefficient": -12, "constant": "-3", "remainder": [ "5403", "22035" ] }, { "linearCoefficient": -12, "constant": "3", "remainder": [ "-4965", "19443" ] }, { "linearCoefficient": -11, "constant": "-1", "remainder": [ "1356", "14999" ] }, { "linearCoefficient": -11, "constant": "1", "remainder": [ "-1306", "14273" ] }, { "linearCoefficient": -11, "constant": "-3", "remainder": [ "4194", "15733" ] }, { "linearCoefficient": -11, "constant": "3", "remainder": [ "-3792", "13555" ] }, { "linearCoefficient": -10, "constant": "-1", "remainder": [ "1023", "10295" ] }, { "linearCoefficient": -10, "constant": "1", "remainder": [ "-977", "9695" ] }, { "linearCoefficient": -10, "constant": "-3", "remainder": [ "3183", "10903" ] }, { "linearCoefficient": -10, "constant": "3", "remainder": [ "-2817", "9103" ] }, { "linearCoefficient": -9, "constant": "-1", "remainder": [ "750", "6799" ] }, { "linearCoefficient": -9, "constant": "1", "remainder": [ "-708", "6313" ] }, { "linearCoefficient": -9, "constant": "-3", "remainder": [ "2352", "7293" ] }, { "linearCoefficient": -9, "constant": "3", "remainder": [ "-2022", "5835" ] }, { "linearCoefficient": -8, "constant": "-1", "remainder": [ "531", "4283" ] }, { "linearCoefficient": -8, "constant": "1", "remainder": [ "-493", "3899" ] }, { "linearCoefficient": -8, "constant": "-3", "remainder": [ "1683", "4675" ] }, { "linearCoefficient": -8, "constant": "3", "remainder": [ "-1389", "3523" ] }, { "linearCoefficient": -7, "constant": "-1", "remainder": [ "360", "2543" ] }, { "linearCoefficient": -7, "constant": "1", "remainder": [ "-326", "2249" ] }, { "linearCoefficient": -7, "constant": "-3", "remainder": [ "1158", "2845" ] }, { "linearCoefficient": -7, "constant": "3", "remainder": [ "-900", "1963" ] }, { "linearCoefficient": -6, "constant": "-1", "remainder": [ "231", "1399" ] }, { "linearCoefficient": -6, "constant": "1", "remainder": [ "-201", "1183" ] }, { "linearCoefficient": -6, "constant": "-3", "remainder": [ "759", "1623" ] }, { "linearCoefficient": -6, "constant": "3", "remainder": [ "-537", "975" ] }, { "linearCoefficient": -5, "constant": "-1", "remainder": [ "138", "695" ] }, { "linearCoefficient": -5, "constant": "1", "remainder": [ "-112", "545" ] }, { "linearCoefficient": -5, "constant": "-3", "remainder": [ "468", "853" ] }, { "linearCoefficient": -5, "constant": "3", "remainder": [ "-282", "403" ] }, { "linearCoefficient": -4, "constant": "-1", "remainder": [ "75", "299" ] }, { "linearCoefficient": -4, "constant": "1", "remainder": [ "-53", "203" ] }, { "linearCoefficient": -4, "constant": "-3", "remainder": [ "267", "403" ] }, { "linearCoefficient": -4, "constant": "3", "remainder": [ "-117", "115" ] }, { "linearCoefficient": -3, "constant": "-1", "remainder": [ "36", "103" ] }, { "linearCoefficient": -3, "constant": "1", "remainder": [ "-18", "49" ] }, { "linearCoefficient": -3, "constant": "-3", "remainder": [ "138", "165" ] }, { "linearCoefficient": -3, "constant": "3", "remainder": [ "-24", "3" ] }, { "linearCoefficient": -2, "constant": "-1", "remainder": [ "15", "23" ] }, { "linearCoefficient": -2, "constant": "1", "remainder": [ "-1", "-1" ] }, { "linearCoefficient": -2, "constant": "-3", "remainder": [ "63", "55" ] }, { "linearCoefficient": -2, "constant": "3", "remainder": [ "15", "-17" ] }, { "linearCoefficient": -1, "constant": "-1", "remainder": [ "6", "-1" ] }, { "linearCoefficient": -1, "constant": "1", "remainder": [ "4", "-7" ] }, { "linearCoefficient": -1, "constant": "-3", "remainder": [ "24", "13" ] }, { "linearCoefficient": -1, "constant": "3", "remainder": [ "18", "-5" ] }, { "linearCoefficient": 0, "constant": "-1", "remainder": [ "3", "-5" ] }, { "linearCoefficient": 0, "constant": "1", "remainder": [ "3", "-5" ] }, { "linearCoefficient": 0, "constant": "-3", "remainder": [ "3", "3" ] }, { "linearCoefficient": 0, "constant": "3", "remainder": [ "3", "3" ] }, { "linearCoefficient": 1, "constant": "-1", "remainder": [ "0", "-1" ] }, { "linearCoefficient": 1, "constant": "1", "remainder": [ "2", "-7" ] }, { "linearCoefficient": 1, "constant": "-3", "remainder": [ "-18", "13" ] }, { "linearCoefficient": 1, "constant": "3", "remainder": [ "-12", "-5" ] }, { "linearCoefficient": 2, "constant": "-1", "remainder": [ "-9", "23" ] }, { "linearCoefficient": 2, "constant": "1", "remainder": [ "7", "-1" ] }, { "linearCoefficient": 2, "constant": "-3", "remainder": [ "-57", "55" ] }, { "linearCoefficient": 2, "constant": "3", "remainder": [ "-9", "-17" ] }, { "linearCoefficient": 3, "constant": "-1", "remainder": [ "-30", "103" ] }, { "linearCoefficient": 3, "constant": "1", "remainder": [ "24", "49" ] }, { "linearCoefficient": 3, "constant": "-3", "remainder": [ "-132", "165" ] }, { "linearCoefficient": 3, "constant": "3", "remainder": [ "30", "3" ] }, { "linearCoefficient": 4, "constant": "-1", "remainder": [ "-69", "299" ] }, { "linearCoefficient": 4, "constant": "1", "remainder": [ "59", "203" ] }, { "linearCoefficient": 4, "constant": "-3", "remainder": [ "-261", "403" ] }, { "linearCoefficient": 4, "constant": "3", "remainder": [ "123", "115" ] }, { "linearCoefficient": 5, "constant": "-1", "remainder": [ "-132", "695" ] }, { "linearCoefficient": 5, "constant": "1", "remainder": [ "118", "545" ] }, { "linearCoefficient": 5, "constant": "-3", "remainder": [ "-462", "853" ] }, { "linearCoefficient": 5, "constant": "3", "remainder": [ "288", "403" ] }, { "linearCoefficient": 6, "constant": "-1", "remainder": [ "-225", "1399" ] }, { "linearCoefficient": 6, "constant": "1", "remainder": [ "207", "1183" ] }, { "linearCoefficient": 6, "constant": "-3", "remainder": [ "-753", "1623" ] }, { "linearCoefficient": 6, "constant": "3", "remainder": [ "543", "975" ] }, { "linearCoefficient": 7, "constant": "-1", "remainder": [ "-354", "2543" ] }, { "linearCoefficient": 7, "constant": "1", "remainder": [ "332", "2249" ] }, { "linearCoefficient": 7, "constant": "-3", "remainder": [ "-1152", "2845" ] }, { "linearCoefficient": 7, "constant": "3", "remainder": [ "906", "1963" ] }, { "linearCoefficient": 8, "constant": "-1", "remainder": [ "-525", "4283" ] }, { "linearCoefficient": 8, "constant": "1", "remainder": [ "499", "3899" ] }, { "linearCoefficient": 8, "constant": "-3", "remainder": [ "-1677", "4675" ] }, { "linearCoefficient": 8, "constant": "3", "remainder": [ "1395", "3523" ] }, { "linearCoefficient": 9, "constant": "-1", "remainder": [ "-744", "6799" ] }, { "linearCoefficient": 9, "constant": "1", "remainder": [ "714", "6313" ] }, { "linearCoefficient": 9, "constant": "-3", "remainder": [ "-2346", "7293" ] }, { "linearCoefficient": 9, "constant": "3", "remainder": [ "2028", "5835" ] }, { "linearCoefficient": 10, "constant": "-1", "remainder": [ "-1017", "10295" ] }, { "linearCoefficient": 10, "constant": "1", "remainder": [ "983", "9695" ] }, { "linearCoefficient": 10, "constant": "-3", "remainder": [ "-3177", "10903" ] }, { "linearCoefficient": 10, "constant": "3", "remainder": [ "2823", "9103" ] }, { "linearCoefficient": 11, "constant": "-1", "remainder": [ "-1350", "14999" ] }, { "linearCoefficient": 11, "constant": "1", "remainder": [ "1312", "14273" ] }, { "linearCoefficient": 11, "constant": "-3", "remainder": [ "-4188", "15733" ] }, { "linearCoefficient": 11, "constant": "3", "remainder": [ "3798", "13555" ] }, { "linearCoefficient": 12, "constant": "-1", "remainder": [ "-1749", "21163" ] }, { "linearCoefficient": 12, "constant": "1", "remainder": [ "1707", "20299" ] }, { "linearCoefficient": 12, "constant": "-3", "remainder": [ "-5397", "22035" ] }, { "linearCoefficient": 12, "constant": "3", "remainder": [ "4971", "19443" ] }, { "linearCoefficient": 13, "constant": "-1", "remainder": [ "-2220", "29063" ] }, { "linearCoefficient": 13, "constant": "1", "remainder": [ "2174", "28049" ] }, { "linearCoefficient": 13, "constant": "-3", "remainder": [ "-6822", "30085" ] }, { "linearCoefficient": 13, "constant": "3", "remainder": [ "6360", "27043" ] }, { "linearCoefficient": 14, "constant": "-1", "remainder": [ "-2769", "38999" ] }, { "linearCoefficient": 14, "constant": "1", "remainder": [ "2719", "37823" ] }, { "linearCoefficient": 14, "constant": "-3", "remainder": [ "-8481", "40183" ] }, { "linearCoefficient": 14, "constant": "3", "remainder": [ "7983", "36655" ] } ], "found": null, "quotient": null } ], "product": [ "3", "-6", "0", "0", "0", "1" ] }, "discriminant": { "value": "-1737531", "square": { "square": false, "root": null }, "sylvester": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "5", "0", "0", "0", "-6", "0", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "-6", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "-6", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ], "resultant": "-1737531", "bareiss": [ { "column": 0, "swappedWith": 0, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "-6", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "-6", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 1, "swappedWith": 1, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "24", "-15", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "-6", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 2, "swappedWith": 2, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "24", "-15", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "24", "-15", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "-6", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 3, "swappedWith": 3, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "24", "-15", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "24", "-15", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "24", "-15" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "-6" ] ] }, { "column": 4, "swappedWith": 4, "pivot": "24", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "576", "-360", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "576", "-360" ], [ "0", "0", "0", "0", "0", "75", "0", "0", "-144" ] ] }, { "column": 5, "swappedWith": 5, "pivot": "576", "previousPivot": "24", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "13824", "-8640", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "13824", "-8640" ], [ "0", "0", "0", "0", "0", "0", "1125", "0", "-3456" ] ] }, { "column": 6, "swappedWith": 6, "pivot": "13824", "previousPivot": "576", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "13824", "-8640", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "331776", "-207360" ], [ "0", "0", "0", "0", "0", "0", "0", "16875", "-82944" ] ] }, { "column": 7, "swappedWith": 7, "pivot": "331776", "previousPivot": "13824", "matrix": [ [ "1", "0", "0", "0", "-6", "3", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "-6", "3", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "-6", "3", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "-6", "3" ], [ "0", "0", "0", "0", "24", "-15", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "576", "-360", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "13824", "-8640", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "331776", "-207360" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "-1737531" ] ] } ] }, "real": { "squareFreePart": [ "3", "-6", "0", "0", "0", "1" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "-6", "0", "0", "0", "1" ], "divisor": [ "-6", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "3", "-24/5" ] }, { "dividend": [ "-6", "0", "0", "0", "5" ], "divisor": [ "3", "-24/5" ], "quotient": [ "-3125/12288", "-625/1536", "-125/192", "-25/24" ], "remainder": [ "-21451/4096" ] }, { "dividend": [ "3", "-24/5" ], "divisor": [ "-21451/4096" ], "quotient": [ "-12288/21451", "98304/107255" ], "remainder": [ "0" ] } ], "sequence": [ [ "3", "-6", "0", "0", "0", "1" ], [ "-6", "0", "0", "0", "5" ], [ "-3", "24/5" ], [ "21451/4096" ] ], "divisions": [ { "dividend": [ "3", "-6", "0", "0", "0", "1" ], "divisor": [ "-6", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "3", "-24/5" ] }, { "dividend": [ "-6", "0", "0", "0", "5" ], "divisor": [ "-3", "24/5" ], "quotient": [ "3125/12288", "625/1536", "125/192", "25/24" ], "remainder": [ "-21451/4096" ] }, { "dividend": [ "-3", "24/5" ], "divisor": [ "21451/4096" ], "quotient": [ "-12288/21451", "98304/107255" ], "remainder": [ "0" ] } ], "leftInfinity": [ -1, 1, -1, 1 ], "rightInfinity": [ 1, 1, 1, 1 ], "leftVariation": 3, "rightVariation": 0, "rootCount": 3, "bound": 7, "bits": 8, "intervalConvention": "(left,right]", "nodes": [ { "id": 0, "parent": null, "left": "-7", "right": "7", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 3, "rightVariation": 0, "count": 3, "children": [ 1, 2 ] }, { "id": 1, "parent": 0, "left": "-7", "right": "0", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 3, 4 ] }, { "id": 2, "parent": 0, "left": "0", "right": "7", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 2, "rightVariation": 0, "count": 2, "children": [ 5, 6 ] }, { "id": 3, "parent": 1, "left": "-7", "right": "-7/2", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 4, "parent": 1, "left": "-7/2", "right": "0", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 7, 8 ] }, { "id": 5, "parent": 2, "left": "0", "right": "7/2", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 2, "rightVariation": 0, "count": 2, "children": [ 9, 10 ] }, { "id": 6, "parent": 2, "left": "7/2", "right": "7", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 7, "parent": 4, "left": "-7/2", "right": "-7/4", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 8, "parent": 4, "left": "-7/4", "right": "0", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 11, 12 ] }, { "id": 9, "parent": 5, "left": "0", "right": "7/4", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 2, "rightVariation": 0, "count": 2, "children": [ 13, 14 ] }, { "id": 10, "parent": 5, "left": "7/4", "right": "7/2", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 11, "parent": 8, "left": "-7/4", "right": "-7/8", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 15, 16 ] }, { "id": 12, "parent": 8, "left": "-7/8", "right": "0", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 13, "parent": 9, "left": "0", "right": "7/8", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 17, 18 ] }, { "id": 14, "parent": 9, "left": "7/8", "right": "7/4", "leftSigns": [ -1, -1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 19, 20 ] }, { "id": 15, "parent": 11, "left": "-7/4", "right": "-21/16", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 21, 22 ] }, { "id": 16, "parent": 11, "left": "-21/16", "right": "-7/8", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 17, "parent": 13, "left": "0", "right": "7/16", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 18, "parent": 13, "left": "7/16", "right": "7/8", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 23, 24 ] }, { "id": 19, "parent": 14, "left": "7/8", "right": "21/16", "leftSigns": [ -1, -1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 20, "parent": 14, "left": "21/16", "right": "7/4", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 25, 26 ] }, { "id": 21, "parent": 15, "left": "-7/4", "right": "-49/32", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 27, 28 ] }, { "id": 22, "parent": 15, "left": "-49/32", "right": "-21/16", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 23, "parent": 18, "left": "7/16", "right": "21/32", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 29, 30 ] }, { "id": 24, "parent": 18, "left": "21/32", "right": "7/8", "leftSigns": [ -1, -1, 1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 25, "parent": 20, "left": "21/16", "right": "49/32", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 31, 32 ] }, { "id": 26, "parent": 20, "left": "49/32", "right": "7/4", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 27, "parent": 21, "left": "-7/4", "right": "-105/64", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 33, 34 ] }, { "id": 28, "parent": 21, "left": "-105/64", "right": "-49/32", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 29, "parent": 23, "left": "7/16", "right": "35/64", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 35, 36 ] }, { "id": 30, "parent": 23, "left": "35/64", "right": "21/32", "leftSigns": [ -1, -1, -1, 1 ], "rightSigns": [ -1, -1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 31, "parent": 25, "left": "21/16", "right": "91/64", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 37, 38 ] }, { "id": 32, "parent": 25, "left": "91/64", "right": "49/32", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 33, "parent": 27, "left": "-7/4", "right": "-217/128", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 34, "parent": 27, "left": "-217/128", "right": "-105/64", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 39, 40 ] }, { "id": 35, "parent": 29, "left": "7/16", "right": "63/128", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 36, "parent": 29, "left": "63/128", "right": "35/64", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 41, 42 ] }, { "id": 37, "parent": 31, "left": "21/16", "right": "175/128", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 38, "parent": 31, "left": "175/128", "right": "91/64", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 43, 44 ] }, { "id": 39, "parent": 34, "left": "-217/128", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 45, 46 ] }, { "id": 40, "parent": 34, "left": "-427/256", "right": "-105/64", "leftSigns": [ 1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 41, "parent": 36, "left": "63/128", "right": "133/256", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 47, 48 ] }, { "id": 42, "parent": 36, "left": "133/256", "right": "35/64", "leftSigns": [ -1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 43, "parent": 38, "left": "175/128", "right": "357/256", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 44, "parent": 38, "left": "357/256", "right": "91/64", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 49, 50 ] }, { "id": 45, "parent": 39, "left": "-217/128", "right": "-861/512", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 46, "parent": 39, "left": "-861/512", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 51, 52 ] }, { "id": 47, "parent": 41, "left": "63/128", "right": "259/512", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 53, 54 ] }, { "id": 48, "parent": 41, "left": "259/512", "right": "133/256", "leftSigns": [ -1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 49, "parent": 44, "left": "357/256", "right": "721/512", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 55, 56 ] }, { "id": 50, "parent": 44, "left": "721/512", "right": "91/64", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 51, "parent": 46, "left": "-861/512", "right": "-1715/1024", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 52, "parent": 46, "left": "-1715/1024", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [ 57, 58 ] }, { "id": 53, "parent": 47, "left": "63/128", "right": "511/1024", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 54, "parent": 47, "left": "511/1024", "right": "259/512", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 59, 60 ] }, { "id": 55, "parent": 49, "left": "357/256", "right": "1435/1024", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ -1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 56, "parent": 49, "left": "1435/1024", "right": "721/512", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 61, 62 ] }, { "id": 57, "parent": 52, "left": "-1715/1024", "right": "-3423/2048", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ -1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 3, "count": 0, "children": [] }, { "id": 58, "parent": 52, "left": "-3423/2048", "right": "-427/256", "leftSigns": [ -1, 1, -1, 1 ], "rightSigns": [ 1, 1, -1, 1 ], "leftVariation": 3, "rightVariation": 2, "count": 1, "children": [] }, { "id": 59, "parent": 54, "left": "511/1024", "right": "1029/2048", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ 1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 60, "parent": 54, "left": "1029/2048", "right": "259/512", "leftSigns": [ 1, -1, -1, 1 ], "rightSigns": [ -1, -1, -1, 1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [] }, { "id": 61, "parent": 56, "left": "1435/1024", "right": "2877/2048", "leftSigns": [ -1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [] }, { "id": 62, "parent": 56, "left": "2877/2048", "right": "721/512", "leftSigns": [ 1, 1, 1, 1 ], "rightSigns": [ 1, 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] } ], "leaves": [ 58, 60, 61 ] }, "reductions": [ { "prime": 2, "reduced": [ "1", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "1" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "1", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "1" ], "quotient": [ "0", "1" ], "remainder": [ "1" ] }, { "dividend": [ "0", "0", "0", "0", "1" ], "divisor": [ "1" ], "quotient": [ "0", "0", "0", "0", "1" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "1", "1" ], [ "1", "1", "1", "1", "1" ] ], "degrees": [ 1, 4 ], "divisions": [ { "dividend": [ "1", "0", "0", "0", "0", "1" ], "factor": [ "1", "1" ], "quotient": [ "1", "1", "1", "1", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "1" ], [ "1" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "1", "1", "1", "1", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "1" ], [ "1", "1", "1", "1" ], [ "0", "0", "0", "1" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 2, "difference": [ "1", "0", "1", "1" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "1", "1", "1", "1", "1" ], "divisor": [ "1", "0", "1", "1" ], "quotient": [ "0", "1" ], "remainder": [ "1", "0", "1" ] }, { "dividend": [ "1", "0", "1", "1" ], "divisor": [ "1", "0", "1" ], "quotient": [ "1", "1" ], "remainder": [ "0", "1" ] }, { "dividend": [ "1", "0", "1" ], "divisor": [ "0", "1" ], "quotient": [ "0", "1" ], "remainder": [ "1" ] }, { "dividend": [ "0", "1" ], "divisor": [ "1" ], "quotient": [ "0", "1" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "1", "0", "0", "0", "0", "1" ], "cycleType": "1,4" }, { "prime": 3, "reduced": [ "0", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "2" ], "gcd": [ "0", "0", "0", "0", "1" ], "gcdSteps": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "2" ], "quotient": [ "0", "2" ], "remainder": [ "0" ] } ], "good": false, "factors": [ [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ] ], "degrees": [ 1, 1, 1, 1, 1 ], "divisions": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "1" ] }, { "dividend": [ "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] } ], "product": [ "0", "0", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 5, "reduced": [ "3", "4", "0", "0", "0", "1" ], "derivative": [ "4" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "4", "0", "0", "0", "1" ], "divisor": [ "4" ], "quotient": [ "2", "1", "0", "0", "0", "4" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "4", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "3", "4", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "2", "1" ], [ "4", "1" ], [ "1", "1" ], [ "3", "1" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "2" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "3", "4", "0", "0", "0", "1" ], "divisor": [ "2" ], "quotient": [ "4", "2", "0", "0", "0", "3" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "4", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 7, "reduced": [ "3", "1", "0", "0", "0", "1" ], "derivative": [ "1", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "1", "0", "0", "0", "1" ], "divisor": [ "1", "0", "0", "0", "5" ], "quotient": [ "0", "3" ], "remainder": [ "3", "5" ] }, { "dividend": [ "1", "0", "0", "0", "5" ], "divisor": [ "3", "5" ], "quotient": [ "6", "4", "5", "1" ], "remainder": [ "4" ] }, { "dividend": [ "3", "5" ], "divisor": [ "4" ], "quotient": [ "6", "3" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "1", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "3", "1", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "4", "6" ], [ "1", "3", "0", "2", "3" ], [ "3", "2", "3", "4", "2" ], [ "3", "1", "0", "2", "2" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "0", "6", "4", "6" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "3", "1", "0", "0", "0", "1" ], "divisor": [ "0", "6", "4", "6" ], "quotient": [ "6", "3", "6" ], "remainder": [ "3" ] }, { "dividend": [ "0", "6", "4", "6" ], "divisor": [ "3" ], "quotient": [ "0", "2", "6", "2" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "1", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 11, "reduced": [ "3", "5", "0", "0", "0", "1" ], "derivative": [ "5", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "5", "0", "0", "0", "1" ], "divisor": [ "5", "0", "0", "0", "5" ], "quotient": [ "0", "9" ], "remainder": [ "3", "4" ] }, { "dividend": [ "5", "0", "0", "0", "5" ], "divisor": [ "3", "4" ], "quotient": [ "10", "5", "8", "4" ], "remainder": [ "8" ] }, { "dividend": [ "3", "4" ], "divisor": [ "8" ], "quotient": [ "10", "6" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "8", "3", "1" ], [ "10", "1", "8", "1" ] ], "degrees": [ 2, 3 ], "divisions": [ { "dividend": [ "3", "5", "0", "0", "0", "1" ], "factor": [ "8", "3", "1" ], "quotient": [ "10", "1", "8", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "8", "3", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "8", "10" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "8", "9" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "8", "3", "1" ], "divisor": [ "8", "9" ], "quotient": [ "2", "5" ], "remainder": [ "3" ] }, { "dividend": [ "8", "9" ], "divisor": [ "3" ], "quotient": [ "10", "3" ], "remainder": [ "0" ] } ] } ] }, { "factor": [ "10", "1", "8", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "3", "6", "6" ], [ "0", "4", "5" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "3", "5", "6" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "10", "1", "8", "1" ], "divisor": [ "3", "5", "6" ], "quotient": [ "7", "2" ], "remainder": [ "0", "4" ] }, { "dividend": [ "3", "5", "6" ], "divisor": [ "0", "4" ], "quotient": [ "4", "7" ], "remainder": [ "3" ] }, { "dividend": [ "0", "4" ], "divisor": [ "3" ], "quotient": [ "0", "5" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "5", "0", "0", "0", "1" ], "cycleType": "2,3" }, { "prime": 13, "reduced": [ "3", "7", "0", "0", "0", "1" ], "derivative": [ "7", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "7", "0", "0", "0", "1" ], "divisor": [ "7", "0", "0", "0", "5" ], "quotient": [ "0", "8" ], "remainder": [ "3", "3" ] }, { "dividend": [ "7", "0", "0", "0", "5" ], "divisor": [ "3", "3" ], "quotient": [ "7", "6", "7", "6" ], "remainder": [ "12" ] }, { "dividend": [ "3", "3" ], "divisor": [ "12" ], "quotient": [ "10", "10" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "7", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "3", "7", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "9", "8", "0", "9", "3" ], [ "12", "12", "10", "10", "4" ], [ "10", "10", "12", "2", "12" ], [ "8", "8", "4", "5", "7" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "9", "7", "0", "9", "3" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "3", "7", "0", "0", "0", "1" ], "divisor": [ "9", "7", "0", "9", "3" ], "quotient": [ "12", "9" ], "remainder": [ "12", "11", "2", "9" ] }, { "dividend": [ "9", "7", "0", "9", "3" ], "divisor": [ "12", "11", "2", "9" ], "quotient": [ "12", "9" ], "remainder": [ "8", "1", "7" ] }, { "dividend": [ "12", "11", "2", "9" ], "divisor": [ "8", "1", "7" ], "quotient": [ "7", "5" ], "remainder": [ "8", "3" ] }, { "dividend": [ "8", "1", "7" ], "divisor": [ "8", "3" ], "quotient": [ "10", "11" ], "remainder": [ "6" ] }, { "dividend": [ "8", "3" ], "divisor": [ "6" ], "quotient": [ "10", "7" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "7", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 17, "reduced": [ "3", "11", "0", "0", "0", "1" ], "derivative": [ "11", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "11", "0", "0", "0", "1" ], "divisor": [ "11", "0", "0", "0", "5" ], "quotient": [ "0", "7" ], "remainder": [ "3", "2" ] }, { "dividend": [ "11", "0", "0", "0", "5" ], "divisor": [ "3", "2" ], "quotient": [ "16", "12", "9", "11" ], "remainder": [ "14" ] }, { "dividend": [ "3", "2" ], "divisor": [ "14" ], "quotient": [ "16", "5" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "13", "1" ], [ "2", "1" ], [ "7", "1" ], [ "13", "12", "1" ] ], "degrees": [ 1, 1, 1, 2 ], "divisions": [ { "dividend": [ "3", "11", "0", "0", "0", "1" ], "factor": [ "2", "1" ], "quotient": [ "10", "9", "4", "15", "1" ] }, { "dividend": [ "10", "9", "4", "15", "1" ], "factor": [ "7", "1" ], "quotient": [ "16", "16", "8", "1" ] }, { "dividend": [ "16", "16", "8", "1" ], "factor": [ "13", "1" ], "quotient": [ "13", "12", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "13", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "2", "1" ], "frobeniusRemainders": [ [ "15" ], [ "15" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "7", "1" ], "frobeniusRemainders": [ [ "10" ], [ "10" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "13", "12", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "5", "16" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "5", "15" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "13", "12", "1" ], "divisor": [ "5", "15" ], "quotient": [ "14", "8" ], "remainder": [ "11" ] }, { "dividend": [ "5", "15" ], "divisor": [ "11" ], "quotient": [ "2", "6" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "11", "0", "0", "0", "1" ], "cycleType": "1,1,1,2" }, { "prime": 19, "reduced": [ "3", "13", "0", "0", "0", "1" ], "derivative": [ "13", "0", "0", "0", "5" ], "gcd": [ "16", "1" ], "gcdSteps": [ { "dividend": [ "3", "13", "0", "0", "0", "1" ], "divisor": [ "13", "0", "0", "0", "5" ], "quotient": [ "0", "4" ], "remainder": [ "3", "18" ] }, { "dividend": [ "13", "0", "0", "0", "5" ], "divisor": [ "3", "18" ], "quotient": [ "17", "12", "4", "14" ], "remainder": [ "0" ] } ], "good": false, "factors": [ [ "16", "1" ], [ "16", "1" ], [ "13", "8", "6", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "3", "13", "0", "0", "0", "1" ], "factor": [ "16", "1" ], "quotient": [ "18", "8", "9", "3", "1" ] }, { "dividend": [ "18", "8", "9", "3", "1" ], "factor": [ "16", "1" ], "quotient": [ "13", "8", "6", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "16", "1" ], "frobeniusRemainders": [ [ "3" ], [ "3" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "16", "1" ], "frobeniusRemainders": [ [ "3" ], [ "3" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "13", "8", "6", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "16", "17", "10" ], [ "16", "1", "9" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "16", "16", "10" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "13", "8", "6", "1" ], "divisor": [ "16", "16", "10" ], "quotient": [ "5", "2" ], "remainder": [ "9", "10" ] }, { "dividend": [ "16", "16", "10" ], "divisor": [ "9", "10" ], "quotient": [ "14", "1" ], "remainder": [ "4" ] }, { "dividend": [ "9", "10" ], "divisor": [ "4" ], "quotient": [ "7", "12" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "13", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 23, "reduced": [ "3", "17", "0", "0", "0", "1" ], "derivative": [ "17", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "17", "0", "0", "0", "1" ], "divisor": [ "17", "0", "0", "0", "5" ], "quotient": [ "0", "14" ], "remainder": [ "3", "9" ] }, { "dividend": [ "17", "0", "0", "0", "5" ], "divisor": [ "3", "9" ], "quotient": [ "12", "10", "16", "21" ], "remainder": [ "4" ] }, { "dividend": [ "3", "9" ], "divisor": [ "4" ], "quotient": [ "18", "8" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "21", "1" ], [ "13", "21", "1" ], [ "22", "4", "1" ] ], "degrees": [ 1, 2, 2 ], "divisions": [ { "dividend": [ "3", "17", "0", "0", "0", "1" ], "factor": [ "21", "1" ], "quotient": [ "10", "8", "4", "2", "1" ] }, { "dividend": [ "10", "8", "4", "2", "1" ], "factor": [ "22", "4", "1" ], "quotient": [ "13", "21", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "21", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "13", "21", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "2", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "2", "21" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "13", "21", "1" ], "divisor": [ "2", "21" ], "quotient": [ "12", "11" ], "remainder": [ "12" ] }, { "dividend": [ "2", "21" ], "divisor": [ "12" ], "quotient": [ "4", "19" ], "remainder": [ "0" ] } ] } ] }, { "factor": [ "22", "4", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "19", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "19", "21" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "22", "4", "1" ], "divisor": [ "19", "21" ], "quotient": [ "22", "11" ], "remainder": [ "18" ] }, { "dividend": [ "19", "21" ], "divisor": [ "18" ], "quotient": [ "10", "5" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "17", "0", "0", "0", "1" ], "cycleType": "1,2,2" }, { "prime": 29, "reduced": [ "3", "23", "0", "0", "0", "1" ], "derivative": [ "23", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "23", "0", "0", "0", "1" ], "divisor": [ "23", "0", "0", "0", "5" ], "quotient": [ "0", "6" ], "remainder": [ "3", "1" ] }, { "dividend": [ "23", "0", "0", "0", "5" ], "divisor": [ "3", "1" ], "quotient": [ "10", "16", "14", "5" ], "remainder": [ "22" ] }, { "dividend": [ "3", "1" ], "divisor": [ "22" ], "quotient": [ "12", "4" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "23", "1" ], [ "7", "1" ], [ "2", "14", "28", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "3", "23", "0", "0", "0", "1" ], "factor": [ "7", "1" ], "quotient": [ "17", "5", "20", "22", "1" ] }, { "dividend": [ "17", "5", "20", "22", "1" ], "factor": [ "23", "1" ], "quotient": [ "2", "14", "28", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "23", "1" ], "frobeniusRemainders": [ [ "6" ], [ "6" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "7", "1" ], "frobeniusRemainders": [ [ "22" ], [ "22" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "2", "14", "28", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "19", "17", "7" ], [ "11", "11", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "19", "16", "7" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "2", "14", "28", "1" ], "divisor": [ "19", "16", "7" ], "quotient": [ "9", "25" ], "remainder": [ "5", "4" ] }, { "dividend": [ "19", "16", "7" ], "divisor": [ "5", "4" ], "quotient": [ "0", "9" ], "remainder": [ "19" ] }, { "dividend": [ "5", "4" ], "divisor": [ "19" ], "quotient": [ "14", "17" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "23", "0", "0", "0", "1" ], "cycleType": "1,1,3" } ], "eisenstein": [ { "prime": 2, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 3, "divisible": [ true, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": true }, { "prime": 5, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 7, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 11, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 13, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 17, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 19, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 23, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 29, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false } ], "construction": null }, "selectedPrime": 2, "evidence": [ { "kind": "cycle", "source": "prime", "prime": 2, "type": "1,4" }, { "kind": "cycle", "source": "prime", "prime": 5, "type": "5" }, { "kind": "cycle", "source": "prime", "prime": 7, "type": "5" }, { "kind": "cycle", "source": "prime", "prime": 11, "type": "2,3" }, { "kind": "cycle", "source": "complex-conjugation", "type": "1,1,1,2", "realRoots": 3, "complexPairs": 1 }, { "kind": "parity", "source": "discriminant", "square": false } ], "unusedEvidence": [ { "prime": 3, "reason": "约化有重因子，不能用此行作普通Frobenius循环型证据" } ], "realConjugation": { "rootDegree": 5, "realCount": 3, "complexPairs": 1, "type": "1,1,1,2" }, "classification": { "applicable": true, "steps": [ { "evidence": { "kind": "cycle", "source": "prime", "prime": 2, "type": "1,4" }, "before": [ "C5", "D5", "F20", "A5", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [ { "group": "C5", "reason": "群中没有该循环型" }, { "group": "D5", "reason": "群中没有该循环型" }, { "group": "A5", "reason": "群中没有该循环型" } ] }, { "evidence": { "kind": "cycle", "source": "prime", "prime": 5, "type": "5" }, "before": [ "F20", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [] }, { "evidence": { "kind": "cycle", "source": "prime", "prime": 7, "type": "5" }, "before": [ "F20", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [] }, { "evidence": { "kind": "cycle", "source": "prime", "prime": 11, "type": "2,3" }, "before": [ "F20", "S5" ], "remaining": [ "S5" ], "excluded": [ { "group": "F20", "reason": "群中没有该循环型" } ] }, { "evidence": { "kind": "cycle", "source": "complex-conjugation", "type": "1,1,1,2", "realRoots": 3, "complexPairs": 1 }, "before": [ "S5" ], "remaining": [ "S5" ], "excluded": [] }, { "evidence": { "kind": "parity", "source": "discriminant", "square": false }, "before": [ "S5" ], "remaining": [ "S5" ], "excluded": [] } ], "remaining": [ "S5" ], "solvable": false, "exactGroup": "S5", "reason": "全部剩余候选不可解，因此不能由根式解" }, "candidateModels": [ { "id": "C5", "order": 5, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "labels": [ "()", "(1 2 3 4 5)", "(1 3 5 2 4)", "(1 4 2 5 3)", "(1 5 4 3 2)" ], "multiplication": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "inverses": [ 0, 4, 3, 2, 1 ], "cycleTypes": [ "1,1,1,1,1", "5", "5", "5", "5" ], "availableTypes": [ "1,1,1,1,1", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 0 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 0 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 4, 0, 0 ], [ 4, 1, 0 ], [ 4, 2, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "D5", "order": 10, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], [ 1, 0, 8, 9, 7, 6, 5, 4, 2, 3 ], [ 2, 3, 0, 1, 8, 9, 7, 6, 4, 5 ], [ 3, 2, 4, 5, 6, 7, 9, 8, 0, 1 ], [ 4, 5, 3, 2, 0, 1, 8, 9, 6, 7 ], [ 5, 4, 6, 7, 9, 8, 1, 0, 3, 2 ], [ 6, 7, 5, 4, 3, 2, 0, 1, 9, 8 ], [ 7, 6, 9, 8, 1, 0, 2, 3, 5, 4 ], [ 8, 9, 1, 0, 2, 3, 4, 5, 7, 6 ], [ 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 8, 4, 7, 6, 5, 3, 9 ], "cycleTypes": [ "1,1,1,1,1", "1,2,2", "1,2,2", "5", "1,2,2", "5", "1,2,2", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 7 ], [ 1, 3, 7 ], [ 1, 4, 3 ], [ 1, 5, 3 ], [ 1, 6, 8 ], [ 1, 7, 8 ], [ 1, 8, 5 ], [ 1, 9, 5 ], [ 2, 0, 0 ], [ 2, 1, 5 ], [ 2, 2, 0 ], [ 2, 3, 7 ], [ 2, 4, 7 ], [ 2, 5, 3 ], [ 2, 6, 3 ], [ 2, 7, 8 ], [ 2, 8, 5 ], [ 2, 9, 8 ], [ 3, 0, 0 ], [ 3, 1, 5 ], [ 3, 2, 5 ], [ 3, 3, 0 ], [ 3, 4, 5 ], [ 3, 5, 0 ], [ 3, 6, 5 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 3, 9, 5 ], [ 4, 0, 0 ], [ 4, 1, 8 ], [ 4, 2, 5 ], [ 4, 3, 7 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 7 ], [ 4, 7, 8 ], [ 4, 8, 5 ], [ 4, 9, 3 ], [ 5, 0, 0 ], [ 5, 1, 8 ], [ 5, 2, 8 ], [ 5, 3, 0 ], [ 5, 4, 8 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 5, 9, 8 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 8 ], [ 6, 3, 7 ], [ 6, 4, 5 ], [ 6, 5, 3 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 5 ], [ 6, 9, 7 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 3 ], [ 7, 3, 0 ], [ 7, 4, 3 ], [ 7, 5, 0 ], [ 7, 6, 3 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 7, 9, 3 ], [ 8, 0, 0 ], [ 8, 1, 7 ], [ 8, 2, 7 ], [ 8, 3, 0 ], [ 8, 4, 7 ], [ 8, 5, 0 ], [ 8, 6, 7 ], [ 8, 7, 0 ], [ 8, 8, 0 ], [ 8, 9, 7 ], [ 9, 0, 0 ], [ 9, 1, 7 ], [ 9, 2, 3 ], [ 9, 3, 7 ], [ 9, 4, 8 ], [ 9, 5, 3 ], [ 9, 6, 5 ], [ 9, 7, 8 ], [ 9, 8, 5 ], [ 9, 9, 0 ] ], "generators": [ 0, 3, 5, 7, 8 ], "next": [ 0, 3, 5, 7, 8 ], "words": { "0": [], "3": [ 3 ], "5": [ 5 ], "7": [ 7 ], "8": [ 8 ] } }, { "elements": [ 0, 3, 5, 7, 8 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 5, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 5, 0 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 5, 0, 0 ], [ 5, 3, 0 ], [ 5, 5, 0 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 7, 0, 0 ], [ 7, 3, 0 ], [ 7, 5, 0 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 8, 0, 0 ], [ 8, 3, 0 ], [ 8, 5, 0 ], [ 8, 7, 0 ], [ 8, 8, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "F20", "order": 20, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 2, 4, 1, 3 ], [ 0, 3, 1, 4, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 4, 2, 0, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 1, 3, 0 ], [ 3, 0, 2, 4, 1 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 1, 3, 0, 2 ], [ 4, 2, 0, 3, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 3 5 4)", "(2 4 5 3)", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 2 4 3)", "(1 2 5 4)", "(1 3 4 2)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 3 2 5)", "(1 4 5 2)", "(1 4 3 5)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5 3 4)", "(1 5 2 3)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], [ 1, 3, 0, 2, 8, 11, 9, 10, 16, 18, 17, 19, 4, 5, 7, 6, 12, 14, 15, 13 ], [ 2, 0, 3, 1, 12, 13, 15, 14, 4, 6, 7, 5, 16, 19, 17, 18, 8, 10, 9, 11 ], [ 3, 2, 1, 0, 16, 19, 18, 17, 12, 15, 14, 13, 8, 11, 10, 9, 4, 7, 6, 5 ], [ 4, 7, 6, 5, 0, 3, 2, 1, 17, 16, 19, 18, 13, 12, 15, 14, 9, 8, 11, 10 ], [ 5, 6, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12, 17, 18, 19, 16, 0, 1, 2, 3 ], [ 6, 4, 5, 7, 13, 12, 14, 15, 0, 2, 1, 3, 9, 10, 8, 11, 17, 19, 16, 18 ], [ 7, 5, 4, 6, 17, 18, 16, 19, 9, 11, 8, 10, 0, 3, 1, 2, 13, 15, 14, 12 ], [ 8, 10, 9, 11, 1, 2, 0, 3, 14, 12, 13, 15, 5, 4, 6, 7, 18, 16, 19, 17 ], [ 9, 8, 11, 10, 5, 4, 7, 6, 1, 0, 3, 2, 18, 17, 16, 19, 14, 13, 12, 15 ], [ 10, 11, 8, 9, 14, 15, 12, 13, 18, 19, 16, 17, 1, 2, 3, 0, 5, 6, 7, 4 ], [ 11, 9, 10, 8, 18, 17, 19, 16, 5, 7, 6, 4, 14, 15, 13, 12, 1, 3, 0, 2 ], [ 12, 14, 15, 13, 2, 1, 3, 0, 10, 8, 11, 9, 19, 16, 18, 17, 6, 4, 5, 7 ], [ 13, 15, 14, 12, 6, 7, 5, 4, 19, 17, 18, 16, 10, 9, 11, 8, 2, 0, 3, 1 ], [ 14, 13, 12, 15, 10, 9, 8, 11, 6, 5, 4, 7, 2, 1, 0, 3, 19, 18, 17, 16 ], [ 15, 12, 13, 14, 19, 16, 17, 18, 2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9 ], [ 16, 17, 18, 19, 3, 0, 1, 2, 7, 4, 5, 6, 11, 8, 9, 10, 15, 12, 13, 14 ], [ 17, 19, 16, 18, 7, 6, 4, 5, 15, 13, 12, 14, 3, 0, 2, 1, 11, 9, 10, 8 ], [ 18, 16, 19, 17, 11, 8, 10, 9, 3, 1, 2, 0, 15, 14, 12, 13, 7, 5, 4, 6 ], [ 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 4, 16, 8, 12, 6, 9, 15, 18, 7, 17, 14, 10, 5, 13, 11, 19 ], "cycleTypes": [ "1,1,1,1,1", "1,4", "1,4", "1,2,2", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "5", "1,4", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "1,4", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 5 ], [ 1, 5, 5 ], [ 1, 6, 5 ], [ 1, 7, 5 ], [ 1, 8, 10 ], [ 1, 9, 10 ], [ 1, 10, 10 ], [ 1, 11, 10 ], [ 1, 12, 15 ], [ 1, 13, 15 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 16 ], [ 1, 17, 16 ], [ 1, 18, 16 ], [ 1, 19, 16 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 10 ], [ 2, 5, 10 ], [ 2, 6, 10 ], [ 2, 7, 10 ], [ 2, 8, 16 ], [ 2, 9, 16 ], [ 2, 10, 16 ], [ 2, 11, 16 ], [ 2, 12, 5 ], [ 2, 13, 5 ], [ 2, 14, 5 ], [ 2, 15, 5 ], [ 2, 16, 15 ], [ 2, 17, 15 ], [ 2, 18, 15 ], [ 2, 19, 15 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 15 ], [ 3, 5, 15 ], [ 3, 6, 15 ], [ 3, 7, 15 ], [ 3, 8, 5 ], [ 3, 9, 5 ], [ 3, 10, 5 ], [ 3, 11, 5 ], [ 3, 12, 16 ], [ 3, 13, 16 ], [ 3, 14, 16 ], [ 3, 15, 16 ], [ 3, 16, 10 ], [ 3, 17, 10 ], [ 3, 18, 10 ], [ 3, 19, 10 ], [ 4, 0, 0 ], [ 4, 1, 16 ], [ 4, 2, 15 ], [ 4, 3, 10 ], [ 4, 4, 0 ], [ 4, 5, 15 ], [ 4, 6, 10 ], [ 4, 7, 5 ], [ 4, 8, 16 ], [ 4, 9, 15 ], [ 4, 10, 5 ], [ 4, 11, 0 ], [ 4, 12, 15 ], [ 4, 13, 10 ], [ 4, 14, 5 ], [ 4, 15, 16 ], [ 4, 16, 10 ], [ 4, 17, 5 ], [ 4, 18, 0 ], [ 4, 19, 16 ], [ 5, 0, 0 ], [ 5, 1, 16 ], [ 5, 2, 15 ], [ 5, 3, 10 ], [ 5, 4, 10 ], [ 5, 5, 0 ], [ 5, 6, 16 ], [ 5, 7, 15 ], [ 5, 8, 15 ], [ 5, 9, 10 ], [ 5, 10, 0 ], [ 5, 11, 16 ], [ 5, 12, 16 ], [ 5, 13, 15 ], [ 5, 14, 10 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 5, 17, 16 ], [ 5, 18, 15 ], [ 5, 19, 10 ], [ 6, 0, 0 ], [ 6, 1, 16 ], [ 6, 2, 15 ], [ 6, 3, 10 ], [ 6, 4, 15 ], [ 6, 5, 5 ], [ 6, 6, 0 ], [ 6, 7, 16 ], [ 6, 8, 0 ], [ 6, 9, 16 ], [ 6, 10, 10 ], [ 6, 11, 5 ], [ 6, 12, 10 ], [ 6, 13, 5 ], [ 6, 14, 0 ], [ 6, 15, 15 ], [ 6, 16, 16 ], [ 6, 17, 15 ], [ 6, 18, 10 ], [ 6, 19, 5 ], [ 7, 0, 0 ], [ 7, 1, 16 ], [ 7, 2, 15 ], [ 7, 3, 10 ], [ 7, 4, 16 ], [ 7, 5, 10 ], [ 7, 6, 5 ], [ 7, 7, 0 ], [ 7, 8, 10 ], [ 7, 9, 5 ], [ 7, 10, 16 ], [ 7, 11, 15 ], [ 7, 12, 0 ], [ 7, 13, 16 ], [ 7, 14, 15 ], [ 7, 15, 5 ], [ 7, 16, 15 ], [ 7, 17, 10 ], [ 7, 18, 5 ], [ 7, 19, 0 ], [ 8, 0, 0 ], [ 8, 1, 15 ], [ 8, 2, 5 ], [ 8, 3, 16 ], [ 8, 4, 5 ], [ 8, 5, 10 ], [ 8, 6, 0 ], [ 8, 7, 15 ], [ 8, 8, 0 ], [ 8, 9, 15 ], [ 8, 10, 16 ], [ 8, 11, 10 ], [ 8, 12, 16 ], [ 8, 13, 10 ], [ 8, 14, 0 ], [ 8, 15, 5 ], [ 8, 16, 15 ], [ 8, 17, 5 ], [ 8, 18, 16 ], [ 8, 19, 10 ], [ 9, 0, 0 ], [ 9, 1, 15 ], [ 9, 2, 5 ], [ 9, 3, 16 ], [ 9, 4, 10 ], [ 9, 5, 15 ], [ 9, 6, 5 ], [ 9, 7, 16 ], [ 9, 8, 10 ], [ 9, 9, 0 ], [ 9, 10, 5 ], [ 9, 11, 16 ], [ 9, 12, 10 ], [ 9, 13, 0 ], [ 9, 14, 15 ], [ 9, 15, 16 ], [ 9, 16, 10 ], [ 9, 17, 0 ], [ 9, 18, 15 ], [ 9, 19, 5 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 5 ], [ 10, 3, 16 ], [ 10, 4, 16 ], [ 10, 5, 0 ], [ 10, 6, 15 ], [ 10, 7, 5 ], [ 10, 8, 5 ], [ 10, 9, 16 ], [ 10, 10, 0 ], [ 10, 11, 15 ], [ 10, 12, 15 ], [ 10, 13, 5 ], [ 10, 14, 16 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 10, 17, 15 ], [ 10, 18, 5 ], [ 10, 19, 16 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 5 ], [ 11, 3, 16 ], [ 11, 4, 0 ], [ 11, 5, 5 ], [ 11, 6, 16 ], [ 11, 7, 10 ], [ 11, 8, 15 ], [ 11, 9, 5 ], [ 11, 10, 10 ], [ 11, 11, 0 ], [ 11, 12, 5 ], [ 11, 13, 16 ], [ 11, 14, 10 ], [ 11, 15, 15 ], [ 11, 16, 16 ], [ 11, 17, 10 ], [ 11, 18, 0 ], [ 11, 19, 15 ], [ 12, 0, 0 ], [ 12, 1, 10 ], [ 12, 2, 16 ], [ 12, 3, 5 ], [ 12, 4, 10 ], [ 12, 5, 5 ], [ 12, 6, 15 ], [ 12, 7, 0 ], [ 12, 8, 5 ], [ 12, 9, 15 ], [ 12, 10, 10 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 10 ], [ 12, 14, 16 ], [ 12, 15, 15 ], [ 12, 16, 16 ], [ 12, 17, 5 ], [ 12, 18, 15 ], [ 12, 19, 0 ], [ 13, 0, 0 ], [ 13, 1, 10 ], [ 13, 2, 16 ], [ 13, 3, 5 ], [ 13, 4, 15 ], [ 13, 5, 10 ], [ 13, 6, 16 ], [ 13, 7, 5 ], [ 13, 8, 15 ], [ 13, 9, 0 ], [ 13, 10, 16 ], [ 13, 11, 5 ], [ 13, 12, 15 ], [ 13, 13, 0 ], [ 13, 14, 10 ], [ 13, 15, 5 ], [ 13, 16, 15 ], [ 13, 17, 0 ], [ 13, 18, 10 ], [ 13, 19, 16 ], [ 14, 0, 0 ], [ 14, 1, 10 ], [ 14, 2, 16 ], [ 14, 3, 5 ], [ 14, 4, 16 ], [ 14, 5, 15 ], [ 14, 6, 0 ], [ 14, 7, 10 ], [ 14, 8, 0 ], [ 14, 9, 10 ], [ 14, 10, 5 ], [ 14, 11, 15 ], [ 14, 12, 5 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 16 ], [ 14, 16, 10 ], [ 14, 17, 16 ], [ 14, 18, 5 ], [ 14, 19, 15 ], [ 15, 0, 0 ], [ 15, 1, 10 ], [ 15, 2, 16 ], [ 15, 3, 5 ], [ 15, 4, 5 ], [ 15, 5, 0 ], [ 15, 6, 10 ], [ 15, 7, 16 ], [ 15, 8, 16 ], [ 15, 9, 5 ], [ 15, 10, 0 ], [ 15, 11, 10 ], [ 15, 12, 10 ], [ 15, 13, 16 ], [ 15, 14, 5 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 15, 17, 10 ], [ 15, 18, 16 ], [ 15, 19, 5 ], [ 16, 0, 0 ], [ 16, 1, 5 ], [ 16, 2, 10 ], [ 16, 3, 15 ], [ 16, 4, 15 ], [ 16, 5, 0 ], [ 16, 6, 5 ], [ 16, 7, 10 ], [ 16, 8, 10 ], [ 16, 9, 15 ], [ 16, 10, 0 ], [ 16, 11, 5 ], [ 16, 12, 5 ], [ 16, 13, 10 ], [ 16, 14, 15 ], [ 16, 15, 0 ], [ 16, 16, 0 ], [ 16, 17, 5 ], [ 16, 18, 10 ], [ 16, 19, 15 ], [ 17, 0, 0 ], [ 17, 1, 5 ], [ 17, 2, 10 ], [ 17, 3, 15 ], [ 17, 4, 16 ], [ 17, 5, 5 ], [ 17, 6, 10 ], [ 17, 7, 15 ], [ 17, 8, 16 ], [ 17, 9, 0 ], [ 17, 10, 10 ], [ 17, 11, 15 ], [ 17, 12, 16 ], [ 17, 13, 0 ], [ 17, 14, 5 ], [ 17, 15, 15 ], [ 17, 16, 16 ], [ 17, 17, 0 ], [ 17, 18, 5 ], [ 17, 19, 10 ], [ 18, 0, 0 ], [ 18, 1, 5 ], [ 18, 2, 10 ], [ 18, 3, 15 ], [ 18, 4, 0 ], [ 18, 5, 10 ], [ 18, 6, 15 ], [ 18, 7, 16 ], [ 18, 8, 5 ], [ 18, 9, 10 ], [ 18, 10, 16 ], [ 18, 11, 0 ], [ 18, 12, 10 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 5 ], [ 18, 16, 15 ], [ 18, 17, 16 ], [ 18, 18, 0 ], [ 18, 19, 5 ], [ 19, 0, 0 ], [ 19, 1, 5 ], [ 19, 2, 10 ], [ 19, 3, 15 ], [ 19, 4, 5 ], [ 19, 5, 15 ], [ 19, 6, 16 ], [ 19, 7, 0 ], [ 19, 8, 15 ], [ 19, 9, 16 ], [ 19, 10, 5 ], [ 19, 11, 10 ], [ 19, 12, 0 ], [ 19, 13, 5 ], [ 19, 14, 10 ], [ 19, 15, 16 ], [ 19, 16, 10 ], [ 19, 17, 15 ], [ 19, 18, 16 ], [ 19, 19, 0 ] ], "generators": [ 0, 5, 10, 15, 16 ], "next": [ 0, 5, 10, 15, 16 ], "words": { "0": [], "5": [ 5 ], "10": [ 10 ], "15": [ 15 ], "16": [ 16 ] } }, { "elements": [ 0, 5, 10, 15, 16 ], "commutators": [ [ 0, 0, 0 ], [ 0, 5, 0 ], [ 0, 10, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 5, 0, 0 ], [ 5, 5, 0 ], [ 5, 10, 0 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 10, 0, 0 ], [ 10, 5, 0 ], [ 10, 10, 0 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 15, 0, 0 ], [ 15, 5, 0 ], [ 15, 10, 0 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 16, 0, 0 ], [ 16, 5, 0 ], [ 16, 10, 0 ], [ 16, 15, 0 ], [ 16, 16, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "A5", "order": 60, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(3 4 5)", "(3 5 4)", "(2 3)(4 5)", "(2 3 4)", "(2 3 5)", "(2 4 3)", "(2 4 5)", "(2 4)(3 5)", "(2 5 3)", "(2 5 4)", "(2 5)(3 4)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5)", "(1 2 5 3 4)", "(1 3 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3)(4 5)", "(1 3 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 4 2 5)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5)", "(1 4)(3 5)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 5 4 3 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 3)", "(1 5 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], [ 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35 ], [ 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44 ], [ 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46 ], [ 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53 ], [ 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20 ], [ 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55 ], [ 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22 ], [ 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29 ], [ 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31 ], [ 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40 ], [ 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16 ], [ 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47 ], [ 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56 ], [ 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32 ], [ 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57 ], [ 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ], [ 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38 ], [ 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33 ], [ 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49 ], [ 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5 ], [ 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42 ], [ 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7 ], [ 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58 ], [ 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23 ], [ 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41 ], [ 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45 ], [ 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50 ], [ 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8 ], [ 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51 ], [ 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9 ], [ 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14 ], [ 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18 ], [ 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36 ], [ 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1 ], [ 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34 ], [ 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52 ], [ 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17 ], [ 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54 ], [ 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10 ], [ 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26 ], [ 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21 ], [ 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2 ], [ 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27 ], [ 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3 ], [ 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43 ], [ 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19 ], [ 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28 ], [ 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30 ], [ 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37 ], [ 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4 ], [ 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39 ], [ 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6 ], [ 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13 ], [ 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15 ], [ 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 6, 9, 4, 10, 8, 5, 7, 11, 12, 13, 14, 24, 48, 36, 26, 37, 50, 25, 49, 38, 15, 21, 18, 27, 39, 51, 30, 54, 45, 33, 42, 57, 17, 19, 23, 28, 52, 41, 34, 43, 58, 32, 56, 47, 16, 22, 20, 29, 40, 53, 31, 55, 46, 35, 44, 59 ], "cycleTypes": [ "1,1,1,1,1", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "1,2,2", "1,2,2", "1,2,2", "1,1,3", "5", "5", "5", "1,1,3", "5", "5", "1,1,3", "5", "1,1,3", "5", "5", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "5", "5", "1,2,2", "5", "5", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,3", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 11 ], [ 1, 4, 11 ], [ 1, 5, 11 ], [ 1, 6, 3 ], [ 1, 7, 3 ], [ 1, 8, 3 ], [ 1, 9, 8 ], [ 1, 10, 8 ], [ 1, 11, 8 ], [ 1, 12, 2 ], [ 1, 13, 2 ], [ 1, 14, 2 ], [ 1, 15, 28 ], [ 1, 16, 28 ], [ 1, 17, 28 ], [ 1, 18, 40 ], [ 1, 19, 40 ], [ 1, 20, 40 ], [ 1, 21, 51 ], [ 1, 22, 51 ], [ 1, 23, 51 ], [ 1, 24, 4 ], [ 1, 25, 4 ], [ 1, 26, 4 ], [ 1, 27, 53 ], [ 1, 28, 53 ], [ 1, 29, 53 ], [ 1, 30, 25 ], [ 1, 31, 25 ], [ 1, 32, 25 ], [ 1, 33, 23 ], [ 1, 34, 23 ], [ 1, 35, 23 ], [ 1, 36, 7 ], [ 1, 37, 7 ], [ 1, 38, 7 ], [ 1, 39, 27 ], [ 1, 40, 27 ], [ 1, 41, 27 ], [ 1, 42, 16 ], [ 1, 43, 16 ], [ 1, 44, 16 ], [ 1, 45, 36 ], [ 1, 46, 36 ], [ 1, 47, 36 ], [ 1, 48, 9 ], [ 1, 49, 9 ], [ 1, 50, 9 ], [ 1, 51, 41 ], [ 1, 52, 41 ], [ 1, 53, 41 ], [ 1, 54, 50 ], [ 1, 55, 50 ], [ 1, 56, 50 ], [ 1, 57, 18 ], [ 1, 58, 18 ], [ 1, 59, 18 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 8 ], [ 2, 4, 8 ], [ 2, 5, 8 ], [ 2, 6, 11 ], [ 2, 7, 11 ], [ 2, 8, 11 ], [ 2, 9, 3 ], [ 2, 10, 3 ], [ 2, 11, 3 ], [ 2, 12, 1 ], [ 2, 13, 1 ], [ 2, 14, 1 ], [ 2, 15, 29 ], [ 2, 16, 29 ], [ 2, 17, 29 ], [ 2, 18, 39 ], [ 2, 19, 39 ], [ 2, 20, 39 ], [ 2, 21, 52 ], [ 2, 22, 52 ], [ 2, 23, 52 ], [ 2, 24, 5 ], [ 2, 25, 5 ], [ 2, 26, 5 ], [ 2, 27, 41 ], [ 2, 28, 41 ], [ 2, 29, 41 ], [ 2, 30, 20 ], [ 2, 31, 20 ], [ 2, 32, 20 ], [ 2, 33, 26 ], [ 2, 34, 26 ], [ 2, 35, 26 ], [ 2, 36, 6 ], [ 2, 37, 6 ], [ 2, 38, 6 ], [ 2, 39, 53 ], [ 2, 40, 53 ], [ 2, 41, 53 ], [ 2, 42, 38 ], [ 2, 43, 38 ], [ 2, 44, 38 ], [ 2, 45, 21 ], [ 2, 46, 21 ], [ 2, 47, 21 ], [ 2, 48, 10 ], [ 2, 49, 10 ], [ 2, 50, 10 ], [ 2, 51, 27 ], [ 2, 52, 27 ], [ 2, 53, 27 ], [ 2, 54, 17 ], [ 2, 55, 17 ], [ 2, 56, 17 ], [ 2, 57, 48 ], [ 2, 58, 48 ], [ 2, 59, 48 ], [ 3, 0, 0 ], [ 3, 1, 11 ], [ 3, 2, 8 ], [ 3, 3, 0 ], [ 3, 4, 8 ], [ 3, 5, 11 ], [ 3, 6, 11 ], [ 3, 7, 8 ], [ 3, 8, 0 ], [ 3, 9, 8 ], [ 3, 10, 11 ], [ 3, 11, 0 ], [ 3, 12, 15 ], [ 3, 13, 56 ], [ 3, 14, 44 ], [ 3, 15, 15 ], [ 3, 16, 44 ], [ 3, 17, 56 ], [ 3, 18, 56 ], [ 3, 19, 44 ], [ 3, 20, 15 ], [ 3, 21, 44 ], [ 3, 22, 56 ], [ 3, 23, 15 ], [ 3, 24, 24 ], [ 3, 25, 58 ], [ 3, 26, 46 ], [ 3, 27, 24 ], [ 3, 28, 46 ], [ 3, 29, 58 ], [ 3, 30, 58 ], [ 3, 31, 46 ], [ 3, 32, 24 ], [ 3, 33, 46 ], [ 3, 34, 58 ], [ 3, 35, 24 ], [ 3, 36, 25 ], [ 3, 37, 18 ], [ 3, 38, 40 ], [ 3, 39, 25 ], [ 3, 40, 40 ], [ 3, 41, 18 ], [ 3, 42, 18 ], [ 3, 43, 40 ], [ 3, 44, 25 ], [ 3, 45, 40 ], [ 3, 46, 18 ], [ 3, 47, 25 ], [ 3, 48, 26 ], [ 3, 49, 21 ], [ 3, 50, 52 ], [ 3, 51, 26 ], [ 3, 52, 52 ], [ 3, 53, 21 ], [ 3, 54, 21 ], [ 3, 55, 52 ], [ 3, 56, 26 ], [ 3, 57, 52 ], [ 3, 58, 21 ], [ 3, 59, 26 ], [ 4, 0, 0 ], [ 4, 1, 11 ], [ 4, 2, 8 ], [ 4, 3, 8 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 0 ], [ 4, 7, 3 ], [ 4, 8, 11 ], [ 4, 9, 11 ], [ 4, 10, 8 ], [ 4, 11, 3 ], [ 4, 12, 54 ], [ 4, 13, 43 ], [ 4, 14, 16 ], [ 4, 15, 43 ], [ 4, 16, 5 ], [ 4, 17, 54 ], [ 4, 18, 16 ], [ 4, 19, 43 ], [ 4, 20, 5 ], [ 4, 21, 54 ], [ 4, 22, 5 ], [ 4, 23, 16 ], [ 4, 24, 13 ], [ 4, 25, 56 ], [ 4, 26, 35 ], [ 4, 27, 35 ], [ 4, 28, 13 ], [ 4, 29, 1 ], [ 4, 30, 13 ], [ 4, 31, 1 ], [ 4, 32, 56 ], [ 4, 33, 56 ], [ 4, 34, 35 ], [ 4, 35, 1 ], [ 4, 36, 50 ], [ 4, 37, 30 ], [ 4, 38, 44 ], [ 4, 39, 30 ], [ 4, 40, 10 ], [ 4, 41, 50 ], [ 4, 42, 44 ], [ 4, 43, 30 ], [ 4, 44, 10 ], [ 4, 45, 50 ], [ 4, 46, 10 ], [ 4, 47, 44 ], [ 4, 48, 37 ], [ 4, 49, 15 ], [ 4, 50, 28 ], [ 4, 51, 28 ], [ 4, 52, 37 ], [ 4, 53, 6 ], [ 4, 54, 37 ], [ 4, 55, 6 ], [ 4, 56, 15 ], [ 4, 57, 15 ], [ 4, 58, 28 ], [ 4, 59, 6 ], [ 5, 0, 0 ], [ 5, 1, 11 ], [ 5, 2, 8 ], [ 5, 3, 11 ], [ 5, 4, 3 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 11 ], [ 5, 8, 3 ], [ 5, 9, 0 ], [ 5, 10, 3 ], [ 5, 11, 8 ], [ 5, 12, 42 ], [ 5, 13, 17 ], [ 5, 14, 55 ], [ 5, 15, 55 ], [ 5, 16, 42 ], [ 5, 17, 4 ], [ 5, 18, 42 ], [ 5, 19, 4 ], [ 5, 20, 17 ], [ 5, 21, 17 ], [ 5, 22, 55 ], [ 5, 23, 4 ], [ 5, 24, 14 ], [ 5, 25, 32 ], [ 5, 26, 44 ], [ 5, 27, 32 ], [ 5, 28, 2 ], [ 5, 29, 14 ], [ 5, 30, 44 ], [ 5, 31, 32 ], [ 5, 32, 2 ], [ 5, 33, 14 ], [ 5, 34, 2 ], [ 5, 35, 44 ], [ 5, 36, 49 ], [ 5, 37, 15 ], [ 5, 38, 29 ], [ 5, 39, 29 ], [ 5, 40, 49 ], [ 5, 41, 9 ], [ 5, 42, 49 ], [ 5, 43, 9 ], [ 5, 44, 15 ], [ 5, 45, 15 ], [ 5, 46, 29 ], [ 5, 47, 9 ], [ 5, 48, 38 ], [ 5, 49, 33 ], [ 5, 50, 56 ], [ 5, 51, 33 ], [ 5, 52, 7 ], [ 5, 53, 38 ], [ 5, 54, 56 ], [ 5, 55, 33 ], [ 5, 56, 7 ], [ 5, 57, 38 ], [ 5, 58, 7 ], [ 5, 59, 56 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 11 ], [ 6, 3, 11 ], [ 6, 4, 0 ], [ 6, 5, 8 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 3 ], [ 6, 9, 3 ], [ 6, 10, 11 ], [ 6, 11, 8 ], [ 6, 12, 20 ], [ 6, 13, 30 ], [ 6, 14, 58 ], [ 6, 15, 30 ], [ 6, 16, 7 ], [ 6, 17, 20 ], [ 6, 18, 58 ], [ 6, 19, 30 ], [ 6, 20, 7 ], [ 6, 21, 20 ], [ 6, 22, 7 ], [ 6, 23, 58 ], [ 6, 24, 43 ], [ 6, 25, 31 ], [ 6, 26, 48 ], [ 6, 27, 48 ], [ 6, 28, 43 ], [ 6, 29, 9 ], [ 6, 30, 43 ], [ 6, 31, 9 ], [ 6, 32, 31 ], [ 6, 33, 31 ], [ 6, 34, 48 ], [ 6, 35, 9 ], [ 6, 36, 46 ], [ 6, 37, 13 ], [ 6, 38, 57 ], [ 6, 39, 13 ], [ 6, 40, 2 ], [ 6, 41, 46 ], [ 6, 42, 57 ], [ 6, 43, 13 ], [ 6, 44, 2 ], [ 6, 45, 46 ], [ 6, 46, 2 ], [ 6, 47, 57 ], [ 6, 48, 39 ], [ 6, 49, 19 ], [ 6, 50, 24 ], [ 6, 51, 24 ], [ 6, 52, 39 ], [ 6, 53, 4 ], [ 6, 54, 39 ], [ 6, 55, 4 ], [ 6, 56, 19 ], [ 6, 57, 19 ], [ 6, 58, 24 ], [ 6, 59, 4 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 11 ], [ 7, 3, 8 ], [ 7, 4, 3 ], [ 7, 5, 11 ], [ 7, 6, 8 ], [ 7, 7, 0 ], [ 7, 8, 11 ], [ 7, 9, 8 ], [ 7, 10, 0 ], [ 7, 11, 3 ], [ 7, 12, 59 ], [ 7, 13, 18 ], [ 7, 14, 32 ], [ 7, 15, 6 ], [ 7, 16, 18 ], [ 7, 17, 32 ], [ 7, 18, 6 ], [ 7, 19, 59 ], [ 7, 20, 32 ], [ 7, 21, 6 ], [ 7, 22, 59 ], [ 7, 23, 18 ], [ 7, 24, 19 ], [ 7, 25, 40 ], [ 7, 26, 49 ], [ 7, 27, 10 ], [ 7, 28, 40 ], [ 7, 29, 49 ], [ 7, 30, 10 ], [ 7, 31, 19 ], [ 7, 32, 49 ], [ 7, 33, 10 ], [ 7, 34, 19 ], [ 7, 35, 40 ], [ 7, 36, 31 ], [ 7, 37, 12 ], [ 7, 38, 42 ], [ 7, 39, 1 ], [ 7, 40, 12 ], [ 7, 41, 42 ], [ 7, 42, 1 ], [ 7, 43, 31 ], [ 7, 44, 42 ], [ 7, 45, 1 ], [ 7, 46, 31 ], [ 7, 47, 12 ], [ 7, 48, 57 ], [ 7, 49, 47 ], [ 7, 50, 25 ], [ 7, 51, 5 ], [ 7, 52, 47 ], [ 7, 53, 25 ], [ 7, 54, 5 ], [ 7, 55, 57 ], [ 7, 56, 25 ], [ 7, 57, 5 ], [ 7, 58, 57 ], [ 7, 59, 47 ], [ 8, 0, 0 ], [ 8, 1, 3 ], [ 8, 2, 11 ], [ 8, 3, 0 ], [ 8, 4, 11 ], [ 8, 5, 3 ], [ 8, 6, 3 ], [ 8, 7, 11 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 3 ], [ 8, 11, 0 ], [ 8, 12, 31 ], [ 8, 13, 57 ], [ 8, 14, 19 ], [ 8, 15, 31 ], [ 8, 16, 19 ], [ 8, 17, 57 ], [ 8, 18, 57 ], [ 8, 19, 19 ], [ 8, 20, 31 ], [ 8, 21, 19 ], [ 8, 22, 57 ], [ 8, 23, 31 ], [ 8, 24, 17 ], [ 8, 25, 29 ], [ 8, 26, 38 ], [ 8, 27, 17 ], [ 8, 28, 38 ], [ 8, 29, 29 ], [ 8, 30, 29 ], [ 8, 31, 38 ], [ 8, 32, 17 ], [ 8, 33, 38 ], [ 8, 34, 29 ], [ 8, 35, 17 ], [ 8, 36, 35 ], [ 8, 37, 37 ], [ 8, 38, 54 ], [ 8, 39, 35 ], [ 8, 40, 54 ], [ 8, 41, 37 ], [ 8, 42, 37 ], [ 8, 43, 54 ], [ 8, 44, 35 ], [ 8, 45, 54 ], [ 8, 46, 37 ], [ 8, 47, 35 ], [ 8, 48, 51 ], [ 8, 49, 23 ], [ 8, 50, 36 ], [ 8, 51, 51 ], [ 8, 52, 36 ], [ 8, 53, 23 ], [ 8, 54, 23 ], [ 8, 55, 36 ], [ 8, 56, 51 ], [ 8, 57, 36 ], [ 8, 58, 23 ], [ 8, 59, 51 ], [ 9, 0, 0 ], [ 9, 1, 8 ], [ 9, 2, 3 ], [ 9, 3, 8 ], [ 9, 4, 11 ], [ 9, 5, 0 ], [ 9, 6, 3 ], [ 9, 7, 8 ], [ 9, 8, 11 ], [ 9, 9, 0 ], [ 9, 10, 11 ], [ 9, 11, 3 ], [ 9, 12, 23 ], [ 9, 13, 46 ], [ 9, 14, 33 ], [ 9, 15, 33 ], [ 9, 16, 23 ], [ 9, 17, 10 ], [ 9, 18, 23 ], [ 9, 19, 10 ], [ 9, 20, 46 ], [ 9, 21, 46 ], [ 9, 22, 33 ], [ 9, 23, 10 ], [ 9, 24, 55 ], [ 9, 25, 36 ], [ 9, 26, 34 ], [ 9, 27, 36 ], [ 9, 28, 6 ], [ 9, 29, 55 ], [ 9, 30, 34 ], [ 9, 31, 36 ], [ 9, 32, 6 ], [ 9, 33, 55 ], [ 9, 34, 6 ], [ 9, 35, 34 ], [ 9, 36, 51 ], [ 9, 37, 22 ], [ 9, 38, 24 ], [ 9, 39, 24 ], [ 9, 40, 51 ], [ 9, 41, 5 ], [ 9, 42, 51 ], [ 9, 43, 5 ], [ 9, 44, 22 ], [ 9, 45, 22 ], [ 9, 46, 24 ], [ 9, 47, 5 ], [ 9, 48, 58 ], [ 9, 49, 14 ], [ 9, 50, 45 ], [ 9, 51, 14 ], [ 9, 52, 1 ], [ 9, 53, 58 ], [ 9, 54, 45 ], [ 9, 55, 14 ], [ 9, 56, 1 ], [ 9, 57, 58 ], [ 9, 58, 1 ], [ 9, 59, 45 ], [ 10, 0, 0 ], [ 10, 1, 8 ], [ 10, 2, 3 ], [ 10, 3, 11 ], [ 10, 4, 8 ], [ 10, 5, 3 ], [ 10, 6, 11 ], [ 10, 7, 0 ], [ 10, 8, 3 ], [ 10, 9, 11 ], [ 10, 10, 0 ], [ 10, 11, 8 ], [ 10, 12, 47 ], [ 10, 13, 35 ], [ 10, 14, 21 ], [ 10, 15, 9 ], [ 10, 16, 35 ], [ 10, 17, 21 ], [ 10, 18, 9 ], [ 10, 19, 47 ], [ 10, 20, 21 ], [ 10, 21, 9 ], [ 10, 22, 47 ], [ 10, 23, 35 ], [ 10, 24, 22 ], [ 10, 25, 37 ], [ 10, 26, 52 ], [ 10, 27, 7 ], [ 10, 28, 37 ], [ 10, 29, 52 ], [ 10, 30, 7 ], [ 10, 31, 22 ], [ 10, 32, 52 ], [ 10, 33, 7 ], [ 10, 34, 22 ], [ 10, 35, 37 ], [ 10, 36, 45 ], [ 10, 37, 59 ], [ 10, 38, 26 ], [ 10, 39, 4 ], [ 10, 40, 59 ], [ 10, 41, 26 ], [ 10, 42, 4 ], [ 10, 43, 45 ], [ 10, 44, 26 ], [ 10, 45, 4 ], [ 10, 46, 45 ], [ 10, 47, 59 ], [ 10, 48, 34 ], [ 10, 49, 12 ], [ 10, 50, 54 ], [ 10, 51, 2 ], [ 10, 52, 12 ], [ 10, 53, 54 ], [ 10, 54, 2 ], [ 10, 55, 34 ], [ 10, 56, 54 ], [ 10, 57, 2 ], [ 10, 58, 34 ], [ 10, 59, 12 ], [ 11, 0, 0 ], [ 11, 1, 8 ], [ 11, 2, 3 ], [ 11, 3, 0 ], [ 11, 4, 3 ], [ 11, 5, 8 ], [ 11, 6, 8 ], [ 11, 7, 3 ], [ 11, 8, 0 ], [ 11, 9, 3 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 34 ], [ 11, 13, 22 ], [ 11, 14, 45 ], [ 11, 15, 34 ], [ 11, 16, 45 ], [ 11, 17, 22 ], [ 11, 18, 22 ], [ 11, 19, 45 ], [ 11, 20, 34 ], [ 11, 21, 45 ], [ 11, 22, 22 ], [ 11, 23, 34 ], [ 11, 24, 16 ], [ 11, 25, 50 ], [ 11, 26, 28 ], [ 11, 27, 16 ], [ 11, 28, 28 ], [ 11, 29, 50 ], [ 11, 30, 50 ], [ 11, 31, 28 ], [ 11, 32, 16 ], [ 11, 33, 28 ], [ 11, 34, 50 ], [ 11, 35, 16 ], [ 11, 36, 39 ], [ 11, 37, 20 ], [ 11, 38, 48 ], [ 11, 39, 39 ], [ 11, 40, 48 ], [ 11, 41, 20 ], [ 11, 42, 20 ], [ 11, 43, 48 ], [ 11, 44, 39 ], [ 11, 45, 48 ], [ 11, 46, 20 ], [ 11, 47, 39 ], [ 11, 48, 32 ], [ 11, 49, 49 ], [ 11, 50, 42 ], [ 11, 51, 32 ], [ 11, 52, 42 ], [ 11, 53, 49 ], [ 11, 54, 49 ], [ 11, 55, 42 ], [ 11, 56, 32 ], [ 11, 57, 42 ], [ 11, 58, 49 ], [ 11, 59, 32 ], [ 12, 0, 0 ], [ 12, 1, 1 ], [ 12, 2, 2 ], [ 12, 3, 24 ], [ 12, 4, 31 ], [ 12, 5, 34 ], [ 12, 6, 50 ], [ 12, 7, 59 ], [ 12, 8, 54 ], [ 12, 9, 38 ], [ 12, 10, 47 ], [ 12, 11, 42 ], [ 12, 12, 0 ], [ 12, 13, 1 ], [ 12, 14, 2 ], [ 12, 15, 15 ], [ 12, 16, 42 ], [ 12, 17, 54 ], [ 12, 18, 23 ], [ 12, 19, 47 ], [ 12, 20, 34 ], [ 12, 21, 20 ], [ 12, 22, 59 ], [ 12, 23, 31 ], [ 12, 24, 24 ], [ 12, 25, 31 ], [ 12, 26, 34 ], [ 12, 27, 15 ], [ 12, 28, 42 ], [ 12, 29, 54 ], [ 12, 30, 20 ], [ 12, 31, 38 ], [ 12, 32, 2 ], [ 12, 33, 23 ], [ 12, 34, 50 ], [ 12, 35, 1 ], [ 12, 36, 50 ], [ 12, 37, 59 ], [ 12, 38, 54 ], [ 12, 39, 23 ], [ 12, 40, 47 ], [ 12, 41, 34 ], [ 12, 42, 20 ], [ 12, 43, 38 ], [ 12, 44, 2 ], [ 12, 45, 15 ], [ 12, 46, 24 ], [ 12, 47, 0 ], [ 12, 48, 38 ], [ 12, 49, 47 ], [ 12, 50, 42 ], [ 12, 51, 20 ], [ 12, 52, 59 ], [ 12, 53, 31 ], [ 12, 54, 23 ], [ 12, 55, 50 ], [ 12, 56, 1 ], [ 12, 57, 15 ], [ 12, 58, 24 ], [ 12, 59, 0 ], [ 13, 0, 0 ], [ 13, 1, 1 ], [ 13, 2, 2 ], [ 13, 3, 46 ], [ 13, 4, 43 ], [ 13, 5, 36 ], [ 13, 6, 30 ], [ 13, 7, 26 ], [ 13, 8, 35 ], [ 13, 9, 56 ], [ 13, 10, 57 ], [ 13, 11, 49 ], [ 13, 12, 2 ], [ 13, 13, 0 ], [ 13, 14, 1 ], [ 13, 15, 30 ], [ 13, 16, 18 ], [ 13, 17, 57 ], [ 13, 18, 56 ], [ 13, 19, 43 ], [ 13, 20, 17 ], [ 13, 21, 46 ], [ 13, 22, 22 ], [ 13, 23, 35 ], [ 13, 24, 43 ], [ 13, 25, 36 ], [ 13, 26, 46 ], [ 13, 27, 57 ], [ 13, 28, 30 ], [ 13, 29, 18 ], [ 13, 30, 0 ], [ 13, 31, 22 ], [ 13, 32, 49 ], [ 13, 33, 26 ], [ 13, 34, 2 ], [ 13, 35, 17 ], [ 13, 36, 35 ], [ 13, 37, 30 ], [ 13, 38, 26 ], [ 13, 39, 43 ], [ 13, 40, 17 ], [ 13, 41, 56 ], [ 13, 42, 49 ], [ 13, 43, 0 ], [ 13, 44, 22 ], [ 13, 45, 1 ], [ 13, 46, 18 ], [ 13, 47, 36 ], [ 13, 48, 57 ], [ 13, 49, 49 ], [ 13, 50, 56 ], [ 13, 51, 35 ], [ 13, 52, 46 ], [ 13, 53, 22 ], [ 13, 54, 2 ], [ 13, 55, 17 ], [ 13, 56, 26 ], [ 13, 57, 36 ], [ 13, 58, 1 ], [ 13, 59, 18 ], [ 14, 0, 0 ], [ 14, 1, 1 ], [ 14, 2, 2 ], [ 14, 3, 58 ], [ 14, 4, 48 ], [ 14, 5, 55 ], [ 14, 6, 44 ], [ 14, 7, 45 ], [ 14, 8, 37 ], [ 14, 9, 33 ], [ 14, 10, 25 ], [ 14, 11, 32 ], [ 14, 12, 1 ], [ 14, 13, 2 ], [ 14, 14, 0 ], [ 14, 15, 33 ], [ 14, 16, 45 ], [ 14, 17, 21 ], [ 14, 18, 58 ], [ 14, 19, 19 ], [ 14, 20, 32 ], [ 14, 21, 44 ], [ 14, 22, 55 ], [ 14, 23, 16 ], [ 14, 24, 55 ], [ 14, 25, 58 ], [ 14, 26, 48 ], [ 14, 27, 45 ], [ 14, 28, 21 ], [ 14, 29, 33 ], [ 14, 30, 25 ], [ 14, 31, 1 ], [ 14, 32, 16 ], [ 14, 33, 0 ], [ 14, 34, 19 ], [ 14, 35, 37 ], [ 14, 36, 45 ], [ 14, 37, 37 ], [ 14, 38, 44 ], [ 14, 39, 32 ], [ 14, 40, 58 ], [ 14, 41, 19 ], [ 14, 42, 1 ], [ 14, 43, 16 ], [ 14, 44, 25 ], [ 14, 45, 48 ], [ 14, 46, 2 ], [ 14, 47, 21 ], [ 14, 48, 32 ], [ 14, 49, 33 ], [ 14, 50, 25 ], [ 14, 51, 55 ], [ 14, 52, 16 ], [ 14, 53, 44 ], [ 14, 54, 37 ], [ 14, 55, 0 ], [ 14, 56, 19 ], [ 14, 57, 2 ], [ 14, 58, 21 ], [ 14, 59, 48 ], [ 15, 0, 0 ], [ 15, 1, 39 ], [ 15, 2, 51 ], [ 15, 3, 24 ], [ 15, 4, 43 ], [ 15, 5, 55 ], [ 15, 6, 30 ], [ 15, 7, 4 ], [ 15, 8, 54 ], [ 15, 9, 33 ], [ 15, 10, 5 ], [ 15, 11, 42 ], [ 15, 12, 24 ], [ 15, 13, 30 ], [ 15, 14, 33 ], [ 15, 15, 0 ], [ 15, 16, 19 ], [ 15, 17, 22 ], [ 15, 18, 39 ], [ 15, 19, 13 ], [ 15, 20, 21 ], [ 15, 21, 51 ], [ 15, 22, 14 ], [ 15, 23, 18 ], [ 15, 24, 0 ], [ 15, 25, 4 ], [ 15, 26, 5 ], [ 15, 27, 24 ], [ 15, 28, 13 ], [ 15, 29, 14 ], [ 15, 30, 43 ], [ 15, 31, 19 ], [ 15, 32, 17 ], [ 15, 33, 55 ], [ 15, 34, 22 ], [ 15, 35, 16 ], [ 15, 36, 39 ], [ 15, 37, 43 ], [ 15, 38, 42 ], [ 15, 39, 30 ], [ 15, 40, 19 ], [ 15, 41, 18 ], [ 15, 42, 4 ], [ 15, 43, 13 ], [ 15, 44, 16 ], [ 15, 45, 54 ], [ 15, 46, 21 ], [ 15, 47, 17 ], [ 15, 48, 51 ], [ 15, 49, 55 ], [ 15, 50, 54 ], [ 15, 51, 33 ], [ 15, 52, 22 ], [ 15, 53, 21 ], [ 15, 54, 5 ], [ 15, 55, 14 ], [ 15, 56, 17 ], [ 15, 57, 42 ], [ 15, 58, 18 ], [ 15, 59, 16 ], [ 16, 0, 0 ], [ 16, 1, 39 ], [ 16, 2, 51 ], [ 16, 3, 58 ], [ 16, 4, 9 ], [ 16, 5, 34 ], [ 16, 6, 10 ], [ 16, 7, 26 ], [ 16, 8, 37 ], [ 16, 9, 38 ], [ 16, 10, 57 ], [ 16, 11, 32 ], [ 16, 12, 34 ], [ 16, 13, 26 ], [ 16, 14, 32 ], [ 16, 15, 37 ], [ 16, 16, 0 ], [ 16, 17, 10 ], [ 16, 18, 57 ], [ 16, 19, 38 ], [ 16, 20, 39 ], [ 16, 21, 9 ], [ 16, 22, 51 ], [ 16, 23, 58 ], [ 16, 24, 39 ], [ 16, 25, 37 ], [ 16, 26, 38 ], [ 16, 27, 32 ], [ 16, 28, 57 ], [ 16, 29, 58 ], [ 16, 30, 51 ], [ 16, 31, 9 ], [ 16, 32, 0 ], [ 16, 33, 10 ], [ 16, 34, 26 ], [ 16, 35, 34 ], [ 16, 36, 51 ], [ 16, 37, 58 ], [ 16, 38, 57 ], [ 16, 39, 34 ], [ 16, 40, 10 ], [ 16, 41, 9 ], [ 16, 42, 38 ], [ 16, 43, 32 ], [ 16, 44, 26 ], [ 16, 45, 0 ], [ 16, 46, 37 ], [ 16, 47, 39 ], [ 16, 48, 0 ], [ 16, 49, 9 ], [ 16, 50, 10 ], [ 16, 51, 26 ], [ 16, 52, 37 ], [ 16, 53, 38 ], [ 16, 54, 39 ], [ 16, 55, 57 ], [ 16, 56, 51 ], [ 16, 57, 58 ], [ 16, 58, 34 ], [ 16, 59, 32 ], [ 17, 0, 0 ], [ 17, 1, 39 ], [ 17, 2, 51 ], [ 17, 3, 46 ], [ 17, 4, 31 ], [ 17, 5, 6 ], [ 17, 6, 50 ], [ 17, 7, 45 ], [ 17, 8, 35 ], [ 17, 9, 7 ], [ 17, 10, 25 ], [ 17, 11, 49 ], [ 17, 12, 31 ], [ 17, 13, 35 ], [ 17, 14, 25 ], [ 17, 15, 49 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 6 ], [ 17, 19, 39 ], [ 17, 20, 46 ], [ 17, 21, 45 ], [ 17, 22, 50 ], [ 17, 23, 51 ], [ 17, 24, 51 ], [ 17, 25, 50 ], [ 17, 26, 49 ], [ 17, 27, 35 ], [ 17, 28, 46 ], [ 17, 29, 45 ], [ 17, 30, 7 ], [ 17, 31, 25 ], [ 17, 32, 31 ], [ 17, 33, 39 ], [ 17, 34, 6 ], [ 17, 35, 0 ], [ 17, 36, 0 ], [ 17, 37, 6 ], [ 17, 38, 7 ], [ 17, 39, 25 ], [ 17, 40, 49 ], [ 17, 41, 50 ], [ 17, 42, 51 ], [ 17, 43, 45 ], [ 17, 44, 39 ], [ 17, 45, 46 ], [ 17, 46, 31 ], [ 17, 47, 35 ], [ 17, 48, 39 ], [ 17, 49, 46 ], [ 17, 50, 45 ], [ 17, 51, 31 ], [ 17, 52, 7 ], [ 17, 53, 6 ], [ 17, 54, 50 ], [ 17, 55, 35 ], [ 17, 56, 25 ], [ 17, 57, 0 ], [ 17, 58, 49 ], [ 17, 59, 51 ], [ 18, 0, 0 ], [ 18, 1, 52 ], [ 18, 2, 28 ], [ 18, 3, 46 ], [ 18, 4, 48 ], [ 18, 5, 34 ], [ 18, 6, 44 ], [ 18, 7, 4 ], [ 18, 8, 35 ], [ 18, 9, 38 ], [ 18, 10, 5 ], [ 18, 11, 49 ], [ 18, 12, 38 ], [ 18, 13, 46 ], [ 18, 14, 44 ], [ 18, 15, 28 ], [ 18, 16, 35 ], [ 18, 17, 4 ], [ 18, 18, 0 ], [ 18, 19, 49 ], [ 18, 20, 5 ], [ 18, 21, 52 ], [ 18, 22, 48 ], [ 18, 23, 34 ], [ 18, 24, 4 ], [ 18, 25, 5 ], [ 18, 26, 0 ], [ 18, 27, 48 ], [ 18, 28, 38 ], [ 18, 29, 49 ], [ 18, 30, 34 ], [ 18, 31, 28 ], [ 18, 32, 52 ], [ 18, 33, 46 ], [ 18, 34, 35 ], [ 18, 35, 44 ], [ 18, 36, 49 ], [ 18, 37, 52 ], [ 18, 38, 48 ], [ 18, 39, 35 ], [ 18, 40, 34 ], [ 18, 41, 46 ], [ 18, 42, 44 ], [ 18, 43, 5 ], [ 18, 44, 38 ], [ 18, 45, 4 ], [ 18, 46, 0 ], [ 18, 47, 28 ], [ 18, 48, 34 ], [ 18, 49, 35 ], [ 18, 50, 28 ], [ 18, 51, 5 ], [ 18, 52, 44 ], [ 18, 53, 4 ], [ 18, 54, 49 ], [ 18, 55, 52 ], [ 18, 56, 0 ], [ 18, 57, 38 ], [ 18, 58, 48 ], [ 18, 59, 46 ], [ 19, 0, 0 ], [ 19, 1, 52 ], [ 19, 2, 28 ], [ 19, 3, 58 ], [ 19, 4, 43 ], [ 19, 5, 6 ], [ 19, 6, 30 ], [ 19, 7, 59 ], [ 19, 8, 37 ], [ 19, 9, 7 ], [ 19, 10, 47 ], [ 19, 11, 32 ], [ 19, 12, 47 ], [ 19, 13, 43 ], [ 19, 14, 37 ], [ 19, 15, 13 ], [ 19, 16, 23 ], [ 19, 17, 28 ], [ 19, 18, 22 ], [ 19, 19, 0 ], [ 19, 20, 15 ], [ 19, 21, 17 ], [ 19, 22, 12 ], [ 19, 23, 52 ], [ 19, 24, 30 ], [ 19, 25, 32 ], [ 19, 26, 28 ], [ 19, 27, 17 ], [ 19, 28, 43 ], [ 19, 29, 15 ], [ 19, 30, 13 ], [ 19, 31, 20 ], [ 19, 32, 6 ], [ 19, 33, 18 ], [ 19, 34, 58 ], [ 19, 35, 23 ], [ 19, 36, 7 ], [ 19, 37, 0 ], [ 19, 38, 6 ], [ 19, 39, 13 ], [ 19, 40, 12 ], [ 19, 41, 37 ], [ 19, 42, 18 ], [ 19, 43, 30 ], [ 19, 44, 15 ], [ 19, 45, 22 ], [ 19, 46, 20 ], [ 19, 47, 59 ], [ 19, 48, 58 ], [ 19, 49, 59 ], [ 19, 50, 52 ], [ 19, 51, 22 ], [ 19, 52, 47 ], [ 19, 53, 23 ], [ 19, 54, 17 ], [ 19, 55, 20 ], [ 19, 56, 32 ], [ 19, 57, 18 ], [ 19, 58, 7 ], [ 19, 59, 12 ], [ 20, 0, 0 ], [ 20, 1, 52 ], [ 20, 2, 28 ], [ 20, 3, 24 ], [ 20, 4, 9 ], [ 20, 5, 36 ], [ 20, 6, 10 ], [ 20, 7, 45 ], [ 20, 8, 54 ], [ 20, 9, 56 ], [ 20, 10, 25 ], [ 20, 11, 42 ], [ 20, 12, 42 ], [ 20, 13, 36 ], [ 20, 14, 45 ], [ 20, 15, 25 ], [ 20, 16, 28 ], [ 20, 17, 56 ], [ 20, 18, 9 ], [ 20, 19, 24 ], [ 20, 20, 0 ], [ 20, 21, 54 ], [ 20, 22, 52 ], [ 20, 23, 10 ], [ 20, 24, 54 ], [ 20, 25, 56 ], [ 20, 26, 52 ], [ 20, 27, 10 ], [ 20, 28, 45 ], [ 20, 29, 9 ], [ 20, 30, 42 ], [ 20, 31, 36 ], [ 20, 32, 25 ], [ 20, 33, 28 ], [ 20, 34, 0 ], [ 20, 35, 24 ], [ 20, 36, 25 ], [ 20, 37, 28 ], [ 20, 38, 24 ], [ 20, 39, 56 ], [ 20, 40, 54 ], [ 20, 41, 42 ], [ 20, 42, 0 ], [ 20, 43, 52 ], [ 20, 44, 10 ], [ 20, 45, 36 ], [ 20, 46, 45 ], [ 20, 47, 9 ], [ 20, 48, 9 ], [ 20, 49, 10 ], [ 20, 50, 0 ], [ 20, 51, 24 ], [ 20, 52, 36 ], [ 20, 53, 25 ], [ 20, 54, 45 ], [ 20, 55, 42 ], [ 20, 56, 54 ], [ 20, 57, 52 ], [ 20, 58, 28 ], [ 20, 59, 56 ], [ 21, 0, 0 ], [ 21, 1, 29 ], [ 21, 2, 40 ], [ 21, 3, 58 ], [ 21, 4, 31 ], [ 21, 5, 36 ], [ 21, 6, 50 ], [ 21, 7, 4 ], [ 21, 8, 37 ], [ 21, 9, 56 ], [ 21, 10, 5 ], [ 21, 11, 32 ], [ 21, 12, 50 ], [ 21, 13, 56 ], [ 21, 14, 58 ], [ 21, 15, 29 ], [ 21, 16, 5 ], [ 21, 17, 32 ], [ 21, 18, 40 ], [ 21, 19, 36 ], [ 21, 20, 31 ], [ 21, 21, 0 ], [ 21, 22, 37 ], [ 21, 23, 4 ], [ 21, 24, 5 ], [ 21, 25, 0 ], [ 21, 26, 4 ], [ 21, 27, 36 ], [ 21, 28, 37 ], [ 21, 29, 50 ], [ 21, 30, 58 ], [ 21, 31, 32 ], [ 21, 32, 56 ], [ 21, 33, 31 ], [ 21, 34, 29 ], [ 21, 35, 40 ], [ 21, 36, 31 ], [ 21, 37, 32 ], [ 21, 38, 29 ], [ 21, 39, 4 ], [ 21, 40, 56 ], [ 21, 41, 5 ], [ 21, 42, 37 ], [ 21, 43, 40 ], [ 21, 44, 0 ], [ 21, 45, 50 ], [ 21, 46, 36 ], [ 21, 47, 58 ], [ 21, 48, 37 ], [ 21, 49, 40 ], [ 21, 50, 36 ], [ 21, 51, 32 ], [ 21, 52, 31 ], [ 21, 53, 58 ], [ 21, 54, 56 ], [ 21, 55, 4 ], [ 21, 56, 50 ], [ 21, 57, 5 ], [ 21, 58, 0 ], [ 21, 59, 29 ], [ 22, 0, 0 ], [ 22, 1, 29 ], [ 22, 2, 40 ], [ 22, 3, 46 ], [ 22, 4, 9 ], [ 22, 5, 55 ], [ 22, 6, 10 ], [ 22, 7, 59 ], [ 22, 8, 35 ], [ 22, 9, 33 ], [ 22, 10, 47 ], [ 22, 11, 49 ], [ 22, 12, 59 ], [ 22, 13, 49 ], [ 22, 14, 55 ], [ 22, 15, 14 ], [ 22, 16, 29 ], [ 22, 17, 20 ], [ 22, 18, 16 ], [ 22, 19, 12 ], [ 22, 20, 40 ], [ 22, 21, 19 ], [ 22, 22, 0 ], [ 22, 23, 15 ], [ 22, 24, 33 ], [ 22, 25, 29 ], [ 22, 26, 35 ], [ 22, 27, 16 ], [ 22, 28, 15 ], [ 22, 29, 55 ], [ 22, 30, 21 ], [ 22, 31, 46 ], [ 22, 32, 20 ], [ 22, 33, 14 ], [ 22, 34, 23 ], [ 22, 35, 9 ], [ 22, 36, 46 ], [ 22, 37, 47 ], [ 22, 38, 40 ], [ 22, 39, 19 ], [ 22, 40, 59 ], [ 22, 41, 20 ], [ 22, 42, 16 ], [ 22, 43, 23 ], [ 22, 44, 35 ], [ 22, 45, 21 ], [ 22, 46, 10 ], [ 22, 47, 12 ], [ 22, 48, 10 ], [ 22, 49, 0 ], [ 22, 50, 9 ], [ 22, 51, 14 ], [ 22, 52, 12 ], [ 22, 53, 49 ], [ 22, 54, 21 ], [ 22, 55, 33 ], [ 22, 56, 15 ], [ 22, 57, 19 ], [ 22, 58, 23 ], [ 22, 59, 47 ], [ 23, 0, 0 ], [ 23, 1, 29 ], [ 23, 2, 40 ], [ 23, 3, 24 ], [ 23, 4, 48 ], [ 23, 5, 6 ], [ 23, 6, 44 ], [ 23, 7, 26 ], [ 23, 8, 54 ], [ 23, 9, 7 ], [ 23, 10, 57 ], [ 23, 11, 42 ], [ 23, 12, 54 ], [ 23, 13, 57 ], [ 23, 14, 48 ], [ 23, 15, 26 ], [ 23, 16, 44 ], [ 23, 17, 29 ], [ 23, 18, 42 ], [ 23, 19, 40 ], [ 23, 20, 7 ], [ 23, 21, 6 ], [ 23, 22, 24 ], [ 23, 23, 0 ], [ 23, 24, 42 ], [ 23, 25, 40 ], [ 23, 26, 44 ], [ 23, 27, 7 ], [ 23, 28, 6 ], [ 23, 29, 57 ], [ 23, 30, 29 ], [ 23, 31, 0 ], [ 23, 32, 24 ], [ 23, 33, 54 ], [ 23, 34, 48 ], [ 23, 35, 26 ], [ 23, 36, 6 ], [ 23, 37, 7 ], [ 23, 38, 0 ], [ 23, 39, 24 ], [ 23, 40, 48 ], [ 23, 41, 26 ], [ 23, 42, 57 ], [ 23, 43, 54 ], [ 23, 44, 42 ], [ 23, 45, 40 ], [ 23, 46, 29 ], [ 23, 47, 44 ], [ 23, 48, 26 ], [ 23, 49, 29 ], [ 23, 50, 24 ], [ 23, 51, 44 ], [ 23, 52, 42 ], [ 23, 53, 54 ], [ 23, 54, 0 ], [ 23, 55, 40 ], [ 23, 56, 7 ], [ 23, 57, 48 ], [ 23, 58, 57 ], [ 23, 59, 6 ], [ 24, 0, 0 ], [ 24, 1, 6 ], [ 24, 2, 9 ], [ 24, 3, 15 ], [ 24, 4, 13 ], [ 24, 5, 14 ], [ 24, 6, 43 ], [ 24, 7, 37 ], [ 24, 8, 36 ], [ 24, 9, 55 ], [ 24, 10, 49 ], [ 24, 11, 48 ], [ 24, 12, 15 ], [ 24, 13, 43 ], [ 24, 14, 55 ], [ 24, 15, 0 ], [ 24, 16, 28 ], [ 24, 17, 29 ], [ 24, 18, 6 ], [ 24, 19, 30 ], [ 24, 20, 31 ], [ 24, 21, 9 ], [ 24, 22, 33 ], [ 24, 23, 34 ], [ 24, 24, 0 ], [ 24, 25, 37 ], [ 24, 26, 49 ], [ 24, 27, 15 ], [ 24, 28, 30 ], [ 24, 29, 33 ], [ 24, 30, 13 ], [ 24, 31, 28 ], [ 24, 32, 25 ], [ 24, 33, 14 ], [ 24, 34, 29 ], [ 24, 35, 26 ], [ 24, 36, 6 ], [ 24, 37, 13 ], [ 24, 38, 48 ], [ 24, 39, 43 ], [ 24, 40, 28 ], [ 24, 41, 34 ], [ 24, 42, 37 ], [ 24, 43, 30 ], [ 24, 44, 26 ], [ 24, 45, 36 ], [ 24, 46, 31 ], [ 24, 47, 25 ], [ 24, 48, 9 ], [ 24, 49, 14 ], [ 24, 50, 36 ], [ 24, 51, 55 ], [ 24, 52, 29 ], [ 24, 53, 31 ], [ 24, 54, 49 ], [ 24, 55, 33 ], [ 24, 56, 25 ], [ 24, 57, 48 ], [ 24, 58, 34 ], [ 24, 59, 26 ], [ 25, 0, 0 ], [ 25, 1, 6 ], [ 25, 2, 9 ], [ 25, 3, 44 ], [ 25, 4, 46 ], [ 25, 5, 45 ], [ 25, 6, 54 ], [ 25, 7, 52 ], [ 25, 8, 51 ], [ 25, 9, 17 ], [ 25, 10, 19 ], [ 25, 11, 20 ], [ 25, 12, 54 ], [ 25, 13, 17 ], [ 25, 14, 44 ], [ 25, 15, 6 ], [ 25, 16, 19 ], [ 25, 17, 20 ], [ 25, 18, 9 ], [ 25, 19, 45 ], [ 25, 20, 46 ], [ 25, 21, 0 ], [ 25, 22, 51 ], [ 25, 23, 52 ], [ 25, 24, 19 ], [ 25, 25, 0 ], [ 25, 26, 52 ], [ 25, 27, 45 ], [ 25, 28, 51 ], [ 25, 29, 54 ], [ 25, 30, 44 ], [ 25, 31, 20 ], [ 25, 32, 17 ], [ 25, 33, 46 ], [ 25, 34, 6 ], [ 25, 35, 9 ], [ 25, 36, 46 ], [ 25, 37, 20 ], [ 25, 38, 6 ], [ 25, 39, 52 ], [ 25, 40, 17 ], [ 25, 41, 19 ], [ 25, 42, 51 ], [ 25, 43, 9 ], [ 25, 44, 0 ], [ 25, 45, 54 ], [ 25, 46, 45 ], [ 25, 47, 44 ], [ 25, 48, 51 ], [ 25, 49, 9 ], [ 25, 50, 45 ], [ 25, 51, 20 ], [ 25, 52, 46 ], [ 25, 53, 44 ], [ 25, 54, 17 ], [ 25, 55, 52 ], [ 25, 56, 54 ], [ 25, 57, 19 ], [ 25, 58, 0 ], [ 25, 59, 6 ], [ 26, 0, 0 ], [ 26, 1, 6 ], [ 26, 2, 9 ], [ 26, 3, 56 ], [ 26, 4, 57 ], [ 26, 5, 58 ], [ 26, 6, 16 ], [ 26, 7, 22 ], [ 26, 8, 23 ], [ 26, 9, 42 ], [ 26, 10, 40 ], [ 26, 11, 39 ], [ 26, 12, 42 ], [ 26, 13, 56 ], [ 26, 14, 16 ], [ 26, 15, 9 ], [ 26, 16, 23 ], [ 26, 17, 22 ], [ 26, 18, 0 ], [ 26, 19, 39 ], [ 26, 20, 40 ], [ 26, 21, 6 ], [ 26, 22, 57 ], [ 26, 23, 58 ], [ 26, 24, 22 ], [ 26, 25, 40 ], [ 26, 26, 0 ], [ 26, 27, 57 ], [ 26, 28, 42 ], [ 26, 29, 39 ], [ 26, 30, 58 ], [ 26, 31, 9 ], [ 26, 32, 6 ], [ 26, 33, 56 ], [ 26, 34, 23 ], [ 26, 35, 16 ], [ 26, 36, 39 ], [ 26, 37, 6 ], [ 26, 38, 57 ], [ 26, 39, 23 ], [ 26, 40, 58 ], [ 26, 41, 56 ], [ 26, 42, 16 ], [ 26, 43, 40 ], [ 26, 44, 42 ], [ 26, 45, 22 ], [ 26, 46, 0 ], [ 26, 47, 9 ], [ 26, 48, 58 ], [ 26, 49, 23 ], [ 26, 50, 9 ], [ 26, 51, 40 ], [ 26, 52, 16 ], [ 26, 53, 22 ], [ 26, 54, 39 ], [ 26, 55, 6 ], [ 26, 56, 0 ], [ 26, 57, 42 ], [ 26, 58, 57 ], [ 26, 59, 56 ], [ 27, 0, 0 ], [ 27, 1, 53 ], [ 27, 2, 41 ], [ 27, 3, 15 ], [ 27, 4, 57 ], [ 27, 5, 45 ], [ 27, 6, 16 ], [ 27, 7, 7 ], [ 27, 8, 36 ], [ 27, 9, 17 ], [ 27, 10, 10 ], [ 27, 11, 48 ], [ 27, 12, 24 ], [ 27, 13, 35 ], [ 27, 14, 32 ], [ 27, 15, 15 ], [ 27, 16, 45 ], [ 27, 17, 57 ], [ 27, 18, 16 ], [ 27, 19, 36 ], [ 27, 20, 7 ], [ 27, 21, 17 ], [ 27, 22, 48 ], [ 27, 23, 10 ], [ 27, 24, 24 ], [ 27, 25, 32 ], [ 27, 26, 35 ], [ 27, 27, 0 ], [ 27, 28, 41 ], [ 27, 29, 53 ], [ 27, 30, 7 ], [ 27, 31, 36 ], [ 27, 32, 16 ], [ 27, 33, 10 ], [ 27, 34, 48 ], [ 27, 35, 17 ], [ 27, 36, 35 ], [ 27, 37, 32 ], [ 27, 38, 24 ], [ 27, 39, 53 ], [ 27, 40, 41 ], [ 27, 41, 0 ], [ 27, 42, 57 ], [ 27, 43, 45 ], [ 27, 44, 15 ], [ 27, 45, 48 ], [ 27, 46, 10 ], [ 27, 47, 17 ], [ 27, 48, 32 ], [ 27, 49, 35 ], [ 27, 50, 24 ], [ 27, 51, 41 ], [ 27, 52, 53 ], [ 27, 53, 0 ], [ 27, 54, 45 ], [ 27, 55, 57 ], [ 27, 56, 15 ], [ 27, 57, 36 ], [ 27, 58, 7 ], [ 27, 59, 16 ], [ 28, 0, 0 ], [ 28, 1, 53 ], [ 28, 2, 41 ], [ 28, 3, 56 ], [ 28, 4, 13 ], [ 28, 5, 1 ], [ 28, 6, 43 ], [ 28, 7, 52 ], [ 28, 8, 23 ], [ 28, 9, 4 ], [ 28, 10, 19 ], [ 28, 11, 39 ], [ 28, 12, 34 ], [ 28, 13, 30 ], [ 28, 14, 25 ], [ 28, 15, 13 ], [ 28, 16, 35 ], [ 28, 17, 56 ], [ 28, 18, 23 ], [ 28, 19, 43 ], [ 28, 20, 32 ], [ 28, 21, 19 ], [ 28, 22, 24 ], [ 28, 23, 4 ], [ 28, 24, 30 ], [ 28, 25, 29 ], [ 28, 26, 34 ], [ 28, 27, 41 ], [ 28, 28, 0 ], [ 28, 29, 27 ], [ 28, 30, 43 ], [ 28, 31, 32 ], [ 28, 32, 52 ], [ 28, 33, 39 ], [ 28, 34, 19 ], [ 28, 35, 24 ], [ 28, 36, 25 ], [ 28, 37, 30 ], [ 28, 38, 29 ], [ 28, 39, 0 ], [ 28, 40, 27 ], [ 28, 41, 53 ], [ 28, 42, 1 ], [ 28, 43, 13 ], [ 28, 44, 35 ], [ 28, 45, 4 ], [ 28, 46, 24 ], [ 28, 47, 39 ], [ 28, 48, 34 ], [ 28, 49, 29 ], [ 28, 50, 25 ], [ 28, 51, 53 ], [ 28, 52, 41 ], [ 28, 53, 27 ], [ 28, 54, 56 ], [ 28, 55, 35 ], [ 28, 56, 1 ], [ 28, 57, 52 ], [ 28, 58, 23 ], [ 28, 59, 32 ], [ 29, 0, 0 ], [ 29, 1, 53 ], [ 29, 2, 41 ], [ 29, 3, 44 ], [ 29, 4, 2 ], [ 29, 5, 14 ], [ 29, 6, 5 ], [ 29, 7, 22 ], [ 29, 8, 51 ], [ 29, 9, 55 ], [ 29, 10, 40 ], [ 29, 11, 20 ], [ 29, 12, 31 ], [ 29, 13, 26 ], [ 29, 14, 33 ], [ 29, 15, 14 ], [ 29, 16, 44 ], [ 29, 17, 32 ], [ 29, 18, 22 ], [ 29, 19, 24 ], [ 29, 20, 5 ], [ 29, 21, 20 ], [ 29, 22, 55 ], [ 29, 23, 35 ], [ 29, 24, 33 ], [ 29, 25, 31 ], [ 29, 26, 28 ], [ 29, 27, 53 ], [ 29, 28, 27 ], [ 29, 29, 0 ], [ 29, 30, 51 ], [ 29, 31, 22 ], [ 29, 32, 24 ], [ 29, 33, 55 ], [ 29, 34, 35 ], [ 29, 35, 40 ], [ 29, 36, 31 ], [ 29, 37, 28 ], [ 29, 38, 26 ], [ 29, 39, 41 ], [ 29, 40, 53 ], [ 29, 41, 27 ], [ 29, 42, 44 ], [ 29, 43, 32 ], [ 29, 44, 2 ], [ 29, 45, 40 ], [ 29, 46, 20 ], [ 29, 47, 35 ], [ 29, 48, 26 ], [ 29, 49, 33 ], [ 29, 50, 28 ], [ 29, 51, 0 ], [ 29, 52, 27 ], [ 29, 53, 41 ], [ 29, 54, 2 ], [ 29, 55, 14 ], [ 29, 56, 32 ], [ 29, 57, 5 ], [ 29, 58, 24 ], [ 29, 59, 51 ], [ 30, 0, 0 ], [ 30, 1, 21 ], [ 30, 2, 50 ], [ 30, 3, 44 ], [ 30, 4, 13 ], [ 30, 5, 58 ], [ 30, 6, 43 ], [ 30, 7, 7 ], [ 30, 8, 51 ], [ 30, 9, 42 ], [ 30, 10, 10 ], [ 30, 11, 20 ], [ 30, 12, 50 ], [ 30, 13, 0 ], [ 30, 14, 21 ], [ 30, 15, 43 ], [ 30, 16, 29 ], [ 30, 17, 10 ], [ 30, 18, 42 ], [ 30, 19, 13 ], [ 30, 20, 34 ], [ 30, 21, 44 ], [ 30, 22, 25 ], [ 30, 23, 51 ], [ 30, 24, 13 ], [ 30, 25, 58 ], [ 30, 26, 44 ], [ 30, 27, 10 ], [ 30, 28, 43 ], [ 30, 29, 29 ], [ 30, 30, 0 ], [ 30, 31, 25 ], [ 30, 32, 20 ], [ 30, 33, 7 ], [ 30, 34, 50 ], [ 30, 35, 34 ], [ 30, 36, 51 ], [ 30, 37, 43 ], [ 30, 38, 7 ], [ 30, 39, 13 ], [ 30, 40, 34 ], [ 30, 41, 42 ], [ 30, 42, 20 ], [ 30, 43, 0 ], [ 30, 44, 25 ], [ 30, 45, 21 ], [ 30, 46, 29 ], [ 30, 47, 58 ], [ 30, 48, 10 ], [ 30, 49, 20 ], [ 30, 50, 42 ], [ 30, 51, 51 ], [ 30, 52, 44 ], [ 30, 53, 25 ], [ 30, 54, 50 ], [ 30, 55, 34 ], [ 30, 56, 7 ], [ 30, 57, 58 ], [ 30, 58, 21 ], [ 30, 59, 29 ], [ 31, 0, 0 ], [ 31, 1, 21 ], [ 31, 2, 50 ], [ 31, 3, 56 ], [ 31, 4, 2 ], [ 31, 5, 45 ], [ 31, 6, 5 ], [ 31, 7, 37 ], [ 31, 8, 23 ], [ 31, 9, 17 ], [ 31, 10, 49 ], [ 31, 11, 39 ], [ 31, 12, 23 ], [ 31, 13, 49 ], [ 31, 14, 2 ], [ 31, 15, 37 ], [ 31, 16, 5 ], [ 31, 17, 21 ], [ 31, 18, 39 ], [ 31, 19, 50 ], [ 31, 20, 17 ], [ 31, 21, 45 ], [ 31, 22, 56 ], [ 31, 23, 0 ], [ 31, 24, 39 ], [ 31, 25, 50 ], [ 31, 26, 5 ], [ 31, 27, 17 ], [ 31, 28, 45 ], [ 31, 29, 49 ], [ 31, 30, 21 ], [ 31, 31, 0 ], [ 31, 32, 56 ], [ 31, 33, 23 ], [ 31, 34, 2 ], [ 31, 35, 37 ], [ 31, 36, 45 ], [ 31, 37, 17 ], [ 31, 38, 0 ], [ 31, 39, 56 ], [ 31, 40, 2 ], [ 31, 41, 37 ], [ 31, 42, 49 ], [ 31, 43, 23 ], [ 31, 44, 39 ], [ 31, 45, 50 ], [ 31, 46, 21 ], [ 31, 47, 5 ], [ 31, 48, 37 ], [ 31, 49, 21 ], [ 31, 50, 56 ], [ 31, 51, 5 ], [ 31, 52, 39 ], [ 31, 53, 23 ], [ 31, 54, 0 ], [ 31, 55, 50 ], [ 31, 56, 17 ], [ 31, 57, 2 ], [ 31, 58, 49 ], [ 31, 59, 45 ], [ 32, 0, 0 ], [ 32, 1, 21 ], [ 32, 2, 50 ], [ 32, 3, 15 ], [ 32, 4, 46 ], [ 32, 5, 1 ], [ 32, 6, 54 ], [ 32, 7, 22 ], [ 32, 8, 36 ], [ 32, 9, 4 ], [ 32, 10, 40 ], [ 32, 11, 48 ], [ 32, 12, 1 ], [ 32, 13, 22 ], [ 32, 14, 48 ], [ 32, 15, 36 ], [ 32, 16, 0 ], [ 32, 17, 54 ], [ 32, 18, 40 ], [ 32, 19, 4 ], [ 32, 20, 21 ], [ 32, 21, 46 ], [ 32, 22, 50 ], [ 32, 23, 15 ], [ 32, 24, 21 ], [ 32, 25, 36 ], [ 32, 26, 4 ], [ 32, 27, 48 ], [ 32, 28, 40 ], [ 32, 29, 15 ], [ 32, 30, 50 ], [ 32, 31, 46 ], [ 32, 32, 0 ], [ 32, 33, 54 ], [ 32, 34, 22 ], [ 32, 35, 1 ], [ 32, 36, 50 ], [ 32, 37, 15 ], [ 32, 38, 40 ], [ 32, 39, 1 ], [ 32, 40, 54 ], [ 32, 41, 46 ], [ 32, 42, 4 ], [ 32, 43, 48 ], [ 32, 44, 22 ], [ 32, 45, 0 ], [ 32, 46, 36 ], [ 32, 47, 21 ], [ 32, 48, 0 ], [ 32, 49, 46 ], [ 32, 50, 54 ], [ 32, 51, 22 ], [ 32, 52, 36 ], [ 32, 53, 4 ], [ 32, 54, 21 ], [ 32, 55, 40 ], [ 32, 56, 50 ], [ 32, 57, 15 ], [ 32, 58, 1 ], [ 32, 59, 48 ], [ 33, 0, 0 ], [ 33, 1, 38 ], [ 33, 2, 18 ], [ 33, 3, 56 ], [ 33, 4, 46 ], [ 33, 5, 14 ], [ 33, 6, 54 ], [ 33, 7, 7 ], [ 33, 8, 23 ], [ 33, 9, 55 ], [ 33, 10, 10 ], [ 33, 11, 39 ], [ 33, 12, 38 ], [ 33, 13, 18 ], [ 33, 14, 0 ], [ 33, 15, 55 ], [ 33, 16, 7 ], [ 33, 17, 28 ], [ 33, 18, 56 ], [ 33, 19, 26 ], [ 33, 20, 39 ], [ 33, 21, 54 ], [ 33, 22, 14 ], [ 33, 23, 31 ], [ 33, 24, 14 ], [ 33, 25, 56 ], [ 33, 26, 46 ], [ 33, 27, 7 ], [ 33, 28, 28 ], [ 33, 29, 55 ], [ 33, 30, 10 ], [ 33, 31, 38 ], [ 33, 32, 31 ], [ 33, 33, 0 ], [ 33, 34, 26 ], [ 33, 35, 23 ], [ 33, 36, 7 ], [ 33, 37, 23 ], [ 33, 38, 54 ], [ 33, 39, 39 ], [ 33, 40, 56 ], [ 33, 41, 26 ], [ 33, 42, 38 ], [ 33, 43, 31 ], [ 33, 44, 10 ], [ 33, 45, 46 ], [ 33, 46, 18 ], [ 33, 47, 28 ], [ 33, 48, 39 ], [ 33, 49, 55 ], [ 33, 50, 10 ], [ 33, 51, 14 ], [ 33, 52, 31 ], [ 33, 53, 54 ], [ 33, 54, 23 ], [ 33, 55, 0 ], [ 33, 56, 26 ], [ 33, 57, 18 ], [ 33, 58, 28 ], [ 33, 59, 46 ], [ 34, 0, 0 ], [ 34, 1, 38 ], [ 34, 2, 18 ], [ 34, 3, 44 ], [ 34, 4, 57 ], [ 34, 5, 1 ], [ 34, 6, 16 ], [ 34, 7, 37 ], [ 34, 8, 51 ], [ 34, 9, 4 ], [ 34, 10, 49 ], [ 34, 11, 20 ], [ 34, 12, 20 ], [ 34, 13, 1 ], [ 34, 14, 37 ], [ 34, 15, 49 ], [ 34, 16, 18 ], [ 34, 17, 4 ], [ 34, 18, 57 ], [ 34, 19, 44 ], [ 34, 20, 0 ], [ 34, 21, 51 ], [ 34, 22, 38 ], [ 34, 23, 16 ], [ 34, 24, 51 ], [ 34, 25, 4 ], [ 34, 26, 38 ], [ 34, 27, 16 ], [ 34, 28, 37 ], [ 34, 29, 57 ], [ 34, 30, 20 ], [ 34, 31, 1 ], [ 34, 32, 49 ], [ 34, 33, 18 ], [ 34, 34, 0 ], [ 34, 35, 44 ], [ 34, 36, 49 ], [ 34, 37, 18 ], [ 34, 38, 44 ], [ 34, 39, 4 ], [ 34, 40, 51 ], [ 34, 41, 20 ], [ 34, 42, 0 ], [ 34, 43, 38 ], [ 34, 44, 16 ], [ 34, 45, 1 ], [ 34, 46, 37 ], [ 34, 47, 57 ], [ 34, 48, 57 ], [ 34, 49, 16 ], [ 34, 50, 0 ], [ 34, 51, 44 ], [ 34, 52, 1 ], [ 34, 53, 49 ], [ 34, 54, 37 ], [ 34, 55, 20 ], [ 34, 56, 51 ], [ 34, 57, 38 ], [ 34, 58, 18 ], [ 34, 59, 4 ], [ 35, 0, 0 ], [ 35, 1, 38 ], [ 35, 2, 18 ], [ 35, 3, 15 ], [ 35, 4, 2 ], [ 35, 5, 58 ], [ 35, 6, 5 ], [ 35, 7, 52 ], [ 35, 8, 36 ], [ 35, 9, 42 ], [ 35, 10, 19 ], [ 35, 11, 48 ], [ 35, 12, 2 ], [ 35, 13, 36 ], [ 35, 14, 19 ], [ 35, 15, 48 ], [ 35, 16, 42 ], [ 35, 17, 0 ], [ 35, 18, 58 ], [ 35, 19, 38 ], [ 35, 20, 15 ], [ 35, 21, 52 ], [ 35, 22, 5 ], [ 35, 23, 18 ], [ 35, 24, 18 ], [ 35, 25, 5 ], [ 35, 26, 48 ], [ 35, 27, 36 ], [ 35, 28, 15 ], [ 35, 29, 52 ], [ 35, 30, 42 ], [ 35, 31, 19 ], [ 35, 32, 2 ], [ 35, 33, 38 ], [ 35, 34, 58 ], [ 35, 35, 0 ], [ 35, 36, 0 ], [ 35, 37, 58 ], [ 35, 38, 42 ], [ 35, 39, 19 ], [ 35, 40, 48 ], [ 35, 41, 5 ], [ 35, 42, 18 ], [ 35, 43, 52 ], [ 35, 44, 38 ], [ 35, 45, 15 ], [ 35, 46, 2 ], [ 35, 47, 36 ], [ 35, 48, 38 ], [ 35, 49, 15 ], [ 35, 50, 52 ], [ 35, 51, 2 ], [ 35, 52, 42 ], [ 35, 53, 58 ], [ 35, 54, 5 ], [ 35, 55, 36 ], [ 35, 56, 19 ], [ 35, 57, 0 ], [ 35, 58, 48 ], [ 35, 59, 18 ], [ 36, 0, 0 ], [ 36, 1, 10 ], [ 36, 2, 4 ], [ 36, 3, 21 ], [ 36, 4, 20 ], [ 36, 5, 22 ], [ 36, 6, 56 ], [ 36, 7, 54 ], [ 36, 8, 57 ], [ 36, 9, 29 ], [ 36, 10, 32 ], [ 36, 11, 28 ], [ 36, 12, 20 ], [ 36, 13, 57 ], [ 36, 14, 32 ], [ 36, 15, 28 ], [ 36, 16, 29 ], [ 36, 17, 0 ], [ 36, 18, 22 ], [ 36, 19, 10 ], [ 36, 20, 21 ], [ 36, 21, 54 ], [ 36, 22, 56 ], [ 36, 23, 4 ], [ 36, 24, 4 ], [ 36, 25, 56 ], [ 36, 26, 28 ], [ 36, 27, 57 ], [ 36, 28, 21 ], [ 36, 29, 54 ], [ 36, 30, 29 ], [ 36, 31, 32 ], [ 36, 32, 20 ], [ 36, 33, 10 ], [ 36, 34, 22 ], [ 36, 35, 0 ], [ 36, 36, 0 ], [ 36, 37, 22 ], [ 36, 38, 29 ], [ 36, 39, 32 ], [ 36, 40, 28 ], [ 36, 41, 56 ], [ 36, 42, 4 ], [ 36, 43, 54 ], [ 36, 44, 10 ], [ 36, 45, 21 ], [ 36, 46, 20 ], [ 36, 47, 57 ], [ 36, 48, 10 ], [ 36, 49, 21 ], [ 36, 50, 54 ], [ 36, 51, 20 ], [ 36, 52, 29 ], [ 36, 53, 22 ], [ 36, 54, 56 ], [ 36, 55, 57 ], [ 36, 56, 32 ], [ 36, 57, 0 ], [ 36, 58, 28 ], [ 36, 59, 4 ], [ 37, 0, 0 ], [ 37, 1, 10 ], [ 37, 2, 4 ], [ 37, 3, 26 ], [ 37, 4, 30 ], [ 37, 5, 24 ], [ 37, 6, 13 ], [ 37, 7, 12 ], [ 37, 8, 19 ], [ 37, 9, 49 ], [ 37, 10, 59 ], [ 37, 11, 50 ], [ 37, 12, 59 ], [ 37, 13, 30 ], [ 37, 14, 19 ], [ 37, 15, 43 ], [ 37, 16, 44 ], [ 37, 17, 4 ], [ 37, 18, 40 ], [ 37, 19, 0 ], [ 37, 20, 39 ], [ 37, 21, 45 ], [ 37, 22, 47 ], [ 37, 23, 10 ], [ 37, 24, 13 ], [ 37, 25, 50 ], [ 37, 26, 4 ], [ 37, 27, 45 ], [ 37, 28, 30 ], [ 37, 29, 39 ], [ 37, 30, 43 ], [ 37, 31, 36 ], [ 37, 32, 24 ], [ 37, 33, 38 ], [ 37, 34, 26 ], [ 37, 35, 44 ], [ 37, 36, 49 ], [ 37, 37, 0 ], [ 37, 38, 24 ], [ 37, 39, 43 ], [ 37, 40, 47 ], [ 37, 41, 19 ], [ 37, 42, 38 ], [ 37, 43, 13 ], [ 37, 44, 39 ], [ 37, 45, 40 ], [ 37, 46, 36 ], [ 37, 47, 12 ], [ 37, 48, 26 ], [ 37, 49, 12 ], [ 37, 50, 10 ], [ 37, 51, 40 ], [ 37, 52, 59 ], [ 37, 53, 44 ], [ 37, 54, 45 ], [ 37, 55, 36 ], [ 37, 56, 50 ], [ 37, 57, 38 ], [ 37, 58, 49 ], [ 37, 59, 47 ], [ 38, 0, 0 ], [ 38, 1, 10 ], [ 38, 2, 4 ], [ 38, 3, 52 ], [ 38, 4, 58 ], [ 38, 5, 51 ], [ 38, 6, 35 ], [ 38, 7, 34 ], [ 38, 8, 31 ], [ 38, 9, 15 ], [ 38, 10, 18 ], [ 38, 11, 16 ], [ 38, 12, 31 ], [ 38, 13, 18 ], [ 38, 14, 58 ], [ 38, 15, 34 ], [ 38, 16, 35 ], [ 38, 17, 10 ], [ 38, 18, 16 ], [ 38, 19, 4 ], [ 38, 20, 15 ], [ 38, 21, 51 ], [ 38, 22, 52 ], [ 38, 23, 0 ], [ 38, 24, 16 ], [ 38, 25, 4 ], [ 38, 26, 35 ], [ 38, 27, 15 ], [ 38, 28, 51 ], [ 38, 29, 18 ], [ 38, 30, 10 ], [ 38, 31, 0 ], [ 38, 32, 52 ], [ 38, 33, 31 ], [ 38, 34, 58 ], [ 38, 35, 34 ], [ 38, 36, 51 ], [ 38, 37, 15 ], [ 38, 38, 0 ], [ 38, 39, 52 ], [ 38, 40, 58 ], [ 38, 41, 34 ], [ 38, 42, 18 ], [ 38, 43, 31 ], [ 38, 44, 16 ], [ 38, 45, 4 ], [ 38, 46, 10 ], [ 38, 47, 35 ], [ 38, 48, 34 ], [ 38, 49, 10 ], [ 38, 50, 52 ], [ 38, 51, 35 ], [ 38, 52, 16 ], [ 38, 53, 31 ], [ 38, 54, 0 ], [ 38, 55, 4 ], [ 38, 56, 15 ], [ 38, 57, 58 ], [ 38, 58, 18 ], [ 38, 59, 51 ], [ 39, 0, 0 ], [ 39, 1, 27 ], [ 39, 2, 53 ], [ 39, 3, 21 ], [ 39, 4, 30 ], [ 39, 5, 51 ], [ 39, 6, 13 ], [ 39, 7, 2 ], [ 39, 8, 57 ], [ 39, 9, 15 ], [ 39, 10, 6 ], [ 39, 11, 28 ], [ 39, 12, 38 ], [ 39, 13, 43 ], [ 39, 14, 45 ], [ 39, 15, 30 ], [ 39, 16, 42 ], [ 39, 17, 21 ], [ 39, 18, 57 ], [ 39, 19, 13 ], [ 39, 20, 46 ], [ 39, 21, 6 ], [ 39, 22, 37 ], [ 39, 23, 15 ], [ 39, 24, 43 ], [ 39, 25, 40 ], [ 39, 26, 38 ], [ 39, 27, 53 ], [ 39, 28, 0 ], [ 39, 29, 41 ], [ 39, 30, 13 ], [ 39, 31, 46 ], [ 39, 32, 2 ], [ 39, 33, 28 ], [ 39, 34, 6 ], [ 39, 35, 37 ], [ 39, 36, 45 ], [ 39, 37, 43 ], [ 39, 38, 40 ], [ 39, 39, 0 ], [ 39, 40, 41 ], [ 39, 41, 27 ], [ 39, 42, 51 ], [ 39, 43, 30 ], [ 39, 44, 42 ], [ 39, 45, 15 ], [ 39, 46, 37 ], [ 39, 47, 28 ], [ 39, 48, 38 ], [ 39, 49, 40 ], [ 39, 50, 45 ], [ 39, 51, 27 ], [ 39, 52, 53 ], [ 39, 53, 41 ], [ 39, 54, 21 ], [ 39, 55, 42 ], [ 39, 56, 51 ], [ 39, 57, 2 ], [ 39, 58, 57 ], [ 39, 59, 46 ], [ 40, 0, 0 ], [ 40, 1, 27 ], [ 40, 2, 53 ], [ 40, 3, 52 ], [ 40, 4, 7 ], [ 40, 5, 22 ], [ 40, 6, 1 ], [ 40, 7, 12 ], [ 40, 8, 31 ], [ 40, 9, 29 ], [ 40, 10, 59 ], [ 40, 11, 16 ], [ 40, 12, 47 ], [ 40, 13, 36 ], [ 40, 14, 44 ], [ 40, 15, 37 ], [ 40, 16, 7 ], [ 40, 17, 22 ], [ 40, 18, 42 ], [ 40, 19, 12 ], [ 40, 20, 31 ], [ 40, 21, 46 ], [ 40, 22, 59 ], [ 40, 23, 16 ], [ 40, 24, 39 ], [ 40, 25, 36 ], [ 40, 26, 44 ], [ 40, 27, 41 ], [ 40, 28, 27 ], [ 40, 29, 53 ], [ 40, 30, 42 ], [ 40, 31, 1 ], [ 40, 32, 31 ], [ 40, 33, 46 ], [ 40, 34, 29 ], [ 40, 35, 16 ], [ 40, 36, 39 ], [ 40, 37, 47 ], [ 40, 38, 44 ], [ 40, 39, 41 ], [ 40, 40, 0 ], [ 40, 41, 53 ], [ 40, 42, 37 ], [ 40, 43, 52 ], [ 40, 44, 22 ], [ 40, 45, 46 ], [ 40, 46, 29 ], [ 40, 47, 59 ], [ 40, 48, 39 ], [ 40, 49, 47 ], [ 40, 50, 36 ], [ 40, 51, 41 ], [ 40, 52, 0 ], [ 40, 53, 27 ], [ 40, 54, 37 ], [ 40, 55, 52 ], [ 40, 56, 7 ], [ 40, 57, 42 ], [ 40, 58, 1 ], [ 40, 59, 12 ], [ 41, 0, 0 ], [ 41, 1, 27 ], [ 41, 2, 53 ], [ 41, 3, 26 ], [ 41, 4, 20 ], [ 41, 5, 5 ], [ 41, 6, 56 ], [ 41, 7, 34 ], [ 41, 8, 19 ], [ 41, 9, 9 ], [ 41, 10, 18 ], [ 41, 11, 50 ], [ 41, 12, 42 ], [ 41, 13, 46 ], [ 41, 14, 37 ], [ 41, 15, 26 ], [ 41, 16, 5 ], [ 41, 17, 20 ], [ 41, 18, 56 ], [ 41, 19, 19 ], [ 41, 20, 34 ], [ 41, 21, 9 ], [ 41, 22, 50 ], [ 41, 23, 18 ], [ 41, 24, 42 ], [ 41, 25, 37 ], [ 41, 26, 46 ], [ 41, 27, 0 ], [ 41, 28, 53 ], [ 41, 29, 27 ], [ 41, 30, 34 ], [ 41, 31, 19 ], [ 41, 32, 56 ], [ 41, 33, 18 ], [ 41, 34, 50 ], [ 41, 35, 9 ], [ 41, 36, 46 ], [ 41, 37, 37 ], [ 41, 38, 42 ], [ 41, 39, 27 ], [ 41, 40, 53 ], [ 41, 41, 0 ], [ 41, 42, 20 ], [ 41, 43, 5 ], [ 41, 44, 26 ], [ 41, 45, 50 ], [ 41, 46, 18 ], [ 41, 47, 9 ], [ 41, 48, 37 ], [ 41, 49, 46 ], [ 41, 50, 42 ], [ 41, 51, 53 ], [ 41, 52, 27 ], [ 41, 53, 0 ], [ 41, 54, 5 ], [ 41, 55, 20 ], [ 41, 56, 26 ], [ 41, 57, 19 ], [ 41, 58, 34 ], [ 41, 59, 56 ], [ 42, 0, 0 ], [ 42, 1, 48 ], [ 42, 2, 23 ], [ 42, 3, 26 ], [ 42, 4, 58 ], [ 42, 5, 22 ], [ 42, 6, 35 ], [ 42, 7, 2 ], [ 42, 8, 19 ], [ 42, 9, 29 ], [ 42, 10, 6 ], [ 42, 11, 50 ], [ 42, 12, 50 ], [ 42, 13, 22 ], [ 42, 14, 2 ], [ 42, 15, 6 ], [ 42, 16, 23 ], [ 42, 17, 29 ], [ 42, 18, 58 ], [ 42, 19, 26 ], [ 42, 20, 0 ], [ 42, 21, 19 ], [ 42, 22, 48 ], [ 42, 23, 35 ], [ 42, 24, 19 ], [ 42, 25, 29 ], [ 42, 26, 48 ], [ 42, 27, 35 ], [ 42, 28, 2 ], [ 42, 29, 58 ], [ 42, 30, 50 ], [ 42, 31, 22 ], [ 42, 32, 6 ], [ 42, 33, 23 ], [ 42, 34, 0 ], [ 42, 35, 26 ], [ 42, 36, 6 ], [ 42, 37, 23 ], [ 42, 38, 26 ], [ 42, 39, 29 ], [ 42, 40, 19 ], [ 42, 41, 50 ], [ 42, 42, 0 ], [ 42, 43, 48 ], [ 42, 44, 35 ], [ 42, 45, 22 ], [ 42, 46, 2 ], [ 42, 47, 58 ], [ 42, 48, 58 ], [ 42, 49, 35 ], [ 42, 50, 0 ], [ 42, 51, 26 ], [ 42, 52, 22 ], [ 42, 53, 6 ], [ 42, 54, 2 ], [ 42, 55, 50 ], [ 42, 56, 19 ], [ 42, 57, 48 ], [ 42, 58, 23 ], [ 42, 59, 29 ], [ 43, 0, 0 ], [ 43, 1, 48 ], [ 43, 2, 23 ], [ 43, 3, 52 ], [ 43, 4, 30 ], [ 43, 5, 5 ], [ 43, 6, 13 ], [ 43, 7, 54 ], [ 43, 8, 31 ], [ 43, 9, 9 ], [ 43, 10, 32 ], [ 43, 11, 16 ], [ 43, 12, 23 ], [ 43, 13, 0 ], [ 43, 14, 48 ], [ 43, 15, 13 ], [ 43, 16, 45 ], [ 43, 17, 32 ], [ 43, 18, 9 ], [ 43, 19, 30 ], [ 43, 20, 40 ], [ 43, 21, 52 ], [ 43, 22, 38 ], [ 43, 23, 31 ], [ 43, 24, 30 ], [ 43, 25, 5 ], [ 43, 26, 52 ], [ 43, 27, 32 ], [ 43, 28, 13 ], [ 43, 29, 45 ], [ 43, 30, 0 ], [ 43, 31, 38 ], [ 43, 32, 16 ], [ 43, 33, 54 ], [ 43, 34, 23 ], [ 43, 35, 40 ], [ 43, 36, 31 ], [ 43, 37, 13 ], [ 43, 38, 54 ], [ 43, 39, 30 ], [ 43, 40, 40 ], [ 43, 41, 9 ], [ 43, 42, 16 ], [ 43, 43, 0 ], [ 43, 44, 38 ], [ 43, 45, 48 ], [ 43, 46, 45 ], [ 43, 47, 5 ], [ 43, 48, 32 ], [ 43, 49, 16 ], [ 43, 50, 9 ], [ 43, 51, 31 ], [ 43, 52, 52 ], [ 43, 53, 38 ], [ 43, 54, 23 ], [ 43, 55, 40 ], [ 43, 56, 54 ], [ 43, 57, 5 ], [ 43, 58, 48 ], [ 43, 59, 45 ], [ 44, 0, 0 ], [ 44, 1, 48 ], [ 44, 2, 23 ], [ 44, 3, 21 ], [ 44, 4, 7 ], [ 44, 5, 24 ], [ 44, 6, 1 ], [ 44, 7, 34 ], [ 44, 8, 57 ], [ 44, 9, 49 ], [ 44, 10, 18 ], [ 44, 11, 28 ], [ 44, 12, 1 ], [ 44, 13, 49 ], [ 44, 14, 21 ], [ 44, 15, 48 ], [ 44, 16, 18 ], [ 44, 17, 28 ], [ 44, 18, 23 ], [ 44, 19, 24 ], [ 44, 20, 7 ], [ 44, 21, 0 ], [ 44, 22, 57 ], [ 44, 23, 34 ], [ 44, 24, 18 ], [ 44, 25, 0 ], [ 44, 26, 34 ], [ 44, 27, 24 ], [ 44, 28, 57 ], [ 44, 29, 1 ], [ 44, 30, 21 ], [ 44, 31, 28 ], [ 44, 32, 49 ], [ 44, 33, 7 ], [ 44, 34, 48 ], [ 44, 35, 23 ], [ 44, 36, 7 ], [ 44, 37, 28 ], [ 44, 38, 48 ], [ 44, 39, 34 ], [ 44, 40, 49 ], [ 44, 41, 18 ], [ 44, 42, 57 ], [ 44, 43, 23 ], [ 44, 44, 0 ], [ 44, 45, 1 ], [ 44, 46, 24 ], [ 44, 47, 21 ], [ 44, 48, 57 ], [ 44, 49, 23 ], [ 44, 50, 24 ], [ 44, 51, 28 ], [ 44, 52, 7 ], [ 44, 53, 21 ], [ 44, 54, 49 ], [ 44, 55, 34 ], [ 44, 56, 1 ], [ 44, 57, 18 ], [ 44, 58, 0 ], [ 44, 59, 48 ], [ 45, 0, 0 ], [ 45, 1, 17 ], [ 45, 2, 25 ], [ 45, 3, 52 ], [ 45, 4, 20 ], [ 45, 5, 24 ], [ 45, 6, 56 ], [ 45, 7, 2 ], [ 45, 8, 31 ], [ 45, 9, 49 ], [ 45, 10, 6 ], [ 45, 11, 16 ], [ 45, 12, 24 ], [ 45, 13, 2 ], [ 45, 14, 16 ], [ 45, 15, 31 ], [ 45, 16, 0 ], [ 45, 17, 56 ], [ 45, 18, 6 ], [ 45, 19, 49 ], [ 45, 20, 17 ], [ 45, 21, 20 ], [ 45, 22, 25 ], [ 45, 23, 52 ], [ 45, 24, 17 ], [ 45, 25, 31 ], [ 45, 26, 49 ], [ 45, 27, 16 ], [ 45, 28, 6 ], [ 45, 29, 52 ], [ 45, 30, 25 ], [ 45, 31, 20 ], [ 45, 32, 0 ], [ 45, 33, 56 ], [ 45, 34, 2 ], [ 45, 35, 24 ], [ 45, 36, 25 ], [ 45, 37, 52 ], [ 45, 38, 6 ], [ 45, 39, 24 ], [ 45, 40, 56 ], [ 45, 41, 20 ], [ 45, 42, 49 ], [ 45, 43, 16 ], [ 45, 44, 2 ], [ 45, 45, 0 ], [ 45, 46, 31 ], [ 45, 47, 17 ], [ 45, 48, 0 ], [ 45, 49, 20 ], [ 45, 50, 56 ], [ 45, 51, 2 ], [ 45, 52, 31 ], [ 45, 53, 49 ], [ 45, 54, 17 ], [ 45, 55, 6 ], [ 45, 56, 25 ], [ 45, 57, 52 ], [ 45, 58, 24 ], [ 45, 59, 16 ], [ 46, 0, 0 ], [ 46, 1, 17 ], [ 46, 2, 25 ], [ 46, 3, 26 ], [ 46, 4, 7 ], [ 46, 5, 51 ], [ 46, 6, 1 ], [ 46, 7, 54 ], [ 46, 8, 19 ], [ 46, 9, 15 ], [ 46, 10, 32 ], [ 46, 11, 50 ], [ 46, 12, 15 ], [ 46, 13, 26 ], [ 46, 14, 1 ], [ 46, 15, 25 ], [ 46, 16, 19 ], [ 46, 17, 54 ], [ 46, 18, 0 ], [ 46, 19, 50 ], [ 46, 20, 32 ], [ 46, 21, 17 ], [ 46, 22, 7 ], [ 46, 23, 51 ], [ 46, 24, 54 ], [ 46, 25, 32 ], [ 46, 26, 0 ], [ 46, 27, 7 ], [ 46, 28, 15 ], [ 46, 29, 50 ], [ 46, 30, 51 ], [ 46, 31, 25 ], [ 46, 32, 17 ], [ 46, 33, 26 ], [ 46, 34, 19 ], [ 46, 35, 1 ], [ 46, 36, 50 ], [ 46, 37, 17 ], [ 46, 38, 7 ], [ 46, 39, 19 ], [ 46, 40, 51 ], [ 46, 41, 26 ], [ 46, 42, 1 ], [ 46, 43, 32 ], [ 46, 44, 15 ], [ 46, 45, 54 ], [ 46, 46, 0 ], [ 46, 47, 25 ], [ 46, 48, 51 ], [ 46, 49, 19 ], [ 46, 50, 25 ], [ 46, 51, 32 ], [ 46, 52, 1 ], [ 46, 53, 54 ], [ 46, 54, 50 ], [ 46, 55, 17 ], [ 46, 56, 0 ], [ 46, 57, 15 ], [ 46, 58, 7 ], [ 46, 59, 26 ], [ 47, 0, 0 ], [ 47, 1, 17 ], [ 47, 2, 25 ], [ 47, 3, 21 ], [ 47, 4, 58 ], [ 47, 5, 5 ], [ 47, 6, 35 ], [ 47, 7, 12 ], [ 47, 8, 57 ], [ 47, 9, 9 ], [ 47, 10, 59 ], [ 47, 11, 28 ], [ 47, 12, 0 ], [ 47, 13, 17 ], [ 47, 14, 25 ], [ 47, 15, 36 ], [ 47, 16, 28 ], [ 47, 17, 57 ], [ 47, 18, 39 ], [ 47, 19, 59 ], [ 47, 20, 5 ], [ 47, 21, 44 ], [ 47, 22, 12 ], [ 47, 23, 58 ], [ 47, 24, 21 ], [ 47, 25, 58 ], [ 47, 26, 5 ], [ 47, 27, 36 ], [ 47, 28, 28 ], [ 47, 29, 57 ], [ 47, 30, 44 ], [ 47, 31, 9 ], [ 47, 32, 25 ], [ 47, 33, 39 ], [ 47, 34, 35 ], [ 47, 35, 17 ], [ 47, 36, 35 ], [ 47, 37, 12 ], [ 47, 38, 57 ], [ 47, 39, 39 ], [ 47, 40, 59 ], [ 47, 41, 5 ], [ 47, 42, 44 ], [ 47, 43, 9 ], [ 47, 44, 25 ], [ 47, 45, 36 ], [ 47, 46, 21 ], [ 47, 47, 0 ], [ 47, 48, 9 ], [ 47, 49, 59 ], [ 47, 50, 28 ], [ 47, 51, 44 ], [ 47, 52, 12 ], [ 47, 53, 58 ], [ 47, 54, 39 ], [ 47, 55, 35 ], [ 47, 56, 17 ], [ 47, 57, 36 ], [ 47, 58, 21 ], [ 47, 59, 0 ], [ 48, 0, 0 ], [ 48, 1, 5 ], [ 48, 2, 7 ], [ 48, 3, 18 ], [ 48, 4, 19 ], [ 48, 5, 23 ], [ 48, 6, 28 ], [ 48, 7, 35 ], [ 48, 8, 29 ], [ 48, 9, 44 ], [ 48, 10, 42 ], [ 48, 11, 45 ], [ 48, 12, 23 ], [ 48, 13, 35 ], [ 48, 14, 45 ], [ 48, 15, 29 ], [ 48, 16, 0 ], [ 48, 17, 28 ], [ 48, 18, 42 ], [ 48, 19, 44 ], [ 48, 20, 5 ], [ 48, 21, 19 ], [ 48, 22, 7 ], [ 48, 23, 18 ], [ 48, 24, 5 ], [ 48, 25, 29 ], [ 48, 26, 44 ], [ 48, 27, 45 ], [ 48, 28, 42 ], [ 48, 29, 18 ], [ 48, 30, 7 ], [ 48, 31, 19 ], [ 48, 32, 0 ], [ 48, 33, 28 ], [ 48, 34, 35 ], [ 48, 35, 23 ], [ 48, 36, 7 ], [ 48, 37, 18 ], [ 48, 38, 42 ], [ 48, 39, 23 ], [ 48, 40, 28 ], [ 48, 41, 19 ], [ 48, 42, 44 ], [ 48, 43, 45 ], [ 48, 44, 35 ], [ 48, 45, 0 ], [ 48, 46, 29 ], [ 48, 47, 5 ], [ 48, 48, 0 ], [ 48, 49, 19 ], [ 48, 50, 28 ], [ 48, 51, 35 ], [ 48, 52, 29 ], [ 48, 53, 44 ], [ 48, 54, 5 ], [ 48, 55, 42 ], [ 48, 56, 7 ], [ 48, 57, 18 ], [ 48, 58, 23 ], [ 48, 59, 45 ], [ 49, 0, 0 ], [ 49, 1, 5 ], [ 49, 2, 7 ], [ 49, 3, 25 ], [ 49, 4, 24 ], [ 49, 5, 33 ], [ 49, 6, 37 ], [ 49, 7, 47 ], [ 49, 8, 38 ], [ 49, 9, 14 ], [ 49, 10, 12 ], [ 49, 11, 22 ], [ 49, 12, 47 ], [ 49, 13, 22 ], [ 49, 14, 33 ], [ 49, 15, 55 ], [ 49, 16, 5 ], [ 49, 17, 56 ], [ 49, 18, 57 ], [ 49, 19, 59 ], [ 49, 20, 7 ], [ 49, 21, 52 ], [ 49, 22, 0 ], [ 49, 23, 51 ], [ 49, 24, 14 ], [ 49, 25, 5 ], [ 49, 26, 38 ], [ 49, 27, 57 ], [ 49, 28, 51 ], [ 49, 29, 33 ], [ 49, 30, 50 ], [ 49, 31, 25 ], [ 49, 32, 56 ], [ 49, 33, 55 ], [ 49, 34, 48 ], [ 49, 35, 24 ], [ 49, 36, 25 ], [ 49, 37, 12 ], [ 49, 38, 7 ], [ 49, 39, 52 ], [ 49, 40, 47 ], [ 49, 41, 56 ], [ 49, 42, 57 ], [ 49, 43, 48 ], [ 49, 44, 38 ], [ 49, 45, 50 ], [ 49, 46, 37 ], [ 49, 47, 59 ], [ 49, 48, 37 ], [ 49, 49, 0 ], [ 49, 50, 24 ], [ 49, 51, 55 ], [ 49, 52, 59 ], [ 49, 53, 22 ], [ 49, 54, 50 ], [ 49, 55, 14 ], [ 49, 56, 51 ], [ 49, 57, 52 ], [ 49, 58, 48 ], [ 49, 59, 12 ], [ 50, 0, 0 ], [ 50, 1, 5 ], [ 50, 2, 7 ], [ 50, 3, 40 ], [ 50, 4, 39 ], [ 50, 5, 46 ], [ 50, 6, 15 ], [ 50, 7, 21 ], [ 50, 8, 17 ], [ 50, 9, 32 ], [ 50, 10, 31 ], [ 50, 11, 34 ], [ 50, 12, 34 ], [ 50, 13, 46 ], [ 50, 14, 21 ], [ 50, 15, 31 ], [ 50, 16, 7 ], [ 50, 17, 32 ], [ 50, 18, 39 ], [ 50, 19, 40 ], [ 50, 20, 0 ], [ 50, 21, 17 ], [ 50, 22, 5 ], [ 50, 23, 15 ], [ 50, 24, 17 ], [ 50, 25, 32 ], [ 50, 26, 5 ], [ 50, 27, 15 ], [ 50, 28, 21 ], [ 50, 29, 39 ], [ 50, 30, 34 ], [ 50, 31, 46 ], [ 50, 32, 31 ], [ 50, 33, 7 ], [ 50, 34, 0 ], [ 50, 35, 40 ], [ 50, 36, 31 ], [ 50, 37, 7 ], [ 50, 38, 40 ], [ 50, 39, 32 ], [ 50, 40, 17 ], [ 50, 41, 34 ], [ 50, 42, 0 ], [ 50, 43, 5 ], [ 50, 44, 15 ], [ 50, 45, 46 ], [ 50, 46, 21 ], [ 50, 47, 39 ], [ 50, 48, 39 ], [ 50, 49, 15 ], [ 50, 50, 0 ], [ 50, 51, 40 ], [ 50, 52, 46 ], [ 50, 53, 31 ], [ 50, 54, 21 ], [ 50, 55, 34 ], [ 50, 56, 17 ], [ 50, 57, 5 ], [ 50, 58, 7 ], [ 50, 59, 32 ], [ 51, 0, 0 ], [ 51, 1, 41 ], [ 51, 2, 27 ], [ 51, 3, 18 ], [ 51, 4, 39 ], [ 51, 5, 33 ], [ 51, 6, 15 ], [ 51, 7, 9 ], [ 51, 8, 29 ], [ 51, 9, 14 ], [ 51, 10, 1 ], [ 51, 11, 45 ], [ 51, 12, 50 ], [ 51, 13, 57 ], [ 51, 14, 55 ], [ 51, 15, 33 ], [ 51, 16, 18 ], [ 51, 17, 54 ], [ 51, 18, 9 ], [ 51, 19, 49 ], [ 51, 20, 15 ], [ 51, 21, 45 ], [ 51, 22, 14 ], [ 51, 23, 58 ], [ 51, 24, 55 ], [ 51, 25, 50 ], [ 51, 26, 52 ], [ 51, 27, 41 ], [ 51, 28, 53 ], [ 51, 29, 0 ], [ 51, 30, 29 ], [ 51, 31, 9 ], [ 51, 32, 49 ], [ 51, 33, 14 ], [ 51, 34, 58 ], [ 51, 35, 1 ], [ 51, 36, 50 ], [ 51, 37, 52 ], [ 51, 38, 57 ], [ 51, 39, 27 ], [ 51, 40, 41 ], [ 51, 41, 53 ], [ 51, 42, 18 ], [ 51, 43, 54 ], [ 51, 44, 39 ], [ 51, 45, 1 ], [ 51, 46, 45 ], [ 51, 47, 58 ], [ 51, 48, 57 ], [ 51, 49, 55 ], [ 51, 50, 52 ], [ 51, 51, 0 ], [ 51, 52, 53 ], [ 51, 53, 27 ], [ 51, 54, 39 ], [ 51, 55, 33 ], [ 51, 56, 54 ], [ 51, 57, 15 ], [ 51, 58, 49 ], [ 51, 59, 29 ], [ 52, 0, 0 ], [ 52, 1, 41 ], [ 52, 2, 27 ], [ 52, 3, 40 ], [ 52, 4, 19 ], [ 52, 5, 10 ], [ 52, 6, 28 ], [ 52, 7, 47 ], [ 52, 8, 17 ], [ 52, 9, 2 ], [ 52, 10, 12 ], [ 52, 11, 34 ], [ 52, 12, 59 ], [ 52, 13, 56 ], [ 52, 14, 48 ], [ 52, 15, 49 ], [ 52, 16, 19 ], [ 52, 17, 10 ], [ 52, 18, 58 ], [ 52, 19, 47 ], [ 52, 20, 17 ], [ 52, 21, 54 ], [ 52, 22, 12 ], [ 52, 23, 34 ], [ 52, 24, 51 ], [ 52, 25, 56 ], [ 52, 26, 48 ], [ 52, 27, 53 ], [ 52, 28, 41 ], [ 52, 29, 27 ], [ 52, 30, 58 ], [ 52, 31, 28 ], [ 52, 32, 17 ], [ 52, 33, 54 ], [ 52, 34, 2 ], [ 52, 35, 34 ], [ 52, 36, 51 ], [ 52, 37, 59 ], [ 52, 38, 48 ], [ 52, 39, 53 ], [ 52, 40, 0 ], [ 52, 41, 27 ], [ 52, 42, 49 ], [ 52, 43, 40 ], [ 52, 44, 10 ], [ 52, 45, 54 ], [ 52, 46, 2 ], [ 52, 47, 12 ], [ 52, 48, 51 ], [ 52, 49, 59 ], [ 52, 50, 56 ], [ 52, 51, 53 ], [ 52, 52, 0 ], [ 52, 53, 41 ], [ 52, 54, 49 ], [ 52, 55, 40 ], [ 52, 56, 19 ], [ 52, 57, 58 ], [ 52, 58, 28 ], [ 52, 59, 47 ], [ 53, 0, 0 ], [ 53, 1, 41 ], [ 53, 2, 27 ], [ 53, 3, 25 ], [ 53, 4, 4 ], [ 53, 5, 23 ], [ 53, 6, 6 ], [ 53, 7, 21 ], [ 53, 8, 38 ], [ 53, 9, 44 ], [ 53, 10, 31 ], [ 53, 11, 22 ], [ 53, 12, 54 ], [ 53, 13, 49 ], [ 53, 14, 58 ], [ 53, 15, 25 ], [ 53, 16, 23 ], [ 53, 17, 4 ], [ 53, 18, 6 ], [ 53, 19, 38 ], [ 53, 20, 21 ], [ 53, 21, 44 ], [ 53, 22, 22 ], [ 53, 23, 31 ], [ 53, 24, 54 ], [ 53, 25, 58 ], [ 53, 26, 49 ], [ 53, 27, 0 ], [ 53, 28, 27 ], [ 53, 29, 41 ], [ 53, 30, 21 ], [ 53, 31, 38 ], [ 53, 32, 6 ], [ 53, 33, 31 ], [ 53, 34, 22 ], [ 53, 35, 44 ], [ 53, 36, 49 ], [ 53, 37, 58 ], [ 53, 38, 54 ], [ 53, 39, 41 ], [ 53, 40, 27 ], [ 53, 41, 0 ], [ 53, 42, 4 ], [ 53, 43, 23 ], [ 53, 44, 25 ], [ 53, 45, 22 ], [ 53, 46, 31 ], [ 53, 47, 44 ], [ 53, 48, 58 ], [ 53, 49, 49 ], [ 53, 50, 54 ], [ 53, 51, 27 ], [ 53, 52, 41 ], [ 53, 53, 0 ], [ 53, 54, 23 ], [ 53, 55, 4 ], [ 53, 56, 25 ], [ 53, 57, 38 ], [ 53, 58, 21 ], [ 53, 59, 6 ], [ 54, 0, 0 ], [ 54, 1, 20 ], [ 54, 2, 36 ], [ 54, 3, 25 ], [ 54, 4, 19 ], [ 54, 5, 46 ], [ 54, 6, 28 ], [ 54, 7, 9 ], [ 54, 8, 38 ], [ 54, 9, 32 ], [ 54, 10, 1 ], [ 54, 11, 22 ], [ 54, 12, 38 ], [ 54, 13, 1 ], [ 54, 14, 19 ], [ 54, 15, 9 ], [ 54, 16, 28 ], [ 54, 17, 20 ], [ 54, 18, 22 ], [ 54, 19, 36 ], [ 54, 20, 32 ], [ 54, 21, 46 ], [ 54, 22, 25 ], [ 54, 23, 0 ], [ 54, 24, 22 ], [ 54, 25, 36 ], [ 54, 26, 28 ], [ 54, 27, 32 ], [ 54, 28, 46 ], [ 54, 29, 1 ], [ 54, 30, 20 ], [ 54, 31, 0 ], [ 54, 32, 25 ], [ 54, 33, 38 ], [ 54, 34, 19 ], [ 54, 35, 9 ], [ 54, 36, 46 ], [ 54, 37, 32 ], [ 54, 38, 0 ], [ 54, 39, 25 ], [ 54, 40, 19 ], [ 54, 41, 9 ], [ 54, 42, 1 ], [ 54, 43, 38 ], [ 54, 44, 22 ], [ 54, 45, 36 ], [ 54, 46, 20 ], [ 54, 47, 28 ], [ 54, 48, 9 ], [ 54, 49, 20 ], [ 54, 50, 25 ], [ 54, 51, 28 ], [ 54, 52, 22 ], [ 54, 53, 38 ], [ 54, 54, 0 ], [ 54, 55, 36 ], [ 54, 56, 32 ], [ 54, 57, 19 ], [ 54, 58, 1 ], [ 54, 59, 46 ], [ 55, 0, 0 ], [ 55, 1, 20 ], [ 55, 2, 36 ], [ 55, 3, 40 ], [ 55, 4, 4 ], [ 55, 5, 33 ], [ 55, 6, 6 ], [ 55, 7, 35 ], [ 55, 8, 17 ], [ 55, 9, 14 ], [ 55, 10, 42 ], [ 55, 11, 34 ], [ 55, 12, 20 ], [ 55, 13, 36 ], [ 55, 14, 0 ], [ 55, 15, 14 ], [ 55, 16, 35 ], [ 55, 17, 57 ], [ 55, 18, 40 ], [ 55, 19, 50 ], [ 55, 20, 34 ], [ 55, 21, 6 ], [ 55, 22, 33 ], [ 55, 23, 52 ], [ 55, 24, 33 ], [ 55, 25, 40 ], [ 55, 26, 4 ], [ 55, 27, 35 ], [ 55, 28, 57 ], [ 55, 29, 14 ], [ 55, 30, 42 ], [ 55, 31, 20 ], [ 55, 32, 52 ], [ 55, 33, 0 ], [ 55, 34, 50 ], [ 55, 35, 17 ], [ 55, 36, 35 ], [ 55, 37, 17 ], [ 55, 38, 6 ], [ 55, 39, 34 ], [ 55, 40, 40 ], [ 55, 41, 50 ], [ 55, 42, 20 ], [ 55, 43, 52 ], [ 55, 44, 42 ], [ 55, 45, 4 ], [ 55, 46, 36 ], [ 55, 47, 57 ], [ 55, 48, 34 ], [ 55, 49, 14 ], [ 55, 50, 42 ], [ 55, 51, 33 ], [ 55, 52, 52 ], [ 55, 53, 6 ], [ 55, 54, 17 ], [ 55, 55, 0 ], [ 55, 56, 50 ], [ 55, 57, 36 ], [ 55, 58, 57 ], [ 55, 59, 4 ], [ 56, 0, 0 ], [ 56, 1, 20 ], [ 56, 2, 36 ], [ 56, 3, 18 ], [ 56, 4, 24 ], [ 56, 5, 10 ], [ 56, 6, 37 ], [ 56, 7, 21 ], [ 56, 8, 29 ], [ 56, 9, 2 ], [ 56, 10, 31 ], [ 56, 11, 45 ], [ 56, 12, 2 ], [ 56, 13, 18 ], [ 56, 14, 37 ], [ 56, 15, 36 ], [ 56, 16, 29 ], [ 56, 17, 21 ], [ 56, 18, 0 ], [ 56, 19, 45 ], [ 56, 20, 31 ], [ 56, 21, 20 ], [ 56, 22, 24 ], [ 56, 23, 10 ], [ 56, 24, 21 ], [ 56, 25, 31 ], [ 56, 26, 0 ], [ 56, 27, 24 ], [ 56, 28, 2 ], [ 56, 29, 45 ], [ 56, 30, 10 ], [ 56, 31, 36 ], [ 56, 32, 20 ], [ 56, 33, 18 ], [ 56, 34, 29 ], [ 56, 35, 37 ], [ 56, 36, 45 ], [ 56, 37, 20 ], [ 56, 38, 24 ], [ 56, 39, 29 ], [ 56, 40, 10 ], [ 56, 41, 18 ], [ 56, 42, 37 ], [ 56, 43, 31 ], [ 56, 44, 2 ], [ 56, 45, 21 ], [ 56, 46, 0 ], [ 56, 47, 36 ], [ 56, 48, 10 ], [ 56, 49, 29 ], [ 56, 50, 36 ], [ 56, 51, 31 ], [ 56, 52, 37 ], [ 56, 53, 21 ], [ 56, 54, 45 ], [ 56, 55, 20 ], [ 56, 56, 0 ], [ 56, 57, 2 ], [ 56, 58, 24 ], [ 56, 59, 18 ], [ 57, 0, 0 ], [ 57, 1, 26 ], [ 57, 2, 16 ], [ 57, 3, 40 ], [ 57, 4, 24 ], [ 57, 5, 23 ], [ 57, 6, 37 ], [ 57, 7, 9 ], [ 57, 8, 17 ], [ 57, 9, 44 ], [ 57, 10, 1 ], [ 57, 11, 34 ], [ 57, 12, 24 ], [ 57, 13, 17 ], [ 57, 14, 1 ], [ 57, 15, 34 ], [ 57, 16, 44 ], [ 57, 17, 0 ], [ 57, 18, 23 ], [ 57, 19, 26 ], [ 57, 20, 40 ], [ 57, 21, 9 ], [ 57, 22, 37 ], [ 57, 23, 16 ], [ 57, 24, 16 ], [ 57, 25, 37 ], [ 57, 26, 34 ], [ 57, 27, 17 ], [ 57, 28, 40 ], [ 57, 29, 9 ], [ 57, 30, 44 ], [ 57, 31, 1 ], [ 57, 32, 24 ], [ 57, 33, 26 ], [ 57, 34, 23 ], [ 57, 35, 0 ], [ 57, 36, 0 ], [ 57, 37, 23 ], [ 57, 38, 44 ], [ 57, 39, 1 ], [ 57, 40, 34 ], [ 57, 41, 37 ], [ 57, 42, 16 ], [ 57, 43, 9 ], [ 57, 44, 26 ], [ 57, 45, 40 ], [ 57, 46, 24 ], [ 57, 47, 17 ], [ 57, 48, 26 ], [ 57, 49, 40 ], [ 57, 50, 9 ], [ 57, 51, 24 ], [ 57, 52, 44 ], [ 57, 53, 23 ], [ 57, 54, 37 ], [ 57, 55, 17 ], [ 57, 56, 1 ], [ 57, 57, 0 ], [ 57, 58, 34 ], [ 57, 59, 16 ], [ 58, 0, 0 ], [ 58, 1, 26 ], [ 58, 2, 16 ], [ 58, 3, 25 ], [ 58, 4, 39 ], [ 58, 5, 10 ], [ 58, 6, 15 ], [ 58, 7, 35 ], [ 58, 8, 38 ], [ 58, 9, 2 ], [ 58, 10, 42 ], [ 58, 11, 22 ], [ 58, 12, 15 ], [ 58, 13, 2 ], [ 58, 14, 25 ], [ 58, 15, 26 ], [ 58, 16, 42 ], [ 58, 17, 22 ], [ 58, 18, 16 ], [ 58, 19, 10 ], [ 58, 20, 39 ], [ 58, 21, 0 ], [ 58, 22, 38 ], [ 58, 23, 35 ], [ 58, 24, 42 ], [ 58, 25, 0 ], [ 58, 26, 35 ], [ 58, 27, 10 ], [ 58, 28, 38 ], [ 58, 29, 15 ], [ 58, 30, 25 ], [ 58, 31, 22 ], [ 58, 32, 2 ], [ 58, 33, 39 ], [ 58, 34, 26 ], [ 58, 35, 16 ], [ 58, 36, 39 ], [ 58, 37, 22 ], [ 58, 38, 26 ], [ 58, 39, 35 ], [ 58, 40, 2 ], [ 58, 41, 42 ], [ 58, 42, 38 ], [ 58, 43, 16 ], [ 58, 44, 0 ], [ 58, 45, 15 ], [ 58, 46, 10 ], [ 58, 47, 25 ], [ 58, 48, 38 ], [ 58, 49, 16 ], [ 58, 50, 10 ], [ 58, 51, 22 ], [ 58, 52, 39 ], [ 58, 53, 25 ], [ 58, 54, 2 ], [ 58, 55, 35 ], [ 58, 56, 15 ], [ 58, 57, 42 ], [ 58, 58, 0 ], [ 58, 59, 26 ], [ 59, 0, 0 ], [ 59, 1, 26 ], [ 59, 2, 16 ], [ 59, 3, 18 ], [ 59, 4, 4 ], [ 59, 5, 46 ], [ 59, 6, 6 ], [ 59, 7, 47 ], [ 59, 8, 29 ], [ 59, 9, 32 ], [ 59, 10, 12 ], [ 59, 11, 45 ], [ 59, 12, 0 ], [ 59, 13, 26 ], [ 59, 14, 16 ], [ 59, 15, 48 ], [ 59, 16, 45 ], [ 59, 17, 29 ], [ 59, 18, 56 ], [ 59, 19, 12 ], [ 59, 20, 46 ], [ 59, 21, 51 ], [ 59, 22, 47 ], [ 59, 23, 4 ], [ 59, 24, 18 ], [ 59, 25, 4 ], [ 59, 26, 46 ], [ 59, 27, 48 ], [ 59, 28, 45 ], [ 59, 29, 29 ], [ 59, 30, 51 ], [ 59, 31, 32 ], [ 59, 32, 16 ], [ 59, 33, 56 ], [ 59, 34, 6 ], [ 59, 35, 26 ], [ 59, 36, 6 ], [ 59, 37, 47 ], [ 59, 38, 29 ], [ 59, 39, 56 ], [ 59, 40, 12 ], [ 59, 41, 46 ], [ 59, 42, 51 ], [ 59, 43, 32 ], [ 59, 44, 16 ], [ 59, 45, 48 ], [ 59, 46, 18 ], [ 59, 47, 0 ], [ 59, 48, 32 ], [ 59, 49, 12 ], [ 59, 50, 45 ], [ 59, 51, 51 ], [ 59, 52, 47 ], [ 59, 53, 4 ], [ 59, 54, 56 ], [ 59, 55, 6 ], [ 59, 56, 26 ], [ 59, 57, 48 ], [ 59, 58, 18 ], [ 59, 59, 0 ] ], "generators": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "next": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "words": { "0": [], "1": [ 1 ], "2": [ 2 ], "3": [ 3 ], "4": [ 4 ], "5": [ 5 ], "6": [ 6 ], "7": [ 7 ], "8": [ 8 ], "9": [ 9 ], "10": [ 10 ], "11": [ 11 ], "12": [ 12 ], "13": [ 13 ], "14": [ 14 ], "15": [ 15 ], "16": [ 16 ], "17": [ 17 ], "18": [ 18 ], "19": [ 19 ], "20": [ 20 ], "21": [ 21 ], "22": [ 22 ], "23": [ 23 ], "24": [ 24 ], "25": [ 25 ], "26": [ 26 ], "27": [ 27 ], "28": [ 28 ], "29": [ 29 ], "30": [ 30 ], "31": [ 31 ], "32": [ 32 ], "33": [ 33 ], "34": [ 34 ], "35": [ 35 ], "36": [ 36 ], "37": [ 37 ], "38": [ 38 ], "39": [ 39 ], "40": [ 40 ], "41": [ 41 ], "42": [ 42 ], "43": [ 43 ], "44": [ 44 ], "45": [ 45 ], "46": [ 46 ], "47": [ 47 ], "48": [ 48 ], "49": [ 49 ], "50": [ 50 ], "51": [ 51 ], "52": [ 52 ], "53": [ 53 ], "54": [ 54 ], "55": [ 55 ], "56": [ 56 ], "57": [ 57 ], "58": [ 58 ], "59": [ 59 ] } } ], "solvable": false, "affine": false }, { "id": "S5", "order": 120, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 2, 4, 3 ], [ 0, 1, 3, 2, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 1, 4, 3, 2 ], [ 0, 2, 1, 3, 4 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 3, 4, 1 ], [ 0, 2, 4, 1, 3 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 1, 4, 2 ], [ 0, 3, 2, 1, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 3, 4, 2, 1 ], [ 0, 4, 1, 2, 3 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 2, 3, 1 ], [ 0, 4, 3, 1, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 3, 4 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 3, 4, 2 ], [ 1, 0, 4, 2, 3 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 0, 4, 3 ], [ 1, 2, 3, 0, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 2, 4, 3, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 2, 4, 0 ], [ 1, 3, 4, 0, 2 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 0, 3, 2 ], [ 1, 4, 2, 0, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 1, 4, 3, 2, 0 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 1, 4, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 0, 4, 3, 1 ], [ 2, 1, 0, 3, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 3, 4, 0 ], [ 2, 1, 4, 0, 3 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 0, 4, 1 ], [ 2, 3, 1, 0, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 3, 4, 1, 0 ], [ 2, 4, 0, 1, 3 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 1, 3, 0 ], [ 2, 4, 3, 0, 1 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 2, 4 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 2, 4, 1 ], [ 3, 0, 4, 1, 2 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 0, 4, 2 ], [ 3, 1, 2, 0, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 0, 1, 4 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 1, 4, 0 ], [ 3, 2, 4, 0, 1 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 0, 2, 1 ], [ 3, 4, 1, 0, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 3, 4, 2, 1, 0 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 1, 3, 2 ], [ 4, 0, 2, 1, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 0, 3, 2, 1 ], [ 4, 1, 0, 2, 3 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 2, 3, 0 ], [ 4, 1, 3, 0, 2 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 0, 3, 1 ], [ 4, 2, 1, 0, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 2, 3, 1, 0 ], [ 4, 3, 0, 1, 2 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 1, 2, 0 ], [ 4, 3, 2, 0, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(4 5)", "(3 4)", "(3 4 5)", "(3 5 4)", "(3 5)", "(2 3)", "(2 3)(4 5)", "(2 3 4)", "(2 3 4 5)", "(2 3 5 4)", "(2 3 5)", "(2 4 3)", "(2 4 5 3)", "(2 4)", "(2 4 5)", "(2 4)(3 5)", "(2 4 3 5)", "(2 5 4 3)", "(2 5 3)", "(2 5 4)", "(2 5)", "(2 5 3 4)", "(2 5)(3 4)", "(1 2)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 4 5)", "(1 2)(3 5 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3)(4 5)", "(1 2 3 4)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 3 5)", "(1 2 4 3)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 5)", "(1 2 4)(3 5)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5 3)", "(1 2 5 4)", "(1 2 5)", "(1 2 5 3 4)", "(1 2 5)(3 4)", "(1 3 2)", "(1 3 2)(4 5)", "(1 3 4 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3 5 2)", "(1 3)", "(1 3)(4 5)", "(1 3 4)", "(1 3 4 5)", "(1 3 5 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3)(2 4 5)", "(1 3 2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3 5)(2 4)", "(1 3)(2 5 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 2 5)", "(1 3 4)(2 5)", "(1 3 4 2 5)", "(1 4 3 2)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 5 2)", "(1 4 2)(3 5)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5 3)", "(1 4)", "(1 4 5)", "(1 4)(3 5)", "(1 4 3 5)", "(1 4 2 3)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 5)(2 3)", "(1 4)(2 3 5)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3)(2 5)", "(1 4)(2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 4 2 5)", "(1 5 4 3 2)", "(1 5 3 2)", "(1 5 4 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 2)(3 4)", "(1 5 4 3)", "(1 5 3)", "(1 5 4)", "(1 5)", "(1 5 3 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5 2 3)", "(1 5 4)(2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5)(2 3 4)", "(1 5 3)(2 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4 3)", "(1 5 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], [ 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 ], [ 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113 ], [ 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71 ], [ 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89 ], [ 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65 ], [ 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117 ], [ 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93 ], [ 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107 ], [ 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 ], [ 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83 ], [ 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41 ], [ 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111 ], [ 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69 ], [ 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105 ], [ 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45 ], [ 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59 ], [ 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35 ], [ 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87 ], [ 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63 ], [ 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81 ], [ 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39 ], [ 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57 ], [ 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118 ], [ 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94 ], [ 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112 ], [ 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70 ], [ 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88 ], [ 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64 ], [ 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115 ], [ 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91 ], [ 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101 ], [ 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 ], [ 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77 ], [ 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17 ], [ 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109 ], [ 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67 ], [ 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99 ], [ 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21 ], [ 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53 ], [ 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11 ], [ 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85 ], [ 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61 ], [ 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75 ], [ 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15 ], [ 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51 ], [ 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116 ], [ 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92 ], [ 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106 ], [ 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46 ], [ 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82 ], [ 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40 ], [ 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114 ], [ 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90 ], [ 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100 ], [ 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22 ], [ 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76 ], [ 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16 ], [ 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103 ], [ 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43 ], [ 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97 ], [ 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19 ], [ 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29 ], [ 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5 ], [ 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79 ], [ 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37 ], [ 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73 ], [ 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13 ], [ 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27 ], [ 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3 ], [ 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110 ], [ 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68 ], [ 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104 ], [ 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44 ], [ 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58 ], [ 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34 ], [ 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108 ], [ 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66 ], [ 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98 ], [ 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20 ], [ 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52 ], [ 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10 ], [ 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102 ], [ 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42 ], [ 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96 ], [ 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18 ], [ 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28 ], [ 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4 ], [ 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55 ], [ 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31 ], [ 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49 ], [ 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7 ], [ 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25 ], [ 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1 ], [ 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86 ], [ 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62 ], [ 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80 ], [ 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38 ], [ 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56 ], [ 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32 ], [ 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84 ], [ 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60 ], [ 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74 ], [ 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14 ], [ 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50 ], [ 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8 ], [ 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78 ], [ 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36 ], [ 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72 ], [ 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12 ], [ 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26 ], [ 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2 ], [ 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54 ], [ 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30 ], [ 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6 ], [ 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 4, 3, 5, 6, 7, 12, 18, 13, 19, 8, 10, 14, 20, 16, 22, 9, 11, 15, 21, 17, 23, 24, 25, 26, 28, 27, 29, 48, 49, 72, 96, 73, 97, 50, 52, 74, 98, 76, 100, 51, 53, 75, 99, 77, 101, 30, 31, 36, 42, 37, 43, 54, 55, 78, 102, 79, 103, 60, 66, 84, 108, 90, 114, 61, 67, 85, 109, 91, 115, 32, 34, 38, 44, 40, 46, 56, 58, 80, 104, 82, 106, 62, 68, 86, 110, 92, 116, 64, 70, 88, 112, 94, 118, 33, 35, 39, 45, 41, 47, 57, 59, 81, 105, 83, 107, 63, 69, 87, 111, 93, 117, 65, 71, 89, 113, 95, 119 ], "cycleTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,1,2", "1,1,3", "1,1,3", "1,1,1,2", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "1,1,1,2", "1,2,2", "1,2,2", "2,3", "2,3", "1,2,2", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,2,2", "2,3", "1,4", "5", "5", "2,3", "2,3", "1,2,2", "5", "1,4", "2,3", "5", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "5", "1,2,2", "2,3", "2,3", "5", "5", "2,3", "2,3", "5", "1,2,2", "1,4", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "5", "1,4", "2,3", "1,2,2", "5", "2,3", "2,3", "5", "5", "2,3", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "2,3", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 61, 0 ], [ 0, 62, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 65, 0 ], [ 0, 66, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 69, 0 ], [ 0, 70, 0 ], [ 0, 71, 0 ], [ 0, 72, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 75, 0 ], [ 0, 76, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 79, 0 ], [ 0, 80, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 83, 0 ], [ 0, 84, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 87, 0 ], [ 0, 88, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 91, 0 ], [ 0, 92, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 95, 0 ], [ 0, 96, 0 ], [ 0, 97, 0 ], [ 0, 98, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 101, 0 ], [ 0, 102, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 105, 0 ], [ 0, 106, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 109, 0 ], [ 0, 110, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 113, 0 ], [ 0, 114, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 117, 0 ], [ 0, 118, 0 ], [ 0, 119, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 3 ], [ 1, 3, 3 ], [ 1, 4, 4 ], [ 1, 5, 4 ], [ 1, 6, 0 ], [ 1, 7, 0 ], [ 1, 8, 15 ], [ 1, 9, 15 ], [ 1, 10, 20 ], [ 1, 11, 20 ], [ 1, 12, 3 ], [ 1, 13, 3 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 7 ], [ 1, 17, 7 ], [ 1, 18, 4 ], [ 1, 19, 4 ], [ 1, 20, 20 ], [ 1, 21, 20 ], [ 1, 22, 7 ], [ 1, 23, 7 ], [ 1, 24, 0 ], [ 1, 25, 0 ], [ 1, 26, 3 ], [ 1, 27, 3 ], [ 1, 28, 4 ], [ 1, 29, 4 ], [ 1, 30, 0 ], [ 1, 31, 0 ], [ 1, 32, 81 ], [ 1, 33, 81 ], [ 1, 34, 104 ], [ 1, 35, 104 ], [ 1, 36, 3 ], [ 1, 37, 3 ], [ 1, 38, 81 ], [ 1, 39, 81 ], [ 1, 40, 55 ], [ 1, 41, 55 ], [ 1, 42, 4 ], [ 1, 43, 4 ], [ 1, 44, 104 ], [ 1, 45, 104 ], [ 1, 46, 55 ], [ 1, 47, 55 ], [ 1, 48, 0 ], [ 1, 49, 0 ], [ 1, 50, 15 ], [ 1, 51, 15 ], [ 1, 52, 20 ], [ 1, 53, 20 ], [ 1, 54, 0 ], [ 1, 55, 0 ], [ 1, 56, 81 ], [ 1, 57, 81 ], [ 1, 58, 104 ], [ 1, 59, 104 ], [ 1, 60, 15 ], [ 1, 61, 15 ], [ 1, 62, 81 ], [ 1, 63, 81 ], [ 1, 64, 25 ], [ 1, 65, 25 ], [ 1, 66, 20 ], [ 1, 67, 20 ], [ 1, 68, 104 ], [ 1, 69, 104 ], [ 1, 70, 25 ], [ 1, 71, 25 ], [ 1, 72, 3 ], [ 1, 73, 3 ], [ 1, 74, 15 ], [ 1, 75, 15 ], [ 1, 76, 7 ], [ 1, 77, 7 ], [ 1, 78, 3 ], [ 1, 79, 3 ], [ 1, 80, 81 ], [ 1, 81, 81 ], [ 1, 82, 55 ], [ 1, 83, 55 ], [ 1, 84, 15 ], [ 1, 85, 15 ], [ 1, 86, 81 ], [ 1, 87, 81 ], [ 1, 88, 25 ], [ 1, 89, 25 ], [ 1, 90, 7 ], [ 1, 91, 7 ], [ 1, 92, 55 ], [ 1, 93, 55 ], [ 1, 94, 25 ], [ 1, 95, 25 ], [ 1, 96, 4 ], [ 1, 97, 4 ], [ 1, 98, 20 ], [ 1, 99, 20 ], [ 1, 100, 7 ], [ 1, 101, 7 ], [ 1, 102, 4 ], [ 1, 103, 4 ], [ 1, 104, 104 ], [ 1, 105, 104 ], [ 1, 106, 55 ], [ 1, 107, 55 ], [ 1, 108, 20 ], [ 1, 109, 20 ], [ 1, 110, 104 ], [ 1, 111, 104 ], [ 1, 112, 25 ], [ 1, 113, 25 ], [ 1, 114, 7 ], [ 1, 115, 7 ], [ 1, 116, 55 ], [ 1, 117, 55 ], [ 1, 118, 25 ], [ 1, 119, 25 ], [ 2, 0, 0 ], [ 2, 1, 4 ], [ 2, 2, 0 ], [ 2, 3, 3 ], [ 2, 4, 4 ], [ 2, 5, 3 ], [ 2, 6, 8 ], [ 2, 7, 23 ], [ 2, 8, 8 ], [ 2, 9, 3 ], [ 2, 10, 23 ], [ 2, 11, 3 ], [ 2, 12, 12 ], [ 2, 13, 23 ], [ 2, 14, 12 ], [ 2, 15, 4 ], [ 2, 16, 23 ], [ 2, 17, 4 ], [ 2, 18, 12 ], [ 2, 19, 8 ], [ 2, 20, 12 ], [ 2, 21, 0 ], [ 2, 22, 8 ], [ 2, 23, 0 ], [ 2, 24, 0 ], [ 2, 25, 4 ], [ 2, 26, 0 ], [ 2, 27, 3 ], [ 2, 28, 4 ], [ 2, 29, 3 ], [ 2, 30, 56 ], [ 2, 31, 107 ], [ 2, 32, 56 ], [ 2, 33, 3 ], [ 2, 34, 107 ], [ 2, 35, 3 ], [ 2, 36, 78 ], [ 2, 37, 107 ], [ 2, 38, 78 ], [ 2, 39, 4 ], [ 2, 40, 107 ], [ 2, 41, 4 ], [ 2, 42, 78 ], [ 2, 43, 56 ], [ 2, 44, 78 ], [ 2, 45, 0 ], [ 2, 46, 56 ], [ 2, 47, 0 ], [ 2, 48, 8 ], [ 2, 49, 23 ], [ 2, 50, 8 ], [ 2, 51, 3 ], [ 2, 52, 23 ], [ 2, 53, 3 ], [ 2, 54, 56 ], [ 2, 55, 107 ], [ 2, 56, 56 ], [ 2, 57, 3 ], [ 2, 58, 107 ], [ 2, 59, 3 ], [ 2, 60, 26 ], [ 2, 61, 107 ], [ 2, 62, 26 ], [ 2, 63, 23 ], [ 2, 64, 107 ], [ 2, 65, 23 ], [ 2, 66, 26 ], [ 2, 67, 56 ], [ 2, 68, 26 ], [ 2, 69, 8 ], [ 2, 70, 56 ], [ 2, 71, 8 ], [ 2, 72, 12 ], [ 2, 73, 23 ], [ 2, 74, 12 ], [ 2, 75, 4 ], [ 2, 76, 23 ], [ 2, 77, 4 ], [ 2, 78, 78 ], [ 2, 79, 107 ], [ 2, 80, 78 ], [ 2, 81, 4 ], [ 2, 82, 107 ], [ 2, 83, 4 ], [ 2, 84, 26 ], [ 2, 85, 107 ], [ 2, 86, 26 ], [ 2, 87, 23 ], [ 2, 88, 107 ], [ 2, 89, 23 ], [ 2, 90, 26 ], [ 2, 91, 78 ], [ 2, 92, 26 ], [ 2, 93, 12 ], [ 2, 94, 78 ], [ 2, 95, 12 ], [ 2, 96, 12 ], [ 2, 97, 8 ], [ 2, 98, 12 ], [ 2, 99, 0 ], [ 2, 100, 8 ], [ 2, 101, 0 ], [ 2, 102, 78 ], [ 2, 103, 56 ], [ 2, 104, 78 ], [ 2, 105, 0 ], [ 2, 106, 56 ], [ 2, 107, 0 ], [ 2, 108, 26 ], [ 2, 109, 56 ], [ 2, 110, 26 ], [ 2, 111, 8 ], [ 2, 112, 56 ], [ 2, 113, 8 ], [ 2, 114, 26 ], [ 2, 115, 78 ], [ 2, 116, 26 ], [ 2, 117, 12 ], [ 2, 118, 78 ], [ 2, 119, 12 ], [ 3, 0, 0 ], [ 3, 1, 4 ], [ 3, 2, 4 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 5, 4 ], [ 3, 6, 8 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 9, 8 ], [ 3, 10, 8 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 13, 15 ], [ 3, 14, 15 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 17, 15 ], [ 3, 18, 19 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 21, 19 ], [ 3, 22, 19 ], [ 3, 23, 16 ], [ 3, 24, 0 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 27, 0 ], [ 3, 28, 0 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 31, 107 ], [ 3, 32, 107 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 35, 107 ], [ 3, 36, 55 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 39, 55 ], [ 3, 40, 55 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 43, 82 ], [ 3, 44, 82 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 47, 82 ], [ 3, 48, 8 ], [ 3, 49, 23 ], [ 3, 50, 23 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 53, 23 ], [ 3, 54, 56 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 57, 56 ], [ 3, 58, 56 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 61, 33 ], [ 3, 62, 33 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 65, 33 ], [ 3, 66, 100 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 69, 100 ], [ 3, 70, 100 ], [ 3, 71, 46 ], [ 3, 72, 7 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 75, 7 ], [ 3, 76, 7 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 79, 81 ], [ 3, 80, 81 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 83, 81 ], [ 3, 84, 51 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 87, 51 ], [ 3, 88, 51 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 91, 37 ], [ 3, 92, 37 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 95, 37 ], [ 3, 96, 19 ], [ 3, 97, 16 ], [ 3, 98, 16 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 101, 16 ], [ 3, 102, 103 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 105, 103 ], [ 3, 106, 103 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 109, 46 ], [ 3, 110, 46 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 113, 46 ], [ 3, 114, 73 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 117, 73 ], [ 3, 118, 73 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 1, 3 ], [ 4, 2, 3 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 11 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 9, 11 ], [ 4, 10, 11 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 13, 12 ], [ 4, 14, 12 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 17, 12 ], [ 4, 18, 20 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 21, 20 ], [ 4, 22, 20 ], [ 4, 23, 7 ], [ 4, 24, 0 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 27, 0 ], [ 4, 28, 0 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 31, 82 ], [ 4, 32, 82 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 35, 82 ], [ 4, 36, 107 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 39, 107 ], [ 4, 40, 107 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 43, 55 ], [ 4, 44, 55 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 47, 55 ], [ 4, 48, 11 ], [ 4, 49, 16 ], [ 4, 50, 16 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 53, 16 ], [ 4, 54, 59 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 57, 59 ], [ 4, 58, 59 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 61, 77 ], [ 4, 62, 77 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 65, 77 ], [ 4, 66, 34 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 69, 34 ], [ 4, 70, 34 ], [ 4, 71, 52 ], [ 4, 72, 23 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 75, 23 ], [ 4, 76, 23 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 79, 78 ], [ 4, 80, 78 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 83, 78 ], [ 4, 84, 41 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 87, 41 ], [ 4, 88, 41 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 91, 96 ], [ 4, 92, 96 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 95, 96 ], [ 4, 96, 20 ], [ 4, 97, 7 ], [ 4, 98, 7 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 101, 7 ], [ 4, 102, 104 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 105, 104 ], [ 4, 106, 104 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 109, 52 ], [ 4, 110, 52 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 113, 52 ], [ 4, 114, 42 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 117, 42 ], [ 4, 118, 42 ], [ 4, 119, 96 ], [ 5, 0, 0 ], [ 5, 1, 3 ], [ 5, 2, 4 ], [ 5, 3, 3 ], [ 5, 4, 4 ], [ 5, 5, 0 ], [ 5, 6, 11 ], [ 5, 7, 16 ], [ 5, 8, 4 ], [ 5, 9, 16 ], [ 5, 10, 4 ], [ 5, 11, 11 ], [ 5, 12, 11 ], [ 5, 13, 19 ], [ 5, 14, 0 ], [ 5, 15, 19 ], [ 5, 16, 0 ], [ 5, 17, 11 ], [ 5, 18, 16 ], [ 5, 19, 19 ], [ 5, 20, 3 ], [ 5, 21, 19 ], [ 5, 22, 3 ], [ 5, 23, 16 ], [ 5, 24, 0 ], [ 5, 25, 3 ], [ 5, 26, 4 ], [ 5, 27, 3 ], [ 5, 28, 4 ], [ 5, 29, 0 ], [ 5, 30, 59 ], [ 5, 31, 82 ], [ 5, 32, 4 ], [ 5, 33, 82 ], [ 5, 34, 4 ], [ 5, 35, 59 ], [ 5, 36, 59 ], [ 5, 37, 103 ], [ 5, 38, 0 ], [ 5, 39, 103 ], [ 5, 40, 0 ], [ 5, 41, 59 ], [ 5, 42, 82 ], [ 5, 43, 103 ], [ 5, 44, 3 ], [ 5, 45, 103 ], [ 5, 46, 3 ], [ 5, 47, 82 ], [ 5, 48, 11 ], [ 5, 49, 16 ], [ 5, 50, 4 ], [ 5, 51, 16 ], [ 5, 52, 4 ], [ 5, 53, 11 ], [ 5, 54, 59 ], [ 5, 55, 82 ], [ 5, 56, 4 ], [ 5, 57, 82 ], [ 5, 58, 4 ], [ 5, 59, 59 ], [ 5, 60, 59 ], [ 5, 61, 29 ], [ 5, 62, 11 ], [ 5, 63, 29 ], [ 5, 64, 11 ], [ 5, 65, 59 ], [ 5, 66, 82 ], [ 5, 67, 29 ], [ 5, 68, 16 ], [ 5, 69, 29 ], [ 5, 70, 16 ], [ 5, 71, 82 ], [ 5, 72, 11 ], [ 5, 73, 19 ], [ 5, 74, 0 ], [ 5, 75, 19 ], [ 5, 76, 0 ], [ 5, 77, 11 ], [ 5, 78, 59 ], [ 5, 79, 103 ], [ 5, 80, 0 ], [ 5, 81, 103 ], [ 5, 82, 0 ], [ 5, 83, 59 ], [ 5, 84, 59 ], [ 5, 85, 29 ], [ 5, 86, 11 ], [ 5, 87, 29 ], [ 5, 88, 11 ], [ 5, 89, 59 ], [ 5, 90, 103 ], [ 5, 91, 29 ], [ 5, 92, 19 ], [ 5, 93, 29 ], [ 5, 94, 19 ], [ 5, 95, 103 ], [ 5, 96, 16 ], [ 5, 97, 19 ], [ 5, 98, 3 ], [ 5, 99, 19 ], [ 5, 100, 3 ], [ 5, 101, 16 ], [ 5, 102, 82 ], [ 5, 103, 103 ], [ 5, 104, 3 ], [ 5, 105, 103 ], [ 5, 106, 3 ], [ 5, 107, 82 ], [ 5, 108, 82 ], [ 5, 109, 29 ], [ 5, 110, 16 ], [ 5, 111, 29 ], [ 5, 112, 16 ], [ 5, 113, 82 ], [ 5, 114, 103 ], [ 5, 115, 29 ], [ 5, 116, 19 ], [ 5, 117, 29 ], [ 5, 118, 19 ], [ 5, 119, 103 ], [ 6, 0, 0 ], [ 6, 1, 0 ], [ 6, 2, 12 ], [ 6, 3, 12 ], [ 6, 4, 19 ], [ 6, 5, 19 ], [ 6, 6, 0 ], [ 6, 7, 0 ], [ 6, 8, 8 ], [ 6, 9, 8 ], [ 6, 10, 11 ], [ 6, 11, 11 ], [ 6, 12, 12 ], [ 6, 13, 12 ], [ 6, 14, 8 ], [ 6, 15, 8 ], [ 6, 16, 7 ], [ 6, 17, 7 ], [ 6, 18, 19 ], [ 6, 19, 19 ], [ 6, 20, 11 ], [ 6, 21, 11 ], [ 6, 22, 7 ], [ 6, 23, 7 ], [ 6, 24, 30 ], [ 6, 25, 30 ], [ 6, 26, 86 ], [ 6, 27, 86 ], [ 6, 28, 111 ], [ 6, 29, 111 ], [ 6, 30, 30 ], [ 6, 31, 30 ], [ 6, 32, 8 ], [ 6, 33, 8 ], [ 6, 34, 11 ], [ 6, 35, 11 ], [ 6, 36, 86 ], [ 6, 37, 86 ], [ 6, 38, 8 ], [ 6, 39, 8 ], [ 6, 40, 7 ], [ 6, 41, 7 ], [ 6, 42, 111 ], [ 6, 43, 111 ], [ 6, 44, 11 ], [ 6, 45, 11 ], [ 6, 46, 7 ], [ 6, 47, 7 ], [ 6, 48, 48 ], [ 6, 49, 48 ], [ 6, 50, 86 ], [ 6, 51, 86 ], [ 6, 52, 111 ], [ 6, 53, 111 ], [ 6, 54, 48 ], [ 6, 55, 48 ], [ 6, 56, 12 ], [ 6, 57, 12 ], [ 6, 58, 19 ], [ 6, 59, 19 ], [ 6, 60, 86 ], [ 6, 61, 86 ], [ 6, 62, 12 ], [ 6, 63, 12 ], [ 6, 64, 7 ], [ 6, 65, 7 ], [ 6, 66, 111 ], [ 6, 67, 111 ], [ 6, 68, 19 ], [ 6, 69, 19 ], [ 6, 70, 7 ], [ 6, 71, 7 ], [ 6, 72, 48 ], [ 6, 73, 48 ], [ 6, 74, 30 ], [ 6, 75, 30 ], [ 6, 76, 111 ], [ 6, 77, 111 ], [ 6, 78, 48 ], [ 6, 79, 48 ], [ 6, 80, 0 ], [ 6, 81, 0 ], [ 6, 82, 19 ], [ 6, 83, 19 ], [ 6, 84, 30 ], [ 6, 85, 30 ], [ 6, 86, 0 ], [ 6, 87, 0 ], [ 6, 88, 11 ], [ 6, 89, 11 ], [ 6, 90, 111 ], [ 6, 91, 111 ], [ 6, 92, 19 ], [ 6, 93, 19 ], [ 6, 94, 11 ], [ 6, 95, 11 ], [ 6, 96, 48 ], [ 6, 97, 48 ], [ 6, 98, 30 ], [ 6, 99, 30 ], [ 6, 100, 86 ], [ 6, 101, 86 ], [ 6, 102, 48 ], [ 6, 103, 48 ], [ 6, 104, 0 ], [ 6, 105, 0 ], [ 6, 106, 12 ], [ 6, 107, 12 ], [ 6, 108, 30 ], [ 6, 109, 30 ], [ 6, 110, 0 ], [ 6, 111, 0 ], [ 6, 112, 8 ], [ 6, 113, 8 ], [ 6, 114, 86 ], [ 6, 115, 86 ], [ 6, 116, 12 ], [ 6, 117, 12 ], [ 6, 118, 8 ], [ 6, 119, 8 ], [ 7, 0, 0 ], [ 7, 1, 0 ], [ 7, 2, 23 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 5, 16 ], [ 7, 6, 0 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 9, 16 ], [ 7, 10, 23 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 13, 23 ], [ 7, 14, 16 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 17, 0 ], [ 7, 18, 16 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 21, 23 ], [ 7, 22, 0 ], [ 7, 23, 0 ], [ 7, 24, 30 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 27, 112 ], [ 7, 28, 89 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 31, 30 ], [ 7, 32, 89 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 35, 112 ], [ 7, 36, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 39, 89 ], [ 7, 40, 30 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 43, 89 ], [ 7, 44, 112 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 47, 30 ], [ 7, 48, 48 ], [ 7, 49, 48 ], [ 7, 50, 116 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 53, 93 ], [ 7, 54, 48 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 57, 93 ], [ 7, 58, 116 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 61, 116 ], [ 7, 62, 93 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 65, 48 ], [ 7, 66, 93 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 69, 116 ], [ 7, 70, 48 ], [ 7, 71, 48 ], [ 7, 72, 51 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 75, 37 ], [ 7, 76, 81 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 79, 51 ], [ 7, 80, 81 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 83, 37 ], [ 7, 84, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 87, 81 ], [ 7, 88, 51 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 91, 81 ], [ 7, 92, 37 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 95, 51 ], [ 7, 96, 52 ], [ 7, 97, 52 ], [ 7, 98, 42 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 101, 104 ], [ 7, 102, 52 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 105, 104 ], [ 7, 106, 42 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 109, 42 ], [ 7, 110, 104 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 113, 52 ], [ 7, 114, 104 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 117, 42 ], [ 7, 118, 52 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 1, 20 ], [ 8, 2, 12 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 5, 3 ], [ 8, 6, 12 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 20 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 13, 3 ], [ 8, 14, 12 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 17, 11 ], [ 8, 18, 20 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 21, 11 ], [ 8, 22, 3 ], [ 8, 23, 7 ], [ 8, 24, 30 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 27, 112 ], [ 8, 28, 89 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 31, 89 ], [ 8, 32, 30 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 35, 7 ], [ 8, 36, 30 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 39, 7 ], [ 8, 40, 112 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 43, 112 ], [ 8, 44, 89 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 47, 7 ], [ 8, 48, 26 ], [ 8, 49, 100 ], [ 8, 50, 56 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 53, 33 ], [ 8, 54, 56 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 57, 23 ], [ 8, 58, 100 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 61, 33 ], [ 8, 62, 56 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 65, 23 ], [ 8, 66, 100 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 69, 23 ], [ 8, 70, 33 ], [ 8, 71, 3 ], [ 8, 72, 74 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 75, 108 ], [ 8, 76, 71 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 79, 71 ], [ 8, 80, 74 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 83, 16 ], [ 8, 84, 74 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 87, 16 ], [ 8, 88, 108 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 91, 108 ], [ 8, 92, 71 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 95, 16 ], [ 8, 96, 74 ], [ 8, 97, 26 ], [ 8, 98, 60 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 101, 86 ], [ 8, 102, 60 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 105, 0 ], [ 8, 106, 26 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 109, 86 ], [ 8, 110, 60 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 113, 0 ], [ 8, 114, 26 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 117, 0 ], [ 8, 118, 86 ], [ 8, 119, 12 ], [ 9, 0, 0 ], [ 9, 1, 20 ], [ 9, 2, 4 ], [ 9, 3, 12 ], [ 9, 4, 19 ], [ 9, 5, 16 ], [ 9, 6, 12 ], [ 9, 7, 16 ], [ 9, 8, 19 ], [ 9, 9, 0 ], [ 9, 10, 4 ], [ 9, 11, 20 ], [ 9, 12, 20 ], [ 9, 13, 19 ], [ 9, 14, 16 ], [ 9, 15, 4 ], [ 9, 16, 0 ], [ 9, 17, 12 ], [ 9, 18, 0 ], [ 9, 19, 4 ], [ 9, 20, 12 ], [ 9, 21, 19 ], [ 9, 22, 20 ], [ 9, 23, 16 ], [ 9, 24, 30 ], [ 9, 25, 108 ], [ 9, 26, 34 ], [ 9, 27, 86 ], [ 9, 28, 111 ], [ 9, 29, 89 ], [ 9, 30, 86 ], [ 9, 31, 89 ], [ 9, 32, 111 ], [ 9, 33, 30 ], [ 9, 34, 34 ], [ 9, 35, 108 ], [ 9, 36, 108 ], [ 9, 37, 111 ], [ 9, 38, 89 ], [ 9, 39, 34 ], [ 9, 40, 30 ], [ 9, 41, 86 ], [ 9, 42, 30 ], [ 9, 43, 34 ], [ 9, 44, 86 ], [ 9, 45, 111 ], [ 9, 46, 108 ], [ 9, 47, 89 ], [ 9, 48, 26 ], [ 9, 49, 100 ], [ 9, 50, 46 ], [ 9, 51, 56 ], [ 9, 52, 107 ], [ 9, 53, 71 ], [ 9, 54, 56 ], [ 9, 55, 71 ], [ 9, 56, 107 ], [ 9, 57, 26 ], [ 9, 58, 46 ], [ 9, 59, 100 ], [ 9, 60, 100 ], [ 9, 61, 107 ], [ 9, 62, 71 ], [ 9, 63, 46 ], [ 9, 64, 26 ], [ 9, 65, 56 ], [ 9, 66, 26 ], [ 9, 67, 46 ], [ 9, 68, 56 ], [ 9, 69, 107 ], [ 9, 70, 100 ], [ 9, 71, 71 ], [ 9, 72, 25 ], [ 9, 73, 73 ], [ 9, 74, 37 ], [ 9, 75, 55 ], [ 9, 76, 81 ], [ 9, 77, 63 ], [ 9, 78, 55 ], [ 9, 79, 63 ], [ 9, 80, 81 ], [ 9, 81, 25 ], [ 9, 82, 37 ], [ 9, 83, 73 ], [ 9, 84, 73 ], [ 9, 85, 81 ], [ 9, 86, 63 ], [ 9, 87, 37 ], [ 9, 88, 25 ], [ 9, 89, 55 ], [ 9, 90, 25 ], [ 9, 91, 37 ], [ 9, 92, 55 ], [ 9, 93, 81 ], [ 9, 94, 73 ], [ 9, 95, 63 ], [ 9, 96, 99 ], [ 9, 97, 77 ], [ 9, 98, 115 ], [ 9, 99, 67 ], [ 9, 100, 94 ], [ 9, 101, 64 ], [ 9, 102, 67 ], [ 9, 103, 64 ], [ 9, 104, 94 ], [ 9, 105, 99 ], [ 9, 106, 115 ], [ 9, 107, 77 ], [ 9, 108, 77 ], [ 9, 109, 94 ], [ 9, 110, 64 ], [ 9, 111, 115 ], [ 9, 112, 99 ], [ 9, 113, 67 ], [ 9, 114, 99 ], [ 9, 115, 115 ], [ 9, 116, 67 ], [ 9, 117, 94 ], [ 9, 118, 77 ], [ 9, 119, 64 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 23 ], [ 10, 3, 12 ], [ 10, 4, 19 ], [ 10, 5, 3 ], [ 10, 6, 19 ], [ 10, 7, 23 ], [ 10, 8, 15 ], [ 10, 9, 3 ], [ 10, 10, 0 ], [ 10, 11, 12 ], [ 10, 12, 3 ], [ 10, 13, 0 ], [ 10, 14, 12 ], [ 10, 15, 19 ], [ 10, 16, 23 ], [ 10, 17, 15 ], [ 10, 18, 12 ], [ 10, 19, 15 ], [ 10, 20, 3 ], [ 10, 21, 23 ], [ 10, 22, 19 ], [ 10, 23, 0 ], [ 10, 24, 30 ], [ 10, 25, 85 ], [ 10, 26, 112 ], [ 10, 27, 86 ], [ 10, 28, 111 ], [ 10, 29, 33 ], [ 10, 30, 111 ], [ 10, 31, 112 ], [ 10, 32, 85 ], [ 10, 33, 33 ], [ 10, 34, 30 ], [ 10, 35, 86 ], [ 10, 36, 33 ], [ 10, 37, 30 ], [ 10, 38, 86 ], [ 10, 39, 111 ], [ 10, 40, 112 ], [ 10, 41, 85 ], [ 10, 42, 86 ], [ 10, 43, 85 ], [ 10, 44, 33 ], [ 10, 45, 112 ], [ 10, 46, 111 ], [ 10, 47, 30 ], [ 10, 48, 29 ], [ 10, 49, 77 ], [ 10, 50, 64 ], [ 10, 51, 82 ], [ 10, 52, 59 ], [ 10, 53, 41 ], [ 10, 54, 59 ], [ 10, 55, 64 ], [ 10, 56, 77 ], [ 10, 57, 41 ], [ 10, 58, 29 ], [ 10, 59, 82 ], [ 10, 60, 41 ], [ 10, 61, 29 ], [ 10, 62, 82 ], [ 10, 63, 59 ], [ 10, 64, 64 ], [ 10, 65, 77 ], [ 10, 66, 82 ], [ 10, 67, 77 ], [ 10, 68, 41 ], [ 10, 69, 64 ], [ 10, 70, 59 ], [ 10, 71, 29 ], [ 10, 72, 100 ], [ 10, 73, 74 ], [ 10, 74, 60 ], [ 10, 75, 90 ], [ 10, 76, 71 ], [ 10, 77, 119 ], [ 10, 78, 71 ], [ 10, 79, 60 ], [ 10, 80, 74 ], [ 10, 81, 119 ], [ 10, 82, 100 ], [ 10, 83, 90 ], [ 10, 84, 119 ], [ 10, 85, 100 ], [ 10, 86, 90 ], [ 10, 87, 71 ], [ 10, 88, 60 ], [ 10, 89, 74 ], [ 10, 90, 90 ], [ 10, 91, 74 ], [ 10, 92, 119 ], [ 10, 93, 60 ], [ 10, 94, 71 ], [ 10, 95, 100 ], [ 10, 96, 96 ], [ 10, 97, 25 ], [ 10, 98, 55 ], [ 10, 99, 42 ], [ 10, 100, 68 ], [ 10, 101, 104 ], [ 10, 102, 68 ], [ 10, 103, 55 ], [ 10, 104, 25 ], [ 10, 105, 104 ], [ 10, 106, 96 ], [ 10, 107, 42 ], [ 10, 108, 104 ], [ 10, 109, 96 ], [ 10, 110, 42 ], [ 10, 111, 68 ], [ 10, 112, 55 ], [ 10, 113, 25 ], [ 10, 114, 42 ], [ 10, 115, 25 ], [ 10, 116, 104 ], [ 10, 117, 55 ], [ 10, 118, 68 ], [ 10, 119, 96 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 4 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 5, 19 ], [ 11, 6, 19 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 9, 15 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 13, 15 ], [ 11, 14, 8 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 17, 4 ], [ 11, 18, 4 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 21, 19 ], [ 11, 22, 8 ], [ 11, 23, 16 ], [ 11, 24, 30 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 27, 112 ], [ 11, 28, 89 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 31, 112 ], [ 11, 32, 7 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 35, 30 ], [ 11, 36, 89 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 39, 112 ], [ 11, 40, 7 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 43, 30 ], [ 11, 44, 7 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 47, 89 ], [ 11, 48, 29 ], [ 11, 49, 77 ], [ 11, 50, 34 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 53, 59 ], [ 11, 54, 59 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 57, 77 ], [ 11, 58, 16 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 61, 77 ], [ 11, 62, 16 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 65, 34 ], [ 11, 66, 34 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 69, 59 ], [ 11, 70, 16 ], [ 11, 71, 89 ], [ 11, 72, 29 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 75, 67 ], [ 11, 76, 111 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 79, 67 ], [ 11, 80, 0 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 83, 29 ], [ 11, 84, 111 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 87, 67 ], [ 11, 88, 0 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 91, 29 ], [ 11, 92, 0 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 95, 111 ], [ 11, 96, 77 ], [ 11, 97, 99 ], [ 11, 98, 85 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 101, 64 ], [ 11, 102, 64 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 105, 99 ], [ 11, 106, 23 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 109, 99 ], [ 11, 110, 23 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 113, 85 ], [ 11, 114, 85 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 117, 64 ], [ 11, 118, 23 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 1, 4 ], [ 12, 2, 8 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 5, 19 ], [ 12, 6, 8 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 9, 15 ], [ 12, 10, 4 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 19 ], [ 12, 14, 8 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 17, 15 ], [ 12, 18, 4 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 21, 15 ], [ 12, 22, 19 ], [ 12, 23, 16 ], [ 12, 24, 38 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 27, 63 ], [ 12, 28, 115 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 31, 115 ], [ 12, 32, 38 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 35, 16 ], [ 12, 36, 38 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 39, 16 ], [ 12, 40, 63 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 43, 63 ], [ 12, 44, 115 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 47, 16 ], [ 12, 48, 86 ], [ 12, 49, 93 ], [ 12, 50, 48 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 53, 116 ], [ 12, 54, 48 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 57, 7 ], [ 12, 58, 93 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 61, 116 ], [ 12, 62, 48 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 65, 7 ], [ 12, 66, 93 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 69, 7 ], [ 12, 70, 116 ], [ 12, 71, 19 ], [ 12, 72, 78 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 75, 41 ], [ 12, 76, 96 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 79, 96 ], [ 12, 80, 78 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 83, 23 ], [ 12, 84, 78 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 87, 23 ], [ 12, 88, 41 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 91, 41 ], [ 12, 92, 96 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 95, 23 ], [ 12, 96, 78 ], [ 12, 97, 86 ], [ 12, 98, 26 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 101, 60 ], [ 12, 102, 26 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 105, 0 ], [ 12, 106, 86 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 109, 60 ], [ 12, 110, 26 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 113, 0 ], [ 12, 114, 86 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 117, 0 ], [ 12, 118, 60 ], [ 12, 119, 8 ], [ 13, 0, 0 ], [ 13, 1, 4 ], [ 13, 2, 23 ], [ 13, 3, 20 ], [ 13, 4, 8 ], [ 13, 5, 11 ], [ 13, 6, 8 ], [ 13, 7, 23 ], [ 13, 8, 4 ], [ 13, 9, 11 ], [ 13, 10, 0 ], [ 13, 11, 20 ], [ 13, 12, 11 ], [ 13, 13, 0 ], [ 13, 14, 20 ], [ 13, 15, 8 ], [ 13, 16, 23 ], [ 13, 17, 4 ], [ 13, 18, 20 ], [ 13, 19, 4 ], [ 13, 20, 11 ], [ 13, 21, 23 ], [ 13, 22, 8 ], [ 13, 23, 0 ], [ 13, 24, 38 ], [ 13, 25, 41 ], [ 13, 26, 115 ], [ 13, 27, 119 ], [ 13, 28, 60 ], [ 13, 29, 64 ], [ 13, 30, 60 ], [ 13, 31, 115 ], [ 13, 32, 41 ], [ 13, 33, 64 ], [ 13, 34, 38 ], [ 13, 35, 119 ], [ 13, 36, 64 ], [ 13, 37, 38 ], [ 13, 38, 119 ], [ 13, 39, 60 ], [ 13, 40, 115 ], [ 13, 41, 41 ], [ 13, 42, 119 ], [ 13, 43, 41 ], [ 13, 44, 64 ], [ 13, 45, 115 ], [ 13, 46, 60 ], [ 13, 47, 38 ], [ 13, 48, 86 ], [ 13, 49, 93 ], [ 13, 50, 96 ], [ 13, 51, 111 ], [ 13, 52, 48 ], [ 13, 53, 68 ], [ 13, 54, 48 ], [ 13, 55, 96 ], [ 13, 56, 93 ], [ 13, 57, 68 ], [ 13, 58, 86 ], [ 13, 59, 111 ], [ 13, 60, 68 ], [ 13, 61, 86 ], [ 13, 62, 111 ], [ 13, 63, 48 ], [ 13, 64, 96 ], [ 13, 65, 93 ], [ 13, 66, 111 ], [ 13, 67, 93 ], [ 13, 68, 68 ], [ 13, 69, 96 ], [ 13, 70, 48 ], [ 13, 71, 86 ], [ 13, 72, 85 ], [ 13, 73, 81 ], [ 13, 74, 25 ], [ 13, 75, 33 ], [ 13, 76, 51 ], [ 13, 77, 55 ], [ 13, 78, 51 ], [ 13, 79, 25 ], [ 13, 80, 81 ], [ 13, 81, 55 ], [ 13, 82, 85 ], [ 13, 83, 33 ], [ 13, 84, 55 ], [ 13, 85, 85 ], [ 13, 86, 33 ], [ 13, 87, 51 ], [ 13, 88, 25 ], [ 13, 89, 81 ], [ 13, 90, 33 ], [ 13, 91, 81 ], [ 13, 92, 55 ], [ 13, 93, 25 ], [ 13, 94, 51 ], [ 13, 95, 85 ], [ 13, 96, 90 ], [ 13, 97, 82 ], [ 13, 98, 29 ], [ 13, 99, 46 ], [ 13, 100, 100 ], [ 13, 101, 103 ], [ 13, 102, 100 ], [ 13, 103, 29 ], [ 13, 104, 82 ], [ 13, 105, 103 ], [ 13, 106, 90 ], [ 13, 107, 46 ], [ 13, 108, 103 ], [ 13, 109, 90 ], [ 13, 110, 46 ], [ 13, 111, 100 ], [ 13, 112, 29 ], [ 13, 113, 82 ], [ 13, 114, 46 ], [ 13, 115, 82 ], [ 13, 116, 103 ], [ 13, 117, 29 ], [ 13, 118, 100 ], [ 13, 119, 90 ], [ 14, 0, 0 ], [ 14, 1, 20 ], [ 14, 2, 8 ], [ 14, 3, 20 ], [ 14, 4, 8 ], [ 14, 5, 0 ], [ 14, 6, 12 ], [ 14, 7, 16 ], [ 14, 8, 8 ], [ 14, 9, 16 ], [ 14, 10, 8 ], [ 14, 11, 12 ], [ 14, 12, 12 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 15 ], [ 14, 16, 0 ], [ 14, 17, 12 ], [ 14, 18, 16 ], [ 14, 19, 15 ], [ 14, 20, 20 ], [ 14, 21, 15 ], [ 14, 22, 20 ], [ 14, 23, 16 ], [ 14, 24, 38 ], [ 14, 25, 119 ], [ 14, 26, 60 ], [ 14, 27, 119 ], [ 14, 28, 60 ], [ 14, 29, 38 ], [ 14, 30, 12 ], [ 14, 31, 16 ], [ 14, 32, 60 ], [ 14, 33, 16 ], [ 14, 34, 60 ], [ 14, 35, 12 ], [ 14, 36, 12 ], [ 14, 37, 15 ], [ 14, 38, 38 ], [ 14, 39, 15 ], [ 14, 40, 38 ], [ 14, 41, 12 ], [ 14, 42, 16 ], [ 14, 43, 15 ], [ 14, 44, 119 ], [ 14, 45, 15 ], [ 14, 46, 119 ], [ 14, 47, 16 ], [ 14, 48, 38 ], [ 14, 49, 119 ], [ 14, 50, 74 ], [ 14, 51, 119 ], [ 14, 52, 74 ], [ 14, 53, 38 ], [ 14, 54, 0 ], [ 14, 55, 20 ], [ 14, 56, 74 ], [ 14, 57, 20 ], [ 14, 58, 74 ], [ 14, 59, 0 ], [ 14, 60, 0 ], [ 14, 61, 15 ], [ 14, 62, 38 ], [ 14, 63, 15 ], [ 14, 64, 38 ], [ 14, 65, 0 ], [ 14, 66, 20 ], [ 14, 67, 15 ], [ 14, 68, 119 ], [ 14, 69, 15 ], [ 14, 70, 119 ], [ 14, 71, 20 ], [ 14, 72, 60 ], [ 14, 73, 119 ], [ 14, 74, 74 ], [ 14, 75, 119 ], [ 14, 76, 74 ], [ 14, 77, 60 ], [ 14, 78, 8 ], [ 14, 79, 20 ], [ 14, 80, 74 ], [ 14, 81, 20 ], [ 14, 82, 74 ], [ 14, 83, 8 ], [ 14, 84, 8 ], [ 14, 85, 16 ], [ 14, 86, 60 ], [ 14, 87, 16 ], [ 14, 88, 60 ], [ 14, 89, 8 ], [ 14, 90, 20 ], [ 14, 91, 16 ], [ 14, 92, 119 ], [ 14, 93, 16 ], [ 14, 94, 119 ], [ 14, 95, 20 ], [ 14, 96, 60 ], [ 14, 97, 38 ], [ 14, 98, 74 ], [ 14, 99, 38 ], [ 14, 100, 74 ], [ 14, 101, 60 ], [ 14, 102, 8 ], [ 14, 103, 0 ], [ 14, 104, 74 ], [ 14, 105, 0 ], [ 14, 106, 74 ], [ 14, 107, 8 ], [ 14, 108, 8 ], [ 14, 109, 12 ], [ 14, 110, 60 ], [ 14, 111, 12 ], [ 14, 112, 60 ], [ 14, 113, 8 ], [ 14, 114, 0 ], [ 14, 115, 12 ], [ 14, 116, 38 ], [ 14, 117, 12 ], [ 14, 118, 38 ], [ 14, 119, 0 ], [ 15, 0, 0 ], [ 15, 1, 20 ], [ 15, 2, 3 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 5, 11 ], [ 15, 6, 12 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 9, 3 ], [ 15, 10, 11 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 13, 12 ], [ 15, 14, 20 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 17, 11 ], [ 15, 18, 12 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 21, 20 ], [ 15, 22, 3 ], [ 15, 23, 7 ], [ 15, 24, 38 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 27, 63 ], [ 15, 28, 115 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 31, 16 ], [ 15, 32, 63 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 35, 115 ], [ 15, 36, 16 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 39, 38 ], [ 15, 40, 115 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 43, 16 ], [ 15, 44, 38 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 47, 63 ], [ 15, 48, 38 ], [ 15, 49, 119 ], [ 15, 50, 25 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 53, 94 ], [ 15, 54, 0 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 57, 25 ], [ 15, 58, 94 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 61, 0 ], [ 15, 62, 119 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 65, 94 ], [ 15, 66, 0 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 69, 119 ], [ 15, 70, 25 ], [ 15, 71, 81 ], [ 15, 72, 37 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 75, 81 ], [ 15, 76, 51 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 79, 7 ], [ 15, 80, 81 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 83, 51 ], [ 15, 84, 7 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 87, 37 ], [ 15, 88, 51 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 91, 7 ], [ 15, 92, 37 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 95, 81 ], [ 15, 96, 115 ], [ 15, 97, 64 ], [ 15, 98, 99 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 101, 85 ], [ 15, 102, 23 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 105, 99 ], [ 15, 106, 85 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 109, 23 ], [ 15, 110, 64 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 113, 85 ], [ 15, 114, 23 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 117, 64 ], [ 15, 118, 99 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 1, 7 ], [ 16, 2, 23 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 5, 0 ], [ 16, 6, 7 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 9, 0 ], [ 16, 10, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 13, 23 ], [ 16, 14, 0 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 17, 7 ], [ 16, 18, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 21, 23 ], [ 16, 22, 7 ], [ 16, 23, 0 ], [ 16, 24, 38 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 27, 63 ], [ 16, 28, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 31, 38 ], [ 16, 32, 115 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 35, 63 ], [ 16, 36, 63 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 39, 115 ], [ 16, 40, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 43, 115 ], [ 16, 44, 63 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 47, 38 ], [ 16, 48, 34 ], [ 16, 49, 59 ], [ 16, 50, 77 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 53, 34 ], [ 16, 54, 59 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 57, 34 ], [ 16, 58, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 61, 77 ], [ 16, 62, 34 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 65, 59 ], [ 16, 66, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 69, 77 ], [ 16, 70, 59 ], [ 16, 71, 34 ], [ 16, 72, 108 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 75, 71 ], [ 16, 76, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 79, 108 ], [ 16, 80, 74 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 83, 71 ], [ 16, 84, 71 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 87, 74 ], [ 16, 88, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 91, 74 ], [ 16, 92, 71 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 95, 108 ], [ 16, 96, 103 ], [ 16, 97, 46 ], [ 16, 98, 73 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 101, 103 ], [ 16, 102, 46 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 105, 103 ], [ 16, 106, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 109, 73 ], [ 16, 110, 103 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 113, 46 ], [ 16, 114, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 117, 73 ], [ 16, 118, 46 ], [ 16, 119, 103 ], [ 17, 0, 0 ], [ 17, 1, 7 ], [ 17, 2, 3 ], [ 17, 3, 20 ], [ 17, 4, 8 ], [ 17, 5, 19 ], [ 17, 6, 7 ], [ 17, 7, 0 ], [ 17, 8, 19 ], [ 17, 9, 8 ], [ 17, 10, 20 ], [ 17, 11, 3 ], [ 17, 12, 20 ], [ 17, 13, 3 ], [ 17, 14, 8 ], [ 17, 15, 19 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 19 ], [ 17, 19, 8 ], [ 17, 20, 3 ], [ 17, 21, 20 ], [ 17, 22, 0 ], [ 17, 23, 7 ], [ 17, 24, 38 ], [ 17, 25, 63 ], [ 17, 26, 37 ], [ 17, 27, 119 ], [ 17, 28, 60 ], [ 17, 29, 116 ], [ 17, 30, 63 ], [ 17, 31, 38 ], [ 17, 32, 116 ], [ 17, 33, 60 ], [ 17, 34, 119 ], [ 17, 35, 37 ], [ 17, 36, 119 ], [ 17, 37, 37 ], [ 17, 38, 60 ], [ 17, 39, 116 ], [ 17, 40, 63 ], [ 17, 41, 38 ], [ 17, 42, 116 ], [ 17, 43, 60 ], [ 17, 44, 37 ], [ 17, 45, 119 ], [ 17, 46, 38 ], [ 17, 47, 63 ], [ 17, 48, 34 ], [ 17, 49, 59 ], [ 17, 50, 29 ], [ 17, 51, 89 ], [ 17, 52, 52 ], [ 17, 53, 82 ], [ 17, 54, 59 ], [ 17, 55, 34 ], [ 17, 56, 82 ], [ 17, 57, 52 ], [ 17, 58, 89 ], [ 17, 59, 29 ], [ 17, 60, 89 ], [ 17, 61, 29 ], [ 17, 62, 52 ], [ 17, 63, 82 ], [ 17, 64, 59 ], [ 17, 65, 34 ], [ 17, 66, 82 ], [ 17, 67, 52 ], [ 17, 68, 29 ], [ 17, 69, 89 ], [ 17, 70, 34 ], [ 17, 71, 59 ], [ 17, 72, 42 ], [ 17, 73, 107 ], [ 17, 74, 26 ], [ 17, 75, 93 ], [ 17, 76, 96 ], [ 17, 77, 78 ], [ 17, 78, 107 ], [ 17, 79, 42 ], [ 17, 80, 78 ], [ 17, 81, 96 ], [ 17, 82, 93 ], [ 17, 83, 26 ], [ 17, 84, 93 ], [ 17, 85, 26 ], [ 17, 86, 96 ], [ 17, 87, 78 ], [ 17, 88, 107 ], [ 17, 89, 42 ], [ 17, 90, 78 ], [ 17, 91, 96 ], [ 17, 92, 26 ], [ 17, 93, 93 ], [ 17, 94, 42 ], [ 17, 95, 107 ], [ 17, 96, 67 ], [ 17, 97, 112 ], [ 17, 98, 51 ], [ 17, 99, 94 ], [ 17, 100, 99 ], [ 17, 101, 85 ], [ 17, 102, 112 ], [ 17, 103, 67 ], [ 17, 104, 85 ], [ 17, 105, 99 ], [ 17, 106, 94 ], [ 17, 107, 51 ], [ 17, 108, 94 ], [ 17, 109, 51 ], [ 17, 110, 99 ], [ 17, 111, 85 ], [ 17, 112, 112 ], [ 17, 113, 67 ], [ 17, 114, 85 ], [ 17, 115, 99 ], [ 17, 116, 51 ], [ 17, 117, 94 ], [ 17, 118, 67 ], [ 17, 119, 112 ], [ 18, 0, 0 ], [ 18, 1, 3 ], [ 18, 2, 8 ], [ 18, 3, 11 ], [ 18, 4, 15 ], [ 18, 5, 16 ], [ 18, 6, 11 ], [ 18, 7, 16 ], [ 18, 8, 15 ], [ 18, 9, 0 ], [ 18, 10, 8 ], [ 18, 11, 3 ], [ 18, 12, 3 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 8 ], [ 18, 16, 0 ], [ 18, 17, 11 ], [ 18, 18, 0 ], [ 18, 19, 8 ], [ 18, 20, 11 ], [ 18, 21, 15 ], [ 18, 22, 3 ], [ 18, 23, 16 ], [ 18, 24, 45 ], [ 18, 25, 46 ], [ 18, 26, 71 ], [ 18, 27, 67 ], [ 18, 28, 94 ], [ 18, 29, 90 ], [ 18, 30, 67 ], [ 18, 31, 90 ], [ 18, 32, 94 ], [ 18, 33, 45 ], [ 18, 34, 71 ], [ 18, 35, 46 ], [ 18, 36, 46 ], [ 18, 37, 94 ], [ 18, 38, 90 ], [ 18, 39, 71 ], [ 18, 40, 45 ], [ 18, 41, 67 ], [ 18, 42, 45 ], [ 18, 43, 71 ], [ 18, 44, 67 ], [ 18, 45, 94 ], [ 18, 46, 46 ], [ 18, 47, 90 ], [ 18, 48, 111 ], [ 18, 49, 116 ], [ 18, 50, 63 ], [ 18, 51, 48 ], [ 18, 52, 86 ], [ 18, 53, 73 ], [ 18, 54, 48 ], [ 18, 55, 73 ], [ 18, 56, 86 ], [ 18, 57, 111 ], [ 18, 58, 63 ], [ 18, 59, 116 ], [ 18, 60, 116 ], [ 18, 61, 86 ], [ 18, 62, 73 ], [ 18, 63, 63 ], [ 18, 64, 111 ], [ 18, 65, 48 ], [ 18, 66, 111 ], [ 18, 67, 63 ], [ 18, 68, 48 ], [ 18, 69, 86 ], [ 18, 70, 116 ], [ 18, 71, 73 ], [ 18, 72, 107 ], [ 18, 73, 115 ], [ 18, 74, 41 ], [ 18, 75, 26 ], [ 18, 76, 78 ], [ 18, 77, 77 ], [ 18, 78, 26 ], [ 18, 79, 77 ], [ 18, 80, 78 ], [ 18, 81, 107 ], [ 18, 82, 41 ], [ 18, 83, 115 ], [ 18, 84, 115 ], [ 18, 85, 78 ], [ 18, 86, 77 ], [ 18, 87, 41 ], [ 18, 88, 107 ], [ 18, 89, 26 ], [ 18, 90, 107 ], [ 18, 91, 41 ], [ 18, 92, 26 ], [ 18, 93, 78 ], [ 18, 94, 115 ], [ 18, 95, 77 ], [ 18, 96, 104 ], [ 18, 97, 108 ], [ 18, 98, 34 ], [ 18, 99, 25 ], [ 18, 100, 55 ], [ 18, 101, 52 ], [ 18, 102, 25 ], [ 18, 103, 52 ], [ 18, 104, 55 ], [ 18, 105, 104 ], [ 18, 106, 34 ], [ 18, 107, 108 ], [ 18, 108, 108 ], [ 18, 109, 55 ], [ 18, 110, 52 ], [ 18, 111, 34 ], [ 18, 112, 104 ], [ 18, 113, 25 ], [ 18, 114, 104 ], [ 18, 115, 34 ], [ 18, 116, 25 ], [ 18, 117, 55 ], [ 18, 118, 108 ], [ 18, 119, 52 ], [ 19, 0, 0 ], [ 19, 1, 3 ], [ 19, 2, 12 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 5, 11 ], [ 19, 6, 11 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 9, 3 ], [ 19, 10, 20 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 13, 3 ], [ 19, 14, 20 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 17, 12 ], [ 19, 18, 12 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 21, 11 ], [ 19, 22, 20 ], [ 19, 23, 7 ], [ 19, 24, 45 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 27, 90 ], [ 19, 28, 68 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 31, 90 ], [ 19, 32, 23 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 35, 45 ], [ 19, 36, 68 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 39, 90 ], [ 19, 40, 23 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 43, 45 ], [ 19, 44, 23 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 47, 68 ], [ 19, 48, 111 ], [ 19, 49, 116 ], [ 19, 50, 93 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 53, 48 ], [ 19, 54, 48 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 57, 116 ], [ 19, 58, 7 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 61, 116 ], [ 19, 62, 7 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 65, 93 ], [ 19, 66, 93 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 69, 48 ], [ 19, 70, 7 ], [ 19, 71, 68 ], [ 19, 72, 111 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 75, 29 ], [ 19, 76, 67 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 79, 29 ], [ 19, 80, 0 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 83, 111 ], [ 19, 84, 67 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 87, 29 ], [ 19, 88, 0 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 91, 111 ], [ 19, 92, 0 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 95, 67 ], [ 19, 96, 116 ], [ 19, 97, 103 ], [ 19, 98, 46 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 101, 73 ], [ 19, 102, 73 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 105, 103 ], [ 19, 106, 16 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 109, 103 ], [ 19, 110, 16 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 113, 46 ], [ 19, 114, 46 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 117, 73 ], [ 19, 118, 16 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 1, 15 ], [ 20, 2, 8 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 5, 4 ], [ 20, 6, 19 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 9, 8 ], [ 20, 10, 4 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 13, 19 ], [ 20, 14, 15 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 17, 4 ], [ 20, 18, 19 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 21, 15 ], [ 20, 22, 8 ], [ 20, 23, 16 ], [ 20, 24, 45 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 27, 90 ], [ 20, 28, 68 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 31, 23 ], [ 20, 32, 90 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 35, 68 ], [ 20, 36, 23 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 39, 45 ], [ 20, 40, 68 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 43, 23 ], [ 20, 44, 45 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 47, 90 ], [ 20, 48, 45 ], [ 20, 49, 94 ], [ 20, 50, 119 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 53, 25 ], [ 20, 54, 0 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 57, 119 ], [ 20, 58, 25 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 61, 0 ], [ 20, 62, 94 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 65, 25 ], [ 20, 66, 0 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 69, 94 ], [ 20, 70, 119 ], [ 20, 71, 74 ], [ 20, 72, 71 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 75, 74 ], [ 20, 76, 108 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 79, 16 ], [ 20, 80, 74 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 83, 108 ], [ 20, 84, 16 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 87, 71 ], [ 20, 88, 108 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 91, 16 ], [ 20, 92, 71 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 95, 74 ], [ 20, 96, 68 ], [ 20, 97, 42 ], [ 20, 98, 104 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 101, 52 ], [ 20, 102, 7 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 105, 104 ], [ 20, 106, 52 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 109, 7 ], [ 20, 110, 42 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 113, 52 ], [ 20, 114, 7 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 117, 42 ], [ 20, 118, 104 ], [ 20, 119, 25 ], [ 21, 0, 0 ], [ 21, 1, 15 ], [ 21, 2, 0 ], [ 21, 3, 11 ], [ 21, 4, 15 ], [ 21, 5, 11 ], [ 21, 6, 19 ], [ 21, 7, 23 ], [ 21, 8, 19 ], [ 21, 9, 11 ], [ 21, 10, 23 ], [ 21, 11, 11 ], [ 21, 12, 20 ], [ 21, 13, 23 ], [ 21, 14, 20 ], [ 21, 15, 15 ], [ 21, 16, 23 ], [ 21, 17, 15 ], [ 21, 18, 20 ], [ 21, 19, 19 ], [ 21, 20, 20 ], [ 21, 21, 0 ], [ 21, 22, 19 ], [ 21, 23, 0 ], [ 21, 24, 45 ], [ 21, 25, 94 ], [ 21, 26, 45 ], [ 21, 27, 67 ], [ 21, 28, 94 ], [ 21, 29, 67 ], [ 21, 30, 19 ], [ 21, 31, 23 ], [ 21, 32, 19 ], [ 21, 33, 67 ], [ 21, 34, 23 ], [ 21, 35, 67 ], [ 21, 36, 20 ], [ 21, 37, 23 ], [ 21, 38, 20 ], [ 21, 39, 94 ], [ 21, 40, 23 ], [ 21, 41, 94 ], [ 21, 42, 20 ], [ 21, 43, 19 ], [ 21, 44, 20 ], [ 21, 45, 45 ], [ 21, 46, 19 ], [ 21, 47, 45 ], [ 21, 48, 45 ], [ 21, 49, 94 ], [ 21, 50, 45 ], [ 21, 51, 99 ], [ 21, 52, 94 ], [ 21, 53, 99 ], [ 21, 54, 0 ], [ 21, 55, 15 ], [ 21, 56, 0 ], [ 21, 57, 99 ], [ 21, 58, 15 ], [ 21, 59, 99 ], [ 21, 60, 20 ], [ 21, 61, 15 ], [ 21, 62, 20 ], [ 21, 63, 94 ], [ 21, 64, 15 ], [ 21, 65, 94 ], [ 21, 66, 20 ], [ 21, 67, 0 ], [ 21, 68, 20 ], [ 21, 69, 45 ], [ 21, 70, 0 ], [ 21, 71, 45 ], [ 21, 72, 45 ], [ 21, 73, 67 ], [ 21, 74, 45 ], [ 21, 75, 99 ], [ 21, 76, 67 ], [ 21, 77, 99 ], [ 21, 78, 0 ], [ 21, 79, 11 ], [ 21, 80, 0 ], [ 21, 81, 99 ], [ 21, 82, 11 ], [ 21, 83, 99 ], [ 21, 84, 19 ], [ 21, 85, 11 ], [ 21, 86, 19 ], [ 21, 87, 67 ], [ 21, 88, 11 ], [ 21, 89, 67 ], [ 21, 90, 19 ], [ 21, 91, 0 ], [ 21, 92, 19 ], [ 21, 93, 45 ], [ 21, 94, 0 ], [ 21, 95, 45 ], [ 21, 96, 94 ], [ 21, 97, 67 ], [ 21, 98, 94 ], [ 21, 99, 99 ], [ 21, 100, 67 ], [ 21, 101, 99 ], [ 21, 102, 15 ], [ 21, 103, 11 ], [ 21, 104, 15 ], [ 21, 105, 99 ], [ 21, 106, 11 ], [ 21, 107, 99 ], [ 21, 108, 23 ], [ 21, 109, 11 ], [ 21, 110, 23 ], [ 21, 111, 67 ], [ 21, 112, 11 ], [ 21, 113, 67 ], [ 21, 114, 23 ], [ 21, 115, 15 ], [ 21, 116, 23 ], [ 21, 117, 94 ], [ 21, 118, 15 ], [ 21, 119, 94 ], [ 22, 0, 0 ], [ 22, 1, 7 ], [ 22, 2, 12 ], [ 22, 3, 11 ], [ 22, 4, 15 ], [ 22, 5, 4 ], [ 22, 6, 7 ], [ 22, 7, 0 ], [ 22, 8, 4 ], [ 22, 9, 15 ], [ 22, 10, 11 ], [ 22, 11, 12 ], [ 22, 12, 11 ], [ 22, 13, 12 ], [ 22, 14, 15 ], [ 22, 15, 4 ], [ 22, 16, 7 ], [ 22, 17, 0 ], [ 22, 18, 4 ], [ 22, 19, 15 ], [ 22, 20, 12 ], [ 22, 21, 11 ], [ 22, 22, 0 ], [ 22, 23, 7 ], [ 22, 24, 45 ], [ 22, 25, 68 ], [ 22, 26, 93 ], [ 22, 27, 67 ], [ 22, 28, 94 ], [ 22, 29, 42 ], [ 22, 30, 68 ], [ 22, 31, 45 ], [ 22, 32, 42 ], [ 22, 33, 94 ], [ 22, 34, 67 ], [ 22, 35, 93 ], [ 22, 36, 67 ], [ 22, 37, 93 ], [ 22, 38, 94 ], [ 22, 39, 42 ], [ 22, 40, 68 ], [ 22, 41, 45 ], [ 22, 42, 42 ], [ 22, 43, 94 ], [ 22, 44, 93 ], [ 22, 45, 67 ], [ 22, 46, 45 ], [ 22, 47, 68 ], [ 22, 48, 33 ], [ 22, 49, 56 ], [ 22, 50, 107 ], [ 22, 51, 51 ], [ 22, 52, 112 ], [ 22, 53, 26 ], [ 22, 54, 56 ], [ 22, 55, 33 ], [ 22, 56, 26 ], [ 22, 57, 112 ], [ 22, 58, 51 ], [ 22, 59, 107 ], [ 22, 60, 51 ], [ 22, 61, 107 ], [ 22, 62, 112 ], [ 22, 63, 26 ], [ 22, 64, 56 ], [ 22, 65, 33 ], [ 22, 66, 26 ], [ 22, 67, 112 ], [ 22, 68, 107 ], [ 22, 69, 51 ], [ 22, 70, 33 ], [ 22, 71, 56 ], [ 22, 72, 89 ], [ 22, 73, 60 ], [ 22, 74, 119 ], [ 22, 75, 52 ], [ 22, 76, 108 ], [ 22, 77, 74 ], [ 22, 78, 60 ], [ 22, 79, 89 ], [ 22, 80, 74 ], [ 22, 81, 108 ], [ 22, 82, 52 ], [ 22, 83, 119 ], [ 22, 84, 52 ], [ 22, 85, 119 ], [ 22, 86, 108 ], [ 22, 87, 74 ], [ 22, 88, 60 ], [ 22, 89, 89 ], [ 22, 90, 74 ], [ 22, 91, 108 ], [ 22, 92, 119 ], [ 22, 93, 52 ], [ 22, 94, 89 ], [ 22, 95, 60 ], [ 22, 96, 82 ], [ 22, 97, 37 ], [ 22, 98, 116 ], [ 22, 99, 29 ], [ 22, 100, 103 ], [ 22, 101, 73 ], [ 22, 102, 37 ], [ 22, 103, 82 ], [ 22, 104, 73 ], [ 22, 105, 103 ], [ 22, 106, 29 ], [ 22, 107, 116 ], [ 22, 108, 29 ], [ 22, 109, 116 ], [ 22, 110, 103 ], [ 22, 111, 73 ], [ 22, 112, 37 ], [ 22, 113, 82 ], [ 22, 114, 73 ], [ 22, 115, 103 ], [ 22, 116, 116 ], [ 22, 117, 29 ], [ 22, 118, 82 ], [ 22, 119, 37 ], [ 23, 0, 0 ], [ 23, 1, 7 ], [ 23, 2, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 5, 16 ], [ 23, 6, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 9, 16 ], [ 23, 10, 0 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 13, 0 ], [ 23, 14, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 17, 7 ], [ 23, 18, 16 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 21, 0 ], [ 23, 22, 7 ], [ 23, 23, 0 ], [ 23, 24, 45 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 27, 90 ], [ 23, 28, 68 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 31, 45 ], [ 23, 32, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 35, 90 ], [ 23, 36, 90 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 39, 68 ], [ 23, 40, 45 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 43, 68 ], [ 23, 44, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 47, 45 ], [ 23, 48, 33 ], [ 23, 49, 56 ], [ 23, 50, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 53, 100 ], [ 23, 54, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 57, 100 ], [ 23, 58, 33 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 61, 33 ], [ 23, 62, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 65, 56 ], [ 23, 66, 100 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 69, 33 ], [ 23, 70, 56 ], [ 23, 71, 33 ], [ 23, 72, 41 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 75, 96 ], [ 23, 76, 78 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 79, 41 ], [ 23, 80, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 83, 96 ], [ 23, 84, 96 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 87, 78 ], [ 23, 88, 41 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 91, 78 ], [ 23, 92, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 95, 41 ], [ 23, 96, 64 ], [ 23, 97, 85 ], [ 23, 98, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 101, 99 ], [ 23, 102, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 105, 99 ], [ 23, 106, 64 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 109, 64 ], [ 23, 110, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 113, 85 ], [ 23, 114, 99 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 117, 64 ], [ 23, 118, 85 ], [ 23, 119, 64 ], [ 24, 0, 0 ], [ 24, 1, 0 ], [ 24, 2, 0 ], [ 24, 3, 0 ], [ 24, 4, 0 ], [ 24, 5, 0 ], [ 24, 6, 48 ], [ 24, 7, 48 ], [ 24, 8, 48 ], [ 24, 9, 48 ], [ 24, 10, 48 ], [ 24, 11, 48 ], [ 24, 12, 74 ], [ 24, 13, 74 ], [ 24, 14, 74 ], [ 24, 15, 74 ], [ 24, 16, 74 ], [ 24, 17, 74 ], [ 24, 18, 99 ], [ 24, 19, 99 ], [ 24, 20, 99 ], [ 24, 21, 99 ], [ 24, 22, 99 ], [ 24, 23, 99 ], [ 24, 24, 0 ], [ 24, 25, 0 ], [ 24, 26, 0 ], [ 24, 27, 0 ], [ 24, 28, 0 ], [ 24, 29, 0 ], [ 24, 30, 30 ], [ 24, 31, 30 ], [ 24, 32, 30 ], [ 24, 33, 30 ], [ 24, 34, 30 ], [ 24, 35, 30 ], [ 24, 36, 38 ], [ 24, 37, 38 ], [ 24, 38, 38 ], [ 24, 39, 38 ], [ 24, 40, 38 ], [ 24, 41, 38 ], [ 24, 42, 45 ], [ 24, 43, 45 ], [ 24, 44, 45 ], [ 24, 45, 45 ], [ 24, 46, 45 ], [ 24, 47, 45 ], [ 24, 48, 48 ], [ 24, 49, 48 ], [ 24, 50, 48 ], [ 24, 51, 48 ], [ 24, 52, 48 ], [ 24, 53, 48 ], [ 24, 54, 30 ], [ 24, 55, 30 ], [ 24, 56, 30 ], [ 24, 57, 30 ], [ 24, 58, 30 ], [ 24, 59, 30 ], [ 24, 60, 26 ], [ 24, 61, 26 ], [ 24, 62, 26 ], [ 24, 63, 26 ], [ 24, 64, 26 ], [ 24, 65, 26 ], [ 24, 66, 29 ], [ 24, 67, 29 ], [ 24, 68, 29 ], [ 24, 69, 29 ], [ 24, 70, 29 ], [ 24, 71, 29 ], [ 24, 72, 74 ], [ 24, 73, 74 ], [ 24, 74, 74 ], [ 24, 75, 74 ], [ 24, 76, 74 ], [ 24, 77, 74 ], [ 24, 78, 38 ], [ 24, 79, 38 ], [ 24, 80, 38 ], [ 24, 81, 38 ], [ 24, 82, 38 ], [ 24, 83, 38 ], [ 24, 84, 26 ], [ 24, 85, 26 ], [ 24, 86, 26 ], [ 24, 87, 26 ], [ 24, 88, 26 ], [ 24, 89, 26 ], [ 24, 90, 25 ], [ 24, 91, 25 ], [ 24, 92, 25 ], [ 24, 93, 25 ], [ 24, 94, 25 ], [ 24, 95, 25 ], [ 24, 96, 99 ], [ 24, 97, 99 ], [ 24, 98, 99 ], [ 24, 99, 99 ], [ 24, 100, 99 ], [ 24, 101, 99 ], [ 24, 102, 45 ], [ 24, 103, 45 ], [ 24, 104, 45 ], [ 24, 105, 45 ], [ 24, 106, 45 ], [ 24, 107, 45 ], [ 24, 108, 29 ], [ 24, 109, 29 ], [ 24, 110, 29 ], [ 24, 111, 29 ], [ 24, 112, 29 ], [ 24, 113, 29 ], [ 24, 114, 25 ], [ 24, 115, 25 ], [ 24, 116, 25 ], [ 24, 117, 25 ], [ 24, 118, 25 ], [ 24, 119, 25 ], [ 25, 0, 0 ], [ 25, 1, 0 ], [ 25, 2, 3 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 5, 4 ], [ 25, 6, 48 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 9, 63 ], [ 25, 10, 68 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 13, 100 ], [ 25, 14, 119 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 17, 108 ], [ 25, 18, 77 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 21, 94 ], [ 25, 22, 85 ], [ 25, 23, 85 ], [ 25, 24, 0 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 27, 3 ], [ 25, 28, 4 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 31, 30 ], [ 25, 32, 85 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 35, 108 ], [ 25, 36, 46 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 39, 94 ], [ 25, 40, 68 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 43, 41 ], [ 25, 44, 119 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 47, 63 ], [ 25, 48, 48 ], [ 25, 49, 48 ], [ 25, 50, 63 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 53, 68 ], [ 25, 54, 30 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 57, 85 ], [ 25, 58, 108 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 61, 41 ], [ 25, 62, 77 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 65, 4 ], [ 25, 66, 46 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 69, 100 ], [ 25, 70, 3 ], [ 25, 71, 3 ], [ 25, 72, 100 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 75, 119 ], [ 25, 76, 108 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 79, 46 ], [ 25, 80, 94 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 83, 68 ], [ 25, 84, 41 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 87, 77 ], [ 25, 88, 4 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 91, 30 ], [ 25, 92, 48 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 95, 0 ], [ 25, 96, 77 ], [ 25, 97, 77 ], [ 25, 98, 94 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 101, 85 ], [ 25, 102, 41 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 105, 119 ], [ 25, 106, 63 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 109, 46 ], [ 25, 110, 100 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 113, 3 ], [ 25, 114, 30 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 117, 48 ], [ 25, 118, 0 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 1, 4 ], [ 26, 2, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 5, 3 ], [ 26, 6, 86 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 9, 73 ], [ 26, 10, 93 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 13, 71 ], [ 26, 14, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 17, 52 ], [ 26, 18, 115 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 21, 99 ], [ 26, 22, 112 ], [ 26, 23, 99 ], [ 26, 24, 0 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 27, 3 ], [ 26, 28, 4 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 31, 115 ], [ 26, 32, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 35, 37 ], [ 26, 36, 86 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 39, 34 ], [ 26, 40, 112 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 43, 71 ], [ 26, 44, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 47, 45 ], [ 26, 48, 86 ], [ 26, 49, 93 ], [ 26, 50, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 53, 73 ], [ 26, 54, 60 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 57, 37 ], [ 26, 58, 115 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 61, 99 ], [ 26, 62, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 65, 45 ], [ 26, 66, 4 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 69, 34 ], [ 26, 70, 52 ], [ 26, 71, 34 ], [ 26, 72, 60 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 75, 52 ], [ 26, 76, 71 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 79, 112 ], [ 26, 80, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 83, 34 ], [ 26, 84, 0 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 87, 45 ], [ 26, 88, 99 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 91, 73 ], [ 26, 92, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 95, 37 ], [ 26, 96, 115 ], [ 26, 97, 112 ], [ 26, 98, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 101, 99 ], [ 26, 102, 93 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 105, 45 ], [ 26, 106, 71 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 109, 52 ], [ 26, 110, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 113, 34 ], [ 26, 114, 3 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 117, 37 ], [ 26, 118, 73 ], [ 26, 119, 37 ], [ 27, 0, 0 ], [ 27, 1, 4 ], [ 27, 2, 4 ], [ 27, 3, 0 ], [ 27, 4, 0 ], [ 27, 5, 4 ], [ 27, 6, 86 ], [ 27, 7, 93 ], [ 27, 8, 93 ], [ 27, 9, 86 ], [ 27, 10, 86 ], [ 27, 11, 93 ], [ 27, 12, 108 ], [ 27, 13, 119 ], [ 27, 14, 119 ], [ 27, 15, 108 ], [ 27, 16, 108 ], [ 27, 17, 119 ], [ 27, 18, 67 ], [ 27, 19, 64 ], [ 27, 20, 64 ], [ 27, 21, 67 ], [ 27, 22, 67 ], [ 27, 23, 64 ], [ 27, 24, 0 ], [ 27, 25, 4 ], [ 27, 26, 4 ], [ 27, 27, 0 ], [ 27, 28, 0 ], [ 27, 29, 4 ], [ 27, 30, 60 ], [ 27, 31, 115 ], [ 27, 32, 115 ], [ 27, 33, 60 ], [ 27, 34, 60 ], [ 27, 35, 115 ], [ 27, 36, 68 ], [ 27, 37, 94 ], [ 27, 38, 94 ], [ 27, 39, 68 ], [ 27, 40, 68 ], [ 27, 41, 94 ], [ 27, 42, 111 ], [ 27, 43, 89 ], [ 27, 44, 89 ], [ 27, 45, 111 ], [ 27, 46, 111 ], [ 27, 47, 89 ], [ 27, 48, 86 ], [ 27, 49, 93 ], [ 27, 50, 93 ], [ 27, 51, 86 ], [ 27, 52, 86 ], [ 27, 53, 93 ], [ 27, 54, 60 ], [ 27, 55, 115 ], [ 27, 56, 115 ], [ 27, 57, 60 ], [ 27, 58, 60 ], [ 27, 59, 115 ], [ 27, 60, 59 ], [ 27, 61, 11 ], [ 27, 62, 11 ], [ 27, 63, 59 ], [ 27, 64, 59 ], [ 27, 65, 11 ], [ 27, 66, 104 ], [ 27, 67, 20 ], [ 27, 68, 20 ], [ 27, 69, 104 ], [ 27, 70, 104 ], [ 27, 71, 20 ], [ 27, 72, 108 ], [ 27, 73, 119 ], [ 27, 74, 119 ], [ 27, 75, 108 ], [ 27, 76, 108 ], [ 27, 77, 119 ], [ 27, 78, 68 ], [ 27, 79, 94 ], [ 27, 80, 94 ], [ 27, 81, 68 ], [ 27, 82, 68 ], [ 27, 83, 94 ], [ 27, 84, 59 ], [ 27, 85, 11 ], [ 27, 86, 11 ], [ 27, 87, 59 ], [ 27, 88, 59 ], [ 27, 89, 11 ], [ 27, 90, 78 ], [ 27, 91, 12 ], [ 27, 92, 12 ], [ 27, 93, 78 ], [ 27, 94, 78 ], [ 27, 95, 12 ], [ 27, 96, 67 ], [ 27, 97, 64 ], [ 27, 98, 64 ], [ 27, 99, 67 ], [ 27, 100, 67 ], [ 27, 101, 64 ], [ 27, 102, 111 ], [ 27, 103, 89 ], [ 27, 104, 89 ], [ 27, 105, 111 ], [ 27, 106, 111 ], [ 27, 107, 89 ], [ 27, 108, 104 ], [ 27, 109, 20 ], [ 27, 110, 20 ], [ 27, 111, 104 ], [ 27, 112, 104 ], [ 27, 113, 20 ], [ 27, 114, 78 ], [ 27, 115, 12 ], [ 27, 116, 12 ], [ 27, 117, 78 ], [ 27, 118, 78 ], [ 27, 119, 12 ], [ 28, 0, 0 ], [ 28, 1, 3 ], [ 28, 2, 3 ], [ 28, 3, 0 ], [ 28, 4, 0 ], [ 28, 5, 3 ], [ 28, 6, 111 ], [ 28, 7, 116 ], [ 28, 8, 116 ], [ 28, 9, 111 ], [ 28, 10, 111 ], [ 28, 11, 116 ], [ 28, 12, 71 ], [ 28, 13, 60 ], [ 28, 14, 60 ], [ 28, 15, 71 ], [ 28, 16, 71 ], [ 28, 17, 60 ], [ 28, 18, 94 ], [ 28, 19, 85 ], [ 28, 20, 85 ], [ 28, 21, 94 ], [ 28, 22, 94 ], [ 28, 23, 85 ], [ 28, 24, 0 ], [ 28, 25, 3 ], [ 28, 26, 3 ], [ 28, 27, 0 ], [ 28, 28, 0 ], [ 28, 29, 3 ], [ 28, 30, 67 ], [ 28, 31, 90 ], [ 28, 32, 90 ], [ 28, 33, 67 ], [ 28, 34, 67 ], [ 28, 35, 90 ], [ 28, 36, 112 ], [ 28, 37, 86 ], [ 28, 38, 86 ], [ 28, 39, 112 ], [ 28, 40, 112 ], [ 28, 41, 86 ], [ 28, 42, 119 ], [ 28, 43, 63 ], [ 28, 44, 63 ], [ 28, 45, 119 ], [ 28, 46, 119 ], [ 28, 47, 63 ], [ 28, 48, 111 ], [ 28, 49, 116 ], [ 28, 50, 116 ], [ 28, 51, 111 ], [ 28, 52, 111 ], [ 28, 53, 116 ], [ 28, 54, 67 ], [ 28, 55, 90 ], [ 28, 56, 90 ], [ 28, 57, 67 ], [ 28, 58, 67 ], [ 28, 59, 90 ], [ 28, 60, 15 ], [ 28, 61, 81 ], [ 28, 62, 81 ], [ 28, 63, 15 ], [ 28, 64, 15 ], [ 28, 65, 81 ], [ 28, 66, 8 ], [ 28, 67, 56 ], [ 28, 68, 56 ], [ 28, 69, 8 ], [ 28, 70, 8 ], [ 28, 71, 56 ], [ 28, 72, 71 ], [ 28, 73, 60 ], [ 28, 74, 60 ], [ 28, 75, 71 ], [ 28, 76, 71 ], [ 28, 77, 60 ], [ 28, 78, 112 ], [ 28, 79, 86 ], [ 28, 80, 86 ], [ 28, 81, 112 ], [ 28, 82, 112 ], [ 28, 83, 86 ], [ 28, 84, 15 ], [ 28, 85, 81 ], [ 28, 86, 81 ], [ 28, 87, 15 ], [ 28, 88, 15 ], [ 28, 89, 81 ], [ 28, 90, 19 ], [ 28, 91, 103 ], [ 28, 92, 103 ], [ 28, 93, 19 ], [ 28, 94, 19 ], [ 28, 95, 103 ], [ 28, 96, 94 ], [ 28, 97, 85 ], [ 28, 98, 85 ], [ 28, 99, 94 ], [ 28, 100, 94 ], [ 28, 101, 85 ], [ 28, 102, 119 ], [ 28, 103, 63 ], [ 28, 104, 63 ], [ 28, 105, 119 ], [ 28, 106, 119 ], [ 28, 107, 63 ], [ 28, 108, 8 ], [ 28, 109, 56 ], [ 28, 110, 56 ], [ 28, 111, 8 ], [ 28, 112, 8 ], [ 28, 113, 56 ], [ 28, 114, 19 ], [ 28, 115, 103 ], [ 28, 116, 103 ], [ 28, 117, 19 ], [ 28, 118, 19 ], [ 28, 119, 103 ], [ 29, 0, 0 ], [ 29, 1, 3 ], [ 29, 2, 4 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 5, 0 ], [ 29, 6, 111 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 9, 116 ], [ 29, 10, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 13, 90 ], [ 29, 14, 74 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 17, 89 ], [ 29, 18, 64 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 21, 67 ], [ 29, 22, 51 ], [ 29, 23, 64 ], [ 29, 24, 0 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 27, 3 ], [ 29, 28, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 31, 90 ], [ 29, 32, 42 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 35, 67 ], [ 29, 36, 64 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 39, 116 ], [ 29, 40, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 43, 111 ], [ 29, 44, 33 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 47, 89 ], [ 29, 48, 111 ], [ 29, 49, 116 ], [ 29, 50, 96 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 53, 111 ], [ 29, 54, 67 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 57, 90 ], [ 29, 58, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 61, 3 ], [ 29, 62, 33 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 65, 51 ], [ 29, 66, 74 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 69, 0 ], [ 29, 70, 38 ], [ 29, 71, 74 ], [ 29, 72, 89 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 75, 90 ], [ 29, 76, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 79, 116 ], [ 29, 80, 38 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 83, 64 ], [ 29, 84, 51 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 87, 3 ], [ 29, 88, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 91, 4 ], [ 29, 92, 42 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 95, 96 ], [ 29, 96, 64 ], [ 29, 97, 67 ], [ 29, 98, 51 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 101, 64 ], [ 29, 102, 89 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 105, 111 ], [ 29, 106, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 109, 0 ], [ 29, 110, 38 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 113, 74 ], [ 29, 114, 96 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 117, 4 ], [ 29, 118, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 1, 0 ], [ 30, 2, 78 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 5, 103 ], [ 30, 6, 48 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 9, 86 ], [ 30, 10, 111 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 13, 60 ], [ 30, 14, 8 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 17, 108 ], [ 30, 18, 67 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 21, 11 ], [ 30, 22, 85 ], [ 30, 23, 85 ], [ 30, 24, 48 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 27, 60 ], [ 30, 28, 67 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 31, 0 ], [ 30, 32, 38 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 35, 45 ], [ 30, 36, 78 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 39, 26 ], [ 30, 40, 42 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 43, 103 ], [ 30, 44, 29 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 47, 37 ], [ 30, 48, 0 ], [ 30, 49, 0 ], [ 30, 50, 8 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 53, 11 ], [ 30, 54, 48 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 57, 26 ], [ 30, 58, 29 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 61, 86 ], [ 30, 62, 38 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 65, 34 ], [ 30, 66, 111 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 69, 45 ], [ 30, 70, 33 ], [ 30, 71, 33 ], [ 30, 72, 78 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 75, 86 ], [ 30, 76, 85 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 79, 60 ], [ 30, 80, 38 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 83, 37 ], [ 30, 84, 8 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 87, 26 ], [ 30, 88, 33 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 91, 108 ], [ 30, 92, 42 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 95, 34 ], [ 30, 96, 103 ], [ 30, 97, 103 ], [ 30, 98, 111 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 101, 108 ], [ 30, 102, 67 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 105, 45 ], [ 30, 106, 42 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 109, 11 ], [ 30, 110, 29 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 113, 34 ], [ 30, 114, 85 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 117, 37 ], [ 30, 118, 33 ], [ 30, 119, 33 ], [ 31, 0, 0 ], [ 31, 1, 0 ], [ 31, 2, 107 ], [ 31, 3, 107 ], [ 31, 4, 82 ], [ 31, 5, 82 ], [ 31, 6, 48 ], [ 31, 7, 48 ], [ 31, 8, 116 ], [ 31, 9, 116 ], [ 31, 10, 93 ], [ 31, 11, 93 ], [ 31, 12, 71 ], [ 31, 13, 71 ], [ 31, 14, 16 ], [ 31, 15, 16 ], [ 31, 16, 74 ], [ 31, 17, 74 ], [ 31, 18, 64 ], [ 31, 19, 64 ], [ 31, 20, 23 ], [ 31, 21, 23 ], [ 31, 22, 99 ], [ 31, 23, 99 ], [ 31, 24, 48 ], [ 31, 25, 48 ], [ 31, 26, 71 ], [ 31, 27, 71 ], [ 31, 28, 64 ], [ 31, 29, 64 ], [ 31, 30, 0 ], [ 31, 31, 0 ], [ 31, 32, 94 ], [ 31, 33, 94 ], [ 31, 34, 119 ], [ 31, 35, 119 ], [ 31, 36, 107 ], [ 31, 37, 107 ], [ 31, 38, 77 ], [ 31, 39, 77 ], [ 31, 40, 12 ], [ 31, 41, 12 ], [ 31, 42, 82 ], [ 31, 43, 82 ], [ 31, 44, 100 ], [ 31, 45, 100 ], [ 31, 46, 19 ], [ 31, 47, 19 ], [ 31, 48, 0 ], [ 31, 49, 0 ], [ 31, 50, 16 ], [ 31, 51, 16 ], [ 31, 52, 23 ], [ 31, 53, 23 ], [ 31, 54, 48 ], [ 31, 55, 48 ], [ 31, 56, 77 ], [ 31, 57, 77 ], [ 31, 58, 100 ], [ 31, 59, 100 ], [ 31, 60, 116 ], [ 31, 61, 116 ], [ 31, 62, 94 ], [ 31, 63, 94 ], [ 31, 64, 56 ], [ 31, 65, 56 ], [ 31, 66, 93 ], [ 31, 67, 93 ], [ 31, 68, 119 ], [ 31, 69, 119 ], [ 31, 70, 59 ], [ 31, 71, 59 ], [ 31, 72, 107 ], [ 31, 73, 107 ], [ 31, 74, 116 ], [ 31, 75, 116 ], [ 31, 76, 99 ], [ 31, 77, 99 ], [ 31, 78, 71 ], [ 31, 79, 71 ], [ 31, 80, 94 ], [ 31, 81, 94 ], [ 31, 82, 19 ], [ 31, 83, 19 ], [ 31, 84, 16 ], [ 31, 85, 16 ], [ 31, 86, 77 ], [ 31, 87, 77 ], [ 31, 88, 59 ], [ 31, 89, 59 ], [ 31, 90, 74 ], [ 31, 91, 74 ], [ 31, 92, 12 ], [ 31, 93, 12 ], [ 31, 94, 56 ], [ 31, 95, 56 ], [ 31, 96, 82 ], [ 31, 97, 82 ], [ 31, 98, 93 ], [ 31, 99, 93 ], [ 31, 100, 74 ], [ 31, 101, 74 ], [ 31, 102, 64 ], [ 31, 103, 64 ], [ 31, 104, 119 ], [ 31, 105, 119 ], [ 31, 106, 12 ], [ 31, 107, 12 ], [ 31, 108, 23 ], [ 31, 109, 23 ], [ 31, 110, 100 ], [ 31, 111, 100 ], [ 31, 112, 56 ], [ 31, 113, 56 ], [ 31, 114, 99 ], [ 31, 115, 99 ], [ 31, 116, 19 ], [ 31, 117, 19 ], [ 31, 118, 59 ], [ 31, 119, 59 ], [ 32, 0, 0 ], [ 32, 1, 104 ], [ 32, 2, 78 ], [ 32, 3, 107 ], [ 32, 4, 82 ], [ 32, 5, 3 ], [ 32, 6, 12 ], [ 32, 7, 116 ], [ 32, 8, 48 ], [ 32, 9, 111 ], [ 32, 10, 68 ], [ 32, 11, 7 ], [ 32, 12, 74 ], [ 32, 13, 100 ], [ 32, 14, 60 ], [ 32, 15, 108 ], [ 32, 16, 71 ], [ 32, 17, 89 ], [ 32, 18, 94 ], [ 32, 19, 23 ], [ 32, 20, 64 ], [ 32, 21, 11 ], [ 32, 22, 51 ], [ 32, 23, 85 ], [ 32, 24, 48 ], [ 32, 25, 68 ], [ 32, 26, 60 ], [ 32, 27, 71 ], [ 32, 28, 64 ], [ 32, 29, 51 ], [ 32, 30, 74 ], [ 32, 31, 94 ], [ 32, 32, 0 ], [ 32, 33, 45 ], [ 32, 34, 104 ], [ 32, 35, 25 ], [ 32, 36, 12 ], [ 32, 37, 23 ], [ 32, 38, 78 ], [ 32, 39, 42 ], [ 32, 40, 107 ], [ 32, 41, 41 ], [ 32, 42, 116 ], [ 32, 43, 100 ], [ 32, 44, 82 ], [ 32, 45, 29 ], [ 32, 46, 3 ], [ 32, 47, 37 ], [ 32, 48, 78 ], [ 32, 49, 82 ], [ 32, 50, 74 ], [ 32, 51, 89 ], [ 32, 52, 94 ], [ 32, 53, 85 ], [ 32, 54, 60 ], [ 32, 55, 64 ], [ 32, 56, 12 ], [ 32, 57, 41 ], [ 32, 58, 116 ], [ 32, 59, 37 ], [ 32, 60, 0 ], [ 32, 61, 11 ], [ 32, 62, 48 ], [ 32, 63, 29 ], [ 32, 64, 111 ], [ 32, 65, 45 ], [ 32, 66, 104 ], [ 32, 67, 108 ], [ 32, 68, 68 ], [ 32, 69, 42 ], [ 32, 70, 7 ], [ 32, 71, 25 ], [ 32, 72, 0 ], [ 32, 73, 3 ], [ 32, 74, 12 ], [ 32, 75, 7 ], [ 32, 76, 23 ], [ 32, 77, 11 ], [ 32, 78, 48 ], [ 32, 79, 51 ], [ 32, 80, 74 ], [ 32, 81, 25 ], [ 32, 82, 100 ], [ 32, 83, 29 ], [ 32, 84, 78 ], [ 32, 85, 85 ], [ 32, 86, 60 ], [ 32, 87, 37 ], [ 32, 88, 108 ], [ 32, 89, 42 ], [ 32, 90, 107 ], [ 32, 91, 111 ], [ 32, 92, 71 ], [ 32, 93, 45 ], [ 32, 94, 89 ], [ 32, 95, 41 ], [ 32, 96, 104 ], [ 32, 97, 107 ], [ 32, 98, 116 ], [ 32, 99, 111 ], [ 32, 100, 100 ], [ 32, 101, 108 ], [ 32, 102, 68 ], [ 32, 103, 71 ], [ 32, 104, 94 ], [ 32, 105, 45 ], [ 32, 106, 23 ], [ 32, 107, 42 ], [ 32, 108, 82 ], [ 32, 109, 89 ], [ 32, 110, 64 ], [ 32, 111, 41 ], [ 32, 112, 11 ], [ 32, 113, 29 ], [ 32, 114, 3 ], [ 32, 115, 7 ], [ 32, 116, 51 ], [ 32, 117, 25 ], [ 32, 118, 85 ], [ 32, 119, 37 ], [ 33, 0, 0 ], [ 33, 1, 104 ], [ 33, 2, 4 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 5, 82 ], [ 33, 6, 12 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 9, 48 ], [ 33, 10, 96 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 13, 90 ], [ 33, 14, 16 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 17, 60 ], [ 33, 18, 99 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 21, 67 ], [ 33, 22, 94 ], [ 33, 23, 64 ], [ 33, 24, 48 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 27, 60 ], [ 33, 28, 67 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 31, 94 ], [ 33, 32, 99 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 35, 104 ], [ 33, 36, 96 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 39, 4 ], [ 33, 40, 12 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 43, 16 ], [ 33, 44, 90 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 47, 82 ], [ 33, 48, 78 ], [ 33, 49, 82 ], [ 33, 50, 90 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 53, 94 ], [ 33, 54, 60 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 57, 12 ], [ 33, 58, 16 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 61, 99 ], [ 33, 62, 67 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 65, 48 ], [ 33, 66, 4 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 69, 96 ], [ 33, 70, 104 ], [ 33, 71, 68 ], [ 33, 72, 104 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 75, 96 ], [ 33, 76, 99 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 79, 67 ], [ 33, 80, 94 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 83, 90 ], [ 33, 84, 82 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 87, 16 ], [ 33, 88, 4 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 91, 12 ], [ 33, 92, 48 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 95, 60 ], [ 33, 96, 0 ], [ 33, 97, 4 ], [ 33, 98, 12 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 101, 16 ], [ 33, 102, 48 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 105, 99 ], [ 33, 106, 96 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 109, 90 ], [ 33, 110, 60 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 113, 67 ], [ 33, 114, 104 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 117, 94 ], [ 33, 118, 82 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 1, 81 ], [ 34, 2, 107 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 5, 3 ], [ 34, 6, 19 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 9, 73 ], [ 34, 10, 48 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 13, 74 ], [ 34, 14, 60 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 17, 119 ], [ 34, 18, 115 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 21, 23 ], [ 34, 22, 67 ], [ 34, 23, 99 ], [ 34, 24, 48 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 27, 60 ], [ 34, 28, 67 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 31, 119 ], [ 34, 32, 81 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 35, 74 ], [ 34, 36, 23 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 39, 115 ], [ 34, 40, 107 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 43, 73 ], [ 34, 44, 3 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 47, 19 ], [ 34, 48, 103 ], [ 34, 49, 107 ], [ 34, 50, 119 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 53, 115 ], [ 34, 54, 67 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 57, 23 ], [ 34, 58, 19 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 61, 3 ], [ 34, 62, 73 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 65, 81 ], [ 34, 66, 74 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 69, 60 ], [ 34, 70, 48 ], [ 34, 71, 0 ], [ 34, 72, 3 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 75, 19 ], [ 34, 76, 23 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 79, 48 ], [ 34, 80, 74 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 83, 73 ], [ 34, 84, 115 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 87, 67 ], [ 34, 88, 60 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 91, 81 ], [ 34, 92, 119 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 95, 107 ], [ 34, 96, 78 ], [ 34, 97, 81 ], [ 34, 98, 73 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 101, 74 ], [ 34, 102, 60 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 105, 119 ], [ 34, 106, 115 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 109, 107 ], [ 34, 110, 23 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 113, 3 ], [ 34, 114, 19 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 117, 48 ], [ 34, 118, 67 ], [ 34, 119, 103 ], [ 35, 0, 0 ], [ 35, 1, 81 ], [ 35, 2, 4 ], [ 35, 3, 107 ], [ 35, 4, 82 ], [ 35, 5, 103 ], [ 35, 6, 19 ], [ 35, 7, 93 ], [ 35, 8, 7 ], [ 35, 9, 63 ], [ 35, 10, 86 ], [ 35, 11, 48 ], [ 35, 12, 16 ], [ 35, 13, 119 ], [ 35, 14, 8 ], [ 35, 15, 71 ], [ 35, 16, 108 ], [ 35, 17, 52 ], [ 35, 18, 77 ], [ 35, 19, 99 ], [ 35, 20, 85 ], [ 35, 21, 67 ], [ 35, 22, 112 ], [ 35, 23, 64 ], [ 35, 24, 48 ], [ 35, 25, 63 ], [ 35, 26, 52 ], [ 35, 27, 71 ], [ 35, 28, 64 ], [ 35, 29, 67 ], [ 35, 30, 99 ], [ 35, 31, 119 ], [ 35, 32, 25 ], [ 35, 33, 81 ], [ 35, 34, 38 ], [ 35, 35, 0 ], [ 35, 36, 77 ], [ 35, 37, 93 ], [ 35, 38, 26 ], [ 35, 39, 107 ], [ 35, 40, 42 ], [ 35, 41, 4 ], [ 35, 42, 16 ], [ 35, 43, 19 ], [ 35, 44, 37 ], [ 35, 45, 103 ], [ 35, 46, 46 ], [ 35, 47, 82 ], [ 35, 48, 103 ], [ 35, 49, 107 ], [ 35, 50, 108 ], [ 35, 51, 119 ], [ 35, 52, 112 ], [ 35, 53, 99 ], [ 35, 54, 67 ], [ 35, 55, 71 ], [ 35, 56, 42 ], [ 35, 57, 93 ], [ 35, 58, 46 ], [ 35, 59, 19 ], [ 35, 60, 85 ], [ 35, 61, 81 ], [ 35, 62, 37 ], [ 35, 63, 63 ], [ 35, 64, 25 ], [ 35, 65, 7 ], [ 35, 66, 8 ], [ 35, 67, 0 ], [ 35, 68, 26 ], [ 35, 69, 48 ], [ 35, 70, 38 ], [ 35, 71, 86 ], [ 35, 72, 82 ], [ 35, 73, 81 ], [ 35, 74, 86 ], [ 35, 75, 93 ], [ 35, 76, 85 ], [ 35, 77, 77 ], [ 35, 78, 64 ], [ 35, 79, 63 ], [ 35, 80, 38 ], [ 35, 81, 119 ], [ 35, 82, 37 ], [ 35, 83, 16 ], [ 35, 84, 112 ], [ 35, 85, 107 ], [ 35, 86, 46 ], [ 35, 87, 71 ], [ 35, 88, 26 ], [ 35, 89, 8 ], [ 35, 90, 7 ], [ 35, 91, 4 ], [ 35, 92, 25 ], [ 35, 93, 52 ], [ 35, 94, 42 ], [ 35, 95, 108 ], [ 35, 96, 4 ], [ 35, 97, 0 ], [ 35, 98, 7 ], [ 35, 99, 19 ], [ 35, 100, 8 ], [ 35, 101, 16 ], [ 35, 102, 52 ], [ 35, 103, 48 ], [ 35, 104, 25 ], [ 35, 105, 99 ], [ 35, 106, 26 ], [ 35, 107, 77 ], [ 35, 108, 108 ], [ 35, 109, 103 ], [ 35, 110, 42 ], [ 35, 111, 67 ], [ 35, 112, 37 ], [ 35, 113, 85 ], [ 35, 114, 86 ], [ 35, 115, 82 ], [ 35, 116, 38 ], [ 35, 117, 64 ], [ 35, 118, 46 ], [ 35, 119, 112 ], [ 36, 0, 0 ], [ 36, 1, 4 ], [ 36, 2, 56 ], [ 36, 3, 55 ], [ 36, 4, 107 ], [ 36, 5, 103 ], [ 36, 6, 86 ], [ 36, 7, 93 ], [ 36, 8, 48 ], [ 36, 9, 63 ], [ 36, 10, 96 ], [ 36, 11, 116 ], [ 36, 12, 74 ], [ 36, 13, 90 ], [ 36, 14, 8 ], [ 36, 15, 16 ], [ 36, 16, 108 ], [ 36, 17, 119 ], [ 36, 18, 77 ], [ 36, 19, 85 ], [ 36, 20, 23 ], [ 36, 21, 15 ], [ 36, 22, 67 ], [ 36, 23, 64 ], [ 36, 24, 74 ], [ 36, 25, 77 ], [ 36, 26, 86 ], [ 36, 27, 85 ], [ 36, 28, 93 ], [ 36, 29, 90 ], [ 36, 30, 56 ], [ 36, 31, 107 ], [ 36, 32, 8 ], [ 36, 33, 33 ], [ 36, 34, 23 ], [ 36, 35, 46 ], [ 36, 36, 0 ], [ 36, 37, 103 ], [ 36, 38, 48 ], [ 36, 39, 29 ], [ 36, 40, 67 ], [ 36, 41, 45 ], [ 36, 42, 4 ], [ 36, 43, 55 ], [ 36, 44, 96 ], [ 36, 45, 25 ], [ 36, 46, 108 ], [ 36, 47, 34 ], [ 36, 48, 8 ], [ 36, 49, 23 ], [ 36, 50, 0 ], [ 36, 51, 15 ], [ 36, 52, 4 ], [ 36, 53, 16 ], [ 36, 54, 48 ], [ 36, 55, 96 ], [ 36, 56, 74 ], [ 36, 57, 25 ], [ 36, 58, 77 ], [ 36, 59, 29 ], [ 36, 60, 86 ], [ 36, 61, 116 ], [ 36, 62, 56 ], [ 36, 63, 46 ], [ 36, 64, 64 ], [ 36, 65, 34 ], [ 36, 66, 93 ], [ 36, 67, 63 ], [ 36, 68, 107 ], [ 36, 69, 33 ], [ 36, 70, 119 ], [ 36, 71, 45 ], [ 36, 72, 48 ], [ 36, 73, 67 ], [ 36, 74, 56 ], [ 36, 75, 64 ], [ 36, 76, 55 ], [ 36, 77, 63 ], [ 36, 78, 8 ], [ 36, 79, 108 ], [ 36, 80, 86 ], [ 36, 81, 34 ], [ 36, 82, 85 ], [ 36, 83, 33 ], [ 36, 84, 74 ], [ 36, 85, 119 ], [ 36, 86, 0 ], [ 36, 87, 45 ], [ 36, 88, 15 ], [ 36, 89, 25 ], [ 36, 90, 90 ], [ 36, 91, 16 ], [ 36, 92, 103 ], [ 36, 93, 29 ], [ 36, 94, 116 ], [ 36, 95, 46 ], [ 36, 96, 96 ], [ 36, 97, 108 ], [ 36, 98, 107 ], [ 36, 99, 119 ], [ 36, 100, 103 ], [ 36, 101, 116 ], [ 36, 102, 23 ], [ 36, 103, 67 ], [ 36, 104, 93 ], [ 36, 105, 45 ], [ 36, 106, 90 ], [ 36, 107, 46 ], [ 36, 108, 77 ], [ 36, 109, 64 ], [ 36, 110, 4 ], [ 36, 111, 34 ], [ 36, 112, 16 ], [ 36, 113, 29 ], [ 36, 114, 85 ], [ 36, 115, 15 ], [ 36, 116, 55 ], [ 36, 117, 25 ], [ 36, 118, 63 ], [ 36, 119, 33 ], [ 37, 0, 0 ], [ 37, 1, 4 ], [ 37, 2, 107 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 5, 59 ], [ 37, 6, 86 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 9, 111 ], [ 37, 10, 48 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 13, 74 ], [ 37, 14, 20 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 17, 52 ], [ 37, 18, 94 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 21, 23 ], [ 37, 22, 112 ], [ 37, 23, 99 ], [ 37, 24, 74 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 27, 94 ], [ 37, 28, 86 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 31, 107 ], [ 37, 32, 23 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 35, 112 ], [ 37, 36, 59 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 39, 48 ], [ 37, 40, 111 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 43, 4 ], [ 37, 44, 52 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 47, 20 ], [ 37, 48, 8 ], [ 37, 49, 23 ], [ 37, 50, 4 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 53, 20 ], [ 37, 54, 48 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 57, 52 ], [ 37, 58, 74 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 61, 86 ], [ 37, 62, 112 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 65, 94 ], [ 37, 66, 111 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 69, 107 ], [ 37, 70, 59 ], [ 37, 71, 89 ], [ 37, 72, 111 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 75, 112 ], [ 37, 76, 107 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 79, 20 ], [ 37, 80, 94 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 83, 23 ], [ 37, 84, 52 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 87, 59 ], [ 37, 88, 4 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 91, 74 ], [ 37, 92, 48 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 95, 86 ], [ 37, 96, 68 ], [ 37, 97, 52 ], [ 37, 98, 59 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 101, 48 ], [ 37, 102, 112 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 105, 111 ], [ 37, 106, 86 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 109, 94 ], [ 37, 110, 20 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 113, 74 ], [ 37, 114, 23 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 117, 4 ], [ 37, 118, 107 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 1, 104 ], [ 38, 2, 56 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 5, 0 ], [ 38, 6, 12 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 9, 116 ], [ 38, 10, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 13, 119 ], [ 38, 14, 74 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 17, 60 ], [ 38, 18, 64 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 21, 15 ], [ 38, 22, 94 ], [ 38, 23, 64 ], [ 38, 24, 74 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 27, 94 ], [ 38, 28, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 31, 46 ], [ 38, 32, 56 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 35, 26 ], [ 38, 36, 30 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 39, 45 ], [ 38, 40, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 43, 25 ], [ 38, 44, 104 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 47, 34 ], [ 38, 48, 60 ], [ 38, 49, 64 ], [ 38, 50, 56 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 53, 60 ], [ 38, 54, 30 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 57, 34 ], [ 38, 58, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 61, 41 ], [ 38, 62, 12 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 65, 26 ], [ 38, 66, 46 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 69, 37 ], [ 38, 70, 116 ], [ 38, 71, 46 ], [ 38, 72, 12 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 75, 15 ], [ 38, 76, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 79, 25 ], [ 38, 80, 74 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 83, 26 ], [ 38, 84, 30 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 87, 37 ], [ 38, 88, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 91, 41 ], [ 38, 92, 119 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 95, 45 ], [ 38, 96, 116 ], [ 38, 97, 119 ], [ 38, 98, 104 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 101, 116 ], [ 38, 102, 46 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 105, 45 ], [ 38, 106, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 109, 41 ], [ 38, 110, 64 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 113, 34 ], [ 38, 114, 25 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 117, 37 ], [ 38, 118, 15 ], [ 38, 119, 25 ], [ 39, 0, 0 ], [ 39, 1, 104 ], [ 39, 2, 3 ], [ 39, 3, 55 ], [ 39, 4, 107 ], [ 39, 5, 59 ], [ 39, 6, 12 ], [ 39, 7, 116 ], [ 39, 8, 7 ], [ 39, 9, 73 ], [ 39, 10, 111 ], [ 39, 11, 93 ], [ 39, 12, 16 ], [ 39, 13, 60 ], [ 39, 14, 20 ], [ 39, 15, 74 ], [ 39, 16, 71 ], [ 39, 17, 89 ], [ 39, 18, 115 ], [ 39, 19, 64 ], [ 39, 20, 99 ], [ 39, 21, 94 ], [ 39, 22, 51 ], [ 39, 23, 85 ], [ 39, 24, 74 ], [ 39, 25, 94 ], [ 39, 26, 73 ], [ 39, 27, 85 ], [ 39, 28, 93 ], [ 39, 29, 89 ], [ 39, 30, 26 ], [ 39, 31, 46 ], [ 39, 32, 51 ], [ 39, 33, 3 ], [ 39, 34, 71 ], [ 39, 35, 107 ], [ 39, 36, 29 ], [ 39, 37, 30 ], [ 39, 38, 99 ], [ 39, 39, 0 ], [ 39, 40, 111 ], [ 39, 41, 59 ], [ 39, 42, 42 ], [ 39, 43, 34 ], [ 39, 44, 20 ], [ 39, 45, 104 ], [ 39, 46, 7 ], [ 39, 47, 55 ], [ 39, 48, 60 ], [ 39, 49, 64 ], [ 39, 50, 55 ], [ 39, 51, 51 ], [ 39, 52, 59 ], [ 39, 53, 71 ], [ 39, 54, 30 ], [ 39, 55, 34 ], [ 39, 56, 85 ], [ 39, 57, 7 ], [ 39, 58, 89 ], [ 39, 59, 111 ], [ 39, 60, 42 ], [ 39, 61, 26 ], [ 39, 62, 115 ], [ 39, 63, 12 ], [ 39, 64, 107 ], [ 39, 65, 93 ], [ 39, 66, 29 ], [ 39, 67, 46 ], [ 39, 68, 16 ], [ 39, 69, 116 ], [ 39, 70, 3 ], [ 39, 71, 73 ], [ 39, 72, 116 ], [ 39, 73, 115 ], [ 39, 74, 104 ], [ 39, 75, 99 ], [ 39, 76, 107 ], [ 39, 77, 111 ], [ 39, 78, 46 ], [ 39, 79, 42 ], [ 39, 80, 94 ], [ 39, 81, 20 ], [ 39, 82, 93 ], [ 39, 83, 71 ], [ 39, 84, 34 ], [ 39, 85, 29 ], [ 39, 86, 64 ], [ 39, 87, 16 ], [ 39, 88, 59 ], [ 39, 89, 89 ], [ 39, 90, 26 ], [ 39, 91, 30 ], [ 39, 92, 12 ], [ 39, 93, 60 ], [ 39, 94, 0 ], [ 39, 95, 74 ], [ 39, 96, 12 ], [ 39, 97, 16 ], [ 39, 98, 0 ], [ 39, 99, 20 ], [ 39, 100, 3 ], [ 39, 101, 7 ], [ 39, 102, 26 ], [ 39, 103, 29 ], [ 39, 104, 74 ], [ 39, 105, 99 ], [ 39, 106, 73 ], [ 39, 107, 51 ], [ 39, 108, 30 ], [ 39, 109, 42 ], [ 39, 110, 60 ], [ 39, 111, 115 ], [ 39, 112, 55 ], [ 39, 113, 85 ], [ 39, 114, 46 ], [ 39, 115, 34 ], [ 39, 116, 116 ], [ 39, 117, 64 ], [ 39, 118, 104 ], [ 39, 119, 94 ], [ 40, 0, 0 ], [ 40, 1, 55 ], [ 40, 2, 107 ], [ 40, 3, 55 ], [ 40, 4, 107 ], [ 40, 5, 0 ], [ 40, 6, 7 ], [ 40, 7, 48 ], [ 40, 8, 93 ], [ 40, 9, 48 ], [ 40, 10, 93 ], [ 40, 11, 7 ], [ 40, 12, 108 ], [ 40, 13, 71 ], [ 40, 14, 74 ], [ 40, 15, 71 ], [ 40, 16, 74 ], [ 40, 17, 108 ], [ 40, 18, 99 ], [ 40, 19, 23 ], [ 40, 20, 85 ], [ 40, 21, 23 ], [ 40, 22, 85 ], [ 40, 23, 99 ], [ 40, 24, 74 ], [ 40, 25, 85 ], [ 40, 26, 93 ], [ 40, 27, 85 ], [ 40, 28, 93 ], [ 40, 29, 74 ], [ 40, 30, 51 ], [ 40, 31, 8 ], [ 40, 32, 107 ], [ 40, 33, 8 ], [ 40, 34, 107 ], [ 40, 35, 51 ], [ 40, 36, 67 ], [ 40, 37, 111 ], [ 40, 38, 0 ], [ 40, 39, 111 ], [ 40, 40, 0 ], [ 40, 41, 67 ], [ 40, 42, 20 ], [ 40, 43, 96 ], [ 40, 44, 55 ], [ 40, 45, 96 ], [ 40, 46, 55 ], [ 40, 47, 20 ], [ 40, 48, 108 ], [ 40, 49, 99 ], [ 40, 50, 107 ], [ 40, 51, 99 ], [ 40, 52, 107 ], [ 40, 53, 108 ], [ 40, 54, 67 ], [ 40, 55, 20 ], [ 40, 56, 93 ], [ 40, 57, 20 ], [ 40, 58, 93 ], [ 40, 59, 67 ], [ 40, 60, 51 ], [ 40, 61, 81 ], [ 40, 62, 7 ], [ 40, 63, 81 ], [ 40, 64, 7 ], [ 40, 65, 51 ], [ 40, 66, 8 ], [ 40, 67, 78 ], [ 40, 68, 48 ], [ 40, 69, 78 ], [ 40, 70, 48 ], [ 40, 71, 8 ], [ 40, 72, 7 ], [ 40, 73, 23 ], [ 40, 74, 0 ], [ 40, 75, 23 ], [ 40, 76, 0 ], [ 40, 77, 7 ], [ 40, 78, 51 ], [ 40, 79, 96 ], [ 40, 80, 74 ], [ 40, 81, 96 ], [ 40, 82, 74 ], [ 40, 83, 51 ], [ 40, 84, 67 ], [ 40, 85, 78 ], [ 40, 86, 108 ], [ 40, 87, 78 ], [ 40, 88, 108 ], [ 40, 89, 67 ], [ 40, 90, 111 ], [ 40, 91, 81 ], [ 40, 92, 71 ], [ 40, 93, 81 ], [ 40, 94, 71 ], [ 40, 95, 111 ], [ 40, 96, 48 ], [ 40, 97, 71 ], [ 40, 98, 55 ], [ 40, 99, 71 ], [ 40, 100, 55 ], [ 40, 101, 48 ], [ 40, 102, 8 ], [ 40, 103, 111 ], [ 40, 104, 85 ], [ 40, 105, 111 ], [ 40, 106, 85 ], [ 40, 107, 8 ], [ 40, 108, 20 ], [ 40, 109, 81 ], [ 40, 110, 99 ], [ 40, 111, 81 ], [ 40, 112, 99 ], [ 40, 113, 20 ], [ 40, 114, 96 ], [ 40, 115, 78 ], [ 40, 116, 23 ], [ 40, 117, 78 ], [ 40, 118, 23 ], [ 40, 119, 96 ], [ 41, 0, 0 ], [ 41, 1, 55 ], [ 41, 2, 3 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 5, 103 ], [ 41, 6, 7 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 9, 86 ], [ 41, 10, 68 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 13, 100 ], [ 41, 14, 8 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 17, 74 ], [ 41, 18, 67 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 21, 94 ], [ 41, 22, 99 ], [ 41, 23, 85 ], [ 41, 24, 74 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 27, 94 ], [ 41, 28, 86 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 31, 8 ], [ 41, 32, 100 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 35, 3 ], [ 41, 36, 99 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 39, 103 ], [ 41, 40, 67 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 43, 68 ], [ 41, 44, 7 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 47, 55 ], [ 41, 48, 108 ], [ 41, 49, 99 ], [ 41, 50, 103 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 53, 100 ], [ 41, 54, 67 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 57, 68 ], [ 41, 58, 94 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 61, 3 ], [ 41, 62, 55 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 65, 7 ], [ 41, 66, 74 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 69, 86 ], [ 41, 70, 8 ], [ 41, 71, 48 ], [ 41, 72, 68 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 75, 67 ], [ 41, 76, 55 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 79, 7 ], [ 41, 80, 86 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 83, 8 ], [ 41, 84, 94 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 87, 74 ], [ 41, 88, 99 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 91, 103 ], [ 41, 92, 3 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 95, 100 ], [ 41, 96, 19 ], [ 41, 97, 8 ], [ 41, 98, 3 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 101, 7 ], [ 41, 102, 100 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 105, 99 ], [ 41, 106, 74 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 109, 55 ], [ 41, 110, 103 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 113, 67 ], [ 41, 114, 86 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 117, 94 ], [ 41, 118, 68 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 1, 3 ], [ 42, 2, 56 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 5, 82 ], [ 42, 6, 111 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 9, 48 ], [ 42, 10, 86 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 13, 119 ], [ 42, 14, 16 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 17, 89 ], [ 42, 18, 99 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 21, 15 ], [ 42, 22, 51 ], [ 42, 23, 64 ], [ 42, 24, 99 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 27, 111 ], [ 42, 28, 119 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 31, 82 ], [ 42, 32, 89 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 35, 16 ], [ 42, 36, 3 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 39, 51 ], [ 42, 40, 15 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 43, 56 ], [ 42, 44, 48 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 47, 86 ], [ 42, 48, 11 ], [ 42, 49, 16 ], [ 42, 50, 15 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 53, 3 ], [ 42, 54, 48 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 57, 99 ], [ 42, 58, 51 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 61, 86 ], [ 42, 62, 82 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 65, 56 ], [ 42, 66, 111 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 69, 89 ], [ 42, 70, 119 ], [ 42, 71, 81 ], [ 42, 72, 51 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 75, 56 ], [ 42, 76, 48 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 79, 89 ], [ 42, 80, 86 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 83, 111 ], [ 42, 84, 119 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 87, 15 ], [ 42, 88, 99 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 91, 16 ], [ 42, 92, 3 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 95, 82 ], [ 42, 96, 74 ], [ 42, 97, 86 ], [ 42, 98, 89 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 101, 82 ], [ 42, 102, 15 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 105, 119 ], [ 42, 106, 16 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 109, 51 ], [ 42, 110, 56 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 113, 3 ], [ 42, 114, 99 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 117, 48 ], [ 42, 118, 111 ], [ 42, 119, 59 ], [ 43, 0, 0 ], [ 43, 1, 3 ], [ 43, 2, 78 ], [ 43, 3, 82 ], [ 43, 4, 55 ], [ 43, 5, 59 ], [ 43, 6, 111 ], [ 43, 7, 116 ], [ 43, 8, 93 ], [ 43, 9, 73 ], [ 43, 10, 68 ], [ 43, 11, 48 ], [ 43, 12, 108 ], [ 43, 13, 100 ], [ 43, 14, 20 ], [ 43, 15, 16 ], [ 43, 16, 71 ], [ 43, 17, 60 ], [ 43, 18, 115 ], [ 43, 19, 99 ], [ 43, 20, 23 ], [ 43, 21, 11 ], [ 43, 22, 94 ], [ 43, 23, 85 ], [ 43, 24, 99 ], [ 43, 25, 100 ], [ 43, 26, 115 ], [ 43, 27, 116 ], [ 43, 28, 108 ], [ 43, 29, 111 ], [ 43, 30, 59 ], [ 43, 31, 82 ], [ 43, 32, 41 ], [ 43, 33, 16 ], [ 43, 34, 34 ], [ 43, 35, 11 ], [ 43, 36, 55 ], [ 43, 37, 3 ], [ 43, 38, 25 ], [ 43, 39, 73 ], [ 43, 40, 33 ], [ 43, 41, 85 ], [ 43, 42, 78 ], [ 43, 43, 0 ], [ 43, 44, 26 ], [ 43, 45, 48 ], [ 43, 46, 38 ], [ 43, 47, 60 ], [ 43, 48, 11 ], [ 43, 49, 16 ], [ 43, 50, 23 ], [ 43, 51, 3 ], [ 43, 52, 20 ], [ 43, 53, 0 ], [ 43, 54, 48 ], [ 43, 55, 73 ], [ 43, 56, 26 ], [ 43, 57, 100 ], [ 43, 58, 25 ], [ 43, 59, 99 ], [ 43, 60, 68 ], [ 43, 61, 116 ], [ 43, 62, 34 ], [ 43, 63, 82 ], [ 43, 64, 38 ], [ 43, 65, 94 ], [ 43, 66, 93 ], [ 43, 67, 111 ], [ 43, 68, 41 ], [ 43, 69, 59 ], [ 43, 70, 33 ], [ 43, 71, 71 ], [ 43, 72, 85 ], [ 43, 73, 73 ], [ 43, 74, 94 ], [ 43, 75, 82 ], [ 43, 76, 93 ], [ 43, 77, 78 ], [ 43, 78, 60 ], [ 43, 79, 16 ], [ 43, 80, 38 ], [ 43, 81, 116 ], [ 43, 82, 41 ], [ 43, 83, 115 ], [ 43, 84, 71 ], [ 43, 85, 100 ], [ 43, 86, 33 ], [ 43, 87, 3 ], [ 43, 88, 26 ], [ 43, 89, 23 ], [ 43, 90, 20 ], [ 43, 91, 108 ], [ 43, 92, 25 ], [ 43, 93, 55 ], [ 43, 94, 34 ], [ 43, 95, 68 ], [ 43, 96, 60 ], [ 43, 97, 48 ], [ 43, 98, 71 ], [ 43, 99, 59 ], [ 43, 100, 68 ], [ 43, 101, 55 ], [ 43, 102, 85 ], [ 43, 103, 11 ], [ 43, 104, 33 ], [ 43, 105, 111 ], [ 43, 106, 34 ], [ 43, 107, 108 ], [ 43, 108, 94 ], [ 43, 109, 99 ], [ 43, 110, 38 ], [ 43, 111, 0 ], [ 43, 112, 25 ], [ 43, 113, 20 ], [ 43, 114, 23 ], [ 43, 115, 115 ], [ 43, 116, 26 ], [ 43, 117, 78 ], [ 43, 118, 41 ], [ 43, 119, 93 ], [ 44, 0, 0 ], [ 44, 1, 81 ], [ 44, 2, 56 ], [ 44, 3, 82 ], [ 44, 4, 55 ], [ 44, 5, 4 ], [ 44, 6, 19 ], [ 44, 7, 93 ], [ 44, 8, 116 ], [ 44, 9, 86 ], [ 44, 10, 96 ], [ 44, 11, 7 ], [ 44, 12, 71 ], [ 44, 13, 90 ], [ 44, 14, 119 ], [ 44, 15, 74 ], [ 44, 16, 108 ], [ 44, 17, 52 ], [ 44, 18, 67 ], [ 44, 19, 23 ], [ 44, 20, 99 ], [ 44, 21, 15 ], [ 44, 22, 112 ], [ 44, 23, 64 ], [ 44, 24, 99 ], [ 44, 25, 119 ], [ 44, 26, 112 ], [ 44, 27, 116 ], [ 44, 28, 108 ], [ 44, 29, 96 ], [ 44, 30, 29 ], [ 44, 31, 41 ], [ 44, 32, 82 ], [ 44, 33, 64 ], [ 44, 34, 4 ], [ 44, 35, 52 ], [ 44, 36, 33 ], [ 44, 37, 37 ], [ 44, 38, 81 ], [ 44, 39, 15 ], [ 44, 40, 55 ], [ 44, 41, 7 ], [ 44, 42, 30 ], [ 44, 43, 26 ], [ 44, 44, 0 ], [ 44, 45, 74 ], [ 44, 46, 56 ], [ 44, 47, 86 ], [ 44, 48, 67 ], [ 44, 49, 71 ], [ 44, 50, 64 ], [ 44, 51, 56 ], [ 44, 52, 52 ], [ 44, 53, 55 ], [ 44, 54, 30 ], [ 44, 55, 33 ], [ 44, 56, 86 ], [ 44, 57, 112 ], [ 44, 58, 7 ], [ 44, 59, 108 ], [ 44, 60, 41 ], [ 44, 61, 26 ], [ 44, 62, 93 ], [ 44, 63, 23 ], [ 44, 64, 96 ], [ 44, 65, 4 ], [ 44, 66, 29 ], [ 44, 67, 37 ], [ 44, 68, 19 ], [ 44, 69, 90 ], [ 44, 70, 116 ], [ 44, 71, 82 ], [ 44, 72, 23 ], [ 44, 73, 19 ], [ 44, 74, 15 ], [ 44, 75, 0 ], [ 44, 76, 7 ], [ 44, 77, 4 ], [ 44, 78, 26 ], [ 44, 79, 29 ], [ 44, 80, 74 ], [ 44, 81, 99 ], [ 44, 82, 52 ], [ 44, 83, 96 ], [ 44, 84, 37 ], [ 44, 85, 30 ], [ 44, 86, 90 ], [ 44, 87, 67 ], [ 44, 88, 108 ], [ 44, 89, 55 ], [ 44, 90, 33 ], [ 44, 91, 41 ], [ 44, 92, 71 ], [ 44, 93, 93 ], [ 44, 94, 119 ], [ 44, 95, 81 ], [ 44, 96, 90 ], [ 44, 97, 93 ], [ 44, 98, 74 ], [ 44, 99, 81 ], [ 44, 100, 86 ], [ 44, 101, 82 ], [ 44, 102, 37 ], [ 44, 103, 41 ], [ 44, 104, 15 ], [ 44, 105, 119 ], [ 44, 106, 64 ], [ 44, 107, 116 ], [ 44, 108, 26 ], [ 44, 109, 33 ], [ 44, 110, 23 ], [ 44, 111, 71 ], [ 44, 112, 112 ], [ 44, 113, 56 ], [ 44, 114, 30 ], [ 44, 115, 29 ], [ 44, 116, 67 ], [ 44, 117, 19 ], [ 44, 118, 99 ], [ 44, 119, 0 ], [ 45, 0, 0 ], [ 45, 1, 81 ], [ 45, 2, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 5, 59 ], [ 45, 6, 19 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 9, 111 ], [ 45, 10, 93 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 13, 71 ], [ 45, 14, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 17, 119 ], [ 45, 18, 94 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 21, 99 ], [ 45, 22, 67 ], [ 45, 23, 99 ], [ 45, 24, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 27, 111 ], [ 45, 28, 119 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 31, 41 ], [ 45, 32, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 35, 59 ], [ 45, 36, 25 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 39, 81 ], [ 45, 40, 33 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 43, 30 ], [ 45, 44, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 47, 0 ], [ 45, 48, 67 ], [ 45, 49, 71 ], [ 45, 50, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 53, 59 ], [ 45, 54, 30 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 57, 111 ], [ 45, 58, 33 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 61, 41 ], [ 45, 62, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 65, 93 ], [ 45, 66, 46 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 69, 19 ], [ 45, 70, 29 ], [ 45, 71, 19 ], [ 45, 72, 94 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 75, 81 ], [ 45, 76, 93 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 79, 41 ], [ 45, 80, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 83, 119 ], [ 45, 84, 46 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 87, 71 ], [ 45, 88, 33 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 91, 25 ], [ 45, 92, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 95, 20 ], [ 45, 96, 20 ], [ 45, 97, 19 ], [ 45, 98, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 101, 0 ], [ 45, 102, 25 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 105, 99 ], [ 45, 106, 29 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 109, 30 ], [ 45, 110, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 113, 67 ], [ 45, 114, 46 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 117, 94 ], [ 45, 118, 38 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 1, 55 ], [ 46, 2, 78 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 5, 4 ], [ 46, 6, 7 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 9, 63 ], [ 46, 10, 111 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 13, 60 ], [ 46, 14, 119 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 17, 74 ], [ 46, 18, 77 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 21, 11 ], [ 46, 22, 99 ], [ 46, 23, 85 ], [ 46, 24, 99 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 27, 111 ], [ 46, 28, 119 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 31, 11 ], [ 46, 32, 4 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 35, 77 ], [ 46, 36, 63 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 39, 7 ], [ 46, 40, 55 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 43, 74 ], [ 46, 44, 78 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 47, 60 ], [ 46, 48, 85 ], [ 46, 49, 74 ], [ 46, 50, 77 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 53, 78 ], [ 46, 54, 60 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 57, 119 ], [ 46, 58, 63 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 61, 99 ], [ 46, 62, 111 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 65, 11 ], [ 46, 66, 4 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 69, 55 ], [ 46, 70, 7 ], [ 46, 71, 52 ], [ 46, 72, 11 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 75, 4 ], [ 46, 76, 7 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 79, 77 ], [ 46, 80, 74 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 83, 99 ], [ 46, 84, 55 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 87, 78 ], [ 46, 88, 60 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 91, 111 ], [ 46, 92, 119 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 95, 63 ], [ 46, 96, 52 ], [ 46, 97, 63 ], [ 46, 98, 60 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 101, 55 ], [ 46, 102, 7 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 105, 111 ], [ 46, 106, 11 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 109, 119 ], [ 46, 110, 99 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 113, 74 ], [ 46, 114, 78 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 117, 4 ], [ 46, 118, 77 ], [ 46, 119, 12 ], [ 47, 0, 0 ], [ 47, 1, 55 ], [ 47, 2, 0 ], [ 47, 3, 82 ], [ 47, 4, 55 ], [ 47, 5, 82 ], [ 47, 6, 7 ], [ 47, 7, 48 ], [ 47, 8, 7 ], [ 47, 9, 116 ], [ 47, 10, 48 ], [ 47, 11, 116 ], [ 47, 12, 16 ], [ 47, 13, 74 ], [ 47, 14, 16 ], [ 47, 15, 108 ], [ 47, 16, 74 ], [ 47, 17, 108 ], [ 47, 18, 64 ], [ 47, 19, 85 ], [ 47, 20, 64 ], [ 47, 21, 99 ], [ 47, 22, 85 ], [ 47, 23, 99 ], [ 47, 24, 99 ], [ 47, 25, 108 ], [ 47, 26, 99 ], [ 47, 27, 116 ], [ 47, 28, 108 ], [ 47, 29, 116 ], [ 47, 30, 52 ], [ 47, 31, 11 ], [ 47, 32, 52 ], [ 47, 33, 82 ], [ 47, 34, 11 ], [ 47, 35, 82 ], [ 47, 36, 73 ], [ 47, 37, 15 ], [ 47, 38, 73 ], [ 47, 39, 55 ], [ 47, 40, 15 ], [ 47, 41, 55 ], [ 47, 42, 86 ], [ 47, 43, 60 ], [ 47, 44, 86 ], [ 47, 45, 0 ], [ 47, 46, 60 ], [ 47, 47, 0 ], [ 47, 48, 85 ], [ 47, 49, 74 ], [ 47, 50, 85 ], [ 47, 51, 82 ], [ 47, 52, 74 ], [ 47, 53, 82 ], [ 47, 54, 60 ], [ 47, 55, 15 ], [ 47, 56, 60 ], [ 47, 57, 116 ], [ 47, 58, 15 ], [ 47, 59, 116 ], [ 47, 60, 103 ], [ 47, 61, 11 ], [ 47, 62, 103 ], [ 47, 63, 48 ], [ 47, 64, 11 ], [ 47, 65, 48 ], [ 47, 66, 104 ], [ 47, 67, 52 ], [ 47, 68, 104 ], [ 47, 69, 7 ], [ 47, 70, 52 ], [ 47, 71, 7 ], [ 47, 72, 64 ], [ 47, 73, 48 ], [ 47, 74, 64 ], [ 47, 75, 55 ], [ 47, 76, 48 ], [ 47, 77, 55 ], [ 47, 78, 86 ], [ 47, 79, 11 ], [ 47, 80, 86 ], [ 47, 81, 108 ], [ 47, 82, 11 ], [ 47, 83, 108 ], [ 47, 84, 104 ], [ 47, 85, 15 ], [ 47, 86, 104 ], [ 47, 87, 74 ], [ 47, 88, 15 ], [ 47, 89, 74 ], [ 47, 90, 103 ], [ 47, 91, 73 ], [ 47, 92, 103 ], [ 47, 93, 16 ], [ 47, 94, 73 ], [ 47, 95, 16 ], [ 47, 96, 16 ], [ 47, 97, 7 ], [ 47, 98, 16 ], [ 47, 99, 0 ], [ 47, 100, 7 ], [ 47, 101, 0 ], [ 47, 102, 73 ], [ 47, 103, 52 ], [ 47, 104, 73 ], [ 47, 105, 99 ], [ 47, 106, 52 ], [ 47, 107, 99 ], [ 47, 108, 103 ], [ 47, 109, 60 ], [ 47, 110, 103 ], [ 47, 111, 85 ], [ 47, 112, 60 ], [ 47, 113, 85 ], [ 47, 114, 104 ], [ 47, 115, 86 ], [ 47, 116, 104 ], [ 47, 117, 64 ], [ 47, 118, 86 ], [ 47, 119, 64 ], [ 48, 0, 0 ], [ 48, 1, 0 ], [ 48, 2, 12 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 5, 19 ], [ 48, 6, 30 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 9, 26 ], [ 48, 10, 29 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 13, 86 ], [ 48, 14, 74 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 17, 73 ], [ 48, 18, 111 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 21, 99 ], [ 48, 22, 96 ], [ 48, 23, 96 ], [ 48, 24, 30 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 27, 86 ], [ 48, 28, 111 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 31, 0 ], [ 48, 32, 56 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 35, 59 ], [ 48, 36, 12 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 39, 60 ], [ 48, 40, 63 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 43, 19 ], [ 48, 44, 67 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 47, 68 ], [ 48, 48, 0 ], [ 48, 49, 0 ], [ 48, 50, 74 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 53, 99 ], [ 48, 54, 30 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 57, 60 ], [ 48, 58, 67 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 61, 26 ], [ 48, 62, 56 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 65, 51 ], [ 48, 66, 29 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 69, 59 ], [ 48, 70, 52 ], [ 48, 71, 52 ], [ 48, 72, 12 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 75, 26 ], [ 48, 76, 96 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 79, 86 ], [ 48, 80, 56 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 83, 68 ], [ 48, 84, 74 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 87, 60 ], [ 48, 88, 52 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 91, 73 ], [ 48, 92, 63 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 95, 51 ], [ 48, 96, 19 ], [ 48, 97, 19 ], [ 48, 98, 29 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 101, 73 ], [ 48, 102, 111 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 105, 59 ], [ 48, 106, 63 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 109, 99 ], [ 48, 110, 67 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 113, 51 ], [ 48, 114, 96 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 117, 68 ], [ 48, 118, 52 ], [ 48, 119, 52 ], [ 49, 0, 0 ], [ 49, 1, 0 ], [ 49, 2, 23 ], [ 49, 3, 23 ], [ 49, 4, 16 ], [ 49, 5, 16 ], [ 49, 6, 30 ], [ 49, 7, 30 ], [ 49, 8, 41 ], [ 49, 9, 41 ], [ 49, 10, 46 ], [ 49, 11, 46 ], [ 49, 12, 112 ], [ 49, 13, 112 ], [ 49, 14, 119 ], [ 49, 15, 119 ], [ 49, 16, 103 ], [ 49, 17, 103 ], [ 49, 18, 89 ], [ 49, 19, 89 ], [ 49, 20, 94 ], [ 49, 21, 94 ], [ 49, 22, 78 ], [ 49, 23, 78 ], [ 49, 24, 30 ], [ 49, 25, 30 ], [ 49, 26, 112 ], [ 49, 27, 112 ], [ 49, 28, 89 ], [ 49, 29, 89 ], [ 49, 30, 0 ], [ 49, 31, 0 ], [ 49, 32, 82 ], [ 49, 33, 82 ], [ 49, 34, 107 ], [ 49, 35, 107 ], [ 49, 36, 23 ], [ 49, 37, 23 ], [ 49, 38, 90 ], [ 49, 39, 90 ], [ 49, 40, 45 ], [ 49, 41, 45 ], [ 49, 42, 16 ], [ 49, 43, 16 ], [ 49, 44, 115 ], [ 49, 45, 115 ], [ 49, 46, 38 ], [ 49, 47, 38 ], [ 49, 48, 0 ], [ 49, 49, 0 ], [ 49, 50, 119 ], [ 49, 51, 119 ], [ 49, 52, 94 ], [ 49, 53, 94 ], [ 49, 54, 30 ], [ 49, 55, 30 ], [ 49, 56, 90 ], [ 49, 57, 90 ], [ 49, 58, 115 ], [ 49, 59, 115 ], [ 49, 60, 41 ], [ 49, 61, 41 ], [ 49, 62, 82 ], [ 49, 63, 82 ], [ 49, 64, 11 ], [ 49, 65, 11 ], [ 49, 66, 46 ], [ 49, 67, 46 ], [ 49, 68, 107 ], [ 49, 69, 107 ], [ 49, 70, 8 ], [ 49, 71, 8 ], [ 49, 72, 23 ], [ 49, 73, 23 ], [ 49, 74, 41 ], [ 49, 75, 41 ], [ 49, 76, 78 ], [ 49, 77, 78 ], [ 49, 78, 112 ], [ 49, 79, 112 ], [ 49, 80, 82 ], [ 49, 81, 82 ], [ 49, 82, 38 ], [ 49, 83, 38 ], [ 49, 84, 119 ], [ 49, 85, 119 ], [ 49, 86, 90 ], [ 49, 87, 90 ], [ 49, 88, 8 ], [ 49, 89, 8 ], [ 49, 90, 103 ], [ 49, 91, 103 ], [ 49, 92, 45 ], [ 49, 93, 45 ], [ 49, 94, 11 ], [ 49, 95, 11 ], [ 49, 96, 16 ], [ 49, 97, 16 ], [ 49, 98, 46 ], [ 49, 99, 46 ], [ 49, 100, 103 ], [ 49, 101, 103 ], [ 49, 102, 89 ], [ 49, 103, 89 ], [ 49, 104, 107 ], [ 49, 105, 107 ], [ 49, 106, 45 ], [ 49, 107, 45 ], [ 49, 108, 94 ], [ 49, 109, 94 ], [ 49, 110, 115 ], [ 49, 111, 115 ], [ 49, 112, 11 ], [ 49, 113, 11 ], [ 49, 114, 78 ], [ 49, 115, 78 ], [ 49, 116, 38 ], [ 49, 117, 38 ], [ 49, 118, 8 ], [ 49, 119, 8 ], [ 50, 0, 0 ], [ 50, 1, 20 ], [ 50, 2, 12 ], [ 50, 3, 23 ], [ 50, 4, 16 ], [ 50, 5, 3 ], [ 50, 6, 86 ], [ 50, 7, 89 ], [ 50, 8, 78 ], [ 50, 9, 77 ], [ 50, 10, 90 ], [ 50, 11, 73 ], [ 50, 12, 30 ], [ 50, 13, 33 ], [ 50, 14, 38 ], [ 50, 15, 25 ], [ 50, 16, 46 ], [ 50, 17, 29 ], [ 50, 18, 108 ], [ 50, 19, 112 ], [ 50, 20, 119 ], [ 50, 21, 99 ], [ 50, 22, 107 ], [ 50, 23, 96 ], [ 50, 24, 30 ], [ 50, 25, 108 ], [ 50, 26, 86 ], [ 50, 27, 112 ], [ 50, 28, 89 ], [ 50, 29, 33 ], [ 50, 30, 12 ], [ 50, 31, 16 ], [ 50, 32, 38 ], [ 50, 33, 64 ], [ 50, 34, 119 ], [ 50, 35, 63 ], [ 50, 36, 0 ], [ 50, 37, 3 ], [ 50, 38, 78 ], [ 50, 39, 55 ], [ 50, 40, 107 ], [ 50, 41, 59 ], [ 50, 42, 20 ], [ 50, 43, 23 ], [ 50, 44, 90 ], [ 50, 45, 67 ], [ 50, 46, 46 ], [ 50, 47, 68 ], [ 50, 48, 38 ], [ 50, 49, 119 ], [ 50, 50, 0 ], [ 50, 51, 99 ], [ 50, 52, 20 ], [ 50, 53, 25 ], [ 50, 54, 78 ], [ 50, 55, 90 ], [ 50, 56, 30 ], [ 50, 57, 67 ], [ 50, 58, 108 ], [ 50, 59, 55 ], [ 50, 60, 86 ], [ 50, 61, 73 ], [ 50, 62, 12 ], [ 50, 63, 63 ], [ 50, 64, 96 ], [ 50, 65, 68 ], [ 50, 66, 89 ], [ 50, 67, 77 ], [ 50, 68, 16 ], [ 50, 69, 64 ], [ 50, 70, 29 ], [ 50, 71, 59 ], [ 50, 72, 78 ], [ 50, 73, 107 ], [ 50, 74, 12 ], [ 50, 75, 96 ], [ 50, 76, 23 ], [ 50, 77, 77 ], [ 50, 78, 38 ], [ 50, 79, 46 ], [ 50, 80, 86 ], [ 50, 81, 68 ], [ 50, 82, 112 ], [ 50, 83, 64 ], [ 50, 84, 30 ], [ 50, 85, 29 ], [ 50, 86, 0 ], [ 50, 87, 59 ], [ 50, 88, 99 ], [ 50, 89, 67 ], [ 50, 90, 33 ], [ 50, 91, 25 ], [ 50, 92, 3 ], [ 50, 93, 55 ], [ 50, 94, 73 ], [ 50, 95, 63 ], [ 50, 96, 90 ], [ 50, 97, 46 ], [ 50, 98, 16 ], [ 50, 99, 29 ], [ 50, 100, 3 ], [ 50, 101, 73 ], [ 50, 102, 119 ], [ 50, 103, 107 ], [ 50, 104, 89 ], [ 50, 105, 59 ], [ 50, 106, 33 ], [ 50, 107, 63 ], [ 50, 108, 108 ], [ 50, 109, 96 ], [ 50, 110, 20 ], [ 50, 111, 68 ], [ 50, 112, 25 ], [ 50, 113, 55 ], [ 50, 114, 112 ], [ 50, 115, 99 ], [ 50, 116, 23 ], [ 50, 117, 67 ], [ 50, 118, 77 ], [ 50, 119, 64 ], [ 51, 0, 0 ], [ 51, 1, 20 ], [ 51, 2, 4 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 5, 16 ], [ 51, 6, 86 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 9, 78 ], [ 51, 10, 82 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 13, 111 ], [ 51, 14, 119 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 17, 116 ], [ 51, 18, 30 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 21, 45 ], [ 51, 22, 42 ], [ 51, 23, 41 ], [ 51, 24, 30 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 27, 86 ], [ 51, 28, 111 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 31, 16 ], [ 51, 32, 116 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 35, 119 ], [ 51, 36, 20 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 39, 42 ], [ 51, 40, 45 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 43, 4 ], [ 51, 44, 78 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 47, 82 ], [ 51, 48, 38 ], [ 51, 49, 119 ], [ 51, 50, 45 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 53, 20 ], [ 51, 54, 78 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 57, 30 ], [ 51, 58, 42 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 61, 82 ], [ 51, 62, 16 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 65, 4 ], [ 51, 66, 86 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 69, 116 ], [ 51, 70, 111 ], [ 51, 71, 19 ], [ 51, 72, 42 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 75, 4 ], [ 51, 76, 78 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 79, 116 ], [ 51, 80, 82 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 83, 86 ], [ 51, 84, 111 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 87, 45 ], [ 51, 88, 30 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 91, 119 ], [ 51, 92, 20 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 95, 16 ], [ 51, 96, 103 ], [ 51, 97, 82 ], [ 51, 98, 116 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 101, 16 ], [ 51, 102, 45 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 105, 111 ], [ 51, 106, 119 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 109, 42 ], [ 51, 110, 4 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 113, 20 ], [ 51, 114, 30 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 117, 78 ], [ 51, 118, 86 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 1, 15 ], [ 52, 2, 23 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 5, 3 ], [ 52, 6, 111 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 9, 107 ], [ 52, 10, 103 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 13, 30 ], [ 52, 14, 38 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 17, 37 ], [ 52, 18, 86 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 21, 94 ], [ 52, 22, 93 ], [ 52, 23, 78 ], [ 52, 24, 30 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 27, 86 ], [ 52, 28, 111 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 31, 23 ], [ 52, 32, 94 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 35, 93 ], [ 52, 36, 3 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 39, 103 ], [ 52, 40, 107 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 43, 15 ], [ 52, 44, 37 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 47, 38 ], [ 52, 48, 45 ], [ 52, 49, 94 ], [ 52, 50, 15 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 53, 38 ], [ 52, 54, 103 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 57, 37 ], [ 52, 58, 30 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 61, 111 ], [ 52, 62, 93 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 65, 86 ], [ 52, 66, 107 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 69, 23 ], [ 52, 70, 3 ], [ 52, 71, 33 ], [ 52, 72, 107 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 75, 93 ], [ 52, 76, 23 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 79, 38 ], [ 52, 80, 86 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 83, 94 ], [ 52, 84, 37 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 87, 3 ], [ 52, 88, 15 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 91, 30 ], [ 52, 92, 103 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 95, 111 ], [ 52, 96, 116 ], [ 52, 97, 37 ], [ 52, 98, 3 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 101, 103 ], [ 52, 102, 93 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 105, 107 ], [ 52, 106, 111 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 109, 86 ], [ 52, 110, 38 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 113, 30 ], [ 52, 114, 94 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 117, 15 ], [ 52, 118, 23 ], [ 52, 119, 112 ], [ 53, 0, 0 ], [ 53, 1, 15 ], [ 53, 2, 4 ], [ 53, 3, 23 ], [ 53, 4, 16 ], [ 53, 5, 19 ], [ 53, 6, 111 ], [ 53, 7, 112 ], [ 53, 8, 96 ], [ 53, 9, 115 ], [ 53, 10, 100 ], [ 53, 11, 103 ], [ 53, 12, 89 ], [ 53, 13, 85 ], [ 53, 14, 74 ], [ 53, 15, 94 ], [ 53, 16, 73 ], [ 53, 17, 82 ], [ 53, 18, 34 ], [ 53, 19, 30 ], [ 53, 20, 25 ], [ 53, 21, 45 ], [ 53, 22, 26 ], [ 53, 23, 41 ], [ 53, 24, 30 ], [ 53, 25, 85 ], [ 53, 26, 34 ], [ 53, 27, 112 ], [ 53, 28, 89 ], [ 53, 29, 111 ], [ 53, 30, 19 ], [ 53, 31, 23 ], [ 53, 32, 68 ], [ 53, 33, 94 ], [ 53, 34, 71 ], [ 53, 35, 45 ], [ 53, 36, 16 ], [ 53, 37, 15 ], [ 53, 38, 60 ], [ 53, 39, 115 ], [ 53, 40, 63 ], [ 53, 41, 41 ], [ 53, 42, 4 ], [ 53, 43, 0 ], [ 53, 44, 55 ], [ 53, 45, 103 ], [ 53, 46, 56 ], [ 53, 47, 82 ], [ 53, 48, 45 ], [ 53, 49, 94 ], [ 53, 50, 25 ], [ 53, 51, 15 ], [ 53, 52, 74 ], [ 53, 53, 0 ], [ 53, 54, 103 ], [ 53, 55, 115 ], [ 53, 56, 55 ], [ 53, 57, 85 ], [ 53, 58, 60 ], [ 53, 59, 30 ], [ 53, 60, 100 ], [ 53, 61, 112 ], [ 53, 62, 71 ], [ 53, 63, 23 ], [ 53, 64, 56 ], [ 53, 65, 26 ], [ 53, 66, 96 ], [ 53, 67, 111 ], [ 53, 68, 68 ], [ 53, 69, 19 ], [ 53, 70, 63 ], [ 53, 71, 73 ], [ 53, 72, 41 ], [ 53, 73, 115 ], [ 53, 74, 26 ], [ 53, 75, 23 ], [ 53, 76, 96 ], [ 53, 77, 4 ], [ 53, 78, 82 ], [ 53, 79, 94 ], [ 53, 80, 56 ], [ 53, 81, 112 ], [ 53, 82, 68 ], [ 53, 83, 34 ], [ 53, 84, 73 ], [ 53, 85, 85 ], [ 53, 86, 63 ], [ 53, 87, 15 ], [ 53, 88, 55 ], [ 53, 89, 25 ], [ 53, 90, 74 ], [ 53, 91, 89 ], [ 53, 92, 60 ], [ 53, 93, 16 ], [ 53, 94, 71 ], [ 53, 95, 100 ], [ 53, 96, 82 ], [ 53, 97, 103 ], [ 53, 98, 73 ], [ 53, 99, 19 ], [ 53, 100, 100 ], [ 53, 101, 16 ], [ 53, 102, 41 ], [ 53, 103, 45 ], [ 53, 104, 63 ], [ 53, 105, 111 ], [ 53, 106, 71 ], [ 53, 107, 89 ], [ 53, 108, 26 ], [ 53, 109, 30 ], [ 53, 110, 56 ], [ 53, 111, 0 ], [ 53, 112, 60 ], [ 53, 113, 74 ], [ 53, 114, 25 ], [ 53, 115, 34 ], [ 53, 116, 55 ], [ 53, 117, 4 ], [ 53, 118, 68 ], [ 53, 119, 96 ], [ 54, 0, 0 ], [ 54, 1, 0 ], [ 54, 2, 78 ], [ 54, 3, 78 ], [ 54, 4, 103 ], [ 54, 5, 103 ], [ 54, 6, 30 ], [ 54, 7, 30 ], [ 54, 8, 78 ], [ 54, 9, 78 ], [ 54, 10, 103 ], [ 54, 11, 103 ], [ 54, 12, 30 ], [ 54, 13, 30 ], [ 54, 14, 0 ], [ 54, 15, 0 ], [ 54, 16, 103 ], [ 54, 17, 103 ], [ 54, 18, 30 ], [ 54, 19, 30 ], [ 54, 20, 0 ], [ 54, 21, 0 ], [ 54, 22, 78 ], [ 54, 23, 78 ], [ 54, 24, 48 ], [ 54, 25, 48 ], [ 54, 26, 60 ], [ 54, 27, 60 ], [ 54, 28, 67 ], [ 54, 29, 67 ], [ 54, 30, 30 ], [ 54, 31, 30 ], [ 54, 32, 60 ], [ 54, 33, 60 ], [ 54, 34, 67 ], [ 54, 35, 67 ], [ 54, 36, 30 ], [ 54, 37, 30 ], [ 54, 38, 48 ], [ 54, 39, 48 ], [ 54, 40, 67 ], [ 54, 41, 67 ], [ 54, 42, 30 ], [ 54, 43, 30 ], [ 54, 44, 48 ], [ 54, 45, 48 ], [ 54, 46, 60 ], [ 54, 47, 60 ], [ 54, 48, 48 ], [ 54, 49, 48 ], [ 54, 50, 56 ], [ 54, 51, 56 ], [ 54, 52, 59 ], [ 54, 53, 59 ], [ 54, 54, 0 ], [ 54, 55, 0 ], [ 54, 56, 56 ], [ 54, 57, 56 ], [ 54, 58, 59 ], [ 54, 59, 59 ], [ 54, 60, 0 ], [ 54, 61, 0 ], [ 54, 62, 48 ], [ 54, 63, 48 ], [ 54, 64, 59 ], [ 54, 65, 59 ], [ 54, 66, 0 ], [ 54, 67, 0 ], [ 54, 68, 48 ], [ 54, 69, 48 ], [ 54, 70, 56 ], [ 54, 71, 56 ], [ 54, 72, 60 ], [ 54, 73, 60 ], [ 54, 74, 56 ], [ 54, 75, 56 ], [ 54, 76, 55 ], [ 54, 77, 55 ], [ 54, 78, 78 ], [ 54, 79, 78 ], [ 54, 80, 56 ], [ 54, 81, 56 ], [ 54, 82, 55 ], [ 54, 83, 55 ], [ 54, 84, 78 ], [ 54, 85, 78 ], [ 54, 86, 60 ], [ 54, 87, 60 ], [ 54, 88, 55 ], [ 54, 89, 55 ], [ 54, 90, 78 ], [ 54, 91, 78 ], [ 54, 92, 60 ], [ 54, 93, 60 ], [ 54, 94, 56 ], [ 54, 95, 56 ], [ 54, 96, 67 ], [ 54, 97, 67 ], [ 54, 98, 59 ], [ 54, 99, 59 ], [ 54, 100, 55 ], [ 54, 101, 55 ], [ 54, 102, 103 ], [ 54, 103, 103 ], [ 54, 104, 59 ], [ 54, 105, 59 ], [ 54, 106, 55 ], [ 54, 107, 55 ], [ 54, 108, 103 ], [ 54, 109, 103 ], [ 54, 110, 67 ], [ 54, 111, 67 ], [ 54, 112, 55 ], [ 54, 113, 55 ], [ 54, 114, 103 ], [ 54, 115, 103 ], [ 54, 116, 67 ], [ 54, 117, 67 ], [ 54, 118, 59 ], [ 54, 119, 59 ], [ 55, 0, 0 ], [ 55, 1, 0 ], [ 55, 2, 107 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 5, 82 ], [ 55, 6, 30 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 9, 115 ], [ 55, 10, 90 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 13, 33 ], [ 55, 14, 15 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 17, 73 ], [ 55, 18, 34 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 21, 20 ], [ 55, 22, 96 ], [ 55, 23, 96 ], [ 55, 24, 48 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 27, 71 ], [ 55, 28, 64 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 31, 30 ], [ 55, 32, 90 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 35, 115 ], [ 55, 36, 33 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 39, 73 ], [ 55, 40, 15 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 43, 34 ], [ 55, 44, 96 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 47, 20 ], [ 55, 48, 48 ], [ 55, 49, 48 ], [ 55, 50, 64 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 53, 71 ], [ 55, 54, 0 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 57, 82 ], [ 55, 58, 107 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 61, 15 ], [ 55, 62, 73 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 65, 33 ], [ 55, 66, 20 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 69, 96 ], [ 55, 70, 34 ], [ 55, 71, 34 ], [ 55, 72, 71 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 75, 64 ], [ 55, 76, 48 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 79, 107 ], [ 55, 80, 82 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 83, 0 ], [ 55, 84, 115 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 87, 90 ], [ 55, 88, 30 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 91, 96 ], [ 55, 92, 20 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 95, 34 ], [ 55, 96, 64 ], [ 55, 97, 64 ], [ 55, 98, 71 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 101, 48 ], [ 55, 102, 82 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 105, 107 ], [ 55, 106, 0 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 109, 90 ], [ 55, 110, 115 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 113, 30 ], [ 55, 114, 73 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 117, 15 ], [ 55, 118, 33 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 1, 104 ], [ 56, 2, 78 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 5, 3 ], [ 56, 6, 8 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 9, 107 ], [ 56, 10, 46 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 13, 112 ], [ 56, 14, 38 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 17, 82 ], [ 56, 18, 86 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 21, 0 ], [ 56, 22, 26 ], [ 56, 23, 78 ], [ 56, 24, 48 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 27, 71 ], [ 56, 28, 64 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 31, 46 ], [ 56, 32, 8 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 35, 51 ], [ 56, 36, 38 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 39, 68 ], [ 56, 40, 112 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 43, 26 ], [ 56, 44, 86 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 47, 60 ], [ 56, 48, 60 ], [ 56, 49, 64 ], [ 56, 50, 48 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 53, 55 ], [ 56, 54, 78 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 57, 59 ], [ 56, 58, 104 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 61, 82 ], [ 56, 62, 38 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 65, 68 ], [ 56, 66, 86 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 69, 60 ], [ 56, 70, 0 ], [ 56, 71, 48 ], [ 56, 72, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 75, 55 ], [ 56, 76, 71 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 79, 3 ], [ 56, 80, 78 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 83, 59 ], [ 56, 84, 8 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 87, 51 ], [ 56, 88, 107 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 91, 0 ], [ 56, 92, 26 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 95, 60 ], [ 56, 96, 68 ], [ 56, 97, 71 ], [ 56, 98, 64 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 101, 55 ], [ 56, 102, 104 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 105, 59 ], [ 56, 106, 3 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 109, 107 ], [ 56, 110, 46 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 113, 51 ], [ 56, 114, 112 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 117, 68 ], [ 56, 118, 82 ], [ 56, 119, 64 ], [ 57, 0, 0 ], [ 57, 1, 104 ], [ 57, 2, 4 ], [ 57, 3, 78 ], [ 57, 4, 103 ], [ 57, 5, 82 ], [ 57, 6, 8 ], [ 57, 7, 112 ], [ 57, 8, 23 ], [ 57, 9, 26 ], [ 57, 10, 100 ], [ 57, 11, 46 ], [ 57, 12, 7 ], [ 57, 13, 85 ], [ 57, 14, 15 ], [ 57, 15, 25 ], [ 57, 16, 73 ], [ 57, 17, 37 ], [ 57, 18, 111 ], [ 57, 19, 89 ], [ 57, 20, 119 ], [ 57, 21, 45 ], [ 57, 22, 93 ], [ 57, 23, 41 ], [ 57, 24, 48 ], [ 57, 25, 68 ], [ 57, 26, 52 ], [ 57, 27, 60 ], [ 57, 28, 67 ], [ 57, 29, 64 ], [ 57, 30, 26 ], [ 57, 31, 46 ], [ 57, 32, 100 ], [ 57, 33, 8 ], [ 57, 34, 23 ], [ 57, 35, 112 ], [ 57, 36, 25 ], [ 57, 37, 37 ], [ 57, 38, 73 ], [ 57, 39, 7 ], [ 57, 40, 15 ], [ 57, 41, 85 ], [ 57, 42, 45 ], [ 57, 43, 41 ], [ 57, 44, 93 ], [ 57, 45, 111 ], [ 57, 46, 119 ], [ 57, 47, 89 ], [ 57, 48, 60 ], [ 57, 49, 64 ], [ 57, 50, 67 ], [ 57, 51, 48 ], [ 57, 52, 52 ], [ 57, 53, 68 ], [ 57, 54, 78 ], [ 57, 55, 82 ], [ 57, 56, 103 ], [ 57, 57, 0 ], [ 57, 58, 4 ], [ 57, 59, 104 ], [ 57, 60, 85 ], [ 57, 61, 73 ], [ 57, 62, 37 ], [ 57, 63, 15 ], [ 57, 64, 7 ], [ 57, 65, 25 ], [ 57, 66, 89 ], [ 57, 67, 93 ], [ 57, 68, 41 ], [ 57, 69, 119 ], [ 57, 70, 111 ], [ 57, 71, 45 ], [ 57, 72, 68 ], [ 57, 73, 67 ], [ 57, 74, 64 ], [ 57, 75, 52 ], [ 57, 76, 48 ], [ 57, 77, 60 ], [ 57, 78, 104 ], [ 57, 79, 103 ], [ 57, 80, 82 ], [ 57, 81, 4 ], [ 57, 82, 0 ], [ 57, 83, 78 ], [ 57, 84, 112 ], [ 57, 85, 100 ], [ 57, 86, 46 ], [ 57, 87, 23 ], [ 57, 88, 8 ], [ 57, 89, 26 ], [ 57, 90, 111 ], [ 57, 91, 119 ], [ 57, 92, 45 ], [ 57, 93, 93 ], [ 57, 94, 89 ], [ 57, 95, 41 ], [ 57, 96, 48 ], [ 57, 97, 52 ], [ 57, 98, 60 ], [ 57, 99, 67 ], [ 57, 100, 68 ], [ 57, 101, 64 ], [ 57, 102, 0 ], [ 57, 103, 4 ], [ 57, 104, 78 ], [ 57, 105, 103 ], [ 57, 106, 104 ], [ 57, 107, 82 ], [ 57, 108, 8 ], [ 57, 109, 23 ], [ 57, 110, 26 ], [ 57, 111, 100 ], [ 57, 112, 112 ], [ 57, 113, 46 ], [ 57, 114, 7 ], [ 57, 115, 15 ], [ 57, 116, 25 ], [ 57, 117, 73 ], [ 57, 118, 85 ], [ 57, 119, 37 ], [ 58, 0, 0 ], [ 58, 1, 81 ], [ 58, 2, 107 ], [ 58, 3, 78 ], [ 58, 4, 103 ], [ 58, 5, 3 ], [ 58, 6, 11 ], [ 58, 7, 89 ], [ 58, 8, 41 ], [ 58, 9, 77 ], [ 58, 10, 29 ], [ 58, 11, 16 ], [ 58, 12, 112 ], [ 58, 13, 86 ], [ 58, 14, 38 ], [ 58, 15, 94 ], [ 58, 16, 46 ], [ 58, 17, 116 ], [ 58, 18, 108 ], [ 58, 19, 7 ], [ 58, 20, 25 ], [ 58, 21, 20 ], [ 58, 22, 42 ], [ 58, 23, 96 ], [ 58, 24, 48 ], [ 58, 25, 63 ], [ 58, 26, 71 ], [ 58, 27, 60 ], [ 58, 28, 67 ], [ 58, 29, 51 ], [ 58, 30, 29 ], [ 58, 31, 41 ], [ 58, 32, 89 ], [ 58, 33, 16 ], [ 58, 34, 11 ], [ 58, 35, 77 ], [ 58, 36, 46 ], [ 58, 37, 38 ], [ 58, 38, 86 ], [ 58, 39, 116 ], [ 58, 40, 112 ], [ 58, 41, 94 ], [ 58, 42, 42 ], [ 58, 43, 25 ], [ 58, 44, 7 ], [ 58, 45, 96 ], [ 58, 46, 108 ], [ 58, 47, 20 ], [ 58, 48, 67 ], [ 58, 49, 71 ], [ 58, 50, 63 ], [ 58, 51, 51 ], [ 58, 52, 48 ], [ 58, 53, 60 ], [ 58, 54, 103 ], [ 58, 55, 107 ], [ 58, 56, 81 ], [ 58, 57, 3 ], [ 58, 58, 0 ], [ 58, 59, 78 ], [ 58, 60, 116 ], [ 58, 61, 112 ], [ 58, 62, 94 ], [ 58, 63, 46 ], [ 58, 64, 38 ], [ 58, 65, 86 ], [ 58, 66, 96 ], [ 58, 67, 108 ], [ 58, 68, 20 ], [ 58, 69, 42 ], [ 58, 70, 25 ], [ 58, 71, 7 ], [ 58, 72, 51 ], [ 58, 73, 48 ], [ 58, 74, 60 ], [ 58, 75, 67 ], [ 58, 76, 71 ], [ 58, 77, 63 ], [ 58, 78, 3 ], [ 58, 79, 0 ], [ 58, 80, 78 ], [ 58, 81, 103 ], [ 58, 82, 107 ], [ 58, 83, 81 ], [ 58, 84, 16 ], [ 58, 85, 11 ], [ 58, 86, 77 ], [ 58, 87, 29 ], [ 58, 88, 41 ], [ 58, 89, 89 ], [ 58, 90, 20 ], [ 58, 91, 7 ], [ 58, 92, 96 ], [ 58, 93, 25 ], [ 58, 94, 42 ], [ 58, 95, 108 ], [ 58, 96, 60 ], [ 58, 97, 63 ], [ 58, 98, 51 ], [ 58, 99, 71 ], [ 58, 100, 67 ], [ 58, 101, 48 ], [ 58, 102, 78 ], [ 58, 103, 81 ], [ 58, 104, 3 ], [ 58, 105, 107 ], [ 58, 106, 103 ], [ 58, 107, 0 ], [ 58, 108, 77 ], [ 58, 109, 89 ], [ 58, 110, 16 ], [ 58, 111, 41 ], [ 58, 112, 29 ], [ 58, 113, 11 ], [ 58, 114, 94 ], [ 58, 115, 86 ], [ 58, 116, 116 ], [ 58, 117, 38 ], [ 58, 118, 46 ], [ 58, 119, 112 ], [ 59, 0, 0 ], [ 59, 1, 81 ], [ 59, 2, 4 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 5, 103 ], [ 59, 6, 11 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 9, 41 ], [ 59, 10, 82 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 13, 111 ], [ 59, 14, 0 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 17, 29 ], [ 59, 18, 89 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 21, 45 ], [ 59, 22, 107 ], [ 59, 23, 41 ], [ 59, 24, 48 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 27, 71 ], [ 59, 28, 64 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 31, 41 ], [ 59, 32, 52 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 35, 11 ], [ 59, 36, 29 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 39, 111 ], [ 59, 40, 67 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 43, 45 ], [ 59, 44, 63 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 47, 89 ], [ 59, 48, 67 ], [ 59, 49, 71 ], [ 59, 50, 55 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 53, 48 ], [ 59, 54, 103 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 57, 81 ], [ 59, 58, 56 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 61, 111 ], [ 59, 62, 67 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 65, 0 ], [ 59, 66, 107 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 69, 45 ], [ 59, 70, 63 ], [ 59, 71, 81 ], [ 59, 72, 64 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 75, 71 ], [ 59, 76, 55 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 79, 81 ], [ 59, 80, 56 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 83, 4 ], [ 59, 84, 82 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 87, 41 ], [ 59, 88, 52 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 91, 89 ], [ 59, 92, 63 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 95, 107 ], [ 59, 96, 52 ], [ 59, 97, 48 ], [ 59, 98, 55 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 101, 64 ], [ 59, 102, 4 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 105, 103 ], [ 59, 106, 56 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 109, 11 ], [ 59, 110, 52 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 113, 82 ], [ 59, 114, 0 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 117, 29 ], [ 59, 118, 67 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 1, 20 ], [ 60, 2, 26 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 5, 103 ], [ 60, 6, 86 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 9, 41 ], [ 60, 10, 100 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 13, 85 ], [ 60, 14, 0 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 17, 116 ], [ 60, 18, 89 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 21, 15 ], [ 60, 22, 42 ], [ 60, 23, 41 ], [ 60, 24, 26 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 27, 103 ], [ 60, 28, 20 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 31, 89 ], [ 60, 32, 0 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 35, 68 ], [ 60, 36, 86 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 39, 51 ], [ 60, 40, 42 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 43, 85 ], [ 60, 44, 100 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 47, 59 ], [ 60, 48, 26 ], [ 60, 49, 100 ], [ 60, 50, 86 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 53, 41 ], [ 60, 54, 0 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 57, 68 ], [ 60, 58, 89 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 61, 15 ], [ 60, 62, 26 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 65, 59 ], [ 60, 66, 20 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 69, 51 ], [ 60, 70, 116 ], [ 60, 71, 68 ], [ 60, 72, 0 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 75, 116 ], [ 60, 76, 85 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 79, 42 ], [ 60, 80, 86 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 83, 51 ], [ 60, 84, 26 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 87, 59 ], [ 60, 88, 15 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 91, 41 ], [ 60, 92, 103 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 95, 68 ], [ 60, 96, 20 ], [ 60, 97, 42 ], [ 60, 98, 89 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 101, 15 ], [ 60, 102, 100 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 105, 59 ], [ 60, 106, 85 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 109, 116 ], [ 60, 110, 20 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 113, 51 ], [ 60, 114, 103 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 117, 68 ], [ 60, 118, 41 ], [ 60, 119, 59 ], [ 61, 0, 0 ], [ 61, 1, 20 ], [ 61, 2, 107 ], [ 61, 3, 96 ], [ 61, 4, 46 ], [ 61, 5, 29 ], [ 61, 6, 86 ], [ 61, 7, 89 ], [ 61, 8, 96 ], [ 61, 9, 107 ], [ 61, 10, 29 ], [ 61, 11, 46 ], [ 61, 12, 89 ], [ 61, 13, 86 ], [ 61, 14, 20 ], [ 61, 15, 0 ], [ 61, 16, 46 ], [ 61, 17, 29 ], [ 61, 18, 86 ], [ 61, 19, 89 ], [ 61, 20, 0 ], [ 61, 21, 20 ], [ 61, 22, 107 ], [ 61, 23, 96 ], [ 61, 24, 26 ], [ 61, 25, 100 ], [ 61, 26, 45 ], [ 61, 27, 19 ], [ 61, 28, 104 ], [ 61, 29, 4 ], [ 61, 30, 86 ], [ 61, 31, 89 ], [ 61, 32, 19 ], [ 61, 33, 45 ], [ 61, 34, 4 ], [ 61, 35, 104 ], [ 61, 36, 89 ], [ 61, 37, 86 ], [ 61, 38, 100 ], [ 61, 39, 26 ], [ 61, 40, 104 ], [ 61, 41, 4 ], [ 61, 42, 86 ], [ 61, 43, 89 ], [ 61, 44, 26 ], [ 61, 45, 100 ], [ 61, 46, 45 ], [ 61, 47, 19 ], [ 61, 48, 26 ], [ 61, 49, 100 ], [ 61, 50, 34 ], [ 61, 51, 82 ], [ 61, 52, 111 ], [ 61, 53, 93 ], [ 61, 54, 0 ], [ 61, 55, 20 ], [ 61, 56, 82 ], [ 61, 57, 34 ], [ 61, 58, 93 ], [ 61, 59, 111 ], [ 61, 60, 20 ], [ 61, 61, 0 ], [ 61, 62, 100 ], [ 61, 63, 26 ], [ 61, 64, 111 ], [ 61, 65, 93 ], [ 61, 66, 0 ], [ 61, 67, 20 ], [ 61, 68, 26 ], [ 61, 69, 100 ], [ 61, 70, 34 ], [ 61, 71, 82 ], [ 61, 72, 45 ], [ 61, 73, 19 ], [ 61, 74, 34 ], [ 61, 75, 82 ], [ 61, 76, 8 ], [ 61, 77, 74 ], [ 61, 78, 107 ], [ 61, 79, 96 ], [ 61, 80, 82 ], [ 61, 81, 34 ], [ 61, 82, 74 ], [ 61, 83, 8 ], [ 61, 84, 96 ], [ 61, 85, 107 ], [ 61, 86, 19 ], [ 61, 87, 45 ], [ 61, 88, 8 ], [ 61, 89, 74 ], [ 61, 90, 107 ], [ 61, 91, 96 ], [ 61, 92, 45 ], [ 61, 93, 19 ], [ 61, 94, 34 ], [ 61, 95, 82 ], [ 61, 96, 104 ], [ 61, 97, 4 ], [ 61, 98, 111 ], [ 61, 99, 93 ], [ 61, 100, 8 ], [ 61, 101, 74 ], [ 61, 102, 46 ], [ 61, 103, 29 ], [ 61, 104, 93 ], [ 61, 105, 111 ], [ 61, 106, 74 ], [ 61, 107, 8 ], [ 61, 108, 29 ], [ 61, 109, 46 ], [ 61, 110, 4 ], [ 61, 111, 104 ], [ 61, 112, 8 ], [ 61, 113, 74 ], [ 61, 114, 46 ], [ 61, 115, 29 ], [ 61, 116, 104 ], [ 61, 117, 4 ], [ 61, 118, 111 ], [ 61, 119, 93 ], [ 62, 0, 0 ], [ 62, 1, 104 ], [ 62, 2, 26 ], [ 62, 3, 96 ], [ 62, 4, 46 ], [ 62, 5, 19 ], [ 62, 6, 8 ], [ 62, 7, 112 ], [ 62, 8, 78 ], [ 62, 9, 115 ], [ 62, 10, 82 ], [ 62, 11, 16 ], [ 62, 12, 30 ], [ 62, 13, 111 ], [ 62, 14, 74 ], [ 62, 15, 119 ], [ 62, 16, 73 ], [ 62, 17, 37 ], [ 62, 18, 34 ], [ 62, 19, 7 ], [ 62, 20, 94 ], [ 62, 21, 15 ], [ 62, 22, 93 ], [ 62, 23, 41 ], [ 62, 24, 26 ], [ 62, 25, 46 ], [ 62, 26, 0 ], [ 62, 27, 19 ], [ 62, 28, 104 ], [ 62, 29, 96 ], [ 62, 30, 74 ], [ 62, 31, 94 ], [ 62, 32, 30 ], [ 62, 33, 67 ], [ 62, 34, 34 ], [ 62, 35, 52 ], [ 62, 36, 78 ], [ 62, 37, 93 ], [ 62, 38, 8 ], [ 62, 39, 71 ], [ 62, 40, 7 ], [ 62, 41, 55 ], [ 62, 42, 82 ], [ 62, 43, 73 ], [ 62, 44, 112 ], [ 62, 45, 51 ], [ 62, 46, 111 ], [ 62, 47, 59 ], [ 62, 48, 78 ], [ 62, 49, 82 ], [ 62, 50, 8 ], [ 62, 51, 16 ], [ 62, 52, 112 ], [ 62, 53, 115 ], [ 62, 54, 30 ], [ 62, 55, 34 ], [ 62, 56, 74 ], [ 62, 57, 52 ], [ 62, 58, 94 ], [ 62, 59, 67 ], [ 62, 60, 26 ], [ 62, 61, 41 ], [ 62, 62, 0 ], [ 62, 63, 59 ], [ 62, 64, 15 ], [ 62, 65, 51 ], [ 62, 66, 46 ], [ 62, 67, 37 ], [ 62, 68, 104 ], [ 62, 69, 55 ], [ 62, 70, 119 ], [ 62, 71, 71 ], [ 62, 72, 74 ], [ 62, 73, 73 ], [ 62, 74, 30 ], [ 62, 75, 37 ], [ 62, 76, 111 ], [ 62, 77, 119 ], [ 62, 78, 8 ], [ 62, 79, 7 ], [ 62, 80, 78 ], [ 62, 81, 55 ], [ 62, 82, 93 ], [ 62, 83, 71 ], [ 62, 84, 0 ], [ 62, 85, 15 ], [ 62, 86, 26 ], [ 62, 87, 51 ], [ 62, 88, 41 ], [ 62, 89, 59 ], [ 62, 90, 19 ], [ 62, 91, 16 ], [ 62, 92, 96 ], [ 62, 93, 52 ], [ 62, 94, 115 ], [ 62, 95, 67 ], [ 62, 96, 94 ], [ 62, 97, 93 ], [ 62, 98, 34 ], [ 62, 99, 41 ], [ 62, 100, 7 ], [ 62, 101, 15 ], [ 62, 102, 112 ], [ 62, 103, 111 ], [ 62, 104, 82 ], [ 62, 105, 59 ], [ 62, 106, 73 ], [ 62, 107, 51 ], [ 62, 108, 104 ], [ 62, 109, 119 ], [ 62, 110, 46 ], [ 62, 111, 71 ], [ 62, 112, 37 ], [ 62, 113, 55 ], [ 62, 114, 96 ], [ 62, 115, 115 ], [ 62, 116, 19 ], [ 62, 117, 67 ], [ 62, 118, 16 ], [ 62, 119, 52 ], [ 63, 0, 0 ], [ 63, 1, 104 ], [ 63, 2, 23 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 5, 29 ], [ 63, 6, 8 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 9, 77 ], [ 63, 10, 103 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 13, 30 ], [ 63, 14, 20 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 17, 82 ], [ 63, 18, 108 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 21, 94 ], [ 63, 22, 26 ], [ 63, 23, 78 ], [ 63, 24, 26 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 27, 103 ], [ 63, 28, 20 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 31, 94 ], [ 63, 32, 29 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 35, 108 ], [ 63, 36, 77 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 39, 8 ], [ 63, 40, 104 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 43, 82 ], [ 63, 44, 23 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 47, 30 ], [ 63, 48, 78 ], [ 63, 49, 82 ], [ 63, 50, 108 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 53, 23 ], [ 63, 54, 30 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 57, 20 ], [ 63, 58, 77 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 61, 26 ], [ 63, 62, 103 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 65, 94 ], [ 63, 66, 29 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 69, 104 ], [ 63, 70, 8 ], [ 63, 71, 74 ], [ 63, 72, 94 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 75, 29 ], [ 63, 76, 8 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 79, 108 ], [ 63, 80, 82 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 83, 26 ], [ 63, 84, 104 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 87, 23 ], [ 63, 88, 30 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 91, 103 ], [ 63, 92, 20 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 95, 77 ], [ 63, 96, 74 ], [ 63, 97, 77 ], [ 63, 98, 30 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 101, 104 ], [ 63, 102, 8 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 105, 103 ], [ 63, 106, 94 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 109, 20 ], [ 63, 110, 26 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 113, 82 ], [ 63, 114, 23 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 117, 29 ], [ 63, 118, 108 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 1, 25 ], [ 64, 2, 107 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 5, 19 ], [ 64, 6, 7 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 9, 26 ], [ 64, 10, 90 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 13, 33 ], [ 64, 14, 74 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 17, 103 ], [ 64, 18, 111 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 21, 20 ], [ 64, 22, 78 ], [ 64, 23, 96 ], [ 64, 24, 26 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 27, 103 ], [ 64, 28, 20 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 31, 78 ], [ 64, 32, 111 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 35, 25 ], [ 64, 36, 90 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 39, 107 ], [ 64, 40, 7 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 43, 74 ], [ 64, 44, 33 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 47, 19 ], [ 64, 48, 42 ], [ 64, 49, 19 ], [ 64, 50, 33 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 53, 78 ], [ 64, 54, 103 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 57, 7 ], [ 64, 58, 74 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 61, 111 ], [ 64, 62, 20 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 65, 26 ], [ 64, 66, 107 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 69, 90 ], [ 64, 70, 25 ], [ 64, 71, 3 ], [ 64, 72, 25 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 75, 90 ], [ 64, 76, 111 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 79, 20 ], [ 64, 80, 78 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 83, 33 ], [ 64, 84, 19 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 87, 74 ], [ 64, 88, 107 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 91, 7 ], [ 64, 92, 26 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 95, 103 ], [ 64, 96, 0 ], [ 64, 97, 107 ], [ 64, 98, 7 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 101, 74 ], [ 64, 102, 26 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 105, 111 ], [ 64, 106, 90 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 109, 33 ], [ 64, 110, 103 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 113, 20 ], [ 64, 114, 25 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 117, 78 ], [ 64, 118, 19 ], [ 64, 119, 96 ], [ 65, 0, 0 ], [ 65, 1, 25 ], [ 65, 2, 23 ], [ 65, 3, 96 ], [ 65, 4, 46 ], [ 65, 5, 103 ], [ 65, 6, 7 ], [ 65, 7, 30 ], [ 65, 8, 23 ], [ 65, 9, 78 ], [ 65, 10, 46 ], [ 65, 11, 73 ], [ 65, 12, 7 ], [ 65, 13, 112 ], [ 65, 14, 0 ], [ 65, 15, 94 ], [ 65, 16, 103 ], [ 65, 17, 73 ], [ 65, 18, 30 ], [ 65, 19, 112 ], [ 65, 20, 25 ], [ 65, 21, 94 ], [ 65, 22, 96 ], [ 65, 23, 78 ], [ 65, 24, 26 ], [ 65, 25, 3 ], [ 65, 26, 99 ], [ 65, 27, 19 ], [ 65, 28, 104 ], [ 65, 29, 42 ], [ 65, 30, 73 ], [ 65, 31, 78 ], [ 65, 32, 99 ], [ 65, 33, 30 ], [ 65, 34, 104 ], [ 65, 35, 7 ], [ 65, 36, 73 ], [ 65, 37, 94 ], [ 65, 38, 26 ], [ 65, 39, 112 ], [ 65, 40, 42 ], [ 65, 41, 7 ], [ 65, 42, 78 ], [ 65, 43, 94 ], [ 65, 44, 3 ], [ 65, 45, 112 ], [ 65, 46, 19 ], [ 65, 47, 30 ], [ 65, 48, 42 ], [ 65, 49, 19 ], [ 65, 50, 85 ], [ 65, 51, 3 ], [ 65, 52, 86 ], [ 65, 53, 26 ], [ 65, 54, 103 ], [ 65, 55, 96 ], [ 65, 56, 85 ], [ 65, 57, 25 ], [ 65, 58, 86 ], [ 65, 59, 0 ], [ 65, 60, 103 ], [ 65, 61, 112 ], [ 65, 62, 42 ], [ 65, 63, 94 ], [ 65, 64, 26 ], [ 65, 65, 0 ], [ 65, 66, 96 ], [ 65, 67, 112 ], [ 65, 68, 19 ], [ 65, 69, 94 ], [ 65, 70, 3 ], [ 65, 71, 25 ], [ 65, 72, 104 ], [ 65, 73, 3 ], [ 65, 74, 86 ], [ 65, 75, 19 ], [ 65, 76, 85 ], [ 65, 77, 99 ], [ 65, 78, 46 ], [ 65, 79, 25 ], [ 65, 80, 86 ], [ 65, 81, 96 ], [ 65, 82, 85 ], [ 65, 83, 23 ], [ 65, 84, 46 ], [ 65, 85, 30 ], [ 65, 86, 104 ], [ 65, 87, 78 ], [ 65, 88, 99 ], [ 65, 89, 23 ], [ 65, 90, 25 ], [ 65, 91, 30 ], [ 65, 92, 3 ], [ 65, 93, 78 ], [ 65, 94, 19 ], [ 65, 95, 96 ], [ 65, 96, 99 ], [ 65, 97, 26 ], [ 65, 98, 85 ], [ 65, 99, 42 ], [ 65, 100, 86 ], [ 65, 101, 104 ], [ 65, 102, 23 ], [ 65, 103, 0 ], [ 65, 104, 85 ], [ 65, 105, 103 ], [ 65, 106, 86 ], [ 65, 107, 46 ], [ 65, 108, 23 ], [ 65, 109, 7 ], [ 65, 110, 99 ], [ 65, 111, 73 ], [ 65, 112, 104 ], [ 65, 113, 46 ], [ 65, 114, 0 ], [ 65, 115, 7 ], [ 65, 116, 26 ], [ 65, 117, 73 ], [ 65, 118, 42 ], [ 65, 119, 103 ], [ 66, 0, 0 ], [ 66, 1, 15 ], [ 66, 2, 26 ], [ 66, 3, 41 ], [ 66, 4, 73 ], [ 66, 5, 82 ], [ 66, 6, 111 ], [ 66, 7, 112 ], [ 66, 8, 41 ], [ 66, 9, 26 ], [ 66, 10, 82 ], [ 66, 11, 73 ], [ 66, 12, 112 ], [ 66, 13, 111 ], [ 66, 14, 15 ], [ 66, 15, 0 ], [ 66, 16, 73 ], [ 66, 17, 82 ], [ 66, 18, 111 ], [ 66, 19, 112 ], [ 66, 20, 0 ], [ 66, 21, 15 ], [ 66, 22, 26 ], [ 66, 23, 41 ], [ 66, 24, 29 ], [ 66, 25, 77 ], [ 66, 26, 3 ], [ 66, 27, 81 ], [ 66, 28, 12 ], [ 66, 29, 38 ], [ 66, 30, 111 ], [ 66, 31, 112 ], [ 66, 32, 81 ], [ 66, 33, 3 ], [ 66, 34, 38 ], [ 66, 35, 12 ], [ 66, 36, 112 ], [ 66, 37, 111 ], [ 66, 38, 77 ], [ 66, 39, 29 ], [ 66, 40, 12 ], [ 66, 41, 38 ], [ 66, 42, 111 ], [ 66, 43, 112 ], [ 66, 44, 29 ], [ 66, 45, 77 ], [ 66, 46, 3 ], [ 66, 47, 81 ], [ 66, 48, 29 ], [ 66, 49, 77 ], [ 66, 50, 116 ], [ 66, 51, 86 ], [ 66, 52, 107 ], [ 66, 53, 33 ], [ 66, 54, 0 ], [ 66, 55, 15 ], [ 66, 56, 86 ], [ 66, 57, 116 ], [ 66, 58, 33 ], [ 66, 59, 107 ], [ 66, 60, 15 ], [ 66, 61, 0 ], [ 66, 62, 77 ], [ 66, 63, 29 ], [ 66, 64, 107 ], [ 66, 65, 33 ], [ 66, 66, 0 ], [ 66, 67, 15 ], [ 66, 68, 29 ], [ 66, 69, 77 ], [ 66, 70, 116 ], [ 66, 71, 86 ], [ 66, 72, 3 ], [ 66, 73, 81 ], [ 66, 74, 116 ], [ 66, 75, 86 ], [ 66, 76, 99 ], [ 66, 77, 11 ], [ 66, 78, 26 ], [ 66, 79, 41 ], [ 66, 80, 86 ], [ 66, 81, 116 ], [ 66, 82, 11 ], [ 66, 83, 99 ], [ 66, 84, 41 ], [ 66, 85, 26 ], [ 66, 86, 81 ], [ 66, 87, 3 ], [ 66, 88, 99 ], [ 66, 89, 11 ], [ 66, 90, 26 ], [ 66, 91, 41 ], [ 66, 92, 3 ], [ 66, 93, 81 ], [ 66, 94, 116 ], [ 66, 95, 86 ], [ 66, 96, 12 ], [ 66, 97, 38 ], [ 66, 98, 107 ], [ 66, 99, 33 ], [ 66, 100, 99 ], [ 66, 101, 11 ], [ 66, 102, 73 ], [ 66, 103, 82 ], [ 66, 104, 33 ], [ 66, 105, 107 ], [ 66, 106, 11 ], [ 66, 107, 99 ], [ 66, 108, 82 ], [ 66, 109, 73 ], [ 66, 110, 38 ], [ 66, 111, 12 ], [ 66, 112, 99 ], [ 66, 113, 11 ], [ 66, 114, 73 ], [ 66, 115, 82 ], [ 66, 116, 12 ], [ 66, 117, 38 ], [ 66, 118, 107 ], [ 66, 119, 33 ], [ 67, 0, 0 ], [ 67, 1, 15 ], [ 67, 2, 78 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 5, 29 ], [ 67, 6, 111 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 9, 77 ], [ 67, 10, 46 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 13, 112 ], [ 67, 14, 20 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 17, 37 ], [ 67, 18, 108 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 21, 0 ], [ 67, 22, 93 ], [ 67, 23, 78 ], [ 67, 24, 29 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 27, 15 ], [ 67, 28, 78 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 31, 112 ], [ 67, 32, 63 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 35, 0 ], [ 67, 36, 108 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 39, 77 ], [ 67, 40, 56 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 43, 111 ], [ 67, 44, 52 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 47, 37 ], [ 67, 48, 29 ], [ 67, 49, 77 ], [ 67, 50, 46 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 53, 111 ], [ 67, 54, 0 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 57, 112 ], [ 67, 58, 63 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 61, 15 ], [ 67, 62, 52 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 65, 93 ], [ 67, 66, 20 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 69, 29 ], [ 67, 70, 56 ], [ 67, 71, 46 ], [ 67, 72, 37 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 75, 112 ], [ 67, 76, 20 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 79, 77 ], [ 67, 80, 56 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 83, 108 ], [ 67, 84, 93 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 87, 15 ], [ 67, 88, 52 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 91, 78 ], [ 67, 92, 63 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 95, 46 ], [ 67, 96, 78 ], [ 67, 97, 0 ], [ 67, 98, 93 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 101, 108 ], [ 67, 102, 37 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 105, 111 ], [ 67, 106, 52 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 109, 29 ], [ 67, 110, 56 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 113, 20 ], [ 67, 114, 46 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 117, 78 ], [ 67, 118, 63 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 1, 81 ], [ 68, 2, 26 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 5, 16 ], [ 68, 6, 11 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 9, 78 ], [ 68, 10, 100 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 13, 85 ], [ 68, 14, 119 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 17, 29 ], [ 68, 18, 30 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 21, 15 ], [ 68, 22, 107 ], [ 68, 23, 41 ], [ 68, 24, 29 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 27, 15 ], [ 68, 28, 78 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 31, 119 ], [ 68, 32, 85 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 35, 26 ], [ 68, 36, 107 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 39, 16 ], [ 68, 40, 30 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 43, 100 ], [ 68, 44, 11 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 47, 81 ], [ 68, 48, 103 ], [ 68, 49, 107 ], [ 68, 50, 16 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 53, 85 ], [ 68, 54, 30 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 57, 100 ], [ 68, 58, 15 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 61, 26 ], [ 68, 62, 81 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 65, 11 ], [ 68, 66, 29 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 69, 78 ], [ 68, 70, 119 ], [ 68, 71, 89 ], [ 68, 72, 100 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 75, 30 ], [ 68, 76, 81 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 79, 11 ], [ 68, 80, 78 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 83, 119 ], [ 68, 84, 15 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 87, 29 ], [ 68, 88, 107 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 91, 16 ], [ 68, 92, 26 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 95, 85 ], [ 68, 96, 115 ], [ 68, 97, 119 ], [ 68, 98, 26 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 101, 11 ], [ 68, 102, 85 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 105, 107 ], [ 68, 106, 29 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 109, 81 ], [ 68, 110, 16 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 113, 30 ], [ 68, 114, 78 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 117, 15 ], [ 68, 118, 100 ], [ 68, 119, 8 ], [ 69, 0, 0 ], [ 69, 1, 81 ], [ 69, 2, 12 ], [ 69, 3, 41 ], [ 69, 4, 73 ], [ 69, 5, 29 ], [ 69, 6, 11 ], [ 69, 7, 89 ], [ 69, 8, 23 ], [ 69, 9, 107 ], [ 69, 10, 90 ], [ 69, 11, 103 ], [ 69, 12, 7 ], [ 69, 13, 33 ], [ 69, 14, 20 ], [ 69, 15, 119 ], [ 69, 16, 46 ], [ 69, 17, 116 ], [ 69, 18, 86 ], [ 69, 19, 30 ], [ 69, 20, 94 ], [ 69, 21, 99 ], [ 69, 22, 42 ], [ 69, 23, 96 ], [ 69, 24, 29 ], [ 69, 25, 41 ], [ 69, 26, 73 ], [ 69, 27, 81 ], [ 69, 28, 12 ], [ 69, 29, 0 ], [ 69, 30, 99 ], [ 69, 31, 119 ], [ 69, 32, 51 ], [ 69, 33, 33 ], [ 69, 34, 60 ], [ 69, 35, 30 ], [ 69, 36, 96 ], [ 69, 37, 107 ], [ 69, 38, 52 ], [ 69, 39, 89 ], [ 69, 40, 56 ], [ 69, 41, 86 ], [ 69, 42, 116 ], [ 69, 43, 103 ], [ 69, 44, 64 ], [ 69, 45, 11 ], [ 69, 46, 55 ], [ 69, 47, 7 ], [ 69, 48, 103 ], [ 69, 49, 107 ], [ 69, 50, 90 ], [ 69, 51, 89 ], [ 69, 52, 23 ], [ 69, 53, 11 ], [ 69, 54, 30 ], [ 69, 55, 33 ], [ 69, 56, 60 ], [ 69, 57, 119 ], [ 69, 58, 51 ], [ 69, 59, 99 ], [ 69, 60, 42 ], [ 69, 61, 41 ], [ 69, 62, 55 ], [ 69, 63, 81 ], [ 69, 64, 64 ], [ 69, 65, 94 ], [ 69, 66, 46 ], [ 69, 67, 29 ], [ 69, 68, 56 ], [ 69, 69, 0 ], [ 69, 70, 52 ], [ 69, 71, 20 ], [ 69, 72, 116 ], [ 69, 73, 119 ], [ 69, 74, 46 ], [ 69, 75, 33 ], [ 69, 76, 20 ], [ 69, 77, 7 ], [ 69, 78, 86 ], [ 69, 79, 89 ], [ 69, 80, 56 ], [ 69, 81, 107 ], [ 69, 82, 52 ], [ 69, 83, 96 ], [ 69, 84, 94 ], [ 69, 85, 81 ], [ 69, 86, 64 ], [ 69, 87, 41 ], [ 69, 88, 55 ], [ 69, 89, 42 ], [ 69, 90, 90 ], [ 69, 91, 73 ], [ 69, 92, 60 ], [ 69, 93, 12 ], [ 69, 94, 51 ], [ 69, 95, 23 ], [ 69, 96, 96 ], [ 69, 97, 99 ], [ 69, 98, 42 ], [ 69, 99, 30 ], [ 69, 100, 94 ], [ 69, 101, 86 ], [ 69, 102, 7 ], [ 69, 103, 11 ], [ 69, 104, 55 ], [ 69, 105, 103 ], [ 69, 106, 64 ], [ 69, 107, 116 ], [ 69, 108, 20 ], [ 69, 109, 0 ], [ 69, 110, 52 ], [ 69, 111, 29 ], [ 69, 112, 56 ], [ 69, 113, 46 ], [ 69, 114, 23 ], [ 69, 115, 12 ], [ 69, 116, 51 ], [ 69, 117, 73 ], [ 69, 118, 60 ], [ 69, 119, 90 ], [ 70, 0, 0 ], [ 70, 1, 25 ], [ 70, 2, 78 ], [ 70, 3, 41 ], [ 70, 4, 73 ], [ 70, 5, 16 ], [ 70, 6, 7 ], [ 70, 7, 30 ], [ 70, 8, 96 ], [ 70, 9, 41 ], [ 70, 10, 103 ], [ 70, 11, 16 ], [ 70, 12, 89 ], [ 70, 13, 30 ], [ 70, 14, 119 ], [ 70, 15, 25 ], [ 70, 16, 103 ], [ 70, 17, 73 ], [ 70, 18, 89 ], [ 70, 19, 7 ], [ 70, 20, 119 ], [ 70, 21, 0 ], [ 70, 22, 96 ], [ 70, 23, 78 ], [ 70, 24, 29 ], [ 70, 25, 4 ], [ 70, 26, 37 ], [ 70, 27, 81 ], [ 70, 28, 12 ], [ 70, 29, 74 ], [ 70, 30, 96 ], [ 70, 31, 103 ], [ 70, 32, 7 ], [ 70, 33, 81 ], [ 70, 34, 30 ], [ 70, 35, 74 ], [ 70, 36, 119 ], [ 70, 37, 103 ], [ 70, 38, 89 ], [ 70, 39, 4 ], [ 70, 40, 30 ], [ 70, 41, 12 ], [ 70, 42, 119 ], [ 70, 43, 96 ], [ 70, 44, 89 ], [ 70, 45, 29 ], [ 70, 46, 7 ], [ 70, 47, 37 ], [ 70, 48, 37 ], [ 70, 49, 12 ], [ 70, 50, 29 ], [ 70, 51, 111 ], [ 70, 52, 4 ], [ 70, 53, 108 ], [ 70, 54, 78 ], [ 70, 55, 73 ], [ 70, 56, 0 ], [ 70, 57, 111 ], [ 70, 58, 25 ], [ 70, 59, 108 ], [ 70, 60, 89 ], [ 70, 61, 73 ], [ 70, 62, 119 ], [ 70, 63, 12 ], [ 70, 64, 25 ], [ 70, 65, 4 ], [ 70, 66, 89 ], [ 70, 67, 78 ], [ 70, 68, 119 ], [ 70, 69, 37 ], [ 70, 70, 0 ], [ 70, 71, 29 ], [ 70, 72, 29 ], [ 70, 73, 74 ], [ 70, 74, 37 ], [ 70, 75, 108 ], [ 70, 76, 81 ], [ 70, 77, 111 ], [ 70, 78, 0 ], [ 70, 79, 16 ], [ 70, 80, 78 ], [ 70, 81, 108 ], [ 70, 82, 41 ], [ 70, 83, 111 ], [ 70, 84, 7 ], [ 70, 85, 16 ], [ 70, 86, 96 ], [ 70, 87, 74 ], [ 70, 88, 41 ], [ 70, 89, 81 ], [ 70, 90, 7 ], [ 70, 91, 0 ], [ 70, 92, 96 ], [ 70, 93, 29 ], [ 70, 94, 78 ], [ 70, 95, 37 ], [ 70, 96, 4 ], [ 70, 97, 81 ], [ 70, 98, 12 ], [ 70, 99, 111 ], [ 70, 100, 74 ], [ 70, 101, 108 ], [ 70, 102, 25 ], [ 70, 103, 41 ], [ 70, 104, 73 ], [ 70, 105, 111 ], [ 70, 106, 16 ], [ 70, 107, 108 ], [ 70, 108, 30 ], [ 70, 109, 41 ], [ 70, 110, 103 ], [ 70, 111, 81 ], [ 70, 112, 16 ], [ 70, 113, 74 ], [ 70, 114, 30 ], [ 70, 115, 25 ], [ 70, 116, 103 ], [ 70, 117, 4 ], [ 70, 118, 73 ], [ 70, 119, 12 ], [ 71, 0, 0 ], [ 71, 1, 25 ], [ 71, 2, 12 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 5, 82 ], [ 71, 6, 7 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 9, 115 ], [ 71, 10, 29 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 13, 86 ], [ 71, 14, 15 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 17, 103 ], [ 71, 18, 34 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 21, 99 ], [ 71, 22, 78 ], [ 71, 23, 96 ], [ 71, 24, 29 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 27, 15 ], [ 71, 28, 78 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 31, 103 ], [ 71, 32, 25 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 35, 86 ], [ 71, 36, 99 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 39, 34 ], [ 71, 40, 12 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 43, 115 ], [ 71, 44, 82 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 47, 7 ], [ 71, 48, 37 ], [ 71, 49, 12 ], [ 71, 50, 103 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 53, 34 ], [ 71, 54, 78 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 57, 99 ], [ 71, 58, 7 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 61, 82 ], [ 71, 62, 115 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 65, 25 ], [ 71, 66, 86 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 69, 15 ], [ 71, 70, 29 ], [ 71, 71, 0 ], [ 71, 72, 82 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 75, 7 ], [ 71, 76, 99 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 79, 29 ], [ 71, 80, 86 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 83, 115 ], [ 71, 84, 34 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 87, 78 ], [ 71, 88, 15 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 91, 25 ], [ 71, 92, 103 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 95, 12 ], [ 71, 96, 77 ], [ 71, 97, 25 ], [ 71, 98, 115 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 101, 86 ], [ 71, 102, 15 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 105, 103 ], [ 71, 106, 34 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 109, 12 ], [ 71, 110, 99 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 113, 82 ], [ 71, 114, 7 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 117, 29 ], [ 71, 118, 78 ], [ 71, 119, 37 ], [ 72, 0, 0 ], [ 72, 1, 4 ], [ 72, 2, 8 ], [ 72, 3, 7 ], [ 72, 4, 23 ], [ 72, 5, 19 ], [ 72, 6, 30 ], [ 72, 7, 42 ], [ 72, 8, 38 ], [ 72, 9, 25 ], [ 72, 10, 41 ], [ 72, 11, 29 ], [ 72, 12, 56 ], [ 72, 13, 68 ], [ 72, 14, 60 ], [ 72, 15, 52 ], [ 72, 16, 63 ], [ 72, 17, 51 ], [ 72, 18, 107 ], [ 72, 19, 111 ], [ 72, 20, 115 ], [ 72, 21, 99 ], [ 72, 22, 116 ], [ 72, 23, 100 ], [ 72, 24, 38 ], [ 72, 25, 41 ], [ 72, 26, 60 ], [ 72, 27, 63 ], [ 72, 28, 115 ], [ 72, 29, 116 ], [ 72, 30, 56 ], [ 72, 31, 107 ], [ 72, 32, 0 ], [ 72, 33, 81 ], [ 72, 34, 4 ], [ 72, 35, 82 ], [ 72, 36, 30 ], [ 72, 37, 111 ], [ 72, 38, 8 ], [ 72, 39, 89 ], [ 72, 40, 7 ], [ 72, 41, 85 ], [ 72, 42, 42 ], [ 72, 43, 68 ], [ 72, 44, 23 ], [ 72, 45, 94 ], [ 72, 46, 19 ], [ 72, 47, 90 ], [ 72, 48, 8 ], [ 72, 49, 23 ], [ 72, 50, 56 ], [ 72, 51, 51 ], [ 72, 52, 107 ], [ 72, 53, 100 ], [ 72, 54, 60 ], [ 72, 55, 115 ], [ 72, 56, 30 ], [ 72, 57, 85 ], [ 72, 58, 42 ], [ 72, 59, 90 ], [ 72, 60, 0 ], [ 72, 61, 99 ], [ 72, 62, 38 ], [ 72, 63, 94 ], [ 72, 64, 25 ], [ 72, 65, 81 ], [ 72, 66, 4 ], [ 72, 67, 52 ], [ 72, 68, 41 ], [ 72, 69, 89 ], [ 72, 70, 29 ], [ 72, 71, 82 ], [ 72, 72, 0 ], [ 72, 73, 19 ], [ 72, 74, 30 ], [ 72, 75, 29 ], [ 72, 76, 111 ], [ 72, 77, 99 ], [ 72, 78, 38 ], [ 72, 79, 116 ], [ 72, 80, 56 ], [ 72, 81, 82 ], [ 72, 82, 68 ], [ 72, 83, 94 ], [ 72, 84, 8 ], [ 72, 85, 100 ], [ 72, 86, 60 ], [ 72, 87, 90 ], [ 72, 88, 52 ], [ 72, 89, 89 ], [ 72, 90, 7 ], [ 72, 91, 25 ], [ 72, 92, 63 ], [ 72, 93, 81 ], [ 72, 94, 51 ], [ 72, 95, 85 ], [ 72, 96, 4 ], [ 72, 97, 7 ], [ 72, 98, 42 ], [ 72, 99, 25 ], [ 72, 100, 68 ], [ 72, 101, 52 ], [ 72, 102, 41 ], [ 72, 103, 63 ], [ 72, 104, 107 ], [ 72, 105, 81 ], [ 72, 106, 111 ], [ 72, 107, 89 ], [ 72, 108, 23 ], [ 72, 109, 51 ], [ 72, 110, 115 ], [ 72, 111, 85 ], [ 72, 112, 99 ], [ 72, 113, 94 ], [ 72, 114, 19 ], [ 72, 115, 29 ], [ 72, 116, 116 ], [ 72, 117, 82 ], [ 72, 118, 100 ], [ 72, 119, 90 ], [ 73, 0, 0 ], [ 73, 1, 4 ], [ 73, 2, 23 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 5, 11 ], [ 73, 6, 30 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 9, 34 ], [ 73, 10, 38 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 13, 104 ], [ 73, 14, 119 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 17, 107 ], [ 73, 18, 71 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 21, 67 ], [ 73, 22, 60 ], [ 73, 23, 56 ], [ 73, 24, 38 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 27, 119 ], [ 73, 28, 60 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 31, 107 ], [ 73, 32, 4 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 35, 104 ], [ 73, 36, 67 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 39, 71 ], [ 73, 40, 23 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 43, 34 ], [ 73, 44, 11 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 47, 30 ], [ 73, 48, 8 ], [ 73, 49, 23 ], [ 73, 50, 107 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 53, 71 ], [ 73, 54, 60 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 57, 67 ], [ 73, 58, 30 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 61, 11 ], [ 73, 62, 34 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 65, 4 ], [ 73, 66, 104 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 69, 119 ], [ 73, 70, 38 ], [ 73, 71, 0 ], [ 73, 72, 11 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 75, 30 ], [ 73, 76, 67 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 79, 38 ], [ 73, 80, 104 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 83, 34 ], [ 73, 84, 71 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 87, 60 ], [ 73, 88, 119 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 91, 4 ], [ 73, 92, 107 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 95, 23 ], [ 73, 96, 20 ], [ 73, 97, 4 ], [ 73, 98, 34 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 101, 104 ], [ 73, 102, 119 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 105, 107 ], [ 73, 106, 71 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 109, 23 ], [ 73, 110, 67 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 113, 11 ], [ 73, 114, 30 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 117, 38 ], [ 73, 118, 60 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 1, 20 ], [ 74, 2, 8 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 5, 0 ], [ 74, 6, 48 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 9, 52 ], [ 74, 10, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 13, 25 ], [ 74, 14, 38 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 17, 26 ], [ 74, 18, 100 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 21, 99 ], [ 74, 22, 119 ], [ 74, 23, 100 ], [ 74, 24, 38 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 27, 119 ], [ 74, 28, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 31, 89 ], [ 74, 32, 8 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 35, 86 ], [ 74, 36, 78 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 39, 81 ], [ 74, 40, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 43, 94 ], [ 74, 44, 20 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 47, 90 ], [ 74, 48, 26 ], [ 74, 49, 100 ], [ 74, 50, 8 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 53, 26 ], [ 74, 54, 78 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 57, 90 ], [ 74, 58, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 61, 73 ], [ 74, 62, 48 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 65, 86 ], [ 74, 66, 89 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 69, 77 ], [ 74, 70, 52 ], [ 74, 71, 89 ], [ 74, 72, 48 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 75, 99 ], [ 74, 76, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 79, 94 ], [ 74, 80, 38 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 83, 86 ], [ 74, 84, 78 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 87, 77 ], [ 74, 88, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 91, 73 ], [ 74, 92, 25 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 95, 81 ], [ 74, 96, 52 ], [ 74, 97, 25 ], [ 74, 98, 20 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 101, 52 ], [ 74, 102, 89 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 105, 81 ], [ 74, 106, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 109, 73 ], [ 74, 110, 100 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 113, 90 ], [ 74, 114, 94 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 117, 77 ], [ 74, 118, 99 ], [ 74, 119, 94 ], [ 75, 0, 0 ], [ 75, 1, 20 ], [ 75, 2, 3 ], [ 75, 3, 7 ], [ 75, 4, 23 ], [ 75, 5, 11 ], [ 75, 6, 48 ], [ 75, 7, 52 ], [ 75, 8, 63 ], [ 75, 9, 55 ], [ 75, 10, 64 ], [ 75, 11, 67 ], [ 75, 12, 100 ], [ 75, 13, 96 ], [ 75, 14, 119 ], [ 75, 15, 104 ], [ 75, 16, 115 ], [ 75, 17, 112 ], [ 75, 18, 26 ], [ 75, 19, 29 ], [ 75, 20, 38 ], [ 75, 21, 45 ], [ 75, 22, 37 ], [ 75, 23, 33 ], [ 75, 24, 38 ], [ 75, 25, 119 ], [ 75, 26, 37 ], [ 75, 27, 63 ], [ 75, 28, 115 ], [ 75, 29, 64 ], [ 75, 30, 86 ], [ 75, 31, 89 ], [ 75, 32, 7 ], [ 75, 33, 33 ], [ 75, 34, 11 ], [ 75, 35, 112 ], [ 75, 36, 90 ], [ 75, 37, 93 ], [ 75, 38, 20 ], [ 75, 39, 45 ], [ 75, 40, 23 ], [ 75, 41, 67 ], [ 75, 42, 78 ], [ 75, 43, 82 ], [ 75, 44, 0 ], [ 75, 45, 104 ], [ 75, 46, 3 ], [ 75, 47, 55 ], [ 75, 48, 26 ], [ 75, 49, 100 ], [ 75, 50, 33 ], [ 75, 51, 3 ], [ 75, 52, 112 ], [ 75, 53, 23 ], [ 75, 54, 78 ], [ 75, 55, 90 ], [ 75, 56, 55 ], [ 75, 57, 37 ], [ 75, 58, 67 ], [ 75, 59, 115 ], [ 75, 60, 89 ], [ 75, 61, 82 ], [ 75, 62, 52 ], [ 75, 63, 29 ], [ 75, 64, 64 ], [ 75, 65, 11 ], [ 75, 66, 86 ], [ 75, 67, 93 ], [ 75, 68, 48 ], [ 75, 69, 96 ], [ 75, 70, 63 ], [ 75, 71, 7 ], [ 75, 72, 29 ], [ 75, 73, 48 ], [ 75, 74, 45 ], [ 75, 75, 0 ], [ 75, 76, 67 ], [ 75, 77, 11 ], [ 75, 78, 82 ], [ 75, 79, 86 ], [ 75, 80, 104 ], [ 75, 81, 38 ], [ 75, 82, 112 ], [ 75, 83, 64 ], [ 75, 84, 93 ], [ 75, 85, 78 ], [ 75, 86, 96 ], [ 75, 87, 26 ], [ 75, 88, 115 ], [ 75, 89, 23 ], [ 75, 90, 90 ], [ 75, 91, 89 ], [ 75, 92, 100 ], [ 75, 93, 52 ], [ 75, 94, 119 ], [ 75, 95, 20 ], [ 75, 96, 96 ], [ 75, 97, 52 ], [ 75, 98, 104 ], [ 75, 99, 20 ], [ 75, 100, 55 ], [ 75, 101, 7 ], [ 75, 102, 93 ], [ 75, 103, 89 ], [ 75, 104, 45 ], [ 75, 105, 119 ], [ 75, 106, 33 ], [ 75, 107, 63 ], [ 75, 108, 82 ], [ 75, 109, 90 ], [ 75, 110, 29 ], [ 75, 111, 100 ], [ 75, 112, 37 ], [ 75, 113, 3 ], [ 75, 114, 78 ], [ 75, 115, 86 ], [ 75, 116, 26 ], [ 75, 117, 48 ], [ 75, 118, 38 ], [ 75, 119, 0 ], [ 76, 0, 0 ], [ 76, 1, 7 ], [ 76, 2, 23 ], [ 76, 3, 7 ], [ 76, 4, 23 ], [ 76, 5, 0 ], [ 76, 6, 111 ], [ 76, 7, 104 ], [ 76, 8, 115 ], [ 76, 9, 104 ], [ 76, 10, 115 ], [ 76, 11, 111 ], [ 76, 12, 33 ], [ 76, 13, 42 ], [ 76, 14, 38 ], [ 76, 15, 42 ], [ 76, 16, 38 ], [ 76, 17, 33 ], [ 76, 18, 56 ], [ 76, 19, 67 ], [ 76, 20, 63 ], [ 76, 21, 67 ], [ 76, 22, 63 ], [ 76, 23, 56 ], [ 76, 24, 38 ], [ 76, 25, 63 ], [ 76, 26, 115 ], [ 76, 27, 63 ], [ 76, 28, 115 ], [ 76, 29, 38 ], [ 76, 30, 68 ], [ 76, 31, 45 ], [ 76, 32, 23 ], [ 76, 33, 45 ], [ 76, 34, 23 ], [ 76, 35, 68 ], [ 76, 36, 55 ], [ 76, 37, 107 ], [ 76, 38, 0 ], [ 76, 39, 107 ], [ 76, 40, 0 ], [ 76, 41, 55 ], [ 76, 42, 30 ], [ 76, 43, 112 ], [ 76, 44, 7 ], [ 76, 45, 112 ], [ 76, 46, 7 ], [ 76, 47, 30 ], [ 76, 48, 33 ], [ 76, 49, 56 ], [ 76, 50, 23 ], [ 76, 51, 56 ], [ 76, 52, 23 ], [ 76, 53, 33 ], [ 76, 54, 55 ], [ 76, 55, 30 ], [ 76, 56, 115 ], [ 76, 57, 30 ], [ 76, 58, 115 ], [ 76, 59, 55 ], [ 76, 60, 68 ], [ 76, 61, 12 ], [ 76, 62, 111 ], [ 76, 63, 12 ], [ 76, 64, 111 ], [ 76, 65, 68 ], [ 76, 66, 45 ], [ 76, 67, 15 ], [ 76, 68, 104 ], [ 76, 69, 15 ], [ 76, 70, 104 ], [ 76, 71, 45 ], [ 76, 72, 111 ], [ 76, 73, 67 ], [ 76, 74, 0 ], [ 76, 75, 67 ], [ 76, 76, 0 ], [ 76, 77, 111 ], [ 76, 78, 68 ], [ 76, 79, 112 ], [ 76, 80, 38 ], [ 76, 81, 112 ], [ 76, 82, 38 ], [ 76, 83, 68 ], [ 76, 84, 55 ], [ 76, 85, 15 ], [ 76, 86, 33 ], [ 76, 87, 15 ], [ 76, 88, 33 ], [ 76, 89, 55 ], [ 76, 90, 107 ], [ 76, 91, 12 ], [ 76, 92, 42 ], [ 76, 93, 12 ], [ 76, 94, 42 ], [ 76, 95, 107 ], [ 76, 96, 104 ], [ 76, 97, 42 ], [ 76, 98, 7 ], [ 76, 99, 42 ], [ 76, 100, 7 ], [ 76, 101, 104 ], [ 76, 102, 45 ], [ 76, 103, 107 ], [ 76, 104, 63 ], [ 76, 105, 107 ], [ 76, 106, 63 ], [ 76, 107, 45 ], [ 76, 108, 30 ], [ 76, 109, 12 ], [ 76, 110, 56 ], [ 76, 111, 12 ], [ 76, 112, 56 ], [ 76, 113, 30 ], [ 76, 114, 112 ], [ 76, 115, 15 ], [ 76, 116, 67 ], [ 76, 117, 15 ], [ 76, 118, 67 ], [ 76, 119, 112 ], [ 77, 0, 0 ], [ 77, 1, 7 ], [ 77, 2, 3 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 5, 19 ], [ 77, 6, 111 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 9, 108 ], [ 77, 10, 119 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 13, 55 ], [ 77, 14, 60 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 17, 56 ], [ 77, 18, 46 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 21, 45 ], [ 77, 22, 38 ], [ 77, 23, 33 ], [ 77, 24, 38 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 27, 119 ], [ 77, 28, 60 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 31, 45 ], [ 77, 32, 19 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 35, 46 ], [ 77, 36, 108 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 39, 111 ], [ 77, 40, 7 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 43, 56 ], [ 77, 44, 3 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 47, 55 ], [ 77, 48, 33 ], [ 77, 49, 56 ], [ 77, 50, 46 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 53, 3 ], [ 77, 54, 55 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 57, 60 ], [ 77, 58, 108 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 61, 38 ], [ 77, 62, 119 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 65, 45 ], [ 77, 66, 19 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 69, 7 ], [ 77, 70, 111 ], [ 77, 71, 68 ], [ 77, 72, 45 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 75, 19 ], [ 77, 76, 111 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 79, 46 ], [ 77, 80, 56 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 83, 38 ], [ 77, 84, 7 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 87, 3 ], [ 77, 88, 55 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 91, 119 ], [ 77, 92, 60 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 95, 108 ], [ 77, 96, 68 ], [ 77, 97, 108 ], [ 77, 98, 55 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 101, 7 ], [ 77, 102, 111 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 105, 119 ], [ 77, 106, 45 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 109, 60 ], [ 77, 110, 38 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 113, 56 ], [ 77, 114, 3 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 117, 19 ], [ 77, 118, 46 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 1, 4 ], [ 78, 2, 56 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 5, 103 ], [ 78, 6, 30 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 9, 55 ], [ 78, 10, 115 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 13, 42 ], [ 78, 14, 12 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 17, 107 ], [ 78, 18, 26 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 21, 0 ], [ 78, 22, 60 ], [ 78, 23, 56 ], [ 78, 24, 74 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 27, 85 ], [ 78, 28, 93 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 31, 115 ], [ 78, 32, 30 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 35, 90 ], [ 78, 36, 12 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 39, 77 ], [ 78, 40, 42 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 43, 60 ], [ 78, 44, 26 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 47, 86 ], [ 78, 48, 86 ], [ 78, 49, 93 ], [ 78, 50, 74 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 53, 82 ], [ 78, 54, 56 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 57, 81 ], [ 78, 58, 4 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 61, 107 ], [ 78, 62, 12 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 65, 77 ], [ 78, 66, 26 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 69, 86 ], [ 78, 70, 0 ], [ 78, 71, 74 ], [ 78, 72, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 75, 82 ], [ 78, 76, 85 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 79, 103 ], [ 78, 80, 56 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 83, 81 ], [ 78, 84, 30 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 87, 90 ], [ 78, 88, 55 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 91, 0 ], [ 78, 92, 60 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 95, 86 ], [ 78, 96, 77 ], [ 78, 97, 85 ], [ 78, 98, 93 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 101, 82 ], [ 78, 102, 4 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 105, 81 ], [ 78, 106, 103 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 109, 55 ], [ 78, 110, 115 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 113, 90 ], [ 78, 114, 42 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 117, 77 ], [ 78, 118, 107 ], [ 78, 119, 93 ], [ 79, 0, 0 ], [ 79, 1, 4 ], [ 79, 2, 107 ], [ 79, 3, 104 ], [ 79, 4, 56 ], [ 79, 5, 59 ], [ 79, 6, 30 ], [ 79, 7, 42 ], [ 79, 8, 115 ], [ 79, 9, 108 ], [ 79, 10, 60 ], [ 79, 11, 67 ], [ 79, 12, 33 ], [ 79, 13, 25 ], [ 79, 14, 15 ], [ 79, 15, 7 ], [ 79, 16, 63 ], [ 79, 17, 51 ], [ 79, 18, 46 ], [ 79, 19, 29 ], [ 79, 20, 16 ], [ 79, 21, 19 ], [ 79, 22, 116 ], [ 79, 23, 100 ], [ 79, 24, 74 ], [ 79, 25, 77 ], [ 79, 26, 93 ], [ 79, 27, 94 ], [ 79, 28, 86 ], [ 79, 29, 89 ], [ 79, 30, 60 ], [ 79, 31, 115 ], [ 79, 32, 42 ], [ 79, 33, 67 ], [ 79, 34, 30 ], [ 79, 35, 108 ], [ 79, 36, 63 ], [ 79, 37, 15 ], [ 79, 38, 25 ], [ 79, 39, 51 ], [ 79, 40, 33 ], [ 79, 41, 7 ], [ 79, 42, 116 ], [ 79, 43, 16 ], [ 79, 44, 29 ], [ 79, 45, 100 ], [ 79, 46, 46 ], [ 79, 47, 19 ], [ 79, 48, 86 ], [ 79, 49, 93 ], [ 79, 50, 77 ], [ 79, 51, 89 ], [ 79, 52, 74 ], [ 79, 53, 94 ], [ 79, 54, 56 ], [ 79, 55, 107 ], [ 79, 56, 4 ], [ 79, 57, 59 ], [ 79, 58, 0 ], [ 79, 59, 104 ], [ 79, 60, 51 ], [ 79, 61, 33 ], [ 79, 62, 7 ], [ 79, 63, 63 ], [ 79, 64, 15 ], [ 79, 65, 25 ], [ 79, 66, 100 ], [ 79, 67, 46 ], [ 79, 68, 19 ], [ 79, 69, 116 ], [ 79, 70, 16 ], [ 79, 71, 29 ], [ 79, 72, 89 ], [ 79, 73, 74 ], [ 79, 74, 94 ], [ 79, 75, 86 ], [ 79, 76, 93 ], [ 79, 77, 77 ], [ 79, 78, 59 ], [ 79, 79, 0 ], [ 79, 80, 104 ], [ 79, 81, 56 ], [ 79, 82, 107 ], [ 79, 83, 4 ], [ 79, 84, 67 ], [ 79, 85, 30 ], [ 79, 86, 108 ], [ 79, 87, 60 ], [ 79, 88, 115 ], [ 79, 89, 42 ], [ 79, 90, 19 ], [ 79, 91, 29 ], [ 79, 92, 100 ], [ 79, 93, 16 ], [ 79, 94, 116 ], [ 79, 95, 46 ], [ 79, 96, 94 ], [ 79, 97, 77 ], [ 79, 98, 89 ], [ 79, 99, 93 ], [ 79, 100, 86 ], [ 79, 101, 74 ], [ 79, 102, 104 ], [ 79, 103, 4 ], [ 79, 104, 59 ], [ 79, 105, 107 ], [ 79, 106, 56 ], [ 79, 107, 0 ], [ 79, 108, 108 ], [ 79, 109, 42 ], [ 79, 110, 67 ], [ 79, 111, 115 ], [ 79, 112, 60 ], [ 79, 113, 30 ], [ 79, 114, 7 ], [ 79, 115, 25 ], [ 79, 116, 51 ], [ 79, 117, 15 ], [ 79, 118, 63 ], [ 79, 119, 33 ], [ 80, 0, 0 ], [ 80, 1, 104 ], [ 80, 2, 56 ], [ 80, 3, 104 ], [ 80, 4, 56 ], [ 80, 5, 0 ], [ 80, 6, 0 ], [ 80, 7, 104 ], [ 80, 8, 38 ], [ 80, 9, 104 ], [ 80, 10, 38 ], [ 80, 11, 0 ], [ 80, 12, 56 ], [ 80, 13, 104 ], [ 80, 14, 38 ], [ 80, 15, 104 ], [ 80, 16, 38 ], [ 80, 17, 56 ], [ 80, 18, 56 ], [ 80, 19, 0 ], [ 80, 20, 38 ], [ 80, 21, 0 ], [ 80, 22, 38 ], [ 80, 23, 56 ], [ 80, 24, 74 ], [ 80, 25, 94 ], [ 80, 26, 86 ], [ 80, 27, 94 ], [ 80, 28, 86 ], [ 80, 29, 74 ], [ 80, 30, 74 ], [ 80, 31, 94 ], [ 80, 32, 38 ], [ 80, 33, 94 ], [ 80, 34, 38 ], [ 80, 35, 74 ], [ 80, 36, 86 ], [ 80, 37, 94 ], [ 80, 38, 38 ], [ 80, 39, 94 ], [ 80, 40, 38 ], [ 80, 41, 86 ], [ 80, 42, 86 ], [ 80, 43, 74 ], [ 80, 44, 38 ], [ 80, 45, 74 ], [ 80, 46, 38 ], [ 80, 47, 86 ], [ 80, 48, 78 ], [ 80, 49, 82 ], [ 80, 50, 86 ], [ 80, 51, 82 ], [ 80, 52, 86 ], [ 80, 53, 78 ], [ 80, 54, 78 ], [ 80, 55, 82 ], [ 80, 56, 56 ], [ 80, 57, 82 ], [ 80, 58, 56 ], [ 80, 59, 78 ], [ 80, 60, 86 ], [ 80, 61, 82 ], [ 80, 62, 56 ], [ 80, 63, 82 ], [ 80, 64, 56 ], [ 80, 65, 86 ], [ 80, 66, 86 ], [ 80, 67, 78 ], [ 80, 68, 56 ], [ 80, 69, 78 ], [ 80, 70, 56 ], [ 80, 71, 86 ], [ 80, 72, 78 ], [ 80, 73, 81 ], [ 80, 74, 74 ], [ 80, 75, 81 ], [ 80, 76, 74 ], [ 80, 77, 78 ], [ 80, 78, 78 ], [ 80, 79, 81 ], [ 80, 80, 0 ], [ 80, 81, 81 ], [ 80, 82, 0 ], [ 80, 83, 78 ], [ 80, 84, 74 ], [ 80, 85, 81 ], [ 80, 86, 0 ], [ 80, 87, 81 ], [ 80, 88, 0 ], [ 80, 89, 74 ], [ 80, 90, 74 ], [ 80, 91, 78 ], [ 80, 92, 0 ], [ 80, 93, 78 ], [ 80, 94, 0 ], [ 80, 95, 74 ], [ 80, 96, 82 ], [ 80, 97, 81 ], [ 80, 98, 94 ], [ 80, 99, 81 ], [ 80, 100, 94 ], [ 80, 101, 82 ], [ 80, 102, 82 ], [ 80, 103, 81 ], [ 80, 104, 104 ], [ 80, 105, 81 ], [ 80, 106, 104 ], [ 80, 107, 82 ], [ 80, 108, 94 ], [ 80, 109, 81 ], [ 80, 110, 104 ], [ 80, 111, 81 ], [ 80, 112, 104 ], [ 80, 113, 94 ], [ 80, 114, 94 ], [ 80, 115, 82 ], [ 80, 116, 104 ], [ 80, 117, 82 ], [ 80, 118, 104 ], [ 80, 119, 94 ], [ 81, 0, 0 ], [ 81, 1, 104 ], [ 81, 2, 3 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 5, 59 ], [ 81, 6, 0 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 9, 25 ], [ 81, 10, 119 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 13, 55 ], [ 81, 14, 15 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 17, 33 ], [ 81, 18, 107 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 21, 45 ], [ 81, 22, 63 ], [ 81, 23, 33 ], [ 81, 24, 74 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 27, 85 ], [ 81, 28, 93 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 31, 94 ], [ 81, 32, 25 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 35, 119 ], [ 81, 36, 73 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 39, 15 ], [ 81, 40, 33 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 43, 89 ], [ 81, 44, 45 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 47, 63 ], [ 81, 48, 78 ], [ 81, 49, 82 ], [ 81, 50, 85 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 53, 93 ], [ 81, 54, 78 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 57, 3 ], [ 81, 58, 59 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 61, 73 ], [ 81, 62, 55 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 65, 33 ], [ 81, 66, 89 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 69, 107 ], [ 81, 70, 63 ], [ 81, 71, 33 ], [ 81, 72, 82 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 75, 74 ], [ 81, 76, 93 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 79, 78 ], [ 81, 80, 104 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 83, 59 ], [ 81, 84, 94 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 87, 0 ], [ 81, 88, 119 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 91, 89 ], [ 81, 92, 107 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 95, 45 ], [ 81, 96, 78 ], [ 81, 97, 82 ], [ 81, 98, 74 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 101, 85 ], [ 81, 102, 78 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 105, 104 ], [ 81, 106, 3 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 109, 94 ], [ 81, 110, 0 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 113, 25 ], [ 81, 114, 73 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 117, 55 ], [ 81, 118, 15 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 1, 55 ], [ 82, 2, 107 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 5, 0 ], [ 82, 6, 11 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 9, 52 ], [ 82, 10, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 13, 68 ], [ 82, 14, 38 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 17, 112 ], [ 82, 18, 100 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 21, 19 ], [ 82, 22, 37 ], [ 82, 23, 100 ], [ 82, 24, 74 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 27, 85 ], [ 82, 28, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 31, 11 ], [ 82, 32, 41 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 35, 52 ], [ 82, 36, 68 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 39, 112 ], [ 82, 40, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 43, 100 ], [ 82, 44, 37 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 47, 19 ], [ 82, 48, 85 ], [ 82, 49, 74 ], [ 82, 50, 93 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 53, 85 ], [ 82, 54, 55 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 57, 0 ], [ 82, 58, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 61, 38 ], [ 82, 62, 112 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 65, 68 ], [ 82, 66, 19 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 69, 37 ], [ 82, 70, 100 ], [ 82, 71, 19 ], [ 82, 72, 85 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 75, 93 ], [ 82, 76, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 79, 107 ], [ 82, 80, 0 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 83, 55 ], [ 82, 84, 52 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 87, 41 ], [ 82, 88, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 91, 37 ], [ 82, 92, 19 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 95, 100 ], [ 82, 96, 74 ], [ 82, 97, 93 ], [ 82, 98, 85 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 101, 74 ], [ 82, 102, 0 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 105, 107 ], [ 82, 106, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 109, 41 ], [ 82, 110, 52 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 113, 11 ], [ 82, 114, 112 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 117, 38 ], [ 82, 118, 68 ], [ 82, 119, 112 ], [ 83, 0, 0 ], [ 83, 1, 55 ], [ 83, 2, 3 ], [ 83, 3, 104 ], [ 83, 4, 56 ], [ 83, 5, 103 ], [ 83, 6, 11 ], [ 83, 7, 52 ], [ 83, 8, 16 ], [ 83, 9, 34 ], [ 83, 10, 64 ], [ 83, 11, 29 ], [ 83, 12, 23 ], [ 83, 13, 96 ], [ 83, 14, 12 ], [ 83, 15, 42 ], [ 83, 16, 115 ], [ 83, 17, 26 ], [ 83, 18, 71 ], [ 83, 19, 111 ], [ 83, 20, 63 ], [ 83, 21, 45 ], [ 83, 22, 119 ], [ 83, 23, 33 ], [ 83, 24, 74 ], [ 83, 25, 85 ], [ 83, 26, 73 ], [ 83, 27, 94 ], [ 83, 28, 86 ], [ 83, 29, 90 ], [ 83, 30, 52 ], [ 83, 31, 11 ], [ 83, 32, 29 ], [ 83, 33, 64 ], [ 83, 34, 34 ], [ 83, 35, 16 ], [ 83, 36, 96 ], [ 83, 37, 23 ], [ 83, 38, 26 ], [ 83, 39, 115 ], [ 83, 40, 42 ], [ 83, 41, 12 ], [ 83, 42, 111 ], [ 83, 43, 71 ], [ 83, 44, 33 ], [ 83, 45, 119 ], [ 83, 46, 45 ], [ 83, 47, 63 ], [ 83, 48, 85 ], [ 83, 49, 74 ], [ 83, 50, 90 ], [ 83, 51, 86 ], [ 83, 52, 94 ], [ 83, 53, 73 ], [ 83, 54, 55 ], [ 83, 55, 0 ], [ 83, 56, 103 ], [ 83, 57, 56 ], [ 83, 58, 104 ], [ 83, 59, 3 ], [ 83, 60, 42 ], [ 83, 61, 12 ], [ 83, 62, 115 ], [ 83, 63, 26 ], [ 83, 64, 96 ], [ 83, 65, 23 ], [ 83, 66, 45 ], [ 83, 67, 63 ], [ 83, 68, 119 ], [ 83, 69, 33 ], [ 83, 70, 111 ], [ 83, 71, 71 ], [ 83, 72, 94 ], [ 83, 73, 73 ], [ 83, 74, 86 ], [ 83, 75, 90 ], [ 83, 76, 85 ], [ 83, 77, 74 ], [ 83, 78, 104 ], [ 83, 79, 3 ], [ 83, 80, 56 ], [ 83, 81, 103 ], [ 83, 82, 55 ], [ 83, 83, 0 ], [ 83, 84, 34 ], [ 83, 85, 16 ], [ 83, 86, 64 ], [ 83, 87, 29 ], [ 83, 88, 52 ], [ 83, 89, 11 ], [ 83, 90, 33 ], [ 83, 91, 119 ], [ 83, 92, 63 ], [ 83, 93, 45 ], [ 83, 94, 71 ], [ 83, 95, 111 ], [ 83, 96, 90 ], [ 83, 97, 86 ], [ 83, 98, 73 ], [ 83, 99, 94 ], [ 83, 100, 74 ], [ 83, 101, 85 ], [ 83, 102, 103 ], [ 83, 103, 56 ], [ 83, 104, 3 ], [ 83, 105, 104 ], [ 83, 106, 0 ], [ 83, 107, 55 ], [ 83, 108, 29 ], [ 83, 109, 64 ], [ 83, 110, 16 ], [ 83, 111, 34 ], [ 83, 112, 11 ], [ 83, 113, 52 ], [ 83, 114, 26 ], [ 83, 115, 115 ], [ 83, 116, 12 ], [ 83, 117, 42 ], [ 83, 118, 23 ], [ 83, 119, 96 ], [ 84, 0, 0 ], [ 84, 1, 20 ], [ 84, 2, 26 ], [ 84, 3, 42 ], [ 84, 4, 100 ], [ 84, 5, 103 ], [ 84, 6, 48 ], [ 84, 7, 52 ], [ 84, 8, 38 ], [ 84, 9, 34 ], [ 84, 10, 119 ], [ 84, 11, 111 ], [ 84, 12, 56 ], [ 84, 13, 55 ], [ 84, 14, 12 ], [ 84, 15, 7 ], [ 84, 16, 115 ], [ 84, 17, 112 ], [ 84, 18, 71 ], [ 84, 19, 67 ], [ 84, 20, 16 ], [ 84, 21, 11 ], [ 84, 22, 37 ], [ 84, 23, 33 ], [ 84, 24, 26 ], [ 84, 25, 100 ], [ 84, 26, 0 ], [ 84, 27, 103 ], [ 84, 28, 20 ], [ 84, 29, 42 ], [ 84, 30, 12 ], [ 84, 31, 16 ], [ 84, 32, 56 ], [ 84, 33, 82 ], [ 84, 34, 71 ], [ 84, 35, 93 ], [ 84, 36, 38 ], [ 84, 37, 37 ], [ 84, 38, 48 ], [ 84, 39, 73 ], [ 84, 40, 67 ], [ 84, 41, 94 ], [ 84, 42, 119 ], [ 84, 43, 115 ], [ 84, 44, 52 ], [ 84, 45, 77 ], [ 84, 46, 55 ], [ 84, 47, 81 ], [ 84, 48, 38 ], [ 84, 49, 119 ], [ 84, 50, 48 ], [ 84, 51, 111 ], [ 84, 52, 52 ], [ 84, 53, 34 ], [ 84, 54, 56 ], [ 84, 55, 71 ], [ 84, 56, 12 ], [ 84, 57, 93 ], [ 84, 58, 16 ], [ 84, 59, 82 ], [ 84, 60, 26 ], [ 84, 61, 33 ], [ 84, 62, 0 ], [ 84, 63, 81 ], [ 84, 64, 11 ], [ 84, 65, 77 ], [ 84, 66, 100 ], [ 84, 67, 112 ], [ 84, 68, 20 ], [ 84, 69, 94 ], [ 84, 70, 7 ], [ 84, 71, 73 ], [ 84, 72, 12 ], [ 84, 73, 115 ], [ 84, 74, 56 ], [ 84, 75, 112 ], [ 84, 76, 55 ], [ 84, 77, 7 ], [ 84, 78, 48 ], [ 84, 79, 67 ], [ 84, 80, 38 ], [ 84, 81, 94 ], [ 84, 82, 37 ], [ 84, 83, 73 ], [ 84, 84, 0 ], [ 84, 85, 11 ], [ 84, 86, 26 ], [ 84, 87, 77 ], [ 84, 88, 33 ], [ 84, 89, 81 ], [ 84, 90, 103 ], [ 84, 91, 111 ], [ 84, 92, 42 ], [ 84, 93, 93 ], [ 84, 94, 34 ], [ 84, 95, 82 ], [ 84, 96, 16 ], [ 84, 97, 37 ], [ 84, 98, 71 ], [ 84, 99, 33 ], [ 84, 100, 67 ], [ 84, 101, 11 ], [ 84, 102, 52 ], [ 84, 103, 55 ], [ 84, 104, 119 ], [ 84, 105, 81 ], [ 84, 106, 115 ], [ 84, 107, 77 ], [ 84, 108, 20 ], [ 84, 109, 7 ], [ 84, 110, 100 ], [ 84, 111, 73 ], [ 84, 112, 112 ], [ 84, 113, 94 ], [ 84, 114, 42 ], [ 84, 115, 34 ], [ 84, 116, 103 ], [ 84, 117, 82 ], [ 84, 118, 111 ], [ 84, 119, 93 ], [ 85, 0, 0 ], [ 85, 1, 20 ], [ 85, 2, 107 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 5, 29 ], [ 85, 6, 48 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 9, 104 ], [ 85, 10, 41 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 13, 68 ], [ 85, 14, 16 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 17, 26 ], [ 85, 18, 56 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 21, 19 ], [ 85, 22, 119 ], [ 85, 23, 100 ], [ 85, 24, 26 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 27, 19 ], [ 85, 28, 104 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 31, 16 ], [ 85, 32, 68 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 35, 107 ], [ 85, 36, 119 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 39, 29 ], [ 85, 40, 56 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 43, 41 ], [ 85, 44, 48 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 47, 20 ], [ 85, 48, 38 ], [ 85, 49, 119 ], [ 85, 50, 29 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 53, 68 ], [ 85, 54, 56 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 57, 41 ], [ 85, 58, 19 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 61, 107 ], [ 85, 62, 20 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 65, 48 ], [ 85, 66, 26 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 69, 104 ], [ 85, 70, 16 ], [ 85, 71, 52 ], [ 85, 72, 41 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 75, 56 ], [ 85, 76, 20 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 79, 48 ], [ 85, 80, 104 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 83, 16 ], [ 85, 84, 19 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 87, 26 ], [ 85, 88, 119 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 91, 29 ], [ 85, 92, 107 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 95, 68 ], [ 85, 96, 116 ], [ 85, 97, 16 ], [ 85, 98, 107 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 101, 48 ], [ 85, 102, 68 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 105, 119 ], [ 85, 106, 26 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 109, 20 ], [ 85, 110, 29 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 113, 56 ], [ 85, 114, 104 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 117, 19 ], [ 85, 118, 41 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 1, 104 ], [ 86, 2, 26 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 5, 19 ], [ 86, 6, 0 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 9, 108 ], [ 86, 10, 64 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 13, 96 ], [ 86, 14, 60 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 17, 33 ], [ 86, 18, 46 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 21, 11 ], [ 86, 22, 63 ], [ 86, 23, 33 ], [ 86, 24, 26 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 27, 19 ], [ 86, 28, 104 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 31, 46 ], [ 86, 32, 60 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 35, 77 ], [ 86, 36, 0 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 39, 90 ], [ 86, 40, 63 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 43, 96 ], [ 86, 44, 64 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 47, 81 ], [ 86, 48, 60 ], [ 86, 49, 64 ], [ 86, 50, 0 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 53, 108 ], [ 86, 54, 60 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 57, 77 ], [ 86, 58, 46 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 61, 11 ], [ 86, 62, 26 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 65, 81 ], [ 86, 66, 104 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 69, 90 ], [ 86, 70, 33 ], [ 86, 71, 81 ], [ 86, 72, 60 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 75, 33 ], [ 86, 76, 96 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 79, 63 ], [ 86, 80, 0 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 83, 90 ], [ 86, 84, 26 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 87, 81 ], [ 86, 88, 11 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 91, 108 ], [ 86, 92, 19 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 95, 77 ], [ 86, 96, 64 ], [ 86, 97, 63 ], [ 86, 98, 46 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 101, 11 ], [ 86, 102, 64 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 105, 81 ], [ 86, 106, 96 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 109, 33 ], [ 86, 110, 104 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 113, 90 ], [ 86, 114, 19 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 117, 77 ], [ 86, 118, 108 ], [ 86, 119, 90 ], [ 87, 0, 0 ], [ 87, 1, 104 ], [ 87, 2, 23 ], [ 87, 3, 42 ], [ 87, 4, 100 ], [ 87, 5, 29 ], [ 87, 6, 0 ], [ 87, 7, 104 ], [ 87, 8, 16 ], [ 87, 9, 52 ], [ 87, 10, 115 ], [ 87, 11, 67 ], [ 87, 12, 23 ], [ 87, 13, 42 ], [ 87, 14, 16 ], [ 87, 15, 52 ], [ 87, 16, 38 ], [ 87, 17, 56 ], [ 87, 18, 100 ], [ 87, 19, 29 ], [ 87, 20, 115 ], [ 87, 21, 67 ], [ 87, 22, 38 ], [ 87, 23, 56 ], [ 87, 24, 26 ], [ 87, 25, 46 ], [ 87, 26, 99 ], [ 87, 27, 103 ], [ 87, 28, 20 ], [ 87, 29, 4 ], [ 87, 30, 26 ], [ 87, 31, 46 ], [ 87, 32, 52 ], [ 87, 33, 16 ], [ 87, 34, 67 ], [ 87, 35, 115 ], [ 87, 36, 99 ], [ 87, 37, 103 ], [ 87, 38, 52 ], [ 87, 39, 16 ], [ 87, 40, 56 ], [ 87, 41, 38 ], [ 87, 42, 20 ], [ 87, 43, 4 ], [ 87, 44, 67 ], [ 87, 45, 115 ], [ 87, 46, 56 ], [ 87, 47, 38 ], [ 87, 48, 60 ], [ 87, 49, 64 ], [ 87, 50, 103 ], [ 87, 51, 99 ], [ 87, 52, 4 ], [ 87, 53, 20 ], [ 87, 54, 60 ], [ 87, 55, 64 ], [ 87, 56, 42 ], [ 87, 57, 23 ], [ 87, 58, 29 ], [ 87, 59, 100 ], [ 87, 60, 103 ], [ 87, 61, 99 ], [ 87, 62, 42 ], [ 87, 63, 23 ], [ 87, 64, 38 ], [ 87, 65, 56 ], [ 87, 66, 4 ], [ 87, 67, 20 ], [ 87, 68, 29 ], [ 87, 69, 100 ], [ 87, 70, 38 ], [ 87, 71, 56 ], [ 87, 72, 64 ], [ 87, 73, 60 ], [ 87, 74, 46 ], [ 87, 75, 26 ], [ 87, 76, 20 ], [ 87, 77, 4 ], [ 87, 78, 64 ], [ 87, 79, 60 ], [ 87, 80, 104 ], [ 87, 81, 0 ], [ 87, 82, 100 ], [ 87, 83, 29 ], [ 87, 84, 46 ], [ 87, 85, 26 ], [ 87, 86, 104 ], [ 87, 87, 0 ], [ 87, 88, 115 ], [ 87, 89, 67 ], [ 87, 90, 20 ], [ 87, 91, 4 ], [ 87, 92, 100 ], [ 87, 93, 29 ], [ 87, 94, 115 ], [ 87, 95, 67 ], [ 87, 96, 60 ], [ 87, 97, 64 ], [ 87, 98, 26 ], [ 87, 99, 46 ], [ 87, 100, 99 ], [ 87, 101, 103 ], [ 87, 102, 60 ], [ 87, 103, 64 ], [ 87, 104, 0 ], [ 87, 105, 104 ], [ 87, 106, 23 ], [ 87, 107, 42 ], [ 87, 108, 26 ], [ 87, 109, 46 ], [ 87, 110, 0 ], [ 87, 111, 104 ], [ 87, 112, 16 ], [ 87, 113, 52 ], [ 87, 114, 99 ], [ 87, 115, 103 ], [ 87, 116, 23 ], [ 87, 117, 42 ], [ 87, 118, 16 ], [ 87, 119, 52 ], [ 88, 0, 0 ], [ 88, 1, 25 ], [ 88, 2, 107 ], [ 88, 3, 42 ], [ 88, 4, 100 ], [ 88, 5, 19 ], [ 88, 6, 19 ], [ 88, 7, 42 ], [ 88, 8, 63 ], [ 88, 9, 25 ], [ 88, 10, 60 ], [ 88, 11, 0 ], [ 88, 12, 100 ], [ 88, 13, 25 ], [ 88, 14, 60 ], [ 88, 15, 42 ], [ 88, 16, 63 ], [ 88, 17, 107 ], [ 88, 18, 107 ], [ 88, 19, 0 ], [ 88, 20, 63 ], [ 88, 21, 19 ], [ 88, 22, 60 ], [ 88, 23, 100 ], [ 88, 24, 26 ], [ 88, 25, 3 ], [ 88, 26, 45 ], [ 88, 27, 103 ], [ 88, 28, 20 ], [ 88, 29, 96 ], [ 88, 30, 96 ], [ 88, 31, 103 ], [ 88, 32, 63 ], [ 88, 33, 3 ], [ 88, 34, 60 ], [ 88, 35, 26 ], [ 88, 36, 20 ], [ 88, 37, 3 ], [ 88, 38, 60 ], [ 88, 39, 103 ], [ 88, 40, 63 ], [ 88, 41, 45 ], [ 88, 42, 45 ], [ 88, 43, 26 ], [ 88, 44, 63 ], [ 88, 45, 96 ], [ 88, 46, 60 ], [ 88, 47, 20 ], [ 88, 48, 37 ], [ 88, 49, 12 ], [ 88, 50, 45 ], [ 88, 51, 48 ], [ 88, 52, 20 ], [ 88, 53, 55 ], [ 88, 54, 55 ], [ 88, 55, 48 ], [ 88, 56, 107 ], [ 88, 57, 12 ], [ 88, 58, 100 ], [ 88, 59, 37 ], [ 88, 60, 20 ], [ 88, 61, 12 ], [ 88, 62, 100 ], [ 88, 63, 48 ], [ 88, 64, 107 ], [ 88, 65, 45 ], [ 88, 66, 45 ], [ 88, 67, 37 ], [ 88, 68, 107 ], [ 88, 69, 55 ], [ 88, 70, 100 ], [ 88, 71, 20 ], [ 88, 72, 37 ], [ 88, 73, 119 ], [ 88, 74, 26 ], [ 88, 75, 71 ], [ 88, 76, 96 ], [ 88, 77, 55 ], [ 88, 78, 55 ], [ 88, 79, 71 ], [ 88, 80, 0 ], [ 88, 81, 119 ], [ 88, 82, 19 ], [ 88, 83, 37 ], [ 88, 84, 96 ], [ 88, 85, 119 ], [ 88, 86, 19 ], [ 88, 87, 71 ], [ 88, 88, 0 ], [ 88, 89, 26 ], [ 88, 90, 26 ], [ 88, 91, 37 ], [ 88, 92, 0 ], [ 88, 93, 55 ], [ 88, 94, 19 ], [ 88, 95, 96 ], [ 88, 96, 12 ], [ 88, 97, 119 ], [ 88, 98, 3 ], [ 88, 99, 71 ], [ 88, 100, 103 ], [ 88, 101, 48 ], [ 88, 102, 48 ], [ 88, 103, 71 ], [ 88, 104, 25 ], [ 88, 105, 119 ], [ 88, 106, 42 ], [ 88, 107, 12 ], [ 88, 108, 103 ], [ 88, 109, 119 ], [ 88, 110, 42 ], [ 88, 111, 71 ], [ 88, 112, 25 ], [ 88, 113, 3 ], [ 88, 114, 3 ], [ 88, 115, 12 ], [ 88, 116, 25 ], [ 88, 117, 48 ], [ 88, 118, 42 ], [ 88, 119, 103 ], [ 89, 0, 0 ], [ 89, 1, 25 ], [ 89, 2, 23 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 5, 103 ], [ 89, 6, 19 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 9, 55 ], [ 89, 10, 38 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 13, 104 ], [ 89, 14, 12 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 17, 51 ], [ 89, 18, 26 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 21, 67 ], [ 89, 22, 116 ], [ 89, 23, 56 ], [ 89, 24, 26 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 27, 19 ], [ 89, 28, 104 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 31, 103 ], [ 89, 32, 51 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 35, 12 ], [ 89, 36, 25 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 39, 116 ], [ 89, 40, 67 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 43, 23 ], [ 89, 44, 55 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 47, 38 ], [ 89, 48, 37 ], [ 89, 49, 12 ], [ 89, 50, 67 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 53, 25 ], [ 89, 54, 55 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 57, 26 ], [ 89, 58, 116 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 61, 38 ], [ 89, 62, 103 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 65, 23 ], [ 89, 66, 19 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 69, 51 ], [ 89, 70, 104 ], [ 89, 71, 46 ], [ 89, 72, 116 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 75, 23 ], [ 89, 76, 55 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 79, 51 ], [ 89, 80, 38 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 83, 19 ], [ 89, 84, 104 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 87, 67 ], [ 89, 88, 26 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 91, 12 ], [ 89, 92, 25 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 95, 103 ], [ 89, 96, 115 ], [ 89, 97, 38 ], [ 89, 98, 51 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 101, 103 ], [ 89, 102, 67 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 105, 104 ], [ 89, 106, 12 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 109, 116 ], [ 89, 110, 23 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 113, 25 ], [ 89, 114, 26 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 117, 55 ], [ 89, 118, 19 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 1, 7 ], [ 90, 2, 26 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 5, 59 ], [ 90, 6, 111 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 9, 25 ], [ 90, 10, 64 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 13, 96 ], [ 90, 14, 15 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 17, 56 ], [ 90, 18, 107 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 21, 11 ], [ 90, 22, 38 ], [ 90, 23, 33 ], [ 90, 24, 25 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 27, 56 ], [ 90, 28, 11 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 31, 38 ], [ 90, 32, 107 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 35, 7 ], [ 90, 36, 64 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 39, 26 ], [ 90, 40, 111 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 43, 15 ], [ 90, 44, 96 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 47, 59 ], [ 90, 48, 34 ], [ 90, 49, 59 ], [ 90, 50, 96 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 53, 38 ], [ 90, 54, 56 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 57, 111 ], [ 90, 58, 15 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 61, 107 ], [ 90, 62, 11 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 65, 25 ], [ 90, 66, 26 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 69, 64 ], [ 90, 70, 7 ], [ 90, 71, 48 ], [ 90, 72, 7 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 75, 64 ], [ 90, 76, 107 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 79, 11 ], [ 90, 80, 38 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 83, 96 ], [ 90, 84, 59 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 87, 15 ], [ 90, 88, 26 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 91, 111 ], [ 90, 92, 25 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 95, 56 ], [ 90, 96, 0 ], [ 90, 97, 26 ], [ 90, 98, 111 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 101, 15 ], [ 90, 102, 25 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 105, 107 ], [ 90, 106, 64 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 109, 96 ], [ 90, 110, 56 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 113, 11 ], [ 90, 114, 7 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 117, 38 ], [ 90, 118, 59 ], [ 90, 119, 33 ], [ 91, 0, 0 ], [ 91, 1, 7 ], [ 91, 2, 56 ], [ 91, 3, 52 ], [ 91, 4, 33 ], [ 91, 5, 29 ], [ 91, 6, 111 ], [ 91, 7, 104 ], [ 91, 8, 63 ], [ 91, 9, 52 ], [ 91, 10, 38 ], [ 91, 11, 29 ], [ 91, 12, 100 ], [ 91, 13, 104 ], [ 91, 14, 16 ], [ 91, 15, 7 ], [ 91, 16, 38 ], [ 91, 17, 33 ], [ 91, 18, 100 ], [ 91, 19, 111 ], [ 91, 20, 16 ], [ 91, 21, 0 ], [ 91, 22, 63 ], [ 91, 23, 56 ], [ 91, 24, 25 ], [ 91, 25, 48 ], [ 91, 26, 34 ], [ 91, 27, 8 ], [ 91, 28, 59 ], [ 91, 29, 3 ], [ 91, 30, 63 ], [ 91, 31, 38 ], [ 91, 32, 111 ], [ 91, 33, 8 ], [ 91, 34, 104 ], [ 91, 35, 3 ], [ 91, 36, 16 ], [ 91, 37, 38 ], [ 91, 38, 100 ], [ 91, 39, 48 ], [ 91, 40, 104 ], [ 91, 41, 59 ], [ 91, 42, 16 ], [ 91, 43, 63 ], [ 91, 44, 100 ], [ 91, 45, 25 ], [ 91, 46, 111 ], [ 91, 47, 34 ], [ 91, 48, 34 ], [ 91, 49, 59 ], [ 91, 50, 25 ], [ 91, 51, 119 ], [ 91, 52, 48 ], [ 91, 53, 116 ], [ 91, 54, 56 ], [ 91, 55, 33 ], [ 91, 56, 0 ], [ 91, 57, 119 ], [ 91, 58, 7 ], [ 91, 59, 116 ], [ 91, 60, 100 ], [ 91, 61, 33 ], [ 91, 62, 16 ], [ 91, 63, 59 ], [ 91, 64, 7 ], [ 91, 65, 48 ], [ 91, 66, 100 ], [ 91, 67, 56 ], [ 91, 68, 16 ], [ 91, 69, 34 ], [ 91, 70, 0 ], [ 91, 71, 25 ], [ 91, 72, 25 ], [ 91, 73, 3 ], [ 91, 74, 34 ], [ 91, 75, 116 ], [ 91, 76, 8 ], [ 91, 77, 119 ], [ 91, 78, 0 ], [ 91, 79, 29 ], [ 91, 80, 56 ], [ 91, 81, 116 ], [ 91, 82, 52 ], [ 91, 83, 119 ], [ 91, 84, 111 ], [ 91, 85, 29 ], [ 91, 86, 63 ], [ 91, 87, 3 ], [ 91, 88, 52 ], [ 91, 89, 8 ], [ 91, 90, 111 ], [ 91, 91, 0 ], [ 91, 92, 63 ], [ 91, 93, 25 ], [ 91, 94, 56 ], [ 91, 95, 34 ], [ 91, 96, 48 ], [ 91, 97, 8 ], [ 91, 98, 59 ], [ 91, 99, 119 ], [ 91, 100, 3 ], [ 91, 101, 116 ], [ 91, 102, 7 ], [ 91, 103, 52 ], [ 91, 104, 33 ], [ 91, 105, 119 ], [ 91, 106, 29 ], [ 91, 107, 116 ], [ 91, 108, 104 ], [ 91, 109, 52 ], [ 91, 110, 38 ], [ 91, 111, 8 ], [ 91, 112, 29 ], [ 91, 113, 3 ], [ 91, 114, 104 ], [ 91, 115, 7 ], [ 91, 116, 38 ], [ 91, 117, 48 ], [ 91, 118, 33 ], [ 91, 119, 59 ], [ 92, 0, 0 ], [ 92, 1, 55 ], [ 92, 2, 26 ], [ 92, 3, 52 ], [ 92, 4, 33 ], [ 92, 5, 11 ], [ 92, 6, 11 ], [ 92, 7, 52 ], [ 92, 8, 115 ], [ 92, 9, 55 ], [ 92, 10, 119 ], [ 92, 11, 0 ], [ 92, 12, 33 ], [ 92, 13, 55 ], [ 92, 14, 119 ], [ 92, 15, 52 ], [ 92, 16, 115 ], [ 92, 17, 26 ], [ 92, 18, 26 ], [ 92, 19, 0 ], [ 92, 20, 115 ], [ 92, 21, 11 ], [ 92, 22, 119 ], [ 92, 23, 33 ], [ 92, 24, 25 ], [ 92, 25, 30 ], [ 92, 26, 4 ], [ 92, 27, 8 ], [ 92, 28, 59 ], [ 92, 29, 51 ], [ 92, 30, 51 ], [ 92, 31, 8 ], [ 92, 32, 115 ], [ 92, 33, 30 ], [ 92, 34, 119 ], [ 92, 35, 25 ], [ 92, 36, 59 ], [ 92, 37, 30 ], [ 92, 38, 119 ], [ 92, 39, 8 ], [ 92, 40, 115 ], [ 92, 41, 4 ], [ 92, 42, 4 ], [ 92, 43, 25 ], [ 92, 44, 115 ], [ 92, 45, 51 ], [ 92, 46, 119 ], [ 92, 47, 59 ], [ 92, 48, 108 ], [ 92, 49, 99 ], [ 92, 50, 4 ], [ 92, 51, 15 ], [ 92, 52, 59 ], [ 92, 53, 60 ], [ 92, 54, 60 ], [ 92, 55, 15 ], [ 92, 56, 26 ], [ 92, 57, 99 ], [ 92, 58, 33 ], [ 92, 59, 108 ], [ 92, 60, 59 ], [ 92, 61, 99 ], [ 92, 62, 33 ], [ 92, 63, 15 ], [ 92, 64, 26 ], [ 92, 65, 4 ], [ 92, 66, 4 ], [ 92, 67, 108 ], [ 92, 68, 26 ], [ 92, 69, 60 ], [ 92, 70, 33 ], [ 92, 71, 59 ], [ 92, 72, 108 ], [ 92, 73, 107 ], [ 92, 74, 25 ], [ 92, 75, 41 ], [ 92, 76, 51 ], [ 92, 77, 60 ], [ 92, 78, 60 ], [ 92, 79, 41 ], [ 92, 80, 0 ], [ 92, 81, 107 ], [ 92, 82, 11 ], [ 92, 83, 108 ], [ 92, 84, 51 ], [ 92, 85, 107 ], [ 92, 86, 11 ], [ 92, 87, 41 ], [ 92, 88, 0 ], [ 92, 89, 25 ], [ 92, 90, 25 ], [ 92, 91, 108 ], [ 92, 92, 0 ], [ 92, 93, 60 ], [ 92, 94, 11 ], [ 92, 95, 51 ], [ 92, 96, 99 ], [ 92, 97, 107 ], [ 92, 98, 30 ], [ 92, 99, 41 ], [ 92, 100, 8 ], [ 92, 101, 15 ], [ 92, 102, 15 ], [ 92, 103, 41 ], [ 92, 104, 55 ], [ 92, 105, 107 ], [ 92, 106, 52 ], [ 92, 107, 99 ], [ 92, 108, 8 ], [ 92, 109, 107 ], [ 92, 110, 52 ], [ 92, 111, 41 ], [ 92, 112, 55 ], [ 92, 113, 30 ], [ 92, 114, 30 ], [ 92, 115, 99 ], [ 92, 116, 55 ], [ 92, 117, 15 ], [ 92, 118, 52 ], [ 92, 119, 8 ], [ 93, 0, 0 ], [ 93, 1, 55 ], [ 93, 2, 8 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 5, 29 ], [ 93, 6, 11 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 9, 104 ], [ 93, 10, 60 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 13, 25 ], [ 93, 14, 16 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 17, 112 ], [ 93, 18, 56 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 21, 99 ], [ 93, 22, 37 ], [ 93, 23, 100 ], [ 93, 24, 25 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 27, 56 ], [ 93, 28, 11 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 31, 8 ], [ 93, 32, 99 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 35, 37 ], [ 93, 36, 29 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 39, 60 ], [ 93, 40, 104 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 43, 55 ], [ 93, 44, 112 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 47, 16 ], [ 93, 48, 108 ], [ 93, 49, 99 ], [ 93, 50, 55 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 53, 16 ], [ 93, 54, 60 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 57, 112 ], [ 93, 58, 25 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 61, 11 ], [ 93, 62, 37 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 65, 56 ], [ 93, 66, 104 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 69, 8 ], [ 93, 70, 29 ], [ 93, 71, 3 ], [ 93, 72, 104 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 75, 37 ], [ 93, 76, 8 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 79, 16 ], [ 93, 80, 56 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 83, 99 ], [ 93, 84, 112 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 87, 29 ], [ 93, 88, 55 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 91, 25 ], [ 93, 92, 60 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 95, 11 ], [ 93, 96, 103 ], [ 93, 97, 112 ], [ 93, 98, 29 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 101, 60 ], [ 93, 102, 37 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 105, 104 ], [ 93, 106, 11 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 109, 56 ], [ 93, 110, 16 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 113, 25 ], [ 93, 114, 99 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 117, 55 ], [ 93, 118, 8 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 1, 25 ], [ 94, 2, 56 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 5, 11 ], [ 94, 6, 19 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 9, 34 ], [ 94, 10, 115 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 13, 42 ], [ 94, 14, 119 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 17, 51 ], [ 94, 18, 71 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 21, 0 ], [ 94, 22, 116 ], [ 94, 23, 56 ], [ 94, 24, 25 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 27, 56 ], [ 94, 28, 11 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 31, 78 ], [ 94, 32, 116 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 35, 51 ], [ 94, 36, 89 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 39, 0 ], [ 94, 40, 115 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 43, 73 ], [ 94, 44, 119 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 47, 34 ], [ 94, 48, 42 ], [ 94, 49, 19 ], [ 94, 50, 34 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 53, 115 ], [ 94, 54, 78 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 57, 116 ], [ 94, 58, 51 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 61, 73 ], [ 94, 62, 71 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 65, 11 ], [ 94, 66, 89 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 69, 42 ], [ 94, 70, 56 ], [ 94, 71, 34 ], [ 94, 72, 42 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 75, 119 ], [ 94, 76, 51 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 79, 89 ], [ 94, 80, 0 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 83, 115 ], [ 94, 84, 73 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 87, 71 ], [ 94, 88, 11 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 91, 78 ], [ 94, 92, 19 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 95, 25 ], [ 94, 96, 19 ], [ 94, 97, 71 ], [ 94, 98, 0 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 101, 116 ], [ 94, 102, 73 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 105, 119 ], [ 94, 106, 34 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 109, 89 ], [ 94, 110, 42 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 113, 56 ], [ 94, 114, 78 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 117, 19 ], [ 94, 118, 25 ], [ 94, 119, 0 ], [ 95, 0, 0 ], [ 95, 1, 25 ], [ 95, 2, 8 ], [ 95, 3, 52 ], [ 95, 4, 33 ], [ 95, 5, 59 ], [ 95, 6, 19 ], [ 95, 7, 42 ], [ 95, 8, 16 ], [ 95, 9, 108 ], [ 95, 10, 41 ], [ 95, 11, 111 ], [ 95, 12, 23 ], [ 95, 13, 68 ], [ 95, 14, 15 ], [ 95, 15, 104 ], [ 95, 16, 63 ], [ 95, 17, 107 ], [ 95, 18, 46 ], [ 95, 19, 67 ], [ 95, 20, 38 ], [ 95, 21, 99 ], [ 95, 22, 60 ], [ 95, 23, 100 ], [ 95, 24, 25 ], [ 95, 25, 0 ], [ 95, 26, 52 ], [ 95, 27, 8 ], [ 95, 28, 59 ], [ 95, 29, 33 ], [ 95, 30, 73 ], [ 95, 31, 78 ], [ 95, 32, 100 ], [ 95, 33, 60 ], [ 95, 34, 107 ], [ 95, 35, 63 ], [ 95, 36, 77 ], [ 95, 37, 86 ], [ 95, 38, 99 ], [ 95, 39, 38 ], [ 95, 40, 111 ], [ 95, 41, 41 ], [ 95, 42, 82 ], [ 95, 43, 85 ], [ 95, 44, 104 ], [ 95, 45, 15 ], [ 95, 46, 108 ], [ 95, 47, 16 ], [ 95, 48, 42 ], [ 95, 49, 19 ], [ 95, 50, 108 ], [ 95, 51, 16 ], [ 95, 52, 111 ], [ 95, 53, 41 ], [ 95, 54, 78 ], [ 95, 55, 73 ], [ 95, 56, 60 ], [ 95, 57, 100 ], [ 95, 58, 63 ], [ 95, 59, 107 ], [ 95, 60, 85 ], [ 95, 61, 82 ], [ 95, 62, 67 ], [ 95, 63, 46 ], [ 95, 64, 59 ], [ 95, 65, 33 ], [ 95, 66, 86 ], [ 95, 67, 77 ], [ 95, 68, 68 ], [ 95, 69, 23 ], [ 95, 70, 52 ], [ 95, 71, 8 ], [ 95, 72, 68 ], [ 95, 73, 23 ], [ 95, 74, 104 ], [ 95, 75, 15 ], [ 95, 76, 107 ], [ 95, 77, 63 ], [ 95, 78, 86 ], [ 95, 79, 77 ], [ 95, 80, 38 ], [ 95, 81, 99 ], [ 95, 82, 41 ], [ 95, 83, 111 ], [ 95, 84, 82 ], [ 95, 85, 85 ], [ 95, 86, 46 ], [ 95, 87, 67 ], [ 95, 88, 33 ], [ 95, 89, 59 ], [ 95, 90, 78 ], [ 95, 91, 73 ], [ 95, 92, 42 ], [ 95, 93, 19 ], [ 95, 94, 25 ], [ 95, 95, 0 ], [ 95, 96, 67 ], [ 95, 97, 46 ], [ 95, 98, 99 ], [ 95, 99, 38 ], [ 95, 100, 100 ], [ 95, 101, 60 ], [ 95, 102, 85 ], [ 95, 103, 82 ], [ 95, 104, 15 ], [ 95, 105, 104 ], [ 95, 106, 16 ], [ 95, 107, 108 ], [ 95, 108, 77 ], [ 95, 109, 86 ], [ 95, 110, 23 ], [ 95, 111, 68 ], [ 95, 112, 8 ], [ 95, 113, 52 ], [ 95, 114, 73 ], [ 95, 115, 78 ], [ 95, 116, 19 ], [ 95, 117, 42 ], [ 95, 118, 0 ], [ 95, 119, 25 ], [ 96, 0, 0 ], [ 96, 1, 3 ], [ 96, 2, 8 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 5, 16 ], [ 96, 6, 30 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 9, 45 ], [ 96, 10, 33 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 13, 64 ], [ 96, 14, 60 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 17, 67 ], [ 96, 18, 81 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 21, 94 ], [ 96, 22, 82 ], [ 96, 23, 90 ], [ 96, 24, 45 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 27, 67 ], [ 96, 28, 94 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 31, 82 ], [ 96, 32, 81 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 35, 3 ], [ 96, 36, 33 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 39, 8 ], [ 96, 40, 30 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 43, 60 ], [ 96, 44, 64 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 47, 16 ], [ 96, 48, 11 ], [ 96, 49, 16 ], [ 96, 50, 64 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 53, 82 ], [ 96, 54, 67 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 57, 30 ], [ 96, 58, 60 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 61, 81 ], [ 96, 62, 94 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 65, 45 ], [ 96, 66, 8 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 69, 33 ], [ 96, 70, 3 ], [ 96, 71, 46 ], [ 96, 72, 3 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 75, 33 ], [ 96, 76, 81 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 79, 94 ], [ 96, 80, 82 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 83, 64 ], [ 96, 84, 16 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 87, 60 ], [ 96, 88, 8 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 91, 30 ], [ 96, 92, 45 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 95, 67 ], [ 96, 96, 0 ], [ 96, 97, 8 ], [ 96, 98, 30 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 101, 60 ], [ 96, 102, 45 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 105, 81 ], [ 96, 106, 33 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 109, 64 ], [ 96, 110, 67 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 113, 94 ], [ 96, 114, 3 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 117, 82 ], [ 96, 118, 16 ], [ 96, 119, 90 ], [ 97, 0, 0 ], [ 97, 1, 3 ], [ 97, 2, 12 ], [ 97, 3, 16 ], [ 97, 4, 7 ], [ 97, 5, 11 ], [ 97, 6, 30 ], [ 97, 7, 37 ], [ 97, 8, 26 ], [ 97, 9, 46 ], [ 97, 10, 25 ], [ 97, 11, 45 ], [ 97, 12, 86 ], [ 97, 13, 82 ], [ 97, 14, 74 ], [ 97, 15, 90 ], [ 97, 16, 77 ], [ 97, 17, 93 ], [ 97, 18, 63 ], [ 97, 19, 59 ], [ 97, 20, 51 ], [ 97, 21, 67 ], [ 97, 22, 52 ], [ 97, 23, 68 ], [ 97, 24, 45 ], [ 97, 25, 46 ], [ 97, 26, 93 ], [ 97, 27, 90 ], [ 97, 28, 68 ], [ 97, 29, 67 ], [ 97, 30, 59 ], [ 97, 31, 82 ], [ 97, 32, 107 ], [ 97, 33, 3 ], [ 97, 34, 104 ], [ 97, 35, 0 ], [ 97, 36, 63 ], [ 97, 37, 37 ], [ 97, 38, 119 ], [ 97, 39, 16 ], [ 97, 40, 115 ], [ 97, 41, 12 ], [ 97, 42, 86 ], [ 97, 43, 30 ], [ 97, 44, 112 ], [ 97, 45, 11 ], [ 97, 46, 108 ], [ 97, 47, 7 ], [ 97, 48, 11 ], [ 97, 49, 16 ], [ 97, 50, 77 ], [ 97, 51, 82 ], [ 97, 52, 52 ], [ 97, 53, 59 ], [ 97, 54, 67 ], [ 97, 55, 90 ], [ 97, 56, 115 ], [ 97, 57, 37 ], [ 97, 58, 108 ], [ 97, 59, 30 ], [ 97, 60, 51 ], [ 97, 61, 3 ], [ 97, 62, 112 ], [ 97, 63, 46 ], [ 97, 64, 107 ], [ 97, 65, 26 ], [ 97, 66, 74 ], [ 97, 67, 0 ], [ 97, 68, 119 ], [ 97, 69, 45 ], [ 97, 70, 104 ], [ 97, 71, 25 ], [ 97, 72, 7 ], [ 97, 73, 3 ], [ 97, 74, 25 ], [ 97, 75, 37 ], [ 97, 76, 51 ], [ 97, 77, 63 ], [ 97, 78, 68 ], [ 97, 79, 46 ], [ 97, 80, 104 ], [ 97, 81, 82 ], [ 97, 82, 112 ], [ 97, 83, 86 ], [ 97, 84, 52 ], [ 97, 85, 16 ], [ 97, 86, 108 ], [ 97, 87, 90 ], [ 97, 88, 119 ], [ 97, 89, 74 ], [ 97, 90, 26 ], [ 97, 91, 12 ], [ 97, 92, 107 ], [ 97, 93, 93 ], [ 97, 94, 115 ], [ 97, 95, 77 ], [ 97, 96, 12 ], [ 97, 97, 0 ], [ 97, 98, 26 ], [ 97, 99, 30 ], [ 97, 100, 74 ], [ 97, 101, 86 ], [ 97, 102, 93 ], [ 97, 103, 45 ], [ 97, 104, 107 ], [ 97, 105, 59 ], [ 97, 106, 119 ], [ 97, 107, 63 ], [ 97, 108, 77 ], [ 97, 109, 11 ], [ 97, 110, 115 ], [ 97, 111, 67 ], [ 97, 112, 112 ], [ 97, 113, 51 ], [ 97, 114, 25 ], [ 97, 115, 7 ], [ 97, 116, 104 ], [ 97, 117, 68 ], [ 97, 118, 108 ], [ 97, 119, 52 ], [ 98, 0, 0 ], [ 98, 1, 15 ], [ 98, 2, 8 ], [ 98, 3, 16 ], [ 98, 4, 7 ], [ 98, 5, 4 ], [ 98, 6, 48 ], [ 98, 7, 51 ], [ 98, 8, 60 ], [ 98, 9, 71 ], [ 98, 10, 55 ], [ 98, 11, 68 ], [ 98, 12, 26 ], [ 98, 13, 29 ], [ 98, 14, 38 ], [ 98, 15, 45 ], [ 98, 16, 34 ], [ 98, 17, 42 ], [ 98, 18, 73 ], [ 98, 19, 77 ], [ 98, 20, 81 ], [ 98, 21, 94 ], [ 98, 22, 89 ], [ 98, 23, 90 ], [ 98, 24, 45 ], [ 98, 25, 94 ], [ 98, 26, 71 ], [ 98, 27, 90 ], [ 98, 28, 68 ], [ 98, 29, 42 ], [ 98, 30, 111 ], [ 98, 31, 112 ], [ 98, 32, 89 ], [ 98, 33, 8 ], [ 98, 34, 34 ], [ 98, 35, 7 ], [ 98, 36, 107 ], [ 98, 37, 103 ], [ 98, 38, 81 ], [ 98, 39, 0 ], [ 98, 40, 55 ], [ 98, 41, 4 ], [ 98, 42, 116 ], [ 98, 43, 115 ], [ 98, 44, 38 ], [ 98, 45, 15 ], [ 98, 46, 60 ], [ 98, 47, 16 ], [ 98, 48, 29 ], [ 98, 49, 77 ], [ 98, 50, 16 ], [ 98, 51, 89 ], [ 98, 52, 4 ], [ 98, 53, 34 ], [ 98, 54, 103 ], [ 98, 55, 115 ], [ 98, 56, 90 ], [ 98, 57, 60 ], [ 98, 58, 42 ], [ 98, 59, 55 ], [ 98, 60, 116 ], [ 98, 61, 111 ], [ 98, 62, 73 ], [ 98, 63, 48 ], [ 98, 64, 7 ], [ 98, 65, 68 ], [ 98, 66, 107 ], [ 98, 67, 112 ], [ 98, 68, 26 ], [ 98, 69, 51 ], [ 98, 70, 8 ], [ 98, 71, 71 ], [ 98, 72, 51 ], [ 98, 73, 73 ], [ 98, 74, 15 ], [ 98, 75, 81 ], [ 98, 76, 7 ], [ 98, 77, 55 ], [ 98, 78, 112 ], [ 98, 79, 116 ], [ 98, 80, 94 ], [ 98, 81, 38 ], [ 98, 82, 68 ], [ 98, 83, 34 ], [ 98, 84, 115 ], [ 98, 85, 107 ], [ 98, 86, 77 ], [ 98, 87, 26 ], [ 98, 88, 4 ], [ 98, 89, 42 ], [ 98, 90, 111 ], [ 98, 91, 103 ], [ 98, 92, 48 ], [ 98, 93, 29 ], [ 98, 94, 0 ], [ 98, 95, 45 ], [ 98, 96, 48 ], [ 98, 97, 26 ], [ 98, 98, 0 ], [ 98, 99, 38 ], [ 98, 100, 8 ], [ 98, 101, 60 ], [ 98, 102, 111 ], [ 98, 103, 107 ], [ 98, 104, 45 ], [ 98, 105, 81 ], [ 98, 106, 71 ], [ 98, 107, 89 ], [ 98, 108, 103 ], [ 98, 109, 116 ], [ 98, 110, 29 ], [ 98, 111, 73 ], [ 98, 112, 16 ], [ 98, 113, 90 ], [ 98, 114, 112 ], [ 98, 115, 115 ], [ 98, 116, 51 ], [ 98, 117, 77 ], [ 98, 118, 15 ], [ 98, 119, 94 ], [ 99, 0, 0 ], [ 99, 1, 15 ], [ 99, 2, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 5, 11 ], [ 99, 6, 48 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 9, 67 ], [ 99, 10, 51 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 13, 77 ], [ 99, 14, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 17, 94 ], [ 99, 18, 25 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 21, 45 ], [ 99, 22, 29 ], [ 99, 23, 45 ], [ 99, 24, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 27, 67 ], [ 99, 28, 94 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 31, 112 ], [ 99, 32, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 35, 11 ], [ 99, 36, 119 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 39, 15 ], [ 99, 40, 115 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 43, 103 ], [ 99, 44, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 47, 0 ], [ 99, 48, 29 ], [ 99, 49, 77 ], [ 99, 50, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 53, 11 ], [ 99, 54, 103 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 57, 67 ], [ 99, 58, 115 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 61, 112 ], [ 99, 62, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 65, 51 ], [ 99, 66, 96 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 69, 48 ], [ 99, 70, 111 ], [ 99, 71, 48 ], [ 99, 72, 25 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 75, 15 ], [ 99, 76, 51 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 79, 112 ], [ 99, 80, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 83, 94 ], [ 99, 84, 96 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 87, 77 ], [ 99, 88, 115 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 91, 119 ], [ 99, 92, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 95, 74 ], [ 99, 96, 74 ], [ 99, 97, 48 ], [ 99, 98, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 101, 0 ], [ 99, 102, 119 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 105, 45 ], [ 99, 106, 111 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 109, 103 ], [ 99, 110, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 113, 29 ], [ 99, 114, 96 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 117, 25 ], [ 99, 118, 104 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 1, 7 ], [ 100, 2, 12 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 5, 4 ], [ 100, 6, 86 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 9, 94 ], [ 100, 10, 85 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 13, 41 ], [ 100, 14, 38 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 17, 45 ], [ 100, 18, 55 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 21, 67 ], [ 100, 22, 59 ], [ 100, 23, 68 ], [ 100, 24, 45 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 27, 67 ], [ 100, 28, 94 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 31, 38 ], [ 100, 32, 41 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 35, 12 ], [ 100, 36, 59 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 39, 4 ], [ 100, 40, 55 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 43, 85 ], [ 100, 44, 86 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 47, 7 ], [ 100, 48, 34 ], [ 100, 49, 59 ], [ 100, 50, 4 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 53, 41 ], [ 100, 54, 55 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 57, 85 ], [ 100, 58, 67 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 61, 12 ], [ 100, 62, 7 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 65, 86 ], [ 100, 66, 45 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 69, 94 ], [ 100, 70, 38 ], [ 100, 71, 81 ], [ 100, 72, 85 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 75, 55 ], [ 100, 76, 7 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 79, 86 ], [ 100, 80, 94 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 83, 38 ], [ 100, 84, 67 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 87, 45 ], [ 100, 88, 59 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 91, 4 ], [ 100, 92, 12 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 95, 41 ], [ 100, 96, 78 ], [ 100, 97, 38 ], [ 100, 98, 12 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 101, 86 ], [ 100, 102, 41 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 105, 59 ], [ 100, 106, 45 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 109, 7 ], [ 100, 110, 4 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 113, 55 ], [ 100, 114, 94 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 117, 67 ], [ 100, 118, 85 ], [ 100, 119, 64 ], [ 101, 0, 0 ], [ 101, 1, 7 ], [ 101, 2, 0 ], [ 101, 3, 16 ], [ 101, 4, 7 ], [ 101, 5, 16 ], [ 101, 6, 86 ], [ 101, 7, 81 ], [ 101, 8, 86 ], [ 101, 9, 90 ], [ 101, 10, 81 ], [ 101, 11, 90 ], [ 101, 12, 60 ], [ 101, 13, 59 ], [ 101, 14, 60 ], [ 101, 15, 68 ], [ 101, 16, 59 ], [ 101, 17, 68 ], [ 101, 18, 37 ], [ 101, 19, 34 ], [ 101, 20, 37 ], [ 101, 21, 45 ], [ 101, 22, 34 ], [ 101, 23, 45 ], [ 101, 24, 45 ], [ 101, 25, 68 ], [ 101, 26, 45 ], [ 101, 27, 90 ], [ 101, 28, 68 ], [ 101, 29, 90 ], [ 101, 30, 63 ], [ 101, 31, 38 ], [ 101, 32, 63 ], [ 101, 33, 16 ], [ 101, 34, 38 ], [ 101, 35, 16 ], [ 101, 36, 89 ], [ 101, 37, 30 ], [ 101, 38, 89 ], [ 101, 39, 7 ], [ 101, 40, 30 ], [ 101, 41, 7 ], [ 101, 42, 82 ], [ 101, 43, 55 ], [ 101, 44, 82 ], [ 101, 45, 0 ], [ 101, 46, 55 ], [ 101, 47, 0 ], [ 101, 48, 34 ], [ 101, 49, 59 ], [ 101, 50, 34 ], [ 101, 51, 16 ], [ 101, 52, 59 ], [ 101, 53, 16 ], [ 101, 54, 55 ], [ 101, 55, 30 ], [ 101, 56, 55 ], [ 101, 57, 90 ], [ 101, 58, 30 ], [ 101, 59, 90 ], [ 101, 60, 20 ], [ 101, 61, 38 ], [ 101, 62, 20 ], [ 101, 63, 81 ], [ 101, 64, 38 ], [ 101, 65, 81 ], [ 101, 66, 19 ], [ 101, 67, 63 ], [ 101, 68, 19 ], [ 101, 69, 86 ], [ 101, 70, 63 ], [ 101, 71, 86 ], [ 101, 72, 37 ], [ 101, 73, 81 ], [ 101, 74, 37 ], [ 101, 75, 7 ], [ 101, 76, 81 ], [ 101, 77, 7 ], [ 101, 78, 82 ], [ 101, 79, 38 ], [ 101, 80, 82 ], [ 101, 81, 68 ], [ 101, 82, 38 ], [ 101, 83, 68 ], [ 101, 84, 19 ], [ 101, 85, 30 ], [ 101, 86, 19 ], [ 101, 87, 59 ], [ 101, 88, 30 ], [ 101, 89, 59 ], [ 101, 90, 20 ], [ 101, 91, 89 ], [ 101, 92, 20 ], [ 101, 93, 60 ], [ 101, 94, 89 ], [ 101, 95, 60 ], [ 101, 96, 60 ], [ 101, 97, 86 ], [ 101, 98, 60 ], [ 101, 99, 0 ], [ 101, 100, 86 ], [ 101, 101, 0 ], [ 101, 102, 89 ], [ 101, 103, 63 ], [ 101, 104, 89 ], [ 101, 105, 45 ], [ 101, 106, 63 ], [ 101, 107, 45 ], [ 101, 108, 20 ], [ 101, 109, 55 ], [ 101, 110, 20 ], [ 101, 111, 34 ], [ 101, 112, 55 ], [ 101, 113, 34 ], [ 101, 114, 19 ], [ 101, 115, 82 ], [ 101, 116, 19 ], [ 101, 117, 37 ], [ 101, 118, 82 ], [ 101, 119, 37 ], [ 102, 0, 0 ], [ 102, 1, 3 ], [ 102, 2, 56 ], [ 102, 3, 59 ], [ 102, 4, 81 ], [ 102, 5, 82 ], [ 102, 6, 30 ], [ 102, 7, 37 ], [ 102, 8, 60 ], [ 102, 9, 67 ], [ 102, 10, 85 ], [ 102, 11, 90 ], [ 102, 12, 26 ], [ 102, 13, 41 ], [ 102, 14, 12 ], [ 102, 15, 23 ], [ 102, 16, 77 ], [ 102, 17, 93 ], [ 102, 18, 25 ], [ 102, 19, 34 ], [ 102, 20, 7 ], [ 102, 21, 20 ], [ 102, 22, 52 ], [ 102, 23, 68 ], [ 102, 24, 99 ], [ 102, 25, 100 ], [ 102, 26, 112 ], [ 102, 27, 111 ], [ 102, 28, 119 ], [ 102, 29, 116 ], [ 102, 30, 67 ], [ 102, 31, 90 ], [ 102, 32, 85 ], [ 102, 33, 30 ], [ 102, 34, 60 ], [ 102, 35, 37 ], [ 102, 36, 23 ], [ 102, 37, 93 ], [ 102, 38, 77 ], [ 102, 39, 26 ], [ 102, 40, 12 ], [ 102, 41, 41 ], [ 102, 42, 20 ], [ 102, 43, 68 ], [ 102, 44, 52 ], [ 102, 45, 25 ], [ 102, 46, 7 ], [ 102, 47, 34 ], [ 102, 48, 111 ], [ 102, 49, 116 ], [ 102, 50, 119 ], [ 102, 51, 99 ], [ 102, 52, 112 ], [ 102, 53, 100 ], [ 102, 54, 59 ], [ 102, 55, 82 ], [ 102, 56, 81 ], [ 102, 57, 0 ], [ 102, 58, 56 ], [ 102, 59, 3 ], [ 102, 60, 41 ], [ 102, 61, 77 ], [ 102, 62, 93 ], [ 102, 63, 12 ], [ 102, 64, 26 ], [ 102, 65, 23 ], [ 102, 66, 34 ], [ 102, 67, 52 ], [ 102, 68, 68 ], [ 102, 69, 7 ], [ 102, 70, 25 ], [ 102, 71, 20 ], [ 102, 72, 100 ], [ 102, 73, 119 ], [ 102, 74, 116 ], [ 102, 75, 112 ], [ 102, 76, 99 ], [ 102, 77, 111 ], [ 102, 78, 3 ], [ 102, 79, 81 ], [ 102, 80, 82 ], [ 102, 81, 56 ], [ 102, 82, 0 ], [ 102, 83, 59 ], [ 102, 84, 37 ], [ 102, 85, 85 ], [ 102, 86, 90 ], [ 102, 87, 60 ], [ 102, 88, 30 ], [ 102, 89, 67 ], [ 102, 90, 25 ], [ 102, 91, 7 ], [ 102, 92, 20 ], [ 102, 93, 52 ], [ 102, 94, 34 ], [ 102, 95, 68 ], [ 102, 96, 99 ], [ 102, 97, 112 ], [ 102, 98, 111 ], [ 102, 99, 119 ], [ 102, 100, 100 ], [ 102, 101, 116 ], [ 102, 102, 0 ], [ 102, 103, 56 ], [ 102, 104, 59 ], [ 102, 105, 81 ], [ 102, 106, 3 ], [ 102, 107, 82 ], [ 102, 108, 30 ], [ 102, 109, 60 ], [ 102, 110, 67 ], [ 102, 111, 85 ], [ 102, 112, 37 ], [ 102, 113, 90 ], [ 102, 114, 26 ], [ 102, 115, 12 ], [ 102, 116, 23 ], [ 102, 117, 77 ], [ 102, 118, 41 ], [ 102, 119, 93 ], [ 103, 0, 0 ], [ 103, 1, 3 ], [ 103, 2, 78 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 5, 59 ], [ 103, 6, 30 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 9, 90 ], [ 103, 10, 55 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 13, 29 ], [ 103, 14, 0 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 17, 67 ], [ 103, 18, 37 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 21, 19 ], [ 103, 22, 82 ], [ 103, 23, 90 ], [ 103, 24, 99 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 27, 116 ], [ 103, 28, 108 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 31, 90 ], [ 103, 32, 115 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 35, 30 ], [ 103, 36, 67 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 39, 29 ], [ 103, 40, 111 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 43, 19 ], [ 103, 44, 100 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 47, 37 ], [ 103, 48, 111 ], [ 103, 49, 116 ], [ 103, 50, 107 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 53, 99 ], [ 103, 54, 59 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 57, 3 ], [ 103, 58, 104 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 61, 29 ], [ 103, 62, 111 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 65, 0 ], [ 103, 66, 82 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 69, 19 ], [ 103, 70, 100 ], [ 103, 71, 3 ], [ 103, 72, 108 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 75, 116 ], [ 103, 76, 107 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 79, 3 ], [ 103, 80, 104 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 83, 78 ], [ 103, 84, 55 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 87, 90 ], [ 103, 88, 115 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 91, 37 ], [ 103, 92, 100 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 95, 82 ], [ 103, 96, 115 ], [ 103, 97, 99 ], [ 103, 98, 107 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 101, 108 ], [ 103, 102, 78 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 105, 59 ], [ 103, 106, 104 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 109, 30 ], [ 103, 110, 115 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 113, 55 ], [ 103, 114, 0 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 117, 67 ], [ 103, 118, 111 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 1, 81 ], [ 104, 2, 56 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 5, 4 ], [ 104, 6, 0 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 9, 94 ], [ 104, 10, 25 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 13, 82 ], [ 104, 14, 38 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 17, 68 ], [ 104, 18, 55 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 21, 20 ], [ 104, 22, 34 ], [ 104, 23, 68 ], [ 104, 24, 99 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 27, 116 ], [ 104, 28, 108 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 31, 119 ], [ 104, 32, 94 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 35, 25 ], [ 104, 36, 112 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 39, 38 ], [ 104, 40, 68 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 43, 96 ], [ 104, 44, 20 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 47, 34 ], [ 104, 48, 103 ], [ 104, 49, 107 ], [ 104, 50, 116 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 53, 108 ], [ 104, 54, 103 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 57, 56 ], [ 104, 58, 4 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 61, 112 ], [ 104, 62, 82 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 65, 68 ], [ 104, 66, 96 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 69, 55 ], [ 104, 70, 34 ], [ 104, 71, 68 ], [ 104, 72, 107 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 75, 99 ], [ 104, 76, 108 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 79, 103 ], [ 104, 80, 81 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 83, 4 ], [ 104, 84, 119 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 87, 0 ], [ 104, 88, 25 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 91, 96 ], [ 104, 92, 55 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 95, 20 ], [ 104, 96, 103 ], [ 104, 97, 107 ], [ 104, 98, 99 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 101, 116 ], [ 104, 102, 103 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 105, 81 ], [ 104, 106, 56 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 109, 119 ], [ 104, 110, 0 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 113, 94 ], [ 104, 114, 112 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 117, 82 ], [ 104, 118, 38 ], [ 104, 119, 94 ], [ 105, 0, 0 ], [ 105, 1, 81 ], [ 105, 2, 0 ], [ 105, 3, 59 ], [ 105, 4, 81 ], [ 105, 5, 59 ], [ 105, 6, 0 ], [ 105, 7, 81 ], [ 105, 8, 0 ], [ 105, 9, 45 ], [ 105, 10, 81 ], [ 105, 11, 45 ], [ 105, 12, 0 ], [ 105, 13, 59 ], [ 105, 14, 0 ], [ 105, 15, 45 ], [ 105, 16, 59 ], [ 105, 17, 45 ], [ 105, 18, 81 ], [ 105, 19, 59 ], [ 105, 20, 81 ], [ 105, 21, 45 ], [ 105, 22, 59 ], [ 105, 23, 45 ], [ 105, 24, 99 ], [ 105, 25, 119 ], [ 105, 26, 99 ], [ 105, 27, 111 ], [ 105, 28, 119 ], [ 105, 29, 111 ], [ 105, 30, 99 ], [ 105, 31, 119 ], [ 105, 32, 99 ], [ 105, 33, 45 ], [ 105, 34, 119 ], [ 105, 35, 45 ], [ 105, 36, 99 ], [ 105, 37, 111 ], [ 105, 38, 99 ], [ 105, 39, 45 ], [ 105, 40, 111 ], [ 105, 41, 45 ], [ 105, 42, 119 ], [ 105, 43, 111 ], [ 105, 44, 119 ], [ 105, 45, 45 ], [ 105, 46, 111 ], [ 105, 47, 45 ], [ 105, 48, 103 ], [ 105, 49, 107 ], [ 105, 50, 103 ], [ 105, 51, 111 ], [ 105, 52, 107 ], [ 105, 53, 111 ], [ 105, 54, 103 ], [ 105, 55, 107 ], [ 105, 56, 103 ], [ 105, 57, 59 ], [ 105, 58, 107 ], [ 105, 59, 59 ], [ 105, 60, 103 ], [ 105, 61, 111 ], [ 105, 62, 103 ], [ 105, 63, 59 ], [ 105, 64, 111 ], [ 105, 65, 59 ], [ 105, 66, 107 ], [ 105, 67, 111 ], [ 105, 68, 107 ], [ 105, 69, 59 ], [ 105, 70, 111 ], [ 105, 71, 59 ], [ 105, 72, 104 ], [ 105, 73, 107 ], [ 105, 74, 104 ], [ 105, 75, 119 ], [ 105, 76, 107 ], [ 105, 77, 119 ], [ 105, 78, 104 ], [ 105, 79, 107 ], [ 105, 80, 104 ], [ 105, 81, 81 ], [ 105, 82, 107 ], [ 105, 83, 81 ], [ 105, 84, 104 ], [ 105, 85, 119 ], [ 105, 86, 104 ], [ 105, 87, 81 ], [ 105, 88, 119 ], [ 105, 89, 81 ], [ 105, 90, 107 ], [ 105, 91, 119 ], [ 105, 92, 107 ], [ 105, 93, 81 ], [ 105, 94, 119 ], [ 105, 95, 81 ], [ 105, 96, 104 ], [ 105, 97, 103 ], [ 105, 98, 104 ], [ 105, 99, 99 ], [ 105, 100, 103 ], [ 105, 101, 99 ], [ 105, 102, 104 ], [ 105, 103, 103 ], [ 105, 104, 104 ], [ 105, 105, 0 ], [ 105, 106, 103 ], [ 105, 107, 0 ], [ 105, 108, 104 ], [ 105, 109, 99 ], [ 105, 110, 104 ], [ 105, 111, 0 ], [ 105, 112, 99 ], [ 105, 113, 0 ], [ 105, 114, 103 ], [ 105, 115, 99 ], [ 105, 116, 103 ], [ 105, 117, 0 ], [ 105, 118, 99 ], [ 105, 119, 0 ], [ 106, 0, 0 ], [ 106, 1, 55 ], [ 106, 2, 78 ], [ 106, 3, 59 ], [ 106, 4, 81 ], [ 106, 5, 4 ], [ 106, 6, 8 ], [ 106, 7, 51 ], [ 106, 8, 26 ], [ 106, 9, 71 ], [ 106, 10, 33 ], [ 106, 11, 23 ], [ 106, 12, 86 ], [ 106, 13, 64 ], [ 106, 14, 38 ], [ 106, 15, 68 ], [ 106, 16, 34 ], [ 106, 17, 94 ], [ 106, 18, 73 ], [ 106, 19, 16 ], [ 106, 20, 37 ], [ 106, 21, 19 ], [ 106, 22, 29 ], [ 106, 23, 90 ], [ 106, 24, 99 ], [ 106, 25, 108 ], [ 106, 26, 115 ], [ 106, 27, 111 ], [ 106, 28, 119 ], [ 106, 29, 96 ], [ 106, 30, 51 ], [ 106, 31, 8 ], [ 106, 32, 23 ], [ 106, 33, 33 ], [ 106, 34, 71 ], [ 106, 35, 26 ], [ 106, 36, 64 ], [ 106, 37, 86 ], [ 106, 38, 94 ], [ 106, 39, 34 ], [ 106, 40, 68 ], [ 106, 41, 38 ], [ 106, 42, 16 ], [ 106, 43, 73 ], [ 106, 44, 90 ], [ 106, 45, 29 ], [ 106, 46, 19 ], [ 106, 47, 37 ], [ 106, 48, 108 ], [ 106, 49, 99 ], [ 106, 50, 96 ], [ 106, 51, 119 ], [ 106, 52, 111 ], [ 106, 53, 115 ], [ 106, 54, 55 ], [ 106, 55, 0 ], [ 106, 56, 4 ], [ 106, 57, 81 ], [ 106, 58, 59 ], [ 106, 59, 78 ], [ 106, 60, 68 ], [ 106, 61, 38 ], [ 106, 62, 34 ], [ 106, 63, 94 ], [ 106, 64, 64 ], [ 106, 65, 86 ], [ 106, 66, 19 ], [ 106, 67, 37 ], [ 106, 68, 29 ], [ 106, 69, 90 ], [ 106, 70, 16 ], [ 106, 71, 73 ], [ 106, 72, 111 ], [ 106, 73, 115 ], [ 106, 74, 119 ], [ 106, 75, 96 ], [ 106, 76, 108 ], [ 106, 77, 99 ], [ 106, 78, 59 ], [ 106, 79, 78 ], [ 106, 80, 81 ], [ 106, 81, 4 ], [ 106, 82, 55 ], [ 106, 83, 0 ], [ 106, 84, 71 ], [ 106, 85, 26 ], [ 106, 86, 33 ], [ 106, 87, 23 ], [ 106, 88, 51 ], [ 106, 89, 8 ], [ 106, 90, 90 ], [ 106, 91, 29 ], [ 106, 92, 37 ], [ 106, 93, 19 ], [ 106, 94, 73 ], [ 106, 95, 16 ], [ 106, 96, 96 ], [ 106, 97, 119 ], [ 106, 98, 115 ], [ 106, 99, 111 ], [ 106, 100, 99 ], [ 106, 101, 108 ], [ 106, 102, 4 ], [ 106, 103, 81 ], [ 106, 104, 78 ], [ 106, 105, 59 ], [ 106, 106, 0 ], [ 106, 107, 55 ], [ 106, 108, 23 ], [ 106, 109, 33 ], [ 106, 110, 26 ], [ 106, 111, 71 ], [ 106, 112, 8 ], [ 106, 113, 51 ], [ 106, 114, 94 ], [ 106, 115, 34 ], [ 106, 116, 38 ], [ 106, 117, 68 ], [ 106, 118, 86 ], [ 106, 119, 64 ], [ 107, 0, 0 ], [ 107, 1, 55 ], [ 107, 2, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 5, 82 ], [ 107, 6, 8 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 9, 46 ], [ 107, 10, 51 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 13, 77 ], [ 107, 14, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 17, 42 ], [ 107, 18, 63 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 21, 45 ], [ 107, 22, 89 ], [ 107, 23, 45 ], [ 107, 24, 99 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 27, 116 ], [ 107, 28, 108 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 31, 8 ], [ 107, 32, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 35, 46 ], [ 107, 36, 77 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 39, 42 ], [ 107, 40, 12 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 43, 63 ], [ 107, 44, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 47, 45 ], [ 107, 48, 108 ], [ 107, 49, 99 ], [ 107, 50, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 53, 116 ], [ 107, 54, 55 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 57, 82 ], [ 107, 58, 0 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 61, 12 ], [ 107, 62, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 65, 77 ], [ 107, 66, 45 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 69, 89 ], [ 107, 70, 63 ], [ 107, 71, 89 ], [ 107, 72, 116 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 75, 108 ], [ 107, 76, 99 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 79, 0 ], [ 107, 80, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 83, 55 ], [ 107, 84, 46 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 87, 51 ], [ 107, 88, 8 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 91, 89 ], [ 107, 92, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 95, 63 ], [ 107, 96, 116 ], [ 107, 97, 108 ], [ 107, 98, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 101, 99 ], [ 107, 102, 82 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 105, 0 ], [ 107, 106, 55 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 109, 51 ], [ 107, 110, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 113, 8 ], [ 107, 114, 42 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 117, 12 ], [ 107, 118, 77 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 1, 15 ], [ 108, 2, 26 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 5, 82 ], [ 108, 6, 48 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 9, 46 ], [ 108, 10, 81 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 13, 59 ], [ 108, 14, 12 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 17, 94 ], [ 108, 18, 63 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 21, 23 ], [ 108, 22, 29 ], [ 108, 23, 45 ], [ 108, 24, 29 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 27, 81 ], [ 108, 28, 12 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 31, 23 ], [ 108, 32, 82 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 35, 63 ], [ 108, 36, 46 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 39, 48 ], [ 108, 40, 15 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 43, 94 ], [ 108, 44, 26 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 47, 59 ], [ 108, 48, 45 ], [ 108, 49, 94 ], [ 108, 50, 63 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 53, 26 ], [ 108, 54, 59 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 57, 12 ], [ 108, 58, 46 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 61, 29 ], [ 108, 62, 81 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 65, 23 ], [ 108, 66, 82 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 69, 15 ], [ 108, 70, 48 ], [ 108, 71, 19 ], [ 108, 72, 23 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 75, 82 ], [ 108, 76, 48 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 79, 63 ], [ 108, 80, 94 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 83, 29 ], [ 108, 84, 15 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 87, 26 ], [ 108, 88, 59 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 91, 81 ], [ 108, 92, 12 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 95, 46 ], [ 108, 96, 19 ], [ 108, 97, 46 ], [ 108, 98, 59 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 101, 15 ], [ 108, 102, 48 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 105, 81 ], [ 108, 106, 23 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 109, 12 ], [ 108, 110, 29 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 113, 94 ], [ 108, 114, 26 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 117, 82 ], [ 108, 118, 63 ], [ 108, 119, 93 ], [ 109, 0, 0 ], [ 109, 1, 15 ], [ 109, 2, 78 ], [ 109, 3, 77 ], [ 109, 4, 37 ], [ 109, 5, 29 ], [ 109, 6, 48 ], [ 109, 7, 51 ], [ 109, 8, 86 ], [ 109, 9, 94 ], [ 109, 10, 33 ], [ 109, 11, 45 ], [ 109, 12, 60 ], [ 109, 13, 64 ], [ 109, 14, 8 ], [ 109, 15, 23 ], [ 109, 16, 34 ], [ 109, 17, 42 ], [ 109, 18, 55 ], [ 109, 19, 59 ], [ 109, 20, 7 ], [ 109, 21, 19 ], [ 109, 22, 89 ], [ 109, 23, 90 ], [ 109, 24, 29 ], [ 109, 25, 77 ], [ 109, 26, 37 ], [ 109, 27, 15 ], [ 109, 28, 78 ], [ 109, 29, 0 ], [ 109, 30, 19 ], [ 109, 31, 23 ], [ 109, 32, 116 ], [ 109, 33, 64 ], [ 109, 34, 107 ], [ 109, 35, 59 ], [ 109, 36, 90 ], [ 109, 37, 94 ], [ 109, 38, 100 ], [ 109, 39, 51 ], [ 109, 40, 104 ], [ 109, 41, 55 ], [ 109, 42, 42 ], [ 109, 43, 45 ], [ 109, 44, 96 ], [ 109, 45, 48 ], [ 109, 46, 119 ], [ 109, 47, 60 ], [ 109, 48, 45 ], [ 109, 49, 94 ], [ 109, 50, 33 ], [ 109, 51, 51 ], [ 109, 52, 86 ], [ 109, 53, 48 ], [ 109, 54, 59 ], [ 109, 55, 64 ], [ 109, 56, 107 ], [ 109, 57, 23 ], [ 109, 58, 116 ], [ 109, 59, 19 ], [ 109, 60, 89 ], [ 109, 61, 77 ], [ 109, 62, 119 ], [ 109, 63, 15 ], [ 109, 64, 96 ], [ 109, 65, 7 ], [ 109, 66, 34 ], [ 109, 67, 29 ], [ 109, 68, 104 ], [ 109, 69, 0 ], [ 109, 70, 100 ], [ 109, 71, 8 ], [ 109, 72, 42 ], [ 109, 73, 23 ], [ 109, 74, 34 ], [ 109, 75, 64 ], [ 109, 76, 8 ], [ 109, 77, 60 ], [ 109, 78, 55 ], [ 109, 79, 51 ], [ 109, 80, 104 ], [ 109, 81, 94 ], [ 109, 82, 100 ], [ 109, 83, 90 ], [ 109, 84, 7 ], [ 109, 85, 15 ], [ 109, 86, 96 ], [ 109, 87, 77 ], [ 109, 88, 119 ], [ 109, 89, 89 ], [ 109, 90, 33 ], [ 109, 91, 37 ], [ 109, 92, 107 ], [ 109, 93, 78 ], [ 109, 94, 116 ], [ 109, 95, 86 ], [ 109, 96, 90 ], [ 109, 97, 19 ], [ 109, 98, 89 ], [ 109, 99, 59 ], [ 109, 100, 7 ], [ 109, 101, 55 ], [ 109, 102, 60 ], [ 109, 103, 48 ], [ 109, 104, 119 ], [ 109, 105, 45 ], [ 109, 106, 96 ], [ 109, 107, 42 ], [ 109, 108, 8 ], [ 109, 109, 0 ], [ 109, 110, 100 ], [ 109, 111, 29 ], [ 109, 112, 104 ], [ 109, 113, 34 ], [ 109, 114, 86 ], [ 109, 115, 78 ], [ 109, 116, 116 ], [ 109, 117, 37 ], [ 109, 118, 107 ], [ 109, 119, 33 ], [ 110, 0, 0 ], [ 110, 1, 81 ], [ 110, 2, 26 ], [ 110, 3, 77 ], [ 110, 4, 37 ], [ 110, 5, 16 ], [ 110, 6, 0 ], [ 110, 7, 81 ], [ 110, 8, 60 ], [ 110, 9, 90 ], [ 110, 10, 51 ], [ 110, 11, 23 ], [ 110, 12, 26 ], [ 110, 13, 77 ], [ 110, 14, 60 ], [ 110, 15, 90 ], [ 110, 16, 59 ], [ 110, 17, 45 ], [ 110, 18, 37 ], [ 110, 19, 16 ], [ 110, 20, 51 ], [ 110, 21, 23 ], [ 110, 22, 59 ], [ 110, 23, 45 ], [ 110, 24, 29 ], [ 110, 25, 41 ], [ 110, 26, 3 ], [ 110, 27, 15 ], [ 110, 28, 78 ], [ 110, 29, 74 ], [ 110, 30, 29 ], [ 110, 31, 41 ], [ 110, 32, 90 ], [ 110, 33, 60 ], [ 110, 34, 23 ], [ 110, 35, 51 ], [ 110, 36, 3 ], [ 110, 37, 15 ], [ 110, 38, 90 ], [ 110, 39, 60 ], [ 110, 40, 45 ], [ 110, 41, 59 ], [ 110, 42, 78 ], [ 110, 43, 74 ], [ 110, 44, 23 ], [ 110, 45, 51 ], [ 110, 46, 45 ], [ 110, 47, 59 ], [ 110, 48, 67 ], [ 110, 49, 71 ], [ 110, 50, 15 ], [ 110, 51, 3 ], [ 110, 52, 74 ], [ 110, 53, 78 ], [ 110, 54, 67 ], [ 110, 55, 71 ], [ 110, 56, 77 ], [ 110, 57, 26 ], [ 110, 58, 16 ], [ 110, 59, 37 ], [ 110, 60, 15 ], [ 110, 61, 3 ], [ 110, 62, 77 ], [ 110, 63, 26 ], [ 110, 64, 59 ], [ 110, 65, 45 ], [ 110, 66, 74 ], [ 110, 67, 78 ], [ 110, 68, 16 ], [ 110, 69, 37 ], [ 110, 70, 59 ], [ 110, 71, 45 ], [ 110, 72, 71 ], [ 110, 73, 67 ], [ 110, 74, 41 ], [ 110, 75, 29 ], [ 110, 76, 78 ], [ 110, 77, 74 ], [ 110, 78, 71 ], [ 110, 79, 67 ], [ 110, 80, 81 ], [ 110, 81, 0 ], [ 110, 82, 37 ], [ 110, 83, 16 ], [ 110, 84, 41 ], [ 110, 85, 29 ], [ 110, 86, 81 ], [ 110, 87, 0 ], [ 110, 88, 51 ], [ 110, 89, 23 ], [ 110, 90, 78 ], [ 110, 91, 74 ], [ 110, 92, 37 ], [ 110, 93, 16 ], [ 110, 94, 51 ], [ 110, 95, 23 ], [ 110, 96, 67 ], [ 110, 97, 71 ], [ 110, 98, 29 ], [ 110, 99, 41 ], [ 110, 100, 3 ], [ 110, 101, 15 ], [ 110, 102, 67 ], [ 110, 103, 71 ], [ 110, 104, 0 ], [ 110, 105, 81 ], [ 110, 106, 26 ], [ 110, 107, 77 ], [ 110, 108, 29 ], [ 110, 109, 41 ], [ 110, 110, 0 ], [ 110, 111, 81 ], [ 110, 112, 60 ], [ 110, 113, 90 ], [ 110, 114, 3 ], [ 110, 115, 15 ], [ 110, 116, 26 ], [ 110, 117, 77 ], [ 110, 118, 60 ], [ 110, 119, 90 ], [ 111, 0, 0 ], [ 111, 1, 81 ], [ 111, 2, 12 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 5, 29 ], [ 111, 6, 0 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 9, 71 ], [ 111, 10, 85 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 13, 41 ], [ 111, 14, 8 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 17, 68 ], [ 111, 18, 73 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 21, 67 ], [ 111, 22, 34 ], [ 111, 23, 68 ], [ 111, 24, 29 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 27, 81 ], [ 111, 28, 12 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 31, 41 ], [ 111, 32, 100 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 35, 67 ], [ 111, 36, 73 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 39, 71 ], [ 111, 40, 104 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 43, 0 ], [ 111, 44, 115 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 47, 68 ], [ 111, 48, 67 ], [ 111, 49, 71 ], [ 111, 50, 85 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 53, 0 ], [ 111, 54, 67 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 57, 41 ], [ 111, 58, 100 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 61, 81 ], [ 111, 62, 115 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 65, 34 ], [ 111, 66, 8 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 69, 29 ], [ 111, 70, 104 ], [ 111, 71, 34 ], [ 111, 72, 68 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 75, 41 ], [ 111, 76, 8 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 79, 71 ], [ 111, 80, 104 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 83, 73 ], [ 111, 84, 34 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 87, 81 ], [ 111, 88, 115 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 91, 12 ], [ 111, 92, 100 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 95, 85 ], [ 111, 96, 68 ], [ 111, 97, 67 ], [ 111, 98, 34 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 101, 73 ], [ 111, 102, 68 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 105, 0 ], [ 111, 106, 115 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 109, 29 ], [ 111, 110, 104 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 113, 8 ], [ 111, 114, 85 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 117, 12 ], [ 111, 118, 100 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 1, 25 ], [ 112, 2, 78 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 5, 16 ], [ 112, 6, 12 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 9, 45 ], [ 112, 10, 55 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 13, 29 ], [ 112, 14, 60 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 17, 93 ], [ 112, 18, 81 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 21, 19 ], [ 112, 22, 52 ], [ 112, 23, 90 ], [ 112, 24, 29 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 27, 81 ], [ 112, 28, 12 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 31, 78 ], [ 112, 32, 19 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 35, 52 ], [ 112, 36, 16 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 39, 55 ], [ 112, 40, 45 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 43, 25 ], [ 112, 44, 93 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 47, 60 ], [ 112, 48, 42 ], [ 112, 49, 19 ], [ 112, 50, 25 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 53, 60 ], [ 112, 54, 55 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 57, 93 ], [ 112, 58, 29 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 61, 12 ], [ 112, 62, 52 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 65, 81 ], [ 112, 66, 45 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 69, 78 ], [ 112, 70, 16 ], [ 112, 71, 74 ], [ 112, 72, 45 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 75, 52 ], [ 112, 76, 78 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 79, 60 ], [ 112, 80, 81 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 83, 19 ], [ 112, 84, 93 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 87, 16 ], [ 112, 88, 25 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 91, 29 ], [ 112, 92, 55 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 95, 12 ], [ 112, 96, 20 ], [ 112, 97, 93 ], [ 112, 98, 16 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 101, 55 ], [ 112, 102, 52 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 105, 45 ], [ 112, 106, 12 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 109, 81 ], [ 112, 110, 60 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 113, 29 ], [ 112, 114, 19 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 117, 25 ], [ 112, 118, 78 ], [ 112, 119, 37 ], [ 113, 0, 0 ], [ 113, 1, 25 ], [ 113, 2, 12 ], [ 113, 3, 77 ], [ 113, 4, 37 ], [ 113, 5, 82 ], [ 113, 6, 12 ], [ 113, 7, 37 ], [ 113, 8, 0 ], [ 113, 9, 67 ], [ 113, 10, 25 ], [ 113, 11, 68 ], [ 113, 12, 0 ], [ 113, 13, 82 ], [ 113, 14, 12 ], [ 113, 15, 68 ], [ 113, 16, 77 ], [ 113, 17, 67 ], [ 113, 18, 25 ], [ 113, 19, 77 ], [ 113, 20, 37 ], [ 113, 21, 67 ], [ 113, 22, 82 ], [ 113, 23, 68 ], [ 113, 24, 29 ], [ 113, 25, 4 ], [ 113, 26, 73 ], [ 113, 27, 15 ], [ 113, 28, 78 ], [ 113, 29, 38 ], [ 113, 30, 73 ], [ 113, 31, 78 ], [ 113, 32, 29 ], [ 113, 33, 67 ], [ 113, 34, 4 ], [ 113, 35, 68 ], [ 113, 36, 29 ], [ 113, 37, 38 ], [ 113, 38, 73 ], [ 113, 39, 68 ], [ 113, 40, 15 ], [ 113, 41, 67 ], [ 113, 42, 4 ], [ 113, 43, 15 ], [ 113, 44, 78 ], [ 113, 45, 67 ], [ 113, 46, 38 ], [ 113, 47, 68 ], [ 113, 48, 42 ], [ 113, 49, 19 ], [ 113, 50, 55 ], [ 113, 51, 15 ], [ 113, 52, 48 ], [ 113, 53, 38 ], [ 113, 54, 55 ], [ 113, 55, 48 ], [ 113, 56, 42 ], [ 113, 57, 77 ], [ 113, 58, 19 ], [ 113, 59, 82 ], [ 113, 60, 42 ], [ 113, 61, 38 ], [ 113, 62, 55 ], [ 113, 63, 82 ], [ 113, 64, 15 ], [ 113, 65, 77 ], [ 113, 66, 19 ], [ 113, 67, 15 ], [ 113, 68, 48 ], [ 113, 69, 77 ], [ 113, 70, 38 ], [ 113, 71, 82 ], [ 113, 72, 94 ], [ 113, 73, 19 ], [ 113, 74, 64 ], [ 113, 75, 4 ], [ 113, 76, 48 ], [ 113, 77, 78 ], [ 113, 78, 64 ], [ 113, 79, 48 ], [ 113, 80, 94 ], [ 113, 81, 25 ], [ 113, 82, 19 ], [ 113, 83, 37 ], [ 113, 84, 94 ], [ 113, 85, 78 ], [ 113, 86, 64 ], [ 113, 87, 37 ], [ 113, 88, 4 ], [ 113, 89, 25 ], [ 113, 90, 19 ], [ 113, 91, 4 ], [ 113, 92, 48 ], [ 113, 93, 25 ], [ 113, 94, 78 ], [ 113, 95, 37 ], [ 113, 96, 94 ], [ 113, 97, 42 ], [ 113, 98, 64 ], [ 113, 99, 29 ], [ 113, 100, 55 ], [ 113, 101, 73 ], [ 113, 102, 64 ], [ 113, 103, 55 ], [ 113, 104, 94 ], [ 113, 105, 0 ], [ 113, 106, 42 ], [ 113, 107, 12 ], [ 113, 108, 94 ], [ 113, 109, 73 ], [ 113, 110, 64 ], [ 113, 111, 12 ], [ 113, 112, 29 ], [ 113, 113, 0 ], [ 113, 114, 42 ], [ 113, 115, 29 ], [ 113, 116, 55 ], [ 113, 117, 0 ], [ 113, 118, 73 ], [ 113, 119, 12 ], [ 114, 0, 0 ], [ 114, 1, 7 ], [ 114, 2, 26 ], [ 114, 3, 34 ], [ 114, 4, 51 ], [ 114, 5, 59 ], [ 114, 6, 86 ], [ 114, 7, 81 ], [ 114, 8, 26 ], [ 114, 9, 45 ], [ 114, 10, 51 ], [ 114, 11, 68 ], [ 114, 12, 86 ], [ 114, 13, 77 ], [ 114, 14, 0 ], [ 114, 15, 23 ], [ 114, 16, 59 ], [ 114, 17, 68 ], [ 114, 18, 81 ], [ 114, 19, 77 ], [ 114, 20, 7 ], [ 114, 21, 23 ], [ 114, 22, 34 ], [ 114, 23, 45 ], [ 114, 24, 25 ], [ 114, 25, 48 ], [ 114, 26, 4 ], [ 114, 27, 56 ], [ 114, 28, 11 ], [ 114, 29, 33 ], [ 114, 30, 68 ], [ 114, 31, 45 ], [ 114, 32, 4 ], [ 114, 33, 81 ], [ 114, 34, 11 ], [ 114, 35, 86 ], [ 114, 36, 68 ], [ 114, 37, 23 ], [ 114, 38, 25 ], [ 114, 39, 77 ], [ 114, 40, 33 ], [ 114, 41, 86 ], [ 114, 42, 45 ], [ 114, 43, 23 ], [ 114, 44, 48 ], [ 114, 45, 77 ], [ 114, 46, 56 ], [ 114, 47, 81 ], [ 114, 48, 33 ], [ 114, 49, 56 ], [ 114, 50, 93 ], [ 114, 51, 48 ], [ 114, 52, 94 ], [ 114, 53, 25 ], [ 114, 54, 59 ], [ 114, 55, 34 ], [ 114, 56, 93 ], [ 114, 57, 7 ], [ 114, 58, 94 ], [ 114, 59, 0 ], [ 114, 60, 59 ], [ 114, 61, 77 ], [ 114, 62, 33 ], [ 114, 63, 23 ], [ 114, 64, 25 ], [ 114, 65, 0 ], [ 114, 66, 34 ], [ 114, 67, 77 ], [ 114, 68, 56 ], [ 114, 69, 23 ], [ 114, 70, 48 ], [ 114, 71, 7 ], [ 114, 72, 11 ], [ 114, 73, 48 ], [ 114, 74, 94 ], [ 114, 75, 56 ], [ 114, 76, 93 ], [ 114, 77, 4 ], [ 114, 78, 51 ], [ 114, 79, 7 ], [ 114, 80, 94 ], [ 114, 81, 34 ], [ 114, 82, 93 ], [ 114, 83, 26 ], [ 114, 84, 51 ], [ 114, 85, 81 ], [ 114, 86, 11 ], [ 114, 87, 45 ], [ 114, 88, 4 ], [ 114, 89, 26 ], [ 114, 90, 7 ], [ 114, 91, 81 ], [ 114, 92, 48 ], [ 114, 93, 45 ], [ 114, 94, 56 ], [ 114, 95, 34 ], [ 114, 96, 4 ], [ 114, 97, 25 ], [ 114, 98, 93 ], [ 114, 99, 33 ], [ 114, 100, 94 ], [ 114, 101, 11 ], [ 114, 102, 26 ], [ 114, 103, 0 ], [ 114, 104, 93 ], [ 114, 105, 59 ], [ 114, 106, 94 ], [ 114, 107, 51 ], [ 114, 108, 26 ], [ 114, 109, 86 ], [ 114, 110, 4 ], [ 114, 111, 68 ], [ 114, 112, 11 ], [ 114, 113, 51 ], [ 114, 114, 0 ], [ 114, 115, 86 ], [ 114, 116, 25 ], [ 114, 117, 68 ], [ 114, 118, 33 ], [ 114, 119, 59 ], [ 115, 0, 0 ], [ 115, 1, 7 ], [ 115, 2, 56 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 5, 29 ], [ 115, 6, 86 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 9, 71 ], [ 115, 10, 25 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 13, 82 ], [ 115, 14, 8 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 17, 45 ], [ 115, 18, 73 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 21, 20 ], [ 115, 22, 59 ], [ 115, 23, 68 ], [ 115, 24, 25 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 27, 8 ], [ 115, 28, 59 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 31, 45 ], [ 115, 32, 7 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 35, 82 ], [ 115, 36, 20 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 39, 73 ], [ 115, 40, 56 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 43, 71 ], [ 115, 44, 29 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 47, 86 ], [ 115, 48, 33 ], [ 115, 49, 56 ], [ 115, 50, 45 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 53, 73 ], [ 115, 54, 59 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 57, 20 ], [ 115, 58, 86 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 61, 29 ], [ 115, 62, 71 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 65, 7 ], [ 115, 66, 82 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 69, 8 ], [ 115, 70, 25 ], [ 115, 71, 0 ], [ 115, 72, 29 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 75, 86 ], [ 115, 76, 20 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 79, 25 ], [ 115, 80, 82 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 83, 71 ], [ 115, 84, 73 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 87, 59 ], [ 115, 88, 8 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 91, 7 ], [ 115, 92, 45 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 95, 56 ], [ 115, 96, 52 ], [ 115, 97, 7 ], [ 115, 98, 71 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 101, 82 ], [ 115, 102, 8 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 105, 45 ], [ 115, 106, 73 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 109, 56 ], [ 115, 110, 20 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 113, 29 ], [ 115, 114, 86 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 117, 25 ], [ 115, 118, 59 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 1, 55 ], [ 116, 2, 26 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 5, 11 ], [ 116, 6, 8 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 9, 67 ], [ 116, 10, 81 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 13, 59 ], [ 116, 14, 74 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 17, 42 ], [ 116, 18, 25 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 21, 23 ], [ 116, 22, 89 ], [ 116, 23, 45 ], [ 116, 24, 25 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 27, 8 ], [ 116, 28, 59 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 31, 11 ], [ 116, 32, 42 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 35, 74 ], [ 116, 36, 55 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 39, 89 ], [ 116, 40, 23 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 43, 26 ], [ 116, 44, 67 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 47, 81 ], [ 116, 48, 85 ], [ 116, 49, 74 ], [ 116, 50, 23 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 53, 55 ], [ 116, 54, 67 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 57, 25 ], [ 116, 58, 89 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 61, 81 ], [ 116, 62, 11 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 65, 26 ], [ 116, 66, 8 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 69, 42 ], [ 116, 70, 59 ], [ 116, 71, 33 ], [ 116, 72, 89 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 75, 26 ], [ 116, 76, 67 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 79, 42 ], [ 116, 80, 81 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 83, 8 ], [ 116, 84, 59 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 87, 23 ], [ 116, 88, 25 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 91, 74 ], [ 116, 92, 55 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 95, 11 ], [ 116, 96, 77 ], [ 116, 97, 81 ], [ 116, 98, 42 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 101, 11 ], [ 116, 102, 23 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 105, 59 ], [ 116, 106, 74 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 109, 89 ], [ 116, 110, 26 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 113, 55 ], [ 116, 114, 25 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 117, 67 ], [ 116, 118, 8 ], [ 116, 119, 52 ], [ 117, 0, 0 ], [ 117, 1, 55 ], [ 117, 2, 8 ], [ 117, 3, 34 ], [ 117, 4, 51 ], [ 117, 5, 29 ], [ 117, 6, 8 ], [ 117, 7, 51 ], [ 117, 8, 0 ], [ 117, 9, 94 ], [ 117, 10, 55 ], [ 117, 11, 90 ], [ 117, 12, 0 ], [ 117, 13, 29 ], [ 117, 14, 8 ], [ 117, 15, 90 ], [ 117, 16, 34 ], [ 117, 17, 94 ], [ 117, 18, 55 ], [ 117, 19, 34 ], [ 117, 20, 51 ], [ 117, 21, 94 ], [ 117, 22, 29 ], [ 117, 23, 90 ], [ 117, 24, 25 ], [ 117, 25, 30 ], [ 117, 26, 52 ], [ 117, 27, 56 ], [ 117, 28, 11 ], [ 117, 29, 3 ], [ 117, 30, 52 ], [ 117, 31, 11 ], [ 117, 32, 25 ], [ 117, 33, 94 ], [ 117, 34, 30 ], [ 117, 35, 90 ], [ 117, 36, 25 ], [ 117, 37, 3 ], [ 117, 38, 52 ], [ 117, 39, 90 ], [ 117, 40, 56 ], [ 117, 41, 94 ], [ 117, 42, 30 ], [ 117, 43, 56 ], [ 117, 44, 11 ], [ 117, 45, 94 ], [ 117, 46, 3 ], [ 117, 47, 90 ], [ 117, 48, 85 ], [ 117, 49, 74 ], [ 117, 50, 67 ], [ 117, 51, 56 ], [ 117, 52, 20 ], [ 117, 53, 3 ], [ 117, 54, 67 ], [ 117, 55, 20 ], [ 117, 56, 85 ], [ 117, 57, 34 ], [ 117, 58, 74 ], [ 117, 59, 29 ], [ 117, 60, 85 ], [ 117, 61, 3 ], [ 117, 62, 67 ], [ 117, 63, 29 ], [ 117, 64, 56 ], [ 117, 65, 34 ], [ 117, 66, 74 ], [ 117, 67, 56 ], [ 117, 68, 20 ], [ 117, 69, 34 ], [ 117, 70, 3 ], [ 117, 71, 29 ], [ 117, 72, 82 ], [ 117, 73, 74 ], [ 117, 74, 46 ], [ 117, 75, 30 ], [ 117, 76, 20 ], [ 117, 77, 11 ], [ 117, 78, 46 ], [ 117, 79, 20 ], [ 117, 80, 82 ], [ 117, 81, 55 ], [ 117, 82, 74 ], [ 117, 83, 51 ], [ 117, 84, 82 ], [ 117, 85, 11 ], [ 117, 86, 46 ], [ 117, 87, 51 ], [ 117, 88, 30 ], [ 117, 89, 55 ], [ 117, 90, 74 ], [ 117, 91, 30 ], [ 117, 92, 20 ], [ 117, 93, 55 ], [ 117, 94, 11 ], [ 117, 95, 51 ], [ 117, 96, 82 ], [ 117, 97, 85 ], [ 117, 98, 46 ], [ 117, 99, 25 ], [ 117, 100, 67 ], [ 117, 101, 52 ], [ 117, 102, 46 ], [ 117, 103, 67 ], [ 117, 104, 82 ], [ 117, 105, 0 ], [ 117, 106, 85 ], [ 117, 107, 8 ], [ 117, 108, 82 ], [ 117, 109, 52 ], [ 117, 110, 46 ], [ 117, 111, 8 ], [ 117, 112, 25 ], [ 117, 113, 0 ], [ 117, 114, 85 ], [ 117, 115, 25 ], [ 117, 116, 67 ], [ 117, 117, 0 ], [ 117, 118, 52 ], [ 117, 119, 8 ], [ 118, 0, 0 ], [ 118, 1, 25 ], [ 118, 2, 56 ], [ 118, 3, 34 ], [ 118, 4, 51 ], [ 118, 5, 11 ], [ 118, 6, 12 ], [ 118, 7, 37 ], [ 118, 8, 86 ], [ 118, 9, 46 ], [ 118, 10, 85 ], [ 118, 11, 23 ], [ 118, 12, 60 ], [ 118, 13, 41 ], [ 118, 14, 74 ], [ 118, 15, 45 ], [ 118, 16, 77 ], [ 118, 17, 67 ], [ 118, 18, 63 ], [ 118, 19, 16 ], [ 118, 20, 81 ], [ 118, 21, 20 ], [ 118, 22, 82 ], [ 118, 23, 68 ], [ 118, 24, 25 ], [ 118, 25, 0 ], [ 118, 26, 34 ], [ 118, 27, 56 ], [ 118, 28, 11 ], [ 118, 29, 51 ], [ 118, 30, 96 ], [ 118, 31, 103 ], [ 118, 32, 68 ], [ 118, 33, 82 ], [ 118, 34, 67 ], [ 118, 35, 77 ], [ 118, 36, 108 ], [ 118, 37, 107 ], [ 118, 38, 20 ], [ 118, 39, 81 ], [ 118, 40, 23 ], [ 118, 41, 85 ], [ 118, 42, 111 ], [ 118, 43, 100 ], [ 118, 44, 45 ], [ 118, 45, 74 ], [ 118, 46, 46 ], [ 118, 47, 86 ], [ 118, 48, 37 ], [ 118, 49, 12 ], [ 118, 50, 46 ], [ 118, 51, 86 ], [ 118, 52, 23 ], [ 118, 53, 85 ], [ 118, 54, 103 ], [ 118, 55, 96 ], [ 118, 56, 82 ], [ 118, 57, 68 ], [ 118, 58, 77 ], [ 118, 59, 67 ], [ 118, 60, 100 ], [ 118, 61, 111 ], [ 118, 62, 16 ], [ 118, 63, 63 ], [ 118, 64, 11 ], [ 118, 65, 51 ], [ 118, 66, 107 ], [ 118, 67, 108 ], [ 118, 68, 41 ], [ 118, 69, 60 ], [ 118, 70, 34 ], [ 118, 71, 56 ], [ 118, 72, 41 ], [ 118, 73, 60 ], [ 118, 74, 45 ], [ 118, 75, 74 ], [ 118, 76, 67 ], [ 118, 77, 77 ], [ 118, 78, 107 ], [ 118, 79, 108 ], [ 118, 80, 81 ], [ 118, 81, 20 ], [ 118, 82, 85 ], [ 118, 83, 23 ], [ 118, 84, 111 ], [ 118, 85, 100 ], [ 118, 86, 63 ], [ 118, 87, 16 ], [ 118, 88, 51 ], [ 118, 89, 11 ], [ 118, 90, 103 ], [ 118, 91, 96 ], [ 118, 92, 37 ], [ 118, 93, 12 ], [ 118, 94, 25 ], [ 118, 95, 0 ], [ 118, 96, 16 ], [ 118, 97, 63 ], [ 118, 98, 20 ], [ 118, 99, 81 ], [ 118, 100, 68 ], [ 118, 101, 82 ], [ 118, 102, 100 ], [ 118, 103, 111 ], [ 118, 104, 74 ], [ 118, 105, 45 ], [ 118, 106, 86 ], [ 118, 107, 46 ], [ 118, 108, 108 ], [ 118, 109, 107 ], [ 118, 110, 60 ], [ 118, 111, 41 ], [ 118, 112, 56 ], [ 118, 113, 34 ], [ 118, 114, 96 ], [ 118, 115, 103 ], [ 118, 116, 12 ], [ 118, 117, 37 ], [ 118, 118, 0 ], [ 118, 119, 25 ], [ 119, 0, 0 ], [ 119, 1, 25 ], [ 119, 2, 8 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 5, 59 ], [ 119, 6, 12 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 9, 90 ], [ 119, 10, 33 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 13, 64 ], [ 119, 14, 0 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 17, 93 ], [ 119, 18, 37 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 21, 94 ], [ 119, 22, 52 ], [ 119, 23, 90 ], [ 119, 24, 25 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 27, 8 ], [ 119, 28, 59 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 31, 103 ], [ 119, 32, 52 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 35, 93 ], [ 119, 36, 96 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 39, 94 ], [ 119, 40, 33 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 43, 112 ], [ 119, 44, 0 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 47, 90 ], [ 119, 48, 37 ], [ 119, 49, 12 ], [ 119, 50, 90 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 53, 33 ], [ 119, 54, 103 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 57, 52 ], [ 119, 58, 93 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 61, 112 ], [ 119, 62, 37 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 65, 59 ], [ 119, 66, 96 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 69, 64 ], [ 119, 70, 8 ], [ 119, 71, 52 ], [ 119, 72, 64 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 75, 0 ], [ 119, 76, 93 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 79, 96 ], [ 119, 80, 94 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 83, 33 ], [ 119, 84, 112 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 87, 37 ], [ 119, 88, 59 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 91, 103 ], [ 119, 92, 12 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 95, 25 ], [ 119, 96, 64 ], [ 119, 97, 37 ], [ 119, 98, 94 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 101, 52 ], [ 119, 102, 112 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 105, 0 ], [ 119, 106, 90 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 109, 96 ], [ 119, 110, 64 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 113, 8 ], [ 119, 114, 103 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 117, 12 ], [ 119, 118, 25 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } }, { "elements": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 23, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 48, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 71, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 96, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 119, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 23, 16 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 48, 8 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 71, 46 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 96, 19 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 23, 7 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 48, 11 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 71, 52 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 96, 20 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 119, 96 ], [ 7, 0, 0 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 23, 0 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 48, 48 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 71, 48 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 96, 52 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 23, 7 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 48, 26 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 71, 3 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 96, 74 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 119, 12 ], [ 11, 0, 0 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 23, 16 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 48, 29 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 71, 89 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 96, 77 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 23, 16 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 48, 86 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 71, 19 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 96, 78 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 119, 8 ], [ 15, 0, 0 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 23, 7 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 48, 38 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 71, 81 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 96, 115 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 23, 0 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 48, 34 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 71, 34 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 96, 103 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 119, 103 ], [ 19, 0, 0 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 23, 7 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 48, 111 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 71, 68 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 96, 116 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 23, 16 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 48, 45 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 71, 74 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 96, 68 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 119, 25 ], [ 23, 0, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 23, 0 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 48, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 71, 33 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 96, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 119, 64 ], [ 25, 0, 0 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 23, 85 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 48, 48 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 71, 3 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 96, 77 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 23, 99 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 48, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 71, 34 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 96, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 119, 37 ], [ 29, 0, 0 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 23, 64 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 48, 111 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 71, 74 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 96, 64 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 23, 85 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 48, 0 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 71, 33 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 96, 103 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 119, 33 ], [ 33, 0, 0 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 23, 64 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 48, 78 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 71, 68 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 96, 0 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 23, 99 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 48, 103 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 71, 0 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 96, 78 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 119, 103 ], [ 37, 0, 0 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 23, 99 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 48, 8 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 71, 89 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 96, 68 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 23, 64 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 48, 60 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 71, 46 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 96, 116 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 119, 25 ], [ 41, 0, 0 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 23, 85 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 48, 108 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 71, 48 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 96, 19 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 23, 64 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 48, 11 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 71, 81 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 96, 74 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 119, 59 ], [ 45, 0, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 23, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 48, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 71, 19 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 96, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 23, 85 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 48, 85 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 71, 52 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 96, 52 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 119, 12 ], [ 48, 0, 0 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 23, 96 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 48, 0 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 71, 52 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 96, 19 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 119, 52 ], [ 51, 0, 0 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 23, 41 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 48, 38 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 71, 19 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 96, 103 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 23, 78 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 48, 45 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 71, 33 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 96, 116 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 119, 112 ], [ 55, 0, 0 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 23, 96 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 48, 48 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 71, 34 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 96, 64 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 23, 78 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 48, 60 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 71, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 96, 68 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 119, 64 ], [ 59, 0, 0 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 23, 41 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 48, 67 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 71, 81 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 96, 52 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 23, 41 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 48, 26 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 71, 68 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 96, 20 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 119, 59 ], [ 63, 0, 0 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 23, 78 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 48, 78 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 71, 74 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 96, 74 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 23, 96 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 48, 42 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 71, 3 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 96, 0 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 119, 96 ], [ 67, 0, 0 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 23, 78 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 48, 29 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 71, 46 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 96, 78 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 23, 41 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 48, 103 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 71, 89 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 96, 115 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 119, 8 ], [ 71, 0, 0 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 23, 96 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 48, 37 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 71, 0 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 96, 77 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 119, 37 ], [ 73, 0, 0 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 23, 56 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 48, 8 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 71, 0 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 96, 20 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 23, 100 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 48, 26 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 71, 89 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 96, 52 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 119, 94 ], [ 77, 0, 0 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 23, 33 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 48, 33 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 71, 68 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 96, 68 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 23, 56 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 48, 86 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 71, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 96, 77 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 119, 93 ], [ 81, 0, 0 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 23, 33 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 48, 78 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 71, 33 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 96, 78 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 23, 100 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 48, 85 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 71, 19 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 96, 74 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 119, 112 ], [ 85, 0, 0 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 23, 100 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 48, 38 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 71, 52 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 96, 116 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 23, 33 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 48, 60 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 71, 81 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 96, 64 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 119, 90 ], [ 89, 0, 0 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 23, 56 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 48, 37 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 71, 46 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 96, 115 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 23, 33 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 48, 34 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 71, 48 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 96, 0 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 119, 33 ], [ 93, 0, 0 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 23, 100 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 48, 108 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 71, 3 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 96, 103 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 23, 56 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 48, 42 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 71, 34 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 96, 19 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 119, 0 ], [ 96, 0, 0 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 23, 90 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 48, 11 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 71, 46 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 96, 0 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 119, 90 ], [ 99, 0, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 23, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 48, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 71, 48 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 96, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 23, 68 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 48, 34 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 71, 81 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 96, 78 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 119, 64 ], [ 103, 0, 0 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 23, 90 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 48, 111 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 71, 3 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 96, 115 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 23, 68 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 48, 103 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 71, 68 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 96, 103 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 119, 94 ], [ 107, 0, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 23, 45 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 48, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 71, 89 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 96, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 23, 45 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 48, 45 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 71, 19 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 96, 19 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 119, 93 ], [ 111, 0, 0 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 23, 68 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 48, 67 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 71, 34 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 96, 68 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 23, 90 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 48, 42 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 71, 74 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 96, 20 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 119, 37 ], [ 115, 0, 0 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 23, 68 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 48, 33 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 71, 0 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 96, 52 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 23, 45 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 48, 85 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 71, 33 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 96, 77 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 119, 52 ], [ 119, 0, 0 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 23, 90 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 48, 37 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 71, 52 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 96, 64 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } } ], "solvable": false, "affine": false } ] }, "binomial": { "version": 160, "parameters": { "coefficients": "-2,0,0,0,0,1", "prime": "2", "evidencePrimes": "2,3,5,7,11", "useReal": "yes", "useDiscriminant": "yes", "useConstruction": "yes", "bits": "8" }, "polynomial": { "coefficients": [ -2, 0, 0, 0, 0, 1 ], "degree": 5, "rational": { "bound": 3, "factors": [ [ "-2", "0", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "irreducible": true, "searches": [ { "polynomial": [ "-2", "0", "0", "0", "0", "1" ], "bound": 3, "linearTrials": [ { "root": "-3", "value": "-245" }, { "root": "-2", "value": "-34" }, { "root": "-1", "value": "-3" }, { "root": "0", "value": "-2" }, { "root": "1", "value": "-1" }, { "root": "2", "value": "30" }, { "root": "3", "value": "241" } ], "quadraticTrials": [ { "linearCoefficient": -6, "constant": "-1", "remainder": [ "226", "1405" ] }, { "linearCoefficient": -6, "constant": "1", "remainder": [ "-206", "1189" ] }, { "linearCoefficient": -6, "constant": "-2", "remainder": [ "478", "1516" ] }, { "linearCoefficient": -6, "constant": "2", "remainder": [ "-386", "1084" ] }, { "linearCoefficient": -5, "constant": "-1", "remainder": [ "133", "701" ] }, { "linearCoefficient": -5, "constant": "1", "remainder": [ "-117", "551" ] }, { "linearCoefficient": -5, "constant": "-2", "remainder": [ "288", "779" ] }, { "linearCoefficient": -5, "constant": "2", "remainder": [ "-212", "479" ] }, { "linearCoefficient": -4, "constant": "-1", "remainder": [ "70", "305" ] }, { "linearCoefficient": -4, "constant": "1", "remainder": [ "-58", "209" ] }, { "linearCoefficient": -4, "constant": "-2", "remainder": [ "158", "356" ] }, { "linearCoefficient": -4, "constant": "2", "remainder": [ "-98", "164" ] }, { "linearCoefficient": -3, "constant": "-1", "remainder": [ "31", "109" ] }, { "linearCoefficient": -3, "constant": "1", "remainder": [ "-23", "55" ] }, { "linearCoefficient": -3, "constant": "-2", "remainder": [ "76", "139" ] }, { "linearCoefficient": -3, "constant": "2", "remainder": [ "-32", "31" ] }, { "linearCoefficient": -2, "constant": "-1", "remainder": [ "10", "29" ] }, { "linearCoefficient": -2, "constant": "1", "remainder": [ "-6", "5" ] }, { "linearCoefficient": -2, "constant": "-2", "remainder": [ "30", "44" ] }, { "linearCoefficient": -2, "constant": "2", "remainder": [ "-2", "-4" ] }, { "linearCoefficient": -1, "constant": "-1", "remainder": [ "1", "5" ] }, { "linearCoefficient": -1, "constant": "1", "remainder": [ "-1", "-1" ] }, { "linearCoefficient": -1, "constant": "-2", "remainder": [ "8", "11" ] }, { "linearCoefficient": -1, "constant": "2", "remainder": [ "4", "-1" ] }, { "linearCoefficient": 0, "constant": "-1", "remainder": [ "-2", "1" ] }, { "linearCoefficient": 0, "constant": "1", "remainder": [ "-2", "1" ] }, { "linearCoefficient": 0, "constant": "-2", "remainder": [ "-2", "4" ] }, { "linearCoefficient": 0, "constant": "2", "remainder": [ "-2", "4" ] }, { "linearCoefficient": 1, "constant": "-1", "remainder": [ "-5", "5" ] }, { "linearCoefficient": 1, "constant": "1", "remainder": [ "-3", "-1" ] }, { "linearCoefficient": 1, "constant": "-2", "remainder": [ "-12", "11" ] }, { "linearCoefficient": 1, "constant": "2", "remainder": [ "-8", "-1" ] }, { "linearCoefficient": 2, "constant": "-1", "remainder": [ "-14", "29" ] }, { "linearCoefficient": 2, "constant": "1", "remainder": [ "2", "5" ] }, { "linearCoefficient": 2, "constant": "-2", "remainder": [ "-34", "44" ] }, { "linearCoefficient": 2, "constant": "2", "remainder": [ "-2", "-4" ] }, { "linearCoefficient": 3, "constant": "-1", "remainder": [ "-35", "109" ] }, { "linearCoefficient": 3, "constant": "1", "remainder": [ "19", "55" ] }, { "linearCoefficient": 3, "constant": "-2", "remainder": [ "-80", "139" ] }, { "linearCoefficient": 3, "constant": "2", "remainder": [ "28", "31" ] }, { "linearCoefficient": 4, "constant": "-1", "remainder": [ "-74", "305" ] }, { "linearCoefficient": 4, "constant": "1", "remainder": [ "54", "209" ] }, { "linearCoefficient": 4, "constant": "-2", "remainder": [ "-162", "356" ] }, { "linearCoefficient": 4, "constant": "2", "remainder": [ "94", "164" ] }, { "linearCoefficient": 5, "constant": "-1", "remainder": [ "-137", "701" ] }, { "linearCoefficient": 5, "constant": "1", "remainder": [ "113", "551" ] }, { "linearCoefficient": 5, "constant": "-2", "remainder": [ "-292", "779" ] }, { "linearCoefficient": 5, "constant": "2", "remainder": [ "208", "479" ] }, { "linearCoefficient": 6, "constant": "-1", "remainder": [ "-230", "1405" ] }, { "linearCoefficient": 6, "constant": "1", "remainder": [ "202", "1189" ] }, { "linearCoefficient": 6, "constant": "-2", "remainder": [ "-482", "1516" ] }, { "linearCoefficient": 6, "constant": "2", "remainder": [ "382", "1084" ] } ], "found": null, "quotient": null } ], "product": [ "-2", "0", "0", "0", "0", "1" ] }, "discriminant": { "value": "50000", "square": { "square": false, "root": "223" }, "sylvester": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "5", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ] ], "resultant": "50000", "bareiss": [ { "column": 0, "swappedWith": 0, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "0", "10", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ] ] }, { "column": 1, "swappedWith": 1, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "0", "10", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "10", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ] ] }, { "column": 2, "swappedWith": 2, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "0", "10", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "10", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "10", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ] ] }, { "column": 3, "swappedWith": 3, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "0", "10", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "10", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "10", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "10" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ] ] }, { "column": 4, "swappedWith": 8, "pivot": "5", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "50", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "50", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "50" ], [ "0", "0", "0", "0", "0", "50", "0", "0", "0" ] ] }, { "column": 5, "swappedWith": 8, "pivot": "50", "previousPivot": "5", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "50", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "500", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "500" ], [ "0", "0", "0", "0", "0", "0", "500", "0", "0" ] ] }, { "column": 6, "swappedWith": 8, "pivot": "500", "previousPivot": "50", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "50", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "500", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "5000" ], [ "0", "0", "0", "0", "0", "0", "0", "5000", "0" ] ] }, { "column": 7, "swappedWith": 8, "pivot": "5000", "previousPivot": "500", "matrix": [ [ "1", "0", "0", "0", "0", "-2", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "-2", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "-2", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-2" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "50", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "500", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "5000", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "50000" ] ] } ] }, "real": { "squareFreePart": [ "-2", "0", "0", "0", "0", "1" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "-2", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "-2" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "-2" ], "quotient": [ "0", "0", "0", "0", "-5/2" ], "remainder": [ "0" ] } ], "sequence": [ [ "-2", "0", "0", "0", "0", "1" ], [ "0", "0", "0", "0", "5" ], [ "2" ] ], "divisions": [ { "dividend": [ "-2", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "-2" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "2" ], "quotient": [ "0", "0", "0", "0", "5/2" ], "remainder": [ "0" ] } ], "leftInfinity": [ -1, 1, 1 ], "rightInfinity": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "rootCount": 1, "bound": 3, "bits": 8, "intervalConvention": "(left,right]", "nodes": [ { "id": 0, "parent": null, "left": "-3", "right": "3", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 1, 2 ] }, { "id": 1, "parent": 0, "left": "-3", "right": "0", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ -1, 0, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 2, "parent": 0, "left": "0", "right": "3", "leftSigns": [ -1, 0, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 3, 4 ] }, { "id": 3, "parent": 2, "left": "0", "right": "3/2", "leftSigns": [ -1, 0, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 5, 6 ] }, { "id": 4, "parent": 2, "left": "3/2", "right": "3", "leftSigns": [ 1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 5, "parent": 3, "left": "0", "right": "3/4", "leftSigns": [ -1, 0, 1 ], "rightSigns": [ -1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 6, "parent": 3, "left": "3/4", "right": "3/2", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 7, 8 ] }, { "id": 7, "parent": 6, "left": "3/4", "right": "9/8", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ -1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 8, "parent": 6, "left": "9/8", "right": "3/2", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 9, 10 ] }, { "id": 9, "parent": 8, "left": "9/8", "right": "21/16", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 11, 12 ] }, { "id": 10, "parent": 8, "left": "21/16", "right": "3/2", "leftSigns": [ 1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 11, "parent": 9, "left": "9/8", "right": "39/32", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 13, 14 ] }, { "id": 12, "parent": 9, "left": "39/32", "right": "21/16", "leftSigns": [ 1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 13, "parent": 11, "left": "9/8", "right": "75/64", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 15, 16 ] }, { "id": 14, "parent": 11, "left": "75/64", "right": "39/32", "leftSigns": [ 1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 15, "parent": 13, "left": "9/8", "right": "147/128", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ -1, 1, 1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 16, "parent": 13, "left": "147/128", "right": "75/64", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 17, 18 ] }, { "id": 17, "parent": 16, "left": "147/128", "right": "297/256", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 19, 20 ] }, { "id": 18, "parent": 16, "left": "297/256", "right": "75/64", "leftSigns": [ 1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 19, "parent": 17, "left": "147/128", "right": "591/512", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [ 21, 22 ] }, { "id": 20, "parent": 17, "left": "591/512", "right": "297/256", "leftSigns": [ 1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] }, { "id": 21, "parent": 19, "left": "147/128", "right": "1179/1024", "leftSigns": [ -1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 1, "rightVariation": 0, "count": 1, "children": [] }, { "id": 22, "parent": 19, "left": "1179/1024", "right": "591/512", "leftSigns": [ 1, 1, 1 ], "rightSigns": [ 1, 1, 1 ], "leftVariation": 0, "rightVariation": 0, "count": 0, "children": [] } ], "leaves": [ 21 ] }, "reductions": [ { "prime": 2, "reduced": [ "0", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "1" ], "gcd": [ "0", "0", "0", "0", "1" ], "gcdSteps": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "1" ], "quotient": [ "0", "1" ], "remainder": [ "0" ] } ], "good": false, "factors": [ [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ] ], "degrees": [ 1, 1, 1, 1, 1 ], "divisions": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "1" ] }, { "dividend": [ "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] } ], "product": [ "0", "0", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 3, "reduced": [ "1", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "2" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "1", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "2" ], "quotient": [ "0", "2" ], "remainder": [ "1" ] }, { "dividend": [ "0", "0", "0", "0", "2" ], "divisor": [ "1" ], "quotient": [ "0", "0", "0", "0", "2" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "1", "1" ], [ "1", "2", "1", "2", "1" ] ], "degrees": [ 1, 4 ], "divisions": [ { "dividend": [ "1", "0", "0", "0", "0", "1" ], "factor": [ "1", "1" ], "quotient": [ "1", "2", "1", "2", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "1", "2", "1", "2", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "0", "1" ], [ "1", "2", "1", "2" ], [ "0", "0", "2" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 2, "difference": [ "1", "1", "1", "2" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "1", "2", "1", "2", "1" ], "divisor": [ "1", "1", "1", "2" ], "quotient": [ "0", "2" ], "remainder": [ "1", "0", "2" ] }, { "dividend": [ "1", "1", "1", "2" ], "divisor": [ "1", "0", "2" ], "quotient": [ "2", "1" ], "remainder": [ "2" ] }, { "dividend": [ "1", "0", "2" ], "divisor": [ "2" ], "quotient": [ "2", "0", "1" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "1", "0", "0", "0", "0", "1" ], "cycleType": "1,4" }, { "prime": 5, "reduced": [ "3", "0", "0", "0", "0", "1" ], "derivative": [ "0" ], "gcd": [ "3", "0", "0", "0", "0", "1" ], "gcdSteps": [], "good": false, "factors": [ [ "3", "1" ], [ "3", "1" ], [ "3", "1" ], [ "3", "1" ], [ "3", "1" ] ], "degrees": [ 1, 1, 1, 1, 1 ], "divisions": [ { "dividend": [ "3", "0", "0", "0", "0", "1" ], "factor": [ "3", "1" ], "quotient": [ "1", "3", "4", "2", "1" ] }, { "dividend": [ "1", "3", "4", "2", "1" ], "factor": [ "3", "1" ], "quotient": [ "2", "2", "4", "1" ] }, { "dividend": [ "2", "2", "4", "1" ], "factor": [ "3", "1" ], "quotient": [ "4", "1", "1" ] }, { "dividend": [ "4", "1", "1" ], "factor": [ "3", "1" ], "quotient": [ "3", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "3", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "3", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "3", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "3", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "3", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] } ], "product": [ "3", "0", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 7, "reduced": [ "5", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "5", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "3" ], "remainder": [ "5" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "5" ], "quotient": [ "0", "0", "0", "0", "1" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "1" ], [ "4", "1", "2", "4", "1" ] ], "degrees": [ 1, 4 ], "divisions": [ { "dividend": [ "5", "0", "0", "0", "0", "1" ], "factor": [ "3", "1" ], "quotient": [ "4", "1", "2", "4", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "3", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "4", "1", "2", "4", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "2" ], [ "3", "6", "5", "3" ], [ "0", "0", "0", "4" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 2, "difference": [ "3", "5", "5", "3" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "4", "1", "2", "4", "1" ], "divisor": [ "3", "5", "5", "3" ], "quotient": [ "0", "5" ], "remainder": [ "4", "0", "5" ] }, { "dividend": [ "3", "5", "5", "3" ], "divisor": [ "4", "0", "5" ], "quotient": [ "1", "2" ], "remainder": [ "6", "4" ] }, { "dividend": [ "4", "0", "5" ], "divisor": [ "6", "4" ], "quotient": [ "6", "3" ], "remainder": [ "3" ] }, { "dividend": [ "6", "4" ], "divisor": [ "3" ], "quotient": [ "2", "6" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "5", "0", "0", "0", "0", "1" ], "cycleType": "1,4" }, { "prime": 11, "reduced": [ "9", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "9", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "9" ], "remainder": [ "9" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "9" ], "quotient": [ "0", "0", "0", "0", "3" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "9", "0", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "9", "0", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "4" ], [ "0", "5" ], [ "0", "9" ], [ "0", "3" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "0", "3" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "9", "0", "0", "0", "0", "1" ], "divisor": [ "0", "3" ], "quotient": [ "0", "0", "0", "0", "4" ], "remainder": [ "9" ] }, { "dividend": [ "0", "3" ], "divisor": [ "9" ], "quotient": [ "0", "4" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "9", "0", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 13, "reduced": [ "11", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "11", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "8" ], "remainder": [ "11" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "11" ], "quotient": [ "0", "0", "0", "0", "4" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "7", "1" ], [ "9", "8", "10", "6", "1" ] ], "degrees": [ 1, 4 ], "divisions": [ { "dividend": [ "11", "0", "0", "0", "0", "1" ], "factor": [ "7", "1" ], "quotient": [ "9", "8", "10", "6", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "7", "1" ], "frobeniusRemainders": [ [ "6" ], [ "6" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "9", "8", "10", "6", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "0", "4" ], [ "7", "12", "2", "9" ], [ "0", "0", "11" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 2, "difference": [ "7", "11", "2", "9" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "9", "8", "10", "6", "1" ], "divisor": [ "7", "11", "2", "9" ], "quotient": [ "0", "3" ], "remainder": [ "9", "0", "3" ] }, { "dividend": [ "7", "11", "2", "9" ], "divisor": [ "9", "0", "3" ], "quotient": [ "5", "3" ], "remainder": [ "1", "10" ] }, { "dividend": [ "9", "0", "3" ], "divisor": [ "1", "10" ], "quotient": [ "4", "12" ], "remainder": [ "5" ] }, { "dividend": [ "1", "10" ], "divisor": [ "5" ], "quotient": [ "8", "2" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "11", "0", "0", "0", "0", "1" ], "cycleType": "1,4" }, { "prime": 17, "reduced": [ "15", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "15", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "7" ], "remainder": [ "15" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "15" ], "quotient": [ "0", "0", "0", "0", "6" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "2", "1" ], [ "16", "9", "4", "15", "1" ] ], "degrees": [ 1, 4 ], "divisions": [ { "dividend": [ "15", "0", "0", "0", "0", "1" ], "factor": [ "2", "1" ], "quotient": [ "16", "9", "4", "15", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "2", "1" ], "frobeniusRemainders": [ [ "15" ], [ "15" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "16", "9", "4", "15", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "8" ], [ "2", "16", "9", "4" ], [ "0", "0", "0", "13" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 2, "difference": [ "2", "15", "9", "4" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "16", "9", "4", "15", "1" ], "divisor": [ "2", "15", "9", "4" ], "quotient": [ "0", "13" ], "remainder": [ "16", "0", "13" ] }, { "dividend": [ "2", "15", "9", "4" ], "divisor": [ "16", "0", "13" ], "quotient": [ "2", "16" ], "remainder": [ "4", "14" ] }, { "dividend": [ "16", "0", "13" ], "divisor": [ "4", "14" ], "quotient": [ "15", "7" ], "remainder": [ "7" ] }, { "dividend": [ "4", "14" ], "divisor": [ "7" ], "quotient": [ "3", "2" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "15", "0", "0", "0", "0", "1" ], "cycleType": "1,4" }, { "prime": 19, "reduced": [ "17", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "17", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "4" ], "remainder": [ "17" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "17" ], "quotient": [ "0", "0", "0", "0", "7" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "4", "1" ], [ "16", "16", "1" ], [ "16", "18", "1" ] ], "degrees": [ 1, 2, 2 ], "divisions": [ { "dividend": [ "17", "0", "0", "0", "0", "1" ], "factor": [ "4", "1" ], "quotient": [ "9", "12", "16", "15", "1" ] }, { "dividend": [ "9", "12", "16", "15", "1" ], "factor": [ "16", "16", "1" ], "quotient": [ "16", "18", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "4", "1" ], "frobeniusRemainders": [ [ "15" ], [ "15" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "16", "16", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "3", "18" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "3", "17" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "16", "16", "1" ], "divisor": [ "3", "17" ], "quotient": [ "15", "9" ], "remainder": [ "9" ] }, { "dividend": [ "3", "17" ], "divisor": [ "9" ], "quotient": [ "13", "4" ], "remainder": [ "0" ] } ] } ] }, { "factor": [ "16", "18", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "1", "18" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "1", "17" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "16", "18", "1" ], "divisor": [ "1", "17" ], "quotient": [ "5", "9" ], "remainder": [ "11" ] }, { "dividend": [ "1", "17" ], "divisor": [ "11" ], "quotient": [ "7", "5" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "17", "0", "0", "0", "0", "1" ], "cycleType": "1,2,2" }, { "prime": 23, "reduced": [ "21", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "21", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "14" ], "remainder": [ "21" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "21" ], "quotient": [ "0", "0", "0", "0", "9" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "17", "1" ], [ "8", "9", "13", "6", "1" ] ], "degrees": [ 1, 4 ], "divisions": [ { "dividend": [ "21", "0", "0", "0", "0", "1" ], "factor": [ "17", "1" ], "quotient": [ "8", "9", "13", "6", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "17", "1" ], "frobeniusRemainders": [ [ "6" ], [ "6" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "8", "9", "13", "6", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "0", "16" ], [ "17", "22", "19", "7" ], [ "0", "0", "4" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 2, "difference": [ "17", "21", "19", "7" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "8", "9", "13", "6", "1" ], "divisor": [ "17", "21", "19", "7" ], "quotient": [ "0", "10" ], "remainder": [ "8", "0", "10" ] }, { "dividend": [ "17", "21", "19", "7" ], "divisor": [ "8", "0", "10" ], "quotient": [ "18", "3" ], "remainder": [ "11", "20" ] }, { "dividend": [ "8", "0", "10" ], "divisor": [ "11", "20" ], "quotient": [ "21", "12" ], "remainder": [ "7" ] }, { "dividend": [ "11", "20" ], "divisor": [ "7" ], "quotient": [ "18", "16" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "21", "0", "0", "0", "0", "1" ], "cycleType": "1,4" }, { "prime": 29, "reduced": [ "27", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "27", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "5" ], "quotient": [ "0", "6" ], "remainder": [ "27" ] }, { "dividend": [ "0", "0", "0", "0", "5" ], "divisor": [ "27" ], "quotient": [ "0", "0", "0", "0", "12" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "8", "1" ], [ "6", "10", "1" ], [ "6", "11", "1" ] ], "degrees": [ 1, 2, 2 ], "divisions": [ { "dividend": [ "27", "0", "0", "0", "0", "1" ], "factor": [ "8", "1" ], "quotient": [ "7", "10", "6", "21", "1" ] }, { "dividend": [ "7", "10", "6", "21", "1" ], "factor": [ "6", "10", "1" ], "quotient": [ "6", "11", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "8", "1" ], "frobeniusRemainders": [ [ "21" ], [ "21" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "6", "10", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "19", "28" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "19", "27" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "6", "10", "1" ], "divisor": [ "19", "27" ], "quotient": [ "12", "14" ], "remainder": [ "10" ] }, { "dividend": [ "19", "27" ], "divisor": [ "10" ], "quotient": [ "28", "23" ], "remainder": [ "0" ] } ] } ] }, { "factor": [ "6", "11", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "18", "28" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "18", "27" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "6", "11", "1" ], "divisor": [ "18", "27" ], "quotient": [ "19", "14" ], "remainder": [ "12" ] }, { "dividend": [ "18", "27" ], "divisor": [ "12" ], "quotient": [ "16", "24" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "27", "0", "0", "0", "0", "1" ], "cycleType": "1,2,2" } ], "eisenstein": [ { "prime": 2, "divisible": [ true, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": true }, { "prime": 3, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 5, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 7, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 11, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 13, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 17, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 19, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 23, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 29, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false } ], "construction": { "kind": "binomial-quintic", "group": "F20", "radicand": 2, "ambientDegree": 20, "relations": { "alpha": [ -2, 0, 0, 0, 0, 1 ], "zeta": [ 1, 1, 1, 1, 1 ] }, "basis": [ { "alphaExponent": 0, "zetaExponent": 0 }, { "alphaExponent": 1, "zetaExponent": 0 }, { "alphaExponent": 2, "zetaExponent": 0 }, { "alphaExponent": 3, "zetaExponent": 0 }, { "alphaExponent": 4, "zetaExponent": 0 }, { "alphaExponent": 0, "zetaExponent": 1 }, { "alphaExponent": 1, "zetaExponent": 1 }, { "alphaExponent": 2, "zetaExponent": 1 }, { "alphaExponent": 3, "zetaExponent": 1 }, { "alphaExponent": 4, "zetaExponent": 1 }, { "alphaExponent": 0, "zetaExponent": 2 }, { "alphaExponent": 1, "zetaExponent": 2 }, { "alphaExponent": 2, "zetaExponent": 2 }, { "alphaExponent": 3, "zetaExponent": 2 }, { "alphaExponent": 4, "zetaExponent": 2 }, { "alphaExponent": 0, "zetaExponent": 3 }, { "alphaExponent": 1, "zetaExponent": 3 }, { "alphaExponent": 2, "zetaExponent": 3 }, { "alphaExponent": 3, "zetaExponent": 3 }, { "alphaExponent": 4, "zetaExponent": 3 } ], "roots": [ [ "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0" ], [ "0", "-1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "-1", "0", "0", "0" ] ], "polynomialProduct": [ [ "-2", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ] ], "generators": [ { "label": "r: α↦αζ；ζ↦ζ", "matrix": { "rows": 20, "cols": 20, "data": [ [ "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0" ], [ "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0" ] ] } }, { "label": "s: α↦α；ζ↦ζ²", "matrix": { "rows": 20, "cols": 20, "data": [ [ "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "1", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "1" ], [ "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "1", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "0", "-1", "0", "0", "0", "0", "0" ] ] } } ], "relationsVerified": [ "r^5=1", "s^4=1", "s r s^-1=r^2" ], "tower": [ { "generator": "ζ", "power": 5, "radicand": "1", "degree": 4, "condition": "取本原五次单位根" }, { "generator": "α", "power": 5, "radicand": "2", "degree": 5, "condition": "取α^5=a的任意根" } ] } }, "selectedPrime": 2, "evidence": [ { "kind": "cycle", "source": "prime", "prime": 3, "type": "1,4" }, { "kind": "cycle", "source": "prime", "prime": 7, "type": "1,4" }, { "kind": "cycle", "source": "prime", "prime": 11, "type": "5" }, { "kind": "cycle", "source": "complex-conjugation", "type": "1,2,2", "realRoots": 1, "complexPairs": 2 }, { "kind": "parity", "source": "discriminant", "square": false }, { "kind": "construction", "source": "binomial-quintic", "group": "F20" } ], "unusedEvidence": [ { "prime": 2, "reason": "约化有重因子，不能用此行作普通Frobenius循环型证据" }, { "prime": 5, "reason": "约化有重因子，不能用此行作普通Frobenius循环型证据" } ], "realConjugation": { "rootDegree": 5, "realCount": 1, "complexPairs": 2, "type": "1,2,2" }, "classification": { "applicable": true, "steps": [ { "evidence": { "kind": "cycle", "source": "prime", "prime": 3, "type": "1,4" }, "before": [ "C5", "D5", "F20", "A5", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [ { "group": "C5", "reason": "群中没有该循环型" }, { "group": "D5", "reason": "群中没有该循环型" }, { "group": "A5", "reason": "群中没有该循环型" } ] }, { "evidence": { "kind": "cycle", "source": "prime", "prime": 7, "type": "1,4" }, "before": [ "F20", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [] }, { "evidence": { "kind": "cycle", "source": "prime", "prime": 11, "type": "5" }, "before": [ "F20", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [] }, { "evidence": { "kind": "cycle", "source": "complex-conjugation", "type": "1,2,2", "realRoots": 1, "complexPairs": 2 }, "before": [ "F20", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [] }, { "evidence": { "kind": "parity", "source": "discriminant", "square": false }, "before": [ "F20", "S5" ], "remaining": [ "F20", "S5" ], "excluded": [] }, { "evidence": { "kind": "construction", "source": "binomial-quintic", "group": "F20" }, "before": [ "F20", "S5" ], "remaining": [ "F20" ], "excluded": [ { "group": "S5", "reason": "显式分裂域构造给出另一群" } ] } ], "remaining": [ "F20" ], "solvable": true, "exactGroup": "F20", "reason": "全部剩余候选可解，因此可由根式解" }, "candidateModels": [ { "id": "C5", "order": 5, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "labels": [ "()", "(1 2 3 4 5)", "(1 3 5 2 4)", "(1 4 2 5 3)", "(1 5 4 3 2)" ], "multiplication": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "inverses": [ 0, 4, 3, 2, 1 ], "cycleTypes": [ "1,1,1,1,1", "5", "5", "5", "5" ], "availableTypes": [ "1,1,1,1,1", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 0 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 0 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 4, 0, 0 ], [ 4, 1, 0 ], [ 4, 2, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "D5", "order": 10, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], [ 1, 0, 8, 9, 7, 6, 5, 4, 2, 3 ], [ 2, 3, 0, 1, 8, 9, 7, 6, 4, 5 ], [ 3, 2, 4, 5, 6, 7, 9, 8, 0, 1 ], [ 4, 5, 3, 2, 0, 1, 8, 9, 6, 7 ], [ 5, 4, 6, 7, 9, 8, 1, 0, 3, 2 ], [ 6, 7, 5, 4, 3, 2, 0, 1, 9, 8 ], [ 7, 6, 9, 8, 1, 0, 2, 3, 5, 4 ], [ 8, 9, 1, 0, 2, 3, 4, 5, 7, 6 ], [ 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 8, 4, 7, 6, 5, 3, 9 ], "cycleTypes": [ "1,1,1,1,1", "1,2,2", "1,2,2", "5", "1,2,2", "5", "1,2,2", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 7 ], [ 1, 3, 7 ], [ 1, 4, 3 ], [ 1, 5, 3 ], [ 1, 6, 8 ], [ 1, 7, 8 ], [ 1, 8, 5 ], [ 1, 9, 5 ], [ 2, 0, 0 ], [ 2, 1, 5 ], [ 2, 2, 0 ], [ 2, 3, 7 ], [ 2, 4, 7 ], [ 2, 5, 3 ], [ 2, 6, 3 ], [ 2, 7, 8 ], [ 2, 8, 5 ], [ 2, 9, 8 ], [ 3, 0, 0 ], [ 3, 1, 5 ], [ 3, 2, 5 ], [ 3, 3, 0 ], [ 3, 4, 5 ], [ 3, 5, 0 ], [ 3, 6, 5 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 3, 9, 5 ], [ 4, 0, 0 ], [ 4, 1, 8 ], [ 4, 2, 5 ], [ 4, 3, 7 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 7 ], [ 4, 7, 8 ], [ 4, 8, 5 ], [ 4, 9, 3 ], [ 5, 0, 0 ], [ 5, 1, 8 ], [ 5, 2, 8 ], [ 5, 3, 0 ], [ 5, 4, 8 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 5, 9, 8 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 8 ], [ 6, 3, 7 ], [ 6, 4, 5 ], [ 6, 5, 3 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 5 ], [ 6, 9, 7 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 3 ], [ 7, 3, 0 ], [ 7, 4, 3 ], [ 7, 5, 0 ], [ 7, 6, 3 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 7, 9, 3 ], [ 8, 0, 0 ], [ 8, 1, 7 ], [ 8, 2, 7 ], [ 8, 3, 0 ], [ 8, 4, 7 ], [ 8, 5, 0 ], [ 8, 6, 7 ], [ 8, 7, 0 ], [ 8, 8, 0 ], [ 8, 9, 7 ], [ 9, 0, 0 ], [ 9, 1, 7 ], [ 9, 2, 3 ], [ 9, 3, 7 ], [ 9, 4, 8 ], [ 9, 5, 3 ], [ 9, 6, 5 ], [ 9, 7, 8 ], [ 9, 8, 5 ], [ 9, 9, 0 ] ], "generators": [ 0, 3, 5, 7, 8 ], "next": [ 0, 3, 5, 7, 8 ], "words": { "0": [], "3": [ 3 ], "5": [ 5 ], "7": [ 7 ], "8": [ 8 ] } }, { "elements": [ 0, 3, 5, 7, 8 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 5, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 5, 0 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 5, 0, 0 ], [ 5, 3, 0 ], [ 5, 5, 0 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 7, 0, 0 ], [ 7, 3, 0 ], [ 7, 5, 0 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 8, 0, 0 ], [ 8, 3, 0 ], [ 8, 5, 0 ], [ 8, 7, 0 ], [ 8, 8, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "F20", "order": 20, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 2, 4, 1, 3 ], [ 0, 3, 1, 4, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 4, 2, 0, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 1, 3, 0 ], [ 3, 0, 2, 4, 1 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 1, 3, 0, 2 ], [ 4, 2, 0, 3, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 3 5 4)", "(2 4 5 3)", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 2 4 3)", "(1 2 5 4)", "(1 3 4 2)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 3 2 5)", "(1 4 5 2)", "(1 4 3 5)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5 3 4)", "(1 5 2 3)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], [ 1, 3, 0, 2, 8, 11, 9, 10, 16, 18, 17, 19, 4, 5, 7, 6, 12, 14, 15, 13 ], [ 2, 0, 3, 1, 12, 13, 15, 14, 4, 6, 7, 5, 16, 19, 17, 18, 8, 10, 9, 11 ], [ 3, 2, 1, 0, 16, 19, 18, 17, 12, 15, 14, 13, 8, 11, 10, 9, 4, 7, 6, 5 ], [ 4, 7, 6, 5, 0, 3, 2, 1, 17, 16, 19, 18, 13, 12, 15, 14, 9, 8, 11, 10 ], [ 5, 6, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12, 17, 18, 19, 16, 0, 1, 2, 3 ], [ 6, 4, 5, 7, 13, 12, 14, 15, 0, 2, 1, 3, 9, 10, 8, 11, 17, 19, 16, 18 ], [ 7, 5, 4, 6, 17, 18, 16, 19, 9, 11, 8, 10, 0, 3, 1, 2, 13, 15, 14, 12 ], [ 8, 10, 9, 11, 1, 2, 0, 3, 14, 12, 13, 15, 5, 4, 6, 7, 18, 16, 19, 17 ], [ 9, 8, 11, 10, 5, 4, 7, 6, 1, 0, 3, 2, 18, 17, 16, 19, 14, 13, 12, 15 ], [ 10, 11, 8, 9, 14, 15, 12, 13, 18, 19, 16, 17, 1, 2, 3, 0, 5, 6, 7, 4 ], [ 11, 9, 10, 8, 18, 17, 19, 16, 5, 7, 6, 4, 14, 15, 13, 12, 1, 3, 0, 2 ], [ 12, 14, 15, 13, 2, 1, 3, 0, 10, 8, 11, 9, 19, 16, 18, 17, 6, 4, 5, 7 ], [ 13, 15, 14, 12, 6, 7, 5, 4, 19, 17, 18, 16, 10, 9, 11, 8, 2, 0, 3, 1 ], [ 14, 13, 12, 15, 10, 9, 8, 11, 6, 5, 4, 7, 2, 1, 0, 3, 19, 18, 17, 16 ], [ 15, 12, 13, 14, 19, 16, 17, 18, 2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9 ], [ 16, 17, 18, 19, 3, 0, 1, 2, 7, 4, 5, 6, 11, 8, 9, 10, 15, 12, 13, 14 ], [ 17, 19, 16, 18, 7, 6, 4, 5, 15, 13, 12, 14, 3, 0, 2, 1, 11, 9, 10, 8 ], [ 18, 16, 19, 17, 11, 8, 10, 9, 3, 1, 2, 0, 15, 14, 12, 13, 7, 5, 4, 6 ], [ 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 4, 16, 8, 12, 6, 9, 15, 18, 7, 17, 14, 10, 5, 13, 11, 19 ], "cycleTypes": [ "1,1,1,1,1", "1,4", "1,4", "1,2,2", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "5", "1,4", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "1,4", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 5 ], [ 1, 5, 5 ], [ 1, 6, 5 ], [ 1, 7, 5 ], [ 1, 8, 10 ], [ 1, 9, 10 ], [ 1, 10, 10 ], [ 1, 11, 10 ], [ 1, 12, 15 ], [ 1, 13, 15 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 16 ], [ 1, 17, 16 ], [ 1, 18, 16 ], [ 1, 19, 16 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 10 ], [ 2, 5, 10 ], [ 2, 6, 10 ], [ 2, 7, 10 ], [ 2, 8, 16 ], [ 2, 9, 16 ], [ 2, 10, 16 ], [ 2, 11, 16 ], [ 2, 12, 5 ], [ 2, 13, 5 ], [ 2, 14, 5 ], [ 2, 15, 5 ], [ 2, 16, 15 ], [ 2, 17, 15 ], [ 2, 18, 15 ], [ 2, 19, 15 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 15 ], [ 3, 5, 15 ], [ 3, 6, 15 ], [ 3, 7, 15 ], [ 3, 8, 5 ], [ 3, 9, 5 ], [ 3, 10, 5 ], [ 3, 11, 5 ], [ 3, 12, 16 ], [ 3, 13, 16 ], [ 3, 14, 16 ], [ 3, 15, 16 ], [ 3, 16, 10 ], [ 3, 17, 10 ], [ 3, 18, 10 ], [ 3, 19, 10 ], [ 4, 0, 0 ], [ 4, 1, 16 ], [ 4, 2, 15 ], [ 4, 3, 10 ], [ 4, 4, 0 ], [ 4, 5, 15 ], [ 4, 6, 10 ], [ 4, 7, 5 ], [ 4, 8, 16 ], [ 4, 9, 15 ], [ 4, 10, 5 ], [ 4, 11, 0 ], [ 4, 12, 15 ], [ 4, 13, 10 ], [ 4, 14, 5 ], [ 4, 15, 16 ], [ 4, 16, 10 ], [ 4, 17, 5 ], [ 4, 18, 0 ], [ 4, 19, 16 ], [ 5, 0, 0 ], [ 5, 1, 16 ], [ 5, 2, 15 ], [ 5, 3, 10 ], [ 5, 4, 10 ], [ 5, 5, 0 ], [ 5, 6, 16 ], [ 5, 7, 15 ], [ 5, 8, 15 ], [ 5, 9, 10 ], [ 5, 10, 0 ], [ 5, 11, 16 ], [ 5, 12, 16 ], [ 5, 13, 15 ], [ 5, 14, 10 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 5, 17, 16 ], [ 5, 18, 15 ], [ 5, 19, 10 ], [ 6, 0, 0 ], [ 6, 1, 16 ], [ 6, 2, 15 ], [ 6, 3, 10 ], [ 6, 4, 15 ], [ 6, 5, 5 ], [ 6, 6, 0 ], [ 6, 7, 16 ], [ 6, 8, 0 ], [ 6, 9, 16 ], [ 6, 10, 10 ], [ 6, 11, 5 ], [ 6, 12, 10 ], [ 6, 13, 5 ], [ 6, 14, 0 ], [ 6, 15, 15 ], [ 6, 16, 16 ], [ 6, 17, 15 ], [ 6, 18, 10 ], [ 6, 19, 5 ], [ 7, 0, 0 ], [ 7, 1, 16 ], [ 7, 2, 15 ], [ 7, 3, 10 ], [ 7, 4, 16 ], [ 7, 5, 10 ], [ 7, 6, 5 ], [ 7, 7, 0 ], [ 7, 8, 10 ], [ 7, 9, 5 ], [ 7, 10, 16 ], [ 7, 11, 15 ], [ 7, 12, 0 ], [ 7, 13, 16 ], [ 7, 14, 15 ], [ 7, 15, 5 ], [ 7, 16, 15 ], [ 7, 17, 10 ], [ 7, 18, 5 ], [ 7, 19, 0 ], [ 8, 0, 0 ], [ 8, 1, 15 ], [ 8, 2, 5 ], [ 8, 3, 16 ], [ 8, 4, 5 ], [ 8, 5, 10 ], [ 8, 6, 0 ], [ 8, 7, 15 ], [ 8, 8, 0 ], [ 8, 9, 15 ], [ 8, 10, 16 ], [ 8, 11, 10 ], [ 8, 12, 16 ], [ 8, 13, 10 ], [ 8, 14, 0 ], [ 8, 15, 5 ], [ 8, 16, 15 ], [ 8, 17, 5 ], [ 8, 18, 16 ], [ 8, 19, 10 ], [ 9, 0, 0 ], [ 9, 1, 15 ], [ 9, 2, 5 ], [ 9, 3, 16 ], [ 9, 4, 10 ], [ 9, 5, 15 ], [ 9, 6, 5 ], [ 9, 7, 16 ], [ 9, 8, 10 ], [ 9, 9, 0 ], [ 9, 10, 5 ], [ 9, 11, 16 ], [ 9, 12, 10 ], [ 9, 13, 0 ], [ 9, 14, 15 ], [ 9, 15, 16 ], [ 9, 16, 10 ], [ 9, 17, 0 ], [ 9, 18, 15 ], [ 9, 19, 5 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 5 ], [ 10, 3, 16 ], [ 10, 4, 16 ], [ 10, 5, 0 ], [ 10, 6, 15 ], [ 10, 7, 5 ], [ 10, 8, 5 ], [ 10, 9, 16 ], [ 10, 10, 0 ], [ 10, 11, 15 ], [ 10, 12, 15 ], [ 10, 13, 5 ], [ 10, 14, 16 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 10, 17, 15 ], [ 10, 18, 5 ], [ 10, 19, 16 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 5 ], [ 11, 3, 16 ], [ 11, 4, 0 ], [ 11, 5, 5 ], [ 11, 6, 16 ], [ 11, 7, 10 ], [ 11, 8, 15 ], [ 11, 9, 5 ], [ 11, 10, 10 ], [ 11, 11, 0 ], [ 11, 12, 5 ], [ 11, 13, 16 ], [ 11, 14, 10 ], [ 11, 15, 15 ], [ 11, 16, 16 ], [ 11, 17, 10 ], [ 11, 18, 0 ], [ 11, 19, 15 ], [ 12, 0, 0 ], [ 12, 1, 10 ], [ 12, 2, 16 ], [ 12, 3, 5 ], [ 12, 4, 10 ], [ 12, 5, 5 ], [ 12, 6, 15 ], [ 12, 7, 0 ], [ 12, 8, 5 ], [ 12, 9, 15 ], [ 12, 10, 10 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 10 ], [ 12, 14, 16 ], [ 12, 15, 15 ], [ 12, 16, 16 ], [ 12, 17, 5 ], [ 12, 18, 15 ], [ 12, 19, 0 ], [ 13, 0, 0 ], [ 13, 1, 10 ], [ 13, 2, 16 ], [ 13, 3, 5 ], [ 13, 4, 15 ], [ 13, 5, 10 ], [ 13, 6, 16 ], [ 13, 7, 5 ], [ 13, 8, 15 ], [ 13, 9, 0 ], [ 13, 10, 16 ], [ 13, 11, 5 ], [ 13, 12, 15 ], [ 13, 13, 0 ], [ 13, 14, 10 ], [ 13, 15, 5 ], [ 13, 16, 15 ], [ 13, 17, 0 ], [ 13, 18, 10 ], [ 13, 19, 16 ], [ 14, 0, 0 ], [ 14, 1, 10 ], [ 14, 2, 16 ], [ 14, 3, 5 ], [ 14, 4, 16 ], [ 14, 5, 15 ], [ 14, 6, 0 ], [ 14, 7, 10 ], [ 14, 8, 0 ], [ 14, 9, 10 ], [ 14, 10, 5 ], [ 14, 11, 15 ], [ 14, 12, 5 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 16 ], [ 14, 16, 10 ], [ 14, 17, 16 ], [ 14, 18, 5 ], [ 14, 19, 15 ], [ 15, 0, 0 ], [ 15, 1, 10 ], [ 15, 2, 16 ], [ 15, 3, 5 ], [ 15, 4, 5 ], [ 15, 5, 0 ], [ 15, 6, 10 ], [ 15, 7, 16 ], [ 15, 8, 16 ], [ 15, 9, 5 ], [ 15, 10, 0 ], [ 15, 11, 10 ], [ 15, 12, 10 ], [ 15, 13, 16 ], [ 15, 14, 5 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 15, 17, 10 ], [ 15, 18, 16 ], [ 15, 19, 5 ], [ 16, 0, 0 ], [ 16, 1, 5 ], [ 16, 2, 10 ], [ 16, 3, 15 ], [ 16, 4, 15 ], [ 16, 5, 0 ], [ 16, 6, 5 ], [ 16, 7, 10 ], [ 16, 8, 10 ], [ 16, 9, 15 ], [ 16, 10, 0 ], [ 16, 11, 5 ], [ 16, 12, 5 ], [ 16, 13, 10 ], [ 16, 14, 15 ], [ 16, 15, 0 ], [ 16, 16, 0 ], [ 16, 17, 5 ], [ 16, 18, 10 ], [ 16, 19, 15 ], [ 17, 0, 0 ], [ 17, 1, 5 ], [ 17, 2, 10 ], [ 17, 3, 15 ], [ 17, 4, 16 ], [ 17, 5, 5 ], [ 17, 6, 10 ], [ 17, 7, 15 ], [ 17, 8, 16 ], [ 17, 9, 0 ], [ 17, 10, 10 ], [ 17, 11, 15 ], [ 17, 12, 16 ], [ 17, 13, 0 ], [ 17, 14, 5 ], [ 17, 15, 15 ], [ 17, 16, 16 ], [ 17, 17, 0 ], [ 17, 18, 5 ], [ 17, 19, 10 ], [ 18, 0, 0 ], [ 18, 1, 5 ], [ 18, 2, 10 ], [ 18, 3, 15 ], [ 18, 4, 0 ], [ 18, 5, 10 ], [ 18, 6, 15 ], [ 18, 7, 16 ], [ 18, 8, 5 ], [ 18, 9, 10 ], [ 18, 10, 16 ], [ 18, 11, 0 ], [ 18, 12, 10 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 5 ], [ 18, 16, 15 ], [ 18, 17, 16 ], [ 18, 18, 0 ], [ 18, 19, 5 ], [ 19, 0, 0 ], [ 19, 1, 5 ], [ 19, 2, 10 ], [ 19, 3, 15 ], [ 19, 4, 5 ], [ 19, 5, 15 ], [ 19, 6, 16 ], [ 19, 7, 0 ], [ 19, 8, 15 ], [ 19, 9, 16 ], [ 19, 10, 5 ], [ 19, 11, 10 ], [ 19, 12, 0 ], [ 19, 13, 5 ], [ 19, 14, 10 ], [ 19, 15, 16 ], [ 19, 16, 10 ], [ 19, 17, 15 ], [ 19, 18, 16 ], [ 19, 19, 0 ] ], "generators": [ 0, 5, 10, 15, 16 ], "next": [ 0, 5, 10, 15, 16 ], "words": { "0": [], "5": [ 5 ], "10": [ 10 ], "15": [ 15 ], "16": [ 16 ] } }, { "elements": [ 0, 5, 10, 15, 16 ], "commutators": [ [ 0, 0, 0 ], [ 0, 5, 0 ], [ 0, 10, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 5, 0, 0 ], [ 5, 5, 0 ], [ 5, 10, 0 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 10, 0, 0 ], [ 10, 5, 0 ], [ 10, 10, 0 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 15, 0, 0 ], [ 15, 5, 0 ], [ 15, 10, 0 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 16, 0, 0 ], [ 16, 5, 0 ], [ 16, 10, 0 ], [ 16, 15, 0 ], [ 16, 16, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "A5", "order": 60, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(3 4 5)", "(3 5 4)", "(2 3)(4 5)", "(2 3 4)", "(2 3 5)", "(2 4 3)", "(2 4 5)", "(2 4)(3 5)", "(2 5 3)", "(2 5 4)", "(2 5)(3 4)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5)", "(1 2 5 3 4)", "(1 3 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3)(4 5)", "(1 3 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 4 2 5)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5)", "(1 4)(3 5)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 5 4 3 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 3)", "(1 5 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], [ 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35 ], [ 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44 ], [ 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46 ], [ 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53 ], [ 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20 ], [ 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55 ], [ 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22 ], [ 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29 ], [ 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31 ], [ 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40 ], [ 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16 ], [ 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47 ], [ 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56 ], [ 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32 ], [ 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57 ], [ 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ], [ 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38 ], [ 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33 ], [ 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49 ], [ 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5 ], [ 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42 ], [ 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7 ], [ 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58 ], [ 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23 ], [ 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41 ], [ 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45 ], [ 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50 ], [ 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8 ], [ 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51 ], [ 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9 ], [ 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14 ], [ 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18 ], [ 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36 ], [ 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1 ], [ 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34 ], [ 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52 ], [ 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17 ], [ 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54 ], [ 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10 ], [ 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26 ], [ 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21 ], [ 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2 ], [ 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27 ], [ 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3 ], [ 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43 ], [ 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19 ], [ 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28 ], [ 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30 ], [ 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37 ], [ 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4 ], [ 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39 ], [ 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6 ], [ 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13 ], [ 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15 ], [ 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 6, 9, 4, 10, 8, 5, 7, 11, 12, 13, 14, 24, 48, 36, 26, 37, 50, 25, 49, 38, 15, 21, 18, 27, 39, 51, 30, 54, 45, 33, 42, 57, 17, 19, 23, 28, 52, 41, 34, 43, 58, 32, 56, 47, 16, 22, 20, 29, 40, 53, 31, 55, 46, 35, 44, 59 ], "cycleTypes": [ "1,1,1,1,1", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "1,2,2", "1,2,2", "1,2,2", "1,1,3", "5", "5", "5", "1,1,3", "5", "5", "1,1,3", "5", "1,1,3", "5", "5", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "5", "5", "1,2,2", "5", "5", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,3", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 11 ], [ 1, 4, 11 ], [ 1, 5, 11 ], [ 1, 6, 3 ], [ 1, 7, 3 ], [ 1, 8, 3 ], [ 1, 9, 8 ], [ 1, 10, 8 ], [ 1, 11, 8 ], [ 1, 12, 2 ], [ 1, 13, 2 ], [ 1, 14, 2 ], [ 1, 15, 28 ], [ 1, 16, 28 ], [ 1, 17, 28 ], [ 1, 18, 40 ], [ 1, 19, 40 ], [ 1, 20, 40 ], [ 1, 21, 51 ], [ 1, 22, 51 ], [ 1, 23, 51 ], [ 1, 24, 4 ], [ 1, 25, 4 ], [ 1, 26, 4 ], [ 1, 27, 53 ], [ 1, 28, 53 ], [ 1, 29, 53 ], [ 1, 30, 25 ], [ 1, 31, 25 ], [ 1, 32, 25 ], [ 1, 33, 23 ], [ 1, 34, 23 ], [ 1, 35, 23 ], [ 1, 36, 7 ], [ 1, 37, 7 ], [ 1, 38, 7 ], [ 1, 39, 27 ], [ 1, 40, 27 ], [ 1, 41, 27 ], [ 1, 42, 16 ], [ 1, 43, 16 ], [ 1, 44, 16 ], [ 1, 45, 36 ], [ 1, 46, 36 ], [ 1, 47, 36 ], [ 1, 48, 9 ], [ 1, 49, 9 ], [ 1, 50, 9 ], [ 1, 51, 41 ], [ 1, 52, 41 ], [ 1, 53, 41 ], [ 1, 54, 50 ], [ 1, 55, 50 ], [ 1, 56, 50 ], [ 1, 57, 18 ], [ 1, 58, 18 ], [ 1, 59, 18 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 8 ], [ 2, 4, 8 ], [ 2, 5, 8 ], [ 2, 6, 11 ], [ 2, 7, 11 ], [ 2, 8, 11 ], [ 2, 9, 3 ], [ 2, 10, 3 ], [ 2, 11, 3 ], [ 2, 12, 1 ], [ 2, 13, 1 ], [ 2, 14, 1 ], [ 2, 15, 29 ], [ 2, 16, 29 ], [ 2, 17, 29 ], [ 2, 18, 39 ], [ 2, 19, 39 ], [ 2, 20, 39 ], [ 2, 21, 52 ], [ 2, 22, 52 ], [ 2, 23, 52 ], [ 2, 24, 5 ], [ 2, 25, 5 ], [ 2, 26, 5 ], [ 2, 27, 41 ], [ 2, 28, 41 ], [ 2, 29, 41 ], [ 2, 30, 20 ], [ 2, 31, 20 ], [ 2, 32, 20 ], [ 2, 33, 26 ], [ 2, 34, 26 ], [ 2, 35, 26 ], [ 2, 36, 6 ], [ 2, 37, 6 ], [ 2, 38, 6 ], [ 2, 39, 53 ], [ 2, 40, 53 ], [ 2, 41, 53 ], [ 2, 42, 38 ], [ 2, 43, 38 ], [ 2, 44, 38 ], [ 2, 45, 21 ], [ 2, 46, 21 ], [ 2, 47, 21 ], [ 2, 48, 10 ], [ 2, 49, 10 ], [ 2, 50, 10 ], [ 2, 51, 27 ], [ 2, 52, 27 ], [ 2, 53, 27 ], [ 2, 54, 17 ], [ 2, 55, 17 ], [ 2, 56, 17 ], [ 2, 57, 48 ], [ 2, 58, 48 ], [ 2, 59, 48 ], [ 3, 0, 0 ], [ 3, 1, 11 ], [ 3, 2, 8 ], [ 3, 3, 0 ], [ 3, 4, 8 ], [ 3, 5, 11 ], [ 3, 6, 11 ], [ 3, 7, 8 ], [ 3, 8, 0 ], [ 3, 9, 8 ], [ 3, 10, 11 ], [ 3, 11, 0 ], [ 3, 12, 15 ], [ 3, 13, 56 ], [ 3, 14, 44 ], [ 3, 15, 15 ], [ 3, 16, 44 ], [ 3, 17, 56 ], [ 3, 18, 56 ], [ 3, 19, 44 ], [ 3, 20, 15 ], [ 3, 21, 44 ], [ 3, 22, 56 ], [ 3, 23, 15 ], [ 3, 24, 24 ], [ 3, 25, 58 ], [ 3, 26, 46 ], [ 3, 27, 24 ], [ 3, 28, 46 ], [ 3, 29, 58 ], [ 3, 30, 58 ], [ 3, 31, 46 ], [ 3, 32, 24 ], [ 3, 33, 46 ], [ 3, 34, 58 ], [ 3, 35, 24 ], [ 3, 36, 25 ], [ 3, 37, 18 ], [ 3, 38, 40 ], [ 3, 39, 25 ], [ 3, 40, 40 ], [ 3, 41, 18 ], [ 3, 42, 18 ], [ 3, 43, 40 ], [ 3, 44, 25 ], [ 3, 45, 40 ], [ 3, 46, 18 ], [ 3, 47, 25 ], [ 3, 48, 26 ], [ 3, 49, 21 ], [ 3, 50, 52 ], [ 3, 51, 26 ], [ 3, 52, 52 ], [ 3, 53, 21 ], [ 3, 54, 21 ], [ 3, 55, 52 ], [ 3, 56, 26 ], [ 3, 57, 52 ], [ 3, 58, 21 ], [ 3, 59, 26 ], [ 4, 0, 0 ], [ 4, 1, 11 ], [ 4, 2, 8 ], [ 4, 3, 8 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 0 ], [ 4, 7, 3 ], [ 4, 8, 11 ], [ 4, 9, 11 ], [ 4, 10, 8 ], [ 4, 11, 3 ], [ 4, 12, 54 ], [ 4, 13, 43 ], [ 4, 14, 16 ], [ 4, 15, 43 ], [ 4, 16, 5 ], [ 4, 17, 54 ], [ 4, 18, 16 ], [ 4, 19, 43 ], [ 4, 20, 5 ], [ 4, 21, 54 ], [ 4, 22, 5 ], [ 4, 23, 16 ], [ 4, 24, 13 ], [ 4, 25, 56 ], [ 4, 26, 35 ], [ 4, 27, 35 ], [ 4, 28, 13 ], [ 4, 29, 1 ], [ 4, 30, 13 ], [ 4, 31, 1 ], [ 4, 32, 56 ], [ 4, 33, 56 ], [ 4, 34, 35 ], [ 4, 35, 1 ], [ 4, 36, 50 ], [ 4, 37, 30 ], [ 4, 38, 44 ], [ 4, 39, 30 ], [ 4, 40, 10 ], [ 4, 41, 50 ], [ 4, 42, 44 ], [ 4, 43, 30 ], [ 4, 44, 10 ], [ 4, 45, 50 ], [ 4, 46, 10 ], [ 4, 47, 44 ], [ 4, 48, 37 ], [ 4, 49, 15 ], [ 4, 50, 28 ], [ 4, 51, 28 ], [ 4, 52, 37 ], [ 4, 53, 6 ], [ 4, 54, 37 ], [ 4, 55, 6 ], [ 4, 56, 15 ], [ 4, 57, 15 ], [ 4, 58, 28 ], [ 4, 59, 6 ], [ 5, 0, 0 ], [ 5, 1, 11 ], [ 5, 2, 8 ], [ 5, 3, 11 ], [ 5, 4, 3 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 11 ], [ 5, 8, 3 ], [ 5, 9, 0 ], [ 5, 10, 3 ], [ 5, 11, 8 ], [ 5, 12, 42 ], [ 5, 13, 17 ], [ 5, 14, 55 ], [ 5, 15, 55 ], [ 5, 16, 42 ], [ 5, 17, 4 ], [ 5, 18, 42 ], [ 5, 19, 4 ], [ 5, 20, 17 ], [ 5, 21, 17 ], [ 5, 22, 55 ], [ 5, 23, 4 ], [ 5, 24, 14 ], [ 5, 25, 32 ], [ 5, 26, 44 ], [ 5, 27, 32 ], [ 5, 28, 2 ], [ 5, 29, 14 ], [ 5, 30, 44 ], [ 5, 31, 32 ], [ 5, 32, 2 ], [ 5, 33, 14 ], [ 5, 34, 2 ], [ 5, 35, 44 ], [ 5, 36, 49 ], [ 5, 37, 15 ], [ 5, 38, 29 ], [ 5, 39, 29 ], [ 5, 40, 49 ], [ 5, 41, 9 ], [ 5, 42, 49 ], [ 5, 43, 9 ], [ 5, 44, 15 ], [ 5, 45, 15 ], [ 5, 46, 29 ], [ 5, 47, 9 ], [ 5, 48, 38 ], [ 5, 49, 33 ], [ 5, 50, 56 ], [ 5, 51, 33 ], [ 5, 52, 7 ], [ 5, 53, 38 ], [ 5, 54, 56 ], [ 5, 55, 33 ], [ 5, 56, 7 ], [ 5, 57, 38 ], [ 5, 58, 7 ], [ 5, 59, 56 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 11 ], [ 6, 3, 11 ], [ 6, 4, 0 ], [ 6, 5, 8 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 3 ], [ 6, 9, 3 ], [ 6, 10, 11 ], [ 6, 11, 8 ], [ 6, 12, 20 ], [ 6, 13, 30 ], [ 6, 14, 58 ], [ 6, 15, 30 ], [ 6, 16, 7 ], [ 6, 17, 20 ], [ 6, 18, 58 ], [ 6, 19, 30 ], [ 6, 20, 7 ], [ 6, 21, 20 ], [ 6, 22, 7 ], [ 6, 23, 58 ], [ 6, 24, 43 ], [ 6, 25, 31 ], [ 6, 26, 48 ], [ 6, 27, 48 ], [ 6, 28, 43 ], [ 6, 29, 9 ], [ 6, 30, 43 ], [ 6, 31, 9 ], [ 6, 32, 31 ], [ 6, 33, 31 ], [ 6, 34, 48 ], [ 6, 35, 9 ], [ 6, 36, 46 ], [ 6, 37, 13 ], [ 6, 38, 57 ], [ 6, 39, 13 ], [ 6, 40, 2 ], [ 6, 41, 46 ], [ 6, 42, 57 ], [ 6, 43, 13 ], [ 6, 44, 2 ], [ 6, 45, 46 ], [ 6, 46, 2 ], [ 6, 47, 57 ], [ 6, 48, 39 ], [ 6, 49, 19 ], [ 6, 50, 24 ], [ 6, 51, 24 ], [ 6, 52, 39 ], [ 6, 53, 4 ], [ 6, 54, 39 ], [ 6, 55, 4 ], [ 6, 56, 19 ], [ 6, 57, 19 ], [ 6, 58, 24 ], [ 6, 59, 4 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 11 ], [ 7, 3, 8 ], [ 7, 4, 3 ], [ 7, 5, 11 ], [ 7, 6, 8 ], [ 7, 7, 0 ], [ 7, 8, 11 ], [ 7, 9, 8 ], [ 7, 10, 0 ], [ 7, 11, 3 ], [ 7, 12, 59 ], [ 7, 13, 18 ], [ 7, 14, 32 ], [ 7, 15, 6 ], [ 7, 16, 18 ], [ 7, 17, 32 ], [ 7, 18, 6 ], [ 7, 19, 59 ], [ 7, 20, 32 ], [ 7, 21, 6 ], [ 7, 22, 59 ], [ 7, 23, 18 ], [ 7, 24, 19 ], [ 7, 25, 40 ], [ 7, 26, 49 ], [ 7, 27, 10 ], [ 7, 28, 40 ], [ 7, 29, 49 ], [ 7, 30, 10 ], [ 7, 31, 19 ], [ 7, 32, 49 ], [ 7, 33, 10 ], [ 7, 34, 19 ], [ 7, 35, 40 ], [ 7, 36, 31 ], [ 7, 37, 12 ], [ 7, 38, 42 ], [ 7, 39, 1 ], [ 7, 40, 12 ], [ 7, 41, 42 ], [ 7, 42, 1 ], [ 7, 43, 31 ], [ 7, 44, 42 ], [ 7, 45, 1 ], [ 7, 46, 31 ], [ 7, 47, 12 ], [ 7, 48, 57 ], [ 7, 49, 47 ], [ 7, 50, 25 ], [ 7, 51, 5 ], [ 7, 52, 47 ], [ 7, 53, 25 ], [ 7, 54, 5 ], [ 7, 55, 57 ], [ 7, 56, 25 ], [ 7, 57, 5 ], [ 7, 58, 57 ], [ 7, 59, 47 ], [ 8, 0, 0 ], [ 8, 1, 3 ], [ 8, 2, 11 ], [ 8, 3, 0 ], [ 8, 4, 11 ], [ 8, 5, 3 ], [ 8, 6, 3 ], [ 8, 7, 11 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 3 ], [ 8, 11, 0 ], [ 8, 12, 31 ], [ 8, 13, 57 ], [ 8, 14, 19 ], [ 8, 15, 31 ], [ 8, 16, 19 ], [ 8, 17, 57 ], [ 8, 18, 57 ], [ 8, 19, 19 ], [ 8, 20, 31 ], [ 8, 21, 19 ], [ 8, 22, 57 ], [ 8, 23, 31 ], [ 8, 24, 17 ], [ 8, 25, 29 ], [ 8, 26, 38 ], [ 8, 27, 17 ], [ 8, 28, 38 ], [ 8, 29, 29 ], [ 8, 30, 29 ], [ 8, 31, 38 ], [ 8, 32, 17 ], [ 8, 33, 38 ], [ 8, 34, 29 ], [ 8, 35, 17 ], [ 8, 36, 35 ], [ 8, 37, 37 ], [ 8, 38, 54 ], [ 8, 39, 35 ], [ 8, 40, 54 ], [ 8, 41, 37 ], [ 8, 42, 37 ], [ 8, 43, 54 ], [ 8, 44, 35 ], [ 8, 45, 54 ], [ 8, 46, 37 ], [ 8, 47, 35 ], [ 8, 48, 51 ], [ 8, 49, 23 ], [ 8, 50, 36 ], [ 8, 51, 51 ], [ 8, 52, 36 ], [ 8, 53, 23 ], [ 8, 54, 23 ], [ 8, 55, 36 ], [ 8, 56, 51 ], [ 8, 57, 36 ], [ 8, 58, 23 ], [ 8, 59, 51 ], [ 9, 0, 0 ], [ 9, 1, 8 ], [ 9, 2, 3 ], [ 9, 3, 8 ], [ 9, 4, 11 ], [ 9, 5, 0 ], [ 9, 6, 3 ], [ 9, 7, 8 ], [ 9, 8, 11 ], [ 9, 9, 0 ], [ 9, 10, 11 ], [ 9, 11, 3 ], [ 9, 12, 23 ], [ 9, 13, 46 ], [ 9, 14, 33 ], [ 9, 15, 33 ], [ 9, 16, 23 ], [ 9, 17, 10 ], [ 9, 18, 23 ], [ 9, 19, 10 ], [ 9, 20, 46 ], [ 9, 21, 46 ], [ 9, 22, 33 ], [ 9, 23, 10 ], [ 9, 24, 55 ], [ 9, 25, 36 ], [ 9, 26, 34 ], [ 9, 27, 36 ], [ 9, 28, 6 ], [ 9, 29, 55 ], [ 9, 30, 34 ], [ 9, 31, 36 ], [ 9, 32, 6 ], [ 9, 33, 55 ], [ 9, 34, 6 ], [ 9, 35, 34 ], [ 9, 36, 51 ], [ 9, 37, 22 ], [ 9, 38, 24 ], [ 9, 39, 24 ], [ 9, 40, 51 ], [ 9, 41, 5 ], [ 9, 42, 51 ], [ 9, 43, 5 ], [ 9, 44, 22 ], [ 9, 45, 22 ], [ 9, 46, 24 ], [ 9, 47, 5 ], [ 9, 48, 58 ], [ 9, 49, 14 ], [ 9, 50, 45 ], [ 9, 51, 14 ], [ 9, 52, 1 ], [ 9, 53, 58 ], [ 9, 54, 45 ], [ 9, 55, 14 ], [ 9, 56, 1 ], [ 9, 57, 58 ], [ 9, 58, 1 ], [ 9, 59, 45 ], [ 10, 0, 0 ], [ 10, 1, 8 ], [ 10, 2, 3 ], [ 10, 3, 11 ], [ 10, 4, 8 ], [ 10, 5, 3 ], [ 10, 6, 11 ], [ 10, 7, 0 ], [ 10, 8, 3 ], [ 10, 9, 11 ], [ 10, 10, 0 ], [ 10, 11, 8 ], [ 10, 12, 47 ], [ 10, 13, 35 ], [ 10, 14, 21 ], [ 10, 15, 9 ], [ 10, 16, 35 ], [ 10, 17, 21 ], [ 10, 18, 9 ], [ 10, 19, 47 ], [ 10, 20, 21 ], [ 10, 21, 9 ], [ 10, 22, 47 ], [ 10, 23, 35 ], [ 10, 24, 22 ], [ 10, 25, 37 ], [ 10, 26, 52 ], [ 10, 27, 7 ], [ 10, 28, 37 ], [ 10, 29, 52 ], [ 10, 30, 7 ], [ 10, 31, 22 ], [ 10, 32, 52 ], [ 10, 33, 7 ], [ 10, 34, 22 ], [ 10, 35, 37 ], [ 10, 36, 45 ], [ 10, 37, 59 ], [ 10, 38, 26 ], [ 10, 39, 4 ], [ 10, 40, 59 ], [ 10, 41, 26 ], [ 10, 42, 4 ], [ 10, 43, 45 ], [ 10, 44, 26 ], [ 10, 45, 4 ], [ 10, 46, 45 ], [ 10, 47, 59 ], [ 10, 48, 34 ], [ 10, 49, 12 ], [ 10, 50, 54 ], [ 10, 51, 2 ], [ 10, 52, 12 ], [ 10, 53, 54 ], [ 10, 54, 2 ], [ 10, 55, 34 ], [ 10, 56, 54 ], [ 10, 57, 2 ], [ 10, 58, 34 ], [ 10, 59, 12 ], [ 11, 0, 0 ], [ 11, 1, 8 ], [ 11, 2, 3 ], [ 11, 3, 0 ], [ 11, 4, 3 ], [ 11, 5, 8 ], [ 11, 6, 8 ], [ 11, 7, 3 ], [ 11, 8, 0 ], [ 11, 9, 3 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 34 ], [ 11, 13, 22 ], [ 11, 14, 45 ], [ 11, 15, 34 ], [ 11, 16, 45 ], [ 11, 17, 22 ], [ 11, 18, 22 ], [ 11, 19, 45 ], [ 11, 20, 34 ], [ 11, 21, 45 ], [ 11, 22, 22 ], [ 11, 23, 34 ], [ 11, 24, 16 ], [ 11, 25, 50 ], [ 11, 26, 28 ], [ 11, 27, 16 ], [ 11, 28, 28 ], [ 11, 29, 50 ], [ 11, 30, 50 ], [ 11, 31, 28 ], [ 11, 32, 16 ], [ 11, 33, 28 ], [ 11, 34, 50 ], [ 11, 35, 16 ], [ 11, 36, 39 ], [ 11, 37, 20 ], [ 11, 38, 48 ], [ 11, 39, 39 ], [ 11, 40, 48 ], [ 11, 41, 20 ], [ 11, 42, 20 ], [ 11, 43, 48 ], [ 11, 44, 39 ], [ 11, 45, 48 ], [ 11, 46, 20 ], [ 11, 47, 39 ], [ 11, 48, 32 ], [ 11, 49, 49 ], [ 11, 50, 42 ], [ 11, 51, 32 ], [ 11, 52, 42 ], [ 11, 53, 49 ], [ 11, 54, 49 ], [ 11, 55, 42 ], [ 11, 56, 32 ], [ 11, 57, 42 ], [ 11, 58, 49 ], [ 11, 59, 32 ], [ 12, 0, 0 ], [ 12, 1, 1 ], [ 12, 2, 2 ], [ 12, 3, 24 ], [ 12, 4, 31 ], [ 12, 5, 34 ], [ 12, 6, 50 ], [ 12, 7, 59 ], [ 12, 8, 54 ], [ 12, 9, 38 ], [ 12, 10, 47 ], [ 12, 11, 42 ], [ 12, 12, 0 ], [ 12, 13, 1 ], [ 12, 14, 2 ], [ 12, 15, 15 ], [ 12, 16, 42 ], [ 12, 17, 54 ], [ 12, 18, 23 ], [ 12, 19, 47 ], [ 12, 20, 34 ], [ 12, 21, 20 ], [ 12, 22, 59 ], [ 12, 23, 31 ], [ 12, 24, 24 ], [ 12, 25, 31 ], [ 12, 26, 34 ], [ 12, 27, 15 ], [ 12, 28, 42 ], [ 12, 29, 54 ], [ 12, 30, 20 ], [ 12, 31, 38 ], [ 12, 32, 2 ], [ 12, 33, 23 ], [ 12, 34, 50 ], [ 12, 35, 1 ], [ 12, 36, 50 ], [ 12, 37, 59 ], [ 12, 38, 54 ], [ 12, 39, 23 ], [ 12, 40, 47 ], [ 12, 41, 34 ], [ 12, 42, 20 ], [ 12, 43, 38 ], [ 12, 44, 2 ], [ 12, 45, 15 ], [ 12, 46, 24 ], [ 12, 47, 0 ], [ 12, 48, 38 ], [ 12, 49, 47 ], [ 12, 50, 42 ], [ 12, 51, 20 ], [ 12, 52, 59 ], [ 12, 53, 31 ], [ 12, 54, 23 ], [ 12, 55, 50 ], [ 12, 56, 1 ], [ 12, 57, 15 ], [ 12, 58, 24 ], [ 12, 59, 0 ], [ 13, 0, 0 ], [ 13, 1, 1 ], [ 13, 2, 2 ], [ 13, 3, 46 ], [ 13, 4, 43 ], [ 13, 5, 36 ], [ 13, 6, 30 ], [ 13, 7, 26 ], [ 13, 8, 35 ], [ 13, 9, 56 ], [ 13, 10, 57 ], [ 13, 11, 49 ], [ 13, 12, 2 ], [ 13, 13, 0 ], [ 13, 14, 1 ], [ 13, 15, 30 ], [ 13, 16, 18 ], [ 13, 17, 57 ], [ 13, 18, 56 ], [ 13, 19, 43 ], [ 13, 20, 17 ], [ 13, 21, 46 ], [ 13, 22, 22 ], [ 13, 23, 35 ], [ 13, 24, 43 ], [ 13, 25, 36 ], [ 13, 26, 46 ], [ 13, 27, 57 ], [ 13, 28, 30 ], [ 13, 29, 18 ], [ 13, 30, 0 ], [ 13, 31, 22 ], [ 13, 32, 49 ], [ 13, 33, 26 ], [ 13, 34, 2 ], [ 13, 35, 17 ], [ 13, 36, 35 ], [ 13, 37, 30 ], [ 13, 38, 26 ], [ 13, 39, 43 ], [ 13, 40, 17 ], [ 13, 41, 56 ], [ 13, 42, 49 ], [ 13, 43, 0 ], [ 13, 44, 22 ], [ 13, 45, 1 ], [ 13, 46, 18 ], [ 13, 47, 36 ], [ 13, 48, 57 ], [ 13, 49, 49 ], [ 13, 50, 56 ], [ 13, 51, 35 ], [ 13, 52, 46 ], [ 13, 53, 22 ], [ 13, 54, 2 ], [ 13, 55, 17 ], [ 13, 56, 26 ], [ 13, 57, 36 ], [ 13, 58, 1 ], [ 13, 59, 18 ], [ 14, 0, 0 ], [ 14, 1, 1 ], [ 14, 2, 2 ], [ 14, 3, 58 ], [ 14, 4, 48 ], [ 14, 5, 55 ], [ 14, 6, 44 ], [ 14, 7, 45 ], [ 14, 8, 37 ], [ 14, 9, 33 ], [ 14, 10, 25 ], [ 14, 11, 32 ], [ 14, 12, 1 ], [ 14, 13, 2 ], [ 14, 14, 0 ], [ 14, 15, 33 ], [ 14, 16, 45 ], [ 14, 17, 21 ], [ 14, 18, 58 ], [ 14, 19, 19 ], [ 14, 20, 32 ], [ 14, 21, 44 ], [ 14, 22, 55 ], [ 14, 23, 16 ], [ 14, 24, 55 ], [ 14, 25, 58 ], [ 14, 26, 48 ], [ 14, 27, 45 ], [ 14, 28, 21 ], [ 14, 29, 33 ], [ 14, 30, 25 ], [ 14, 31, 1 ], [ 14, 32, 16 ], [ 14, 33, 0 ], [ 14, 34, 19 ], [ 14, 35, 37 ], [ 14, 36, 45 ], [ 14, 37, 37 ], [ 14, 38, 44 ], [ 14, 39, 32 ], [ 14, 40, 58 ], [ 14, 41, 19 ], [ 14, 42, 1 ], [ 14, 43, 16 ], [ 14, 44, 25 ], [ 14, 45, 48 ], [ 14, 46, 2 ], [ 14, 47, 21 ], [ 14, 48, 32 ], [ 14, 49, 33 ], [ 14, 50, 25 ], [ 14, 51, 55 ], [ 14, 52, 16 ], [ 14, 53, 44 ], [ 14, 54, 37 ], [ 14, 55, 0 ], [ 14, 56, 19 ], [ 14, 57, 2 ], [ 14, 58, 21 ], [ 14, 59, 48 ], [ 15, 0, 0 ], [ 15, 1, 39 ], [ 15, 2, 51 ], [ 15, 3, 24 ], [ 15, 4, 43 ], [ 15, 5, 55 ], [ 15, 6, 30 ], [ 15, 7, 4 ], [ 15, 8, 54 ], [ 15, 9, 33 ], [ 15, 10, 5 ], [ 15, 11, 42 ], [ 15, 12, 24 ], [ 15, 13, 30 ], [ 15, 14, 33 ], [ 15, 15, 0 ], [ 15, 16, 19 ], [ 15, 17, 22 ], [ 15, 18, 39 ], [ 15, 19, 13 ], [ 15, 20, 21 ], [ 15, 21, 51 ], [ 15, 22, 14 ], [ 15, 23, 18 ], [ 15, 24, 0 ], [ 15, 25, 4 ], [ 15, 26, 5 ], [ 15, 27, 24 ], [ 15, 28, 13 ], [ 15, 29, 14 ], [ 15, 30, 43 ], [ 15, 31, 19 ], [ 15, 32, 17 ], [ 15, 33, 55 ], [ 15, 34, 22 ], [ 15, 35, 16 ], [ 15, 36, 39 ], [ 15, 37, 43 ], [ 15, 38, 42 ], [ 15, 39, 30 ], [ 15, 40, 19 ], [ 15, 41, 18 ], [ 15, 42, 4 ], [ 15, 43, 13 ], [ 15, 44, 16 ], [ 15, 45, 54 ], [ 15, 46, 21 ], [ 15, 47, 17 ], [ 15, 48, 51 ], [ 15, 49, 55 ], [ 15, 50, 54 ], [ 15, 51, 33 ], [ 15, 52, 22 ], [ 15, 53, 21 ], [ 15, 54, 5 ], [ 15, 55, 14 ], [ 15, 56, 17 ], [ 15, 57, 42 ], [ 15, 58, 18 ], [ 15, 59, 16 ], [ 16, 0, 0 ], [ 16, 1, 39 ], [ 16, 2, 51 ], [ 16, 3, 58 ], [ 16, 4, 9 ], [ 16, 5, 34 ], [ 16, 6, 10 ], [ 16, 7, 26 ], [ 16, 8, 37 ], [ 16, 9, 38 ], [ 16, 10, 57 ], [ 16, 11, 32 ], [ 16, 12, 34 ], [ 16, 13, 26 ], [ 16, 14, 32 ], [ 16, 15, 37 ], [ 16, 16, 0 ], [ 16, 17, 10 ], [ 16, 18, 57 ], [ 16, 19, 38 ], [ 16, 20, 39 ], [ 16, 21, 9 ], [ 16, 22, 51 ], [ 16, 23, 58 ], [ 16, 24, 39 ], [ 16, 25, 37 ], [ 16, 26, 38 ], [ 16, 27, 32 ], [ 16, 28, 57 ], [ 16, 29, 58 ], [ 16, 30, 51 ], [ 16, 31, 9 ], [ 16, 32, 0 ], [ 16, 33, 10 ], [ 16, 34, 26 ], [ 16, 35, 34 ], [ 16, 36, 51 ], [ 16, 37, 58 ], [ 16, 38, 57 ], [ 16, 39, 34 ], [ 16, 40, 10 ], [ 16, 41, 9 ], [ 16, 42, 38 ], [ 16, 43, 32 ], [ 16, 44, 26 ], [ 16, 45, 0 ], [ 16, 46, 37 ], [ 16, 47, 39 ], [ 16, 48, 0 ], [ 16, 49, 9 ], [ 16, 50, 10 ], [ 16, 51, 26 ], [ 16, 52, 37 ], [ 16, 53, 38 ], [ 16, 54, 39 ], [ 16, 55, 57 ], [ 16, 56, 51 ], [ 16, 57, 58 ], [ 16, 58, 34 ], [ 16, 59, 32 ], [ 17, 0, 0 ], [ 17, 1, 39 ], [ 17, 2, 51 ], [ 17, 3, 46 ], [ 17, 4, 31 ], [ 17, 5, 6 ], [ 17, 6, 50 ], [ 17, 7, 45 ], [ 17, 8, 35 ], [ 17, 9, 7 ], [ 17, 10, 25 ], [ 17, 11, 49 ], [ 17, 12, 31 ], [ 17, 13, 35 ], [ 17, 14, 25 ], [ 17, 15, 49 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 6 ], [ 17, 19, 39 ], [ 17, 20, 46 ], [ 17, 21, 45 ], [ 17, 22, 50 ], [ 17, 23, 51 ], [ 17, 24, 51 ], [ 17, 25, 50 ], [ 17, 26, 49 ], [ 17, 27, 35 ], [ 17, 28, 46 ], [ 17, 29, 45 ], [ 17, 30, 7 ], [ 17, 31, 25 ], [ 17, 32, 31 ], [ 17, 33, 39 ], [ 17, 34, 6 ], [ 17, 35, 0 ], [ 17, 36, 0 ], [ 17, 37, 6 ], [ 17, 38, 7 ], [ 17, 39, 25 ], [ 17, 40, 49 ], [ 17, 41, 50 ], [ 17, 42, 51 ], [ 17, 43, 45 ], [ 17, 44, 39 ], [ 17, 45, 46 ], [ 17, 46, 31 ], [ 17, 47, 35 ], [ 17, 48, 39 ], [ 17, 49, 46 ], [ 17, 50, 45 ], [ 17, 51, 31 ], [ 17, 52, 7 ], [ 17, 53, 6 ], [ 17, 54, 50 ], [ 17, 55, 35 ], [ 17, 56, 25 ], [ 17, 57, 0 ], [ 17, 58, 49 ], [ 17, 59, 51 ], [ 18, 0, 0 ], [ 18, 1, 52 ], [ 18, 2, 28 ], [ 18, 3, 46 ], [ 18, 4, 48 ], [ 18, 5, 34 ], [ 18, 6, 44 ], [ 18, 7, 4 ], [ 18, 8, 35 ], [ 18, 9, 38 ], [ 18, 10, 5 ], [ 18, 11, 49 ], [ 18, 12, 38 ], [ 18, 13, 46 ], [ 18, 14, 44 ], [ 18, 15, 28 ], [ 18, 16, 35 ], [ 18, 17, 4 ], [ 18, 18, 0 ], [ 18, 19, 49 ], [ 18, 20, 5 ], [ 18, 21, 52 ], [ 18, 22, 48 ], [ 18, 23, 34 ], [ 18, 24, 4 ], [ 18, 25, 5 ], [ 18, 26, 0 ], [ 18, 27, 48 ], [ 18, 28, 38 ], [ 18, 29, 49 ], [ 18, 30, 34 ], [ 18, 31, 28 ], [ 18, 32, 52 ], [ 18, 33, 46 ], [ 18, 34, 35 ], [ 18, 35, 44 ], [ 18, 36, 49 ], [ 18, 37, 52 ], [ 18, 38, 48 ], [ 18, 39, 35 ], [ 18, 40, 34 ], [ 18, 41, 46 ], [ 18, 42, 44 ], [ 18, 43, 5 ], [ 18, 44, 38 ], [ 18, 45, 4 ], [ 18, 46, 0 ], [ 18, 47, 28 ], [ 18, 48, 34 ], [ 18, 49, 35 ], [ 18, 50, 28 ], [ 18, 51, 5 ], [ 18, 52, 44 ], [ 18, 53, 4 ], [ 18, 54, 49 ], [ 18, 55, 52 ], [ 18, 56, 0 ], [ 18, 57, 38 ], [ 18, 58, 48 ], [ 18, 59, 46 ], [ 19, 0, 0 ], [ 19, 1, 52 ], [ 19, 2, 28 ], [ 19, 3, 58 ], [ 19, 4, 43 ], [ 19, 5, 6 ], [ 19, 6, 30 ], [ 19, 7, 59 ], [ 19, 8, 37 ], [ 19, 9, 7 ], [ 19, 10, 47 ], [ 19, 11, 32 ], [ 19, 12, 47 ], [ 19, 13, 43 ], [ 19, 14, 37 ], [ 19, 15, 13 ], [ 19, 16, 23 ], [ 19, 17, 28 ], [ 19, 18, 22 ], [ 19, 19, 0 ], [ 19, 20, 15 ], [ 19, 21, 17 ], [ 19, 22, 12 ], [ 19, 23, 52 ], [ 19, 24, 30 ], [ 19, 25, 32 ], [ 19, 26, 28 ], [ 19, 27, 17 ], [ 19, 28, 43 ], [ 19, 29, 15 ], [ 19, 30, 13 ], [ 19, 31, 20 ], [ 19, 32, 6 ], [ 19, 33, 18 ], [ 19, 34, 58 ], [ 19, 35, 23 ], [ 19, 36, 7 ], [ 19, 37, 0 ], [ 19, 38, 6 ], [ 19, 39, 13 ], [ 19, 40, 12 ], [ 19, 41, 37 ], [ 19, 42, 18 ], [ 19, 43, 30 ], [ 19, 44, 15 ], [ 19, 45, 22 ], [ 19, 46, 20 ], [ 19, 47, 59 ], [ 19, 48, 58 ], [ 19, 49, 59 ], [ 19, 50, 52 ], [ 19, 51, 22 ], [ 19, 52, 47 ], [ 19, 53, 23 ], [ 19, 54, 17 ], [ 19, 55, 20 ], [ 19, 56, 32 ], [ 19, 57, 18 ], [ 19, 58, 7 ], [ 19, 59, 12 ], [ 20, 0, 0 ], [ 20, 1, 52 ], [ 20, 2, 28 ], [ 20, 3, 24 ], [ 20, 4, 9 ], [ 20, 5, 36 ], [ 20, 6, 10 ], [ 20, 7, 45 ], [ 20, 8, 54 ], [ 20, 9, 56 ], [ 20, 10, 25 ], [ 20, 11, 42 ], [ 20, 12, 42 ], [ 20, 13, 36 ], [ 20, 14, 45 ], [ 20, 15, 25 ], [ 20, 16, 28 ], [ 20, 17, 56 ], [ 20, 18, 9 ], [ 20, 19, 24 ], [ 20, 20, 0 ], [ 20, 21, 54 ], [ 20, 22, 52 ], [ 20, 23, 10 ], [ 20, 24, 54 ], [ 20, 25, 56 ], [ 20, 26, 52 ], [ 20, 27, 10 ], [ 20, 28, 45 ], [ 20, 29, 9 ], [ 20, 30, 42 ], [ 20, 31, 36 ], [ 20, 32, 25 ], [ 20, 33, 28 ], [ 20, 34, 0 ], [ 20, 35, 24 ], [ 20, 36, 25 ], [ 20, 37, 28 ], [ 20, 38, 24 ], [ 20, 39, 56 ], [ 20, 40, 54 ], [ 20, 41, 42 ], [ 20, 42, 0 ], [ 20, 43, 52 ], [ 20, 44, 10 ], [ 20, 45, 36 ], [ 20, 46, 45 ], [ 20, 47, 9 ], [ 20, 48, 9 ], [ 20, 49, 10 ], [ 20, 50, 0 ], [ 20, 51, 24 ], [ 20, 52, 36 ], [ 20, 53, 25 ], [ 20, 54, 45 ], [ 20, 55, 42 ], [ 20, 56, 54 ], [ 20, 57, 52 ], [ 20, 58, 28 ], [ 20, 59, 56 ], [ 21, 0, 0 ], [ 21, 1, 29 ], [ 21, 2, 40 ], [ 21, 3, 58 ], [ 21, 4, 31 ], [ 21, 5, 36 ], [ 21, 6, 50 ], [ 21, 7, 4 ], [ 21, 8, 37 ], [ 21, 9, 56 ], [ 21, 10, 5 ], [ 21, 11, 32 ], [ 21, 12, 50 ], [ 21, 13, 56 ], [ 21, 14, 58 ], [ 21, 15, 29 ], [ 21, 16, 5 ], [ 21, 17, 32 ], [ 21, 18, 40 ], [ 21, 19, 36 ], [ 21, 20, 31 ], [ 21, 21, 0 ], [ 21, 22, 37 ], [ 21, 23, 4 ], [ 21, 24, 5 ], [ 21, 25, 0 ], [ 21, 26, 4 ], [ 21, 27, 36 ], [ 21, 28, 37 ], [ 21, 29, 50 ], [ 21, 30, 58 ], [ 21, 31, 32 ], [ 21, 32, 56 ], [ 21, 33, 31 ], [ 21, 34, 29 ], [ 21, 35, 40 ], [ 21, 36, 31 ], [ 21, 37, 32 ], [ 21, 38, 29 ], [ 21, 39, 4 ], [ 21, 40, 56 ], [ 21, 41, 5 ], [ 21, 42, 37 ], [ 21, 43, 40 ], [ 21, 44, 0 ], [ 21, 45, 50 ], [ 21, 46, 36 ], [ 21, 47, 58 ], [ 21, 48, 37 ], [ 21, 49, 40 ], [ 21, 50, 36 ], [ 21, 51, 32 ], [ 21, 52, 31 ], [ 21, 53, 58 ], [ 21, 54, 56 ], [ 21, 55, 4 ], [ 21, 56, 50 ], [ 21, 57, 5 ], [ 21, 58, 0 ], [ 21, 59, 29 ], [ 22, 0, 0 ], [ 22, 1, 29 ], [ 22, 2, 40 ], [ 22, 3, 46 ], [ 22, 4, 9 ], [ 22, 5, 55 ], [ 22, 6, 10 ], [ 22, 7, 59 ], [ 22, 8, 35 ], [ 22, 9, 33 ], [ 22, 10, 47 ], [ 22, 11, 49 ], [ 22, 12, 59 ], [ 22, 13, 49 ], [ 22, 14, 55 ], [ 22, 15, 14 ], [ 22, 16, 29 ], [ 22, 17, 20 ], [ 22, 18, 16 ], [ 22, 19, 12 ], [ 22, 20, 40 ], [ 22, 21, 19 ], [ 22, 22, 0 ], [ 22, 23, 15 ], [ 22, 24, 33 ], [ 22, 25, 29 ], [ 22, 26, 35 ], [ 22, 27, 16 ], [ 22, 28, 15 ], [ 22, 29, 55 ], [ 22, 30, 21 ], [ 22, 31, 46 ], [ 22, 32, 20 ], [ 22, 33, 14 ], [ 22, 34, 23 ], [ 22, 35, 9 ], [ 22, 36, 46 ], [ 22, 37, 47 ], [ 22, 38, 40 ], [ 22, 39, 19 ], [ 22, 40, 59 ], [ 22, 41, 20 ], [ 22, 42, 16 ], [ 22, 43, 23 ], [ 22, 44, 35 ], [ 22, 45, 21 ], [ 22, 46, 10 ], [ 22, 47, 12 ], [ 22, 48, 10 ], [ 22, 49, 0 ], [ 22, 50, 9 ], [ 22, 51, 14 ], [ 22, 52, 12 ], [ 22, 53, 49 ], [ 22, 54, 21 ], [ 22, 55, 33 ], [ 22, 56, 15 ], [ 22, 57, 19 ], [ 22, 58, 23 ], [ 22, 59, 47 ], [ 23, 0, 0 ], [ 23, 1, 29 ], [ 23, 2, 40 ], [ 23, 3, 24 ], [ 23, 4, 48 ], [ 23, 5, 6 ], [ 23, 6, 44 ], [ 23, 7, 26 ], [ 23, 8, 54 ], [ 23, 9, 7 ], [ 23, 10, 57 ], [ 23, 11, 42 ], [ 23, 12, 54 ], [ 23, 13, 57 ], [ 23, 14, 48 ], [ 23, 15, 26 ], [ 23, 16, 44 ], [ 23, 17, 29 ], [ 23, 18, 42 ], [ 23, 19, 40 ], [ 23, 20, 7 ], [ 23, 21, 6 ], [ 23, 22, 24 ], [ 23, 23, 0 ], [ 23, 24, 42 ], [ 23, 25, 40 ], [ 23, 26, 44 ], [ 23, 27, 7 ], [ 23, 28, 6 ], [ 23, 29, 57 ], [ 23, 30, 29 ], [ 23, 31, 0 ], [ 23, 32, 24 ], [ 23, 33, 54 ], [ 23, 34, 48 ], [ 23, 35, 26 ], [ 23, 36, 6 ], [ 23, 37, 7 ], [ 23, 38, 0 ], [ 23, 39, 24 ], [ 23, 40, 48 ], [ 23, 41, 26 ], [ 23, 42, 57 ], [ 23, 43, 54 ], [ 23, 44, 42 ], [ 23, 45, 40 ], [ 23, 46, 29 ], [ 23, 47, 44 ], [ 23, 48, 26 ], [ 23, 49, 29 ], [ 23, 50, 24 ], [ 23, 51, 44 ], [ 23, 52, 42 ], [ 23, 53, 54 ], [ 23, 54, 0 ], [ 23, 55, 40 ], [ 23, 56, 7 ], [ 23, 57, 48 ], [ 23, 58, 57 ], [ 23, 59, 6 ], [ 24, 0, 0 ], [ 24, 1, 6 ], [ 24, 2, 9 ], [ 24, 3, 15 ], [ 24, 4, 13 ], [ 24, 5, 14 ], [ 24, 6, 43 ], [ 24, 7, 37 ], [ 24, 8, 36 ], [ 24, 9, 55 ], [ 24, 10, 49 ], [ 24, 11, 48 ], [ 24, 12, 15 ], [ 24, 13, 43 ], [ 24, 14, 55 ], [ 24, 15, 0 ], [ 24, 16, 28 ], [ 24, 17, 29 ], [ 24, 18, 6 ], [ 24, 19, 30 ], [ 24, 20, 31 ], [ 24, 21, 9 ], [ 24, 22, 33 ], [ 24, 23, 34 ], [ 24, 24, 0 ], [ 24, 25, 37 ], [ 24, 26, 49 ], [ 24, 27, 15 ], [ 24, 28, 30 ], [ 24, 29, 33 ], [ 24, 30, 13 ], [ 24, 31, 28 ], [ 24, 32, 25 ], [ 24, 33, 14 ], [ 24, 34, 29 ], [ 24, 35, 26 ], [ 24, 36, 6 ], [ 24, 37, 13 ], [ 24, 38, 48 ], [ 24, 39, 43 ], [ 24, 40, 28 ], [ 24, 41, 34 ], [ 24, 42, 37 ], [ 24, 43, 30 ], [ 24, 44, 26 ], [ 24, 45, 36 ], [ 24, 46, 31 ], [ 24, 47, 25 ], [ 24, 48, 9 ], [ 24, 49, 14 ], [ 24, 50, 36 ], [ 24, 51, 55 ], [ 24, 52, 29 ], [ 24, 53, 31 ], [ 24, 54, 49 ], [ 24, 55, 33 ], [ 24, 56, 25 ], [ 24, 57, 48 ], [ 24, 58, 34 ], [ 24, 59, 26 ], [ 25, 0, 0 ], [ 25, 1, 6 ], [ 25, 2, 9 ], [ 25, 3, 44 ], [ 25, 4, 46 ], [ 25, 5, 45 ], [ 25, 6, 54 ], [ 25, 7, 52 ], [ 25, 8, 51 ], [ 25, 9, 17 ], [ 25, 10, 19 ], [ 25, 11, 20 ], [ 25, 12, 54 ], [ 25, 13, 17 ], [ 25, 14, 44 ], [ 25, 15, 6 ], [ 25, 16, 19 ], [ 25, 17, 20 ], [ 25, 18, 9 ], [ 25, 19, 45 ], [ 25, 20, 46 ], [ 25, 21, 0 ], [ 25, 22, 51 ], [ 25, 23, 52 ], [ 25, 24, 19 ], [ 25, 25, 0 ], [ 25, 26, 52 ], [ 25, 27, 45 ], [ 25, 28, 51 ], [ 25, 29, 54 ], [ 25, 30, 44 ], [ 25, 31, 20 ], [ 25, 32, 17 ], [ 25, 33, 46 ], [ 25, 34, 6 ], [ 25, 35, 9 ], [ 25, 36, 46 ], [ 25, 37, 20 ], [ 25, 38, 6 ], [ 25, 39, 52 ], [ 25, 40, 17 ], [ 25, 41, 19 ], [ 25, 42, 51 ], [ 25, 43, 9 ], [ 25, 44, 0 ], [ 25, 45, 54 ], [ 25, 46, 45 ], [ 25, 47, 44 ], [ 25, 48, 51 ], [ 25, 49, 9 ], [ 25, 50, 45 ], [ 25, 51, 20 ], [ 25, 52, 46 ], [ 25, 53, 44 ], [ 25, 54, 17 ], [ 25, 55, 52 ], [ 25, 56, 54 ], [ 25, 57, 19 ], [ 25, 58, 0 ], [ 25, 59, 6 ], [ 26, 0, 0 ], [ 26, 1, 6 ], [ 26, 2, 9 ], [ 26, 3, 56 ], [ 26, 4, 57 ], [ 26, 5, 58 ], [ 26, 6, 16 ], [ 26, 7, 22 ], [ 26, 8, 23 ], [ 26, 9, 42 ], [ 26, 10, 40 ], [ 26, 11, 39 ], [ 26, 12, 42 ], [ 26, 13, 56 ], [ 26, 14, 16 ], [ 26, 15, 9 ], [ 26, 16, 23 ], [ 26, 17, 22 ], [ 26, 18, 0 ], [ 26, 19, 39 ], [ 26, 20, 40 ], [ 26, 21, 6 ], [ 26, 22, 57 ], [ 26, 23, 58 ], [ 26, 24, 22 ], [ 26, 25, 40 ], [ 26, 26, 0 ], [ 26, 27, 57 ], [ 26, 28, 42 ], [ 26, 29, 39 ], [ 26, 30, 58 ], [ 26, 31, 9 ], [ 26, 32, 6 ], [ 26, 33, 56 ], [ 26, 34, 23 ], [ 26, 35, 16 ], [ 26, 36, 39 ], [ 26, 37, 6 ], [ 26, 38, 57 ], [ 26, 39, 23 ], [ 26, 40, 58 ], [ 26, 41, 56 ], [ 26, 42, 16 ], [ 26, 43, 40 ], [ 26, 44, 42 ], [ 26, 45, 22 ], [ 26, 46, 0 ], [ 26, 47, 9 ], [ 26, 48, 58 ], [ 26, 49, 23 ], [ 26, 50, 9 ], [ 26, 51, 40 ], [ 26, 52, 16 ], [ 26, 53, 22 ], [ 26, 54, 39 ], [ 26, 55, 6 ], [ 26, 56, 0 ], [ 26, 57, 42 ], [ 26, 58, 57 ], [ 26, 59, 56 ], [ 27, 0, 0 ], [ 27, 1, 53 ], [ 27, 2, 41 ], [ 27, 3, 15 ], [ 27, 4, 57 ], [ 27, 5, 45 ], [ 27, 6, 16 ], [ 27, 7, 7 ], [ 27, 8, 36 ], [ 27, 9, 17 ], [ 27, 10, 10 ], [ 27, 11, 48 ], [ 27, 12, 24 ], [ 27, 13, 35 ], [ 27, 14, 32 ], [ 27, 15, 15 ], [ 27, 16, 45 ], [ 27, 17, 57 ], [ 27, 18, 16 ], [ 27, 19, 36 ], [ 27, 20, 7 ], [ 27, 21, 17 ], [ 27, 22, 48 ], [ 27, 23, 10 ], [ 27, 24, 24 ], [ 27, 25, 32 ], [ 27, 26, 35 ], [ 27, 27, 0 ], [ 27, 28, 41 ], [ 27, 29, 53 ], [ 27, 30, 7 ], [ 27, 31, 36 ], [ 27, 32, 16 ], [ 27, 33, 10 ], [ 27, 34, 48 ], [ 27, 35, 17 ], [ 27, 36, 35 ], [ 27, 37, 32 ], [ 27, 38, 24 ], [ 27, 39, 53 ], [ 27, 40, 41 ], [ 27, 41, 0 ], [ 27, 42, 57 ], [ 27, 43, 45 ], [ 27, 44, 15 ], [ 27, 45, 48 ], [ 27, 46, 10 ], [ 27, 47, 17 ], [ 27, 48, 32 ], [ 27, 49, 35 ], [ 27, 50, 24 ], [ 27, 51, 41 ], [ 27, 52, 53 ], [ 27, 53, 0 ], [ 27, 54, 45 ], [ 27, 55, 57 ], [ 27, 56, 15 ], [ 27, 57, 36 ], [ 27, 58, 7 ], [ 27, 59, 16 ], [ 28, 0, 0 ], [ 28, 1, 53 ], [ 28, 2, 41 ], [ 28, 3, 56 ], [ 28, 4, 13 ], [ 28, 5, 1 ], [ 28, 6, 43 ], [ 28, 7, 52 ], [ 28, 8, 23 ], [ 28, 9, 4 ], [ 28, 10, 19 ], [ 28, 11, 39 ], [ 28, 12, 34 ], [ 28, 13, 30 ], [ 28, 14, 25 ], [ 28, 15, 13 ], [ 28, 16, 35 ], [ 28, 17, 56 ], [ 28, 18, 23 ], [ 28, 19, 43 ], [ 28, 20, 32 ], [ 28, 21, 19 ], [ 28, 22, 24 ], [ 28, 23, 4 ], [ 28, 24, 30 ], [ 28, 25, 29 ], [ 28, 26, 34 ], [ 28, 27, 41 ], [ 28, 28, 0 ], [ 28, 29, 27 ], [ 28, 30, 43 ], [ 28, 31, 32 ], [ 28, 32, 52 ], [ 28, 33, 39 ], [ 28, 34, 19 ], [ 28, 35, 24 ], [ 28, 36, 25 ], [ 28, 37, 30 ], [ 28, 38, 29 ], [ 28, 39, 0 ], [ 28, 40, 27 ], [ 28, 41, 53 ], [ 28, 42, 1 ], [ 28, 43, 13 ], [ 28, 44, 35 ], [ 28, 45, 4 ], [ 28, 46, 24 ], [ 28, 47, 39 ], [ 28, 48, 34 ], [ 28, 49, 29 ], [ 28, 50, 25 ], [ 28, 51, 53 ], [ 28, 52, 41 ], [ 28, 53, 27 ], [ 28, 54, 56 ], [ 28, 55, 35 ], [ 28, 56, 1 ], [ 28, 57, 52 ], [ 28, 58, 23 ], [ 28, 59, 32 ], [ 29, 0, 0 ], [ 29, 1, 53 ], [ 29, 2, 41 ], [ 29, 3, 44 ], [ 29, 4, 2 ], [ 29, 5, 14 ], [ 29, 6, 5 ], [ 29, 7, 22 ], [ 29, 8, 51 ], [ 29, 9, 55 ], [ 29, 10, 40 ], [ 29, 11, 20 ], [ 29, 12, 31 ], [ 29, 13, 26 ], [ 29, 14, 33 ], [ 29, 15, 14 ], [ 29, 16, 44 ], [ 29, 17, 32 ], [ 29, 18, 22 ], [ 29, 19, 24 ], [ 29, 20, 5 ], [ 29, 21, 20 ], [ 29, 22, 55 ], [ 29, 23, 35 ], [ 29, 24, 33 ], [ 29, 25, 31 ], [ 29, 26, 28 ], [ 29, 27, 53 ], [ 29, 28, 27 ], [ 29, 29, 0 ], [ 29, 30, 51 ], [ 29, 31, 22 ], [ 29, 32, 24 ], [ 29, 33, 55 ], [ 29, 34, 35 ], [ 29, 35, 40 ], [ 29, 36, 31 ], [ 29, 37, 28 ], [ 29, 38, 26 ], [ 29, 39, 41 ], [ 29, 40, 53 ], [ 29, 41, 27 ], [ 29, 42, 44 ], [ 29, 43, 32 ], [ 29, 44, 2 ], [ 29, 45, 40 ], [ 29, 46, 20 ], [ 29, 47, 35 ], [ 29, 48, 26 ], [ 29, 49, 33 ], [ 29, 50, 28 ], [ 29, 51, 0 ], [ 29, 52, 27 ], [ 29, 53, 41 ], [ 29, 54, 2 ], [ 29, 55, 14 ], [ 29, 56, 32 ], [ 29, 57, 5 ], [ 29, 58, 24 ], [ 29, 59, 51 ], [ 30, 0, 0 ], [ 30, 1, 21 ], [ 30, 2, 50 ], [ 30, 3, 44 ], [ 30, 4, 13 ], [ 30, 5, 58 ], [ 30, 6, 43 ], [ 30, 7, 7 ], [ 30, 8, 51 ], [ 30, 9, 42 ], [ 30, 10, 10 ], [ 30, 11, 20 ], [ 30, 12, 50 ], [ 30, 13, 0 ], [ 30, 14, 21 ], [ 30, 15, 43 ], [ 30, 16, 29 ], [ 30, 17, 10 ], [ 30, 18, 42 ], [ 30, 19, 13 ], [ 30, 20, 34 ], [ 30, 21, 44 ], [ 30, 22, 25 ], [ 30, 23, 51 ], [ 30, 24, 13 ], [ 30, 25, 58 ], [ 30, 26, 44 ], [ 30, 27, 10 ], [ 30, 28, 43 ], [ 30, 29, 29 ], [ 30, 30, 0 ], [ 30, 31, 25 ], [ 30, 32, 20 ], [ 30, 33, 7 ], [ 30, 34, 50 ], [ 30, 35, 34 ], [ 30, 36, 51 ], [ 30, 37, 43 ], [ 30, 38, 7 ], [ 30, 39, 13 ], [ 30, 40, 34 ], [ 30, 41, 42 ], [ 30, 42, 20 ], [ 30, 43, 0 ], [ 30, 44, 25 ], [ 30, 45, 21 ], [ 30, 46, 29 ], [ 30, 47, 58 ], [ 30, 48, 10 ], [ 30, 49, 20 ], [ 30, 50, 42 ], [ 30, 51, 51 ], [ 30, 52, 44 ], [ 30, 53, 25 ], [ 30, 54, 50 ], [ 30, 55, 34 ], [ 30, 56, 7 ], [ 30, 57, 58 ], [ 30, 58, 21 ], [ 30, 59, 29 ], [ 31, 0, 0 ], [ 31, 1, 21 ], [ 31, 2, 50 ], [ 31, 3, 56 ], [ 31, 4, 2 ], [ 31, 5, 45 ], [ 31, 6, 5 ], [ 31, 7, 37 ], [ 31, 8, 23 ], [ 31, 9, 17 ], [ 31, 10, 49 ], [ 31, 11, 39 ], [ 31, 12, 23 ], [ 31, 13, 49 ], [ 31, 14, 2 ], [ 31, 15, 37 ], [ 31, 16, 5 ], [ 31, 17, 21 ], [ 31, 18, 39 ], [ 31, 19, 50 ], [ 31, 20, 17 ], [ 31, 21, 45 ], [ 31, 22, 56 ], [ 31, 23, 0 ], [ 31, 24, 39 ], [ 31, 25, 50 ], [ 31, 26, 5 ], [ 31, 27, 17 ], [ 31, 28, 45 ], [ 31, 29, 49 ], [ 31, 30, 21 ], [ 31, 31, 0 ], [ 31, 32, 56 ], [ 31, 33, 23 ], [ 31, 34, 2 ], [ 31, 35, 37 ], [ 31, 36, 45 ], [ 31, 37, 17 ], [ 31, 38, 0 ], [ 31, 39, 56 ], [ 31, 40, 2 ], [ 31, 41, 37 ], [ 31, 42, 49 ], [ 31, 43, 23 ], [ 31, 44, 39 ], [ 31, 45, 50 ], [ 31, 46, 21 ], [ 31, 47, 5 ], [ 31, 48, 37 ], [ 31, 49, 21 ], [ 31, 50, 56 ], [ 31, 51, 5 ], [ 31, 52, 39 ], [ 31, 53, 23 ], [ 31, 54, 0 ], [ 31, 55, 50 ], [ 31, 56, 17 ], [ 31, 57, 2 ], [ 31, 58, 49 ], [ 31, 59, 45 ], [ 32, 0, 0 ], [ 32, 1, 21 ], [ 32, 2, 50 ], [ 32, 3, 15 ], [ 32, 4, 46 ], [ 32, 5, 1 ], [ 32, 6, 54 ], [ 32, 7, 22 ], [ 32, 8, 36 ], [ 32, 9, 4 ], [ 32, 10, 40 ], [ 32, 11, 48 ], [ 32, 12, 1 ], [ 32, 13, 22 ], [ 32, 14, 48 ], [ 32, 15, 36 ], [ 32, 16, 0 ], [ 32, 17, 54 ], [ 32, 18, 40 ], [ 32, 19, 4 ], [ 32, 20, 21 ], [ 32, 21, 46 ], [ 32, 22, 50 ], [ 32, 23, 15 ], [ 32, 24, 21 ], [ 32, 25, 36 ], [ 32, 26, 4 ], [ 32, 27, 48 ], [ 32, 28, 40 ], [ 32, 29, 15 ], [ 32, 30, 50 ], [ 32, 31, 46 ], [ 32, 32, 0 ], [ 32, 33, 54 ], [ 32, 34, 22 ], [ 32, 35, 1 ], [ 32, 36, 50 ], [ 32, 37, 15 ], [ 32, 38, 40 ], [ 32, 39, 1 ], [ 32, 40, 54 ], [ 32, 41, 46 ], [ 32, 42, 4 ], [ 32, 43, 48 ], [ 32, 44, 22 ], [ 32, 45, 0 ], [ 32, 46, 36 ], [ 32, 47, 21 ], [ 32, 48, 0 ], [ 32, 49, 46 ], [ 32, 50, 54 ], [ 32, 51, 22 ], [ 32, 52, 36 ], [ 32, 53, 4 ], [ 32, 54, 21 ], [ 32, 55, 40 ], [ 32, 56, 50 ], [ 32, 57, 15 ], [ 32, 58, 1 ], [ 32, 59, 48 ], [ 33, 0, 0 ], [ 33, 1, 38 ], [ 33, 2, 18 ], [ 33, 3, 56 ], [ 33, 4, 46 ], [ 33, 5, 14 ], [ 33, 6, 54 ], [ 33, 7, 7 ], [ 33, 8, 23 ], [ 33, 9, 55 ], [ 33, 10, 10 ], [ 33, 11, 39 ], [ 33, 12, 38 ], [ 33, 13, 18 ], [ 33, 14, 0 ], [ 33, 15, 55 ], [ 33, 16, 7 ], [ 33, 17, 28 ], [ 33, 18, 56 ], [ 33, 19, 26 ], [ 33, 20, 39 ], [ 33, 21, 54 ], [ 33, 22, 14 ], [ 33, 23, 31 ], [ 33, 24, 14 ], [ 33, 25, 56 ], [ 33, 26, 46 ], [ 33, 27, 7 ], [ 33, 28, 28 ], [ 33, 29, 55 ], [ 33, 30, 10 ], [ 33, 31, 38 ], [ 33, 32, 31 ], [ 33, 33, 0 ], [ 33, 34, 26 ], [ 33, 35, 23 ], [ 33, 36, 7 ], [ 33, 37, 23 ], [ 33, 38, 54 ], [ 33, 39, 39 ], [ 33, 40, 56 ], [ 33, 41, 26 ], [ 33, 42, 38 ], [ 33, 43, 31 ], [ 33, 44, 10 ], [ 33, 45, 46 ], [ 33, 46, 18 ], [ 33, 47, 28 ], [ 33, 48, 39 ], [ 33, 49, 55 ], [ 33, 50, 10 ], [ 33, 51, 14 ], [ 33, 52, 31 ], [ 33, 53, 54 ], [ 33, 54, 23 ], [ 33, 55, 0 ], [ 33, 56, 26 ], [ 33, 57, 18 ], [ 33, 58, 28 ], [ 33, 59, 46 ], [ 34, 0, 0 ], [ 34, 1, 38 ], [ 34, 2, 18 ], [ 34, 3, 44 ], [ 34, 4, 57 ], [ 34, 5, 1 ], [ 34, 6, 16 ], [ 34, 7, 37 ], [ 34, 8, 51 ], [ 34, 9, 4 ], [ 34, 10, 49 ], [ 34, 11, 20 ], [ 34, 12, 20 ], [ 34, 13, 1 ], [ 34, 14, 37 ], [ 34, 15, 49 ], [ 34, 16, 18 ], [ 34, 17, 4 ], [ 34, 18, 57 ], [ 34, 19, 44 ], [ 34, 20, 0 ], [ 34, 21, 51 ], [ 34, 22, 38 ], [ 34, 23, 16 ], [ 34, 24, 51 ], [ 34, 25, 4 ], [ 34, 26, 38 ], [ 34, 27, 16 ], [ 34, 28, 37 ], [ 34, 29, 57 ], [ 34, 30, 20 ], [ 34, 31, 1 ], [ 34, 32, 49 ], [ 34, 33, 18 ], [ 34, 34, 0 ], [ 34, 35, 44 ], [ 34, 36, 49 ], [ 34, 37, 18 ], [ 34, 38, 44 ], [ 34, 39, 4 ], [ 34, 40, 51 ], [ 34, 41, 20 ], [ 34, 42, 0 ], [ 34, 43, 38 ], [ 34, 44, 16 ], [ 34, 45, 1 ], [ 34, 46, 37 ], [ 34, 47, 57 ], [ 34, 48, 57 ], [ 34, 49, 16 ], [ 34, 50, 0 ], [ 34, 51, 44 ], [ 34, 52, 1 ], [ 34, 53, 49 ], [ 34, 54, 37 ], [ 34, 55, 20 ], [ 34, 56, 51 ], [ 34, 57, 38 ], [ 34, 58, 18 ], [ 34, 59, 4 ], [ 35, 0, 0 ], [ 35, 1, 38 ], [ 35, 2, 18 ], [ 35, 3, 15 ], [ 35, 4, 2 ], [ 35, 5, 58 ], [ 35, 6, 5 ], [ 35, 7, 52 ], [ 35, 8, 36 ], [ 35, 9, 42 ], [ 35, 10, 19 ], [ 35, 11, 48 ], [ 35, 12, 2 ], [ 35, 13, 36 ], [ 35, 14, 19 ], [ 35, 15, 48 ], [ 35, 16, 42 ], [ 35, 17, 0 ], [ 35, 18, 58 ], [ 35, 19, 38 ], [ 35, 20, 15 ], [ 35, 21, 52 ], [ 35, 22, 5 ], [ 35, 23, 18 ], [ 35, 24, 18 ], [ 35, 25, 5 ], [ 35, 26, 48 ], [ 35, 27, 36 ], [ 35, 28, 15 ], [ 35, 29, 52 ], [ 35, 30, 42 ], [ 35, 31, 19 ], [ 35, 32, 2 ], [ 35, 33, 38 ], [ 35, 34, 58 ], [ 35, 35, 0 ], [ 35, 36, 0 ], [ 35, 37, 58 ], [ 35, 38, 42 ], [ 35, 39, 19 ], [ 35, 40, 48 ], [ 35, 41, 5 ], [ 35, 42, 18 ], [ 35, 43, 52 ], [ 35, 44, 38 ], [ 35, 45, 15 ], [ 35, 46, 2 ], [ 35, 47, 36 ], [ 35, 48, 38 ], [ 35, 49, 15 ], [ 35, 50, 52 ], [ 35, 51, 2 ], [ 35, 52, 42 ], [ 35, 53, 58 ], [ 35, 54, 5 ], [ 35, 55, 36 ], [ 35, 56, 19 ], [ 35, 57, 0 ], [ 35, 58, 48 ], [ 35, 59, 18 ], [ 36, 0, 0 ], [ 36, 1, 10 ], [ 36, 2, 4 ], [ 36, 3, 21 ], [ 36, 4, 20 ], [ 36, 5, 22 ], [ 36, 6, 56 ], [ 36, 7, 54 ], [ 36, 8, 57 ], [ 36, 9, 29 ], [ 36, 10, 32 ], [ 36, 11, 28 ], [ 36, 12, 20 ], [ 36, 13, 57 ], [ 36, 14, 32 ], [ 36, 15, 28 ], [ 36, 16, 29 ], [ 36, 17, 0 ], [ 36, 18, 22 ], [ 36, 19, 10 ], [ 36, 20, 21 ], [ 36, 21, 54 ], [ 36, 22, 56 ], [ 36, 23, 4 ], [ 36, 24, 4 ], [ 36, 25, 56 ], [ 36, 26, 28 ], [ 36, 27, 57 ], [ 36, 28, 21 ], [ 36, 29, 54 ], [ 36, 30, 29 ], [ 36, 31, 32 ], [ 36, 32, 20 ], [ 36, 33, 10 ], [ 36, 34, 22 ], [ 36, 35, 0 ], [ 36, 36, 0 ], [ 36, 37, 22 ], [ 36, 38, 29 ], [ 36, 39, 32 ], [ 36, 40, 28 ], [ 36, 41, 56 ], [ 36, 42, 4 ], [ 36, 43, 54 ], [ 36, 44, 10 ], [ 36, 45, 21 ], [ 36, 46, 20 ], [ 36, 47, 57 ], [ 36, 48, 10 ], [ 36, 49, 21 ], [ 36, 50, 54 ], [ 36, 51, 20 ], [ 36, 52, 29 ], [ 36, 53, 22 ], [ 36, 54, 56 ], [ 36, 55, 57 ], [ 36, 56, 32 ], [ 36, 57, 0 ], [ 36, 58, 28 ], [ 36, 59, 4 ], [ 37, 0, 0 ], [ 37, 1, 10 ], [ 37, 2, 4 ], [ 37, 3, 26 ], [ 37, 4, 30 ], [ 37, 5, 24 ], [ 37, 6, 13 ], [ 37, 7, 12 ], [ 37, 8, 19 ], [ 37, 9, 49 ], [ 37, 10, 59 ], [ 37, 11, 50 ], [ 37, 12, 59 ], [ 37, 13, 30 ], [ 37, 14, 19 ], [ 37, 15, 43 ], [ 37, 16, 44 ], [ 37, 17, 4 ], [ 37, 18, 40 ], [ 37, 19, 0 ], [ 37, 20, 39 ], [ 37, 21, 45 ], [ 37, 22, 47 ], [ 37, 23, 10 ], [ 37, 24, 13 ], [ 37, 25, 50 ], [ 37, 26, 4 ], [ 37, 27, 45 ], [ 37, 28, 30 ], [ 37, 29, 39 ], [ 37, 30, 43 ], [ 37, 31, 36 ], [ 37, 32, 24 ], [ 37, 33, 38 ], [ 37, 34, 26 ], [ 37, 35, 44 ], [ 37, 36, 49 ], [ 37, 37, 0 ], [ 37, 38, 24 ], [ 37, 39, 43 ], [ 37, 40, 47 ], [ 37, 41, 19 ], [ 37, 42, 38 ], [ 37, 43, 13 ], [ 37, 44, 39 ], [ 37, 45, 40 ], [ 37, 46, 36 ], [ 37, 47, 12 ], [ 37, 48, 26 ], [ 37, 49, 12 ], [ 37, 50, 10 ], [ 37, 51, 40 ], [ 37, 52, 59 ], [ 37, 53, 44 ], [ 37, 54, 45 ], [ 37, 55, 36 ], [ 37, 56, 50 ], [ 37, 57, 38 ], [ 37, 58, 49 ], [ 37, 59, 47 ], [ 38, 0, 0 ], [ 38, 1, 10 ], [ 38, 2, 4 ], [ 38, 3, 52 ], [ 38, 4, 58 ], [ 38, 5, 51 ], [ 38, 6, 35 ], [ 38, 7, 34 ], [ 38, 8, 31 ], [ 38, 9, 15 ], [ 38, 10, 18 ], [ 38, 11, 16 ], [ 38, 12, 31 ], [ 38, 13, 18 ], [ 38, 14, 58 ], [ 38, 15, 34 ], [ 38, 16, 35 ], [ 38, 17, 10 ], [ 38, 18, 16 ], [ 38, 19, 4 ], [ 38, 20, 15 ], [ 38, 21, 51 ], [ 38, 22, 52 ], [ 38, 23, 0 ], [ 38, 24, 16 ], [ 38, 25, 4 ], [ 38, 26, 35 ], [ 38, 27, 15 ], [ 38, 28, 51 ], [ 38, 29, 18 ], [ 38, 30, 10 ], [ 38, 31, 0 ], [ 38, 32, 52 ], [ 38, 33, 31 ], [ 38, 34, 58 ], [ 38, 35, 34 ], [ 38, 36, 51 ], [ 38, 37, 15 ], [ 38, 38, 0 ], [ 38, 39, 52 ], [ 38, 40, 58 ], [ 38, 41, 34 ], [ 38, 42, 18 ], [ 38, 43, 31 ], [ 38, 44, 16 ], [ 38, 45, 4 ], [ 38, 46, 10 ], [ 38, 47, 35 ], [ 38, 48, 34 ], [ 38, 49, 10 ], [ 38, 50, 52 ], [ 38, 51, 35 ], [ 38, 52, 16 ], [ 38, 53, 31 ], [ 38, 54, 0 ], [ 38, 55, 4 ], [ 38, 56, 15 ], [ 38, 57, 58 ], [ 38, 58, 18 ], [ 38, 59, 51 ], [ 39, 0, 0 ], [ 39, 1, 27 ], [ 39, 2, 53 ], [ 39, 3, 21 ], [ 39, 4, 30 ], [ 39, 5, 51 ], [ 39, 6, 13 ], [ 39, 7, 2 ], [ 39, 8, 57 ], [ 39, 9, 15 ], [ 39, 10, 6 ], [ 39, 11, 28 ], [ 39, 12, 38 ], [ 39, 13, 43 ], [ 39, 14, 45 ], [ 39, 15, 30 ], [ 39, 16, 42 ], [ 39, 17, 21 ], [ 39, 18, 57 ], [ 39, 19, 13 ], [ 39, 20, 46 ], [ 39, 21, 6 ], [ 39, 22, 37 ], [ 39, 23, 15 ], [ 39, 24, 43 ], [ 39, 25, 40 ], [ 39, 26, 38 ], [ 39, 27, 53 ], [ 39, 28, 0 ], [ 39, 29, 41 ], [ 39, 30, 13 ], [ 39, 31, 46 ], [ 39, 32, 2 ], [ 39, 33, 28 ], [ 39, 34, 6 ], [ 39, 35, 37 ], [ 39, 36, 45 ], [ 39, 37, 43 ], [ 39, 38, 40 ], [ 39, 39, 0 ], [ 39, 40, 41 ], [ 39, 41, 27 ], [ 39, 42, 51 ], [ 39, 43, 30 ], [ 39, 44, 42 ], [ 39, 45, 15 ], [ 39, 46, 37 ], [ 39, 47, 28 ], [ 39, 48, 38 ], [ 39, 49, 40 ], [ 39, 50, 45 ], [ 39, 51, 27 ], [ 39, 52, 53 ], [ 39, 53, 41 ], [ 39, 54, 21 ], [ 39, 55, 42 ], [ 39, 56, 51 ], [ 39, 57, 2 ], [ 39, 58, 57 ], [ 39, 59, 46 ], [ 40, 0, 0 ], [ 40, 1, 27 ], [ 40, 2, 53 ], [ 40, 3, 52 ], [ 40, 4, 7 ], [ 40, 5, 22 ], [ 40, 6, 1 ], [ 40, 7, 12 ], [ 40, 8, 31 ], [ 40, 9, 29 ], [ 40, 10, 59 ], [ 40, 11, 16 ], [ 40, 12, 47 ], [ 40, 13, 36 ], [ 40, 14, 44 ], [ 40, 15, 37 ], [ 40, 16, 7 ], [ 40, 17, 22 ], [ 40, 18, 42 ], [ 40, 19, 12 ], [ 40, 20, 31 ], [ 40, 21, 46 ], [ 40, 22, 59 ], [ 40, 23, 16 ], [ 40, 24, 39 ], [ 40, 25, 36 ], [ 40, 26, 44 ], [ 40, 27, 41 ], [ 40, 28, 27 ], [ 40, 29, 53 ], [ 40, 30, 42 ], [ 40, 31, 1 ], [ 40, 32, 31 ], [ 40, 33, 46 ], [ 40, 34, 29 ], [ 40, 35, 16 ], [ 40, 36, 39 ], [ 40, 37, 47 ], [ 40, 38, 44 ], [ 40, 39, 41 ], [ 40, 40, 0 ], [ 40, 41, 53 ], [ 40, 42, 37 ], [ 40, 43, 52 ], [ 40, 44, 22 ], [ 40, 45, 46 ], [ 40, 46, 29 ], [ 40, 47, 59 ], [ 40, 48, 39 ], [ 40, 49, 47 ], [ 40, 50, 36 ], [ 40, 51, 41 ], [ 40, 52, 0 ], [ 40, 53, 27 ], [ 40, 54, 37 ], [ 40, 55, 52 ], [ 40, 56, 7 ], [ 40, 57, 42 ], [ 40, 58, 1 ], [ 40, 59, 12 ], [ 41, 0, 0 ], [ 41, 1, 27 ], [ 41, 2, 53 ], [ 41, 3, 26 ], [ 41, 4, 20 ], [ 41, 5, 5 ], [ 41, 6, 56 ], [ 41, 7, 34 ], [ 41, 8, 19 ], [ 41, 9, 9 ], [ 41, 10, 18 ], [ 41, 11, 50 ], [ 41, 12, 42 ], [ 41, 13, 46 ], [ 41, 14, 37 ], [ 41, 15, 26 ], [ 41, 16, 5 ], [ 41, 17, 20 ], [ 41, 18, 56 ], [ 41, 19, 19 ], [ 41, 20, 34 ], [ 41, 21, 9 ], [ 41, 22, 50 ], [ 41, 23, 18 ], [ 41, 24, 42 ], [ 41, 25, 37 ], [ 41, 26, 46 ], [ 41, 27, 0 ], [ 41, 28, 53 ], [ 41, 29, 27 ], [ 41, 30, 34 ], [ 41, 31, 19 ], [ 41, 32, 56 ], [ 41, 33, 18 ], [ 41, 34, 50 ], [ 41, 35, 9 ], [ 41, 36, 46 ], [ 41, 37, 37 ], [ 41, 38, 42 ], [ 41, 39, 27 ], [ 41, 40, 53 ], [ 41, 41, 0 ], [ 41, 42, 20 ], [ 41, 43, 5 ], [ 41, 44, 26 ], [ 41, 45, 50 ], [ 41, 46, 18 ], [ 41, 47, 9 ], [ 41, 48, 37 ], [ 41, 49, 46 ], [ 41, 50, 42 ], [ 41, 51, 53 ], [ 41, 52, 27 ], [ 41, 53, 0 ], [ 41, 54, 5 ], [ 41, 55, 20 ], [ 41, 56, 26 ], [ 41, 57, 19 ], [ 41, 58, 34 ], [ 41, 59, 56 ], [ 42, 0, 0 ], [ 42, 1, 48 ], [ 42, 2, 23 ], [ 42, 3, 26 ], [ 42, 4, 58 ], [ 42, 5, 22 ], [ 42, 6, 35 ], [ 42, 7, 2 ], [ 42, 8, 19 ], [ 42, 9, 29 ], [ 42, 10, 6 ], [ 42, 11, 50 ], [ 42, 12, 50 ], [ 42, 13, 22 ], [ 42, 14, 2 ], [ 42, 15, 6 ], [ 42, 16, 23 ], [ 42, 17, 29 ], [ 42, 18, 58 ], [ 42, 19, 26 ], [ 42, 20, 0 ], [ 42, 21, 19 ], [ 42, 22, 48 ], [ 42, 23, 35 ], [ 42, 24, 19 ], [ 42, 25, 29 ], [ 42, 26, 48 ], [ 42, 27, 35 ], [ 42, 28, 2 ], [ 42, 29, 58 ], [ 42, 30, 50 ], [ 42, 31, 22 ], [ 42, 32, 6 ], [ 42, 33, 23 ], [ 42, 34, 0 ], [ 42, 35, 26 ], [ 42, 36, 6 ], [ 42, 37, 23 ], [ 42, 38, 26 ], [ 42, 39, 29 ], [ 42, 40, 19 ], [ 42, 41, 50 ], [ 42, 42, 0 ], [ 42, 43, 48 ], [ 42, 44, 35 ], [ 42, 45, 22 ], [ 42, 46, 2 ], [ 42, 47, 58 ], [ 42, 48, 58 ], [ 42, 49, 35 ], [ 42, 50, 0 ], [ 42, 51, 26 ], [ 42, 52, 22 ], [ 42, 53, 6 ], [ 42, 54, 2 ], [ 42, 55, 50 ], [ 42, 56, 19 ], [ 42, 57, 48 ], [ 42, 58, 23 ], [ 42, 59, 29 ], [ 43, 0, 0 ], [ 43, 1, 48 ], [ 43, 2, 23 ], [ 43, 3, 52 ], [ 43, 4, 30 ], [ 43, 5, 5 ], [ 43, 6, 13 ], [ 43, 7, 54 ], [ 43, 8, 31 ], [ 43, 9, 9 ], [ 43, 10, 32 ], [ 43, 11, 16 ], [ 43, 12, 23 ], [ 43, 13, 0 ], [ 43, 14, 48 ], [ 43, 15, 13 ], [ 43, 16, 45 ], [ 43, 17, 32 ], [ 43, 18, 9 ], [ 43, 19, 30 ], [ 43, 20, 40 ], [ 43, 21, 52 ], [ 43, 22, 38 ], [ 43, 23, 31 ], [ 43, 24, 30 ], [ 43, 25, 5 ], [ 43, 26, 52 ], [ 43, 27, 32 ], [ 43, 28, 13 ], [ 43, 29, 45 ], [ 43, 30, 0 ], [ 43, 31, 38 ], [ 43, 32, 16 ], [ 43, 33, 54 ], [ 43, 34, 23 ], [ 43, 35, 40 ], [ 43, 36, 31 ], [ 43, 37, 13 ], [ 43, 38, 54 ], [ 43, 39, 30 ], [ 43, 40, 40 ], [ 43, 41, 9 ], [ 43, 42, 16 ], [ 43, 43, 0 ], [ 43, 44, 38 ], [ 43, 45, 48 ], [ 43, 46, 45 ], [ 43, 47, 5 ], [ 43, 48, 32 ], [ 43, 49, 16 ], [ 43, 50, 9 ], [ 43, 51, 31 ], [ 43, 52, 52 ], [ 43, 53, 38 ], [ 43, 54, 23 ], [ 43, 55, 40 ], [ 43, 56, 54 ], [ 43, 57, 5 ], [ 43, 58, 48 ], [ 43, 59, 45 ], [ 44, 0, 0 ], [ 44, 1, 48 ], [ 44, 2, 23 ], [ 44, 3, 21 ], [ 44, 4, 7 ], [ 44, 5, 24 ], [ 44, 6, 1 ], [ 44, 7, 34 ], [ 44, 8, 57 ], [ 44, 9, 49 ], [ 44, 10, 18 ], [ 44, 11, 28 ], [ 44, 12, 1 ], [ 44, 13, 49 ], [ 44, 14, 21 ], [ 44, 15, 48 ], [ 44, 16, 18 ], [ 44, 17, 28 ], [ 44, 18, 23 ], [ 44, 19, 24 ], [ 44, 20, 7 ], [ 44, 21, 0 ], [ 44, 22, 57 ], [ 44, 23, 34 ], [ 44, 24, 18 ], [ 44, 25, 0 ], [ 44, 26, 34 ], [ 44, 27, 24 ], [ 44, 28, 57 ], [ 44, 29, 1 ], [ 44, 30, 21 ], [ 44, 31, 28 ], [ 44, 32, 49 ], [ 44, 33, 7 ], [ 44, 34, 48 ], [ 44, 35, 23 ], [ 44, 36, 7 ], [ 44, 37, 28 ], [ 44, 38, 48 ], [ 44, 39, 34 ], [ 44, 40, 49 ], [ 44, 41, 18 ], [ 44, 42, 57 ], [ 44, 43, 23 ], [ 44, 44, 0 ], [ 44, 45, 1 ], [ 44, 46, 24 ], [ 44, 47, 21 ], [ 44, 48, 57 ], [ 44, 49, 23 ], [ 44, 50, 24 ], [ 44, 51, 28 ], [ 44, 52, 7 ], [ 44, 53, 21 ], [ 44, 54, 49 ], [ 44, 55, 34 ], [ 44, 56, 1 ], [ 44, 57, 18 ], [ 44, 58, 0 ], [ 44, 59, 48 ], [ 45, 0, 0 ], [ 45, 1, 17 ], [ 45, 2, 25 ], [ 45, 3, 52 ], [ 45, 4, 20 ], [ 45, 5, 24 ], [ 45, 6, 56 ], [ 45, 7, 2 ], [ 45, 8, 31 ], [ 45, 9, 49 ], [ 45, 10, 6 ], [ 45, 11, 16 ], [ 45, 12, 24 ], [ 45, 13, 2 ], [ 45, 14, 16 ], [ 45, 15, 31 ], [ 45, 16, 0 ], [ 45, 17, 56 ], [ 45, 18, 6 ], [ 45, 19, 49 ], [ 45, 20, 17 ], [ 45, 21, 20 ], [ 45, 22, 25 ], [ 45, 23, 52 ], [ 45, 24, 17 ], [ 45, 25, 31 ], [ 45, 26, 49 ], [ 45, 27, 16 ], [ 45, 28, 6 ], [ 45, 29, 52 ], [ 45, 30, 25 ], [ 45, 31, 20 ], [ 45, 32, 0 ], [ 45, 33, 56 ], [ 45, 34, 2 ], [ 45, 35, 24 ], [ 45, 36, 25 ], [ 45, 37, 52 ], [ 45, 38, 6 ], [ 45, 39, 24 ], [ 45, 40, 56 ], [ 45, 41, 20 ], [ 45, 42, 49 ], [ 45, 43, 16 ], [ 45, 44, 2 ], [ 45, 45, 0 ], [ 45, 46, 31 ], [ 45, 47, 17 ], [ 45, 48, 0 ], [ 45, 49, 20 ], [ 45, 50, 56 ], [ 45, 51, 2 ], [ 45, 52, 31 ], [ 45, 53, 49 ], [ 45, 54, 17 ], [ 45, 55, 6 ], [ 45, 56, 25 ], [ 45, 57, 52 ], [ 45, 58, 24 ], [ 45, 59, 16 ], [ 46, 0, 0 ], [ 46, 1, 17 ], [ 46, 2, 25 ], [ 46, 3, 26 ], [ 46, 4, 7 ], [ 46, 5, 51 ], [ 46, 6, 1 ], [ 46, 7, 54 ], [ 46, 8, 19 ], [ 46, 9, 15 ], [ 46, 10, 32 ], [ 46, 11, 50 ], [ 46, 12, 15 ], [ 46, 13, 26 ], [ 46, 14, 1 ], [ 46, 15, 25 ], [ 46, 16, 19 ], [ 46, 17, 54 ], [ 46, 18, 0 ], [ 46, 19, 50 ], [ 46, 20, 32 ], [ 46, 21, 17 ], [ 46, 22, 7 ], [ 46, 23, 51 ], [ 46, 24, 54 ], [ 46, 25, 32 ], [ 46, 26, 0 ], [ 46, 27, 7 ], [ 46, 28, 15 ], [ 46, 29, 50 ], [ 46, 30, 51 ], [ 46, 31, 25 ], [ 46, 32, 17 ], [ 46, 33, 26 ], [ 46, 34, 19 ], [ 46, 35, 1 ], [ 46, 36, 50 ], [ 46, 37, 17 ], [ 46, 38, 7 ], [ 46, 39, 19 ], [ 46, 40, 51 ], [ 46, 41, 26 ], [ 46, 42, 1 ], [ 46, 43, 32 ], [ 46, 44, 15 ], [ 46, 45, 54 ], [ 46, 46, 0 ], [ 46, 47, 25 ], [ 46, 48, 51 ], [ 46, 49, 19 ], [ 46, 50, 25 ], [ 46, 51, 32 ], [ 46, 52, 1 ], [ 46, 53, 54 ], [ 46, 54, 50 ], [ 46, 55, 17 ], [ 46, 56, 0 ], [ 46, 57, 15 ], [ 46, 58, 7 ], [ 46, 59, 26 ], [ 47, 0, 0 ], [ 47, 1, 17 ], [ 47, 2, 25 ], [ 47, 3, 21 ], [ 47, 4, 58 ], [ 47, 5, 5 ], [ 47, 6, 35 ], [ 47, 7, 12 ], [ 47, 8, 57 ], [ 47, 9, 9 ], [ 47, 10, 59 ], [ 47, 11, 28 ], [ 47, 12, 0 ], [ 47, 13, 17 ], [ 47, 14, 25 ], [ 47, 15, 36 ], [ 47, 16, 28 ], [ 47, 17, 57 ], [ 47, 18, 39 ], [ 47, 19, 59 ], [ 47, 20, 5 ], [ 47, 21, 44 ], [ 47, 22, 12 ], [ 47, 23, 58 ], [ 47, 24, 21 ], [ 47, 25, 58 ], [ 47, 26, 5 ], [ 47, 27, 36 ], [ 47, 28, 28 ], [ 47, 29, 57 ], [ 47, 30, 44 ], [ 47, 31, 9 ], [ 47, 32, 25 ], [ 47, 33, 39 ], [ 47, 34, 35 ], [ 47, 35, 17 ], [ 47, 36, 35 ], [ 47, 37, 12 ], [ 47, 38, 57 ], [ 47, 39, 39 ], [ 47, 40, 59 ], [ 47, 41, 5 ], [ 47, 42, 44 ], [ 47, 43, 9 ], [ 47, 44, 25 ], [ 47, 45, 36 ], [ 47, 46, 21 ], [ 47, 47, 0 ], [ 47, 48, 9 ], [ 47, 49, 59 ], [ 47, 50, 28 ], [ 47, 51, 44 ], [ 47, 52, 12 ], [ 47, 53, 58 ], [ 47, 54, 39 ], [ 47, 55, 35 ], [ 47, 56, 17 ], [ 47, 57, 36 ], [ 47, 58, 21 ], [ 47, 59, 0 ], [ 48, 0, 0 ], [ 48, 1, 5 ], [ 48, 2, 7 ], [ 48, 3, 18 ], [ 48, 4, 19 ], [ 48, 5, 23 ], [ 48, 6, 28 ], [ 48, 7, 35 ], [ 48, 8, 29 ], [ 48, 9, 44 ], [ 48, 10, 42 ], [ 48, 11, 45 ], [ 48, 12, 23 ], [ 48, 13, 35 ], [ 48, 14, 45 ], [ 48, 15, 29 ], [ 48, 16, 0 ], [ 48, 17, 28 ], [ 48, 18, 42 ], [ 48, 19, 44 ], [ 48, 20, 5 ], [ 48, 21, 19 ], [ 48, 22, 7 ], [ 48, 23, 18 ], [ 48, 24, 5 ], [ 48, 25, 29 ], [ 48, 26, 44 ], [ 48, 27, 45 ], [ 48, 28, 42 ], [ 48, 29, 18 ], [ 48, 30, 7 ], [ 48, 31, 19 ], [ 48, 32, 0 ], [ 48, 33, 28 ], [ 48, 34, 35 ], [ 48, 35, 23 ], [ 48, 36, 7 ], [ 48, 37, 18 ], [ 48, 38, 42 ], [ 48, 39, 23 ], [ 48, 40, 28 ], [ 48, 41, 19 ], [ 48, 42, 44 ], [ 48, 43, 45 ], [ 48, 44, 35 ], [ 48, 45, 0 ], [ 48, 46, 29 ], [ 48, 47, 5 ], [ 48, 48, 0 ], [ 48, 49, 19 ], [ 48, 50, 28 ], [ 48, 51, 35 ], [ 48, 52, 29 ], [ 48, 53, 44 ], [ 48, 54, 5 ], [ 48, 55, 42 ], [ 48, 56, 7 ], [ 48, 57, 18 ], [ 48, 58, 23 ], [ 48, 59, 45 ], [ 49, 0, 0 ], [ 49, 1, 5 ], [ 49, 2, 7 ], [ 49, 3, 25 ], [ 49, 4, 24 ], [ 49, 5, 33 ], [ 49, 6, 37 ], [ 49, 7, 47 ], [ 49, 8, 38 ], [ 49, 9, 14 ], [ 49, 10, 12 ], [ 49, 11, 22 ], [ 49, 12, 47 ], [ 49, 13, 22 ], [ 49, 14, 33 ], [ 49, 15, 55 ], [ 49, 16, 5 ], [ 49, 17, 56 ], [ 49, 18, 57 ], [ 49, 19, 59 ], [ 49, 20, 7 ], [ 49, 21, 52 ], [ 49, 22, 0 ], [ 49, 23, 51 ], [ 49, 24, 14 ], [ 49, 25, 5 ], [ 49, 26, 38 ], [ 49, 27, 57 ], [ 49, 28, 51 ], [ 49, 29, 33 ], [ 49, 30, 50 ], [ 49, 31, 25 ], [ 49, 32, 56 ], [ 49, 33, 55 ], [ 49, 34, 48 ], [ 49, 35, 24 ], [ 49, 36, 25 ], [ 49, 37, 12 ], [ 49, 38, 7 ], [ 49, 39, 52 ], [ 49, 40, 47 ], [ 49, 41, 56 ], [ 49, 42, 57 ], [ 49, 43, 48 ], [ 49, 44, 38 ], [ 49, 45, 50 ], [ 49, 46, 37 ], [ 49, 47, 59 ], [ 49, 48, 37 ], [ 49, 49, 0 ], [ 49, 50, 24 ], [ 49, 51, 55 ], [ 49, 52, 59 ], [ 49, 53, 22 ], [ 49, 54, 50 ], [ 49, 55, 14 ], [ 49, 56, 51 ], [ 49, 57, 52 ], [ 49, 58, 48 ], [ 49, 59, 12 ], [ 50, 0, 0 ], [ 50, 1, 5 ], [ 50, 2, 7 ], [ 50, 3, 40 ], [ 50, 4, 39 ], [ 50, 5, 46 ], [ 50, 6, 15 ], [ 50, 7, 21 ], [ 50, 8, 17 ], [ 50, 9, 32 ], [ 50, 10, 31 ], [ 50, 11, 34 ], [ 50, 12, 34 ], [ 50, 13, 46 ], [ 50, 14, 21 ], [ 50, 15, 31 ], [ 50, 16, 7 ], [ 50, 17, 32 ], [ 50, 18, 39 ], [ 50, 19, 40 ], [ 50, 20, 0 ], [ 50, 21, 17 ], [ 50, 22, 5 ], [ 50, 23, 15 ], [ 50, 24, 17 ], [ 50, 25, 32 ], [ 50, 26, 5 ], [ 50, 27, 15 ], [ 50, 28, 21 ], [ 50, 29, 39 ], [ 50, 30, 34 ], [ 50, 31, 46 ], [ 50, 32, 31 ], [ 50, 33, 7 ], [ 50, 34, 0 ], [ 50, 35, 40 ], [ 50, 36, 31 ], [ 50, 37, 7 ], [ 50, 38, 40 ], [ 50, 39, 32 ], [ 50, 40, 17 ], [ 50, 41, 34 ], [ 50, 42, 0 ], [ 50, 43, 5 ], [ 50, 44, 15 ], [ 50, 45, 46 ], [ 50, 46, 21 ], [ 50, 47, 39 ], [ 50, 48, 39 ], [ 50, 49, 15 ], [ 50, 50, 0 ], [ 50, 51, 40 ], [ 50, 52, 46 ], [ 50, 53, 31 ], [ 50, 54, 21 ], [ 50, 55, 34 ], [ 50, 56, 17 ], [ 50, 57, 5 ], [ 50, 58, 7 ], [ 50, 59, 32 ], [ 51, 0, 0 ], [ 51, 1, 41 ], [ 51, 2, 27 ], [ 51, 3, 18 ], [ 51, 4, 39 ], [ 51, 5, 33 ], [ 51, 6, 15 ], [ 51, 7, 9 ], [ 51, 8, 29 ], [ 51, 9, 14 ], [ 51, 10, 1 ], [ 51, 11, 45 ], [ 51, 12, 50 ], [ 51, 13, 57 ], [ 51, 14, 55 ], [ 51, 15, 33 ], [ 51, 16, 18 ], [ 51, 17, 54 ], [ 51, 18, 9 ], [ 51, 19, 49 ], [ 51, 20, 15 ], [ 51, 21, 45 ], [ 51, 22, 14 ], [ 51, 23, 58 ], [ 51, 24, 55 ], [ 51, 25, 50 ], [ 51, 26, 52 ], [ 51, 27, 41 ], [ 51, 28, 53 ], [ 51, 29, 0 ], [ 51, 30, 29 ], [ 51, 31, 9 ], [ 51, 32, 49 ], [ 51, 33, 14 ], [ 51, 34, 58 ], [ 51, 35, 1 ], [ 51, 36, 50 ], [ 51, 37, 52 ], [ 51, 38, 57 ], [ 51, 39, 27 ], [ 51, 40, 41 ], [ 51, 41, 53 ], [ 51, 42, 18 ], [ 51, 43, 54 ], [ 51, 44, 39 ], [ 51, 45, 1 ], [ 51, 46, 45 ], [ 51, 47, 58 ], [ 51, 48, 57 ], [ 51, 49, 55 ], [ 51, 50, 52 ], [ 51, 51, 0 ], [ 51, 52, 53 ], [ 51, 53, 27 ], [ 51, 54, 39 ], [ 51, 55, 33 ], [ 51, 56, 54 ], [ 51, 57, 15 ], [ 51, 58, 49 ], [ 51, 59, 29 ], [ 52, 0, 0 ], [ 52, 1, 41 ], [ 52, 2, 27 ], [ 52, 3, 40 ], [ 52, 4, 19 ], [ 52, 5, 10 ], [ 52, 6, 28 ], [ 52, 7, 47 ], [ 52, 8, 17 ], [ 52, 9, 2 ], [ 52, 10, 12 ], [ 52, 11, 34 ], [ 52, 12, 59 ], [ 52, 13, 56 ], [ 52, 14, 48 ], [ 52, 15, 49 ], [ 52, 16, 19 ], [ 52, 17, 10 ], [ 52, 18, 58 ], [ 52, 19, 47 ], [ 52, 20, 17 ], [ 52, 21, 54 ], [ 52, 22, 12 ], [ 52, 23, 34 ], [ 52, 24, 51 ], [ 52, 25, 56 ], [ 52, 26, 48 ], [ 52, 27, 53 ], [ 52, 28, 41 ], [ 52, 29, 27 ], [ 52, 30, 58 ], [ 52, 31, 28 ], [ 52, 32, 17 ], [ 52, 33, 54 ], [ 52, 34, 2 ], [ 52, 35, 34 ], [ 52, 36, 51 ], [ 52, 37, 59 ], [ 52, 38, 48 ], [ 52, 39, 53 ], [ 52, 40, 0 ], [ 52, 41, 27 ], [ 52, 42, 49 ], [ 52, 43, 40 ], [ 52, 44, 10 ], [ 52, 45, 54 ], [ 52, 46, 2 ], [ 52, 47, 12 ], [ 52, 48, 51 ], [ 52, 49, 59 ], [ 52, 50, 56 ], [ 52, 51, 53 ], [ 52, 52, 0 ], [ 52, 53, 41 ], [ 52, 54, 49 ], [ 52, 55, 40 ], [ 52, 56, 19 ], [ 52, 57, 58 ], [ 52, 58, 28 ], [ 52, 59, 47 ], [ 53, 0, 0 ], [ 53, 1, 41 ], [ 53, 2, 27 ], [ 53, 3, 25 ], [ 53, 4, 4 ], [ 53, 5, 23 ], [ 53, 6, 6 ], [ 53, 7, 21 ], [ 53, 8, 38 ], [ 53, 9, 44 ], [ 53, 10, 31 ], [ 53, 11, 22 ], [ 53, 12, 54 ], [ 53, 13, 49 ], [ 53, 14, 58 ], [ 53, 15, 25 ], [ 53, 16, 23 ], [ 53, 17, 4 ], [ 53, 18, 6 ], [ 53, 19, 38 ], [ 53, 20, 21 ], [ 53, 21, 44 ], [ 53, 22, 22 ], [ 53, 23, 31 ], [ 53, 24, 54 ], [ 53, 25, 58 ], [ 53, 26, 49 ], [ 53, 27, 0 ], [ 53, 28, 27 ], [ 53, 29, 41 ], [ 53, 30, 21 ], [ 53, 31, 38 ], [ 53, 32, 6 ], [ 53, 33, 31 ], [ 53, 34, 22 ], [ 53, 35, 44 ], [ 53, 36, 49 ], [ 53, 37, 58 ], [ 53, 38, 54 ], [ 53, 39, 41 ], [ 53, 40, 27 ], [ 53, 41, 0 ], [ 53, 42, 4 ], [ 53, 43, 23 ], [ 53, 44, 25 ], [ 53, 45, 22 ], [ 53, 46, 31 ], [ 53, 47, 44 ], [ 53, 48, 58 ], [ 53, 49, 49 ], [ 53, 50, 54 ], [ 53, 51, 27 ], [ 53, 52, 41 ], [ 53, 53, 0 ], [ 53, 54, 23 ], [ 53, 55, 4 ], [ 53, 56, 25 ], [ 53, 57, 38 ], [ 53, 58, 21 ], [ 53, 59, 6 ], [ 54, 0, 0 ], [ 54, 1, 20 ], [ 54, 2, 36 ], [ 54, 3, 25 ], [ 54, 4, 19 ], [ 54, 5, 46 ], [ 54, 6, 28 ], [ 54, 7, 9 ], [ 54, 8, 38 ], [ 54, 9, 32 ], [ 54, 10, 1 ], [ 54, 11, 22 ], [ 54, 12, 38 ], [ 54, 13, 1 ], [ 54, 14, 19 ], [ 54, 15, 9 ], [ 54, 16, 28 ], [ 54, 17, 20 ], [ 54, 18, 22 ], [ 54, 19, 36 ], [ 54, 20, 32 ], [ 54, 21, 46 ], [ 54, 22, 25 ], [ 54, 23, 0 ], [ 54, 24, 22 ], [ 54, 25, 36 ], [ 54, 26, 28 ], [ 54, 27, 32 ], [ 54, 28, 46 ], [ 54, 29, 1 ], [ 54, 30, 20 ], [ 54, 31, 0 ], [ 54, 32, 25 ], [ 54, 33, 38 ], [ 54, 34, 19 ], [ 54, 35, 9 ], [ 54, 36, 46 ], [ 54, 37, 32 ], [ 54, 38, 0 ], [ 54, 39, 25 ], [ 54, 40, 19 ], [ 54, 41, 9 ], [ 54, 42, 1 ], [ 54, 43, 38 ], [ 54, 44, 22 ], [ 54, 45, 36 ], [ 54, 46, 20 ], [ 54, 47, 28 ], [ 54, 48, 9 ], [ 54, 49, 20 ], [ 54, 50, 25 ], [ 54, 51, 28 ], [ 54, 52, 22 ], [ 54, 53, 38 ], [ 54, 54, 0 ], [ 54, 55, 36 ], [ 54, 56, 32 ], [ 54, 57, 19 ], [ 54, 58, 1 ], [ 54, 59, 46 ], [ 55, 0, 0 ], [ 55, 1, 20 ], [ 55, 2, 36 ], [ 55, 3, 40 ], [ 55, 4, 4 ], [ 55, 5, 33 ], [ 55, 6, 6 ], [ 55, 7, 35 ], [ 55, 8, 17 ], [ 55, 9, 14 ], [ 55, 10, 42 ], [ 55, 11, 34 ], [ 55, 12, 20 ], [ 55, 13, 36 ], [ 55, 14, 0 ], [ 55, 15, 14 ], [ 55, 16, 35 ], [ 55, 17, 57 ], [ 55, 18, 40 ], [ 55, 19, 50 ], [ 55, 20, 34 ], [ 55, 21, 6 ], [ 55, 22, 33 ], [ 55, 23, 52 ], [ 55, 24, 33 ], [ 55, 25, 40 ], [ 55, 26, 4 ], [ 55, 27, 35 ], [ 55, 28, 57 ], [ 55, 29, 14 ], [ 55, 30, 42 ], [ 55, 31, 20 ], [ 55, 32, 52 ], [ 55, 33, 0 ], [ 55, 34, 50 ], [ 55, 35, 17 ], [ 55, 36, 35 ], [ 55, 37, 17 ], [ 55, 38, 6 ], [ 55, 39, 34 ], [ 55, 40, 40 ], [ 55, 41, 50 ], [ 55, 42, 20 ], [ 55, 43, 52 ], [ 55, 44, 42 ], [ 55, 45, 4 ], [ 55, 46, 36 ], [ 55, 47, 57 ], [ 55, 48, 34 ], [ 55, 49, 14 ], [ 55, 50, 42 ], [ 55, 51, 33 ], [ 55, 52, 52 ], [ 55, 53, 6 ], [ 55, 54, 17 ], [ 55, 55, 0 ], [ 55, 56, 50 ], [ 55, 57, 36 ], [ 55, 58, 57 ], [ 55, 59, 4 ], [ 56, 0, 0 ], [ 56, 1, 20 ], [ 56, 2, 36 ], [ 56, 3, 18 ], [ 56, 4, 24 ], [ 56, 5, 10 ], [ 56, 6, 37 ], [ 56, 7, 21 ], [ 56, 8, 29 ], [ 56, 9, 2 ], [ 56, 10, 31 ], [ 56, 11, 45 ], [ 56, 12, 2 ], [ 56, 13, 18 ], [ 56, 14, 37 ], [ 56, 15, 36 ], [ 56, 16, 29 ], [ 56, 17, 21 ], [ 56, 18, 0 ], [ 56, 19, 45 ], [ 56, 20, 31 ], [ 56, 21, 20 ], [ 56, 22, 24 ], [ 56, 23, 10 ], [ 56, 24, 21 ], [ 56, 25, 31 ], [ 56, 26, 0 ], [ 56, 27, 24 ], [ 56, 28, 2 ], [ 56, 29, 45 ], [ 56, 30, 10 ], [ 56, 31, 36 ], [ 56, 32, 20 ], [ 56, 33, 18 ], [ 56, 34, 29 ], [ 56, 35, 37 ], [ 56, 36, 45 ], [ 56, 37, 20 ], [ 56, 38, 24 ], [ 56, 39, 29 ], [ 56, 40, 10 ], [ 56, 41, 18 ], [ 56, 42, 37 ], [ 56, 43, 31 ], [ 56, 44, 2 ], [ 56, 45, 21 ], [ 56, 46, 0 ], [ 56, 47, 36 ], [ 56, 48, 10 ], [ 56, 49, 29 ], [ 56, 50, 36 ], [ 56, 51, 31 ], [ 56, 52, 37 ], [ 56, 53, 21 ], [ 56, 54, 45 ], [ 56, 55, 20 ], [ 56, 56, 0 ], [ 56, 57, 2 ], [ 56, 58, 24 ], [ 56, 59, 18 ], [ 57, 0, 0 ], [ 57, 1, 26 ], [ 57, 2, 16 ], [ 57, 3, 40 ], [ 57, 4, 24 ], [ 57, 5, 23 ], [ 57, 6, 37 ], [ 57, 7, 9 ], [ 57, 8, 17 ], [ 57, 9, 44 ], [ 57, 10, 1 ], [ 57, 11, 34 ], [ 57, 12, 24 ], [ 57, 13, 17 ], [ 57, 14, 1 ], [ 57, 15, 34 ], [ 57, 16, 44 ], [ 57, 17, 0 ], [ 57, 18, 23 ], [ 57, 19, 26 ], [ 57, 20, 40 ], [ 57, 21, 9 ], [ 57, 22, 37 ], [ 57, 23, 16 ], [ 57, 24, 16 ], [ 57, 25, 37 ], [ 57, 26, 34 ], [ 57, 27, 17 ], [ 57, 28, 40 ], [ 57, 29, 9 ], [ 57, 30, 44 ], [ 57, 31, 1 ], [ 57, 32, 24 ], [ 57, 33, 26 ], [ 57, 34, 23 ], [ 57, 35, 0 ], [ 57, 36, 0 ], [ 57, 37, 23 ], [ 57, 38, 44 ], [ 57, 39, 1 ], [ 57, 40, 34 ], [ 57, 41, 37 ], [ 57, 42, 16 ], [ 57, 43, 9 ], [ 57, 44, 26 ], [ 57, 45, 40 ], [ 57, 46, 24 ], [ 57, 47, 17 ], [ 57, 48, 26 ], [ 57, 49, 40 ], [ 57, 50, 9 ], [ 57, 51, 24 ], [ 57, 52, 44 ], [ 57, 53, 23 ], [ 57, 54, 37 ], [ 57, 55, 17 ], [ 57, 56, 1 ], [ 57, 57, 0 ], [ 57, 58, 34 ], [ 57, 59, 16 ], [ 58, 0, 0 ], [ 58, 1, 26 ], [ 58, 2, 16 ], [ 58, 3, 25 ], [ 58, 4, 39 ], [ 58, 5, 10 ], [ 58, 6, 15 ], [ 58, 7, 35 ], [ 58, 8, 38 ], [ 58, 9, 2 ], [ 58, 10, 42 ], [ 58, 11, 22 ], [ 58, 12, 15 ], [ 58, 13, 2 ], [ 58, 14, 25 ], [ 58, 15, 26 ], [ 58, 16, 42 ], [ 58, 17, 22 ], [ 58, 18, 16 ], [ 58, 19, 10 ], [ 58, 20, 39 ], [ 58, 21, 0 ], [ 58, 22, 38 ], [ 58, 23, 35 ], [ 58, 24, 42 ], [ 58, 25, 0 ], [ 58, 26, 35 ], [ 58, 27, 10 ], [ 58, 28, 38 ], [ 58, 29, 15 ], [ 58, 30, 25 ], [ 58, 31, 22 ], [ 58, 32, 2 ], [ 58, 33, 39 ], [ 58, 34, 26 ], [ 58, 35, 16 ], [ 58, 36, 39 ], [ 58, 37, 22 ], [ 58, 38, 26 ], [ 58, 39, 35 ], [ 58, 40, 2 ], [ 58, 41, 42 ], [ 58, 42, 38 ], [ 58, 43, 16 ], [ 58, 44, 0 ], [ 58, 45, 15 ], [ 58, 46, 10 ], [ 58, 47, 25 ], [ 58, 48, 38 ], [ 58, 49, 16 ], [ 58, 50, 10 ], [ 58, 51, 22 ], [ 58, 52, 39 ], [ 58, 53, 25 ], [ 58, 54, 2 ], [ 58, 55, 35 ], [ 58, 56, 15 ], [ 58, 57, 42 ], [ 58, 58, 0 ], [ 58, 59, 26 ], [ 59, 0, 0 ], [ 59, 1, 26 ], [ 59, 2, 16 ], [ 59, 3, 18 ], [ 59, 4, 4 ], [ 59, 5, 46 ], [ 59, 6, 6 ], [ 59, 7, 47 ], [ 59, 8, 29 ], [ 59, 9, 32 ], [ 59, 10, 12 ], [ 59, 11, 45 ], [ 59, 12, 0 ], [ 59, 13, 26 ], [ 59, 14, 16 ], [ 59, 15, 48 ], [ 59, 16, 45 ], [ 59, 17, 29 ], [ 59, 18, 56 ], [ 59, 19, 12 ], [ 59, 20, 46 ], [ 59, 21, 51 ], [ 59, 22, 47 ], [ 59, 23, 4 ], [ 59, 24, 18 ], [ 59, 25, 4 ], [ 59, 26, 46 ], [ 59, 27, 48 ], [ 59, 28, 45 ], [ 59, 29, 29 ], [ 59, 30, 51 ], [ 59, 31, 32 ], [ 59, 32, 16 ], [ 59, 33, 56 ], [ 59, 34, 6 ], [ 59, 35, 26 ], [ 59, 36, 6 ], [ 59, 37, 47 ], [ 59, 38, 29 ], [ 59, 39, 56 ], [ 59, 40, 12 ], [ 59, 41, 46 ], [ 59, 42, 51 ], [ 59, 43, 32 ], [ 59, 44, 16 ], [ 59, 45, 48 ], [ 59, 46, 18 ], [ 59, 47, 0 ], [ 59, 48, 32 ], [ 59, 49, 12 ], [ 59, 50, 45 ], [ 59, 51, 51 ], [ 59, 52, 47 ], [ 59, 53, 4 ], [ 59, 54, 56 ], [ 59, 55, 6 ], [ 59, 56, 26 ], [ 59, 57, 48 ], [ 59, 58, 18 ], [ 59, 59, 0 ] ], "generators": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "next": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "words": { "0": [], "1": [ 1 ], "2": [ 2 ], "3": [ 3 ], "4": [ 4 ], "5": [ 5 ], "6": [ 6 ], "7": [ 7 ], "8": [ 8 ], "9": [ 9 ], "10": [ 10 ], "11": [ 11 ], "12": [ 12 ], "13": [ 13 ], "14": [ 14 ], "15": [ 15 ], "16": [ 16 ], "17": [ 17 ], "18": [ 18 ], "19": [ 19 ], "20": [ 20 ], "21": [ 21 ], "22": [ 22 ], "23": [ 23 ], "24": [ 24 ], "25": [ 25 ], "26": [ 26 ], "27": [ 27 ], "28": [ 28 ], "29": [ 29 ], "30": [ 30 ], "31": [ 31 ], "32": [ 32 ], "33": [ 33 ], "34": [ 34 ], "35": [ 35 ], "36": [ 36 ], "37": [ 37 ], "38": [ 38 ], "39": [ 39 ], "40": [ 40 ], "41": [ 41 ], "42": [ 42 ], "43": [ 43 ], "44": [ 44 ], "45": [ 45 ], "46": [ 46 ], "47": [ 47 ], "48": [ 48 ], "49": [ 49 ], "50": [ 50 ], "51": [ 51 ], "52": [ 52 ], "53": [ 53 ], "54": [ 54 ], "55": [ 55 ], "56": [ 56 ], "57": [ 57 ], "58": [ 58 ], "59": [ 59 ] } } ], "solvable": false, "affine": false }, { "id": "S5", "order": 120, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 2, 4, 3 ], [ 0, 1, 3, 2, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 1, 4, 3, 2 ], [ 0, 2, 1, 3, 4 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 3, 4, 1 ], [ 0, 2, 4, 1, 3 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 1, 4, 2 ], [ 0, 3, 2, 1, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 3, 4, 2, 1 ], [ 0, 4, 1, 2, 3 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 2, 3, 1 ], [ 0, 4, 3, 1, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 3, 4 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 3, 4, 2 ], [ 1, 0, 4, 2, 3 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 0, 4, 3 ], [ 1, 2, 3, 0, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 2, 4, 3, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 2, 4, 0 ], [ 1, 3, 4, 0, 2 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 0, 3, 2 ], [ 1, 4, 2, 0, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 1, 4, 3, 2, 0 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 1, 4, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 0, 4, 3, 1 ], [ 2, 1, 0, 3, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 3, 4, 0 ], [ 2, 1, 4, 0, 3 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 0, 4, 1 ], [ 2, 3, 1, 0, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 3, 4, 1, 0 ], [ 2, 4, 0, 1, 3 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 1, 3, 0 ], [ 2, 4, 3, 0, 1 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 2, 4 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 2, 4, 1 ], [ 3, 0, 4, 1, 2 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 0, 4, 2 ], [ 3, 1, 2, 0, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 0, 1, 4 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 1, 4, 0 ], [ 3, 2, 4, 0, 1 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 0, 2, 1 ], [ 3, 4, 1, 0, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 3, 4, 2, 1, 0 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 1, 3, 2 ], [ 4, 0, 2, 1, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 0, 3, 2, 1 ], [ 4, 1, 0, 2, 3 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 2, 3, 0 ], [ 4, 1, 3, 0, 2 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 0, 3, 1 ], [ 4, 2, 1, 0, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 2, 3, 1, 0 ], [ 4, 3, 0, 1, 2 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 1, 2, 0 ], [ 4, 3, 2, 0, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(4 5)", "(3 4)", "(3 4 5)", "(3 5 4)", "(3 5)", "(2 3)", "(2 3)(4 5)", "(2 3 4)", "(2 3 4 5)", "(2 3 5 4)", "(2 3 5)", "(2 4 3)", "(2 4 5 3)", "(2 4)", "(2 4 5)", "(2 4)(3 5)", "(2 4 3 5)", "(2 5 4 3)", "(2 5 3)", "(2 5 4)", "(2 5)", "(2 5 3 4)", "(2 5)(3 4)", "(1 2)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 4 5)", "(1 2)(3 5 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3)(4 5)", "(1 2 3 4)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 3 5)", "(1 2 4 3)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 5)", "(1 2 4)(3 5)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5 3)", "(1 2 5 4)", "(1 2 5)", "(1 2 5 3 4)", "(1 2 5)(3 4)", "(1 3 2)", "(1 3 2)(4 5)", "(1 3 4 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3 5 2)", "(1 3)", "(1 3)(4 5)", "(1 3 4)", "(1 3 4 5)", "(1 3 5 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3)(2 4 5)", "(1 3 2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3 5)(2 4)", "(1 3)(2 5 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 2 5)", "(1 3 4)(2 5)", "(1 3 4 2 5)", "(1 4 3 2)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 5 2)", "(1 4 2)(3 5)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5 3)", "(1 4)", "(1 4 5)", "(1 4)(3 5)", "(1 4 3 5)", "(1 4 2 3)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 5)(2 3)", "(1 4)(2 3 5)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3)(2 5)", "(1 4)(2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 4 2 5)", "(1 5 4 3 2)", "(1 5 3 2)", "(1 5 4 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 2)(3 4)", "(1 5 4 3)", "(1 5 3)", "(1 5 4)", "(1 5)", "(1 5 3 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5 2 3)", "(1 5 4)(2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5)(2 3 4)", "(1 5 3)(2 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4 3)", "(1 5 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], [ 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 ], [ 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113 ], [ 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71 ], [ 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89 ], [ 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65 ], [ 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117 ], [ 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93 ], [ 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107 ], [ 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 ], [ 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83 ], [ 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41 ], [ 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111 ], [ 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69 ], [ 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105 ], [ 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45 ], [ 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59 ], [ 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35 ], [ 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87 ], [ 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63 ], [ 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81 ], [ 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39 ], [ 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57 ], [ 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118 ], [ 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94 ], [ 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112 ], [ 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70 ], [ 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88 ], [ 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64 ], [ 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115 ], [ 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91 ], [ 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101 ], [ 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 ], [ 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77 ], [ 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17 ], [ 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109 ], [ 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67 ], [ 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99 ], [ 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21 ], [ 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53 ], [ 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11 ], [ 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85 ], [ 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61 ], [ 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75 ], [ 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15 ], [ 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51 ], [ 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116 ], [ 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92 ], [ 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106 ], [ 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46 ], [ 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82 ], [ 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40 ], [ 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114 ], [ 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90 ], [ 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100 ], [ 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22 ], [ 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76 ], [ 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16 ], [ 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103 ], [ 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43 ], [ 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97 ], [ 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19 ], [ 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29 ], [ 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5 ], [ 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79 ], [ 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37 ], [ 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73 ], [ 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13 ], [ 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27 ], [ 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3 ], [ 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110 ], [ 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68 ], [ 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104 ], [ 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44 ], [ 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58 ], [ 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34 ], [ 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108 ], [ 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66 ], [ 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98 ], [ 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20 ], [ 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52 ], [ 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10 ], [ 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102 ], [ 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42 ], [ 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96 ], [ 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18 ], [ 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28 ], [ 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4 ], [ 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55 ], [ 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31 ], [ 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49 ], [ 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7 ], [ 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25 ], [ 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1 ], [ 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86 ], [ 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62 ], [ 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80 ], [ 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38 ], [ 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56 ], [ 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32 ], [ 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84 ], [ 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60 ], [ 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74 ], [ 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14 ], [ 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50 ], [ 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8 ], [ 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78 ], [ 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36 ], [ 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72 ], [ 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12 ], [ 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26 ], [ 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2 ], [ 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54 ], [ 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30 ], [ 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6 ], [ 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 4, 3, 5, 6, 7, 12, 18, 13, 19, 8, 10, 14, 20, 16, 22, 9, 11, 15, 21, 17, 23, 24, 25, 26, 28, 27, 29, 48, 49, 72, 96, 73, 97, 50, 52, 74, 98, 76, 100, 51, 53, 75, 99, 77, 101, 30, 31, 36, 42, 37, 43, 54, 55, 78, 102, 79, 103, 60, 66, 84, 108, 90, 114, 61, 67, 85, 109, 91, 115, 32, 34, 38, 44, 40, 46, 56, 58, 80, 104, 82, 106, 62, 68, 86, 110, 92, 116, 64, 70, 88, 112, 94, 118, 33, 35, 39, 45, 41, 47, 57, 59, 81, 105, 83, 107, 63, 69, 87, 111, 93, 117, 65, 71, 89, 113, 95, 119 ], "cycleTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,1,2", "1,1,3", "1,1,3", "1,1,1,2", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "1,1,1,2", "1,2,2", "1,2,2", "2,3", "2,3", "1,2,2", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,2,2", "2,3", "1,4", "5", "5", "2,3", "2,3", "1,2,2", "5", "1,4", "2,3", "5", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "5", "1,2,2", "2,3", "2,3", "5", "5", "2,3", "2,3", "5", "1,2,2", "1,4", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "5", "1,4", "2,3", "1,2,2", "5", "2,3", "2,3", "5", "5", "2,3", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "2,3", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 61, 0 ], [ 0, 62, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 65, 0 ], [ 0, 66, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 69, 0 ], [ 0, 70, 0 ], [ 0, 71, 0 ], [ 0, 72, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 75, 0 ], [ 0, 76, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 79, 0 ], [ 0, 80, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 83, 0 ], [ 0, 84, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 87, 0 ], [ 0, 88, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 91, 0 ], [ 0, 92, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 95, 0 ], [ 0, 96, 0 ], [ 0, 97, 0 ], [ 0, 98, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 101, 0 ], [ 0, 102, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 105, 0 ], [ 0, 106, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 109, 0 ], [ 0, 110, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 113, 0 ], [ 0, 114, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 117, 0 ], [ 0, 118, 0 ], [ 0, 119, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 3 ], [ 1, 3, 3 ], [ 1, 4, 4 ], [ 1, 5, 4 ], [ 1, 6, 0 ], [ 1, 7, 0 ], [ 1, 8, 15 ], [ 1, 9, 15 ], [ 1, 10, 20 ], [ 1, 11, 20 ], [ 1, 12, 3 ], [ 1, 13, 3 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 7 ], [ 1, 17, 7 ], [ 1, 18, 4 ], [ 1, 19, 4 ], [ 1, 20, 20 ], [ 1, 21, 20 ], [ 1, 22, 7 ], [ 1, 23, 7 ], [ 1, 24, 0 ], [ 1, 25, 0 ], [ 1, 26, 3 ], [ 1, 27, 3 ], [ 1, 28, 4 ], [ 1, 29, 4 ], [ 1, 30, 0 ], [ 1, 31, 0 ], [ 1, 32, 81 ], [ 1, 33, 81 ], [ 1, 34, 104 ], [ 1, 35, 104 ], [ 1, 36, 3 ], [ 1, 37, 3 ], [ 1, 38, 81 ], [ 1, 39, 81 ], [ 1, 40, 55 ], [ 1, 41, 55 ], [ 1, 42, 4 ], [ 1, 43, 4 ], [ 1, 44, 104 ], [ 1, 45, 104 ], [ 1, 46, 55 ], [ 1, 47, 55 ], [ 1, 48, 0 ], [ 1, 49, 0 ], [ 1, 50, 15 ], [ 1, 51, 15 ], [ 1, 52, 20 ], [ 1, 53, 20 ], [ 1, 54, 0 ], [ 1, 55, 0 ], [ 1, 56, 81 ], [ 1, 57, 81 ], [ 1, 58, 104 ], [ 1, 59, 104 ], [ 1, 60, 15 ], [ 1, 61, 15 ], [ 1, 62, 81 ], [ 1, 63, 81 ], [ 1, 64, 25 ], [ 1, 65, 25 ], [ 1, 66, 20 ], [ 1, 67, 20 ], [ 1, 68, 104 ], [ 1, 69, 104 ], [ 1, 70, 25 ], [ 1, 71, 25 ], [ 1, 72, 3 ], [ 1, 73, 3 ], [ 1, 74, 15 ], [ 1, 75, 15 ], [ 1, 76, 7 ], [ 1, 77, 7 ], [ 1, 78, 3 ], [ 1, 79, 3 ], [ 1, 80, 81 ], [ 1, 81, 81 ], [ 1, 82, 55 ], [ 1, 83, 55 ], [ 1, 84, 15 ], [ 1, 85, 15 ], [ 1, 86, 81 ], [ 1, 87, 81 ], [ 1, 88, 25 ], [ 1, 89, 25 ], [ 1, 90, 7 ], [ 1, 91, 7 ], [ 1, 92, 55 ], [ 1, 93, 55 ], [ 1, 94, 25 ], [ 1, 95, 25 ], [ 1, 96, 4 ], [ 1, 97, 4 ], [ 1, 98, 20 ], [ 1, 99, 20 ], [ 1, 100, 7 ], [ 1, 101, 7 ], [ 1, 102, 4 ], [ 1, 103, 4 ], [ 1, 104, 104 ], [ 1, 105, 104 ], [ 1, 106, 55 ], [ 1, 107, 55 ], [ 1, 108, 20 ], [ 1, 109, 20 ], [ 1, 110, 104 ], [ 1, 111, 104 ], [ 1, 112, 25 ], [ 1, 113, 25 ], [ 1, 114, 7 ], [ 1, 115, 7 ], [ 1, 116, 55 ], [ 1, 117, 55 ], [ 1, 118, 25 ], [ 1, 119, 25 ], [ 2, 0, 0 ], [ 2, 1, 4 ], [ 2, 2, 0 ], [ 2, 3, 3 ], [ 2, 4, 4 ], [ 2, 5, 3 ], [ 2, 6, 8 ], [ 2, 7, 23 ], [ 2, 8, 8 ], [ 2, 9, 3 ], [ 2, 10, 23 ], [ 2, 11, 3 ], [ 2, 12, 12 ], [ 2, 13, 23 ], [ 2, 14, 12 ], [ 2, 15, 4 ], [ 2, 16, 23 ], [ 2, 17, 4 ], [ 2, 18, 12 ], [ 2, 19, 8 ], [ 2, 20, 12 ], [ 2, 21, 0 ], [ 2, 22, 8 ], [ 2, 23, 0 ], [ 2, 24, 0 ], [ 2, 25, 4 ], [ 2, 26, 0 ], [ 2, 27, 3 ], [ 2, 28, 4 ], [ 2, 29, 3 ], [ 2, 30, 56 ], [ 2, 31, 107 ], [ 2, 32, 56 ], [ 2, 33, 3 ], [ 2, 34, 107 ], [ 2, 35, 3 ], [ 2, 36, 78 ], [ 2, 37, 107 ], [ 2, 38, 78 ], [ 2, 39, 4 ], [ 2, 40, 107 ], [ 2, 41, 4 ], [ 2, 42, 78 ], [ 2, 43, 56 ], [ 2, 44, 78 ], [ 2, 45, 0 ], [ 2, 46, 56 ], [ 2, 47, 0 ], [ 2, 48, 8 ], [ 2, 49, 23 ], [ 2, 50, 8 ], [ 2, 51, 3 ], [ 2, 52, 23 ], [ 2, 53, 3 ], [ 2, 54, 56 ], [ 2, 55, 107 ], [ 2, 56, 56 ], [ 2, 57, 3 ], [ 2, 58, 107 ], [ 2, 59, 3 ], [ 2, 60, 26 ], [ 2, 61, 107 ], [ 2, 62, 26 ], [ 2, 63, 23 ], [ 2, 64, 107 ], [ 2, 65, 23 ], [ 2, 66, 26 ], [ 2, 67, 56 ], [ 2, 68, 26 ], [ 2, 69, 8 ], [ 2, 70, 56 ], [ 2, 71, 8 ], [ 2, 72, 12 ], [ 2, 73, 23 ], [ 2, 74, 12 ], [ 2, 75, 4 ], [ 2, 76, 23 ], [ 2, 77, 4 ], [ 2, 78, 78 ], [ 2, 79, 107 ], [ 2, 80, 78 ], [ 2, 81, 4 ], [ 2, 82, 107 ], [ 2, 83, 4 ], [ 2, 84, 26 ], [ 2, 85, 107 ], [ 2, 86, 26 ], [ 2, 87, 23 ], [ 2, 88, 107 ], [ 2, 89, 23 ], [ 2, 90, 26 ], [ 2, 91, 78 ], [ 2, 92, 26 ], [ 2, 93, 12 ], [ 2, 94, 78 ], [ 2, 95, 12 ], [ 2, 96, 12 ], [ 2, 97, 8 ], [ 2, 98, 12 ], [ 2, 99, 0 ], [ 2, 100, 8 ], [ 2, 101, 0 ], [ 2, 102, 78 ], [ 2, 103, 56 ], [ 2, 104, 78 ], [ 2, 105, 0 ], [ 2, 106, 56 ], [ 2, 107, 0 ], [ 2, 108, 26 ], [ 2, 109, 56 ], [ 2, 110, 26 ], [ 2, 111, 8 ], [ 2, 112, 56 ], [ 2, 113, 8 ], [ 2, 114, 26 ], [ 2, 115, 78 ], [ 2, 116, 26 ], [ 2, 117, 12 ], [ 2, 118, 78 ], [ 2, 119, 12 ], [ 3, 0, 0 ], [ 3, 1, 4 ], [ 3, 2, 4 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 5, 4 ], [ 3, 6, 8 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 9, 8 ], [ 3, 10, 8 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 13, 15 ], [ 3, 14, 15 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 17, 15 ], [ 3, 18, 19 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 21, 19 ], [ 3, 22, 19 ], [ 3, 23, 16 ], [ 3, 24, 0 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 27, 0 ], [ 3, 28, 0 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 31, 107 ], [ 3, 32, 107 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 35, 107 ], [ 3, 36, 55 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 39, 55 ], [ 3, 40, 55 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 43, 82 ], [ 3, 44, 82 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 47, 82 ], [ 3, 48, 8 ], [ 3, 49, 23 ], [ 3, 50, 23 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 53, 23 ], [ 3, 54, 56 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 57, 56 ], [ 3, 58, 56 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 61, 33 ], [ 3, 62, 33 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 65, 33 ], [ 3, 66, 100 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 69, 100 ], [ 3, 70, 100 ], [ 3, 71, 46 ], [ 3, 72, 7 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 75, 7 ], [ 3, 76, 7 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 79, 81 ], [ 3, 80, 81 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 83, 81 ], [ 3, 84, 51 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 87, 51 ], [ 3, 88, 51 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 91, 37 ], [ 3, 92, 37 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 95, 37 ], [ 3, 96, 19 ], [ 3, 97, 16 ], [ 3, 98, 16 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 101, 16 ], [ 3, 102, 103 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 105, 103 ], [ 3, 106, 103 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 109, 46 ], [ 3, 110, 46 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 113, 46 ], [ 3, 114, 73 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 117, 73 ], [ 3, 118, 73 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 1, 3 ], [ 4, 2, 3 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 11 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 9, 11 ], [ 4, 10, 11 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 13, 12 ], [ 4, 14, 12 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 17, 12 ], [ 4, 18, 20 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 21, 20 ], [ 4, 22, 20 ], [ 4, 23, 7 ], [ 4, 24, 0 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 27, 0 ], [ 4, 28, 0 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 31, 82 ], [ 4, 32, 82 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 35, 82 ], [ 4, 36, 107 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 39, 107 ], [ 4, 40, 107 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 43, 55 ], [ 4, 44, 55 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 47, 55 ], [ 4, 48, 11 ], [ 4, 49, 16 ], [ 4, 50, 16 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 53, 16 ], [ 4, 54, 59 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 57, 59 ], [ 4, 58, 59 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 61, 77 ], [ 4, 62, 77 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 65, 77 ], [ 4, 66, 34 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 69, 34 ], [ 4, 70, 34 ], [ 4, 71, 52 ], [ 4, 72, 23 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 75, 23 ], [ 4, 76, 23 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 79, 78 ], [ 4, 80, 78 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 83, 78 ], [ 4, 84, 41 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 87, 41 ], [ 4, 88, 41 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 91, 96 ], [ 4, 92, 96 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 95, 96 ], [ 4, 96, 20 ], [ 4, 97, 7 ], [ 4, 98, 7 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 101, 7 ], [ 4, 102, 104 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 105, 104 ], [ 4, 106, 104 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 109, 52 ], [ 4, 110, 52 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 113, 52 ], [ 4, 114, 42 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 117, 42 ], [ 4, 118, 42 ], [ 4, 119, 96 ], [ 5, 0, 0 ], [ 5, 1, 3 ], [ 5, 2, 4 ], [ 5, 3, 3 ], [ 5, 4, 4 ], [ 5, 5, 0 ], [ 5, 6, 11 ], [ 5, 7, 16 ], [ 5, 8, 4 ], [ 5, 9, 16 ], [ 5, 10, 4 ], [ 5, 11, 11 ], [ 5, 12, 11 ], [ 5, 13, 19 ], [ 5, 14, 0 ], [ 5, 15, 19 ], [ 5, 16, 0 ], [ 5, 17, 11 ], [ 5, 18, 16 ], [ 5, 19, 19 ], [ 5, 20, 3 ], [ 5, 21, 19 ], [ 5, 22, 3 ], [ 5, 23, 16 ], [ 5, 24, 0 ], [ 5, 25, 3 ], [ 5, 26, 4 ], [ 5, 27, 3 ], [ 5, 28, 4 ], [ 5, 29, 0 ], [ 5, 30, 59 ], [ 5, 31, 82 ], [ 5, 32, 4 ], [ 5, 33, 82 ], [ 5, 34, 4 ], [ 5, 35, 59 ], [ 5, 36, 59 ], [ 5, 37, 103 ], [ 5, 38, 0 ], [ 5, 39, 103 ], [ 5, 40, 0 ], [ 5, 41, 59 ], [ 5, 42, 82 ], [ 5, 43, 103 ], [ 5, 44, 3 ], [ 5, 45, 103 ], [ 5, 46, 3 ], [ 5, 47, 82 ], [ 5, 48, 11 ], [ 5, 49, 16 ], [ 5, 50, 4 ], [ 5, 51, 16 ], [ 5, 52, 4 ], [ 5, 53, 11 ], [ 5, 54, 59 ], [ 5, 55, 82 ], [ 5, 56, 4 ], [ 5, 57, 82 ], [ 5, 58, 4 ], [ 5, 59, 59 ], [ 5, 60, 59 ], [ 5, 61, 29 ], [ 5, 62, 11 ], [ 5, 63, 29 ], [ 5, 64, 11 ], [ 5, 65, 59 ], [ 5, 66, 82 ], [ 5, 67, 29 ], [ 5, 68, 16 ], [ 5, 69, 29 ], [ 5, 70, 16 ], [ 5, 71, 82 ], [ 5, 72, 11 ], [ 5, 73, 19 ], [ 5, 74, 0 ], [ 5, 75, 19 ], [ 5, 76, 0 ], [ 5, 77, 11 ], [ 5, 78, 59 ], [ 5, 79, 103 ], [ 5, 80, 0 ], [ 5, 81, 103 ], [ 5, 82, 0 ], [ 5, 83, 59 ], [ 5, 84, 59 ], [ 5, 85, 29 ], [ 5, 86, 11 ], [ 5, 87, 29 ], [ 5, 88, 11 ], [ 5, 89, 59 ], [ 5, 90, 103 ], [ 5, 91, 29 ], [ 5, 92, 19 ], [ 5, 93, 29 ], [ 5, 94, 19 ], [ 5, 95, 103 ], [ 5, 96, 16 ], [ 5, 97, 19 ], [ 5, 98, 3 ], [ 5, 99, 19 ], [ 5, 100, 3 ], [ 5, 101, 16 ], [ 5, 102, 82 ], [ 5, 103, 103 ], [ 5, 104, 3 ], [ 5, 105, 103 ], [ 5, 106, 3 ], [ 5, 107, 82 ], [ 5, 108, 82 ], [ 5, 109, 29 ], [ 5, 110, 16 ], [ 5, 111, 29 ], [ 5, 112, 16 ], [ 5, 113, 82 ], [ 5, 114, 103 ], [ 5, 115, 29 ], [ 5, 116, 19 ], [ 5, 117, 29 ], [ 5, 118, 19 ], [ 5, 119, 103 ], [ 6, 0, 0 ], [ 6, 1, 0 ], [ 6, 2, 12 ], [ 6, 3, 12 ], [ 6, 4, 19 ], [ 6, 5, 19 ], [ 6, 6, 0 ], [ 6, 7, 0 ], [ 6, 8, 8 ], [ 6, 9, 8 ], [ 6, 10, 11 ], [ 6, 11, 11 ], [ 6, 12, 12 ], [ 6, 13, 12 ], [ 6, 14, 8 ], [ 6, 15, 8 ], [ 6, 16, 7 ], [ 6, 17, 7 ], [ 6, 18, 19 ], [ 6, 19, 19 ], [ 6, 20, 11 ], [ 6, 21, 11 ], [ 6, 22, 7 ], [ 6, 23, 7 ], [ 6, 24, 30 ], [ 6, 25, 30 ], [ 6, 26, 86 ], [ 6, 27, 86 ], [ 6, 28, 111 ], [ 6, 29, 111 ], [ 6, 30, 30 ], [ 6, 31, 30 ], [ 6, 32, 8 ], [ 6, 33, 8 ], [ 6, 34, 11 ], [ 6, 35, 11 ], [ 6, 36, 86 ], [ 6, 37, 86 ], [ 6, 38, 8 ], [ 6, 39, 8 ], [ 6, 40, 7 ], [ 6, 41, 7 ], [ 6, 42, 111 ], [ 6, 43, 111 ], [ 6, 44, 11 ], [ 6, 45, 11 ], [ 6, 46, 7 ], [ 6, 47, 7 ], [ 6, 48, 48 ], [ 6, 49, 48 ], [ 6, 50, 86 ], [ 6, 51, 86 ], [ 6, 52, 111 ], [ 6, 53, 111 ], [ 6, 54, 48 ], [ 6, 55, 48 ], [ 6, 56, 12 ], [ 6, 57, 12 ], [ 6, 58, 19 ], [ 6, 59, 19 ], [ 6, 60, 86 ], [ 6, 61, 86 ], [ 6, 62, 12 ], [ 6, 63, 12 ], [ 6, 64, 7 ], [ 6, 65, 7 ], [ 6, 66, 111 ], [ 6, 67, 111 ], [ 6, 68, 19 ], [ 6, 69, 19 ], [ 6, 70, 7 ], [ 6, 71, 7 ], [ 6, 72, 48 ], [ 6, 73, 48 ], [ 6, 74, 30 ], [ 6, 75, 30 ], [ 6, 76, 111 ], [ 6, 77, 111 ], [ 6, 78, 48 ], [ 6, 79, 48 ], [ 6, 80, 0 ], [ 6, 81, 0 ], [ 6, 82, 19 ], [ 6, 83, 19 ], [ 6, 84, 30 ], [ 6, 85, 30 ], [ 6, 86, 0 ], [ 6, 87, 0 ], [ 6, 88, 11 ], [ 6, 89, 11 ], [ 6, 90, 111 ], [ 6, 91, 111 ], [ 6, 92, 19 ], [ 6, 93, 19 ], [ 6, 94, 11 ], [ 6, 95, 11 ], [ 6, 96, 48 ], [ 6, 97, 48 ], [ 6, 98, 30 ], [ 6, 99, 30 ], [ 6, 100, 86 ], [ 6, 101, 86 ], [ 6, 102, 48 ], [ 6, 103, 48 ], [ 6, 104, 0 ], [ 6, 105, 0 ], [ 6, 106, 12 ], [ 6, 107, 12 ], [ 6, 108, 30 ], [ 6, 109, 30 ], [ 6, 110, 0 ], [ 6, 111, 0 ], [ 6, 112, 8 ], [ 6, 113, 8 ], [ 6, 114, 86 ], [ 6, 115, 86 ], [ 6, 116, 12 ], [ 6, 117, 12 ], [ 6, 118, 8 ], [ 6, 119, 8 ], [ 7, 0, 0 ], [ 7, 1, 0 ], [ 7, 2, 23 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 5, 16 ], [ 7, 6, 0 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 9, 16 ], [ 7, 10, 23 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 13, 23 ], [ 7, 14, 16 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 17, 0 ], [ 7, 18, 16 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 21, 23 ], [ 7, 22, 0 ], [ 7, 23, 0 ], [ 7, 24, 30 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 27, 112 ], [ 7, 28, 89 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 31, 30 ], [ 7, 32, 89 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 35, 112 ], [ 7, 36, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 39, 89 ], [ 7, 40, 30 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 43, 89 ], [ 7, 44, 112 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 47, 30 ], [ 7, 48, 48 ], [ 7, 49, 48 ], [ 7, 50, 116 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 53, 93 ], [ 7, 54, 48 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 57, 93 ], [ 7, 58, 116 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 61, 116 ], [ 7, 62, 93 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 65, 48 ], [ 7, 66, 93 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 69, 116 ], [ 7, 70, 48 ], [ 7, 71, 48 ], [ 7, 72, 51 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 75, 37 ], [ 7, 76, 81 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 79, 51 ], [ 7, 80, 81 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 83, 37 ], [ 7, 84, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 87, 81 ], [ 7, 88, 51 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 91, 81 ], [ 7, 92, 37 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 95, 51 ], [ 7, 96, 52 ], [ 7, 97, 52 ], [ 7, 98, 42 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 101, 104 ], [ 7, 102, 52 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 105, 104 ], [ 7, 106, 42 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 109, 42 ], [ 7, 110, 104 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 113, 52 ], [ 7, 114, 104 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 117, 42 ], [ 7, 118, 52 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 1, 20 ], [ 8, 2, 12 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 5, 3 ], [ 8, 6, 12 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 20 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 13, 3 ], [ 8, 14, 12 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 17, 11 ], [ 8, 18, 20 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 21, 11 ], [ 8, 22, 3 ], [ 8, 23, 7 ], [ 8, 24, 30 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 27, 112 ], [ 8, 28, 89 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 31, 89 ], [ 8, 32, 30 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 35, 7 ], [ 8, 36, 30 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 39, 7 ], [ 8, 40, 112 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 43, 112 ], [ 8, 44, 89 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 47, 7 ], [ 8, 48, 26 ], [ 8, 49, 100 ], [ 8, 50, 56 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 53, 33 ], [ 8, 54, 56 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 57, 23 ], [ 8, 58, 100 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 61, 33 ], [ 8, 62, 56 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 65, 23 ], [ 8, 66, 100 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 69, 23 ], [ 8, 70, 33 ], [ 8, 71, 3 ], [ 8, 72, 74 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 75, 108 ], [ 8, 76, 71 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 79, 71 ], [ 8, 80, 74 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 83, 16 ], [ 8, 84, 74 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 87, 16 ], [ 8, 88, 108 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 91, 108 ], [ 8, 92, 71 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 95, 16 ], [ 8, 96, 74 ], [ 8, 97, 26 ], [ 8, 98, 60 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 101, 86 ], [ 8, 102, 60 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 105, 0 ], [ 8, 106, 26 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 109, 86 ], [ 8, 110, 60 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 113, 0 ], [ 8, 114, 26 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 117, 0 ], [ 8, 118, 86 ], [ 8, 119, 12 ], [ 9, 0, 0 ], [ 9, 1, 20 ], [ 9, 2, 4 ], [ 9, 3, 12 ], [ 9, 4, 19 ], [ 9, 5, 16 ], [ 9, 6, 12 ], [ 9, 7, 16 ], [ 9, 8, 19 ], [ 9, 9, 0 ], [ 9, 10, 4 ], [ 9, 11, 20 ], [ 9, 12, 20 ], [ 9, 13, 19 ], [ 9, 14, 16 ], [ 9, 15, 4 ], [ 9, 16, 0 ], [ 9, 17, 12 ], [ 9, 18, 0 ], [ 9, 19, 4 ], [ 9, 20, 12 ], [ 9, 21, 19 ], [ 9, 22, 20 ], [ 9, 23, 16 ], [ 9, 24, 30 ], [ 9, 25, 108 ], [ 9, 26, 34 ], [ 9, 27, 86 ], [ 9, 28, 111 ], [ 9, 29, 89 ], [ 9, 30, 86 ], [ 9, 31, 89 ], [ 9, 32, 111 ], [ 9, 33, 30 ], [ 9, 34, 34 ], [ 9, 35, 108 ], [ 9, 36, 108 ], [ 9, 37, 111 ], [ 9, 38, 89 ], [ 9, 39, 34 ], [ 9, 40, 30 ], [ 9, 41, 86 ], [ 9, 42, 30 ], [ 9, 43, 34 ], [ 9, 44, 86 ], [ 9, 45, 111 ], [ 9, 46, 108 ], [ 9, 47, 89 ], [ 9, 48, 26 ], [ 9, 49, 100 ], [ 9, 50, 46 ], [ 9, 51, 56 ], [ 9, 52, 107 ], [ 9, 53, 71 ], [ 9, 54, 56 ], [ 9, 55, 71 ], [ 9, 56, 107 ], [ 9, 57, 26 ], [ 9, 58, 46 ], [ 9, 59, 100 ], [ 9, 60, 100 ], [ 9, 61, 107 ], [ 9, 62, 71 ], [ 9, 63, 46 ], [ 9, 64, 26 ], [ 9, 65, 56 ], [ 9, 66, 26 ], [ 9, 67, 46 ], [ 9, 68, 56 ], [ 9, 69, 107 ], [ 9, 70, 100 ], [ 9, 71, 71 ], [ 9, 72, 25 ], [ 9, 73, 73 ], [ 9, 74, 37 ], [ 9, 75, 55 ], [ 9, 76, 81 ], [ 9, 77, 63 ], [ 9, 78, 55 ], [ 9, 79, 63 ], [ 9, 80, 81 ], [ 9, 81, 25 ], [ 9, 82, 37 ], [ 9, 83, 73 ], [ 9, 84, 73 ], [ 9, 85, 81 ], [ 9, 86, 63 ], [ 9, 87, 37 ], [ 9, 88, 25 ], [ 9, 89, 55 ], [ 9, 90, 25 ], [ 9, 91, 37 ], [ 9, 92, 55 ], [ 9, 93, 81 ], [ 9, 94, 73 ], [ 9, 95, 63 ], [ 9, 96, 99 ], [ 9, 97, 77 ], [ 9, 98, 115 ], [ 9, 99, 67 ], [ 9, 100, 94 ], [ 9, 101, 64 ], [ 9, 102, 67 ], [ 9, 103, 64 ], [ 9, 104, 94 ], [ 9, 105, 99 ], [ 9, 106, 115 ], [ 9, 107, 77 ], [ 9, 108, 77 ], [ 9, 109, 94 ], [ 9, 110, 64 ], [ 9, 111, 115 ], [ 9, 112, 99 ], [ 9, 113, 67 ], [ 9, 114, 99 ], [ 9, 115, 115 ], [ 9, 116, 67 ], [ 9, 117, 94 ], [ 9, 118, 77 ], [ 9, 119, 64 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 23 ], [ 10, 3, 12 ], [ 10, 4, 19 ], [ 10, 5, 3 ], [ 10, 6, 19 ], [ 10, 7, 23 ], [ 10, 8, 15 ], [ 10, 9, 3 ], [ 10, 10, 0 ], [ 10, 11, 12 ], [ 10, 12, 3 ], [ 10, 13, 0 ], [ 10, 14, 12 ], [ 10, 15, 19 ], [ 10, 16, 23 ], [ 10, 17, 15 ], [ 10, 18, 12 ], [ 10, 19, 15 ], [ 10, 20, 3 ], [ 10, 21, 23 ], [ 10, 22, 19 ], [ 10, 23, 0 ], [ 10, 24, 30 ], [ 10, 25, 85 ], [ 10, 26, 112 ], [ 10, 27, 86 ], [ 10, 28, 111 ], [ 10, 29, 33 ], [ 10, 30, 111 ], [ 10, 31, 112 ], [ 10, 32, 85 ], [ 10, 33, 33 ], [ 10, 34, 30 ], [ 10, 35, 86 ], [ 10, 36, 33 ], [ 10, 37, 30 ], [ 10, 38, 86 ], [ 10, 39, 111 ], [ 10, 40, 112 ], [ 10, 41, 85 ], [ 10, 42, 86 ], [ 10, 43, 85 ], [ 10, 44, 33 ], [ 10, 45, 112 ], [ 10, 46, 111 ], [ 10, 47, 30 ], [ 10, 48, 29 ], [ 10, 49, 77 ], [ 10, 50, 64 ], [ 10, 51, 82 ], [ 10, 52, 59 ], [ 10, 53, 41 ], [ 10, 54, 59 ], [ 10, 55, 64 ], [ 10, 56, 77 ], [ 10, 57, 41 ], [ 10, 58, 29 ], [ 10, 59, 82 ], [ 10, 60, 41 ], [ 10, 61, 29 ], [ 10, 62, 82 ], [ 10, 63, 59 ], [ 10, 64, 64 ], [ 10, 65, 77 ], [ 10, 66, 82 ], [ 10, 67, 77 ], [ 10, 68, 41 ], [ 10, 69, 64 ], [ 10, 70, 59 ], [ 10, 71, 29 ], [ 10, 72, 100 ], [ 10, 73, 74 ], [ 10, 74, 60 ], [ 10, 75, 90 ], [ 10, 76, 71 ], [ 10, 77, 119 ], [ 10, 78, 71 ], [ 10, 79, 60 ], [ 10, 80, 74 ], [ 10, 81, 119 ], [ 10, 82, 100 ], [ 10, 83, 90 ], [ 10, 84, 119 ], [ 10, 85, 100 ], [ 10, 86, 90 ], [ 10, 87, 71 ], [ 10, 88, 60 ], [ 10, 89, 74 ], [ 10, 90, 90 ], [ 10, 91, 74 ], [ 10, 92, 119 ], [ 10, 93, 60 ], [ 10, 94, 71 ], [ 10, 95, 100 ], [ 10, 96, 96 ], [ 10, 97, 25 ], [ 10, 98, 55 ], [ 10, 99, 42 ], [ 10, 100, 68 ], [ 10, 101, 104 ], [ 10, 102, 68 ], [ 10, 103, 55 ], [ 10, 104, 25 ], [ 10, 105, 104 ], [ 10, 106, 96 ], [ 10, 107, 42 ], [ 10, 108, 104 ], [ 10, 109, 96 ], [ 10, 110, 42 ], [ 10, 111, 68 ], [ 10, 112, 55 ], [ 10, 113, 25 ], [ 10, 114, 42 ], [ 10, 115, 25 ], [ 10, 116, 104 ], [ 10, 117, 55 ], [ 10, 118, 68 ], [ 10, 119, 96 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 4 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 5, 19 ], [ 11, 6, 19 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 9, 15 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 13, 15 ], [ 11, 14, 8 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 17, 4 ], [ 11, 18, 4 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 21, 19 ], [ 11, 22, 8 ], [ 11, 23, 16 ], [ 11, 24, 30 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 27, 112 ], [ 11, 28, 89 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 31, 112 ], [ 11, 32, 7 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 35, 30 ], [ 11, 36, 89 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 39, 112 ], [ 11, 40, 7 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 43, 30 ], [ 11, 44, 7 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 47, 89 ], [ 11, 48, 29 ], [ 11, 49, 77 ], [ 11, 50, 34 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 53, 59 ], [ 11, 54, 59 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 57, 77 ], [ 11, 58, 16 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 61, 77 ], [ 11, 62, 16 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 65, 34 ], [ 11, 66, 34 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 69, 59 ], [ 11, 70, 16 ], [ 11, 71, 89 ], [ 11, 72, 29 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 75, 67 ], [ 11, 76, 111 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 79, 67 ], [ 11, 80, 0 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 83, 29 ], [ 11, 84, 111 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 87, 67 ], [ 11, 88, 0 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 91, 29 ], [ 11, 92, 0 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 95, 111 ], [ 11, 96, 77 ], [ 11, 97, 99 ], [ 11, 98, 85 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 101, 64 ], [ 11, 102, 64 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 105, 99 ], [ 11, 106, 23 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 109, 99 ], [ 11, 110, 23 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 113, 85 ], [ 11, 114, 85 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 117, 64 ], [ 11, 118, 23 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 1, 4 ], [ 12, 2, 8 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 5, 19 ], [ 12, 6, 8 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 9, 15 ], [ 12, 10, 4 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 19 ], [ 12, 14, 8 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 17, 15 ], [ 12, 18, 4 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 21, 15 ], [ 12, 22, 19 ], [ 12, 23, 16 ], [ 12, 24, 38 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 27, 63 ], [ 12, 28, 115 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 31, 115 ], [ 12, 32, 38 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 35, 16 ], [ 12, 36, 38 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 39, 16 ], [ 12, 40, 63 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 43, 63 ], [ 12, 44, 115 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 47, 16 ], [ 12, 48, 86 ], [ 12, 49, 93 ], [ 12, 50, 48 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 53, 116 ], [ 12, 54, 48 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 57, 7 ], [ 12, 58, 93 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 61, 116 ], [ 12, 62, 48 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 65, 7 ], [ 12, 66, 93 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 69, 7 ], [ 12, 70, 116 ], [ 12, 71, 19 ], [ 12, 72, 78 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 75, 41 ], [ 12, 76, 96 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 79, 96 ], [ 12, 80, 78 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 83, 23 ], [ 12, 84, 78 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 87, 23 ], [ 12, 88, 41 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 91, 41 ], [ 12, 92, 96 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 95, 23 ], [ 12, 96, 78 ], [ 12, 97, 86 ], [ 12, 98, 26 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 101, 60 ], [ 12, 102, 26 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 105, 0 ], [ 12, 106, 86 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 109, 60 ], [ 12, 110, 26 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 113, 0 ], [ 12, 114, 86 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 117, 0 ], [ 12, 118, 60 ], [ 12, 119, 8 ], [ 13, 0, 0 ], [ 13, 1, 4 ], [ 13, 2, 23 ], [ 13, 3, 20 ], [ 13, 4, 8 ], [ 13, 5, 11 ], [ 13, 6, 8 ], [ 13, 7, 23 ], [ 13, 8, 4 ], [ 13, 9, 11 ], [ 13, 10, 0 ], [ 13, 11, 20 ], [ 13, 12, 11 ], [ 13, 13, 0 ], [ 13, 14, 20 ], [ 13, 15, 8 ], [ 13, 16, 23 ], [ 13, 17, 4 ], [ 13, 18, 20 ], [ 13, 19, 4 ], [ 13, 20, 11 ], [ 13, 21, 23 ], [ 13, 22, 8 ], [ 13, 23, 0 ], [ 13, 24, 38 ], [ 13, 25, 41 ], [ 13, 26, 115 ], [ 13, 27, 119 ], [ 13, 28, 60 ], [ 13, 29, 64 ], [ 13, 30, 60 ], [ 13, 31, 115 ], [ 13, 32, 41 ], [ 13, 33, 64 ], [ 13, 34, 38 ], [ 13, 35, 119 ], [ 13, 36, 64 ], [ 13, 37, 38 ], [ 13, 38, 119 ], [ 13, 39, 60 ], [ 13, 40, 115 ], [ 13, 41, 41 ], [ 13, 42, 119 ], [ 13, 43, 41 ], [ 13, 44, 64 ], [ 13, 45, 115 ], [ 13, 46, 60 ], [ 13, 47, 38 ], [ 13, 48, 86 ], [ 13, 49, 93 ], [ 13, 50, 96 ], [ 13, 51, 111 ], [ 13, 52, 48 ], [ 13, 53, 68 ], [ 13, 54, 48 ], [ 13, 55, 96 ], [ 13, 56, 93 ], [ 13, 57, 68 ], [ 13, 58, 86 ], [ 13, 59, 111 ], [ 13, 60, 68 ], [ 13, 61, 86 ], [ 13, 62, 111 ], [ 13, 63, 48 ], [ 13, 64, 96 ], [ 13, 65, 93 ], [ 13, 66, 111 ], [ 13, 67, 93 ], [ 13, 68, 68 ], [ 13, 69, 96 ], [ 13, 70, 48 ], [ 13, 71, 86 ], [ 13, 72, 85 ], [ 13, 73, 81 ], [ 13, 74, 25 ], [ 13, 75, 33 ], [ 13, 76, 51 ], [ 13, 77, 55 ], [ 13, 78, 51 ], [ 13, 79, 25 ], [ 13, 80, 81 ], [ 13, 81, 55 ], [ 13, 82, 85 ], [ 13, 83, 33 ], [ 13, 84, 55 ], [ 13, 85, 85 ], [ 13, 86, 33 ], [ 13, 87, 51 ], [ 13, 88, 25 ], [ 13, 89, 81 ], [ 13, 90, 33 ], [ 13, 91, 81 ], [ 13, 92, 55 ], [ 13, 93, 25 ], [ 13, 94, 51 ], [ 13, 95, 85 ], [ 13, 96, 90 ], [ 13, 97, 82 ], [ 13, 98, 29 ], [ 13, 99, 46 ], [ 13, 100, 100 ], [ 13, 101, 103 ], [ 13, 102, 100 ], [ 13, 103, 29 ], [ 13, 104, 82 ], [ 13, 105, 103 ], [ 13, 106, 90 ], [ 13, 107, 46 ], [ 13, 108, 103 ], [ 13, 109, 90 ], [ 13, 110, 46 ], [ 13, 111, 100 ], [ 13, 112, 29 ], [ 13, 113, 82 ], [ 13, 114, 46 ], [ 13, 115, 82 ], [ 13, 116, 103 ], [ 13, 117, 29 ], [ 13, 118, 100 ], [ 13, 119, 90 ], [ 14, 0, 0 ], [ 14, 1, 20 ], [ 14, 2, 8 ], [ 14, 3, 20 ], [ 14, 4, 8 ], [ 14, 5, 0 ], [ 14, 6, 12 ], [ 14, 7, 16 ], [ 14, 8, 8 ], [ 14, 9, 16 ], [ 14, 10, 8 ], [ 14, 11, 12 ], [ 14, 12, 12 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 15 ], [ 14, 16, 0 ], [ 14, 17, 12 ], [ 14, 18, 16 ], [ 14, 19, 15 ], [ 14, 20, 20 ], [ 14, 21, 15 ], [ 14, 22, 20 ], [ 14, 23, 16 ], [ 14, 24, 38 ], [ 14, 25, 119 ], [ 14, 26, 60 ], [ 14, 27, 119 ], [ 14, 28, 60 ], [ 14, 29, 38 ], [ 14, 30, 12 ], [ 14, 31, 16 ], [ 14, 32, 60 ], [ 14, 33, 16 ], [ 14, 34, 60 ], [ 14, 35, 12 ], [ 14, 36, 12 ], [ 14, 37, 15 ], [ 14, 38, 38 ], [ 14, 39, 15 ], [ 14, 40, 38 ], [ 14, 41, 12 ], [ 14, 42, 16 ], [ 14, 43, 15 ], [ 14, 44, 119 ], [ 14, 45, 15 ], [ 14, 46, 119 ], [ 14, 47, 16 ], [ 14, 48, 38 ], [ 14, 49, 119 ], [ 14, 50, 74 ], [ 14, 51, 119 ], [ 14, 52, 74 ], [ 14, 53, 38 ], [ 14, 54, 0 ], [ 14, 55, 20 ], [ 14, 56, 74 ], [ 14, 57, 20 ], [ 14, 58, 74 ], [ 14, 59, 0 ], [ 14, 60, 0 ], [ 14, 61, 15 ], [ 14, 62, 38 ], [ 14, 63, 15 ], [ 14, 64, 38 ], [ 14, 65, 0 ], [ 14, 66, 20 ], [ 14, 67, 15 ], [ 14, 68, 119 ], [ 14, 69, 15 ], [ 14, 70, 119 ], [ 14, 71, 20 ], [ 14, 72, 60 ], [ 14, 73, 119 ], [ 14, 74, 74 ], [ 14, 75, 119 ], [ 14, 76, 74 ], [ 14, 77, 60 ], [ 14, 78, 8 ], [ 14, 79, 20 ], [ 14, 80, 74 ], [ 14, 81, 20 ], [ 14, 82, 74 ], [ 14, 83, 8 ], [ 14, 84, 8 ], [ 14, 85, 16 ], [ 14, 86, 60 ], [ 14, 87, 16 ], [ 14, 88, 60 ], [ 14, 89, 8 ], [ 14, 90, 20 ], [ 14, 91, 16 ], [ 14, 92, 119 ], [ 14, 93, 16 ], [ 14, 94, 119 ], [ 14, 95, 20 ], [ 14, 96, 60 ], [ 14, 97, 38 ], [ 14, 98, 74 ], [ 14, 99, 38 ], [ 14, 100, 74 ], [ 14, 101, 60 ], [ 14, 102, 8 ], [ 14, 103, 0 ], [ 14, 104, 74 ], [ 14, 105, 0 ], [ 14, 106, 74 ], [ 14, 107, 8 ], [ 14, 108, 8 ], [ 14, 109, 12 ], [ 14, 110, 60 ], [ 14, 111, 12 ], [ 14, 112, 60 ], [ 14, 113, 8 ], [ 14, 114, 0 ], [ 14, 115, 12 ], [ 14, 116, 38 ], [ 14, 117, 12 ], [ 14, 118, 38 ], [ 14, 119, 0 ], [ 15, 0, 0 ], [ 15, 1, 20 ], [ 15, 2, 3 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 5, 11 ], [ 15, 6, 12 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 9, 3 ], [ 15, 10, 11 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 13, 12 ], [ 15, 14, 20 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 17, 11 ], [ 15, 18, 12 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 21, 20 ], [ 15, 22, 3 ], [ 15, 23, 7 ], [ 15, 24, 38 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 27, 63 ], [ 15, 28, 115 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 31, 16 ], [ 15, 32, 63 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 35, 115 ], [ 15, 36, 16 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 39, 38 ], [ 15, 40, 115 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 43, 16 ], [ 15, 44, 38 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 47, 63 ], [ 15, 48, 38 ], [ 15, 49, 119 ], [ 15, 50, 25 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 53, 94 ], [ 15, 54, 0 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 57, 25 ], [ 15, 58, 94 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 61, 0 ], [ 15, 62, 119 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 65, 94 ], [ 15, 66, 0 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 69, 119 ], [ 15, 70, 25 ], [ 15, 71, 81 ], [ 15, 72, 37 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 75, 81 ], [ 15, 76, 51 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 79, 7 ], [ 15, 80, 81 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 83, 51 ], [ 15, 84, 7 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 87, 37 ], [ 15, 88, 51 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 91, 7 ], [ 15, 92, 37 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 95, 81 ], [ 15, 96, 115 ], [ 15, 97, 64 ], [ 15, 98, 99 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 101, 85 ], [ 15, 102, 23 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 105, 99 ], [ 15, 106, 85 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 109, 23 ], [ 15, 110, 64 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 113, 85 ], [ 15, 114, 23 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 117, 64 ], [ 15, 118, 99 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 1, 7 ], [ 16, 2, 23 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 5, 0 ], [ 16, 6, 7 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 9, 0 ], [ 16, 10, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 13, 23 ], [ 16, 14, 0 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 17, 7 ], [ 16, 18, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 21, 23 ], [ 16, 22, 7 ], [ 16, 23, 0 ], [ 16, 24, 38 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 27, 63 ], [ 16, 28, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 31, 38 ], [ 16, 32, 115 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 35, 63 ], [ 16, 36, 63 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 39, 115 ], [ 16, 40, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 43, 115 ], [ 16, 44, 63 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 47, 38 ], [ 16, 48, 34 ], [ 16, 49, 59 ], [ 16, 50, 77 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 53, 34 ], [ 16, 54, 59 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 57, 34 ], [ 16, 58, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 61, 77 ], [ 16, 62, 34 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 65, 59 ], [ 16, 66, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 69, 77 ], [ 16, 70, 59 ], [ 16, 71, 34 ], [ 16, 72, 108 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 75, 71 ], [ 16, 76, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 79, 108 ], [ 16, 80, 74 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 83, 71 ], [ 16, 84, 71 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 87, 74 ], [ 16, 88, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 91, 74 ], [ 16, 92, 71 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 95, 108 ], [ 16, 96, 103 ], [ 16, 97, 46 ], [ 16, 98, 73 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 101, 103 ], [ 16, 102, 46 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 105, 103 ], [ 16, 106, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 109, 73 ], [ 16, 110, 103 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 113, 46 ], [ 16, 114, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 117, 73 ], [ 16, 118, 46 ], [ 16, 119, 103 ], [ 17, 0, 0 ], [ 17, 1, 7 ], [ 17, 2, 3 ], [ 17, 3, 20 ], [ 17, 4, 8 ], [ 17, 5, 19 ], [ 17, 6, 7 ], [ 17, 7, 0 ], [ 17, 8, 19 ], [ 17, 9, 8 ], [ 17, 10, 20 ], [ 17, 11, 3 ], [ 17, 12, 20 ], [ 17, 13, 3 ], [ 17, 14, 8 ], [ 17, 15, 19 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 19 ], [ 17, 19, 8 ], [ 17, 20, 3 ], [ 17, 21, 20 ], [ 17, 22, 0 ], [ 17, 23, 7 ], [ 17, 24, 38 ], [ 17, 25, 63 ], [ 17, 26, 37 ], [ 17, 27, 119 ], [ 17, 28, 60 ], [ 17, 29, 116 ], [ 17, 30, 63 ], [ 17, 31, 38 ], [ 17, 32, 116 ], [ 17, 33, 60 ], [ 17, 34, 119 ], [ 17, 35, 37 ], [ 17, 36, 119 ], [ 17, 37, 37 ], [ 17, 38, 60 ], [ 17, 39, 116 ], [ 17, 40, 63 ], [ 17, 41, 38 ], [ 17, 42, 116 ], [ 17, 43, 60 ], [ 17, 44, 37 ], [ 17, 45, 119 ], [ 17, 46, 38 ], [ 17, 47, 63 ], [ 17, 48, 34 ], [ 17, 49, 59 ], [ 17, 50, 29 ], [ 17, 51, 89 ], [ 17, 52, 52 ], [ 17, 53, 82 ], [ 17, 54, 59 ], [ 17, 55, 34 ], [ 17, 56, 82 ], [ 17, 57, 52 ], [ 17, 58, 89 ], [ 17, 59, 29 ], [ 17, 60, 89 ], [ 17, 61, 29 ], [ 17, 62, 52 ], [ 17, 63, 82 ], [ 17, 64, 59 ], [ 17, 65, 34 ], [ 17, 66, 82 ], [ 17, 67, 52 ], [ 17, 68, 29 ], [ 17, 69, 89 ], [ 17, 70, 34 ], [ 17, 71, 59 ], [ 17, 72, 42 ], [ 17, 73, 107 ], [ 17, 74, 26 ], [ 17, 75, 93 ], [ 17, 76, 96 ], [ 17, 77, 78 ], [ 17, 78, 107 ], [ 17, 79, 42 ], [ 17, 80, 78 ], [ 17, 81, 96 ], [ 17, 82, 93 ], [ 17, 83, 26 ], [ 17, 84, 93 ], [ 17, 85, 26 ], [ 17, 86, 96 ], [ 17, 87, 78 ], [ 17, 88, 107 ], [ 17, 89, 42 ], [ 17, 90, 78 ], [ 17, 91, 96 ], [ 17, 92, 26 ], [ 17, 93, 93 ], [ 17, 94, 42 ], [ 17, 95, 107 ], [ 17, 96, 67 ], [ 17, 97, 112 ], [ 17, 98, 51 ], [ 17, 99, 94 ], [ 17, 100, 99 ], [ 17, 101, 85 ], [ 17, 102, 112 ], [ 17, 103, 67 ], [ 17, 104, 85 ], [ 17, 105, 99 ], [ 17, 106, 94 ], [ 17, 107, 51 ], [ 17, 108, 94 ], [ 17, 109, 51 ], [ 17, 110, 99 ], [ 17, 111, 85 ], [ 17, 112, 112 ], [ 17, 113, 67 ], [ 17, 114, 85 ], [ 17, 115, 99 ], [ 17, 116, 51 ], [ 17, 117, 94 ], [ 17, 118, 67 ], [ 17, 119, 112 ], [ 18, 0, 0 ], [ 18, 1, 3 ], [ 18, 2, 8 ], [ 18, 3, 11 ], [ 18, 4, 15 ], [ 18, 5, 16 ], [ 18, 6, 11 ], [ 18, 7, 16 ], [ 18, 8, 15 ], [ 18, 9, 0 ], [ 18, 10, 8 ], [ 18, 11, 3 ], [ 18, 12, 3 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 8 ], [ 18, 16, 0 ], [ 18, 17, 11 ], [ 18, 18, 0 ], [ 18, 19, 8 ], [ 18, 20, 11 ], [ 18, 21, 15 ], [ 18, 22, 3 ], [ 18, 23, 16 ], [ 18, 24, 45 ], [ 18, 25, 46 ], [ 18, 26, 71 ], [ 18, 27, 67 ], [ 18, 28, 94 ], [ 18, 29, 90 ], [ 18, 30, 67 ], [ 18, 31, 90 ], [ 18, 32, 94 ], [ 18, 33, 45 ], [ 18, 34, 71 ], [ 18, 35, 46 ], [ 18, 36, 46 ], [ 18, 37, 94 ], [ 18, 38, 90 ], [ 18, 39, 71 ], [ 18, 40, 45 ], [ 18, 41, 67 ], [ 18, 42, 45 ], [ 18, 43, 71 ], [ 18, 44, 67 ], [ 18, 45, 94 ], [ 18, 46, 46 ], [ 18, 47, 90 ], [ 18, 48, 111 ], [ 18, 49, 116 ], [ 18, 50, 63 ], [ 18, 51, 48 ], [ 18, 52, 86 ], [ 18, 53, 73 ], [ 18, 54, 48 ], [ 18, 55, 73 ], [ 18, 56, 86 ], [ 18, 57, 111 ], [ 18, 58, 63 ], [ 18, 59, 116 ], [ 18, 60, 116 ], [ 18, 61, 86 ], [ 18, 62, 73 ], [ 18, 63, 63 ], [ 18, 64, 111 ], [ 18, 65, 48 ], [ 18, 66, 111 ], [ 18, 67, 63 ], [ 18, 68, 48 ], [ 18, 69, 86 ], [ 18, 70, 116 ], [ 18, 71, 73 ], [ 18, 72, 107 ], [ 18, 73, 115 ], [ 18, 74, 41 ], [ 18, 75, 26 ], [ 18, 76, 78 ], [ 18, 77, 77 ], [ 18, 78, 26 ], [ 18, 79, 77 ], [ 18, 80, 78 ], [ 18, 81, 107 ], [ 18, 82, 41 ], [ 18, 83, 115 ], [ 18, 84, 115 ], [ 18, 85, 78 ], [ 18, 86, 77 ], [ 18, 87, 41 ], [ 18, 88, 107 ], [ 18, 89, 26 ], [ 18, 90, 107 ], [ 18, 91, 41 ], [ 18, 92, 26 ], [ 18, 93, 78 ], [ 18, 94, 115 ], [ 18, 95, 77 ], [ 18, 96, 104 ], [ 18, 97, 108 ], [ 18, 98, 34 ], [ 18, 99, 25 ], [ 18, 100, 55 ], [ 18, 101, 52 ], [ 18, 102, 25 ], [ 18, 103, 52 ], [ 18, 104, 55 ], [ 18, 105, 104 ], [ 18, 106, 34 ], [ 18, 107, 108 ], [ 18, 108, 108 ], [ 18, 109, 55 ], [ 18, 110, 52 ], [ 18, 111, 34 ], [ 18, 112, 104 ], [ 18, 113, 25 ], [ 18, 114, 104 ], [ 18, 115, 34 ], [ 18, 116, 25 ], [ 18, 117, 55 ], [ 18, 118, 108 ], [ 18, 119, 52 ], [ 19, 0, 0 ], [ 19, 1, 3 ], [ 19, 2, 12 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 5, 11 ], [ 19, 6, 11 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 9, 3 ], [ 19, 10, 20 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 13, 3 ], [ 19, 14, 20 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 17, 12 ], [ 19, 18, 12 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 21, 11 ], [ 19, 22, 20 ], [ 19, 23, 7 ], [ 19, 24, 45 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 27, 90 ], [ 19, 28, 68 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 31, 90 ], [ 19, 32, 23 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 35, 45 ], [ 19, 36, 68 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 39, 90 ], [ 19, 40, 23 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 43, 45 ], [ 19, 44, 23 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 47, 68 ], [ 19, 48, 111 ], [ 19, 49, 116 ], [ 19, 50, 93 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 53, 48 ], [ 19, 54, 48 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 57, 116 ], [ 19, 58, 7 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 61, 116 ], [ 19, 62, 7 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 65, 93 ], [ 19, 66, 93 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 69, 48 ], [ 19, 70, 7 ], [ 19, 71, 68 ], [ 19, 72, 111 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 75, 29 ], [ 19, 76, 67 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 79, 29 ], [ 19, 80, 0 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 83, 111 ], [ 19, 84, 67 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 87, 29 ], [ 19, 88, 0 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 91, 111 ], [ 19, 92, 0 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 95, 67 ], [ 19, 96, 116 ], [ 19, 97, 103 ], [ 19, 98, 46 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 101, 73 ], [ 19, 102, 73 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 105, 103 ], [ 19, 106, 16 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 109, 103 ], [ 19, 110, 16 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 113, 46 ], [ 19, 114, 46 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 117, 73 ], [ 19, 118, 16 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 1, 15 ], [ 20, 2, 8 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 5, 4 ], [ 20, 6, 19 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 9, 8 ], [ 20, 10, 4 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 13, 19 ], [ 20, 14, 15 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 17, 4 ], [ 20, 18, 19 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 21, 15 ], [ 20, 22, 8 ], [ 20, 23, 16 ], [ 20, 24, 45 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 27, 90 ], [ 20, 28, 68 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 31, 23 ], [ 20, 32, 90 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 35, 68 ], [ 20, 36, 23 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 39, 45 ], [ 20, 40, 68 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 43, 23 ], [ 20, 44, 45 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 47, 90 ], [ 20, 48, 45 ], [ 20, 49, 94 ], [ 20, 50, 119 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 53, 25 ], [ 20, 54, 0 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 57, 119 ], [ 20, 58, 25 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 61, 0 ], [ 20, 62, 94 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 65, 25 ], [ 20, 66, 0 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 69, 94 ], [ 20, 70, 119 ], [ 20, 71, 74 ], [ 20, 72, 71 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 75, 74 ], [ 20, 76, 108 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 79, 16 ], [ 20, 80, 74 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 83, 108 ], [ 20, 84, 16 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 87, 71 ], [ 20, 88, 108 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 91, 16 ], [ 20, 92, 71 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 95, 74 ], [ 20, 96, 68 ], [ 20, 97, 42 ], [ 20, 98, 104 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 101, 52 ], [ 20, 102, 7 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 105, 104 ], [ 20, 106, 52 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 109, 7 ], [ 20, 110, 42 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 113, 52 ], [ 20, 114, 7 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 117, 42 ], [ 20, 118, 104 ], [ 20, 119, 25 ], [ 21, 0, 0 ], [ 21, 1, 15 ], [ 21, 2, 0 ], [ 21, 3, 11 ], [ 21, 4, 15 ], [ 21, 5, 11 ], [ 21, 6, 19 ], [ 21, 7, 23 ], [ 21, 8, 19 ], [ 21, 9, 11 ], [ 21, 10, 23 ], [ 21, 11, 11 ], [ 21, 12, 20 ], [ 21, 13, 23 ], [ 21, 14, 20 ], [ 21, 15, 15 ], [ 21, 16, 23 ], [ 21, 17, 15 ], [ 21, 18, 20 ], [ 21, 19, 19 ], [ 21, 20, 20 ], [ 21, 21, 0 ], [ 21, 22, 19 ], [ 21, 23, 0 ], [ 21, 24, 45 ], [ 21, 25, 94 ], [ 21, 26, 45 ], [ 21, 27, 67 ], [ 21, 28, 94 ], [ 21, 29, 67 ], [ 21, 30, 19 ], [ 21, 31, 23 ], [ 21, 32, 19 ], [ 21, 33, 67 ], [ 21, 34, 23 ], [ 21, 35, 67 ], [ 21, 36, 20 ], [ 21, 37, 23 ], [ 21, 38, 20 ], [ 21, 39, 94 ], [ 21, 40, 23 ], [ 21, 41, 94 ], [ 21, 42, 20 ], [ 21, 43, 19 ], [ 21, 44, 20 ], [ 21, 45, 45 ], [ 21, 46, 19 ], [ 21, 47, 45 ], [ 21, 48, 45 ], [ 21, 49, 94 ], [ 21, 50, 45 ], [ 21, 51, 99 ], [ 21, 52, 94 ], [ 21, 53, 99 ], [ 21, 54, 0 ], [ 21, 55, 15 ], [ 21, 56, 0 ], [ 21, 57, 99 ], [ 21, 58, 15 ], [ 21, 59, 99 ], [ 21, 60, 20 ], [ 21, 61, 15 ], [ 21, 62, 20 ], [ 21, 63, 94 ], [ 21, 64, 15 ], [ 21, 65, 94 ], [ 21, 66, 20 ], [ 21, 67, 0 ], [ 21, 68, 20 ], [ 21, 69, 45 ], [ 21, 70, 0 ], [ 21, 71, 45 ], [ 21, 72, 45 ], [ 21, 73, 67 ], [ 21, 74, 45 ], [ 21, 75, 99 ], [ 21, 76, 67 ], [ 21, 77, 99 ], [ 21, 78, 0 ], [ 21, 79, 11 ], [ 21, 80, 0 ], [ 21, 81, 99 ], [ 21, 82, 11 ], [ 21, 83, 99 ], [ 21, 84, 19 ], [ 21, 85, 11 ], [ 21, 86, 19 ], [ 21, 87, 67 ], [ 21, 88, 11 ], [ 21, 89, 67 ], [ 21, 90, 19 ], [ 21, 91, 0 ], [ 21, 92, 19 ], [ 21, 93, 45 ], [ 21, 94, 0 ], [ 21, 95, 45 ], [ 21, 96, 94 ], [ 21, 97, 67 ], [ 21, 98, 94 ], [ 21, 99, 99 ], [ 21, 100, 67 ], [ 21, 101, 99 ], [ 21, 102, 15 ], [ 21, 103, 11 ], [ 21, 104, 15 ], [ 21, 105, 99 ], [ 21, 106, 11 ], [ 21, 107, 99 ], [ 21, 108, 23 ], [ 21, 109, 11 ], [ 21, 110, 23 ], [ 21, 111, 67 ], [ 21, 112, 11 ], [ 21, 113, 67 ], [ 21, 114, 23 ], [ 21, 115, 15 ], [ 21, 116, 23 ], [ 21, 117, 94 ], [ 21, 118, 15 ], [ 21, 119, 94 ], [ 22, 0, 0 ], [ 22, 1, 7 ], [ 22, 2, 12 ], [ 22, 3, 11 ], [ 22, 4, 15 ], [ 22, 5, 4 ], [ 22, 6, 7 ], [ 22, 7, 0 ], [ 22, 8, 4 ], [ 22, 9, 15 ], [ 22, 10, 11 ], [ 22, 11, 12 ], [ 22, 12, 11 ], [ 22, 13, 12 ], [ 22, 14, 15 ], [ 22, 15, 4 ], [ 22, 16, 7 ], [ 22, 17, 0 ], [ 22, 18, 4 ], [ 22, 19, 15 ], [ 22, 20, 12 ], [ 22, 21, 11 ], [ 22, 22, 0 ], [ 22, 23, 7 ], [ 22, 24, 45 ], [ 22, 25, 68 ], [ 22, 26, 93 ], [ 22, 27, 67 ], [ 22, 28, 94 ], [ 22, 29, 42 ], [ 22, 30, 68 ], [ 22, 31, 45 ], [ 22, 32, 42 ], [ 22, 33, 94 ], [ 22, 34, 67 ], [ 22, 35, 93 ], [ 22, 36, 67 ], [ 22, 37, 93 ], [ 22, 38, 94 ], [ 22, 39, 42 ], [ 22, 40, 68 ], [ 22, 41, 45 ], [ 22, 42, 42 ], [ 22, 43, 94 ], [ 22, 44, 93 ], [ 22, 45, 67 ], [ 22, 46, 45 ], [ 22, 47, 68 ], [ 22, 48, 33 ], [ 22, 49, 56 ], [ 22, 50, 107 ], [ 22, 51, 51 ], [ 22, 52, 112 ], [ 22, 53, 26 ], [ 22, 54, 56 ], [ 22, 55, 33 ], [ 22, 56, 26 ], [ 22, 57, 112 ], [ 22, 58, 51 ], [ 22, 59, 107 ], [ 22, 60, 51 ], [ 22, 61, 107 ], [ 22, 62, 112 ], [ 22, 63, 26 ], [ 22, 64, 56 ], [ 22, 65, 33 ], [ 22, 66, 26 ], [ 22, 67, 112 ], [ 22, 68, 107 ], [ 22, 69, 51 ], [ 22, 70, 33 ], [ 22, 71, 56 ], [ 22, 72, 89 ], [ 22, 73, 60 ], [ 22, 74, 119 ], [ 22, 75, 52 ], [ 22, 76, 108 ], [ 22, 77, 74 ], [ 22, 78, 60 ], [ 22, 79, 89 ], [ 22, 80, 74 ], [ 22, 81, 108 ], [ 22, 82, 52 ], [ 22, 83, 119 ], [ 22, 84, 52 ], [ 22, 85, 119 ], [ 22, 86, 108 ], [ 22, 87, 74 ], [ 22, 88, 60 ], [ 22, 89, 89 ], [ 22, 90, 74 ], [ 22, 91, 108 ], [ 22, 92, 119 ], [ 22, 93, 52 ], [ 22, 94, 89 ], [ 22, 95, 60 ], [ 22, 96, 82 ], [ 22, 97, 37 ], [ 22, 98, 116 ], [ 22, 99, 29 ], [ 22, 100, 103 ], [ 22, 101, 73 ], [ 22, 102, 37 ], [ 22, 103, 82 ], [ 22, 104, 73 ], [ 22, 105, 103 ], [ 22, 106, 29 ], [ 22, 107, 116 ], [ 22, 108, 29 ], [ 22, 109, 116 ], [ 22, 110, 103 ], [ 22, 111, 73 ], [ 22, 112, 37 ], [ 22, 113, 82 ], [ 22, 114, 73 ], [ 22, 115, 103 ], [ 22, 116, 116 ], [ 22, 117, 29 ], [ 22, 118, 82 ], [ 22, 119, 37 ], [ 23, 0, 0 ], [ 23, 1, 7 ], [ 23, 2, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 5, 16 ], [ 23, 6, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 9, 16 ], [ 23, 10, 0 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 13, 0 ], [ 23, 14, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 17, 7 ], [ 23, 18, 16 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 21, 0 ], [ 23, 22, 7 ], [ 23, 23, 0 ], [ 23, 24, 45 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 27, 90 ], [ 23, 28, 68 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 31, 45 ], [ 23, 32, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 35, 90 ], [ 23, 36, 90 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 39, 68 ], [ 23, 40, 45 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 43, 68 ], [ 23, 44, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 47, 45 ], [ 23, 48, 33 ], [ 23, 49, 56 ], [ 23, 50, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 53, 100 ], [ 23, 54, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 57, 100 ], [ 23, 58, 33 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 61, 33 ], [ 23, 62, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 65, 56 ], [ 23, 66, 100 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 69, 33 ], [ 23, 70, 56 ], [ 23, 71, 33 ], [ 23, 72, 41 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 75, 96 ], [ 23, 76, 78 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 79, 41 ], [ 23, 80, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 83, 96 ], [ 23, 84, 96 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 87, 78 ], [ 23, 88, 41 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 91, 78 ], [ 23, 92, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 95, 41 ], [ 23, 96, 64 ], [ 23, 97, 85 ], [ 23, 98, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 101, 99 ], [ 23, 102, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 105, 99 ], [ 23, 106, 64 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 109, 64 ], [ 23, 110, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 113, 85 ], [ 23, 114, 99 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 117, 64 ], [ 23, 118, 85 ], [ 23, 119, 64 ], [ 24, 0, 0 ], [ 24, 1, 0 ], [ 24, 2, 0 ], [ 24, 3, 0 ], [ 24, 4, 0 ], [ 24, 5, 0 ], [ 24, 6, 48 ], [ 24, 7, 48 ], [ 24, 8, 48 ], [ 24, 9, 48 ], [ 24, 10, 48 ], [ 24, 11, 48 ], [ 24, 12, 74 ], [ 24, 13, 74 ], [ 24, 14, 74 ], [ 24, 15, 74 ], [ 24, 16, 74 ], [ 24, 17, 74 ], [ 24, 18, 99 ], [ 24, 19, 99 ], [ 24, 20, 99 ], [ 24, 21, 99 ], [ 24, 22, 99 ], [ 24, 23, 99 ], [ 24, 24, 0 ], [ 24, 25, 0 ], [ 24, 26, 0 ], [ 24, 27, 0 ], [ 24, 28, 0 ], [ 24, 29, 0 ], [ 24, 30, 30 ], [ 24, 31, 30 ], [ 24, 32, 30 ], [ 24, 33, 30 ], [ 24, 34, 30 ], [ 24, 35, 30 ], [ 24, 36, 38 ], [ 24, 37, 38 ], [ 24, 38, 38 ], [ 24, 39, 38 ], [ 24, 40, 38 ], [ 24, 41, 38 ], [ 24, 42, 45 ], [ 24, 43, 45 ], [ 24, 44, 45 ], [ 24, 45, 45 ], [ 24, 46, 45 ], [ 24, 47, 45 ], [ 24, 48, 48 ], [ 24, 49, 48 ], [ 24, 50, 48 ], [ 24, 51, 48 ], [ 24, 52, 48 ], [ 24, 53, 48 ], [ 24, 54, 30 ], [ 24, 55, 30 ], [ 24, 56, 30 ], [ 24, 57, 30 ], [ 24, 58, 30 ], [ 24, 59, 30 ], [ 24, 60, 26 ], [ 24, 61, 26 ], [ 24, 62, 26 ], [ 24, 63, 26 ], [ 24, 64, 26 ], [ 24, 65, 26 ], [ 24, 66, 29 ], [ 24, 67, 29 ], [ 24, 68, 29 ], [ 24, 69, 29 ], [ 24, 70, 29 ], [ 24, 71, 29 ], [ 24, 72, 74 ], [ 24, 73, 74 ], [ 24, 74, 74 ], [ 24, 75, 74 ], [ 24, 76, 74 ], [ 24, 77, 74 ], [ 24, 78, 38 ], [ 24, 79, 38 ], [ 24, 80, 38 ], [ 24, 81, 38 ], [ 24, 82, 38 ], [ 24, 83, 38 ], [ 24, 84, 26 ], [ 24, 85, 26 ], [ 24, 86, 26 ], [ 24, 87, 26 ], [ 24, 88, 26 ], [ 24, 89, 26 ], [ 24, 90, 25 ], [ 24, 91, 25 ], [ 24, 92, 25 ], [ 24, 93, 25 ], [ 24, 94, 25 ], [ 24, 95, 25 ], [ 24, 96, 99 ], [ 24, 97, 99 ], [ 24, 98, 99 ], [ 24, 99, 99 ], [ 24, 100, 99 ], [ 24, 101, 99 ], [ 24, 102, 45 ], [ 24, 103, 45 ], [ 24, 104, 45 ], [ 24, 105, 45 ], [ 24, 106, 45 ], [ 24, 107, 45 ], [ 24, 108, 29 ], [ 24, 109, 29 ], [ 24, 110, 29 ], [ 24, 111, 29 ], [ 24, 112, 29 ], [ 24, 113, 29 ], [ 24, 114, 25 ], [ 24, 115, 25 ], [ 24, 116, 25 ], [ 24, 117, 25 ], [ 24, 118, 25 ], [ 24, 119, 25 ], [ 25, 0, 0 ], [ 25, 1, 0 ], [ 25, 2, 3 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 5, 4 ], [ 25, 6, 48 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 9, 63 ], [ 25, 10, 68 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 13, 100 ], [ 25, 14, 119 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 17, 108 ], [ 25, 18, 77 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 21, 94 ], [ 25, 22, 85 ], [ 25, 23, 85 ], [ 25, 24, 0 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 27, 3 ], [ 25, 28, 4 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 31, 30 ], [ 25, 32, 85 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 35, 108 ], [ 25, 36, 46 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 39, 94 ], [ 25, 40, 68 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 43, 41 ], [ 25, 44, 119 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 47, 63 ], [ 25, 48, 48 ], [ 25, 49, 48 ], [ 25, 50, 63 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 53, 68 ], [ 25, 54, 30 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 57, 85 ], [ 25, 58, 108 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 61, 41 ], [ 25, 62, 77 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 65, 4 ], [ 25, 66, 46 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 69, 100 ], [ 25, 70, 3 ], [ 25, 71, 3 ], [ 25, 72, 100 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 75, 119 ], [ 25, 76, 108 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 79, 46 ], [ 25, 80, 94 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 83, 68 ], [ 25, 84, 41 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 87, 77 ], [ 25, 88, 4 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 91, 30 ], [ 25, 92, 48 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 95, 0 ], [ 25, 96, 77 ], [ 25, 97, 77 ], [ 25, 98, 94 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 101, 85 ], [ 25, 102, 41 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 105, 119 ], [ 25, 106, 63 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 109, 46 ], [ 25, 110, 100 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 113, 3 ], [ 25, 114, 30 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 117, 48 ], [ 25, 118, 0 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 1, 4 ], [ 26, 2, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 5, 3 ], [ 26, 6, 86 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 9, 73 ], [ 26, 10, 93 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 13, 71 ], [ 26, 14, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 17, 52 ], [ 26, 18, 115 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 21, 99 ], [ 26, 22, 112 ], [ 26, 23, 99 ], [ 26, 24, 0 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 27, 3 ], [ 26, 28, 4 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 31, 115 ], [ 26, 32, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 35, 37 ], [ 26, 36, 86 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 39, 34 ], [ 26, 40, 112 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 43, 71 ], [ 26, 44, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 47, 45 ], [ 26, 48, 86 ], [ 26, 49, 93 ], [ 26, 50, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 53, 73 ], [ 26, 54, 60 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 57, 37 ], [ 26, 58, 115 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 61, 99 ], [ 26, 62, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 65, 45 ], [ 26, 66, 4 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 69, 34 ], [ 26, 70, 52 ], [ 26, 71, 34 ], [ 26, 72, 60 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 75, 52 ], [ 26, 76, 71 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 79, 112 ], [ 26, 80, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 83, 34 ], [ 26, 84, 0 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 87, 45 ], [ 26, 88, 99 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 91, 73 ], [ 26, 92, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 95, 37 ], [ 26, 96, 115 ], [ 26, 97, 112 ], [ 26, 98, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 101, 99 ], [ 26, 102, 93 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 105, 45 ], [ 26, 106, 71 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 109, 52 ], [ 26, 110, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 113, 34 ], [ 26, 114, 3 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 117, 37 ], [ 26, 118, 73 ], [ 26, 119, 37 ], [ 27, 0, 0 ], [ 27, 1, 4 ], [ 27, 2, 4 ], [ 27, 3, 0 ], [ 27, 4, 0 ], [ 27, 5, 4 ], [ 27, 6, 86 ], [ 27, 7, 93 ], [ 27, 8, 93 ], [ 27, 9, 86 ], [ 27, 10, 86 ], [ 27, 11, 93 ], [ 27, 12, 108 ], [ 27, 13, 119 ], [ 27, 14, 119 ], [ 27, 15, 108 ], [ 27, 16, 108 ], [ 27, 17, 119 ], [ 27, 18, 67 ], [ 27, 19, 64 ], [ 27, 20, 64 ], [ 27, 21, 67 ], [ 27, 22, 67 ], [ 27, 23, 64 ], [ 27, 24, 0 ], [ 27, 25, 4 ], [ 27, 26, 4 ], [ 27, 27, 0 ], [ 27, 28, 0 ], [ 27, 29, 4 ], [ 27, 30, 60 ], [ 27, 31, 115 ], [ 27, 32, 115 ], [ 27, 33, 60 ], [ 27, 34, 60 ], [ 27, 35, 115 ], [ 27, 36, 68 ], [ 27, 37, 94 ], [ 27, 38, 94 ], [ 27, 39, 68 ], [ 27, 40, 68 ], [ 27, 41, 94 ], [ 27, 42, 111 ], [ 27, 43, 89 ], [ 27, 44, 89 ], [ 27, 45, 111 ], [ 27, 46, 111 ], [ 27, 47, 89 ], [ 27, 48, 86 ], [ 27, 49, 93 ], [ 27, 50, 93 ], [ 27, 51, 86 ], [ 27, 52, 86 ], [ 27, 53, 93 ], [ 27, 54, 60 ], [ 27, 55, 115 ], [ 27, 56, 115 ], [ 27, 57, 60 ], [ 27, 58, 60 ], [ 27, 59, 115 ], [ 27, 60, 59 ], [ 27, 61, 11 ], [ 27, 62, 11 ], [ 27, 63, 59 ], [ 27, 64, 59 ], [ 27, 65, 11 ], [ 27, 66, 104 ], [ 27, 67, 20 ], [ 27, 68, 20 ], [ 27, 69, 104 ], [ 27, 70, 104 ], [ 27, 71, 20 ], [ 27, 72, 108 ], [ 27, 73, 119 ], [ 27, 74, 119 ], [ 27, 75, 108 ], [ 27, 76, 108 ], [ 27, 77, 119 ], [ 27, 78, 68 ], [ 27, 79, 94 ], [ 27, 80, 94 ], [ 27, 81, 68 ], [ 27, 82, 68 ], [ 27, 83, 94 ], [ 27, 84, 59 ], [ 27, 85, 11 ], [ 27, 86, 11 ], [ 27, 87, 59 ], [ 27, 88, 59 ], [ 27, 89, 11 ], [ 27, 90, 78 ], [ 27, 91, 12 ], [ 27, 92, 12 ], [ 27, 93, 78 ], [ 27, 94, 78 ], [ 27, 95, 12 ], [ 27, 96, 67 ], [ 27, 97, 64 ], [ 27, 98, 64 ], [ 27, 99, 67 ], [ 27, 100, 67 ], [ 27, 101, 64 ], [ 27, 102, 111 ], [ 27, 103, 89 ], [ 27, 104, 89 ], [ 27, 105, 111 ], [ 27, 106, 111 ], [ 27, 107, 89 ], [ 27, 108, 104 ], [ 27, 109, 20 ], [ 27, 110, 20 ], [ 27, 111, 104 ], [ 27, 112, 104 ], [ 27, 113, 20 ], [ 27, 114, 78 ], [ 27, 115, 12 ], [ 27, 116, 12 ], [ 27, 117, 78 ], [ 27, 118, 78 ], [ 27, 119, 12 ], [ 28, 0, 0 ], [ 28, 1, 3 ], [ 28, 2, 3 ], [ 28, 3, 0 ], [ 28, 4, 0 ], [ 28, 5, 3 ], [ 28, 6, 111 ], [ 28, 7, 116 ], [ 28, 8, 116 ], [ 28, 9, 111 ], [ 28, 10, 111 ], [ 28, 11, 116 ], [ 28, 12, 71 ], [ 28, 13, 60 ], [ 28, 14, 60 ], [ 28, 15, 71 ], [ 28, 16, 71 ], [ 28, 17, 60 ], [ 28, 18, 94 ], [ 28, 19, 85 ], [ 28, 20, 85 ], [ 28, 21, 94 ], [ 28, 22, 94 ], [ 28, 23, 85 ], [ 28, 24, 0 ], [ 28, 25, 3 ], [ 28, 26, 3 ], [ 28, 27, 0 ], [ 28, 28, 0 ], [ 28, 29, 3 ], [ 28, 30, 67 ], [ 28, 31, 90 ], [ 28, 32, 90 ], [ 28, 33, 67 ], [ 28, 34, 67 ], [ 28, 35, 90 ], [ 28, 36, 112 ], [ 28, 37, 86 ], [ 28, 38, 86 ], [ 28, 39, 112 ], [ 28, 40, 112 ], [ 28, 41, 86 ], [ 28, 42, 119 ], [ 28, 43, 63 ], [ 28, 44, 63 ], [ 28, 45, 119 ], [ 28, 46, 119 ], [ 28, 47, 63 ], [ 28, 48, 111 ], [ 28, 49, 116 ], [ 28, 50, 116 ], [ 28, 51, 111 ], [ 28, 52, 111 ], [ 28, 53, 116 ], [ 28, 54, 67 ], [ 28, 55, 90 ], [ 28, 56, 90 ], [ 28, 57, 67 ], [ 28, 58, 67 ], [ 28, 59, 90 ], [ 28, 60, 15 ], [ 28, 61, 81 ], [ 28, 62, 81 ], [ 28, 63, 15 ], [ 28, 64, 15 ], [ 28, 65, 81 ], [ 28, 66, 8 ], [ 28, 67, 56 ], [ 28, 68, 56 ], [ 28, 69, 8 ], [ 28, 70, 8 ], [ 28, 71, 56 ], [ 28, 72, 71 ], [ 28, 73, 60 ], [ 28, 74, 60 ], [ 28, 75, 71 ], [ 28, 76, 71 ], [ 28, 77, 60 ], [ 28, 78, 112 ], [ 28, 79, 86 ], [ 28, 80, 86 ], [ 28, 81, 112 ], [ 28, 82, 112 ], [ 28, 83, 86 ], [ 28, 84, 15 ], [ 28, 85, 81 ], [ 28, 86, 81 ], [ 28, 87, 15 ], [ 28, 88, 15 ], [ 28, 89, 81 ], [ 28, 90, 19 ], [ 28, 91, 103 ], [ 28, 92, 103 ], [ 28, 93, 19 ], [ 28, 94, 19 ], [ 28, 95, 103 ], [ 28, 96, 94 ], [ 28, 97, 85 ], [ 28, 98, 85 ], [ 28, 99, 94 ], [ 28, 100, 94 ], [ 28, 101, 85 ], [ 28, 102, 119 ], [ 28, 103, 63 ], [ 28, 104, 63 ], [ 28, 105, 119 ], [ 28, 106, 119 ], [ 28, 107, 63 ], [ 28, 108, 8 ], [ 28, 109, 56 ], [ 28, 110, 56 ], [ 28, 111, 8 ], [ 28, 112, 8 ], [ 28, 113, 56 ], [ 28, 114, 19 ], [ 28, 115, 103 ], [ 28, 116, 103 ], [ 28, 117, 19 ], [ 28, 118, 19 ], [ 28, 119, 103 ], [ 29, 0, 0 ], [ 29, 1, 3 ], [ 29, 2, 4 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 5, 0 ], [ 29, 6, 111 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 9, 116 ], [ 29, 10, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 13, 90 ], [ 29, 14, 74 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 17, 89 ], [ 29, 18, 64 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 21, 67 ], [ 29, 22, 51 ], [ 29, 23, 64 ], [ 29, 24, 0 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 27, 3 ], [ 29, 28, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 31, 90 ], [ 29, 32, 42 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 35, 67 ], [ 29, 36, 64 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 39, 116 ], [ 29, 40, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 43, 111 ], [ 29, 44, 33 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 47, 89 ], [ 29, 48, 111 ], [ 29, 49, 116 ], [ 29, 50, 96 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 53, 111 ], [ 29, 54, 67 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 57, 90 ], [ 29, 58, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 61, 3 ], [ 29, 62, 33 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 65, 51 ], [ 29, 66, 74 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 69, 0 ], [ 29, 70, 38 ], [ 29, 71, 74 ], [ 29, 72, 89 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 75, 90 ], [ 29, 76, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 79, 116 ], [ 29, 80, 38 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 83, 64 ], [ 29, 84, 51 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 87, 3 ], [ 29, 88, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 91, 4 ], [ 29, 92, 42 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 95, 96 ], [ 29, 96, 64 ], [ 29, 97, 67 ], [ 29, 98, 51 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 101, 64 ], [ 29, 102, 89 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 105, 111 ], [ 29, 106, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 109, 0 ], [ 29, 110, 38 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 113, 74 ], [ 29, 114, 96 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 117, 4 ], [ 29, 118, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 1, 0 ], [ 30, 2, 78 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 5, 103 ], [ 30, 6, 48 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 9, 86 ], [ 30, 10, 111 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 13, 60 ], [ 30, 14, 8 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 17, 108 ], [ 30, 18, 67 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 21, 11 ], [ 30, 22, 85 ], [ 30, 23, 85 ], [ 30, 24, 48 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 27, 60 ], [ 30, 28, 67 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 31, 0 ], [ 30, 32, 38 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 35, 45 ], [ 30, 36, 78 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 39, 26 ], [ 30, 40, 42 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 43, 103 ], [ 30, 44, 29 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 47, 37 ], [ 30, 48, 0 ], [ 30, 49, 0 ], [ 30, 50, 8 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 53, 11 ], [ 30, 54, 48 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 57, 26 ], [ 30, 58, 29 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 61, 86 ], [ 30, 62, 38 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 65, 34 ], [ 30, 66, 111 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 69, 45 ], [ 30, 70, 33 ], [ 30, 71, 33 ], [ 30, 72, 78 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 75, 86 ], [ 30, 76, 85 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 79, 60 ], [ 30, 80, 38 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 83, 37 ], [ 30, 84, 8 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 87, 26 ], [ 30, 88, 33 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 91, 108 ], [ 30, 92, 42 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 95, 34 ], [ 30, 96, 103 ], [ 30, 97, 103 ], [ 30, 98, 111 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 101, 108 ], [ 30, 102, 67 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 105, 45 ], [ 30, 106, 42 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 109, 11 ], [ 30, 110, 29 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 113, 34 ], [ 30, 114, 85 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 117, 37 ], [ 30, 118, 33 ], [ 30, 119, 33 ], [ 31, 0, 0 ], [ 31, 1, 0 ], [ 31, 2, 107 ], [ 31, 3, 107 ], [ 31, 4, 82 ], [ 31, 5, 82 ], [ 31, 6, 48 ], [ 31, 7, 48 ], [ 31, 8, 116 ], [ 31, 9, 116 ], [ 31, 10, 93 ], [ 31, 11, 93 ], [ 31, 12, 71 ], [ 31, 13, 71 ], [ 31, 14, 16 ], [ 31, 15, 16 ], [ 31, 16, 74 ], [ 31, 17, 74 ], [ 31, 18, 64 ], [ 31, 19, 64 ], [ 31, 20, 23 ], [ 31, 21, 23 ], [ 31, 22, 99 ], [ 31, 23, 99 ], [ 31, 24, 48 ], [ 31, 25, 48 ], [ 31, 26, 71 ], [ 31, 27, 71 ], [ 31, 28, 64 ], [ 31, 29, 64 ], [ 31, 30, 0 ], [ 31, 31, 0 ], [ 31, 32, 94 ], [ 31, 33, 94 ], [ 31, 34, 119 ], [ 31, 35, 119 ], [ 31, 36, 107 ], [ 31, 37, 107 ], [ 31, 38, 77 ], [ 31, 39, 77 ], [ 31, 40, 12 ], [ 31, 41, 12 ], [ 31, 42, 82 ], [ 31, 43, 82 ], [ 31, 44, 100 ], [ 31, 45, 100 ], [ 31, 46, 19 ], [ 31, 47, 19 ], [ 31, 48, 0 ], [ 31, 49, 0 ], [ 31, 50, 16 ], [ 31, 51, 16 ], [ 31, 52, 23 ], [ 31, 53, 23 ], [ 31, 54, 48 ], [ 31, 55, 48 ], [ 31, 56, 77 ], [ 31, 57, 77 ], [ 31, 58, 100 ], [ 31, 59, 100 ], [ 31, 60, 116 ], [ 31, 61, 116 ], [ 31, 62, 94 ], [ 31, 63, 94 ], [ 31, 64, 56 ], [ 31, 65, 56 ], [ 31, 66, 93 ], [ 31, 67, 93 ], [ 31, 68, 119 ], [ 31, 69, 119 ], [ 31, 70, 59 ], [ 31, 71, 59 ], [ 31, 72, 107 ], [ 31, 73, 107 ], [ 31, 74, 116 ], [ 31, 75, 116 ], [ 31, 76, 99 ], [ 31, 77, 99 ], [ 31, 78, 71 ], [ 31, 79, 71 ], [ 31, 80, 94 ], [ 31, 81, 94 ], [ 31, 82, 19 ], [ 31, 83, 19 ], [ 31, 84, 16 ], [ 31, 85, 16 ], [ 31, 86, 77 ], [ 31, 87, 77 ], [ 31, 88, 59 ], [ 31, 89, 59 ], [ 31, 90, 74 ], [ 31, 91, 74 ], [ 31, 92, 12 ], [ 31, 93, 12 ], [ 31, 94, 56 ], [ 31, 95, 56 ], [ 31, 96, 82 ], [ 31, 97, 82 ], [ 31, 98, 93 ], [ 31, 99, 93 ], [ 31, 100, 74 ], [ 31, 101, 74 ], [ 31, 102, 64 ], [ 31, 103, 64 ], [ 31, 104, 119 ], [ 31, 105, 119 ], [ 31, 106, 12 ], [ 31, 107, 12 ], [ 31, 108, 23 ], [ 31, 109, 23 ], [ 31, 110, 100 ], [ 31, 111, 100 ], [ 31, 112, 56 ], [ 31, 113, 56 ], [ 31, 114, 99 ], [ 31, 115, 99 ], [ 31, 116, 19 ], [ 31, 117, 19 ], [ 31, 118, 59 ], [ 31, 119, 59 ], [ 32, 0, 0 ], [ 32, 1, 104 ], [ 32, 2, 78 ], [ 32, 3, 107 ], [ 32, 4, 82 ], [ 32, 5, 3 ], [ 32, 6, 12 ], [ 32, 7, 116 ], [ 32, 8, 48 ], [ 32, 9, 111 ], [ 32, 10, 68 ], [ 32, 11, 7 ], [ 32, 12, 74 ], [ 32, 13, 100 ], [ 32, 14, 60 ], [ 32, 15, 108 ], [ 32, 16, 71 ], [ 32, 17, 89 ], [ 32, 18, 94 ], [ 32, 19, 23 ], [ 32, 20, 64 ], [ 32, 21, 11 ], [ 32, 22, 51 ], [ 32, 23, 85 ], [ 32, 24, 48 ], [ 32, 25, 68 ], [ 32, 26, 60 ], [ 32, 27, 71 ], [ 32, 28, 64 ], [ 32, 29, 51 ], [ 32, 30, 74 ], [ 32, 31, 94 ], [ 32, 32, 0 ], [ 32, 33, 45 ], [ 32, 34, 104 ], [ 32, 35, 25 ], [ 32, 36, 12 ], [ 32, 37, 23 ], [ 32, 38, 78 ], [ 32, 39, 42 ], [ 32, 40, 107 ], [ 32, 41, 41 ], [ 32, 42, 116 ], [ 32, 43, 100 ], [ 32, 44, 82 ], [ 32, 45, 29 ], [ 32, 46, 3 ], [ 32, 47, 37 ], [ 32, 48, 78 ], [ 32, 49, 82 ], [ 32, 50, 74 ], [ 32, 51, 89 ], [ 32, 52, 94 ], [ 32, 53, 85 ], [ 32, 54, 60 ], [ 32, 55, 64 ], [ 32, 56, 12 ], [ 32, 57, 41 ], [ 32, 58, 116 ], [ 32, 59, 37 ], [ 32, 60, 0 ], [ 32, 61, 11 ], [ 32, 62, 48 ], [ 32, 63, 29 ], [ 32, 64, 111 ], [ 32, 65, 45 ], [ 32, 66, 104 ], [ 32, 67, 108 ], [ 32, 68, 68 ], [ 32, 69, 42 ], [ 32, 70, 7 ], [ 32, 71, 25 ], [ 32, 72, 0 ], [ 32, 73, 3 ], [ 32, 74, 12 ], [ 32, 75, 7 ], [ 32, 76, 23 ], [ 32, 77, 11 ], [ 32, 78, 48 ], [ 32, 79, 51 ], [ 32, 80, 74 ], [ 32, 81, 25 ], [ 32, 82, 100 ], [ 32, 83, 29 ], [ 32, 84, 78 ], [ 32, 85, 85 ], [ 32, 86, 60 ], [ 32, 87, 37 ], [ 32, 88, 108 ], [ 32, 89, 42 ], [ 32, 90, 107 ], [ 32, 91, 111 ], [ 32, 92, 71 ], [ 32, 93, 45 ], [ 32, 94, 89 ], [ 32, 95, 41 ], [ 32, 96, 104 ], [ 32, 97, 107 ], [ 32, 98, 116 ], [ 32, 99, 111 ], [ 32, 100, 100 ], [ 32, 101, 108 ], [ 32, 102, 68 ], [ 32, 103, 71 ], [ 32, 104, 94 ], [ 32, 105, 45 ], [ 32, 106, 23 ], [ 32, 107, 42 ], [ 32, 108, 82 ], [ 32, 109, 89 ], [ 32, 110, 64 ], [ 32, 111, 41 ], [ 32, 112, 11 ], [ 32, 113, 29 ], [ 32, 114, 3 ], [ 32, 115, 7 ], [ 32, 116, 51 ], [ 32, 117, 25 ], [ 32, 118, 85 ], [ 32, 119, 37 ], [ 33, 0, 0 ], [ 33, 1, 104 ], [ 33, 2, 4 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 5, 82 ], [ 33, 6, 12 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 9, 48 ], [ 33, 10, 96 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 13, 90 ], [ 33, 14, 16 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 17, 60 ], [ 33, 18, 99 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 21, 67 ], [ 33, 22, 94 ], [ 33, 23, 64 ], [ 33, 24, 48 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 27, 60 ], [ 33, 28, 67 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 31, 94 ], [ 33, 32, 99 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 35, 104 ], [ 33, 36, 96 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 39, 4 ], [ 33, 40, 12 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 43, 16 ], [ 33, 44, 90 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 47, 82 ], [ 33, 48, 78 ], [ 33, 49, 82 ], [ 33, 50, 90 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 53, 94 ], [ 33, 54, 60 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 57, 12 ], [ 33, 58, 16 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 61, 99 ], [ 33, 62, 67 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 65, 48 ], [ 33, 66, 4 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 69, 96 ], [ 33, 70, 104 ], [ 33, 71, 68 ], [ 33, 72, 104 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 75, 96 ], [ 33, 76, 99 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 79, 67 ], [ 33, 80, 94 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 83, 90 ], [ 33, 84, 82 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 87, 16 ], [ 33, 88, 4 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 91, 12 ], [ 33, 92, 48 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 95, 60 ], [ 33, 96, 0 ], [ 33, 97, 4 ], [ 33, 98, 12 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 101, 16 ], [ 33, 102, 48 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 105, 99 ], [ 33, 106, 96 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 109, 90 ], [ 33, 110, 60 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 113, 67 ], [ 33, 114, 104 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 117, 94 ], [ 33, 118, 82 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 1, 81 ], [ 34, 2, 107 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 5, 3 ], [ 34, 6, 19 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 9, 73 ], [ 34, 10, 48 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 13, 74 ], [ 34, 14, 60 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 17, 119 ], [ 34, 18, 115 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 21, 23 ], [ 34, 22, 67 ], [ 34, 23, 99 ], [ 34, 24, 48 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 27, 60 ], [ 34, 28, 67 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 31, 119 ], [ 34, 32, 81 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 35, 74 ], [ 34, 36, 23 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 39, 115 ], [ 34, 40, 107 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 43, 73 ], [ 34, 44, 3 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 47, 19 ], [ 34, 48, 103 ], [ 34, 49, 107 ], [ 34, 50, 119 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 53, 115 ], [ 34, 54, 67 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 57, 23 ], [ 34, 58, 19 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 61, 3 ], [ 34, 62, 73 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 65, 81 ], [ 34, 66, 74 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 69, 60 ], [ 34, 70, 48 ], [ 34, 71, 0 ], [ 34, 72, 3 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 75, 19 ], [ 34, 76, 23 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 79, 48 ], [ 34, 80, 74 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 83, 73 ], [ 34, 84, 115 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 87, 67 ], [ 34, 88, 60 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 91, 81 ], [ 34, 92, 119 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 95, 107 ], [ 34, 96, 78 ], [ 34, 97, 81 ], [ 34, 98, 73 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 101, 74 ], [ 34, 102, 60 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 105, 119 ], [ 34, 106, 115 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 109, 107 ], [ 34, 110, 23 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 113, 3 ], [ 34, 114, 19 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 117, 48 ], [ 34, 118, 67 ], [ 34, 119, 103 ], [ 35, 0, 0 ], [ 35, 1, 81 ], [ 35, 2, 4 ], [ 35, 3, 107 ], [ 35, 4, 82 ], [ 35, 5, 103 ], [ 35, 6, 19 ], [ 35, 7, 93 ], [ 35, 8, 7 ], [ 35, 9, 63 ], [ 35, 10, 86 ], [ 35, 11, 48 ], [ 35, 12, 16 ], [ 35, 13, 119 ], [ 35, 14, 8 ], [ 35, 15, 71 ], [ 35, 16, 108 ], [ 35, 17, 52 ], [ 35, 18, 77 ], [ 35, 19, 99 ], [ 35, 20, 85 ], [ 35, 21, 67 ], [ 35, 22, 112 ], [ 35, 23, 64 ], [ 35, 24, 48 ], [ 35, 25, 63 ], [ 35, 26, 52 ], [ 35, 27, 71 ], [ 35, 28, 64 ], [ 35, 29, 67 ], [ 35, 30, 99 ], [ 35, 31, 119 ], [ 35, 32, 25 ], [ 35, 33, 81 ], [ 35, 34, 38 ], [ 35, 35, 0 ], [ 35, 36, 77 ], [ 35, 37, 93 ], [ 35, 38, 26 ], [ 35, 39, 107 ], [ 35, 40, 42 ], [ 35, 41, 4 ], [ 35, 42, 16 ], [ 35, 43, 19 ], [ 35, 44, 37 ], [ 35, 45, 103 ], [ 35, 46, 46 ], [ 35, 47, 82 ], [ 35, 48, 103 ], [ 35, 49, 107 ], [ 35, 50, 108 ], [ 35, 51, 119 ], [ 35, 52, 112 ], [ 35, 53, 99 ], [ 35, 54, 67 ], [ 35, 55, 71 ], [ 35, 56, 42 ], [ 35, 57, 93 ], [ 35, 58, 46 ], [ 35, 59, 19 ], [ 35, 60, 85 ], [ 35, 61, 81 ], [ 35, 62, 37 ], [ 35, 63, 63 ], [ 35, 64, 25 ], [ 35, 65, 7 ], [ 35, 66, 8 ], [ 35, 67, 0 ], [ 35, 68, 26 ], [ 35, 69, 48 ], [ 35, 70, 38 ], [ 35, 71, 86 ], [ 35, 72, 82 ], [ 35, 73, 81 ], [ 35, 74, 86 ], [ 35, 75, 93 ], [ 35, 76, 85 ], [ 35, 77, 77 ], [ 35, 78, 64 ], [ 35, 79, 63 ], [ 35, 80, 38 ], [ 35, 81, 119 ], [ 35, 82, 37 ], [ 35, 83, 16 ], [ 35, 84, 112 ], [ 35, 85, 107 ], [ 35, 86, 46 ], [ 35, 87, 71 ], [ 35, 88, 26 ], [ 35, 89, 8 ], [ 35, 90, 7 ], [ 35, 91, 4 ], [ 35, 92, 25 ], [ 35, 93, 52 ], [ 35, 94, 42 ], [ 35, 95, 108 ], [ 35, 96, 4 ], [ 35, 97, 0 ], [ 35, 98, 7 ], [ 35, 99, 19 ], [ 35, 100, 8 ], [ 35, 101, 16 ], [ 35, 102, 52 ], [ 35, 103, 48 ], [ 35, 104, 25 ], [ 35, 105, 99 ], [ 35, 106, 26 ], [ 35, 107, 77 ], [ 35, 108, 108 ], [ 35, 109, 103 ], [ 35, 110, 42 ], [ 35, 111, 67 ], [ 35, 112, 37 ], [ 35, 113, 85 ], [ 35, 114, 86 ], [ 35, 115, 82 ], [ 35, 116, 38 ], [ 35, 117, 64 ], [ 35, 118, 46 ], [ 35, 119, 112 ], [ 36, 0, 0 ], [ 36, 1, 4 ], [ 36, 2, 56 ], [ 36, 3, 55 ], [ 36, 4, 107 ], [ 36, 5, 103 ], [ 36, 6, 86 ], [ 36, 7, 93 ], [ 36, 8, 48 ], [ 36, 9, 63 ], [ 36, 10, 96 ], [ 36, 11, 116 ], [ 36, 12, 74 ], [ 36, 13, 90 ], [ 36, 14, 8 ], [ 36, 15, 16 ], [ 36, 16, 108 ], [ 36, 17, 119 ], [ 36, 18, 77 ], [ 36, 19, 85 ], [ 36, 20, 23 ], [ 36, 21, 15 ], [ 36, 22, 67 ], [ 36, 23, 64 ], [ 36, 24, 74 ], [ 36, 25, 77 ], [ 36, 26, 86 ], [ 36, 27, 85 ], [ 36, 28, 93 ], [ 36, 29, 90 ], [ 36, 30, 56 ], [ 36, 31, 107 ], [ 36, 32, 8 ], [ 36, 33, 33 ], [ 36, 34, 23 ], [ 36, 35, 46 ], [ 36, 36, 0 ], [ 36, 37, 103 ], [ 36, 38, 48 ], [ 36, 39, 29 ], [ 36, 40, 67 ], [ 36, 41, 45 ], [ 36, 42, 4 ], [ 36, 43, 55 ], [ 36, 44, 96 ], [ 36, 45, 25 ], [ 36, 46, 108 ], [ 36, 47, 34 ], [ 36, 48, 8 ], [ 36, 49, 23 ], [ 36, 50, 0 ], [ 36, 51, 15 ], [ 36, 52, 4 ], [ 36, 53, 16 ], [ 36, 54, 48 ], [ 36, 55, 96 ], [ 36, 56, 74 ], [ 36, 57, 25 ], [ 36, 58, 77 ], [ 36, 59, 29 ], [ 36, 60, 86 ], [ 36, 61, 116 ], [ 36, 62, 56 ], [ 36, 63, 46 ], [ 36, 64, 64 ], [ 36, 65, 34 ], [ 36, 66, 93 ], [ 36, 67, 63 ], [ 36, 68, 107 ], [ 36, 69, 33 ], [ 36, 70, 119 ], [ 36, 71, 45 ], [ 36, 72, 48 ], [ 36, 73, 67 ], [ 36, 74, 56 ], [ 36, 75, 64 ], [ 36, 76, 55 ], [ 36, 77, 63 ], [ 36, 78, 8 ], [ 36, 79, 108 ], [ 36, 80, 86 ], [ 36, 81, 34 ], [ 36, 82, 85 ], [ 36, 83, 33 ], [ 36, 84, 74 ], [ 36, 85, 119 ], [ 36, 86, 0 ], [ 36, 87, 45 ], [ 36, 88, 15 ], [ 36, 89, 25 ], [ 36, 90, 90 ], [ 36, 91, 16 ], [ 36, 92, 103 ], [ 36, 93, 29 ], [ 36, 94, 116 ], [ 36, 95, 46 ], [ 36, 96, 96 ], [ 36, 97, 108 ], [ 36, 98, 107 ], [ 36, 99, 119 ], [ 36, 100, 103 ], [ 36, 101, 116 ], [ 36, 102, 23 ], [ 36, 103, 67 ], [ 36, 104, 93 ], [ 36, 105, 45 ], [ 36, 106, 90 ], [ 36, 107, 46 ], [ 36, 108, 77 ], [ 36, 109, 64 ], [ 36, 110, 4 ], [ 36, 111, 34 ], [ 36, 112, 16 ], [ 36, 113, 29 ], [ 36, 114, 85 ], [ 36, 115, 15 ], [ 36, 116, 55 ], [ 36, 117, 25 ], [ 36, 118, 63 ], [ 36, 119, 33 ], [ 37, 0, 0 ], [ 37, 1, 4 ], [ 37, 2, 107 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 5, 59 ], [ 37, 6, 86 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 9, 111 ], [ 37, 10, 48 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 13, 74 ], [ 37, 14, 20 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 17, 52 ], [ 37, 18, 94 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 21, 23 ], [ 37, 22, 112 ], [ 37, 23, 99 ], [ 37, 24, 74 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 27, 94 ], [ 37, 28, 86 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 31, 107 ], [ 37, 32, 23 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 35, 112 ], [ 37, 36, 59 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 39, 48 ], [ 37, 40, 111 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 43, 4 ], [ 37, 44, 52 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 47, 20 ], [ 37, 48, 8 ], [ 37, 49, 23 ], [ 37, 50, 4 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 53, 20 ], [ 37, 54, 48 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 57, 52 ], [ 37, 58, 74 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 61, 86 ], [ 37, 62, 112 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 65, 94 ], [ 37, 66, 111 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 69, 107 ], [ 37, 70, 59 ], [ 37, 71, 89 ], [ 37, 72, 111 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 75, 112 ], [ 37, 76, 107 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 79, 20 ], [ 37, 80, 94 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 83, 23 ], [ 37, 84, 52 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 87, 59 ], [ 37, 88, 4 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 91, 74 ], [ 37, 92, 48 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 95, 86 ], [ 37, 96, 68 ], [ 37, 97, 52 ], [ 37, 98, 59 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 101, 48 ], [ 37, 102, 112 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 105, 111 ], [ 37, 106, 86 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 109, 94 ], [ 37, 110, 20 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 113, 74 ], [ 37, 114, 23 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 117, 4 ], [ 37, 118, 107 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 1, 104 ], [ 38, 2, 56 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 5, 0 ], [ 38, 6, 12 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 9, 116 ], [ 38, 10, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 13, 119 ], [ 38, 14, 74 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 17, 60 ], [ 38, 18, 64 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 21, 15 ], [ 38, 22, 94 ], [ 38, 23, 64 ], [ 38, 24, 74 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 27, 94 ], [ 38, 28, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 31, 46 ], [ 38, 32, 56 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 35, 26 ], [ 38, 36, 30 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 39, 45 ], [ 38, 40, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 43, 25 ], [ 38, 44, 104 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 47, 34 ], [ 38, 48, 60 ], [ 38, 49, 64 ], [ 38, 50, 56 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 53, 60 ], [ 38, 54, 30 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 57, 34 ], [ 38, 58, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 61, 41 ], [ 38, 62, 12 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 65, 26 ], [ 38, 66, 46 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 69, 37 ], [ 38, 70, 116 ], [ 38, 71, 46 ], [ 38, 72, 12 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 75, 15 ], [ 38, 76, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 79, 25 ], [ 38, 80, 74 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 83, 26 ], [ 38, 84, 30 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 87, 37 ], [ 38, 88, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 91, 41 ], [ 38, 92, 119 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 95, 45 ], [ 38, 96, 116 ], [ 38, 97, 119 ], [ 38, 98, 104 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 101, 116 ], [ 38, 102, 46 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 105, 45 ], [ 38, 106, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 109, 41 ], [ 38, 110, 64 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 113, 34 ], [ 38, 114, 25 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 117, 37 ], [ 38, 118, 15 ], [ 38, 119, 25 ], [ 39, 0, 0 ], [ 39, 1, 104 ], [ 39, 2, 3 ], [ 39, 3, 55 ], [ 39, 4, 107 ], [ 39, 5, 59 ], [ 39, 6, 12 ], [ 39, 7, 116 ], [ 39, 8, 7 ], [ 39, 9, 73 ], [ 39, 10, 111 ], [ 39, 11, 93 ], [ 39, 12, 16 ], [ 39, 13, 60 ], [ 39, 14, 20 ], [ 39, 15, 74 ], [ 39, 16, 71 ], [ 39, 17, 89 ], [ 39, 18, 115 ], [ 39, 19, 64 ], [ 39, 20, 99 ], [ 39, 21, 94 ], [ 39, 22, 51 ], [ 39, 23, 85 ], [ 39, 24, 74 ], [ 39, 25, 94 ], [ 39, 26, 73 ], [ 39, 27, 85 ], [ 39, 28, 93 ], [ 39, 29, 89 ], [ 39, 30, 26 ], [ 39, 31, 46 ], [ 39, 32, 51 ], [ 39, 33, 3 ], [ 39, 34, 71 ], [ 39, 35, 107 ], [ 39, 36, 29 ], [ 39, 37, 30 ], [ 39, 38, 99 ], [ 39, 39, 0 ], [ 39, 40, 111 ], [ 39, 41, 59 ], [ 39, 42, 42 ], [ 39, 43, 34 ], [ 39, 44, 20 ], [ 39, 45, 104 ], [ 39, 46, 7 ], [ 39, 47, 55 ], [ 39, 48, 60 ], [ 39, 49, 64 ], [ 39, 50, 55 ], [ 39, 51, 51 ], [ 39, 52, 59 ], [ 39, 53, 71 ], [ 39, 54, 30 ], [ 39, 55, 34 ], [ 39, 56, 85 ], [ 39, 57, 7 ], [ 39, 58, 89 ], [ 39, 59, 111 ], [ 39, 60, 42 ], [ 39, 61, 26 ], [ 39, 62, 115 ], [ 39, 63, 12 ], [ 39, 64, 107 ], [ 39, 65, 93 ], [ 39, 66, 29 ], [ 39, 67, 46 ], [ 39, 68, 16 ], [ 39, 69, 116 ], [ 39, 70, 3 ], [ 39, 71, 73 ], [ 39, 72, 116 ], [ 39, 73, 115 ], [ 39, 74, 104 ], [ 39, 75, 99 ], [ 39, 76, 107 ], [ 39, 77, 111 ], [ 39, 78, 46 ], [ 39, 79, 42 ], [ 39, 80, 94 ], [ 39, 81, 20 ], [ 39, 82, 93 ], [ 39, 83, 71 ], [ 39, 84, 34 ], [ 39, 85, 29 ], [ 39, 86, 64 ], [ 39, 87, 16 ], [ 39, 88, 59 ], [ 39, 89, 89 ], [ 39, 90, 26 ], [ 39, 91, 30 ], [ 39, 92, 12 ], [ 39, 93, 60 ], [ 39, 94, 0 ], [ 39, 95, 74 ], [ 39, 96, 12 ], [ 39, 97, 16 ], [ 39, 98, 0 ], [ 39, 99, 20 ], [ 39, 100, 3 ], [ 39, 101, 7 ], [ 39, 102, 26 ], [ 39, 103, 29 ], [ 39, 104, 74 ], [ 39, 105, 99 ], [ 39, 106, 73 ], [ 39, 107, 51 ], [ 39, 108, 30 ], [ 39, 109, 42 ], [ 39, 110, 60 ], [ 39, 111, 115 ], [ 39, 112, 55 ], [ 39, 113, 85 ], [ 39, 114, 46 ], [ 39, 115, 34 ], [ 39, 116, 116 ], [ 39, 117, 64 ], [ 39, 118, 104 ], [ 39, 119, 94 ], [ 40, 0, 0 ], [ 40, 1, 55 ], [ 40, 2, 107 ], [ 40, 3, 55 ], [ 40, 4, 107 ], [ 40, 5, 0 ], [ 40, 6, 7 ], [ 40, 7, 48 ], [ 40, 8, 93 ], [ 40, 9, 48 ], [ 40, 10, 93 ], [ 40, 11, 7 ], [ 40, 12, 108 ], [ 40, 13, 71 ], [ 40, 14, 74 ], [ 40, 15, 71 ], [ 40, 16, 74 ], [ 40, 17, 108 ], [ 40, 18, 99 ], [ 40, 19, 23 ], [ 40, 20, 85 ], [ 40, 21, 23 ], [ 40, 22, 85 ], [ 40, 23, 99 ], [ 40, 24, 74 ], [ 40, 25, 85 ], [ 40, 26, 93 ], [ 40, 27, 85 ], [ 40, 28, 93 ], [ 40, 29, 74 ], [ 40, 30, 51 ], [ 40, 31, 8 ], [ 40, 32, 107 ], [ 40, 33, 8 ], [ 40, 34, 107 ], [ 40, 35, 51 ], [ 40, 36, 67 ], [ 40, 37, 111 ], [ 40, 38, 0 ], [ 40, 39, 111 ], [ 40, 40, 0 ], [ 40, 41, 67 ], [ 40, 42, 20 ], [ 40, 43, 96 ], [ 40, 44, 55 ], [ 40, 45, 96 ], [ 40, 46, 55 ], [ 40, 47, 20 ], [ 40, 48, 108 ], [ 40, 49, 99 ], [ 40, 50, 107 ], [ 40, 51, 99 ], [ 40, 52, 107 ], [ 40, 53, 108 ], [ 40, 54, 67 ], [ 40, 55, 20 ], [ 40, 56, 93 ], [ 40, 57, 20 ], [ 40, 58, 93 ], [ 40, 59, 67 ], [ 40, 60, 51 ], [ 40, 61, 81 ], [ 40, 62, 7 ], [ 40, 63, 81 ], [ 40, 64, 7 ], [ 40, 65, 51 ], [ 40, 66, 8 ], [ 40, 67, 78 ], [ 40, 68, 48 ], [ 40, 69, 78 ], [ 40, 70, 48 ], [ 40, 71, 8 ], [ 40, 72, 7 ], [ 40, 73, 23 ], [ 40, 74, 0 ], [ 40, 75, 23 ], [ 40, 76, 0 ], [ 40, 77, 7 ], [ 40, 78, 51 ], [ 40, 79, 96 ], [ 40, 80, 74 ], [ 40, 81, 96 ], [ 40, 82, 74 ], [ 40, 83, 51 ], [ 40, 84, 67 ], [ 40, 85, 78 ], [ 40, 86, 108 ], [ 40, 87, 78 ], [ 40, 88, 108 ], [ 40, 89, 67 ], [ 40, 90, 111 ], [ 40, 91, 81 ], [ 40, 92, 71 ], [ 40, 93, 81 ], [ 40, 94, 71 ], [ 40, 95, 111 ], [ 40, 96, 48 ], [ 40, 97, 71 ], [ 40, 98, 55 ], [ 40, 99, 71 ], [ 40, 100, 55 ], [ 40, 101, 48 ], [ 40, 102, 8 ], [ 40, 103, 111 ], [ 40, 104, 85 ], [ 40, 105, 111 ], [ 40, 106, 85 ], [ 40, 107, 8 ], [ 40, 108, 20 ], [ 40, 109, 81 ], [ 40, 110, 99 ], [ 40, 111, 81 ], [ 40, 112, 99 ], [ 40, 113, 20 ], [ 40, 114, 96 ], [ 40, 115, 78 ], [ 40, 116, 23 ], [ 40, 117, 78 ], [ 40, 118, 23 ], [ 40, 119, 96 ], [ 41, 0, 0 ], [ 41, 1, 55 ], [ 41, 2, 3 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 5, 103 ], [ 41, 6, 7 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 9, 86 ], [ 41, 10, 68 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 13, 100 ], [ 41, 14, 8 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 17, 74 ], [ 41, 18, 67 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 21, 94 ], [ 41, 22, 99 ], [ 41, 23, 85 ], [ 41, 24, 74 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 27, 94 ], [ 41, 28, 86 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 31, 8 ], [ 41, 32, 100 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 35, 3 ], [ 41, 36, 99 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 39, 103 ], [ 41, 40, 67 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 43, 68 ], [ 41, 44, 7 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 47, 55 ], [ 41, 48, 108 ], [ 41, 49, 99 ], [ 41, 50, 103 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 53, 100 ], [ 41, 54, 67 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 57, 68 ], [ 41, 58, 94 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 61, 3 ], [ 41, 62, 55 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 65, 7 ], [ 41, 66, 74 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 69, 86 ], [ 41, 70, 8 ], [ 41, 71, 48 ], [ 41, 72, 68 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 75, 67 ], [ 41, 76, 55 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 79, 7 ], [ 41, 80, 86 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 83, 8 ], [ 41, 84, 94 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 87, 74 ], [ 41, 88, 99 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 91, 103 ], [ 41, 92, 3 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 95, 100 ], [ 41, 96, 19 ], [ 41, 97, 8 ], [ 41, 98, 3 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 101, 7 ], [ 41, 102, 100 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 105, 99 ], [ 41, 106, 74 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 109, 55 ], [ 41, 110, 103 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 113, 67 ], [ 41, 114, 86 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 117, 94 ], [ 41, 118, 68 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 1, 3 ], [ 42, 2, 56 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 5, 82 ], [ 42, 6, 111 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 9, 48 ], [ 42, 10, 86 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 13, 119 ], [ 42, 14, 16 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 17, 89 ], [ 42, 18, 99 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 21, 15 ], [ 42, 22, 51 ], [ 42, 23, 64 ], [ 42, 24, 99 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 27, 111 ], [ 42, 28, 119 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 31, 82 ], [ 42, 32, 89 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 35, 16 ], [ 42, 36, 3 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 39, 51 ], [ 42, 40, 15 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 43, 56 ], [ 42, 44, 48 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 47, 86 ], [ 42, 48, 11 ], [ 42, 49, 16 ], [ 42, 50, 15 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 53, 3 ], [ 42, 54, 48 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 57, 99 ], [ 42, 58, 51 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 61, 86 ], [ 42, 62, 82 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 65, 56 ], [ 42, 66, 111 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 69, 89 ], [ 42, 70, 119 ], [ 42, 71, 81 ], [ 42, 72, 51 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 75, 56 ], [ 42, 76, 48 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 79, 89 ], [ 42, 80, 86 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 83, 111 ], [ 42, 84, 119 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 87, 15 ], [ 42, 88, 99 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 91, 16 ], [ 42, 92, 3 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 95, 82 ], [ 42, 96, 74 ], [ 42, 97, 86 ], [ 42, 98, 89 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 101, 82 ], [ 42, 102, 15 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 105, 119 ], [ 42, 106, 16 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 109, 51 ], [ 42, 110, 56 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 113, 3 ], [ 42, 114, 99 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 117, 48 ], [ 42, 118, 111 ], [ 42, 119, 59 ], [ 43, 0, 0 ], [ 43, 1, 3 ], [ 43, 2, 78 ], [ 43, 3, 82 ], [ 43, 4, 55 ], [ 43, 5, 59 ], [ 43, 6, 111 ], [ 43, 7, 116 ], [ 43, 8, 93 ], [ 43, 9, 73 ], [ 43, 10, 68 ], [ 43, 11, 48 ], [ 43, 12, 108 ], [ 43, 13, 100 ], [ 43, 14, 20 ], [ 43, 15, 16 ], [ 43, 16, 71 ], [ 43, 17, 60 ], [ 43, 18, 115 ], [ 43, 19, 99 ], [ 43, 20, 23 ], [ 43, 21, 11 ], [ 43, 22, 94 ], [ 43, 23, 85 ], [ 43, 24, 99 ], [ 43, 25, 100 ], [ 43, 26, 115 ], [ 43, 27, 116 ], [ 43, 28, 108 ], [ 43, 29, 111 ], [ 43, 30, 59 ], [ 43, 31, 82 ], [ 43, 32, 41 ], [ 43, 33, 16 ], [ 43, 34, 34 ], [ 43, 35, 11 ], [ 43, 36, 55 ], [ 43, 37, 3 ], [ 43, 38, 25 ], [ 43, 39, 73 ], [ 43, 40, 33 ], [ 43, 41, 85 ], [ 43, 42, 78 ], [ 43, 43, 0 ], [ 43, 44, 26 ], [ 43, 45, 48 ], [ 43, 46, 38 ], [ 43, 47, 60 ], [ 43, 48, 11 ], [ 43, 49, 16 ], [ 43, 50, 23 ], [ 43, 51, 3 ], [ 43, 52, 20 ], [ 43, 53, 0 ], [ 43, 54, 48 ], [ 43, 55, 73 ], [ 43, 56, 26 ], [ 43, 57, 100 ], [ 43, 58, 25 ], [ 43, 59, 99 ], [ 43, 60, 68 ], [ 43, 61, 116 ], [ 43, 62, 34 ], [ 43, 63, 82 ], [ 43, 64, 38 ], [ 43, 65, 94 ], [ 43, 66, 93 ], [ 43, 67, 111 ], [ 43, 68, 41 ], [ 43, 69, 59 ], [ 43, 70, 33 ], [ 43, 71, 71 ], [ 43, 72, 85 ], [ 43, 73, 73 ], [ 43, 74, 94 ], [ 43, 75, 82 ], [ 43, 76, 93 ], [ 43, 77, 78 ], [ 43, 78, 60 ], [ 43, 79, 16 ], [ 43, 80, 38 ], [ 43, 81, 116 ], [ 43, 82, 41 ], [ 43, 83, 115 ], [ 43, 84, 71 ], [ 43, 85, 100 ], [ 43, 86, 33 ], [ 43, 87, 3 ], [ 43, 88, 26 ], [ 43, 89, 23 ], [ 43, 90, 20 ], [ 43, 91, 108 ], [ 43, 92, 25 ], [ 43, 93, 55 ], [ 43, 94, 34 ], [ 43, 95, 68 ], [ 43, 96, 60 ], [ 43, 97, 48 ], [ 43, 98, 71 ], [ 43, 99, 59 ], [ 43, 100, 68 ], [ 43, 101, 55 ], [ 43, 102, 85 ], [ 43, 103, 11 ], [ 43, 104, 33 ], [ 43, 105, 111 ], [ 43, 106, 34 ], [ 43, 107, 108 ], [ 43, 108, 94 ], [ 43, 109, 99 ], [ 43, 110, 38 ], [ 43, 111, 0 ], [ 43, 112, 25 ], [ 43, 113, 20 ], [ 43, 114, 23 ], [ 43, 115, 115 ], [ 43, 116, 26 ], [ 43, 117, 78 ], [ 43, 118, 41 ], [ 43, 119, 93 ], [ 44, 0, 0 ], [ 44, 1, 81 ], [ 44, 2, 56 ], [ 44, 3, 82 ], [ 44, 4, 55 ], [ 44, 5, 4 ], [ 44, 6, 19 ], [ 44, 7, 93 ], [ 44, 8, 116 ], [ 44, 9, 86 ], [ 44, 10, 96 ], [ 44, 11, 7 ], [ 44, 12, 71 ], [ 44, 13, 90 ], [ 44, 14, 119 ], [ 44, 15, 74 ], [ 44, 16, 108 ], [ 44, 17, 52 ], [ 44, 18, 67 ], [ 44, 19, 23 ], [ 44, 20, 99 ], [ 44, 21, 15 ], [ 44, 22, 112 ], [ 44, 23, 64 ], [ 44, 24, 99 ], [ 44, 25, 119 ], [ 44, 26, 112 ], [ 44, 27, 116 ], [ 44, 28, 108 ], [ 44, 29, 96 ], [ 44, 30, 29 ], [ 44, 31, 41 ], [ 44, 32, 82 ], [ 44, 33, 64 ], [ 44, 34, 4 ], [ 44, 35, 52 ], [ 44, 36, 33 ], [ 44, 37, 37 ], [ 44, 38, 81 ], [ 44, 39, 15 ], [ 44, 40, 55 ], [ 44, 41, 7 ], [ 44, 42, 30 ], [ 44, 43, 26 ], [ 44, 44, 0 ], [ 44, 45, 74 ], [ 44, 46, 56 ], [ 44, 47, 86 ], [ 44, 48, 67 ], [ 44, 49, 71 ], [ 44, 50, 64 ], [ 44, 51, 56 ], [ 44, 52, 52 ], [ 44, 53, 55 ], [ 44, 54, 30 ], [ 44, 55, 33 ], [ 44, 56, 86 ], [ 44, 57, 112 ], [ 44, 58, 7 ], [ 44, 59, 108 ], [ 44, 60, 41 ], [ 44, 61, 26 ], [ 44, 62, 93 ], [ 44, 63, 23 ], [ 44, 64, 96 ], [ 44, 65, 4 ], [ 44, 66, 29 ], [ 44, 67, 37 ], [ 44, 68, 19 ], [ 44, 69, 90 ], [ 44, 70, 116 ], [ 44, 71, 82 ], [ 44, 72, 23 ], [ 44, 73, 19 ], [ 44, 74, 15 ], [ 44, 75, 0 ], [ 44, 76, 7 ], [ 44, 77, 4 ], [ 44, 78, 26 ], [ 44, 79, 29 ], [ 44, 80, 74 ], [ 44, 81, 99 ], [ 44, 82, 52 ], [ 44, 83, 96 ], [ 44, 84, 37 ], [ 44, 85, 30 ], [ 44, 86, 90 ], [ 44, 87, 67 ], [ 44, 88, 108 ], [ 44, 89, 55 ], [ 44, 90, 33 ], [ 44, 91, 41 ], [ 44, 92, 71 ], [ 44, 93, 93 ], [ 44, 94, 119 ], [ 44, 95, 81 ], [ 44, 96, 90 ], [ 44, 97, 93 ], [ 44, 98, 74 ], [ 44, 99, 81 ], [ 44, 100, 86 ], [ 44, 101, 82 ], [ 44, 102, 37 ], [ 44, 103, 41 ], [ 44, 104, 15 ], [ 44, 105, 119 ], [ 44, 106, 64 ], [ 44, 107, 116 ], [ 44, 108, 26 ], [ 44, 109, 33 ], [ 44, 110, 23 ], [ 44, 111, 71 ], [ 44, 112, 112 ], [ 44, 113, 56 ], [ 44, 114, 30 ], [ 44, 115, 29 ], [ 44, 116, 67 ], [ 44, 117, 19 ], [ 44, 118, 99 ], [ 44, 119, 0 ], [ 45, 0, 0 ], [ 45, 1, 81 ], [ 45, 2, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 5, 59 ], [ 45, 6, 19 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 9, 111 ], [ 45, 10, 93 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 13, 71 ], [ 45, 14, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 17, 119 ], [ 45, 18, 94 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 21, 99 ], [ 45, 22, 67 ], [ 45, 23, 99 ], [ 45, 24, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 27, 111 ], [ 45, 28, 119 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 31, 41 ], [ 45, 32, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 35, 59 ], [ 45, 36, 25 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 39, 81 ], [ 45, 40, 33 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 43, 30 ], [ 45, 44, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 47, 0 ], [ 45, 48, 67 ], [ 45, 49, 71 ], [ 45, 50, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 53, 59 ], [ 45, 54, 30 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 57, 111 ], [ 45, 58, 33 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 61, 41 ], [ 45, 62, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 65, 93 ], [ 45, 66, 46 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 69, 19 ], [ 45, 70, 29 ], [ 45, 71, 19 ], [ 45, 72, 94 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 75, 81 ], [ 45, 76, 93 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 79, 41 ], [ 45, 80, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 83, 119 ], [ 45, 84, 46 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 87, 71 ], [ 45, 88, 33 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 91, 25 ], [ 45, 92, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 95, 20 ], [ 45, 96, 20 ], [ 45, 97, 19 ], [ 45, 98, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 101, 0 ], [ 45, 102, 25 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 105, 99 ], [ 45, 106, 29 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 109, 30 ], [ 45, 110, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 113, 67 ], [ 45, 114, 46 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 117, 94 ], [ 45, 118, 38 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 1, 55 ], [ 46, 2, 78 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 5, 4 ], [ 46, 6, 7 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 9, 63 ], [ 46, 10, 111 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 13, 60 ], [ 46, 14, 119 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 17, 74 ], [ 46, 18, 77 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 21, 11 ], [ 46, 22, 99 ], [ 46, 23, 85 ], [ 46, 24, 99 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 27, 111 ], [ 46, 28, 119 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 31, 11 ], [ 46, 32, 4 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 35, 77 ], [ 46, 36, 63 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 39, 7 ], [ 46, 40, 55 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 43, 74 ], [ 46, 44, 78 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 47, 60 ], [ 46, 48, 85 ], [ 46, 49, 74 ], [ 46, 50, 77 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 53, 78 ], [ 46, 54, 60 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 57, 119 ], [ 46, 58, 63 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 61, 99 ], [ 46, 62, 111 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 65, 11 ], [ 46, 66, 4 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 69, 55 ], [ 46, 70, 7 ], [ 46, 71, 52 ], [ 46, 72, 11 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 75, 4 ], [ 46, 76, 7 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 79, 77 ], [ 46, 80, 74 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 83, 99 ], [ 46, 84, 55 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 87, 78 ], [ 46, 88, 60 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 91, 111 ], [ 46, 92, 119 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 95, 63 ], [ 46, 96, 52 ], [ 46, 97, 63 ], [ 46, 98, 60 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 101, 55 ], [ 46, 102, 7 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 105, 111 ], [ 46, 106, 11 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 109, 119 ], [ 46, 110, 99 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 113, 74 ], [ 46, 114, 78 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 117, 4 ], [ 46, 118, 77 ], [ 46, 119, 12 ], [ 47, 0, 0 ], [ 47, 1, 55 ], [ 47, 2, 0 ], [ 47, 3, 82 ], [ 47, 4, 55 ], [ 47, 5, 82 ], [ 47, 6, 7 ], [ 47, 7, 48 ], [ 47, 8, 7 ], [ 47, 9, 116 ], [ 47, 10, 48 ], [ 47, 11, 116 ], [ 47, 12, 16 ], [ 47, 13, 74 ], [ 47, 14, 16 ], [ 47, 15, 108 ], [ 47, 16, 74 ], [ 47, 17, 108 ], [ 47, 18, 64 ], [ 47, 19, 85 ], [ 47, 20, 64 ], [ 47, 21, 99 ], [ 47, 22, 85 ], [ 47, 23, 99 ], [ 47, 24, 99 ], [ 47, 25, 108 ], [ 47, 26, 99 ], [ 47, 27, 116 ], [ 47, 28, 108 ], [ 47, 29, 116 ], [ 47, 30, 52 ], [ 47, 31, 11 ], [ 47, 32, 52 ], [ 47, 33, 82 ], [ 47, 34, 11 ], [ 47, 35, 82 ], [ 47, 36, 73 ], [ 47, 37, 15 ], [ 47, 38, 73 ], [ 47, 39, 55 ], [ 47, 40, 15 ], [ 47, 41, 55 ], [ 47, 42, 86 ], [ 47, 43, 60 ], [ 47, 44, 86 ], [ 47, 45, 0 ], [ 47, 46, 60 ], [ 47, 47, 0 ], [ 47, 48, 85 ], [ 47, 49, 74 ], [ 47, 50, 85 ], [ 47, 51, 82 ], [ 47, 52, 74 ], [ 47, 53, 82 ], [ 47, 54, 60 ], [ 47, 55, 15 ], [ 47, 56, 60 ], [ 47, 57, 116 ], [ 47, 58, 15 ], [ 47, 59, 116 ], [ 47, 60, 103 ], [ 47, 61, 11 ], [ 47, 62, 103 ], [ 47, 63, 48 ], [ 47, 64, 11 ], [ 47, 65, 48 ], [ 47, 66, 104 ], [ 47, 67, 52 ], [ 47, 68, 104 ], [ 47, 69, 7 ], [ 47, 70, 52 ], [ 47, 71, 7 ], [ 47, 72, 64 ], [ 47, 73, 48 ], [ 47, 74, 64 ], [ 47, 75, 55 ], [ 47, 76, 48 ], [ 47, 77, 55 ], [ 47, 78, 86 ], [ 47, 79, 11 ], [ 47, 80, 86 ], [ 47, 81, 108 ], [ 47, 82, 11 ], [ 47, 83, 108 ], [ 47, 84, 104 ], [ 47, 85, 15 ], [ 47, 86, 104 ], [ 47, 87, 74 ], [ 47, 88, 15 ], [ 47, 89, 74 ], [ 47, 90, 103 ], [ 47, 91, 73 ], [ 47, 92, 103 ], [ 47, 93, 16 ], [ 47, 94, 73 ], [ 47, 95, 16 ], [ 47, 96, 16 ], [ 47, 97, 7 ], [ 47, 98, 16 ], [ 47, 99, 0 ], [ 47, 100, 7 ], [ 47, 101, 0 ], [ 47, 102, 73 ], [ 47, 103, 52 ], [ 47, 104, 73 ], [ 47, 105, 99 ], [ 47, 106, 52 ], [ 47, 107, 99 ], [ 47, 108, 103 ], [ 47, 109, 60 ], [ 47, 110, 103 ], [ 47, 111, 85 ], [ 47, 112, 60 ], [ 47, 113, 85 ], [ 47, 114, 104 ], [ 47, 115, 86 ], [ 47, 116, 104 ], [ 47, 117, 64 ], [ 47, 118, 86 ], [ 47, 119, 64 ], [ 48, 0, 0 ], [ 48, 1, 0 ], [ 48, 2, 12 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 5, 19 ], [ 48, 6, 30 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 9, 26 ], [ 48, 10, 29 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 13, 86 ], [ 48, 14, 74 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 17, 73 ], [ 48, 18, 111 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 21, 99 ], [ 48, 22, 96 ], [ 48, 23, 96 ], [ 48, 24, 30 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 27, 86 ], [ 48, 28, 111 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 31, 0 ], [ 48, 32, 56 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 35, 59 ], [ 48, 36, 12 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 39, 60 ], [ 48, 40, 63 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 43, 19 ], [ 48, 44, 67 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 47, 68 ], [ 48, 48, 0 ], [ 48, 49, 0 ], [ 48, 50, 74 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 53, 99 ], [ 48, 54, 30 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 57, 60 ], [ 48, 58, 67 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 61, 26 ], [ 48, 62, 56 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 65, 51 ], [ 48, 66, 29 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 69, 59 ], [ 48, 70, 52 ], [ 48, 71, 52 ], [ 48, 72, 12 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 75, 26 ], [ 48, 76, 96 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 79, 86 ], [ 48, 80, 56 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 83, 68 ], [ 48, 84, 74 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 87, 60 ], [ 48, 88, 52 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 91, 73 ], [ 48, 92, 63 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 95, 51 ], [ 48, 96, 19 ], [ 48, 97, 19 ], [ 48, 98, 29 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 101, 73 ], [ 48, 102, 111 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 105, 59 ], [ 48, 106, 63 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 109, 99 ], [ 48, 110, 67 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 113, 51 ], [ 48, 114, 96 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 117, 68 ], [ 48, 118, 52 ], [ 48, 119, 52 ], [ 49, 0, 0 ], [ 49, 1, 0 ], [ 49, 2, 23 ], [ 49, 3, 23 ], [ 49, 4, 16 ], [ 49, 5, 16 ], [ 49, 6, 30 ], [ 49, 7, 30 ], [ 49, 8, 41 ], [ 49, 9, 41 ], [ 49, 10, 46 ], [ 49, 11, 46 ], [ 49, 12, 112 ], [ 49, 13, 112 ], [ 49, 14, 119 ], [ 49, 15, 119 ], [ 49, 16, 103 ], [ 49, 17, 103 ], [ 49, 18, 89 ], [ 49, 19, 89 ], [ 49, 20, 94 ], [ 49, 21, 94 ], [ 49, 22, 78 ], [ 49, 23, 78 ], [ 49, 24, 30 ], [ 49, 25, 30 ], [ 49, 26, 112 ], [ 49, 27, 112 ], [ 49, 28, 89 ], [ 49, 29, 89 ], [ 49, 30, 0 ], [ 49, 31, 0 ], [ 49, 32, 82 ], [ 49, 33, 82 ], [ 49, 34, 107 ], [ 49, 35, 107 ], [ 49, 36, 23 ], [ 49, 37, 23 ], [ 49, 38, 90 ], [ 49, 39, 90 ], [ 49, 40, 45 ], [ 49, 41, 45 ], [ 49, 42, 16 ], [ 49, 43, 16 ], [ 49, 44, 115 ], [ 49, 45, 115 ], [ 49, 46, 38 ], [ 49, 47, 38 ], [ 49, 48, 0 ], [ 49, 49, 0 ], [ 49, 50, 119 ], [ 49, 51, 119 ], [ 49, 52, 94 ], [ 49, 53, 94 ], [ 49, 54, 30 ], [ 49, 55, 30 ], [ 49, 56, 90 ], [ 49, 57, 90 ], [ 49, 58, 115 ], [ 49, 59, 115 ], [ 49, 60, 41 ], [ 49, 61, 41 ], [ 49, 62, 82 ], [ 49, 63, 82 ], [ 49, 64, 11 ], [ 49, 65, 11 ], [ 49, 66, 46 ], [ 49, 67, 46 ], [ 49, 68, 107 ], [ 49, 69, 107 ], [ 49, 70, 8 ], [ 49, 71, 8 ], [ 49, 72, 23 ], [ 49, 73, 23 ], [ 49, 74, 41 ], [ 49, 75, 41 ], [ 49, 76, 78 ], [ 49, 77, 78 ], [ 49, 78, 112 ], [ 49, 79, 112 ], [ 49, 80, 82 ], [ 49, 81, 82 ], [ 49, 82, 38 ], [ 49, 83, 38 ], [ 49, 84, 119 ], [ 49, 85, 119 ], [ 49, 86, 90 ], [ 49, 87, 90 ], [ 49, 88, 8 ], [ 49, 89, 8 ], [ 49, 90, 103 ], [ 49, 91, 103 ], [ 49, 92, 45 ], [ 49, 93, 45 ], [ 49, 94, 11 ], [ 49, 95, 11 ], [ 49, 96, 16 ], [ 49, 97, 16 ], [ 49, 98, 46 ], [ 49, 99, 46 ], [ 49, 100, 103 ], [ 49, 101, 103 ], [ 49, 102, 89 ], [ 49, 103, 89 ], [ 49, 104, 107 ], [ 49, 105, 107 ], [ 49, 106, 45 ], [ 49, 107, 45 ], [ 49, 108, 94 ], [ 49, 109, 94 ], [ 49, 110, 115 ], [ 49, 111, 115 ], [ 49, 112, 11 ], [ 49, 113, 11 ], [ 49, 114, 78 ], [ 49, 115, 78 ], [ 49, 116, 38 ], [ 49, 117, 38 ], [ 49, 118, 8 ], [ 49, 119, 8 ], [ 50, 0, 0 ], [ 50, 1, 20 ], [ 50, 2, 12 ], [ 50, 3, 23 ], [ 50, 4, 16 ], [ 50, 5, 3 ], [ 50, 6, 86 ], [ 50, 7, 89 ], [ 50, 8, 78 ], [ 50, 9, 77 ], [ 50, 10, 90 ], [ 50, 11, 73 ], [ 50, 12, 30 ], [ 50, 13, 33 ], [ 50, 14, 38 ], [ 50, 15, 25 ], [ 50, 16, 46 ], [ 50, 17, 29 ], [ 50, 18, 108 ], [ 50, 19, 112 ], [ 50, 20, 119 ], [ 50, 21, 99 ], [ 50, 22, 107 ], [ 50, 23, 96 ], [ 50, 24, 30 ], [ 50, 25, 108 ], [ 50, 26, 86 ], [ 50, 27, 112 ], [ 50, 28, 89 ], [ 50, 29, 33 ], [ 50, 30, 12 ], [ 50, 31, 16 ], [ 50, 32, 38 ], [ 50, 33, 64 ], [ 50, 34, 119 ], [ 50, 35, 63 ], [ 50, 36, 0 ], [ 50, 37, 3 ], [ 50, 38, 78 ], [ 50, 39, 55 ], [ 50, 40, 107 ], [ 50, 41, 59 ], [ 50, 42, 20 ], [ 50, 43, 23 ], [ 50, 44, 90 ], [ 50, 45, 67 ], [ 50, 46, 46 ], [ 50, 47, 68 ], [ 50, 48, 38 ], [ 50, 49, 119 ], [ 50, 50, 0 ], [ 50, 51, 99 ], [ 50, 52, 20 ], [ 50, 53, 25 ], [ 50, 54, 78 ], [ 50, 55, 90 ], [ 50, 56, 30 ], [ 50, 57, 67 ], [ 50, 58, 108 ], [ 50, 59, 55 ], [ 50, 60, 86 ], [ 50, 61, 73 ], [ 50, 62, 12 ], [ 50, 63, 63 ], [ 50, 64, 96 ], [ 50, 65, 68 ], [ 50, 66, 89 ], [ 50, 67, 77 ], [ 50, 68, 16 ], [ 50, 69, 64 ], [ 50, 70, 29 ], [ 50, 71, 59 ], [ 50, 72, 78 ], [ 50, 73, 107 ], [ 50, 74, 12 ], [ 50, 75, 96 ], [ 50, 76, 23 ], [ 50, 77, 77 ], [ 50, 78, 38 ], [ 50, 79, 46 ], [ 50, 80, 86 ], [ 50, 81, 68 ], [ 50, 82, 112 ], [ 50, 83, 64 ], [ 50, 84, 30 ], [ 50, 85, 29 ], [ 50, 86, 0 ], [ 50, 87, 59 ], [ 50, 88, 99 ], [ 50, 89, 67 ], [ 50, 90, 33 ], [ 50, 91, 25 ], [ 50, 92, 3 ], [ 50, 93, 55 ], [ 50, 94, 73 ], [ 50, 95, 63 ], [ 50, 96, 90 ], [ 50, 97, 46 ], [ 50, 98, 16 ], [ 50, 99, 29 ], [ 50, 100, 3 ], [ 50, 101, 73 ], [ 50, 102, 119 ], [ 50, 103, 107 ], [ 50, 104, 89 ], [ 50, 105, 59 ], [ 50, 106, 33 ], [ 50, 107, 63 ], [ 50, 108, 108 ], [ 50, 109, 96 ], [ 50, 110, 20 ], [ 50, 111, 68 ], [ 50, 112, 25 ], [ 50, 113, 55 ], [ 50, 114, 112 ], [ 50, 115, 99 ], [ 50, 116, 23 ], [ 50, 117, 67 ], [ 50, 118, 77 ], [ 50, 119, 64 ], [ 51, 0, 0 ], [ 51, 1, 20 ], [ 51, 2, 4 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 5, 16 ], [ 51, 6, 86 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 9, 78 ], [ 51, 10, 82 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 13, 111 ], [ 51, 14, 119 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 17, 116 ], [ 51, 18, 30 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 21, 45 ], [ 51, 22, 42 ], [ 51, 23, 41 ], [ 51, 24, 30 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 27, 86 ], [ 51, 28, 111 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 31, 16 ], [ 51, 32, 116 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 35, 119 ], [ 51, 36, 20 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 39, 42 ], [ 51, 40, 45 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 43, 4 ], [ 51, 44, 78 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 47, 82 ], [ 51, 48, 38 ], [ 51, 49, 119 ], [ 51, 50, 45 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 53, 20 ], [ 51, 54, 78 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 57, 30 ], [ 51, 58, 42 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 61, 82 ], [ 51, 62, 16 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 65, 4 ], [ 51, 66, 86 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 69, 116 ], [ 51, 70, 111 ], [ 51, 71, 19 ], [ 51, 72, 42 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 75, 4 ], [ 51, 76, 78 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 79, 116 ], [ 51, 80, 82 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 83, 86 ], [ 51, 84, 111 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 87, 45 ], [ 51, 88, 30 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 91, 119 ], [ 51, 92, 20 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 95, 16 ], [ 51, 96, 103 ], [ 51, 97, 82 ], [ 51, 98, 116 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 101, 16 ], [ 51, 102, 45 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 105, 111 ], [ 51, 106, 119 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 109, 42 ], [ 51, 110, 4 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 113, 20 ], [ 51, 114, 30 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 117, 78 ], [ 51, 118, 86 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 1, 15 ], [ 52, 2, 23 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 5, 3 ], [ 52, 6, 111 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 9, 107 ], [ 52, 10, 103 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 13, 30 ], [ 52, 14, 38 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 17, 37 ], [ 52, 18, 86 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 21, 94 ], [ 52, 22, 93 ], [ 52, 23, 78 ], [ 52, 24, 30 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 27, 86 ], [ 52, 28, 111 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 31, 23 ], [ 52, 32, 94 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 35, 93 ], [ 52, 36, 3 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 39, 103 ], [ 52, 40, 107 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 43, 15 ], [ 52, 44, 37 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 47, 38 ], [ 52, 48, 45 ], [ 52, 49, 94 ], [ 52, 50, 15 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 53, 38 ], [ 52, 54, 103 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 57, 37 ], [ 52, 58, 30 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 61, 111 ], [ 52, 62, 93 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 65, 86 ], [ 52, 66, 107 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 69, 23 ], [ 52, 70, 3 ], [ 52, 71, 33 ], [ 52, 72, 107 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 75, 93 ], [ 52, 76, 23 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 79, 38 ], [ 52, 80, 86 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 83, 94 ], [ 52, 84, 37 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 87, 3 ], [ 52, 88, 15 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 91, 30 ], [ 52, 92, 103 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 95, 111 ], [ 52, 96, 116 ], [ 52, 97, 37 ], [ 52, 98, 3 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 101, 103 ], [ 52, 102, 93 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 105, 107 ], [ 52, 106, 111 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 109, 86 ], [ 52, 110, 38 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 113, 30 ], [ 52, 114, 94 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 117, 15 ], [ 52, 118, 23 ], [ 52, 119, 112 ], [ 53, 0, 0 ], [ 53, 1, 15 ], [ 53, 2, 4 ], [ 53, 3, 23 ], [ 53, 4, 16 ], [ 53, 5, 19 ], [ 53, 6, 111 ], [ 53, 7, 112 ], [ 53, 8, 96 ], [ 53, 9, 115 ], [ 53, 10, 100 ], [ 53, 11, 103 ], [ 53, 12, 89 ], [ 53, 13, 85 ], [ 53, 14, 74 ], [ 53, 15, 94 ], [ 53, 16, 73 ], [ 53, 17, 82 ], [ 53, 18, 34 ], [ 53, 19, 30 ], [ 53, 20, 25 ], [ 53, 21, 45 ], [ 53, 22, 26 ], [ 53, 23, 41 ], [ 53, 24, 30 ], [ 53, 25, 85 ], [ 53, 26, 34 ], [ 53, 27, 112 ], [ 53, 28, 89 ], [ 53, 29, 111 ], [ 53, 30, 19 ], [ 53, 31, 23 ], [ 53, 32, 68 ], [ 53, 33, 94 ], [ 53, 34, 71 ], [ 53, 35, 45 ], [ 53, 36, 16 ], [ 53, 37, 15 ], [ 53, 38, 60 ], [ 53, 39, 115 ], [ 53, 40, 63 ], [ 53, 41, 41 ], [ 53, 42, 4 ], [ 53, 43, 0 ], [ 53, 44, 55 ], [ 53, 45, 103 ], [ 53, 46, 56 ], [ 53, 47, 82 ], [ 53, 48, 45 ], [ 53, 49, 94 ], [ 53, 50, 25 ], [ 53, 51, 15 ], [ 53, 52, 74 ], [ 53, 53, 0 ], [ 53, 54, 103 ], [ 53, 55, 115 ], [ 53, 56, 55 ], [ 53, 57, 85 ], [ 53, 58, 60 ], [ 53, 59, 30 ], [ 53, 60, 100 ], [ 53, 61, 112 ], [ 53, 62, 71 ], [ 53, 63, 23 ], [ 53, 64, 56 ], [ 53, 65, 26 ], [ 53, 66, 96 ], [ 53, 67, 111 ], [ 53, 68, 68 ], [ 53, 69, 19 ], [ 53, 70, 63 ], [ 53, 71, 73 ], [ 53, 72, 41 ], [ 53, 73, 115 ], [ 53, 74, 26 ], [ 53, 75, 23 ], [ 53, 76, 96 ], [ 53, 77, 4 ], [ 53, 78, 82 ], [ 53, 79, 94 ], [ 53, 80, 56 ], [ 53, 81, 112 ], [ 53, 82, 68 ], [ 53, 83, 34 ], [ 53, 84, 73 ], [ 53, 85, 85 ], [ 53, 86, 63 ], [ 53, 87, 15 ], [ 53, 88, 55 ], [ 53, 89, 25 ], [ 53, 90, 74 ], [ 53, 91, 89 ], [ 53, 92, 60 ], [ 53, 93, 16 ], [ 53, 94, 71 ], [ 53, 95, 100 ], [ 53, 96, 82 ], [ 53, 97, 103 ], [ 53, 98, 73 ], [ 53, 99, 19 ], [ 53, 100, 100 ], [ 53, 101, 16 ], [ 53, 102, 41 ], [ 53, 103, 45 ], [ 53, 104, 63 ], [ 53, 105, 111 ], [ 53, 106, 71 ], [ 53, 107, 89 ], [ 53, 108, 26 ], [ 53, 109, 30 ], [ 53, 110, 56 ], [ 53, 111, 0 ], [ 53, 112, 60 ], [ 53, 113, 74 ], [ 53, 114, 25 ], [ 53, 115, 34 ], [ 53, 116, 55 ], [ 53, 117, 4 ], [ 53, 118, 68 ], [ 53, 119, 96 ], [ 54, 0, 0 ], [ 54, 1, 0 ], [ 54, 2, 78 ], [ 54, 3, 78 ], [ 54, 4, 103 ], [ 54, 5, 103 ], [ 54, 6, 30 ], [ 54, 7, 30 ], [ 54, 8, 78 ], [ 54, 9, 78 ], [ 54, 10, 103 ], [ 54, 11, 103 ], [ 54, 12, 30 ], [ 54, 13, 30 ], [ 54, 14, 0 ], [ 54, 15, 0 ], [ 54, 16, 103 ], [ 54, 17, 103 ], [ 54, 18, 30 ], [ 54, 19, 30 ], [ 54, 20, 0 ], [ 54, 21, 0 ], [ 54, 22, 78 ], [ 54, 23, 78 ], [ 54, 24, 48 ], [ 54, 25, 48 ], [ 54, 26, 60 ], [ 54, 27, 60 ], [ 54, 28, 67 ], [ 54, 29, 67 ], [ 54, 30, 30 ], [ 54, 31, 30 ], [ 54, 32, 60 ], [ 54, 33, 60 ], [ 54, 34, 67 ], [ 54, 35, 67 ], [ 54, 36, 30 ], [ 54, 37, 30 ], [ 54, 38, 48 ], [ 54, 39, 48 ], [ 54, 40, 67 ], [ 54, 41, 67 ], [ 54, 42, 30 ], [ 54, 43, 30 ], [ 54, 44, 48 ], [ 54, 45, 48 ], [ 54, 46, 60 ], [ 54, 47, 60 ], [ 54, 48, 48 ], [ 54, 49, 48 ], [ 54, 50, 56 ], [ 54, 51, 56 ], [ 54, 52, 59 ], [ 54, 53, 59 ], [ 54, 54, 0 ], [ 54, 55, 0 ], [ 54, 56, 56 ], [ 54, 57, 56 ], [ 54, 58, 59 ], [ 54, 59, 59 ], [ 54, 60, 0 ], [ 54, 61, 0 ], [ 54, 62, 48 ], [ 54, 63, 48 ], [ 54, 64, 59 ], [ 54, 65, 59 ], [ 54, 66, 0 ], [ 54, 67, 0 ], [ 54, 68, 48 ], [ 54, 69, 48 ], [ 54, 70, 56 ], [ 54, 71, 56 ], [ 54, 72, 60 ], [ 54, 73, 60 ], [ 54, 74, 56 ], [ 54, 75, 56 ], [ 54, 76, 55 ], [ 54, 77, 55 ], [ 54, 78, 78 ], [ 54, 79, 78 ], [ 54, 80, 56 ], [ 54, 81, 56 ], [ 54, 82, 55 ], [ 54, 83, 55 ], [ 54, 84, 78 ], [ 54, 85, 78 ], [ 54, 86, 60 ], [ 54, 87, 60 ], [ 54, 88, 55 ], [ 54, 89, 55 ], [ 54, 90, 78 ], [ 54, 91, 78 ], [ 54, 92, 60 ], [ 54, 93, 60 ], [ 54, 94, 56 ], [ 54, 95, 56 ], [ 54, 96, 67 ], [ 54, 97, 67 ], [ 54, 98, 59 ], [ 54, 99, 59 ], [ 54, 100, 55 ], [ 54, 101, 55 ], [ 54, 102, 103 ], [ 54, 103, 103 ], [ 54, 104, 59 ], [ 54, 105, 59 ], [ 54, 106, 55 ], [ 54, 107, 55 ], [ 54, 108, 103 ], [ 54, 109, 103 ], [ 54, 110, 67 ], [ 54, 111, 67 ], [ 54, 112, 55 ], [ 54, 113, 55 ], [ 54, 114, 103 ], [ 54, 115, 103 ], [ 54, 116, 67 ], [ 54, 117, 67 ], [ 54, 118, 59 ], [ 54, 119, 59 ], [ 55, 0, 0 ], [ 55, 1, 0 ], [ 55, 2, 107 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 5, 82 ], [ 55, 6, 30 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 9, 115 ], [ 55, 10, 90 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 13, 33 ], [ 55, 14, 15 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 17, 73 ], [ 55, 18, 34 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 21, 20 ], [ 55, 22, 96 ], [ 55, 23, 96 ], [ 55, 24, 48 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 27, 71 ], [ 55, 28, 64 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 31, 30 ], [ 55, 32, 90 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 35, 115 ], [ 55, 36, 33 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 39, 73 ], [ 55, 40, 15 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 43, 34 ], [ 55, 44, 96 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 47, 20 ], [ 55, 48, 48 ], [ 55, 49, 48 ], [ 55, 50, 64 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 53, 71 ], [ 55, 54, 0 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 57, 82 ], [ 55, 58, 107 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 61, 15 ], [ 55, 62, 73 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 65, 33 ], [ 55, 66, 20 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 69, 96 ], [ 55, 70, 34 ], [ 55, 71, 34 ], [ 55, 72, 71 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 75, 64 ], [ 55, 76, 48 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 79, 107 ], [ 55, 80, 82 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 83, 0 ], [ 55, 84, 115 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 87, 90 ], [ 55, 88, 30 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 91, 96 ], [ 55, 92, 20 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 95, 34 ], [ 55, 96, 64 ], [ 55, 97, 64 ], [ 55, 98, 71 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 101, 48 ], [ 55, 102, 82 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 105, 107 ], [ 55, 106, 0 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 109, 90 ], [ 55, 110, 115 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 113, 30 ], [ 55, 114, 73 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 117, 15 ], [ 55, 118, 33 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 1, 104 ], [ 56, 2, 78 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 5, 3 ], [ 56, 6, 8 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 9, 107 ], [ 56, 10, 46 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 13, 112 ], [ 56, 14, 38 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 17, 82 ], [ 56, 18, 86 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 21, 0 ], [ 56, 22, 26 ], [ 56, 23, 78 ], [ 56, 24, 48 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 27, 71 ], [ 56, 28, 64 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 31, 46 ], [ 56, 32, 8 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 35, 51 ], [ 56, 36, 38 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 39, 68 ], [ 56, 40, 112 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 43, 26 ], [ 56, 44, 86 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 47, 60 ], [ 56, 48, 60 ], [ 56, 49, 64 ], [ 56, 50, 48 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 53, 55 ], [ 56, 54, 78 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 57, 59 ], [ 56, 58, 104 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 61, 82 ], [ 56, 62, 38 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 65, 68 ], [ 56, 66, 86 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 69, 60 ], [ 56, 70, 0 ], [ 56, 71, 48 ], [ 56, 72, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 75, 55 ], [ 56, 76, 71 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 79, 3 ], [ 56, 80, 78 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 83, 59 ], [ 56, 84, 8 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 87, 51 ], [ 56, 88, 107 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 91, 0 ], [ 56, 92, 26 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 95, 60 ], [ 56, 96, 68 ], [ 56, 97, 71 ], [ 56, 98, 64 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 101, 55 ], [ 56, 102, 104 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 105, 59 ], [ 56, 106, 3 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 109, 107 ], [ 56, 110, 46 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 113, 51 ], [ 56, 114, 112 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 117, 68 ], [ 56, 118, 82 ], [ 56, 119, 64 ], [ 57, 0, 0 ], [ 57, 1, 104 ], [ 57, 2, 4 ], [ 57, 3, 78 ], [ 57, 4, 103 ], [ 57, 5, 82 ], [ 57, 6, 8 ], [ 57, 7, 112 ], [ 57, 8, 23 ], [ 57, 9, 26 ], [ 57, 10, 100 ], [ 57, 11, 46 ], [ 57, 12, 7 ], [ 57, 13, 85 ], [ 57, 14, 15 ], [ 57, 15, 25 ], [ 57, 16, 73 ], [ 57, 17, 37 ], [ 57, 18, 111 ], [ 57, 19, 89 ], [ 57, 20, 119 ], [ 57, 21, 45 ], [ 57, 22, 93 ], [ 57, 23, 41 ], [ 57, 24, 48 ], [ 57, 25, 68 ], [ 57, 26, 52 ], [ 57, 27, 60 ], [ 57, 28, 67 ], [ 57, 29, 64 ], [ 57, 30, 26 ], [ 57, 31, 46 ], [ 57, 32, 100 ], [ 57, 33, 8 ], [ 57, 34, 23 ], [ 57, 35, 112 ], [ 57, 36, 25 ], [ 57, 37, 37 ], [ 57, 38, 73 ], [ 57, 39, 7 ], [ 57, 40, 15 ], [ 57, 41, 85 ], [ 57, 42, 45 ], [ 57, 43, 41 ], [ 57, 44, 93 ], [ 57, 45, 111 ], [ 57, 46, 119 ], [ 57, 47, 89 ], [ 57, 48, 60 ], [ 57, 49, 64 ], [ 57, 50, 67 ], [ 57, 51, 48 ], [ 57, 52, 52 ], [ 57, 53, 68 ], [ 57, 54, 78 ], [ 57, 55, 82 ], [ 57, 56, 103 ], [ 57, 57, 0 ], [ 57, 58, 4 ], [ 57, 59, 104 ], [ 57, 60, 85 ], [ 57, 61, 73 ], [ 57, 62, 37 ], [ 57, 63, 15 ], [ 57, 64, 7 ], [ 57, 65, 25 ], [ 57, 66, 89 ], [ 57, 67, 93 ], [ 57, 68, 41 ], [ 57, 69, 119 ], [ 57, 70, 111 ], [ 57, 71, 45 ], [ 57, 72, 68 ], [ 57, 73, 67 ], [ 57, 74, 64 ], [ 57, 75, 52 ], [ 57, 76, 48 ], [ 57, 77, 60 ], [ 57, 78, 104 ], [ 57, 79, 103 ], [ 57, 80, 82 ], [ 57, 81, 4 ], [ 57, 82, 0 ], [ 57, 83, 78 ], [ 57, 84, 112 ], [ 57, 85, 100 ], [ 57, 86, 46 ], [ 57, 87, 23 ], [ 57, 88, 8 ], [ 57, 89, 26 ], [ 57, 90, 111 ], [ 57, 91, 119 ], [ 57, 92, 45 ], [ 57, 93, 93 ], [ 57, 94, 89 ], [ 57, 95, 41 ], [ 57, 96, 48 ], [ 57, 97, 52 ], [ 57, 98, 60 ], [ 57, 99, 67 ], [ 57, 100, 68 ], [ 57, 101, 64 ], [ 57, 102, 0 ], [ 57, 103, 4 ], [ 57, 104, 78 ], [ 57, 105, 103 ], [ 57, 106, 104 ], [ 57, 107, 82 ], [ 57, 108, 8 ], [ 57, 109, 23 ], [ 57, 110, 26 ], [ 57, 111, 100 ], [ 57, 112, 112 ], [ 57, 113, 46 ], [ 57, 114, 7 ], [ 57, 115, 15 ], [ 57, 116, 25 ], [ 57, 117, 73 ], [ 57, 118, 85 ], [ 57, 119, 37 ], [ 58, 0, 0 ], [ 58, 1, 81 ], [ 58, 2, 107 ], [ 58, 3, 78 ], [ 58, 4, 103 ], [ 58, 5, 3 ], [ 58, 6, 11 ], [ 58, 7, 89 ], [ 58, 8, 41 ], [ 58, 9, 77 ], [ 58, 10, 29 ], [ 58, 11, 16 ], [ 58, 12, 112 ], [ 58, 13, 86 ], [ 58, 14, 38 ], [ 58, 15, 94 ], [ 58, 16, 46 ], [ 58, 17, 116 ], [ 58, 18, 108 ], [ 58, 19, 7 ], [ 58, 20, 25 ], [ 58, 21, 20 ], [ 58, 22, 42 ], [ 58, 23, 96 ], [ 58, 24, 48 ], [ 58, 25, 63 ], [ 58, 26, 71 ], [ 58, 27, 60 ], [ 58, 28, 67 ], [ 58, 29, 51 ], [ 58, 30, 29 ], [ 58, 31, 41 ], [ 58, 32, 89 ], [ 58, 33, 16 ], [ 58, 34, 11 ], [ 58, 35, 77 ], [ 58, 36, 46 ], [ 58, 37, 38 ], [ 58, 38, 86 ], [ 58, 39, 116 ], [ 58, 40, 112 ], [ 58, 41, 94 ], [ 58, 42, 42 ], [ 58, 43, 25 ], [ 58, 44, 7 ], [ 58, 45, 96 ], [ 58, 46, 108 ], [ 58, 47, 20 ], [ 58, 48, 67 ], [ 58, 49, 71 ], [ 58, 50, 63 ], [ 58, 51, 51 ], [ 58, 52, 48 ], [ 58, 53, 60 ], [ 58, 54, 103 ], [ 58, 55, 107 ], [ 58, 56, 81 ], [ 58, 57, 3 ], [ 58, 58, 0 ], [ 58, 59, 78 ], [ 58, 60, 116 ], [ 58, 61, 112 ], [ 58, 62, 94 ], [ 58, 63, 46 ], [ 58, 64, 38 ], [ 58, 65, 86 ], [ 58, 66, 96 ], [ 58, 67, 108 ], [ 58, 68, 20 ], [ 58, 69, 42 ], [ 58, 70, 25 ], [ 58, 71, 7 ], [ 58, 72, 51 ], [ 58, 73, 48 ], [ 58, 74, 60 ], [ 58, 75, 67 ], [ 58, 76, 71 ], [ 58, 77, 63 ], [ 58, 78, 3 ], [ 58, 79, 0 ], [ 58, 80, 78 ], [ 58, 81, 103 ], [ 58, 82, 107 ], [ 58, 83, 81 ], [ 58, 84, 16 ], [ 58, 85, 11 ], [ 58, 86, 77 ], [ 58, 87, 29 ], [ 58, 88, 41 ], [ 58, 89, 89 ], [ 58, 90, 20 ], [ 58, 91, 7 ], [ 58, 92, 96 ], [ 58, 93, 25 ], [ 58, 94, 42 ], [ 58, 95, 108 ], [ 58, 96, 60 ], [ 58, 97, 63 ], [ 58, 98, 51 ], [ 58, 99, 71 ], [ 58, 100, 67 ], [ 58, 101, 48 ], [ 58, 102, 78 ], [ 58, 103, 81 ], [ 58, 104, 3 ], [ 58, 105, 107 ], [ 58, 106, 103 ], [ 58, 107, 0 ], [ 58, 108, 77 ], [ 58, 109, 89 ], [ 58, 110, 16 ], [ 58, 111, 41 ], [ 58, 112, 29 ], [ 58, 113, 11 ], [ 58, 114, 94 ], [ 58, 115, 86 ], [ 58, 116, 116 ], [ 58, 117, 38 ], [ 58, 118, 46 ], [ 58, 119, 112 ], [ 59, 0, 0 ], [ 59, 1, 81 ], [ 59, 2, 4 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 5, 103 ], [ 59, 6, 11 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 9, 41 ], [ 59, 10, 82 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 13, 111 ], [ 59, 14, 0 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 17, 29 ], [ 59, 18, 89 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 21, 45 ], [ 59, 22, 107 ], [ 59, 23, 41 ], [ 59, 24, 48 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 27, 71 ], [ 59, 28, 64 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 31, 41 ], [ 59, 32, 52 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 35, 11 ], [ 59, 36, 29 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 39, 111 ], [ 59, 40, 67 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 43, 45 ], [ 59, 44, 63 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 47, 89 ], [ 59, 48, 67 ], [ 59, 49, 71 ], [ 59, 50, 55 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 53, 48 ], [ 59, 54, 103 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 57, 81 ], [ 59, 58, 56 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 61, 111 ], [ 59, 62, 67 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 65, 0 ], [ 59, 66, 107 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 69, 45 ], [ 59, 70, 63 ], [ 59, 71, 81 ], [ 59, 72, 64 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 75, 71 ], [ 59, 76, 55 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 79, 81 ], [ 59, 80, 56 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 83, 4 ], [ 59, 84, 82 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 87, 41 ], [ 59, 88, 52 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 91, 89 ], [ 59, 92, 63 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 95, 107 ], [ 59, 96, 52 ], [ 59, 97, 48 ], [ 59, 98, 55 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 101, 64 ], [ 59, 102, 4 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 105, 103 ], [ 59, 106, 56 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 109, 11 ], [ 59, 110, 52 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 113, 82 ], [ 59, 114, 0 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 117, 29 ], [ 59, 118, 67 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 1, 20 ], [ 60, 2, 26 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 5, 103 ], [ 60, 6, 86 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 9, 41 ], [ 60, 10, 100 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 13, 85 ], [ 60, 14, 0 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 17, 116 ], [ 60, 18, 89 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 21, 15 ], [ 60, 22, 42 ], [ 60, 23, 41 ], [ 60, 24, 26 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 27, 103 ], [ 60, 28, 20 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 31, 89 ], [ 60, 32, 0 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 35, 68 ], [ 60, 36, 86 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 39, 51 ], [ 60, 40, 42 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 43, 85 ], [ 60, 44, 100 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 47, 59 ], [ 60, 48, 26 ], [ 60, 49, 100 ], [ 60, 50, 86 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 53, 41 ], [ 60, 54, 0 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 57, 68 ], [ 60, 58, 89 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 61, 15 ], [ 60, 62, 26 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 65, 59 ], [ 60, 66, 20 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 69, 51 ], [ 60, 70, 116 ], [ 60, 71, 68 ], [ 60, 72, 0 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 75, 116 ], [ 60, 76, 85 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 79, 42 ], [ 60, 80, 86 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 83, 51 ], [ 60, 84, 26 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 87, 59 ], [ 60, 88, 15 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 91, 41 ], [ 60, 92, 103 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 95, 68 ], [ 60, 96, 20 ], [ 60, 97, 42 ], [ 60, 98, 89 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 101, 15 ], [ 60, 102, 100 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 105, 59 ], [ 60, 106, 85 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 109, 116 ], [ 60, 110, 20 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 113, 51 ], [ 60, 114, 103 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 117, 68 ], [ 60, 118, 41 ], [ 60, 119, 59 ], [ 61, 0, 0 ], [ 61, 1, 20 ], [ 61, 2, 107 ], [ 61, 3, 96 ], [ 61, 4, 46 ], [ 61, 5, 29 ], [ 61, 6, 86 ], [ 61, 7, 89 ], [ 61, 8, 96 ], [ 61, 9, 107 ], [ 61, 10, 29 ], [ 61, 11, 46 ], [ 61, 12, 89 ], [ 61, 13, 86 ], [ 61, 14, 20 ], [ 61, 15, 0 ], [ 61, 16, 46 ], [ 61, 17, 29 ], [ 61, 18, 86 ], [ 61, 19, 89 ], [ 61, 20, 0 ], [ 61, 21, 20 ], [ 61, 22, 107 ], [ 61, 23, 96 ], [ 61, 24, 26 ], [ 61, 25, 100 ], [ 61, 26, 45 ], [ 61, 27, 19 ], [ 61, 28, 104 ], [ 61, 29, 4 ], [ 61, 30, 86 ], [ 61, 31, 89 ], [ 61, 32, 19 ], [ 61, 33, 45 ], [ 61, 34, 4 ], [ 61, 35, 104 ], [ 61, 36, 89 ], [ 61, 37, 86 ], [ 61, 38, 100 ], [ 61, 39, 26 ], [ 61, 40, 104 ], [ 61, 41, 4 ], [ 61, 42, 86 ], [ 61, 43, 89 ], [ 61, 44, 26 ], [ 61, 45, 100 ], [ 61, 46, 45 ], [ 61, 47, 19 ], [ 61, 48, 26 ], [ 61, 49, 100 ], [ 61, 50, 34 ], [ 61, 51, 82 ], [ 61, 52, 111 ], [ 61, 53, 93 ], [ 61, 54, 0 ], [ 61, 55, 20 ], [ 61, 56, 82 ], [ 61, 57, 34 ], [ 61, 58, 93 ], [ 61, 59, 111 ], [ 61, 60, 20 ], [ 61, 61, 0 ], [ 61, 62, 100 ], [ 61, 63, 26 ], [ 61, 64, 111 ], [ 61, 65, 93 ], [ 61, 66, 0 ], [ 61, 67, 20 ], [ 61, 68, 26 ], [ 61, 69, 100 ], [ 61, 70, 34 ], [ 61, 71, 82 ], [ 61, 72, 45 ], [ 61, 73, 19 ], [ 61, 74, 34 ], [ 61, 75, 82 ], [ 61, 76, 8 ], [ 61, 77, 74 ], [ 61, 78, 107 ], [ 61, 79, 96 ], [ 61, 80, 82 ], [ 61, 81, 34 ], [ 61, 82, 74 ], [ 61, 83, 8 ], [ 61, 84, 96 ], [ 61, 85, 107 ], [ 61, 86, 19 ], [ 61, 87, 45 ], [ 61, 88, 8 ], [ 61, 89, 74 ], [ 61, 90, 107 ], [ 61, 91, 96 ], [ 61, 92, 45 ], [ 61, 93, 19 ], [ 61, 94, 34 ], [ 61, 95, 82 ], [ 61, 96, 104 ], [ 61, 97, 4 ], [ 61, 98, 111 ], [ 61, 99, 93 ], [ 61, 100, 8 ], [ 61, 101, 74 ], [ 61, 102, 46 ], [ 61, 103, 29 ], [ 61, 104, 93 ], [ 61, 105, 111 ], [ 61, 106, 74 ], [ 61, 107, 8 ], [ 61, 108, 29 ], [ 61, 109, 46 ], [ 61, 110, 4 ], [ 61, 111, 104 ], [ 61, 112, 8 ], [ 61, 113, 74 ], [ 61, 114, 46 ], [ 61, 115, 29 ], [ 61, 116, 104 ], [ 61, 117, 4 ], [ 61, 118, 111 ], [ 61, 119, 93 ], [ 62, 0, 0 ], [ 62, 1, 104 ], [ 62, 2, 26 ], [ 62, 3, 96 ], [ 62, 4, 46 ], [ 62, 5, 19 ], [ 62, 6, 8 ], [ 62, 7, 112 ], [ 62, 8, 78 ], [ 62, 9, 115 ], [ 62, 10, 82 ], [ 62, 11, 16 ], [ 62, 12, 30 ], [ 62, 13, 111 ], [ 62, 14, 74 ], [ 62, 15, 119 ], [ 62, 16, 73 ], [ 62, 17, 37 ], [ 62, 18, 34 ], [ 62, 19, 7 ], [ 62, 20, 94 ], [ 62, 21, 15 ], [ 62, 22, 93 ], [ 62, 23, 41 ], [ 62, 24, 26 ], [ 62, 25, 46 ], [ 62, 26, 0 ], [ 62, 27, 19 ], [ 62, 28, 104 ], [ 62, 29, 96 ], [ 62, 30, 74 ], [ 62, 31, 94 ], [ 62, 32, 30 ], [ 62, 33, 67 ], [ 62, 34, 34 ], [ 62, 35, 52 ], [ 62, 36, 78 ], [ 62, 37, 93 ], [ 62, 38, 8 ], [ 62, 39, 71 ], [ 62, 40, 7 ], [ 62, 41, 55 ], [ 62, 42, 82 ], [ 62, 43, 73 ], [ 62, 44, 112 ], [ 62, 45, 51 ], [ 62, 46, 111 ], [ 62, 47, 59 ], [ 62, 48, 78 ], [ 62, 49, 82 ], [ 62, 50, 8 ], [ 62, 51, 16 ], [ 62, 52, 112 ], [ 62, 53, 115 ], [ 62, 54, 30 ], [ 62, 55, 34 ], [ 62, 56, 74 ], [ 62, 57, 52 ], [ 62, 58, 94 ], [ 62, 59, 67 ], [ 62, 60, 26 ], [ 62, 61, 41 ], [ 62, 62, 0 ], [ 62, 63, 59 ], [ 62, 64, 15 ], [ 62, 65, 51 ], [ 62, 66, 46 ], [ 62, 67, 37 ], [ 62, 68, 104 ], [ 62, 69, 55 ], [ 62, 70, 119 ], [ 62, 71, 71 ], [ 62, 72, 74 ], [ 62, 73, 73 ], [ 62, 74, 30 ], [ 62, 75, 37 ], [ 62, 76, 111 ], [ 62, 77, 119 ], [ 62, 78, 8 ], [ 62, 79, 7 ], [ 62, 80, 78 ], [ 62, 81, 55 ], [ 62, 82, 93 ], [ 62, 83, 71 ], [ 62, 84, 0 ], [ 62, 85, 15 ], [ 62, 86, 26 ], [ 62, 87, 51 ], [ 62, 88, 41 ], [ 62, 89, 59 ], [ 62, 90, 19 ], [ 62, 91, 16 ], [ 62, 92, 96 ], [ 62, 93, 52 ], [ 62, 94, 115 ], [ 62, 95, 67 ], [ 62, 96, 94 ], [ 62, 97, 93 ], [ 62, 98, 34 ], [ 62, 99, 41 ], [ 62, 100, 7 ], [ 62, 101, 15 ], [ 62, 102, 112 ], [ 62, 103, 111 ], [ 62, 104, 82 ], [ 62, 105, 59 ], [ 62, 106, 73 ], [ 62, 107, 51 ], [ 62, 108, 104 ], [ 62, 109, 119 ], [ 62, 110, 46 ], [ 62, 111, 71 ], [ 62, 112, 37 ], [ 62, 113, 55 ], [ 62, 114, 96 ], [ 62, 115, 115 ], [ 62, 116, 19 ], [ 62, 117, 67 ], [ 62, 118, 16 ], [ 62, 119, 52 ], [ 63, 0, 0 ], [ 63, 1, 104 ], [ 63, 2, 23 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 5, 29 ], [ 63, 6, 8 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 9, 77 ], [ 63, 10, 103 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 13, 30 ], [ 63, 14, 20 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 17, 82 ], [ 63, 18, 108 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 21, 94 ], [ 63, 22, 26 ], [ 63, 23, 78 ], [ 63, 24, 26 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 27, 103 ], [ 63, 28, 20 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 31, 94 ], [ 63, 32, 29 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 35, 108 ], [ 63, 36, 77 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 39, 8 ], [ 63, 40, 104 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 43, 82 ], [ 63, 44, 23 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 47, 30 ], [ 63, 48, 78 ], [ 63, 49, 82 ], [ 63, 50, 108 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 53, 23 ], [ 63, 54, 30 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 57, 20 ], [ 63, 58, 77 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 61, 26 ], [ 63, 62, 103 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 65, 94 ], [ 63, 66, 29 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 69, 104 ], [ 63, 70, 8 ], [ 63, 71, 74 ], [ 63, 72, 94 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 75, 29 ], [ 63, 76, 8 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 79, 108 ], [ 63, 80, 82 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 83, 26 ], [ 63, 84, 104 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 87, 23 ], [ 63, 88, 30 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 91, 103 ], [ 63, 92, 20 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 95, 77 ], [ 63, 96, 74 ], [ 63, 97, 77 ], [ 63, 98, 30 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 101, 104 ], [ 63, 102, 8 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 105, 103 ], [ 63, 106, 94 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 109, 20 ], [ 63, 110, 26 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 113, 82 ], [ 63, 114, 23 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 117, 29 ], [ 63, 118, 108 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 1, 25 ], [ 64, 2, 107 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 5, 19 ], [ 64, 6, 7 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 9, 26 ], [ 64, 10, 90 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 13, 33 ], [ 64, 14, 74 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 17, 103 ], [ 64, 18, 111 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 21, 20 ], [ 64, 22, 78 ], [ 64, 23, 96 ], [ 64, 24, 26 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 27, 103 ], [ 64, 28, 20 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 31, 78 ], [ 64, 32, 111 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 35, 25 ], [ 64, 36, 90 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 39, 107 ], [ 64, 40, 7 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 43, 74 ], [ 64, 44, 33 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 47, 19 ], [ 64, 48, 42 ], [ 64, 49, 19 ], [ 64, 50, 33 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 53, 78 ], [ 64, 54, 103 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 57, 7 ], [ 64, 58, 74 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 61, 111 ], [ 64, 62, 20 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 65, 26 ], [ 64, 66, 107 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 69, 90 ], [ 64, 70, 25 ], [ 64, 71, 3 ], [ 64, 72, 25 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 75, 90 ], [ 64, 76, 111 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 79, 20 ], [ 64, 80, 78 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 83, 33 ], [ 64, 84, 19 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 87, 74 ], [ 64, 88, 107 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 91, 7 ], [ 64, 92, 26 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 95, 103 ], [ 64, 96, 0 ], [ 64, 97, 107 ], [ 64, 98, 7 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 101, 74 ], [ 64, 102, 26 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 105, 111 ], [ 64, 106, 90 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 109, 33 ], [ 64, 110, 103 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 113, 20 ], [ 64, 114, 25 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 117, 78 ], [ 64, 118, 19 ], [ 64, 119, 96 ], [ 65, 0, 0 ], [ 65, 1, 25 ], [ 65, 2, 23 ], [ 65, 3, 96 ], [ 65, 4, 46 ], [ 65, 5, 103 ], [ 65, 6, 7 ], [ 65, 7, 30 ], [ 65, 8, 23 ], [ 65, 9, 78 ], [ 65, 10, 46 ], [ 65, 11, 73 ], [ 65, 12, 7 ], [ 65, 13, 112 ], [ 65, 14, 0 ], [ 65, 15, 94 ], [ 65, 16, 103 ], [ 65, 17, 73 ], [ 65, 18, 30 ], [ 65, 19, 112 ], [ 65, 20, 25 ], [ 65, 21, 94 ], [ 65, 22, 96 ], [ 65, 23, 78 ], [ 65, 24, 26 ], [ 65, 25, 3 ], [ 65, 26, 99 ], [ 65, 27, 19 ], [ 65, 28, 104 ], [ 65, 29, 42 ], [ 65, 30, 73 ], [ 65, 31, 78 ], [ 65, 32, 99 ], [ 65, 33, 30 ], [ 65, 34, 104 ], [ 65, 35, 7 ], [ 65, 36, 73 ], [ 65, 37, 94 ], [ 65, 38, 26 ], [ 65, 39, 112 ], [ 65, 40, 42 ], [ 65, 41, 7 ], [ 65, 42, 78 ], [ 65, 43, 94 ], [ 65, 44, 3 ], [ 65, 45, 112 ], [ 65, 46, 19 ], [ 65, 47, 30 ], [ 65, 48, 42 ], [ 65, 49, 19 ], [ 65, 50, 85 ], [ 65, 51, 3 ], [ 65, 52, 86 ], [ 65, 53, 26 ], [ 65, 54, 103 ], [ 65, 55, 96 ], [ 65, 56, 85 ], [ 65, 57, 25 ], [ 65, 58, 86 ], [ 65, 59, 0 ], [ 65, 60, 103 ], [ 65, 61, 112 ], [ 65, 62, 42 ], [ 65, 63, 94 ], [ 65, 64, 26 ], [ 65, 65, 0 ], [ 65, 66, 96 ], [ 65, 67, 112 ], [ 65, 68, 19 ], [ 65, 69, 94 ], [ 65, 70, 3 ], [ 65, 71, 25 ], [ 65, 72, 104 ], [ 65, 73, 3 ], [ 65, 74, 86 ], [ 65, 75, 19 ], [ 65, 76, 85 ], [ 65, 77, 99 ], [ 65, 78, 46 ], [ 65, 79, 25 ], [ 65, 80, 86 ], [ 65, 81, 96 ], [ 65, 82, 85 ], [ 65, 83, 23 ], [ 65, 84, 46 ], [ 65, 85, 30 ], [ 65, 86, 104 ], [ 65, 87, 78 ], [ 65, 88, 99 ], [ 65, 89, 23 ], [ 65, 90, 25 ], [ 65, 91, 30 ], [ 65, 92, 3 ], [ 65, 93, 78 ], [ 65, 94, 19 ], [ 65, 95, 96 ], [ 65, 96, 99 ], [ 65, 97, 26 ], [ 65, 98, 85 ], [ 65, 99, 42 ], [ 65, 100, 86 ], [ 65, 101, 104 ], [ 65, 102, 23 ], [ 65, 103, 0 ], [ 65, 104, 85 ], [ 65, 105, 103 ], [ 65, 106, 86 ], [ 65, 107, 46 ], [ 65, 108, 23 ], [ 65, 109, 7 ], [ 65, 110, 99 ], [ 65, 111, 73 ], [ 65, 112, 104 ], [ 65, 113, 46 ], [ 65, 114, 0 ], [ 65, 115, 7 ], [ 65, 116, 26 ], [ 65, 117, 73 ], [ 65, 118, 42 ], [ 65, 119, 103 ], [ 66, 0, 0 ], [ 66, 1, 15 ], [ 66, 2, 26 ], [ 66, 3, 41 ], [ 66, 4, 73 ], [ 66, 5, 82 ], [ 66, 6, 111 ], [ 66, 7, 112 ], [ 66, 8, 41 ], [ 66, 9, 26 ], [ 66, 10, 82 ], [ 66, 11, 73 ], [ 66, 12, 112 ], [ 66, 13, 111 ], [ 66, 14, 15 ], [ 66, 15, 0 ], [ 66, 16, 73 ], [ 66, 17, 82 ], [ 66, 18, 111 ], [ 66, 19, 112 ], [ 66, 20, 0 ], [ 66, 21, 15 ], [ 66, 22, 26 ], [ 66, 23, 41 ], [ 66, 24, 29 ], [ 66, 25, 77 ], [ 66, 26, 3 ], [ 66, 27, 81 ], [ 66, 28, 12 ], [ 66, 29, 38 ], [ 66, 30, 111 ], [ 66, 31, 112 ], [ 66, 32, 81 ], [ 66, 33, 3 ], [ 66, 34, 38 ], [ 66, 35, 12 ], [ 66, 36, 112 ], [ 66, 37, 111 ], [ 66, 38, 77 ], [ 66, 39, 29 ], [ 66, 40, 12 ], [ 66, 41, 38 ], [ 66, 42, 111 ], [ 66, 43, 112 ], [ 66, 44, 29 ], [ 66, 45, 77 ], [ 66, 46, 3 ], [ 66, 47, 81 ], [ 66, 48, 29 ], [ 66, 49, 77 ], [ 66, 50, 116 ], [ 66, 51, 86 ], [ 66, 52, 107 ], [ 66, 53, 33 ], [ 66, 54, 0 ], [ 66, 55, 15 ], [ 66, 56, 86 ], [ 66, 57, 116 ], [ 66, 58, 33 ], [ 66, 59, 107 ], [ 66, 60, 15 ], [ 66, 61, 0 ], [ 66, 62, 77 ], [ 66, 63, 29 ], [ 66, 64, 107 ], [ 66, 65, 33 ], [ 66, 66, 0 ], [ 66, 67, 15 ], [ 66, 68, 29 ], [ 66, 69, 77 ], [ 66, 70, 116 ], [ 66, 71, 86 ], [ 66, 72, 3 ], [ 66, 73, 81 ], [ 66, 74, 116 ], [ 66, 75, 86 ], [ 66, 76, 99 ], [ 66, 77, 11 ], [ 66, 78, 26 ], [ 66, 79, 41 ], [ 66, 80, 86 ], [ 66, 81, 116 ], [ 66, 82, 11 ], [ 66, 83, 99 ], [ 66, 84, 41 ], [ 66, 85, 26 ], [ 66, 86, 81 ], [ 66, 87, 3 ], [ 66, 88, 99 ], [ 66, 89, 11 ], [ 66, 90, 26 ], [ 66, 91, 41 ], [ 66, 92, 3 ], [ 66, 93, 81 ], [ 66, 94, 116 ], [ 66, 95, 86 ], [ 66, 96, 12 ], [ 66, 97, 38 ], [ 66, 98, 107 ], [ 66, 99, 33 ], [ 66, 100, 99 ], [ 66, 101, 11 ], [ 66, 102, 73 ], [ 66, 103, 82 ], [ 66, 104, 33 ], [ 66, 105, 107 ], [ 66, 106, 11 ], [ 66, 107, 99 ], [ 66, 108, 82 ], [ 66, 109, 73 ], [ 66, 110, 38 ], [ 66, 111, 12 ], [ 66, 112, 99 ], [ 66, 113, 11 ], [ 66, 114, 73 ], [ 66, 115, 82 ], [ 66, 116, 12 ], [ 66, 117, 38 ], [ 66, 118, 107 ], [ 66, 119, 33 ], [ 67, 0, 0 ], [ 67, 1, 15 ], [ 67, 2, 78 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 5, 29 ], [ 67, 6, 111 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 9, 77 ], [ 67, 10, 46 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 13, 112 ], [ 67, 14, 20 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 17, 37 ], [ 67, 18, 108 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 21, 0 ], [ 67, 22, 93 ], [ 67, 23, 78 ], [ 67, 24, 29 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 27, 15 ], [ 67, 28, 78 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 31, 112 ], [ 67, 32, 63 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 35, 0 ], [ 67, 36, 108 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 39, 77 ], [ 67, 40, 56 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 43, 111 ], [ 67, 44, 52 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 47, 37 ], [ 67, 48, 29 ], [ 67, 49, 77 ], [ 67, 50, 46 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 53, 111 ], [ 67, 54, 0 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 57, 112 ], [ 67, 58, 63 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 61, 15 ], [ 67, 62, 52 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 65, 93 ], [ 67, 66, 20 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 69, 29 ], [ 67, 70, 56 ], [ 67, 71, 46 ], [ 67, 72, 37 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 75, 112 ], [ 67, 76, 20 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 79, 77 ], [ 67, 80, 56 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 83, 108 ], [ 67, 84, 93 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 87, 15 ], [ 67, 88, 52 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 91, 78 ], [ 67, 92, 63 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 95, 46 ], [ 67, 96, 78 ], [ 67, 97, 0 ], [ 67, 98, 93 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 101, 108 ], [ 67, 102, 37 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 105, 111 ], [ 67, 106, 52 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 109, 29 ], [ 67, 110, 56 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 113, 20 ], [ 67, 114, 46 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 117, 78 ], [ 67, 118, 63 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 1, 81 ], [ 68, 2, 26 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 5, 16 ], [ 68, 6, 11 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 9, 78 ], [ 68, 10, 100 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 13, 85 ], [ 68, 14, 119 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 17, 29 ], [ 68, 18, 30 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 21, 15 ], [ 68, 22, 107 ], [ 68, 23, 41 ], [ 68, 24, 29 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 27, 15 ], [ 68, 28, 78 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 31, 119 ], [ 68, 32, 85 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 35, 26 ], [ 68, 36, 107 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 39, 16 ], [ 68, 40, 30 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 43, 100 ], [ 68, 44, 11 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 47, 81 ], [ 68, 48, 103 ], [ 68, 49, 107 ], [ 68, 50, 16 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 53, 85 ], [ 68, 54, 30 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 57, 100 ], [ 68, 58, 15 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 61, 26 ], [ 68, 62, 81 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 65, 11 ], [ 68, 66, 29 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 69, 78 ], [ 68, 70, 119 ], [ 68, 71, 89 ], [ 68, 72, 100 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 75, 30 ], [ 68, 76, 81 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 79, 11 ], [ 68, 80, 78 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 83, 119 ], [ 68, 84, 15 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 87, 29 ], [ 68, 88, 107 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 91, 16 ], [ 68, 92, 26 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 95, 85 ], [ 68, 96, 115 ], [ 68, 97, 119 ], [ 68, 98, 26 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 101, 11 ], [ 68, 102, 85 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 105, 107 ], [ 68, 106, 29 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 109, 81 ], [ 68, 110, 16 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 113, 30 ], [ 68, 114, 78 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 117, 15 ], [ 68, 118, 100 ], [ 68, 119, 8 ], [ 69, 0, 0 ], [ 69, 1, 81 ], [ 69, 2, 12 ], [ 69, 3, 41 ], [ 69, 4, 73 ], [ 69, 5, 29 ], [ 69, 6, 11 ], [ 69, 7, 89 ], [ 69, 8, 23 ], [ 69, 9, 107 ], [ 69, 10, 90 ], [ 69, 11, 103 ], [ 69, 12, 7 ], [ 69, 13, 33 ], [ 69, 14, 20 ], [ 69, 15, 119 ], [ 69, 16, 46 ], [ 69, 17, 116 ], [ 69, 18, 86 ], [ 69, 19, 30 ], [ 69, 20, 94 ], [ 69, 21, 99 ], [ 69, 22, 42 ], [ 69, 23, 96 ], [ 69, 24, 29 ], [ 69, 25, 41 ], [ 69, 26, 73 ], [ 69, 27, 81 ], [ 69, 28, 12 ], [ 69, 29, 0 ], [ 69, 30, 99 ], [ 69, 31, 119 ], [ 69, 32, 51 ], [ 69, 33, 33 ], [ 69, 34, 60 ], [ 69, 35, 30 ], [ 69, 36, 96 ], [ 69, 37, 107 ], [ 69, 38, 52 ], [ 69, 39, 89 ], [ 69, 40, 56 ], [ 69, 41, 86 ], [ 69, 42, 116 ], [ 69, 43, 103 ], [ 69, 44, 64 ], [ 69, 45, 11 ], [ 69, 46, 55 ], [ 69, 47, 7 ], [ 69, 48, 103 ], [ 69, 49, 107 ], [ 69, 50, 90 ], [ 69, 51, 89 ], [ 69, 52, 23 ], [ 69, 53, 11 ], [ 69, 54, 30 ], [ 69, 55, 33 ], [ 69, 56, 60 ], [ 69, 57, 119 ], [ 69, 58, 51 ], [ 69, 59, 99 ], [ 69, 60, 42 ], [ 69, 61, 41 ], [ 69, 62, 55 ], [ 69, 63, 81 ], [ 69, 64, 64 ], [ 69, 65, 94 ], [ 69, 66, 46 ], [ 69, 67, 29 ], [ 69, 68, 56 ], [ 69, 69, 0 ], [ 69, 70, 52 ], [ 69, 71, 20 ], [ 69, 72, 116 ], [ 69, 73, 119 ], [ 69, 74, 46 ], [ 69, 75, 33 ], [ 69, 76, 20 ], [ 69, 77, 7 ], [ 69, 78, 86 ], [ 69, 79, 89 ], [ 69, 80, 56 ], [ 69, 81, 107 ], [ 69, 82, 52 ], [ 69, 83, 96 ], [ 69, 84, 94 ], [ 69, 85, 81 ], [ 69, 86, 64 ], [ 69, 87, 41 ], [ 69, 88, 55 ], [ 69, 89, 42 ], [ 69, 90, 90 ], [ 69, 91, 73 ], [ 69, 92, 60 ], [ 69, 93, 12 ], [ 69, 94, 51 ], [ 69, 95, 23 ], [ 69, 96, 96 ], [ 69, 97, 99 ], [ 69, 98, 42 ], [ 69, 99, 30 ], [ 69, 100, 94 ], [ 69, 101, 86 ], [ 69, 102, 7 ], [ 69, 103, 11 ], [ 69, 104, 55 ], [ 69, 105, 103 ], [ 69, 106, 64 ], [ 69, 107, 116 ], [ 69, 108, 20 ], [ 69, 109, 0 ], [ 69, 110, 52 ], [ 69, 111, 29 ], [ 69, 112, 56 ], [ 69, 113, 46 ], [ 69, 114, 23 ], [ 69, 115, 12 ], [ 69, 116, 51 ], [ 69, 117, 73 ], [ 69, 118, 60 ], [ 69, 119, 90 ], [ 70, 0, 0 ], [ 70, 1, 25 ], [ 70, 2, 78 ], [ 70, 3, 41 ], [ 70, 4, 73 ], [ 70, 5, 16 ], [ 70, 6, 7 ], [ 70, 7, 30 ], [ 70, 8, 96 ], [ 70, 9, 41 ], [ 70, 10, 103 ], [ 70, 11, 16 ], [ 70, 12, 89 ], [ 70, 13, 30 ], [ 70, 14, 119 ], [ 70, 15, 25 ], [ 70, 16, 103 ], [ 70, 17, 73 ], [ 70, 18, 89 ], [ 70, 19, 7 ], [ 70, 20, 119 ], [ 70, 21, 0 ], [ 70, 22, 96 ], [ 70, 23, 78 ], [ 70, 24, 29 ], [ 70, 25, 4 ], [ 70, 26, 37 ], [ 70, 27, 81 ], [ 70, 28, 12 ], [ 70, 29, 74 ], [ 70, 30, 96 ], [ 70, 31, 103 ], [ 70, 32, 7 ], [ 70, 33, 81 ], [ 70, 34, 30 ], [ 70, 35, 74 ], [ 70, 36, 119 ], [ 70, 37, 103 ], [ 70, 38, 89 ], [ 70, 39, 4 ], [ 70, 40, 30 ], [ 70, 41, 12 ], [ 70, 42, 119 ], [ 70, 43, 96 ], [ 70, 44, 89 ], [ 70, 45, 29 ], [ 70, 46, 7 ], [ 70, 47, 37 ], [ 70, 48, 37 ], [ 70, 49, 12 ], [ 70, 50, 29 ], [ 70, 51, 111 ], [ 70, 52, 4 ], [ 70, 53, 108 ], [ 70, 54, 78 ], [ 70, 55, 73 ], [ 70, 56, 0 ], [ 70, 57, 111 ], [ 70, 58, 25 ], [ 70, 59, 108 ], [ 70, 60, 89 ], [ 70, 61, 73 ], [ 70, 62, 119 ], [ 70, 63, 12 ], [ 70, 64, 25 ], [ 70, 65, 4 ], [ 70, 66, 89 ], [ 70, 67, 78 ], [ 70, 68, 119 ], [ 70, 69, 37 ], [ 70, 70, 0 ], [ 70, 71, 29 ], [ 70, 72, 29 ], [ 70, 73, 74 ], [ 70, 74, 37 ], [ 70, 75, 108 ], [ 70, 76, 81 ], [ 70, 77, 111 ], [ 70, 78, 0 ], [ 70, 79, 16 ], [ 70, 80, 78 ], [ 70, 81, 108 ], [ 70, 82, 41 ], [ 70, 83, 111 ], [ 70, 84, 7 ], [ 70, 85, 16 ], [ 70, 86, 96 ], [ 70, 87, 74 ], [ 70, 88, 41 ], [ 70, 89, 81 ], [ 70, 90, 7 ], [ 70, 91, 0 ], [ 70, 92, 96 ], [ 70, 93, 29 ], [ 70, 94, 78 ], [ 70, 95, 37 ], [ 70, 96, 4 ], [ 70, 97, 81 ], [ 70, 98, 12 ], [ 70, 99, 111 ], [ 70, 100, 74 ], [ 70, 101, 108 ], [ 70, 102, 25 ], [ 70, 103, 41 ], [ 70, 104, 73 ], [ 70, 105, 111 ], [ 70, 106, 16 ], [ 70, 107, 108 ], [ 70, 108, 30 ], [ 70, 109, 41 ], [ 70, 110, 103 ], [ 70, 111, 81 ], [ 70, 112, 16 ], [ 70, 113, 74 ], [ 70, 114, 30 ], [ 70, 115, 25 ], [ 70, 116, 103 ], [ 70, 117, 4 ], [ 70, 118, 73 ], [ 70, 119, 12 ], [ 71, 0, 0 ], [ 71, 1, 25 ], [ 71, 2, 12 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 5, 82 ], [ 71, 6, 7 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 9, 115 ], [ 71, 10, 29 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 13, 86 ], [ 71, 14, 15 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 17, 103 ], [ 71, 18, 34 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 21, 99 ], [ 71, 22, 78 ], [ 71, 23, 96 ], [ 71, 24, 29 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 27, 15 ], [ 71, 28, 78 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 31, 103 ], [ 71, 32, 25 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 35, 86 ], [ 71, 36, 99 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 39, 34 ], [ 71, 40, 12 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 43, 115 ], [ 71, 44, 82 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 47, 7 ], [ 71, 48, 37 ], [ 71, 49, 12 ], [ 71, 50, 103 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 53, 34 ], [ 71, 54, 78 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 57, 99 ], [ 71, 58, 7 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 61, 82 ], [ 71, 62, 115 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 65, 25 ], [ 71, 66, 86 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 69, 15 ], [ 71, 70, 29 ], [ 71, 71, 0 ], [ 71, 72, 82 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 75, 7 ], [ 71, 76, 99 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 79, 29 ], [ 71, 80, 86 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 83, 115 ], [ 71, 84, 34 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 87, 78 ], [ 71, 88, 15 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 91, 25 ], [ 71, 92, 103 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 95, 12 ], [ 71, 96, 77 ], [ 71, 97, 25 ], [ 71, 98, 115 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 101, 86 ], [ 71, 102, 15 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 105, 103 ], [ 71, 106, 34 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 109, 12 ], [ 71, 110, 99 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 113, 82 ], [ 71, 114, 7 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 117, 29 ], [ 71, 118, 78 ], [ 71, 119, 37 ], [ 72, 0, 0 ], [ 72, 1, 4 ], [ 72, 2, 8 ], [ 72, 3, 7 ], [ 72, 4, 23 ], [ 72, 5, 19 ], [ 72, 6, 30 ], [ 72, 7, 42 ], [ 72, 8, 38 ], [ 72, 9, 25 ], [ 72, 10, 41 ], [ 72, 11, 29 ], [ 72, 12, 56 ], [ 72, 13, 68 ], [ 72, 14, 60 ], [ 72, 15, 52 ], [ 72, 16, 63 ], [ 72, 17, 51 ], [ 72, 18, 107 ], [ 72, 19, 111 ], [ 72, 20, 115 ], [ 72, 21, 99 ], [ 72, 22, 116 ], [ 72, 23, 100 ], [ 72, 24, 38 ], [ 72, 25, 41 ], [ 72, 26, 60 ], [ 72, 27, 63 ], [ 72, 28, 115 ], [ 72, 29, 116 ], [ 72, 30, 56 ], [ 72, 31, 107 ], [ 72, 32, 0 ], [ 72, 33, 81 ], [ 72, 34, 4 ], [ 72, 35, 82 ], [ 72, 36, 30 ], [ 72, 37, 111 ], [ 72, 38, 8 ], [ 72, 39, 89 ], [ 72, 40, 7 ], [ 72, 41, 85 ], [ 72, 42, 42 ], [ 72, 43, 68 ], [ 72, 44, 23 ], [ 72, 45, 94 ], [ 72, 46, 19 ], [ 72, 47, 90 ], [ 72, 48, 8 ], [ 72, 49, 23 ], [ 72, 50, 56 ], [ 72, 51, 51 ], [ 72, 52, 107 ], [ 72, 53, 100 ], [ 72, 54, 60 ], [ 72, 55, 115 ], [ 72, 56, 30 ], [ 72, 57, 85 ], [ 72, 58, 42 ], [ 72, 59, 90 ], [ 72, 60, 0 ], [ 72, 61, 99 ], [ 72, 62, 38 ], [ 72, 63, 94 ], [ 72, 64, 25 ], [ 72, 65, 81 ], [ 72, 66, 4 ], [ 72, 67, 52 ], [ 72, 68, 41 ], [ 72, 69, 89 ], [ 72, 70, 29 ], [ 72, 71, 82 ], [ 72, 72, 0 ], [ 72, 73, 19 ], [ 72, 74, 30 ], [ 72, 75, 29 ], [ 72, 76, 111 ], [ 72, 77, 99 ], [ 72, 78, 38 ], [ 72, 79, 116 ], [ 72, 80, 56 ], [ 72, 81, 82 ], [ 72, 82, 68 ], [ 72, 83, 94 ], [ 72, 84, 8 ], [ 72, 85, 100 ], [ 72, 86, 60 ], [ 72, 87, 90 ], [ 72, 88, 52 ], [ 72, 89, 89 ], [ 72, 90, 7 ], [ 72, 91, 25 ], [ 72, 92, 63 ], [ 72, 93, 81 ], [ 72, 94, 51 ], [ 72, 95, 85 ], [ 72, 96, 4 ], [ 72, 97, 7 ], [ 72, 98, 42 ], [ 72, 99, 25 ], [ 72, 100, 68 ], [ 72, 101, 52 ], [ 72, 102, 41 ], [ 72, 103, 63 ], [ 72, 104, 107 ], [ 72, 105, 81 ], [ 72, 106, 111 ], [ 72, 107, 89 ], [ 72, 108, 23 ], [ 72, 109, 51 ], [ 72, 110, 115 ], [ 72, 111, 85 ], [ 72, 112, 99 ], [ 72, 113, 94 ], [ 72, 114, 19 ], [ 72, 115, 29 ], [ 72, 116, 116 ], [ 72, 117, 82 ], [ 72, 118, 100 ], [ 72, 119, 90 ], [ 73, 0, 0 ], [ 73, 1, 4 ], [ 73, 2, 23 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 5, 11 ], [ 73, 6, 30 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 9, 34 ], [ 73, 10, 38 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 13, 104 ], [ 73, 14, 119 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 17, 107 ], [ 73, 18, 71 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 21, 67 ], [ 73, 22, 60 ], [ 73, 23, 56 ], [ 73, 24, 38 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 27, 119 ], [ 73, 28, 60 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 31, 107 ], [ 73, 32, 4 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 35, 104 ], [ 73, 36, 67 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 39, 71 ], [ 73, 40, 23 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 43, 34 ], [ 73, 44, 11 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 47, 30 ], [ 73, 48, 8 ], [ 73, 49, 23 ], [ 73, 50, 107 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 53, 71 ], [ 73, 54, 60 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 57, 67 ], [ 73, 58, 30 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 61, 11 ], [ 73, 62, 34 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 65, 4 ], [ 73, 66, 104 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 69, 119 ], [ 73, 70, 38 ], [ 73, 71, 0 ], [ 73, 72, 11 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 75, 30 ], [ 73, 76, 67 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 79, 38 ], [ 73, 80, 104 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 83, 34 ], [ 73, 84, 71 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 87, 60 ], [ 73, 88, 119 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 91, 4 ], [ 73, 92, 107 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 95, 23 ], [ 73, 96, 20 ], [ 73, 97, 4 ], [ 73, 98, 34 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 101, 104 ], [ 73, 102, 119 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 105, 107 ], [ 73, 106, 71 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 109, 23 ], [ 73, 110, 67 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 113, 11 ], [ 73, 114, 30 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 117, 38 ], [ 73, 118, 60 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 1, 20 ], [ 74, 2, 8 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 5, 0 ], [ 74, 6, 48 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 9, 52 ], [ 74, 10, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 13, 25 ], [ 74, 14, 38 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 17, 26 ], [ 74, 18, 100 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 21, 99 ], [ 74, 22, 119 ], [ 74, 23, 100 ], [ 74, 24, 38 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 27, 119 ], [ 74, 28, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 31, 89 ], [ 74, 32, 8 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 35, 86 ], [ 74, 36, 78 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 39, 81 ], [ 74, 40, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 43, 94 ], [ 74, 44, 20 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 47, 90 ], [ 74, 48, 26 ], [ 74, 49, 100 ], [ 74, 50, 8 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 53, 26 ], [ 74, 54, 78 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 57, 90 ], [ 74, 58, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 61, 73 ], [ 74, 62, 48 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 65, 86 ], [ 74, 66, 89 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 69, 77 ], [ 74, 70, 52 ], [ 74, 71, 89 ], [ 74, 72, 48 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 75, 99 ], [ 74, 76, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 79, 94 ], [ 74, 80, 38 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 83, 86 ], [ 74, 84, 78 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 87, 77 ], [ 74, 88, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 91, 73 ], [ 74, 92, 25 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 95, 81 ], [ 74, 96, 52 ], [ 74, 97, 25 ], [ 74, 98, 20 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 101, 52 ], [ 74, 102, 89 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 105, 81 ], [ 74, 106, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 109, 73 ], [ 74, 110, 100 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 113, 90 ], [ 74, 114, 94 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 117, 77 ], [ 74, 118, 99 ], [ 74, 119, 94 ], [ 75, 0, 0 ], [ 75, 1, 20 ], [ 75, 2, 3 ], [ 75, 3, 7 ], [ 75, 4, 23 ], [ 75, 5, 11 ], [ 75, 6, 48 ], [ 75, 7, 52 ], [ 75, 8, 63 ], [ 75, 9, 55 ], [ 75, 10, 64 ], [ 75, 11, 67 ], [ 75, 12, 100 ], [ 75, 13, 96 ], [ 75, 14, 119 ], [ 75, 15, 104 ], [ 75, 16, 115 ], [ 75, 17, 112 ], [ 75, 18, 26 ], [ 75, 19, 29 ], [ 75, 20, 38 ], [ 75, 21, 45 ], [ 75, 22, 37 ], [ 75, 23, 33 ], [ 75, 24, 38 ], [ 75, 25, 119 ], [ 75, 26, 37 ], [ 75, 27, 63 ], [ 75, 28, 115 ], [ 75, 29, 64 ], [ 75, 30, 86 ], [ 75, 31, 89 ], [ 75, 32, 7 ], [ 75, 33, 33 ], [ 75, 34, 11 ], [ 75, 35, 112 ], [ 75, 36, 90 ], [ 75, 37, 93 ], [ 75, 38, 20 ], [ 75, 39, 45 ], [ 75, 40, 23 ], [ 75, 41, 67 ], [ 75, 42, 78 ], [ 75, 43, 82 ], [ 75, 44, 0 ], [ 75, 45, 104 ], [ 75, 46, 3 ], [ 75, 47, 55 ], [ 75, 48, 26 ], [ 75, 49, 100 ], [ 75, 50, 33 ], [ 75, 51, 3 ], [ 75, 52, 112 ], [ 75, 53, 23 ], [ 75, 54, 78 ], [ 75, 55, 90 ], [ 75, 56, 55 ], [ 75, 57, 37 ], [ 75, 58, 67 ], [ 75, 59, 115 ], [ 75, 60, 89 ], [ 75, 61, 82 ], [ 75, 62, 52 ], [ 75, 63, 29 ], [ 75, 64, 64 ], [ 75, 65, 11 ], [ 75, 66, 86 ], [ 75, 67, 93 ], [ 75, 68, 48 ], [ 75, 69, 96 ], [ 75, 70, 63 ], [ 75, 71, 7 ], [ 75, 72, 29 ], [ 75, 73, 48 ], [ 75, 74, 45 ], [ 75, 75, 0 ], [ 75, 76, 67 ], [ 75, 77, 11 ], [ 75, 78, 82 ], [ 75, 79, 86 ], [ 75, 80, 104 ], [ 75, 81, 38 ], [ 75, 82, 112 ], [ 75, 83, 64 ], [ 75, 84, 93 ], [ 75, 85, 78 ], [ 75, 86, 96 ], [ 75, 87, 26 ], [ 75, 88, 115 ], [ 75, 89, 23 ], [ 75, 90, 90 ], [ 75, 91, 89 ], [ 75, 92, 100 ], [ 75, 93, 52 ], [ 75, 94, 119 ], [ 75, 95, 20 ], [ 75, 96, 96 ], [ 75, 97, 52 ], [ 75, 98, 104 ], [ 75, 99, 20 ], [ 75, 100, 55 ], [ 75, 101, 7 ], [ 75, 102, 93 ], [ 75, 103, 89 ], [ 75, 104, 45 ], [ 75, 105, 119 ], [ 75, 106, 33 ], [ 75, 107, 63 ], [ 75, 108, 82 ], [ 75, 109, 90 ], [ 75, 110, 29 ], [ 75, 111, 100 ], [ 75, 112, 37 ], [ 75, 113, 3 ], [ 75, 114, 78 ], [ 75, 115, 86 ], [ 75, 116, 26 ], [ 75, 117, 48 ], [ 75, 118, 38 ], [ 75, 119, 0 ], [ 76, 0, 0 ], [ 76, 1, 7 ], [ 76, 2, 23 ], [ 76, 3, 7 ], [ 76, 4, 23 ], [ 76, 5, 0 ], [ 76, 6, 111 ], [ 76, 7, 104 ], [ 76, 8, 115 ], [ 76, 9, 104 ], [ 76, 10, 115 ], [ 76, 11, 111 ], [ 76, 12, 33 ], [ 76, 13, 42 ], [ 76, 14, 38 ], [ 76, 15, 42 ], [ 76, 16, 38 ], [ 76, 17, 33 ], [ 76, 18, 56 ], [ 76, 19, 67 ], [ 76, 20, 63 ], [ 76, 21, 67 ], [ 76, 22, 63 ], [ 76, 23, 56 ], [ 76, 24, 38 ], [ 76, 25, 63 ], [ 76, 26, 115 ], [ 76, 27, 63 ], [ 76, 28, 115 ], [ 76, 29, 38 ], [ 76, 30, 68 ], [ 76, 31, 45 ], [ 76, 32, 23 ], [ 76, 33, 45 ], [ 76, 34, 23 ], [ 76, 35, 68 ], [ 76, 36, 55 ], [ 76, 37, 107 ], [ 76, 38, 0 ], [ 76, 39, 107 ], [ 76, 40, 0 ], [ 76, 41, 55 ], [ 76, 42, 30 ], [ 76, 43, 112 ], [ 76, 44, 7 ], [ 76, 45, 112 ], [ 76, 46, 7 ], [ 76, 47, 30 ], [ 76, 48, 33 ], [ 76, 49, 56 ], [ 76, 50, 23 ], [ 76, 51, 56 ], [ 76, 52, 23 ], [ 76, 53, 33 ], [ 76, 54, 55 ], [ 76, 55, 30 ], [ 76, 56, 115 ], [ 76, 57, 30 ], [ 76, 58, 115 ], [ 76, 59, 55 ], [ 76, 60, 68 ], [ 76, 61, 12 ], [ 76, 62, 111 ], [ 76, 63, 12 ], [ 76, 64, 111 ], [ 76, 65, 68 ], [ 76, 66, 45 ], [ 76, 67, 15 ], [ 76, 68, 104 ], [ 76, 69, 15 ], [ 76, 70, 104 ], [ 76, 71, 45 ], [ 76, 72, 111 ], [ 76, 73, 67 ], [ 76, 74, 0 ], [ 76, 75, 67 ], [ 76, 76, 0 ], [ 76, 77, 111 ], [ 76, 78, 68 ], [ 76, 79, 112 ], [ 76, 80, 38 ], [ 76, 81, 112 ], [ 76, 82, 38 ], [ 76, 83, 68 ], [ 76, 84, 55 ], [ 76, 85, 15 ], [ 76, 86, 33 ], [ 76, 87, 15 ], [ 76, 88, 33 ], [ 76, 89, 55 ], [ 76, 90, 107 ], [ 76, 91, 12 ], [ 76, 92, 42 ], [ 76, 93, 12 ], [ 76, 94, 42 ], [ 76, 95, 107 ], [ 76, 96, 104 ], [ 76, 97, 42 ], [ 76, 98, 7 ], [ 76, 99, 42 ], [ 76, 100, 7 ], [ 76, 101, 104 ], [ 76, 102, 45 ], [ 76, 103, 107 ], [ 76, 104, 63 ], [ 76, 105, 107 ], [ 76, 106, 63 ], [ 76, 107, 45 ], [ 76, 108, 30 ], [ 76, 109, 12 ], [ 76, 110, 56 ], [ 76, 111, 12 ], [ 76, 112, 56 ], [ 76, 113, 30 ], [ 76, 114, 112 ], [ 76, 115, 15 ], [ 76, 116, 67 ], [ 76, 117, 15 ], [ 76, 118, 67 ], [ 76, 119, 112 ], [ 77, 0, 0 ], [ 77, 1, 7 ], [ 77, 2, 3 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 5, 19 ], [ 77, 6, 111 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 9, 108 ], [ 77, 10, 119 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 13, 55 ], [ 77, 14, 60 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 17, 56 ], [ 77, 18, 46 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 21, 45 ], [ 77, 22, 38 ], [ 77, 23, 33 ], [ 77, 24, 38 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 27, 119 ], [ 77, 28, 60 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 31, 45 ], [ 77, 32, 19 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 35, 46 ], [ 77, 36, 108 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 39, 111 ], [ 77, 40, 7 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 43, 56 ], [ 77, 44, 3 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 47, 55 ], [ 77, 48, 33 ], [ 77, 49, 56 ], [ 77, 50, 46 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 53, 3 ], [ 77, 54, 55 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 57, 60 ], [ 77, 58, 108 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 61, 38 ], [ 77, 62, 119 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 65, 45 ], [ 77, 66, 19 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 69, 7 ], [ 77, 70, 111 ], [ 77, 71, 68 ], [ 77, 72, 45 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 75, 19 ], [ 77, 76, 111 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 79, 46 ], [ 77, 80, 56 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 83, 38 ], [ 77, 84, 7 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 87, 3 ], [ 77, 88, 55 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 91, 119 ], [ 77, 92, 60 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 95, 108 ], [ 77, 96, 68 ], [ 77, 97, 108 ], [ 77, 98, 55 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 101, 7 ], [ 77, 102, 111 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 105, 119 ], [ 77, 106, 45 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 109, 60 ], [ 77, 110, 38 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 113, 56 ], [ 77, 114, 3 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 117, 19 ], [ 77, 118, 46 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 1, 4 ], [ 78, 2, 56 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 5, 103 ], [ 78, 6, 30 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 9, 55 ], [ 78, 10, 115 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 13, 42 ], [ 78, 14, 12 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 17, 107 ], [ 78, 18, 26 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 21, 0 ], [ 78, 22, 60 ], [ 78, 23, 56 ], [ 78, 24, 74 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 27, 85 ], [ 78, 28, 93 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 31, 115 ], [ 78, 32, 30 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 35, 90 ], [ 78, 36, 12 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 39, 77 ], [ 78, 40, 42 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 43, 60 ], [ 78, 44, 26 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 47, 86 ], [ 78, 48, 86 ], [ 78, 49, 93 ], [ 78, 50, 74 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 53, 82 ], [ 78, 54, 56 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 57, 81 ], [ 78, 58, 4 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 61, 107 ], [ 78, 62, 12 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 65, 77 ], [ 78, 66, 26 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 69, 86 ], [ 78, 70, 0 ], [ 78, 71, 74 ], [ 78, 72, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 75, 82 ], [ 78, 76, 85 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 79, 103 ], [ 78, 80, 56 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 83, 81 ], [ 78, 84, 30 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 87, 90 ], [ 78, 88, 55 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 91, 0 ], [ 78, 92, 60 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 95, 86 ], [ 78, 96, 77 ], [ 78, 97, 85 ], [ 78, 98, 93 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 101, 82 ], [ 78, 102, 4 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 105, 81 ], [ 78, 106, 103 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 109, 55 ], [ 78, 110, 115 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 113, 90 ], [ 78, 114, 42 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 117, 77 ], [ 78, 118, 107 ], [ 78, 119, 93 ], [ 79, 0, 0 ], [ 79, 1, 4 ], [ 79, 2, 107 ], [ 79, 3, 104 ], [ 79, 4, 56 ], [ 79, 5, 59 ], [ 79, 6, 30 ], [ 79, 7, 42 ], [ 79, 8, 115 ], [ 79, 9, 108 ], [ 79, 10, 60 ], [ 79, 11, 67 ], [ 79, 12, 33 ], [ 79, 13, 25 ], [ 79, 14, 15 ], [ 79, 15, 7 ], [ 79, 16, 63 ], [ 79, 17, 51 ], [ 79, 18, 46 ], [ 79, 19, 29 ], [ 79, 20, 16 ], [ 79, 21, 19 ], [ 79, 22, 116 ], [ 79, 23, 100 ], [ 79, 24, 74 ], [ 79, 25, 77 ], [ 79, 26, 93 ], [ 79, 27, 94 ], [ 79, 28, 86 ], [ 79, 29, 89 ], [ 79, 30, 60 ], [ 79, 31, 115 ], [ 79, 32, 42 ], [ 79, 33, 67 ], [ 79, 34, 30 ], [ 79, 35, 108 ], [ 79, 36, 63 ], [ 79, 37, 15 ], [ 79, 38, 25 ], [ 79, 39, 51 ], [ 79, 40, 33 ], [ 79, 41, 7 ], [ 79, 42, 116 ], [ 79, 43, 16 ], [ 79, 44, 29 ], [ 79, 45, 100 ], [ 79, 46, 46 ], [ 79, 47, 19 ], [ 79, 48, 86 ], [ 79, 49, 93 ], [ 79, 50, 77 ], [ 79, 51, 89 ], [ 79, 52, 74 ], [ 79, 53, 94 ], [ 79, 54, 56 ], [ 79, 55, 107 ], [ 79, 56, 4 ], [ 79, 57, 59 ], [ 79, 58, 0 ], [ 79, 59, 104 ], [ 79, 60, 51 ], [ 79, 61, 33 ], [ 79, 62, 7 ], [ 79, 63, 63 ], [ 79, 64, 15 ], [ 79, 65, 25 ], [ 79, 66, 100 ], [ 79, 67, 46 ], [ 79, 68, 19 ], [ 79, 69, 116 ], [ 79, 70, 16 ], [ 79, 71, 29 ], [ 79, 72, 89 ], [ 79, 73, 74 ], [ 79, 74, 94 ], [ 79, 75, 86 ], [ 79, 76, 93 ], [ 79, 77, 77 ], [ 79, 78, 59 ], [ 79, 79, 0 ], [ 79, 80, 104 ], [ 79, 81, 56 ], [ 79, 82, 107 ], [ 79, 83, 4 ], [ 79, 84, 67 ], [ 79, 85, 30 ], [ 79, 86, 108 ], [ 79, 87, 60 ], [ 79, 88, 115 ], [ 79, 89, 42 ], [ 79, 90, 19 ], [ 79, 91, 29 ], [ 79, 92, 100 ], [ 79, 93, 16 ], [ 79, 94, 116 ], [ 79, 95, 46 ], [ 79, 96, 94 ], [ 79, 97, 77 ], [ 79, 98, 89 ], [ 79, 99, 93 ], [ 79, 100, 86 ], [ 79, 101, 74 ], [ 79, 102, 104 ], [ 79, 103, 4 ], [ 79, 104, 59 ], [ 79, 105, 107 ], [ 79, 106, 56 ], [ 79, 107, 0 ], [ 79, 108, 108 ], [ 79, 109, 42 ], [ 79, 110, 67 ], [ 79, 111, 115 ], [ 79, 112, 60 ], [ 79, 113, 30 ], [ 79, 114, 7 ], [ 79, 115, 25 ], [ 79, 116, 51 ], [ 79, 117, 15 ], [ 79, 118, 63 ], [ 79, 119, 33 ], [ 80, 0, 0 ], [ 80, 1, 104 ], [ 80, 2, 56 ], [ 80, 3, 104 ], [ 80, 4, 56 ], [ 80, 5, 0 ], [ 80, 6, 0 ], [ 80, 7, 104 ], [ 80, 8, 38 ], [ 80, 9, 104 ], [ 80, 10, 38 ], [ 80, 11, 0 ], [ 80, 12, 56 ], [ 80, 13, 104 ], [ 80, 14, 38 ], [ 80, 15, 104 ], [ 80, 16, 38 ], [ 80, 17, 56 ], [ 80, 18, 56 ], [ 80, 19, 0 ], [ 80, 20, 38 ], [ 80, 21, 0 ], [ 80, 22, 38 ], [ 80, 23, 56 ], [ 80, 24, 74 ], [ 80, 25, 94 ], [ 80, 26, 86 ], [ 80, 27, 94 ], [ 80, 28, 86 ], [ 80, 29, 74 ], [ 80, 30, 74 ], [ 80, 31, 94 ], [ 80, 32, 38 ], [ 80, 33, 94 ], [ 80, 34, 38 ], [ 80, 35, 74 ], [ 80, 36, 86 ], [ 80, 37, 94 ], [ 80, 38, 38 ], [ 80, 39, 94 ], [ 80, 40, 38 ], [ 80, 41, 86 ], [ 80, 42, 86 ], [ 80, 43, 74 ], [ 80, 44, 38 ], [ 80, 45, 74 ], [ 80, 46, 38 ], [ 80, 47, 86 ], [ 80, 48, 78 ], [ 80, 49, 82 ], [ 80, 50, 86 ], [ 80, 51, 82 ], [ 80, 52, 86 ], [ 80, 53, 78 ], [ 80, 54, 78 ], [ 80, 55, 82 ], [ 80, 56, 56 ], [ 80, 57, 82 ], [ 80, 58, 56 ], [ 80, 59, 78 ], [ 80, 60, 86 ], [ 80, 61, 82 ], [ 80, 62, 56 ], [ 80, 63, 82 ], [ 80, 64, 56 ], [ 80, 65, 86 ], [ 80, 66, 86 ], [ 80, 67, 78 ], [ 80, 68, 56 ], [ 80, 69, 78 ], [ 80, 70, 56 ], [ 80, 71, 86 ], [ 80, 72, 78 ], [ 80, 73, 81 ], [ 80, 74, 74 ], [ 80, 75, 81 ], [ 80, 76, 74 ], [ 80, 77, 78 ], [ 80, 78, 78 ], [ 80, 79, 81 ], [ 80, 80, 0 ], [ 80, 81, 81 ], [ 80, 82, 0 ], [ 80, 83, 78 ], [ 80, 84, 74 ], [ 80, 85, 81 ], [ 80, 86, 0 ], [ 80, 87, 81 ], [ 80, 88, 0 ], [ 80, 89, 74 ], [ 80, 90, 74 ], [ 80, 91, 78 ], [ 80, 92, 0 ], [ 80, 93, 78 ], [ 80, 94, 0 ], [ 80, 95, 74 ], [ 80, 96, 82 ], [ 80, 97, 81 ], [ 80, 98, 94 ], [ 80, 99, 81 ], [ 80, 100, 94 ], [ 80, 101, 82 ], [ 80, 102, 82 ], [ 80, 103, 81 ], [ 80, 104, 104 ], [ 80, 105, 81 ], [ 80, 106, 104 ], [ 80, 107, 82 ], [ 80, 108, 94 ], [ 80, 109, 81 ], [ 80, 110, 104 ], [ 80, 111, 81 ], [ 80, 112, 104 ], [ 80, 113, 94 ], [ 80, 114, 94 ], [ 80, 115, 82 ], [ 80, 116, 104 ], [ 80, 117, 82 ], [ 80, 118, 104 ], [ 80, 119, 94 ], [ 81, 0, 0 ], [ 81, 1, 104 ], [ 81, 2, 3 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 5, 59 ], [ 81, 6, 0 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 9, 25 ], [ 81, 10, 119 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 13, 55 ], [ 81, 14, 15 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 17, 33 ], [ 81, 18, 107 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 21, 45 ], [ 81, 22, 63 ], [ 81, 23, 33 ], [ 81, 24, 74 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 27, 85 ], [ 81, 28, 93 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 31, 94 ], [ 81, 32, 25 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 35, 119 ], [ 81, 36, 73 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 39, 15 ], [ 81, 40, 33 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 43, 89 ], [ 81, 44, 45 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 47, 63 ], [ 81, 48, 78 ], [ 81, 49, 82 ], [ 81, 50, 85 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 53, 93 ], [ 81, 54, 78 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 57, 3 ], [ 81, 58, 59 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 61, 73 ], [ 81, 62, 55 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 65, 33 ], [ 81, 66, 89 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 69, 107 ], [ 81, 70, 63 ], [ 81, 71, 33 ], [ 81, 72, 82 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 75, 74 ], [ 81, 76, 93 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 79, 78 ], [ 81, 80, 104 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 83, 59 ], [ 81, 84, 94 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 87, 0 ], [ 81, 88, 119 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 91, 89 ], [ 81, 92, 107 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 95, 45 ], [ 81, 96, 78 ], [ 81, 97, 82 ], [ 81, 98, 74 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 101, 85 ], [ 81, 102, 78 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 105, 104 ], [ 81, 106, 3 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 109, 94 ], [ 81, 110, 0 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 113, 25 ], [ 81, 114, 73 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 117, 55 ], [ 81, 118, 15 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 1, 55 ], [ 82, 2, 107 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 5, 0 ], [ 82, 6, 11 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 9, 52 ], [ 82, 10, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 13, 68 ], [ 82, 14, 38 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 17, 112 ], [ 82, 18, 100 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 21, 19 ], [ 82, 22, 37 ], [ 82, 23, 100 ], [ 82, 24, 74 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 27, 85 ], [ 82, 28, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 31, 11 ], [ 82, 32, 41 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 35, 52 ], [ 82, 36, 68 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 39, 112 ], [ 82, 40, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 43, 100 ], [ 82, 44, 37 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 47, 19 ], [ 82, 48, 85 ], [ 82, 49, 74 ], [ 82, 50, 93 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 53, 85 ], [ 82, 54, 55 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 57, 0 ], [ 82, 58, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 61, 38 ], [ 82, 62, 112 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 65, 68 ], [ 82, 66, 19 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 69, 37 ], [ 82, 70, 100 ], [ 82, 71, 19 ], [ 82, 72, 85 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 75, 93 ], [ 82, 76, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 79, 107 ], [ 82, 80, 0 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 83, 55 ], [ 82, 84, 52 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 87, 41 ], [ 82, 88, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 91, 37 ], [ 82, 92, 19 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 95, 100 ], [ 82, 96, 74 ], [ 82, 97, 93 ], [ 82, 98, 85 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 101, 74 ], [ 82, 102, 0 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 105, 107 ], [ 82, 106, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 109, 41 ], [ 82, 110, 52 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 113, 11 ], [ 82, 114, 112 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 117, 38 ], [ 82, 118, 68 ], [ 82, 119, 112 ], [ 83, 0, 0 ], [ 83, 1, 55 ], [ 83, 2, 3 ], [ 83, 3, 104 ], [ 83, 4, 56 ], [ 83, 5, 103 ], [ 83, 6, 11 ], [ 83, 7, 52 ], [ 83, 8, 16 ], [ 83, 9, 34 ], [ 83, 10, 64 ], [ 83, 11, 29 ], [ 83, 12, 23 ], [ 83, 13, 96 ], [ 83, 14, 12 ], [ 83, 15, 42 ], [ 83, 16, 115 ], [ 83, 17, 26 ], [ 83, 18, 71 ], [ 83, 19, 111 ], [ 83, 20, 63 ], [ 83, 21, 45 ], [ 83, 22, 119 ], [ 83, 23, 33 ], [ 83, 24, 74 ], [ 83, 25, 85 ], [ 83, 26, 73 ], [ 83, 27, 94 ], [ 83, 28, 86 ], [ 83, 29, 90 ], [ 83, 30, 52 ], [ 83, 31, 11 ], [ 83, 32, 29 ], [ 83, 33, 64 ], [ 83, 34, 34 ], [ 83, 35, 16 ], [ 83, 36, 96 ], [ 83, 37, 23 ], [ 83, 38, 26 ], [ 83, 39, 115 ], [ 83, 40, 42 ], [ 83, 41, 12 ], [ 83, 42, 111 ], [ 83, 43, 71 ], [ 83, 44, 33 ], [ 83, 45, 119 ], [ 83, 46, 45 ], [ 83, 47, 63 ], [ 83, 48, 85 ], [ 83, 49, 74 ], [ 83, 50, 90 ], [ 83, 51, 86 ], [ 83, 52, 94 ], [ 83, 53, 73 ], [ 83, 54, 55 ], [ 83, 55, 0 ], [ 83, 56, 103 ], [ 83, 57, 56 ], [ 83, 58, 104 ], [ 83, 59, 3 ], [ 83, 60, 42 ], [ 83, 61, 12 ], [ 83, 62, 115 ], [ 83, 63, 26 ], [ 83, 64, 96 ], [ 83, 65, 23 ], [ 83, 66, 45 ], [ 83, 67, 63 ], [ 83, 68, 119 ], [ 83, 69, 33 ], [ 83, 70, 111 ], [ 83, 71, 71 ], [ 83, 72, 94 ], [ 83, 73, 73 ], [ 83, 74, 86 ], [ 83, 75, 90 ], [ 83, 76, 85 ], [ 83, 77, 74 ], [ 83, 78, 104 ], [ 83, 79, 3 ], [ 83, 80, 56 ], [ 83, 81, 103 ], [ 83, 82, 55 ], [ 83, 83, 0 ], [ 83, 84, 34 ], [ 83, 85, 16 ], [ 83, 86, 64 ], [ 83, 87, 29 ], [ 83, 88, 52 ], [ 83, 89, 11 ], [ 83, 90, 33 ], [ 83, 91, 119 ], [ 83, 92, 63 ], [ 83, 93, 45 ], [ 83, 94, 71 ], [ 83, 95, 111 ], [ 83, 96, 90 ], [ 83, 97, 86 ], [ 83, 98, 73 ], [ 83, 99, 94 ], [ 83, 100, 74 ], [ 83, 101, 85 ], [ 83, 102, 103 ], [ 83, 103, 56 ], [ 83, 104, 3 ], [ 83, 105, 104 ], [ 83, 106, 0 ], [ 83, 107, 55 ], [ 83, 108, 29 ], [ 83, 109, 64 ], [ 83, 110, 16 ], [ 83, 111, 34 ], [ 83, 112, 11 ], [ 83, 113, 52 ], [ 83, 114, 26 ], [ 83, 115, 115 ], [ 83, 116, 12 ], [ 83, 117, 42 ], [ 83, 118, 23 ], [ 83, 119, 96 ], [ 84, 0, 0 ], [ 84, 1, 20 ], [ 84, 2, 26 ], [ 84, 3, 42 ], [ 84, 4, 100 ], [ 84, 5, 103 ], [ 84, 6, 48 ], [ 84, 7, 52 ], [ 84, 8, 38 ], [ 84, 9, 34 ], [ 84, 10, 119 ], [ 84, 11, 111 ], [ 84, 12, 56 ], [ 84, 13, 55 ], [ 84, 14, 12 ], [ 84, 15, 7 ], [ 84, 16, 115 ], [ 84, 17, 112 ], [ 84, 18, 71 ], [ 84, 19, 67 ], [ 84, 20, 16 ], [ 84, 21, 11 ], [ 84, 22, 37 ], [ 84, 23, 33 ], [ 84, 24, 26 ], [ 84, 25, 100 ], [ 84, 26, 0 ], [ 84, 27, 103 ], [ 84, 28, 20 ], [ 84, 29, 42 ], [ 84, 30, 12 ], [ 84, 31, 16 ], [ 84, 32, 56 ], [ 84, 33, 82 ], [ 84, 34, 71 ], [ 84, 35, 93 ], [ 84, 36, 38 ], [ 84, 37, 37 ], [ 84, 38, 48 ], [ 84, 39, 73 ], [ 84, 40, 67 ], [ 84, 41, 94 ], [ 84, 42, 119 ], [ 84, 43, 115 ], [ 84, 44, 52 ], [ 84, 45, 77 ], [ 84, 46, 55 ], [ 84, 47, 81 ], [ 84, 48, 38 ], [ 84, 49, 119 ], [ 84, 50, 48 ], [ 84, 51, 111 ], [ 84, 52, 52 ], [ 84, 53, 34 ], [ 84, 54, 56 ], [ 84, 55, 71 ], [ 84, 56, 12 ], [ 84, 57, 93 ], [ 84, 58, 16 ], [ 84, 59, 82 ], [ 84, 60, 26 ], [ 84, 61, 33 ], [ 84, 62, 0 ], [ 84, 63, 81 ], [ 84, 64, 11 ], [ 84, 65, 77 ], [ 84, 66, 100 ], [ 84, 67, 112 ], [ 84, 68, 20 ], [ 84, 69, 94 ], [ 84, 70, 7 ], [ 84, 71, 73 ], [ 84, 72, 12 ], [ 84, 73, 115 ], [ 84, 74, 56 ], [ 84, 75, 112 ], [ 84, 76, 55 ], [ 84, 77, 7 ], [ 84, 78, 48 ], [ 84, 79, 67 ], [ 84, 80, 38 ], [ 84, 81, 94 ], [ 84, 82, 37 ], [ 84, 83, 73 ], [ 84, 84, 0 ], [ 84, 85, 11 ], [ 84, 86, 26 ], [ 84, 87, 77 ], [ 84, 88, 33 ], [ 84, 89, 81 ], [ 84, 90, 103 ], [ 84, 91, 111 ], [ 84, 92, 42 ], [ 84, 93, 93 ], [ 84, 94, 34 ], [ 84, 95, 82 ], [ 84, 96, 16 ], [ 84, 97, 37 ], [ 84, 98, 71 ], [ 84, 99, 33 ], [ 84, 100, 67 ], [ 84, 101, 11 ], [ 84, 102, 52 ], [ 84, 103, 55 ], [ 84, 104, 119 ], [ 84, 105, 81 ], [ 84, 106, 115 ], [ 84, 107, 77 ], [ 84, 108, 20 ], [ 84, 109, 7 ], [ 84, 110, 100 ], [ 84, 111, 73 ], [ 84, 112, 112 ], [ 84, 113, 94 ], [ 84, 114, 42 ], [ 84, 115, 34 ], [ 84, 116, 103 ], [ 84, 117, 82 ], [ 84, 118, 111 ], [ 84, 119, 93 ], [ 85, 0, 0 ], [ 85, 1, 20 ], [ 85, 2, 107 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 5, 29 ], [ 85, 6, 48 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 9, 104 ], [ 85, 10, 41 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 13, 68 ], [ 85, 14, 16 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 17, 26 ], [ 85, 18, 56 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 21, 19 ], [ 85, 22, 119 ], [ 85, 23, 100 ], [ 85, 24, 26 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 27, 19 ], [ 85, 28, 104 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 31, 16 ], [ 85, 32, 68 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 35, 107 ], [ 85, 36, 119 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 39, 29 ], [ 85, 40, 56 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 43, 41 ], [ 85, 44, 48 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 47, 20 ], [ 85, 48, 38 ], [ 85, 49, 119 ], [ 85, 50, 29 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 53, 68 ], [ 85, 54, 56 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 57, 41 ], [ 85, 58, 19 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 61, 107 ], [ 85, 62, 20 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 65, 48 ], [ 85, 66, 26 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 69, 104 ], [ 85, 70, 16 ], [ 85, 71, 52 ], [ 85, 72, 41 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 75, 56 ], [ 85, 76, 20 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 79, 48 ], [ 85, 80, 104 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 83, 16 ], [ 85, 84, 19 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 87, 26 ], [ 85, 88, 119 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 91, 29 ], [ 85, 92, 107 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 95, 68 ], [ 85, 96, 116 ], [ 85, 97, 16 ], [ 85, 98, 107 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 101, 48 ], [ 85, 102, 68 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 105, 119 ], [ 85, 106, 26 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 109, 20 ], [ 85, 110, 29 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 113, 56 ], [ 85, 114, 104 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 117, 19 ], [ 85, 118, 41 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 1, 104 ], [ 86, 2, 26 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 5, 19 ], [ 86, 6, 0 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 9, 108 ], [ 86, 10, 64 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 13, 96 ], [ 86, 14, 60 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 17, 33 ], [ 86, 18, 46 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 21, 11 ], [ 86, 22, 63 ], [ 86, 23, 33 ], [ 86, 24, 26 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 27, 19 ], [ 86, 28, 104 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 31, 46 ], [ 86, 32, 60 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 35, 77 ], [ 86, 36, 0 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 39, 90 ], [ 86, 40, 63 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 43, 96 ], [ 86, 44, 64 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 47, 81 ], [ 86, 48, 60 ], [ 86, 49, 64 ], [ 86, 50, 0 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 53, 108 ], [ 86, 54, 60 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 57, 77 ], [ 86, 58, 46 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 61, 11 ], [ 86, 62, 26 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 65, 81 ], [ 86, 66, 104 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 69, 90 ], [ 86, 70, 33 ], [ 86, 71, 81 ], [ 86, 72, 60 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 75, 33 ], [ 86, 76, 96 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 79, 63 ], [ 86, 80, 0 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 83, 90 ], [ 86, 84, 26 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 87, 81 ], [ 86, 88, 11 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 91, 108 ], [ 86, 92, 19 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 95, 77 ], [ 86, 96, 64 ], [ 86, 97, 63 ], [ 86, 98, 46 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 101, 11 ], [ 86, 102, 64 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 105, 81 ], [ 86, 106, 96 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 109, 33 ], [ 86, 110, 104 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 113, 90 ], [ 86, 114, 19 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 117, 77 ], [ 86, 118, 108 ], [ 86, 119, 90 ], [ 87, 0, 0 ], [ 87, 1, 104 ], [ 87, 2, 23 ], [ 87, 3, 42 ], [ 87, 4, 100 ], [ 87, 5, 29 ], [ 87, 6, 0 ], [ 87, 7, 104 ], [ 87, 8, 16 ], [ 87, 9, 52 ], [ 87, 10, 115 ], [ 87, 11, 67 ], [ 87, 12, 23 ], [ 87, 13, 42 ], [ 87, 14, 16 ], [ 87, 15, 52 ], [ 87, 16, 38 ], [ 87, 17, 56 ], [ 87, 18, 100 ], [ 87, 19, 29 ], [ 87, 20, 115 ], [ 87, 21, 67 ], [ 87, 22, 38 ], [ 87, 23, 56 ], [ 87, 24, 26 ], [ 87, 25, 46 ], [ 87, 26, 99 ], [ 87, 27, 103 ], [ 87, 28, 20 ], [ 87, 29, 4 ], [ 87, 30, 26 ], [ 87, 31, 46 ], [ 87, 32, 52 ], [ 87, 33, 16 ], [ 87, 34, 67 ], [ 87, 35, 115 ], [ 87, 36, 99 ], [ 87, 37, 103 ], [ 87, 38, 52 ], [ 87, 39, 16 ], [ 87, 40, 56 ], [ 87, 41, 38 ], [ 87, 42, 20 ], [ 87, 43, 4 ], [ 87, 44, 67 ], [ 87, 45, 115 ], [ 87, 46, 56 ], [ 87, 47, 38 ], [ 87, 48, 60 ], [ 87, 49, 64 ], [ 87, 50, 103 ], [ 87, 51, 99 ], [ 87, 52, 4 ], [ 87, 53, 20 ], [ 87, 54, 60 ], [ 87, 55, 64 ], [ 87, 56, 42 ], [ 87, 57, 23 ], [ 87, 58, 29 ], [ 87, 59, 100 ], [ 87, 60, 103 ], [ 87, 61, 99 ], [ 87, 62, 42 ], [ 87, 63, 23 ], [ 87, 64, 38 ], [ 87, 65, 56 ], [ 87, 66, 4 ], [ 87, 67, 20 ], [ 87, 68, 29 ], [ 87, 69, 100 ], [ 87, 70, 38 ], [ 87, 71, 56 ], [ 87, 72, 64 ], [ 87, 73, 60 ], [ 87, 74, 46 ], [ 87, 75, 26 ], [ 87, 76, 20 ], [ 87, 77, 4 ], [ 87, 78, 64 ], [ 87, 79, 60 ], [ 87, 80, 104 ], [ 87, 81, 0 ], [ 87, 82, 100 ], [ 87, 83, 29 ], [ 87, 84, 46 ], [ 87, 85, 26 ], [ 87, 86, 104 ], [ 87, 87, 0 ], [ 87, 88, 115 ], [ 87, 89, 67 ], [ 87, 90, 20 ], [ 87, 91, 4 ], [ 87, 92, 100 ], [ 87, 93, 29 ], [ 87, 94, 115 ], [ 87, 95, 67 ], [ 87, 96, 60 ], [ 87, 97, 64 ], [ 87, 98, 26 ], [ 87, 99, 46 ], [ 87, 100, 99 ], [ 87, 101, 103 ], [ 87, 102, 60 ], [ 87, 103, 64 ], [ 87, 104, 0 ], [ 87, 105, 104 ], [ 87, 106, 23 ], [ 87, 107, 42 ], [ 87, 108, 26 ], [ 87, 109, 46 ], [ 87, 110, 0 ], [ 87, 111, 104 ], [ 87, 112, 16 ], [ 87, 113, 52 ], [ 87, 114, 99 ], [ 87, 115, 103 ], [ 87, 116, 23 ], [ 87, 117, 42 ], [ 87, 118, 16 ], [ 87, 119, 52 ], [ 88, 0, 0 ], [ 88, 1, 25 ], [ 88, 2, 107 ], [ 88, 3, 42 ], [ 88, 4, 100 ], [ 88, 5, 19 ], [ 88, 6, 19 ], [ 88, 7, 42 ], [ 88, 8, 63 ], [ 88, 9, 25 ], [ 88, 10, 60 ], [ 88, 11, 0 ], [ 88, 12, 100 ], [ 88, 13, 25 ], [ 88, 14, 60 ], [ 88, 15, 42 ], [ 88, 16, 63 ], [ 88, 17, 107 ], [ 88, 18, 107 ], [ 88, 19, 0 ], [ 88, 20, 63 ], [ 88, 21, 19 ], [ 88, 22, 60 ], [ 88, 23, 100 ], [ 88, 24, 26 ], [ 88, 25, 3 ], [ 88, 26, 45 ], [ 88, 27, 103 ], [ 88, 28, 20 ], [ 88, 29, 96 ], [ 88, 30, 96 ], [ 88, 31, 103 ], [ 88, 32, 63 ], [ 88, 33, 3 ], [ 88, 34, 60 ], [ 88, 35, 26 ], [ 88, 36, 20 ], [ 88, 37, 3 ], [ 88, 38, 60 ], [ 88, 39, 103 ], [ 88, 40, 63 ], [ 88, 41, 45 ], [ 88, 42, 45 ], [ 88, 43, 26 ], [ 88, 44, 63 ], [ 88, 45, 96 ], [ 88, 46, 60 ], [ 88, 47, 20 ], [ 88, 48, 37 ], [ 88, 49, 12 ], [ 88, 50, 45 ], [ 88, 51, 48 ], [ 88, 52, 20 ], [ 88, 53, 55 ], [ 88, 54, 55 ], [ 88, 55, 48 ], [ 88, 56, 107 ], [ 88, 57, 12 ], [ 88, 58, 100 ], [ 88, 59, 37 ], [ 88, 60, 20 ], [ 88, 61, 12 ], [ 88, 62, 100 ], [ 88, 63, 48 ], [ 88, 64, 107 ], [ 88, 65, 45 ], [ 88, 66, 45 ], [ 88, 67, 37 ], [ 88, 68, 107 ], [ 88, 69, 55 ], [ 88, 70, 100 ], [ 88, 71, 20 ], [ 88, 72, 37 ], [ 88, 73, 119 ], [ 88, 74, 26 ], [ 88, 75, 71 ], [ 88, 76, 96 ], [ 88, 77, 55 ], [ 88, 78, 55 ], [ 88, 79, 71 ], [ 88, 80, 0 ], [ 88, 81, 119 ], [ 88, 82, 19 ], [ 88, 83, 37 ], [ 88, 84, 96 ], [ 88, 85, 119 ], [ 88, 86, 19 ], [ 88, 87, 71 ], [ 88, 88, 0 ], [ 88, 89, 26 ], [ 88, 90, 26 ], [ 88, 91, 37 ], [ 88, 92, 0 ], [ 88, 93, 55 ], [ 88, 94, 19 ], [ 88, 95, 96 ], [ 88, 96, 12 ], [ 88, 97, 119 ], [ 88, 98, 3 ], [ 88, 99, 71 ], [ 88, 100, 103 ], [ 88, 101, 48 ], [ 88, 102, 48 ], [ 88, 103, 71 ], [ 88, 104, 25 ], [ 88, 105, 119 ], [ 88, 106, 42 ], [ 88, 107, 12 ], [ 88, 108, 103 ], [ 88, 109, 119 ], [ 88, 110, 42 ], [ 88, 111, 71 ], [ 88, 112, 25 ], [ 88, 113, 3 ], [ 88, 114, 3 ], [ 88, 115, 12 ], [ 88, 116, 25 ], [ 88, 117, 48 ], [ 88, 118, 42 ], [ 88, 119, 103 ], [ 89, 0, 0 ], [ 89, 1, 25 ], [ 89, 2, 23 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 5, 103 ], [ 89, 6, 19 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 9, 55 ], [ 89, 10, 38 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 13, 104 ], [ 89, 14, 12 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 17, 51 ], [ 89, 18, 26 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 21, 67 ], [ 89, 22, 116 ], [ 89, 23, 56 ], [ 89, 24, 26 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 27, 19 ], [ 89, 28, 104 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 31, 103 ], [ 89, 32, 51 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 35, 12 ], [ 89, 36, 25 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 39, 116 ], [ 89, 40, 67 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 43, 23 ], [ 89, 44, 55 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 47, 38 ], [ 89, 48, 37 ], [ 89, 49, 12 ], [ 89, 50, 67 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 53, 25 ], [ 89, 54, 55 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 57, 26 ], [ 89, 58, 116 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 61, 38 ], [ 89, 62, 103 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 65, 23 ], [ 89, 66, 19 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 69, 51 ], [ 89, 70, 104 ], [ 89, 71, 46 ], [ 89, 72, 116 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 75, 23 ], [ 89, 76, 55 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 79, 51 ], [ 89, 80, 38 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 83, 19 ], [ 89, 84, 104 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 87, 67 ], [ 89, 88, 26 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 91, 12 ], [ 89, 92, 25 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 95, 103 ], [ 89, 96, 115 ], [ 89, 97, 38 ], [ 89, 98, 51 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 101, 103 ], [ 89, 102, 67 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 105, 104 ], [ 89, 106, 12 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 109, 116 ], [ 89, 110, 23 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 113, 25 ], [ 89, 114, 26 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 117, 55 ], [ 89, 118, 19 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 1, 7 ], [ 90, 2, 26 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 5, 59 ], [ 90, 6, 111 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 9, 25 ], [ 90, 10, 64 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 13, 96 ], [ 90, 14, 15 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 17, 56 ], [ 90, 18, 107 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 21, 11 ], [ 90, 22, 38 ], [ 90, 23, 33 ], [ 90, 24, 25 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 27, 56 ], [ 90, 28, 11 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 31, 38 ], [ 90, 32, 107 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 35, 7 ], [ 90, 36, 64 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 39, 26 ], [ 90, 40, 111 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 43, 15 ], [ 90, 44, 96 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 47, 59 ], [ 90, 48, 34 ], [ 90, 49, 59 ], [ 90, 50, 96 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 53, 38 ], [ 90, 54, 56 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 57, 111 ], [ 90, 58, 15 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 61, 107 ], [ 90, 62, 11 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 65, 25 ], [ 90, 66, 26 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 69, 64 ], [ 90, 70, 7 ], [ 90, 71, 48 ], [ 90, 72, 7 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 75, 64 ], [ 90, 76, 107 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 79, 11 ], [ 90, 80, 38 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 83, 96 ], [ 90, 84, 59 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 87, 15 ], [ 90, 88, 26 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 91, 111 ], [ 90, 92, 25 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 95, 56 ], [ 90, 96, 0 ], [ 90, 97, 26 ], [ 90, 98, 111 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 101, 15 ], [ 90, 102, 25 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 105, 107 ], [ 90, 106, 64 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 109, 96 ], [ 90, 110, 56 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 113, 11 ], [ 90, 114, 7 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 117, 38 ], [ 90, 118, 59 ], [ 90, 119, 33 ], [ 91, 0, 0 ], [ 91, 1, 7 ], [ 91, 2, 56 ], [ 91, 3, 52 ], [ 91, 4, 33 ], [ 91, 5, 29 ], [ 91, 6, 111 ], [ 91, 7, 104 ], [ 91, 8, 63 ], [ 91, 9, 52 ], [ 91, 10, 38 ], [ 91, 11, 29 ], [ 91, 12, 100 ], [ 91, 13, 104 ], [ 91, 14, 16 ], [ 91, 15, 7 ], [ 91, 16, 38 ], [ 91, 17, 33 ], [ 91, 18, 100 ], [ 91, 19, 111 ], [ 91, 20, 16 ], [ 91, 21, 0 ], [ 91, 22, 63 ], [ 91, 23, 56 ], [ 91, 24, 25 ], [ 91, 25, 48 ], [ 91, 26, 34 ], [ 91, 27, 8 ], [ 91, 28, 59 ], [ 91, 29, 3 ], [ 91, 30, 63 ], [ 91, 31, 38 ], [ 91, 32, 111 ], [ 91, 33, 8 ], [ 91, 34, 104 ], [ 91, 35, 3 ], [ 91, 36, 16 ], [ 91, 37, 38 ], [ 91, 38, 100 ], [ 91, 39, 48 ], [ 91, 40, 104 ], [ 91, 41, 59 ], [ 91, 42, 16 ], [ 91, 43, 63 ], [ 91, 44, 100 ], [ 91, 45, 25 ], [ 91, 46, 111 ], [ 91, 47, 34 ], [ 91, 48, 34 ], [ 91, 49, 59 ], [ 91, 50, 25 ], [ 91, 51, 119 ], [ 91, 52, 48 ], [ 91, 53, 116 ], [ 91, 54, 56 ], [ 91, 55, 33 ], [ 91, 56, 0 ], [ 91, 57, 119 ], [ 91, 58, 7 ], [ 91, 59, 116 ], [ 91, 60, 100 ], [ 91, 61, 33 ], [ 91, 62, 16 ], [ 91, 63, 59 ], [ 91, 64, 7 ], [ 91, 65, 48 ], [ 91, 66, 100 ], [ 91, 67, 56 ], [ 91, 68, 16 ], [ 91, 69, 34 ], [ 91, 70, 0 ], [ 91, 71, 25 ], [ 91, 72, 25 ], [ 91, 73, 3 ], [ 91, 74, 34 ], [ 91, 75, 116 ], [ 91, 76, 8 ], [ 91, 77, 119 ], [ 91, 78, 0 ], [ 91, 79, 29 ], [ 91, 80, 56 ], [ 91, 81, 116 ], [ 91, 82, 52 ], [ 91, 83, 119 ], [ 91, 84, 111 ], [ 91, 85, 29 ], [ 91, 86, 63 ], [ 91, 87, 3 ], [ 91, 88, 52 ], [ 91, 89, 8 ], [ 91, 90, 111 ], [ 91, 91, 0 ], [ 91, 92, 63 ], [ 91, 93, 25 ], [ 91, 94, 56 ], [ 91, 95, 34 ], [ 91, 96, 48 ], [ 91, 97, 8 ], [ 91, 98, 59 ], [ 91, 99, 119 ], [ 91, 100, 3 ], [ 91, 101, 116 ], [ 91, 102, 7 ], [ 91, 103, 52 ], [ 91, 104, 33 ], [ 91, 105, 119 ], [ 91, 106, 29 ], [ 91, 107, 116 ], [ 91, 108, 104 ], [ 91, 109, 52 ], [ 91, 110, 38 ], [ 91, 111, 8 ], [ 91, 112, 29 ], [ 91, 113, 3 ], [ 91, 114, 104 ], [ 91, 115, 7 ], [ 91, 116, 38 ], [ 91, 117, 48 ], [ 91, 118, 33 ], [ 91, 119, 59 ], [ 92, 0, 0 ], [ 92, 1, 55 ], [ 92, 2, 26 ], [ 92, 3, 52 ], [ 92, 4, 33 ], [ 92, 5, 11 ], [ 92, 6, 11 ], [ 92, 7, 52 ], [ 92, 8, 115 ], [ 92, 9, 55 ], [ 92, 10, 119 ], [ 92, 11, 0 ], [ 92, 12, 33 ], [ 92, 13, 55 ], [ 92, 14, 119 ], [ 92, 15, 52 ], [ 92, 16, 115 ], [ 92, 17, 26 ], [ 92, 18, 26 ], [ 92, 19, 0 ], [ 92, 20, 115 ], [ 92, 21, 11 ], [ 92, 22, 119 ], [ 92, 23, 33 ], [ 92, 24, 25 ], [ 92, 25, 30 ], [ 92, 26, 4 ], [ 92, 27, 8 ], [ 92, 28, 59 ], [ 92, 29, 51 ], [ 92, 30, 51 ], [ 92, 31, 8 ], [ 92, 32, 115 ], [ 92, 33, 30 ], [ 92, 34, 119 ], [ 92, 35, 25 ], [ 92, 36, 59 ], [ 92, 37, 30 ], [ 92, 38, 119 ], [ 92, 39, 8 ], [ 92, 40, 115 ], [ 92, 41, 4 ], [ 92, 42, 4 ], [ 92, 43, 25 ], [ 92, 44, 115 ], [ 92, 45, 51 ], [ 92, 46, 119 ], [ 92, 47, 59 ], [ 92, 48, 108 ], [ 92, 49, 99 ], [ 92, 50, 4 ], [ 92, 51, 15 ], [ 92, 52, 59 ], [ 92, 53, 60 ], [ 92, 54, 60 ], [ 92, 55, 15 ], [ 92, 56, 26 ], [ 92, 57, 99 ], [ 92, 58, 33 ], [ 92, 59, 108 ], [ 92, 60, 59 ], [ 92, 61, 99 ], [ 92, 62, 33 ], [ 92, 63, 15 ], [ 92, 64, 26 ], [ 92, 65, 4 ], [ 92, 66, 4 ], [ 92, 67, 108 ], [ 92, 68, 26 ], [ 92, 69, 60 ], [ 92, 70, 33 ], [ 92, 71, 59 ], [ 92, 72, 108 ], [ 92, 73, 107 ], [ 92, 74, 25 ], [ 92, 75, 41 ], [ 92, 76, 51 ], [ 92, 77, 60 ], [ 92, 78, 60 ], [ 92, 79, 41 ], [ 92, 80, 0 ], [ 92, 81, 107 ], [ 92, 82, 11 ], [ 92, 83, 108 ], [ 92, 84, 51 ], [ 92, 85, 107 ], [ 92, 86, 11 ], [ 92, 87, 41 ], [ 92, 88, 0 ], [ 92, 89, 25 ], [ 92, 90, 25 ], [ 92, 91, 108 ], [ 92, 92, 0 ], [ 92, 93, 60 ], [ 92, 94, 11 ], [ 92, 95, 51 ], [ 92, 96, 99 ], [ 92, 97, 107 ], [ 92, 98, 30 ], [ 92, 99, 41 ], [ 92, 100, 8 ], [ 92, 101, 15 ], [ 92, 102, 15 ], [ 92, 103, 41 ], [ 92, 104, 55 ], [ 92, 105, 107 ], [ 92, 106, 52 ], [ 92, 107, 99 ], [ 92, 108, 8 ], [ 92, 109, 107 ], [ 92, 110, 52 ], [ 92, 111, 41 ], [ 92, 112, 55 ], [ 92, 113, 30 ], [ 92, 114, 30 ], [ 92, 115, 99 ], [ 92, 116, 55 ], [ 92, 117, 15 ], [ 92, 118, 52 ], [ 92, 119, 8 ], [ 93, 0, 0 ], [ 93, 1, 55 ], [ 93, 2, 8 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 5, 29 ], [ 93, 6, 11 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 9, 104 ], [ 93, 10, 60 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 13, 25 ], [ 93, 14, 16 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 17, 112 ], [ 93, 18, 56 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 21, 99 ], [ 93, 22, 37 ], [ 93, 23, 100 ], [ 93, 24, 25 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 27, 56 ], [ 93, 28, 11 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 31, 8 ], [ 93, 32, 99 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 35, 37 ], [ 93, 36, 29 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 39, 60 ], [ 93, 40, 104 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 43, 55 ], [ 93, 44, 112 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 47, 16 ], [ 93, 48, 108 ], [ 93, 49, 99 ], [ 93, 50, 55 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 53, 16 ], [ 93, 54, 60 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 57, 112 ], [ 93, 58, 25 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 61, 11 ], [ 93, 62, 37 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 65, 56 ], [ 93, 66, 104 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 69, 8 ], [ 93, 70, 29 ], [ 93, 71, 3 ], [ 93, 72, 104 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 75, 37 ], [ 93, 76, 8 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 79, 16 ], [ 93, 80, 56 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 83, 99 ], [ 93, 84, 112 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 87, 29 ], [ 93, 88, 55 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 91, 25 ], [ 93, 92, 60 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 95, 11 ], [ 93, 96, 103 ], [ 93, 97, 112 ], [ 93, 98, 29 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 101, 60 ], [ 93, 102, 37 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 105, 104 ], [ 93, 106, 11 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 109, 56 ], [ 93, 110, 16 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 113, 25 ], [ 93, 114, 99 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 117, 55 ], [ 93, 118, 8 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 1, 25 ], [ 94, 2, 56 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 5, 11 ], [ 94, 6, 19 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 9, 34 ], [ 94, 10, 115 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 13, 42 ], [ 94, 14, 119 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 17, 51 ], [ 94, 18, 71 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 21, 0 ], [ 94, 22, 116 ], [ 94, 23, 56 ], [ 94, 24, 25 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 27, 56 ], [ 94, 28, 11 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 31, 78 ], [ 94, 32, 116 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 35, 51 ], [ 94, 36, 89 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 39, 0 ], [ 94, 40, 115 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 43, 73 ], [ 94, 44, 119 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 47, 34 ], [ 94, 48, 42 ], [ 94, 49, 19 ], [ 94, 50, 34 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 53, 115 ], [ 94, 54, 78 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 57, 116 ], [ 94, 58, 51 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 61, 73 ], [ 94, 62, 71 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 65, 11 ], [ 94, 66, 89 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 69, 42 ], [ 94, 70, 56 ], [ 94, 71, 34 ], [ 94, 72, 42 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 75, 119 ], [ 94, 76, 51 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 79, 89 ], [ 94, 80, 0 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 83, 115 ], [ 94, 84, 73 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 87, 71 ], [ 94, 88, 11 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 91, 78 ], [ 94, 92, 19 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 95, 25 ], [ 94, 96, 19 ], [ 94, 97, 71 ], [ 94, 98, 0 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 101, 116 ], [ 94, 102, 73 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 105, 119 ], [ 94, 106, 34 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 109, 89 ], [ 94, 110, 42 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 113, 56 ], [ 94, 114, 78 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 117, 19 ], [ 94, 118, 25 ], [ 94, 119, 0 ], [ 95, 0, 0 ], [ 95, 1, 25 ], [ 95, 2, 8 ], [ 95, 3, 52 ], [ 95, 4, 33 ], [ 95, 5, 59 ], [ 95, 6, 19 ], [ 95, 7, 42 ], [ 95, 8, 16 ], [ 95, 9, 108 ], [ 95, 10, 41 ], [ 95, 11, 111 ], [ 95, 12, 23 ], [ 95, 13, 68 ], [ 95, 14, 15 ], [ 95, 15, 104 ], [ 95, 16, 63 ], [ 95, 17, 107 ], [ 95, 18, 46 ], [ 95, 19, 67 ], [ 95, 20, 38 ], [ 95, 21, 99 ], [ 95, 22, 60 ], [ 95, 23, 100 ], [ 95, 24, 25 ], [ 95, 25, 0 ], [ 95, 26, 52 ], [ 95, 27, 8 ], [ 95, 28, 59 ], [ 95, 29, 33 ], [ 95, 30, 73 ], [ 95, 31, 78 ], [ 95, 32, 100 ], [ 95, 33, 60 ], [ 95, 34, 107 ], [ 95, 35, 63 ], [ 95, 36, 77 ], [ 95, 37, 86 ], [ 95, 38, 99 ], [ 95, 39, 38 ], [ 95, 40, 111 ], [ 95, 41, 41 ], [ 95, 42, 82 ], [ 95, 43, 85 ], [ 95, 44, 104 ], [ 95, 45, 15 ], [ 95, 46, 108 ], [ 95, 47, 16 ], [ 95, 48, 42 ], [ 95, 49, 19 ], [ 95, 50, 108 ], [ 95, 51, 16 ], [ 95, 52, 111 ], [ 95, 53, 41 ], [ 95, 54, 78 ], [ 95, 55, 73 ], [ 95, 56, 60 ], [ 95, 57, 100 ], [ 95, 58, 63 ], [ 95, 59, 107 ], [ 95, 60, 85 ], [ 95, 61, 82 ], [ 95, 62, 67 ], [ 95, 63, 46 ], [ 95, 64, 59 ], [ 95, 65, 33 ], [ 95, 66, 86 ], [ 95, 67, 77 ], [ 95, 68, 68 ], [ 95, 69, 23 ], [ 95, 70, 52 ], [ 95, 71, 8 ], [ 95, 72, 68 ], [ 95, 73, 23 ], [ 95, 74, 104 ], [ 95, 75, 15 ], [ 95, 76, 107 ], [ 95, 77, 63 ], [ 95, 78, 86 ], [ 95, 79, 77 ], [ 95, 80, 38 ], [ 95, 81, 99 ], [ 95, 82, 41 ], [ 95, 83, 111 ], [ 95, 84, 82 ], [ 95, 85, 85 ], [ 95, 86, 46 ], [ 95, 87, 67 ], [ 95, 88, 33 ], [ 95, 89, 59 ], [ 95, 90, 78 ], [ 95, 91, 73 ], [ 95, 92, 42 ], [ 95, 93, 19 ], [ 95, 94, 25 ], [ 95, 95, 0 ], [ 95, 96, 67 ], [ 95, 97, 46 ], [ 95, 98, 99 ], [ 95, 99, 38 ], [ 95, 100, 100 ], [ 95, 101, 60 ], [ 95, 102, 85 ], [ 95, 103, 82 ], [ 95, 104, 15 ], [ 95, 105, 104 ], [ 95, 106, 16 ], [ 95, 107, 108 ], [ 95, 108, 77 ], [ 95, 109, 86 ], [ 95, 110, 23 ], [ 95, 111, 68 ], [ 95, 112, 8 ], [ 95, 113, 52 ], [ 95, 114, 73 ], [ 95, 115, 78 ], [ 95, 116, 19 ], [ 95, 117, 42 ], [ 95, 118, 0 ], [ 95, 119, 25 ], [ 96, 0, 0 ], [ 96, 1, 3 ], [ 96, 2, 8 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 5, 16 ], [ 96, 6, 30 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 9, 45 ], [ 96, 10, 33 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 13, 64 ], [ 96, 14, 60 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 17, 67 ], [ 96, 18, 81 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 21, 94 ], [ 96, 22, 82 ], [ 96, 23, 90 ], [ 96, 24, 45 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 27, 67 ], [ 96, 28, 94 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 31, 82 ], [ 96, 32, 81 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 35, 3 ], [ 96, 36, 33 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 39, 8 ], [ 96, 40, 30 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 43, 60 ], [ 96, 44, 64 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 47, 16 ], [ 96, 48, 11 ], [ 96, 49, 16 ], [ 96, 50, 64 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 53, 82 ], [ 96, 54, 67 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 57, 30 ], [ 96, 58, 60 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 61, 81 ], [ 96, 62, 94 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 65, 45 ], [ 96, 66, 8 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 69, 33 ], [ 96, 70, 3 ], [ 96, 71, 46 ], [ 96, 72, 3 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 75, 33 ], [ 96, 76, 81 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 79, 94 ], [ 96, 80, 82 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 83, 64 ], [ 96, 84, 16 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 87, 60 ], [ 96, 88, 8 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 91, 30 ], [ 96, 92, 45 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 95, 67 ], [ 96, 96, 0 ], [ 96, 97, 8 ], [ 96, 98, 30 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 101, 60 ], [ 96, 102, 45 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 105, 81 ], [ 96, 106, 33 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 109, 64 ], [ 96, 110, 67 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 113, 94 ], [ 96, 114, 3 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 117, 82 ], [ 96, 118, 16 ], [ 96, 119, 90 ], [ 97, 0, 0 ], [ 97, 1, 3 ], [ 97, 2, 12 ], [ 97, 3, 16 ], [ 97, 4, 7 ], [ 97, 5, 11 ], [ 97, 6, 30 ], [ 97, 7, 37 ], [ 97, 8, 26 ], [ 97, 9, 46 ], [ 97, 10, 25 ], [ 97, 11, 45 ], [ 97, 12, 86 ], [ 97, 13, 82 ], [ 97, 14, 74 ], [ 97, 15, 90 ], [ 97, 16, 77 ], [ 97, 17, 93 ], [ 97, 18, 63 ], [ 97, 19, 59 ], [ 97, 20, 51 ], [ 97, 21, 67 ], [ 97, 22, 52 ], [ 97, 23, 68 ], [ 97, 24, 45 ], [ 97, 25, 46 ], [ 97, 26, 93 ], [ 97, 27, 90 ], [ 97, 28, 68 ], [ 97, 29, 67 ], [ 97, 30, 59 ], [ 97, 31, 82 ], [ 97, 32, 107 ], [ 97, 33, 3 ], [ 97, 34, 104 ], [ 97, 35, 0 ], [ 97, 36, 63 ], [ 97, 37, 37 ], [ 97, 38, 119 ], [ 97, 39, 16 ], [ 97, 40, 115 ], [ 97, 41, 12 ], [ 97, 42, 86 ], [ 97, 43, 30 ], [ 97, 44, 112 ], [ 97, 45, 11 ], [ 97, 46, 108 ], [ 97, 47, 7 ], [ 97, 48, 11 ], [ 97, 49, 16 ], [ 97, 50, 77 ], [ 97, 51, 82 ], [ 97, 52, 52 ], [ 97, 53, 59 ], [ 97, 54, 67 ], [ 97, 55, 90 ], [ 97, 56, 115 ], [ 97, 57, 37 ], [ 97, 58, 108 ], [ 97, 59, 30 ], [ 97, 60, 51 ], [ 97, 61, 3 ], [ 97, 62, 112 ], [ 97, 63, 46 ], [ 97, 64, 107 ], [ 97, 65, 26 ], [ 97, 66, 74 ], [ 97, 67, 0 ], [ 97, 68, 119 ], [ 97, 69, 45 ], [ 97, 70, 104 ], [ 97, 71, 25 ], [ 97, 72, 7 ], [ 97, 73, 3 ], [ 97, 74, 25 ], [ 97, 75, 37 ], [ 97, 76, 51 ], [ 97, 77, 63 ], [ 97, 78, 68 ], [ 97, 79, 46 ], [ 97, 80, 104 ], [ 97, 81, 82 ], [ 97, 82, 112 ], [ 97, 83, 86 ], [ 97, 84, 52 ], [ 97, 85, 16 ], [ 97, 86, 108 ], [ 97, 87, 90 ], [ 97, 88, 119 ], [ 97, 89, 74 ], [ 97, 90, 26 ], [ 97, 91, 12 ], [ 97, 92, 107 ], [ 97, 93, 93 ], [ 97, 94, 115 ], [ 97, 95, 77 ], [ 97, 96, 12 ], [ 97, 97, 0 ], [ 97, 98, 26 ], [ 97, 99, 30 ], [ 97, 100, 74 ], [ 97, 101, 86 ], [ 97, 102, 93 ], [ 97, 103, 45 ], [ 97, 104, 107 ], [ 97, 105, 59 ], [ 97, 106, 119 ], [ 97, 107, 63 ], [ 97, 108, 77 ], [ 97, 109, 11 ], [ 97, 110, 115 ], [ 97, 111, 67 ], [ 97, 112, 112 ], [ 97, 113, 51 ], [ 97, 114, 25 ], [ 97, 115, 7 ], [ 97, 116, 104 ], [ 97, 117, 68 ], [ 97, 118, 108 ], [ 97, 119, 52 ], [ 98, 0, 0 ], [ 98, 1, 15 ], [ 98, 2, 8 ], [ 98, 3, 16 ], [ 98, 4, 7 ], [ 98, 5, 4 ], [ 98, 6, 48 ], [ 98, 7, 51 ], [ 98, 8, 60 ], [ 98, 9, 71 ], [ 98, 10, 55 ], [ 98, 11, 68 ], [ 98, 12, 26 ], [ 98, 13, 29 ], [ 98, 14, 38 ], [ 98, 15, 45 ], [ 98, 16, 34 ], [ 98, 17, 42 ], [ 98, 18, 73 ], [ 98, 19, 77 ], [ 98, 20, 81 ], [ 98, 21, 94 ], [ 98, 22, 89 ], [ 98, 23, 90 ], [ 98, 24, 45 ], [ 98, 25, 94 ], [ 98, 26, 71 ], [ 98, 27, 90 ], [ 98, 28, 68 ], [ 98, 29, 42 ], [ 98, 30, 111 ], [ 98, 31, 112 ], [ 98, 32, 89 ], [ 98, 33, 8 ], [ 98, 34, 34 ], [ 98, 35, 7 ], [ 98, 36, 107 ], [ 98, 37, 103 ], [ 98, 38, 81 ], [ 98, 39, 0 ], [ 98, 40, 55 ], [ 98, 41, 4 ], [ 98, 42, 116 ], [ 98, 43, 115 ], [ 98, 44, 38 ], [ 98, 45, 15 ], [ 98, 46, 60 ], [ 98, 47, 16 ], [ 98, 48, 29 ], [ 98, 49, 77 ], [ 98, 50, 16 ], [ 98, 51, 89 ], [ 98, 52, 4 ], [ 98, 53, 34 ], [ 98, 54, 103 ], [ 98, 55, 115 ], [ 98, 56, 90 ], [ 98, 57, 60 ], [ 98, 58, 42 ], [ 98, 59, 55 ], [ 98, 60, 116 ], [ 98, 61, 111 ], [ 98, 62, 73 ], [ 98, 63, 48 ], [ 98, 64, 7 ], [ 98, 65, 68 ], [ 98, 66, 107 ], [ 98, 67, 112 ], [ 98, 68, 26 ], [ 98, 69, 51 ], [ 98, 70, 8 ], [ 98, 71, 71 ], [ 98, 72, 51 ], [ 98, 73, 73 ], [ 98, 74, 15 ], [ 98, 75, 81 ], [ 98, 76, 7 ], [ 98, 77, 55 ], [ 98, 78, 112 ], [ 98, 79, 116 ], [ 98, 80, 94 ], [ 98, 81, 38 ], [ 98, 82, 68 ], [ 98, 83, 34 ], [ 98, 84, 115 ], [ 98, 85, 107 ], [ 98, 86, 77 ], [ 98, 87, 26 ], [ 98, 88, 4 ], [ 98, 89, 42 ], [ 98, 90, 111 ], [ 98, 91, 103 ], [ 98, 92, 48 ], [ 98, 93, 29 ], [ 98, 94, 0 ], [ 98, 95, 45 ], [ 98, 96, 48 ], [ 98, 97, 26 ], [ 98, 98, 0 ], [ 98, 99, 38 ], [ 98, 100, 8 ], [ 98, 101, 60 ], [ 98, 102, 111 ], [ 98, 103, 107 ], [ 98, 104, 45 ], [ 98, 105, 81 ], [ 98, 106, 71 ], [ 98, 107, 89 ], [ 98, 108, 103 ], [ 98, 109, 116 ], [ 98, 110, 29 ], [ 98, 111, 73 ], [ 98, 112, 16 ], [ 98, 113, 90 ], [ 98, 114, 112 ], [ 98, 115, 115 ], [ 98, 116, 51 ], [ 98, 117, 77 ], [ 98, 118, 15 ], [ 98, 119, 94 ], [ 99, 0, 0 ], [ 99, 1, 15 ], [ 99, 2, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 5, 11 ], [ 99, 6, 48 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 9, 67 ], [ 99, 10, 51 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 13, 77 ], [ 99, 14, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 17, 94 ], [ 99, 18, 25 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 21, 45 ], [ 99, 22, 29 ], [ 99, 23, 45 ], [ 99, 24, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 27, 67 ], [ 99, 28, 94 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 31, 112 ], [ 99, 32, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 35, 11 ], [ 99, 36, 119 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 39, 15 ], [ 99, 40, 115 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 43, 103 ], [ 99, 44, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 47, 0 ], [ 99, 48, 29 ], [ 99, 49, 77 ], [ 99, 50, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 53, 11 ], [ 99, 54, 103 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 57, 67 ], [ 99, 58, 115 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 61, 112 ], [ 99, 62, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 65, 51 ], [ 99, 66, 96 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 69, 48 ], [ 99, 70, 111 ], [ 99, 71, 48 ], [ 99, 72, 25 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 75, 15 ], [ 99, 76, 51 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 79, 112 ], [ 99, 80, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 83, 94 ], [ 99, 84, 96 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 87, 77 ], [ 99, 88, 115 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 91, 119 ], [ 99, 92, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 95, 74 ], [ 99, 96, 74 ], [ 99, 97, 48 ], [ 99, 98, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 101, 0 ], [ 99, 102, 119 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 105, 45 ], [ 99, 106, 111 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 109, 103 ], [ 99, 110, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 113, 29 ], [ 99, 114, 96 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 117, 25 ], [ 99, 118, 104 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 1, 7 ], [ 100, 2, 12 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 5, 4 ], [ 100, 6, 86 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 9, 94 ], [ 100, 10, 85 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 13, 41 ], [ 100, 14, 38 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 17, 45 ], [ 100, 18, 55 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 21, 67 ], [ 100, 22, 59 ], [ 100, 23, 68 ], [ 100, 24, 45 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 27, 67 ], [ 100, 28, 94 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 31, 38 ], [ 100, 32, 41 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 35, 12 ], [ 100, 36, 59 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 39, 4 ], [ 100, 40, 55 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 43, 85 ], [ 100, 44, 86 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 47, 7 ], [ 100, 48, 34 ], [ 100, 49, 59 ], [ 100, 50, 4 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 53, 41 ], [ 100, 54, 55 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 57, 85 ], [ 100, 58, 67 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 61, 12 ], [ 100, 62, 7 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 65, 86 ], [ 100, 66, 45 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 69, 94 ], [ 100, 70, 38 ], [ 100, 71, 81 ], [ 100, 72, 85 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 75, 55 ], [ 100, 76, 7 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 79, 86 ], [ 100, 80, 94 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 83, 38 ], [ 100, 84, 67 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 87, 45 ], [ 100, 88, 59 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 91, 4 ], [ 100, 92, 12 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 95, 41 ], [ 100, 96, 78 ], [ 100, 97, 38 ], [ 100, 98, 12 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 101, 86 ], [ 100, 102, 41 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 105, 59 ], [ 100, 106, 45 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 109, 7 ], [ 100, 110, 4 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 113, 55 ], [ 100, 114, 94 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 117, 67 ], [ 100, 118, 85 ], [ 100, 119, 64 ], [ 101, 0, 0 ], [ 101, 1, 7 ], [ 101, 2, 0 ], [ 101, 3, 16 ], [ 101, 4, 7 ], [ 101, 5, 16 ], [ 101, 6, 86 ], [ 101, 7, 81 ], [ 101, 8, 86 ], [ 101, 9, 90 ], [ 101, 10, 81 ], [ 101, 11, 90 ], [ 101, 12, 60 ], [ 101, 13, 59 ], [ 101, 14, 60 ], [ 101, 15, 68 ], [ 101, 16, 59 ], [ 101, 17, 68 ], [ 101, 18, 37 ], [ 101, 19, 34 ], [ 101, 20, 37 ], [ 101, 21, 45 ], [ 101, 22, 34 ], [ 101, 23, 45 ], [ 101, 24, 45 ], [ 101, 25, 68 ], [ 101, 26, 45 ], [ 101, 27, 90 ], [ 101, 28, 68 ], [ 101, 29, 90 ], [ 101, 30, 63 ], [ 101, 31, 38 ], [ 101, 32, 63 ], [ 101, 33, 16 ], [ 101, 34, 38 ], [ 101, 35, 16 ], [ 101, 36, 89 ], [ 101, 37, 30 ], [ 101, 38, 89 ], [ 101, 39, 7 ], [ 101, 40, 30 ], [ 101, 41, 7 ], [ 101, 42, 82 ], [ 101, 43, 55 ], [ 101, 44, 82 ], [ 101, 45, 0 ], [ 101, 46, 55 ], [ 101, 47, 0 ], [ 101, 48, 34 ], [ 101, 49, 59 ], [ 101, 50, 34 ], [ 101, 51, 16 ], [ 101, 52, 59 ], [ 101, 53, 16 ], [ 101, 54, 55 ], [ 101, 55, 30 ], [ 101, 56, 55 ], [ 101, 57, 90 ], [ 101, 58, 30 ], [ 101, 59, 90 ], [ 101, 60, 20 ], [ 101, 61, 38 ], [ 101, 62, 20 ], [ 101, 63, 81 ], [ 101, 64, 38 ], [ 101, 65, 81 ], [ 101, 66, 19 ], [ 101, 67, 63 ], [ 101, 68, 19 ], [ 101, 69, 86 ], [ 101, 70, 63 ], [ 101, 71, 86 ], [ 101, 72, 37 ], [ 101, 73, 81 ], [ 101, 74, 37 ], [ 101, 75, 7 ], [ 101, 76, 81 ], [ 101, 77, 7 ], [ 101, 78, 82 ], [ 101, 79, 38 ], [ 101, 80, 82 ], [ 101, 81, 68 ], [ 101, 82, 38 ], [ 101, 83, 68 ], [ 101, 84, 19 ], [ 101, 85, 30 ], [ 101, 86, 19 ], [ 101, 87, 59 ], [ 101, 88, 30 ], [ 101, 89, 59 ], [ 101, 90, 20 ], [ 101, 91, 89 ], [ 101, 92, 20 ], [ 101, 93, 60 ], [ 101, 94, 89 ], [ 101, 95, 60 ], [ 101, 96, 60 ], [ 101, 97, 86 ], [ 101, 98, 60 ], [ 101, 99, 0 ], [ 101, 100, 86 ], [ 101, 101, 0 ], [ 101, 102, 89 ], [ 101, 103, 63 ], [ 101, 104, 89 ], [ 101, 105, 45 ], [ 101, 106, 63 ], [ 101, 107, 45 ], [ 101, 108, 20 ], [ 101, 109, 55 ], [ 101, 110, 20 ], [ 101, 111, 34 ], [ 101, 112, 55 ], [ 101, 113, 34 ], [ 101, 114, 19 ], [ 101, 115, 82 ], [ 101, 116, 19 ], [ 101, 117, 37 ], [ 101, 118, 82 ], [ 101, 119, 37 ], [ 102, 0, 0 ], [ 102, 1, 3 ], [ 102, 2, 56 ], [ 102, 3, 59 ], [ 102, 4, 81 ], [ 102, 5, 82 ], [ 102, 6, 30 ], [ 102, 7, 37 ], [ 102, 8, 60 ], [ 102, 9, 67 ], [ 102, 10, 85 ], [ 102, 11, 90 ], [ 102, 12, 26 ], [ 102, 13, 41 ], [ 102, 14, 12 ], [ 102, 15, 23 ], [ 102, 16, 77 ], [ 102, 17, 93 ], [ 102, 18, 25 ], [ 102, 19, 34 ], [ 102, 20, 7 ], [ 102, 21, 20 ], [ 102, 22, 52 ], [ 102, 23, 68 ], [ 102, 24, 99 ], [ 102, 25, 100 ], [ 102, 26, 112 ], [ 102, 27, 111 ], [ 102, 28, 119 ], [ 102, 29, 116 ], [ 102, 30, 67 ], [ 102, 31, 90 ], [ 102, 32, 85 ], [ 102, 33, 30 ], [ 102, 34, 60 ], [ 102, 35, 37 ], [ 102, 36, 23 ], [ 102, 37, 93 ], [ 102, 38, 77 ], [ 102, 39, 26 ], [ 102, 40, 12 ], [ 102, 41, 41 ], [ 102, 42, 20 ], [ 102, 43, 68 ], [ 102, 44, 52 ], [ 102, 45, 25 ], [ 102, 46, 7 ], [ 102, 47, 34 ], [ 102, 48, 111 ], [ 102, 49, 116 ], [ 102, 50, 119 ], [ 102, 51, 99 ], [ 102, 52, 112 ], [ 102, 53, 100 ], [ 102, 54, 59 ], [ 102, 55, 82 ], [ 102, 56, 81 ], [ 102, 57, 0 ], [ 102, 58, 56 ], [ 102, 59, 3 ], [ 102, 60, 41 ], [ 102, 61, 77 ], [ 102, 62, 93 ], [ 102, 63, 12 ], [ 102, 64, 26 ], [ 102, 65, 23 ], [ 102, 66, 34 ], [ 102, 67, 52 ], [ 102, 68, 68 ], [ 102, 69, 7 ], [ 102, 70, 25 ], [ 102, 71, 20 ], [ 102, 72, 100 ], [ 102, 73, 119 ], [ 102, 74, 116 ], [ 102, 75, 112 ], [ 102, 76, 99 ], [ 102, 77, 111 ], [ 102, 78, 3 ], [ 102, 79, 81 ], [ 102, 80, 82 ], [ 102, 81, 56 ], [ 102, 82, 0 ], [ 102, 83, 59 ], [ 102, 84, 37 ], [ 102, 85, 85 ], [ 102, 86, 90 ], [ 102, 87, 60 ], [ 102, 88, 30 ], [ 102, 89, 67 ], [ 102, 90, 25 ], [ 102, 91, 7 ], [ 102, 92, 20 ], [ 102, 93, 52 ], [ 102, 94, 34 ], [ 102, 95, 68 ], [ 102, 96, 99 ], [ 102, 97, 112 ], [ 102, 98, 111 ], [ 102, 99, 119 ], [ 102, 100, 100 ], [ 102, 101, 116 ], [ 102, 102, 0 ], [ 102, 103, 56 ], [ 102, 104, 59 ], [ 102, 105, 81 ], [ 102, 106, 3 ], [ 102, 107, 82 ], [ 102, 108, 30 ], [ 102, 109, 60 ], [ 102, 110, 67 ], [ 102, 111, 85 ], [ 102, 112, 37 ], [ 102, 113, 90 ], [ 102, 114, 26 ], [ 102, 115, 12 ], [ 102, 116, 23 ], [ 102, 117, 77 ], [ 102, 118, 41 ], [ 102, 119, 93 ], [ 103, 0, 0 ], [ 103, 1, 3 ], [ 103, 2, 78 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 5, 59 ], [ 103, 6, 30 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 9, 90 ], [ 103, 10, 55 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 13, 29 ], [ 103, 14, 0 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 17, 67 ], [ 103, 18, 37 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 21, 19 ], [ 103, 22, 82 ], [ 103, 23, 90 ], [ 103, 24, 99 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 27, 116 ], [ 103, 28, 108 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 31, 90 ], [ 103, 32, 115 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 35, 30 ], [ 103, 36, 67 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 39, 29 ], [ 103, 40, 111 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 43, 19 ], [ 103, 44, 100 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 47, 37 ], [ 103, 48, 111 ], [ 103, 49, 116 ], [ 103, 50, 107 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 53, 99 ], [ 103, 54, 59 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 57, 3 ], [ 103, 58, 104 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 61, 29 ], [ 103, 62, 111 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 65, 0 ], [ 103, 66, 82 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 69, 19 ], [ 103, 70, 100 ], [ 103, 71, 3 ], [ 103, 72, 108 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 75, 116 ], [ 103, 76, 107 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 79, 3 ], [ 103, 80, 104 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 83, 78 ], [ 103, 84, 55 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 87, 90 ], [ 103, 88, 115 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 91, 37 ], [ 103, 92, 100 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 95, 82 ], [ 103, 96, 115 ], [ 103, 97, 99 ], [ 103, 98, 107 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 101, 108 ], [ 103, 102, 78 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 105, 59 ], [ 103, 106, 104 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 109, 30 ], [ 103, 110, 115 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 113, 55 ], [ 103, 114, 0 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 117, 67 ], [ 103, 118, 111 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 1, 81 ], [ 104, 2, 56 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 5, 4 ], [ 104, 6, 0 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 9, 94 ], [ 104, 10, 25 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 13, 82 ], [ 104, 14, 38 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 17, 68 ], [ 104, 18, 55 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 21, 20 ], [ 104, 22, 34 ], [ 104, 23, 68 ], [ 104, 24, 99 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 27, 116 ], [ 104, 28, 108 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 31, 119 ], [ 104, 32, 94 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 35, 25 ], [ 104, 36, 112 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 39, 38 ], [ 104, 40, 68 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 43, 96 ], [ 104, 44, 20 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 47, 34 ], [ 104, 48, 103 ], [ 104, 49, 107 ], [ 104, 50, 116 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 53, 108 ], [ 104, 54, 103 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 57, 56 ], [ 104, 58, 4 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 61, 112 ], [ 104, 62, 82 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 65, 68 ], [ 104, 66, 96 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 69, 55 ], [ 104, 70, 34 ], [ 104, 71, 68 ], [ 104, 72, 107 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 75, 99 ], [ 104, 76, 108 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 79, 103 ], [ 104, 80, 81 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 83, 4 ], [ 104, 84, 119 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 87, 0 ], [ 104, 88, 25 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 91, 96 ], [ 104, 92, 55 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 95, 20 ], [ 104, 96, 103 ], [ 104, 97, 107 ], [ 104, 98, 99 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 101, 116 ], [ 104, 102, 103 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 105, 81 ], [ 104, 106, 56 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 109, 119 ], [ 104, 110, 0 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 113, 94 ], [ 104, 114, 112 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 117, 82 ], [ 104, 118, 38 ], [ 104, 119, 94 ], [ 105, 0, 0 ], [ 105, 1, 81 ], [ 105, 2, 0 ], [ 105, 3, 59 ], [ 105, 4, 81 ], [ 105, 5, 59 ], [ 105, 6, 0 ], [ 105, 7, 81 ], [ 105, 8, 0 ], [ 105, 9, 45 ], [ 105, 10, 81 ], [ 105, 11, 45 ], [ 105, 12, 0 ], [ 105, 13, 59 ], [ 105, 14, 0 ], [ 105, 15, 45 ], [ 105, 16, 59 ], [ 105, 17, 45 ], [ 105, 18, 81 ], [ 105, 19, 59 ], [ 105, 20, 81 ], [ 105, 21, 45 ], [ 105, 22, 59 ], [ 105, 23, 45 ], [ 105, 24, 99 ], [ 105, 25, 119 ], [ 105, 26, 99 ], [ 105, 27, 111 ], [ 105, 28, 119 ], [ 105, 29, 111 ], [ 105, 30, 99 ], [ 105, 31, 119 ], [ 105, 32, 99 ], [ 105, 33, 45 ], [ 105, 34, 119 ], [ 105, 35, 45 ], [ 105, 36, 99 ], [ 105, 37, 111 ], [ 105, 38, 99 ], [ 105, 39, 45 ], [ 105, 40, 111 ], [ 105, 41, 45 ], [ 105, 42, 119 ], [ 105, 43, 111 ], [ 105, 44, 119 ], [ 105, 45, 45 ], [ 105, 46, 111 ], [ 105, 47, 45 ], [ 105, 48, 103 ], [ 105, 49, 107 ], [ 105, 50, 103 ], [ 105, 51, 111 ], [ 105, 52, 107 ], [ 105, 53, 111 ], [ 105, 54, 103 ], [ 105, 55, 107 ], [ 105, 56, 103 ], [ 105, 57, 59 ], [ 105, 58, 107 ], [ 105, 59, 59 ], [ 105, 60, 103 ], [ 105, 61, 111 ], [ 105, 62, 103 ], [ 105, 63, 59 ], [ 105, 64, 111 ], [ 105, 65, 59 ], [ 105, 66, 107 ], [ 105, 67, 111 ], [ 105, 68, 107 ], [ 105, 69, 59 ], [ 105, 70, 111 ], [ 105, 71, 59 ], [ 105, 72, 104 ], [ 105, 73, 107 ], [ 105, 74, 104 ], [ 105, 75, 119 ], [ 105, 76, 107 ], [ 105, 77, 119 ], [ 105, 78, 104 ], [ 105, 79, 107 ], [ 105, 80, 104 ], [ 105, 81, 81 ], [ 105, 82, 107 ], [ 105, 83, 81 ], [ 105, 84, 104 ], [ 105, 85, 119 ], [ 105, 86, 104 ], [ 105, 87, 81 ], [ 105, 88, 119 ], [ 105, 89, 81 ], [ 105, 90, 107 ], [ 105, 91, 119 ], [ 105, 92, 107 ], [ 105, 93, 81 ], [ 105, 94, 119 ], [ 105, 95, 81 ], [ 105, 96, 104 ], [ 105, 97, 103 ], [ 105, 98, 104 ], [ 105, 99, 99 ], [ 105, 100, 103 ], [ 105, 101, 99 ], [ 105, 102, 104 ], [ 105, 103, 103 ], [ 105, 104, 104 ], [ 105, 105, 0 ], [ 105, 106, 103 ], [ 105, 107, 0 ], [ 105, 108, 104 ], [ 105, 109, 99 ], [ 105, 110, 104 ], [ 105, 111, 0 ], [ 105, 112, 99 ], [ 105, 113, 0 ], [ 105, 114, 103 ], [ 105, 115, 99 ], [ 105, 116, 103 ], [ 105, 117, 0 ], [ 105, 118, 99 ], [ 105, 119, 0 ], [ 106, 0, 0 ], [ 106, 1, 55 ], [ 106, 2, 78 ], [ 106, 3, 59 ], [ 106, 4, 81 ], [ 106, 5, 4 ], [ 106, 6, 8 ], [ 106, 7, 51 ], [ 106, 8, 26 ], [ 106, 9, 71 ], [ 106, 10, 33 ], [ 106, 11, 23 ], [ 106, 12, 86 ], [ 106, 13, 64 ], [ 106, 14, 38 ], [ 106, 15, 68 ], [ 106, 16, 34 ], [ 106, 17, 94 ], [ 106, 18, 73 ], [ 106, 19, 16 ], [ 106, 20, 37 ], [ 106, 21, 19 ], [ 106, 22, 29 ], [ 106, 23, 90 ], [ 106, 24, 99 ], [ 106, 25, 108 ], [ 106, 26, 115 ], [ 106, 27, 111 ], [ 106, 28, 119 ], [ 106, 29, 96 ], [ 106, 30, 51 ], [ 106, 31, 8 ], [ 106, 32, 23 ], [ 106, 33, 33 ], [ 106, 34, 71 ], [ 106, 35, 26 ], [ 106, 36, 64 ], [ 106, 37, 86 ], [ 106, 38, 94 ], [ 106, 39, 34 ], [ 106, 40, 68 ], [ 106, 41, 38 ], [ 106, 42, 16 ], [ 106, 43, 73 ], [ 106, 44, 90 ], [ 106, 45, 29 ], [ 106, 46, 19 ], [ 106, 47, 37 ], [ 106, 48, 108 ], [ 106, 49, 99 ], [ 106, 50, 96 ], [ 106, 51, 119 ], [ 106, 52, 111 ], [ 106, 53, 115 ], [ 106, 54, 55 ], [ 106, 55, 0 ], [ 106, 56, 4 ], [ 106, 57, 81 ], [ 106, 58, 59 ], [ 106, 59, 78 ], [ 106, 60, 68 ], [ 106, 61, 38 ], [ 106, 62, 34 ], [ 106, 63, 94 ], [ 106, 64, 64 ], [ 106, 65, 86 ], [ 106, 66, 19 ], [ 106, 67, 37 ], [ 106, 68, 29 ], [ 106, 69, 90 ], [ 106, 70, 16 ], [ 106, 71, 73 ], [ 106, 72, 111 ], [ 106, 73, 115 ], [ 106, 74, 119 ], [ 106, 75, 96 ], [ 106, 76, 108 ], [ 106, 77, 99 ], [ 106, 78, 59 ], [ 106, 79, 78 ], [ 106, 80, 81 ], [ 106, 81, 4 ], [ 106, 82, 55 ], [ 106, 83, 0 ], [ 106, 84, 71 ], [ 106, 85, 26 ], [ 106, 86, 33 ], [ 106, 87, 23 ], [ 106, 88, 51 ], [ 106, 89, 8 ], [ 106, 90, 90 ], [ 106, 91, 29 ], [ 106, 92, 37 ], [ 106, 93, 19 ], [ 106, 94, 73 ], [ 106, 95, 16 ], [ 106, 96, 96 ], [ 106, 97, 119 ], [ 106, 98, 115 ], [ 106, 99, 111 ], [ 106, 100, 99 ], [ 106, 101, 108 ], [ 106, 102, 4 ], [ 106, 103, 81 ], [ 106, 104, 78 ], [ 106, 105, 59 ], [ 106, 106, 0 ], [ 106, 107, 55 ], [ 106, 108, 23 ], [ 106, 109, 33 ], [ 106, 110, 26 ], [ 106, 111, 71 ], [ 106, 112, 8 ], [ 106, 113, 51 ], [ 106, 114, 94 ], [ 106, 115, 34 ], [ 106, 116, 38 ], [ 106, 117, 68 ], [ 106, 118, 86 ], [ 106, 119, 64 ], [ 107, 0, 0 ], [ 107, 1, 55 ], [ 107, 2, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 5, 82 ], [ 107, 6, 8 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 9, 46 ], [ 107, 10, 51 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 13, 77 ], [ 107, 14, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 17, 42 ], [ 107, 18, 63 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 21, 45 ], [ 107, 22, 89 ], [ 107, 23, 45 ], [ 107, 24, 99 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 27, 116 ], [ 107, 28, 108 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 31, 8 ], [ 107, 32, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 35, 46 ], [ 107, 36, 77 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 39, 42 ], [ 107, 40, 12 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 43, 63 ], [ 107, 44, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 47, 45 ], [ 107, 48, 108 ], [ 107, 49, 99 ], [ 107, 50, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 53, 116 ], [ 107, 54, 55 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 57, 82 ], [ 107, 58, 0 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 61, 12 ], [ 107, 62, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 65, 77 ], [ 107, 66, 45 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 69, 89 ], [ 107, 70, 63 ], [ 107, 71, 89 ], [ 107, 72, 116 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 75, 108 ], [ 107, 76, 99 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 79, 0 ], [ 107, 80, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 83, 55 ], [ 107, 84, 46 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 87, 51 ], [ 107, 88, 8 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 91, 89 ], [ 107, 92, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 95, 63 ], [ 107, 96, 116 ], [ 107, 97, 108 ], [ 107, 98, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 101, 99 ], [ 107, 102, 82 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 105, 0 ], [ 107, 106, 55 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 109, 51 ], [ 107, 110, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 113, 8 ], [ 107, 114, 42 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 117, 12 ], [ 107, 118, 77 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 1, 15 ], [ 108, 2, 26 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 5, 82 ], [ 108, 6, 48 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 9, 46 ], [ 108, 10, 81 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 13, 59 ], [ 108, 14, 12 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 17, 94 ], [ 108, 18, 63 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 21, 23 ], [ 108, 22, 29 ], [ 108, 23, 45 ], [ 108, 24, 29 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 27, 81 ], [ 108, 28, 12 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 31, 23 ], [ 108, 32, 82 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 35, 63 ], [ 108, 36, 46 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 39, 48 ], [ 108, 40, 15 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 43, 94 ], [ 108, 44, 26 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 47, 59 ], [ 108, 48, 45 ], [ 108, 49, 94 ], [ 108, 50, 63 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 53, 26 ], [ 108, 54, 59 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 57, 12 ], [ 108, 58, 46 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 61, 29 ], [ 108, 62, 81 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 65, 23 ], [ 108, 66, 82 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 69, 15 ], [ 108, 70, 48 ], [ 108, 71, 19 ], [ 108, 72, 23 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 75, 82 ], [ 108, 76, 48 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 79, 63 ], [ 108, 80, 94 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 83, 29 ], [ 108, 84, 15 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 87, 26 ], [ 108, 88, 59 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 91, 81 ], [ 108, 92, 12 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 95, 46 ], [ 108, 96, 19 ], [ 108, 97, 46 ], [ 108, 98, 59 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 101, 15 ], [ 108, 102, 48 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 105, 81 ], [ 108, 106, 23 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 109, 12 ], [ 108, 110, 29 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 113, 94 ], [ 108, 114, 26 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 117, 82 ], [ 108, 118, 63 ], [ 108, 119, 93 ], [ 109, 0, 0 ], [ 109, 1, 15 ], [ 109, 2, 78 ], [ 109, 3, 77 ], [ 109, 4, 37 ], [ 109, 5, 29 ], [ 109, 6, 48 ], [ 109, 7, 51 ], [ 109, 8, 86 ], [ 109, 9, 94 ], [ 109, 10, 33 ], [ 109, 11, 45 ], [ 109, 12, 60 ], [ 109, 13, 64 ], [ 109, 14, 8 ], [ 109, 15, 23 ], [ 109, 16, 34 ], [ 109, 17, 42 ], [ 109, 18, 55 ], [ 109, 19, 59 ], [ 109, 20, 7 ], [ 109, 21, 19 ], [ 109, 22, 89 ], [ 109, 23, 90 ], [ 109, 24, 29 ], [ 109, 25, 77 ], [ 109, 26, 37 ], [ 109, 27, 15 ], [ 109, 28, 78 ], [ 109, 29, 0 ], [ 109, 30, 19 ], [ 109, 31, 23 ], [ 109, 32, 116 ], [ 109, 33, 64 ], [ 109, 34, 107 ], [ 109, 35, 59 ], [ 109, 36, 90 ], [ 109, 37, 94 ], [ 109, 38, 100 ], [ 109, 39, 51 ], [ 109, 40, 104 ], [ 109, 41, 55 ], [ 109, 42, 42 ], [ 109, 43, 45 ], [ 109, 44, 96 ], [ 109, 45, 48 ], [ 109, 46, 119 ], [ 109, 47, 60 ], [ 109, 48, 45 ], [ 109, 49, 94 ], [ 109, 50, 33 ], [ 109, 51, 51 ], [ 109, 52, 86 ], [ 109, 53, 48 ], [ 109, 54, 59 ], [ 109, 55, 64 ], [ 109, 56, 107 ], [ 109, 57, 23 ], [ 109, 58, 116 ], [ 109, 59, 19 ], [ 109, 60, 89 ], [ 109, 61, 77 ], [ 109, 62, 119 ], [ 109, 63, 15 ], [ 109, 64, 96 ], [ 109, 65, 7 ], [ 109, 66, 34 ], [ 109, 67, 29 ], [ 109, 68, 104 ], [ 109, 69, 0 ], [ 109, 70, 100 ], [ 109, 71, 8 ], [ 109, 72, 42 ], [ 109, 73, 23 ], [ 109, 74, 34 ], [ 109, 75, 64 ], [ 109, 76, 8 ], [ 109, 77, 60 ], [ 109, 78, 55 ], [ 109, 79, 51 ], [ 109, 80, 104 ], [ 109, 81, 94 ], [ 109, 82, 100 ], [ 109, 83, 90 ], [ 109, 84, 7 ], [ 109, 85, 15 ], [ 109, 86, 96 ], [ 109, 87, 77 ], [ 109, 88, 119 ], [ 109, 89, 89 ], [ 109, 90, 33 ], [ 109, 91, 37 ], [ 109, 92, 107 ], [ 109, 93, 78 ], [ 109, 94, 116 ], [ 109, 95, 86 ], [ 109, 96, 90 ], [ 109, 97, 19 ], [ 109, 98, 89 ], [ 109, 99, 59 ], [ 109, 100, 7 ], [ 109, 101, 55 ], [ 109, 102, 60 ], [ 109, 103, 48 ], [ 109, 104, 119 ], [ 109, 105, 45 ], [ 109, 106, 96 ], [ 109, 107, 42 ], [ 109, 108, 8 ], [ 109, 109, 0 ], [ 109, 110, 100 ], [ 109, 111, 29 ], [ 109, 112, 104 ], [ 109, 113, 34 ], [ 109, 114, 86 ], [ 109, 115, 78 ], [ 109, 116, 116 ], [ 109, 117, 37 ], [ 109, 118, 107 ], [ 109, 119, 33 ], [ 110, 0, 0 ], [ 110, 1, 81 ], [ 110, 2, 26 ], [ 110, 3, 77 ], [ 110, 4, 37 ], [ 110, 5, 16 ], [ 110, 6, 0 ], [ 110, 7, 81 ], [ 110, 8, 60 ], [ 110, 9, 90 ], [ 110, 10, 51 ], [ 110, 11, 23 ], [ 110, 12, 26 ], [ 110, 13, 77 ], [ 110, 14, 60 ], [ 110, 15, 90 ], [ 110, 16, 59 ], [ 110, 17, 45 ], [ 110, 18, 37 ], [ 110, 19, 16 ], [ 110, 20, 51 ], [ 110, 21, 23 ], [ 110, 22, 59 ], [ 110, 23, 45 ], [ 110, 24, 29 ], [ 110, 25, 41 ], [ 110, 26, 3 ], [ 110, 27, 15 ], [ 110, 28, 78 ], [ 110, 29, 74 ], [ 110, 30, 29 ], [ 110, 31, 41 ], [ 110, 32, 90 ], [ 110, 33, 60 ], [ 110, 34, 23 ], [ 110, 35, 51 ], [ 110, 36, 3 ], [ 110, 37, 15 ], [ 110, 38, 90 ], [ 110, 39, 60 ], [ 110, 40, 45 ], [ 110, 41, 59 ], [ 110, 42, 78 ], [ 110, 43, 74 ], [ 110, 44, 23 ], [ 110, 45, 51 ], [ 110, 46, 45 ], [ 110, 47, 59 ], [ 110, 48, 67 ], [ 110, 49, 71 ], [ 110, 50, 15 ], [ 110, 51, 3 ], [ 110, 52, 74 ], [ 110, 53, 78 ], [ 110, 54, 67 ], [ 110, 55, 71 ], [ 110, 56, 77 ], [ 110, 57, 26 ], [ 110, 58, 16 ], [ 110, 59, 37 ], [ 110, 60, 15 ], [ 110, 61, 3 ], [ 110, 62, 77 ], [ 110, 63, 26 ], [ 110, 64, 59 ], [ 110, 65, 45 ], [ 110, 66, 74 ], [ 110, 67, 78 ], [ 110, 68, 16 ], [ 110, 69, 37 ], [ 110, 70, 59 ], [ 110, 71, 45 ], [ 110, 72, 71 ], [ 110, 73, 67 ], [ 110, 74, 41 ], [ 110, 75, 29 ], [ 110, 76, 78 ], [ 110, 77, 74 ], [ 110, 78, 71 ], [ 110, 79, 67 ], [ 110, 80, 81 ], [ 110, 81, 0 ], [ 110, 82, 37 ], [ 110, 83, 16 ], [ 110, 84, 41 ], [ 110, 85, 29 ], [ 110, 86, 81 ], [ 110, 87, 0 ], [ 110, 88, 51 ], [ 110, 89, 23 ], [ 110, 90, 78 ], [ 110, 91, 74 ], [ 110, 92, 37 ], [ 110, 93, 16 ], [ 110, 94, 51 ], [ 110, 95, 23 ], [ 110, 96, 67 ], [ 110, 97, 71 ], [ 110, 98, 29 ], [ 110, 99, 41 ], [ 110, 100, 3 ], [ 110, 101, 15 ], [ 110, 102, 67 ], [ 110, 103, 71 ], [ 110, 104, 0 ], [ 110, 105, 81 ], [ 110, 106, 26 ], [ 110, 107, 77 ], [ 110, 108, 29 ], [ 110, 109, 41 ], [ 110, 110, 0 ], [ 110, 111, 81 ], [ 110, 112, 60 ], [ 110, 113, 90 ], [ 110, 114, 3 ], [ 110, 115, 15 ], [ 110, 116, 26 ], [ 110, 117, 77 ], [ 110, 118, 60 ], [ 110, 119, 90 ], [ 111, 0, 0 ], [ 111, 1, 81 ], [ 111, 2, 12 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 5, 29 ], [ 111, 6, 0 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 9, 71 ], [ 111, 10, 85 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 13, 41 ], [ 111, 14, 8 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 17, 68 ], [ 111, 18, 73 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 21, 67 ], [ 111, 22, 34 ], [ 111, 23, 68 ], [ 111, 24, 29 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 27, 81 ], [ 111, 28, 12 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 31, 41 ], [ 111, 32, 100 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 35, 67 ], [ 111, 36, 73 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 39, 71 ], [ 111, 40, 104 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 43, 0 ], [ 111, 44, 115 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 47, 68 ], [ 111, 48, 67 ], [ 111, 49, 71 ], [ 111, 50, 85 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 53, 0 ], [ 111, 54, 67 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 57, 41 ], [ 111, 58, 100 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 61, 81 ], [ 111, 62, 115 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 65, 34 ], [ 111, 66, 8 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 69, 29 ], [ 111, 70, 104 ], [ 111, 71, 34 ], [ 111, 72, 68 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 75, 41 ], [ 111, 76, 8 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 79, 71 ], [ 111, 80, 104 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 83, 73 ], [ 111, 84, 34 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 87, 81 ], [ 111, 88, 115 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 91, 12 ], [ 111, 92, 100 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 95, 85 ], [ 111, 96, 68 ], [ 111, 97, 67 ], [ 111, 98, 34 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 101, 73 ], [ 111, 102, 68 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 105, 0 ], [ 111, 106, 115 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 109, 29 ], [ 111, 110, 104 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 113, 8 ], [ 111, 114, 85 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 117, 12 ], [ 111, 118, 100 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 1, 25 ], [ 112, 2, 78 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 5, 16 ], [ 112, 6, 12 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 9, 45 ], [ 112, 10, 55 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 13, 29 ], [ 112, 14, 60 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 17, 93 ], [ 112, 18, 81 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 21, 19 ], [ 112, 22, 52 ], [ 112, 23, 90 ], [ 112, 24, 29 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 27, 81 ], [ 112, 28, 12 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 31, 78 ], [ 112, 32, 19 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 35, 52 ], [ 112, 36, 16 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 39, 55 ], [ 112, 40, 45 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 43, 25 ], [ 112, 44, 93 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 47, 60 ], [ 112, 48, 42 ], [ 112, 49, 19 ], [ 112, 50, 25 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 53, 60 ], [ 112, 54, 55 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 57, 93 ], [ 112, 58, 29 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 61, 12 ], [ 112, 62, 52 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 65, 81 ], [ 112, 66, 45 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 69, 78 ], [ 112, 70, 16 ], [ 112, 71, 74 ], [ 112, 72, 45 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 75, 52 ], [ 112, 76, 78 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 79, 60 ], [ 112, 80, 81 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 83, 19 ], [ 112, 84, 93 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 87, 16 ], [ 112, 88, 25 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 91, 29 ], [ 112, 92, 55 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 95, 12 ], [ 112, 96, 20 ], [ 112, 97, 93 ], [ 112, 98, 16 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 101, 55 ], [ 112, 102, 52 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 105, 45 ], [ 112, 106, 12 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 109, 81 ], [ 112, 110, 60 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 113, 29 ], [ 112, 114, 19 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 117, 25 ], [ 112, 118, 78 ], [ 112, 119, 37 ], [ 113, 0, 0 ], [ 113, 1, 25 ], [ 113, 2, 12 ], [ 113, 3, 77 ], [ 113, 4, 37 ], [ 113, 5, 82 ], [ 113, 6, 12 ], [ 113, 7, 37 ], [ 113, 8, 0 ], [ 113, 9, 67 ], [ 113, 10, 25 ], [ 113, 11, 68 ], [ 113, 12, 0 ], [ 113, 13, 82 ], [ 113, 14, 12 ], [ 113, 15, 68 ], [ 113, 16, 77 ], [ 113, 17, 67 ], [ 113, 18, 25 ], [ 113, 19, 77 ], [ 113, 20, 37 ], [ 113, 21, 67 ], [ 113, 22, 82 ], [ 113, 23, 68 ], [ 113, 24, 29 ], [ 113, 25, 4 ], [ 113, 26, 73 ], [ 113, 27, 15 ], [ 113, 28, 78 ], [ 113, 29, 38 ], [ 113, 30, 73 ], [ 113, 31, 78 ], [ 113, 32, 29 ], [ 113, 33, 67 ], [ 113, 34, 4 ], [ 113, 35, 68 ], [ 113, 36, 29 ], [ 113, 37, 38 ], [ 113, 38, 73 ], [ 113, 39, 68 ], [ 113, 40, 15 ], [ 113, 41, 67 ], [ 113, 42, 4 ], [ 113, 43, 15 ], [ 113, 44, 78 ], [ 113, 45, 67 ], [ 113, 46, 38 ], [ 113, 47, 68 ], [ 113, 48, 42 ], [ 113, 49, 19 ], [ 113, 50, 55 ], [ 113, 51, 15 ], [ 113, 52, 48 ], [ 113, 53, 38 ], [ 113, 54, 55 ], [ 113, 55, 48 ], [ 113, 56, 42 ], [ 113, 57, 77 ], [ 113, 58, 19 ], [ 113, 59, 82 ], [ 113, 60, 42 ], [ 113, 61, 38 ], [ 113, 62, 55 ], [ 113, 63, 82 ], [ 113, 64, 15 ], [ 113, 65, 77 ], [ 113, 66, 19 ], [ 113, 67, 15 ], [ 113, 68, 48 ], [ 113, 69, 77 ], [ 113, 70, 38 ], [ 113, 71, 82 ], [ 113, 72, 94 ], [ 113, 73, 19 ], [ 113, 74, 64 ], [ 113, 75, 4 ], [ 113, 76, 48 ], [ 113, 77, 78 ], [ 113, 78, 64 ], [ 113, 79, 48 ], [ 113, 80, 94 ], [ 113, 81, 25 ], [ 113, 82, 19 ], [ 113, 83, 37 ], [ 113, 84, 94 ], [ 113, 85, 78 ], [ 113, 86, 64 ], [ 113, 87, 37 ], [ 113, 88, 4 ], [ 113, 89, 25 ], [ 113, 90, 19 ], [ 113, 91, 4 ], [ 113, 92, 48 ], [ 113, 93, 25 ], [ 113, 94, 78 ], [ 113, 95, 37 ], [ 113, 96, 94 ], [ 113, 97, 42 ], [ 113, 98, 64 ], [ 113, 99, 29 ], [ 113, 100, 55 ], [ 113, 101, 73 ], [ 113, 102, 64 ], [ 113, 103, 55 ], [ 113, 104, 94 ], [ 113, 105, 0 ], [ 113, 106, 42 ], [ 113, 107, 12 ], [ 113, 108, 94 ], [ 113, 109, 73 ], [ 113, 110, 64 ], [ 113, 111, 12 ], [ 113, 112, 29 ], [ 113, 113, 0 ], [ 113, 114, 42 ], [ 113, 115, 29 ], [ 113, 116, 55 ], [ 113, 117, 0 ], [ 113, 118, 73 ], [ 113, 119, 12 ], [ 114, 0, 0 ], [ 114, 1, 7 ], [ 114, 2, 26 ], [ 114, 3, 34 ], [ 114, 4, 51 ], [ 114, 5, 59 ], [ 114, 6, 86 ], [ 114, 7, 81 ], [ 114, 8, 26 ], [ 114, 9, 45 ], [ 114, 10, 51 ], [ 114, 11, 68 ], [ 114, 12, 86 ], [ 114, 13, 77 ], [ 114, 14, 0 ], [ 114, 15, 23 ], [ 114, 16, 59 ], [ 114, 17, 68 ], [ 114, 18, 81 ], [ 114, 19, 77 ], [ 114, 20, 7 ], [ 114, 21, 23 ], [ 114, 22, 34 ], [ 114, 23, 45 ], [ 114, 24, 25 ], [ 114, 25, 48 ], [ 114, 26, 4 ], [ 114, 27, 56 ], [ 114, 28, 11 ], [ 114, 29, 33 ], [ 114, 30, 68 ], [ 114, 31, 45 ], [ 114, 32, 4 ], [ 114, 33, 81 ], [ 114, 34, 11 ], [ 114, 35, 86 ], [ 114, 36, 68 ], [ 114, 37, 23 ], [ 114, 38, 25 ], [ 114, 39, 77 ], [ 114, 40, 33 ], [ 114, 41, 86 ], [ 114, 42, 45 ], [ 114, 43, 23 ], [ 114, 44, 48 ], [ 114, 45, 77 ], [ 114, 46, 56 ], [ 114, 47, 81 ], [ 114, 48, 33 ], [ 114, 49, 56 ], [ 114, 50, 93 ], [ 114, 51, 48 ], [ 114, 52, 94 ], [ 114, 53, 25 ], [ 114, 54, 59 ], [ 114, 55, 34 ], [ 114, 56, 93 ], [ 114, 57, 7 ], [ 114, 58, 94 ], [ 114, 59, 0 ], [ 114, 60, 59 ], [ 114, 61, 77 ], [ 114, 62, 33 ], [ 114, 63, 23 ], [ 114, 64, 25 ], [ 114, 65, 0 ], [ 114, 66, 34 ], [ 114, 67, 77 ], [ 114, 68, 56 ], [ 114, 69, 23 ], [ 114, 70, 48 ], [ 114, 71, 7 ], [ 114, 72, 11 ], [ 114, 73, 48 ], [ 114, 74, 94 ], [ 114, 75, 56 ], [ 114, 76, 93 ], [ 114, 77, 4 ], [ 114, 78, 51 ], [ 114, 79, 7 ], [ 114, 80, 94 ], [ 114, 81, 34 ], [ 114, 82, 93 ], [ 114, 83, 26 ], [ 114, 84, 51 ], [ 114, 85, 81 ], [ 114, 86, 11 ], [ 114, 87, 45 ], [ 114, 88, 4 ], [ 114, 89, 26 ], [ 114, 90, 7 ], [ 114, 91, 81 ], [ 114, 92, 48 ], [ 114, 93, 45 ], [ 114, 94, 56 ], [ 114, 95, 34 ], [ 114, 96, 4 ], [ 114, 97, 25 ], [ 114, 98, 93 ], [ 114, 99, 33 ], [ 114, 100, 94 ], [ 114, 101, 11 ], [ 114, 102, 26 ], [ 114, 103, 0 ], [ 114, 104, 93 ], [ 114, 105, 59 ], [ 114, 106, 94 ], [ 114, 107, 51 ], [ 114, 108, 26 ], [ 114, 109, 86 ], [ 114, 110, 4 ], [ 114, 111, 68 ], [ 114, 112, 11 ], [ 114, 113, 51 ], [ 114, 114, 0 ], [ 114, 115, 86 ], [ 114, 116, 25 ], [ 114, 117, 68 ], [ 114, 118, 33 ], [ 114, 119, 59 ], [ 115, 0, 0 ], [ 115, 1, 7 ], [ 115, 2, 56 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 5, 29 ], [ 115, 6, 86 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 9, 71 ], [ 115, 10, 25 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 13, 82 ], [ 115, 14, 8 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 17, 45 ], [ 115, 18, 73 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 21, 20 ], [ 115, 22, 59 ], [ 115, 23, 68 ], [ 115, 24, 25 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 27, 8 ], [ 115, 28, 59 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 31, 45 ], [ 115, 32, 7 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 35, 82 ], [ 115, 36, 20 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 39, 73 ], [ 115, 40, 56 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 43, 71 ], [ 115, 44, 29 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 47, 86 ], [ 115, 48, 33 ], [ 115, 49, 56 ], [ 115, 50, 45 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 53, 73 ], [ 115, 54, 59 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 57, 20 ], [ 115, 58, 86 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 61, 29 ], [ 115, 62, 71 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 65, 7 ], [ 115, 66, 82 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 69, 8 ], [ 115, 70, 25 ], [ 115, 71, 0 ], [ 115, 72, 29 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 75, 86 ], [ 115, 76, 20 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 79, 25 ], [ 115, 80, 82 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 83, 71 ], [ 115, 84, 73 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 87, 59 ], [ 115, 88, 8 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 91, 7 ], [ 115, 92, 45 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 95, 56 ], [ 115, 96, 52 ], [ 115, 97, 7 ], [ 115, 98, 71 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 101, 82 ], [ 115, 102, 8 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 105, 45 ], [ 115, 106, 73 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 109, 56 ], [ 115, 110, 20 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 113, 29 ], [ 115, 114, 86 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 117, 25 ], [ 115, 118, 59 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 1, 55 ], [ 116, 2, 26 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 5, 11 ], [ 116, 6, 8 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 9, 67 ], [ 116, 10, 81 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 13, 59 ], [ 116, 14, 74 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 17, 42 ], [ 116, 18, 25 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 21, 23 ], [ 116, 22, 89 ], [ 116, 23, 45 ], [ 116, 24, 25 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 27, 8 ], [ 116, 28, 59 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 31, 11 ], [ 116, 32, 42 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 35, 74 ], [ 116, 36, 55 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 39, 89 ], [ 116, 40, 23 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 43, 26 ], [ 116, 44, 67 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 47, 81 ], [ 116, 48, 85 ], [ 116, 49, 74 ], [ 116, 50, 23 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 53, 55 ], [ 116, 54, 67 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 57, 25 ], [ 116, 58, 89 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 61, 81 ], [ 116, 62, 11 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 65, 26 ], [ 116, 66, 8 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 69, 42 ], [ 116, 70, 59 ], [ 116, 71, 33 ], [ 116, 72, 89 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 75, 26 ], [ 116, 76, 67 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 79, 42 ], [ 116, 80, 81 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 83, 8 ], [ 116, 84, 59 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 87, 23 ], [ 116, 88, 25 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 91, 74 ], [ 116, 92, 55 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 95, 11 ], [ 116, 96, 77 ], [ 116, 97, 81 ], [ 116, 98, 42 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 101, 11 ], [ 116, 102, 23 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 105, 59 ], [ 116, 106, 74 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 109, 89 ], [ 116, 110, 26 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 113, 55 ], [ 116, 114, 25 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 117, 67 ], [ 116, 118, 8 ], [ 116, 119, 52 ], [ 117, 0, 0 ], [ 117, 1, 55 ], [ 117, 2, 8 ], [ 117, 3, 34 ], [ 117, 4, 51 ], [ 117, 5, 29 ], [ 117, 6, 8 ], [ 117, 7, 51 ], [ 117, 8, 0 ], [ 117, 9, 94 ], [ 117, 10, 55 ], [ 117, 11, 90 ], [ 117, 12, 0 ], [ 117, 13, 29 ], [ 117, 14, 8 ], [ 117, 15, 90 ], [ 117, 16, 34 ], [ 117, 17, 94 ], [ 117, 18, 55 ], [ 117, 19, 34 ], [ 117, 20, 51 ], [ 117, 21, 94 ], [ 117, 22, 29 ], [ 117, 23, 90 ], [ 117, 24, 25 ], [ 117, 25, 30 ], [ 117, 26, 52 ], [ 117, 27, 56 ], [ 117, 28, 11 ], [ 117, 29, 3 ], [ 117, 30, 52 ], [ 117, 31, 11 ], [ 117, 32, 25 ], [ 117, 33, 94 ], [ 117, 34, 30 ], [ 117, 35, 90 ], [ 117, 36, 25 ], [ 117, 37, 3 ], [ 117, 38, 52 ], [ 117, 39, 90 ], [ 117, 40, 56 ], [ 117, 41, 94 ], [ 117, 42, 30 ], [ 117, 43, 56 ], [ 117, 44, 11 ], [ 117, 45, 94 ], [ 117, 46, 3 ], [ 117, 47, 90 ], [ 117, 48, 85 ], [ 117, 49, 74 ], [ 117, 50, 67 ], [ 117, 51, 56 ], [ 117, 52, 20 ], [ 117, 53, 3 ], [ 117, 54, 67 ], [ 117, 55, 20 ], [ 117, 56, 85 ], [ 117, 57, 34 ], [ 117, 58, 74 ], [ 117, 59, 29 ], [ 117, 60, 85 ], [ 117, 61, 3 ], [ 117, 62, 67 ], [ 117, 63, 29 ], [ 117, 64, 56 ], [ 117, 65, 34 ], [ 117, 66, 74 ], [ 117, 67, 56 ], [ 117, 68, 20 ], [ 117, 69, 34 ], [ 117, 70, 3 ], [ 117, 71, 29 ], [ 117, 72, 82 ], [ 117, 73, 74 ], [ 117, 74, 46 ], [ 117, 75, 30 ], [ 117, 76, 20 ], [ 117, 77, 11 ], [ 117, 78, 46 ], [ 117, 79, 20 ], [ 117, 80, 82 ], [ 117, 81, 55 ], [ 117, 82, 74 ], [ 117, 83, 51 ], [ 117, 84, 82 ], [ 117, 85, 11 ], [ 117, 86, 46 ], [ 117, 87, 51 ], [ 117, 88, 30 ], [ 117, 89, 55 ], [ 117, 90, 74 ], [ 117, 91, 30 ], [ 117, 92, 20 ], [ 117, 93, 55 ], [ 117, 94, 11 ], [ 117, 95, 51 ], [ 117, 96, 82 ], [ 117, 97, 85 ], [ 117, 98, 46 ], [ 117, 99, 25 ], [ 117, 100, 67 ], [ 117, 101, 52 ], [ 117, 102, 46 ], [ 117, 103, 67 ], [ 117, 104, 82 ], [ 117, 105, 0 ], [ 117, 106, 85 ], [ 117, 107, 8 ], [ 117, 108, 82 ], [ 117, 109, 52 ], [ 117, 110, 46 ], [ 117, 111, 8 ], [ 117, 112, 25 ], [ 117, 113, 0 ], [ 117, 114, 85 ], [ 117, 115, 25 ], [ 117, 116, 67 ], [ 117, 117, 0 ], [ 117, 118, 52 ], [ 117, 119, 8 ], [ 118, 0, 0 ], [ 118, 1, 25 ], [ 118, 2, 56 ], [ 118, 3, 34 ], [ 118, 4, 51 ], [ 118, 5, 11 ], [ 118, 6, 12 ], [ 118, 7, 37 ], [ 118, 8, 86 ], [ 118, 9, 46 ], [ 118, 10, 85 ], [ 118, 11, 23 ], [ 118, 12, 60 ], [ 118, 13, 41 ], [ 118, 14, 74 ], [ 118, 15, 45 ], [ 118, 16, 77 ], [ 118, 17, 67 ], [ 118, 18, 63 ], [ 118, 19, 16 ], [ 118, 20, 81 ], [ 118, 21, 20 ], [ 118, 22, 82 ], [ 118, 23, 68 ], [ 118, 24, 25 ], [ 118, 25, 0 ], [ 118, 26, 34 ], [ 118, 27, 56 ], [ 118, 28, 11 ], [ 118, 29, 51 ], [ 118, 30, 96 ], [ 118, 31, 103 ], [ 118, 32, 68 ], [ 118, 33, 82 ], [ 118, 34, 67 ], [ 118, 35, 77 ], [ 118, 36, 108 ], [ 118, 37, 107 ], [ 118, 38, 20 ], [ 118, 39, 81 ], [ 118, 40, 23 ], [ 118, 41, 85 ], [ 118, 42, 111 ], [ 118, 43, 100 ], [ 118, 44, 45 ], [ 118, 45, 74 ], [ 118, 46, 46 ], [ 118, 47, 86 ], [ 118, 48, 37 ], [ 118, 49, 12 ], [ 118, 50, 46 ], [ 118, 51, 86 ], [ 118, 52, 23 ], [ 118, 53, 85 ], [ 118, 54, 103 ], [ 118, 55, 96 ], [ 118, 56, 82 ], [ 118, 57, 68 ], [ 118, 58, 77 ], [ 118, 59, 67 ], [ 118, 60, 100 ], [ 118, 61, 111 ], [ 118, 62, 16 ], [ 118, 63, 63 ], [ 118, 64, 11 ], [ 118, 65, 51 ], [ 118, 66, 107 ], [ 118, 67, 108 ], [ 118, 68, 41 ], [ 118, 69, 60 ], [ 118, 70, 34 ], [ 118, 71, 56 ], [ 118, 72, 41 ], [ 118, 73, 60 ], [ 118, 74, 45 ], [ 118, 75, 74 ], [ 118, 76, 67 ], [ 118, 77, 77 ], [ 118, 78, 107 ], [ 118, 79, 108 ], [ 118, 80, 81 ], [ 118, 81, 20 ], [ 118, 82, 85 ], [ 118, 83, 23 ], [ 118, 84, 111 ], [ 118, 85, 100 ], [ 118, 86, 63 ], [ 118, 87, 16 ], [ 118, 88, 51 ], [ 118, 89, 11 ], [ 118, 90, 103 ], [ 118, 91, 96 ], [ 118, 92, 37 ], [ 118, 93, 12 ], [ 118, 94, 25 ], [ 118, 95, 0 ], [ 118, 96, 16 ], [ 118, 97, 63 ], [ 118, 98, 20 ], [ 118, 99, 81 ], [ 118, 100, 68 ], [ 118, 101, 82 ], [ 118, 102, 100 ], [ 118, 103, 111 ], [ 118, 104, 74 ], [ 118, 105, 45 ], [ 118, 106, 86 ], [ 118, 107, 46 ], [ 118, 108, 108 ], [ 118, 109, 107 ], [ 118, 110, 60 ], [ 118, 111, 41 ], [ 118, 112, 56 ], [ 118, 113, 34 ], [ 118, 114, 96 ], [ 118, 115, 103 ], [ 118, 116, 12 ], [ 118, 117, 37 ], [ 118, 118, 0 ], [ 118, 119, 25 ], [ 119, 0, 0 ], [ 119, 1, 25 ], [ 119, 2, 8 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 5, 59 ], [ 119, 6, 12 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 9, 90 ], [ 119, 10, 33 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 13, 64 ], [ 119, 14, 0 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 17, 93 ], [ 119, 18, 37 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 21, 94 ], [ 119, 22, 52 ], [ 119, 23, 90 ], [ 119, 24, 25 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 27, 8 ], [ 119, 28, 59 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 31, 103 ], [ 119, 32, 52 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 35, 93 ], [ 119, 36, 96 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 39, 94 ], [ 119, 40, 33 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 43, 112 ], [ 119, 44, 0 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 47, 90 ], [ 119, 48, 37 ], [ 119, 49, 12 ], [ 119, 50, 90 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 53, 33 ], [ 119, 54, 103 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 57, 52 ], [ 119, 58, 93 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 61, 112 ], [ 119, 62, 37 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 65, 59 ], [ 119, 66, 96 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 69, 64 ], [ 119, 70, 8 ], [ 119, 71, 52 ], [ 119, 72, 64 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 75, 0 ], [ 119, 76, 93 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 79, 96 ], [ 119, 80, 94 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 83, 33 ], [ 119, 84, 112 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 87, 37 ], [ 119, 88, 59 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 91, 103 ], [ 119, 92, 12 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 95, 25 ], [ 119, 96, 64 ], [ 119, 97, 37 ], [ 119, 98, 94 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 101, 52 ], [ 119, 102, 112 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 105, 0 ], [ 119, 106, 90 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 109, 96 ], [ 119, 110, 64 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 113, 8 ], [ 119, 114, 103 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 117, 12 ], [ 119, 118, 25 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } }, { "elements": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 23, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 48, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 71, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 96, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 119, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 23, 16 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 48, 8 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 71, 46 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 96, 19 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 23, 7 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 48, 11 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 71, 52 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 96, 20 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 119, 96 ], [ 7, 0, 0 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 23, 0 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 48, 48 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 71, 48 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 96, 52 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 23, 7 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 48, 26 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 71, 3 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 96, 74 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 119, 12 ], [ 11, 0, 0 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 23, 16 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 48, 29 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 71, 89 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 96, 77 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 23, 16 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 48, 86 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 71, 19 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 96, 78 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 119, 8 ], [ 15, 0, 0 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 23, 7 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 48, 38 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 71, 81 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 96, 115 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 23, 0 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 48, 34 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 71, 34 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 96, 103 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 119, 103 ], [ 19, 0, 0 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 23, 7 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 48, 111 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 71, 68 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 96, 116 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 23, 16 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 48, 45 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 71, 74 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 96, 68 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 119, 25 ], [ 23, 0, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 23, 0 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 48, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 71, 33 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 96, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 119, 64 ], [ 25, 0, 0 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 23, 85 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 48, 48 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 71, 3 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 96, 77 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 23, 99 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 48, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 71, 34 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 96, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 119, 37 ], [ 29, 0, 0 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 23, 64 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 48, 111 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 71, 74 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 96, 64 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 23, 85 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 48, 0 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 71, 33 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 96, 103 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 119, 33 ], [ 33, 0, 0 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 23, 64 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 48, 78 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 71, 68 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 96, 0 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 23, 99 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 48, 103 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 71, 0 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 96, 78 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 119, 103 ], [ 37, 0, 0 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 23, 99 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 48, 8 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 71, 89 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 96, 68 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 23, 64 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 48, 60 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 71, 46 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 96, 116 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 119, 25 ], [ 41, 0, 0 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 23, 85 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 48, 108 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 71, 48 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 96, 19 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 23, 64 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 48, 11 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 71, 81 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 96, 74 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 119, 59 ], [ 45, 0, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 23, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 48, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 71, 19 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 96, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 23, 85 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 48, 85 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 71, 52 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 96, 52 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 119, 12 ], [ 48, 0, 0 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 23, 96 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 48, 0 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 71, 52 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 96, 19 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 119, 52 ], [ 51, 0, 0 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 23, 41 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 48, 38 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 71, 19 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 96, 103 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 23, 78 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 48, 45 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 71, 33 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 96, 116 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 119, 112 ], [ 55, 0, 0 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 23, 96 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 48, 48 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 71, 34 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 96, 64 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 23, 78 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 48, 60 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 71, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 96, 68 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 119, 64 ], [ 59, 0, 0 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 23, 41 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 48, 67 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 71, 81 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 96, 52 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 23, 41 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 48, 26 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 71, 68 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 96, 20 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 119, 59 ], [ 63, 0, 0 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 23, 78 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 48, 78 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 71, 74 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 96, 74 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 23, 96 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 48, 42 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 71, 3 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 96, 0 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 119, 96 ], [ 67, 0, 0 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 23, 78 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 48, 29 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 71, 46 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 96, 78 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 23, 41 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 48, 103 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 71, 89 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 96, 115 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 119, 8 ], [ 71, 0, 0 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 23, 96 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 48, 37 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 71, 0 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 96, 77 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 119, 37 ], [ 73, 0, 0 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 23, 56 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 48, 8 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 71, 0 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 96, 20 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 23, 100 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 48, 26 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 71, 89 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 96, 52 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 119, 94 ], [ 77, 0, 0 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 23, 33 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 48, 33 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 71, 68 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 96, 68 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 23, 56 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 48, 86 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 71, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 96, 77 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 119, 93 ], [ 81, 0, 0 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 23, 33 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 48, 78 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 71, 33 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 96, 78 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 23, 100 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 48, 85 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 71, 19 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 96, 74 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 119, 112 ], [ 85, 0, 0 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 23, 100 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 48, 38 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 71, 52 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 96, 116 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 23, 33 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 48, 60 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 71, 81 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 96, 64 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 119, 90 ], [ 89, 0, 0 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 23, 56 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 48, 37 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 71, 46 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 96, 115 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 23, 33 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 48, 34 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 71, 48 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 96, 0 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 119, 33 ], [ 93, 0, 0 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 23, 100 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 48, 108 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 71, 3 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 96, 103 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 23, 56 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 48, 42 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 71, 34 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 96, 19 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 119, 0 ], [ 96, 0, 0 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 23, 90 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 48, 11 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 71, 46 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 96, 0 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 119, 90 ], [ 99, 0, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 23, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 48, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 71, 48 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 96, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 23, 68 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 48, 34 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 71, 81 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 96, 78 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 119, 64 ], [ 103, 0, 0 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 23, 90 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 48, 111 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 71, 3 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 96, 115 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 23, 68 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 48, 103 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 71, 68 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 96, 103 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 119, 94 ], [ 107, 0, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 23, 45 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 48, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 71, 89 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 96, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 23, 45 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 48, 45 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 71, 19 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 96, 19 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 119, 93 ], [ 111, 0, 0 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 23, 68 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 48, 67 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 71, 34 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 96, 68 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 23, 90 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 48, 42 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 71, 74 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 96, 20 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 119, 37 ], [ 115, 0, 0 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 23, 68 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 48, 33 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 71, 0 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 96, 52 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 23, 45 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 48, 85 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 71, 33 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 96, 77 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 119, 52 ], [ 119, 0, 0 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 23, 90 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 48, 37 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 71, 52 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 96, 64 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } } ], "solvable": false, "affine": false } ] }, "alternating": { "version": 160, "parameters": { "coefficients": "16,20,0,0,0,1", "prime": "7", "evidencePrimes": "2,3,5,7,11", "useReal": "yes", "useDiscriminant": "yes", "useConstruction": "yes", "bits": "8" }, "polynomial": { "coefficients": [ 16, 20, 0, 0, 0, 1 ], "degree": 5, "rational": { "bound": 21, "factors": [ [ "16", "20", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "irreducible": true, "searches": [ { "polynomial": [ "16", "20", "0", "0", "0", "1" ], "bound": 21, "linearTrials": [ { "root": "-21", "value": "-4084505" }, { "root": "-20", "value": "-3200384" }, { "root": "-19", "value": "-2476463" }, { "root": "-18", "value": "-1889912" }, { "root": "-17", "value": "-1420181" }, { "root": "-16", "value": "-1048880" }, { "root": "-15", "value": "-759659" }, { "root": "-14", "value": "-538088" }, { "root": "-13", "value": "-371537" }, { "root": "-12", "value": "-249056" }, { "root": "-11", "value": "-161255" }, { "root": "-10", "value": "-100184" }, { "root": "-9", "value": "-59213" }, { "root": "-8", "value": "-32912" }, { "root": "-7", "value": "-16931" }, { "root": "-6", "value": "-7880" }, { "root": "-5", "value": "-3209" }, { "root": "-4", "value": "-1088" }, { "root": "-3", "value": "-287" }, { "root": "-2", "value": "-56" }, { "root": "-1", "value": "-5" }, { "root": "0", "value": "16" }, { "root": "1", "value": "37" }, { "root": "2", "value": "88" }, { "root": "3", "value": "319" }, { "root": "4", "value": "1120" }, { "root": "5", "value": "3241" }, { "root": "6", "value": "7912" }, { "root": "7", "value": "16963" }, { "root": "8", "value": "32944" }, { "root": "9", "value": "59245" }, { "root": "10", "value": "100216" }, { "root": "11", "value": "161287" }, { "root": "12", "value": "249088" }, { "root": "13", "value": "371569" }, { "root": "14", "value": "538120" }, { "root": "15", "value": "759691" }, { "root": "16", "value": "1048912" }, { "root": "17", "value": "1420213" }, { "root": "18", "value": "1889944" }, { "root": "19", "value": "2476495" }, { "root": "20", "value": "3200416" }, { "root": "21", "value": "4084537" } ], "quadraticTrials": [ { "linearCoefficient": -42, "constant": "-1", "remainder": [ "74188", "3117009" ] }, { "linearCoefficient": -42, "constant": "1", "remainder": [ "-73988", "3106425" ] }, { "linearCoefficient": -42, "constant": "-2", "remainder": [ "148528", "3122304" ] }, { "linearCoefficient": -42, "constant": "2", "remainder": [ "-147824", "3101136" ] }, { "linearCoefficient": -42, "constant": "-4", "remainder": [ "297712", "3132900" ] }, { "linearCoefficient": -42, "constant": "4", "remainder": [ "-294992", "3090564" ] }, { "linearCoefficient": -42, "constant": "-8", "remainder": [ "598096", "3154116" ] }, { "linearCoefficient": -42, "constant": "8", "remainder": [ "-587312", "3069444" ] }, { "linearCoefficient": -42, "constant": "-16", "remainder": [ "1206928", "3196644" ] }, { "linearCoefficient": -42, "constant": "16", "remainder": [ "-1163888", "3027300" ] }, { "linearCoefficient": -41, "constant": "-1", "remainder": [ "69019", "2830825" ] }, { "linearCoefficient": -41, "constant": "1", "remainder": [ "-68823", "2820739" ] }, { "linearCoefficient": -41, "constant": "-2", "remainder": [ "138186", "2835871" ] }, { "linearCoefficient": -41, "constant": "2", "remainder": [ "-137498", "2815699" ] }, { "linearCoefficient": -41, "constant": "-4", "remainder": [ "277012", "2845969" ] }, { "linearCoefficient": -41, "constant": "4", "remainder": [ "-274356", "2805625" ] }, { "linearCoefficient": -41, "constant": "-8", "remainder": [ "556632", "2866189" ] }, { "linearCoefficient": -41, "constant": "8", "remainder": [ "-546104", "2785501" ] }, { "linearCoefficient": -41, "constant": "-16", "remainder": [ "1123744", "2906725" ] }, { "linearCoefficient": -41, "constant": "16", "remainder": [ "-1081728", "2745349" ] }, { "linearCoefficient": -40, "constant": "-1", "remainder": [ "64096", "2564821" ] }, { "linearCoefficient": -40, "constant": "1", "remainder": [ "-63904", "2555221" ] }, { "linearCoefficient": -40, "constant": "-2", "remainder": [ "128336", "2569624" ] }, { "linearCoefficient": -40, "constant": "2", "remainder": [ "-127664", "2550424" ] }, { "linearCoefficient": -40, "constant": "-4", "remainder": [ "257296", "2579236" ] }, { "linearCoefficient": -40, "constant": "4", "remainder": [ "-254704", "2540836" ] }, { "linearCoefficient": -40, "constant": "-8", "remainder": [ "517136", "2598484" ] }, { "linearCoefficient": -40, "constant": "8", "remainder": [ "-506864", "2521684" ] }, { "linearCoefficient": -40, "constant": "-16", "remainder": [ "1044496", "2637076" ] }, { "linearCoefficient": -40, "constant": "16", "remainder": [ "-1003504", "2483476" ] }, { "linearCoefficient": -39, "constant": "-1", "remainder": [ "59413", "2318025" ] }, { "linearCoefficient": -39, "constant": "1", "remainder": [ "-59225", "2308899" ] }, { "linearCoefficient": -39, "constant": "-2", "remainder": [ "118966", "2322591" ] }, { "linearCoefficient": -39, "constant": "2", "remainder": [ "-118310", "2304339" ] }, { "linearCoefficient": -39, "constant": "-4", "remainder": [ "238540", "2331729" ] }, { "linearCoefficient": -39, "constant": "4", "remainder": [ "-236012", "2295225" ] }, { "linearCoefficient": -39, "constant": "-8", "remainder": [ "479560", "2350029" ] }, { "linearCoefficient": -39, "constant": "8", "remainder": [ "-469544", "2277021" ] }, { "linearCoefficient": -39, "constant": "-16", "remainder": [ "969088", "2386725" ] }, { "linearCoefficient": -39, "constant": "16", "remainder": [ "-929120", "2240709" ] }, { "linearCoefficient": -38, "constant": "-1", "remainder": [ "54964", "2089489" ] }, { "linearCoefficient": -38, "constant": "1", "remainder": [ "-54780", "2080825" ] }, { "linearCoefficient": -38, "constant": "-2", "remainder": [ "110064", "2093824" ] }, { "linearCoefficient": -38, "constant": "2", "remainder": [ "-109424", "2076496" ] }, { "linearCoefficient": -38, "constant": "-4", "remainder": [ "220720", "2102500" ] }, { "linearCoefficient": -38, "constant": "4", "remainder": [ "-218256", "2067844" ] }, { "linearCoefficient": -38, "constant": "-8", "remainder": [ "443856", "2119876" ] }, { "linearCoefficient": -38, "constant": "8", "remainder": [ "-434096", "2050564" ] }, { "linearCoefficient": -38, "constant": "-16", "remainder": [ "897424", "2154724" ] }, { "linearCoefficient": -38, "constant": "16", "remainder": [ "-858480", "2016100" ] }, { "linearCoefficient": -37, "constant": "-1", "remainder": [ "50743", "1878289" ] }, { "linearCoefficient": -37, "constant": "1", "remainder": [ "-50563", "1870075" ] }, { "linearCoefficient": -37, "constant": "-2", "remainder": [ "101618", "1882399" ] }, { "linearCoefficient": -37, "constant": "2", "remainder": [ "-100994", "1865971" ] }, { "linearCoefficient": -37, "constant": "-4", "remainder": [ "203812", "1890625" ] }, { "linearCoefficient": -37, "constant": "4", "remainder": [ "-201412", "1857769" ] }, { "linearCoefficient": -37, "constant": "-8", "remainder": [ "409976", "1907101" ] }, { "linearCoefficient": -37, "constant": "8", "remainder": [ "-400472", "1841389" ] }, { "linearCoefficient": -37, "constant": "-16", "remainder": [ "829408", "1940149" ] }, { "linearCoefficient": -37, "constant": "16", "remainder": [ "-791488", "1808725" ] }, { "linearCoefficient": -36, "constant": "-1", "remainder": [ "46744", "1683525" ] }, { "linearCoefficient": -36, "constant": "1", "remainder": [ "-46568", "1675749" ] }, { "linearCoefficient": -36, "constant": "-2", "remainder": [ "93616", "1687416" ] }, { "linearCoefficient": -36, "constant": "2", "remainder": [ "-93008", "1671864" ] }, { "linearCoefficient": -36, "constant": "-4", "remainder": [ "187792", "1695204" ] }, { "linearCoefficient": -36, "constant": "4", "remainder": [ "-185456", "1664100" ] }, { "linearCoefficient": -36, "constant": "-8", "remainder": [ "377872", "1710804" ] }, { "linearCoefficient": -36, "constant": "8", "remainder": [ "-368624", "1648596" ] }, { "linearCoefficient": -36, "constant": "-16", "remainder": [ "764944", "1742100" ] }, { "linearCoefficient": -36, "constant": "16", "remainder": [ "-728048", "1617684" ] }, { "linearCoefficient": -35, "constant": "-1", "remainder": [ "42961", "1504321" ] }, { "linearCoefficient": -35, "constant": "1", "remainder": [ "-42789", "1496971" ] }, { "linearCoefficient": -35, "constant": "-2", "remainder": [ "86046", "1507999" ] }, { "linearCoefficient": -35, "constant": "2", "remainder": [ "-85454", "1493299" ] }, { "linearCoefficient": -35, "constant": "-4", "remainder": [ "172636", "1515361" ] }, { "linearCoefficient": -35, "constant": "4", "remainder": [ "-170364", "1485961" ] }, { "linearCoefficient": -35, "constant": "-8", "remainder": [ "347496", "1530109" ] }, { "linearCoefficient": -35, "constant": "8", "remainder": [ "-338504", "1471309" ] }, { "linearCoefficient": -35, "constant": "-16", "remainder": [ "703936", "1559701" ] }, { "linearCoefficient": -35, "constant": "16", "remainder": [ "-668064", "1442101" ] }, { "linearCoefficient": -34, "constant": "-1", "remainder": [ "39388", "1339825" ] }, { "linearCoefficient": -34, "constant": "1", "remainder": [ "-39220", "1332889" ] }, { "linearCoefficient": -34, "constant": "-2", "remainder": [ "78896", "1343296" ] }, { "linearCoefficient": -34, "constant": "2", "remainder": [ "-78320", "1329424" ] }, { "linearCoefficient": -34, "constant": "-4", "remainder": [ "158320", "1350244" ] }, { "linearCoefficient": -34, "constant": "4", "remainder": [ "-156112", "1322500" ] }, { "linearCoefficient": -34, "constant": "-8", "remainder": [ "318800", "1364164" ] }, { "linearCoefficient": -34, "constant": "8", "remainder": [ "-310064", "1308676" ] }, { "linearCoefficient": -34, "constant": "-16", "remainder": [ "646288", "1392100" ] }, { "linearCoefficient": -34, "constant": "16", "remainder": [ "-611440", "1281124" ] }, { "linearCoefficient": -33, "constant": "-1", "remainder": [ "36019", "1189209" ] }, { "linearCoefficient": -33, "constant": "1", "remainder": [ "-35855", "1182675" ] }, { "linearCoefficient": -33, "constant": "-2", "remainder": [ "72154", "1192479" ] }, { "linearCoefficient": -33, "constant": "2", "remainder": [ "-71594", "1179411" ] }, { "linearCoefficient": -33, "constant": "-4", "remainder": [ "144820", "1199025" ] }, { "linearCoefficient": -33, "constant": "4", "remainder": [ "-142676", "1172889" ] }, { "linearCoefficient": -33, "constant": "-8", "remainder": [ "291736", "1212141" ] }, { "linearCoefficient": -33, "constant": "8", "remainder": [ "-283256", "1159869" ] }, { "linearCoefficient": -33, "constant": "-16", "remainder": [ "591904", "1238469" ] }, { "linearCoefficient": -33, "constant": "16", "remainder": [ "-558080", "1133925" ] }, { "linearCoefficient": -32, "constant": "-1", "remainder": [ "32848", "1051669" ] }, { "linearCoefficient": -32, "constant": "1", "remainder": [ "-32688", "1045525" ] }, { "linearCoefficient": -32, "constant": "-2", "remainder": [ "65808", "1054744" ] }, { "linearCoefficient": -32, "constant": "2", "remainder": [ "-65264", "1042456" ] }, { "linearCoefficient": -32, "constant": "-4", "remainder": [ "132112", "1060900" ] }, { "linearCoefficient": -32, "constant": "4", "remainder": [ "-130032", "1036324" ] }, { "linearCoefficient": -32, "constant": "-8", "remainder": [ "266256", "1073236" ] }, { "linearCoefficient": -32, "constant": "8", "remainder": [ "-258032", "1024084" ] }, { "linearCoefficient": -32, "constant": "-16", "remainder": [ "540688", "1098004" ] }, { "linearCoefficient": -32, "constant": "16", "remainder": [ "-507888", "999700" ] }, { "linearCoefficient": -31, "constant": "-1", "remainder": [ "29869", "926425" ] }, { "linearCoefficient": -31, "constant": "1", "remainder": [ "-29713", "920659" ] }, { "linearCoefficient": -31, "constant": "-2", "remainder": [ "59846", "929311" ] }, { "linearCoefficient": -31, "constant": "2", "remainder": [ "-59318", "917779" ] }, { "linearCoefficient": -31, "constant": "-4", "remainder": [ "120172", "935089" ] }, { "linearCoefficient": -31, "constant": "4", "remainder": [ "-118156", "912025" ] }, { "linearCoefficient": -31, "constant": "-8", "remainder": [ "242312", "946669" ] }, { "linearCoefficient": -31, "constant": "8", "remainder": [ "-234344", "900541" ] }, { "linearCoefficient": -31, "constant": "-16", "remainder": [ "492544", "969925" ] }, { "linearCoefficient": -31, "constant": "16", "remainder": [ "-460768", "877669" ] }, { "linearCoefficient": -30, "constant": "-1", "remainder": [ "27076", "812721" ] }, { "linearCoefficient": -30, "constant": "1", "remainder": [ "-26924", "807321" ] }, { "linearCoefficient": -30, "constant": "-2", "remainder": [ "54256", "815424" ] }, { "linearCoefficient": -30, "constant": "2", "remainder": [ "-53744", "804624" ] }, { "linearCoefficient": -30, "constant": "-4", "remainder": [ "108976", "820836" ] }, { "linearCoefficient": -30, "constant": "4", "remainder": [ "-107024", "799236" ] }, { "linearCoefficient": -30, "constant": "-8", "remainder": [ "219856", "831684" ] }, { "linearCoefficient": -30, "constant": "8", "remainder": [ "-212144", "788484" ] }, { "linearCoefficient": -30, "constant": "-16", "remainder": [ "447376", "853476" ] }, { "linearCoefficient": -30, "constant": "16", "remainder": [ "-416624", "767076" ] }, { "linearCoefficient": -29, "constant": "-1", "remainder": [ "24463", "709825" ] }, { "linearCoefficient": -29, "constant": "1", "remainder": [ "-24315", "704779" ] }, { "linearCoefficient": -29, "constant": "-2", "remainder": [ "49026", "712351" ] }, { "linearCoefficient": -29, "constant": "2", "remainder": [ "-48530", "702259" ] }, { "linearCoefficient": -29, "constant": "-4", "remainder": [ "98500", "717409" ] }, { "linearCoefficient": -29, "constant": "4", "remainder": [ "-96612", "697225" ] }, { "linearCoefficient": -29, "constant": "-8", "remainder": [ "198840", "727549" ] }, { "linearCoefficient": -29, "constant": "8", "remainder": [ "-191384", "687181" ] }, { "linearCoefficient": -29, "constant": "-16", "remainder": [ "405088", "747925" ] }, { "linearCoefficient": -29, "constant": "16", "remainder": [ "-375360", "667189" ] }, { "linearCoefficient": -28, "constant": "-1", "remainder": [ "22024", "617029" ] }, { "linearCoefficient": -28, "constant": "1", "remainder": [ "-21880", "612325" ] }, { "linearCoefficient": -28, "constant": "-2", "remainder": [ "44144", "619384" ] }, { "linearCoefficient": -28, "constant": "2", "remainder": [ "-43664", "609976" ] }, { "linearCoefficient": -28, "constant": "-4", "remainder": [ "88720", "624100" ] }, { "linearCoefficient": -28, "constant": "4", "remainder": [ "-86896", "605284" ] }, { "linearCoefficient": -28, "constant": "-8", "remainder": [ "179216", "633556" ] }, { "linearCoefficient": -28, "constant": "8", "remainder": [ "-172016", "595924" ] }, { "linearCoefficient": -28, "constant": "-16", "remainder": [ "365584", "652564" ] }, { "linearCoefficient": -28, "constant": "16", "remainder": [ "-336880", "577300" ] }, { "linearCoefficient": -27, "constant": "-1", "remainder": [ "19753", "533649" ] }, { "linearCoefficient": -27, "constant": "1", "remainder": [ "-19613", "529275" ] }, { "linearCoefficient": -27, "constant": "-2", "remainder": [ "39598", "535839" ] }, { "linearCoefficient": -27, "constant": "2", "remainder": [ "-39134", "527091" ] }, { "linearCoefficient": -27, "constant": "-4", "remainder": [ "79612", "540225" ] }, { "linearCoefficient": -27, "constant": "4", "remainder": [ "-77852", "522729" ] }, { "linearCoefficient": -27, "constant": "-8", "remainder": [ "160936", "549021" ] }, { "linearCoefficient": -27, "constant": "8", "remainder": [ "-153992", "514029" ] }, { "linearCoefficient": -27, "constant": "-16", "remainder": [ "328768", "566709" ] }, { "linearCoefficient": -27, "constant": "16", "remainder": [ "-301088", "496725" ] }, { "linearCoefficient": -26, "constant": "-1", "remainder": [ "17644", "459025" ] }, { "linearCoefficient": -26, "constant": "1", "remainder": [ "-17508", "454969" ] }, { "linearCoefficient": -26, "constant": "-2", "remainder": [ "35376", "461056" ] }, { "linearCoefficient": -26, "constant": "2", "remainder": [ "-34928", "452944" ] }, { "linearCoefficient": -26, "constant": "-4", "remainder": [ "71152", "465124" ] }, { "linearCoefficient": -26, "constant": "4", "remainder": [ "-69456", "448900" ] }, { "linearCoefficient": -26, "constant": "-8", "remainder": [ "143952", "473284" ] }, { "linearCoefficient": -26, "constant": "8", "remainder": [ "-137264", "440836" ] }, { "linearCoefficient": -26, "constant": "-16", "remainder": [ "294544", "489700" ] }, { "linearCoefficient": -26, "constant": "16", "remainder": [ "-267888", "424804" ] }, { "linearCoefficient": -25, "constant": "-1", "remainder": [ "15691", "392521" ] }, { "linearCoefficient": -25, "constant": "1", "remainder": [ "-15559", "388771" ] }, { "linearCoefficient": -25, "constant": "-2", "remainder": [ "31466", "394399" ] }, { "linearCoefficient": -25, "constant": "2", "remainder": [ "-31034", "386899" ] }, { "linearCoefficient": -25, "constant": "-4", "remainder": [ "63316", "398161" ] }, { "linearCoefficient": -25, "constant": "4", "remainder": [ "-61684", "383161" ] }, { "linearCoefficient": -25, "constant": "-8", "remainder": [ "128216", "405709" ] }, { "linearCoefficient": -25, "constant": "8", "remainder": [ "-121784", "375709" ] }, { "linearCoefficient": -25, "constant": "-16", "remainder": [ "262816", "420901" ] }, { "linearCoefficient": -25, "constant": "16", "remainder": [ "-237184", "360901" ] }, { "linearCoefficient": -24, "constant": "-1", "remainder": [ "13888", "333525" ] }, { "linearCoefficient": -24, "constant": "1", "remainder": [ "-13760", "330069" ] }, { "linearCoefficient": -24, "constant": "-2", "remainder": [ "27856", "335256" ] }, { "linearCoefficient": -24, "constant": "2", "remainder": [ "-27440", "328344" ] }, { "linearCoefficient": -24, "constant": "-4", "remainder": [ "56080", "338724" ] }, { "linearCoefficient": -24, "constant": "4", "remainder": [ "-54512", "324900" ] }, { "linearCoefficient": -24, "constant": "-8", "remainder": [ "113680", "345684" ] }, { "linearCoefficient": -24, "constant": "8", "remainder": [ "-107504", "318036" ] }, { "linearCoefficient": -24, "constant": "-16", "remainder": [ "233488", "359700" ] }, { "linearCoefficient": -24, "constant": "16", "remainder": [ "-208880", "304404" ] }, { "linearCoefficient": -23, "constant": "-1", "remainder": [ "12229", "281449" ] }, { "linearCoefficient": -23, "constant": "1", "remainder": [ "-12105", "278275" ] }, { "linearCoefficient": -23, "constant": "-2", "remainder": [ "24534", "283039" ] }, { "linearCoefficient": -23, "constant": "2", "remainder": [ "-24134", "276691" ] }, { "linearCoefficient": -23, "constant": "-4", "remainder": [ "49420", "286225" ] }, { "linearCoefficient": -23, "constant": "4", "remainder": [ "-47916", "273529" ] }, { "linearCoefficient": -23, "constant": "-8", "remainder": [ "100296", "292621" ] }, { "linearCoefficient": -23, "constant": "8", "remainder": [ "-94376", "267229" ] }, { "linearCoefficient": -23, "constant": "-16", "remainder": [ "206464", "305509" ] }, { "linearCoefficient": -23, "constant": "16", "remainder": [ "-182880", "254725" ] }, { "linearCoefficient": -22, "constant": "-1", "remainder": [ "10708", "235729" ] }, { "linearCoefficient": -22, "constant": "1", "remainder": [ "-10588", "232825" ] }, { "linearCoefficient": -22, "constant": "-2", "remainder": [ "21488", "237184" ] }, { "linearCoefficient": -22, "constant": "2", "remainder": [ "-21104", "231376" ] }, { "linearCoefficient": -22, "constant": "-4", "remainder": [ "43312", "240100" ] }, { "linearCoefficient": -22, "constant": "4", "remainder": [ "-41872", "228484" ] }, { "linearCoefficient": -22, "constant": "-8", "remainder": [ "88016", "245956" ] }, { "linearCoefficient": -22, "constant": "8", "remainder": [ "-82352", "222724" ] }, { "linearCoefficient": -22, "constant": "-16", "remainder": [ "181648", "257764" ] }, { "linearCoefficient": -22, "constant": "16", "remainder": [ "-159088", "211300" ] }, { "linearCoefficient": -21, "constant": "-1", "remainder": [ "9319", "195825" ] }, { "linearCoefficient": -21, "constant": "1", "remainder": [ "-9203", "193179" ] }, { "linearCoefficient": -21, "constant": "-2", "remainder": [ "18706", "197151" ] }, { "linearCoefficient": -21, "constant": "2", "remainder": [ "-18338", "191859" ] }, { "linearCoefficient": -21, "constant": "-4", "remainder": [ "37732", "199809" ] }, { "linearCoefficient": -21, "constant": "4", "remainder": [ "-36356", "189225" ] }, { "linearCoefficient": -21, "constant": "-8", "remainder": [ "76792", "205149" ] }, { "linearCoefficient": -21, "constant": "8", "remainder": [ "-71384", "183981" ] }, { "linearCoefficient": -21, "constant": "-16", "remainder": [ "158944", "215925" ] }, { "linearCoefficient": -21, "constant": "16", "remainder": [ "-137408", "173589" ] }, { "linearCoefficient": -20, "constant": "-1", "remainder": [ "8056", "161221" ] }, { "linearCoefficient": -20, "constant": "1", "remainder": [ "-7944", "158821" ] }, { "linearCoefficient": -20, "constant": "-2", "remainder": [ "16176", "162424" ] }, { "linearCoefficient": -20, "constant": "2", "remainder": [ "-15824", "157624" ] }, { "linearCoefficient": -20, "constant": "-4", "remainder": [ "32656", "164836" ] }, { "linearCoefficient": -20, "constant": "4", "remainder": [ "-31344", "155236" ] }, { "linearCoefficient": -20, "constant": "-8", "remainder": [ "66576", "169684" ] }, { "linearCoefficient": -20, "constant": "8", "remainder": [ "-61424", "150484" ] }, { "linearCoefficient": -20, "constant": "-16", "remainder": [ "138256", "179476" ] }, { "linearCoefficient": -20, "constant": "16", "remainder": [ "-117744", "141076" ] }, { "linearCoefficient": -19, "constant": "-1", "remainder": [ "6913", "131425" ] }, { "linearCoefficient": -19, "constant": "1", "remainder": [ "-6805", "129259" ] }, { "linearCoefficient": -19, "constant": "-2", "remainder": [ "13886", "132511" ] }, { "linearCoefficient": -19, "constant": "2", "remainder": [ "-13550", "128179" ] }, { "linearCoefficient": -19, "constant": "-4", "remainder": [ "28060", "134689" ] }, { "linearCoefficient": -19, "constant": "4", "remainder": [ "-26812", "126025" ] }, { "linearCoefficient": -19, "constant": "-8", "remainder": [ "57320", "139069" ] }, { "linearCoefficient": -19, "constant": "8", "remainder": [ "-52424", "121741" ] }, { "linearCoefficient": -19, "constant": "-16", "remainder": [ "119488", "147925" ] }, { "linearCoefficient": -19, "constant": "16", "remainder": [ "-100000", "113269" ] }, { "linearCoefficient": -18, "constant": "-1", "remainder": [ "5884", "105969" ] }, { "linearCoefficient": -18, "constant": "1", "remainder": [ "-5780", "104025" ] }, { "linearCoefficient": -18, "constant": "-2", "remainder": [ "11824", "106944" ] }, { "linearCoefficient": -18, "constant": "2", "remainder": [ "-11504", "103056" ] }, { "linearCoefficient": -18, "constant": "-4", "remainder": [ "23920", "108900" ] }, { "linearCoefficient": -18, "constant": "4", "remainder": [ "-22736", "101124" ] }, { "linearCoefficient": -18, "constant": "-8", "remainder": [ "48976", "112836" ] }, { "linearCoefficient": -18, "constant": "8", "remainder": [ "-44336", "97284" ] }, { "linearCoefficient": -18, "constant": "-16", "remainder": [ "102544", "120804" ] }, { "linearCoefficient": -18, "constant": "16", "remainder": [ "-84080", "89700" ] }, { "linearCoefficient": -17, "constant": "-1", "remainder": [ "4963", "84409" ] }, { "linearCoefficient": -17, "constant": "1", "remainder": [ "-4863", "82675" ] }, { "linearCoefficient": -17, "constant": "-2", "remainder": [ "9978", "85279" ] }, { "linearCoefficient": -17, "constant": "2", "remainder": [ "-9674", "81811" ] }, { "linearCoefficient": -17, "constant": "-4", "remainder": [ "20212", "87025" ] }, { "linearCoefficient": -17, "constant": "4", "remainder": [ "-19092", "80089" ] }, { "linearCoefficient": -17, "constant": "-8", "remainder": [ "41496", "90541" ] }, { "linearCoefficient": -17, "constant": "8", "remainder": [ "-37112", "76669" ] }, { "linearCoefficient": -17, "constant": "-16", "remainder": [ "87328", "97669" ] }, { "linearCoefficient": -17, "constant": "16", "remainder": [ "-69888", "69925" ] }, { "linearCoefficient": -16, "constant": "-1", "remainder": [ "4144", "66325" ] }, { "linearCoefficient": -16, "constant": "1", "remainder": [ "-4048", "64789" ] }, { "linearCoefficient": -16, "constant": "-2", "remainder": [ "8336", "67096" ] }, { "linearCoefficient": -16, "constant": "2", "remainder": [ "-8048", "64024" ] }, { "linearCoefficient": -16, "constant": "-4", "remainder": [ "16912", "68644" ] }, { "linearCoefficient": -16, "constant": "4", "remainder": [ "-15856", "62500" ] }, { "linearCoefficient": -16, "constant": "-8", "remainder": [ "34832", "71764" ] }, { "linearCoefficient": -16, "constant": "8", "remainder": [ "-30704", "59476" ] }, { "linearCoefficient": -16, "constant": "-16", "remainder": [ "73744", "78100" ] }, { "linearCoefficient": -16, "constant": "16", "remainder": [ "-57328", "53524" ] }, { "linearCoefficient": -15, "constant": "-1", "remainder": [ "3421", "51321" ] }, { "linearCoefficient": -15, "constant": "1", "remainder": [ "-3329", "49971" ] }, { "linearCoefficient": -15, "constant": "-2", "remainder": [ "6886", "51999" ] }, { "linearCoefficient": -15, "constant": "2", "remainder": [ "-6614", "49299" ] }, { "linearCoefficient": -15, "constant": "-4", "remainder": [ "13996", "53361" ] }, { "linearCoefficient": -15, "constant": "4", "remainder": [ "-13004", "47961" ] }, { "linearCoefficient": -15, "constant": "-8", "remainder": [ "28936", "56109" ] }, { "linearCoefficient": -15, "constant": "8", "remainder": [ "-25064", "45309" ] }, { "linearCoefficient": -15, "constant": "-16", "remainder": [ "61696", "61701" ] }, { "linearCoefficient": -15, "constant": "16", "remainder": [ "-46304", "40101" ] }, { "linearCoefficient": -14, "constant": "-1", "remainder": [ "2788", "39025" ] }, { "linearCoefficient": -14, "constant": "1", "remainder": [ "-2700", "37849" ] }, { "linearCoefficient": -14, "constant": "-2", "remainder": [ "5616", "39616" ] }, { "linearCoefficient": -14, "constant": "2", "remainder": [ "-5360", "37264" ] }, { "linearCoefficient": -14, "constant": "-4", "remainder": [ "11440", "40804" ] }, { "linearCoefficient": -14, "constant": "4", "remainder": [ "-10512", "36100" ] }, { "linearCoefficient": -14, "constant": "-8", "remainder": [ "23760", "43204" ] }, { "linearCoefficient": -14, "constant": "8", "remainder": [ "-20144", "33796" ] }, { "linearCoefficient": -14, "constant": "-16", "remainder": [ "51088", "48100" ] }, { "linearCoefficient": -14, "constant": "16", "remainder": [ "-36720", "29284" ] }, { "linearCoefficient": -13, "constant": "-1", "remainder": [ "2239", "29089" ] }, { "linearCoefficient": -13, "constant": "1", "remainder": [ "-2155", "28075" ] }, { "linearCoefficient": -13, "constant": "-2", "remainder": [ "4514", "29599" ] }, { "linearCoefficient": -13, "constant": "2", "remainder": [ "-4274", "27571" ] }, { "linearCoefficient": -13, "constant": "-4", "remainder": [ "9220", "30625" ] }, { "linearCoefficient": -13, "constant": "4", "remainder": [ "-8356", "26569" ] }, { "linearCoefficient": -13, "constant": "-8", "remainder": [ "19256", "32701" ] }, { "linearCoefficient": -13, "constant": "8", "remainder": [ "-15896", "24589" ] }, { "linearCoefficient": -13, "constant": "-16", "remainder": [ "41824", "36949" ] }, { "linearCoefficient": -13, "constant": "16", "remainder": [ "-28480", "20725" ] }, { "linearCoefficient": -12, "constant": "-1", "remainder": [ "1768", "21189" ] }, { "linearCoefficient": -12, "constant": "1", "remainder": [ "-1688", "20325" ] }, { "linearCoefficient": -12, "constant": "-2", "remainder": [ "3568", "21624" ] }, { "linearCoefficient": -12, "constant": "2", "remainder": [ "-3344", "19896" ] }, { "linearCoefficient": -12, "constant": "-4", "remainder": [ "7312", "22500" ] }, { "linearCoefficient": -12, "constant": "4", "remainder": [ "-6512", "19044" ] }, { "linearCoefficient": -12, "constant": "-8", "remainder": [ "15376", "24276" ] }, { "linearCoefficient": -12, "constant": "8", "remainder": [ "-12272", "17364" ] }, { "linearCoefficient": -12, "constant": "-16", "remainder": [ "33808", "27924" ] }, { "linearCoefficient": -12, "constant": "16", "remainder": [ "-21488", "14100" ] }, { "linearCoefficient": -11, "constant": "-1", "remainder": [ "1369", "15025" ] }, { "linearCoefficient": -11, "constant": "1", "remainder": [ "-1293", "14299" ] }, { "linearCoefficient": -11, "constant": "-2", "remainder": [ "2766", "15391" ] }, { "linearCoefficient": -11, "constant": "2", "remainder": [ "-2558", "13939" ] }, { "linearCoefficient": -11, "constant": "-4", "remainder": [ "5692", "16129" ] }, { "linearCoefficient": -11, "constant": "4", "remainder": [ "-4956", "13225" ] }, { "linearCoefficient": -11, "constant": "-8", "remainder": [ "12072", "17629" ] }, { "linearCoefficient": -11, "constant": "8", "remainder": [ "-9224", "11821" ] }, { "linearCoefficient": -11, "constant": "-16", "remainder": [ "26944", "20725" ] }, { "linearCoefficient": -11, "constant": "16", "remainder": [ "-15648", "9109" ] }, { "linearCoefficient": -10, "constant": "-1", "remainder": [ "1036", "10321" ] }, { "linearCoefficient": -10, "constant": "1", "remainder": [ "-964", "9721" ] }, { "linearCoefficient": -10, "constant": "-2", "remainder": [ "2096", "10624" ] }, { "linearCoefficient": -10, "constant": "2", "remainder": [ "-1904", "9424" ] }, { "linearCoefficient": -10, "constant": "-4", "remainder": [ "4336", "11236" ] }, { "linearCoefficient": -10, "constant": "4", "remainder": [ "-3664", "8836" ] }, { "linearCoefficient": -10, "constant": "-8", "remainder": [ "9296", "12484" ] }, { "linearCoefficient": -10, "constant": "8", "remainder": [ "-6704", "7684" ] }, { "linearCoefficient": -10, "constant": "-16", "remainder": [ "21136", "15076" ] }, { "linearCoefficient": -10, "constant": "16", "remainder": [ "-10864", "5476" ] }, { "linearCoefficient": -9, "constant": "-1", "remainder": [ "763", "6825" ] }, { "linearCoefficient": -9, "constant": "1", "remainder": [ "-695", "6339" ] }, { "linearCoefficient": -9, "constant": "-2", "remainder": [ "1546", "7071" ] }, { "linearCoefficient": -9, "constant": "2", "remainder": [ "-1370", "6099" ] }, { "linearCoefficient": -9, "constant": "-4", "remainder": [ "3220", "7569" ] }, { "linearCoefficient": -9, "constant": "4", "remainder": [ "-2612", "5625" ] }, { "linearCoefficient": -9, "constant": "-8", "remainder": [ "7000", "8589" ] }, { "linearCoefficient": -9, "constant": "8", "remainder": [ "-4664", "4701" ] }, { "linearCoefficient": -9, "constant": "-16", "remainder": [ "16288", "10725" ] }, { "linearCoefficient": -9, "constant": "16", "remainder": [ "-7040", "2949" ] }, { "linearCoefficient": -8, "constant": "-1", "remainder": [ "544", "4309" ] }, { "linearCoefficient": -8, "constant": "1", "remainder": [ "-480", "3925" ] }, { "linearCoefficient": -8, "constant": "-2", "remainder": [ "1104", "4504" ] }, { "linearCoefficient": -8, "constant": "2", "remainder": [ "-944", "3736" ] }, { "linearCoefficient": -8, "constant": "-4", "remainder": [ "2320", "4900" ] }, { "linearCoefficient": -8, "constant": "4", "remainder": [ "-1776", "3364" ] }, { "linearCoefficient": -8, "constant": "-8", "remainder": [ "5136", "5716" ] }, { "linearCoefficient": -8, "constant": "8", "remainder": [ "-3056", "2644" ] }, { "linearCoefficient": -8, "constant": "-16", "remainder": [ "12304", "7444" ] }, { "linearCoefficient": -8, "constant": "16", "remainder": [ "-4080", "1300" ] }, { "linearCoefficient": -7, "constant": "-1", "remainder": [ "373", "2569" ] }, { "linearCoefficient": -7, "constant": "1", "remainder": [ "-313", "2275" ] }, { "linearCoefficient": -7, "constant": "-2", "remainder": [ "758", "2719" ] }, { "linearCoefficient": -7, "constant": "2", "remainder": [ "-614", "2131" ] }, { "linearCoefficient": -7, "constant": "-4", "remainder": [ "1612", "3025" ] }, { "linearCoefficient": -7, "constant": "4", "remainder": [ "-1132", "1849" ] }, { "linearCoefficient": -7, "constant": "-8", "remainder": [ "3656", "3661" ] }, { "linearCoefficient": -7, "constant": "8", "remainder": [ "-1832", "1309" ] }, { "linearCoefficient": -7, "constant": "-16", "remainder": [ "9088", "5029" ] }, { "linearCoefficient": -7, "constant": "16", "remainder": [ "-1888", "325" ] }, { "linearCoefficient": -6, "constant": "-1", "remainder": [ "244", "1425" ] }, { "linearCoefficient": -6, "constant": "1", "remainder": [ "-188", "1209" ] }, { "linearCoefficient": -6, "constant": "-2", "remainder": [ "496", "1536" ] }, { "linearCoefficient": -6, "constant": "2", "remainder": [ "-368", "1104" ] }, { "linearCoefficient": -6, "constant": "-4", "remainder": [ "1072", "1764" ] }, { "linearCoefficient": -6, "constant": "4", "remainder": [ "-656", "900" ] }, { "linearCoefficient": -6, "constant": "-8", "remainder": [ "2512", "2244" ] }, { "linearCoefficient": -6, "constant": "8", "remainder": [ "-944", "516" ] }, { "linearCoefficient": -6, "constant": "-16", "remainder": [ "6544", "3300" ] }, { "linearCoefficient": -6, "constant": "16", "remainder": [ "-368", "-156" ] }, { "linearCoefficient": -5, "constant": "-1", "remainder": [ "151", "721" ] }, { "linearCoefficient": -5, "constant": "1", "remainder": [ "-99", "571" ] }, { "linearCoefficient": -5, "constant": "-2", "remainder": [ "306", "799" ] }, { "linearCoefficient": -5, "constant": "2", "remainder": [ "-194", "499" ] }, { "linearCoefficient": -5, "constant": "-4", "remainder": [ "676", "961" ] }, { "linearCoefficient": -5, "constant": "4", "remainder": [ "-324", "361" ] }, { "linearCoefficient": -5, "constant": "-8", "remainder": [ "1656", "1309" ] }, { "linearCoefficient": -5, "constant": "8", "remainder": [ "-344", "109" ] }, { "linearCoefficient": -5, "constant": "-16", "remainder": [ "4576", "2101" ] }, { "linearCoefficient": -5, "constant": "16", "remainder": [ "576", "-299" ] }, { "linearCoefficient": -4, "constant": "-1", "remainder": [ "88", "325" ] }, { "linearCoefficient": -4, "constant": "1", "remainder": [ "-40", "229" ] }, { "linearCoefficient": -4, "constant": "-2", "remainder": [ "176", "376" ] }, { "linearCoefficient": -4, "constant": "2", "remainder": [ "-80", "184" ] }, { "linearCoefficient": -4, "constant": "-4", "remainder": [ "400", "484" ] }, { "linearCoefficient": -4, "constant": "4", "remainder": [ "-112", "100" ] }, { "linearCoefficient": -4, "constant": "-8", "remainder": [ "1040", "724" ] }, { "linearCoefficient": -4, "constant": "8", "remainder": [ "16", "-44" ] }, { "linearCoefficient": -4, "constant": "-16", "remainder": [ "3088", "1300" ] }, { "linearCoefficient": -4, "constant": "16", "remainder": [ "1040", "-236" ] }, { "linearCoefficient": -3, "constant": "-1", "remainder": [ "49", "129" ] }, { "linearCoefficient": -3, "constant": "1", "remainder": [ "-5", "75" ] }, { "linearCoefficient": -3, "constant": "-2", "remainder": [ "94", "159" ] }, { "linearCoefficient": -3, "constant": "2", "remainder": [ "-14", "51" ] }, { "linearCoefficient": -3, "constant": "-4", "remainder": [ "220", "225" ] }, { "linearCoefficient": -3, "constant": "4", "remainder": [ "4", "9" ] }, { "linearCoefficient": -3, "constant": "-8", "remainder": [ "616", "381" ] }, { "linearCoefficient": -3, "constant": "8", "remainder": [ "184", "-51" ] }, { "linearCoefficient": -3, "constant": "-16", "remainder": [ "1984", "789" ] }, { "linearCoefficient": -3, "constant": "16", "remainder": [ "1120", "-75" ] }, { "linearCoefficient": -2, "constant": "-1", "remainder": [ "28", "49" ] }, { "linearCoefficient": -2, "constant": "1", "remainder": [ "12", "25" ] }, { "linearCoefficient": -2, "constant": "-2", "remainder": [ "48", "64" ] }, { "linearCoefficient": -2, "constant": "2", "remainder": [ "16", "16" ] }, { "linearCoefficient": -2, "constant": "-4", "remainder": [ "112", "100" ] }, { "linearCoefficient": -2, "constant": "4", "remainder": [ "48", "4" ] }, { "linearCoefficient": -2, "constant": "-8", "remainder": [ "336", "196" ] }, { "linearCoefficient": -2, "constant": "8", "remainder": [ "208", "4" ] }, { "linearCoefficient": -2, "constant": "-16", "remainder": [ "1168", "484" ] }, { "linearCoefficient": -2, "constant": "16", "remainder": [ "912", "100" ] }, { "linearCoefficient": -1, "constant": "-1", "remainder": [ "19", "25" ] }, { "linearCoefficient": -1, "constant": "1", "remainder": [ "17", "19" ] }, { "linearCoefficient": -1, "constant": "-2", "remainder": [ "26", "31" ] }, { "linearCoefficient": -1, "constant": "2", "remainder": [ "22", "19" ] }, { "linearCoefficient": -1, "constant": "-4", "remainder": [ "52", "49" ] }, { "linearCoefficient": -1, "constant": "4", "remainder": [ "44", "25" ] }, { "linearCoefficient": -1, "constant": "-8", "remainder": [ "152", "109" ] }, { "linearCoefficient": -1, "constant": "8", "remainder": [ "136", "61" ] }, { "linearCoefficient": -1, "constant": "-16", "remainder": [ "544", "325" ] }, { "linearCoefficient": -1, "constant": "16", "remainder": [ "512", "229" ] }, { "linearCoefficient": 0, "constant": "-1", "remainder": [ "16", "21" ] }, { "linearCoefficient": 0, "constant": "1", "remainder": [ "16", "21" ] }, { "linearCoefficient": 0, "constant": "-2", "remainder": [ "16", "24" ] }, { "linearCoefficient": 0, "constant": "2", "remainder": [ "16", "24" ] }, { "linearCoefficient": 0, "constant": "-4", "remainder": [ "16", "36" ] }, { "linearCoefficient": 0, "constant": "4", "remainder": [ "16", "36" ] }, { "linearCoefficient": 0, "constant": "-8", "remainder": [ "16", "84" ] }, { "linearCoefficient": 0, "constant": "8", "remainder": [ "16", "84" ] }, { "linearCoefficient": 0, "constant": "-16", "remainder": [ "16", "276" ] }, { "linearCoefficient": 0, "constant": "16", "remainder": [ "16", "276" ] }, { "linearCoefficient": 1, "constant": "-1", "remainder": [ "13", "25" ] }, { "linearCoefficient": 1, "constant": "1", "remainder": [ "15", "19" ] }, { "linearCoefficient": 1, "constant": "-2", "remainder": [ "6", "31" ] }, { "linearCoefficient": 1, "constant": "2", "remainder": [ "10", "19" ] }, { "linearCoefficient": 1, "constant": "-4", "remainder": [ "-20", "49" ] }, { "linearCoefficient": 1, "constant": "4", "remainder": [ "-12", "25" ] }, { "linearCoefficient": 1, "constant": "-8", "remainder": [ "-120", "109" ] }, { "linearCoefficient": 1, "constant": "8", "remainder": [ "-104", "61" ] }, { "linearCoefficient": 1, "constant": "-16", "remainder": [ "-512", "325" ] }, { "linearCoefficient": 1, "constant": "16", "remainder": [ "-480", "229" ] }, { "linearCoefficient": 2, "constant": "-1", "remainder": [ "4", "49" ] }, { "linearCoefficient": 2, "constant": "1", "remainder": [ "20", "25" ] }, { "linearCoefficient": 2, "constant": "-2", "remainder": [ "-16", "64" ] }, { "linearCoefficient": 2, "constant": "2", "remainder": [ "16", "16" ] }, { "linearCoefficient": 2, "constant": "-4", "remainder": [ "-80", "100" ] }, { "linearCoefficient": 2, "constant": "4", "remainder": [ "-16", "4" ] }, { "linearCoefficient": 2, "constant": "-8", "remainder": [ "-304", "196" ] }, { "linearCoefficient": 2, "constant": "8", "remainder": [ "-176", "4" ] }, { "linearCoefficient": 2, "constant": "-16", "remainder": [ "-1136", "484" ] }, { "linearCoefficient": 2, "constant": "16", "remainder": [ "-880", "100" ] }, { "linearCoefficient": 3, "constant": "-1", "remainder": [ "-17", "129" ] }, { "linearCoefficient": 3, "constant": "1", "remainder": [ "37", "75" ] }, { "linearCoefficient": 3, "constant": "-2", "remainder": [ "-62", "159" ] }, { "linearCoefficient": 3, "constant": "2", "remainder": [ "46", "51" ] }, { "linearCoefficient": 3, "constant": "-4", "remainder": [ "-188", "225" ] }, { "linearCoefficient": 3, "constant": "4", "remainder": [ "28", "9" ] }, { "linearCoefficient": 3, "constant": "-8", "remainder": [ "-584", "381" ] }, { "linearCoefficient": 3, "constant": "8", "remainder": [ "-152", "-51" ] }, { "linearCoefficient": 3, "constant": "-16", "remainder": [ "-1952", "789" ] }, { "linearCoefficient": 3, "constant": "16", "remainder": [ "-1088", "-75" ] }, { "linearCoefficient": 4, "constant": "-1", "remainder": [ "-56", "325" ] }, { "linearCoefficient": 4, "constant": "1", "remainder": [ "72", "229" ] }, { "linearCoefficient": 4, "constant": "-2", "remainder": [ "-144", "376" ] }, { "linearCoefficient": 4, "constant": "2", "remainder": [ "112", "184" ] }, { "linearCoefficient": 4, "constant": "-4", "remainder": [ "-368", "484" ] }, { "linearCoefficient": 4, "constant": "4", "remainder": [ "144", "100" ] }, { "linearCoefficient": 4, "constant": "-8", "remainder": [ "-1008", "724" ] }, { "linearCoefficient": 4, "constant": "8", "remainder": [ "16", "-44" ] }, { "linearCoefficient": 4, "constant": "-16", "remainder": [ "-3056", "1300" ] }, { "linearCoefficient": 4, "constant": "16", "remainder": [ "-1008", "-236" ] }, { "linearCoefficient": 5, "constant": "-1", "remainder": [ "-119", "721" ] }, { "linearCoefficient": 5, "constant": "1", "remainder": [ "131", "571" ] }, { "linearCoefficient": 5, "constant": "-2", "remainder": [ "-274", "799" ] }, { "linearCoefficient": 5, "constant": "2", "remainder": [ "226", "499" ] }, { "linearCoefficient": 5, "constant": "-4", "remainder": [ "-644", "961" ] }, { "linearCoefficient": 5, "constant": "4", "remainder": [ "356", "361" ] }, { "linearCoefficient": 5, "constant": "-8", "remainder": [ "-1624", "1309" ] }, { "linearCoefficient": 5, "constant": "8", "remainder": [ "376", "109" ] }, { "linearCoefficient": 5, "constant": "-16", "remainder": [ "-4544", "2101" ] }, { "linearCoefficient": 5, "constant": "16", "remainder": [ "-544", "-299" ] }, { "linearCoefficient": 6, "constant": "-1", "remainder": [ "-212", "1425" ] }, { "linearCoefficient": 6, "constant": "1", "remainder": [ "220", "1209" ] }, { "linearCoefficient": 6, "constant": "-2", "remainder": [ "-464", "1536" ] }, { "linearCoefficient": 6, "constant": "2", "remainder": [ "400", "1104" ] }, { "linearCoefficient": 6, "constant": "-4", "remainder": [ "-1040", "1764" ] }, { "linearCoefficient": 6, "constant": "4", "remainder": [ "688", "900" ] }, { "linearCoefficient": 6, "constant": "-8", "remainder": [ "-2480", "2244" ] }, { "linearCoefficient": 6, "constant": "8", "remainder": [ "976", "516" ] }, { "linearCoefficient": 6, "constant": "-16", "remainder": [ "-6512", "3300" ] }, { "linearCoefficient": 6, "constant": "16", "remainder": [ "400", "-156" ] }, { "linearCoefficient": 7, "constant": "-1", "remainder": [ "-341", "2569" ] }, { "linearCoefficient": 7, "constant": "1", "remainder": [ "345", "2275" ] }, { "linearCoefficient": 7, "constant": "-2", "remainder": [ "-726", "2719" ] }, { "linearCoefficient": 7, "constant": "2", "remainder": [ "646", "2131" ] }, { "linearCoefficient": 7, "constant": "-4", "remainder": [ "-1580", "3025" ] }, { "linearCoefficient": 7, "constant": "4", "remainder": [ "1164", "1849" ] }, { "linearCoefficient": 7, "constant": "-8", "remainder": [ "-3624", "3661" ] }, { "linearCoefficient": 7, "constant": "8", "remainder": [ "1864", "1309" ] }, { "linearCoefficient": 7, "constant": "-16", "remainder": [ "-9056", "5029" ] }, { "linearCoefficient": 7, "constant": "16", "remainder": [ "1920", "325" ] }, { "linearCoefficient": 8, "constant": "-1", "remainder": [ "-512", "4309" ] }, { "linearCoefficient": 8, "constant": "1", "remainder": [ "512", "3925" ] }, { "linearCoefficient": 8, "constant": "-2", "remainder": [ "-1072", "4504" ] }, { "linearCoefficient": 8, "constant": "2", "remainder": [ "976", "3736" ] }, { "linearCoefficient": 8, "constant": "-4", "remainder": [ "-2288", "4900" ] }, { "linearCoefficient": 8, "constant": "4", "remainder": [ "1808", "3364" ] }, { "linearCoefficient": 8, "constant": "-8", "remainder": [ "-5104", "5716" ] }, { "linearCoefficient": 8, "constant": "8", "remainder": [ "3088", "2644" ] }, { "linearCoefficient": 8, "constant": "-16", "remainder": [ "-12272", "7444" ] }, { "linearCoefficient": 8, "constant": "16", "remainder": [ "4112", "1300" ] }, { "linearCoefficient": 9, "constant": "-1", "remainder": [ "-731", "6825" ] }, { "linearCoefficient": 9, "constant": "1", "remainder": [ "727", "6339" ] }, { "linearCoefficient": 9, "constant": "-2", "remainder": [ "-1514", "7071" ] }, { "linearCoefficient": 9, "constant": "2", "remainder": [ "1402", "6099" ] }, { "linearCoefficient": 9, "constant": "-4", "remainder": [ "-3188", "7569" ] }, { "linearCoefficient": 9, "constant": "4", "remainder": [ "2644", "5625" ] }, { "linearCoefficient": 9, "constant": "-8", "remainder": [ "-6968", "8589" ] }, { "linearCoefficient": 9, "constant": "8", "remainder": [ "4696", "4701" ] }, { "linearCoefficient": 9, "constant": "-16", "remainder": [ "-16256", "10725" ] }, { "linearCoefficient": 9, "constant": "16", "remainder": [ "7072", "2949" ] }, { "linearCoefficient": 10, "constant": "-1", "remainder": [ "-1004", "10321" ] }, { "linearCoefficient": 10, "constant": "1", "remainder": [ "996", "9721" ] }, { "linearCoefficient": 10, "constant": "-2", "remainder": [ "-2064", "10624" ] }, { "linearCoefficient": 10, "constant": "2", "remainder": [ "1936", "9424" ] }, { "linearCoefficient": 10, "constant": "-4", "remainder": [ "-4304", "11236" ] }, { "linearCoefficient": 10, "constant": "4", "remainder": [ "3696", "8836" ] }, { "linearCoefficient": 10, "constant": "-8", "remainder": [ "-9264", "12484" ] }, { "linearCoefficient": 10, "constant": "8", "remainder": [ "6736", "7684" ] }, { "linearCoefficient": 10, "constant": "-16", "remainder": [ "-21104", "15076" ] }, { "linearCoefficient": 10, "constant": "16", "remainder": [ "10896", "5476" ] }, { "linearCoefficient": 11, "constant": "-1", "remainder": [ "-1337", "15025" ] }, { "linearCoefficient": 11, "constant": "1", "remainder": [ "1325", "14299" ] }, { "linearCoefficient": 11, "constant": "-2", "remainder": [ "-2734", "15391" ] }, { "linearCoefficient": 11, "constant": "2", "remainder": [ "2590", "13939" ] }, { "linearCoefficient": 11, "constant": "-4", "remainder": [ "-5660", "16129" ] }, { "linearCoefficient": 11, "constant": "4", "remainder": [ "4988", "13225" ] }, { "linearCoefficient": 11, "constant": "-8", "remainder": [ "-12040", "17629" ] }, { "linearCoefficient": 11, "constant": "8", "remainder": [ "9256", "11821" ] }, { "linearCoefficient": 11, "constant": "-16", "remainder": [ "-26912", "20725" ] }, { "linearCoefficient": 11, "constant": "16", "remainder": [ "15680", "9109" ] }, { "linearCoefficient": 12, "constant": "-1", "remainder": [ "-1736", "21189" ] }, { "linearCoefficient": 12, "constant": "1", "remainder": [ "1720", "20325" ] }, { "linearCoefficient": 12, "constant": "-2", "remainder": [ "-3536", "21624" ] }, { "linearCoefficient": 12, "constant": "2", "remainder": [ "3376", "19896" ] }, { "linearCoefficient": 12, "constant": "-4", "remainder": [ "-7280", "22500" ] }, { "linearCoefficient": 12, "constant": "4", "remainder": [ "6544", "19044" ] }, { "linearCoefficient": 12, "constant": "-8", "remainder": [ "-15344", "24276" ] }, { "linearCoefficient": 12, "constant": "8", "remainder": [ "12304", "17364" ] }, { "linearCoefficient": 12, "constant": "-16", "remainder": [ "-33776", "27924" ] }, { "linearCoefficient": 12, "constant": "16", "remainder": [ "21520", "14100" ] }, { "linearCoefficient": 13, "constant": "-1", "remainder": [ "-2207", "29089" ] }, { "linearCoefficient": 13, "constant": "1", "remainder": [ "2187", "28075" ] }, { "linearCoefficient": 13, "constant": "-2", "remainder": [ "-4482", "29599" ] }, { "linearCoefficient": 13, "constant": "2", "remainder": [ "4306", "27571" ] }, { "linearCoefficient": 13, "constant": "-4", "remainder": [ "-9188", "30625" ] }, { "linearCoefficient": 13, "constant": "4", "remainder": [ "8388", "26569" ] }, { "linearCoefficient": 13, "constant": "-8", "remainder": [ "-19224", "32701" ] }, { "linearCoefficient": 13, "constant": "8", "remainder": [ "15928", "24589" ] }, { "linearCoefficient": 13, "constant": "-16", "remainder": [ "-41792", "36949" ] }, { "linearCoefficient": 13, "constant": "16", "remainder": [ "28512", "20725" ] }, { "linearCoefficient": 14, "constant": "-1", "remainder": [ "-2756", "39025" ] }, { "linearCoefficient": 14, "constant": "1", "remainder": [ "2732", "37849" ] }, { "linearCoefficient": 14, "constant": "-2", "remainder": [ "-5584", "39616" ] }, { "linearCoefficient": 14, "constant": "2", "remainder": [ "5392", "37264" ] }, { "linearCoefficient": 14, "constant": "-4", "remainder": [ "-11408", "40804" ] }, { "linearCoefficient": 14, "constant": "4", "remainder": [ "10544", "36100" ] }, { "linearCoefficient": 14, "constant": "-8", "remainder": [ "-23728", "43204" ] }, { "linearCoefficient": 14, "constant": "8", "remainder": [ "20176", "33796" ] }, { "linearCoefficient": 14, "constant": "-16", "remainder": [ "-51056", "48100" ] }, { "linearCoefficient": 14, "constant": "16", "remainder": [ "36752", "29284" ] }, { "linearCoefficient": 15, "constant": "-1", "remainder": [ "-3389", "51321" ] }, { "linearCoefficient": 15, "constant": "1", "remainder": [ "3361", "49971" ] }, { "linearCoefficient": 15, "constant": "-2", "remainder": [ "-6854", "51999" ] }, { "linearCoefficient": 15, "constant": "2", "remainder": [ "6646", "49299" ] }, { "linearCoefficient": 15, "constant": "-4", "remainder": [ "-13964", "53361" ] }, { "linearCoefficient": 15, "constant": "4", "remainder": [ "13036", "47961" ] }, { "linearCoefficient": 15, "constant": "-8", "remainder": [ "-28904", "56109" ] }, { "linearCoefficient": 15, "constant": "8", "remainder": [ "25096", "45309" ] }, { "linearCoefficient": 15, "constant": "-16", "remainder": [ "-61664", "61701" ] }, { "linearCoefficient": 15, "constant": "16", "remainder": [ "46336", "40101" ] }, { "linearCoefficient": 16, "constant": "-1", "remainder": [ "-4112", "66325" ] }, { "linearCoefficient": 16, "constant": "1", "remainder": [ "4080", "64789" ] }, { "linearCoefficient": 16, "constant": "-2", "remainder": [ "-8304", "67096" ] }, { "linearCoefficient": 16, "constant": "2", "remainder": [ "8080", "64024" ] }, { "linearCoefficient": 16, "constant": "-4", "remainder": [ "-16880", "68644" ] }, { "linearCoefficient": 16, "constant": "4", "remainder": [ "15888", "62500" ] }, { "linearCoefficient": 16, "constant": "-8", "remainder": [ "-34800", "71764" ] }, { "linearCoefficient": 16, "constant": "8", "remainder": [ "30736", "59476" ] }, { "linearCoefficient": 16, "constant": "-16", "remainder": [ "-73712", "78100" ] }, { "linearCoefficient": 16, "constant": "16", "remainder": [ "57360", "53524" ] }, { "linearCoefficient": 17, "constant": "-1", "remainder": [ "-4931", "84409" ] }, { "linearCoefficient": 17, "constant": "1", "remainder": [ "4895", "82675" ] }, { "linearCoefficient": 17, "constant": "-2", "remainder": [ "-9946", "85279" ] }, { "linearCoefficient": 17, "constant": "2", "remainder": [ "9706", "81811" ] }, { "linearCoefficient": 17, "constant": "-4", "remainder": [ "-20180", "87025" ] }, { "linearCoefficient": 17, "constant": "4", "remainder": [ "19124", "80089" ] }, { "linearCoefficient": 17, "constant": "-8", "remainder": [ "-41464", "90541" ] }, { "linearCoefficient": 17, "constant": "8", "remainder": [ "37144", "76669" ] }, { "linearCoefficient": 17, "constant": "-16", "remainder": [ "-87296", "97669" ] }, { "linearCoefficient": 17, "constant": "16", "remainder": [ "69920", "69925" ] }, { "linearCoefficient": 18, "constant": "-1", "remainder": [ "-5852", "105969" ] }, { "linearCoefficient": 18, "constant": "1", "remainder": [ "5812", "104025" ] }, { "linearCoefficient": 18, "constant": "-2", "remainder": [ "-11792", "106944" ] }, { "linearCoefficient": 18, "constant": "2", "remainder": [ "11536", "103056" ] }, { "linearCoefficient": 18, "constant": "-4", "remainder": [ "-23888", "108900" ] }, { "linearCoefficient": 18, "constant": "4", "remainder": [ "22768", "101124" ] }, { "linearCoefficient": 18, "constant": "-8", "remainder": [ "-48944", "112836" ] }, { "linearCoefficient": 18, "constant": "8", "remainder": [ "44368", "97284" ] }, { "linearCoefficient": 18, "constant": "-16", "remainder": [ "-102512", "120804" ] }, { "linearCoefficient": 18, "constant": "16", "remainder": [ "84112", "89700" ] }, { "linearCoefficient": 19, "constant": "-1", "remainder": [ "-6881", "131425" ] }, { "linearCoefficient": 19, "constant": "1", "remainder": [ "6837", "129259" ] }, { "linearCoefficient": 19, "constant": "-2", "remainder": [ "-13854", "132511" ] }, { "linearCoefficient": 19, "constant": "2", "remainder": [ "13582", "128179" ] }, { "linearCoefficient": 19, "constant": "-4", "remainder": [ "-28028", "134689" ] }, { "linearCoefficient": 19, "constant": "4", "remainder": [ "26844", "126025" ] }, { "linearCoefficient": 19, "constant": "-8", "remainder": [ "-57288", "139069" ] }, { "linearCoefficient": 19, "constant": "8", "remainder": [ "52456", "121741" ] }, { "linearCoefficient": 19, "constant": "-16", "remainder": [ "-119456", "147925" ] }, { "linearCoefficient": 19, "constant": "16", "remainder": [ "100032", "113269" ] }, { "linearCoefficient": 20, "constant": "-1", "remainder": [ "-8024", "161221" ] }, { "linearCoefficient": 20, "constant": "1", "remainder": [ "7976", "158821" ] }, { "linearCoefficient": 20, "constant": "-2", "remainder": [ "-16144", "162424" ] }, { "linearCoefficient": 20, "constant": "2", "remainder": [ "15856", "157624" ] }, { "linearCoefficient": 20, "constant": "-4", "remainder": [ "-32624", "164836" ] }, { "linearCoefficient": 20, "constant": "4", "remainder": [ "31376", "155236" ] }, { "linearCoefficient": 20, "constant": "-8", "remainder": [ "-66544", "169684" ] }, { "linearCoefficient": 20, "constant": "8", "remainder": [ "61456", "150484" ] }, { "linearCoefficient": 20, "constant": "-16", "remainder": [ "-138224", "179476" ] }, { "linearCoefficient": 20, "constant": "16", "remainder": [ "117776", "141076" ] }, { "linearCoefficient": 21, "constant": "-1", "remainder": [ "-9287", "195825" ] }, { "linearCoefficient": 21, "constant": "1", "remainder": [ "9235", "193179" ] }, { "linearCoefficient": 21, "constant": "-2", "remainder": [ "-18674", "197151" ] }, { "linearCoefficient": 21, "constant": "2", "remainder": [ "18370", "191859" ] }, { "linearCoefficient": 21, "constant": "-4", "remainder": [ "-37700", "199809" ] }, { "linearCoefficient": 21, "constant": "4", "remainder": [ "36388", "189225" ] }, { "linearCoefficient": 21, "constant": "-8", "remainder": [ "-76760", "205149" ] }, { "linearCoefficient": 21, "constant": "8", "remainder": [ "71416", "183981" ] }, { "linearCoefficient": 21, "constant": "-16", "remainder": [ "-158912", "215925" ] }, { "linearCoefficient": 21, "constant": "16", "remainder": [ "137440", "173589" ] }, { "linearCoefficient": 22, "constant": "-1", "remainder": [ "-10676", "235729" ] }, { "linearCoefficient": 22, "constant": "1", "remainder": [ "10620", "232825" ] }, { "linearCoefficient": 22, "constant": "-2", "remainder": [ "-21456", "237184" ] }, { "linearCoefficient": 22, "constant": "2", "remainder": [ "21136", "231376" ] }, { "linearCoefficient": 22, "constant": "-4", "remainder": [ "-43280", "240100" ] }, { "linearCoefficient": 22, "constant": "4", "remainder": [ "41904", "228484" ] }, { "linearCoefficient": 22, "constant": "-8", "remainder": [ "-87984", "245956" ] }, { "linearCoefficient": 22, "constant": "8", "remainder": [ "82384", "222724" ] }, { "linearCoefficient": 22, "constant": "-16", "remainder": [ "-181616", "257764" ] }, { "linearCoefficient": 22, "constant": "16", "remainder": [ "159120", "211300" ] }, { "linearCoefficient": 23, "constant": "-1", "remainder": [ "-12197", "281449" ] }, { "linearCoefficient": 23, "constant": "1", "remainder": [ "12137", "278275" ] }, { "linearCoefficient": 23, "constant": "-2", "remainder": [ "-24502", "283039" ] }, { "linearCoefficient": 23, "constant": "2", "remainder": [ "24166", "276691" ] }, { "linearCoefficient": 23, "constant": "-4", "remainder": [ "-49388", "286225" ] }, { "linearCoefficient": 23, "constant": "4", "remainder": [ "47948", "273529" ] }, { "linearCoefficient": 23, "constant": "-8", "remainder": [ "-100264", "292621" ] }, { "linearCoefficient": 23, "constant": "8", "remainder": [ "94408", "267229" ] }, { "linearCoefficient": 23, "constant": "-16", "remainder": [ "-206432", "305509" ] }, { "linearCoefficient": 23, "constant": "16", "remainder": [ "182912", "254725" ] }, { "linearCoefficient": 24, "constant": "-1", "remainder": [ "-13856", "333525" ] }, { "linearCoefficient": 24, "constant": "1", "remainder": [ "13792", "330069" ] }, { "linearCoefficient": 24, "constant": "-2", "remainder": [ "-27824", "335256" ] }, { "linearCoefficient": 24, "constant": "2", "remainder": [ "27472", "328344" ] }, { "linearCoefficient": 24, "constant": "-4", "remainder": [ "-56048", "338724" ] }, { "linearCoefficient": 24, "constant": "4", "remainder": [ "54544", "324900" ] }, { "linearCoefficient": 24, "constant": "-8", "remainder": [ "-113648", "345684" ] }, { "linearCoefficient": 24, "constant": "8", "remainder": [ "107536", "318036" ] }, { "linearCoefficient": 24, "constant": "-16", "remainder": [ "-233456", "359700" ] }, { "linearCoefficient": 24, "constant": "16", "remainder": [ "208912", "304404" ] }, { "linearCoefficient": 25, "constant": "-1", "remainder": [ "-15659", "392521" ] }, { "linearCoefficient": 25, "constant": "1", "remainder": [ "15591", "388771" ] }, { "linearCoefficient": 25, "constant": "-2", "remainder": [ "-31434", "394399" ] }, { "linearCoefficient": 25, "constant": "2", "remainder": [ "31066", "386899" ] }, { "linearCoefficient": 25, "constant": "-4", "remainder": [ "-63284", "398161" ] }, { "linearCoefficient": 25, "constant": "4", "remainder": [ "61716", "383161" ] }, { "linearCoefficient": 25, "constant": "-8", "remainder": [ "-128184", "405709" ] }, { "linearCoefficient": 25, "constant": "8", "remainder": [ "121816", "375709" ] }, { "linearCoefficient": 25, "constant": "-16", "remainder": [ "-262784", "420901" ] }, { "linearCoefficient": 25, "constant": "16", "remainder": [ "237216", "360901" ] }, { "linearCoefficient": 26, "constant": "-1", "remainder": [ "-17612", "459025" ] }, { "linearCoefficient": 26, "constant": "1", "remainder": [ "17540", "454969" ] }, { "linearCoefficient": 26, "constant": "-2", "remainder": [ "-35344", "461056" ] }, { "linearCoefficient": 26, "constant": "2", "remainder": [ "34960", "452944" ] }, { "linearCoefficient": 26, "constant": "-4", "remainder": [ "-71120", "465124" ] }, { "linearCoefficient": 26, "constant": "4", "remainder": [ "69488", "448900" ] }, { "linearCoefficient": 26, "constant": "-8", "remainder": [ "-143920", "473284" ] }, { "linearCoefficient": 26, "constant": "8", "remainder": [ "137296", "440836" ] }, { "linearCoefficient": 26, "constant": "-16", "remainder": [ "-294512", "489700" ] }, { "linearCoefficient": 26, "constant": "16", "remainder": [ "267920", "424804" ] }, { "linearCoefficient": 27, "constant": "-1", "remainder": [ "-19721", "533649" ] }, { "linearCoefficient": 27, "constant": "1", "remainder": [ "19645", "529275" ] }, { "linearCoefficient": 27, "constant": "-2", "remainder": [ "-39566", "535839" ] }, { "linearCoefficient": 27, "constant": "2", "remainder": [ "39166", "527091" ] }, { "linearCoefficient": 27, "constant": "-4", "remainder": [ "-79580", "540225" ] }, { "linearCoefficient": 27, "constant": "4", "remainder": [ "77884", "522729" ] }, { "linearCoefficient": 27, "constant": "-8", "remainder": [ "-160904", "549021" ] }, { "linearCoefficient": 27, "constant": "8", "remainder": [ "154024", "514029" ] }, { "linearCoefficient": 27, "constant": "-16", "remainder": [ "-328736", "566709" ] }, { "linearCoefficient": 27, "constant": "16", "remainder": [ "301120", "496725" ] }, { "linearCoefficient": 28, "constant": "-1", "remainder": [ "-21992", "617029" ] }, { "linearCoefficient": 28, "constant": "1", "remainder": [ "21912", "612325" ] }, { "linearCoefficient": 28, "constant": "-2", "remainder": [ "-44112", "619384" ] }, { "linearCoefficient": 28, "constant": "2", "remainder": [ "43696", "609976" ] }, { "linearCoefficient": 28, "constant": "-4", "remainder": [ "-88688", "624100" ] }, { "linearCoefficient": 28, "constant": "4", "remainder": [ "86928", "605284" ] }, { "linearCoefficient": 28, "constant": "-8", "remainder": [ "-179184", "633556" ] }, { "linearCoefficient": 28, "constant": "8", "remainder": [ "172048", "595924" ] }, { "linearCoefficient": 28, "constant": "-16", "remainder": [ "-365552", "652564" ] }, { "linearCoefficient": 28, "constant": "16", "remainder": [ "336912", "577300" ] }, { "linearCoefficient": 29, "constant": "-1", "remainder": [ "-24431", "709825" ] }, { "linearCoefficient": 29, "constant": "1", "remainder": [ "24347", "704779" ] }, { "linearCoefficient": 29, "constant": "-2", "remainder": [ "-48994", "712351" ] }, { "linearCoefficient": 29, "constant": "2", "remainder": [ "48562", "702259" ] }, { "linearCoefficient": 29, "constant": "-4", "remainder": [ "-98468", "717409" ] }, { "linearCoefficient": 29, "constant": "4", "remainder": [ "96644", "697225" ] }, { "linearCoefficient": 29, "constant": "-8", "remainder": [ "-198808", "727549" ] }, { "linearCoefficient": 29, "constant": "8", "remainder": [ "191416", "687181" ] }, { "linearCoefficient": 29, "constant": "-16", "remainder": [ "-405056", "747925" ] }, { "linearCoefficient": 29, "constant": "16", "remainder": [ "375392", "667189" ] }, { "linearCoefficient": 30, "constant": "-1", "remainder": [ "-27044", "812721" ] }, { "linearCoefficient": 30, "constant": "1", "remainder": [ "26956", "807321" ] }, { "linearCoefficient": 30, "constant": "-2", "remainder": [ "-54224", "815424" ] }, { "linearCoefficient": 30, "constant": "2", "remainder": [ "53776", "804624" ] }, { "linearCoefficient": 30, "constant": "-4", "remainder": [ "-108944", "820836" ] }, { "linearCoefficient": 30, "constant": "4", "remainder": [ "107056", "799236" ] }, { "linearCoefficient": 30, "constant": "-8", "remainder": [ "-219824", "831684" ] }, { "linearCoefficient": 30, "constant": "8", "remainder": [ "212176", "788484" ] }, { "linearCoefficient": 30, "constant": "-16", "remainder": [ "-447344", "853476" ] }, { "linearCoefficient": 30, "constant": "16", "remainder": [ "416656", "767076" ] }, { "linearCoefficient": 31, "constant": "-1", "remainder": [ "-29837", "926425" ] }, { "linearCoefficient": 31, "constant": "1", "remainder": [ "29745", "920659" ] }, { "linearCoefficient": 31, "constant": "-2", "remainder": [ "-59814", "929311" ] }, { "linearCoefficient": 31, "constant": "2", "remainder": [ "59350", "917779" ] }, { "linearCoefficient": 31, "constant": "-4", "remainder": [ "-120140", "935089" ] }, { "linearCoefficient": 31, "constant": "4", "remainder": [ "118188", "912025" ] }, { "linearCoefficient": 31, "constant": "-8", "remainder": [ "-242280", "946669" ] }, { "linearCoefficient": 31, "constant": "8", "remainder": [ "234376", "900541" ] }, { "linearCoefficient": 31, "constant": "-16", "remainder": [ "-492512", "969925" ] }, { "linearCoefficient": 31, "constant": "16", "remainder": [ "460800", "877669" ] }, { "linearCoefficient": 32, "constant": "-1", "remainder": [ "-32816", "1051669" ] }, { "linearCoefficient": 32, "constant": "1", "remainder": [ "32720", "1045525" ] }, { "linearCoefficient": 32, "constant": "-2", "remainder": [ "-65776", "1054744" ] }, { "linearCoefficient": 32, "constant": "2", "remainder": [ "65296", "1042456" ] }, { "linearCoefficient": 32, "constant": "-4", "remainder": [ "-132080", "1060900" ] }, { "linearCoefficient": 32, "constant": "4", "remainder": [ "130064", "1036324" ] }, { "linearCoefficient": 32, "constant": "-8", "remainder": [ "-266224", "1073236" ] }, { "linearCoefficient": 32, "constant": "8", "remainder": [ "258064", "1024084" ] }, { "linearCoefficient": 32, "constant": "-16", "remainder": [ "-540656", "1098004" ] }, { "linearCoefficient": 32, "constant": "16", "remainder": [ "507920", "999700" ] }, { "linearCoefficient": 33, "constant": "-1", "remainder": [ "-35987", "1189209" ] }, { "linearCoefficient": 33, "constant": "1", "remainder": [ "35887", "1182675" ] }, { "linearCoefficient": 33, "constant": "-2", "remainder": [ "-72122", "1192479" ] }, { "linearCoefficient": 33, "constant": "2", "remainder": [ "71626", "1179411" ] }, { "linearCoefficient": 33, "constant": "-4", "remainder": [ "-144788", "1199025" ] }, { "linearCoefficient": 33, "constant": "4", "remainder": [ "142708", "1172889" ] }, { "linearCoefficient": 33, "constant": "-8", "remainder": [ "-291704", "1212141" ] }, { "linearCoefficient": 33, "constant": "8", "remainder": [ "283288", "1159869" ] }, { "linearCoefficient": 33, "constant": "-16", "remainder": [ "-591872", "1238469" ] }, { "linearCoefficient": 33, "constant": "16", "remainder": [ "558112", "1133925" ] }, { "linearCoefficient": 34, "constant": "-1", "remainder": [ "-39356", "1339825" ] }, { "linearCoefficient": 34, "constant": "1", "remainder": [ "39252", "1332889" ] }, { "linearCoefficient": 34, "constant": "-2", "remainder": [ "-78864", "1343296" ] }, { "linearCoefficient": 34, "constant": "2", "remainder": [ "78352", "1329424" ] }, { "linearCoefficient": 34, "constant": "-4", "remainder": [ "-158288", "1350244" ] }, { "linearCoefficient": 34, "constant": "4", "remainder": [ "156144", "1322500" ] }, { "linearCoefficient": 34, "constant": "-8", "remainder": [ "-318768", "1364164" ] }, { "linearCoefficient": 34, "constant": "8", "remainder": [ "310096", "1308676" ] }, { "linearCoefficient": 34, "constant": "-16", "remainder": [ "-646256", "1392100" ] }, { "linearCoefficient": 34, "constant": "16", "remainder": [ "611472", "1281124" ] }, { "linearCoefficient": 35, "constant": "-1", "remainder": [ "-42929", "1504321" ] }, { "linearCoefficient": 35, "constant": "1", "remainder": [ "42821", "1496971" ] }, { "linearCoefficient": 35, "constant": "-2", "remainder": [ "-86014", "1507999" ] }, { "linearCoefficient": 35, "constant": "2", "remainder": [ "85486", "1493299" ] }, { "linearCoefficient": 35, "constant": "-4", "remainder": [ "-172604", "1515361" ] }, { "linearCoefficient": 35, "constant": "4", "remainder": [ "170396", "1485961" ] }, { "linearCoefficient": 35, "constant": "-8", "remainder": [ "-347464", "1530109" ] }, { "linearCoefficient": 35, "constant": "8", "remainder": [ "338536", "1471309" ] }, { "linearCoefficient": 35, "constant": "-16", "remainder": [ "-703904", "1559701" ] }, { "linearCoefficient": 35, "constant": "16", "remainder": [ "668096", "1442101" ] }, { "linearCoefficient": 36, "constant": "-1", "remainder": [ "-46712", "1683525" ] }, { "linearCoefficient": 36, "constant": "1", "remainder": [ "46600", "1675749" ] }, { "linearCoefficient": 36, "constant": "-2", "remainder": [ "-93584", "1687416" ] }, { "linearCoefficient": 36, "constant": "2", "remainder": [ "93040", "1671864" ] }, { "linearCoefficient": 36, "constant": "-4", "remainder": [ "-187760", "1695204" ] }, { "linearCoefficient": 36, "constant": "4", "remainder": [ "185488", "1664100" ] }, { "linearCoefficient": 36, "constant": "-8", "remainder": [ "-377840", "1710804" ] }, { "linearCoefficient": 36, "constant": "8", "remainder": [ "368656", "1648596" ] }, { "linearCoefficient": 36, "constant": "-16", "remainder": [ "-764912", "1742100" ] }, { "linearCoefficient": 36, "constant": "16", "remainder": [ "728080", "1617684" ] }, { "linearCoefficient": 37, "constant": "-1", "remainder": [ "-50711", "1878289" ] }, { "linearCoefficient": 37, "constant": "1", "remainder": [ "50595", "1870075" ] }, { "linearCoefficient": 37, "constant": "-2", "remainder": [ "-101586", "1882399" ] }, { "linearCoefficient": 37, "constant": "2", "remainder": [ "101026", "1865971" ] }, { "linearCoefficient": 37, "constant": "-4", "remainder": [ "-203780", "1890625" ] }, { "linearCoefficient": 37, "constant": "4", "remainder": [ "201444", "1857769" ] }, { "linearCoefficient": 37, "constant": "-8", "remainder": [ "-409944", "1907101" ] }, { "linearCoefficient": 37, "constant": "8", "remainder": [ "400504", "1841389" ] }, { "linearCoefficient": 37, "constant": "-16", "remainder": [ "-829376", "1940149" ] }, { "linearCoefficient": 37, "constant": "16", "remainder": [ "791520", "1808725" ] }, { "linearCoefficient": 38, "constant": "-1", "remainder": [ "-54932", "2089489" ] }, { "linearCoefficient": 38, "constant": "1", "remainder": [ "54812", "2080825" ] }, { "linearCoefficient": 38, "constant": "-2", "remainder": [ "-110032", "2093824" ] }, { "linearCoefficient": 38, "constant": "2", "remainder": [ "109456", "2076496" ] }, { "linearCoefficient": 38, "constant": "-4", "remainder": [ "-220688", "2102500" ] }, { "linearCoefficient": 38, "constant": "4", "remainder": [ "218288", "2067844" ] }, { "linearCoefficient": 38, "constant": "-8", "remainder": [ "-443824", "2119876" ] }, { "linearCoefficient": 38, "constant": "8", "remainder": [ "434128", "2050564" ] }, { "linearCoefficient": 38, "constant": "-16", "remainder": [ "-897392", "2154724" ] }, { "linearCoefficient": 38, "constant": "16", "remainder": [ "858512", "2016100" ] }, { "linearCoefficient": 39, "constant": "-1", "remainder": [ "-59381", "2318025" ] }, { "linearCoefficient": 39, "constant": "1", "remainder": [ "59257", "2308899" ] }, { "linearCoefficient": 39, "constant": "-2", "remainder": [ "-118934", "2322591" ] }, { "linearCoefficient": 39, "constant": "2", "remainder": [ "118342", "2304339" ] }, { "linearCoefficient": 39, "constant": "-4", "remainder": [ "-238508", "2331729" ] }, { "linearCoefficient": 39, "constant": "4", "remainder": [ "236044", "2295225" ] }, { "linearCoefficient": 39, "constant": "-8", "remainder": [ "-479528", "2350029" ] }, { "linearCoefficient": 39, "constant": "8", "remainder": [ "469576", "2277021" ] }, { "linearCoefficient": 39, "constant": "-16", "remainder": [ "-969056", "2386725" ] }, { "linearCoefficient": 39, "constant": "16", "remainder": [ "929152", "2240709" ] }, { "linearCoefficient": 40, "constant": "-1", "remainder": [ "-64064", "2564821" ] }, { "linearCoefficient": 40, "constant": "1", "remainder": [ "63936", "2555221" ] }, { "linearCoefficient": 40, "constant": "-2", "remainder": [ "-128304", "2569624" ] }, { "linearCoefficient": 40, "constant": "2", "remainder": [ "127696", "2550424" ] }, { "linearCoefficient": 40, "constant": "-4", "remainder": [ "-257264", "2579236" ] }, { "linearCoefficient": 40, "constant": "4", "remainder": [ "254736", "2540836" ] }, { "linearCoefficient": 40, "constant": "-8", "remainder": [ "-517104", "2598484" ] }, { "linearCoefficient": 40, "constant": "8", "remainder": [ "506896", "2521684" ] }, { "linearCoefficient": 40, "constant": "-16", "remainder": [ "-1044464", "2637076" ] }, { "linearCoefficient": 40, "constant": "16", "remainder": [ "1003536", "2483476" ] }, { "linearCoefficient": 41, "constant": "-1", "remainder": [ "-68987", "2830825" ] }, { "linearCoefficient": 41, "constant": "1", "remainder": [ "68855", "2820739" ] }, { "linearCoefficient": 41, "constant": "-2", "remainder": [ "-138154", "2835871" ] }, { "linearCoefficient": 41, "constant": "2", "remainder": [ "137530", "2815699" ] }, { "linearCoefficient": 41, "constant": "-4", "remainder": [ "-276980", "2845969" ] }, { "linearCoefficient": 41, "constant": "4", "remainder": [ "274388", "2805625" ] }, { "linearCoefficient": 41, "constant": "-8", "remainder": [ "-556600", "2866189" ] }, { "linearCoefficient": 41, "constant": "8", "remainder": [ "546136", "2785501" ] }, { "linearCoefficient": 41, "constant": "-16", "remainder": [ "-1123712", "2906725" ] }, { "linearCoefficient": 41, "constant": "16", "remainder": [ "1081760", "2745349" ] }, { "linearCoefficient": 42, "constant": "-1", "remainder": [ "-74156", "3117009" ] }, { "linearCoefficient": 42, "constant": "1", "remainder": [ "74020", "3106425" ] }, { "linearCoefficient": 42, "constant": "-2", "remainder": [ "-148496", "3122304" ] }, { "linearCoefficient": 42, "constant": "2", "remainder": [ "147856", "3101136" ] }, { "linearCoefficient": 42, "constant": "-4", "remainder": [ "-297680", "3132900" ] }, { "linearCoefficient": 42, "constant": "4", "remainder": [ "295024", "3090564" ] }, { "linearCoefficient": 42, "constant": "-8", "remainder": [ "-598064", "3154116" ] }, { "linearCoefficient": 42, "constant": "8", "remainder": [ "587344", "3069444" ] }, { "linearCoefficient": 42, "constant": "-16", "remainder": [ "-1206896", "3196644" ] }, { "linearCoefficient": 42, "constant": "16", "remainder": [ "1163920", "3027300" ] } ], "found": null, "quotient": null } ], "product": [ "16", "20", "0", "0", "0", "1" ] }, "discriminant": { "value": "1024000000", "square": { "square": true, "root": "32000" }, "sylvester": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "5", "0", "0", "0", "20", "0", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "20", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "20", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "20", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "20" ] ], "resultant": "1024000000", "bareiss": [ { "column": 0, "swappedWith": 0, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "5", "0", "0", "0", "20", "0", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "20", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "20", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "20" ] ] }, { "column": 1, "swappedWith": 1, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "-80", "-80", "0", "0" ], [ "0", "0", "5", "0", "0", "0", "20", "0", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "20", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "20" ] ] }, { "column": 2, "swappedWith": 2, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "-80", "-80", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "-80", "-80", "0" ], [ "0", "0", "0", "5", "0", "0", "0", "20", "0" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "20" ] ] }, { "column": 3, "swappedWith": 3, "pivot": "1", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "-80", "-80", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "-80", "-80", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "-80", "-80" ], [ "0", "0", "0", "0", "5", "0", "0", "0", "20" ] ] }, { "column": 4, "swappedWith": 4, "pivot": "-80", "previousPivot": "1", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "6400", "6400", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "6400", "6400", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "6400", "6400" ], [ "0", "0", "0", "0", "0", "400", "0", "0", "-1600" ] ] }, { "column": 5, "swappedWith": 5, "pivot": "6400", "previousPivot": "-80", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "6400", "6400", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "-512000", "-512000", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "-512000", "-512000" ], [ "0", "0", "0", "0", "0", "0", "32000", "0", "128000" ] ] }, { "column": 6, "swappedWith": 6, "pivot": "-512000", "previousPivot": "6400", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "6400", "6400", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "-512000", "-512000", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "40960000", "40960000" ], [ "0", "0", "0", "0", "0", "0", "0", "2560000", "-10240000" ] ] }, { "column": 7, "swappedWith": 7, "pivot": "40960000", "previousPivot": "-512000", "matrix": [ [ "1", "0", "0", "0", "20", "16", "0", "0", "0" ], [ "0", "1", "0", "0", "0", "20", "16", "0", "0" ], [ "0", "0", "1", "0", "0", "0", "20", "16", "0" ], [ "0", "0", "0", "1", "0", "0", "0", "20", "16" ], [ "0", "0", "0", "0", "-80", "-80", "0", "0", "0" ], [ "0", "0", "0", "0", "0", "6400", "6400", "0", "0" ], [ "0", "0", "0", "0", "0", "0", "-512000", "-512000", "0" ], [ "0", "0", "0", "0", "0", "0", "0", "40960000", "40960000" ], [ "0", "0", "0", "0", "0", "0", "0", "0", "1024000000" ] ] } ] }, "real": { "squareFreePart": [ "16", "20", "0", "0", "0", "1" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "16", "20", "0", "0", "0", "1" ], "divisor": [ "20", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "16", "16" ] }, { "dividend": [ "20", "0", "0", "0", "5" ], "divisor": [ "16", "16" ], "quotient": [ "-5/16", "5/16", "-5/16", "5/16" ], "remainder": [ "25" ] }, { "dividend": [ "16", "16" ], "divisor": [ "25" ], "quotient": [ "16/25", "16/25" ], "remainder": [ "0" ] } ], "sequence": [ [ "16", "20", "0", "0", "0", "1" ], [ "20", "0", "0", "0", "5" ], [ "-16", "-16" ], [ "-25" ] ], "divisions": [ { "dividend": [ "16", "20", "0", "0", "0", "1" ], "divisor": [ "20", "0", "0", "0", "5" ], "quotient": [ "0", "1/5" ], "remainder": [ "16", "16" ] }, { "dividend": [ "20", "0", "0", "0", "5" ], "divisor": [ "-16", "-16" ], "quotient": [ "5/16", "-5/16", "5/16", "-5/16" ], "remainder": [ "25" ] }, { "dividend": [ "-16", "-16" ], "divisor": [ "-25" ], "quotient": [ "16/25", "16/25" ], "remainder": [ "0" ] } ], "leftInfinity": [ -1, 1, 1, -1 ], "rightInfinity": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "rootCount": 1, "bound": 21, "bits": 8, "intervalConvention": "(left,right]", "nodes": [ { "id": 0, "parent": null, "left": "-21", "right": "21", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 1, 2 ] }, { "id": 1, "parent": 0, "left": "-21", "right": "0", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 3, 4 ] }, { "id": 2, "parent": 0, "left": "0", "right": "21", "leftSigns": [ 1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 3, "parent": 1, "left": "-21", "right": "-21/2", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ -1, 1, 1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 4, "parent": 1, "left": "-21/2", "right": "0", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 5, 6 ] }, { "id": 5, "parent": 4, "left": "-21/2", "right": "-21/4", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ -1, 1, 1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 6, "parent": 4, "left": "-21/4", "right": "0", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 7, 8 ] }, { "id": 7, "parent": 6, "left": "-21/4", "right": "-21/8", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ -1, 1, 1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 8, "parent": 6, "left": "-21/8", "right": "0", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 9, 10 ] }, { "id": 9, "parent": 8, "left": "-21/8", "right": "-21/16", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ -1, 1, 1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 10, "parent": 8, "left": "-21/16", "right": "0", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 11, 12 ] }, { "id": 11, "parent": 10, "left": "-21/16", "right": "-21/32", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 13, 14 ] }, { "id": 12, "parent": 10, "left": "-21/32", "right": "0", "leftSigns": [ 1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 13, "parent": 11, "left": "-21/16", "right": "-63/64", "leftSigns": [ -1, 1, 1, -1 ], "rightSigns": [ -1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 14, "parent": 11, "left": "-63/64", "right": "-21/32", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 15, 16 ] }, { "id": 15, "parent": 14, "left": "-63/64", "right": "-105/128", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ -1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 16, "parent": 14, "left": "-105/128", "right": "-21/32", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 17, 18 ] }, { "id": 17, "parent": 16, "left": "-105/128", "right": "-189/256", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 19, 20 ] }, { "id": 18, "parent": 16, "left": "-189/256", "right": "-21/32", "leftSigns": [ 1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 19, "parent": 17, "left": "-105/128", "right": "-399/512", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 21, 22 ] }, { "id": 20, "parent": 17, "left": "-399/512", "right": "-189/256", "leftSigns": [ 1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 21, "parent": 19, "left": "-105/128", "right": "-819/1024", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ -1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 22, "parent": 19, "left": "-819/1024", "right": "-399/512", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 23, 24 ] }, { "id": 23, "parent": 22, "left": "-819/1024", "right": "-1617/2048", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ -1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 24, "parent": 22, "left": "-1617/2048", "right": "-399/512", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 25, 26 ] }, { "id": 25, "parent": 24, "left": "-1617/2048", "right": "-3213/4096", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [ 27, 28 ] }, { "id": 26, "parent": 24, "left": "-3213/4096", "right": "-399/512", "leftSigns": [ 1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 1, "rightVariation": 1, "count": 0, "children": [] }, { "id": 27, "parent": 25, "left": "-1617/2048", "right": "-6447/8192", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ -1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 2, "count": 0, "children": [] }, { "id": 28, "parent": 25, "left": "-6447/8192", "right": "-3213/4096", "leftSigns": [ -1, 1, -1, -1 ], "rightSigns": [ 1, 1, -1, -1 ], "leftVariation": 2, "rightVariation": 1, "count": 1, "children": [] } ], "leaves": [ 28 ] }, "reductions": [ { "prime": 2, "reduced": [ "0", "0", "0", "0", "0", "1" ], "derivative": [ "0", "0", "0", "0", "1" ], "gcd": [ "0", "0", "0", "0", "1" ], "gcdSteps": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "divisor": [ "0", "0", "0", "0", "1" ], "quotient": [ "0", "1" ], "remainder": [ "0" ] } ], "good": false, "factors": [ [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ], [ "0", "1" ] ], "degrees": [ 1, 1, 1, 1, 1 ], "divisions": [ { "dividend": [ "0", "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "0", "1" ] }, { "dividend": [ "0", "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "0", "1" ] }, { "dividend": [ "0", "0", "1" ], "factor": [ "0", "1" ], "quotient": [ "0", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "0", "1" ], "frobeniusRemainders": [ [ "0" ], [ "0" ] ], "terminalDifference": [ "0" ], "tests": [] } ], "product": [ "0", "0", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 3, "reduced": [ "1", "2", "0", "0", "0", "1" ], "derivative": [ "2", "0", "0", "0", "2" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "1", "2", "0", "0", "0", "1" ], "divisor": [ "2", "0", "0", "0", "2" ], "quotient": [ "0", "2" ], "remainder": [ "1", "1" ] }, { "dividend": [ "2", "0", "0", "0", "2" ], "divisor": [ "1", "1" ], "quotient": [ "1", "2", "1", "2" ], "remainder": [ "1" ] }, { "dividend": [ "1", "1" ], "divisor": [ "1" ], "quotient": [ "1", "1" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "1", "2", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "1", "2", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "0", "0", "0", "1" ], [ "2", "1", "0", "0", "2" ], [ "2", "0", "2", "0", "2" ], [ "2", "1", "1", "2", "2" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "0", "2", "0", "1" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "1", "2", "0", "0", "0", "1" ], "divisor": [ "0", "2", "0", "1" ], "quotient": [ "1", "0", "1" ], "remainder": [ "1" ] }, { "dividend": [ "0", "2", "0", "1" ], "divisor": [ "1" ], "quotient": [ "0", "2", "0", "1" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "1", "2", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 5, "reduced": [ "1", "0", "0", "0", "0", "1" ], "derivative": [ "0" ], "gcd": [ "1", "0", "0", "0", "0", "1" ], "gcdSteps": [], "good": false, "factors": [ [ "1", "1" ], [ "1", "1" ], [ "1", "1" ], [ "1", "1" ], [ "1", "1" ] ], "degrees": [ 1, 1, 1, 1, 1 ], "divisions": [ { "dividend": [ "1", "0", "0", "0", "0", "1" ], "factor": [ "1", "1" ], "quotient": [ "1", "4", "1", "4", "1" ] }, { "dividend": [ "1", "4", "1", "4", "1" ], "factor": [ "1", "1" ], "quotient": [ "1", "3", "3", "1" ] }, { "dividend": [ "1", "3", "3", "1" ], "factor": [ "1", "1" ], "quotient": [ "1", "2", "1" ] }, { "dividend": [ "1", "2", "1" ], "factor": [ "1", "1" ], "quotient": [ "1", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "1", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] } ], "product": [ "1", "0", "0", "0", "0", "1" ], "cycleType": null }, { "prime": 7, "reduced": [ "2", "6", "0", "0", "0", "1" ], "derivative": [ "6", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "2", "6", "0", "0", "0", "1" ], "divisor": [ "6", "0", "0", "0", "5" ], "quotient": [ "0", "3" ], "remainder": [ "2", "2" ] }, { "dividend": [ "6", "0", "0", "0", "5" ], "divisor": [ "2", "2" ], "quotient": [ "1", "6", "1", "6" ], "remainder": [ "4" ] }, { "dividend": [ "2", "2" ], "divisor": [ "4" ], "quotient": [ "4", "4" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "2", "1" ], [ "3", "1" ], [ "5", "5", "2", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "2", "6", "0", "0", "0", "1" ], "factor": [ "2", "1" ], "quotient": [ "1", "6", "4", "5", "1" ] }, { "dividend": [ "1", "6", "4", "5", "1" ], "factor": [ "3", "1" ], "quotient": [ "5", "5", "2", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "2", "1" ], "frobeniusRemainders": [ [ "5" ], [ "5" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "3", "1" ], "frobeniusRemainders": [ [ "4" ], [ "4" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "5", "5", "2", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "2", "2", "3" ], [ "3", "4", "4" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "2", "1", "3" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "5", "5", "2", "1" ], "divisor": [ "2", "1", "3" ], "quotient": [ "6", "5" ], "remainder": [ "0", "3" ] }, { "dividend": [ "2", "1", "3" ], "divisor": [ "0", "3" ], "quotient": [ "5", "1" ], "remainder": [ "2" ] }, { "dividend": [ "0", "3" ], "divisor": [ "2" ], "quotient": [ "0", "5" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "2", "6", "0", "0", "0", "1" ], "cycleType": "1,1,3" }, { "prime": 11, "reduced": [ "5", "9", "0", "0", "0", "1" ], "derivative": [ "9", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "5", "9", "0", "0", "0", "1" ], "divisor": [ "9", "0", "0", "0", "5" ], "quotient": [ "0", "9" ], "remainder": [ "5", "5" ] }, { "dividend": [ "9", "0", "0", "0", "5" ], "divisor": [ "5", "5" ], "quotient": [ "10", "1", "10", "1" ], "remainder": [ "3" ] }, { "dividend": [ "5", "5" ], "divisor": [ "3" ], "quotient": [ "9", "9" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "8", "1" ], [ "9", "1" ], [ "10", "8", "5", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "5", "9", "0", "0", "0", "1" ], "factor": [ "8", "1" ], "quotient": [ "2", "5", "9", "3", "1" ] }, { "dividend": [ "2", "5", "9", "3", "1" ], "factor": [ "9", "1" ], "quotient": [ "10", "8", "5", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "8", "1" ], "frobeniusRemainders": [ [ "3" ], [ "3" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "9", "1" ], "frobeniusRemainders": [ [ "2" ], [ "2" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "10", "8", "5", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "4", "4", "4" ], [ "2", "6", "7" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "4", "3", "4" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "10", "8", "5", "1" ], "divisor": [ "4", "3", "4" ], "quotient": [ "10", "3" ], "remainder": [ "3", "10" ] }, { "dividend": [ "4", "3", "4" ], "divisor": [ "3", "10" ], "quotient": [ "7", "7" ], "remainder": [ "5" ] }, { "dividend": [ "3", "10" ], "divisor": [ "5" ], "quotient": [ "5", "2" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "5", "9", "0", "0", "0", "1" ], "cycleType": "1,1,3" }, { "prime": 13, "reduced": [ "3", "7", "0", "0", "0", "1" ], "derivative": [ "7", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "3", "7", "0", "0", "0", "1" ], "divisor": [ "7", "0", "0", "0", "5" ], "quotient": [ "0", "8" ], "remainder": [ "3", "3" ] }, { "dividend": [ "7", "0", "0", "0", "5" ], "divisor": [ "3", "3" ], "quotient": [ "7", "6", "7", "6" ], "remainder": [ "12" ] }, { "dividend": [ "3", "3" ], "divisor": [ "12" ], "quotient": [ "10", "10" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "3", "7", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "3", "7", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "9", "8", "0", "9", "3" ], [ "12", "12", "10", "10", "4" ], [ "10", "10", "12", "2", "12" ], [ "8", "8", "4", "5", "7" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "9", "7", "0", "9", "3" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "3", "7", "0", "0", "0", "1" ], "divisor": [ "9", "7", "0", "9", "3" ], "quotient": [ "12", "9" ], "remainder": [ "12", "11", "2", "9" ] }, { "dividend": [ "9", "7", "0", "9", "3" ], "divisor": [ "12", "11", "2", "9" ], "quotient": [ "12", "9" ], "remainder": [ "8", "1", "7" ] }, { "dividend": [ "12", "11", "2", "9" ], "divisor": [ "8", "1", "7" ], "quotient": [ "7", "5" ], "remainder": [ "8", "3" ] }, { "dividend": [ "8", "1", "7" ], "divisor": [ "8", "3" ], "quotient": [ "10", "11" ], "remainder": [ "6" ] }, { "dividend": [ "8", "3" ], "divisor": [ "6" ], "quotient": [ "10", "7" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "3", "7", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 17, "reduced": [ "16", "3", "0", "0", "0", "1" ], "derivative": [ "3", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "16", "3", "0", "0", "0", "1" ], "divisor": [ "3", "0", "0", "0", "5" ], "quotient": [ "0", "7" ], "remainder": [ "16", "16" ] }, { "dividend": [ "3", "0", "0", "0", "5" ], "divisor": [ "16", "16" ], "quotient": [ "5", "12", "5", "12" ], "remainder": [ "8" ] }, { "dividend": [ "16", "16" ], "divisor": [ "8" ], "quotient": [ "2", "2" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "4", "1" ], [ "8", "1" ], [ "9", "10", "5", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "16", "3", "0", "0", "0", "1" ], "factor": [ "4", "1" ], "quotient": [ "4", "4", "16", "13", "1" ] }, { "dividend": [ "4", "4", "16", "13", "1" ], "factor": [ "8", "1" ], "quotient": [ "9", "10", "5", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "4", "1" ], "frobeniusRemainders": [ [ "13" ], [ "13" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "8", "1" ], "frobeniusRemainders": [ [ "9" ], [ "9" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "9", "10", "5", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "11", "3", "9" ], [ "1", "13", "8" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "11", "2", "9" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "9", "10", "5", "1" ], "divisor": [ "11", "2", "9" ], "quotient": [ "2", "2" ], "remainder": [ "4", "1" ] }, { "dividend": [ "11", "2", "9" ], "divisor": [ "4", "1" ], "quotient": [ "0", "9" ], "remainder": [ "11" ] }, { "dividend": [ "4", "1" ], "divisor": [ "11" ], "quotient": [ "5", "14" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "16", "3", "0", "0", "0", "1" ], "cycleType": "1,1,3" }, { "prime": 19, "reduced": [ "16", "1", "0", "0", "0", "1" ], "derivative": [ "1", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "16", "1", "0", "0", "0", "1" ], "divisor": [ "1", "0", "0", "0", "5" ], "quotient": [ "0", "4" ], "remainder": [ "16", "16" ] }, { "dividend": [ "1", "0", "0", "0", "5" ], "divisor": [ "16", "16" ], "quotient": [ "8", "11", "8", "11" ], "remainder": [ "6" ] }, { "dividend": [ "16", "16" ], "divisor": [ "6" ], "quotient": [ "9", "9" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "16", "1", "0", "0", "0", "1" ] ], "degrees": [ 5 ], "divisions": [], "irreducibilityCertificates": [ { "factor": [ "16", "1", "0", "0", "0", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "14", "16", "7", "1", "8" ], [ "2", "5", "11", "17", "12" ], [ "10", "5", "10", "7", "3" ], [ "12", "11", "10", "13", "15" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 5, "iteration": 1, "difference": [ "14", "15", "7", "1", "8" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "16", "1", "0", "0", "0", "1" ], "divisor": [ "14", "15", "7", "1", "8" ], "quotient": [ "8", "12" ], "remainder": [ "18", "17", "11", "3" ] }, { "dividend": [ "14", "15", "7", "1", "8" ], "divisor": [ "18", "17", "11", "3" ], "quotient": [ "18", "9" ], "remainder": [ "13", "3", "17" ] }, { "dividend": [ "18", "17", "11", "3" ], "divisor": [ "13", "3", "17" ], "quotient": [ "16", "8" ], "remainder": [ "0", "17" ] }, { "dividend": [ "13", "3", "17" ], "divisor": [ "0", "17" ], "quotient": [ "8", "1" ], "remainder": [ "13" ] }, { "dividend": [ "0", "17" ], "divisor": [ "13" ], "quotient": [ "0", "13" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "16", "1", "0", "0", "0", "1" ], "cycleType": "5" }, { "prime": 23, "reduced": [ "16", "20", "0", "0", "0", "1" ], "derivative": [ "20", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "16", "20", "0", "0", "0", "1" ], "divisor": [ "20", "0", "0", "0", "5" ], "quotient": [ "0", "14" ], "remainder": [ "16", "16" ] }, { "dividend": [ "20", "0", "0", "0", "5" ], "divisor": [ "16", "16" ], "quotient": [ "4", "19", "4", "19" ], "remainder": [ "2" ] }, { "dividend": [ "16", "16" ], "divisor": [ "2" ], "quotient": [ "8", "8" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "17", "1" ], [ "14", "12", "1" ], [ "2", "17", "1" ] ], "degrees": [ 1, 2, 2 ], "divisions": [ { "dividend": [ "16", "20", "0", "0", "0", "1" ], "factor": [ "17", "1" ], "quotient": [ "5", "9", "13", "6", "1" ] }, { "dividend": [ "5", "9", "13", "6", "1" ], "factor": [ "14", "12", "1" ], "quotient": [ "2", "17", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "17", "1" ], "frobeniusRemainders": [ [ "6" ], [ "6" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "14", "12", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "11", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "11", "21" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "14", "12", "1" ], "divisor": [ "11", "21" ], "quotient": [ "20", "11" ], "remainder": [ "1" ] }, { "dividend": [ "11", "21" ], "divisor": [ "1" ], "quotient": [ "11", "21" ], "remainder": [ "0" ] } ] } ] }, { "factor": [ "2", "17", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "6", "22" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 2, "iteration": 1, "difference": [ "6", "21" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "2", "17", "1" ], "divisor": [ "6", "21" ], "quotient": [ "13", "11" ], "remainder": [ "16" ] }, { "dividend": [ "6", "21" ], "divisor": [ "16" ], "quotient": [ "9", "20" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "16", "20", "0", "0", "0", "1" ], "cycleType": "1,2,2" }, { "prime": 29, "reduced": [ "16", "20", "0", "0", "0", "1" ], "derivative": [ "20", "0", "0", "0", "5" ], "gcd": [ "1" ], "gcdSteps": [ { "dividend": [ "16", "20", "0", "0", "0", "1" ], "divisor": [ "20", "0", "0", "0", "5" ], "quotient": [ "0", "6" ], "remainder": [ "16", "16" ] }, { "dividend": [ "20", "0", "0", "0", "5" ], "divisor": [ "16", "16" ], "quotient": [ "16", "13", "16", "13" ], "remainder": [ "25" ] }, { "dividend": [ "16", "16" ], "divisor": [ "25" ], "quotient": [ "25", "25" ], "remainder": [ "0" ] } ], "good": true, "factors": [ [ "21", "1" ], [ "26", "1" ], [ "20", "10", "11", "1" ] ], "degrees": [ 1, 1, 3 ], "divisions": [ { "dividend": [ "16", "20", "0", "0", "0", "1" ], "factor": [ "21", "1" ], "quotient": [ "27", "19", "6", "8", "1" ] }, { "dividend": [ "27", "19", "6", "8", "1" ], "factor": [ "26", "1" ], "quotient": [ "20", "10", "11", "1" ] } ], "irreducibilityCertificates": [ { "factor": [ "21", "1" ], "frobeniusRemainders": [ [ "8" ], [ "8" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "26", "1" ], "frobeniusRemainders": [ [ "3" ], [ "3" ] ], "terminalDifference": [ "0" ], "tests": [] }, { "factor": [ "20", "10", "11", "1" ], "frobeniusRemainders": [ [ "0", "1" ], [ "20", "11", "16" ], [ "27", "17", "13" ], [ "0", "1" ] ], "terminalDifference": [ "0" ], "tests": [ { "divisor": 3, "iteration": 1, "difference": [ "20", "10", "16" ], "gcd": [ "1" ], "steps": [ { "dividend": [ "20", "10", "11", "1" ], "divisor": [ "20", "10", "16" ], "quotient": [ "19", "20" ], "remainder": [ "17" ] }, { "dividend": [ "20", "10", "16" ], "divisor": [ "17" ], "quotient": [ "8", "4", "18" ], "remainder": [ "0" ] } ] } ] } ], "product": [ "16", "20", "0", "0", "0", "1" ], "cycleType": "1,1,3" } ], "eisenstein": [ { "prime": 2, "divisible": [ true, true, true, true, true ], "constantNotDivisibleBySquare": false, "valid": false }, { "prime": 3, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 5, "divisible": [ false, true, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 7, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 11, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 13, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 17, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 19, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 23, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false }, { "prime": 29, "divisible": [ false, false, true, true, true ], "constantNotDivisibleBySquare": true, "valid": false } ], "construction": null }, "selectedPrime": 7, "evidence": [ { "kind": "cycle", "source": "prime", "prime": 3, "type": "5" }, { "kind": "cycle", "source": "prime", "prime": 7, "type": "1,1,3" }, { "kind": "cycle", "source": "prime", "prime": 11, "type": "1,1,3" }, { "kind": "cycle", "source": "complex-conjugation", "type": "1,2,2", "realRoots": 1, "complexPairs": 2 }, { "kind": "parity", "source": "discriminant", "square": true } ], "unusedEvidence": [ { "prime": 2, "reason": "约化有重因子，不能用此行作普通Frobenius循环型证据" }, { "prime": 5, "reason": "约化有重因子，不能用此行作普通Frobenius循环型证据" } ], "realConjugation": { "rootDegree": 5, "realCount": 1, "complexPairs": 2, "type": "1,2,2" }, "classification": { "applicable": true, "steps": [ { "evidence": { "kind": "cycle", "source": "prime", "prime": 3, "type": "5" }, "before": [ "C5", "D5", "F20", "A5", "S5" ], "remaining": [ "C5", "D5", "F20", "A5", "S5" ], "excluded": [] }, { "evidence": { "kind": "cycle", "source": "prime", "prime": 7, "type": "1,1,3" }, "before": [ "C5", "D5", "F20", "A5", "S5" ], "remaining": [ "A5", "S5" ], "excluded": [ { "group": "C5", "reason": "群中没有该循环型" }, { "group": "D5", "reason": "群中没有该循环型" }, { "group": "F20", "reason": "群中没有该循环型" } ] }, { "evidence": { "kind": "cycle", "source": "prime", "prime": 11, "type": "1,1,3" }, "before": [ "A5", "S5" ], "remaining": [ "A5", "S5" ], "excluded": [] }, { "evidence": { "kind": "cycle", "source": "complex-conjugation", "type": "1,2,2", "realRoots": 1, "complexPairs": 2 }, "before": [ "A5", "S5" ], "remaining": [ "A5", "S5" ], "excluded": [] }, { "evidence": { "kind": "parity", "source": "discriminant", "square": true }, "before": [ "A5", "S5" ], "remaining": [ "A5" ], "excluded": [ { "group": "S5", "reason": "判别式平方性与符号像不相容" } ] } ], "remaining": [ "A5" ], "solvable": false, "exactGroup": "A5", "reason": "全部剩余候选不可解，因此不能由根式解" }, "candidateModels": [ { "id": "C5", "order": 5, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "labels": [ "()", "(1 2 3 4 5)", "(1 3 5 2 4)", "(1 4 2 5 3)", "(1 5 4 3 2)" ], "multiplication": [ [ 0, 1, 2, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ] ], "inverses": [ 0, 4, 3, 2, 1 ], "cycleTypes": [ "1,1,1,1,1", "5", "5", "5", "5" ], "availableTypes": [ "1,1,1,1,1", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 0 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 0 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 4, 0, 0 ], [ 4, 1, 0 ], [ 4, 2, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "D5", "order": 10, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], [ 1, 0, 8, 9, 7, 6, 5, 4, 2, 3 ], [ 2, 3, 0, 1, 8, 9, 7, 6, 4, 5 ], [ 3, 2, 4, 5, 6, 7, 9, 8, 0, 1 ], [ 4, 5, 3, 2, 0, 1, 8, 9, 6, 7 ], [ 5, 4, 6, 7, 9, 8, 1, 0, 3, 2 ], [ 6, 7, 5, 4, 3, 2, 0, 1, 9, 8 ], [ 7, 6, 9, 8, 1, 0, 2, 3, 5, 4 ], [ 8, 9, 1, 0, 2, 3, 4, 5, 7, 6 ], [ 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 8, 4, 7, 6, 5, 3, 9 ], "cycleTypes": [ "1,1,1,1,1", "1,2,2", "1,2,2", "5", "1,2,2", "5", "1,2,2", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 7 ], [ 1, 3, 7 ], [ 1, 4, 3 ], [ 1, 5, 3 ], [ 1, 6, 8 ], [ 1, 7, 8 ], [ 1, 8, 5 ], [ 1, 9, 5 ], [ 2, 0, 0 ], [ 2, 1, 5 ], [ 2, 2, 0 ], [ 2, 3, 7 ], [ 2, 4, 7 ], [ 2, 5, 3 ], [ 2, 6, 3 ], [ 2, 7, 8 ], [ 2, 8, 5 ], [ 2, 9, 8 ], [ 3, 0, 0 ], [ 3, 1, 5 ], [ 3, 2, 5 ], [ 3, 3, 0 ], [ 3, 4, 5 ], [ 3, 5, 0 ], [ 3, 6, 5 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 3, 9, 5 ], [ 4, 0, 0 ], [ 4, 1, 8 ], [ 4, 2, 5 ], [ 4, 3, 7 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 7 ], [ 4, 7, 8 ], [ 4, 8, 5 ], [ 4, 9, 3 ], [ 5, 0, 0 ], [ 5, 1, 8 ], [ 5, 2, 8 ], [ 5, 3, 0 ], [ 5, 4, 8 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 5, 9, 8 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 8 ], [ 6, 3, 7 ], [ 6, 4, 5 ], [ 6, 5, 3 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 5 ], [ 6, 9, 7 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 3 ], [ 7, 3, 0 ], [ 7, 4, 3 ], [ 7, 5, 0 ], [ 7, 6, 3 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 7, 9, 3 ], [ 8, 0, 0 ], [ 8, 1, 7 ], [ 8, 2, 7 ], [ 8, 3, 0 ], [ 8, 4, 7 ], [ 8, 5, 0 ], [ 8, 6, 7 ], [ 8, 7, 0 ], [ 8, 8, 0 ], [ 8, 9, 7 ], [ 9, 0, 0 ], [ 9, 1, 7 ], [ 9, 2, 3 ], [ 9, 3, 7 ], [ 9, 4, 8 ], [ 9, 5, 3 ], [ 9, 6, 5 ], [ 9, 7, 8 ], [ 9, 8, 5 ], [ 9, 9, 0 ] ], "generators": [ 0, 3, 5, 7, 8 ], "next": [ 0, 3, 5, 7, 8 ], "words": { "0": [], "3": [ 3 ], "5": [ 5 ], "7": [ 7 ], "8": [ 8 ] } }, { "elements": [ 0, 3, 5, 7, 8 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 5, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 5, 0 ], [ 3, 7, 0 ], [ 3, 8, 0 ], [ 5, 0, 0 ], [ 5, 3, 0 ], [ 5, 5, 0 ], [ 5, 7, 0 ], [ 5, 8, 0 ], [ 7, 0, 0 ], [ 7, 3, 0 ], [ 7, 5, 0 ], [ 7, 7, 0 ], [ 7, 8, 0 ], [ 8, 0, 0 ], [ 8, 3, 0 ], [ 8, 5, 0 ], [ 8, 7, 0 ], [ 8, 8, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "F20", "order": 20, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 2, 4, 1, 3 ], [ 0, 3, 1, 4, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 3, 4, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 4, 2, 0, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 1, 3, 0 ], [ 3, 0, 2, 4, 1 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 1, 0, 4 ], [ 3, 4, 0, 1, 2 ], [ 4, 0, 1, 2, 3 ], [ 4, 1, 3, 0, 2 ], [ 4, 2, 0, 3, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(2 3 5 4)", "(2 4 5 3)", "(2 5)(3 4)", "(1 2)(3 5)", "(1 2 3 4 5)", "(1 2 4 3)", "(1 2 5 4)", "(1 3 4 2)", "(1 3)(4 5)", "(1 3 5 2 4)", "(1 3 2 5)", "(1 4 5 2)", "(1 4 3 5)", "(1 4)(2 3)", "(1 4 2 5 3)", "(1 5 4 3 2)", "(1 5 3 4)", "(1 5 2 3)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], [ 1, 3, 0, 2, 8, 11, 9, 10, 16, 18, 17, 19, 4, 5, 7, 6, 12, 14, 15, 13 ], [ 2, 0, 3, 1, 12, 13, 15, 14, 4, 6, 7, 5, 16, 19, 17, 18, 8, 10, 9, 11 ], [ 3, 2, 1, 0, 16, 19, 18, 17, 12, 15, 14, 13, 8, 11, 10, 9, 4, 7, 6, 5 ], [ 4, 7, 6, 5, 0, 3, 2, 1, 17, 16, 19, 18, 13, 12, 15, 14, 9, 8, 11, 10 ], [ 5, 6, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12, 17, 18, 19, 16, 0, 1, 2, 3 ], [ 6, 4, 5, 7, 13, 12, 14, 15, 0, 2, 1, 3, 9, 10, 8, 11, 17, 19, 16, 18 ], [ 7, 5, 4, 6, 17, 18, 16, 19, 9, 11, 8, 10, 0, 3, 1, 2, 13, 15, 14, 12 ], [ 8, 10, 9, 11, 1, 2, 0, 3, 14, 12, 13, 15, 5, 4, 6, 7, 18, 16, 19, 17 ], [ 9, 8, 11, 10, 5, 4, 7, 6, 1, 0, 3, 2, 18, 17, 16, 19, 14, 13, 12, 15 ], [ 10, 11, 8, 9, 14, 15, 12, 13, 18, 19, 16, 17, 1, 2, 3, 0, 5, 6, 7, 4 ], [ 11, 9, 10, 8, 18, 17, 19, 16, 5, 7, 6, 4, 14, 15, 13, 12, 1, 3, 0, 2 ], [ 12, 14, 15, 13, 2, 1, 3, 0, 10, 8, 11, 9, 19, 16, 18, 17, 6, 4, 5, 7 ], [ 13, 15, 14, 12, 6, 7, 5, 4, 19, 17, 18, 16, 10, 9, 11, 8, 2, 0, 3, 1 ], [ 14, 13, 12, 15, 10, 9, 8, 11, 6, 5, 4, 7, 2, 1, 0, 3, 19, 18, 17, 16 ], [ 15, 12, 13, 14, 19, 16, 17, 18, 2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9 ], [ 16, 17, 18, 19, 3, 0, 1, 2, 7, 4, 5, 6, 11, 8, 9, 10, 15, 12, 13, 14 ], [ 17, 19, 16, 18, 7, 6, 4, 5, 15, 13, 12, 14, 3, 0, 2, 1, 11, 9, 10, 8 ], [ 18, 16, 19, 17, 11, 8, 10, 9, 3, 1, 2, 0, 15, 14, 12, 13, 7, 5, 4, 6 ], [ 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 4, 16, 8, 12, 6, 9, 15, 18, 7, 17, 14, 10, 5, 13, 11, 19 ], "cycleTypes": [ "1,1,1,1,1", "1,4", "1,4", "1,2,2", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "1,4", "1,4", "1,4", "1,2,2", "5", "5", "1,4", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,2,2", "1,4", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 0 ], [ 1, 4, 5 ], [ 1, 5, 5 ], [ 1, 6, 5 ], [ 1, 7, 5 ], [ 1, 8, 10 ], [ 1, 9, 10 ], [ 1, 10, 10 ], [ 1, 11, 10 ], [ 1, 12, 15 ], [ 1, 13, 15 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 16 ], [ 1, 17, 16 ], [ 1, 18, 16 ], [ 1, 19, 16 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 0 ], [ 2, 4, 10 ], [ 2, 5, 10 ], [ 2, 6, 10 ], [ 2, 7, 10 ], [ 2, 8, 16 ], [ 2, 9, 16 ], [ 2, 10, 16 ], [ 2, 11, 16 ], [ 2, 12, 5 ], [ 2, 13, 5 ], [ 2, 14, 5 ], [ 2, 15, 5 ], [ 2, 16, 15 ], [ 2, 17, 15 ], [ 2, 18, 15 ], [ 2, 19, 15 ], [ 3, 0, 0 ], [ 3, 1, 0 ], [ 3, 2, 0 ], [ 3, 3, 0 ], [ 3, 4, 15 ], [ 3, 5, 15 ], [ 3, 6, 15 ], [ 3, 7, 15 ], [ 3, 8, 5 ], [ 3, 9, 5 ], [ 3, 10, 5 ], [ 3, 11, 5 ], [ 3, 12, 16 ], [ 3, 13, 16 ], [ 3, 14, 16 ], [ 3, 15, 16 ], [ 3, 16, 10 ], [ 3, 17, 10 ], [ 3, 18, 10 ], [ 3, 19, 10 ], [ 4, 0, 0 ], [ 4, 1, 16 ], [ 4, 2, 15 ], [ 4, 3, 10 ], [ 4, 4, 0 ], [ 4, 5, 15 ], [ 4, 6, 10 ], [ 4, 7, 5 ], [ 4, 8, 16 ], [ 4, 9, 15 ], [ 4, 10, 5 ], [ 4, 11, 0 ], [ 4, 12, 15 ], [ 4, 13, 10 ], [ 4, 14, 5 ], [ 4, 15, 16 ], [ 4, 16, 10 ], [ 4, 17, 5 ], [ 4, 18, 0 ], [ 4, 19, 16 ], [ 5, 0, 0 ], [ 5, 1, 16 ], [ 5, 2, 15 ], [ 5, 3, 10 ], [ 5, 4, 10 ], [ 5, 5, 0 ], [ 5, 6, 16 ], [ 5, 7, 15 ], [ 5, 8, 15 ], [ 5, 9, 10 ], [ 5, 10, 0 ], [ 5, 11, 16 ], [ 5, 12, 16 ], [ 5, 13, 15 ], [ 5, 14, 10 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 5, 17, 16 ], [ 5, 18, 15 ], [ 5, 19, 10 ], [ 6, 0, 0 ], [ 6, 1, 16 ], [ 6, 2, 15 ], [ 6, 3, 10 ], [ 6, 4, 15 ], [ 6, 5, 5 ], [ 6, 6, 0 ], [ 6, 7, 16 ], [ 6, 8, 0 ], [ 6, 9, 16 ], [ 6, 10, 10 ], [ 6, 11, 5 ], [ 6, 12, 10 ], [ 6, 13, 5 ], [ 6, 14, 0 ], [ 6, 15, 15 ], [ 6, 16, 16 ], [ 6, 17, 15 ], [ 6, 18, 10 ], [ 6, 19, 5 ], [ 7, 0, 0 ], [ 7, 1, 16 ], [ 7, 2, 15 ], [ 7, 3, 10 ], [ 7, 4, 16 ], [ 7, 5, 10 ], [ 7, 6, 5 ], [ 7, 7, 0 ], [ 7, 8, 10 ], [ 7, 9, 5 ], [ 7, 10, 16 ], [ 7, 11, 15 ], [ 7, 12, 0 ], [ 7, 13, 16 ], [ 7, 14, 15 ], [ 7, 15, 5 ], [ 7, 16, 15 ], [ 7, 17, 10 ], [ 7, 18, 5 ], [ 7, 19, 0 ], [ 8, 0, 0 ], [ 8, 1, 15 ], [ 8, 2, 5 ], [ 8, 3, 16 ], [ 8, 4, 5 ], [ 8, 5, 10 ], [ 8, 6, 0 ], [ 8, 7, 15 ], [ 8, 8, 0 ], [ 8, 9, 15 ], [ 8, 10, 16 ], [ 8, 11, 10 ], [ 8, 12, 16 ], [ 8, 13, 10 ], [ 8, 14, 0 ], [ 8, 15, 5 ], [ 8, 16, 15 ], [ 8, 17, 5 ], [ 8, 18, 16 ], [ 8, 19, 10 ], [ 9, 0, 0 ], [ 9, 1, 15 ], [ 9, 2, 5 ], [ 9, 3, 16 ], [ 9, 4, 10 ], [ 9, 5, 15 ], [ 9, 6, 5 ], [ 9, 7, 16 ], [ 9, 8, 10 ], [ 9, 9, 0 ], [ 9, 10, 5 ], [ 9, 11, 16 ], [ 9, 12, 10 ], [ 9, 13, 0 ], [ 9, 14, 15 ], [ 9, 15, 16 ], [ 9, 16, 10 ], [ 9, 17, 0 ], [ 9, 18, 15 ], [ 9, 19, 5 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 5 ], [ 10, 3, 16 ], [ 10, 4, 16 ], [ 10, 5, 0 ], [ 10, 6, 15 ], [ 10, 7, 5 ], [ 10, 8, 5 ], [ 10, 9, 16 ], [ 10, 10, 0 ], [ 10, 11, 15 ], [ 10, 12, 15 ], [ 10, 13, 5 ], [ 10, 14, 16 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 10, 17, 15 ], [ 10, 18, 5 ], [ 10, 19, 16 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 5 ], [ 11, 3, 16 ], [ 11, 4, 0 ], [ 11, 5, 5 ], [ 11, 6, 16 ], [ 11, 7, 10 ], [ 11, 8, 15 ], [ 11, 9, 5 ], [ 11, 10, 10 ], [ 11, 11, 0 ], [ 11, 12, 5 ], [ 11, 13, 16 ], [ 11, 14, 10 ], [ 11, 15, 15 ], [ 11, 16, 16 ], [ 11, 17, 10 ], [ 11, 18, 0 ], [ 11, 19, 15 ], [ 12, 0, 0 ], [ 12, 1, 10 ], [ 12, 2, 16 ], [ 12, 3, 5 ], [ 12, 4, 10 ], [ 12, 5, 5 ], [ 12, 6, 15 ], [ 12, 7, 0 ], [ 12, 8, 5 ], [ 12, 9, 15 ], [ 12, 10, 10 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 10 ], [ 12, 14, 16 ], [ 12, 15, 15 ], [ 12, 16, 16 ], [ 12, 17, 5 ], [ 12, 18, 15 ], [ 12, 19, 0 ], [ 13, 0, 0 ], [ 13, 1, 10 ], [ 13, 2, 16 ], [ 13, 3, 5 ], [ 13, 4, 15 ], [ 13, 5, 10 ], [ 13, 6, 16 ], [ 13, 7, 5 ], [ 13, 8, 15 ], [ 13, 9, 0 ], [ 13, 10, 16 ], [ 13, 11, 5 ], [ 13, 12, 15 ], [ 13, 13, 0 ], [ 13, 14, 10 ], [ 13, 15, 5 ], [ 13, 16, 15 ], [ 13, 17, 0 ], [ 13, 18, 10 ], [ 13, 19, 16 ], [ 14, 0, 0 ], [ 14, 1, 10 ], [ 14, 2, 16 ], [ 14, 3, 5 ], [ 14, 4, 16 ], [ 14, 5, 15 ], [ 14, 6, 0 ], [ 14, 7, 10 ], [ 14, 8, 0 ], [ 14, 9, 10 ], [ 14, 10, 5 ], [ 14, 11, 15 ], [ 14, 12, 5 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 16 ], [ 14, 16, 10 ], [ 14, 17, 16 ], [ 14, 18, 5 ], [ 14, 19, 15 ], [ 15, 0, 0 ], [ 15, 1, 10 ], [ 15, 2, 16 ], [ 15, 3, 5 ], [ 15, 4, 5 ], [ 15, 5, 0 ], [ 15, 6, 10 ], [ 15, 7, 16 ], [ 15, 8, 16 ], [ 15, 9, 5 ], [ 15, 10, 0 ], [ 15, 11, 10 ], [ 15, 12, 10 ], [ 15, 13, 16 ], [ 15, 14, 5 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 15, 17, 10 ], [ 15, 18, 16 ], [ 15, 19, 5 ], [ 16, 0, 0 ], [ 16, 1, 5 ], [ 16, 2, 10 ], [ 16, 3, 15 ], [ 16, 4, 15 ], [ 16, 5, 0 ], [ 16, 6, 5 ], [ 16, 7, 10 ], [ 16, 8, 10 ], [ 16, 9, 15 ], [ 16, 10, 0 ], [ 16, 11, 5 ], [ 16, 12, 5 ], [ 16, 13, 10 ], [ 16, 14, 15 ], [ 16, 15, 0 ], [ 16, 16, 0 ], [ 16, 17, 5 ], [ 16, 18, 10 ], [ 16, 19, 15 ], [ 17, 0, 0 ], [ 17, 1, 5 ], [ 17, 2, 10 ], [ 17, 3, 15 ], [ 17, 4, 16 ], [ 17, 5, 5 ], [ 17, 6, 10 ], [ 17, 7, 15 ], [ 17, 8, 16 ], [ 17, 9, 0 ], [ 17, 10, 10 ], [ 17, 11, 15 ], [ 17, 12, 16 ], [ 17, 13, 0 ], [ 17, 14, 5 ], [ 17, 15, 15 ], [ 17, 16, 16 ], [ 17, 17, 0 ], [ 17, 18, 5 ], [ 17, 19, 10 ], [ 18, 0, 0 ], [ 18, 1, 5 ], [ 18, 2, 10 ], [ 18, 3, 15 ], [ 18, 4, 0 ], [ 18, 5, 10 ], [ 18, 6, 15 ], [ 18, 7, 16 ], [ 18, 8, 5 ], [ 18, 9, 10 ], [ 18, 10, 16 ], [ 18, 11, 0 ], [ 18, 12, 10 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 5 ], [ 18, 16, 15 ], [ 18, 17, 16 ], [ 18, 18, 0 ], [ 18, 19, 5 ], [ 19, 0, 0 ], [ 19, 1, 5 ], [ 19, 2, 10 ], [ 19, 3, 15 ], [ 19, 4, 5 ], [ 19, 5, 15 ], [ 19, 6, 16 ], [ 19, 7, 0 ], [ 19, 8, 15 ], [ 19, 9, 16 ], [ 19, 10, 5 ], [ 19, 11, 10 ], [ 19, 12, 0 ], [ 19, 13, 5 ], [ 19, 14, 10 ], [ 19, 15, 16 ], [ 19, 16, 10 ], [ 19, 17, 15 ], [ 19, 18, 16 ], [ 19, 19, 0 ] ], "generators": [ 0, 5, 10, 15, 16 ], "next": [ 0, 5, 10, 15, 16 ], "words": { "0": [], "5": [ 5 ], "10": [ 10 ], "15": [ 15 ], "16": [ 16 ] } }, { "elements": [ 0, 5, 10, 15, 16 ], "commutators": [ [ 0, 0, 0 ], [ 0, 5, 0 ], [ 0, 10, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 5, 0, 0 ], [ 5, 5, 0 ], [ 5, 10, 0 ], [ 5, 15, 0 ], [ 5, 16, 0 ], [ 10, 0, 0 ], [ 10, 5, 0 ], [ 10, 10, 0 ], [ 10, 15, 0 ], [ 10, 16, 0 ], [ 15, 0, 0 ], [ 15, 5, 0 ], [ 15, 10, 0 ], [ 15, 15, 0 ], [ 15, 16, 0 ], [ 16, 0, 0 ], [ 16, 5, 0 ], [ 16, 10, 0 ], [ 16, 15, 0 ], [ 16, 16, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } }, { "elements": [ 0 ], "commutators": [ [ 0, 0, 0 ] ], "generators": [ 0 ], "next": [ 0 ], "words": { "0": [] } } ], "solvable": true, "affine": true }, { "id": "A5", "order": 60, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(3 4 5)", "(3 5 4)", "(2 3)(4 5)", "(2 3 4)", "(2 3 5)", "(2 4 3)", "(2 4 5)", "(2 4)(3 5)", "(2 5 3)", "(2 5 4)", "(2 5)(3 4)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5)", "(1 2 5 3 4)", "(1 3 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3)(4 5)", "(1 3 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 4 2 5)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5)", "(1 4)(3 5)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 5 4 3 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 3)", "(1 5 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], [ 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35 ], [ 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44 ], [ 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 24, 26, 25, 27, 29, 28, 33, 34, 35, 30, 31, 32, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46 ], [ 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53 ], [ 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20 ], [ 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 25, 24, 26, 30, 31, 32, 27, 28, 29, 33, 35, 34, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55 ], [ 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 37, 38, 36, 42, 44, 43, 45, 47, 46, 39, 40, 41, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22 ], [ 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 13, 14, 12, 18, 20, 19, 21, 23, 22, 15, 16, 17, 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29 ], [ 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 48, 50, 49, 51, 53, 52, 57, 58, 59, 54, 55, 56, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 38, 36, 37, 45, 46, 47, 39, 41, 40, 42, 44, 43, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31 ], [ 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 49, 48, 50, 54, 55, 56, 51, 52, 53, 57, 59, 58, 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 14, 12, 13, 21, 22, 23, 15, 17, 16, 18, 20, 19, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40 ], [ 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 50, 49, 48, 57, 59, 58, 54, 56, 55, 51, 53, 52, 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 26, 25, 24, 33, 35, 34, 30, 32, 31, 27, 29, 28, 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16 ], [ 12, 14, 13, 15, 17, 16, 21, 22, 23, 18, 19, 20, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47 ], [ 13, 12, 14, 18, 19, 20, 15, 16, 17, 21, 23, 22, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56 ], [ 14, 13, 12, 21, 23, 22, 18, 20, 19, 15, 17, 16, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32 ], [ 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 27, 28, 29, 24, 25, 26, 31, 30, 32, 34, 33, 35, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57 ], [ 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ], [ 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 0, 2, 1, 3, 5, 4, 9, 10, 11, 6, 7, 8, 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38 ], [ 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 39, 41, 40, 36, 38, 37, 46, 45, 47, 43, 42, 44, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33 ], [ 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 40, 39, 41, 43, 42, 44, 36, 37, 38, 46, 47, 45, 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 1, 0, 2, 6, 7, 8, 3, 4, 5, 9, 11, 10, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49 ], [ 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 28, 29, 27, 31, 32, 30, 34, 35, 33, 24, 25, 26, 1, 2, 0, 6, 8, 7, 9, 11, 10, 3, 4, 5 ], [ 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 51, 52, 53, 48, 49, 50, 55, 54, 56, 58, 57, 59, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7, 29, 27, 28, 34, 33, 35, 24, 26, 25, 31, 32, 30, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42 ], [ 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 52, 53, 51, 55, 56, 54, 58, 59, 57, 48, 49, 50, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 41, 40, 39, 46, 47, 45, 43, 44, 42, 36, 38, 37, 2, 0, 1, 9, 10, 11, 3, 5, 4, 6, 8, 7 ], [ 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 53, 51, 52, 58, 57, 59, 48, 50, 49, 55, 56, 54, 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 2, 1, 0, 9, 11, 10, 6, 8, 7, 3, 5, 4, 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58 ], [ 25, 26, 24, 30, 32, 31, 33, 35, 34, 27, 28, 29, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 15, 16, 17, 12, 13, 14, 19, 18, 20, 22, 21, 23 ], [ 26, 24, 25, 33, 34, 35, 27, 29, 28, 30, 32, 31, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41 ], [ 27, 29, 28, 24, 26, 25, 34, 33, 35, 31, 30, 32, 15, 17, 16, 12, 14, 13, 22, 21, 23, 19, 18, 20, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45 ], [ 28, 27, 29, 31, 30, 32, 24, 25, 26, 34, 35, 33, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 3, 4, 5, 0, 1, 2, 7, 6, 8, 10, 9, 11, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50 ], [ 29, 28, 27, 34, 35, 33, 31, 32, 30, 24, 26, 25, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 3, 5, 4, 0, 2, 1, 10, 9, 11, 7, 6, 8 ], [ 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 42, 43, 44, 37, 36, 38, 40, 39, 41, 47, 45, 46, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9, 16, 15, 17, 19, 18, 20, 12, 13, 14, 22, 23, 21, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51 ], [ 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 43, 44, 42, 40, 41, 39, 47, 46, 45, 37, 36, 38, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 4, 3, 5, 7, 6, 8, 0, 1, 2, 10, 11, 9 ], [ 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 4, 5, 3, 7, 8, 6, 10, 11, 9, 0, 1, 2, 16, 17, 15, 19, 20, 18, 22, 23, 21, 12, 13, 14 ], [ 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 54, 56, 55, 49, 50, 48, 59, 57, 58, 52, 51, 53, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1, 44, 42, 43, 47, 45, 46, 37, 38, 36, 40, 41, 39, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18 ], [ 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 55, 54, 56, 52, 51, 53, 49, 48, 50, 59, 58, 57, 17, 15, 16, 22, 21, 23, 12, 14, 13, 19, 20, 18, 5, 3, 4, 10, 9, 11, 0, 2, 1, 7, 8, 6, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36 ], [ 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 56, 55, 54, 59, 58, 57, 52, 53, 51, 49, 50, 48, 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 17, 16, 15, 22, 23, 21, 19, 20, 18, 12, 14, 13, 5, 4, 3, 10, 11, 9, 7, 8, 6, 0, 2, 1 ], [ 36, 38, 37, 39, 41, 40, 45, 46, 47, 42, 43, 44, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34 ], [ 37, 36, 38, 42, 43, 44, 39, 40, 41, 45, 47, 46, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 30, 31, 32, 25, 24, 26, 28, 27, 29, 35, 33, 34, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52 ], [ 38, 37, 36, 45, 47, 46, 42, 44, 43, 39, 41, 40, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 18, 20, 19, 13, 14, 12, 23, 21, 22, 16, 15, 17 ], [ 39, 40, 41, 36, 37, 38, 43, 42, 44, 46, 45, 47, 18, 19, 20, 13, 12, 14, 16, 15, 17, 23, 21, 22, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54 ], [ 40, 41, 39, 43, 44, 42, 46, 47, 45, 36, 37, 38, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 6, 7, 8, 1, 0, 2, 4, 3, 5, 11, 9, 10 ], [ 41, 39, 40, 46, 45, 47, 36, 38, 37, 43, 44, 42, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 6, 8, 7, 1, 2, 0, 11, 9, 10, 4, 3, 5, 31, 32, 30, 28, 29, 27, 35, 34, 33, 25, 24, 26 ], [ 42, 44, 43, 37, 38, 36, 47, 45, 46, 40, 39, 41, 30, 32, 31, 25, 26, 24, 35, 33, 34, 28, 27, 29, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21 ], [ 43, 42, 44, 40, 39, 41, 37, 36, 38, 47, 46, 45, 31, 30, 32, 28, 27, 29, 25, 24, 26, 35, 34, 33, 19, 18, 20, 16, 15, 17, 13, 12, 14, 23, 22, 21, 7, 6, 8, 4, 3, 5, 1, 0, 2, 11, 10, 9, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 44, 43, 42, 47, 46, 45, 40, 41, 39, 37, 38, 36, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 19, 20, 18, 16, 17, 15, 23, 22, 21, 13, 12, 14, 7, 8, 6, 4, 5, 3, 11, 10, 9, 1, 0, 2 ], [ 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 57, 58, 59, 50, 48, 49, 53, 51, 52, 56, 54, 55, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3, 20, 18, 19, 23, 21, 22, 13, 14, 12, 16, 17, 15, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27 ], [ 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 58, 59, 57, 53, 52, 51, 56, 55, 54, 50, 48, 49, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12, 32, 31, 30, 35, 34, 33, 28, 29, 27, 25, 26, 24, 8, 6, 7, 11, 9, 10, 1, 2, 0, 4, 5, 3 ], [ 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 59, 57, 58, 56, 54, 55, 50, 49, 48, 53, 52, 51, 32, 30, 31, 35, 33, 34, 25, 26, 24, 28, 29, 27, 8, 7, 6, 11, 10, 9, 4, 5, 3, 1, 2, 0, 20, 19, 18, 23, 22, 21, 16, 17, 15, 13, 14, 12 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43 ], [ 49, 50, 48, 54, 56, 55, 57, 59, 58, 51, 52, 53, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 21, 22, 23, 14, 12, 13, 17, 15, 16, 20, 18, 19 ], [ 50, 48, 49, 57, 58, 59, 51, 53, 52, 54, 56, 55, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 45, 46, 47, 38, 36, 37, 41, 39, 40, 44, 42, 43, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 33, 35, 34, 26, 25, 24, 32, 30, 31, 29, 27, 28 ], [ 51, 53, 52, 48, 50, 49, 58, 57, 59, 55, 54, 56, 21, 23, 22, 14, 13, 12, 20, 18, 19, 17, 15, 16, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30 ], [ 52, 51, 53, 55, 54, 56, 48, 49, 50, 58, 59, 57, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 34, 33, 35, 29, 27, 28, 26, 24, 25, 32, 31, 30, 9, 10, 11, 2, 0, 1, 5, 3, 4, 8, 6, 7, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37 ], [ 53, 52, 51, 58, 59, 57, 55, 56, 54, 48, 50, 49, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 46, 47, 45, 41, 40, 39, 44, 43, 42, 38, 36, 37, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 9, 11, 10, 2, 1, 0, 8, 6, 7, 5, 3, 4 ], [ 54, 55, 56, 49, 48, 50, 52, 51, 53, 59, 57, 58, 33, 34, 35, 26, 24, 25, 29, 27, 28, 32, 30, 31, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6, 22, 21, 23, 17, 15, 16, 14, 12, 13, 20, 19, 18, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39 ], [ 55, 56, 54, 52, 53, 51, 59, 58, 57, 49, 48, 50, 34, 35, 33, 29, 28, 27, 32, 31, 30, 26, 24, 25, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 10, 9, 11, 5, 3, 4, 2, 0, 1, 8, 7, 6 ], [ 56, 54, 55, 59, 57, 58, 49, 50, 48, 52, 53, 51, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 47, 45, 46, 44, 42, 43, 38, 37, 36, 41, 40, 39, 10, 11, 9, 5, 4, 3, 8, 7, 6, 2, 0, 1, 22, 23, 21, 17, 16, 15, 20, 19, 18, 14, 12, 13 ], [ 57, 59, 58, 50, 49, 48, 56, 54, 55, 53, 51, 52, 45, 47, 46, 38, 37, 36, 44, 42, 43, 41, 39, 40, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 35, 33, 34, 32, 30, 31, 26, 25, 24, 29, 28, 27, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15 ], [ 58, 57, 59, 53, 51, 52, 50, 48, 49, 56, 55, 54, 46, 45, 47, 41, 39, 40, 38, 36, 37, 44, 43, 42, 23, 21, 22, 20, 18, 19, 14, 13, 12, 17, 16, 15, 11, 9, 10, 8, 6, 7, 2, 1, 0, 5, 4, 3, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 2, 1, 3, 6, 9, 4, 10, 8, 5, 7, 11, 12, 13, 14, 24, 48, 36, 26, 37, 50, 25, 49, 38, 15, 21, 18, 27, 39, 51, 30, 54, 45, 33, 42, 57, 17, 19, 23, 28, 52, 41, 34, 43, 58, 32, 56, 47, 16, 22, 20, 29, 40, 53, 31, 55, 46, 35, 44, 59 ], "cycleTypes": [ "1,1,1,1,1", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,1,3", "1,1,3", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "1,2,2", "1,2,2", "1,2,2", "1,1,3", "5", "5", "5", "1,1,3", "5", "5", "1,1,3", "5", "1,1,3", "5", "5", "1,2,2", "1,1,3", "1,1,3", "1,2,2", "5", "5", "1,2,2", "5", "5", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2", "5", "1,1,3", "5", "1,1,3", "1,1,3", "1,2,2", "5", "1,2,2", "5", "5", "5", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,3", "1,2,2", "5" ], "even": true, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 0 ], [ 1, 3, 11 ], [ 1, 4, 11 ], [ 1, 5, 11 ], [ 1, 6, 3 ], [ 1, 7, 3 ], [ 1, 8, 3 ], [ 1, 9, 8 ], [ 1, 10, 8 ], [ 1, 11, 8 ], [ 1, 12, 2 ], [ 1, 13, 2 ], [ 1, 14, 2 ], [ 1, 15, 28 ], [ 1, 16, 28 ], [ 1, 17, 28 ], [ 1, 18, 40 ], [ 1, 19, 40 ], [ 1, 20, 40 ], [ 1, 21, 51 ], [ 1, 22, 51 ], [ 1, 23, 51 ], [ 1, 24, 4 ], [ 1, 25, 4 ], [ 1, 26, 4 ], [ 1, 27, 53 ], [ 1, 28, 53 ], [ 1, 29, 53 ], [ 1, 30, 25 ], [ 1, 31, 25 ], [ 1, 32, 25 ], [ 1, 33, 23 ], [ 1, 34, 23 ], [ 1, 35, 23 ], [ 1, 36, 7 ], [ 1, 37, 7 ], [ 1, 38, 7 ], [ 1, 39, 27 ], [ 1, 40, 27 ], [ 1, 41, 27 ], [ 1, 42, 16 ], [ 1, 43, 16 ], [ 1, 44, 16 ], [ 1, 45, 36 ], [ 1, 46, 36 ], [ 1, 47, 36 ], [ 1, 48, 9 ], [ 1, 49, 9 ], [ 1, 50, 9 ], [ 1, 51, 41 ], [ 1, 52, 41 ], [ 1, 53, 41 ], [ 1, 54, 50 ], [ 1, 55, 50 ], [ 1, 56, 50 ], [ 1, 57, 18 ], [ 1, 58, 18 ], [ 1, 59, 18 ], [ 2, 0, 0 ], [ 2, 1, 0 ], [ 2, 2, 0 ], [ 2, 3, 8 ], [ 2, 4, 8 ], [ 2, 5, 8 ], [ 2, 6, 11 ], [ 2, 7, 11 ], [ 2, 8, 11 ], [ 2, 9, 3 ], [ 2, 10, 3 ], [ 2, 11, 3 ], [ 2, 12, 1 ], [ 2, 13, 1 ], [ 2, 14, 1 ], [ 2, 15, 29 ], [ 2, 16, 29 ], [ 2, 17, 29 ], [ 2, 18, 39 ], [ 2, 19, 39 ], [ 2, 20, 39 ], [ 2, 21, 52 ], [ 2, 22, 52 ], [ 2, 23, 52 ], [ 2, 24, 5 ], [ 2, 25, 5 ], [ 2, 26, 5 ], [ 2, 27, 41 ], [ 2, 28, 41 ], [ 2, 29, 41 ], [ 2, 30, 20 ], [ 2, 31, 20 ], [ 2, 32, 20 ], [ 2, 33, 26 ], [ 2, 34, 26 ], [ 2, 35, 26 ], [ 2, 36, 6 ], [ 2, 37, 6 ], [ 2, 38, 6 ], [ 2, 39, 53 ], [ 2, 40, 53 ], [ 2, 41, 53 ], [ 2, 42, 38 ], [ 2, 43, 38 ], [ 2, 44, 38 ], [ 2, 45, 21 ], [ 2, 46, 21 ], [ 2, 47, 21 ], [ 2, 48, 10 ], [ 2, 49, 10 ], [ 2, 50, 10 ], [ 2, 51, 27 ], [ 2, 52, 27 ], [ 2, 53, 27 ], [ 2, 54, 17 ], [ 2, 55, 17 ], [ 2, 56, 17 ], [ 2, 57, 48 ], [ 2, 58, 48 ], [ 2, 59, 48 ], [ 3, 0, 0 ], [ 3, 1, 11 ], [ 3, 2, 8 ], [ 3, 3, 0 ], [ 3, 4, 8 ], [ 3, 5, 11 ], [ 3, 6, 11 ], [ 3, 7, 8 ], [ 3, 8, 0 ], [ 3, 9, 8 ], [ 3, 10, 11 ], [ 3, 11, 0 ], [ 3, 12, 15 ], [ 3, 13, 56 ], [ 3, 14, 44 ], [ 3, 15, 15 ], [ 3, 16, 44 ], [ 3, 17, 56 ], [ 3, 18, 56 ], [ 3, 19, 44 ], [ 3, 20, 15 ], [ 3, 21, 44 ], [ 3, 22, 56 ], [ 3, 23, 15 ], [ 3, 24, 24 ], [ 3, 25, 58 ], [ 3, 26, 46 ], [ 3, 27, 24 ], [ 3, 28, 46 ], [ 3, 29, 58 ], [ 3, 30, 58 ], [ 3, 31, 46 ], [ 3, 32, 24 ], [ 3, 33, 46 ], [ 3, 34, 58 ], [ 3, 35, 24 ], [ 3, 36, 25 ], [ 3, 37, 18 ], [ 3, 38, 40 ], [ 3, 39, 25 ], [ 3, 40, 40 ], [ 3, 41, 18 ], [ 3, 42, 18 ], [ 3, 43, 40 ], [ 3, 44, 25 ], [ 3, 45, 40 ], [ 3, 46, 18 ], [ 3, 47, 25 ], [ 3, 48, 26 ], [ 3, 49, 21 ], [ 3, 50, 52 ], [ 3, 51, 26 ], [ 3, 52, 52 ], [ 3, 53, 21 ], [ 3, 54, 21 ], [ 3, 55, 52 ], [ 3, 56, 26 ], [ 3, 57, 52 ], [ 3, 58, 21 ], [ 3, 59, 26 ], [ 4, 0, 0 ], [ 4, 1, 11 ], [ 4, 2, 8 ], [ 4, 3, 8 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 0 ], [ 4, 7, 3 ], [ 4, 8, 11 ], [ 4, 9, 11 ], [ 4, 10, 8 ], [ 4, 11, 3 ], [ 4, 12, 54 ], [ 4, 13, 43 ], [ 4, 14, 16 ], [ 4, 15, 43 ], [ 4, 16, 5 ], [ 4, 17, 54 ], [ 4, 18, 16 ], [ 4, 19, 43 ], [ 4, 20, 5 ], [ 4, 21, 54 ], [ 4, 22, 5 ], [ 4, 23, 16 ], [ 4, 24, 13 ], [ 4, 25, 56 ], [ 4, 26, 35 ], [ 4, 27, 35 ], [ 4, 28, 13 ], [ 4, 29, 1 ], [ 4, 30, 13 ], [ 4, 31, 1 ], [ 4, 32, 56 ], [ 4, 33, 56 ], [ 4, 34, 35 ], [ 4, 35, 1 ], [ 4, 36, 50 ], [ 4, 37, 30 ], [ 4, 38, 44 ], [ 4, 39, 30 ], [ 4, 40, 10 ], [ 4, 41, 50 ], [ 4, 42, 44 ], [ 4, 43, 30 ], [ 4, 44, 10 ], [ 4, 45, 50 ], [ 4, 46, 10 ], [ 4, 47, 44 ], [ 4, 48, 37 ], [ 4, 49, 15 ], [ 4, 50, 28 ], [ 4, 51, 28 ], [ 4, 52, 37 ], [ 4, 53, 6 ], [ 4, 54, 37 ], [ 4, 55, 6 ], [ 4, 56, 15 ], [ 4, 57, 15 ], [ 4, 58, 28 ], [ 4, 59, 6 ], [ 5, 0, 0 ], [ 5, 1, 11 ], [ 5, 2, 8 ], [ 5, 3, 11 ], [ 5, 4, 3 ], [ 5, 5, 0 ], [ 5, 6, 8 ], [ 5, 7, 11 ], [ 5, 8, 3 ], [ 5, 9, 0 ], [ 5, 10, 3 ], [ 5, 11, 8 ], [ 5, 12, 42 ], [ 5, 13, 17 ], [ 5, 14, 55 ], [ 5, 15, 55 ], [ 5, 16, 42 ], [ 5, 17, 4 ], [ 5, 18, 42 ], [ 5, 19, 4 ], [ 5, 20, 17 ], [ 5, 21, 17 ], [ 5, 22, 55 ], [ 5, 23, 4 ], [ 5, 24, 14 ], [ 5, 25, 32 ], [ 5, 26, 44 ], [ 5, 27, 32 ], [ 5, 28, 2 ], [ 5, 29, 14 ], [ 5, 30, 44 ], [ 5, 31, 32 ], [ 5, 32, 2 ], [ 5, 33, 14 ], [ 5, 34, 2 ], [ 5, 35, 44 ], [ 5, 36, 49 ], [ 5, 37, 15 ], [ 5, 38, 29 ], [ 5, 39, 29 ], [ 5, 40, 49 ], [ 5, 41, 9 ], [ 5, 42, 49 ], [ 5, 43, 9 ], [ 5, 44, 15 ], [ 5, 45, 15 ], [ 5, 46, 29 ], [ 5, 47, 9 ], [ 5, 48, 38 ], [ 5, 49, 33 ], [ 5, 50, 56 ], [ 5, 51, 33 ], [ 5, 52, 7 ], [ 5, 53, 38 ], [ 5, 54, 56 ], [ 5, 55, 33 ], [ 5, 56, 7 ], [ 5, 57, 38 ], [ 5, 58, 7 ], [ 5, 59, 56 ], [ 6, 0, 0 ], [ 6, 1, 3 ], [ 6, 2, 11 ], [ 6, 3, 11 ], [ 6, 4, 0 ], [ 6, 5, 8 ], [ 6, 6, 0 ], [ 6, 7, 8 ], [ 6, 8, 3 ], [ 6, 9, 3 ], [ 6, 10, 11 ], [ 6, 11, 8 ], [ 6, 12, 20 ], [ 6, 13, 30 ], [ 6, 14, 58 ], [ 6, 15, 30 ], [ 6, 16, 7 ], [ 6, 17, 20 ], [ 6, 18, 58 ], [ 6, 19, 30 ], [ 6, 20, 7 ], [ 6, 21, 20 ], [ 6, 22, 7 ], [ 6, 23, 58 ], [ 6, 24, 43 ], [ 6, 25, 31 ], [ 6, 26, 48 ], [ 6, 27, 48 ], [ 6, 28, 43 ], [ 6, 29, 9 ], [ 6, 30, 43 ], [ 6, 31, 9 ], [ 6, 32, 31 ], [ 6, 33, 31 ], [ 6, 34, 48 ], [ 6, 35, 9 ], [ 6, 36, 46 ], [ 6, 37, 13 ], [ 6, 38, 57 ], [ 6, 39, 13 ], [ 6, 40, 2 ], [ 6, 41, 46 ], [ 6, 42, 57 ], [ 6, 43, 13 ], [ 6, 44, 2 ], [ 6, 45, 46 ], [ 6, 46, 2 ], [ 6, 47, 57 ], [ 6, 48, 39 ], [ 6, 49, 19 ], [ 6, 50, 24 ], [ 6, 51, 24 ], [ 6, 52, 39 ], [ 6, 53, 4 ], [ 6, 54, 39 ], [ 6, 55, 4 ], [ 6, 56, 19 ], [ 6, 57, 19 ], [ 6, 58, 24 ], [ 6, 59, 4 ], [ 7, 0, 0 ], [ 7, 1, 3 ], [ 7, 2, 11 ], [ 7, 3, 8 ], [ 7, 4, 3 ], [ 7, 5, 11 ], [ 7, 6, 8 ], [ 7, 7, 0 ], [ 7, 8, 11 ], [ 7, 9, 8 ], [ 7, 10, 0 ], [ 7, 11, 3 ], [ 7, 12, 59 ], [ 7, 13, 18 ], [ 7, 14, 32 ], [ 7, 15, 6 ], [ 7, 16, 18 ], [ 7, 17, 32 ], [ 7, 18, 6 ], [ 7, 19, 59 ], [ 7, 20, 32 ], [ 7, 21, 6 ], [ 7, 22, 59 ], [ 7, 23, 18 ], [ 7, 24, 19 ], [ 7, 25, 40 ], [ 7, 26, 49 ], [ 7, 27, 10 ], [ 7, 28, 40 ], [ 7, 29, 49 ], [ 7, 30, 10 ], [ 7, 31, 19 ], [ 7, 32, 49 ], [ 7, 33, 10 ], [ 7, 34, 19 ], [ 7, 35, 40 ], [ 7, 36, 31 ], [ 7, 37, 12 ], [ 7, 38, 42 ], [ 7, 39, 1 ], [ 7, 40, 12 ], [ 7, 41, 42 ], [ 7, 42, 1 ], [ 7, 43, 31 ], [ 7, 44, 42 ], [ 7, 45, 1 ], [ 7, 46, 31 ], [ 7, 47, 12 ], [ 7, 48, 57 ], [ 7, 49, 47 ], [ 7, 50, 25 ], [ 7, 51, 5 ], [ 7, 52, 47 ], [ 7, 53, 25 ], [ 7, 54, 5 ], [ 7, 55, 57 ], [ 7, 56, 25 ], [ 7, 57, 5 ], [ 7, 58, 57 ], [ 7, 59, 47 ], [ 8, 0, 0 ], [ 8, 1, 3 ], [ 8, 2, 11 ], [ 8, 3, 0 ], [ 8, 4, 11 ], [ 8, 5, 3 ], [ 8, 6, 3 ], [ 8, 7, 11 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 3 ], [ 8, 11, 0 ], [ 8, 12, 31 ], [ 8, 13, 57 ], [ 8, 14, 19 ], [ 8, 15, 31 ], [ 8, 16, 19 ], [ 8, 17, 57 ], [ 8, 18, 57 ], [ 8, 19, 19 ], [ 8, 20, 31 ], [ 8, 21, 19 ], [ 8, 22, 57 ], [ 8, 23, 31 ], [ 8, 24, 17 ], [ 8, 25, 29 ], [ 8, 26, 38 ], [ 8, 27, 17 ], [ 8, 28, 38 ], [ 8, 29, 29 ], [ 8, 30, 29 ], [ 8, 31, 38 ], [ 8, 32, 17 ], [ 8, 33, 38 ], [ 8, 34, 29 ], [ 8, 35, 17 ], [ 8, 36, 35 ], [ 8, 37, 37 ], [ 8, 38, 54 ], [ 8, 39, 35 ], [ 8, 40, 54 ], [ 8, 41, 37 ], [ 8, 42, 37 ], [ 8, 43, 54 ], [ 8, 44, 35 ], [ 8, 45, 54 ], [ 8, 46, 37 ], [ 8, 47, 35 ], [ 8, 48, 51 ], [ 8, 49, 23 ], [ 8, 50, 36 ], [ 8, 51, 51 ], [ 8, 52, 36 ], [ 8, 53, 23 ], [ 8, 54, 23 ], [ 8, 55, 36 ], [ 8, 56, 51 ], [ 8, 57, 36 ], [ 8, 58, 23 ], [ 8, 59, 51 ], [ 9, 0, 0 ], [ 9, 1, 8 ], [ 9, 2, 3 ], [ 9, 3, 8 ], [ 9, 4, 11 ], [ 9, 5, 0 ], [ 9, 6, 3 ], [ 9, 7, 8 ], [ 9, 8, 11 ], [ 9, 9, 0 ], [ 9, 10, 11 ], [ 9, 11, 3 ], [ 9, 12, 23 ], [ 9, 13, 46 ], [ 9, 14, 33 ], [ 9, 15, 33 ], [ 9, 16, 23 ], [ 9, 17, 10 ], [ 9, 18, 23 ], [ 9, 19, 10 ], [ 9, 20, 46 ], [ 9, 21, 46 ], [ 9, 22, 33 ], [ 9, 23, 10 ], [ 9, 24, 55 ], [ 9, 25, 36 ], [ 9, 26, 34 ], [ 9, 27, 36 ], [ 9, 28, 6 ], [ 9, 29, 55 ], [ 9, 30, 34 ], [ 9, 31, 36 ], [ 9, 32, 6 ], [ 9, 33, 55 ], [ 9, 34, 6 ], [ 9, 35, 34 ], [ 9, 36, 51 ], [ 9, 37, 22 ], [ 9, 38, 24 ], [ 9, 39, 24 ], [ 9, 40, 51 ], [ 9, 41, 5 ], [ 9, 42, 51 ], [ 9, 43, 5 ], [ 9, 44, 22 ], [ 9, 45, 22 ], [ 9, 46, 24 ], [ 9, 47, 5 ], [ 9, 48, 58 ], [ 9, 49, 14 ], [ 9, 50, 45 ], [ 9, 51, 14 ], [ 9, 52, 1 ], [ 9, 53, 58 ], [ 9, 54, 45 ], [ 9, 55, 14 ], [ 9, 56, 1 ], [ 9, 57, 58 ], [ 9, 58, 1 ], [ 9, 59, 45 ], [ 10, 0, 0 ], [ 10, 1, 8 ], [ 10, 2, 3 ], [ 10, 3, 11 ], [ 10, 4, 8 ], [ 10, 5, 3 ], [ 10, 6, 11 ], [ 10, 7, 0 ], [ 10, 8, 3 ], [ 10, 9, 11 ], [ 10, 10, 0 ], [ 10, 11, 8 ], [ 10, 12, 47 ], [ 10, 13, 35 ], [ 10, 14, 21 ], [ 10, 15, 9 ], [ 10, 16, 35 ], [ 10, 17, 21 ], [ 10, 18, 9 ], [ 10, 19, 47 ], [ 10, 20, 21 ], [ 10, 21, 9 ], [ 10, 22, 47 ], [ 10, 23, 35 ], [ 10, 24, 22 ], [ 10, 25, 37 ], [ 10, 26, 52 ], [ 10, 27, 7 ], [ 10, 28, 37 ], [ 10, 29, 52 ], [ 10, 30, 7 ], [ 10, 31, 22 ], [ 10, 32, 52 ], [ 10, 33, 7 ], [ 10, 34, 22 ], [ 10, 35, 37 ], [ 10, 36, 45 ], [ 10, 37, 59 ], [ 10, 38, 26 ], [ 10, 39, 4 ], [ 10, 40, 59 ], [ 10, 41, 26 ], [ 10, 42, 4 ], [ 10, 43, 45 ], [ 10, 44, 26 ], [ 10, 45, 4 ], [ 10, 46, 45 ], [ 10, 47, 59 ], [ 10, 48, 34 ], [ 10, 49, 12 ], [ 10, 50, 54 ], [ 10, 51, 2 ], [ 10, 52, 12 ], [ 10, 53, 54 ], [ 10, 54, 2 ], [ 10, 55, 34 ], [ 10, 56, 54 ], [ 10, 57, 2 ], [ 10, 58, 34 ], [ 10, 59, 12 ], [ 11, 0, 0 ], [ 11, 1, 8 ], [ 11, 2, 3 ], [ 11, 3, 0 ], [ 11, 4, 3 ], [ 11, 5, 8 ], [ 11, 6, 8 ], [ 11, 7, 3 ], [ 11, 8, 0 ], [ 11, 9, 3 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 34 ], [ 11, 13, 22 ], [ 11, 14, 45 ], [ 11, 15, 34 ], [ 11, 16, 45 ], [ 11, 17, 22 ], [ 11, 18, 22 ], [ 11, 19, 45 ], [ 11, 20, 34 ], [ 11, 21, 45 ], [ 11, 22, 22 ], [ 11, 23, 34 ], [ 11, 24, 16 ], [ 11, 25, 50 ], [ 11, 26, 28 ], [ 11, 27, 16 ], [ 11, 28, 28 ], [ 11, 29, 50 ], [ 11, 30, 50 ], [ 11, 31, 28 ], [ 11, 32, 16 ], [ 11, 33, 28 ], [ 11, 34, 50 ], [ 11, 35, 16 ], [ 11, 36, 39 ], [ 11, 37, 20 ], [ 11, 38, 48 ], [ 11, 39, 39 ], [ 11, 40, 48 ], [ 11, 41, 20 ], [ 11, 42, 20 ], [ 11, 43, 48 ], [ 11, 44, 39 ], [ 11, 45, 48 ], [ 11, 46, 20 ], [ 11, 47, 39 ], [ 11, 48, 32 ], [ 11, 49, 49 ], [ 11, 50, 42 ], [ 11, 51, 32 ], [ 11, 52, 42 ], [ 11, 53, 49 ], [ 11, 54, 49 ], [ 11, 55, 42 ], [ 11, 56, 32 ], [ 11, 57, 42 ], [ 11, 58, 49 ], [ 11, 59, 32 ], [ 12, 0, 0 ], [ 12, 1, 1 ], [ 12, 2, 2 ], [ 12, 3, 24 ], [ 12, 4, 31 ], [ 12, 5, 34 ], [ 12, 6, 50 ], [ 12, 7, 59 ], [ 12, 8, 54 ], [ 12, 9, 38 ], [ 12, 10, 47 ], [ 12, 11, 42 ], [ 12, 12, 0 ], [ 12, 13, 1 ], [ 12, 14, 2 ], [ 12, 15, 15 ], [ 12, 16, 42 ], [ 12, 17, 54 ], [ 12, 18, 23 ], [ 12, 19, 47 ], [ 12, 20, 34 ], [ 12, 21, 20 ], [ 12, 22, 59 ], [ 12, 23, 31 ], [ 12, 24, 24 ], [ 12, 25, 31 ], [ 12, 26, 34 ], [ 12, 27, 15 ], [ 12, 28, 42 ], [ 12, 29, 54 ], [ 12, 30, 20 ], [ 12, 31, 38 ], [ 12, 32, 2 ], [ 12, 33, 23 ], [ 12, 34, 50 ], [ 12, 35, 1 ], [ 12, 36, 50 ], [ 12, 37, 59 ], [ 12, 38, 54 ], [ 12, 39, 23 ], [ 12, 40, 47 ], [ 12, 41, 34 ], [ 12, 42, 20 ], [ 12, 43, 38 ], [ 12, 44, 2 ], [ 12, 45, 15 ], [ 12, 46, 24 ], [ 12, 47, 0 ], [ 12, 48, 38 ], [ 12, 49, 47 ], [ 12, 50, 42 ], [ 12, 51, 20 ], [ 12, 52, 59 ], [ 12, 53, 31 ], [ 12, 54, 23 ], [ 12, 55, 50 ], [ 12, 56, 1 ], [ 12, 57, 15 ], [ 12, 58, 24 ], [ 12, 59, 0 ], [ 13, 0, 0 ], [ 13, 1, 1 ], [ 13, 2, 2 ], [ 13, 3, 46 ], [ 13, 4, 43 ], [ 13, 5, 36 ], [ 13, 6, 30 ], [ 13, 7, 26 ], [ 13, 8, 35 ], [ 13, 9, 56 ], [ 13, 10, 57 ], [ 13, 11, 49 ], [ 13, 12, 2 ], [ 13, 13, 0 ], [ 13, 14, 1 ], [ 13, 15, 30 ], [ 13, 16, 18 ], [ 13, 17, 57 ], [ 13, 18, 56 ], [ 13, 19, 43 ], [ 13, 20, 17 ], [ 13, 21, 46 ], [ 13, 22, 22 ], [ 13, 23, 35 ], [ 13, 24, 43 ], [ 13, 25, 36 ], [ 13, 26, 46 ], [ 13, 27, 57 ], [ 13, 28, 30 ], [ 13, 29, 18 ], [ 13, 30, 0 ], [ 13, 31, 22 ], [ 13, 32, 49 ], [ 13, 33, 26 ], [ 13, 34, 2 ], [ 13, 35, 17 ], [ 13, 36, 35 ], [ 13, 37, 30 ], [ 13, 38, 26 ], [ 13, 39, 43 ], [ 13, 40, 17 ], [ 13, 41, 56 ], [ 13, 42, 49 ], [ 13, 43, 0 ], [ 13, 44, 22 ], [ 13, 45, 1 ], [ 13, 46, 18 ], [ 13, 47, 36 ], [ 13, 48, 57 ], [ 13, 49, 49 ], [ 13, 50, 56 ], [ 13, 51, 35 ], [ 13, 52, 46 ], [ 13, 53, 22 ], [ 13, 54, 2 ], [ 13, 55, 17 ], [ 13, 56, 26 ], [ 13, 57, 36 ], [ 13, 58, 1 ], [ 13, 59, 18 ], [ 14, 0, 0 ], [ 14, 1, 1 ], [ 14, 2, 2 ], [ 14, 3, 58 ], [ 14, 4, 48 ], [ 14, 5, 55 ], [ 14, 6, 44 ], [ 14, 7, 45 ], [ 14, 8, 37 ], [ 14, 9, 33 ], [ 14, 10, 25 ], [ 14, 11, 32 ], [ 14, 12, 1 ], [ 14, 13, 2 ], [ 14, 14, 0 ], [ 14, 15, 33 ], [ 14, 16, 45 ], [ 14, 17, 21 ], [ 14, 18, 58 ], [ 14, 19, 19 ], [ 14, 20, 32 ], [ 14, 21, 44 ], [ 14, 22, 55 ], [ 14, 23, 16 ], [ 14, 24, 55 ], [ 14, 25, 58 ], [ 14, 26, 48 ], [ 14, 27, 45 ], [ 14, 28, 21 ], [ 14, 29, 33 ], [ 14, 30, 25 ], [ 14, 31, 1 ], [ 14, 32, 16 ], [ 14, 33, 0 ], [ 14, 34, 19 ], [ 14, 35, 37 ], [ 14, 36, 45 ], [ 14, 37, 37 ], [ 14, 38, 44 ], [ 14, 39, 32 ], [ 14, 40, 58 ], [ 14, 41, 19 ], [ 14, 42, 1 ], [ 14, 43, 16 ], [ 14, 44, 25 ], [ 14, 45, 48 ], [ 14, 46, 2 ], [ 14, 47, 21 ], [ 14, 48, 32 ], [ 14, 49, 33 ], [ 14, 50, 25 ], [ 14, 51, 55 ], [ 14, 52, 16 ], [ 14, 53, 44 ], [ 14, 54, 37 ], [ 14, 55, 0 ], [ 14, 56, 19 ], [ 14, 57, 2 ], [ 14, 58, 21 ], [ 14, 59, 48 ], [ 15, 0, 0 ], [ 15, 1, 39 ], [ 15, 2, 51 ], [ 15, 3, 24 ], [ 15, 4, 43 ], [ 15, 5, 55 ], [ 15, 6, 30 ], [ 15, 7, 4 ], [ 15, 8, 54 ], [ 15, 9, 33 ], [ 15, 10, 5 ], [ 15, 11, 42 ], [ 15, 12, 24 ], [ 15, 13, 30 ], [ 15, 14, 33 ], [ 15, 15, 0 ], [ 15, 16, 19 ], [ 15, 17, 22 ], [ 15, 18, 39 ], [ 15, 19, 13 ], [ 15, 20, 21 ], [ 15, 21, 51 ], [ 15, 22, 14 ], [ 15, 23, 18 ], [ 15, 24, 0 ], [ 15, 25, 4 ], [ 15, 26, 5 ], [ 15, 27, 24 ], [ 15, 28, 13 ], [ 15, 29, 14 ], [ 15, 30, 43 ], [ 15, 31, 19 ], [ 15, 32, 17 ], [ 15, 33, 55 ], [ 15, 34, 22 ], [ 15, 35, 16 ], [ 15, 36, 39 ], [ 15, 37, 43 ], [ 15, 38, 42 ], [ 15, 39, 30 ], [ 15, 40, 19 ], [ 15, 41, 18 ], [ 15, 42, 4 ], [ 15, 43, 13 ], [ 15, 44, 16 ], [ 15, 45, 54 ], [ 15, 46, 21 ], [ 15, 47, 17 ], [ 15, 48, 51 ], [ 15, 49, 55 ], [ 15, 50, 54 ], [ 15, 51, 33 ], [ 15, 52, 22 ], [ 15, 53, 21 ], [ 15, 54, 5 ], [ 15, 55, 14 ], [ 15, 56, 17 ], [ 15, 57, 42 ], [ 15, 58, 18 ], [ 15, 59, 16 ], [ 16, 0, 0 ], [ 16, 1, 39 ], [ 16, 2, 51 ], [ 16, 3, 58 ], [ 16, 4, 9 ], [ 16, 5, 34 ], [ 16, 6, 10 ], [ 16, 7, 26 ], [ 16, 8, 37 ], [ 16, 9, 38 ], [ 16, 10, 57 ], [ 16, 11, 32 ], [ 16, 12, 34 ], [ 16, 13, 26 ], [ 16, 14, 32 ], [ 16, 15, 37 ], [ 16, 16, 0 ], [ 16, 17, 10 ], [ 16, 18, 57 ], [ 16, 19, 38 ], [ 16, 20, 39 ], [ 16, 21, 9 ], [ 16, 22, 51 ], [ 16, 23, 58 ], [ 16, 24, 39 ], [ 16, 25, 37 ], [ 16, 26, 38 ], [ 16, 27, 32 ], [ 16, 28, 57 ], [ 16, 29, 58 ], [ 16, 30, 51 ], [ 16, 31, 9 ], [ 16, 32, 0 ], [ 16, 33, 10 ], [ 16, 34, 26 ], [ 16, 35, 34 ], [ 16, 36, 51 ], [ 16, 37, 58 ], [ 16, 38, 57 ], [ 16, 39, 34 ], [ 16, 40, 10 ], [ 16, 41, 9 ], [ 16, 42, 38 ], [ 16, 43, 32 ], [ 16, 44, 26 ], [ 16, 45, 0 ], [ 16, 46, 37 ], [ 16, 47, 39 ], [ 16, 48, 0 ], [ 16, 49, 9 ], [ 16, 50, 10 ], [ 16, 51, 26 ], [ 16, 52, 37 ], [ 16, 53, 38 ], [ 16, 54, 39 ], [ 16, 55, 57 ], [ 16, 56, 51 ], [ 16, 57, 58 ], [ 16, 58, 34 ], [ 16, 59, 32 ], [ 17, 0, 0 ], [ 17, 1, 39 ], [ 17, 2, 51 ], [ 17, 3, 46 ], [ 17, 4, 31 ], [ 17, 5, 6 ], [ 17, 6, 50 ], [ 17, 7, 45 ], [ 17, 8, 35 ], [ 17, 9, 7 ], [ 17, 10, 25 ], [ 17, 11, 49 ], [ 17, 12, 31 ], [ 17, 13, 35 ], [ 17, 14, 25 ], [ 17, 15, 49 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 6 ], [ 17, 19, 39 ], [ 17, 20, 46 ], [ 17, 21, 45 ], [ 17, 22, 50 ], [ 17, 23, 51 ], [ 17, 24, 51 ], [ 17, 25, 50 ], [ 17, 26, 49 ], [ 17, 27, 35 ], [ 17, 28, 46 ], [ 17, 29, 45 ], [ 17, 30, 7 ], [ 17, 31, 25 ], [ 17, 32, 31 ], [ 17, 33, 39 ], [ 17, 34, 6 ], [ 17, 35, 0 ], [ 17, 36, 0 ], [ 17, 37, 6 ], [ 17, 38, 7 ], [ 17, 39, 25 ], [ 17, 40, 49 ], [ 17, 41, 50 ], [ 17, 42, 51 ], [ 17, 43, 45 ], [ 17, 44, 39 ], [ 17, 45, 46 ], [ 17, 46, 31 ], [ 17, 47, 35 ], [ 17, 48, 39 ], [ 17, 49, 46 ], [ 17, 50, 45 ], [ 17, 51, 31 ], [ 17, 52, 7 ], [ 17, 53, 6 ], [ 17, 54, 50 ], [ 17, 55, 35 ], [ 17, 56, 25 ], [ 17, 57, 0 ], [ 17, 58, 49 ], [ 17, 59, 51 ], [ 18, 0, 0 ], [ 18, 1, 52 ], [ 18, 2, 28 ], [ 18, 3, 46 ], [ 18, 4, 48 ], [ 18, 5, 34 ], [ 18, 6, 44 ], [ 18, 7, 4 ], [ 18, 8, 35 ], [ 18, 9, 38 ], [ 18, 10, 5 ], [ 18, 11, 49 ], [ 18, 12, 38 ], [ 18, 13, 46 ], [ 18, 14, 44 ], [ 18, 15, 28 ], [ 18, 16, 35 ], [ 18, 17, 4 ], [ 18, 18, 0 ], [ 18, 19, 49 ], [ 18, 20, 5 ], [ 18, 21, 52 ], [ 18, 22, 48 ], [ 18, 23, 34 ], [ 18, 24, 4 ], [ 18, 25, 5 ], [ 18, 26, 0 ], [ 18, 27, 48 ], [ 18, 28, 38 ], [ 18, 29, 49 ], [ 18, 30, 34 ], [ 18, 31, 28 ], [ 18, 32, 52 ], [ 18, 33, 46 ], [ 18, 34, 35 ], [ 18, 35, 44 ], [ 18, 36, 49 ], [ 18, 37, 52 ], [ 18, 38, 48 ], [ 18, 39, 35 ], [ 18, 40, 34 ], [ 18, 41, 46 ], [ 18, 42, 44 ], [ 18, 43, 5 ], [ 18, 44, 38 ], [ 18, 45, 4 ], [ 18, 46, 0 ], [ 18, 47, 28 ], [ 18, 48, 34 ], [ 18, 49, 35 ], [ 18, 50, 28 ], [ 18, 51, 5 ], [ 18, 52, 44 ], [ 18, 53, 4 ], [ 18, 54, 49 ], [ 18, 55, 52 ], [ 18, 56, 0 ], [ 18, 57, 38 ], [ 18, 58, 48 ], [ 18, 59, 46 ], [ 19, 0, 0 ], [ 19, 1, 52 ], [ 19, 2, 28 ], [ 19, 3, 58 ], [ 19, 4, 43 ], [ 19, 5, 6 ], [ 19, 6, 30 ], [ 19, 7, 59 ], [ 19, 8, 37 ], [ 19, 9, 7 ], [ 19, 10, 47 ], [ 19, 11, 32 ], [ 19, 12, 47 ], [ 19, 13, 43 ], [ 19, 14, 37 ], [ 19, 15, 13 ], [ 19, 16, 23 ], [ 19, 17, 28 ], [ 19, 18, 22 ], [ 19, 19, 0 ], [ 19, 20, 15 ], [ 19, 21, 17 ], [ 19, 22, 12 ], [ 19, 23, 52 ], [ 19, 24, 30 ], [ 19, 25, 32 ], [ 19, 26, 28 ], [ 19, 27, 17 ], [ 19, 28, 43 ], [ 19, 29, 15 ], [ 19, 30, 13 ], [ 19, 31, 20 ], [ 19, 32, 6 ], [ 19, 33, 18 ], [ 19, 34, 58 ], [ 19, 35, 23 ], [ 19, 36, 7 ], [ 19, 37, 0 ], [ 19, 38, 6 ], [ 19, 39, 13 ], [ 19, 40, 12 ], [ 19, 41, 37 ], [ 19, 42, 18 ], [ 19, 43, 30 ], [ 19, 44, 15 ], [ 19, 45, 22 ], [ 19, 46, 20 ], [ 19, 47, 59 ], [ 19, 48, 58 ], [ 19, 49, 59 ], [ 19, 50, 52 ], [ 19, 51, 22 ], [ 19, 52, 47 ], [ 19, 53, 23 ], [ 19, 54, 17 ], [ 19, 55, 20 ], [ 19, 56, 32 ], [ 19, 57, 18 ], [ 19, 58, 7 ], [ 19, 59, 12 ], [ 20, 0, 0 ], [ 20, 1, 52 ], [ 20, 2, 28 ], [ 20, 3, 24 ], [ 20, 4, 9 ], [ 20, 5, 36 ], [ 20, 6, 10 ], [ 20, 7, 45 ], [ 20, 8, 54 ], [ 20, 9, 56 ], [ 20, 10, 25 ], [ 20, 11, 42 ], [ 20, 12, 42 ], [ 20, 13, 36 ], [ 20, 14, 45 ], [ 20, 15, 25 ], [ 20, 16, 28 ], [ 20, 17, 56 ], [ 20, 18, 9 ], [ 20, 19, 24 ], [ 20, 20, 0 ], [ 20, 21, 54 ], [ 20, 22, 52 ], [ 20, 23, 10 ], [ 20, 24, 54 ], [ 20, 25, 56 ], [ 20, 26, 52 ], [ 20, 27, 10 ], [ 20, 28, 45 ], [ 20, 29, 9 ], [ 20, 30, 42 ], [ 20, 31, 36 ], [ 20, 32, 25 ], [ 20, 33, 28 ], [ 20, 34, 0 ], [ 20, 35, 24 ], [ 20, 36, 25 ], [ 20, 37, 28 ], [ 20, 38, 24 ], [ 20, 39, 56 ], [ 20, 40, 54 ], [ 20, 41, 42 ], [ 20, 42, 0 ], [ 20, 43, 52 ], [ 20, 44, 10 ], [ 20, 45, 36 ], [ 20, 46, 45 ], [ 20, 47, 9 ], [ 20, 48, 9 ], [ 20, 49, 10 ], [ 20, 50, 0 ], [ 20, 51, 24 ], [ 20, 52, 36 ], [ 20, 53, 25 ], [ 20, 54, 45 ], [ 20, 55, 42 ], [ 20, 56, 54 ], [ 20, 57, 52 ], [ 20, 58, 28 ], [ 20, 59, 56 ], [ 21, 0, 0 ], [ 21, 1, 29 ], [ 21, 2, 40 ], [ 21, 3, 58 ], [ 21, 4, 31 ], [ 21, 5, 36 ], [ 21, 6, 50 ], [ 21, 7, 4 ], [ 21, 8, 37 ], [ 21, 9, 56 ], [ 21, 10, 5 ], [ 21, 11, 32 ], [ 21, 12, 50 ], [ 21, 13, 56 ], [ 21, 14, 58 ], [ 21, 15, 29 ], [ 21, 16, 5 ], [ 21, 17, 32 ], [ 21, 18, 40 ], [ 21, 19, 36 ], [ 21, 20, 31 ], [ 21, 21, 0 ], [ 21, 22, 37 ], [ 21, 23, 4 ], [ 21, 24, 5 ], [ 21, 25, 0 ], [ 21, 26, 4 ], [ 21, 27, 36 ], [ 21, 28, 37 ], [ 21, 29, 50 ], [ 21, 30, 58 ], [ 21, 31, 32 ], [ 21, 32, 56 ], [ 21, 33, 31 ], [ 21, 34, 29 ], [ 21, 35, 40 ], [ 21, 36, 31 ], [ 21, 37, 32 ], [ 21, 38, 29 ], [ 21, 39, 4 ], [ 21, 40, 56 ], [ 21, 41, 5 ], [ 21, 42, 37 ], [ 21, 43, 40 ], [ 21, 44, 0 ], [ 21, 45, 50 ], [ 21, 46, 36 ], [ 21, 47, 58 ], [ 21, 48, 37 ], [ 21, 49, 40 ], [ 21, 50, 36 ], [ 21, 51, 32 ], [ 21, 52, 31 ], [ 21, 53, 58 ], [ 21, 54, 56 ], [ 21, 55, 4 ], [ 21, 56, 50 ], [ 21, 57, 5 ], [ 21, 58, 0 ], [ 21, 59, 29 ], [ 22, 0, 0 ], [ 22, 1, 29 ], [ 22, 2, 40 ], [ 22, 3, 46 ], [ 22, 4, 9 ], [ 22, 5, 55 ], [ 22, 6, 10 ], [ 22, 7, 59 ], [ 22, 8, 35 ], [ 22, 9, 33 ], [ 22, 10, 47 ], [ 22, 11, 49 ], [ 22, 12, 59 ], [ 22, 13, 49 ], [ 22, 14, 55 ], [ 22, 15, 14 ], [ 22, 16, 29 ], [ 22, 17, 20 ], [ 22, 18, 16 ], [ 22, 19, 12 ], [ 22, 20, 40 ], [ 22, 21, 19 ], [ 22, 22, 0 ], [ 22, 23, 15 ], [ 22, 24, 33 ], [ 22, 25, 29 ], [ 22, 26, 35 ], [ 22, 27, 16 ], [ 22, 28, 15 ], [ 22, 29, 55 ], [ 22, 30, 21 ], [ 22, 31, 46 ], [ 22, 32, 20 ], [ 22, 33, 14 ], [ 22, 34, 23 ], [ 22, 35, 9 ], [ 22, 36, 46 ], [ 22, 37, 47 ], [ 22, 38, 40 ], [ 22, 39, 19 ], [ 22, 40, 59 ], [ 22, 41, 20 ], [ 22, 42, 16 ], [ 22, 43, 23 ], [ 22, 44, 35 ], [ 22, 45, 21 ], [ 22, 46, 10 ], [ 22, 47, 12 ], [ 22, 48, 10 ], [ 22, 49, 0 ], [ 22, 50, 9 ], [ 22, 51, 14 ], [ 22, 52, 12 ], [ 22, 53, 49 ], [ 22, 54, 21 ], [ 22, 55, 33 ], [ 22, 56, 15 ], [ 22, 57, 19 ], [ 22, 58, 23 ], [ 22, 59, 47 ], [ 23, 0, 0 ], [ 23, 1, 29 ], [ 23, 2, 40 ], [ 23, 3, 24 ], [ 23, 4, 48 ], [ 23, 5, 6 ], [ 23, 6, 44 ], [ 23, 7, 26 ], [ 23, 8, 54 ], [ 23, 9, 7 ], [ 23, 10, 57 ], [ 23, 11, 42 ], [ 23, 12, 54 ], [ 23, 13, 57 ], [ 23, 14, 48 ], [ 23, 15, 26 ], [ 23, 16, 44 ], [ 23, 17, 29 ], [ 23, 18, 42 ], [ 23, 19, 40 ], [ 23, 20, 7 ], [ 23, 21, 6 ], [ 23, 22, 24 ], [ 23, 23, 0 ], [ 23, 24, 42 ], [ 23, 25, 40 ], [ 23, 26, 44 ], [ 23, 27, 7 ], [ 23, 28, 6 ], [ 23, 29, 57 ], [ 23, 30, 29 ], [ 23, 31, 0 ], [ 23, 32, 24 ], [ 23, 33, 54 ], [ 23, 34, 48 ], [ 23, 35, 26 ], [ 23, 36, 6 ], [ 23, 37, 7 ], [ 23, 38, 0 ], [ 23, 39, 24 ], [ 23, 40, 48 ], [ 23, 41, 26 ], [ 23, 42, 57 ], [ 23, 43, 54 ], [ 23, 44, 42 ], [ 23, 45, 40 ], [ 23, 46, 29 ], [ 23, 47, 44 ], [ 23, 48, 26 ], [ 23, 49, 29 ], [ 23, 50, 24 ], [ 23, 51, 44 ], [ 23, 52, 42 ], [ 23, 53, 54 ], [ 23, 54, 0 ], [ 23, 55, 40 ], [ 23, 56, 7 ], [ 23, 57, 48 ], [ 23, 58, 57 ], [ 23, 59, 6 ], [ 24, 0, 0 ], [ 24, 1, 6 ], [ 24, 2, 9 ], [ 24, 3, 15 ], [ 24, 4, 13 ], [ 24, 5, 14 ], [ 24, 6, 43 ], [ 24, 7, 37 ], [ 24, 8, 36 ], [ 24, 9, 55 ], [ 24, 10, 49 ], [ 24, 11, 48 ], [ 24, 12, 15 ], [ 24, 13, 43 ], [ 24, 14, 55 ], [ 24, 15, 0 ], [ 24, 16, 28 ], [ 24, 17, 29 ], [ 24, 18, 6 ], [ 24, 19, 30 ], [ 24, 20, 31 ], [ 24, 21, 9 ], [ 24, 22, 33 ], [ 24, 23, 34 ], [ 24, 24, 0 ], [ 24, 25, 37 ], [ 24, 26, 49 ], [ 24, 27, 15 ], [ 24, 28, 30 ], [ 24, 29, 33 ], [ 24, 30, 13 ], [ 24, 31, 28 ], [ 24, 32, 25 ], [ 24, 33, 14 ], [ 24, 34, 29 ], [ 24, 35, 26 ], [ 24, 36, 6 ], [ 24, 37, 13 ], [ 24, 38, 48 ], [ 24, 39, 43 ], [ 24, 40, 28 ], [ 24, 41, 34 ], [ 24, 42, 37 ], [ 24, 43, 30 ], [ 24, 44, 26 ], [ 24, 45, 36 ], [ 24, 46, 31 ], [ 24, 47, 25 ], [ 24, 48, 9 ], [ 24, 49, 14 ], [ 24, 50, 36 ], [ 24, 51, 55 ], [ 24, 52, 29 ], [ 24, 53, 31 ], [ 24, 54, 49 ], [ 24, 55, 33 ], [ 24, 56, 25 ], [ 24, 57, 48 ], [ 24, 58, 34 ], [ 24, 59, 26 ], [ 25, 0, 0 ], [ 25, 1, 6 ], [ 25, 2, 9 ], [ 25, 3, 44 ], [ 25, 4, 46 ], [ 25, 5, 45 ], [ 25, 6, 54 ], [ 25, 7, 52 ], [ 25, 8, 51 ], [ 25, 9, 17 ], [ 25, 10, 19 ], [ 25, 11, 20 ], [ 25, 12, 54 ], [ 25, 13, 17 ], [ 25, 14, 44 ], [ 25, 15, 6 ], [ 25, 16, 19 ], [ 25, 17, 20 ], [ 25, 18, 9 ], [ 25, 19, 45 ], [ 25, 20, 46 ], [ 25, 21, 0 ], [ 25, 22, 51 ], [ 25, 23, 52 ], [ 25, 24, 19 ], [ 25, 25, 0 ], [ 25, 26, 52 ], [ 25, 27, 45 ], [ 25, 28, 51 ], [ 25, 29, 54 ], [ 25, 30, 44 ], [ 25, 31, 20 ], [ 25, 32, 17 ], [ 25, 33, 46 ], [ 25, 34, 6 ], [ 25, 35, 9 ], [ 25, 36, 46 ], [ 25, 37, 20 ], [ 25, 38, 6 ], [ 25, 39, 52 ], [ 25, 40, 17 ], [ 25, 41, 19 ], [ 25, 42, 51 ], [ 25, 43, 9 ], [ 25, 44, 0 ], [ 25, 45, 54 ], [ 25, 46, 45 ], [ 25, 47, 44 ], [ 25, 48, 51 ], [ 25, 49, 9 ], [ 25, 50, 45 ], [ 25, 51, 20 ], [ 25, 52, 46 ], [ 25, 53, 44 ], [ 25, 54, 17 ], [ 25, 55, 52 ], [ 25, 56, 54 ], [ 25, 57, 19 ], [ 25, 58, 0 ], [ 25, 59, 6 ], [ 26, 0, 0 ], [ 26, 1, 6 ], [ 26, 2, 9 ], [ 26, 3, 56 ], [ 26, 4, 57 ], [ 26, 5, 58 ], [ 26, 6, 16 ], [ 26, 7, 22 ], [ 26, 8, 23 ], [ 26, 9, 42 ], [ 26, 10, 40 ], [ 26, 11, 39 ], [ 26, 12, 42 ], [ 26, 13, 56 ], [ 26, 14, 16 ], [ 26, 15, 9 ], [ 26, 16, 23 ], [ 26, 17, 22 ], [ 26, 18, 0 ], [ 26, 19, 39 ], [ 26, 20, 40 ], [ 26, 21, 6 ], [ 26, 22, 57 ], [ 26, 23, 58 ], [ 26, 24, 22 ], [ 26, 25, 40 ], [ 26, 26, 0 ], [ 26, 27, 57 ], [ 26, 28, 42 ], [ 26, 29, 39 ], [ 26, 30, 58 ], [ 26, 31, 9 ], [ 26, 32, 6 ], [ 26, 33, 56 ], [ 26, 34, 23 ], [ 26, 35, 16 ], [ 26, 36, 39 ], [ 26, 37, 6 ], [ 26, 38, 57 ], [ 26, 39, 23 ], [ 26, 40, 58 ], [ 26, 41, 56 ], [ 26, 42, 16 ], [ 26, 43, 40 ], [ 26, 44, 42 ], [ 26, 45, 22 ], [ 26, 46, 0 ], [ 26, 47, 9 ], [ 26, 48, 58 ], [ 26, 49, 23 ], [ 26, 50, 9 ], [ 26, 51, 40 ], [ 26, 52, 16 ], [ 26, 53, 22 ], [ 26, 54, 39 ], [ 26, 55, 6 ], [ 26, 56, 0 ], [ 26, 57, 42 ], [ 26, 58, 57 ], [ 26, 59, 56 ], [ 27, 0, 0 ], [ 27, 1, 53 ], [ 27, 2, 41 ], [ 27, 3, 15 ], [ 27, 4, 57 ], [ 27, 5, 45 ], [ 27, 6, 16 ], [ 27, 7, 7 ], [ 27, 8, 36 ], [ 27, 9, 17 ], [ 27, 10, 10 ], [ 27, 11, 48 ], [ 27, 12, 24 ], [ 27, 13, 35 ], [ 27, 14, 32 ], [ 27, 15, 15 ], [ 27, 16, 45 ], [ 27, 17, 57 ], [ 27, 18, 16 ], [ 27, 19, 36 ], [ 27, 20, 7 ], [ 27, 21, 17 ], [ 27, 22, 48 ], [ 27, 23, 10 ], [ 27, 24, 24 ], [ 27, 25, 32 ], [ 27, 26, 35 ], [ 27, 27, 0 ], [ 27, 28, 41 ], [ 27, 29, 53 ], [ 27, 30, 7 ], [ 27, 31, 36 ], [ 27, 32, 16 ], [ 27, 33, 10 ], [ 27, 34, 48 ], [ 27, 35, 17 ], [ 27, 36, 35 ], [ 27, 37, 32 ], [ 27, 38, 24 ], [ 27, 39, 53 ], [ 27, 40, 41 ], [ 27, 41, 0 ], [ 27, 42, 57 ], [ 27, 43, 45 ], [ 27, 44, 15 ], [ 27, 45, 48 ], [ 27, 46, 10 ], [ 27, 47, 17 ], [ 27, 48, 32 ], [ 27, 49, 35 ], [ 27, 50, 24 ], [ 27, 51, 41 ], [ 27, 52, 53 ], [ 27, 53, 0 ], [ 27, 54, 45 ], [ 27, 55, 57 ], [ 27, 56, 15 ], [ 27, 57, 36 ], [ 27, 58, 7 ], [ 27, 59, 16 ], [ 28, 0, 0 ], [ 28, 1, 53 ], [ 28, 2, 41 ], [ 28, 3, 56 ], [ 28, 4, 13 ], [ 28, 5, 1 ], [ 28, 6, 43 ], [ 28, 7, 52 ], [ 28, 8, 23 ], [ 28, 9, 4 ], [ 28, 10, 19 ], [ 28, 11, 39 ], [ 28, 12, 34 ], [ 28, 13, 30 ], [ 28, 14, 25 ], [ 28, 15, 13 ], [ 28, 16, 35 ], [ 28, 17, 56 ], [ 28, 18, 23 ], [ 28, 19, 43 ], [ 28, 20, 32 ], [ 28, 21, 19 ], [ 28, 22, 24 ], [ 28, 23, 4 ], [ 28, 24, 30 ], [ 28, 25, 29 ], [ 28, 26, 34 ], [ 28, 27, 41 ], [ 28, 28, 0 ], [ 28, 29, 27 ], [ 28, 30, 43 ], [ 28, 31, 32 ], [ 28, 32, 52 ], [ 28, 33, 39 ], [ 28, 34, 19 ], [ 28, 35, 24 ], [ 28, 36, 25 ], [ 28, 37, 30 ], [ 28, 38, 29 ], [ 28, 39, 0 ], [ 28, 40, 27 ], [ 28, 41, 53 ], [ 28, 42, 1 ], [ 28, 43, 13 ], [ 28, 44, 35 ], [ 28, 45, 4 ], [ 28, 46, 24 ], [ 28, 47, 39 ], [ 28, 48, 34 ], [ 28, 49, 29 ], [ 28, 50, 25 ], [ 28, 51, 53 ], [ 28, 52, 41 ], [ 28, 53, 27 ], [ 28, 54, 56 ], [ 28, 55, 35 ], [ 28, 56, 1 ], [ 28, 57, 52 ], [ 28, 58, 23 ], [ 28, 59, 32 ], [ 29, 0, 0 ], [ 29, 1, 53 ], [ 29, 2, 41 ], [ 29, 3, 44 ], [ 29, 4, 2 ], [ 29, 5, 14 ], [ 29, 6, 5 ], [ 29, 7, 22 ], [ 29, 8, 51 ], [ 29, 9, 55 ], [ 29, 10, 40 ], [ 29, 11, 20 ], [ 29, 12, 31 ], [ 29, 13, 26 ], [ 29, 14, 33 ], [ 29, 15, 14 ], [ 29, 16, 44 ], [ 29, 17, 32 ], [ 29, 18, 22 ], [ 29, 19, 24 ], [ 29, 20, 5 ], [ 29, 21, 20 ], [ 29, 22, 55 ], [ 29, 23, 35 ], [ 29, 24, 33 ], [ 29, 25, 31 ], [ 29, 26, 28 ], [ 29, 27, 53 ], [ 29, 28, 27 ], [ 29, 29, 0 ], [ 29, 30, 51 ], [ 29, 31, 22 ], [ 29, 32, 24 ], [ 29, 33, 55 ], [ 29, 34, 35 ], [ 29, 35, 40 ], [ 29, 36, 31 ], [ 29, 37, 28 ], [ 29, 38, 26 ], [ 29, 39, 41 ], [ 29, 40, 53 ], [ 29, 41, 27 ], [ 29, 42, 44 ], [ 29, 43, 32 ], [ 29, 44, 2 ], [ 29, 45, 40 ], [ 29, 46, 20 ], [ 29, 47, 35 ], [ 29, 48, 26 ], [ 29, 49, 33 ], [ 29, 50, 28 ], [ 29, 51, 0 ], [ 29, 52, 27 ], [ 29, 53, 41 ], [ 29, 54, 2 ], [ 29, 55, 14 ], [ 29, 56, 32 ], [ 29, 57, 5 ], [ 29, 58, 24 ], [ 29, 59, 51 ], [ 30, 0, 0 ], [ 30, 1, 21 ], [ 30, 2, 50 ], [ 30, 3, 44 ], [ 30, 4, 13 ], [ 30, 5, 58 ], [ 30, 6, 43 ], [ 30, 7, 7 ], [ 30, 8, 51 ], [ 30, 9, 42 ], [ 30, 10, 10 ], [ 30, 11, 20 ], [ 30, 12, 50 ], [ 30, 13, 0 ], [ 30, 14, 21 ], [ 30, 15, 43 ], [ 30, 16, 29 ], [ 30, 17, 10 ], [ 30, 18, 42 ], [ 30, 19, 13 ], [ 30, 20, 34 ], [ 30, 21, 44 ], [ 30, 22, 25 ], [ 30, 23, 51 ], [ 30, 24, 13 ], [ 30, 25, 58 ], [ 30, 26, 44 ], [ 30, 27, 10 ], [ 30, 28, 43 ], [ 30, 29, 29 ], [ 30, 30, 0 ], [ 30, 31, 25 ], [ 30, 32, 20 ], [ 30, 33, 7 ], [ 30, 34, 50 ], [ 30, 35, 34 ], [ 30, 36, 51 ], [ 30, 37, 43 ], [ 30, 38, 7 ], [ 30, 39, 13 ], [ 30, 40, 34 ], [ 30, 41, 42 ], [ 30, 42, 20 ], [ 30, 43, 0 ], [ 30, 44, 25 ], [ 30, 45, 21 ], [ 30, 46, 29 ], [ 30, 47, 58 ], [ 30, 48, 10 ], [ 30, 49, 20 ], [ 30, 50, 42 ], [ 30, 51, 51 ], [ 30, 52, 44 ], [ 30, 53, 25 ], [ 30, 54, 50 ], [ 30, 55, 34 ], [ 30, 56, 7 ], [ 30, 57, 58 ], [ 30, 58, 21 ], [ 30, 59, 29 ], [ 31, 0, 0 ], [ 31, 1, 21 ], [ 31, 2, 50 ], [ 31, 3, 56 ], [ 31, 4, 2 ], [ 31, 5, 45 ], [ 31, 6, 5 ], [ 31, 7, 37 ], [ 31, 8, 23 ], [ 31, 9, 17 ], [ 31, 10, 49 ], [ 31, 11, 39 ], [ 31, 12, 23 ], [ 31, 13, 49 ], [ 31, 14, 2 ], [ 31, 15, 37 ], [ 31, 16, 5 ], [ 31, 17, 21 ], [ 31, 18, 39 ], [ 31, 19, 50 ], [ 31, 20, 17 ], [ 31, 21, 45 ], [ 31, 22, 56 ], [ 31, 23, 0 ], [ 31, 24, 39 ], [ 31, 25, 50 ], [ 31, 26, 5 ], [ 31, 27, 17 ], [ 31, 28, 45 ], [ 31, 29, 49 ], [ 31, 30, 21 ], [ 31, 31, 0 ], [ 31, 32, 56 ], [ 31, 33, 23 ], [ 31, 34, 2 ], [ 31, 35, 37 ], [ 31, 36, 45 ], [ 31, 37, 17 ], [ 31, 38, 0 ], [ 31, 39, 56 ], [ 31, 40, 2 ], [ 31, 41, 37 ], [ 31, 42, 49 ], [ 31, 43, 23 ], [ 31, 44, 39 ], [ 31, 45, 50 ], [ 31, 46, 21 ], [ 31, 47, 5 ], [ 31, 48, 37 ], [ 31, 49, 21 ], [ 31, 50, 56 ], [ 31, 51, 5 ], [ 31, 52, 39 ], [ 31, 53, 23 ], [ 31, 54, 0 ], [ 31, 55, 50 ], [ 31, 56, 17 ], [ 31, 57, 2 ], [ 31, 58, 49 ], [ 31, 59, 45 ], [ 32, 0, 0 ], [ 32, 1, 21 ], [ 32, 2, 50 ], [ 32, 3, 15 ], [ 32, 4, 46 ], [ 32, 5, 1 ], [ 32, 6, 54 ], [ 32, 7, 22 ], [ 32, 8, 36 ], [ 32, 9, 4 ], [ 32, 10, 40 ], [ 32, 11, 48 ], [ 32, 12, 1 ], [ 32, 13, 22 ], [ 32, 14, 48 ], [ 32, 15, 36 ], [ 32, 16, 0 ], [ 32, 17, 54 ], [ 32, 18, 40 ], [ 32, 19, 4 ], [ 32, 20, 21 ], [ 32, 21, 46 ], [ 32, 22, 50 ], [ 32, 23, 15 ], [ 32, 24, 21 ], [ 32, 25, 36 ], [ 32, 26, 4 ], [ 32, 27, 48 ], [ 32, 28, 40 ], [ 32, 29, 15 ], [ 32, 30, 50 ], [ 32, 31, 46 ], [ 32, 32, 0 ], [ 32, 33, 54 ], [ 32, 34, 22 ], [ 32, 35, 1 ], [ 32, 36, 50 ], [ 32, 37, 15 ], [ 32, 38, 40 ], [ 32, 39, 1 ], [ 32, 40, 54 ], [ 32, 41, 46 ], [ 32, 42, 4 ], [ 32, 43, 48 ], [ 32, 44, 22 ], [ 32, 45, 0 ], [ 32, 46, 36 ], [ 32, 47, 21 ], [ 32, 48, 0 ], [ 32, 49, 46 ], [ 32, 50, 54 ], [ 32, 51, 22 ], [ 32, 52, 36 ], [ 32, 53, 4 ], [ 32, 54, 21 ], [ 32, 55, 40 ], [ 32, 56, 50 ], [ 32, 57, 15 ], [ 32, 58, 1 ], [ 32, 59, 48 ], [ 33, 0, 0 ], [ 33, 1, 38 ], [ 33, 2, 18 ], [ 33, 3, 56 ], [ 33, 4, 46 ], [ 33, 5, 14 ], [ 33, 6, 54 ], [ 33, 7, 7 ], [ 33, 8, 23 ], [ 33, 9, 55 ], [ 33, 10, 10 ], [ 33, 11, 39 ], [ 33, 12, 38 ], [ 33, 13, 18 ], [ 33, 14, 0 ], [ 33, 15, 55 ], [ 33, 16, 7 ], [ 33, 17, 28 ], [ 33, 18, 56 ], [ 33, 19, 26 ], [ 33, 20, 39 ], [ 33, 21, 54 ], [ 33, 22, 14 ], [ 33, 23, 31 ], [ 33, 24, 14 ], [ 33, 25, 56 ], [ 33, 26, 46 ], [ 33, 27, 7 ], [ 33, 28, 28 ], [ 33, 29, 55 ], [ 33, 30, 10 ], [ 33, 31, 38 ], [ 33, 32, 31 ], [ 33, 33, 0 ], [ 33, 34, 26 ], [ 33, 35, 23 ], [ 33, 36, 7 ], [ 33, 37, 23 ], [ 33, 38, 54 ], [ 33, 39, 39 ], [ 33, 40, 56 ], [ 33, 41, 26 ], [ 33, 42, 38 ], [ 33, 43, 31 ], [ 33, 44, 10 ], [ 33, 45, 46 ], [ 33, 46, 18 ], [ 33, 47, 28 ], [ 33, 48, 39 ], [ 33, 49, 55 ], [ 33, 50, 10 ], [ 33, 51, 14 ], [ 33, 52, 31 ], [ 33, 53, 54 ], [ 33, 54, 23 ], [ 33, 55, 0 ], [ 33, 56, 26 ], [ 33, 57, 18 ], [ 33, 58, 28 ], [ 33, 59, 46 ], [ 34, 0, 0 ], [ 34, 1, 38 ], [ 34, 2, 18 ], [ 34, 3, 44 ], [ 34, 4, 57 ], [ 34, 5, 1 ], [ 34, 6, 16 ], [ 34, 7, 37 ], [ 34, 8, 51 ], [ 34, 9, 4 ], [ 34, 10, 49 ], [ 34, 11, 20 ], [ 34, 12, 20 ], [ 34, 13, 1 ], [ 34, 14, 37 ], [ 34, 15, 49 ], [ 34, 16, 18 ], [ 34, 17, 4 ], [ 34, 18, 57 ], [ 34, 19, 44 ], [ 34, 20, 0 ], [ 34, 21, 51 ], [ 34, 22, 38 ], [ 34, 23, 16 ], [ 34, 24, 51 ], [ 34, 25, 4 ], [ 34, 26, 38 ], [ 34, 27, 16 ], [ 34, 28, 37 ], [ 34, 29, 57 ], [ 34, 30, 20 ], [ 34, 31, 1 ], [ 34, 32, 49 ], [ 34, 33, 18 ], [ 34, 34, 0 ], [ 34, 35, 44 ], [ 34, 36, 49 ], [ 34, 37, 18 ], [ 34, 38, 44 ], [ 34, 39, 4 ], [ 34, 40, 51 ], [ 34, 41, 20 ], [ 34, 42, 0 ], [ 34, 43, 38 ], [ 34, 44, 16 ], [ 34, 45, 1 ], [ 34, 46, 37 ], [ 34, 47, 57 ], [ 34, 48, 57 ], [ 34, 49, 16 ], [ 34, 50, 0 ], [ 34, 51, 44 ], [ 34, 52, 1 ], [ 34, 53, 49 ], [ 34, 54, 37 ], [ 34, 55, 20 ], [ 34, 56, 51 ], [ 34, 57, 38 ], [ 34, 58, 18 ], [ 34, 59, 4 ], [ 35, 0, 0 ], [ 35, 1, 38 ], [ 35, 2, 18 ], [ 35, 3, 15 ], [ 35, 4, 2 ], [ 35, 5, 58 ], [ 35, 6, 5 ], [ 35, 7, 52 ], [ 35, 8, 36 ], [ 35, 9, 42 ], [ 35, 10, 19 ], [ 35, 11, 48 ], [ 35, 12, 2 ], [ 35, 13, 36 ], [ 35, 14, 19 ], [ 35, 15, 48 ], [ 35, 16, 42 ], [ 35, 17, 0 ], [ 35, 18, 58 ], [ 35, 19, 38 ], [ 35, 20, 15 ], [ 35, 21, 52 ], [ 35, 22, 5 ], [ 35, 23, 18 ], [ 35, 24, 18 ], [ 35, 25, 5 ], [ 35, 26, 48 ], [ 35, 27, 36 ], [ 35, 28, 15 ], [ 35, 29, 52 ], [ 35, 30, 42 ], [ 35, 31, 19 ], [ 35, 32, 2 ], [ 35, 33, 38 ], [ 35, 34, 58 ], [ 35, 35, 0 ], [ 35, 36, 0 ], [ 35, 37, 58 ], [ 35, 38, 42 ], [ 35, 39, 19 ], [ 35, 40, 48 ], [ 35, 41, 5 ], [ 35, 42, 18 ], [ 35, 43, 52 ], [ 35, 44, 38 ], [ 35, 45, 15 ], [ 35, 46, 2 ], [ 35, 47, 36 ], [ 35, 48, 38 ], [ 35, 49, 15 ], [ 35, 50, 52 ], [ 35, 51, 2 ], [ 35, 52, 42 ], [ 35, 53, 58 ], [ 35, 54, 5 ], [ 35, 55, 36 ], [ 35, 56, 19 ], [ 35, 57, 0 ], [ 35, 58, 48 ], [ 35, 59, 18 ], [ 36, 0, 0 ], [ 36, 1, 10 ], [ 36, 2, 4 ], [ 36, 3, 21 ], [ 36, 4, 20 ], [ 36, 5, 22 ], [ 36, 6, 56 ], [ 36, 7, 54 ], [ 36, 8, 57 ], [ 36, 9, 29 ], [ 36, 10, 32 ], [ 36, 11, 28 ], [ 36, 12, 20 ], [ 36, 13, 57 ], [ 36, 14, 32 ], [ 36, 15, 28 ], [ 36, 16, 29 ], [ 36, 17, 0 ], [ 36, 18, 22 ], [ 36, 19, 10 ], [ 36, 20, 21 ], [ 36, 21, 54 ], [ 36, 22, 56 ], [ 36, 23, 4 ], [ 36, 24, 4 ], [ 36, 25, 56 ], [ 36, 26, 28 ], [ 36, 27, 57 ], [ 36, 28, 21 ], [ 36, 29, 54 ], [ 36, 30, 29 ], [ 36, 31, 32 ], [ 36, 32, 20 ], [ 36, 33, 10 ], [ 36, 34, 22 ], [ 36, 35, 0 ], [ 36, 36, 0 ], [ 36, 37, 22 ], [ 36, 38, 29 ], [ 36, 39, 32 ], [ 36, 40, 28 ], [ 36, 41, 56 ], [ 36, 42, 4 ], [ 36, 43, 54 ], [ 36, 44, 10 ], [ 36, 45, 21 ], [ 36, 46, 20 ], [ 36, 47, 57 ], [ 36, 48, 10 ], [ 36, 49, 21 ], [ 36, 50, 54 ], [ 36, 51, 20 ], [ 36, 52, 29 ], [ 36, 53, 22 ], [ 36, 54, 56 ], [ 36, 55, 57 ], [ 36, 56, 32 ], [ 36, 57, 0 ], [ 36, 58, 28 ], [ 36, 59, 4 ], [ 37, 0, 0 ], [ 37, 1, 10 ], [ 37, 2, 4 ], [ 37, 3, 26 ], [ 37, 4, 30 ], [ 37, 5, 24 ], [ 37, 6, 13 ], [ 37, 7, 12 ], [ 37, 8, 19 ], [ 37, 9, 49 ], [ 37, 10, 59 ], [ 37, 11, 50 ], [ 37, 12, 59 ], [ 37, 13, 30 ], [ 37, 14, 19 ], [ 37, 15, 43 ], [ 37, 16, 44 ], [ 37, 17, 4 ], [ 37, 18, 40 ], [ 37, 19, 0 ], [ 37, 20, 39 ], [ 37, 21, 45 ], [ 37, 22, 47 ], [ 37, 23, 10 ], [ 37, 24, 13 ], [ 37, 25, 50 ], [ 37, 26, 4 ], [ 37, 27, 45 ], [ 37, 28, 30 ], [ 37, 29, 39 ], [ 37, 30, 43 ], [ 37, 31, 36 ], [ 37, 32, 24 ], [ 37, 33, 38 ], [ 37, 34, 26 ], [ 37, 35, 44 ], [ 37, 36, 49 ], [ 37, 37, 0 ], [ 37, 38, 24 ], [ 37, 39, 43 ], [ 37, 40, 47 ], [ 37, 41, 19 ], [ 37, 42, 38 ], [ 37, 43, 13 ], [ 37, 44, 39 ], [ 37, 45, 40 ], [ 37, 46, 36 ], [ 37, 47, 12 ], [ 37, 48, 26 ], [ 37, 49, 12 ], [ 37, 50, 10 ], [ 37, 51, 40 ], [ 37, 52, 59 ], [ 37, 53, 44 ], [ 37, 54, 45 ], [ 37, 55, 36 ], [ 37, 56, 50 ], [ 37, 57, 38 ], [ 37, 58, 49 ], [ 37, 59, 47 ], [ 38, 0, 0 ], [ 38, 1, 10 ], [ 38, 2, 4 ], [ 38, 3, 52 ], [ 38, 4, 58 ], [ 38, 5, 51 ], [ 38, 6, 35 ], [ 38, 7, 34 ], [ 38, 8, 31 ], [ 38, 9, 15 ], [ 38, 10, 18 ], [ 38, 11, 16 ], [ 38, 12, 31 ], [ 38, 13, 18 ], [ 38, 14, 58 ], [ 38, 15, 34 ], [ 38, 16, 35 ], [ 38, 17, 10 ], [ 38, 18, 16 ], [ 38, 19, 4 ], [ 38, 20, 15 ], [ 38, 21, 51 ], [ 38, 22, 52 ], [ 38, 23, 0 ], [ 38, 24, 16 ], [ 38, 25, 4 ], [ 38, 26, 35 ], [ 38, 27, 15 ], [ 38, 28, 51 ], [ 38, 29, 18 ], [ 38, 30, 10 ], [ 38, 31, 0 ], [ 38, 32, 52 ], [ 38, 33, 31 ], [ 38, 34, 58 ], [ 38, 35, 34 ], [ 38, 36, 51 ], [ 38, 37, 15 ], [ 38, 38, 0 ], [ 38, 39, 52 ], [ 38, 40, 58 ], [ 38, 41, 34 ], [ 38, 42, 18 ], [ 38, 43, 31 ], [ 38, 44, 16 ], [ 38, 45, 4 ], [ 38, 46, 10 ], [ 38, 47, 35 ], [ 38, 48, 34 ], [ 38, 49, 10 ], [ 38, 50, 52 ], [ 38, 51, 35 ], [ 38, 52, 16 ], [ 38, 53, 31 ], [ 38, 54, 0 ], [ 38, 55, 4 ], [ 38, 56, 15 ], [ 38, 57, 58 ], [ 38, 58, 18 ], [ 38, 59, 51 ], [ 39, 0, 0 ], [ 39, 1, 27 ], [ 39, 2, 53 ], [ 39, 3, 21 ], [ 39, 4, 30 ], [ 39, 5, 51 ], [ 39, 6, 13 ], [ 39, 7, 2 ], [ 39, 8, 57 ], [ 39, 9, 15 ], [ 39, 10, 6 ], [ 39, 11, 28 ], [ 39, 12, 38 ], [ 39, 13, 43 ], [ 39, 14, 45 ], [ 39, 15, 30 ], [ 39, 16, 42 ], [ 39, 17, 21 ], [ 39, 18, 57 ], [ 39, 19, 13 ], [ 39, 20, 46 ], [ 39, 21, 6 ], [ 39, 22, 37 ], [ 39, 23, 15 ], [ 39, 24, 43 ], [ 39, 25, 40 ], [ 39, 26, 38 ], [ 39, 27, 53 ], [ 39, 28, 0 ], [ 39, 29, 41 ], [ 39, 30, 13 ], [ 39, 31, 46 ], [ 39, 32, 2 ], [ 39, 33, 28 ], [ 39, 34, 6 ], [ 39, 35, 37 ], [ 39, 36, 45 ], [ 39, 37, 43 ], [ 39, 38, 40 ], [ 39, 39, 0 ], [ 39, 40, 41 ], [ 39, 41, 27 ], [ 39, 42, 51 ], [ 39, 43, 30 ], [ 39, 44, 42 ], [ 39, 45, 15 ], [ 39, 46, 37 ], [ 39, 47, 28 ], [ 39, 48, 38 ], [ 39, 49, 40 ], [ 39, 50, 45 ], [ 39, 51, 27 ], [ 39, 52, 53 ], [ 39, 53, 41 ], [ 39, 54, 21 ], [ 39, 55, 42 ], [ 39, 56, 51 ], [ 39, 57, 2 ], [ 39, 58, 57 ], [ 39, 59, 46 ], [ 40, 0, 0 ], [ 40, 1, 27 ], [ 40, 2, 53 ], [ 40, 3, 52 ], [ 40, 4, 7 ], [ 40, 5, 22 ], [ 40, 6, 1 ], [ 40, 7, 12 ], [ 40, 8, 31 ], [ 40, 9, 29 ], [ 40, 10, 59 ], [ 40, 11, 16 ], [ 40, 12, 47 ], [ 40, 13, 36 ], [ 40, 14, 44 ], [ 40, 15, 37 ], [ 40, 16, 7 ], [ 40, 17, 22 ], [ 40, 18, 42 ], [ 40, 19, 12 ], [ 40, 20, 31 ], [ 40, 21, 46 ], [ 40, 22, 59 ], [ 40, 23, 16 ], [ 40, 24, 39 ], [ 40, 25, 36 ], [ 40, 26, 44 ], [ 40, 27, 41 ], [ 40, 28, 27 ], [ 40, 29, 53 ], [ 40, 30, 42 ], [ 40, 31, 1 ], [ 40, 32, 31 ], [ 40, 33, 46 ], [ 40, 34, 29 ], [ 40, 35, 16 ], [ 40, 36, 39 ], [ 40, 37, 47 ], [ 40, 38, 44 ], [ 40, 39, 41 ], [ 40, 40, 0 ], [ 40, 41, 53 ], [ 40, 42, 37 ], [ 40, 43, 52 ], [ 40, 44, 22 ], [ 40, 45, 46 ], [ 40, 46, 29 ], [ 40, 47, 59 ], [ 40, 48, 39 ], [ 40, 49, 47 ], [ 40, 50, 36 ], [ 40, 51, 41 ], [ 40, 52, 0 ], [ 40, 53, 27 ], [ 40, 54, 37 ], [ 40, 55, 52 ], [ 40, 56, 7 ], [ 40, 57, 42 ], [ 40, 58, 1 ], [ 40, 59, 12 ], [ 41, 0, 0 ], [ 41, 1, 27 ], [ 41, 2, 53 ], [ 41, 3, 26 ], [ 41, 4, 20 ], [ 41, 5, 5 ], [ 41, 6, 56 ], [ 41, 7, 34 ], [ 41, 8, 19 ], [ 41, 9, 9 ], [ 41, 10, 18 ], [ 41, 11, 50 ], [ 41, 12, 42 ], [ 41, 13, 46 ], [ 41, 14, 37 ], [ 41, 15, 26 ], [ 41, 16, 5 ], [ 41, 17, 20 ], [ 41, 18, 56 ], [ 41, 19, 19 ], [ 41, 20, 34 ], [ 41, 21, 9 ], [ 41, 22, 50 ], [ 41, 23, 18 ], [ 41, 24, 42 ], [ 41, 25, 37 ], [ 41, 26, 46 ], [ 41, 27, 0 ], [ 41, 28, 53 ], [ 41, 29, 27 ], [ 41, 30, 34 ], [ 41, 31, 19 ], [ 41, 32, 56 ], [ 41, 33, 18 ], [ 41, 34, 50 ], [ 41, 35, 9 ], [ 41, 36, 46 ], [ 41, 37, 37 ], [ 41, 38, 42 ], [ 41, 39, 27 ], [ 41, 40, 53 ], [ 41, 41, 0 ], [ 41, 42, 20 ], [ 41, 43, 5 ], [ 41, 44, 26 ], [ 41, 45, 50 ], [ 41, 46, 18 ], [ 41, 47, 9 ], [ 41, 48, 37 ], [ 41, 49, 46 ], [ 41, 50, 42 ], [ 41, 51, 53 ], [ 41, 52, 27 ], [ 41, 53, 0 ], [ 41, 54, 5 ], [ 41, 55, 20 ], [ 41, 56, 26 ], [ 41, 57, 19 ], [ 41, 58, 34 ], [ 41, 59, 56 ], [ 42, 0, 0 ], [ 42, 1, 48 ], [ 42, 2, 23 ], [ 42, 3, 26 ], [ 42, 4, 58 ], [ 42, 5, 22 ], [ 42, 6, 35 ], [ 42, 7, 2 ], [ 42, 8, 19 ], [ 42, 9, 29 ], [ 42, 10, 6 ], [ 42, 11, 50 ], [ 42, 12, 50 ], [ 42, 13, 22 ], [ 42, 14, 2 ], [ 42, 15, 6 ], [ 42, 16, 23 ], [ 42, 17, 29 ], [ 42, 18, 58 ], [ 42, 19, 26 ], [ 42, 20, 0 ], [ 42, 21, 19 ], [ 42, 22, 48 ], [ 42, 23, 35 ], [ 42, 24, 19 ], [ 42, 25, 29 ], [ 42, 26, 48 ], [ 42, 27, 35 ], [ 42, 28, 2 ], [ 42, 29, 58 ], [ 42, 30, 50 ], [ 42, 31, 22 ], [ 42, 32, 6 ], [ 42, 33, 23 ], [ 42, 34, 0 ], [ 42, 35, 26 ], [ 42, 36, 6 ], [ 42, 37, 23 ], [ 42, 38, 26 ], [ 42, 39, 29 ], [ 42, 40, 19 ], [ 42, 41, 50 ], [ 42, 42, 0 ], [ 42, 43, 48 ], [ 42, 44, 35 ], [ 42, 45, 22 ], [ 42, 46, 2 ], [ 42, 47, 58 ], [ 42, 48, 58 ], [ 42, 49, 35 ], [ 42, 50, 0 ], [ 42, 51, 26 ], [ 42, 52, 22 ], [ 42, 53, 6 ], [ 42, 54, 2 ], [ 42, 55, 50 ], [ 42, 56, 19 ], [ 42, 57, 48 ], [ 42, 58, 23 ], [ 42, 59, 29 ], [ 43, 0, 0 ], [ 43, 1, 48 ], [ 43, 2, 23 ], [ 43, 3, 52 ], [ 43, 4, 30 ], [ 43, 5, 5 ], [ 43, 6, 13 ], [ 43, 7, 54 ], [ 43, 8, 31 ], [ 43, 9, 9 ], [ 43, 10, 32 ], [ 43, 11, 16 ], [ 43, 12, 23 ], [ 43, 13, 0 ], [ 43, 14, 48 ], [ 43, 15, 13 ], [ 43, 16, 45 ], [ 43, 17, 32 ], [ 43, 18, 9 ], [ 43, 19, 30 ], [ 43, 20, 40 ], [ 43, 21, 52 ], [ 43, 22, 38 ], [ 43, 23, 31 ], [ 43, 24, 30 ], [ 43, 25, 5 ], [ 43, 26, 52 ], [ 43, 27, 32 ], [ 43, 28, 13 ], [ 43, 29, 45 ], [ 43, 30, 0 ], [ 43, 31, 38 ], [ 43, 32, 16 ], [ 43, 33, 54 ], [ 43, 34, 23 ], [ 43, 35, 40 ], [ 43, 36, 31 ], [ 43, 37, 13 ], [ 43, 38, 54 ], [ 43, 39, 30 ], [ 43, 40, 40 ], [ 43, 41, 9 ], [ 43, 42, 16 ], [ 43, 43, 0 ], [ 43, 44, 38 ], [ 43, 45, 48 ], [ 43, 46, 45 ], [ 43, 47, 5 ], [ 43, 48, 32 ], [ 43, 49, 16 ], [ 43, 50, 9 ], [ 43, 51, 31 ], [ 43, 52, 52 ], [ 43, 53, 38 ], [ 43, 54, 23 ], [ 43, 55, 40 ], [ 43, 56, 54 ], [ 43, 57, 5 ], [ 43, 58, 48 ], [ 43, 59, 45 ], [ 44, 0, 0 ], [ 44, 1, 48 ], [ 44, 2, 23 ], [ 44, 3, 21 ], [ 44, 4, 7 ], [ 44, 5, 24 ], [ 44, 6, 1 ], [ 44, 7, 34 ], [ 44, 8, 57 ], [ 44, 9, 49 ], [ 44, 10, 18 ], [ 44, 11, 28 ], [ 44, 12, 1 ], [ 44, 13, 49 ], [ 44, 14, 21 ], [ 44, 15, 48 ], [ 44, 16, 18 ], [ 44, 17, 28 ], [ 44, 18, 23 ], [ 44, 19, 24 ], [ 44, 20, 7 ], [ 44, 21, 0 ], [ 44, 22, 57 ], [ 44, 23, 34 ], [ 44, 24, 18 ], [ 44, 25, 0 ], [ 44, 26, 34 ], [ 44, 27, 24 ], [ 44, 28, 57 ], [ 44, 29, 1 ], [ 44, 30, 21 ], [ 44, 31, 28 ], [ 44, 32, 49 ], [ 44, 33, 7 ], [ 44, 34, 48 ], [ 44, 35, 23 ], [ 44, 36, 7 ], [ 44, 37, 28 ], [ 44, 38, 48 ], [ 44, 39, 34 ], [ 44, 40, 49 ], [ 44, 41, 18 ], [ 44, 42, 57 ], [ 44, 43, 23 ], [ 44, 44, 0 ], [ 44, 45, 1 ], [ 44, 46, 24 ], [ 44, 47, 21 ], [ 44, 48, 57 ], [ 44, 49, 23 ], [ 44, 50, 24 ], [ 44, 51, 28 ], [ 44, 52, 7 ], [ 44, 53, 21 ], [ 44, 54, 49 ], [ 44, 55, 34 ], [ 44, 56, 1 ], [ 44, 57, 18 ], [ 44, 58, 0 ], [ 44, 59, 48 ], [ 45, 0, 0 ], [ 45, 1, 17 ], [ 45, 2, 25 ], [ 45, 3, 52 ], [ 45, 4, 20 ], [ 45, 5, 24 ], [ 45, 6, 56 ], [ 45, 7, 2 ], [ 45, 8, 31 ], [ 45, 9, 49 ], [ 45, 10, 6 ], [ 45, 11, 16 ], [ 45, 12, 24 ], [ 45, 13, 2 ], [ 45, 14, 16 ], [ 45, 15, 31 ], [ 45, 16, 0 ], [ 45, 17, 56 ], [ 45, 18, 6 ], [ 45, 19, 49 ], [ 45, 20, 17 ], [ 45, 21, 20 ], [ 45, 22, 25 ], [ 45, 23, 52 ], [ 45, 24, 17 ], [ 45, 25, 31 ], [ 45, 26, 49 ], [ 45, 27, 16 ], [ 45, 28, 6 ], [ 45, 29, 52 ], [ 45, 30, 25 ], [ 45, 31, 20 ], [ 45, 32, 0 ], [ 45, 33, 56 ], [ 45, 34, 2 ], [ 45, 35, 24 ], [ 45, 36, 25 ], [ 45, 37, 52 ], [ 45, 38, 6 ], [ 45, 39, 24 ], [ 45, 40, 56 ], [ 45, 41, 20 ], [ 45, 42, 49 ], [ 45, 43, 16 ], [ 45, 44, 2 ], [ 45, 45, 0 ], [ 45, 46, 31 ], [ 45, 47, 17 ], [ 45, 48, 0 ], [ 45, 49, 20 ], [ 45, 50, 56 ], [ 45, 51, 2 ], [ 45, 52, 31 ], [ 45, 53, 49 ], [ 45, 54, 17 ], [ 45, 55, 6 ], [ 45, 56, 25 ], [ 45, 57, 52 ], [ 45, 58, 24 ], [ 45, 59, 16 ], [ 46, 0, 0 ], [ 46, 1, 17 ], [ 46, 2, 25 ], [ 46, 3, 26 ], [ 46, 4, 7 ], [ 46, 5, 51 ], [ 46, 6, 1 ], [ 46, 7, 54 ], [ 46, 8, 19 ], [ 46, 9, 15 ], [ 46, 10, 32 ], [ 46, 11, 50 ], [ 46, 12, 15 ], [ 46, 13, 26 ], [ 46, 14, 1 ], [ 46, 15, 25 ], [ 46, 16, 19 ], [ 46, 17, 54 ], [ 46, 18, 0 ], [ 46, 19, 50 ], [ 46, 20, 32 ], [ 46, 21, 17 ], [ 46, 22, 7 ], [ 46, 23, 51 ], [ 46, 24, 54 ], [ 46, 25, 32 ], [ 46, 26, 0 ], [ 46, 27, 7 ], [ 46, 28, 15 ], [ 46, 29, 50 ], [ 46, 30, 51 ], [ 46, 31, 25 ], [ 46, 32, 17 ], [ 46, 33, 26 ], [ 46, 34, 19 ], [ 46, 35, 1 ], [ 46, 36, 50 ], [ 46, 37, 17 ], [ 46, 38, 7 ], [ 46, 39, 19 ], [ 46, 40, 51 ], [ 46, 41, 26 ], [ 46, 42, 1 ], [ 46, 43, 32 ], [ 46, 44, 15 ], [ 46, 45, 54 ], [ 46, 46, 0 ], [ 46, 47, 25 ], [ 46, 48, 51 ], [ 46, 49, 19 ], [ 46, 50, 25 ], [ 46, 51, 32 ], [ 46, 52, 1 ], [ 46, 53, 54 ], [ 46, 54, 50 ], [ 46, 55, 17 ], [ 46, 56, 0 ], [ 46, 57, 15 ], [ 46, 58, 7 ], [ 46, 59, 26 ], [ 47, 0, 0 ], [ 47, 1, 17 ], [ 47, 2, 25 ], [ 47, 3, 21 ], [ 47, 4, 58 ], [ 47, 5, 5 ], [ 47, 6, 35 ], [ 47, 7, 12 ], [ 47, 8, 57 ], [ 47, 9, 9 ], [ 47, 10, 59 ], [ 47, 11, 28 ], [ 47, 12, 0 ], [ 47, 13, 17 ], [ 47, 14, 25 ], [ 47, 15, 36 ], [ 47, 16, 28 ], [ 47, 17, 57 ], [ 47, 18, 39 ], [ 47, 19, 59 ], [ 47, 20, 5 ], [ 47, 21, 44 ], [ 47, 22, 12 ], [ 47, 23, 58 ], [ 47, 24, 21 ], [ 47, 25, 58 ], [ 47, 26, 5 ], [ 47, 27, 36 ], [ 47, 28, 28 ], [ 47, 29, 57 ], [ 47, 30, 44 ], [ 47, 31, 9 ], [ 47, 32, 25 ], [ 47, 33, 39 ], [ 47, 34, 35 ], [ 47, 35, 17 ], [ 47, 36, 35 ], [ 47, 37, 12 ], [ 47, 38, 57 ], [ 47, 39, 39 ], [ 47, 40, 59 ], [ 47, 41, 5 ], [ 47, 42, 44 ], [ 47, 43, 9 ], [ 47, 44, 25 ], [ 47, 45, 36 ], [ 47, 46, 21 ], [ 47, 47, 0 ], [ 47, 48, 9 ], [ 47, 49, 59 ], [ 47, 50, 28 ], [ 47, 51, 44 ], [ 47, 52, 12 ], [ 47, 53, 58 ], [ 47, 54, 39 ], [ 47, 55, 35 ], [ 47, 56, 17 ], [ 47, 57, 36 ], [ 47, 58, 21 ], [ 47, 59, 0 ], [ 48, 0, 0 ], [ 48, 1, 5 ], [ 48, 2, 7 ], [ 48, 3, 18 ], [ 48, 4, 19 ], [ 48, 5, 23 ], [ 48, 6, 28 ], [ 48, 7, 35 ], [ 48, 8, 29 ], [ 48, 9, 44 ], [ 48, 10, 42 ], [ 48, 11, 45 ], [ 48, 12, 23 ], [ 48, 13, 35 ], [ 48, 14, 45 ], [ 48, 15, 29 ], [ 48, 16, 0 ], [ 48, 17, 28 ], [ 48, 18, 42 ], [ 48, 19, 44 ], [ 48, 20, 5 ], [ 48, 21, 19 ], [ 48, 22, 7 ], [ 48, 23, 18 ], [ 48, 24, 5 ], [ 48, 25, 29 ], [ 48, 26, 44 ], [ 48, 27, 45 ], [ 48, 28, 42 ], [ 48, 29, 18 ], [ 48, 30, 7 ], [ 48, 31, 19 ], [ 48, 32, 0 ], [ 48, 33, 28 ], [ 48, 34, 35 ], [ 48, 35, 23 ], [ 48, 36, 7 ], [ 48, 37, 18 ], [ 48, 38, 42 ], [ 48, 39, 23 ], [ 48, 40, 28 ], [ 48, 41, 19 ], [ 48, 42, 44 ], [ 48, 43, 45 ], [ 48, 44, 35 ], [ 48, 45, 0 ], [ 48, 46, 29 ], [ 48, 47, 5 ], [ 48, 48, 0 ], [ 48, 49, 19 ], [ 48, 50, 28 ], [ 48, 51, 35 ], [ 48, 52, 29 ], [ 48, 53, 44 ], [ 48, 54, 5 ], [ 48, 55, 42 ], [ 48, 56, 7 ], [ 48, 57, 18 ], [ 48, 58, 23 ], [ 48, 59, 45 ], [ 49, 0, 0 ], [ 49, 1, 5 ], [ 49, 2, 7 ], [ 49, 3, 25 ], [ 49, 4, 24 ], [ 49, 5, 33 ], [ 49, 6, 37 ], [ 49, 7, 47 ], [ 49, 8, 38 ], [ 49, 9, 14 ], [ 49, 10, 12 ], [ 49, 11, 22 ], [ 49, 12, 47 ], [ 49, 13, 22 ], [ 49, 14, 33 ], [ 49, 15, 55 ], [ 49, 16, 5 ], [ 49, 17, 56 ], [ 49, 18, 57 ], [ 49, 19, 59 ], [ 49, 20, 7 ], [ 49, 21, 52 ], [ 49, 22, 0 ], [ 49, 23, 51 ], [ 49, 24, 14 ], [ 49, 25, 5 ], [ 49, 26, 38 ], [ 49, 27, 57 ], [ 49, 28, 51 ], [ 49, 29, 33 ], [ 49, 30, 50 ], [ 49, 31, 25 ], [ 49, 32, 56 ], [ 49, 33, 55 ], [ 49, 34, 48 ], [ 49, 35, 24 ], [ 49, 36, 25 ], [ 49, 37, 12 ], [ 49, 38, 7 ], [ 49, 39, 52 ], [ 49, 40, 47 ], [ 49, 41, 56 ], [ 49, 42, 57 ], [ 49, 43, 48 ], [ 49, 44, 38 ], [ 49, 45, 50 ], [ 49, 46, 37 ], [ 49, 47, 59 ], [ 49, 48, 37 ], [ 49, 49, 0 ], [ 49, 50, 24 ], [ 49, 51, 55 ], [ 49, 52, 59 ], [ 49, 53, 22 ], [ 49, 54, 50 ], [ 49, 55, 14 ], [ 49, 56, 51 ], [ 49, 57, 52 ], [ 49, 58, 48 ], [ 49, 59, 12 ], [ 50, 0, 0 ], [ 50, 1, 5 ], [ 50, 2, 7 ], [ 50, 3, 40 ], [ 50, 4, 39 ], [ 50, 5, 46 ], [ 50, 6, 15 ], [ 50, 7, 21 ], [ 50, 8, 17 ], [ 50, 9, 32 ], [ 50, 10, 31 ], [ 50, 11, 34 ], [ 50, 12, 34 ], [ 50, 13, 46 ], [ 50, 14, 21 ], [ 50, 15, 31 ], [ 50, 16, 7 ], [ 50, 17, 32 ], [ 50, 18, 39 ], [ 50, 19, 40 ], [ 50, 20, 0 ], [ 50, 21, 17 ], [ 50, 22, 5 ], [ 50, 23, 15 ], [ 50, 24, 17 ], [ 50, 25, 32 ], [ 50, 26, 5 ], [ 50, 27, 15 ], [ 50, 28, 21 ], [ 50, 29, 39 ], [ 50, 30, 34 ], [ 50, 31, 46 ], [ 50, 32, 31 ], [ 50, 33, 7 ], [ 50, 34, 0 ], [ 50, 35, 40 ], [ 50, 36, 31 ], [ 50, 37, 7 ], [ 50, 38, 40 ], [ 50, 39, 32 ], [ 50, 40, 17 ], [ 50, 41, 34 ], [ 50, 42, 0 ], [ 50, 43, 5 ], [ 50, 44, 15 ], [ 50, 45, 46 ], [ 50, 46, 21 ], [ 50, 47, 39 ], [ 50, 48, 39 ], [ 50, 49, 15 ], [ 50, 50, 0 ], [ 50, 51, 40 ], [ 50, 52, 46 ], [ 50, 53, 31 ], [ 50, 54, 21 ], [ 50, 55, 34 ], [ 50, 56, 17 ], [ 50, 57, 5 ], [ 50, 58, 7 ], [ 50, 59, 32 ], [ 51, 0, 0 ], [ 51, 1, 41 ], [ 51, 2, 27 ], [ 51, 3, 18 ], [ 51, 4, 39 ], [ 51, 5, 33 ], [ 51, 6, 15 ], [ 51, 7, 9 ], [ 51, 8, 29 ], [ 51, 9, 14 ], [ 51, 10, 1 ], [ 51, 11, 45 ], [ 51, 12, 50 ], [ 51, 13, 57 ], [ 51, 14, 55 ], [ 51, 15, 33 ], [ 51, 16, 18 ], [ 51, 17, 54 ], [ 51, 18, 9 ], [ 51, 19, 49 ], [ 51, 20, 15 ], [ 51, 21, 45 ], [ 51, 22, 14 ], [ 51, 23, 58 ], [ 51, 24, 55 ], [ 51, 25, 50 ], [ 51, 26, 52 ], [ 51, 27, 41 ], [ 51, 28, 53 ], [ 51, 29, 0 ], [ 51, 30, 29 ], [ 51, 31, 9 ], [ 51, 32, 49 ], [ 51, 33, 14 ], [ 51, 34, 58 ], [ 51, 35, 1 ], [ 51, 36, 50 ], [ 51, 37, 52 ], [ 51, 38, 57 ], [ 51, 39, 27 ], [ 51, 40, 41 ], [ 51, 41, 53 ], [ 51, 42, 18 ], [ 51, 43, 54 ], [ 51, 44, 39 ], [ 51, 45, 1 ], [ 51, 46, 45 ], [ 51, 47, 58 ], [ 51, 48, 57 ], [ 51, 49, 55 ], [ 51, 50, 52 ], [ 51, 51, 0 ], [ 51, 52, 53 ], [ 51, 53, 27 ], [ 51, 54, 39 ], [ 51, 55, 33 ], [ 51, 56, 54 ], [ 51, 57, 15 ], [ 51, 58, 49 ], [ 51, 59, 29 ], [ 52, 0, 0 ], [ 52, 1, 41 ], [ 52, 2, 27 ], [ 52, 3, 40 ], [ 52, 4, 19 ], [ 52, 5, 10 ], [ 52, 6, 28 ], [ 52, 7, 47 ], [ 52, 8, 17 ], [ 52, 9, 2 ], [ 52, 10, 12 ], [ 52, 11, 34 ], [ 52, 12, 59 ], [ 52, 13, 56 ], [ 52, 14, 48 ], [ 52, 15, 49 ], [ 52, 16, 19 ], [ 52, 17, 10 ], [ 52, 18, 58 ], [ 52, 19, 47 ], [ 52, 20, 17 ], [ 52, 21, 54 ], [ 52, 22, 12 ], [ 52, 23, 34 ], [ 52, 24, 51 ], [ 52, 25, 56 ], [ 52, 26, 48 ], [ 52, 27, 53 ], [ 52, 28, 41 ], [ 52, 29, 27 ], [ 52, 30, 58 ], [ 52, 31, 28 ], [ 52, 32, 17 ], [ 52, 33, 54 ], [ 52, 34, 2 ], [ 52, 35, 34 ], [ 52, 36, 51 ], [ 52, 37, 59 ], [ 52, 38, 48 ], [ 52, 39, 53 ], [ 52, 40, 0 ], [ 52, 41, 27 ], [ 52, 42, 49 ], [ 52, 43, 40 ], [ 52, 44, 10 ], [ 52, 45, 54 ], [ 52, 46, 2 ], [ 52, 47, 12 ], [ 52, 48, 51 ], [ 52, 49, 59 ], [ 52, 50, 56 ], [ 52, 51, 53 ], [ 52, 52, 0 ], [ 52, 53, 41 ], [ 52, 54, 49 ], [ 52, 55, 40 ], [ 52, 56, 19 ], [ 52, 57, 58 ], [ 52, 58, 28 ], [ 52, 59, 47 ], [ 53, 0, 0 ], [ 53, 1, 41 ], [ 53, 2, 27 ], [ 53, 3, 25 ], [ 53, 4, 4 ], [ 53, 5, 23 ], [ 53, 6, 6 ], [ 53, 7, 21 ], [ 53, 8, 38 ], [ 53, 9, 44 ], [ 53, 10, 31 ], [ 53, 11, 22 ], [ 53, 12, 54 ], [ 53, 13, 49 ], [ 53, 14, 58 ], [ 53, 15, 25 ], [ 53, 16, 23 ], [ 53, 17, 4 ], [ 53, 18, 6 ], [ 53, 19, 38 ], [ 53, 20, 21 ], [ 53, 21, 44 ], [ 53, 22, 22 ], [ 53, 23, 31 ], [ 53, 24, 54 ], [ 53, 25, 58 ], [ 53, 26, 49 ], [ 53, 27, 0 ], [ 53, 28, 27 ], [ 53, 29, 41 ], [ 53, 30, 21 ], [ 53, 31, 38 ], [ 53, 32, 6 ], [ 53, 33, 31 ], [ 53, 34, 22 ], [ 53, 35, 44 ], [ 53, 36, 49 ], [ 53, 37, 58 ], [ 53, 38, 54 ], [ 53, 39, 41 ], [ 53, 40, 27 ], [ 53, 41, 0 ], [ 53, 42, 4 ], [ 53, 43, 23 ], [ 53, 44, 25 ], [ 53, 45, 22 ], [ 53, 46, 31 ], [ 53, 47, 44 ], [ 53, 48, 58 ], [ 53, 49, 49 ], [ 53, 50, 54 ], [ 53, 51, 27 ], [ 53, 52, 41 ], [ 53, 53, 0 ], [ 53, 54, 23 ], [ 53, 55, 4 ], [ 53, 56, 25 ], [ 53, 57, 38 ], [ 53, 58, 21 ], [ 53, 59, 6 ], [ 54, 0, 0 ], [ 54, 1, 20 ], [ 54, 2, 36 ], [ 54, 3, 25 ], [ 54, 4, 19 ], [ 54, 5, 46 ], [ 54, 6, 28 ], [ 54, 7, 9 ], [ 54, 8, 38 ], [ 54, 9, 32 ], [ 54, 10, 1 ], [ 54, 11, 22 ], [ 54, 12, 38 ], [ 54, 13, 1 ], [ 54, 14, 19 ], [ 54, 15, 9 ], [ 54, 16, 28 ], [ 54, 17, 20 ], [ 54, 18, 22 ], [ 54, 19, 36 ], [ 54, 20, 32 ], [ 54, 21, 46 ], [ 54, 22, 25 ], [ 54, 23, 0 ], [ 54, 24, 22 ], [ 54, 25, 36 ], [ 54, 26, 28 ], [ 54, 27, 32 ], [ 54, 28, 46 ], [ 54, 29, 1 ], [ 54, 30, 20 ], [ 54, 31, 0 ], [ 54, 32, 25 ], [ 54, 33, 38 ], [ 54, 34, 19 ], [ 54, 35, 9 ], [ 54, 36, 46 ], [ 54, 37, 32 ], [ 54, 38, 0 ], [ 54, 39, 25 ], [ 54, 40, 19 ], [ 54, 41, 9 ], [ 54, 42, 1 ], [ 54, 43, 38 ], [ 54, 44, 22 ], [ 54, 45, 36 ], [ 54, 46, 20 ], [ 54, 47, 28 ], [ 54, 48, 9 ], [ 54, 49, 20 ], [ 54, 50, 25 ], [ 54, 51, 28 ], [ 54, 52, 22 ], [ 54, 53, 38 ], [ 54, 54, 0 ], [ 54, 55, 36 ], [ 54, 56, 32 ], [ 54, 57, 19 ], [ 54, 58, 1 ], [ 54, 59, 46 ], [ 55, 0, 0 ], [ 55, 1, 20 ], [ 55, 2, 36 ], [ 55, 3, 40 ], [ 55, 4, 4 ], [ 55, 5, 33 ], [ 55, 6, 6 ], [ 55, 7, 35 ], [ 55, 8, 17 ], [ 55, 9, 14 ], [ 55, 10, 42 ], [ 55, 11, 34 ], [ 55, 12, 20 ], [ 55, 13, 36 ], [ 55, 14, 0 ], [ 55, 15, 14 ], [ 55, 16, 35 ], [ 55, 17, 57 ], [ 55, 18, 40 ], [ 55, 19, 50 ], [ 55, 20, 34 ], [ 55, 21, 6 ], [ 55, 22, 33 ], [ 55, 23, 52 ], [ 55, 24, 33 ], [ 55, 25, 40 ], [ 55, 26, 4 ], [ 55, 27, 35 ], [ 55, 28, 57 ], [ 55, 29, 14 ], [ 55, 30, 42 ], [ 55, 31, 20 ], [ 55, 32, 52 ], [ 55, 33, 0 ], [ 55, 34, 50 ], [ 55, 35, 17 ], [ 55, 36, 35 ], [ 55, 37, 17 ], [ 55, 38, 6 ], [ 55, 39, 34 ], [ 55, 40, 40 ], [ 55, 41, 50 ], [ 55, 42, 20 ], [ 55, 43, 52 ], [ 55, 44, 42 ], [ 55, 45, 4 ], [ 55, 46, 36 ], [ 55, 47, 57 ], [ 55, 48, 34 ], [ 55, 49, 14 ], [ 55, 50, 42 ], [ 55, 51, 33 ], [ 55, 52, 52 ], [ 55, 53, 6 ], [ 55, 54, 17 ], [ 55, 55, 0 ], [ 55, 56, 50 ], [ 55, 57, 36 ], [ 55, 58, 57 ], [ 55, 59, 4 ], [ 56, 0, 0 ], [ 56, 1, 20 ], [ 56, 2, 36 ], [ 56, 3, 18 ], [ 56, 4, 24 ], [ 56, 5, 10 ], [ 56, 6, 37 ], [ 56, 7, 21 ], [ 56, 8, 29 ], [ 56, 9, 2 ], [ 56, 10, 31 ], [ 56, 11, 45 ], [ 56, 12, 2 ], [ 56, 13, 18 ], [ 56, 14, 37 ], [ 56, 15, 36 ], [ 56, 16, 29 ], [ 56, 17, 21 ], [ 56, 18, 0 ], [ 56, 19, 45 ], [ 56, 20, 31 ], [ 56, 21, 20 ], [ 56, 22, 24 ], [ 56, 23, 10 ], [ 56, 24, 21 ], [ 56, 25, 31 ], [ 56, 26, 0 ], [ 56, 27, 24 ], [ 56, 28, 2 ], [ 56, 29, 45 ], [ 56, 30, 10 ], [ 56, 31, 36 ], [ 56, 32, 20 ], [ 56, 33, 18 ], [ 56, 34, 29 ], [ 56, 35, 37 ], [ 56, 36, 45 ], [ 56, 37, 20 ], [ 56, 38, 24 ], [ 56, 39, 29 ], [ 56, 40, 10 ], [ 56, 41, 18 ], [ 56, 42, 37 ], [ 56, 43, 31 ], [ 56, 44, 2 ], [ 56, 45, 21 ], [ 56, 46, 0 ], [ 56, 47, 36 ], [ 56, 48, 10 ], [ 56, 49, 29 ], [ 56, 50, 36 ], [ 56, 51, 31 ], [ 56, 52, 37 ], [ 56, 53, 21 ], [ 56, 54, 45 ], [ 56, 55, 20 ], [ 56, 56, 0 ], [ 56, 57, 2 ], [ 56, 58, 24 ], [ 56, 59, 18 ], [ 57, 0, 0 ], [ 57, 1, 26 ], [ 57, 2, 16 ], [ 57, 3, 40 ], [ 57, 4, 24 ], [ 57, 5, 23 ], [ 57, 6, 37 ], [ 57, 7, 9 ], [ 57, 8, 17 ], [ 57, 9, 44 ], [ 57, 10, 1 ], [ 57, 11, 34 ], [ 57, 12, 24 ], [ 57, 13, 17 ], [ 57, 14, 1 ], [ 57, 15, 34 ], [ 57, 16, 44 ], [ 57, 17, 0 ], [ 57, 18, 23 ], [ 57, 19, 26 ], [ 57, 20, 40 ], [ 57, 21, 9 ], [ 57, 22, 37 ], [ 57, 23, 16 ], [ 57, 24, 16 ], [ 57, 25, 37 ], [ 57, 26, 34 ], [ 57, 27, 17 ], [ 57, 28, 40 ], [ 57, 29, 9 ], [ 57, 30, 44 ], [ 57, 31, 1 ], [ 57, 32, 24 ], [ 57, 33, 26 ], [ 57, 34, 23 ], [ 57, 35, 0 ], [ 57, 36, 0 ], [ 57, 37, 23 ], [ 57, 38, 44 ], [ 57, 39, 1 ], [ 57, 40, 34 ], [ 57, 41, 37 ], [ 57, 42, 16 ], [ 57, 43, 9 ], [ 57, 44, 26 ], [ 57, 45, 40 ], [ 57, 46, 24 ], [ 57, 47, 17 ], [ 57, 48, 26 ], [ 57, 49, 40 ], [ 57, 50, 9 ], [ 57, 51, 24 ], [ 57, 52, 44 ], [ 57, 53, 23 ], [ 57, 54, 37 ], [ 57, 55, 17 ], [ 57, 56, 1 ], [ 57, 57, 0 ], [ 57, 58, 34 ], [ 57, 59, 16 ], [ 58, 0, 0 ], [ 58, 1, 26 ], [ 58, 2, 16 ], [ 58, 3, 25 ], [ 58, 4, 39 ], [ 58, 5, 10 ], [ 58, 6, 15 ], [ 58, 7, 35 ], [ 58, 8, 38 ], [ 58, 9, 2 ], [ 58, 10, 42 ], [ 58, 11, 22 ], [ 58, 12, 15 ], [ 58, 13, 2 ], [ 58, 14, 25 ], [ 58, 15, 26 ], [ 58, 16, 42 ], [ 58, 17, 22 ], [ 58, 18, 16 ], [ 58, 19, 10 ], [ 58, 20, 39 ], [ 58, 21, 0 ], [ 58, 22, 38 ], [ 58, 23, 35 ], [ 58, 24, 42 ], [ 58, 25, 0 ], [ 58, 26, 35 ], [ 58, 27, 10 ], [ 58, 28, 38 ], [ 58, 29, 15 ], [ 58, 30, 25 ], [ 58, 31, 22 ], [ 58, 32, 2 ], [ 58, 33, 39 ], [ 58, 34, 26 ], [ 58, 35, 16 ], [ 58, 36, 39 ], [ 58, 37, 22 ], [ 58, 38, 26 ], [ 58, 39, 35 ], [ 58, 40, 2 ], [ 58, 41, 42 ], [ 58, 42, 38 ], [ 58, 43, 16 ], [ 58, 44, 0 ], [ 58, 45, 15 ], [ 58, 46, 10 ], [ 58, 47, 25 ], [ 58, 48, 38 ], [ 58, 49, 16 ], [ 58, 50, 10 ], [ 58, 51, 22 ], [ 58, 52, 39 ], [ 58, 53, 25 ], [ 58, 54, 2 ], [ 58, 55, 35 ], [ 58, 56, 15 ], [ 58, 57, 42 ], [ 58, 58, 0 ], [ 58, 59, 26 ], [ 59, 0, 0 ], [ 59, 1, 26 ], [ 59, 2, 16 ], [ 59, 3, 18 ], [ 59, 4, 4 ], [ 59, 5, 46 ], [ 59, 6, 6 ], [ 59, 7, 47 ], [ 59, 8, 29 ], [ 59, 9, 32 ], [ 59, 10, 12 ], [ 59, 11, 45 ], [ 59, 12, 0 ], [ 59, 13, 26 ], [ 59, 14, 16 ], [ 59, 15, 48 ], [ 59, 16, 45 ], [ 59, 17, 29 ], [ 59, 18, 56 ], [ 59, 19, 12 ], [ 59, 20, 46 ], [ 59, 21, 51 ], [ 59, 22, 47 ], [ 59, 23, 4 ], [ 59, 24, 18 ], [ 59, 25, 4 ], [ 59, 26, 46 ], [ 59, 27, 48 ], [ 59, 28, 45 ], [ 59, 29, 29 ], [ 59, 30, 51 ], [ 59, 31, 32 ], [ 59, 32, 16 ], [ 59, 33, 56 ], [ 59, 34, 6 ], [ 59, 35, 26 ], [ 59, 36, 6 ], [ 59, 37, 47 ], [ 59, 38, 29 ], [ 59, 39, 56 ], [ 59, 40, 12 ], [ 59, 41, 46 ], [ 59, 42, 51 ], [ 59, 43, 32 ], [ 59, 44, 16 ], [ 59, 45, 48 ], [ 59, 46, 18 ], [ 59, 47, 0 ], [ 59, 48, 32 ], [ 59, 49, 12 ], [ 59, 50, 45 ], [ 59, 51, 51 ], [ 59, 52, 47 ], [ 59, 53, 4 ], [ 59, 54, 56 ], [ 59, 55, 6 ], [ 59, 56, 26 ], [ 59, 57, 48 ], [ 59, 58, 18 ], [ 59, 59, 0 ] ], "generators": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "next": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 ], "words": { "0": [], "1": [ 1 ], "2": [ 2 ], "3": [ 3 ], "4": [ 4 ], "5": [ 5 ], "6": [ 6 ], "7": [ 7 ], "8": [ 8 ], "9": [ 9 ], "10": [ 10 ], "11": [ 11 ], "12": [ 12 ], "13": [ 13 ], "14": [ 14 ], "15": [ 15 ], "16": [ 16 ], "17": [ 17 ], "18": [ 18 ], "19": [ 19 ], "20": [ 20 ], "21": [ 21 ], "22": [ 22 ], "23": [ 23 ], "24": [ 24 ], "25": [ 25 ], "26": [ 26 ], "27": [ 27 ], "28": [ 28 ], "29": [ 29 ], "30": [ 30 ], "31": [ 31 ], "32": [ 32 ], "33": [ 33 ], "34": [ 34 ], "35": [ 35 ], "36": [ 36 ], "37": [ 37 ], "38": [ 38 ], "39": [ 39 ], "40": [ 40 ], "41": [ 41 ], "42": [ 42 ], "43": [ 43 ], "44": [ 44 ], "45": [ 45 ], "46": [ 46 ], "47": [ 47 ], "48": [ 48 ], "49": [ 49 ], "50": [ 50 ], "51": [ 51 ], "52": [ 52 ], "53": [ 53 ], "54": [ 54 ], "55": [ 55 ], "56": [ 56 ], "57": [ 57 ], "58": [ 58 ], "59": [ 59 ] } } ], "solvable": false, "affine": false }, { "id": "S5", "order": 120, "permutations": [ [ 0, 1, 2, 3, 4 ], [ 0, 1, 2, 4, 3 ], [ 0, 1, 3, 2, 4 ], [ 0, 1, 3, 4, 2 ], [ 0, 1, 4, 2, 3 ], [ 0, 1, 4, 3, 2 ], [ 0, 2, 1, 3, 4 ], [ 0, 2, 1, 4, 3 ], [ 0, 2, 3, 1, 4 ], [ 0, 2, 3, 4, 1 ], [ 0, 2, 4, 1, 3 ], [ 0, 2, 4, 3, 1 ], [ 0, 3, 1, 2, 4 ], [ 0, 3, 1, 4, 2 ], [ 0, 3, 2, 1, 4 ], [ 0, 3, 2, 4, 1 ], [ 0, 3, 4, 1, 2 ], [ 0, 3, 4, 2, 1 ], [ 0, 4, 1, 2, 3 ], [ 0, 4, 1, 3, 2 ], [ 0, 4, 2, 1, 3 ], [ 0, 4, 2, 3, 1 ], [ 0, 4, 3, 1, 2 ], [ 0, 4, 3, 2, 1 ], [ 1, 0, 2, 3, 4 ], [ 1, 0, 2, 4, 3 ], [ 1, 0, 3, 2, 4 ], [ 1, 0, 3, 4, 2 ], [ 1, 0, 4, 2, 3 ], [ 1, 0, 4, 3, 2 ], [ 1, 2, 0, 3, 4 ], [ 1, 2, 0, 4, 3 ], [ 1, 2, 3, 0, 4 ], [ 1, 2, 3, 4, 0 ], [ 1, 2, 4, 0, 3 ], [ 1, 2, 4, 3, 0 ], [ 1, 3, 0, 2, 4 ], [ 1, 3, 0, 4, 2 ], [ 1, 3, 2, 0, 4 ], [ 1, 3, 2, 4, 0 ], [ 1, 3, 4, 0, 2 ], [ 1, 3, 4, 2, 0 ], [ 1, 4, 0, 2, 3 ], [ 1, 4, 0, 3, 2 ], [ 1, 4, 2, 0, 3 ], [ 1, 4, 2, 3, 0 ], [ 1, 4, 3, 0, 2 ], [ 1, 4, 3, 2, 0 ], [ 2, 0, 1, 3, 4 ], [ 2, 0, 1, 4, 3 ], [ 2, 0, 3, 1, 4 ], [ 2, 0, 3, 4, 1 ], [ 2, 0, 4, 1, 3 ], [ 2, 0, 4, 3, 1 ], [ 2, 1, 0, 3, 4 ], [ 2, 1, 0, 4, 3 ], [ 2, 1, 3, 0, 4 ], [ 2, 1, 3, 4, 0 ], [ 2, 1, 4, 0, 3 ], [ 2, 1, 4, 3, 0 ], [ 2, 3, 0, 1, 4 ], [ 2, 3, 0, 4, 1 ], [ 2, 3, 1, 0, 4 ], [ 2, 3, 1, 4, 0 ], [ 2, 3, 4, 0, 1 ], [ 2, 3, 4, 1, 0 ], [ 2, 4, 0, 1, 3 ], [ 2, 4, 0, 3, 1 ], [ 2, 4, 1, 0, 3 ], [ 2, 4, 1, 3, 0 ], [ 2, 4, 3, 0, 1 ], [ 2, 4, 3, 1, 0 ], [ 3, 0, 1, 2, 4 ], [ 3, 0, 1, 4, 2 ], [ 3, 0, 2, 1, 4 ], [ 3, 0, 2, 4, 1 ], [ 3, 0, 4, 1, 2 ], [ 3, 0, 4, 2, 1 ], [ 3, 1, 0, 2, 4 ], [ 3, 1, 0, 4, 2 ], [ 3, 1, 2, 0, 4 ], [ 3, 1, 2, 4, 0 ], [ 3, 1, 4, 0, 2 ], [ 3, 1, 4, 2, 0 ], [ 3, 2, 0, 1, 4 ], [ 3, 2, 0, 4, 1 ], [ 3, 2, 1, 0, 4 ], [ 3, 2, 1, 4, 0 ], [ 3, 2, 4, 0, 1 ], [ 3, 2, 4, 1, 0 ], [ 3, 4, 0, 1, 2 ], [ 3, 4, 0, 2, 1 ], [ 3, 4, 1, 0, 2 ], [ 3, 4, 1, 2, 0 ], [ 3, 4, 2, 0, 1 ], [ 3, 4, 2, 1, 0 ], [ 4, 0, 1, 2, 3 ], [ 4, 0, 1, 3, 2 ], [ 4, 0, 2, 1, 3 ], [ 4, 0, 2, 3, 1 ], [ 4, 0, 3, 1, 2 ], [ 4, 0, 3, 2, 1 ], [ 4, 1, 0, 2, 3 ], [ 4, 1, 0, 3, 2 ], [ 4, 1, 2, 0, 3 ], [ 4, 1, 2, 3, 0 ], [ 4, 1, 3, 0, 2 ], [ 4, 1, 3, 2, 0 ], [ 4, 2, 0, 1, 3 ], [ 4, 2, 0, 3, 1 ], [ 4, 2, 1, 0, 3 ], [ 4, 2, 1, 3, 0 ], [ 4, 2, 3, 0, 1 ], [ 4, 2, 3, 1, 0 ], [ 4, 3, 0, 1, 2 ], [ 4, 3, 0, 2, 1 ], [ 4, 3, 1, 0, 2 ], [ 4, 3, 1, 2, 0 ], [ 4, 3, 2, 0, 1 ], [ 4, 3, 2, 1, 0 ] ], "labels": [ "()", "(4 5)", "(3 4)", "(3 4 5)", "(3 5 4)", "(3 5)", "(2 3)", "(2 3)(4 5)", "(2 3 4)", "(2 3 4 5)", "(2 3 5 4)", "(2 3 5)", "(2 4 3)", "(2 4 5 3)", "(2 4)", "(2 4 5)", "(2 4)(3 5)", "(2 4 3 5)", "(2 5 4 3)", "(2 5 3)", "(2 5 4)", "(2 5)", "(2 5 3 4)", "(2 5)(3 4)", "(1 2)", "(1 2)(4 5)", "(1 2)(3 4)", "(1 2)(3 4 5)", "(1 2)(3 5 4)", "(1 2)(3 5)", "(1 2 3)", "(1 2 3)(4 5)", "(1 2 3 4)", "(1 2 3 4 5)", "(1 2 3 5 4)", "(1 2 3 5)", "(1 2 4 3)", "(1 2 4 5 3)", "(1 2 4)", "(1 2 4 5)", "(1 2 4)(3 5)", "(1 2 4 3 5)", "(1 2 5 4 3)", "(1 2 5 3)", "(1 2 5 4)", "(1 2 5)", "(1 2 5 3 4)", "(1 2 5)(3 4)", "(1 3 2)", "(1 3 2)(4 5)", "(1 3 4 2)", "(1 3 4 5 2)", "(1 3 5 4 2)", "(1 3 5 2)", "(1 3)", "(1 3)(4 5)", "(1 3 4)", "(1 3 4 5)", "(1 3 5 4)", "(1 3 5)", "(1 3)(2 4)", "(1 3)(2 4 5)", "(1 3 2 4)", "(1 3 2 4 5)", "(1 3 5 2 4)", "(1 3 5)(2 4)", "(1 3)(2 5 4)", "(1 3)(2 5)", "(1 3 2 5 4)", "(1 3 2 5)", "(1 3 4)(2 5)", "(1 3 4 2 5)", "(1 4 3 2)", "(1 4 5 3 2)", "(1 4 2)", "(1 4 5 2)", "(1 4 2)(3 5)", "(1 4 3 5 2)", "(1 4 3)", "(1 4 5 3)", "(1 4)", "(1 4 5)", "(1 4)(3 5)", "(1 4 3 5)", "(1 4 2 3)", "(1 4 5 2 3)", "(1 4)(2 3)", "(1 4 5)(2 3)", "(1 4)(2 3 5)", "(1 4 2 3 5)", "(1 4 2 5 3)", "(1 4 3)(2 5)", "(1 4)(2 5 3)", "(1 4 3 2 5)", "(1 4)(2 5)", "(1 4 2 5)", "(1 5 4 3 2)", "(1 5 3 2)", "(1 5 4 2)", "(1 5 2)", "(1 5 3 4 2)", "(1 5 2)(3 4)", "(1 5 4 3)", "(1 5 3)", "(1 5 4)", "(1 5)", "(1 5 3 4)", "(1 5)(3 4)", "(1 5 4 2 3)", "(1 5 2 3)", "(1 5 4)(2 3)", "(1 5)(2 3)", "(1 5 2 3 4)", "(1 5)(2 3 4)", "(1 5 3)(2 4)", "(1 5 2 4 3)", "(1 5 3 2 4)", "(1 5)(2 4 3)", "(1 5 2 4)", "(1 5)(2 4)" ], "multiplication": [ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], [ 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 ], [ 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113 ], [ 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71 ], [ 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89 ], [ 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65 ], [ 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117 ], [ 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93 ], [ 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107 ], [ 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 ], [ 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83 ], [ 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41 ], [ 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111 ], [ 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69 ], [ 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105 ], [ 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45 ], [ 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59 ], [ 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35 ], [ 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87 ], [ 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63 ], [ 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81 ], [ 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39 ], [ 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57 ], [ 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33 ], [ 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118 ], [ 25, 24, 28, 29, 26, 27, 31, 30, 34, 35, 32, 33, 42, 43, 44, 45, 46, 47, 36, 37, 38, 39, 40, 41, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94 ], [ 26, 27, 24, 25, 29, 28, 36, 37, 38, 39, 40, 41, 30, 31, 32, 33, 34, 35, 43, 42, 46, 47, 44, 45, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112 ], [ 27, 26, 29, 28, 24, 25, 37, 36, 40, 41, 38, 39, 43, 42, 46, 47, 44, 45, 30, 31, 32, 33, 34, 35, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70 ], [ 28, 29, 25, 24, 27, 26, 42, 43, 44, 45, 46, 47, 31, 30, 34, 35, 32, 33, 37, 36, 40, 41, 38, 39, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88 ], [ 29, 28, 27, 26, 25, 24, 43, 42, 46, 47, 44, 45, 37, 36, 40, 41, 38, 39, 31, 30, 34, 35, 32, 33, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64 ], [ 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115 ], [ 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91 ], [ 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101 ], [ 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 ], [ 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77 ], [ 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 1, 0, 4, 5, 2, 3, 7, 6, 10, 11, 8, 9, 18, 19, 20, 21, 22, 23, 12, 13, 14, 15, 16, 17 ], [ 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109 ], [ 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67 ], [ 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99 ], [ 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 2, 3, 0, 1, 5, 4, 12, 13, 14, 15, 16, 17, 6, 7, 8, 9, 10, 11, 19, 18, 22, 23, 20, 21 ], [ 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53 ], [ 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 3, 2, 5, 4, 0, 1, 13, 12, 16, 17, 14, 15, 19, 18, 22, 23, 20, 21, 6, 7, 8, 9, 10, 11 ], [ 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85 ], [ 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61 ], [ 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75 ], [ 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 4, 5, 1, 0, 3, 2, 18, 19, 20, 21, 22, 23, 7, 6, 10, 11, 8, 9, 13, 12, 16, 17, 14, 15 ], [ 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51 ], [ 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 5, 4, 3, 2, 1, 0, 19, 18, 22, 23, 20, 21, 13, 12, 16, 17, 14, 15, 7, 6, 10, 11, 8, 9 ], [ 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116 ], [ 49, 48, 52, 53, 50, 51, 55, 54, 58, 59, 56, 57, 66, 67, 68, 69, 70, 71, 60, 61, 62, 63, 64, 65, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92 ], [ 50, 51, 48, 49, 53, 52, 60, 61, 62, 63, 64, 65, 54, 55, 56, 57, 58, 59, 67, 66, 70, 71, 68, 69, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106 ], [ 51, 50, 53, 52, 48, 49, 61, 60, 64, 65, 62, 63, 67, 66, 70, 71, 68, 69, 54, 55, 56, 57, 58, 59, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46 ], [ 52, 53, 49, 48, 51, 50, 66, 67, 68, 69, 70, 71, 55, 54, 58, 59, 56, 57, 61, 60, 64, 65, 62, 63, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82 ], [ 53, 52, 51, 50, 49, 48, 67, 66, 70, 71, 68, 69, 61, 60, 64, 65, 62, 63, 55, 54, 58, 59, 56, 57, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40 ], [ 54, 55, 56, 57, 58, 59, 48, 49, 50, 51, 52, 53, 62, 63, 60, 61, 65, 64, 68, 69, 66, 67, 71, 70, 30, 31, 32, 33, 34, 35, 24, 25, 26, 27, 28, 29, 38, 39, 36, 37, 41, 40, 44, 45, 42, 43, 47, 46, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114 ], [ 55, 54, 58, 59, 56, 57, 49, 48, 52, 53, 50, 51, 68, 69, 66, 67, 71, 70, 62, 63, 60, 61, 65, 64, 31, 30, 34, 35, 32, 33, 25, 24, 28, 29, 26, 27, 44, 45, 42, 43, 47, 46, 38, 39, 36, 37, 41, 40, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90 ], [ 56, 57, 54, 55, 59, 58, 62, 63, 60, 61, 65, 64, 48, 49, 50, 51, 52, 53, 69, 68, 71, 70, 66, 67, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100 ], [ 57, 56, 59, 58, 54, 55, 63, 62, 65, 64, 60, 61, 69, 68, 71, 70, 66, 67, 48, 49, 50, 51, 52, 53, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 14, 15, 12, 13, 17, 16, 20, 21, 18, 19, 23, 22 ], [ 58, 59, 55, 54, 57, 56, 68, 69, 66, 67, 71, 70, 49, 48, 52, 53, 50, 51, 63, 62, 65, 64, 60, 61, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76 ], [ 59, 58, 57, 56, 55, 54, 69, 68, 71, 70, 66, 67, 63, 62, 65, 64, 60, 61, 49, 48, 52, 53, 50, 51, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 7, 6, 10, 11, 8, 9, 1, 0, 4, 5, 2, 3, 20, 21, 18, 19, 23, 22, 14, 15, 12, 13, 17, 16 ], [ 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103 ], [ 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43 ], [ 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 32, 33, 30, 31, 35, 34, 38, 39, 36, 37, 41, 40, 24, 25, 26, 27, 28, 29, 45, 44, 47, 46, 42, 43, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97 ], [ 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 8, 9, 6, 7, 11, 10, 14, 15, 12, 13, 17, 16, 0, 1, 2, 3, 4, 5, 21, 20, 23, 22, 18, 19 ], [ 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29 ], [ 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 33, 32, 35, 34, 30, 31, 39, 38, 41, 40, 36, 37, 45, 44, 47, 46, 42, 43, 24, 25, 26, 27, 28, 29, 9, 8, 11, 10, 6, 7, 15, 14, 17, 16, 12, 13, 21, 20, 23, 22, 18, 19, 0, 1, 2, 3, 4, 5 ], [ 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79 ], [ 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37 ], [ 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 34, 35, 31, 30, 33, 32, 44, 45, 42, 43, 47, 46, 25, 24, 28, 29, 26, 27, 39, 38, 41, 40, 36, 37, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73 ], [ 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 10, 11, 7, 6, 9, 8, 20, 21, 18, 19, 23, 22, 1, 0, 4, 5, 2, 3, 15, 14, 17, 16, 12, 13 ], [ 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27 ], [ 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 35, 34, 33, 32, 31, 30, 45, 44, 47, 46, 42, 43, 39, 38, 41, 40, 36, 37, 25, 24, 28, 29, 26, 27, 11, 10, 9, 8, 7, 6, 21, 20, 23, 22, 18, 19, 15, 14, 17, 16, 12, 13, 1, 0, 4, 5, 2, 3 ], [ 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110 ], [ 73, 72, 76, 77, 74, 75, 79, 78, 82, 83, 80, 81, 90, 91, 92, 93, 94, 95, 84, 85, 86, 87, 88, 89, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68 ], [ 74, 75, 72, 73, 77, 76, 84, 85, 86, 87, 88, 89, 78, 79, 80, 81, 82, 83, 91, 90, 94, 95, 92, 93, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104 ], [ 75, 74, 77, 76, 72, 73, 85, 84, 88, 89, 86, 87, 91, 90, 94, 95, 92, 93, 78, 79, 80, 81, 82, 83, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44 ], [ 76, 77, 73, 72, 75, 74, 90, 91, 92, 93, 94, 95, 79, 78, 82, 83, 80, 81, 85, 84, 88, 89, 86, 87, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58 ], [ 77, 76, 75, 74, 73, 72, 91, 90, 94, 95, 92, 93, 85, 84, 88, 89, 86, 87, 79, 78, 82, 83, 80, 81, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34 ], [ 78, 79, 80, 81, 82, 83, 72, 73, 74, 75, 76, 77, 86, 87, 84, 85, 89, 88, 92, 93, 90, 91, 95, 94, 36, 37, 38, 39, 40, 41, 26, 27, 24, 25, 29, 28, 32, 33, 30, 31, 35, 34, 46, 47, 43, 42, 45, 44, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108 ], [ 79, 78, 82, 83, 80, 81, 73, 72, 76, 77, 74, 75, 92, 93, 90, 91, 95, 94, 86, 87, 84, 85, 89, 88, 37, 36, 40, 41, 38, 39, 27, 26, 29, 28, 24, 25, 46, 47, 43, 42, 45, 44, 32, 33, 30, 31, 35, 34, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66 ], [ 80, 81, 78, 79, 83, 82, 86, 87, 84, 85, 89, 88, 72, 73, 74, 75, 76, 77, 93, 92, 95, 94, 90, 91, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98 ], [ 81, 80, 83, 82, 78, 79, 87, 86, 89, 88, 84, 85, 93, 92, 95, 94, 90, 91, 72, 73, 74, 75, 76, 77, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 12, 13, 14, 15, 16, 17, 2, 3, 0, 1, 5, 4, 8, 9, 6, 7, 11, 10, 22, 23, 19, 18, 21, 20 ], [ 82, 83, 79, 78, 81, 80, 92, 93, 90, 91, 95, 94, 73, 72, 76, 77, 74, 75, 87, 86, 89, 88, 84, 85, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52 ], [ 83, 82, 81, 80, 79, 78, 93, 92, 95, 94, 90, 91, 87, 86, 89, 88, 84, 85, 73, 72, 76, 77, 74, 75, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 13, 12, 16, 17, 14, 15, 3, 2, 5, 4, 0, 1, 22, 23, 19, 18, 21, 20, 8, 9, 6, 7, 11, 10 ], [ 84, 85, 86, 87, 88, 89, 74, 75, 72, 73, 77, 76, 80, 81, 78, 79, 83, 82, 94, 95, 91, 90, 93, 92, 60, 61, 62, 63, 64, 65, 50, 51, 48, 49, 53, 52, 56, 57, 54, 55, 59, 58, 70, 71, 67, 66, 69, 68, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102 ], [ 85, 84, 88, 89, 86, 87, 75, 74, 77, 76, 72, 73, 94, 95, 91, 90, 93, 92, 80, 81, 78, 79, 83, 82, 61, 60, 64, 65, 62, 63, 51, 50, 53, 52, 48, 49, 70, 71, 67, 66, 69, 68, 56, 57, 54, 55, 59, 58, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42 ], [ 86, 87, 84, 85, 89, 88, 80, 81, 78, 79, 83, 82, 74, 75, 72, 73, 77, 76, 95, 94, 93, 92, 91, 90, 62, 63, 60, 61, 65, 64, 56, 57, 54, 55, 59, 58, 50, 51, 48, 49, 53, 52, 71, 70, 69, 68, 67, 66, 38, 39, 36, 37, 41, 40, 32, 33, 30, 31, 35, 34, 26, 27, 24, 25, 29, 28, 47, 46, 45, 44, 43, 42, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96 ], [ 87, 86, 89, 88, 84, 85, 81, 80, 83, 82, 78, 79, 95, 94, 93, 92, 91, 90, 74, 75, 72, 73, 77, 76, 63, 62, 65, 64, 60, 61, 57, 56, 59, 58, 54, 55, 71, 70, 69, 68, 67, 66, 50, 51, 48, 49, 53, 52, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 14, 15, 12, 13, 17, 16, 8, 9, 6, 7, 11, 10, 2, 3, 0, 1, 5, 4, 23, 22, 21, 20, 19, 18 ], [ 88, 89, 85, 84, 87, 86, 94, 95, 91, 90, 93, 92, 75, 74, 77, 76, 72, 73, 81, 80, 83, 82, 78, 79, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28 ], [ 89, 88, 87, 86, 85, 84, 95, 94, 93, 92, 91, 90, 81, 80, 83, 82, 78, 79, 75, 74, 77, 76, 72, 73, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 39, 38, 41, 40, 36, 37, 33, 32, 35, 34, 30, 31, 47, 46, 45, 44, 43, 42, 26, 27, 24, 25, 29, 28, 15, 14, 17, 16, 12, 13, 9, 8, 11, 10, 6, 7, 23, 22, 21, 20, 19, 18, 2, 3, 0, 1, 5, 4 ], [ 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55 ], [ 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31 ], [ 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 40, 41, 37, 36, 39, 38, 46, 47, 43, 42, 45, 44, 27, 26, 29, 28, 24, 25, 33, 32, 35, 34, 30, 31, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49 ], [ 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 16, 17, 13, 12, 15, 14, 22, 23, 19, 18, 21, 20, 3, 2, 5, 4, 0, 1, 9, 8, 11, 10, 6, 7 ], [ 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 64, 65, 61, 60, 63, 62, 70, 71, 67, 66, 69, 68, 51, 50, 53, 52, 48, 49, 57, 56, 59, 58, 54, 55, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25 ], [ 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 65, 64, 63, 62, 61, 60, 71, 70, 69, 68, 67, 66, 57, 56, 59, 58, 54, 55, 51, 50, 53, 52, 48, 49, 41, 40, 39, 38, 37, 36, 47, 46, 45, 44, 43, 42, 33, 32, 35, 34, 30, 31, 27, 26, 29, 28, 24, 25, 17, 16, 15, 14, 13, 12, 23, 22, 21, 20, 19, 18, 9, 8, 11, 10, 6, 7, 3, 2, 5, 4, 0, 1 ], [ 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86 ], [ 97, 96, 100, 101, 98, 99, 103, 102, 106, 107, 104, 105, 114, 115, 116, 117, 118, 119, 108, 109, 110, 111, 112, 113, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62 ], [ 98, 99, 96, 97, 101, 100, 108, 109, 110, 111, 112, 113, 102, 103, 104, 105, 106, 107, 115, 114, 118, 119, 116, 117, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80 ], [ 99, 98, 101, 100, 96, 97, 109, 108, 112, 113, 110, 111, 115, 114, 118, 119, 116, 117, 102, 103, 104, 105, 106, 107, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38 ], [ 100, 101, 97, 96, 99, 98, 114, 115, 116, 117, 118, 119, 103, 102, 106, 107, 104, 105, 109, 108, 112, 113, 110, 111, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56 ], [ 101, 100, 99, 98, 97, 96, 115, 114, 118, 119, 116, 117, 109, 108, 112, 113, 110, 111, 103, 102, 106, 107, 104, 105, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32 ], [ 102, 103, 104, 105, 106, 107, 96, 97, 98, 99, 100, 101, 110, 111, 108, 109, 113, 112, 116, 117, 114, 115, 119, 118, 42, 43, 44, 45, 46, 47, 28, 29, 25, 24, 27, 26, 34, 35, 31, 30, 33, 32, 40, 41, 37, 36, 39, 38, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84 ], [ 103, 102, 106, 107, 104, 105, 97, 96, 100, 101, 98, 99, 116, 117, 114, 115, 119, 118, 110, 111, 108, 109, 113, 112, 43, 42, 46, 47, 44, 45, 29, 28, 27, 26, 25, 24, 40, 41, 37, 36, 39, 38, 34, 35, 31, 30, 33, 32, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60 ], [ 104, 105, 102, 103, 107, 106, 110, 111, 108, 109, 113, 112, 96, 97, 98, 99, 100, 101, 117, 116, 119, 118, 114, 115, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74 ], [ 105, 104, 107, 106, 102, 103, 111, 110, 113, 112, 108, 109, 117, 116, 119, 118, 114, 115, 96, 97, 98, 99, 100, 101, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 18, 19, 20, 21, 22, 23, 4, 5, 1, 0, 3, 2, 10, 11, 7, 6, 9, 8, 16, 17, 13, 12, 15, 14 ], [ 106, 107, 103, 102, 105, 104, 116, 117, 114, 115, 119, 118, 97, 96, 100, 101, 98, 99, 111, 110, 113, 112, 108, 109, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50 ], [ 107, 106, 105, 104, 103, 102, 117, 116, 119, 118, 114, 115, 111, 110, 113, 112, 108, 109, 97, 96, 100, 101, 98, 99, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 19, 18, 22, 23, 20, 21, 5, 4, 3, 2, 1, 0, 16, 17, 13, 12, 15, 14, 10, 11, 7, 6, 9, 8 ], [ 108, 109, 110, 111, 112, 113, 98, 99, 96, 97, 101, 100, 104, 105, 102, 103, 107, 106, 118, 119, 115, 114, 117, 116, 66, 67, 68, 69, 70, 71, 52, 53, 49, 48, 51, 50, 58, 59, 55, 54, 57, 56, 64, 65, 61, 60, 63, 62, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78 ], [ 109, 108, 112, 113, 110, 111, 99, 98, 101, 100, 96, 97, 118, 119, 115, 114, 117, 116, 104, 105, 102, 103, 107, 106, 67, 66, 70, 71, 68, 69, 53, 52, 51, 50, 49, 48, 64, 65, 61, 60, 63, 62, 58, 59, 55, 54, 57, 56, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36 ], [ 110, 111, 108, 109, 113, 112, 104, 105, 102, 103, 107, 106, 98, 99, 96, 97, 101, 100, 119, 118, 117, 116, 115, 114, 68, 69, 66, 67, 71, 70, 58, 59, 55, 54, 57, 56, 52, 53, 49, 48, 51, 50, 65, 64, 63, 62, 61, 60, 44, 45, 42, 43, 47, 46, 34, 35, 31, 30, 33, 32, 28, 29, 25, 24, 27, 26, 41, 40, 39, 38, 37, 36, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72 ], [ 111, 110, 113, 112, 108, 109, 105, 104, 107, 106, 102, 103, 119, 118, 117, 116, 115, 114, 98, 99, 96, 97, 101, 100, 69, 68, 71, 70, 66, 67, 59, 58, 57, 56, 55, 54, 65, 64, 63, 62, 61, 60, 52, 53, 49, 48, 51, 50, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 20, 21, 18, 19, 23, 22, 10, 11, 7, 6, 9, 8, 4, 5, 1, 0, 3, 2, 17, 16, 15, 14, 13, 12 ], [ 112, 113, 109, 108, 111, 110, 118, 119, 115, 114, 117, 116, 99, 98, 101, 100, 96, 97, 105, 104, 107, 106, 102, 103, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26 ], [ 113, 112, 111, 110, 109, 108, 119, 118, 117, 116, 115, 114, 105, 104, 107, 106, 102, 103, 99, 98, 101, 100, 96, 97, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 45, 44, 47, 46, 42, 43, 35, 34, 33, 32, 31, 30, 41, 40, 39, 38, 37, 36, 28, 29, 25, 24, 27, 26, 21, 20, 23, 22, 18, 19, 11, 10, 9, 8, 7, 6, 17, 16, 15, 14, 13, 12, 4, 5, 1, 0, 3, 2 ], [ 114, 115, 116, 117, 118, 119, 100, 101, 97, 96, 99, 98, 106, 107, 103, 102, 105, 104, 112, 113, 109, 108, 111, 110, 90, 91, 92, 93, 94, 95, 76, 77, 73, 72, 75, 74, 82, 83, 79, 78, 81, 80, 88, 89, 85, 84, 87, 86, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54 ], [ 115, 114, 118, 119, 116, 117, 101, 100, 99, 98, 97, 96, 112, 113, 109, 108, 111, 110, 106, 107, 103, 102, 105, 104, 91, 90, 94, 95, 92, 93, 77, 76, 75, 74, 73, 72, 88, 89, 85, 84, 87, 86, 82, 83, 79, 78, 81, 80, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30 ], [ 116, 117, 114, 115, 119, 118, 106, 107, 103, 102, 105, 104, 100, 101, 97, 96, 99, 98, 113, 112, 111, 110, 109, 108, 92, 93, 90, 91, 95, 94, 82, 83, 79, 78, 81, 80, 76, 77, 73, 72, 75, 74, 89, 88, 87, 86, 85, 84, 46, 47, 43, 42, 45, 44, 40, 41, 37, 36, 39, 38, 29, 28, 27, 26, 25, 24, 35, 34, 33, 32, 31, 30, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48 ], [ 117, 116, 119, 118, 114, 115, 107, 106, 105, 104, 103, 102, 113, 112, 111, 110, 109, 108, 100, 101, 97, 96, 99, 98, 93, 92, 95, 94, 90, 91, 83, 82, 81, 80, 79, 78, 89, 88, 87, 86, 85, 84, 76, 77, 73, 72, 75, 74, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 22, 23, 19, 18, 21, 20, 16, 17, 13, 12, 15, 14, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6 ], [ 118, 119, 115, 114, 117, 116, 112, 113, 109, 108, 111, 110, 101, 100, 99, 98, 97, 96, 107, 106, 105, 104, 103, 102, 94, 95, 91, 90, 93, 92, 88, 89, 85, 84, 87, 86, 77, 76, 75, 74, 73, 72, 83, 82, 81, 80, 79, 78, 70, 71, 67, 66, 69, 68, 64, 65, 61, 60, 63, 62, 53, 52, 51, 50, 49, 48, 59, 58, 57, 56, 55, 54, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24 ], [ 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 ] ], "inverses": [ 0, 1, 2, 4, 3, 5, 6, 7, 12, 18, 13, 19, 8, 10, 14, 20, 16, 22, 9, 11, 15, 21, 17, 23, 24, 25, 26, 28, 27, 29, 48, 49, 72, 96, 73, 97, 50, 52, 74, 98, 76, 100, 51, 53, 75, 99, 77, 101, 30, 31, 36, 42, 37, 43, 54, 55, 78, 102, 79, 103, 60, 66, 84, 108, 90, 114, 61, 67, 85, 109, 91, 115, 32, 34, 38, 44, 40, 46, 56, 58, 80, 104, 82, 106, 62, 68, 86, 110, 92, 116, 64, 70, 88, 112, 94, 118, 33, 35, 39, 45, 41, 47, 57, 59, 81, 105, 83, 107, 63, 69, 87, 111, 93, 117, 65, 71, 89, 113, 95, 119 ], "cycleTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,1,2", "1,1,3", "1,1,3", "1,1,1,2", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "1,1,1,2", "1,2,2", "1,2,2", "2,3", "2,3", "1,2,2", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,1,3", "2,3", "1,4", "5", "5", "1,4", "1,1,1,2", "1,2,2", "1,1,3", "1,4", "1,4", "1,1,3", "1,2,2", "2,3", "1,4", "5", "5", "2,3", "2,3", "1,2,2", "5", "1,4", "2,3", "5", "1,4", "5", "1,1,3", "1,4", "2,3", "5", "1,1,3", "1,4", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "1,4", "5", "1,2,2", "2,3", "2,3", "5", "5", "2,3", "2,3", "5", "1,2,2", "1,4", "5", "1,4", "1,4", "1,1,3", "5", "2,3", "1,4", "1,1,3", "1,1,3", "1,1,1,2", "1,4", "1,2,2", "5", "1,4", "2,3", "1,2,2", "5", "2,3", "2,3", "5", "5", "2,3", "1,4", "1,2,2" ], "availableTypes": [ "1,1,1,1,1", "1,1,1,2", "1,1,3", "1,2,2", "1,4", "2,3", "5" ], "even": false, "derived": [ { "elements": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 1, 0 ], [ 0, 2, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 5, 0 ], [ 0, 6, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 9, 0 ], [ 0, 10, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 13, 0 ], [ 0, 14, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 17, 0 ], [ 0, 18, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 21, 0 ], [ 0, 22, 0 ], [ 0, 23, 0 ], [ 0, 24, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 27, 0 ], [ 0, 28, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 31, 0 ], [ 0, 32, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 35, 0 ], [ 0, 36, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 39, 0 ], [ 0, 40, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 43, 0 ], [ 0, 44, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 47, 0 ], [ 0, 48, 0 ], [ 0, 49, 0 ], [ 0, 50, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 53, 0 ], [ 0, 54, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 57, 0 ], [ 0, 58, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 61, 0 ], [ 0, 62, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 65, 0 ], [ 0, 66, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 69, 0 ], [ 0, 70, 0 ], [ 0, 71, 0 ], [ 0, 72, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 75, 0 ], [ 0, 76, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 79, 0 ], [ 0, 80, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 83, 0 ], [ 0, 84, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 87, 0 ], [ 0, 88, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 91, 0 ], [ 0, 92, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 95, 0 ], [ 0, 96, 0 ], [ 0, 97, 0 ], [ 0, 98, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 101, 0 ], [ 0, 102, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 105, 0 ], [ 0, 106, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 109, 0 ], [ 0, 110, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 113, 0 ], [ 0, 114, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 117, 0 ], [ 0, 118, 0 ], [ 0, 119, 0 ], [ 1, 0, 0 ], [ 1, 1, 0 ], [ 1, 2, 3 ], [ 1, 3, 3 ], [ 1, 4, 4 ], [ 1, 5, 4 ], [ 1, 6, 0 ], [ 1, 7, 0 ], [ 1, 8, 15 ], [ 1, 9, 15 ], [ 1, 10, 20 ], [ 1, 11, 20 ], [ 1, 12, 3 ], [ 1, 13, 3 ], [ 1, 14, 15 ], [ 1, 15, 15 ], [ 1, 16, 7 ], [ 1, 17, 7 ], [ 1, 18, 4 ], [ 1, 19, 4 ], [ 1, 20, 20 ], [ 1, 21, 20 ], [ 1, 22, 7 ], [ 1, 23, 7 ], [ 1, 24, 0 ], [ 1, 25, 0 ], [ 1, 26, 3 ], [ 1, 27, 3 ], [ 1, 28, 4 ], [ 1, 29, 4 ], [ 1, 30, 0 ], [ 1, 31, 0 ], [ 1, 32, 81 ], [ 1, 33, 81 ], [ 1, 34, 104 ], [ 1, 35, 104 ], [ 1, 36, 3 ], [ 1, 37, 3 ], [ 1, 38, 81 ], [ 1, 39, 81 ], [ 1, 40, 55 ], [ 1, 41, 55 ], [ 1, 42, 4 ], [ 1, 43, 4 ], [ 1, 44, 104 ], [ 1, 45, 104 ], [ 1, 46, 55 ], [ 1, 47, 55 ], [ 1, 48, 0 ], [ 1, 49, 0 ], [ 1, 50, 15 ], [ 1, 51, 15 ], [ 1, 52, 20 ], [ 1, 53, 20 ], [ 1, 54, 0 ], [ 1, 55, 0 ], [ 1, 56, 81 ], [ 1, 57, 81 ], [ 1, 58, 104 ], [ 1, 59, 104 ], [ 1, 60, 15 ], [ 1, 61, 15 ], [ 1, 62, 81 ], [ 1, 63, 81 ], [ 1, 64, 25 ], [ 1, 65, 25 ], [ 1, 66, 20 ], [ 1, 67, 20 ], [ 1, 68, 104 ], [ 1, 69, 104 ], [ 1, 70, 25 ], [ 1, 71, 25 ], [ 1, 72, 3 ], [ 1, 73, 3 ], [ 1, 74, 15 ], [ 1, 75, 15 ], [ 1, 76, 7 ], [ 1, 77, 7 ], [ 1, 78, 3 ], [ 1, 79, 3 ], [ 1, 80, 81 ], [ 1, 81, 81 ], [ 1, 82, 55 ], [ 1, 83, 55 ], [ 1, 84, 15 ], [ 1, 85, 15 ], [ 1, 86, 81 ], [ 1, 87, 81 ], [ 1, 88, 25 ], [ 1, 89, 25 ], [ 1, 90, 7 ], [ 1, 91, 7 ], [ 1, 92, 55 ], [ 1, 93, 55 ], [ 1, 94, 25 ], [ 1, 95, 25 ], [ 1, 96, 4 ], [ 1, 97, 4 ], [ 1, 98, 20 ], [ 1, 99, 20 ], [ 1, 100, 7 ], [ 1, 101, 7 ], [ 1, 102, 4 ], [ 1, 103, 4 ], [ 1, 104, 104 ], [ 1, 105, 104 ], [ 1, 106, 55 ], [ 1, 107, 55 ], [ 1, 108, 20 ], [ 1, 109, 20 ], [ 1, 110, 104 ], [ 1, 111, 104 ], [ 1, 112, 25 ], [ 1, 113, 25 ], [ 1, 114, 7 ], [ 1, 115, 7 ], [ 1, 116, 55 ], [ 1, 117, 55 ], [ 1, 118, 25 ], [ 1, 119, 25 ], [ 2, 0, 0 ], [ 2, 1, 4 ], [ 2, 2, 0 ], [ 2, 3, 3 ], [ 2, 4, 4 ], [ 2, 5, 3 ], [ 2, 6, 8 ], [ 2, 7, 23 ], [ 2, 8, 8 ], [ 2, 9, 3 ], [ 2, 10, 23 ], [ 2, 11, 3 ], [ 2, 12, 12 ], [ 2, 13, 23 ], [ 2, 14, 12 ], [ 2, 15, 4 ], [ 2, 16, 23 ], [ 2, 17, 4 ], [ 2, 18, 12 ], [ 2, 19, 8 ], [ 2, 20, 12 ], [ 2, 21, 0 ], [ 2, 22, 8 ], [ 2, 23, 0 ], [ 2, 24, 0 ], [ 2, 25, 4 ], [ 2, 26, 0 ], [ 2, 27, 3 ], [ 2, 28, 4 ], [ 2, 29, 3 ], [ 2, 30, 56 ], [ 2, 31, 107 ], [ 2, 32, 56 ], [ 2, 33, 3 ], [ 2, 34, 107 ], [ 2, 35, 3 ], [ 2, 36, 78 ], [ 2, 37, 107 ], [ 2, 38, 78 ], [ 2, 39, 4 ], [ 2, 40, 107 ], [ 2, 41, 4 ], [ 2, 42, 78 ], [ 2, 43, 56 ], [ 2, 44, 78 ], [ 2, 45, 0 ], [ 2, 46, 56 ], [ 2, 47, 0 ], [ 2, 48, 8 ], [ 2, 49, 23 ], [ 2, 50, 8 ], [ 2, 51, 3 ], [ 2, 52, 23 ], [ 2, 53, 3 ], [ 2, 54, 56 ], [ 2, 55, 107 ], [ 2, 56, 56 ], [ 2, 57, 3 ], [ 2, 58, 107 ], [ 2, 59, 3 ], [ 2, 60, 26 ], [ 2, 61, 107 ], [ 2, 62, 26 ], [ 2, 63, 23 ], [ 2, 64, 107 ], [ 2, 65, 23 ], [ 2, 66, 26 ], [ 2, 67, 56 ], [ 2, 68, 26 ], [ 2, 69, 8 ], [ 2, 70, 56 ], [ 2, 71, 8 ], [ 2, 72, 12 ], [ 2, 73, 23 ], [ 2, 74, 12 ], [ 2, 75, 4 ], [ 2, 76, 23 ], [ 2, 77, 4 ], [ 2, 78, 78 ], [ 2, 79, 107 ], [ 2, 80, 78 ], [ 2, 81, 4 ], [ 2, 82, 107 ], [ 2, 83, 4 ], [ 2, 84, 26 ], [ 2, 85, 107 ], [ 2, 86, 26 ], [ 2, 87, 23 ], [ 2, 88, 107 ], [ 2, 89, 23 ], [ 2, 90, 26 ], [ 2, 91, 78 ], [ 2, 92, 26 ], [ 2, 93, 12 ], [ 2, 94, 78 ], [ 2, 95, 12 ], [ 2, 96, 12 ], [ 2, 97, 8 ], [ 2, 98, 12 ], [ 2, 99, 0 ], [ 2, 100, 8 ], [ 2, 101, 0 ], [ 2, 102, 78 ], [ 2, 103, 56 ], [ 2, 104, 78 ], [ 2, 105, 0 ], [ 2, 106, 56 ], [ 2, 107, 0 ], [ 2, 108, 26 ], [ 2, 109, 56 ], [ 2, 110, 26 ], [ 2, 111, 8 ], [ 2, 112, 56 ], [ 2, 113, 8 ], [ 2, 114, 26 ], [ 2, 115, 78 ], [ 2, 116, 26 ], [ 2, 117, 12 ], [ 2, 118, 78 ], [ 2, 119, 12 ], [ 3, 0, 0 ], [ 3, 1, 4 ], [ 3, 2, 4 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 5, 4 ], [ 3, 6, 8 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 9, 8 ], [ 3, 10, 8 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 13, 15 ], [ 3, 14, 15 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 17, 15 ], [ 3, 18, 19 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 21, 19 ], [ 3, 22, 19 ], [ 3, 23, 16 ], [ 3, 24, 0 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 27, 0 ], [ 3, 28, 0 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 31, 107 ], [ 3, 32, 107 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 35, 107 ], [ 3, 36, 55 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 39, 55 ], [ 3, 40, 55 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 43, 82 ], [ 3, 44, 82 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 47, 82 ], [ 3, 48, 8 ], [ 3, 49, 23 ], [ 3, 50, 23 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 53, 23 ], [ 3, 54, 56 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 57, 56 ], [ 3, 58, 56 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 61, 33 ], [ 3, 62, 33 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 65, 33 ], [ 3, 66, 100 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 69, 100 ], [ 3, 70, 100 ], [ 3, 71, 46 ], [ 3, 72, 7 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 75, 7 ], [ 3, 76, 7 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 79, 81 ], [ 3, 80, 81 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 83, 81 ], [ 3, 84, 51 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 87, 51 ], [ 3, 88, 51 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 91, 37 ], [ 3, 92, 37 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 95, 37 ], [ 3, 96, 19 ], [ 3, 97, 16 ], [ 3, 98, 16 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 101, 16 ], [ 3, 102, 103 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 105, 103 ], [ 3, 106, 103 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 109, 46 ], [ 3, 110, 46 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 113, 46 ], [ 3, 114, 73 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 117, 73 ], [ 3, 118, 73 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 1, 3 ], [ 4, 2, 3 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 5, 3 ], [ 4, 6, 11 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 9, 11 ], [ 4, 10, 11 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 13, 12 ], [ 4, 14, 12 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 17, 12 ], [ 4, 18, 20 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 21, 20 ], [ 4, 22, 20 ], [ 4, 23, 7 ], [ 4, 24, 0 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 27, 0 ], [ 4, 28, 0 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 31, 82 ], [ 4, 32, 82 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 35, 82 ], [ 4, 36, 107 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 39, 107 ], [ 4, 40, 107 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 43, 55 ], [ 4, 44, 55 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 47, 55 ], [ 4, 48, 11 ], [ 4, 49, 16 ], [ 4, 50, 16 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 53, 16 ], [ 4, 54, 59 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 57, 59 ], [ 4, 58, 59 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 61, 77 ], [ 4, 62, 77 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 65, 77 ], [ 4, 66, 34 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 69, 34 ], [ 4, 70, 34 ], [ 4, 71, 52 ], [ 4, 72, 23 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 75, 23 ], [ 4, 76, 23 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 79, 78 ], [ 4, 80, 78 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 83, 78 ], [ 4, 84, 41 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 87, 41 ], [ 4, 88, 41 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 91, 96 ], [ 4, 92, 96 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 95, 96 ], [ 4, 96, 20 ], [ 4, 97, 7 ], [ 4, 98, 7 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 101, 7 ], [ 4, 102, 104 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 105, 104 ], [ 4, 106, 104 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 109, 52 ], [ 4, 110, 52 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 113, 52 ], [ 4, 114, 42 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 117, 42 ], [ 4, 118, 42 ], [ 4, 119, 96 ], [ 5, 0, 0 ], [ 5, 1, 3 ], [ 5, 2, 4 ], [ 5, 3, 3 ], [ 5, 4, 4 ], [ 5, 5, 0 ], [ 5, 6, 11 ], [ 5, 7, 16 ], [ 5, 8, 4 ], [ 5, 9, 16 ], [ 5, 10, 4 ], [ 5, 11, 11 ], [ 5, 12, 11 ], [ 5, 13, 19 ], [ 5, 14, 0 ], [ 5, 15, 19 ], [ 5, 16, 0 ], [ 5, 17, 11 ], [ 5, 18, 16 ], [ 5, 19, 19 ], [ 5, 20, 3 ], [ 5, 21, 19 ], [ 5, 22, 3 ], [ 5, 23, 16 ], [ 5, 24, 0 ], [ 5, 25, 3 ], [ 5, 26, 4 ], [ 5, 27, 3 ], [ 5, 28, 4 ], [ 5, 29, 0 ], [ 5, 30, 59 ], [ 5, 31, 82 ], [ 5, 32, 4 ], [ 5, 33, 82 ], [ 5, 34, 4 ], [ 5, 35, 59 ], [ 5, 36, 59 ], [ 5, 37, 103 ], [ 5, 38, 0 ], [ 5, 39, 103 ], [ 5, 40, 0 ], [ 5, 41, 59 ], [ 5, 42, 82 ], [ 5, 43, 103 ], [ 5, 44, 3 ], [ 5, 45, 103 ], [ 5, 46, 3 ], [ 5, 47, 82 ], [ 5, 48, 11 ], [ 5, 49, 16 ], [ 5, 50, 4 ], [ 5, 51, 16 ], [ 5, 52, 4 ], [ 5, 53, 11 ], [ 5, 54, 59 ], [ 5, 55, 82 ], [ 5, 56, 4 ], [ 5, 57, 82 ], [ 5, 58, 4 ], [ 5, 59, 59 ], [ 5, 60, 59 ], [ 5, 61, 29 ], [ 5, 62, 11 ], [ 5, 63, 29 ], [ 5, 64, 11 ], [ 5, 65, 59 ], [ 5, 66, 82 ], [ 5, 67, 29 ], [ 5, 68, 16 ], [ 5, 69, 29 ], [ 5, 70, 16 ], [ 5, 71, 82 ], [ 5, 72, 11 ], [ 5, 73, 19 ], [ 5, 74, 0 ], [ 5, 75, 19 ], [ 5, 76, 0 ], [ 5, 77, 11 ], [ 5, 78, 59 ], [ 5, 79, 103 ], [ 5, 80, 0 ], [ 5, 81, 103 ], [ 5, 82, 0 ], [ 5, 83, 59 ], [ 5, 84, 59 ], [ 5, 85, 29 ], [ 5, 86, 11 ], [ 5, 87, 29 ], [ 5, 88, 11 ], [ 5, 89, 59 ], [ 5, 90, 103 ], [ 5, 91, 29 ], [ 5, 92, 19 ], [ 5, 93, 29 ], [ 5, 94, 19 ], [ 5, 95, 103 ], [ 5, 96, 16 ], [ 5, 97, 19 ], [ 5, 98, 3 ], [ 5, 99, 19 ], [ 5, 100, 3 ], [ 5, 101, 16 ], [ 5, 102, 82 ], [ 5, 103, 103 ], [ 5, 104, 3 ], [ 5, 105, 103 ], [ 5, 106, 3 ], [ 5, 107, 82 ], [ 5, 108, 82 ], [ 5, 109, 29 ], [ 5, 110, 16 ], [ 5, 111, 29 ], [ 5, 112, 16 ], [ 5, 113, 82 ], [ 5, 114, 103 ], [ 5, 115, 29 ], [ 5, 116, 19 ], [ 5, 117, 29 ], [ 5, 118, 19 ], [ 5, 119, 103 ], [ 6, 0, 0 ], [ 6, 1, 0 ], [ 6, 2, 12 ], [ 6, 3, 12 ], [ 6, 4, 19 ], [ 6, 5, 19 ], [ 6, 6, 0 ], [ 6, 7, 0 ], [ 6, 8, 8 ], [ 6, 9, 8 ], [ 6, 10, 11 ], [ 6, 11, 11 ], [ 6, 12, 12 ], [ 6, 13, 12 ], [ 6, 14, 8 ], [ 6, 15, 8 ], [ 6, 16, 7 ], [ 6, 17, 7 ], [ 6, 18, 19 ], [ 6, 19, 19 ], [ 6, 20, 11 ], [ 6, 21, 11 ], [ 6, 22, 7 ], [ 6, 23, 7 ], [ 6, 24, 30 ], [ 6, 25, 30 ], [ 6, 26, 86 ], [ 6, 27, 86 ], [ 6, 28, 111 ], [ 6, 29, 111 ], [ 6, 30, 30 ], [ 6, 31, 30 ], [ 6, 32, 8 ], [ 6, 33, 8 ], [ 6, 34, 11 ], [ 6, 35, 11 ], [ 6, 36, 86 ], [ 6, 37, 86 ], [ 6, 38, 8 ], [ 6, 39, 8 ], [ 6, 40, 7 ], [ 6, 41, 7 ], [ 6, 42, 111 ], [ 6, 43, 111 ], [ 6, 44, 11 ], [ 6, 45, 11 ], [ 6, 46, 7 ], [ 6, 47, 7 ], [ 6, 48, 48 ], [ 6, 49, 48 ], [ 6, 50, 86 ], [ 6, 51, 86 ], [ 6, 52, 111 ], [ 6, 53, 111 ], [ 6, 54, 48 ], [ 6, 55, 48 ], [ 6, 56, 12 ], [ 6, 57, 12 ], [ 6, 58, 19 ], [ 6, 59, 19 ], [ 6, 60, 86 ], [ 6, 61, 86 ], [ 6, 62, 12 ], [ 6, 63, 12 ], [ 6, 64, 7 ], [ 6, 65, 7 ], [ 6, 66, 111 ], [ 6, 67, 111 ], [ 6, 68, 19 ], [ 6, 69, 19 ], [ 6, 70, 7 ], [ 6, 71, 7 ], [ 6, 72, 48 ], [ 6, 73, 48 ], [ 6, 74, 30 ], [ 6, 75, 30 ], [ 6, 76, 111 ], [ 6, 77, 111 ], [ 6, 78, 48 ], [ 6, 79, 48 ], [ 6, 80, 0 ], [ 6, 81, 0 ], [ 6, 82, 19 ], [ 6, 83, 19 ], [ 6, 84, 30 ], [ 6, 85, 30 ], [ 6, 86, 0 ], [ 6, 87, 0 ], [ 6, 88, 11 ], [ 6, 89, 11 ], [ 6, 90, 111 ], [ 6, 91, 111 ], [ 6, 92, 19 ], [ 6, 93, 19 ], [ 6, 94, 11 ], [ 6, 95, 11 ], [ 6, 96, 48 ], [ 6, 97, 48 ], [ 6, 98, 30 ], [ 6, 99, 30 ], [ 6, 100, 86 ], [ 6, 101, 86 ], [ 6, 102, 48 ], [ 6, 103, 48 ], [ 6, 104, 0 ], [ 6, 105, 0 ], [ 6, 106, 12 ], [ 6, 107, 12 ], [ 6, 108, 30 ], [ 6, 109, 30 ], [ 6, 110, 0 ], [ 6, 111, 0 ], [ 6, 112, 8 ], [ 6, 113, 8 ], [ 6, 114, 86 ], [ 6, 115, 86 ], [ 6, 116, 12 ], [ 6, 117, 12 ], [ 6, 118, 8 ], [ 6, 119, 8 ], [ 7, 0, 0 ], [ 7, 1, 0 ], [ 7, 2, 23 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 5, 16 ], [ 7, 6, 0 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 9, 16 ], [ 7, 10, 23 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 13, 23 ], [ 7, 14, 16 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 17, 0 ], [ 7, 18, 16 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 21, 23 ], [ 7, 22, 0 ], [ 7, 23, 0 ], [ 7, 24, 30 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 27, 112 ], [ 7, 28, 89 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 31, 30 ], [ 7, 32, 89 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 35, 112 ], [ 7, 36, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 39, 89 ], [ 7, 40, 30 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 43, 89 ], [ 7, 44, 112 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 47, 30 ], [ 7, 48, 48 ], [ 7, 49, 48 ], [ 7, 50, 116 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 53, 93 ], [ 7, 54, 48 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 57, 93 ], [ 7, 58, 116 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 61, 116 ], [ 7, 62, 93 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 65, 48 ], [ 7, 66, 93 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 69, 116 ], [ 7, 70, 48 ], [ 7, 71, 48 ], [ 7, 72, 51 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 75, 37 ], [ 7, 76, 81 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 79, 51 ], [ 7, 80, 81 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 83, 37 ], [ 7, 84, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 87, 81 ], [ 7, 88, 51 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 91, 81 ], [ 7, 92, 37 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 95, 51 ], [ 7, 96, 52 ], [ 7, 97, 52 ], [ 7, 98, 42 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 101, 104 ], [ 7, 102, 52 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 105, 104 ], [ 7, 106, 42 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 109, 42 ], [ 7, 110, 104 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 113, 52 ], [ 7, 114, 104 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 117, 42 ], [ 7, 118, 52 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 1, 20 ], [ 8, 2, 12 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 5, 3 ], [ 8, 6, 12 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 9, 11 ], [ 8, 10, 20 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 13, 3 ], [ 8, 14, 12 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 17, 11 ], [ 8, 18, 20 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 21, 11 ], [ 8, 22, 3 ], [ 8, 23, 7 ], [ 8, 24, 30 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 27, 112 ], [ 8, 28, 89 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 31, 89 ], [ 8, 32, 30 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 35, 7 ], [ 8, 36, 30 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 39, 7 ], [ 8, 40, 112 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 43, 112 ], [ 8, 44, 89 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 47, 7 ], [ 8, 48, 26 ], [ 8, 49, 100 ], [ 8, 50, 56 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 53, 33 ], [ 8, 54, 56 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 57, 23 ], [ 8, 58, 100 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 61, 33 ], [ 8, 62, 56 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 65, 23 ], [ 8, 66, 100 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 69, 23 ], [ 8, 70, 33 ], [ 8, 71, 3 ], [ 8, 72, 74 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 75, 108 ], [ 8, 76, 71 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 79, 71 ], [ 8, 80, 74 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 83, 16 ], [ 8, 84, 74 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 87, 16 ], [ 8, 88, 108 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 91, 108 ], [ 8, 92, 71 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 95, 16 ], [ 8, 96, 74 ], [ 8, 97, 26 ], [ 8, 98, 60 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 101, 86 ], [ 8, 102, 60 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 105, 0 ], [ 8, 106, 26 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 109, 86 ], [ 8, 110, 60 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 113, 0 ], [ 8, 114, 26 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 117, 0 ], [ 8, 118, 86 ], [ 8, 119, 12 ], [ 9, 0, 0 ], [ 9, 1, 20 ], [ 9, 2, 4 ], [ 9, 3, 12 ], [ 9, 4, 19 ], [ 9, 5, 16 ], [ 9, 6, 12 ], [ 9, 7, 16 ], [ 9, 8, 19 ], [ 9, 9, 0 ], [ 9, 10, 4 ], [ 9, 11, 20 ], [ 9, 12, 20 ], [ 9, 13, 19 ], [ 9, 14, 16 ], [ 9, 15, 4 ], [ 9, 16, 0 ], [ 9, 17, 12 ], [ 9, 18, 0 ], [ 9, 19, 4 ], [ 9, 20, 12 ], [ 9, 21, 19 ], [ 9, 22, 20 ], [ 9, 23, 16 ], [ 9, 24, 30 ], [ 9, 25, 108 ], [ 9, 26, 34 ], [ 9, 27, 86 ], [ 9, 28, 111 ], [ 9, 29, 89 ], [ 9, 30, 86 ], [ 9, 31, 89 ], [ 9, 32, 111 ], [ 9, 33, 30 ], [ 9, 34, 34 ], [ 9, 35, 108 ], [ 9, 36, 108 ], [ 9, 37, 111 ], [ 9, 38, 89 ], [ 9, 39, 34 ], [ 9, 40, 30 ], [ 9, 41, 86 ], [ 9, 42, 30 ], [ 9, 43, 34 ], [ 9, 44, 86 ], [ 9, 45, 111 ], [ 9, 46, 108 ], [ 9, 47, 89 ], [ 9, 48, 26 ], [ 9, 49, 100 ], [ 9, 50, 46 ], [ 9, 51, 56 ], [ 9, 52, 107 ], [ 9, 53, 71 ], [ 9, 54, 56 ], [ 9, 55, 71 ], [ 9, 56, 107 ], [ 9, 57, 26 ], [ 9, 58, 46 ], [ 9, 59, 100 ], [ 9, 60, 100 ], [ 9, 61, 107 ], [ 9, 62, 71 ], [ 9, 63, 46 ], [ 9, 64, 26 ], [ 9, 65, 56 ], [ 9, 66, 26 ], [ 9, 67, 46 ], [ 9, 68, 56 ], [ 9, 69, 107 ], [ 9, 70, 100 ], [ 9, 71, 71 ], [ 9, 72, 25 ], [ 9, 73, 73 ], [ 9, 74, 37 ], [ 9, 75, 55 ], [ 9, 76, 81 ], [ 9, 77, 63 ], [ 9, 78, 55 ], [ 9, 79, 63 ], [ 9, 80, 81 ], [ 9, 81, 25 ], [ 9, 82, 37 ], [ 9, 83, 73 ], [ 9, 84, 73 ], [ 9, 85, 81 ], [ 9, 86, 63 ], [ 9, 87, 37 ], [ 9, 88, 25 ], [ 9, 89, 55 ], [ 9, 90, 25 ], [ 9, 91, 37 ], [ 9, 92, 55 ], [ 9, 93, 81 ], [ 9, 94, 73 ], [ 9, 95, 63 ], [ 9, 96, 99 ], [ 9, 97, 77 ], [ 9, 98, 115 ], [ 9, 99, 67 ], [ 9, 100, 94 ], [ 9, 101, 64 ], [ 9, 102, 67 ], [ 9, 103, 64 ], [ 9, 104, 94 ], [ 9, 105, 99 ], [ 9, 106, 115 ], [ 9, 107, 77 ], [ 9, 108, 77 ], [ 9, 109, 94 ], [ 9, 110, 64 ], [ 9, 111, 115 ], [ 9, 112, 99 ], [ 9, 113, 67 ], [ 9, 114, 99 ], [ 9, 115, 115 ], [ 9, 116, 67 ], [ 9, 117, 94 ], [ 9, 118, 77 ], [ 9, 119, 64 ], [ 10, 0, 0 ], [ 10, 1, 15 ], [ 10, 2, 23 ], [ 10, 3, 12 ], [ 10, 4, 19 ], [ 10, 5, 3 ], [ 10, 6, 19 ], [ 10, 7, 23 ], [ 10, 8, 15 ], [ 10, 9, 3 ], [ 10, 10, 0 ], [ 10, 11, 12 ], [ 10, 12, 3 ], [ 10, 13, 0 ], [ 10, 14, 12 ], [ 10, 15, 19 ], [ 10, 16, 23 ], [ 10, 17, 15 ], [ 10, 18, 12 ], [ 10, 19, 15 ], [ 10, 20, 3 ], [ 10, 21, 23 ], [ 10, 22, 19 ], [ 10, 23, 0 ], [ 10, 24, 30 ], [ 10, 25, 85 ], [ 10, 26, 112 ], [ 10, 27, 86 ], [ 10, 28, 111 ], [ 10, 29, 33 ], [ 10, 30, 111 ], [ 10, 31, 112 ], [ 10, 32, 85 ], [ 10, 33, 33 ], [ 10, 34, 30 ], [ 10, 35, 86 ], [ 10, 36, 33 ], [ 10, 37, 30 ], [ 10, 38, 86 ], [ 10, 39, 111 ], [ 10, 40, 112 ], [ 10, 41, 85 ], [ 10, 42, 86 ], [ 10, 43, 85 ], [ 10, 44, 33 ], [ 10, 45, 112 ], [ 10, 46, 111 ], [ 10, 47, 30 ], [ 10, 48, 29 ], [ 10, 49, 77 ], [ 10, 50, 64 ], [ 10, 51, 82 ], [ 10, 52, 59 ], [ 10, 53, 41 ], [ 10, 54, 59 ], [ 10, 55, 64 ], [ 10, 56, 77 ], [ 10, 57, 41 ], [ 10, 58, 29 ], [ 10, 59, 82 ], [ 10, 60, 41 ], [ 10, 61, 29 ], [ 10, 62, 82 ], [ 10, 63, 59 ], [ 10, 64, 64 ], [ 10, 65, 77 ], [ 10, 66, 82 ], [ 10, 67, 77 ], [ 10, 68, 41 ], [ 10, 69, 64 ], [ 10, 70, 59 ], [ 10, 71, 29 ], [ 10, 72, 100 ], [ 10, 73, 74 ], [ 10, 74, 60 ], [ 10, 75, 90 ], [ 10, 76, 71 ], [ 10, 77, 119 ], [ 10, 78, 71 ], [ 10, 79, 60 ], [ 10, 80, 74 ], [ 10, 81, 119 ], [ 10, 82, 100 ], [ 10, 83, 90 ], [ 10, 84, 119 ], [ 10, 85, 100 ], [ 10, 86, 90 ], [ 10, 87, 71 ], [ 10, 88, 60 ], [ 10, 89, 74 ], [ 10, 90, 90 ], [ 10, 91, 74 ], [ 10, 92, 119 ], [ 10, 93, 60 ], [ 10, 94, 71 ], [ 10, 95, 100 ], [ 10, 96, 96 ], [ 10, 97, 25 ], [ 10, 98, 55 ], [ 10, 99, 42 ], [ 10, 100, 68 ], [ 10, 101, 104 ], [ 10, 102, 68 ], [ 10, 103, 55 ], [ 10, 104, 25 ], [ 10, 105, 104 ], [ 10, 106, 96 ], [ 10, 107, 42 ], [ 10, 108, 104 ], [ 10, 109, 96 ], [ 10, 110, 42 ], [ 10, 111, 68 ], [ 10, 112, 55 ], [ 10, 113, 25 ], [ 10, 114, 42 ], [ 10, 115, 25 ], [ 10, 116, 104 ], [ 10, 117, 55 ], [ 10, 118, 68 ], [ 10, 119, 96 ], [ 11, 0, 0 ], [ 11, 1, 15 ], [ 11, 2, 4 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 5, 19 ], [ 11, 6, 19 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 9, 15 ], [ 11, 10, 8 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 13, 15 ], [ 11, 14, 8 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 17, 4 ], [ 11, 18, 4 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 21, 19 ], [ 11, 22, 8 ], [ 11, 23, 16 ], [ 11, 24, 30 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 27, 112 ], [ 11, 28, 89 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 31, 112 ], [ 11, 32, 7 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 35, 30 ], [ 11, 36, 89 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 39, 112 ], [ 11, 40, 7 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 43, 30 ], [ 11, 44, 7 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 47, 89 ], [ 11, 48, 29 ], [ 11, 49, 77 ], [ 11, 50, 34 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 53, 59 ], [ 11, 54, 59 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 57, 77 ], [ 11, 58, 16 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 61, 77 ], [ 11, 62, 16 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 65, 34 ], [ 11, 66, 34 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 69, 59 ], [ 11, 70, 16 ], [ 11, 71, 89 ], [ 11, 72, 29 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 75, 67 ], [ 11, 76, 111 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 79, 67 ], [ 11, 80, 0 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 83, 29 ], [ 11, 84, 111 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 87, 67 ], [ 11, 88, 0 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 91, 29 ], [ 11, 92, 0 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 95, 111 ], [ 11, 96, 77 ], [ 11, 97, 99 ], [ 11, 98, 85 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 101, 64 ], [ 11, 102, 64 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 105, 99 ], [ 11, 106, 23 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 109, 99 ], [ 11, 110, 23 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 113, 85 ], [ 11, 114, 85 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 117, 64 ], [ 11, 118, 23 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 1, 4 ], [ 12, 2, 8 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 5, 19 ], [ 12, 6, 8 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 9, 15 ], [ 12, 10, 4 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 13, 19 ], [ 12, 14, 8 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 17, 15 ], [ 12, 18, 4 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 21, 15 ], [ 12, 22, 19 ], [ 12, 23, 16 ], [ 12, 24, 38 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 27, 63 ], [ 12, 28, 115 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 31, 115 ], [ 12, 32, 38 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 35, 16 ], [ 12, 36, 38 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 39, 16 ], [ 12, 40, 63 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 43, 63 ], [ 12, 44, 115 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 47, 16 ], [ 12, 48, 86 ], [ 12, 49, 93 ], [ 12, 50, 48 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 53, 116 ], [ 12, 54, 48 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 57, 7 ], [ 12, 58, 93 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 61, 116 ], [ 12, 62, 48 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 65, 7 ], [ 12, 66, 93 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 69, 7 ], [ 12, 70, 116 ], [ 12, 71, 19 ], [ 12, 72, 78 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 75, 41 ], [ 12, 76, 96 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 79, 96 ], [ 12, 80, 78 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 83, 23 ], [ 12, 84, 78 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 87, 23 ], [ 12, 88, 41 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 91, 41 ], [ 12, 92, 96 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 95, 23 ], [ 12, 96, 78 ], [ 12, 97, 86 ], [ 12, 98, 26 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 101, 60 ], [ 12, 102, 26 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 105, 0 ], [ 12, 106, 86 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 109, 60 ], [ 12, 110, 26 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 113, 0 ], [ 12, 114, 86 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 117, 0 ], [ 12, 118, 60 ], [ 12, 119, 8 ], [ 13, 0, 0 ], [ 13, 1, 4 ], [ 13, 2, 23 ], [ 13, 3, 20 ], [ 13, 4, 8 ], [ 13, 5, 11 ], [ 13, 6, 8 ], [ 13, 7, 23 ], [ 13, 8, 4 ], [ 13, 9, 11 ], [ 13, 10, 0 ], [ 13, 11, 20 ], [ 13, 12, 11 ], [ 13, 13, 0 ], [ 13, 14, 20 ], [ 13, 15, 8 ], [ 13, 16, 23 ], [ 13, 17, 4 ], [ 13, 18, 20 ], [ 13, 19, 4 ], [ 13, 20, 11 ], [ 13, 21, 23 ], [ 13, 22, 8 ], [ 13, 23, 0 ], [ 13, 24, 38 ], [ 13, 25, 41 ], [ 13, 26, 115 ], [ 13, 27, 119 ], [ 13, 28, 60 ], [ 13, 29, 64 ], [ 13, 30, 60 ], [ 13, 31, 115 ], [ 13, 32, 41 ], [ 13, 33, 64 ], [ 13, 34, 38 ], [ 13, 35, 119 ], [ 13, 36, 64 ], [ 13, 37, 38 ], [ 13, 38, 119 ], [ 13, 39, 60 ], [ 13, 40, 115 ], [ 13, 41, 41 ], [ 13, 42, 119 ], [ 13, 43, 41 ], [ 13, 44, 64 ], [ 13, 45, 115 ], [ 13, 46, 60 ], [ 13, 47, 38 ], [ 13, 48, 86 ], [ 13, 49, 93 ], [ 13, 50, 96 ], [ 13, 51, 111 ], [ 13, 52, 48 ], [ 13, 53, 68 ], [ 13, 54, 48 ], [ 13, 55, 96 ], [ 13, 56, 93 ], [ 13, 57, 68 ], [ 13, 58, 86 ], [ 13, 59, 111 ], [ 13, 60, 68 ], [ 13, 61, 86 ], [ 13, 62, 111 ], [ 13, 63, 48 ], [ 13, 64, 96 ], [ 13, 65, 93 ], [ 13, 66, 111 ], [ 13, 67, 93 ], [ 13, 68, 68 ], [ 13, 69, 96 ], [ 13, 70, 48 ], [ 13, 71, 86 ], [ 13, 72, 85 ], [ 13, 73, 81 ], [ 13, 74, 25 ], [ 13, 75, 33 ], [ 13, 76, 51 ], [ 13, 77, 55 ], [ 13, 78, 51 ], [ 13, 79, 25 ], [ 13, 80, 81 ], [ 13, 81, 55 ], [ 13, 82, 85 ], [ 13, 83, 33 ], [ 13, 84, 55 ], [ 13, 85, 85 ], [ 13, 86, 33 ], [ 13, 87, 51 ], [ 13, 88, 25 ], [ 13, 89, 81 ], [ 13, 90, 33 ], [ 13, 91, 81 ], [ 13, 92, 55 ], [ 13, 93, 25 ], [ 13, 94, 51 ], [ 13, 95, 85 ], [ 13, 96, 90 ], [ 13, 97, 82 ], [ 13, 98, 29 ], [ 13, 99, 46 ], [ 13, 100, 100 ], [ 13, 101, 103 ], [ 13, 102, 100 ], [ 13, 103, 29 ], [ 13, 104, 82 ], [ 13, 105, 103 ], [ 13, 106, 90 ], [ 13, 107, 46 ], [ 13, 108, 103 ], [ 13, 109, 90 ], [ 13, 110, 46 ], [ 13, 111, 100 ], [ 13, 112, 29 ], [ 13, 113, 82 ], [ 13, 114, 46 ], [ 13, 115, 82 ], [ 13, 116, 103 ], [ 13, 117, 29 ], [ 13, 118, 100 ], [ 13, 119, 90 ], [ 14, 0, 0 ], [ 14, 1, 20 ], [ 14, 2, 8 ], [ 14, 3, 20 ], [ 14, 4, 8 ], [ 14, 5, 0 ], [ 14, 6, 12 ], [ 14, 7, 16 ], [ 14, 8, 8 ], [ 14, 9, 16 ], [ 14, 10, 8 ], [ 14, 11, 12 ], [ 14, 12, 12 ], [ 14, 13, 15 ], [ 14, 14, 0 ], [ 14, 15, 15 ], [ 14, 16, 0 ], [ 14, 17, 12 ], [ 14, 18, 16 ], [ 14, 19, 15 ], [ 14, 20, 20 ], [ 14, 21, 15 ], [ 14, 22, 20 ], [ 14, 23, 16 ], [ 14, 24, 38 ], [ 14, 25, 119 ], [ 14, 26, 60 ], [ 14, 27, 119 ], [ 14, 28, 60 ], [ 14, 29, 38 ], [ 14, 30, 12 ], [ 14, 31, 16 ], [ 14, 32, 60 ], [ 14, 33, 16 ], [ 14, 34, 60 ], [ 14, 35, 12 ], [ 14, 36, 12 ], [ 14, 37, 15 ], [ 14, 38, 38 ], [ 14, 39, 15 ], [ 14, 40, 38 ], [ 14, 41, 12 ], [ 14, 42, 16 ], [ 14, 43, 15 ], [ 14, 44, 119 ], [ 14, 45, 15 ], [ 14, 46, 119 ], [ 14, 47, 16 ], [ 14, 48, 38 ], [ 14, 49, 119 ], [ 14, 50, 74 ], [ 14, 51, 119 ], [ 14, 52, 74 ], [ 14, 53, 38 ], [ 14, 54, 0 ], [ 14, 55, 20 ], [ 14, 56, 74 ], [ 14, 57, 20 ], [ 14, 58, 74 ], [ 14, 59, 0 ], [ 14, 60, 0 ], [ 14, 61, 15 ], [ 14, 62, 38 ], [ 14, 63, 15 ], [ 14, 64, 38 ], [ 14, 65, 0 ], [ 14, 66, 20 ], [ 14, 67, 15 ], [ 14, 68, 119 ], [ 14, 69, 15 ], [ 14, 70, 119 ], [ 14, 71, 20 ], [ 14, 72, 60 ], [ 14, 73, 119 ], [ 14, 74, 74 ], [ 14, 75, 119 ], [ 14, 76, 74 ], [ 14, 77, 60 ], [ 14, 78, 8 ], [ 14, 79, 20 ], [ 14, 80, 74 ], [ 14, 81, 20 ], [ 14, 82, 74 ], [ 14, 83, 8 ], [ 14, 84, 8 ], [ 14, 85, 16 ], [ 14, 86, 60 ], [ 14, 87, 16 ], [ 14, 88, 60 ], [ 14, 89, 8 ], [ 14, 90, 20 ], [ 14, 91, 16 ], [ 14, 92, 119 ], [ 14, 93, 16 ], [ 14, 94, 119 ], [ 14, 95, 20 ], [ 14, 96, 60 ], [ 14, 97, 38 ], [ 14, 98, 74 ], [ 14, 99, 38 ], [ 14, 100, 74 ], [ 14, 101, 60 ], [ 14, 102, 8 ], [ 14, 103, 0 ], [ 14, 104, 74 ], [ 14, 105, 0 ], [ 14, 106, 74 ], [ 14, 107, 8 ], [ 14, 108, 8 ], [ 14, 109, 12 ], [ 14, 110, 60 ], [ 14, 111, 12 ], [ 14, 112, 60 ], [ 14, 113, 8 ], [ 14, 114, 0 ], [ 14, 115, 12 ], [ 14, 116, 38 ], [ 14, 117, 12 ], [ 14, 118, 38 ], [ 14, 119, 0 ], [ 15, 0, 0 ], [ 15, 1, 20 ], [ 15, 2, 3 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 5, 11 ], [ 15, 6, 12 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 9, 3 ], [ 15, 10, 11 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 13, 12 ], [ 15, 14, 20 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 17, 11 ], [ 15, 18, 12 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 21, 20 ], [ 15, 22, 3 ], [ 15, 23, 7 ], [ 15, 24, 38 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 27, 63 ], [ 15, 28, 115 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 31, 16 ], [ 15, 32, 63 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 35, 115 ], [ 15, 36, 16 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 39, 38 ], [ 15, 40, 115 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 43, 16 ], [ 15, 44, 38 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 47, 63 ], [ 15, 48, 38 ], [ 15, 49, 119 ], [ 15, 50, 25 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 53, 94 ], [ 15, 54, 0 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 57, 25 ], [ 15, 58, 94 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 61, 0 ], [ 15, 62, 119 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 65, 94 ], [ 15, 66, 0 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 69, 119 ], [ 15, 70, 25 ], [ 15, 71, 81 ], [ 15, 72, 37 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 75, 81 ], [ 15, 76, 51 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 79, 7 ], [ 15, 80, 81 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 83, 51 ], [ 15, 84, 7 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 87, 37 ], [ 15, 88, 51 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 91, 7 ], [ 15, 92, 37 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 95, 81 ], [ 15, 96, 115 ], [ 15, 97, 64 ], [ 15, 98, 99 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 101, 85 ], [ 15, 102, 23 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 105, 99 ], [ 15, 106, 85 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 109, 23 ], [ 15, 110, 64 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 113, 85 ], [ 15, 114, 23 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 117, 64 ], [ 15, 118, 99 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 1, 7 ], [ 16, 2, 23 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 5, 0 ], [ 16, 6, 7 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 9, 0 ], [ 16, 10, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 13, 23 ], [ 16, 14, 0 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 17, 7 ], [ 16, 18, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 21, 23 ], [ 16, 22, 7 ], [ 16, 23, 0 ], [ 16, 24, 38 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 27, 63 ], [ 16, 28, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 31, 38 ], [ 16, 32, 115 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 35, 63 ], [ 16, 36, 63 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 39, 115 ], [ 16, 40, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 43, 115 ], [ 16, 44, 63 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 47, 38 ], [ 16, 48, 34 ], [ 16, 49, 59 ], [ 16, 50, 77 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 53, 34 ], [ 16, 54, 59 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 57, 34 ], [ 16, 58, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 61, 77 ], [ 16, 62, 34 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 65, 59 ], [ 16, 66, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 69, 77 ], [ 16, 70, 59 ], [ 16, 71, 34 ], [ 16, 72, 108 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 75, 71 ], [ 16, 76, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 79, 108 ], [ 16, 80, 74 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 83, 71 ], [ 16, 84, 71 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 87, 74 ], [ 16, 88, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 91, 74 ], [ 16, 92, 71 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 95, 108 ], [ 16, 96, 103 ], [ 16, 97, 46 ], [ 16, 98, 73 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 101, 103 ], [ 16, 102, 46 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 105, 103 ], [ 16, 106, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 109, 73 ], [ 16, 110, 103 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 113, 46 ], [ 16, 114, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 117, 73 ], [ 16, 118, 46 ], [ 16, 119, 103 ], [ 17, 0, 0 ], [ 17, 1, 7 ], [ 17, 2, 3 ], [ 17, 3, 20 ], [ 17, 4, 8 ], [ 17, 5, 19 ], [ 17, 6, 7 ], [ 17, 7, 0 ], [ 17, 8, 19 ], [ 17, 9, 8 ], [ 17, 10, 20 ], [ 17, 11, 3 ], [ 17, 12, 20 ], [ 17, 13, 3 ], [ 17, 14, 8 ], [ 17, 15, 19 ], [ 17, 16, 7 ], [ 17, 17, 0 ], [ 17, 18, 19 ], [ 17, 19, 8 ], [ 17, 20, 3 ], [ 17, 21, 20 ], [ 17, 22, 0 ], [ 17, 23, 7 ], [ 17, 24, 38 ], [ 17, 25, 63 ], [ 17, 26, 37 ], [ 17, 27, 119 ], [ 17, 28, 60 ], [ 17, 29, 116 ], [ 17, 30, 63 ], [ 17, 31, 38 ], [ 17, 32, 116 ], [ 17, 33, 60 ], [ 17, 34, 119 ], [ 17, 35, 37 ], [ 17, 36, 119 ], [ 17, 37, 37 ], [ 17, 38, 60 ], [ 17, 39, 116 ], [ 17, 40, 63 ], [ 17, 41, 38 ], [ 17, 42, 116 ], [ 17, 43, 60 ], [ 17, 44, 37 ], [ 17, 45, 119 ], [ 17, 46, 38 ], [ 17, 47, 63 ], [ 17, 48, 34 ], [ 17, 49, 59 ], [ 17, 50, 29 ], [ 17, 51, 89 ], [ 17, 52, 52 ], [ 17, 53, 82 ], [ 17, 54, 59 ], [ 17, 55, 34 ], [ 17, 56, 82 ], [ 17, 57, 52 ], [ 17, 58, 89 ], [ 17, 59, 29 ], [ 17, 60, 89 ], [ 17, 61, 29 ], [ 17, 62, 52 ], [ 17, 63, 82 ], [ 17, 64, 59 ], [ 17, 65, 34 ], [ 17, 66, 82 ], [ 17, 67, 52 ], [ 17, 68, 29 ], [ 17, 69, 89 ], [ 17, 70, 34 ], [ 17, 71, 59 ], [ 17, 72, 42 ], [ 17, 73, 107 ], [ 17, 74, 26 ], [ 17, 75, 93 ], [ 17, 76, 96 ], [ 17, 77, 78 ], [ 17, 78, 107 ], [ 17, 79, 42 ], [ 17, 80, 78 ], [ 17, 81, 96 ], [ 17, 82, 93 ], [ 17, 83, 26 ], [ 17, 84, 93 ], [ 17, 85, 26 ], [ 17, 86, 96 ], [ 17, 87, 78 ], [ 17, 88, 107 ], [ 17, 89, 42 ], [ 17, 90, 78 ], [ 17, 91, 96 ], [ 17, 92, 26 ], [ 17, 93, 93 ], [ 17, 94, 42 ], [ 17, 95, 107 ], [ 17, 96, 67 ], [ 17, 97, 112 ], [ 17, 98, 51 ], [ 17, 99, 94 ], [ 17, 100, 99 ], [ 17, 101, 85 ], [ 17, 102, 112 ], [ 17, 103, 67 ], [ 17, 104, 85 ], [ 17, 105, 99 ], [ 17, 106, 94 ], [ 17, 107, 51 ], [ 17, 108, 94 ], [ 17, 109, 51 ], [ 17, 110, 99 ], [ 17, 111, 85 ], [ 17, 112, 112 ], [ 17, 113, 67 ], [ 17, 114, 85 ], [ 17, 115, 99 ], [ 17, 116, 51 ], [ 17, 117, 94 ], [ 17, 118, 67 ], [ 17, 119, 112 ], [ 18, 0, 0 ], [ 18, 1, 3 ], [ 18, 2, 8 ], [ 18, 3, 11 ], [ 18, 4, 15 ], [ 18, 5, 16 ], [ 18, 6, 11 ], [ 18, 7, 16 ], [ 18, 8, 15 ], [ 18, 9, 0 ], [ 18, 10, 8 ], [ 18, 11, 3 ], [ 18, 12, 3 ], [ 18, 13, 15 ], [ 18, 14, 16 ], [ 18, 15, 8 ], [ 18, 16, 0 ], [ 18, 17, 11 ], [ 18, 18, 0 ], [ 18, 19, 8 ], [ 18, 20, 11 ], [ 18, 21, 15 ], [ 18, 22, 3 ], [ 18, 23, 16 ], [ 18, 24, 45 ], [ 18, 25, 46 ], [ 18, 26, 71 ], [ 18, 27, 67 ], [ 18, 28, 94 ], [ 18, 29, 90 ], [ 18, 30, 67 ], [ 18, 31, 90 ], [ 18, 32, 94 ], [ 18, 33, 45 ], [ 18, 34, 71 ], [ 18, 35, 46 ], [ 18, 36, 46 ], [ 18, 37, 94 ], [ 18, 38, 90 ], [ 18, 39, 71 ], [ 18, 40, 45 ], [ 18, 41, 67 ], [ 18, 42, 45 ], [ 18, 43, 71 ], [ 18, 44, 67 ], [ 18, 45, 94 ], [ 18, 46, 46 ], [ 18, 47, 90 ], [ 18, 48, 111 ], [ 18, 49, 116 ], [ 18, 50, 63 ], [ 18, 51, 48 ], [ 18, 52, 86 ], [ 18, 53, 73 ], [ 18, 54, 48 ], [ 18, 55, 73 ], [ 18, 56, 86 ], [ 18, 57, 111 ], [ 18, 58, 63 ], [ 18, 59, 116 ], [ 18, 60, 116 ], [ 18, 61, 86 ], [ 18, 62, 73 ], [ 18, 63, 63 ], [ 18, 64, 111 ], [ 18, 65, 48 ], [ 18, 66, 111 ], [ 18, 67, 63 ], [ 18, 68, 48 ], [ 18, 69, 86 ], [ 18, 70, 116 ], [ 18, 71, 73 ], [ 18, 72, 107 ], [ 18, 73, 115 ], [ 18, 74, 41 ], [ 18, 75, 26 ], [ 18, 76, 78 ], [ 18, 77, 77 ], [ 18, 78, 26 ], [ 18, 79, 77 ], [ 18, 80, 78 ], [ 18, 81, 107 ], [ 18, 82, 41 ], [ 18, 83, 115 ], [ 18, 84, 115 ], [ 18, 85, 78 ], [ 18, 86, 77 ], [ 18, 87, 41 ], [ 18, 88, 107 ], [ 18, 89, 26 ], [ 18, 90, 107 ], [ 18, 91, 41 ], [ 18, 92, 26 ], [ 18, 93, 78 ], [ 18, 94, 115 ], [ 18, 95, 77 ], [ 18, 96, 104 ], [ 18, 97, 108 ], [ 18, 98, 34 ], [ 18, 99, 25 ], [ 18, 100, 55 ], [ 18, 101, 52 ], [ 18, 102, 25 ], [ 18, 103, 52 ], [ 18, 104, 55 ], [ 18, 105, 104 ], [ 18, 106, 34 ], [ 18, 107, 108 ], [ 18, 108, 108 ], [ 18, 109, 55 ], [ 18, 110, 52 ], [ 18, 111, 34 ], [ 18, 112, 104 ], [ 18, 113, 25 ], [ 18, 114, 104 ], [ 18, 115, 34 ], [ 18, 116, 25 ], [ 18, 117, 55 ], [ 18, 118, 108 ], [ 18, 119, 52 ], [ 19, 0, 0 ], [ 19, 1, 3 ], [ 19, 2, 12 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 5, 11 ], [ 19, 6, 11 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 9, 3 ], [ 19, 10, 20 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 13, 3 ], [ 19, 14, 20 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 17, 12 ], [ 19, 18, 12 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 21, 11 ], [ 19, 22, 20 ], [ 19, 23, 7 ], [ 19, 24, 45 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 27, 90 ], [ 19, 28, 68 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 31, 90 ], [ 19, 32, 23 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 35, 45 ], [ 19, 36, 68 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 39, 90 ], [ 19, 40, 23 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 43, 45 ], [ 19, 44, 23 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 47, 68 ], [ 19, 48, 111 ], [ 19, 49, 116 ], [ 19, 50, 93 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 53, 48 ], [ 19, 54, 48 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 57, 116 ], [ 19, 58, 7 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 61, 116 ], [ 19, 62, 7 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 65, 93 ], [ 19, 66, 93 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 69, 48 ], [ 19, 70, 7 ], [ 19, 71, 68 ], [ 19, 72, 111 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 75, 29 ], [ 19, 76, 67 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 79, 29 ], [ 19, 80, 0 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 83, 111 ], [ 19, 84, 67 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 87, 29 ], [ 19, 88, 0 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 91, 111 ], [ 19, 92, 0 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 95, 67 ], [ 19, 96, 116 ], [ 19, 97, 103 ], [ 19, 98, 46 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 101, 73 ], [ 19, 102, 73 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 105, 103 ], [ 19, 106, 16 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 109, 103 ], [ 19, 110, 16 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 113, 46 ], [ 19, 114, 46 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 117, 73 ], [ 19, 118, 16 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 1, 15 ], [ 20, 2, 8 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 5, 4 ], [ 20, 6, 19 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 9, 8 ], [ 20, 10, 4 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 13, 19 ], [ 20, 14, 15 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 17, 4 ], [ 20, 18, 19 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 21, 15 ], [ 20, 22, 8 ], [ 20, 23, 16 ], [ 20, 24, 45 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 27, 90 ], [ 20, 28, 68 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 31, 23 ], [ 20, 32, 90 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 35, 68 ], [ 20, 36, 23 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 39, 45 ], [ 20, 40, 68 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 43, 23 ], [ 20, 44, 45 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 47, 90 ], [ 20, 48, 45 ], [ 20, 49, 94 ], [ 20, 50, 119 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 53, 25 ], [ 20, 54, 0 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 57, 119 ], [ 20, 58, 25 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 61, 0 ], [ 20, 62, 94 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 65, 25 ], [ 20, 66, 0 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 69, 94 ], [ 20, 70, 119 ], [ 20, 71, 74 ], [ 20, 72, 71 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 75, 74 ], [ 20, 76, 108 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 79, 16 ], [ 20, 80, 74 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 83, 108 ], [ 20, 84, 16 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 87, 71 ], [ 20, 88, 108 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 91, 16 ], [ 20, 92, 71 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 95, 74 ], [ 20, 96, 68 ], [ 20, 97, 42 ], [ 20, 98, 104 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 101, 52 ], [ 20, 102, 7 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 105, 104 ], [ 20, 106, 52 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 109, 7 ], [ 20, 110, 42 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 113, 52 ], [ 20, 114, 7 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 117, 42 ], [ 20, 118, 104 ], [ 20, 119, 25 ], [ 21, 0, 0 ], [ 21, 1, 15 ], [ 21, 2, 0 ], [ 21, 3, 11 ], [ 21, 4, 15 ], [ 21, 5, 11 ], [ 21, 6, 19 ], [ 21, 7, 23 ], [ 21, 8, 19 ], [ 21, 9, 11 ], [ 21, 10, 23 ], [ 21, 11, 11 ], [ 21, 12, 20 ], [ 21, 13, 23 ], [ 21, 14, 20 ], [ 21, 15, 15 ], [ 21, 16, 23 ], [ 21, 17, 15 ], [ 21, 18, 20 ], [ 21, 19, 19 ], [ 21, 20, 20 ], [ 21, 21, 0 ], [ 21, 22, 19 ], [ 21, 23, 0 ], [ 21, 24, 45 ], [ 21, 25, 94 ], [ 21, 26, 45 ], [ 21, 27, 67 ], [ 21, 28, 94 ], [ 21, 29, 67 ], [ 21, 30, 19 ], [ 21, 31, 23 ], [ 21, 32, 19 ], [ 21, 33, 67 ], [ 21, 34, 23 ], [ 21, 35, 67 ], [ 21, 36, 20 ], [ 21, 37, 23 ], [ 21, 38, 20 ], [ 21, 39, 94 ], [ 21, 40, 23 ], [ 21, 41, 94 ], [ 21, 42, 20 ], [ 21, 43, 19 ], [ 21, 44, 20 ], [ 21, 45, 45 ], [ 21, 46, 19 ], [ 21, 47, 45 ], [ 21, 48, 45 ], [ 21, 49, 94 ], [ 21, 50, 45 ], [ 21, 51, 99 ], [ 21, 52, 94 ], [ 21, 53, 99 ], [ 21, 54, 0 ], [ 21, 55, 15 ], [ 21, 56, 0 ], [ 21, 57, 99 ], [ 21, 58, 15 ], [ 21, 59, 99 ], [ 21, 60, 20 ], [ 21, 61, 15 ], [ 21, 62, 20 ], [ 21, 63, 94 ], [ 21, 64, 15 ], [ 21, 65, 94 ], [ 21, 66, 20 ], [ 21, 67, 0 ], [ 21, 68, 20 ], [ 21, 69, 45 ], [ 21, 70, 0 ], [ 21, 71, 45 ], [ 21, 72, 45 ], [ 21, 73, 67 ], [ 21, 74, 45 ], [ 21, 75, 99 ], [ 21, 76, 67 ], [ 21, 77, 99 ], [ 21, 78, 0 ], [ 21, 79, 11 ], [ 21, 80, 0 ], [ 21, 81, 99 ], [ 21, 82, 11 ], [ 21, 83, 99 ], [ 21, 84, 19 ], [ 21, 85, 11 ], [ 21, 86, 19 ], [ 21, 87, 67 ], [ 21, 88, 11 ], [ 21, 89, 67 ], [ 21, 90, 19 ], [ 21, 91, 0 ], [ 21, 92, 19 ], [ 21, 93, 45 ], [ 21, 94, 0 ], [ 21, 95, 45 ], [ 21, 96, 94 ], [ 21, 97, 67 ], [ 21, 98, 94 ], [ 21, 99, 99 ], [ 21, 100, 67 ], [ 21, 101, 99 ], [ 21, 102, 15 ], [ 21, 103, 11 ], [ 21, 104, 15 ], [ 21, 105, 99 ], [ 21, 106, 11 ], [ 21, 107, 99 ], [ 21, 108, 23 ], [ 21, 109, 11 ], [ 21, 110, 23 ], [ 21, 111, 67 ], [ 21, 112, 11 ], [ 21, 113, 67 ], [ 21, 114, 23 ], [ 21, 115, 15 ], [ 21, 116, 23 ], [ 21, 117, 94 ], [ 21, 118, 15 ], [ 21, 119, 94 ], [ 22, 0, 0 ], [ 22, 1, 7 ], [ 22, 2, 12 ], [ 22, 3, 11 ], [ 22, 4, 15 ], [ 22, 5, 4 ], [ 22, 6, 7 ], [ 22, 7, 0 ], [ 22, 8, 4 ], [ 22, 9, 15 ], [ 22, 10, 11 ], [ 22, 11, 12 ], [ 22, 12, 11 ], [ 22, 13, 12 ], [ 22, 14, 15 ], [ 22, 15, 4 ], [ 22, 16, 7 ], [ 22, 17, 0 ], [ 22, 18, 4 ], [ 22, 19, 15 ], [ 22, 20, 12 ], [ 22, 21, 11 ], [ 22, 22, 0 ], [ 22, 23, 7 ], [ 22, 24, 45 ], [ 22, 25, 68 ], [ 22, 26, 93 ], [ 22, 27, 67 ], [ 22, 28, 94 ], [ 22, 29, 42 ], [ 22, 30, 68 ], [ 22, 31, 45 ], [ 22, 32, 42 ], [ 22, 33, 94 ], [ 22, 34, 67 ], [ 22, 35, 93 ], [ 22, 36, 67 ], [ 22, 37, 93 ], [ 22, 38, 94 ], [ 22, 39, 42 ], [ 22, 40, 68 ], [ 22, 41, 45 ], [ 22, 42, 42 ], [ 22, 43, 94 ], [ 22, 44, 93 ], [ 22, 45, 67 ], [ 22, 46, 45 ], [ 22, 47, 68 ], [ 22, 48, 33 ], [ 22, 49, 56 ], [ 22, 50, 107 ], [ 22, 51, 51 ], [ 22, 52, 112 ], [ 22, 53, 26 ], [ 22, 54, 56 ], [ 22, 55, 33 ], [ 22, 56, 26 ], [ 22, 57, 112 ], [ 22, 58, 51 ], [ 22, 59, 107 ], [ 22, 60, 51 ], [ 22, 61, 107 ], [ 22, 62, 112 ], [ 22, 63, 26 ], [ 22, 64, 56 ], [ 22, 65, 33 ], [ 22, 66, 26 ], [ 22, 67, 112 ], [ 22, 68, 107 ], [ 22, 69, 51 ], [ 22, 70, 33 ], [ 22, 71, 56 ], [ 22, 72, 89 ], [ 22, 73, 60 ], [ 22, 74, 119 ], [ 22, 75, 52 ], [ 22, 76, 108 ], [ 22, 77, 74 ], [ 22, 78, 60 ], [ 22, 79, 89 ], [ 22, 80, 74 ], [ 22, 81, 108 ], [ 22, 82, 52 ], [ 22, 83, 119 ], [ 22, 84, 52 ], [ 22, 85, 119 ], [ 22, 86, 108 ], [ 22, 87, 74 ], [ 22, 88, 60 ], [ 22, 89, 89 ], [ 22, 90, 74 ], [ 22, 91, 108 ], [ 22, 92, 119 ], [ 22, 93, 52 ], [ 22, 94, 89 ], [ 22, 95, 60 ], [ 22, 96, 82 ], [ 22, 97, 37 ], [ 22, 98, 116 ], [ 22, 99, 29 ], [ 22, 100, 103 ], [ 22, 101, 73 ], [ 22, 102, 37 ], [ 22, 103, 82 ], [ 22, 104, 73 ], [ 22, 105, 103 ], [ 22, 106, 29 ], [ 22, 107, 116 ], [ 22, 108, 29 ], [ 22, 109, 116 ], [ 22, 110, 103 ], [ 22, 111, 73 ], [ 22, 112, 37 ], [ 22, 113, 82 ], [ 22, 114, 73 ], [ 22, 115, 103 ], [ 22, 116, 116 ], [ 22, 117, 29 ], [ 22, 118, 82 ], [ 22, 119, 37 ], [ 23, 0, 0 ], [ 23, 1, 7 ], [ 23, 2, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 5, 16 ], [ 23, 6, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 9, 16 ], [ 23, 10, 0 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 13, 0 ], [ 23, 14, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 17, 7 ], [ 23, 18, 16 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 21, 0 ], [ 23, 22, 7 ], [ 23, 23, 0 ], [ 23, 24, 45 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 27, 90 ], [ 23, 28, 68 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 31, 45 ], [ 23, 32, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 35, 90 ], [ 23, 36, 90 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 39, 68 ], [ 23, 40, 45 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 43, 68 ], [ 23, 44, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 47, 45 ], [ 23, 48, 33 ], [ 23, 49, 56 ], [ 23, 50, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 53, 100 ], [ 23, 54, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 57, 100 ], [ 23, 58, 33 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 61, 33 ], [ 23, 62, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 65, 56 ], [ 23, 66, 100 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 69, 33 ], [ 23, 70, 56 ], [ 23, 71, 33 ], [ 23, 72, 41 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 75, 96 ], [ 23, 76, 78 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 79, 41 ], [ 23, 80, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 83, 96 ], [ 23, 84, 96 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 87, 78 ], [ 23, 88, 41 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 91, 78 ], [ 23, 92, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 95, 41 ], [ 23, 96, 64 ], [ 23, 97, 85 ], [ 23, 98, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 101, 99 ], [ 23, 102, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 105, 99 ], [ 23, 106, 64 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 109, 64 ], [ 23, 110, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 113, 85 ], [ 23, 114, 99 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 117, 64 ], [ 23, 118, 85 ], [ 23, 119, 64 ], [ 24, 0, 0 ], [ 24, 1, 0 ], [ 24, 2, 0 ], [ 24, 3, 0 ], [ 24, 4, 0 ], [ 24, 5, 0 ], [ 24, 6, 48 ], [ 24, 7, 48 ], [ 24, 8, 48 ], [ 24, 9, 48 ], [ 24, 10, 48 ], [ 24, 11, 48 ], [ 24, 12, 74 ], [ 24, 13, 74 ], [ 24, 14, 74 ], [ 24, 15, 74 ], [ 24, 16, 74 ], [ 24, 17, 74 ], [ 24, 18, 99 ], [ 24, 19, 99 ], [ 24, 20, 99 ], [ 24, 21, 99 ], [ 24, 22, 99 ], [ 24, 23, 99 ], [ 24, 24, 0 ], [ 24, 25, 0 ], [ 24, 26, 0 ], [ 24, 27, 0 ], [ 24, 28, 0 ], [ 24, 29, 0 ], [ 24, 30, 30 ], [ 24, 31, 30 ], [ 24, 32, 30 ], [ 24, 33, 30 ], [ 24, 34, 30 ], [ 24, 35, 30 ], [ 24, 36, 38 ], [ 24, 37, 38 ], [ 24, 38, 38 ], [ 24, 39, 38 ], [ 24, 40, 38 ], [ 24, 41, 38 ], [ 24, 42, 45 ], [ 24, 43, 45 ], [ 24, 44, 45 ], [ 24, 45, 45 ], [ 24, 46, 45 ], [ 24, 47, 45 ], [ 24, 48, 48 ], [ 24, 49, 48 ], [ 24, 50, 48 ], [ 24, 51, 48 ], [ 24, 52, 48 ], [ 24, 53, 48 ], [ 24, 54, 30 ], [ 24, 55, 30 ], [ 24, 56, 30 ], [ 24, 57, 30 ], [ 24, 58, 30 ], [ 24, 59, 30 ], [ 24, 60, 26 ], [ 24, 61, 26 ], [ 24, 62, 26 ], [ 24, 63, 26 ], [ 24, 64, 26 ], [ 24, 65, 26 ], [ 24, 66, 29 ], [ 24, 67, 29 ], [ 24, 68, 29 ], [ 24, 69, 29 ], [ 24, 70, 29 ], [ 24, 71, 29 ], [ 24, 72, 74 ], [ 24, 73, 74 ], [ 24, 74, 74 ], [ 24, 75, 74 ], [ 24, 76, 74 ], [ 24, 77, 74 ], [ 24, 78, 38 ], [ 24, 79, 38 ], [ 24, 80, 38 ], [ 24, 81, 38 ], [ 24, 82, 38 ], [ 24, 83, 38 ], [ 24, 84, 26 ], [ 24, 85, 26 ], [ 24, 86, 26 ], [ 24, 87, 26 ], [ 24, 88, 26 ], [ 24, 89, 26 ], [ 24, 90, 25 ], [ 24, 91, 25 ], [ 24, 92, 25 ], [ 24, 93, 25 ], [ 24, 94, 25 ], [ 24, 95, 25 ], [ 24, 96, 99 ], [ 24, 97, 99 ], [ 24, 98, 99 ], [ 24, 99, 99 ], [ 24, 100, 99 ], [ 24, 101, 99 ], [ 24, 102, 45 ], [ 24, 103, 45 ], [ 24, 104, 45 ], [ 24, 105, 45 ], [ 24, 106, 45 ], [ 24, 107, 45 ], [ 24, 108, 29 ], [ 24, 109, 29 ], [ 24, 110, 29 ], [ 24, 111, 29 ], [ 24, 112, 29 ], [ 24, 113, 29 ], [ 24, 114, 25 ], [ 24, 115, 25 ], [ 24, 116, 25 ], [ 24, 117, 25 ], [ 24, 118, 25 ], [ 24, 119, 25 ], [ 25, 0, 0 ], [ 25, 1, 0 ], [ 25, 2, 3 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 5, 4 ], [ 25, 6, 48 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 9, 63 ], [ 25, 10, 68 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 13, 100 ], [ 25, 14, 119 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 17, 108 ], [ 25, 18, 77 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 21, 94 ], [ 25, 22, 85 ], [ 25, 23, 85 ], [ 25, 24, 0 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 27, 3 ], [ 25, 28, 4 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 31, 30 ], [ 25, 32, 85 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 35, 108 ], [ 25, 36, 46 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 39, 94 ], [ 25, 40, 68 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 43, 41 ], [ 25, 44, 119 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 47, 63 ], [ 25, 48, 48 ], [ 25, 49, 48 ], [ 25, 50, 63 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 53, 68 ], [ 25, 54, 30 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 57, 85 ], [ 25, 58, 108 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 61, 41 ], [ 25, 62, 77 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 65, 4 ], [ 25, 66, 46 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 69, 100 ], [ 25, 70, 3 ], [ 25, 71, 3 ], [ 25, 72, 100 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 75, 119 ], [ 25, 76, 108 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 79, 46 ], [ 25, 80, 94 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 83, 68 ], [ 25, 84, 41 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 87, 77 ], [ 25, 88, 4 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 91, 30 ], [ 25, 92, 48 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 95, 0 ], [ 25, 96, 77 ], [ 25, 97, 77 ], [ 25, 98, 94 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 101, 85 ], [ 25, 102, 41 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 105, 119 ], [ 25, 106, 63 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 109, 46 ], [ 25, 110, 100 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 113, 3 ], [ 25, 114, 30 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 117, 48 ], [ 25, 118, 0 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 1, 4 ], [ 26, 2, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 5, 3 ], [ 26, 6, 86 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 9, 73 ], [ 26, 10, 93 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 13, 71 ], [ 26, 14, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 17, 52 ], [ 26, 18, 115 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 21, 99 ], [ 26, 22, 112 ], [ 26, 23, 99 ], [ 26, 24, 0 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 27, 3 ], [ 26, 28, 4 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 31, 115 ], [ 26, 32, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 35, 37 ], [ 26, 36, 86 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 39, 34 ], [ 26, 40, 112 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 43, 71 ], [ 26, 44, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 47, 45 ], [ 26, 48, 86 ], [ 26, 49, 93 ], [ 26, 50, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 53, 73 ], [ 26, 54, 60 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 57, 37 ], [ 26, 58, 115 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 61, 99 ], [ 26, 62, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 65, 45 ], [ 26, 66, 4 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 69, 34 ], [ 26, 70, 52 ], [ 26, 71, 34 ], [ 26, 72, 60 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 75, 52 ], [ 26, 76, 71 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 79, 112 ], [ 26, 80, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 83, 34 ], [ 26, 84, 0 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 87, 45 ], [ 26, 88, 99 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 91, 73 ], [ 26, 92, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 95, 37 ], [ 26, 96, 115 ], [ 26, 97, 112 ], [ 26, 98, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 101, 99 ], [ 26, 102, 93 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 105, 45 ], [ 26, 106, 71 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 109, 52 ], [ 26, 110, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 113, 34 ], [ 26, 114, 3 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 117, 37 ], [ 26, 118, 73 ], [ 26, 119, 37 ], [ 27, 0, 0 ], [ 27, 1, 4 ], [ 27, 2, 4 ], [ 27, 3, 0 ], [ 27, 4, 0 ], [ 27, 5, 4 ], [ 27, 6, 86 ], [ 27, 7, 93 ], [ 27, 8, 93 ], [ 27, 9, 86 ], [ 27, 10, 86 ], [ 27, 11, 93 ], [ 27, 12, 108 ], [ 27, 13, 119 ], [ 27, 14, 119 ], [ 27, 15, 108 ], [ 27, 16, 108 ], [ 27, 17, 119 ], [ 27, 18, 67 ], [ 27, 19, 64 ], [ 27, 20, 64 ], [ 27, 21, 67 ], [ 27, 22, 67 ], [ 27, 23, 64 ], [ 27, 24, 0 ], [ 27, 25, 4 ], [ 27, 26, 4 ], [ 27, 27, 0 ], [ 27, 28, 0 ], [ 27, 29, 4 ], [ 27, 30, 60 ], [ 27, 31, 115 ], [ 27, 32, 115 ], [ 27, 33, 60 ], [ 27, 34, 60 ], [ 27, 35, 115 ], [ 27, 36, 68 ], [ 27, 37, 94 ], [ 27, 38, 94 ], [ 27, 39, 68 ], [ 27, 40, 68 ], [ 27, 41, 94 ], [ 27, 42, 111 ], [ 27, 43, 89 ], [ 27, 44, 89 ], [ 27, 45, 111 ], [ 27, 46, 111 ], [ 27, 47, 89 ], [ 27, 48, 86 ], [ 27, 49, 93 ], [ 27, 50, 93 ], [ 27, 51, 86 ], [ 27, 52, 86 ], [ 27, 53, 93 ], [ 27, 54, 60 ], [ 27, 55, 115 ], [ 27, 56, 115 ], [ 27, 57, 60 ], [ 27, 58, 60 ], [ 27, 59, 115 ], [ 27, 60, 59 ], [ 27, 61, 11 ], [ 27, 62, 11 ], [ 27, 63, 59 ], [ 27, 64, 59 ], [ 27, 65, 11 ], [ 27, 66, 104 ], [ 27, 67, 20 ], [ 27, 68, 20 ], [ 27, 69, 104 ], [ 27, 70, 104 ], [ 27, 71, 20 ], [ 27, 72, 108 ], [ 27, 73, 119 ], [ 27, 74, 119 ], [ 27, 75, 108 ], [ 27, 76, 108 ], [ 27, 77, 119 ], [ 27, 78, 68 ], [ 27, 79, 94 ], [ 27, 80, 94 ], [ 27, 81, 68 ], [ 27, 82, 68 ], [ 27, 83, 94 ], [ 27, 84, 59 ], [ 27, 85, 11 ], [ 27, 86, 11 ], [ 27, 87, 59 ], [ 27, 88, 59 ], [ 27, 89, 11 ], [ 27, 90, 78 ], [ 27, 91, 12 ], [ 27, 92, 12 ], [ 27, 93, 78 ], [ 27, 94, 78 ], [ 27, 95, 12 ], [ 27, 96, 67 ], [ 27, 97, 64 ], [ 27, 98, 64 ], [ 27, 99, 67 ], [ 27, 100, 67 ], [ 27, 101, 64 ], [ 27, 102, 111 ], [ 27, 103, 89 ], [ 27, 104, 89 ], [ 27, 105, 111 ], [ 27, 106, 111 ], [ 27, 107, 89 ], [ 27, 108, 104 ], [ 27, 109, 20 ], [ 27, 110, 20 ], [ 27, 111, 104 ], [ 27, 112, 104 ], [ 27, 113, 20 ], [ 27, 114, 78 ], [ 27, 115, 12 ], [ 27, 116, 12 ], [ 27, 117, 78 ], [ 27, 118, 78 ], [ 27, 119, 12 ], [ 28, 0, 0 ], [ 28, 1, 3 ], [ 28, 2, 3 ], [ 28, 3, 0 ], [ 28, 4, 0 ], [ 28, 5, 3 ], [ 28, 6, 111 ], [ 28, 7, 116 ], [ 28, 8, 116 ], [ 28, 9, 111 ], [ 28, 10, 111 ], [ 28, 11, 116 ], [ 28, 12, 71 ], [ 28, 13, 60 ], [ 28, 14, 60 ], [ 28, 15, 71 ], [ 28, 16, 71 ], [ 28, 17, 60 ], [ 28, 18, 94 ], [ 28, 19, 85 ], [ 28, 20, 85 ], [ 28, 21, 94 ], [ 28, 22, 94 ], [ 28, 23, 85 ], [ 28, 24, 0 ], [ 28, 25, 3 ], [ 28, 26, 3 ], [ 28, 27, 0 ], [ 28, 28, 0 ], [ 28, 29, 3 ], [ 28, 30, 67 ], [ 28, 31, 90 ], [ 28, 32, 90 ], [ 28, 33, 67 ], [ 28, 34, 67 ], [ 28, 35, 90 ], [ 28, 36, 112 ], [ 28, 37, 86 ], [ 28, 38, 86 ], [ 28, 39, 112 ], [ 28, 40, 112 ], [ 28, 41, 86 ], [ 28, 42, 119 ], [ 28, 43, 63 ], [ 28, 44, 63 ], [ 28, 45, 119 ], [ 28, 46, 119 ], [ 28, 47, 63 ], [ 28, 48, 111 ], [ 28, 49, 116 ], [ 28, 50, 116 ], [ 28, 51, 111 ], [ 28, 52, 111 ], [ 28, 53, 116 ], [ 28, 54, 67 ], [ 28, 55, 90 ], [ 28, 56, 90 ], [ 28, 57, 67 ], [ 28, 58, 67 ], [ 28, 59, 90 ], [ 28, 60, 15 ], [ 28, 61, 81 ], [ 28, 62, 81 ], [ 28, 63, 15 ], [ 28, 64, 15 ], [ 28, 65, 81 ], [ 28, 66, 8 ], [ 28, 67, 56 ], [ 28, 68, 56 ], [ 28, 69, 8 ], [ 28, 70, 8 ], [ 28, 71, 56 ], [ 28, 72, 71 ], [ 28, 73, 60 ], [ 28, 74, 60 ], [ 28, 75, 71 ], [ 28, 76, 71 ], [ 28, 77, 60 ], [ 28, 78, 112 ], [ 28, 79, 86 ], [ 28, 80, 86 ], [ 28, 81, 112 ], [ 28, 82, 112 ], [ 28, 83, 86 ], [ 28, 84, 15 ], [ 28, 85, 81 ], [ 28, 86, 81 ], [ 28, 87, 15 ], [ 28, 88, 15 ], [ 28, 89, 81 ], [ 28, 90, 19 ], [ 28, 91, 103 ], [ 28, 92, 103 ], [ 28, 93, 19 ], [ 28, 94, 19 ], [ 28, 95, 103 ], [ 28, 96, 94 ], [ 28, 97, 85 ], [ 28, 98, 85 ], [ 28, 99, 94 ], [ 28, 100, 94 ], [ 28, 101, 85 ], [ 28, 102, 119 ], [ 28, 103, 63 ], [ 28, 104, 63 ], [ 28, 105, 119 ], [ 28, 106, 119 ], [ 28, 107, 63 ], [ 28, 108, 8 ], [ 28, 109, 56 ], [ 28, 110, 56 ], [ 28, 111, 8 ], [ 28, 112, 8 ], [ 28, 113, 56 ], [ 28, 114, 19 ], [ 28, 115, 103 ], [ 28, 116, 103 ], [ 28, 117, 19 ], [ 28, 118, 19 ], [ 28, 119, 103 ], [ 29, 0, 0 ], [ 29, 1, 3 ], [ 29, 2, 4 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 5, 0 ], [ 29, 6, 111 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 9, 116 ], [ 29, 10, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 13, 90 ], [ 29, 14, 74 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 17, 89 ], [ 29, 18, 64 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 21, 67 ], [ 29, 22, 51 ], [ 29, 23, 64 ], [ 29, 24, 0 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 27, 3 ], [ 29, 28, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 31, 90 ], [ 29, 32, 42 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 35, 67 ], [ 29, 36, 64 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 39, 116 ], [ 29, 40, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 43, 111 ], [ 29, 44, 33 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 47, 89 ], [ 29, 48, 111 ], [ 29, 49, 116 ], [ 29, 50, 96 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 53, 111 ], [ 29, 54, 67 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 57, 90 ], [ 29, 58, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 61, 3 ], [ 29, 62, 33 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 65, 51 ], [ 29, 66, 74 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 69, 0 ], [ 29, 70, 38 ], [ 29, 71, 74 ], [ 29, 72, 89 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 75, 90 ], [ 29, 76, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 79, 116 ], [ 29, 80, 38 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 83, 64 ], [ 29, 84, 51 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 87, 3 ], [ 29, 88, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 91, 4 ], [ 29, 92, 42 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 95, 96 ], [ 29, 96, 64 ], [ 29, 97, 67 ], [ 29, 98, 51 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 101, 64 ], [ 29, 102, 89 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 105, 111 ], [ 29, 106, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 109, 0 ], [ 29, 110, 38 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 113, 74 ], [ 29, 114, 96 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 117, 4 ], [ 29, 118, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 1, 0 ], [ 30, 2, 78 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 5, 103 ], [ 30, 6, 48 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 9, 86 ], [ 30, 10, 111 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 13, 60 ], [ 30, 14, 8 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 17, 108 ], [ 30, 18, 67 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 21, 11 ], [ 30, 22, 85 ], [ 30, 23, 85 ], [ 30, 24, 48 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 27, 60 ], [ 30, 28, 67 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 31, 0 ], [ 30, 32, 38 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 35, 45 ], [ 30, 36, 78 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 39, 26 ], [ 30, 40, 42 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 43, 103 ], [ 30, 44, 29 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 47, 37 ], [ 30, 48, 0 ], [ 30, 49, 0 ], [ 30, 50, 8 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 53, 11 ], [ 30, 54, 48 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 57, 26 ], [ 30, 58, 29 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 61, 86 ], [ 30, 62, 38 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 65, 34 ], [ 30, 66, 111 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 69, 45 ], [ 30, 70, 33 ], [ 30, 71, 33 ], [ 30, 72, 78 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 75, 86 ], [ 30, 76, 85 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 79, 60 ], [ 30, 80, 38 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 83, 37 ], [ 30, 84, 8 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 87, 26 ], [ 30, 88, 33 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 91, 108 ], [ 30, 92, 42 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 95, 34 ], [ 30, 96, 103 ], [ 30, 97, 103 ], [ 30, 98, 111 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 101, 108 ], [ 30, 102, 67 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 105, 45 ], [ 30, 106, 42 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 109, 11 ], [ 30, 110, 29 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 113, 34 ], [ 30, 114, 85 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 117, 37 ], [ 30, 118, 33 ], [ 30, 119, 33 ], [ 31, 0, 0 ], [ 31, 1, 0 ], [ 31, 2, 107 ], [ 31, 3, 107 ], [ 31, 4, 82 ], [ 31, 5, 82 ], [ 31, 6, 48 ], [ 31, 7, 48 ], [ 31, 8, 116 ], [ 31, 9, 116 ], [ 31, 10, 93 ], [ 31, 11, 93 ], [ 31, 12, 71 ], [ 31, 13, 71 ], [ 31, 14, 16 ], [ 31, 15, 16 ], [ 31, 16, 74 ], [ 31, 17, 74 ], [ 31, 18, 64 ], [ 31, 19, 64 ], [ 31, 20, 23 ], [ 31, 21, 23 ], [ 31, 22, 99 ], [ 31, 23, 99 ], [ 31, 24, 48 ], [ 31, 25, 48 ], [ 31, 26, 71 ], [ 31, 27, 71 ], [ 31, 28, 64 ], [ 31, 29, 64 ], [ 31, 30, 0 ], [ 31, 31, 0 ], [ 31, 32, 94 ], [ 31, 33, 94 ], [ 31, 34, 119 ], [ 31, 35, 119 ], [ 31, 36, 107 ], [ 31, 37, 107 ], [ 31, 38, 77 ], [ 31, 39, 77 ], [ 31, 40, 12 ], [ 31, 41, 12 ], [ 31, 42, 82 ], [ 31, 43, 82 ], [ 31, 44, 100 ], [ 31, 45, 100 ], [ 31, 46, 19 ], [ 31, 47, 19 ], [ 31, 48, 0 ], [ 31, 49, 0 ], [ 31, 50, 16 ], [ 31, 51, 16 ], [ 31, 52, 23 ], [ 31, 53, 23 ], [ 31, 54, 48 ], [ 31, 55, 48 ], [ 31, 56, 77 ], [ 31, 57, 77 ], [ 31, 58, 100 ], [ 31, 59, 100 ], [ 31, 60, 116 ], [ 31, 61, 116 ], [ 31, 62, 94 ], [ 31, 63, 94 ], [ 31, 64, 56 ], [ 31, 65, 56 ], [ 31, 66, 93 ], [ 31, 67, 93 ], [ 31, 68, 119 ], [ 31, 69, 119 ], [ 31, 70, 59 ], [ 31, 71, 59 ], [ 31, 72, 107 ], [ 31, 73, 107 ], [ 31, 74, 116 ], [ 31, 75, 116 ], [ 31, 76, 99 ], [ 31, 77, 99 ], [ 31, 78, 71 ], [ 31, 79, 71 ], [ 31, 80, 94 ], [ 31, 81, 94 ], [ 31, 82, 19 ], [ 31, 83, 19 ], [ 31, 84, 16 ], [ 31, 85, 16 ], [ 31, 86, 77 ], [ 31, 87, 77 ], [ 31, 88, 59 ], [ 31, 89, 59 ], [ 31, 90, 74 ], [ 31, 91, 74 ], [ 31, 92, 12 ], [ 31, 93, 12 ], [ 31, 94, 56 ], [ 31, 95, 56 ], [ 31, 96, 82 ], [ 31, 97, 82 ], [ 31, 98, 93 ], [ 31, 99, 93 ], [ 31, 100, 74 ], [ 31, 101, 74 ], [ 31, 102, 64 ], [ 31, 103, 64 ], [ 31, 104, 119 ], [ 31, 105, 119 ], [ 31, 106, 12 ], [ 31, 107, 12 ], [ 31, 108, 23 ], [ 31, 109, 23 ], [ 31, 110, 100 ], [ 31, 111, 100 ], [ 31, 112, 56 ], [ 31, 113, 56 ], [ 31, 114, 99 ], [ 31, 115, 99 ], [ 31, 116, 19 ], [ 31, 117, 19 ], [ 31, 118, 59 ], [ 31, 119, 59 ], [ 32, 0, 0 ], [ 32, 1, 104 ], [ 32, 2, 78 ], [ 32, 3, 107 ], [ 32, 4, 82 ], [ 32, 5, 3 ], [ 32, 6, 12 ], [ 32, 7, 116 ], [ 32, 8, 48 ], [ 32, 9, 111 ], [ 32, 10, 68 ], [ 32, 11, 7 ], [ 32, 12, 74 ], [ 32, 13, 100 ], [ 32, 14, 60 ], [ 32, 15, 108 ], [ 32, 16, 71 ], [ 32, 17, 89 ], [ 32, 18, 94 ], [ 32, 19, 23 ], [ 32, 20, 64 ], [ 32, 21, 11 ], [ 32, 22, 51 ], [ 32, 23, 85 ], [ 32, 24, 48 ], [ 32, 25, 68 ], [ 32, 26, 60 ], [ 32, 27, 71 ], [ 32, 28, 64 ], [ 32, 29, 51 ], [ 32, 30, 74 ], [ 32, 31, 94 ], [ 32, 32, 0 ], [ 32, 33, 45 ], [ 32, 34, 104 ], [ 32, 35, 25 ], [ 32, 36, 12 ], [ 32, 37, 23 ], [ 32, 38, 78 ], [ 32, 39, 42 ], [ 32, 40, 107 ], [ 32, 41, 41 ], [ 32, 42, 116 ], [ 32, 43, 100 ], [ 32, 44, 82 ], [ 32, 45, 29 ], [ 32, 46, 3 ], [ 32, 47, 37 ], [ 32, 48, 78 ], [ 32, 49, 82 ], [ 32, 50, 74 ], [ 32, 51, 89 ], [ 32, 52, 94 ], [ 32, 53, 85 ], [ 32, 54, 60 ], [ 32, 55, 64 ], [ 32, 56, 12 ], [ 32, 57, 41 ], [ 32, 58, 116 ], [ 32, 59, 37 ], [ 32, 60, 0 ], [ 32, 61, 11 ], [ 32, 62, 48 ], [ 32, 63, 29 ], [ 32, 64, 111 ], [ 32, 65, 45 ], [ 32, 66, 104 ], [ 32, 67, 108 ], [ 32, 68, 68 ], [ 32, 69, 42 ], [ 32, 70, 7 ], [ 32, 71, 25 ], [ 32, 72, 0 ], [ 32, 73, 3 ], [ 32, 74, 12 ], [ 32, 75, 7 ], [ 32, 76, 23 ], [ 32, 77, 11 ], [ 32, 78, 48 ], [ 32, 79, 51 ], [ 32, 80, 74 ], [ 32, 81, 25 ], [ 32, 82, 100 ], [ 32, 83, 29 ], [ 32, 84, 78 ], [ 32, 85, 85 ], [ 32, 86, 60 ], [ 32, 87, 37 ], [ 32, 88, 108 ], [ 32, 89, 42 ], [ 32, 90, 107 ], [ 32, 91, 111 ], [ 32, 92, 71 ], [ 32, 93, 45 ], [ 32, 94, 89 ], [ 32, 95, 41 ], [ 32, 96, 104 ], [ 32, 97, 107 ], [ 32, 98, 116 ], [ 32, 99, 111 ], [ 32, 100, 100 ], [ 32, 101, 108 ], [ 32, 102, 68 ], [ 32, 103, 71 ], [ 32, 104, 94 ], [ 32, 105, 45 ], [ 32, 106, 23 ], [ 32, 107, 42 ], [ 32, 108, 82 ], [ 32, 109, 89 ], [ 32, 110, 64 ], [ 32, 111, 41 ], [ 32, 112, 11 ], [ 32, 113, 29 ], [ 32, 114, 3 ], [ 32, 115, 7 ], [ 32, 116, 51 ], [ 32, 117, 25 ], [ 32, 118, 85 ], [ 32, 119, 37 ], [ 33, 0, 0 ], [ 33, 1, 104 ], [ 33, 2, 4 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 5, 82 ], [ 33, 6, 12 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 9, 48 ], [ 33, 10, 96 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 13, 90 ], [ 33, 14, 16 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 17, 60 ], [ 33, 18, 99 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 21, 67 ], [ 33, 22, 94 ], [ 33, 23, 64 ], [ 33, 24, 48 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 27, 60 ], [ 33, 28, 67 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 31, 94 ], [ 33, 32, 99 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 35, 104 ], [ 33, 36, 96 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 39, 4 ], [ 33, 40, 12 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 43, 16 ], [ 33, 44, 90 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 47, 82 ], [ 33, 48, 78 ], [ 33, 49, 82 ], [ 33, 50, 90 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 53, 94 ], [ 33, 54, 60 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 57, 12 ], [ 33, 58, 16 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 61, 99 ], [ 33, 62, 67 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 65, 48 ], [ 33, 66, 4 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 69, 96 ], [ 33, 70, 104 ], [ 33, 71, 68 ], [ 33, 72, 104 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 75, 96 ], [ 33, 76, 99 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 79, 67 ], [ 33, 80, 94 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 83, 90 ], [ 33, 84, 82 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 87, 16 ], [ 33, 88, 4 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 91, 12 ], [ 33, 92, 48 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 95, 60 ], [ 33, 96, 0 ], [ 33, 97, 4 ], [ 33, 98, 12 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 101, 16 ], [ 33, 102, 48 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 105, 99 ], [ 33, 106, 96 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 109, 90 ], [ 33, 110, 60 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 113, 67 ], [ 33, 114, 104 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 117, 94 ], [ 33, 118, 82 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 1, 81 ], [ 34, 2, 107 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 5, 3 ], [ 34, 6, 19 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 9, 73 ], [ 34, 10, 48 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 13, 74 ], [ 34, 14, 60 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 17, 119 ], [ 34, 18, 115 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 21, 23 ], [ 34, 22, 67 ], [ 34, 23, 99 ], [ 34, 24, 48 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 27, 60 ], [ 34, 28, 67 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 31, 119 ], [ 34, 32, 81 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 35, 74 ], [ 34, 36, 23 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 39, 115 ], [ 34, 40, 107 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 43, 73 ], [ 34, 44, 3 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 47, 19 ], [ 34, 48, 103 ], [ 34, 49, 107 ], [ 34, 50, 119 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 53, 115 ], [ 34, 54, 67 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 57, 23 ], [ 34, 58, 19 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 61, 3 ], [ 34, 62, 73 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 65, 81 ], [ 34, 66, 74 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 69, 60 ], [ 34, 70, 48 ], [ 34, 71, 0 ], [ 34, 72, 3 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 75, 19 ], [ 34, 76, 23 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 79, 48 ], [ 34, 80, 74 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 83, 73 ], [ 34, 84, 115 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 87, 67 ], [ 34, 88, 60 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 91, 81 ], [ 34, 92, 119 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 95, 107 ], [ 34, 96, 78 ], [ 34, 97, 81 ], [ 34, 98, 73 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 101, 74 ], [ 34, 102, 60 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 105, 119 ], [ 34, 106, 115 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 109, 107 ], [ 34, 110, 23 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 113, 3 ], [ 34, 114, 19 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 117, 48 ], [ 34, 118, 67 ], [ 34, 119, 103 ], [ 35, 0, 0 ], [ 35, 1, 81 ], [ 35, 2, 4 ], [ 35, 3, 107 ], [ 35, 4, 82 ], [ 35, 5, 103 ], [ 35, 6, 19 ], [ 35, 7, 93 ], [ 35, 8, 7 ], [ 35, 9, 63 ], [ 35, 10, 86 ], [ 35, 11, 48 ], [ 35, 12, 16 ], [ 35, 13, 119 ], [ 35, 14, 8 ], [ 35, 15, 71 ], [ 35, 16, 108 ], [ 35, 17, 52 ], [ 35, 18, 77 ], [ 35, 19, 99 ], [ 35, 20, 85 ], [ 35, 21, 67 ], [ 35, 22, 112 ], [ 35, 23, 64 ], [ 35, 24, 48 ], [ 35, 25, 63 ], [ 35, 26, 52 ], [ 35, 27, 71 ], [ 35, 28, 64 ], [ 35, 29, 67 ], [ 35, 30, 99 ], [ 35, 31, 119 ], [ 35, 32, 25 ], [ 35, 33, 81 ], [ 35, 34, 38 ], [ 35, 35, 0 ], [ 35, 36, 77 ], [ 35, 37, 93 ], [ 35, 38, 26 ], [ 35, 39, 107 ], [ 35, 40, 42 ], [ 35, 41, 4 ], [ 35, 42, 16 ], [ 35, 43, 19 ], [ 35, 44, 37 ], [ 35, 45, 103 ], [ 35, 46, 46 ], [ 35, 47, 82 ], [ 35, 48, 103 ], [ 35, 49, 107 ], [ 35, 50, 108 ], [ 35, 51, 119 ], [ 35, 52, 112 ], [ 35, 53, 99 ], [ 35, 54, 67 ], [ 35, 55, 71 ], [ 35, 56, 42 ], [ 35, 57, 93 ], [ 35, 58, 46 ], [ 35, 59, 19 ], [ 35, 60, 85 ], [ 35, 61, 81 ], [ 35, 62, 37 ], [ 35, 63, 63 ], [ 35, 64, 25 ], [ 35, 65, 7 ], [ 35, 66, 8 ], [ 35, 67, 0 ], [ 35, 68, 26 ], [ 35, 69, 48 ], [ 35, 70, 38 ], [ 35, 71, 86 ], [ 35, 72, 82 ], [ 35, 73, 81 ], [ 35, 74, 86 ], [ 35, 75, 93 ], [ 35, 76, 85 ], [ 35, 77, 77 ], [ 35, 78, 64 ], [ 35, 79, 63 ], [ 35, 80, 38 ], [ 35, 81, 119 ], [ 35, 82, 37 ], [ 35, 83, 16 ], [ 35, 84, 112 ], [ 35, 85, 107 ], [ 35, 86, 46 ], [ 35, 87, 71 ], [ 35, 88, 26 ], [ 35, 89, 8 ], [ 35, 90, 7 ], [ 35, 91, 4 ], [ 35, 92, 25 ], [ 35, 93, 52 ], [ 35, 94, 42 ], [ 35, 95, 108 ], [ 35, 96, 4 ], [ 35, 97, 0 ], [ 35, 98, 7 ], [ 35, 99, 19 ], [ 35, 100, 8 ], [ 35, 101, 16 ], [ 35, 102, 52 ], [ 35, 103, 48 ], [ 35, 104, 25 ], [ 35, 105, 99 ], [ 35, 106, 26 ], [ 35, 107, 77 ], [ 35, 108, 108 ], [ 35, 109, 103 ], [ 35, 110, 42 ], [ 35, 111, 67 ], [ 35, 112, 37 ], [ 35, 113, 85 ], [ 35, 114, 86 ], [ 35, 115, 82 ], [ 35, 116, 38 ], [ 35, 117, 64 ], [ 35, 118, 46 ], [ 35, 119, 112 ], [ 36, 0, 0 ], [ 36, 1, 4 ], [ 36, 2, 56 ], [ 36, 3, 55 ], [ 36, 4, 107 ], [ 36, 5, 103 ], [ 36, 6, 86 ], [ 36, 7, 93 ], [ 36, 8, 48 ], [ 36, 9, 63 ], [ 36, 10, 96 ], [ 36, 11, 116 ], [ 36, 12, 74 ], [ 36, 13, 90 ], [ 36, 14, 8 ], [ 36, 15, 16 ], [ 36, 16, 108 ], [ 36, 17, 119 ], [ 36, 18, 77 ], [ 36, 19, 85 ], [ 36, 20, 23 ], [ 36, 21, 15 ], [ 36, 22, 67 ], [ 36, 23, 64 ], [ 36, 24, 74 ], [ 36, 25, 77 ], [ 36, 26, 86 ], [ 36, 27, 85 ], [ 36, 28, 93 ], [ 36, 29, 90 ], [ 36, 30, 56 ], [ 36, 31, 107 ], [ 36, 32, 8 ], [ 36, 33, 33 ], [ 36, 34, 23 ], [ 36, 35, 46 ], [ 36, 36, 0 ], [ 36, 37, 103 ], [ 36, 38, 48 ], [ 36, 39, 29 ], [ 36, 40, 67 ], [ 36, 41, 45 ], [ 36, 42, 4 ], [ 36, 43, 55 ], [ 36, 44, 96 ], [ 36, 45, 25 ], [ 36, 46, 108 ], [ 36, 47, 34 ], [ 36, 48, 8 ], [ 36, 49, 23 ], [ 36, 50, 0 ], [ 36, 51, 15 ], [ 36, 52, 4 ], [ 36, 53, 16 ], [ 36, 54, 48 ], [ 36, 55, 96 ], [ 36, 56, 74 ], [ 36, 57, 25 ], [ 36, 58, 77 ], [ 36, 59, 29 ], [ 36, 60, 86 ], [ 36, 61, 116 ], [ 36, 62, 56 ], [ 36, 63, 46 ], [ 36, 64, 64 ], [ 36, 65, 34 ], [ 36, 66, 93 ], [ 36, 67, 63 ], [ 36, 68, 107 ], [ 36, 69, 33 ], [ 36, 70, 119 ], [ 36, 71, 45 ], [ 36, 72, 48 ], [ 36, 73, 67 ], [ 36, 74, 56 ], [ 36, 75, 64 ], [ 36, 76, 55 ], [ 36, 77, 63 ], [ 36, 78, 8 ], [ 36, 79, 108 ], [ 36, 80, 86 ], [ 36, 81, 34 ], [ 36, 82, 85 ], [ 36, 83, 33 ], [ 36, 84, 74 ], [ 36, 85, 119 ], [ 36, 86, 0 ], [ 36, 87, 45 ], [ 36, 88, 15 ], [ 36, 89, 25 ], [ 36, 90, 90 ], [ 36, 91, 16 ], [ 36, 92, 103 ], [ 36, 93, 29 ], [ 36, 94, 116 ], [ 36, 95, 46 ], [ 36, 96, 96 ], [ 36, 97, 108 ], [ 36, 98, 107 ], [ 36, 99, 119 ], [ 36, 100, 103 ], [ 36, 101, 116 ], [ 36, 102, 23 ], [ 36, 103, 67 ], [ 36, 104, 93 ], [ 36, 105, 45 ], [ 36, 106, 90 ], [ 36, 107, 46 ], [ 36, 108, 77 ], [ 36, 109, 64 ], [ 36, 110, 4 ], [ 36, 111, 34 ], [ 36, 112, 16 ], [ 36, 113, 29 ], [ 36, 114, 85 ], [ 36, 115, 15 ], [ 36, 116, 55 ], [ 36, 117, 25 ], [ 36, 118, 63 ], [ 36, 119, 33 ], [ 37, 0, 0 ], [ 37, 1, 4 ], [ 37, 2, 107 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 5, 59 ], [ 37, 6, 86 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 9, 111 ], [ 37, 10, 48 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 13, 74 ], [ 37, 14, 20 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 17, 52 ], [ 37, 18, 94 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 21, 23 ], [ 37, 22, 112 ], [ 37, 23, 99 ], [ 37, 24, 74 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 27, 94 ], [ 37, 28, 86 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 31, 107 ], [ 37, 32, 23 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 35, 112 ], [ 37, 36, 59 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 39, 48 ], [ 37, 40, 111 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 43, 4 ], [ 37, 44, 52 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 47, 20 ], [ 37, 48, 8 ], [ 37, 49, 23 ], [ 37, 50, 4 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 53, 20 ], [ 37, 54, 48 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 57, 52 ], [ 37, 58, 74 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 61, 86 ], [ 37, 62, 112 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 65, 94 ], [ 37, 66, 111 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 69, 107 ], [ 37, 70, 59 ], [ 37, 71, 89 ], [ 37, 72, 111 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 75, 112 ], [ 37, 76, 107 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 79, 20 ], [ 37, 80, 94 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 83, 23 ], [ 37, 84, 52 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 87, 59 ], [ 37, 88, 4 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 91, 74 ], [ 37, 92, 48 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 95, 86 ], [ 37, 96, 68 ], [ 37, 97, 52 ], [ 37, 98, 59 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 101, 48 ], [ 37, 102, 112 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 105, 111 ], [ 37, 106, 86 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 109, 94 ], [ 37, 110, 20 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 113, 74 ], [ 37, 114, 23 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 117, 4 ], [ 37, 118, 107 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 1, 104 ], [ 38, 2, 56 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 5, 0 ], [ 38, 6, 12 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 9, 116 ], [ 38, 10, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 13, 119 ], [ 38, 14, 74 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 17, 60 ], [ 38, 18, 64 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 21, 15 ], [ 38, 22, 94 ], [ 38, 23, 64 ], [ 38, 24, 74 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 27, 94 ], [ 38, 28, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 31, 46 ], [ 38, 32, 56 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 35, 26 ], [ 38, 36, 30 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 39, 45 ], [ 38, 40, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 43, 25 ], [ 38, 44, 104 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 47, 34 ], [ 38, 48, 60 ], [ 38, 49, 64 ], [ 38, 50, 56 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 53, 60 ], [ 38, 54, 30 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 57, 34 ], [ 38, 58, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 61, 41 ], [ 38, 62, 12 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 65, 26 ], [ 38, 66, 46 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 69, 37 ], [ 38, 70, 116 ], [ 38, 71, 46 ], [ 38, 72, 12 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 75, 15 ], [ 38, 76, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 79, 25 ], [ 38, 80, 74 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 83, 26 ], [ 38, 84, 30 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 87, 37 ], [ 38, 88, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 91, 41 ], [ 38, 92, 119 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 95, 45 ], [ 38, 96, 116 ], [ 38, 97, 119 ], [ 38, 98, 104 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 101, 116 ], [ 38, 102, 46 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 105, 45 ], [ 38, 106, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 109, 41 ], [ 38, 110, 64 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 113, 34 ], [ 38, 114, 25 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 117, 37 ], [ 38, 118, 15 ], [ 38, 119, 25 ], [ 39, 0, 0 ], [ 39, 1, 104 ], [ 39, 2, 3 ], [ 39, 3, 55 ], [ 39, 4, 107 ], [ 39, 5, 59 ], [ 39, 6, 12 ], [ 39, 7, 116 ], [ 39, 8, 7 ], [ 39, 9, 73 ], [ 39, 10, 111 ], [ 39, 11, 93 ], [ 39, 12, 16 ], [ 39, 13, 60 ], [ 39, 14, 20 ], [ 39, 15, 74 ], [ 39, 16, 71 ], [ 39, 17, 89 ], [ 39, 18, 115 ], [ 39, 19, 64 ], [ 39, 20, 99 ], [ 39, 21, 94 ], [ 39, 22, 51 ], [ 39, 23, 85 ], [ 39, 24, 74 ], [ 39, 25, 94 ], [ 39, 26, 73 ], [ 39, 27, 85 ], [ 39, 28, 93 ], [ 39, 29, 89 ], [ 39, 30, 26 ], [ 39, 31, 46 ], [ 39, 32, 51 ], [ 39, 33, 3 ], [ 39, 34, 71 ], [ 39, 35, 107 ], [ 39, 36, 29 ], [ 39, 37, 30 ], [ 39, 38, 99 ], [ 39, 39, 0 ], [ 39, 40, 111 ], [ 39, 41, 59 ], [ 39, 42, 42 ], [ 39, 43, 34 ], [ 39, 44, 20 ], [ 39, 45, 104 ], [ 39, 46, 7 ], [ 39, 47, 55 ], [ 39, 48, 60 ], [ 39, 49, 64 ], [ 39, 50, 55 ], [ 39, 51, 51 ], [ 39, 52, 59 ], [ 39, 53, 71 ], [ 39, 54, 30 ], [ 39, 55, 34 ], [ 39, 56, 85 ], [ 39, 57, 7 ], [ 39, 58, 89 ], [ 39, 59, 111 ], [ 39, 60, 42 ], [ 39, 61, 26 ], [ 39, 62, 115 ], [ 39, 63, 12 ], [ 39, 64, 107 ], [ 39, 65, 93 ], [ 39, 66, 29 ], [ 39, 67, 46 ], [ 39, 68, 16 ], [ 39, 69, 116 ], [ 39, 70, 3 ], [ 39, 71, 73 ], [ 39, 72, 116 ], [ 39, 73, 115 ], [ 39, 74, 104 ], [ 39, 75, 99 ], [ 39, 76, 107 ], [ 39, 77, 111 ], [ 39, 78, 46 ], [ 39, 79, 42 ], [ 39, 80, 94 ], [ 39, 81, 20 ], [ 39, 82, 93 ], [ 39, 83, 71 ], [ 39, 84, 34 ], [ 39, 85, 29 ], [ 39, 86, 64 ], [ 39, 87, 16 ], [ 39, 88, 59 ], [ 39, 89, 89 ], [ 39, 90, 26 ], [ 39, 91, 30 ], [ 39, 92, 12 ], [ 39, 93, 60 ], [ 39, 94, 0 ], [ 39, 95, 74 ], [ 39, 96, 12 ], [ 39, 97, 16 ], [ 39, 98, 0 ], [ 39, 99, 20 ], [ 39, 100, 3 ], [ 39, 101, 7 ], [ 39, 102, 26 ], [ 39, 103, 29 ], [ 39, 104, 74 ], [ 39, 105, 99 ], [ 39, 106, 73 ], [ 39, 107, 51 ], [ 39, 108, 30 ], [ 39, 109, 42 ], [ 39, 110, 60 ], [ 39, 111, 115 ], [ 39, 112, 55 ], [ 39, 113, 85 ], [ 39, 114, 46 ], [ 39, 115, 34 ], [ 39, 116, 116 ], [ 39, 117, 64 ], [ 39, 118, 104 ], [ 39, 119, 94 ], [ 40, 0, 0 ], [ 40, 1, 55 ], [ 40, 2, 107 ], [ 40, 3, 55 ], [ 40, 4, 107 ], [ 40, 5, 0 ], [ 40, 6, 7 ], [ 40, 7, 48 ], [ 40, 8, 93 ], [ 40, 9, 48 ], [ 40, 10, 93 ], [ 40, 11, 7 ], [ 40, 12, 108 ], [ 40, 13, 71 ], [ 40, 14, 74 ], [ 40, 15, 71 ], [ 40, 16, 74 ], [ 40, 17, 108 ], [ 40, 18, 99 ], [ 40, 19, 23 ], [ 40, 20, 85 ], [ 40, 21, 23 ], [ 40, 22, 85 ], [ 40, 23, 99 ], [ 40, 24, 74 ], [ 40, 25, 85 ], [ 40, 26, 93 ], [ 40, 27, 85 ], [ 40, 28, 93 ], [ 40, 29, 74 ], [ 40, 30, 51 ], [ 40, 31, 8 ], [ 40, 32, 107 ], [ 40, 33, 8 ], [ 40, 34, 107 ], [ 40, 35, 51 ], [ 40, 36, 67 ], [ 40, 37, 111 ], [ 40, 38, 0 ], [ 40, 39, 111 ], [ 40, 40, 0 ], [ 40, 41, 67 ], [ 40, 42, 20 ], [ 40, 43, 96 ], [ 40, 44, 55 ], [ 40, 45, 96 ], [ 40, 46, 55 ], [ 40, 47, 20 ], [ 40, 48, 108 ], [ 40, 49, 99 ], [ 40, 50, 107 ], [ 40, 51, 99 ], [ 40, 52, 107 ], [ 40, 53, 108 ], [ 40, 54, 67 ], [ 40, 55, 20 ], [ 40, 56, 93 ], [ 40, 57, 20 ], [ 40, 58, 93 ], [ 40, 59, 67 ], [ 40, 60, 51 ], [ 40, 61, 81 ], [ 40, 62, 7 ], [ 40, 63, 81 ], [ 40, 64, 7 ], [ 40, 65, 51 ], [ 40, 66, 8 ], [ 40, 67, 78 ], [ 40, 68, 48 ], [ 40, 69, 78 ], [ 40, 70, 48 ], [ 40, 71, 8 ], [ 40, 72, 7 ], [ 40, 73, 23 ], [ 40, 74, 0 ], [ 40, 75, 23 ], [ 40, 76, 0 ], [ 40, 77, 7 ], [ 40, 78, 51 ], [ 40, 79, 96 ], [ 40, 80, 74 ], [ 40, 81, 96 ], [ 40, 82, 74 ], [ 40, 83, 51 ], [ 40, 84, 67 ], [ 40, 85, 78 ], [ 40, 86, 108 ], [ 40, 87, 78 ], [ 40, 88, 108 ], [ 40, 89, 67 ], [ 40, 90, 111 ], [ 40, 91, 81 ], [ 40, 92, 71 ], [ 40, 93, 81 ], [ 40, 94, 71 ], [ 40, 95, 111 ], [ 40, 96, 48 ], [ 40, 97, 71 ], [ 40, 98, 55 ], [ 40, 99, 71 ], [ 40, 100, 55 ], [ 40, 101, 48 ], [ 40, 102, 8 ], [ 40, 103, 111 ], [ 40, 104, 85 ], [ 40, 105, 111 ], [ 40, 106, 85 ], [ 40, 107, 8 ], [ 40, 108, 20 ], [ 40, 109, 81 ], [ 40, 110, 99 ], [ 40, 111, 81 ], [ 40, 112, 99 ], [ 40, 113, 20 ], [ 40, 114, 96 ], [ 40, 115, 78 ], [ 40, 116, 23 ], [ 40, 117, 78 ], [ 40, 118, 23 ], [ 40, 119, 96 ], [ 41, 0, 0 ], [ 41, 1, 55 ], [ 41, 2, 3 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 5, 103 ], [ 41, 6, 7 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 9, 86 ], [ 41, 10, 68 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 13, 100 ], [ 41, 14, 8 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 17, 74 ], [ 41, 18, 67 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 21, 94 ], [ 41, 22, 99 ], [ 41, 23, 85 ], [ 41, 24, 74 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 27, 94 ], [ 41, 28, 86 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 31, 8 ], [ 41, 32, 100 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 35, 3 ], [ 41, 36, 99 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 39, 103 ], [ 41, 40, 67 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 43, 68 ], [ 41, 44, 7 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 47, 55 ], [ 41, 48, 108 ], [ 41, 49, 99 ], [ 41, 50, 103 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 53, 100 ], [ 41, 54, 67 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 57, 68 ], [ 41, 58, 94 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 61, 3 ], [ 41, 62, 55 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 65, 7 ], [ 41, 66, 74 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 69, 86 ], [ 41, 70, 8 ], [ 41, 71, 48 ], [ 41, 72, 68 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 75, 67 ], [ 41, 76, 55 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 79, 7 ], [ 41, 80, 86 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 83, 8 ], [ 41, 84, 94 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 87, 74 ], [ 41, 88, 99 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 91, 103 ], [ 41, 92, 3 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 95, 100 ], [ 41, 96, 19 ], [ 41, 97, 8 ], [ 41, 98, 3 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 101, 7 ], [ 41, 102, 100 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 105, 99 ], [ 41, 106, 74 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 109, 55 ], [ 41, 110, 103 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 113, 67 ], [ 41, 114, 86 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 117, 94 ], [ 41, 118, 68 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 1, 3 ], [ 42, 2, 56 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 5, 82 ], [ 42, 6, 111 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 9, 48 ], [ 42, 10, 86 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 13, 119 ], [ 42, 14, 16 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 17, 89 ], [ 42, 18, 99 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 21, 15 ], [ 42, 22, 51 ], [ 42, 23, 64 ], [ 42, 24, 99 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 27, 111 ], [ 42, 28, 119 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 31, 82 ], [ 42, 32, 89 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 35, 16 ], [ 42, 36, 3 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 39, 51 ], [ 42, 40, 15 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 43, 56 ], [ 42, 44, 48 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 47, 86 ], [ 42, 48, 11 ], [ 42, 49, 16 ], [ 42, 50, 15 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 53, 3 ], [ 42, 54, 48 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 57, 99 ], [ 42, 58, 51 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 61, 86 ], [ 42, 62, 82 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 65, 56 ], [ 42, 66, 111 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 69, 89 ], [ 42, 70, 119 ], [ 42, 71, 81 ], [ 42, 72, 51 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 75, 56 ], [ 42, 76, 48 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 79, 89 ], [ 42, 80, 86 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 83, 111 ], [ 42, 84, 119 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 87, 15 ], [ 42, 88, 99 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 91, 16 ], [ 42, 92, 3 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 95, 82 ], [ 42, 96, 74 ], [ 42, 97, 86 ], [ 42, 98, 89 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 101, 82 ], [ 42, 102, 15 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 105, 119 ], [ 42, 106, 16 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 109, 51 ], [ 42, 110, 56 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 113, 3 ], [ 42, 114, 99 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 117, 48 ], [ 42, 118, 111 ], [ 42, 119, 59 ], [ 43, 0, 0 ], [ 43, 1, 3 ], [ 43, 2, 78 ], [ 43, 3, 82 ], [ 43, 4, 55 ], [ 43, 5, 59 ], [ 43, 6, 111 ], [ 43, 7, 116 ], [ 43, 8, 93 ], [ 43, 9, 73 ], [ 43, 10, 68 ], [ 43, 11, 48 ], [ 43, 12, 108 ], [ 43, 13, 100 ], [ 43, 14, 20 ], [ 43, 15, 16 ], [ 43, 16, 71 ], [ 43, 17, 60 ], [ 43, 18, 115 ], [ 43, 19, 99 ], [ 43, 20, 23 ], [ 43, 21, 11 ], [ 43, 22, 94 ], [ 43, 23, 85 ], [ 43, 24, 99 ], [ 43, 25, 100 ], [ 43, 26, 115 ], [ 43, 27, 116 ], [ 43, 28, 108 ], [ 43, 29, 111 ], [ 43, 30, 59 ], [ 43, 31, 82 ], [ 43, 32, 41 ], [ 43, 33, 16 ], [ 43, 34, 34 ], [ 43, 35, 11 ], [ 43, 36, 55 ], [ 43, 37, 3 ], [ 43, 38, 25 ], [ 43, 39, 73 ], [ 43, 40, 33 ], [ 43, 41, 85 ], [ 43, 42, 78 ], [ 43, 43, 0 ], [ 43, 44, 26 ], [ 43, 45, 48 ], [ 43, 46, 38 ], [ 43, 47, 60 ], [ 43, 48, 11 ], [ 43, 49, 16 ], [ 43, 50, 23 ], [ 43, 51, 3 ], [ 43, 52, 20 ], [ 43, 53, 0 ], [ 43, 54, 48 ], [ 43, 55, 73 ], [ 43, 56, 26 ], [ 43, 57, 100 ], [ 43, 58, 25 ], [ 43, 59, 99 ], [ 43, 60, 68 ], [ 43, 61, 116 ], [ 43, 62, 34 ], [ 43, 63, 82 ], [ 43, 64, 38 ], [ 43, 65, 94 ], [ 43, 66, 93 ], [ 43, 67, 111 ], [ 43, 68, 41 ], [ 43, 69, 59 ], [ 43, 70, 33 ], [ 43, 71, 71 ], [ 43, 72, 85 ], [ 43, 73, 73 ], [ 43, 74, 94 ], [ 43, 75, 82 ], [ 43, 76, 93 ], [ 43, 77, 78 ], [ 43, 78, 60 ], [ 43, 79, 16 ], [ 43, 80, 38 ], [ 43, 81, 116 ], [ 43, 82, 41 ], [ 43, 83, 115 ], [ 43, 84, 71 ], [ 43, 85, 100 ], [ 43, 86, 33 ], [ 43, 87, 3 ], [ 43, 88, 26 ], [ 43, 89, 23 ], [ 43, 90, 20 ], [ 43, 91, 108 ], [ 43, 92, 25 ], [ 43, 93, 55 ], [ 43, 94, 34 ], [ 43, 95, 68 ], [ 43, 96, 60 ], [ 43, 97, 48 ], [ 43, 98, 71 ], [ 43, 99, 59 ], [ 43, 100, 68 ], [ 43, 101, 55 ], [ 43, 102, 85 ], [ 43, 103, 11 ], [ 43, 104, 33 ], [ 43, 105, 111 ], [ 43, 106, 34 ], [ 43, 107, 108 ], [ 43, 108, 94 ], [ 43, 109, 99 ], [ 43, 110, 38 ], [ 43, 111, 0 ], [ 43, 112, 25 ], [ 43, 113, 20 ], [ 43, 114, 23 ], [ 43, 115, 115 ], [ 43, 116, 26 ], [ 43, 117, 78 ], [ 43, 118, 41 ], [ 43, 119, 93 ], [ 44, 0, 0 ], [ 44, 1, 81 ], [ 44, 2, 56 ], [ 44, 3, 82 ], [ 44, 4, 55 ], [ 44, 5, 4 ], [ 44, 6, 19 ], [ 44, 7, 93 ], [ 44, 8, 116 ], [ 44, 9, 86 ], [ 44, 10, 96 ], [ 44, 11, 7 ], [ 44, 12, 71 ], [ 44, 13, 90 ], [ 44, 14, 119 ], [ 44, 15, 74 ], [ 44, 16, 108 ], [ 44, 17, 52 ], [ 44, 18, 67 ], [ 44, 19, 23 ], [ 44, 20, 99 ], [ 44, 21, 15 ], [ 44, 22, 112 ], [ 44, 23, 64 ], [ 44, 24, 99 ], [ 44, 25, 119 ], [ 44, 26, 112 ], [ 44, 27, 116 ], [ 44, 28, 108 ], [ 44, 29, 96 ], [ 44, 30, 29 ], [ 44, 31, 41 ], [ 44, 32, 82 ], [ 44, 33, 64 ], [ 44, 34, 4 ], [ 44, 35, 52 ], [ 44, 36, 33 ], [ 44, 37, 37 ], [ 44, 38, 81 ], [ 44, 39, 15 ], [ 44, 40, 55 ], [ 44, 41, 7 ], [ 44, 42, 30 ], [ 44, 43, 26 ], [ 44, 44, 0 ], [ 44, 45, 74 ], [ 44, 46, 56 ], [ 44, 47, 86 ], [ 44, 48, 67 ], [ 44, 49, 71 ], [ 44, 50, 64 ], [ 44, 51, 56 ], [ 44, 52, 52 ], [ 44, 53, 55 ], [ 44, 54, 30 ], [ 44, 55, 33 ], [ 44, 56, 86 ], [ 44, 57, 112 ], [ 44, 58, 7 ], [ 44, 59, 108 ], [ 44, 60, 41 ], [ 44, 61, 26 ], [ 44, 62, 93 ], [ 44, 63, 23 ], [ 44, 64, 96 ], [ 44, 65, 4 ], [ 44, 66, 29 ], [ 44, 67, 37 ], [ 44, 68, 19 ], [ 44, 69, 90 ], [ 44, 70, 116 ], [ 44, 71, 82 ], [ 44, 72, 23 ], [ 44, 73, 19 ], [ 44, 74, 15 ], [ 44, 75, 0 ], [ 44, 76, 7 ], [ 44, 77, 4 ], [ 44, 78, 26 ], [ 44, 79, 29 ], [ 44, 80, 74 ], [ 44, 81, 99 ], [ 44, 82, 52 ], [ 44, 83, 96 ], [ 44, 84, 37 ], [ 44, 85, 30 ], [ 44, 86, 90 ], [ 44, 87, 67 ], [ 44, 88, 108 ], [ 44, 89, 55 ], [ 44, 90, 33 ], [ 44, 91, 41 ], [ 44, 92, 71 ], [ 44, 93, 93 ], [ 44, 94, 119 ], [ 44, 95, 81 ], [ 44, 96, 90 ], [ 44, 97, 93 ], [ 44, 98, 74 ], [ 44, 99, 81 ], [ 44, 100, 86 ], [ 44, 101, 82 ], [ 44, 102, 37 ], [ 44, 103, 41 ], [ 44, 104, 15 ], [ 44, 105, 119 ], [ 44, 106, 64 ], [ 44, 107, 116 ], [ 44, 108, 26 ], [ 44, 109, 33 ], [ 44, 110, 23 ], [ 44, 111, 71 ], [ 44, 112, 112 ], [ 44, 113, 56 ], [ 44, 114, 30 ], [ 44, 115, 29 ], [ 44, 116, 67 ], [ 44, 117, 19 ], [ 44, 118, 99 ], [ 44, 119, 0 ], [ 45, 0, 0 ], [ 45, 1, 81 ], [ 45, 2, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 5, 59 ], [ 45, 6, 19 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 9, 111 ], [ 45, 10, 93 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 13, 71 ], [ 45, 14, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 17, 119 ], [ 45, 18, 94 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 21, 99 ], [ 45, 22, 67 ], [ 45, 23, 99 ], [ 45, 24, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 27, 111 ], [ 45, 28, 119 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 31, 41 ], [ 45, 32, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 35, 59 ], [ 45, 36, 25 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 39, 81 ], [ 45, 40, 33 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 43, 30 ], [ 45, 44, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 47, 0 ], [ 45, 48, 67 ], [ 45, 49, 71 ], [ 45, 50, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 53, 59 ], [ 45, 54, 30 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 57, 111 ], [ 45, 58, 33 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 61, 41 ], [ 45, 62, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 65, 93 ], [ 45, 66, 46 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 69, 19 ], [ 45, 70, 29 ], [ 45, 71, 19 ], [ 45, 72, 94 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 75, 81 ], [ 45, 76, 93 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 79, 41 ], [ 45, 80, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 83, 119 ], [ 45, 84, 46 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 87, 71 ], [ 45, 88, 33 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 91, 25 ], [ 45, 92, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 95, 20 ], [ 45, 96, 20 ], [ 45, 97, 19 ], [ 45, 98, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 101, 0 ], [ 45, 102, 25 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 105, 99 ], [ 45, 106, 29 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 109, 30 ], [ 45, 110, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 113, 67 ], [ 45, 114, 46 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 117, 94 ], [ 45, 118, 38 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 1, 55 ], [ 46, 2, 78 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 5, 4 ], [ 46, 6, 7 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 9, 63 ], [ 46, 10, 111 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 13, 60 ], [ 46, 14, 119 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 17, 74 ], [ 46, 18, 77 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 21, 11 ], [ 46, 22, 99 ], [ 46, 23, 85 ], [ 46, 24, 99 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 27, 111 ], [ 46, 28, 119 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 31, 11 ], [ 46, 32, 4 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 35, 77 ], [ 46, 36, 63 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 39, 7 ], [ 46, 40, 55 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 43, 74 ], [ 46, 44, 78 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 47, 60 ], [ 46, 48, 85 ], [ 46, 49, 74 ], [ 46, 50, 77 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 53, 78 ], [ 46, 54, 60 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 57, 119 ], [ 46, 58, 63 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 61, 99 ], [ 46, 62, 111 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 65, 11 ], [ 46, 66, 4 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 69, 55 ], [ 46, 70, 7 ], [ 46, 71, 52 ], [ 46, 72, 11 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 75, 4 ], [ 46, 76, 7 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 79, 77 ], [ 46, 80, 74 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 83, 99 ], [ 46, 84, 55 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 87, 78 ], [ 46, 88, 60 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 91, 111 ], [ 46, 92, 119 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 95, 63 ], [ 46, 96, 52 ], [ 46, 97, 63 ], [ 46, 98, 60 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 101, 55 ], [ 46, 102, 7 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 105, 111 ], [ 46, 106, 11 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 109, 119 ], [ 46, 110, 99 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 113, 74 ], [ 46, 114, 78 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 117, 4 ], [ 46, 118, 77 ], [ 46, 119, 12 ], [ 47, 0, 0 ], [ 47, 1, 55 ], [ 47, 2, 0 ], [ 47, 3, 82 ], [ 47, 4, 55 ], [ 47, 5, 82 ], [ 47, 6, 7 ], [ 47, 7, 48 ], [ 47, 8, 7 ], [ 47, 9, 116 ], [ 47, 10, 48 ], [ 47, 11, 116 ], [ 47, 12, 16 ], [ 47, 13, 74 ], [ 47, 14, 16 ], [ 47, 15, 108 ], [ 47, 16, 74 ], [ 47, 17, 108 ], [ 47, 18, 64 ], [ 47, 19, 85 ], [ 47, 20, 64 ], [ 47, 21, 99 ], [ 47, 22, 85 ], [ 47, 23, 99 ], [ 47, 24, 99 ], [ 47, 25, 108 ], [ 47, 26, 99 ], [ 47, 27, 116 ], [ 47, 28, 108 ], [ 47, 29, 116 ], [ 47, 30, 52 ], [ 47, 31, 11 ], [ 47, 32, 52 ], [ 47, 33, 82 ], [ 47, 34, 11 ], [ 47, 35, 82 ], [ 47, 36, 73 ], [ 47, 37, 15 ], [ 47, 38, 73 ], [ 47, 39, 55 ], [ 47, 40, 15 ], [ 47, 41, 55 ], [ 47, 42, 86 ], [ 47, 43, 60 ], [ 47, 44, 86 ], [ 47, 45, 0 ], [ 47, 46, 60 ], [ 47, 47, 0 ], [ 47, 48, 85 ], [ 47, 49, 74 ], [ 47, 50, 85 ], [ 47, 51, 82 ], [ 47, 52, 74 ], [ 47, 53, 82 ], [ 47, 54, 60 ], [ 47, 55, 15 ], [ 47, 56, 60 ], [ 47, 57, 116 ], [ 47, 58, 15 ], [ 47, 59, 116 ], [ 47, 60, 103 ], [ 47, 61, 11 ], [ 47, 62, 103 ], [ 47, 63, 48 ], [ 47, 64, 11 ], [ 47, 65, 48 ], [ 47, 66, 104 ], [ 47, 67, 52 ], [ 47, 68, 104 ], [ 47, 69, 7 ], [ 47, 70, 52 ], [ 47, 71, 7 ], [ 47, 72, 64 ], [ 47, 73, 48 ], [ 47, 74, 64 ], [ 47, 75, 55 ], [ 47, 76, 48 ], [ 47, 77, 55 ], [ 47, 78, 86 ], [ 47, 79, 11 ], [ 47, 80, 86 ], [ 47, 81, 108 ], [ 47, 82, 11 ], [ 47, 83, 108 ], [ 47, 84, 104 ], [ 47, 85, 15 ], [ 47, 86, 104 ], [ 47, 87, 74 ], [ 47, 88, 15 ], [ 47, 89, 74 ], [ 47, 90, 103 ], [ 47, 91, 73 ], [ 47, 92, 103 ], [ 47, 93, 16 ], [ 47, 94, 73 ], [ 47, 95, 16 ], [ 47, 96, 16 ], [ 47, 97, 7 ], [ 47, 98, 16 ], [ 47, 99, 0 ], [ 47, 100, 7 ], [ 47, 101, 0 ], [ 47, 102, 73 ], [ 47, 103, 52 ], [ 47, 104, 73 ], [ 47, 105, 99 ], [ 47, 106, 52 ], [ 47, 107, 99 ], [ 47, 108, 103 ], [ 47, 109, 60 ], [ 47, 110, 103 ], [ 47, 111, 85 ], [ 47, 112, 60 ], [ 47, 113, 85 ], [ 47, 114, 104 ], [ 47, 115, 86 ], [ 47, 116, 104 ], [ 47, 117, 64 ], [ 47, 118, 86 ], [ 47, 119, 64 ], [ 48, 0, 0 ], [ 48, 1, 0 ], [ 48, 2, 12 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 5, 19 ], [ 48, 6, 30 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 9, 26 ], [ 48, 10, 29 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 13, 86 ], [ 48, 14, 74 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 17, 73 ], [ 48, 18, 111 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 21, 99 ], [ 48, 22, 96 ], [ 48, 23, 96 ], [ 48, 24, 30 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 27, 86 ], [ 48, 28, 111 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 31, 0 ], [ 48, 32, 56 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 35, 59 ], [ 48, 36, 12 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 39, 60 ], [ 48, 40, 63 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 43, 19 ], [ 48, 44, 67 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 47, 68 ], [ 48, 48, 0 ], [ 48, 49, 0 ], [ 48, 50, 74 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 53, 99 ], [ 48, 54, 30 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 57, 60 ], [ 48, 58, 67 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 61, 26 ], [ 48, 62, 56 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 65, 51 ], [ 48, 66, 29 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 69, 59 ], [ 48, 70, 52 ], [ 48, 71, 52 ], [ 48, 72, 12 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 75, 26 ], [ 48, 76, 96 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 79, 86 ], [ 48, 80, 56 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 83, 68 ], [ 48, 84, 74 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 87, 60 ], [ 48, 88, 52 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 91, 73 ], [ 48, 92, 63 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 95, 51 ], [ 48, 96, 19 ], [ 48, 97, 19 ], [ 48, 98, 29 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 101, 73 ], [ 48, 102, 111 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 105, 59 ], [ 48, 106, 63 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 109, 99 ], [ 48, 110, 67 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 113, 51 ], [ 48, 114, 96 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 117, 68 ], [ 48, 118, 52 ], [ 48, 119, 52 ], [ 49, 0, 0 ], [ 49, 1, 0 ], [ 49, 2, 23 ], [ 49, 3, 23 ], [ 49, 4, 16 ], [ 49, 5, 16 ], [ 49, 6, 30 ], [ 49, 7, 30 ], [ 49, 8, 41 ], [ 49, 9, 41 ], [ 49, 10, 46 ], [ 49, 11, 46 ], [ 49, 12, 112 ], [ 49, 13, 112 ], [ 49, 14, 119 ], [ 49, 15, 119 ], [ 49, 16, 103 ], [ 49, 17, 103 ], [ 49, 18, 89 ], [ 49, 19, 89 ], [ 49, 20, 94 ], [ 49, 21, 94 ], [ 49, 22, 78 ], [ 49, 23, 78 ], [ 49, 24, 30 ], [ 49, 25, 30 ], [ 49, 26, 112 ], [ 49, 27, 112 ], [ 49, 28, 89 ], [ 49, 29, 89 ], [ 49, 30, 0 ], [ 49, 31, 0 ], [ 49, 32, 82 ], [ 49, 33, 82 ], [ 49, 34, 107 ], [ 49, 35, 107 ], [ 49, 36, 23 ], [ 49, 37, 23 ], [ 49, 38, 90 ], [ 49, 39, 90 ], [ 49, 40, 45 ], [ 49, 41, 45 ], [ 49, 42, 16 ], [ 49, 43, 16 ], [ 49, 44, 115 ], [ 49, 45, 115 ], [ 49, 46, 38 ], [ 49, 47, 38 ], [ 49, 48, 0 ], [ 49, 49, 0 ], [ 49, 50, 119 ], [ 49, 51, 119 ], [ 49, 52, 94 ], [ 49, 53, 94 ], [ 49, 54, 30 ], [ 49, 55, 30 ], [ 49, 56, 90 ], [ 49, 57, 90 ], [ 49, 58, 115 ], [ 49, 59, 115 ], [ 49, 60, 41 ], [ 49, 61, 41 ], [ 49, 62, 82 ], [ 49, 63, 82 ], [ 49, 64, 11 ], [ 49, 65, 11 ], [ 49, 66, 46 ], [ 49, 67, 46 ], [ 49, 68, 107 ], [ 49, 69, 107 ], [ 49, 70, 8 ], [ 49, 71, 8 ], [ 49, 72, 23 ], [ 49, 73, 23 ], [ 49, 74, 41 ], [ 49, 75, 41 ], [ 49, 76, 78 ], [ 49, 77, 78 ], [ 49, 78, 112 ], [ 49, 79, 112 ], [ 49, 80, 82 ], [ 49, 81, 82 ], [ 49, 82, 38 ], [ 49, 83, 38 ], [ 49, 84, 119 ], [ 49, 85, 119 ], [ 49, 86, 90 ], [ 49, 87, 90 ], [ 49, 88, 8 ], [ 49, 89, 8 ], [ 49, 90, 103 ], [ 49, 91, 103 ], [ 49, 92, 45 ], [ 49, 93, 45 ], [ 49, 94, 11 ], [ 49, 95, 11 ], [ 49, 96, 16 ], [ 49, 97, 16 ], [ 49, 98, 46 ], [ 49, 99, 46 ], [ 49, 100, 103 ], [ 49, 101, 103 ], [ 49, 102, 89 ], [ 49, 103, 89 ], [ 49, 104, 107 ], [ 49, 105, 107 ], [ 49, 106, 45 ], [ 49, 107, 45 ], [ 49, 108, 94 ], [ 49, 109, 94 ], [ 49, 110, 115 ], [ 49, 111, 115 ], [ 49, 112, 11 ], [ 49, 113, 11 ], [ 49, 114, 78 ], [ 49, 115, 78 ], [ 49, 116, 38 ], [ 49, 117, 38 ], [ 49, 118, 8 ], [ 49, 119, 8 ], [ 50, 0, 0 ], [ 50, 1, 20 ], [ 50, 2, 12 ], [ 50, 3, 23 ], [ 50, 4, 16 ], [ 50, 5, 3 ], [ 50, 6, 86 ], [ 50, 7, 89 ], [ 50, 8, 78 ], [ 50, 9, 77 ], [ 50, 10, 90 ], [ 50, 11, 73 ], [ 50, 12, 30 ], [ 50, 13, 33 ], [ 50, 14, 38 ], [ 50, 15, 25 ], [ 50, 16, 46 ], [ 50, 17, 29 ], [ 50, 18, 108 ], [ 50, 19, 112 ], [ 50, 20, 119 ], [ 50, 21, 99 ], [ 50, 22, 107 ], [ 50, 23, 96 ], [ 50, 24, 30 ], [ 50, 25, 108 ], [ 50, 26, 86 ], [ 50, 27, 112 ], [ 50, 28, 89 ], [ 50, 29, 33 ], [ 50, 30, 12 ], [ 50, 31, 16 ], [ 50, 32, 38 ], [ 50, 33, 64 ], [ 50, 34, 119 ], [ 50, 35, 63 ], [ 50, 36, 0 ], [ 50, 37, 3 ], [ 50, 38, 78 ], [ 50, 39, 55 ], [ 50, 40, 107 ], [ 50, 41, 59 ], [ 50, 42, 20 ], [ 50, 43, 23 ], [ 50, 44, 90 ], [ 50, 45, 67 ], [ 50, 46, 46 ], [ 50, 47, 68 ], [ 50, 48, 38 ], [ 50, 49, 119 ], [ 50, 50, 0 ], [ 50, 51, 99 ], [ 50, 52, 20 ], [ 50, 53, 25 ], [ 50, 54, 78 ], [ 50, 55, 90 ], [ 50, 56, 30 ], [ 50, 57, 67 ], [ 50, 58, 108 ], [ 50, 59, 55 ], [ 50, 60, 86 ], [ 50, 61, 73 ], [ 50, 62, 12 ], [ 50, 63, 63 ], [ 50, 64, 96 ], [ 50, 65, 68 ], [ 50, 66, 89 ], [ 50, 67, 77 ], [ 50, 68, 16 ], [ 50, 69, 64 ], [ 50, 70, 29 ], [ 50, 71, 59 ], [ 50, 72, 78 ], [ 50, 73, 107 ], [ 50, 74, 12 ], [ 50, 75, 96 ], [ 50, 76, 23 ], [ 50, 77, 77 ], [ 50, 78, 38 ], [ 50, 79, 46 ], [ 50, 80, 86 ], [ 50, 81, 68 ], [ 50, 82, 112 ], [ 50, 83, 64 ], [ 50, 84, 30 ], [ 50, 85, 29 ], [ 50, 86, 0 ], [ 50, 87, 59 ], [ 50, 88, 99 ], [ 50, 89, 67 ], [ 50, 90, 33 ], [ 50, 91, 25 ], [ 50, 92, 3 ], [ 50, 93, 55 ], [ 50, 94, 73 ], [ 50, 95, 63 ], [ 50, 96, 90 ], [ 50, 97, 46 ], [ 50, 98, 16 ], [ 50, 99, 29 ], [ 50, 100, 3 ], [ 50, 101, 73 ], [ 50, 102, 119 ], [ 50, 103, 107 ], [ 50, 104, 89 ], [ 50, 105, 59 ], [ 50, 106, 33 ], [ 50, 107, 63 ], [ 50, 108, 108 ], [ 50, 109, 96 ], [ 50, 110, 20 ], [ 50, 111, 68 ], [ 50, 112, 25 ], [ 50, 113, 55 ], [ 50, 114, 112 ], [ 50, 115, 99 ], [ 50, 116, 23 ], [ 50, 117, 67 ], [ 50, 118, 77 ], [ 50, 119, 64 ], [ 51, 0, 0 ], [ 51, 1, 20 ], [ 51, 2, 4 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 5, 16 ], [ 51, 6, 86 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 9, 78 ], [ 51, 10, 82 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 13, 111 ], [ 51, 14, 119 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 17, 116 ], [ 51, 18, 30 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 21, 45 ], [ 51, 22, 42 ], [ 51, 23, 41 ], [ 51, 24, 30 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 27, 86 ], [ 51, 28, 111 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 31, 16 ], [ 51, 32, 116 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 35, 119 ], [ 51, 36, 20 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 39, 42 ], [ 51, 40, 45 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 43, 4 ], [ 51, 44, 78 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 47, 82 ], [ 51, 48, 38 ], [ 51, 49, 119 ], [ 51, 50, 45 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 53, 20 ], [ 51, 54, 78 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 57, 30 ], [ 51, 58, 42 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 61, 82 ], [ 51, 62, 16 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 65, 4 ], [ 51, 66, 86 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 69, 116 ], [ 51, 70, 111 ], [ 51, 71, 19 ], [ 51, 72, 42 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 75, 4 ], [ 51, 76, 78 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 79, 116 ], [ 51, 80, 82 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 83, 86 ], [ 51, 84, 111 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 87, 45 ], [ 51, 88, 30 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 91, 119 ], [ 51, 92, 20 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 95, 16 ], [ 51, 96, 103 ], [ 51, 97, 82 ], [ 51, 98, 116 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 101, 16 ], [ 51, 102, 45 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 105, 111 ], [ 51, 106, 119 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 109, 42 ], [ 51, 110, 4 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 113, 20 ], [ 51, 114, 30 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 117, 78 ], [ 51, 118, 86 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 1, 15 ], [ 52, 2, 23 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 5, 3 ], [ 52, 6, 111 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 9, 107 ], [ 52, 10, 103 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 13, 30 ], [ 52, 14, 38 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 17, 37 ], [ 52, 18, 86 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 21, 94 ], [ 52, 22, 93 ], [ 52, 23, 78 ], [ 52, 24, 30 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 27, 86 ], [ 52, 28, 111 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 31, 23 ], [ 52, 32, 94 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 35, 93 ], [ 52, 36, 3 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 39, 103 ], [ 52, 40, 107 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 43, 15 ], [ 52, 44, 37 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 47, 38 ], [ 52, 48, 45 ], [ 52, 49, 94 ], [ 52, 50, 15 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 53, 38 ], [ 52, 54, 103 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 57, 37 ], [ 52, 58, 30 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 61, 111 ], [ 52, 62, 93 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 65, 86 ], [ 52, 66, 107 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 69, 23 ], [ 52, 70, 3 ], [ 52, 71, 33 ], [ 52, 72, 107 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 75, 93 ], [ 52, 76, 23 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 79, 38 ], [ 52, 80, 86 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 83, 94 ], [ 52, 84, 37 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 87, 3 ], [ 52, 88, 15 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 91, 30 ], [ 52, 92, 103 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 95, 111 ], [ 52, 96, 116 ], [ 52, 97, 37 ], [ 52, 98, 3 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 101, 103 ], [ 52, 102, 93 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 105, 107 ], [ 52, 106, 111 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 109, 86 ], [ 52, 110, 38 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 113, 30 ], [ 52, 114, 94 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 117, 15 ], [ 52, 118, 23 ], [ 52, 119, 112 ], [ 53, 0, 0 ], [ 53, 1, 15 ], [ 53, 2, 4 ], [ 53, 3, 23 ], [ 53, 4, 16 ], [ 53, 5, 19 ], [ 53, 6, 111 ], [ 53, 7, 112 ], [ 53, 8, 96 ], [ 53, 9, 115 ], [ 53, 10, 100 ], [ 53, 11, 103 ], [ 53, 12, 89 ], [ 53, 13, 85 ], [ 53, 14, 74 ], [ 53, 15, 94 ], [ 53, 16, 73 ], [ 53, 17, 82 ], [ 53, 18, 34 ], [ 53, 19, 30 ], [ 53, 20, 25 ], [ 53, 21, 45 ], [ 53, 22, 26 ], [ 53, 23, 41 ], [ 53, 24, 30 ], [ 53, 25, 85 ], [ 53, 26, 34 ], [ 53, 27, 112 ], [ 53, 28, 89 ], [ 53, 29, 111 ], [ 53, 30, 19 ], [ 53, 31, 23 ], [ 53, 32, 68 ], [ 53, 33, 94 ], [ 53, 34, 71 ], [ 53, 35, 45 ], [ 53, 36, 16 ], [ 53, 37, 15 ], [ 53, 38, 60 ], [ 53, 39, 115 ], [ 53, 40, 63 ], [ 53, 41, 41 ], [ 53, 42, 4 ], [ 53, 43, 0 ], [ 53, 44, 55 ], [ 53, 45, 103 ], [ 53, 46, 56 ], [ 53, 47, 82 ], [ 53, 48, 45 ], [ 53, 49, 94 ], [ 53, 50, 25 ], [ 53, 51, 15 ], [ 53, 52, 74 ], [ 53, 53, 0 ], [ 53, 54, 103 ], [ 53, 55, 115 ], [ 53, 56, 55 ], [ 53, 57, 85 ], [ 53, 58, 60 ], [ 53, 59, 30 ], [ 53, 60, 100 ], [ 53, 61, 112 ], [ 53, 62, 71 ], [ 53, 63, 23 ], [ 53, 64, 56 ], [ 53, 65, 26 ], [ 53, 66, 96 ], [ 53, 67, 111 ], [ 53, 68, 68 ], [ 53, 69, 19 ], [ 53, 70, 63 ], [ 53, 71, 73 ], [ 53, 72, 41 ], [ 53, 73, 115 ], [ 53, 74, 26 ], [ 53, 75, 23 ], [ 53, 76, 96 ], [ 53, 77, 4 ], [ 53, 78, 82 ], [ 53, 79, 94 ], [ 53, 80, 56 ], [ 53, 81, 112 ], [ 53, 82, 68 ], [ 53, 83, 34 ], [ 53, 84, 73 ], [ 53, 85, 85 ], [ 53, 86, 63 ], [ 53, 87, 15 ], [ 53, 88, 55 ], [ 53, 89, 25 ], [ 53, 90, 74 ], [ 53, 91, 89 ], [ 53, 92, 60 ], [ 53, 93, 16 ], [ 53, 94, 71 ], [ 53, 95, 100 ], [ 53, 96, 82 ], [ 53, 97, 103 ], [ 53, 98, 73 ], [ 53, 99, 19 ], [ 53, 100, 100 ], [ 53, 101, 16 ], [ 53, 102, 41 ], [ 53, 103, 45 ], [ 53, 104, 63 ], [ 53, 105, 111 ], [ 53, 106, 71 ], [ 53, 107, 89 ], [ 53, 108, 26 ], [ 53, 109, 30 ], [ 53, 110, 56 ], [ 53, 111, 0 ], [ 53, 112, 60 ], [ 53, 113, 74 ], [ 53, 114, 25 ], [ 53, 115, 34 ], [ 53, 116, 55 ], [ 53, 117, 4 ], [ 53, 118, 68 ], [ 53, 119, 96 ], [ 54, 0, 0 ], [ 54, 1, 0 ], [ 54, 2, 78 ], [ 54, 3, 78 ], [ 54, 4, 103 ], [ 54, 5, 103 ], [ 54, 6, 30 ], [ 54, 7, 30 ], [ 54, 8, 78 ], [ 54, 9, 78 ], [ 54, 10, 103 ], [ 54, 11, 103 ], [ 54, 12, 30 ], [ 54, 13, 30 ], [ 54, 14, 0 ], [ 54, 15, 0 ], [ 54, 16, 103 ], [ 54, 17, 103 ], [ 54, 18, 30 ], [ 54, 19, 30 ], [ 54, 20, 0 ], [ 54, 21, 0 ], [ 54, 22, 78 ], [ 54, 23, 78 ], [ 54, 24, 48 ], [ 54, 25, 48 ], [ 54, 26, 60 ], [ 54, 27, 60 ], [ 54, 28, 67 ], [ 54, 29, 67 ], [ 54, 30, 30 ], [ 54, 31, 30 ], [ 54, 32, 60 ], [ 54, 33, 60 ], [ 54, 34, 67 ], [ 54, 35, 67 ], [ 54, 36, 30 ], [ 54, 37, 30 ], [ 54, 38, 48 ], [ 54, 39, 48 ], [ 54, 40, 67 ], [ 54, 41, 67 ], [ 54, 42, 30 ], [ 54, 43, 30 ], [ 54, 44, 48 ], [ 54, 45, 48 ], [ 54, 46, 60 ], [ 54, 47, 60 ], [ 54, 48, 48 ], [ 54, 49, 48 ], [ 54, 50, 56 ], [ 54, 51, 56 ], [ 54, 52, 59 ], [ 54, 53, 59 ], [ 54, 54, 0 ], [ 54, 55, 0 ], [ 54, 56, 56 ], [ 54, 57, 56 ], [ 54, 58, 59 ], [ 54, 59, 59 ], [ 54, 60, 0 ], [ 54, 61, 0 ], [ 54, 62, 48 ], [ 54, 63, 48 ], [ 54, 64, 59 ], [ 54, 65, 59 ], [ 54, 66, 0 ], [ 54, 67, 0 ], [ 54, 68, 48 ], [ 54, 69, 48 ], [ 54, 70, 56 ], [ 54, 71, 56 ], [ 54, 72, 60 ], [ 54, 73, 60 ], [ 54, 74, 56 ], [ 54, 75, 56 ], [ 54, 76, 55 ], [ 54, 77, 55 ], [ 54, 78, 78 ], [ 54, 79, 78 ], [ 54, 80, 56 ], [ 54, 81, 56 ], [ 54, 82, 55 ], [ 54, 83, 55 ], [ 54, 84, 78 ], [ 54, 85, 78 ], [ 54, 86, 60 ], [ 54, 87, 60 ], [ 54, 88, 55 ], [ 54, 89, 55 ], [ 54, 90, 78 ], [ 54, 91, 78 ], [ 54, 92, 60 ], [ 54, 93, 60 ], [ 54, 94, 56 ], [ 54, 95, 56 ], [ 54, 96, 67 ], [ 54, 97, 67 ], [ 54, 98, 59 ], [ 54, 99, 59 ], [ 54, 100, 55 ], [ 54, 101, 55 ], [ 54, 102, 103 ], [ 54, 103, 103 ], [ 54, 104, 59 ], [ 54, 105, 59 ], [ 54, 106, 55 ], [ 54, 107, 55 ], [ 54, 108, 103 ], [ 54, 109, 103 ], [ 54, 110, 67 ], [ 54, 111, 67 ], [ 54, 112, 55 ], [ 54, 113, 55 ], [ 54, 114, 103 ], [ 54, 115, 103 ], [ 54, 116, 67 ], [ 54, 117, 67 ], [ 54, 118, 59 ], [ 54, 119, 59 ], [ 55, 0, 0 ], [ 55, 1, 0 ], [ 55, 2, 107 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 5, 82 ], [ 55, 6, 30 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 9, 115 ], [ 55, 10, 90 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 13, 33 ], [ 55, 14, 15 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 17, 73 ], [ 55, 18, 34 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 21, 20 ], [ 55, 22, 96 ], [ 55, 23, 96 ], [ 55, 24, 48 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 27, 71 ], [ 55, 28, 64 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 31, 30 ], [ 55, 32, 90 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 35, 115 ], [ 55, 36, 33 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 39, 73 ], [ 55, 40, 15 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 43, 34 ], [ 55, 44, 96 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 47, 20 ], [ 55, 48, 48 ], [ 55, 49, 48 ], [ 55, 50, 64 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 53, 71 ], [ 55, 54, 0 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 57, 82 ], [ 55, 58, 107 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 61, 15 ], [ 55, 62, 73 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 65, 33 ], [ 55, 66, 20 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 69, 96 ], [ 55, 70, 34 ], [ 55, 71, 34 ], [ 55, 72, 71 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 75, 64 ], [ 55, 76, 48 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 79, 107 ], [ 55, 80, 82 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 83, 0 ], [ 55, 84, 115 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 87, 90 ], [ 55, 88, 30 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 91, 96 ], [ 55, 92, 20 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 95, 34 ], [ 55, 96, 64 ], [ 55, 97, 64 ], [ 55, 98, 71 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 101, 48 ], [ 55, 102, 82 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 105, 107 ], [ 55, 106, 0 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 109, 90 ], [ 55, 110, 115 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 113, 30 ], [ 55, 114, 73 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 117, 15 ], [ 55, 118, 33 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 1, 104 ], [ 56, 2, 78 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 5, 3 ], [ 56, 6, 8 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 9, 107 ], [ 56, 10, 46 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 13, 112 ], [ 56, 14, 38 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 17, 82 ], [ 56, 18, 86 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 21, 0 ], [ 56, 22, 26 ], [ 56, 23, 78 ], [ 56, 24, 48 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 27, 71 ], [ 56, 28, 64 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 31, 46 ], [ 56, 32, 8 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 35, 51 ], [ 56, 36, 38 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 39, 68 ], [ 56, 40, 112 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 43, 26 ], [ 56, 44, 86 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 47, 60 ], [ 56, 48, 60 ], [ 56, 49, 64 ], [ 56, 50, 48 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 53, 55 ], [ 56, 54, 78 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 57, 59 ], [ 56, 58, 104 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 61, 82 ], [ 56, 62, 38 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 65, 68 ], [ 56, 66, 86 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 69, 60 ], [ 56, 70, 0 ], [ 56, 71, 48 ], [ 56, 72, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 75, 55 ], [ 56, 76, 71 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 79, 3 ], [ 56, 80, 78 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 83, 59 ], [ 56, 84, 8 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 87, 51 ], [ 56, 88, 107 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 91, 0 ], [ 56, 92, 26 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 95, 60 ], [ 56, 96, 68 ], [ 56, 97, 71 ], [ 56, 98, 64 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 101, 55 ], [ 56, 102, 104 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 105, 59 ], [ 56, 106, 3 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 109, 107 ], [ 56, 110, 46 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 113, 51 ], [ 56, 114, 112 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 117, 68 ], [ 56, 118, 82 ], [ 56, 119, 64 ], [ 57, 0, 0 ], [ 57, 1, 104 ], [ 57, 2, 4 ], [ 57, 3, 78 ], [ 57, 4, 103 ], [ 57, 5, 82 ], [ 57, 6, 8 ], [ 57, 7, 112 ], [ 57, 8, 23 ], [ 57, 9, 26 ], [ 57, 10, 100 ], [ 57, 11, 46 ], [ 57, 12, 7 ], [ 57, 13, 85 ], [ 57, 14, 15 ], [ 57, 15, 25 ], [ 57, 16, 73 ], [ 57, 17, 37 ], [ 57, 18, 111 ], [ 57, 19, 89 ], [ 57, 20, 119 ], [ 57, 21, 45 ], [ 57, 22, 93 ], [ 57, 23, 41 ], [ 57, 24, 48 ], [ 57, 25, 68 ], [ 57, 26, 52 ], [ 57, 27, 60 ], [ 57, 28, 67 ], [ 57, 29, 64 ], [ 57, 30, 26 ], [ 57, 31, 46 ], [ 57, 32, 100 ], [ 57, 33, 8 ], [ 57, 34, 23 ], [ 57, 35, 112 ], [ 57, 36, 25 ], [ 57, 37, 37 ], [ 57, 38, 73 ], [ 57, 39, 7 ], [ 57, 40, 15 ], [ 57, 41, 85 ], [ 57, 42, 45 ], [ 57, 43, 41 ], [ 57, 44, 93 ], [ 57, 45, 111 ], [ 57, 46, 119 ], [ 57, 47, 89 ], [ 57, 48, 60 ], [ 57, 49, 64 ], [ 57, 50, 67 ], [ 57, 51, 48 ], [ 57, 52, 52 ], [ 57, 53, 68 ], [ 57, 54, 78 ], [ 57, 55, 82 ], [ 57, 56, 103 ], [ 57, 57, 0 ], [ 57, 58, 4 ], [ 57, 59, 104 ], [ 57, 60, 85 ], [ 57, 61, 73 ], [ 57, 62, 37 ], [ 57, 63, 15 ], [ 57, 64, 7 ], [ 57, 65, 25 ], [ 57, 66, 89 ], [ 57, 67, 93 ], [ 57, 68, 41 ], [ 57, 69, 119 ], [ 57, 70, 111 ], [ 57, 71, 45 ], [ 57, 72, 68 ], [ 57, 73, 67 ], [ 57, 74, 64 ], [ 57, 75, 52 ], [ 57, 76, 48 ], [ 57, 77, 60 ], [ 57, 78, 104 ], [ 57, 79, 103 ], [ 57, 80, 82 ], [ 57, 81, 4 ], [ 57, 82, 0 ], [ 57, 83, 78 ], [ 57, 84, 112 ], [ 57, 85, 100 ], [ 57, 86, 46 ], [ 57, 87, 23 ], [ 57, 88, 8 ], [ 57, 89, 26 ], [ 57, 90, 111 ], [ 57, 91, 119 ], [ 57, 92, 45 ], [ 57, 93, 93 ], [ 57, 94, 89 ], [ 57, 95, 41 ], [ 57, 96, 48 ], [ 57, 97, 52 ], [ 57, 98, 60 ], [ 57, 99, 67 ], [ 57, 100, 68 ], [ 57, 101, 64 ], [ 57, 102, 0 ], [ 57, 103, 4 ], [ 57, 104, 78 ], [ 57, 105, 103 ], [ 57, 106, 104 ], [ 57, 107, 82 ], [ 57, 108, 8 ], [ 57, 109, 23 ], [ 57, 110, 26 ], [ 57, 111, 100 ], [ 57, 112, 112 ], [ 57, 113, 46 ], [ 57, 114, 7 ], [ 57, 115, 15 ], [ 57, 116, 25 ], [ 57, 117, 73 ], [ 57, 118, 85 ], [ 57, 119, 37 ], [ 58, 0, 0 ], [ 58, 1, 81 ], [ 58, 2, 107 ], [ 58, 3, 78 ], [ 58, 4, 103 ], [ 58, 5, 3 ], [ 58, 6, 11 ], [ 58, 7, 89 ], [ 58, 8, 41 ], [ 58, 9, 77 ], [ 58, 10, 29 ], [ 58, 11, 16 ], [ 58, 12, 112 ], [ 58, 13, 86 ], [ 58, 14, 38 ], [ 58, 15, 94 ], [ 58, 16, 46 ], [ 58, 17, 116 ], [ 58, 18, 108 ], [ 58, 19, 7 ], [ 58, 20, 25 ], [ 58, 21, 20 ], [ 58, 22, 42 ], [ 58, 23, 96 ], [ 58, 24, 48 ], [ 58, 25, 63 ], [ 58, 26, 71 ], [ 58, 27, 60 ], [ 58, 28, 67 ], [ 58, 29, 51 ], [ 58, 30, 29 ], [ 58, 31, 41 ], [ 58, 32, 89 ], [ 58, 33, 16 ], [ 58, 34, 11 ], [ 58, 35, 77 ], [ 58, 36, 46 ], [ 58, 37, 38 ], [ 58, 38, 86 ], [ 58, 39, 116 ], [ 58, 40, 112 ], [ 58, 41, 94 ], [ 58, 42, 42 ], [ 58, 43, 25 ], [ 58, 44, 7 ], [ 58, 45, 96 ], [ 58, 46, 108 ], [ 58, 47, 20 ], [ 58, 48, 67 ], [ 58, 49, 71 ], [ 58, 50, 63 ], [ 58, 51, 51 ], [ 58, 52, 48 ], [ 58, 53, 60 ], [ 58, 54, 103 ], [ 58, 55, 107 ], [ 58, 56, 81 ], [ 58, 57, 3 ], [ 58, 58, 0 ], [ 58, 59, 78 ], [ 58, 60, 116 ], [ 58, 61, 112 ], [ 58, 62, 94 ], [ 58, 63, 46 ], [ 58, 64, 38 ], [ 58, 65, 86 ], [ 58, 66, 96 ], [ 58, 67, 108 ], [ 58, 68, 20 ], [ 58, 69, 42 ], [ 58, 70, 25 ], [ 58, 71, 7 ], [ 58, 72, 51 ], [ 58, 73, 48 ], [ 58, 74, 60 ], [ 58, 75, 67 ], [ 58, 76, 71 ], [ 58, 77, 63 ], [ 58, 78, 3 ], [ 58, 79, 0 ], [ 58, 80, 78 ], [ 58, 81, 103 ], [ 58, 82, 107 ], [ 58, 83, 81 ], [ 58, 84, 16 ], [ 58, 85, 11 ], [ 58, 86, 77 ], [ 58, 87, 29 ], [ 58, 88, 41 ], [ 58, 89, 89 ], [ 58, 90, 20 ], [ 58, 91, 7 ], [ 58, 92, 96 ], [ 58, 93, 25 ], [ 58, 94, 42 ], [ 58, 95, 108 ], [ 58, 96, 60 ], [ 58, 97, 63 ], [ 58, 98, 51 ], [ 58, 99, 71 ], [ 58, 100, 67 ], [ 58, 101, 48 ], [ 58, 102, 78 ], [ 58, 103, 81 ], [ 58, 104, 3 ], [ 58, 105, 107 ], [ 58, 106, 103 ], [ 58, 107, 0 ], [ 58, 108, 77 ], [ 58, 109, 89 ], [ 58, 110, 16 ], [ 58, 111, 41 ], [ 58, 112, 29 ], [ 58, 113, 11 ], [ 58, 114, 94 ], [ 58, 115, 86 ], [ 58, 116, 116 ], [ 58, 117, 38 ], [ 58, 118, 46 ], [ 58, 119, 112 ], [ 59, 0, 0 ], [ 59, 1, 81 ], [ 59, 2, 4 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 5, 103 ], [ 59, 6, 11 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 9, 41 ], [ 59, 10, 82 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 13, 111 ], [ 59, 14, 0 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 17, 29 ], [ 59, 18, 89 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 21, 45 ], [ 59, 22, 107 ], [ 59, 23, 41 ], [ 59, 24, 48 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 27, 71 ], [ 59, 28, 64 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 31, 41 ], [ 59, 32, 52 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 35, 11 ], [ 59, 36, 29 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 39, 111 ], [ 59, 40, 67 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 43, 45 ], [ 59, 44, 63 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 47, 89 ], [ 59, 48, 67 ], [ 59, 49, 71 ], [ 59, 50, 55 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 53, 48 ], [ 59, 54, 103 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 57, 81 ], [ 59, 58, 56 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 61, 111 ], [ 59, 62, 67 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 65, 0 ], [ 59, 66, 107 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 69, 45 ], [ 59, 70, 63 ], [ 59, 71, 81 ], [ 59, 72, 64 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 75, 71 ], [ 59, 76, 55 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 79, 81 ], [ 59, 80, 56 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 83, 4 ], [ 59, 84, 82 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 87, 41 ], [ 59, 88, 52 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 91, 89 ], [ 59, 92, 63 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 95, 107 ], [ 59, 96, 52 ], [ 59, 97, 48 ], [ 59, 98, 55 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 101, 64 ], [ 59, 102, 4 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 105, 103 ], [ 59, 106, 56 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 109, 11 ], [ 59, 110, 52 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 113, 82 ], [ 59, 114, 0 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 117, 29 ], [ 59, 118, 67 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 1, 20 ], [ 60, 2, 26 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 5, 103 ], [ 60, 6, 86 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 9, 41 ], [ 60, 10, 100 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 13, 85 ], [ 60, 14, 0 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 17, 116 ], [ 60, 18, 89 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 21, 15 ], [ 60, 22, 42 ], [ 60, 23, 41 ], [ 60, 24, 26 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 27, 103 ], [ 60, 28, 20 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 31, 89 ], [ 60, 32, 0 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 35, 68 ], [ 60, 36, 86 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 39, 51 ], [ 60, 40, 42 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 43, 85 ], [ 60, 44, 100 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 47, 59 ], [ 60, 48, 26 ], [ 60, 49, 100 ], [ 60, 50, 86 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 53, 41 ], [ 60, 54, 0 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 57, 68 ], [ 60, 58, 89 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 61, 15 ], [ 60, 62, 26 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 65, 59 ], [ 60, 66, 20 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 69, 51 ], [ 60, 70, 116 ], [ 60, 71, 68 ], [ 60, 72, 0 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 75, 116 ], [ 60, 76, 85 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 79, 42 ], [ 60, 80, 86 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 83, 51 ], [ 60, 84, 26 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 87, 59 ], [ 60, 88, 15 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 91, 41 ], [ 60, 92, 103 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 95, 68 ], [ 60, 96, 20 ], [ 60, 97, 42 ], [ 60, 98, 89 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 101, 15 ], [ 60, 102, 100 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 105, 59 ], [ 60, 106, 85 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 109, 116 ], [ 60, 110, 20 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 113, 51 ], [ 60, 114, 103 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 117, 68 ], [ 60, 118, 41 ], [ 60, 119, 59 ], [ 61, 0, 0 ], [ 61, 1, 20 ], [ 61, 2, 107 ], [ 61, 3, 96 ], [ 61, 4, 46 ], [ 61, 5, 29 ], [ 61, 6, 86 ], [ 61, 7, 89 ], [ 61, 8, 96 ], [ 61, 9, 107 ], [ 61, 10, 29 ], [ 61, 11, 46 ], [ 61, 12, 89 ], [ 61, 13, 86 ], [ 61, 14, 20 ], [ 61, 15, 0 ], [ 61, 16, 46 ], [ 61, 17, 29 ], [ 61, 18, 86 ], [ 61, 19, 89 ], [ 61, 20, 0 ], [ 61, 21, 20 ], [ 61, 22, 107 ], [ 61, 23, 96 ], [ 61, 24, 26 ], [ 61, 25, 100 ], [ 61, 26, 45 ], [ 61, 27, 19 ], [ 61, 28, 104 ], [ 61, 29, 4 ], [ 61, 30, 86 ], [ 61, 31, 89 ], [ 61, 32, 19 ], [ 61, 33, 45 ], [ 61, 34, 4 ], [ 61, 35, 104 ], [ 61, 36, 89 ], [ 61, 37, 86 ], [ 61, 38, 100 ], [ 61, 39, 26 ], [ 61, 40, 104 ], [ 61, 41, 4 ], [ 61, 42, 86 ], [ 61, 43, 89 ], [ 61, 44, 26 ], [ 61, 45, 100 ], [ 61, 46, 45 ], [ 61, 47, 19 ], [ 61, 48, 26 ], [ 61, 49, 100 ], [ 61, 50, 34 ], [ 61, 51, 82 ], [ 61, 52, 111 ], [ 61, 53, 93 ], [ 61, 54, 0 ], [ 61, 55, 20 ], [ 61, 56, 82 ], [ 61, 57, 34 ], [ 61, 58, 93 ], [ 61, 59, 111 ], [ 61, 60, 20 ], [ 61, 61, 0 ], [ 61, 62, 100 ], [ 61, 63, 26 ], [ 61, 64, 111 ], [ 61, 65, 93 ], [ 61, 66, 0 ], [ 61, 67, 20 ], [ 61, 68, 26 ], [ 61, 69, 100 ], [ 61, 70, 34 ], [ 61, 71, 82 ], [ 61, 72, 45 ], [ 61, 73, 19 ], [ 61, 74, 34 ], [ 61, 75, 82 ], [ 61, 76, 8 ], [ 61, 77, 74 ], [ 61, 78, 107 ], [ 61, 79, 96 ], [ 61, 80, 82 ], [ 61, 81, 34 ], [ 61, 82, 74 ], [ 61, 83, 8 ], [ 61, 84, 96 ], [ 61, 85, 107 ], [ 61, 86, 19 ], [ 61, 87, 45 ], [ 61, 88, 8 ], [ 61, 89, 74 ], [ 61, 90, 107 ], [ 61, 91, 96 ], [ 61, 92, 45 ], [ 61, 93, 19 ], [ 61, 94, 34 ], [ 61, 95, 82 ], [ 61, 96, 104 ], [ 61, 97, 4 ], [ 61, 98, 111 ], [ 61, 99, 93 ], [ 61, 100, 8 ], [ 61, 101, 74 ], [ 61, 102, 46 ], [ 61, 103, 29 ], [ 61, 104, 93 ], [ 61, 105, 111 ], [ 61, 106, 74 ], [ 61, 107, 8 ], [ 61, 108, 29 ], [ 61, 109, 46 ], [ 61, 110, 4 ], [ 61, 111, 104 ], [ 61, 112, 8 ], [ 61, 113, 74 ], [ 61, 114, 46 ], [ 61, 115, 29 ], [ 61, 116, 104 ], [ 61, 117, 4 ], [ 61, 118, 111 ], [ 61, 119, 93 ], [ 62, 0, 0 ], [ 62, 1, 104 ], [ 62, 2, 26 ], [ 62, 3, 96 ], [ 62, 4, 46 ], [ 62, 5, 19 ], [ 62, 6, 8 ], [ 62, 7, 112 ], [ 62, 8, 78 ], [ 62, 9, 115 ], [ 62, 10, 82 ], [ 62, 11, 16 ], [ 62, 12, 30 ], [ 62, 13, 111 ], [ 62, 14, 74 ], [ 62, 15, 119 ], [ 62, 16, 73 ], [ 62, 17, 37 ], [ 62, 18, 34 ], [ 62, 19, 7 ], [ 62, 20, 94 ], [ 62, 21, 15 ], [ 62, 22, 93 ], [ 62, 23, 41 ], [ 62, 24, 26 ], [ 62, 25, 46 ], [ 62, 26, 0 ], [ 62, 27, 19 ], [ 62, 28, 104 ], [ 62, 29, 96 ], [ 62, 30, 74 ], [ 62, 31, 94 ], [ 62, 32, 30 ], [ 62, 33, 67 ], [ 62, 34, 34 ], [ 62, 35, 52 ], [ 62, 36, 78 ], [ 62, 37, 93 ], [ 62, 38, 8 ], [ 62, 39, 71 ], [ 62, 40, 7 ], [ 62, 41, 55 ], [ 62, 42, 82 ], [ 62, 43, 73 ], [ 62, 44, 112 ], [ 62, 45, 51 ], [ 62, 46, 111 ], [ 62, 47, 59 ], [ 62, 48, 78 ], [ 62, 49, 82 ], [ 62, 50, 8 ], [ 62, 51, 16 ], [ 62, 52, 112 ], [ 62, 53, 115 ], [ 62, 54, 30 ], [ 62, 55, 34 ], [ 62, 56, 74 ], [ 62, 57, 52 ], [ 62, 58, 94 ], [ 62, 59, 67 ], [ 62, 60, 26 ], [ 62, 61, 41 ], [ 62, 62, 0 ], [ 62, 63, 59 ], [ 62, 64, 15 ], [ 62, 65, 51 ], [ 62, 66, 46 ], [ 62, 67, 37 ], [ 62, 68, 104 ], [ 62, 69, 55 ], [ 62, 70, 119 ], [ 62, 71, 71 ], [ 62, 72, 74 ], [ 62, 73, 73 ], [ 62, 74, 30 ], [ 62, 75, 37 ], [ 62, 76, 111 ], [ 62, 77, 119 ], [ 62, 78, 8 ], [ 62, 79, 7 ], [ 62, 80, 78 ], [ 62, 81, 55 ], [ 62, 82, 93 ], [ 62, 83, 71 ], [ 62, 84, 0 ], [ 62, 85, 15 ], [ 62, 86, 26 ], [ 62, 87, 51 ], [ 62, 88, 41 ], [ 62, 89, 59 ], [ 62, 90, 19 ], [ 62, 91, 16 ], [ 62, 92, 96 ], [ 62, 93, 52 ], [ 62, 94, 115 ], [ 62, 95, 67 ], [ 62, 96, 94 ], [ 62, 97, 93 ], [ 62, 98, 34 ], [ 62, 99, 41 ], [ 62, 100, 7 ], [ 62, 101, 15 ], [ 62, 102, 112 ], [ 62, 103, 111 ], [ 62, 104, 82 ], [ 62, 105, 59 ], [ 62, 106, 73 ], [ 62, 107, 51 ], [ 62, 108, 104 ], [ 62, 109, 119 ], [ 62, 110, 46 ], [ 62, 111, 71 ], [ 62, 112, 37 ], [ 62, 113, 55 ], [ 62, 114, 96 ], [ 62, 115, 115 ], [ 62, 116, 19 ], [ 62, 117, 67 ], [ 62, 118, 16 ], [ 62, 119, 52 ], [ 63, 0, 0 ], [ 63, 1, 104 ], [ 63, 2, 23 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 5, 29 ], [ 63, 6, 8 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 9, 77 ], [ 63, 10, 103 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 13, 30 ], [ 63, 14, 20 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 17, 82 ], [ 63, 18, 108 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 21, 94 ], [ 63, 22, 26 ], [ 63, 23, 78 ], [ 63, 24, 26 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 27, 103 ], [ 63, 28, 20 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 31, 94 ], [ 63, 32, 29 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 35, 108 ], [ 63, 36, 77 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 39, 8 ], [ 63, 40, 104 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 43, 82 ], [ 63, 44, 23 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 47, 30 ], [ 63, 48, 78 ], [ 63, 49, 82 ], [ 63, 50, 108 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 53, 23 ], [ 63, 54, 30 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 57, 20 ], [ 63, 58, 77 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 61, 26 ], [ 63, 62, 103 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 65, 94 ], [ 63, 66, 29 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 69, 104 ], [ 63, 70, 8 ], [ 63, 71, 74 ], [ 63, 72, 94 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 75, 29 ], [ 63, 76, 8 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 79, 108 ], [ 63, 80, 82 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 83, 26 ], [ 63, 84, 104 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 87, 23 ], [ 63, 88, 30 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 91, 103 ], [ 63, 92, 20 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 95, 77 ], [ 63, 96, 74 ], [ 63, 97, 77 ], [ 63, 98, 30 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 101, 104 ], [ 63, 102, 8 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 105, 103 ], [ 63, 106, 94 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 109, 20 ], [ 63, 110, 26 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 113, 82 ], [ 63, 114, 23 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 117, 29 ], [ 63, 118, 108 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 1, 25 ], [ 64, 2, 107 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 5, 19 ], [ 64, 6, 7 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 9, 26 ], [ 64, 10, 90 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 13, 33 ], [ 64, 14, 74 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 17, 103 ], [ 64, 18, 111 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 21, 20 ], [ 64, 22, 78 ], [ 64, 23, 96 ], [ 64, 24, 26 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 27, 103 ], [ 64, 28, 20 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 31, 78 ], [ 64, 32, 111 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 35, 25 ], [ 64, 36, 90 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 39, 107 ], [ 64, 40, 7 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 43, 74 ], [ 64, 44, 33 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 47, 19 ], [ 64, 48, 42 ], [ 64, 49, 19 ], [ 64, 50, 33 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 53, 78 ], [ 64, 54, 103 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 57, 7 ], [ 64, 58, 74 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 61, 111 ], [ 64, 62, 20 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 65, 26 ], [ 64, 66, 107 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 69, 90 ], [ 64, 70, 25 ], [ 64, 71, 3 ], [ 64, 72, 25 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 75, 90 ], [ 64, 76, 111 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 79, 20 ], [ 64, 80, 78 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 83, 33 ], [ 64, 84, 19 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 87, 74 ], [ 64, 88, 107 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 91, 7 ], [ 64, 92, 26 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 95, 103 ], [ 64, 96, 0 ], [ 64, 97, 107 ], [ 64, 98, 7 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 101, 74 ], [ 64, 102, 26 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 105, 111 ], [ 64, 106, 90 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 109, 33 ], [ 64, 110, 103 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 113, 20 ], [ 64, 114, 25 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 117, 78 ], [ 64, 118, 19 ], [ 64, 119, 96 ], [ 65, 0, 0 ], [ 65, 1, 25 ], [ 65, 2, 23 ], [ 65, 3, 96 ], [ 65, 4, 46 ], [ 65, 5, 103 ], [ 65, 6, 7 ], [ 65, 7, 30 ], [ 65, 8, 23 ], [ 65, 9, 78 ], [ 65, 10, 46 ], [ 65, 11, 73 ], [ 65, 12, 7 ], [ 65, 13, 112 ], [ 65, 14, 0 ], [ 65, 15, 94 ], [ 65, 16, 103 ], [ 65, 17, 73 ], [ 65, 18, 30 ], [ 65, 19, 112 ], [ 65, 20, 25 ], [ 65, 21, 94 ], [ 65, 22, 96 ], [ 65, 23, 78 ], [ 65, 24, 26 ], [ 65, 25, 3 ], [ 65, 26, 99 ], [ 65, 27, 19 ], [ 65, 28, 104 ], [ 65, 29, 42 ], [ 65, 30, 73 ], [ 65, 31, 78 ], [ 65, 32, 99 ], [ 65, 33, 30 ], [ 65, 34, 104 ], [ 65, 35, 7 ], [ 65, 36, 73 ], [ 65, 37, 94 ], [ 65, 38, 26 ], [ 65, 39, 112 ], [ 65, 40, 42 ], [ 65, 41, 7 ], [ 65, 42, 78 ], [ 65, 43, 94 ], [ 65, 44, 3 ], [ 65, 45, 112 ], [ 65, 46, 19 ], [ 65, 47, 30 ], [ 65, 48, 42 ], [ 65, 49, 19 ], [ 65, 50, 85 ], [ 65, 51, 3 ], [ 65, 52, 86 ], [ 65, 53, 26 ], [ 65, 54, 103 ], [ 65, 55, 96 ], [ 65, 56, 85 ], [ 65, 57, 25 ], [ 65, 58, 86 ], [ 65, 59, 0 ], [ 65, 60, 103 ], [ 65, 61, 112 ], [ 65, 62, 42 ], [ 65, 63, 94 ], [ 65, 64, 26 ], [ 65, 65, 0 ], [ 65, 66, 96 ], [ 65, 67, 112 ], [ 65, 68, 19 ], [ 65, 69, 94 ], [ 65, 70, 3 ], [ 65, 71, 25 ], [ 65, 72, 104 ], [ 65, 73, 3 ], [ 65, 74, 86 ], [ 65, 75, 19 ], [ 65, 76, 85 ], [ 65, 77, 99 ], [ 65, 78, 46 ], [ 65, 79, 25 ], [ 65, 80, 86 ], [ 65, 81, 96 ], [ 65, 82, 85 ], [ 65, 83, 23 ], [ 65, 84, 46 ], [ 65, 85, 30 ], [ 65, 86, 104 ], [ 65, 87, 78 ], [ 65, 88, 99 ], [ 65, 89, 23 ], [ 65, 90, 25 ], [ 65, 91, 30 ], [ 65, 92, 3 ], [ 65, 93, 78 ], [ 65, 94, 19 ], [ 65, 95, 96 ], [ 65, 96, 99 ], [ 65, 97, 26 ], [ 65, 98, 85 ], [ 65, 99, 42 ], [ 65, 100, 86 ], [ 65, 101, 104 ], [ 65, 102, 23 ], [ 65, 103, 0 ], [ 65, 104, 85 ], [ 65, 105, 103 ], [ 65, 106, 86 ], [ 65, 107, 46 ], [ 65, 108, 23 ], [ 65, 109, 7 ], [ 65, 110, 99 ], [ 65, 111, 73 ], [ 65, 112, 104 ], [ 65, 113, 46 ], [ 65, 114, 0 ], [ 65, 115, 7 ], [ 65, 116, 26 ], [ 65, 117, 73 ], [ 65, 118, 42 ], [ 65, 119, 103 ], [ 66, 0, 0 ], [ 66, 1, 15 ], [ 66, 2, 26 ], [ 66, 3, 41 ], [ 66, 4, 73 ], [ 66, 5, 82 ], [ 66, 6, 111 ], [ 66, 7, 112 ], [ 66, 8, 41 ], [ 66, 9, 26 ], [ 66, 10, 82 ], [ 66, 11, 73 ], [ 66, 12, 112 ], [ 66, 13, 111 ], [ 66, 14, 15 ], [ 66, 15, 0 ], [ 66, 16, 73 ], [ 66, 17, 82 ], [ 66, 18, 111 ], [ 66, 19, 112 ], [ 66, 20, 0 ], [ 66, 21, 15 ], [ 66, 22, 26 ], [ 66, 23, 41 ], [ 66, 24, 29 ], [ 66, 25, 77 ], [ 66, 26, 3 ], [ 66, 27, 81 ], [ 66, 28, 12 ], [ 66, 29, 38 ], [ 66, 30, 111 ], [ 66, 31, 112 ], [ 66, 32, 81 ], [ 66, 33, 3 ], [ 66, 34, 38 ], [ 66, 35, 12 ], [ 66, 36, 112 ], [ 66, 37, 111 ], [ 66, 38, 77 ], [ 66, 39, 29 ], [ 66, 40, 12 ], [ 66, 41, 38 ], [ 66, 42, 111 ], [ 66, 43, 112 ], [ 66, 44, 29 ], [ 66, 45, 77 ], [ 66, 46, 3 ], [ 66, 47, 81 ], [ 66, 48, 29 ], [ 66, 49, 77 ], [ 66, 50, 116 ], [ 66, 51, 86 ], [ 66, 52, 107 ], [ 66, 53, 33 ], [ 66, 54, 0 ], [ 66, 55, 15 ], [ 66, 56, 86 ], [ 66, 57, 116 ], [ 66, 58, 33 ], [ 66, 59, 107 ], [ 66, 60, 15 ], [ 66, 61, 0 ], [ 66, 62, 77 ], [ 66, 63, 29 ], [ 66, 64, 107 ], [ 66, 65, 33 ], [ 66, 66, 0 ], [ 66, 67, 15 ], [ 66, 68, 29 ], [ 66, 69, 77 ], [ 66, 70, 116 ], [ 66, 71, 86 ], [ 66, 72, 3 ], [ 66, 73, 81 ], [ 66, 74, 116 ], [ 66, 75, 86 ], [ 66, 76, 99 ], [ 66, 77, 11 ], [ 66, 78, 26 ], [ 66, 79, 41 ], [ 66, 80, 86 ], [ 66, 81, 116 ], [ 66, 82, 11 ], [ 66, 83, 99 ], [ 66, 84, 41 ], [ 66, 85, 26 ], [ 66, 86, 81 ], [ 66, 87, 3 ], [ 66, 88, 99 ], [ 66, 89, 11 ], [ 66, 90, 26 ], [ 66, 91, 41 ], [ 66, 92, 3 ], [ 66, 93, 81 ], [ 66, 94, 116 ], [ 66, 95, 86 ], [ 66, 96, 12 ], [ 66, 97, 38 ], [ 66, 98, 107 ], [ 66, 99, 33 ], [ 66, 100, 99 ], [ 66, 101, 11 ], [ 66, 102, 73 ], [ 66, 103, 82 ], [ 66, 104, 33 ], [ 66, 105, 107 ], [ 66, 106, 11 ], [ 66, 107, 99 ], [ 66, 108, 82 ], [ 66, 109, 73 ], [ 66, 110, 38 ], [ 66, 111, 12 ], [ 66, 112, 99 ], [ 66, 113, 11 ], [ 66, 114, 73 ], [ 66, 115, 82 ], [ 66, 116, 12 ], [ 66, 117, 38 ], [ 66, 118, 107 ], [ 66, 119, 33 ], [ 67, 0, 0 ], [ 67, 1, 15 ], [ 67, 2, 78 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 5, 29 ], [ 67, 6, 111 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 9, 77 ], [ 67, 10, 46 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 13, 112 ], [ 67, 14, 20 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 17, 37 ], [ 67, 18, 108 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 21, 0 ], [ 67, 22, 93 ], [ 67, 23, 78 ], [ 67, 24, 29 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 27, 15 ], [ 67, 28, 78 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 31, 112 ], [ 67, 32, 63 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 35, 0 ], [ 67, 36, 108 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 39, 77 ], [ 67, 40, 56 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 43, 111 ], [ 67, 44, 52 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 47, 37 ], [ 67, 48, 29 ], [ 67, 49, 77 ], [ 67, 50, 46 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 53, 111 ], [ 67, 54, 0 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 57, 112 ], [ 67, 58, 63 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 61, 15 ], [ 67, 62, 52 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 65, 93 ], [ 67, 66, 20 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 69, 29 ], [ 67, 70, 56 ], [ 67, 71, 46 ], [ 67, 72, 37 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 75, 112 ], [ 67, 76, 20 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 79, 77 ], [ 67, 80, 56 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 83, 108 ], [ 67, 84, 93 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 87, 15 ], [ 67, 88, 52 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 91, 78 ], [ 67, 92, 63 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 95, 46 ], [ 67, 96, 78 ], [ 67, 97, 0 ], [ 67, 98, 93 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 101, 108 ], [ 67, 102, 37 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 105, 111 ], [ 67, 106, 52 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 109, 29 ], [ 67, 110, 56 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 113, 20 ], [ 67, 114, 46 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 117, 78 ], [ 67, 118, 63 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 1, 81 ], [ 68, 2, 26 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 5, 16 ], [ 68, 6, 11 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 9, 78 ], [ 68, 10, 100 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 13, 85 ], [ 68, 14, 119 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 17, 29 ], [ 68, 18, 30 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 21, 15 ], [ 68, 22, 107 ], [ 68, 23, 41 ], [ 68, 24, 29 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 27, 15 ], [ 68, 28, 78 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 31, 119 ], [ 68, 32, 85 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 35, 26 ], [ 68, 36, 107 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 39, 16 ], [ 68, 40, 30 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 43, 100 ], [ 68, 44, 11 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 47, 81 ], [ 68, 48, 103 ], [ 68, 49, 107 ], [ 68, 50, 16 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 53, 85 ], [ 68, 54, 30 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 57, 100 ], [ 68, 58, 15 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 61, 26 ], [ 68, 62, 81 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 65, 11 ], [ 68, 66, 29 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 69, 78 ], [ 68, 70, 119 ], [ 68, 71, 89 ], [ 68, 72, 100 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 75, 30 ], [ 68, 76, 81 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 79, 11 ], [ 68, 80, 78 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 83, 119 ], [ 68, 84, 15 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 87, 29 ], [ 68, 88, 107 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 91, 16 ], [ 68, 92, 26 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 95, 85 ], [ 68, 96, 115 ], [ 68, 97, 119 ], [ 68, 98, 26 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 101, 11 ], [ 68, 102, 85 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 105, 107 ], [ 68, 106, 29 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 109, 81 ], [ 68, 110, 16 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 113, 30 ], [ 68, 114, 78 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 117, 15 ], [ 68, 118, 100 ], [ 68, 119, 8 ], [ 69, 0, 0 ], [ 69, 1, 81 ], [ 69, 2, 12 ], [ 69, 3, 41 ], [ 69, 4, 73 ], [ 69, 5, 29 ], [ 69, 6, 11 ], [ 69, 7, 89 ], [ 69, 8, 23 ], [ 69, 9, 107 ], [ 69, 10, 90 ], [ 69, 11, 103 ], [ 69, 12, 7 ], [ 69, 13, 33 ], [ 69, 14, 20 ], [ 69, 15, 119 ], [ 69, 16, 46 ], [ 69, 17, 116 ], [ 69, 18, 86 ], [ 69, 19, 30 ], [ 69, 20, 94 ], [ 69, 21, 99 ], [ 69, 22, 42 ], [ 69, 23, 96 ], [ 69, 24, 29 ], [ 69, 25, 41 ], [ 69, 26, 73 ], [ 69, 27, 81 ], [ 69, 28, 12 ], [ 69, 29, 0 ], [ 69, 30, 99 ], [ 69, 31, 119 ], [ 69, 32, 51 ], [ 69, 33, 33 ], [ 69, 34, 60 ], [ 69, 35, 30 ], [ 69, 36, 96 ], [ 69, 37, 107 ], [ 69, 38, 52 ], [ 69, 39, 89 ], [ 69, 40, 56 ], [ 69, 41, 86 ], [ 69, 42, 116 ], [ 69, 43, 103 ], [ 69, 44, 64 ], [ 69, 45, 11 ], [ 69, 46, 55 ], [ 69, 47, 7 ], [ 69, 48, 103 ], [ 69, 49, 107 ], [ 69, 50, 90 ], [ 69, 51, 89 ], [ 69, 52, 23 ], [ 69, 53, 11 ], [ 69, 54, 30 ], [ 69, 55, 33 ], [ 69, 56, 60 ], [ 69, 57, 119 ], [ 69, 58, 51 ], [ 69, 59, 99 ], [ 69, 60, 42 ], [ 69, 61, 41 ], [ 69, 62, 55 ], [ 69, 63, 81 ], [ 69, 64, 64 ], [ 69, 65, 94 ], [ 69, 66, 46 ], [ 69, 67, 29 ], [ 69, 68, 56 ], [ 69, 69, 0 ], [ 69, 70, 52 ], [ 69, 71, 20 ], [ 69, 72, 116 ], [ 69, 73, 119 ], [ 69, 74, 46 ], [ 69, 75, 33 ], [ 69, 76, 20 ], [ 69, 77, 7 ], [ 69, 78, 86 ], [ 69, 79, 89 ], [ 69, 80, 56 ], [ 69, 81, 107 ], [ 69, 82, 52 ], [ 69, 83, 96 ], [ 69, 84, 94 ], [ 69, 85, 81 ], [ 69, 86, 64 ], [ 69, 87, 41 ], [ 69, 88, 55 ], [ 69, 89, 42 ], [ 69, 90, 90 ], [ 69, 91, 73 ], [ 69, 92, 60 ], [ 69, 93, 12 ], [ 69, 94, 51 ], [ 69, 95, 23 ], [ 69, 96, 96 ], [ 69, 97, 99 ], [ 69, 98, 42 ], [ 69, 99, 30 ], [ 69, 100, 94 ], [ 69, 101, 86 ], [ 69, 102, 7 ], [ 69, 103, 11 ], [ 69, 104, 55 ], [ 69, 105, 103 ], [ 69, 106, 64 ], [ 69, 107, 116 ], [ 69, 108, 20 ], [ 69, 109, 0 ], [ 69, 110, 52 ], [ 69, 111, 29 ], [ 69, 112, 56 ], [ 69, 113, 46 ], [ 69, 114, 23 ], [ 69, 115, 12 ], [ 69, 116, 51 ], [ 69, 117, 73 ], [ 69, 118, 60 ], [ 69, 119, 90 ], [ 70, 0, 0 ], [ 70, 1, 25 ], [ 70, 2, 78 ], [ 70, 3, 41 ], [ 70, 4, 73 ], [ 70, 5, 16 ], [ 70, 6, 7 ], [ 70, 7, 30 ], [ 70, 8, 96 ], [ 70, 9, 41 ], [ 70, 10, 103 ], [ 70, 11, 16 ], [ 70, 12, 89 ], [ 70, 13, 30 ], [ 70, 14, 119 ], [ 70, 15, 25 ], [ 70, 16, 103 ], [ 70, 17, 73 ], [ 70, 18, 89 ], [ 70, 19, 7 ], [ 70, 20, 119 ], [ 70, 21, 0 ], [ 70, 22, 96 ], [ 70, 23, 78 ], [ 70, 24, 29 ], [ 70, 25, 4 ], [ 70, 26, 37 ], [ 70, 27, 81 ], [ 70, 28, 12 ], [ 70, 29, 74 ], [ 70, 30, 96 ], [ 70, 31, 103 ], [ 70, 32, 7 ], [ 70, 33, 81 ], [ 70, 34, 30 ], [ 70, 35, 74 ], [ 70, 36, 119 ], [ 70, 37, 103 ], [ 70, 38, 89 ], [ 70, 39, 4 ], [ 70, 40, 30 ], [ 70, 41, 12 ], [ 70, 42, 119 ], [ 70, 43, 96 ], [ 70, 44, 89 ], [ 70, 45, 29 ], [ 70, 46, 7 ], [ 70, 47, 37 ], [ 70, 48, 37 ], [ 70, 49, 12 ], [ 70, 50, 29 ], [ 70, 51, 111 ], [ 70, 52, 4 ], [ 70, 53, 108 ], [ 70, 54, 78 ], [ 70, 55, 73 ], [ 70, 56, 0 ], [ 70, 57, 111 ], [ 70, 58, 25 ], [ 70, 59, 108 ], [ 70, 60, 89 ], [ 70, 61, 73 ], [ 70, 62, 119 ], [ 70, 63, 12 ], [ 70, 64, 25 ], [ 70, 65, 4 ], [ 70, 66, 89 ], [ 70, 67, 78 ], [ 70, 68, 119 ], [ 70, 69, 37 ], [ 70, 70, 0 ], [ 70, 71, 29 ], [ 70, 72, 29 ], [ 70, 73, 74 ], [ 70, 74, 37 ], [ 70, 75, 108 ], [ 70, 76, 81 ], [ 70, 77, 111 ], [ 70, 78, 0 ], [ 70, 79, 16 ], [ 70, 80, 78 ], [ 70, 81, 108 ], [ 70, 82, 41 ], [ 70, 83, 111 ], [ 70, 84, 7 ], [ 70, 85, 16 ], [ 70, 86, 96 ], [ 70, 87, 74 ], [ 70, 88, 41 ], [ 70, 89, 81 ], [ 70, 90, 7 ], [ 70, 91, 0 ], [ 70, 92, 96 ], [ 70, 93, 29 ], [ 70, 94, 78 ], [ 70, 95, 37 ], [ 70, 96, 4 ], [ 70, 97, 81 ], [ 70, 98, 12 ], [ 70, 99, 111 ], [ 70, 100, 74 ], [ 70, 101, 108 ], [ 70, 102, 25 ], [ 70, 103, 41 ], [ 70, 104, 73 ], [ 70, 105, 111 ], [ 70, 106, 16 ], [ 70, 107, 108 ], [ 70, 108, 30 ], [ 70, 109, 41 ], [ 70, 110, 103 ], [ 70, 111, 81 ], [ 70, 112, 16 ], [ 70, 113, 74 ], [ 70, 114, 30 ], [ 70, 115, 25 ], [ 70, 116, 103 ], [ 70, 117, 4 ], [ 70, 118, 73 ], [ 70, 119, 12 ], [ 71, 0, 0 ], [ 71, 1, 25 ], [ 71, 2, 12 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 5, 82 ], [ 71, 6, 7 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 9, 115 ], [ 71, 10, 29 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 13, 86 ], [ 71, 14, 15 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 17, 103 ], [ 71, 18, 34 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 21, 99 ], [ 71, 22, 78 ], [ 71, 23, 96 ], [ 71, 24, 29 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 27, 15 ], [ 71, 28, 78 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 31, 103 ], [ 71, 32, 25 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 35, 86 ], [ 71, 36, 99 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 39, 34 ], [ 71, 40, 12 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 43, 115 ], [ 71, 44, 82 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 47, 7 ], [ 71, 48, 37 ], [ 71, 49, 12 ], [ 71, 50, 103 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 53, 34 ], [ 71, 54, 78 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 57, 99 ], [ 71, 58, 7 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 61, 82 ], [ 71, 62, 115 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 65, 25 ], [ 71, 66, 86 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 69, 15 ], [ 71, 70, 29 ], [ 71, 71, 0 ], [ 71, 72, 82 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 75, 7 ], [ 71, 76, 99 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 79, 29 ], [ 71, 80, 86 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 83, 115 ], [ 71, 84, 34 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 87, 78 ], [ 71, 88, 15 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 91, 25 ], [ 71, 92, 103 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 95, 12 ], [ 71, 96, 77 ], [ 71, 97, 25 ], [ 71, 98, 115 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 101, 86 ], [ 71, 102, 15 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 105, 103 ], [ 71, 106, 34 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 109, 12 ], [ 71, 110, 99 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 113, 82 ], [ 71, 114, 7 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 117, 29 ], [ 71, 118, 78 ], [ 71, 119, 37 ], [ 72, 0, 0 ], [ 72, 1, 4 ], [ 72, 2, 8 ], [ 72, 3, 7 ], [ 72, 4, 23 ], [ 72, 5, 19 ], [ 72, 6, 30 ], [ 72, 7, 42 ], [ 72, 8, 38 ], [ 72, 9, 25 ], [ 72, 10, 41 ], [ 72, 11, 29 ], [ 72, 12, 56 ], [ 72, 13, 68 ], [ 72, 14, 60 ], [ 72, 15, 52 ], [ 72, 16, 63 ], [ 72, 17, 51 ], [ 72, 18, 107 ], [ 72, 19, 111 ], [ 72, 20, 115 ], [ 72, 21, 99 ], [ 72, 22, 116 ], [ 72, 23, 100 ], [ 72, 24, 38 ], [ 72, 25, 41 ], [ 72, 26, 60 ], [ 72, 27, 63 ], [ 72, 28, 115 ], [ 72, 29, 116 ], [ 72, 30, 56 ], [ 72, 31, 107 ], [ 72, 32, 0 ], [ 72, 33, 81 ], [ 72, 34, 4 ], [ 72, 35, 82 ], [ 72, 36, 30 ], [ 72, 37, 111 ], [ 72, 38, 8 ], [ 72, 39, 89 ], [ 72, 40, 7 ], [ 72, 41, 85 ], [ 72, 42, 42 ], [ 72, 43, 68 ], [ 72, 44, 23 ], [ 72, 45, 94 ], [ 72, 46, 19 ], [ 72, 47, 90 ], [ 72, 48, 8 ], [ 72, 49, 23 ], [ 72, 50, 56 ], [ 72, 51, 51 ], [ 72, 52, 107 ], [ 72, 53, 100 ], [ 72, 54, 60 ], [ 72, 55, 115 ], [ 72, 56, 30 ], [ 72, 57, 85 ], [ 72, 58, 42 ], [ 72, 59, 90 ], [ 72, 60, 0 ], [ 72, 61, 99 ], [ 72, 62, 38 ], [ 72, 63, 94 ], [ 72, 64, 25 ], [ 72, 65, 81 ], [ 72, 66, 4 ], [ 72, 67, 52 ], [ 72, 68, 41 ], [ 72, 69, 89 ], [ 72, 70, 29 ], [ 72, 71, 82 ], [ 72, 72, 0 ], [ 72, 73, 19 ], [ 72, 74, 30 ], [ 72, 75, 29 ], [ 72, 76, 111 ], [ 72, 77, 99 ], [ 72, 78, 38 ], [ 72, 79, 116 ], [ 72, 80, 56 ], [ 72, 81, 82 ], [ 72, 82, 68 ], [ 72, 83, 94 ], [ 72, 84, 8 ], [ 72, 85, 100 ], [ 72, 86, 60 ], [ 72, 87, 90 ], [ 72, 88, 52 ], [ 72, 89, 89 ], [ 72, 90, 7 ], [ 72, 91, 25 ], [ 72, 92, 63 ], [ 72, 93, 81 ], [ 72, 94, 51 ], [ 72, 95, 85 ], [ 72, 96, 4 ], [ 72, 97, 7 ], [ 72, 98, 42 ], [ 72, 99, 25 ], [ 72, 100, 68 ], [ 72, 101, 52 ], [ 72, 102, 41 ], [ 72, 103, 63 ], [ 72, 104, 107 ], [ 72, 105, 81 ], [ 72, 106, 111 ], [ 72, 107, 89 ], [ 72, 108, 23 ], [ 72, 109, 51 ], [ 72, 110, 115 ], [ 72, 111, 85 ], [ 72, 112, 99 ], [ 72, 113, 94 ], [ 72, 114, 19 ], [ 72, 115, 29 ], [ 72, 116, 116 ], [ 72, 117, 82 ], [ 72, 118, 100 ], [ 72, 119, 90 ], [ 73, 0, 0 ], [ 73, 1, 4 ], [ 73, 2, 23 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 5, 11 ], [ 73, 6, 30 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 9, 34 ], [ 73, 10, 38 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 13, 104 ], [ 73, 14, 119 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 17, 107 ], [ 73, 18, 71 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 21, 67 ], [ 73, 22, 60 ], [ 73, 23, 56 ], [ 73, 24, 38 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 27, 119 ], [ 73, 28, 60 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 31, 107 ], [ 73, 32, 4 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 35, 104 ], [ 73, 36, 67 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 39, 71 ], [ 73, 40, 23 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 43, 34 ], [ 73, 44, 11 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 47, 30 ], [ 73, 48, 8 ], [ 73, 49, 23 ], [ 73, 50, 107 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 53, 71 ], [ 73, 54, 60 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 57, 67 ], [ 73, 58, 30 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 61, 11 ], [ 73, 62, 34 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 65, 4 ], [ 73, 66, 104 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 69, 119 ], [ 73, 70, 38 ], [ 73, 71, 0 ], [ 73, 72, 11 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 75, 30 ], [ 73, 76, 67 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 79, 38 ], [ 73, 80, 104 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 83, 34 ], [ 73, 84, 71 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 87, 60 ], [ 73, 88, 119 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 91, 4 ], [ 73, 92, 107 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 95, 23 ], [ 73, 96, 20 ], [ 73, 97, 4 ], [ 73, 98, 34 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 101, 104 ], [ 73, 102, 119 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 105, 107 ], [ 73, 106, 71 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 109, 23 ], [ 73, 110, 67 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 113, 11 ], [ 73, 114, 30 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 117, 38 ], [ 73, 118, 60 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 1, 20 ], [ 74, 2, 8 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 5, 0 ], [ 74, 6, 48 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 9, 52 ], [ 74, 10, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 13, 25 ], [ 74, 14, 38 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 17, 26 ], [ 74, 18, 100 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 21, 99 ], [ 74, 22, 119 ], [ 74, 23, 100 ], [ 74, 24, 38 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 27, 119 ], [ 74, 28, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 31, 89 ], [ 74, 32, 8 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 35, 86 ], [ 74, 36, 78 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 39, 81 ], [ 74, 40, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 43, 94 ], [ 74, 44, 20 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 47, 90 ], [ 74, 48, 26 ], [ 74, 49, 100 ], [ 74, 50, 8 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 53, 26 ], [ 74, 54, 78 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 57, 90 ], [ 74, 58, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 61, 73 ], [ 74, 62, 48 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 65, 86 ], [ 74, 66, 89 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 69, 77 ], [ 74, 70, 52 ], [ 74, 71, 89 ], [ 74, 72, 48 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 75, 99 ], [ 74, 76, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 79, 94 ], [ 74, 80, 38 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 83, 86 ], [ 74, 84, 78 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 87, 77 ], [ 74, 88, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 91, 73 ], [ 74, 92, 25 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 95, 81 ], [ 74, 96, 52 ], [ 74, 97, 25 ], [ 74, 98, 20 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 101, 52 ], [ 74, 102, 89 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 105, 81 ], [ 74, 106, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 109, 73 ], [ 74, 110, 100 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 113, 90 ], [ 74, 114, 94 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 117, 77 ], [ 74, 118, 99 ], [ 74, 119, 94 ], [ 75, 0, 0 ], [ 75, 1, 20 ], [ 75, 2, 3 ], [ 75, 3, 7 ], [ 75, 4, 23 ], [ 75, 5, 11 ], [ 75, 6, 48 ], [ 75, 7, 52 ], [ 75, 8, 63 ], [ 75, 9, 55 ], [ 75, 10, 64 ], [ 75, 11, 67 ], [ 75, 12, 100 ], [ 75, 13, 96 ], [ 75, 14, 119 ], [ 75, 15, 104 ], [ 75, 16, 115 ], [ 75, 17, 112 ], [ 75, 18, 26 ], [ 75, 19, 29 ], [ 75, 20, 38 ], [ 75, 21, 45 ], [ 75, 22, 37 ], [ 75, 23, 33 ], [ 75, 24, 38 ], [ 75, 25, 119 ], [ 75, 26, 37 ], [ 75, 27, 63 ], [ 75, 28, 115 ], [ 75, 29, 64 ], [ 75, 30, 86 ], [ 75, 31, 89 ], [ 75, 32, 7 ], [ 75, 33, 33 ], [ 75, 34, 11 ], [ 75, 35, 112 ], [ 75, 36, 90 ], [ 75, 37, 93 ], [ 75, 38, 20 ], [ 75, 39, 45 ], [ 75, 40, 23 ], [ 75, 41, 67 ], [ 75, 42, 78 ], [ 75, 43, 82 ], [ 75, 44, 0 ], [ 75, 45, 104 ], [ 75, 46, 3 ], [ 75, 47, 55 ], [ 75, 48, 26 ], [ 75, 49, 100 ], [ 75, 50, 33 ], [ 75, 51, 3 ], [ 75, 52, 112 ], [ 75, 53, 23 ], [ 75, 54, 78 ], [ 75, 55, 90 ], [ 75, 56, 55 ], [ 75, 57, 37 ], [ 75, 58, 67 ], [ 75, 59, 115 ], [ 75, 60, 89 ], [ 75, 61, 82 ], [ 75, 62, 52 ], [ 75, 63, 29 ], [ 75, 64, 64 ], [ 75, 65, 11 ], [ 75, 66, 86 ], [ 75, 67, 93 ], [ 75, 68, 48 ], [ 75, 69, 96 ], [ 75, 70, 63 ], [ 75, 71, 7 ], [ 75, 72, 29 ], [ 75, 73, 48 ], [ 75, 74, 45 ], [ 75, 75, 0 ], [ 75, 76, 67 ], [ 75, 77, 11 ], [ 75, 78, 82 ], [ 75, 79, 86 ], [ 75, 80, 104 ], [ 75, 81, 38 ], [ 75, 82, 112 ], [ 75, 83, 64 ], [ 75, 84, 93 ], [ 75, 85, 78 ], [ 75, 86, 96 ], [ 75, 87, 26 ], [ 75, 88, 115 ], [ 75, 89, 23 ], [ 75, 90, 90 ], [ 75, 91, 89 ], [ 75, 92, 100 ], [ 75, 93, 52 ], [ 75, 94, 119 ], [ 75, 95, 20 ], [ 75, 96, 96 ], [ 75, 97, 52 ], [ 75, 98, 104 ], [ 75, 99, 20 ], [ 75, 100, 55 ], [ 75, 101, 7 ], [ 75, 102, 93 ], [ 75, 103, 89 ], [ 75, 104, 45 ], [ 75, 105, 119 ], [ 75, 106, 33 ], [ 75, 107, 63 ], [ 75, 108, 82 ], [ 75, 109, 90 ], [ 75, 110, 29 ], [ 75, 111, 100 ], [ 75, 112, 37 ], [ 75, 113, 3 ], [ 75, 114, 78 ], [ 75, 115, 86 ], [ 75, 116, 26 ], [ 75, 117, 48 ], [ 75, 118, 38 ], [ 75, 119, 0 ], [ 76, 0, 0 ], [ 76, 1, 7 ], [ 76, 2, 23 ], [ 76, 3, 7 ], [ 76, 4, 23 ], [ 76, 5, 0 ], [ 76, 6, 111 ], [ 76, 7, 104 ], [ 76, 8, 115 ], [ 76, 9, 104 ], [ 76, 10, 115 ], [ 76, 11, 111 ], [ 76, 12, 33 ], [ 76, 13, 42 ], [ 76, 14, 38 ], [ 76, 15, 42 ], [ 76, 16, 38 ], [ 76, 17, 33 ], [ 76, 18, 56 ], [ 76, 19, 67 ], [ 76, 20, 63 ], [ 76, 21, 67 ], [ 76, 22, 63 ], [ 76, 23, 56 ], [ 76, 24, 38 ], [ 76, 25, 63 ], [ 76, 26, 115 ], [ 76, 27, 63 ], [ 76, 28, 115 ], [ 76, 29, 38 ], [ 76, 30, 68 ], [ 76, 31, 45 ], [ 76, 32, 23 ], [ 76, 33, 45 ], [ 76, 34, 23 ], [ 76, 35, 68 ], [ 76, 36, 55 ], [ 76, 37, 107 ], [ 76, 38, 0 ], [ 76, 39, 107 ], [ 76, 40, 0 ], [ 76, 41, 55 ], [ 76, 42, 30 ], [ 76, 43, 112 ], [ 76, 44, 7 ], [ 76, 45, 112 ], [ 76, 46, 7 ], [ 76, 47, 30 ], [ 76, 48, 33 ], [ 76, 49, 56 ], [ 76, 50, 23 ], [ 76, 51, 56 ], [ 76, 52, 23 ], [ 76, 53, 33 ], [ 76, 54, 55 ], [ 76, 55, 30 ], [ 76, 56, 115 ], [ 76, 57, 30 ], [ 76, 58, 115 ], [ 76, 59, 55 ], [ 76, 60, 68 ], [ 76, 61, 12 ], [ 76, 62, 111 ], [ 76, 63, 12 ], [ 76, 64, 111 ], [ 76, 65, 68 ], [ 76, 66, 45 ], [ 76, 67, 15 ], [ 76, 68, 104 ], [ 76, 69, 15 ], [ 76, 70, 104 ], [ 76, 71, 45 ], [ 76, 72, 111 ], [ 76, 73, 67 ], [ 76, 74, 0 ], [ 76, 75, 67 ], [ 76, 76, 0 ], [ 76, 77, 111 ], [ 76, 78, 68 ], [ 76, 79, 112 ], [ 76, 80, 38 ], [ 76, 81, 112 ], [ 76, 82, 38 ], [ 76, 83, 68 ], [ 76, 84, 55 ], [ 76, 85, 15 ], [ 76, 86, 33 ], [ 76, 87, 15 ], [ 76, 88, 33 ], [ 76, 89, 55 ], [ 76, 90, 107 ], [ 76, 91, 12 ], [ 76, 92, 42 ], [ 76, 93, 12 ], [ 76, 94, 42 ], [ 76, 95, 107 ], [ 76, 96, 104 ], [ 76, 97, 42 ], [ 76, 98, 7 ], [ 76, 99, 42 ], [ 76, 100, 7 ], [ 76, 101, 104 ], [ 76, 102, 45 ], [ 76, 103, 107 ], [ 76, 104, 63 ], [ 76, 105, 107 ], [ 76, 106, 63 ], [ 76, 107, 45 ], [ 76, 108, 30 ], [ 76, 109, 12 ], [ 76, 110, 56 ], [ 76, 111, 12 ], [ 76, 112, 56 ], [ 76, 113, 30 ], [ 76, 114, 112 ], [ 76, 115, 15 ], [ 76, 116, 67 ], [ 76, 117, 15 ], [ 76, 118, 67 ], [ 76, 119, 112 ], [ 77, 0, 0 ], [ 77, 1, 7 ], [ 77, 2, 3 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 5, 19 ], [ 77, 6, 111 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 9, 108 ], [ 77, 10, 119 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 13, 55 ], [ 77, 14, 60 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 17, 56 ], [ 77, 18, 46 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 21, 45 ], [ 77, 22, 38 ], [ 77, 23, 33 ], [ 77, 24, 38 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 27, 119 ], [ 77, 28, 60 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 31, 45 ], [ 77, 32, 19 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 35, 46 ], [ 77, 36, 108 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 39, 111 ], [ 77, 40, 7 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 43, 56 ], [ 77, 44, 3 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 47, 55 ], [ 77, 48, 33 ], [ 77, 49, 56 ], [ 77, 50, 46 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 53, 3 ], [ 77, 54, 55 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 57, 60 ], [ 77, 58, 108 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 61, 38 ], [ 77, 62, 119 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 65, 45 ], [ 77, 66, 19 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 69, 7 ], [ 77, 70, 111 ], [ 77, 71, 68 ], [ 77, 72, 45 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 75, 19 ], [ 77, 76, 111 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 79, 46 ], [ 77, 80, 56 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 83, 38 ], [ 77, 84, 7 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 87, 3 ], [ 77, 88, 55 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 91, 119 ], [ 77, 92, 60 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 95, 108 ], [ 77, 96, 68 ], [ 77, 97, 108 ], [ 77, 98, 55 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 101, 7 ], [ 77, 102, 111 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 105, 119 ], [ 77, 106, 45 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 109, 60 ], [ 77, 110, 38 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 113, 56 ], [ 77, 114, 3 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 117, 19 ], [ 77, 118, 46 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 1, 4 ], [ 78, 2, 56 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 5, 103 ], [ 78, 6, 30 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 9, 55 ], [ 78, 10, 115 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 13, 42 ], [ 78, 14, 12 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 17, 107 ], [ 78, 18, 26 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 21, 0 ], [ 78, 22, 60 ], [ 78, 23, 56 ], [ 78, 24, 74 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 27, 85 ], [ 78, 28, 93 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 31, 115 ], [ 78, 32, 30 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 35, 90 ], [ 78, 36, 12 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 39, 77 ], [ 78, 40, 42 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 43, 60 ], [ 78, 44, 26 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 47, 86 ], [ 78, 48, 86 ], [ 78, 49, 93 ], [ 78, 50, 74 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 53, 82 ], [ 78, 54, 56 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 57, 81 ], [ 78, 58, 4 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 61, 107 ], [ 78, 62, 12 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 65, 77 ], [ 78, 66, 26 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 69, 86 ], [ 78, 70, 0 ], [ 78, 71, 74 ], [ 78, 72, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 75, 82 ], [ 78, 76, 85 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 79, 103 ], [ 78, 80, 56 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 83, 81 ], [ 78, 84, 30 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 87, 90 ], [ 78, 88, 55 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 91, 0 ], [ 78, 92, 60 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 95, 86 ], [ 78, 96, 77 ], [ 78, 97, 85 ], [ 78, 98, 93 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 101, 82 ], [ 78, 102, 4 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 105, 81 ], [ 78, 106, 103 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 109, 55 ], [ 78, 110, 115 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 113, 90 ], [ 78, 114, 42 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 117, 77 ], [ 78, 118, 107 ], [ 78, 119, 93 ], [ 79, 0, 0 ], [ 79, 1, 4 ], [ 79, 2, 107 ], [ 79, 3, 104 ], [ 79, 4, 56 ], [ 79, 5, 59 ], [ 79, 6, 30 ], [ 79, 7, 42 ], [ 79, 8, 115 ], [ 79, 9, 108 ], [ 79, 10, 60 ], [ 79, 11, 67 ], [ 79, 12, 33 ], [ 79, 13, 25 ], [ 79, 14, 15 ], [ 79, 15, 7 ], [ 79, 16, 63 ], [ 79, 17, 51 ], [ 79, 18, 46 ], [ 79, 19, 29 ], [ 79, 20, 16 ], [ 79, 21, 19 ], [ 79, 22, 116 ], [ 79, 23, 100 ], [ 79, 24, 74 ], [ 79, 25, 77 ], [ 79, 26, 93 ], [ 79, 27, 94 ], [ 79, 28, 86 ], [ 79, 29, 89 ], [ 79, 30, 60 ], [ 79, 31, 115 ], [ 79, 32, 42 ], [ 79, 33, 67 ], [ 79, 34, 30 ], [ 79, 35, 108 ], [ 79, 36, 63 ], [ 79, 37, 15 ], [ 79, 38, 25 ], [ 79, 39, 51 ], [ 79, 40, 33 ], [ 79, 41, 7 ], [ 79, 42, 116 ], [ 79, 43, 16 ], [ 79, 44, 29 ], [ 79, 45, 100 ], [ 79, 46, 46 ], [ 79, 47, 19 ], [ 79, 48, 86 ], [ 79, 49, 93 ], [ 79, 50, 77 ], [ 79, 51, 89 ], [ 79, 52, 74 ], [ 79, 53, 94 ], [ 79, 54, 56 ], [ 79, 55, 107 ], [ 79, 56, 4 ], [ 79, 57, 59 ], [ 79, 58, 0 ], [ 79, 59, 104 ], [ 79, 60, 51 ], [ 79, 61, 33 ], [ 79, 62, 7 ], [ 79, 63, 63 ], [ 79, 64, 15 ], [ 79, 65, 25 ], [ 79, 66, 100 ], [ 79, 67, 46 ], [ 79, 68, 19 ], [ 79, 69, 116 ], [ 79, 70, 16 ], [ 79, 71, 29 ], [ 79, 72, 89 ], [ 79, 73, 74 ], [ 79, 74, 94 ], [ 79, 75, 86 ], [ 79, 76, 93 ], [ 79, 77, 77 ], [ 79, 78, 59 ], [ 79, 79, 0 ], [ 79, 80, 104 ], [ 79, 81, 56 ], [ 79, 82, 107 ], [ 79, 83, 4 ], [ 79, 84, 67 ], [ 79, 85, 30 ], [ 79, 86, 108 ], [ 79, 87, 60 ], [ 79, 88, 115 ], [ 79, 89, 42 ], [ 79, 90, 19 ], [ 79, 91, 29 ], [ 79, 92, 100 ], [ 79, 93, 16 ], [ 79, 94, 116 ], [ 79, 95, 46 ], [ 79, 96, 94 ], [ 79, 97, 77 ], [ 79, 98, 89 ], [ 79, 99, 93 ], [ 79, 100, 86 ], [ 79, 101, 74 ], [ 79, 102, 104 ], [ 79, 103, 4 ], [ 79, 104, 59 ], [ 79, 105, 107 ], [ 79, 106, 56 ], [ 79, 107, 0 ], [ 79, 108, 108 ], [ 79, 109, 42 ], [ 79, 110, 67 ], [ 79, 111, 115 ], [ 79, 112, 60 ], [ 79, 113, 30 ], [ 79, 114, 7 ], [ 79, 115, 25 ], [ 79, 116, 51 ], [ 79, 117, 15 ], [ 79, 118, 63 ], [ 79, 119, 33 ], [ 80, 0, 0 ], [ 80, 1, 104 ], [ 80, 2, 56 ], [ 80, 3, 104 ], [ 80, 4, 56 ], [ 80, 5, 0 ], [ 80, 6, 0 ], [ 80, 7, 104 ], [ 80, 8, 38 ], [ 80, 9, 104 ], [ 80, 10, 38 ], [ 80, 11, 0 ], [ 80, 12, 56 ], [ 80, 13, 104 ], [ 80, 14, 38 ], [ 80, 15, 104 ], [ 80, 16, 38 ], [ 80, 17, 56 ], [ 80, 18, 56 ], [ 80, 19, 0 ], [ 80, 20, 38 ], [ 80, 21, 0 ], [ 80, 22, 38 ], [ 80, 23, 56 ], [ 80, 24, 74 ], [ 80, 25, 94 ], [ 80, 26, 86 ], [ 80, 27, 94 ], [ 80, 28, 86 ], [ 80, 29, 74 ], [ 80, 30, 74 ], [ 80, 31, 94 ], [ 80, 32, 38 ], [ 80, 33, 94 ], [ 80, 34, 38 ], [ 80, 35, 74 ], [ 80, 36, 86 ], [ 80, 37, 94 ], [ 80, 38, 38 ], [ 80, 39, 94 ], [ 80, 40, 38 ], [ 80, 41, 86 ], [ 80, 42, 86 ], [ 80, 43, 74 ], [ 80, 44, 38 ], [ 80, 45, 74 ], [ 80, 46, 38 ], [ 80, 47, 86 ], [ 80, 48, 78 ], [ 80, 49, 82 ], [ 80, 50, 86 ], [ 80, 51, 82 ], [ 80, 52, 86 ], [ 80, 53, 78 ], [ 80, 54, 78 ], [ 80, 55, 82 ], [ 80, 56, 56 ], [ 80, 57, 82 ], [ 80, 58, 56 ], [ 80, 59, 78 ], [ 80, 60, 86 ], [ 80, 61, 82 ], [ 80, 62, 56 ], [ 80, 63, 82 ], [ 80, 64, 56 ], [ 80, 65, 86 ], [ 80, 66, 86 ], [ 80, 67, 78 ], [ 80, 68, 56 ], [ 80, 69, 78 ], [ 80, 70, 56 ], [ 80, 71, 86 ], [ 80, 72, 78 ], [ 80, 73, 81 ], [ 80, 74, 74 ], [ 80, 75, 81 ], [ 80, 76, 74 ], [ 80, 77, 78 ], [ 80, 78, 78 ], [ 80, 79, 81 ], [ 80, 80, 0 ], [ 80, 81, 81 ], [ 80, 82, 0 ], [ 80, 83, 78 ], [ 80, 84, 74 ], [ 80, 85, 81 ], [ 80, 86, 0 ], [ 80, 87, 81 ], [ 80, 88, 0 ], [ 80, 89, 74 ], [ 80, 90, 74 ], [ 80, 91, 78 ], [ 80, 92, 0 ], [ 80, 93, 78 ], [ 80, 94, 0 ], [ 80, 95, 74 ], [ 80, 96, 82 ], [ 80, 97, 81 ], [ 80, 98, 94 ], [ 80, 99, 81 ], [ 80, 100, 94 ], [ 80, 101, 82 ], [ 80, 102, 82 ], [ 80, 103, 81 ], [ 80, 104, 104 ], [ 80, 105, 81 ], [ 80, 106, 104 ], [ 80, 107, 82 ], [ 80, 108, 94 ], [ 80, 109, 81 ], [ 80, 110, 104 ], [ 80, 111, 81 ], [ 80, 112, 104 ], [ 80, 113, 94 ], [ 80, 114, 94 ], [ 80, 115, 82 ], [ 80, 116, 104 ], [ 80, 117, 82 ], [ 80, 118, 104 ], [ 80, 119, 94 ], [ 81, 0, 0 ], [ 81, 1, 104 ], [ 81, 2, 3 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 5, 59 ], [ 81, 6, 0 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 9, 25 ], [ 81, 10, 119 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 13, 55 ], [ 81, 14, 15 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 17, 33 ], [ 81, 18, 107 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 21, 45 ], [ 81, 22, 63 ], [ 81, 23, 33 ], [ 81, 24, 74 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 27, 85 ], [ 81, 28, 93 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 31, 94 ], [ 81, 32, 25 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 35, 119 ], [ 81, 36, 73 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 39, 15 ], [ 81, 40, 33 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 43, 89 ], [ 81, 44, 45 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 47, 63 ], [ 81, 48, 78 ], [ 81, 49, 82 ], [ 81, 50, 85 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 53, 93 ], [ 81, 54, 78 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 57, 3 ], [ 81, 58, 59 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 61, 73 ], [ 81, 62, 55 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 65, 33 ], [ 81, 66, 89 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 69, 107 ], [ 81, 70, 63 ], [ 81, 71, 33 ], [ 81, 72, 82 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 75, 74 ], [ 81, 76, 93 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 79, 78 ], [ 81, 80, 104 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 83, 59 ], [ 81, 84, 94 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 87, 0 ], [ 81, 88, 119 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 91, 89 ], [ 81, 92, 107 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 95, 45 ], [ 81, 96, 78 ], [ 81, 97, 82 ], [ 81, 98, 74 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 101, 85 ], [ 81, 102, 78 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 105, 104 ], [ 81, 106, 3 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 109, 94 ], [ 81, 110, 0 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 113, 25 ], [ 81, 114, 73 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 117, 55 ], [ 81, 118, 15 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 1, 55 ], [ 82, 2, 107 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 5, 0 ], [ 82, 6, 11 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 9, 52 ], [ 82, 10, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 13, 68 ], [ 82, 14, 38 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 17, 112 ], [ 82, 18, 100 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 21, 19 ], [ 82, 22, 37 ], [ 82, 23, 100 ], [ 82, 24, 74 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 27, 85 ], [ 82, 28, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 31, 11 ], [ 82, 32, 41 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 35, 52 ], [ 82, 36, 68 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 39, 112 ], [ 82, 40, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 43, 100 ], [ 82, 44, 37 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 47, 19 ], [ 82, 48, 85 ], [ 82, 49, 74 ], [ 82, 50, 93 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 53, 85 ], [ 82, 54, 55 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 57, 0 ], [ 82, 58, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 61, 38 ], [ 82, 62, 112 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 65, 68 ], [ 82, 66, 19 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 69, 37 ], [ 82, 70, 100 ], [ 82, 71, 19 ], [ 82, 72, 85 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 75, 93 ], [ 82, 76, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 79, 107 ], [ 82, 80, 0 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 83, 55 ], [ 82, 84, 52 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 87, 41 ], [ 82, 88, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 91, 37 ], [ 82, 92, 19 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 95, 100 ], [ 82, 96, 74 ], [ 82, 97, 93 ], [ 82, 98, 85 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 101, 74 ], [ 82, 102, 0 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 105, 107 ], [ 82, 106, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 109, 41 ], [ 82, 110, 52 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 113, 11 ], [ 82, 114, 112 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 117, 38 ], [ 82, 118, 68 ], [ 82, 119, 112 ], [ 83, 0, 0 ], [ 83, 1, 55 ], [ 83, 2, 3 ], [ 83, 3, 104 ], [ 83, 4, 56 ], [ 83, 5, 103 ], [ 83, 6, 11 ], [ 83, 7, 52 ], [ 83, 8, 16 ], [ 83, 9, 34 ], [ 83, 10, 64 ], [ 83, 11, 29 ], [ 83, 12, 23 ], [ 83, 13, 96 ], [ 83, 14, 12 ], [ 83, 15, 42 ], [ 83, 16, 115 ], [ 83, 17, 26 ], [ 83, 18, 71 ], [ 83, 19, 111 ], [ 83, 20, 63 ], [ 83, 21, 45 ], [ 83, 22, 119 ], [ 83, 23, 33 ], [ 83, 24, 74 ], [ 83, 25, 85 ], [ 83, 26, 73 ], [ 83, 27, 94 ], [ 83, 28, 86 ], [ 83, 29, 90 ], [ 83, 30, 52 ], [ 83, 31, 11 ], [ 83, 32, 29 ], [ 83, 33, 64 ], [ 83, 34, 34 ], [ 83, 35, 16 ], [ 83, 36, 96 ], [ 83, 37, 23 ], [ 83, 38, 26 ], [ 83, 39, 115 ], [ 83, 40, 42 ], [ 83, 41, 12 ], [ 83, 42, 111 ], [ 83, 43, 71 ], [ 83, 44, 33 ], [ 83, 45, 119 ], [ 83, 46, 45 ], [ 83, 47, 63 ], [ 83, 48, 85 ], [ 83, 49, 74 ], [ 83, 50, 90 ], [ 83, 51, 86 ], [ 83, 52, 94 ], [ 83, 53, 73 ], [ 83, 54, 55 ], [ 83, 55, 0 ], [ 83, 56, 103 ], [ 83, 57, 56 ], [ 83, 58, 104 ], [ 83, 59, 3 ], [ 83, 60, 42 ], [ 83, 61, 12 ], [ 83, 62, 115 ], [ 83, 63, 26 ], [ 83, 64, 96 ], [ 83, 65, 23 ], [ 83, 66, 45 ], [ 83, 67, 63 ], [ 83, 68, 119 ], [ 83, 69, 33 ], [ 83, 70, 111 ], [ 83, 71, 71 ], [ 83, 72, 94 ], [ 83, 73, 73 ], [ 83, 74, 86 ], [ 83, 75, 90 ], [ 83, 76, 85 ], [ 83, 77, 74 ], [ 83, 78, 104 ], [ 83, 79, 3 ], [ 83, 80, 56 ], [ 83, 81, 103 ], [ 83, 82, 55 ], [ 83, 83, 0 ], [ 83, 84, 34 ], [ 83, 85, 16 ], [ 83, 86, 64 ], [ 83, 87, 29 ], [ 83, 88, 52 ], [ 83, 89, 11 ], [ 83, 90, 33 ], [ 83, 91, 119 ], [ 83, 92, 63 ], [ 83, 93, 45 ], [ 83, 94, 71 ], [ 83, 95, 111 ], [ 83, 96, 90 ], [ 83, 97, 86 ], [ 83, 98, 73 ], [ 83, 99, 94 ], [ 83, 100, 74 ], [ 83, 101, 85 ], [ 83, 102, 103 ], [ 83, 103, 56 ], [ 83, 104, 3 ], [ 83, 105, 104 ], [ 83, 106, 0 ], [ 83, 107, 55 ], [ 83, 108, 29 ], [ 83, 109, 64 ], [ 83, 110, 16 ], [ 83, 111, 34 ], [ 83, 112, 11 ], [ 83, 113, 52 ], [ 83, 114, 26 ], [ 83, 115, 115 ], [ 83, 116, 12 ], [ 83, 117, 42 ], [ 83, 118, 23 ], [ 83, 119, 96 ], [ 84, 0, 0 ], [ 84, 1, 20 ], [ 84, 2, 26 ], [ 84, 3, 42 ], [ 84, 4, 100 ], [ 84, 5, 103 ], [ 84, 6, 48 ], [ 84, 7, 52 ], [ 84, 8, 38 ], [ 84, 9, 34 ], [ 84, 10, 119 ], [ 84, 11, 111 ], [ 84, 12, 56 ], [ 84, 13, 55 ], [ 84, 14, 12 ], [ 84, 15, 7 ], [ 84, 16, 115 ], [ 84, 17, 112 ], [ 84, 18, 71 ], [ 84, 19, 67 ], [ 84, 20, 16 ], [ 84, 21, 11 ], [ 84, 22, 37 ], [ 84, 23, 33 ], [ 84, 24, 26 ], [ 84, 25, 100 ], [ 84, 26, 0 ], [ 84, 27, 103 ], [ 84, 28, 20 ], [ 84, 29, 42 ], [ 84, 30, 12 ], [ 84, 31, 16 ], [ 84, 32, 56 ], [ 84, 33, 82 ], [ 84, 34, 71 ], [ 84, 35, 93 ], [ 84, 36, 38 ], [ 84, 37, 37 ], [ 84, 38, 48 ], [ 84, 39, 73 ], [ 84, 40, 67 ], [ 84, 41, 94 ], [ 84, 42, 119 ], [ 84, 43, 115 ], [ 84, 44, 52 ], [ 84, 45, 77 ], [ 84, 46, 55 ], [ 84, 47, 81 ], [ 84, 48, 38 ], [ 84, 49, 119 ], [ 84, 50, 48 ], [ 84, 51, 111 ], [ 84, 52, 52 ], [ 84, 53, 34 ], [ 84, 54, 56 ], [ 84, 55, 71 ], [ 84, 56, 12 ], [ 84, 57, 93 ], [ 84, 58, 16 ], [ 84, 59, 82 ], [ 84, 60, 26 ], [ 84, 61, 33 ], [ 84, 62, 0 ], [ 84, 63, 81 ], [ 84, 64, 11 ], [ 84, 65, 77 ], [ 84, 66, 100 ], [ 84, 67, 112 ], [ 84, 68, 20 ], [ 84, 69, 94 ], [ 84, 70, 7 ], [ 84, 71, 73 ], [ 84, 72, 12 ], [ 84, 73, 115 ], [ 84, 74, 56 ], [ 84, 75, 112 ], [ 84, 76, 55 ], [ 84, 77, 7 ], [ 84, 78, 48 ], [ 84, 79, 67 ], [ 84, 80, 38 ], [ 84, 81, 94 ], [ 84, 82, 37 ], [ 84, 83, 73 ], [ 84, 84, 0 ], [ 84, 85, 11 ], [ 84, 86, 26 ], [ 84, 87, 77 ], [ 84, 88, 33 ], [ 84, 89, 81 ], [ 84, 90, 103 ], [ 84, 91, 111 ], [ 84, 92, 42 ], [ 84, 93, 93 ], [ 84, 94, 34 ], [ 84, 95, 82 ], [ 84, 96, 16 ], [ 84, 97, 37 ], [ 84, 98, 71 ], [ 84, 99, 33 ], [ 84, 100, 67 ], [ 84, 101, 11 ], [ 84, 102, 52 ], [ 84, 103, 55 ], [ 84, 104, 119 ], [ 84, 105, 81 ], [ 84, 106, 115 ], [ 84, 107, 77 ], [ 84, 108, 20 ], [ 84, 109, 7 ], [ 84, 110, 100 ], [ 84, 111, 73 ], [ 84, 112, 112 ], [ 84, 113, 94 ], [ 84, 114, 42 ], [ 84, 115, 34 ], [ 84, 116, 103 ], [ 84, 117, 82 ], [ 84, 118, 111 ], [ 84, 119, 93 ], [ 85, 0, 0 ], [ 85, 1, 20 ], [ 85, 2, 107 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 5, 29 ], [ 85, 6, 48 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 9, 104 ], [ 85, 10, 41 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 13, 68 ], [ 85, 14, 16 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 17, 26 ], [ 85, 18, 56 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 21, 19 ], [ 85, 22, 119 ], [ 85, 23, 100 ], [ 85, 24, 26 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 27, 19 ], [ 85, 28, 104 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 31, 16 ], [ 85, 32, 68 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 35, 107 ], [ 85, 36, 119 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 39, 29 ], [ 85, 40, 56 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 43, 41 ], [ 85, 44, 48 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 47, 20 ], [ 85, 48, 38 ], [ 85, 49, 119 ], [ 85, 50, 29 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 53, 68 ], [ 85, 54, 56 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 57, 41 ], [ 85, 58, 19 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 61, 107 ], [ 85, 62, 20 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 65, 48 ], [ 85, 66, 26 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 69, 104 ], [ 85, 70, 16 ], [ 85, 71, 52 ], [ 85, 72, 41 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 75, 56 ], [ 85, 76, 20 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 79, 48 ], [ 85, 80, 104 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 83, 16 ], [ 85, 84, 19 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 87, 26 ], [ 85, 88, 119 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 91, 29 ], [ 85, 92, 107 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 95, 68 ], [ 85, 96, 116 ], [ 85, 97, 16 ], [ 85, 98, 107 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 101, 48 ], [ 85, 102, 68 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 105, 119 ], [ 85, 106, 26 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 109, 20 ], [ 85, 110, 29 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 113, 56 ], [ 85, 114, 104 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 117, 19 ], [ 85, 118, 41 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 1, 104 ], [ 86, 2, 26 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 5, 19 ], [ 86, 6, 0 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 9, 108 ], [ 86, 10, 64 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 13, 96 ], [ 86, 14, 60 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 17, 33 ], [ 86, 18, 46 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 21, 11 ], [ 86, 22, 63 ], [ 86, 23, 33 ], [ 86, 24, 26 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 27, 19 ], [ 86, 28, 104 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 31, 46 ], [ 86, 32, 60 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 35, 77 ], [ 86, 36, 0 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 39, 90 ], [ 86, 40, 63 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 43, 96 ], [ 86, 44, 64 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 47, 81 ], [ 86, 48, 60 ], [ 86, 49, 64 ], [ 86, 50, 0 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 53, 108 ], [ 86, 54, 60 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 57, 77 ], [ 86, 58, 46 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 61, 11 ], [ 86, 62, 26 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 65, 81 ], [ 86, 66, 104 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 69, 90 ], [ 86, 70, 33 ], [ 86, 71, 81 ], [ 86, 72, 60 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 75, 33 ], [ 86, 76, 96 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 79, 63 ], [ 86, 80, 0 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 83, 90 ], [ 86, 84, 26 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 87, 81 ], [ 86, 88, 11 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 91, 108 ], [ 86, 92, 19 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 95, 77 ], [ 86, 96, 64 ], [ 86, 97, 63 ], [ 86, 98, 46 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 101, 11 ], [ 86, 102, 64 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 105, 81 ], [ 86, 106, 96 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 109, 33 ], [ 86, 110, 104 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 113, 90 ], [ 86, 114, 19 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 117, 77 ], [ 86, 118, 108 ], [ 86, 119, 90 ], [ 87, 0, 0 ], [ 87, 1, 104 ], [ 87, 2, 23 ], [ 87, 3, 42 ], [ 87, 4, 100 ], [ 87, 5, 29 ], [ 87, 6, 0 ], [ 87, 7, 104 ], [ 87, 8, 16 ], [ 87, 9, 52 ], [ 87, 10, 115 ], [ 87, 11, 67 ], [ 87, 12, 23 ], [ 87, 13, 42 ], [ 87, 14, 16 ], [ 87, 15, 52 ], [ 87, 16, 38 ], [ 87, 17, 56 ], [ 87, 18, 100 ], [ 87, 19, 29 ], [ 87, 20, 115 ], [ 87, 21, 67 ], [ 87, 22, 38 ], [ 87, 23, 56 ], [ 87, 24, 26 ], [ 87, 25, 46 ], [ 87, 26, 99 ], [ 87, 27, 103 ], [ 87, 28, 20 ], [ 87, 29, 4 ], [ 87, 30, 26 ], [ 87, 31, 46 ], [ 87, 32, 52 ], [ 87, 33, 16 ], [ 87, 34, 67 ], [ 87, 35, 115 ], [ 87, 36, 99 ], [ 87, 37, 103 ], [ 87, 38, 52 ], [ 87, 39, 16 ], [ 87, 40, 56 ], [ 87, 41, 38 ], [ 87, 42, 20 ], [ 87, 43, 4 ], [ 87, 44, 67 ], [ 87, 45, 115 ], [ 87, 46, 56 ], [ 87, 47, 38 ], [ 87, 48, 60 ], [ 87, 49, 64 ], [ 87, 50, 103 ], [ 87, 51, 99 ], [ 87, 52, 4 ], [ 87, 53, 20 ], [ 87, 54, 60 ], [ 87, 55, 64 ], [ 87, 56, 42 ], [ 87, 57, 23 ], [ 87, 58, 29 ], [ 87, 59, 100 ], [ 87, 60, 103 ], [ 87, 61, 99 ], [ 87, 62, 42 ], [ 87, 63, 23 ], [ 87, 64, 38 ], [ 87, 65, 56 ], [ 87, 66, 4 ], [ 87, 67, 20 ], [ 87, 68, 29 ], [ 87, 69, 100 ], [ 87, 70, 38 ], [ 87, 71, 56 ], [ 87, 72, 64 ], [ 87, 73, 60 ], [ 87, 74, 46 ], [ 87, 75, 26 ], [ 87, 76, 20 ], [ 87, 77, 4 ], [ 87, 78, 64 ], [ 87, 79, 60 ], [ 87, 80, 104 ], [ 87, 81, 0 ], [ 87, 82, 100 ], [ 87, 83, 29 ], [ 87, 84, 46 ], [ 87, 85, 26 ], [ 87, 86, 104 ], [ 87, 87, 0 ], [ 87, 88, 115 ], [ 87, 89, 67 ], [ 87, 90, 20 ], [ 87, 91, 4 ], [ 87, 92, 100 ], [ 87, 93, 29 ], [ 87, 94, 115 ], [ 87, 95, 67 ], [ 87, 96, 60 ], [ 87, 97, 64 ], [ 87, 98, 26 ], [ 87, 99, 46 ], [ 87, 100, 99 ], [ 87, 101, 103 ], [ 87, 102, 60 ], [ 87, 103, 64 ], [ 87, 104, 0 ], [ 87, 105, 104 ], [ 87, 106, 23 ], [ 87, 107, 42 ], [ 87, 108, 26 ], [ 87, 109, 46 ], [ 87, 110, 0 ], [ 87, 111, 104 ], [ 87, 112, 16 ], [ 87, 113, 52 ], [ 87, 114, 99 ], [ 87, 115, 103 ], [ 87, 116, 23 ], [ 87, 117, 42 ], [ 87, 118, 16 ], [ 87, 119, 52 ], [ 88, 0, 0 ], [ 88, 1, 25 ], [ 88, 2, 107 ], [ 88, 3, 42 ], [ 88, 4, 100 ], [ 88, 5, 19 ], [ 88, 6, 19 ], [ 88, 7, 42 ], [ 88, 8, 63 ], [ 88, 9, 25 ], [ 88, 10, 60 ], [ 88, 11, 0 ], [ 88, 12, 100 ], [ 88, 13, 25 ], [ 88, 14, 60 ], [ 88, 15, 42 ], [ 88, 16, 63 ], [ 88, 17, 107 ], [ 88, 18, 107 ], [ 88, 19, 0 ], [ 88, 20, 63 ], [ 88, 21, 19 ], [ 88, 22, 60 ], [ 88, 23, 100 ], [ 88, 24, 26 ], [ 88, 25, 3 ], [ 88, 26, 45 ], [ 88, 27, 103 ], [ 88, 28, 20 ], [ 88, 29, 96 ], [ 88, 30, 96 ], [ 88, 31, 103 ], [ 88, 32, 63 ], [ 88, 33, 3 ], [ 88, 34, 60 ], [ 88, 35, 26 ], [ 88, 36, 20 ], [ 88, 37, 3 ], [ 88, 38, 60 ], [ 88, 39, 103 ], [ 88, 40, 63 ], [ 88, 41, 45 ], [ 88, 42, 45 ], [ 88, 43, 26 ], [ 88, 44, 63 ], [ 88, 45, 96 ], [ 88, 46, 60 ], [ 88, 47, 20 ], [ 88, 48, 37 ], [ 88, 49, 12 ], [ 88, 50, 45 ], [ 88, 51, 48 ], [ 88, 52, 20 ], [ 88, 53, 55 ], [ 88, 54, 55 ], [ 88, 55, 48 ], [ 88, 56, 107 ], [ 88, 57, 12 ], [ 88, 58, 100 ], [ 88, 59, 37 ], [ 88, 60, 20 ], [ 88, 61, 12 ], [ 88, 62, 100 ], [ 88, 63, 48 ], [ 88, 64, 107 ], [ 88, 65, 45 ], [ 88, 66, 45 ], [ 88, 67, 37 ], [ 88, 68, 107 ], [ 88, 69, 55 ], [ 88, 70, 100 ], [ 88, 71, 20 ], [ 88, 72, 37 ], [ 88, 73, 119 ], [ 88, 74, 26 ], [ 88, 75, 71 ], [ 88, 76, 96 ], [ 88, 77, 55 ], [ 88, 78, 55 ], [ 88, 79, 71 ], [ 88, 80, 0 ], [ 88, 81, 119 ], [ 88, 82, 19 ], [ 88, 83, 37 ], [ 88, 84, 96 ], [ 88, 85, 119 ], [ 88, 86, 19 ], [ 88, 87, 71 ], [ 88, 88, 0 ], [ 88, 89, 26 ], [ 88, 90, 26 ], [ 88, 91, 37 ], [ 88, 92, 0 ], [ 88, 93, 55 ], [ 88, 94, 19 ], [ 88, 95, 96 ], [ 88, 96, 12 ], [ 88, 97, 119 ], [ 88, 98, 3 ], [ 88, 99, 71 ], [ 88, 100, 103 ], [ 88, 101, 48 ], [ 88, 102, 48 ], [ 88, 103, 71 ], [ 88, 104, 25 ], [ 88, 105, 119 ], [ 88, 106, 42 ], [ 88, 107, 12 ], [ 88, 108, 103 ], [ 88, 109, 119 ], [ 88, 110, 42 ], [ 88, 111, 71 ], [ 88, 112, 25 ], [ 88, 113, 3 ], [ 88, 114, 3 ], [ 88, 115, 12 ], [ 88, 116, 25 ], [ 88, 117, 48 ], [ 88, 118, 42 ], [ 88, 119, 103 ], [ 89, 0, 0 ], [ 89, 1, 25 ], [ 89, 2, 23 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 5, 103 ], [ 89, 6, 19 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 9, 55 ], [ 89, 10, 38 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 13, 104 ], [ 89, 14, 12 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 17, 51 ], [ 89, 18, 26 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 21, 67 ], [ 89, 22, 116 ], [ 89, 23, 56 ], [ 89, 24, 26 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 27, 19 ], [ 89, 28, 104 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 31, 103 ], [ 89, 32, 51 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 35, 12 ], [ 89, 36, 25 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 39, 116 ], [ 89, 40, 67 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 43, 23 ], [ 89, 44, 55 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 47, 38 ], [ 89, 48, 37 ], [ 89, 49, 12 ], [ 89, 50, 67 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 53, 25 ], [ 89, 54, 55 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 57, 26 ], [ 89, 58, 116 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 61, 38 ], [ 89, 62, 103 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 65, 23 ], [ 89, 66, 19 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 69, 51 ], [ 89, 70, 104 ], [ 89, 71, 46 ], [ 89, 72, 116 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 75, 23 ], [ 89, 76, 55 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 79, 51 ], [ 89, 80, 38 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 83, 19 ], [ 89, 84, 104 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 87, 67 ], [ 89, 88, 26 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 91, 12 ], [ 89, 92, 25 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 95, 103 ], [ 89, 96, 115 ], [ 89, 97, 38 ], [ 89, 98, 51 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 101, 103 ], [ 89, 102, 67 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 105, 104 ], [ 89, 106, 12 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 109, 116 ], [ 89, 110, 23 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 113, 25 ], [ 89, 114, 26 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 117, 55 ], [ 89, 118, 19 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 1, 7 ], [ 90, 2, 26 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 5, 59 ], [ 90, 6, 111 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 9, 25 ], [ 90, 10, 64 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 13, 96 ], [ 90, 14, 15 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 17, 56 ], [ 90, 18, 107 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 21, 11 ], [ 90, 22, 38 ], [ 90, 23, 33 ], [ 90, 24, 25 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 27, 56 ], [ 90, 28, 11 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 31, 38 ], [ 90, 32, 107 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 35, 7 ], [ 90, 36, 64 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 39, 26 ], [ 90, 40, 111 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 43, 15 ], [ 90, 44, 96 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 47, 59 ], [ 90, 48, 34 ], [ 90, 49, 59 ], [ 90, 50, 96 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 53, 38 ], [ 90, 54, 56 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 57, 111 ], [ 90, 58, 15 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 61, 107 ], [ 90, 62, 11 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 65, 25 ], [ 90, 66, 26 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 69, 64 ], [ 90, 70, 7 ], [ 90, 71, 48 ], [ 90, 72, 7 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 75, 64 ], [ 90, 76, 107 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 79, 11 ], [ 90, 80, 38 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 83, 96 ], [ 90, 84, 59 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 87, 15 ], [ 90, 88, 26 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 91, 111 ], [ 90, 92, 25 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 95, 56 ], [ 90, 96, 0 ], [ 90, 97, 26 ], [ 90, 98, 111 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 101, 15 ], [ 90, 102, 25 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 105, 107 ], [ 90, 106, 64 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 109, 96 ], [ 90, 110, 56 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 113, 11 ], [ 90, 114, 7 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 117, 38 ], [ 90, 118, 59 ], [ 90, 119, 33 ], [ 91, 0, 0 ], [ 91, 1, 7 ], [ 91, 2, 56 ], [ 91, 3, 52 ], [ 91, 4, 33 ], [ 91, 5, 29 ], [ 91, 6, 111 ], [ 91, 7, 104 ], [ 91, 8, 63 ], [ 91, 9, 52 ], [ 91, 10, 38 ], [ 91, 11, 29 ], [ 91, 12, 100 ], [ 91, 13, 104 ], [ 91, 14, 16 ], [ 91, 15, 7 ], [ 91, 16, 38 ], [ 91, 17, 33 ], [ 91, 18, 100 ], [ 91, 19, 111 ], [ 91, 20, 16 ], [ 91, 21, 0 ], [ 91, 22, 63 ], [ 91, 23, 56 ], [ 91, 24, 25 ], [ 91, 25, 48 ], [ 91, 26, 34 ], [ 91, 27, 8 ], [ 91, 28, 59 ], [ 91, 29, 3 ], [ 91, 30, 63 ], [ 91, 31, 38 ], [ 91, 32, 111 ], [ 91, 33, 8 ], [ 91, 34, 104 ], [ 91, 35, 3 ], [ 91, 36, 16 ], [ 91, 37, 38 ], [ 91, 38, 100 ], [ 91, 39, 48 ], [ 91, 40, 104 ], [ 91, 41, 59 ], [ 91, 42, 16 ], [ 91, 43, 63 ], [ 91, 44, 100 ], [ 91, 45, 25 ], [ 91, 46, 111 ], [ 91, 47, 34 ], [ 91, 48, 34 ], [ 91, 49, 59 ], [ 91, 50, 25 ], [ 91, 51, 119 ], [ 91, 52, 48 ], [ 91, 53, 116 ], [ 91, 54, 56 ], [ 91, 55, 33 ], [ 91, 56, 0 ], [ 91, 57, 119 ], [ 91, 58, 7 ], [ 91, 59, 116 ], [ 91, 60, 100 ], [ 91, 61, 33 ], [ 91, 62, 16 ], [ 91, 63, 59 ], [ 91, 64, 7 ], [ 91, 65, 48 ], [ 91, 66, 100 ], [ 91, 67, 56 ], [ 91, 68, 16 ], [ 91, 69, 34 ], [ 91, 70, 0 ], [ 91, 71, 25 ], [ 91, 72, 25 ], [ 91, 73, 3 ], [ 91, 74, 34 ], [ 91, 75, 116 ], [ 91, 76, 8 ], [ 91, 77, 119 ], [ 91, 78, 0 ], [ 91, 79, 29 ], [ 91, 80, 56 ], [ 91, 81, 116 ], [ 91, 82, 52 ], [ 91, 83, 119 ], [ 91, 84, 111 ], [ 91, 85, 29 ], [ 91, 86, 63 ], [ 91, 87, 3 ], [ 91, 88, 52 ], [ 91, 89, 8 ], [ 91, 90, 111 ], [ 91, 91, 0 ], [ 91, 92, 63 ], [ 91, 93, 25 ], [ 91, 94, 56 ], [ 91, 95, 34 ], [ 91, 96, 48 ], [ 91, 97, 8 ], [ 91, 98, 59 ], [ 91, 99, 119 ], [ 91, 100, 3 ], [ 91, 101, 116 ], [ 91, 102, 7 ], [ 91, 103, 52 ], [ 91, 104, 33 ], [ 91, 105, 119 ], [ 91, 106, 29 ], [ 91, 107, 116 ], [ 91, 108, 104 ], [ 91, 109, 52 ], [ 91, 110, 38 ], [ 91, 111, 8 ], [ 91, 112, 29 ], [ 91, 113, 3 ], [ 91, 114, 104 ], [ 91, 115, 7 ], [ 91, 116, 38 ], [ 91, 117, 48 ], [ 91, 118, 33 ], [ 91, 119, 59 ], [ 92, 0, 0 ], [ 92, 1, 55 ], [ 92, 2, 26 ], [ 92, 3, 52 ], [ 92, 4, 33 ], [ 92, 5, 11 ], [ 92, 6, 11 ], [ 92, 7, 52 ], [ 92, 8, 115 ], [ 92, 9, 55 ], [ 92, 10, 119 ], [ 92, 11, 0 ], [ 92, 12, 33 ], [ 92, 13, 55 ], [ 92, 14, 119 ], [ 92, 15, 52 ], [ 92, 16, 115 ], [ 92, 17, 26 ], [ 92, 18, 26 ], [ 92, 19, 0 ], [ 92, 20, 115 ], [ 92, 21, 11 ], [ 92, 22, 119 ], [ 92, 23, 33 ], [ 92, 24, 25 ], [ 92, 25, 30 ], [ 92, 26, 4 ], [ 92, 27, 8 ], [ 92, 28, 59 ], [ 92, 29, 51 ], [ 92, 30, 51 ], [ 92, 31, 8 ], [ 92, 32, 115 ], [ 92, 33, 30 ], [ 92, 34, 119 ], [ 92, 35, 25 ], [ 92, 36, 59 ], [ 92, 37, 30 ], [ 92, 38, 119 ], [ 92, 39, 8 ], [ 92, 40, 115 ], [ 92, 41, 4 ], [ 92, 42, 4 ], [ 92, 43, 25 ], [ 92, 44, 115 ], [ 92, 45, 51 ], [ 92, 46, 119 ], [ 92, 47, 59 ], [ 92, 48, 108 ], [ 92, 49, 99 ], [ 92, 50, 4 ], [ 92, 51, 15 ], [ 92, 52, 59 ], [ 92, 53, 60 ], [ 92, 54, 60 ], [ 92, 55, 15 ], [ 92, 56, 26 ], [ 92, 57, 99 ], [ 92, 58, 33 ], [ 92, 59, 108 ], [ 92, 60, 59 ], [ 92, 61, 99 ], [ 92, 62, 33 ], [ 92, 63, 15 ], [ 92, 64, 26 ], [ 92, 65, 4 ], [ 92, 66, 4 ], [ 92, 67, 108 ], [ 92, 68, 26 ], [ 92, 69, 60 ], [ 92, 70, 33 ], [ 92, 71, 59 ], [ 92, 72, 108 ], [ 92, 73, 107 ], [ 92, 74, 25 ], [ 92, 75, 41 ], [ 92, 76, 51 ], [ 92, 77, 60 ], [ 92, 78, 60 ], [ 92, 79, 41 ], [ 92, 80, 0 ], [ 92, 81, 107 ], [ 92, 82, 11 ], [ 92, 83, 108 ], [ 92, 84, 51 ], [ 92, 85, 107 ], [ 92, 86, 11 ], [ 92, 87, 41 ], [ 92, 88, 0 ], [ 92, 89, 25 ], [ 92, 90, 25 ], [ 92, 91, 108 ], [ 92, 92, 0 ], [ 92, 93, 60 ], [ 92, 94, 11 ], [ 92, 95, 51 ], [ 92, 96, 99 ], [ 92, 97, 107 ], [ 92, 98, 30 ], [ 92, 99, 41 ], [ 92, 100, 8 ], [ 92, 101, 15 ], [ 92, 102, 15 ], [ 92, 103, 41 ], [ 92, 104, 55 ], [ 92, 105, 107 ], [ 92, 106, 52 ], [ 92, 107, 99 ], [ 92, 108, 8 ], [ 92, 109, 107 ], [ 92, 110, 52 ], [ 92, 111, 41 ], [ 92, 112, 55 ], [ 92, 113, 30 ], [ 92, 114, 30 ], [ 92, 115, 99 ], [ 92, 116, 55 ], [ 92, 117, 15 ], [ 92, 118, 52 ], [ 92, 119, 8 ], [ 93, 0, 0 ], [ 93, 1, 55 ], [ 93, 2, 8 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 5, 29 ], [ 93, 6, 11 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 9, 104 ], [ 93, 10, 60 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 13, 25 ], [ 93, 14, 16 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 17, 112 ], [ 93, 18, 56 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 21, 99 ], [ 93, 22, 37 ], [ 93, 23, 100 ], [ 93, 24, 25 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 27, 56 ], [ 93, 28, 11 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 31, 8 ], [ 93, 32, 99 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 35, 37 ], [ 93, 36, 29 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 39, 60 ], [ 93, 40, 104 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 43, 55 ], [ 93, 44, 112 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 47, 16 ], [ 93, 48, 108 ], [ 93, 49, 99 ], [ 93, 50, 55 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 53, 16 ], [ 93, 54, 60 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 57, 112 ], [ 93, 58, 25 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 61, 11 ], [ 93, 62, 37 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 65, 56 ], [ 93, 66, 104 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 69, 8 ], [ 93, 70, 29 ], [ 93, 71, 3 ], [ 93, 72, 104 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 75, 37 ], [ 93, 76, 8 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 79, 16 ], [ 93, 80, 56 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 83, 99 ], [ 93, 84, 112 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 87, 29 ], [ 93, 88, 55 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 91, 25 ], [ 93, 92, 60 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 95, 11 ], [ 93, 96, 103 ], [ 93, 97, 112 ], [ 93, 98, 29 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 101, 60 ], [ 93, 102, 37 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 105, 104 ], [ 93, 106, 11 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 109, 56 ], [ 93, 110, 16 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 113, 25 ], [ 93, 114, 99 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 117, 55 ], [ 93, 118, 8 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 1, 25 ], [ 94, 2, 56 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 5, 11 ], [ 94, 6, 19 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 9, 34 ], [ 94, 10, 115 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 13, 42 ], [ 94, 14, 119 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 17, 51 ], [ 94, 18, 71 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 21, 0 ], [ 94, 22, 116 ], [ 94, 23, 56 ], [ 94, 24, 25 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 27, 56 ], [ 94, 28, 11 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 31, 78 ], [ 94, 32, 116 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 35, 51 ], [ 94, 36, 89 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 39, 0 ], [ 94, 40, 115 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 43, 73 ], [ 94, 44, 119 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 47, 34 ], [ 94, 48, 42 ], [ 94, 49, 19 ], [ 94, 50, 34 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 53, 115 ], [ 94, 54, 78 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 57, 116 ], [ 94, 58, 51 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 61, 73 ], [ 94, 62, 71 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 65, 11 ], [ 94, 66, 89 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 69, 42 ], [ 94, 70, 56 ], [ 94, 71, 34 ], [ 94, 72, 42 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 75, 119 ], [ 94, 76, 51 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 79, 89 ], [ 94, 80, 0 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 83, 115 ], [ 94, 84, 73 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 87, 71 ], [ 94, 88, 11 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 91, 78 ], [ 94, 92, 19 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 95, 25 ], [ 94, 96, 19 ], [ 94, 97, 71 ], [ 94, 98, 0 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 101, 116 ], [ 94, 102, 73 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 105, 119 ], [ 94, 106, 34 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 109, 89 ], [ 94, 110, 42 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 113, 56 ], [ 94, 114, 78 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 117, 19 ], [ 94, 118, 25 ], [ 94, 119, 0 ], [ 95, 0, 0 ], [ 95, 1, 25 ], [ 95, 2, 8 ], [ 95, 3, 52 ], [ 95, 4, 33 ], [ 95, 5, 59 ], [ 95, 6, 19 ], [ 95, 7, 42 ], [ 95, 8, 16 ], [ 95, 9, 108 ], [ 95, 10, 41 ], [ 95, 11, 111 ], [ 95, 12, 23 ], [ 95, 13, 68 ], [ 95, 14, 15 ], [ 95, 15, 104 ], [ 95, 16, 63 ], [ 95, 17, 107 ], [ 95, 18, 46 ], [ 95, 19, 67 ], [ 95, 20, 38 ], [ 95, 21, 99 ], [ 95, 22, 60 ], [ 95, 23, 100 ], [ 95, 24, 25 ], [ 95, 25, 0 ], [ 95, 26, 52 ], [ 95, 27, 8 ], [ 95, 28, 59 ], [ 95, 29, 33 ], [ 95, 30, 73 ], [ 95, 31, 78 ], [ 95, 32, 100 ], [ 95, 33, 60 ], [ 95, 34, 107 ], [ 95, 35, 63 ], [ 95, 36, 77 ], [ 95, 37, 86 ], [ 95, 38, 99 ], [ 95, 39, 38 ], [ 95, 40, 111 ], [ 95, 41, 41 ], [ 95, 42, 82 ], [ 95, 43, 85 ], [ 95, 44, 104 ], [ 95, 45, 15 ], [ 95, 46, 108 ], [ 95, 47, 16 ], [ 95, 48, 42 ], [ 95, 49, 19 ], [ 95, 50, 108 ], [ 95, 51, 16 ], [ 95, 52, 111 ], [ 95, 53, 41 ], [ 95, 54, 78 ], [ 95, 55, 73 ], [ 95, 56, 60 ], [ 95, 57, 100 ], [ 95, 58, 63 ], [ 95, 59, 107 ], [ 95, 60, 85 ], [ 95, 61, 82 ], [ 95, 62, 67 ], [ 95, 63, 46 ], [ 95, 64, 59 ], [ 95, 65, 33 ], [ 95, 66, 86 ], [ 95, 67, 77 ], [ 95, 68, 68 ], [ 95, 69, 23 ], [ 95, 70, 52 ], [ 95, 71, 8 ], [ 95, 72, 68 ], [ 95, 73, 23 ], [ 95, 74, 104 ], [ 95, 75, 15 ], [ 95, 76, 107 ], [ 95, 77, 63 ], [ 95, 78, 86 ], [ 95, 79, 77 ], [ 95, 80, 38 ], [ 95, 81, 99 ], [ 95, 82, 41 ], [ 95, 83, 111 ], [ 95, 84, 82 ], [ 95, 85, 85 ], [ 95, 86, 46 ], [ 95, 87, 67 ], [ 95, 88, 33 ], [ 95, 89, 59 ], [ 95, 90, 78 ], [ 95, 91, 73 ], [ 95, 92, 42 ], [ 95, 93, 19 ], [ 95, 94, 25 ], [ 95, 95, 0 ], [ 95, 96, 67 ], [ 95, 97, 46 ], [ 95, 98, 99 ], [ 95, 99, 38 ], [ 95, 100, 100 ], [ 95, 101, 60 ], [ 95, 102, 85 ], [ 95, 103, 82 ], [ 95, 104, 15 ], [ 95, 105, 104 ], [ 95, 106, 16 ], [ 95, 107, 108 ], [ 95, 108, 77 ], [ 95, 109, 86 ], [ 95, 110, 23 ], [ 95, 111, 68 ], [ 95, 112, 8 ], [ 95, 113, 52 ], [ 95, 114, 73 ], [ 95, 115, 78 ], [ 95, 116, 19 ], [ 95, 117, 42 ], [ 95, 118, 0 ], [ 95, 119, 25 ], [ 96, 0, 0 ], [ 96, 1, 3 ], [ 96, 2, 8 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 5, 16 ], [ 96, 6, 30 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 9, 45 ], [ 96, 10, 33 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 13, 64 ], [ 96, 14, 60 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 17, 67 ], [ 96, 18, 81 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 21, 94 ], [ 96, 22, 82 ], [ 96, 23, 90 ], [ 96, 24, 45 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 27, 67 ], [ 96, 28, 94 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 31, 82 ], [ 96, 32, 81 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 35, 3 ], [ 96, 36, 33 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 39, 8 ], [ 96, 40, 30 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 43, 60 ], [ 96, 44, 64 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 47, 16 ], [ 96, 48, 11 ], [ 96, 49, 16 ], [ 96, 50, 64 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 53, 82 ], [ 96, 54, 67 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 57, 30 ], [ 96, 58, 60 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 61, 81 ], [ 96, 62, 94 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 65, 45 ], [ 96, 66, 8 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 69, 33 ], [ 96, 70, 3 ], [ 96, 71, 46 ], [ 96, 72, 3 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 75, 33 ], [ 96, 76, 81 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 79, 94 ], [ 96, 80, 82 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 83, 64 ], [ 96, 84, 16 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 87, 60 ], [ 96, 88, 8 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 91, 30 ], [ 96, 92, 45 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 95, 67 ], [ 96, 96, 0 ], [ 96, 97, 8 ], [ 96, 98, 30 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 101, 60 ], [ 96, 102, 45 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 105, 81 ], [ 96, 106, 33 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 109, 64 ], [ 96, 110, 67 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 113, 94 ], [ 96, 114, 3 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 117, 82 ], [ 96, 118, 16 ], [ 96, 119, 90 ], [ 97, 0, 0 ], [ 97, 1, 3 ], [ 97, 2, 12 ], [ 97, 3, 16 ], [ 97, 4, 7 ], [ 97, 5, 11 ], [ 97, 6, 30 ], [ 97, 7, 37 ], [ 97, 8, 26 ], [ 97, 9, 46 ], [ 97, 10, 25 ], [ 97, 11, 45 ], [ 97, 12, 86 ], [ 97, 13, 82 ], [ 97, 14, 74 ], [ 97, 15, 90 ], [ 97, 16, 77 ], [ 97, 17, 93 ], [ 97, 18, 63 ], [ 97, 19, 59 ], [ 97, 20, 51 ], [ 97, 21, 67 ], [ 97, 22, 52 ], [ 97, 23, 68 ], [ 97, 24, 45 ], [ 97, 25, 46 ], [ 97, 26, 93 ], [ 97, 27, 90 ], [ 97, 28, 68 ], [ 97, 29, 67 ], [ 97, 30, 59 ], [ 97, 31, 82 ], [ 97, 32, 107 ], [ 97, 33, 3 ], [ 97, 34, 104 ], [ 97, 35, 0 ], [ 97, 36, 63 ], [ 97, 37, 37 ], [ 97, 38, 119 ], [ 97, 39, 16 ], [ 97, 40, 115 ], [ 97, 41, 12 ], [ 97, 42, 86 ], [ 97, 43, 30 ], [ 97, 44, 112 ], [ 97, 45, 11 ], [ 97, 46, 108 ], [ 97, 47, 7 ], [ 97, 48, 11 ], [ 97, 49, 16 ], [ 97, 50, 77 ], [ 97, 51, 82 ], [ 97, 52, 52 ], [ 97, 53, 59 ], [ 97, 54, 67 ], [ 97, 55, 90 ], [ 97, 56, 115 ], [ 97, 57, 37 ], [ 97, 58, 108 ], [ 97, 59, 30 ], [ 97, 60, 51 ], [ 97, 61, 3 ], [ 97, 62, 112 ], [ 97, 63, 46 ], [ 97, 64, 107 ], [ 97, 65, 26 ], [ 97, 66, 74 ], [ 97, 67, 0 ], [ 97, 68, 119 ], [ 97, 69, 45 ], [ 97, 70, 104 ], [ 97, 71, 25 ], [ 97, 72, 7 ], [ 97, 73, 3 ], [ 97, 74, 25 ], [ 97, 75, 37 ], [ 97, 76, 51 ], [ 97, 77, 63 ], [ 97, 78, 68 ], [ 97, 79, 46 ], [ 97, 80, 104 ], [ 97, 81, 82 ], [ 97, 82, 112 ], [ 97, 83, 86 ], [ 97, 84, 52 ], [ 97, 85, 16 ], [ 97, 86, 108 ], [ 97, 87, 90 ], [ 97, 88, 119 ], [ 97, 89, 74 ], [ 97, 90, 26 ], [ 97, 91, 12 ], [ 97, 92, 107 ], [ 97, 93, 93 ], [ 97, 94, 115 ], [ 97, 95, 77 ], [ 97, 96, 12 ], [ 97, 97, 0 ], [ 97, 98, 26 ], [ 97, 99, 30 ], [ 97, 100, 74 ], [ 97, 101, 86 ], [ 97, 102, 93 ], [ 97, 103, 45 ], [ 97, 104, 107 ], [ 97, 105, 59 ], [ 97, 106, 119 ], [ 97, 107, 63 ], [ 97, 108, 77 ], [ 97, 109, 11 ], [ 97, 110, 115 ], [ 97, 111, 67 ], [ 97, 112, 112 ], [ 97, 113, 51 ], [ 97, 114, 25 ], [ 97, 115, 7 ], [ 97, 116, 104 ], [ 97, 117, 68 ], [ 97, 118, 108 ], [ 97, 119, 52 ], [ 98, 0, 0 ], [ 98, 1, 15 ], [ 98, 2, 8 ], [ 98, 3, 16 ], [ 98, 4, 7 ], [ 98, 5, 4 ], [ 98, 6, 48 ], [ 98, 7, 51 ], [ 98, 8, 60 ], [ 98, 9, 71 ], [ 98, 10, 55 ], [ 98, 11, 68 ], [ 98, 12, 26 ], [ 98, 13, 29 ], [ 98, 14, 38 ], [ 98, 15, 45 ], [ 98, 16, 34 ], [ 98, 17, 42 ], [ 98, 18, 73 ], [ 98, 19, 77 ], [ 98, 20, 81 ], [ 98, 21, 94 ], [ 98, 22, 89 ], [ 98, 23, 90 ], [ 98, 24, 45 ], [ 98, 25, 94 ], [ 98, 26, 71 ], [ 98, 27, 90 ], [ 98, 28, 68 ], [ 98, 29, 42 ], [ 98, 30, 111 ], [ 98, 31, 112 ], [ 98, 32, 89 ], [ 98, 33, 8 ], [ 98, 34, 34 ], [ 98, 35, 7 ], [ 98, 36, 107 ], [ 98, 37, 103 ], [ 98, 38, 81 ], [ 98, 39, 0 ], [ 98, 40, 55 ], [ 98, 41, 4 ], [ 98, 42, 116 ], [ 98, 43, 115 ], [ 98, 44, 38 ], [ 98, 45, 15 ], [ 98, 46, 60 ], [ 98, 47, 16 ], [ 98, 48, 29 ], [ 98, 49, 77 ], [ 98, 50, 16 ], [ 98, 51, 89 ], [ 98, 52, 4 ], [ 98, 53, 34 ], [ 98, 54, 103 ], [ 98, 55, 115 ], [ 98, 56, 90 ], [ 98, 57, 60 ], [ 98, 58, 42 ], [ 98, 59, 55 ], [ 98, 60, 116 ], [ 98, 61, 111 ], [ 98, 62, 73 ], [ 98, 63, 48 ], [ 98, 64, 7 ], [ 98, 65, 68 ], [ 98, 66, 107 ], [ 98, 67, 112 ], [ 98, 68, 26 ], [ 98, 69, 51 ], [ 98, 70, 8 ], [ 98, 71, 71 ], [ 98, 72, 51 ], [ 98, 73, 73 ], [ 98, 74, 15 ], [ 98, 75, 81 ], [ 98, 76, 7 ], [ 98, 77, 55 ], [ 98, 78, 112 ], [ 98, 79, 116 ], [ 98, 80, 94 ], [ 98, 81, 38 ], [ 98, 82, 68 ], [ 98, 83, 34 ], [ 98, 84, 115 ], [ 98, 85, 107 ], [ 98, 86, 77 ], [ 98, 87, 26 ], [ 98, 88, 4 ], [ 98, 89, 42 ], [ 98, 90, 111 ], [ 98, 91, 103 ], [ 98, 92, 48 ], [ 98, 93, 29 ], [ 98, 94, 0 ], [ 98, 95, 45 ], [ 98, 96, 48 ], [ 98, 97, 26 ], [ 98, 98, 0 ], [ 98, 99, 38 ], [ 98, 100, 8 ], [ 98, 101, 60 ], [ 98, 102, 111 ], [ 98, 103, 107 ], [ 98, 104, 45 ], [ 98, 105, 81 ], [ 98, 106, 71 ], [ 98, 107, 89 ], [ 98, 108, 103 ], [ 98, 109, 116 ], [ 98, 110, 29 ], [ 98, 111, 73 ], [ 98, 112, 16 ], [ 98, 113, 90 ], [ 98, 114, 112 ], [ 98, 115, 115 ], [ 98, 116, 51 ], [ 98, 117, 77 ], [ 98, 118, 15 ], [ 98, 119, 94 ], [ 99, 0, 0 ], [ 99, 1, 15 ], [ 99, 2, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 5, 11 ], [ 99, 6, 48 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 9, 67 ], [ 99, 10, 51 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 13, 77 ], [ 99, 14, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 17, 94 ], [ 99, 18, 25 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 21, 45 ], [ 99, 22, 29 ], [ 99, 23, 45 ], [ 99, 24, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 27, 67 ], [ 99, 28, 94 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 31, 112 ], [ 99, 32, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 35, 11 ], [ 99, 36, 119 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 39, 15 ], [ 99, 40, 115 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 43, 103 ], [ 99, 44, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 47, 0 ], [ 99, 48, 29 ], [ 99, 49, 77 ], [ 99, 50, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 53, 11 ], [ 99, 54, 103 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 57, 67 ], [ 99, 58, 115 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 61, 112 ], [ 99, 62, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 65, 51 ], [ 99, 66, 96 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 69, 48 ], [ 99, 70, 111 ], [ 99, 71, 48 ], [ 99, 72, 25 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 75, 15 ], [ 99, 76, 51 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 79, 112 ], [ 99, 80, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 83, 94 ], [ 99, 84, 96 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 87, 77 ], [ 99, 88, 115 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 91, 119 ], [ 99, 92, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 95, 74 ], [ 99, 96, 74 ], [ 99, 97, 48 ], [ 99, 98, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 101, 0 ], [ 99, 102, 119 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 105, 45 ], [ 99, 106, 111 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 109, 103 ], [ 99, 110, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 113, 29 ], [ 99, 114, 96 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 117, 25 ], [ 99, 118, 104 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 1, 7 ], [ 100, 2, 12 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 5, 4 ], [ 100, 6, 86 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 9, 94 ], [ 100, 10, 85 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 13, 41 ], [ 100, 14, 38 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 17, 45 ], [ 100, 18, 55 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 21, 67 ], [ 100, 22, 59 ], [ 100, 23, 68 ], [ 100, 24, 45 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 27, 67 ], [ 100, 28, 94 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 31, 38 ], [ 100, 32, 41 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 35, 12 ], [ 100, 36, 59 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 39, 4 ], [ 100, 40, 55 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 43, 85 ], [ 100, 44, 86 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 47, 7 ], [ 100, 48, 34 ], [ 100, 49, 59 ], [ 100, 50, 4 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 53, 41 ], [ 100, 54, 55 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 57, 85 ], [ 100, 58, 67 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 61, 12 ], [ 100, 62, 7 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 65, 86 ], [ 100, 66, 45 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 69, 94 ], [ 100, 70, 38 ], [ 100, 71, 81 ], [ 100, 72, 85 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 75, 55 ], [ 100, 76, 7 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 79, 86 ], [ 100, 80, 94 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 83, 38 ], [ 100, 84, 67 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 87, 45 ], [ 100, 88, 59 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 91, 4 ], [ 100, 92, 12 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 95, 41 ], [ 100, 96, 78 ], [ 100, 97, 38 ], [ 100, 98, 12 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 101, 86 ], [ 100, 102, 41 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 105, 59 ], [ 100, 106, 45 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 109, 7 ], [ 100, 110, 4 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 113, 55 ], [ 100, 114, 94 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 117, 67 ], [ 100, 118, 85 ], [ 100, 119, 64 ], [ 101, 0, 0 ], [ 101, 1, 7 ], [ 101, 2, 0 ], [ 101, 3, 16 ], [ 101, 4, 7 ], [ 101, 5, 16 ], [ 101, 6, 86 ], [ 101, 7, 81 ], [ 101, 8, 86 ], [ 101, 9, 90 ], [ 101, 10, 81 ], [ 101, 11, 90 ], [ 101, 12, 60 ], [ 101, 13, 59 ], [ 101, 14, 60 ], [ 101, 15, 68 ], [ 101, 16, 59 ], [ 101, 17, 68 ], [ 101, 18, 37 ], [ 101, 19, 34 ], [ 101, 20, 37 ], [ 101, 21, 45 ], [ 101, 22, 34 ], [ 101, 23, 45 ], [ 101, 24, 45 ], [ 101, 25, 68 ], [ 101, 26, 45 ], [ 101, 27, 90 ], [ 101, 28, 68 ], [ 101, 29, 90 ], [ 101, 30, 63 ], [ 101, 31, 38 ], [ 101, 32, 63 ], [ 101, 33, 16 ], [ 101, 34, 38 ], [ 101, 35, 16 ], [ 101, 36, 89 ], [ 101, 37, 30 ], [ 101, 38, 89 ], [ 101, 39, 7 ], [ 101, 40, 30 ], [ 101, 41, 7 ], [ 101, 42, 82 ], [ 101, 43, 55 ], [ 101, 44, 82 ], [ 101, 45, 0 ], [ 101, 46, 55 ], [ 101, 47, 0 ], [ 101, 48, 34 ], [ 101, 49, 59 ], [ 101, 50, 34 ], [ 101, 51, 16 ], [ 101, 52, 59 ], [ 101, 53, 16 ], [ 101, 54, 55 ], [ 101, 55, 30 ], [ 101, 56, 55 ], [ 101, 57, 90 ], [ 101, 58, 30 ], [ 101, 59, 90 ], [ 101, 60, 20 ], [ 101, 61, 38 ], [ 101, 62, 20 ], [ 101, 63, 81 ], [ 101, 64, 38 ], [ 101, 65, 81 ], [ 101, 66, 19 ], [ 101, 67, 63 ], [ 101, 68, 19 ], [ 101, 69, 86 ], [ 101, 70, 63 ], [ 101, 71, 86 ], [ 101, 72, 37 ], [ 101, 73, 81 ], [ 101, 74, 37 ], [ 101, 75, 7 ], [ 101, 76, 81 ], [ 101, 77, 7 ], [ 101, 78, 82 ], [ 101, 79, 38 ], [ 101, 80, 82 ], [ 101, 81, 68 ], [ 101, 82, 38 ], [ 101, 83, 68 ], [ 101, 84, 19 ], [ 101, 85, 30 ], [ 101, 86, 19 ], [ 101, 87, 59 ], [ 101, 88, 30 ], [ 101, 89, 59 ], [ 101, 90, 20 ], [ 101, 91, 89 ], [ 101, 92, 20 ], [ 101, 93, 60 ], [ 101, 94, 89 ], [ 101, 95, 60 ], [ 101, 96, 60 ], [ 101, 97, 86 ], [ 101, 98, 60 ], [ 101, 99, 0 ], [ 101, 100, 86 ], [ 101, 101, 0 ], [ 101, 102, 89 ], [ 101, 103, 63 ], [ 101, 104, 89 ], [ 101, 105, 45 ], [ 101, 106, 63 ], [ 101, 107, 45 ], [ 101, 108, 20 ], [ 101, 109, 55 ], [ 101, 110, 20 ], [ 101, 111, 34 ], [ 101, 112, 55 ], [ 101, 113, 34 ], [ 101, 114, 19 ], [ 101, 115, 82 ], [ 101, 116, 19 ], [ 101, 117, 37 ], [ 101, 118, 82 ], [ 101, 119, 37 ], [ 102, 0, 0 ], [ 102, 1, 3 ], [ 102, 2, 56 ], [ 102, 3, 59 ], [ 102, 4, 81 ], [ 102, 5, 82 ], [ 102, 6, 30 ], [ 102, 7, 37 ], [ 102, 8, 60 ], [ 102, 9, 67 ], [ 102, 10, 85 ], [ 102, 11, 90 ], [ 102, 12, 26 ], [ 102, 13, 41 ], [ 102, 14, 12 ], [ 102, 15, 23 ], [ 102, 16, 77 ], [ 102, 17, 93 ], [ 102, 18, 25 ], [ 102, 19, 34 ], [ 102, 20, 7 ], [ 102, 21, 20 ], [ 102, 22, 52 ], [ 102, 23, 68 ], [ 102, 24, 99 ], [ 102, 25, 100 ], [ 102, 26, 112 ], [ 102, 27, 111 ], [ 102, 28, 119 ], [ 102, 29, 116 ], [ 102, 30, 67 ], [ 102, 31, 90 ], [ 102, 32, 85 ], [ 102, 33, 30 ], [ 102, 34, 60 ], [ 102, 35, 37 ], [ 102, 36, 23 ], [ 102, 37, 93 ], [ 102, 38, 77 ], [ 102, 39, 26 ], [ 102, 40, 12 ], [ 102, 41, 41 ], [ 102, 42, 20 ], [ 102, 43, 68 ], [ 102, 44, 52 ], [ 102, 45, 25 ], [ 102, 46, 7 ], [ 102, 47, 34 ], [ 102, 48, 111 ], [ 102, 49, 116 ], [ 102, 50, 119 ], [ 102, 51, 99 ], [ 102, 52, 112 ], [ 102, 53, 100 ], [ 102, 54, 59 ], [ 102, 55, 82 ], [ 102, 56, 81 ], [ 102, 57, 0 ], [ 102, 58, 56 ], [ 102, 59, 3 ], [ 102, 60, 41 ], [ 102, 61, 77 ], [ 102, 62, 93 ], [ 102, 63, 12 ], [ 102, 64, 26 ], [ 102, 65, 23 ], [ 102, 66, 34 ], [ 102, 67, 52 ], [ 102, 68, 68 ], [ 102, 69, 7 ], [ 102, 70, 25 ], [ 102, 71, 20 ], [ 102, 72, 100 ], [ 102, 73, 119 ], [ 102, 74, 116 ], [ 102, 75, 112 ], [ 102, 76, 99 ], [ 102, 77, 111 ], [ 102, 78, 3 ], [ 102, 79, 81 ], [ 102, 80, 82 ], [ 102, 81, 56 ], [ 102, 82, 0 ], [ 102, 83, 59 ], [ 102, 84, 37 ], [ 102, 85, 85 ], [ 102, 86, 90 ], [ 102, 87, 60 ], [ 102, 88, 30 ], [ 102, 89, 67 ], [ 102, 90, 25 ], [ 102, 91, 7 ], [ 102, 92, 20 ], [ 102, 93, 52 ], [ 102, 94, 34 ], [ 102, 95, 68 ], [ 102, 96, 99 ], [ 102, 97, 112 ], [ 102, 98, 111 ], [ 102, 99, 119 ], [ 102, 100, 100 ], [ 102, 101, 116 ], [ 102, 102, 0 ], [ 102, 103, 56 ], [ 102, 104, 59 ], [ 102, 105, 81 ], [ 102, 106, 3 ], [ 102, 107, 82 ], [ 102, 108, 30 ], [ 102, 109, 60 ], [ 102, 110, 67 ], [ 102, 111, 85 ], [ 102, 112, 37 ], [ 102, 113, 90 ], [ 102, 114, 26 ], [ 102, 115, 12 ], [ 102, 116, 23 ], [ 102, 117, 77 ], [ 102, 118, 41 ], [ 102, 119, 93 ], [ 103, 0, 0 ], [ 103, 1, 3 ], [ 103, 2, 78 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 5, 59 ], [ 103, 6, 30 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 9, 90 ], [ 103, 10, 55 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 13, 29 ], [ 103, 14, 0 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 17, 67 ], [ 103, 18, 37 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 21, 19 ], [ 103, 22, 82 ], [ 103, 23, 90 ], [ 103, 24, 99 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 27, 116 ], [ 103, 28, 108 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 31, 90 ], [ 103, 32, 115 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 35, 30 ], [ 103, 36, 67 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 39, 29 ], [ 103, 40, 111 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 43, 19 ], [ 103, 44, 100 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 47, 37 ], [ 103, 48, 111 ], [ 103, 49, 116 ], [ 103, 50, 107 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 53, 99 ], [ 103, 54, 59 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 57, 3 ], [ 103, 58, 104 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 61, 29 ], [ 103, 62, 111 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 65, 0 ], [ 103, 66, 82 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 69, 19 ], [ 103, 70, 100 ], [ 103, 71, 3 ], [ 103, 72, 108 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 75, 116 ], [ 103, 76, 107 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 79, 3 ], [ 103, 80, 104 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 83, 78 ], [ 103, 84, 55 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 87, 90 ], [ 103, 88, 115 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 91, 37 ], [ 103, 92, 100 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 95, 82 ], [ 103, 96, 115 ], [ 103, 97, 99 ], [ 103, 98, 107 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 101, 108 ], [ 103, 102, 78 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 105, 59 ], [ 103, 106, 104 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 109, 30 ], [ 103, 110, 115 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 113, 55 ], [ 103, 114, 0 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 117, 67 ], [ 103, 118, 111 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 1, 81 ], [ 104, 2, 56 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 5, 4 ], [ 104, 6, 0 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 9, 94 ], [ 104, 10, 25 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 13, 82 ], [ 104, 14, 38 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 17, 68 ], [ 104, 18, 55 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 21, 20 ], [ 104, 22, 34 ], [ 104, 23, 68 ], [ 104, 24, 99 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 27, 116 ], [ 104, 28, 108 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 31, 119 ], [ 104, 32, 94 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 35, 25 ], [ 104, 36, 112 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 39, 38 ], [ 104, 40, 68 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 43, 96 ], [ 104, 44, 20 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 47, 34 ], [ 104, 48, 103 ], [ 104, 49, 107 ], [ 104, 50, 116 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 53, 108 ], [ 104, 54, 103 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 57, 56 ], [ 104, 58, 4 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 61, 112 ], [ 104, 62, 82 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 65, 68 ], [ 104, 66, 96 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 69, 55 ], [ 104, 70, 34 ], [ 104, 71, 68 ], [ 104, 72, 107 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 75, 99 ], [ 104, 76, 108 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 79, 103 ], [ 104, 80, 81 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 83, 4 ], [ 104, 84, 119 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 87, 0 ], [ 104, 88, 25 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 91, 96 ], [ 104, 92, 55 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 95, 20 ], [ 104, 96, 103 ], [ 104, 97, 107 ], [ 104, 98, 99 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 101, 116 ], [ 104, 102, 103 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 105, 81 ], [ 104, 106, 56 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 109, 119 ], [ 104, 110, 0 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 113, 94 ], [ 104, 114, 112 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 117, 82 ], [ 104, 118, 38 ], [ 104, 119, 94 ], [ 105, 0, 0 ], [ 105, 1, 81 ], [ 105, 2, 0 ], [ 105, 3, 59 ], [ 105, 4, 81 ], [ 105, 5, 59 ], [ 105, 6, 0 ], [ 105, 7, 81 ], [ 105, 8, 0 ], [ 105, 9, 45 ], [ 105, 10, 81 ], [ 105, 11, 45 ], [ 105, 12, 0 ], [ 105, 13, 59 ], [ 105, 14, 0 ], [ 105, 15, 45 ], [ 105, 16, 59 ], [ 105, 17, 45 ], [ 105, 18, 81 ], [ 105, 19, 59 ], [ 105, 20, 81 ], [ 105, 21, 45 ], [ 105, 22, 59 ], [ 105, 23, 45 ], [ 105, 24, 99 ], [ 105, 25, 119 ], [ 105, 26, 99 ], [ 105, 27, 111 ], [ 105, 28, 119 ], [ 105, 29, 111 ], [ 105, 30, 99 ], [ 105, 31, 119 ], [ 105, 32, 99 ], [ 105, 33, 45 ], [ 105, 34, 119 ], [ 105, 35, 45 ], [ 105, 36, 99 ], [ 105, 37, 111 ], [ 105, 38, 99 ], [ 105, 39, 45 ], [ 105, 40, 111 ], [ 105, 41, 45 ], [ 105, 42, 119 ], [ 105, 43, 111 ], [ 105, 44, 119 ], [ 105, 45, 45 ], [ 105, 46, 111 ], [ 105, 47, 45 ], [ 105, 48, 103 ], [ 105, 49, 107 ], [ 105, 50, 103 ], [ 105, 51, 111 ], [ 105, 52, 107 ], [ 105, 53, 111 ], [ 105, 54, 103 ], [ 105, 55, 107 ], [ 105, 56, 103 ], [ 105, 57, 59 ], [ 105, 58, 107 ], [ 105, 59, 59 ], [ 105, 60, 103 ], [ 105, 61, 111 ], [ 105, 62, 103 ], [ 105, 63, 59 ], [ 105, 64, 111 ], [ 105, 65, 59 ], [ 105, 66, 107 ], [ 105, 67, 111 ], [ 105, 68, 107 ], [ 105, 69, 59 ], [ 105, 70, 111 ], [ 105, 71, 59 ], [ 105, 72, 104 ], [ 105, 73, 107 ], [ 105, 74, 104 ], [ 105, 75, 119 ], [ 105, 76, 107 ], [ 105, 77, 119 ], [ 105, 78, 104 ], [ 105, 79, 107 ], [ 105, 80, 104 ], [ 105, 81, 81 ], [ 105, 82, 107 ], [ 105, 83, 81 ], [ 105, 84, 104 ], [ 105, 85, 119 ], [ 105, 86, 104 ], [ 105, 87, 81 ], [ 105, 88, 119 ], [ 105, 89, 81 ], [ 105, 90, 107 ], [ 105, 91, 119 ], [ 105, 92, 107 ], [ 105, 93, 81 ], [ 105, 94, 119 ], [ 105, 95, 81 ], [ 105, 96, 104 ], [ 105, 97, 103 ], [ 105, 98, 104 ], [ 105, 99, 99 ], [ 105, 100, 103 ], [ 105, 101, 99 ], [ 105, 102, 104 ], [ 105, 103, 103 ], [ 105, 104, 104 ], [ 105, 105, 0 ], [ 105, 106, 103 ], [ 105, 107, 0 ], [ 105, 108, 104 ], [ 105, 109, 99 ], [ 105, 110, 104 ], [ 105, 111, 0 ], [ 105, 112, 99 ], [ 105, 113, 0 ], [ 105, 114, 103 ], [ 105, 115, 99 ], [ 105, 116, 103 ], [ 105, 117, 0 ], [ 105, 118, 99 ], [ 105, 119, 0 ], [ 106, 0, 0 ], [ 106, 1, 55 ], [ 106, 2, 78 ], [ 106, 3, 59 ], [ 106, 4, 81 ], [ 106, 5, 4 ], [ 106, 6, 8 ], [ 106, 7, 51 ], [ 106, 8, 26 ], [ 106, 9, 71 ], [ 106, 10, 33 ], [ 106, 11, 23 ], [ 106, 12, 86 ], [ 106, 13, 64 ], [ 106, 14, 38 ], [ 106, 15, 68 ], [ 106, 16, 34 ], [ 106, 17, 94 ], [ 106, 18, 73 ], [ 106, 19, 16 ], [ 106, 20, 37 ], [ 106, 21, 19 ], [ 106, 22, 29 ], [ 106, 23, 90 ], [ 106, 24, 99 ], [ 106, 25, 108 ], [ 106, 26, 115 ], [ 106, 27, 111 ], [ 106, 28, 119 ], [ 106, 29, 96 ], [ 106, 30, 51 ], [ 106, 31, 8 ], [ 106, 32, 23 ], [ 106, 33, 33 ], [ 106, 34, 71 ], [ 106, 35, 26 ], [ 106, 36, 64 ], [ 106, 37, 86 ], [ 106, 38, 94 ], [ 106, 39, 34 ], [ 106, 40, 68 ], [ 106, 41, 38 ], [ 106, 42, 16 ], [ 106, 43, 73 ], [ 106, 44, 90 ], [ 106, 45, 29 ], [ 106, 46, 19 ], [ 106, 47, 37 ], [ 106, 48, 108 ], [ 106, 49, 99 ], [ 106, 50, 96 ], [ 106, 51, 119 ], [ 106, 52, 111 ], [ 106, 53, 115 ], [ 106, 54, 55 ], [ 106, 55, 0 ], [ 106, 56, 4 ], [ 106, 57, 81 ], [ 106, 58, 59 ], [ 106, 59, 78 ], [ 106, 60, 68 ], [ 106, 61, 38 ], [ 106, 62, 34 ], [ 106, 63, 94 ], [ 106, 64, 64 ], [ 106, 65, 86 ], [ 106, 66, 19 ], [ 106, 67, 37 ], [ 106, 68, 29 ], [ 106, 69, 90 ], [ 106, 70, 16 ], [ 106, 71, 73 ], [ 106, 72, 111 ], [ 106, 73, 115 ], [ 106, 74, 119 ], [ 106, 75, 96 ], [ 106, 76, 108 ], [ 106, 77, 99 ], [ 106, 78, 59 ], [ 106, 79, 78 ], [ 106, 80, 81 ], [ 106, 81, 4 ], [ 106, 82, 55 ], [ 106, 83, 0 ], [ 106, 84, 71 ], [ 106, 85, 26 ], [ 106, 86, 33 ], [ 106, 87, 23 ], [ 106, 88, 51 ], [ 106, 89, 8 ], [ 106, 90, 90 ], [ 106, 91, 29 ], [ 106, 92, 37 ], [ 106, 93, 19 ], [ 106, 94, 73 ], [ 106, 95, 16 ], [ 106, 96, 96 ], [ 106, 97, 119 ], [ 106, 98, 115 ], [ 106, 99, 111 ], [ 106, 100, 99 ], [ 106, 101, 108 ], [ 106, 102, 4 ], [ 106, 103, 81 ], [ 106, 104, 78 ], [ 106, 105, 59 ], [ 106, 106, 0 ], [ 106, 107, 55 ], [ 106, 108, 23 ], [ 106, 109, 33 ], [ 106, 110, 26 ], [ 106, 111, 71 ], [ 106, 112, 8 ], [ 106, 113, 51 ], [ 106, 114, 94 ], [ 106, 115, 34 ], [ 106, 116, 38 ], [ 106, 117, 68 ], [ 106, 118, 86 ], [ 106, 119, 64 ], [ 107, 0, 0 ], [ 107, 1, 55 ], [ 107, 2, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 5, 82 ], [ 107, 6, 8 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 9, 46 ], [ 107, 10, 51 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 13, 77 ], [ 107, 14, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 17, 42 ], [ 107, 18, 63 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 21, 45 ], [ 107, 22, 89 ], [ 107, 23, 45 ], [ 107, 24, 99 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 27, 116 ], [ 107, 28, 108 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 31, 8 ], [ 107, 32, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 35, 46 ], [ 107, 36, 77 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 39, 42 ], [ 107, 40, 12 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 43, 63 ], [ 107, 44, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 47, 45 ], [ 107, 48, 108 ], [ 107, 49, 99 ], [ 107, 50, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 53, 116 ], [ 107, 54, 55 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 57, 82 ], [ 107, 58, 0 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 61, 12 ], [ 107, 62, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 65, 77 ], [ 107, 66, 45 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 69, 89 ], [ 107, 70, 63 ], [ 107, 71, 89 ], [ 107, 72, 116 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 75, 108 ], [ 107, 76, 99 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 79, 0 ], [ 107, 80, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 83, 55 ], [ 107, 84, 46 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 87, 51 ], [ 107, 88, 8 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 91, 89 ], [ 107, 92, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 95, 63 ], [ 107, 96, 116 ], [ 107, 97, 108 ], [ 107, 98, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 101, 99 ], [ 107, 102, 82 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 105, 0 ], [ 107, 106, 55 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 109, 51 ], [ 107, 110, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 113, 8 ], [ 107, 114, 42 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 117, 12 ], [ 107, 118, 77 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 1, 15 ], [ 108, 2, 26 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 5, 82 ], [ 108, 6, 48 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 9, 46 ], [ 108, 10, 81 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 13, 59 ], [ 108, 14, 12 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 17, 94 ], [ 108, 18, 63 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 21, 23 ], [ 108, 22, 29 ], [ 108, 23, 45 ], [ 108, 24, 29 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 27, 81 ], [ 108, 28, 12 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 31, 23 ], [ 108, 32, 82 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 35, 63 ], [ 108, 36, 46 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 39, 48 ], [ 108, 40, 15 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 43, 94 ], [ 108, 44, 26 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 47, 59 ], [ 108, 48, 45 ], [ 108, 49, 94 ], [ 108, 50, 63 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 53, 26 ], [ 108, 54, 59 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 57, 12 ], [ 108, 58, 46 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 61, 29 ], [ 108, 62, 81 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 65, 23 ], [ 108, 66, 82 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 69, 15 ], [ 108, 70, 48 ], [ 108, 71, 19 ], [ 108, 72, 23 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 75, 82 ], [ 108, 76, 48 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 79, 63 ], [ 108, 80, 94 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 83, 29 ], [ 108, 84, 15 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 87, 26 ], [ 108, 88, 59 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 91, 81 ], [ 108, 92, 12 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 95, 46 ], [ 108, 96, 19 ], [ 108, 97, 46 ], [ 108, 98, 59 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 101, 15 ], [ 108, 102, 48 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 105, 81 ], [ 108, 106, 23 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 109, 12 ], [ 108, 110, 29 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 113, 94 ], [ 108, 114, 26 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 117, 82 ], [ 108, 118, 63 ], [ 108, 119, 93 ], [ 109, 0, 0 ], [ 109, 1, 15 ], [ 109, 2, 78 ], [ 109, 3, 77 ], [ 109, 4, 37 ], [ 109, 5, 29 ], [ 109, 6, 48 ], [ 109, 7, 51 ], [ 109, 8, 86 ], [ 109, 9, 94 ], [ 109, 10, 33 ], [ 109, 11, 45 ], [ 109, 12, 60 ], [ 109, 13, 64 ], [ 109, 14, 8 ], [ 109, 15, 23 ], [ 109, 16, 34 ], [ 109, 17, 42 ], [ 109, 18, 55 ], [ 109, 19, 59 ], [ 109, 20, 7 ], [ 109, 21, 19 ], [ 109, 22, 89 ], [ 109, 23, 90 ], [ 109, 24, 29 ], [ 109, 25, 77 ], [ 109, 26, 37 ], [ 109, 27, 15 ], [ 109, 28, 78 ], [ 109, 29, 0 ], [ 109, 30, 19 ], [ 109, 31, 23 ], [ 109, 32, 116 ], [ 109, 33, 64 ], [ 109, 34, 107 ], [ 109, 35, 59 ], [ 109, 36, 90 ], [ 109, 37, 94 ], [ 109, 38, 100 ], [ 109, 39, 51 ], [ 109, 40, 104 ], [ 109, 41, 55 ], [ 109, 42, 42 ], [ 109, 43, 45 ], [ 109, 44, 96 ], [ 109, 45, 48 ], [ 109, 46, 119 ], [ 109, 47, 60 ], [ 109, 48, 45 ], [ 109, 49, 94 ], [ 109, 50, 33 ], [ 109, 51, 51 ], [ 109, 52, 86 ], [ 109, 53, 48 ], [ 109, 54, 59 ], [ 109, 55, 64 ], [ 109, 56, 107 ], [ 109, 57, 23 ], [ 109, 58, 116 ], [ 109, 59, 19 ], [ 109, 60, 89 ], [ 109, 61, 77 ], [ 109, 62, 119 ], [ 109, 63, 15 ], [ 109, 64, 96 ], [ 109, 65, 7 ], [ 109, 66, 34 ], [ 109, 67, 29 ], [ 109, 68, 104 ], [ 109, 69, 0 ], [ 109, 70, 100 ], [ 109, 71, 8 ], [ 109, 72, 42 ], [ 109, 73, 23 ], [ 109, 74, 34 ], [ 109, 75, 64 ], [ 109, 76, 8 ], [ 109, 77, 60 ], [ 109, 78, 55 ], [ 109, 79, 51 ], [ 109, 80, 104 ], [ 109, 81, 94 ], [ 109, 82, 100 ], [ 109, 83, 90 ], [ 109, 84, 7 ], [ 109, 85, 15 ], [ 109, 86, 96 ], [ 109, 87, 77 ], [ 109, 88, 119 ], [ 109, 89, 89 ], [ 109, 90, 33 ], [ 109, 91, 37 ], [ 109, 92, 107 ], [ 109, 93, 78 ], [ 109, 94, 116 ], [ 109, 95, 86 ], [ 109, 96, 90 ], [ 109, 97, 19 ], [ 109, 98, 89 ], [ 109, 99, 59 ], [ 109, 100, 7 ], [ 109, 101, 55 ], [ 109, 102, 60 ], [ 109, 103, 48 ], [ 109, 104, 119 ], [ 109, 105, 45 ], [ 109, 106, 96 ], [ 109, 107, 42 ], [ 109, 108, 8 ], [ 109, 109, 0 ], [ 109, 110, 100 ], [ 109, 111, 29 ], [ 109, 112, 104 ], [ 109, 113, 34 ], [ 109, 114, 86 ], [ 109, 115, 78 ], [ 109, 116, 116 ], [ 109, 117, 37 ], [ 109, 118, 107 ], [ 109, 119, 33 ], [ 110, 0, 0 ], [ 110, 1, 81 ], [ 110, 2, 26 ], [ 110, 3, 77 ], [ 110, 4, 37 ], [ 110, 5, 16 ], [ 110, 6, 0 ], [ 110, 7, 81 ], [ 110, 8, 60 ], [ 110, 9, 90 ], [ 110, 10, 51 ], [ 110, 11, 23 ], [ 110, 12, 26 ], [ 110, 13, 77 ], [ 110, 14, 60 ], [ 110, 15, 90 ], [ 110, 16, 59 ], [ 110, 17, 45 ], [ 110, 18, 37 ], [ 110, 19, 16 ], [ 110, 20, 51 ], [ 110, 21, 23 ], [ 110, 22, 59 ], [ 110, 23, 45 ], [ 110, 24, 29 ], [ 110, 25, 41 ], [ 110, 26, 3 ], [ 110, 27, 15 ], [ 110, 28, 78 ], [ 110, 29, 74 ], [ 110, 30, 29 ], [ 110, 31, 41 ], [ 110, 32, 90 ], [ 110, 33, 60 ], [ 110, 34, 23 ], [ 110, 35, 51 ], [ 110, 36, 3 ], [ 110, 37, 15 ], [ 110, 38, 90 ], [ 110, 39, 60 ], [ 110, 40, 45 ], [ 110, 41, 59 ], [ 110, 42, 78 ], [ 110, 43, 74 ], [ 110, 44, 23 ], [ 110, 45, 51 ], [ 110, 46, 45 ], [ 110, 47, 59 ], [ 110, 48, 67 ], [ 110, 49, 71 ], [ 110, 50, 15 ], [ 110, 51, 3 ], [ 110, 52, 74 ], [ 110, 53, 78 ], [ 110, 54, 67 ], [ 110, 55, 71 ], [ 110, 56, 77 ], [ 110, 57, 26 ], [ 110, 58, 16 ], [ 110, 59, 37 ], [ 110, 60, 15 ], [ 110, 61, 3 ], [ 110, 62, 77 ], [ 110, 63, 26 ], [ 110, 64, 59 ], [ 110, 65, 45 ], [ 110, 66, 74 ], [ 110, 67, 78 ], [ 110, 68, 16 ], [ 110, 69, 37 ], [ 110, 70, 59 ], [ 110, 71, 45 ], [ 110, 72, 71 ], [ 110, 73, 67 ], [ 110, 74, 41 ], [ 110, 75, 29 ], [ 110, 76, 78 ], [ 110, 77, 74 ], [ 110, 78, 71 ], [ 110, 79, 67 ], [ 110, 80, 81 ], [ 110, 81, 0 ], [ 110, 82, 37 ], [ 110, 83, 16 ], [ 110, 84, 41 ], [ 110, 85, 29 ], [ 110, 86, 81 ], [ 110, 87, 0 ], [ 110, 88, 51 ], [ 110, 89, 23 ], [ 110, 90, 78 ], [ 110, 91, 74 ], [ 110, 92, 37 ], [ 110, 93, 16 ], [ 110, 94, 51 ], [ 110, 95, 23 ], [ 110, 96, 67 ], [ 110, 97, 71 ], [ 110, 98, 29 ], [ 110, 99, 41 ], [ 110, 100, 3 ], [ 110, 101, 15 ], [ 110, 102, 67 ], [ 110, 103, 71 ], [ 110, 104, 0 ], [ 110, 105, 81 ], [ 110, 106, 26 ], [ 110, 107, 77 ], [ 110, 108, 29 ], [ 110, 109, 41 ], [ 110, 110, 0 ], [ 110, 111, 81 ], [ 110, 112, 60 ], [ 110, 113, 90 ], [ 110, 114, 3 ], [ 110, 115, 15 ], [ 110, 116, 26 ], [ 110, 117, 77 ], [ 110, 118, 60 ], [ 110, 119, 90 ], [ 111, 0, 0 ], [ 111, 1, 81 ], [ 111, 2, 12 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 5, 29 ], [ 111, 6, 0 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 9, 71 ], [ 111, 10, 85 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 13, 41 ], [ 111, 14, 8 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 17, 68 ], [ 111, 18, 73 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 21, 67 ], [ 111, 22, 34 ], [ 111, 23, 68 ], [ 111, 24, 29 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 27, 81 ], [ 111, 28, 12 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 31, 41 ], [ 111, 32, 100 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 35, 67 ], [ 111, 36, 73 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 39, 71 ], [ 111, 40, 104 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 43, 0 ], [ 111, 44, 115 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 47, 68 ], [ 111, 48, 67 ], [ 111, 49, 71 ], [ 111, 50, 85 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 53, 0 ], [ 111, 54, 67 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 57, 41 ], [ 111, 58, 100 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 61, 81 ], [ 111, 62, 115 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 65, 34 ], [ 111, 66, 8 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 69, 29 ], [ 111, 70, 104 ], [ 111, 71, 34 ], [ 111, 72, 68 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 75, 41 ], [ 111, 76, 8 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 79, 71 ], [ 111, 80, 104 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 83, 73 ], [ 111, 84, 34 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 87, 81 ], [ 111, 88, 115 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 91, 12 ], [ 111, 92, 100 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 95, 85 ], [ 111, 96, 68 ], [ 111, 97, 67 ], [ 111, 98, 34 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 101, 73 ], [ 111, 102, 68 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 105, 0 ], [ 111, 106, 115 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 109, 29 ], [ 111, 110, 104 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 113, 8 ], [ 111, 114, 85 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 117, 12 ], [ 111, 118, 100 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 1, 25 ], [ 112, 2, 78 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 5, 16 ], [ 112, 6, 12 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 9, 45 ], [ 112, 10, 55 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 13, 29 ], [ 112, 14, 60 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 17, 93 ], [ 112, 18, 81 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 21, 19 ], [ 112, 22, 52 ], [ 112, 23, 90 ], [ 112, 24, 29 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 27, 81 ], [ 112, 28, 12 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 31, 78 ], [ 112, 32, 19 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 35, 52 ], [ 112, 36, 16 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 39, 55 ], [ 112, 40, 45 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 43, 25 ], [ 112, 44, 93 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 47, 60 ], [ 112, 48, 42 ], [ 112, 49, 19 ], [ 112, 50, 25 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 53, 60 ], [ 112, 54, 55 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 57, 93 ], [ 112, 58, 29 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 61, 12 ], [ 112, 62, 52 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 65, 81 ], [ 112, 66, 45 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 69, 78 ], [ 112, 70, 16 ], [ 112, 71, 74 ], [ 112, 72, 45 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 75, 52 ], [ 112, 76, 78 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 79, 60 ], [ 112, 80, 81 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 83, 19 ], [ 112, 84, 93 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 87, 16 ], [ 112, 88, 25 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 91, 29 ], [ 112, 92, 55 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 95, 12 ], [ 112, 96, 20 ], [ 112, 97, 93 ], [ 112, 98, 16 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 101, 55 ], [ 112, 102, 52 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 105, 45 ], [ 112, 106, 12 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 109, 81 ], [ 112, 110, 60 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 113, 29 ], [ 112, 114, 19 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 117, 25 ], [ 112, 118, 78 ], [ 112, 119, 37 ], [ 113, 0, 0 ], [ 113, 1, 25 ], [ 113, 2, 12 ], [ 113, 3, 77 ], [ 113, 4, 37 ], [ 113, 5, 82 ], [ 113, 6, 12 ], [ 113, 7, 37 ], [ 113, 8, 0 ], [ 113, 9, 67 ], [ 113, 10, 25 ], [ 113, 11, 68 ], [ 113, 12, 0 ], [ 113, 13, 82 ], [ 113, 14, 12 ], [ 113, 15, 68 ], [ 113, 16, 77 ], [ 113, 17, 67 ], [ 113, 18, 25 ], [ 113, 19, 77 ], [ 113, 20, 37 ], [ 113, 21, 67 ], [ 113, 22, 82 ], [ 113, 23, 68 ], [ 113, 24, 29 ], [ 113, 25, 4 ], [ 113, 26, 73 ], [ 113, 27, 15 ], [ 113, 28, 78 ], [ 113, 29, 38 ], [ 113, 30, 73 ], [ 113, 31, 78 ], [ 113, 32, 29 ], [ 113, 33, 67 ], [ 113, 34, 4 ], [ 113, 35, 68 ], [ 113, 36, 29 ], [ 113, 37, 38 ], [ 113, 38, 73 ], [ 113, 39, 68 ], [ 113, 40, 15 ], [ 113, 41, 67 ], [ 113, 42, 4 ], [ 113, 43, 15 ], [ 113, 44, 78 ], [ 113, 45, 67 ], [ 113, 46, 38 ], [ 113, 47, 68 ], [ 113, 48, 42 ], [ 113, 49, 19 ], [ 113, 50, 55 ], [ 113, 51, 15 ], [ 113, 52, 48 ], [ 113, 53, 38 ], [ 113, 54, 55 ], [ 113, 55, 48 ], [ 113, 56, 42 ], [ 113, 57, 77 ], [ 113, 58, 19 ], [ 113, 59, 82 ], [ 113, 60, 42 ], [ 113, 61, 38 ], [ 113, 62, 55 ], [ 113, 63, 82 ], [ 113, 64, 15 ], [ 113, 65, 77 ], [ 113, 66, 19 ], [ 113, 67, 15 ], [ 113, 68, 48 ], [ 113, 69, 77 ], [ 113, 70, 38 ], [ 113, 71, 82 ], [ 113, 72, 94 ], [ 113, 73, 19 ], [ 113, 74, 64 ], [ 113, 75, 4 ], [ 113, 76, 48 ], [ 113, 77, 78 ], [ 113, 78, 64 ], [ 113, 79, 48 ], [ 113, 80, 94 ], [ 113, 81, 25 ], [ 113, 82, 19 ], [ 113, 83, 37 ], [ 113, 84, 94 ], [ 113, 85, 78 ], [ 113, 86, 64 ], [ 113, 87, 37 ], [ 113, 88, 4 ], [ 113, 89, 25 ], [ 113, 90, 19 ], [ 113, 91, 4 ], [ 113, 92, 48 ], [ 113, 93, 25 ], [ 113, 94, 78 ], [ 113, 95, 37 ], [ 113, 96, 94 ], [ 113, 97, 42 ], [ 113, 98, 64 ], [ 113, 99, 29 ], [ 113, 100, 55 ], [ 113, 101, 73 ], [ 113, 102, 64 ], [ 113, 103, 55 ], [ 113, 104, 94 ], [ 113, 105, 0 ], [ 113, 106, 42 ], [ 113, 107, 12 ], [ 113, 108, 94 ], [ 113, 109, 73 ], [ 113, 110, 64 ], [ 113, 111, 12 ], [ 113, 112, 29 ], [ 113, 113, 0 ], [ 113, 114, 42 ], [ 113, 115, 29 ], [ 113, 116, 55 ], [ 113, 117, 0 ], [ 113, 118, 73 ], [ 113, 119, 12 ], [ 114, 0, 0 ], [ 114, 1, 7 ], [ 114, 2, 26 ], [ 114, 3, 34 ], [ 114, 4, 51 ], [ 114, 5, 59 ], [ 114, 6, 86 ], [ 114, 7, 81 ], [ 114, 8, 26 ], [ 114, 9, 45 ], [ 114, 10, 51 ], [ 114, 11, 68 ], [ 114, 12, 86 ], [ 114, 13, 77 ], [ 114, 14, 0 ], [ 114, 15, 23 ], [ 114, 16, 59 ], [ 114, 17, 68 ], [ 114, 18, 81 ], [ 114, 19, 77 ], [ 114, 20, 7 ], [ 114, 21, 23 ], [ 114, 22, 34 ], [ 114, 23, 45 ], [ 114, 24, 25 ], [ 114, 25, 48 ], [ 114, 26, 4 ], [ 114, 27, 56 ], [ 114, 28, 11 ], [ 114, 29, 33 ], [ 114, 30, 68 ], [ 114, 31, 45 ], [ 114, 32, 4 ], [ 114, 33, 81 ], [ 114, 34, 11 ], [ 114, 35, 86 ], [ 114, 36, 68 ], [ 114, 37, 23 ], [ 114, 38, 25 ], [ 114, 39, 77 ], [ 114, 40, 33 ], [ 114, 41, 86 ], [ 114, 42, 45 ], [ 114, 43, 23 ], [ 114, 44, 48 ], [ 114, 45, 77 ], [ 114, 46, 56 ], [ 114, 47, 81 ], [ 114, 48, 33 ], [ 114, 49, 56 ], [ 114, 50, 93 ], [ 114, 51, 48 ], [ 114, 52, 94 ], [ 114, 53, 25 ], [ 114, 54, 59 ], [ 114, 55, 34 ], [ 114, 56, 93 ], [ 114, 57, 7 ], [ 114, 58, 94 ], [ 114, 59, 0 ], [ 114, 60, 59 ], [ 114, 61, 77 ], [ 114, 62, 33 ], [ 114, 63, 23 ], [ 114, 64, 25 ], [ 114, 65, 0 ], [ 114, 66, 34 ], [ 114, 67, 77 ], [ 114, 68, 56 ], [ 114, 69, 23 ], [ 114, 70, 48 ], [ 114, 71, 7 ], [ 114, 72, 11 ], [ 114, 73, 48 ], [ 114, 74, 94 ], [ 114, 75, 56 ], [ 114, 76, 93 ], [ 114, 77, 4 ], [ 114, 78, 51 ], [ 114, 79, 7 ], [ 114, 80, 94 ], [ 114, 81, 34 ], [ 114, 82, 93 ], [ 114, 83, 26 ], [ 114, 84, 51 ], [ 114, 85, 81 ], [ 114, 86, 11 ], [ 114, 87, 45 ], [ 114, 88, 4 ], [ 114, 89, 26 ], [ 114, 90, 7 ], [ 114, 91, 81 ], [ 114, 92, 48 ], [ 114, 93, 45 ], [ 114, 94, 56 ], [ 114, 95, 34 ], [ 114, 96, 4 ], [ 114, 97, 25 ], [ 114, 98, 93 ], [ 114, 99, 33 ], [ 114, 100, 94 ], [ 114, 101, 11 ], [ 114, 102, 26 ], [ 114, 103, 0 ], [ 114, 104, 93 ], [ 114, 105, 59 ], [ 114, 106, 94 ], [ 114, 107, 51 ], [ 114, 108, 26 ], [ 114, 109, 86 ], [ 114, 110, 4 ], [ 114, 111, 68 ], [ 114, 112, 11 ], [ 114, 113, 51 ], [ 114, 114, 0 ], [ 114, 115, 86 ], [ 114, 116, 25 ], [ 114, 117, 68 ], [ 114, 118, 33 ], [ 114, 119, 59 ], [ 115, 0, 0 ], [ 115, 1, 7 ], [ 115, 2, 56 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 5, 29 ], [ 115, 6, 86 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 9, 71 ], [ 115, 10, 25 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 13, 82 ], [ 115, 14, 8 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 17, 45 ], [ 115, 18, 73 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 21, 20 ], [ 115, 22, 59 ], [ 115, 23, 68 ], [ 115, 24, 25 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 27, 8 ], [ 115, 28, 59 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 31, 45 ], [ 115, 32, 7 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 35, 82 ], [ 115, 36, 20 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 39, 73 ], [ 115, 40, 56 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 43, 71 ], [ 115, 44, 29 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 47, 86 ], [ 115, 48, 33 ], [ 115, 49, 56 ], [ 115, 50, 45 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 53, 73 ], [ 115, 54, 59 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 57, 20 ], [ 115, 58, 86 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 61, 29 ], [ 115, 62, 71 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 65, 7 ], [ 115, 66, 82 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 69, 8 ], [ 115, 70, 25 ], [ 115, 71, 0 ], [ 115, 72, 29 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 75, 86 ], [ 115, 76, 20 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 79, 25 ], [ 115, 80, 82 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 83, 71 ], [ 115, 84, 73 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 87, 59 ], [ 115, 88, 8 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 91, 7 ], [ 115, 92, 45 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 95, 56 ], [ 115, 96, 52 ], [ 115, 97, 7 ], [ 115, 98, 71 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 101, 82 ], [ 115, 102, 8 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 105, 45 ], [ 115, 106, 73 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 109, 56 ], [ 115, 110, 20 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 113, 29 ], [ 115, 114, 86 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 117, 25 ], [ 115, 118, 59 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 1, 55 ], [ 116, 2, 26 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 5, 11 ], [ 116, 6, 8 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 9, 67 ], [ 116, 10, 81 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 13, 59 ], [ 116, 14, 74 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 17, 42 ], [ 116, 18, 25 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 21, 23 ], [ 116, 22, 89 ], [ 116, 23, 45 ], [ 116, 24, 25 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 27, 8 ], [ 116, 28, 59 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 31, 11 ], [ 116, 32, 42 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 35, 74 ], [ 116, 36, 55 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 39, 89 ], [ 116, 40, 23 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 43, 26 ], [ 116, 44, 67 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 47, 81 ], [ 116, 48, 85 ], [ 116, 49, 74 ], [ 116, 50, 23 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 53, 55 ], [ 116, 54, 67 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 57, 25 ], [ 116, 58, 89 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 61, 81 ], [ 116, 62, 11 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 65, 26 ], [ 116, 66, 8 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 69, 42 ], [ 116, 70, 59 ], [ 116, 71, 33 ], [ 116, 72, 89 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 75, 26 ], [ 116, 76, 67 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 79, 42 ], [ 116, 80, 81 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 83, 8 ], [ 116, 84, 59 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 87, 23 ], [ 116, 88, 25 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 91, 74 ], [ 116, 92, 55 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 95, 11 ], [ 116, 96, 77 ], [ 116, 97, 81 ], [ 116, 98, 42 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 101, 11 ], [ 116, 102, 23 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 105, 59 ], [ 116, 106, 74 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 109, 89 ], [ 116, 110, 26 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 113, 55 ], [ 116, 114, 25 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 117, 67 ], [ 116, 118, 8 ], [ 116, 119, 52 ], [ 117, 0, 0 ], [ 117, 1, 55 ], [ 117, 2, 8 ], [ 117, 3, 34 ], [ 117, 4, 51 ], [ 117, 5, 29 ], [ 117, 6, 8 ], [ 117, 7, 51 ], [ 117, 8, 0 ], [ 117, 9, 94 ], [ 117, 10, 55 ], [ 117, 11, 90 ], [ 117, 12, 0 ], [ 117, 13, 29 ], [ 117, 14, 8 ], [ 117, 15, 90 ], [ 117, 16, 34 ], [ 117, 17, 94 ], [ 117, 18, 55 ], [ 117, 19, 34 ], [ 117, 20, 51 ], [ 117, 21, 94 ], [ 117, 22, 29 ], [ 117, 23, 90 ], [ 117, 24, 25 ], [ 117, 25, 30 ], [ 117, 26, 52 ], [ 117, 27, 56 ], [ 117, 28, 11 ], [ 117, 29, 3 ], [ 117, 30, 52 ], [ 117, 31, 11 ], [ 117, 32, 25 ], [ 117, 33, 94 ], [ 117, 34, 30 ], [ 117, 35, 90 ], [ 117, 36, 25 ], [ 117, 37, 3 ], [ 117, 38, 52 ], [ 117, 39, 90 ], [ 117, 40, 56 ], [ 117, 41, 94 ], [ 117, 42, 30 ], [ 117, 43, 56 ], [ 117, 44, 11 ], [ 117, 45, 94 ], [ 117, 46, 3 ], [ 117, 47, 90 ], [ 117, 48, 85 ], [ 117, 49, 74 ], [ 117, 50, 67 ], [ 117, 51, 56 ], [ 117, 52, 20 ], [ 117, 53, 3 ], [ 117, 54, 67 ], [ 117, 55, 20 ], [ 117, 56, 85 ], [ 117, 57, 34 ], [ 117, 58, 74 ], [ 117, 59, 29 ], [ 117, 60, 85 ], [ 117, 61, 3 ], [ 117, 62, 67 ], [ 117, 63, 29 ], [ 117, 64, 56 ], [ 117, 65, 34 ], [ 117, 66, 74 ], [ 117, 67, 56 ], [ 117, 68, 20 ], [ 117, 69, 34 ], [ 117, 70, 3 ], [ 117, 71, 29 ], [ 117, 72, 82 ], [ 117, 73, 74 ], [ 117, 74, 46 ], [ 117, 75, 30 ], [ 117, 76, 20 ], [ 117, 77, 11 ], [ 117, 78, 46 ], [ 117, 79, 20 ], [ 117, 80, 82 ], [ 117, 81, 55 ], [ 117, 82, 74 ], [ 117, 83, 51 ], [ 117, 84, 82 ], [ 117, 85, 11 ], [ 117, 86, 46 ], [ 117, 87, 51 ], [ 117, 88, 30 ], [ 117, 89, 55 ], [ 117, 90, 74 ], [ 117, 91, 30 ], [ 117, 92, 20 ], [ 117, 93, 55 ], [ 117, 94, 11 ], [ 117, 95, 51 ], [ 117, 96, 82 ], [ 117, 97, 85 ], [ 117, 98, 46 ], [ 117, 99, 25 ], [ 117, 100, 67 ], [ 117, 101, 52 ], [ 117, 102, 46 ], [ 117, 103, 67 ], [ 117, 104, 82 ], [ 117, 105, 0 ], [ 117, 106, 85 ], [ 117, 107, 8 ], [ 117, 108, 82 ], [ 117, 109, 52 ], [ 117, 110, 46 ], [ 117, 111, 8 ], [ 117, 112, 25 ], [ 117, 113, 0 ], [ 117, 114, 85 ], [ 117, 115, 25 ], [ 117, 116, 67 ], [ 117, 117, 0 ], [ 117, 118, 52 ], [ 117, 119, 8 ], [ 118, 0, 0 ], [ 118, 1, 25 ], [ 118, 2, 56 ], [ 118, 3, 34 ], [ 118, 4, 51 ], [ 118, 5, 11 ], [ 118, 6, 12 ], [ 118, 7, 37 ], [ 118, 8, 86 ], [ 118, 9, 46 ], [ 118, 10, 85 ], [ 118, 11, 23 ], [ 118, 12, 60 ], [ 118, 13, 41 ], [ 118, 14, 74 ], [ 118, 15, 45 ], [ 118, 16, 77 ], [ 118, 17, 67 ], [ 118, 18, 63 ], [ 118, 19, 16 ], [ 118, 20, 81 ], [ 118, 21, 20 ], [ 118, 22, 82 ], [ 118, 23, 68 ], [ 118, 24, 25 ], [ 118, 25, 0 ], [ 118, 26, 34 ], [ 118, 27, 56 ], [ 118, 28, 11 ], [ 118, 29, 51 ], [ 118, 30, 96 ], [ 118, 31, 103 ], [ 118, 32, 68 ], [ 118, 33, 82 ], [ 118, 34, 67 ], [ 118, 35, 77 ], [ 118, 36, 108 ], [ 118, 37, 107 ], [ 118, 38, 20 ], [ 118, 39, 81 ], [ 118, 40, 23 ], [ 118, 41, 85 ], [ 118, 42, 111 ], [ 118, 43, 100 ], [ 118, 44, 45 ], [ 118, 45, 74 ], [ 118, 46, 46 ], [ 118, 47, 86 ], [ 118, 48, 37 ], [ 118, 49, 12 ], [ 118, 50, 46 ], [ 118, 51, 86 ], [ 118, 52, 23 ], [ 118, 53, 85 ], [ 118, 54, 103 ], [ 118, 55, 96 ], [ 118, 56, 82 ], [ 118, 57, 68 ], [ 118, 58, 77 ], [ 118, 59, 67 ], [ 118, 60, 100 ], [ 118, 61, 111 ], [ 118, 62, 16 ], [ 118, 63, 63 ], [ 118, 64, 11 ], [ 118, 65, 51 ], [ 118, 66, 107 ], [ 118, 67, 108 ], [ 118, 68, 41 ], [ 118, 69, 60 ], [ 118, 70, 34 ], [ 118, 71, 56 ], [ 118, 72, 41 ], [ 118, 73, 60 ], [ 118, 74, 45 ], [ 118, 75, 74 ], [ 118, 76, 67 ], [ 118, 77, 77 ], [ 118, 78, 107 ], [ 118, 79, 108 ], [ 118, 80, 81 ], [ 118, 81, 20 ], [ 118, 82, 85 ], [ 118, 83, 23 ], [ 118, 84, 111 ], [ 118, 85, 100 ], [ 118, 86, 63 ], [ 118, 87, 16 ], [ 118, 88, 51 ], [ 118, 89, 11 ], [ 118, 90, 103 ], [ 118, 91, 96 ], [ 118, 92, 37 ], [ 118, 93, 12 ], [ 118, 94, 25 ], [ 118, 95, 0 ], [ 118, 96, 16 ], [ 118, 97, 63 ], [ 118, 98, 20 ], [ 118, 99, 81 ], [ 118, 100, 68 ], [ 118, 101, 82 ], [ 118, 102, 100 ], [ 118, 103, 111 ], [ 118, 104, 74 ], [ 118, 105, 45 ], [ 118, 106, 86 ], [ 118, 107, 46 ], [ 118, 108, 108 ], [ 118, 109, 107 ], [ 118, 110, 60 ], [ 118, 111, 41 ], [ 118, 112, 56 ], [ 118, 113, 34 ], [ 118, 114, 96 ], [ 118, 115, 103 ], [ 118, 116, 12 ], [ 118, 117, 37 ], [ 118, 118, 0 ], [ 118, 119, 25 ], [ 119, 0, 0 ], [ 119, 1, 25 ], [ 119, 2, 8 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 5, 59 ], [ 119, 6, 12 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 9, 90 ], [ 119, 10, 33 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 13, 64 ], [ 119, 14, 0 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 17, 93 ], [ 119, 18, 37 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 21, 94 ], [ 119, 22, 52 ], [ 119, 23, 90 ], [ 119, 24, 25 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 27, 8 ], [ 119, 28, 59 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 31, 103 ], [ 119, 32, 52 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 35, 93 ], [ 119, 36, 96 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 39, 94 ], [ 119, 40, 33 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 43, 112 ], [ 119, 44, 0 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 47, 90 ], [ 119, 48, 37 ], [ 119, 49, 12 ], [ 119, 50, 90 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 53, 33 ], [ 119, 54, 103 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 57, 52 ], [ 119, 58, 93 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 61, 112 ], [ 119, 62, 37 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 65, 59 ], [ 119, 66, 96 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 69, 64 ], [ 119, 70, 8 ], [ 119, 71, 52 ], [ 119, 72, 64 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 75, 0 ], [ 119, 76, 93 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 79, 96 ], [ 119, 80, 94 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 83, 33 ], [ 119, 84, 112 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 87, 37 ], [ 119, 88, 59 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 91, 103 ], [ 119, 92, 12 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 95, 25 ], [ 119, 96, 64 ], [ 119, 97, 37 ], [ 119, 98, 94 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 101, 52 ], [ 119, 102, 112 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 105, 0 ], [ 119, 106, 90 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 109, 96 ], [ 119, 110, 64 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 113, 8 ], [ 119, 114, 103 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 117, 12 ], [ 119, 118, 25 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } }, { "elements": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "commutators": [ [ 0, 0, 0 ], [ 0, 3, 0 ], [ 0, 4, 0 ], [ 0, 7, 0 ], [ 0, 8, 0 ], [ 0, 11, 0 ], [ 0, 12, 0 ], [ 0, 15, 0 ], [ 0, 16, 0 ], [ 0, 19, 0 ], [ 0, 20, 0 ], [ 0, 23, 0 ], [ 0, 25, 0 ], [ 0, 26, 0 ], [ 0, 29, 0 ], [ 0, 30, 0 ], [ 0, 33, 0 ], [ 0, 34, 0 ], [ 0, 37, 0 ], [ 0, 38, 0 ], [ 0, 41, 0 ], [ 0, 42, 0 ], [ 0, 45, 0 ], [ 0, 46, 0 ], [ 0, 48, 0 ], [ 0, 51, 0 ], [ 0, 52, 0 ], [ 0, 55, 0 ], [ 0, 56, 0 ], [ 0, 59, 0 ], [ 0, 60, 0 ], [ 0, 63, 0 ], [ 0, 64, 0 ], [ 0, 67, 0 ], [ 0, 68, 0 ], [ 0, 71, 0 ], [ 0, 73, 0 ], [ 0, 74, 0 ], [ 0, 77, 0 ], [ 0, 78, 0 ], [ 0, 81, 0 ], [ 0, 82, 0 ], [ 0, 85, 0 ], [ 0, 86, 0 ], [ 0, 89, 0 ], [ 0, 90, 0 ], [ 0, 93, 0 ], [ 0, 94, 0 ], [ 0, 96, 0 ], [ 0, 99, 0 ], [ 0, 100, 0 ], [ 0, 103, 0 ], [ 0, 104, 0 ], [ 0, 107, 0 ], [ 0, 108, 0 ], [ 0, 111, 0 ], [ 0, 112, 0 ], [ 0, 115, 0 ], [ 0, 116, 0 ], [ 0, 119, 0 ], [ 3, 0, 0 ], [ 3, 3, 0 ], [ 3, 4, 0 ], [ 3, 7, 23 ], [ 3, 8, 23 ], [ 3, 11, 23 ], [ 3, 12, 7 ], [ 3, 15, 7 ], [ 3, 16, 7 ], [ 3, 19, 16 ], [ 3, 20, 16 ], [ 3, 23, 16 ], [ 3, 25, 4 ], [ 3, 26, 4 ], [ 3, 29, 4 ], [ 3, 30, 56 ], [ 3, 33, 56 ], [ 3, 34, 56 ], [ 3, 37, 81 ], [ 3, 38, 81 ], [ 3, 41, 81 ], [ 3, 42, 103 ], [ 3, 45, 103 ], [ 3, 46, 103 ], [ 3, 48, 8 ], [ 3, 51, 8 ], [ 3, 52, 8 ], [ 3, 55, 107 ], [ 3, 56, 107 ], [ 3, 59, 107 ], [ 3, 60, 51 ], [ 3, 63, 51 ], [ 3, 64, 51 ], [ 3, 67, 46 ], [ 3, 68, 46 ], [ 3, 71, 46 ], [ 3, 73, 15 ], [ 3, 74, 15 ], [ 3, 77, 15 ], [ 3, 78, 55 ], [ 3, 81, 55 ], [ 3, 82, 55 ], [ 3, 85, 33 ], [ 3, 86, 33 ], [ 3, 89, 33 ], [ 3, 90, 73 ], [ 3, 93, 73 ], [ 3, 94, 73 ], [ 3, 96, 19 ], [ 3, 99, 19 ], [ 3, 100, 19 ], [ 3, 103, 82 ], [ 3, 104, 82 ], [ 3, 107, 82 ], [ 3, 108, 100 ], [ 3, 111, 100 ], [ 3, 112, 100 ], [ 3, 115, 37 ], [ 3, 116, 37 ], [ 3, 119, 37 ], [ 4, 0, 0 ], [ 4, 3, 0 ], [ 4, 4, 0 ], [ 4, 7, 16 ], [ 4, 8, 16 ], [ 4, 11, 16 ], [ 4, 12, 23 ], [ 4, 15, 23 ], [ 4, 16, 23 ], [ 4, 19, 7 ], [ 4, 20, 7 ], [ 4, 23, 7 ], [ 4, 25, 3 ], [ 4, 26, 3 ], [ 4, 29, 3 ], [ 4, 30, 59 ], [ 4, 33, 59 ], [ 4, 34, 59 ], [ 4, 37, 78 ], [ 4, 38, 78 ], [ 4, 41, 78 ], [ 4, 42, 104 ], [ 4, 45, 104 ], [ 4, 46, 104 ], [ 4, 48, 11 ], [ 4, 51, 11 ], [ 4, 52, 11 ], [ 4, 55, 82 ], [ 4, 56, 82 ], [ 4, 59, 82 ], [ 4, 60, 41 ], [ 4, 63, 41 ], [ 4, 64, 41 ], [ 4, 67, 52 ], [ 4, 68, 52 ], [ 4, 71, 52 ], [ 4, 73, 12 ], [ 4, 74, 12 ], [ 4, 77, 12 ], [ 4, 78, 107 ], [ 4, 81, 107 ], [ 4, 82, 107 ], [ 4, 85, 77 ], [ 4, 86, 77 ], [ 4, 89, 77 ], [ 4, 90, 42 ], [ 4, 93, 42 ], [ 4, 94, 42 ], [ 4, 96, 20 ], [ 4, 99, 20 ], [ 4, 100, 20 ], [ 4, 103, 55 ], [ 4, 104, 55 ], [ 4, 107, 55 ], [ 4, 108, 34 ], [ 4, 111, 34 ], [ 4, 112, 34 ], [ 4, 115, 96 ], [ 4, 116, 96 ], [ 4, 119, 96 ], [ 7, 0, 0 ], [ 7, 3, 23 ], [ 7, 4, 16 ], [ 7, 7, 0 ], [ 7, 8, 16 ], [ 7, 11, 23 ], [ 7, 12, 23 ], [ 7, 15, 16 ], [ 7, 16, 0 ], [ 7, 19, 16 ], [ 7, 20, 23 ], [ 7, 23, 0 ], [ 7, 25, 30 ], [ 7, 26, 112 ], [ 7, 29, 89 ], [ 7, 30, 30 ], [ 7, 33, 89 ], [ 7, 34, 112 ], [ 7, 37, 112 ], [ 7, 38, 89 ], [ 7, 41, 30 ], [ 7, 42, 89 ], [ 7, 45, 112 ], [ 7, 46, 30 ], [ 7, 48, 48 ], [ 7, 51, 116 ], [ 7, 52, 93 ], [ 7, 55, 48 ], [ 7, 56, 93 ], [ 7, 59, 116 ], [ 7, 60, 116 ], [ 7, 63, 93 ], [ 7, 64, 48 ], [ 7, 67, 93 ], [ 7, 68, 116 ], [ 7, 71, 48 ], [ 7, 73, 51 ], [ 7, 74, 37 ], [ 7, 77, 81 ], [ 7, 78, 51 ], [ 7, 81, 81 ], [ 7, 82, 37 ], [ 7, 85, 37 ], [ 7, 86, 81 ], [ 7, 89, 51 ], [ 7, 90, 81 ], [ 7, 93, 37 ], [ 7, 94, 51 ], [ 7, 96, 52 ], [ 7, 99, 42 ], [ 7, 100, 104 ], [ 7, 103, 52 ], [ 7, 104, 104 ], [ 7, 107, 42 ], [ 7, 108, 42 ], [ 7, 111, 104 ], [ 7, 112, 52 ], [ 7, 115, 104 ], [ 7, 116, 42 ], [ 7, 119, 52 ], [ 8, 0, 0 ], [ 8, 3, 23 ], [ 8, 4, 16 ], [ 8, 7, 16 ], [ 8, 8, 0 ], [ 8, 11, 7 ], [ 8, 12, 0 ], [ 8, 15, 7 ], [ 8, 16, 23 ], [ 8, 19, 23 ], [ 8, 20, 16 ], [ 8, 23, 7 ], [ 8, 25, 108 ], [ 8, 26, 86 ], [ 8, 29, 33 ], [ 8, 30, 86 ], [ 8, 33, 11 ], [ 8, 34, 108 ], [ 8, 37, 33 ], [ 8, 38, 86 ], [ 8, 41, 11 ], [ 8, 42, 108 ], [ 8, 45, 11 ], [ 8, 46, 33 ], [ 8, 48, 26 ], [ 8, 51, 112 ], [ 8, 52, 71 ], [ 8, 55, 71 ], [ 8, 56, 26 ], [ 8, 59, 3 ], [ 8, 60, 26 ], [ 8, 63, 3 ], [ 8, 64, 112 ], [ 8, 67, 112 ], [ 8, 68, 71 ], [ 8, 71, 3 ], [ 8, 73, 100 ], [ 8, 74, 60 ], [ 8, 77, 89 ], [ 8, 78, 60 ], [ 8, 81, 20 ], [ 8, 82, 100 ], [ 8, 85, 89 ], [ 8, 86, 60 ], [ 8, 89, 20 ], [ 8, 90, 100 ], [ 8, 93, 20 ], [ 8, 94, 89 ], [ 8, 96, 74 ], [ 8, 99, 30 ], [ 8, 100, 56 ], [ 8, 103, 56 ], [ 8, 104, 74 ], [ 8, 107, 12 ], [ 8, 108, 74 ], [ 8, 111, 12 ], [ 8, 112, 30 ], [ 8, 115, 30 ], [ 8, 116, 56 ], [ 8, 119, 12 ], [ 11, 0, 0 ], [ 11, 3, 23 ], [ 11, 4, 16 ], [ 11, 7, 23 ], [ 11, 8, 7 ], [ 11, 11, 0 ], [ 11, 12, 16 ], [ 11, 15, 23 ], [ 11, 16, 7 ], [ 11, 19, 0 ], [ 11, 20, 7 ], [ 11, 23, 16 ], [ 11, 25, 85 ], [ 11, 26, 34 ], [ 11, 29, 111 ], [ 11, 30, 111 ], [ 11, 33, 85 ], [ 11, 34, 8 ], [ 11, 37, 85 ], [ 11, 38, 8 ], [ 11, 41, 34 ], [ 11, 42, 34 ], [ 11, 45, 111 ], [ 11, 46, 8 ], [ 11, 48, 29 ], [ 11, 51, 64 ], [ 11, 52, 89 ], [ 11, 55, 64 ], [ 11, 56, 4 ], [ 11, 59, 29 ], [ 11, 60, 89 ], [ 11, 63, 64 ], [ 11, 64, 4 ], [ 11, 67, 29 ], [ 11, 68, 4 ], [ 11, 71, 89 ], [ 11, 73, 99 ], [ 11, 74, 30 ], [ 11, 77, 59 ], [ 11, 78, 59 ], [ 11, 81, 99 ], [ 11, 82, 19 ], [ 11, 85, 99 ], [ 11, 86, 19 ], [ 11, 89, 30 ], [ 11, 90, 30 ], [ 11, 93, 59 ], [ 11, 94, 19 ], [ 11, 96, 77 ], [ 11, 99, 67 ], [ 11, 100, 112 ], [ 11, 103, 67 ], [ 11, 104, 15 ], [ 11, 107, 77 ], [ 11, 108, 112 ], [ 11, 111, 67 ], [ 11, 112, 15 ], [ 11, 115, 77 ], [ 11, 116, 15 ], [ 11, 119, 112 ], [ 12, 0, 0 ], [ 12, 3, 7 ], [ 12, 4, 23 ], [ 12, 7, 23 ], [ 12, 8, 0 ], [ 12, 11, 16 ], [ 12, 12, 0 ], [ 12, 15, 16 ], [ 12, 16, 7 ], [ 12, 19, 7 ], [ 12, 20, 23 ], [ 12, 23, 16 ], [ 12, 25, 41 ], [ 12, 26, 60 ], [ 12, 29, 116 ], [ 12, 30, 60 ], [ 12, 33, 15 ], [ 12, 34, 41 ], [ 12, 37, 116 ], [ 12, 38, 60 ], [ 12, 41, 15 ], [ 12, 42, 41 ], [ 12, 45, 15 ], [ 12, 46, 116 ], [ 12, 48, 86 ], [ 12, 51, 63 ], [ 12, 52, 96 ], [ 12, 55, 96 ], [ 12, 56, 86 ], [ 12, 59, 19 ], [ 12, 60, 86 ], [ 12, 63, 19 ], [ 12, 64, 63 ], [ 12, 67, 63 ], [ 12, 68, 96 ], [ 12, 71, 19 ], [ 12, 73, 93 ], [ 12, 74, 26 ], [ 12, 77, 115 ], [ 12, 78, 26 ], [ 12, 81, 4 ], [ 12, 82, 93 ], [ 12, 85, 115 ], [ 12, 86, 26 ], [ 12, 89, 4 ], [ 12, 90, 93 ], [ 12, 93, 4 ], [ 12, 94, 115 ], [ 12, 96, 78 ], [ 12, 99, 38 ], [ 12, 100, 48 ], [ 12, 103, 48 ], [ 12, 104, 78 ], [ 12, 107, 8 ], [ 12, 108, 78 ], [ 12, 111, 8 ], [ 12, 112, 38 ], [ 12, 115, 38 ], [ 12, 116, 48 ], [ 12, 119, 8 ], [ 15, 0, 0 ], [ 15, 3, 7 ], [ 15, 4, 23 ], [ 15, 7, 16 ], [ 15, 8, 7 ], [ 15, 11, 23 ], [ 15, 12, 16 ], [ 15, 15, 0 ], [ 15, 16, 23 ], [ 15, 19, 16 ], [ 15, 20, 0 ], [ 15, 23, 7 ], [ 15, 25, 119 ], [ 15, 26, 37 ], [ 15, 29, 64 ], [ 15, 30, 12 ], [ 15, 33, 37 ], [ 15, 34, 64 ], [ 15, 37, 12 ], [ 15, 38, 119 ], [ 15, 41, 64 ], [ 15, 42, 12 ], [ 15, 45, 119 ], [ 15, 46, 37 ], [ 15, 48, 38 ], [ 15, 51, 81 ], [ 15, 52, 99 ], [ 15, 55, 20 ], [ 15, 56, 81 ], [ 15, 59, 99 ], [ 15, 60, 20 ], [ 15, 63, 38 ], [ 15, 64, 99 ], [ 15, 67, 20 ], [ 15, 68, 38 ], [ 15, 71, 81 ], [ 15, 73, 63 ], [ 15, 74, 25 ], [ 15, 77, 85 ], [ 15, 78, 3 ], [ 15, 81, 25 ], [ 15, 82, 85 ], [ 15, 85, 3 ], [ 15, 86, 63 ], [ 15, 89, 85 ], [ 15, 90, 3 ], [ 15, 93, 63 ], [ 15, 94, 25 ], [ 15, 96, 115 ], [ 15, 99, 94 ], [ 15, 100, 51 ], [ 15, 103, 11 ], [ 15, 104, 94 ], [ 15, 107, 51 ], [ 15, 108, 11 ], [ 15, 111, 115 ], [ 15, 112, 51 ], [ 15, 115, 11 ], [ 15, 116, 115 ], [ 15, 119, 94 ], [ 16, 0, 0 ], [ 16, 3, 7 ], [ 16, 4, 23 ], [ 16, 7, 0 ], [ 16, 8, 23 ], [ 16, 11, 7 ], [ 16, 12, 7 ], [ 16, 15, 23 ], [ 16, 16, 0 ], [ 16, 19, 23 ], [ 16, 20, 7 ], [ 16, 23, 0 ], [ 16, 25, 63 ], [ 16, 26, 115 ], [ 16, 29, 38 ], [ 16, 30, 63 ], [ 16, 33, 38 ], [ 16, 34, 115 ], [ 16, 37, 115 ], [ 16, 38, 38 ], [ 16, 41, 63 ], [ 16, 42, 38 ], [ 16, 45, 115 ], [ 16, 46, 63 ], [ 16, 48, 34 ], [ 16, 51, 59 ], [ 16, 52, 77 ], [ 16, 55, 34 ], [ 16, 56, 77 ], [ 16, 59, 59 ], [ 16, 60, 59 ], [ 16, 63, 77 ], [ 16, 64, 34 ], [ 16, 67, 77 ], [ 16, 68, 59 ], [ 16, 71, 34 ], [ 16, 73, 71 ], [ 16, 74, 74 ], [ 16, 77, 108 ], [ 16, 78, 71 ], [ 16, 81, 108 ], [ 16, 82, 74 ], [ 16, 85, 74 ], [ 16, 86, 108 ], [ 16, 89, 71 ], [ 16, 90, 108 ], [ 16, 93, 74 ], [ 16, 94, 71 ], [ 16, 96, 103 ], [ 16, 99, 46 ], [ 16, 100, 73 ], [ 16, 103, 103 ], [ 16, 104, 73 ], [ 16, 107, 46 ], [ 16, 108, 46 ], [ 16, 111, 73 ], [ 16, 112, 103 ], [ 16, 115, 73 ], [ 16, 116, 46 ], [ 16, 119, 103 ], [ 19, 0, 0 ], [ 19, 3, 16 ], [ 19, 4, 7 ], [ 19, 7, 16 ], [ 19, 8, 23 ], [ 19, 11, 0 ], [ 19, 12, 7 ], [ 19, 15, 16 ], [ 19, 16, 23 ], [ 19, 19, 0 ], [ 19, 20, 23 ], [ 19, 23, 7 ], [ 19, 25, 46 ], [ 19, 26, 93 ], [ 19, 29, 67 ], [ 19, 30, 67 ], [ 19, 33, 46 ], [ 19, 34, 20 ], [ 19, 37, 46 ], [ 19, 38, 20 ], [ 19, 41, 93 ], [ 19, 42, 93 ], [ 19, 45, 67 ], [ 19, 46, 20 ], [ 19, 48, 111 ], [ 19, 51, 73 ], [ 19, 52, 68 ], [ 19, 55, 73 ], [ 19, 56, 12 ], [ 19, 59, 111 ], [ 19, 60, 68 ], [ 19, 63, 73 ], [ 19, 64, 12 ], [ 19, 67, 111 ], [ 19, 68, 12 ], [ 19, 71, 68 ], [ 19, 73, 103 ], [ 19, 74, 45 ], [ 19, 77, 48 ], [ 19, 78, 48 ], [ 19, 81, 103 ], [ 19, 82, 11 ], [ 19, 85, 103 ], [ 19, 86, 11 ], [ 19, 89, 45 ], [ 19, 90, 45 ], [ 19, 93, 48 ], [ 19, 94, 11 ], [ 19, 96, 116 ], [ 19, 99, 29 ], [ 19, 100, 90 ], [ 19, 103, 29 ], [ 19, 104, 3 ], [ 19, 107, 116 ], [ 19, 108, 90 ], [ 19, 111, 29 ], [ 19, 112, 3 ], [ 19, 115, 116 ], [ 19, 116, 3 ], [ 19, 119, 90 ], [ 20, 0, 0 ], [ 20, 3, 16 ], [ 20, 4, 7 ], [ 20, 7, 23 ], [ 20, 8, 16 ], [ 20, 11, 7 ], [ 20, 12, 23 ], [ 20, 15, 0 ], [ 20, 16, 7 ], [ 20, 19, 23 ], [ 20, 20, 0 ], [ 20, 23, 16 ], [ 20, 25, 94 ], [ 20, 26, 71 ], [ 20, 29, 42 ], [ 20, 30, 19 ], [ 20, 33, 71 ], [ 20, 34, 42 ], [ 20, 37, 19 ], [ 20, 38, 94 ], [ 20, 41, 42 ], [ 20, 42, 19 ], [ 20, 45, 94 ], [ 20, 46, 71 ], [ 20, 48, 45 ], [ 20, 51, 74 ], [ 20, 52, 104 ], [ 20, 55, 15 ], [ 20, 56, 74 ], [ 20, 59, 104 ], [ 20, 60, 15 ], [ 20, 63, 45 ], [ 20, 64, 104 ], [ 20, 67, 15 ], [ 20, 68, 45 ], [ 20, 71, 74 ], [ 20, 73, 90 ], [ 20, 74, 119 ], [ 20, 77, 52 ], [ 20, 78, 8 ], [ 20, 81, 119 ], [ 20, 82, 52 ], [ 20, 85, 8 ], [ 20, 86, 90 ], [ 20, 89, 52 ], [ 20, 90, 8 ], [ 20, 93, 90 ], [ 20, 94, 119 ], [ 20, 96, 68 ], [ 20, 99, 25 ], [ 20, 100, 108 ], [ 20, 103, 4 ], [ 20, 104, 25 ], [ 20, 107, 108 ], [ 20, 108, 4 ], [ 20, 111, 68 ], [ 20, 112, 108 ], [ 20, 115, 4 ], [ 20, 116, 68 ], [ 20, 119, 25 ], [ 23, 0, 0 ], [ 23, 3, 16 ], [ 23, 4, 7 ], [ 23, 7, 0 ], [ 23, 8, 7 ], [ 23, 11, 16 ], [ 23, 12, 16 ], [ 23, 15, 7 ], [ 23, 16, 0 ], [ 23, 19, 7 ], [ 23, 20, 16 ], [ 23, 23, 0 ], [ 23, 25, 68 ], [ 23, 26, 45 ], [ 23, 29, 90 ], [ 23, 30, 68 ], [ 23, 33, 90 ], [ 23, 34, 45 ], [ 23, 37, 45 ], [ 23, 38, 90 ], [ 23, 41, 68 ], [ 23, 42, 90 ], [ 23, 45, 45 ], [ 23, 46, 68 ], [ 23, 48, 33 ], [ 23, 51, 100 ], [ 23, 52, 56 ], [ 23, 55, 33 ], [ 23, 56, 56 ], [ 23, 59, 100 ], [ 23, 60, 100 ], [ 23, 63, 56 ], [ 23, 64, 33 ], [ 23, 67, 56 ], [ 23, 68, 100 ], [ 23, 71, 33 ], [ 23, 73, 78 ], [ 23, 74, 41 ], [ 23, 77, 96 ], [ 23, 78, 78 ], [ 23, 81, 96 ], [ 23, 82, 41 ], [ 23, 85, 41 ], [ 23, 86, 96 ], [ 23, 89, 78 ], [ 23, 90, 96 ], [ 23, 93, 41 ], [ 23, 94, 78 ], [ 23, 96, 64 ], [ 23, 99, 99 ], [ 23, 100, 85 ], [ 23, 103, 64 ], [ 23, 104, 85 ], [ 23, 107, 99 ], [ 23, 108, 99 ], [ 23, 111, 85 ], [ 23, 112, 64 ], [ 23, 115, 85 ], [ 23, 116, 99 ], [ 23, 119, 64 ], [ 25, 0, 0 ], [ 25, 3, 3 ], [ 25, 4, 4 ], [ 25, 7, 48 ], [ 25, 8, 63 ], [ 25, 11, 68 ], [ 25, 12, 100 ], [ 25, 15, 119 ], [ 25, 16, 108 ], [ 25, 19, 77 ], [ 25, 20, 94 ], [ 25, 23, 85 ], [ 25, 25, 0 ], [ 25, 26, 3 ], [ 25, 29, 4 ], [ 25, 30, 30 ], [ 25, 33, 85 ], [ 25, 34, 108 ], [ 25, 37, 46 ], [ 25, 38, 94 ], [ 25, 41, 68 ], [ 25, 42, 41 ], [ 25, 45, 119 ], [ 25, 46, 63 ], [ 25, 48, 48 ], [ 25, 51, 63 ], [ 25, 52, 68 ], [ 25, 55, 30 ], [ 25, 56, 85 ], [ 25, 59, 108 ], [ 25, 60, 41 ], [ 25, 63, 77 ], [ 25, 64, 4 ], [ 25, 67, 46 ], [ 25, 68, 100 ], [ 25, 71, 3 ], [ 25, 73, 100 ], [ 25, 74, 119 ], [ 25, 77, 108 ], [ 25, 78, 46 ], [ 25, 81, 94 ], [ 25, 82, 68 ], [ 25, 85, 41 ], [ 25, 86, 77 ], [ 25, 89, 4 ], [ 25, 90, 30 ], [ 25, 93, 48 ], [ 25, 94, 0 ], [ 25, 96, 77 ], [ 25, 99, 94 ], [ 25, 100, 85 ], [ 25, 103, 41 ], [ 25, 104, 119 ], [ 25, 107, 63 ], [ 25, 108, 46 ], [ 25, 111, 100 ], [ 25, 112, 3 ], [ 25, 115, 30 ], [ 25, 116, 48 ], [ 25, 119, 0 ], [ 26, 0, 0 ], [ 26, 3, 3 ], [ 26, 4, 4 ], [ 26, 7, 93 ], [ 26, 8, 86 ], [ 26, 11, 73 ], [ 26, 12, 60 ], [ 26, 15, 52 ], [ 26, 16, 71 ], [ 26, 19, 112 ], [ 26, 20, 115 ], [ 26, 23, 99 ], [ 26, 25, 4 ], [ 26, 26, 0 ], [ 26, 29, 3 ], [ 26, 30, 60 ], [ 26, 33, 37 ], [ 26, 34, 115 ], [ 26, 37, 112 ], [ 26, 38, 86 ], [ 26, 41, 34 ], [ 26, 42, 93 ], [ 26, 45, 45 ], [ 26, 46, 71 ], [ 26, 48, 86 ], [ 26, 51, 73 ], [ 26, 52, 93 ], [ 26, 55, 115 ], [ 26, 56, 60 ], [ 26, 59, 37 ], [ 26, 60, 0 ], [ 26, 63, 45 ], [ 26, 64, 99 ], [ 26, 67, 52 ], [ 26, 68, 4 ], [ 26, 71, 34 ], [ 26, 73, 71 ], [ 26, 74, 60 ], [ 26, 77, 52 ], [ 26, 78, 86 ], [ 26, 81, 34 ], [ 26, 82, 112 ], [ 26, 85, 99 ], [ 26, 86, 0 ], [ 26, 89, 45 ], [ 26, 90, 3 ], [ 26, 93, 37 ], [ 26, 94, 73 ], [ 26, 96, 115 ], [ 26, 99, 99 ], [ 26, 100, 112 ], [ 26, 103, 71 ], [ 26, 104, 93 ], [ 26, 107, 45 ], [ 26, 108, 4 ], [ 26, 111, 34 ], [ 26, 112, 52 ], [ 26, 115, 73 ], [ 26, 116, 3 ], [ 26, 119, 37 ], [ 29, 0, 0 ], [ 29, 3, 3 ], [ 29, 4, 4 ], [ 29, 7, 116 ], [ 29, 8, 96 ], [ 29, 11, 111 ], [ 29, 12, 89 ], [ 29, 15, 90 ], [ 29, 16, 74 ], [ 29, 19, 67 ], [ 29, 20, 51 ], [ 29, 23, 64 ], [ 29, 25, 3 ], [ 29, 26, 4 ], [ 29, 29, 0 ], [ 29, 30, 67 ], [ 29, 33, 90 ], [ 29, 34, 42 ], [ 29, 37, 116 ], [ 29, 38, 38 ], [ 29, 41, 64 ], [ 29, 42, 89 ], [ 29, 45, 111 ], [ 29, 46, 33 ], [ 29, 48, 111 ], [ 29, 51, 116 ], [ 29, 52, 96 ], [ 29, 55, 90 ], [ 29, 56, 42 ], [ 29, 59, 67 ], [ 29, 60, 51 ], [ 29, 63, 3 ], [ 29, 64, 33 ], [ 29, 67, 0 ], [ 29, 68, 38 ], [ 29, 71, 74 ], [ 29, 73, 90 ], [ 29, 74, 74 ], [ 29, 77, 89 ], [ 29, 78, 64 ], [ 29, 81, 116 ], [ 29, 82, 38 ], [ 29, 85, 3 ], [ 29, 86, 33 ], [ 29, 89, 51 ], [ 29, 90, 96 ], [ 29, 93, 4 ], [ 29, 94, 42 ], [ 29, 96, 64 ], [ 29, 99, 67 ], [ 29, 100, 51 ], [ 29, 103, 111 ], [ 29, 104, 33 ], [ 29, 107, 89 ], [ 29, 108, 74 ], [ 29, 111, 0 ], [ 29, 112, 38 ], [ 29, 115, 4 ], [ 29, 116, 42 ], [ 29, 119, 96 ], [ 30, 0, 0 ], [ 30, 3, 78 ], [ 30, 4, 103 ], [ 30, 7, 48 ], [ 30, 8, 86 ], [ 30, 11, 111 ], [ 30, 12, 60 ], [ 30, 15, 8 ], [ 30, 16, 108 ], [ 30, 19, 67 ], [ 30, 20, 11 ], [ 30, 23, 85 ], [ 30, 25, 48 ], [ 30, 26, 60 ], [ 30, 29, 67 ], [ 30, 30, 0 ], [ 30, 33, 38 ], [ 30, 34, 45 ], [ 30, 37, 78 ], [ 30, 38, 26 ], [ 30, 41, 42 ], [ 30, 42, 103 ], [ 30, 45, 29 ], [ 30, 46, 37 ], [ 30, 48, 0 ], [ 30, 51, 8 ], [ 30, 52, 11 ], [ 30, 55, 48 ], [ 30, 56, 26 ], [ 30, 59, 29 ], [ 30, 60, 86 ], [ 30, 63, 38 ], [ 30, 64, 34 ], [ 30, 67, 111 ], [ 30, 68, 45 ], [ 30, 71, 33 ], [ 30, 73, 78 ], [ 30, 74, 86 ], [ 30, 77, 85 ], [ 30, 78, 60 ], [ 30, 81, 38 ], [ 30, 82, 37 ], [ 30, 85, 8 ], [ 30, 86, 26 ], [ 30, 89, 33 ], [ 30, 90, 108 ], [ 30, 93, 42 ], [ 30, 94, 34 ], [ 30, 96, 103 ], [ 30, 99, 111 ], [ 30, 100, 108 ], [ 30, 103, 67 ], [ 30, 104, 45 ], [ 30, 107, 42 ], [ 30, 108, 11 ], [ 30, 111, 29 ], [ 30, 112, 34 ], [ 30, 115, 85 ], [ 30, 116, 37 ], [ 30, 119, 33 ], [ 33, 0, 0 ], [ 33, 3, 78 ], [ 33, 4, 103 ], [ 33, 7, 116 ], [ 33, 8, 19 ], [ 33, 11, 68 ], [ 33, 12, 20 ], [ 33, 15, 52 ], [ 33, 16, 74 ], [ 33, 19, 77 ], [ 33, 20, 115 ], [ 33, 23, 64 ], [ 33, 25, 68 ], [ 33, 26, 52 ], [ 33, 29, 64 ], [ 33, 30, 74 ], [ 33, 33, 0 ], [ 33, 34, 20 ], [ 33, 37, 115 ], [ 33, 38, 77 ], [ 33, 41, 78 ], [ 33, 42, 19 ], [ 33, 45, 103 ], [ 33, 46, 116 ], [ 33, 48, 78 ], [ 33, 51, 74 ], [ 33, 52, 77 ], [ 33, 55, 64 ], [ 33, 56, 115 ], [ 33, 59, 116 ], [ 33, 60, 103 ], [ 33, 63, 19 ], [ 33, 64, 0 ], [ 33, 67, 20 ], [ 33, 68, 52 ], [ 33, 71, 68 ], [ 33, 73, 103 ], [ 33, 74, 116 ], [ 33, 77, 115 ], [ 33, 78, 68 ], [ 33, 81, 20 ], [ 33, 82, 19 ], [ 33, 85, 77 ], [ 33, 86, 64 ], [ 33, 89, 52 ], [ 33, 90, 0 ], [ 33, 93, 74 ], [ 33, 94, 78 ], [ 33, 96, 0 ], [ 33, 99, 19 ], [ 33, 100, 20 ], [ 33, 103, 52 ], [ 33, 104, 74 ], [ 33, 107, 77 ], [ 33, 108, 78 ], [ 33, 111, 115 ], [ 33, 112, 103 ], [ 33, 115, 116 ], [ 33, 116, 68 ], [ 33, 119, 64 ], [ 34, 0, 0 ], [ 34, 3, 78 ], [ 34, 4, 103 ], [ 34, 7, 93 ], [ 34, 8, 63 ], [ 34, 11, 12 ], [ 34, 12, 100 ], [ 34, 15, 90 ], [ 34, 16, 71 ], [ 34, 19, 15 ], [ 34, 20, 51 ], [ 34, 23, 99 ], [ 34, 25, 63 ], [ 34, 26, 71 ], [ 34, 29, 51 ], [ 34, 30, 99 ], [ 34, 33, 15 ], [ 34, 34, 0 ], [ 34, 37, 12 ], [ 34, 38, 78 ], [ 34, 41, 93 ], [ 34, 42, 90 ], [ 34, 45, 100 ], [ 34, 46, 103 ], [ 34, 48, 103 ], [ 34, 51, 100 ], [ 34, 52, 99 ], [ 34, 55, 71 ], [ 34, 56, 93 ], [ 34, 59, 90 ], [ 34, 60, 15 ], [ 34, 63, 51 ], [ 34, 64, 63 ], [ 34, 67, 78 ], [ 34, 68, 12 ], [ 34, 71, 0 ], [ 34, 73, 0 ], [ 34, 74, 12 ], [ 34, 77, 15 ], [ 34, 78, 51 ], [ 34, 81, 99 ], [ 34, 82, 100 ], [ 34, 85, 103 ], [ 34, 86, 90 ], [ 34, 89, 78 ], [ 34, 90, 93 ], [ 34, 93, 63 ], [ 34, 94, 71 ], [ 34, 96, 78 ], [ 34, 99, 93 ], [ 34, 100, 90 ], [ 34, 103, 63 ], [ 34, 104, 15 ], [ 34, 107, 12 ], [ 34, 108, 100 ], [ 34, 111, 71 ], [ 34, 112, 51 ], [ 34, 115, 0 ], [ 34, 116, 99 ], [ 34, 119, 103 ], [ 37, 0, 0 ], [ 37, 3, 104 ], [ 37, 4, 56 ], [ 37, 7, 93 ], [ 37, 8, 96 ], [ 37, 11, 68 ], [ 37, 12, 89 ], [ 37, 15, 8 ], [ 37, 16, 71 ], [ 37, 19, 77 ], [ 37, 20, 11 ], [ 37, 23, 99 ], [ 37, 25, 77 ], [ 37, 26, 93 ], [ 37, 29, 89 ], [ 37, 30, 56 ], [ 37, 33, 71 ], [ 37, 34, 8 ], [ 37, 37, 0 ], [ 37, 38, 99 ], [ 37, 41, 11 ], [ 37, 42, 104 ], [ 37, 45, 96 ], [ 37, 46, 68 ], [ 37, 48, 8 ], [ 37, 51, 11 ], [ 37, 52, 0 ], [ 37, 55, 96 ], [ 37, 56, 77 ], [ 37, 59, 99 ], [ 37, 60, 68 ], [ 37, 63, 56 ], [ 37, 64, 104 ], [ 37, 67, 93 ], [ 37, 68, 71 ], [ 37, 71, 89 ], [ 37, 73, 99 ], [ 37, 74, 104 ], [ 37, 77, 96 ], [ 37, 78, 71 ], [ 37, 81, 68 ], [ 37, 82, 93 ], [ 37, 85, 89 ], [ 37, 86, 11 ], [ 37, 89, 77 ], [ 37, 90, 8 ], [ 37, 93, 0 ], [ 37, 94, 56 ], [ 37, 96, 68 ], [ 37, 99, 71 ], [ 37, 100, 56 ], [ 37, 103, 11 ], [ 37, 104, 89 ], [ 37, 107, 8 ], [ 37, 108, 99 ], [ 37, 111, 104 ], [ 37, 112, 0 ], [ 37, 115, 77 ], [ 37, 116, 96 ], [ 37, 119, 93 ], [ 38, 0, 0 ], [ 38, 3, 104 ], [ 38, 4, 56 ], [ 38, 7, 116 ], [ 38, 8, 86 ], [ 38, 11, 12 ], [ 38, 12, 60 ], [ 38, 15, 119 ], [ 38, 16, 74 ], [ 38, 19, 15 ], [ 38, 20, 94 ], [ 38, 23, 64 ], [ 38, 25, 94 ], [ 38, 26, 86 ], [ 38, 29, 74 ], [ 38, 30, 26 ], [ 38, 33, 46 ], [ 38, 34, 56 ], [ 38, 37, 45 ], [ 38, 38, 0 ], [ 38, 41, 30 ], [ 38, 42, 34 ], [ 38, 45, 25 ], [ 38, 46, 104 ], [ 38, 48, 60 ], [ 38, 51, 64 ], [ 38, 52, 56 ], [ 38, 55, 34 ], [ 38, 56, 86 ], [ 38, 59, 30 ], [ 38, 60, 26 ], [ 38, 63, 41 ], [ 38, 64, 12 ], [ 38, 67, 37 ], [ 38, 68, 116 ], [ 38, 71, 46 ], [ 38, 73, 15 ], [ 38, 74, 0 ], [ 38, 77, 12 ], [ 38, 78, 26 ], [ 38, 81, 25 ], [ 38, 82, 74 ], [ 38, 85, 37 ], [ 38, 86, 60 ], [ 38, 89, 30 ], [ 38, 90, 45 ], [ 38, 93, 41 ], [ 38, 94, 119 ], [ 38, 96, 116 ], [ 38, 99, 119 ], [ 38, 100, 104 ], [ 38, 103, 45 ], [ 38, 104, 94 ], [ 38, 107, 46 ], [ 38, 108, 34 ], [ 38, 111, 41 ], [ 38, 112, 64 ], [ 38, 115, 37 ], [ 38, 116, 15 ], [ 38, 119, 25 ], [ 41, 0, 0 ], [ 41, 3, 104 ], [ 41, 4, 56 ], [ 41, 7, 48 ], [ 41, 8, 19 ], [ 41, 11, 73 ], [ 41, 12, 20 ], [ 41, 15, 90 ], [ 41, 16, 108 ], [ 41, 19, 112 ], [ 41, 20, 51 ], [ 41, 23, 85 ], [ 41, 25, 85 ], [ 41, 26, 73 ], [ 41, 29, 90 ], [ 41, 30, 51 ], [ 41, 33, 56 ], [ 41, 34, 112 ], [ 41, 37, 19 ], [ 41, 38, 48 ], [ 41, 41, 0 ], [ 41, 42, 108 ], [ 41, 45, 104 ], [ 41, 46, 20 ], [ 41, 48, 108 ], [ 41, 51, 112 ], [ 41, 52, 104 ], [ 41, 55, 20 ], [ 41, 56, 90 ], [ 41, 59, 19 ], [ 41, 60, 85 ], [ 41, 63, 73 ], [ 41, 64, 51 ], [ 41, 67, 56 ], [ 41, 68, 0 ], [ 41, 71, 48 ], [ 41, 73, 51 ], [ 41, 74, 56 ], [ 41, 77, 48 ], [ 41, 78, 112 ], [ 41, 81, 108 ], [ 41, 82, 85 ], [ 41, 85, 0 ], [ 41, 86, 104 ], [ 41, 89, 20 ], [ 41, 90, 73 ], [ 41, 93, 90 ], [ 41, 94, 19 ], [ 41, 96, 19 ], [ 41, 99, 20 ], [ 41, 100, 0 ], [ 41, 103, 48 ], [ 41, 104, 73 ], [ 41, 107, 51 ], [ 41, 108, 90 ], [ 41, 111, 85 ], [ 41, 112, 108 ], [ 41, 115, 104 ], [ 41, 116, 56 ], [ 41, 119, 112 ], [ 42, 0, 0 ], [ 42, 3, 59 ], [ 42, 4, 81 ], [ 42, 7, 116 ], [ 42, 8, 63 ], [ 42, 11, 73 ], [ 42, 12, 100 ], [ 42, 15, 8 ], [ 42, 16, 74 ], [ 42, 19, 112 ], [ 42, 20, 11 ], [ 42, 23, 64 ], [ 42, 25, 100 ], [ 42, 26, 112 ], [ 42, 29, 116 ], [ 42, 30, 59 ], [ 42, 33, 11 ], [ 42, 34, 64 ], [ 42, 37, 81 ], [ 42, 38, 73 ], [ 42, 41, 63 ], [ 42, 42, 0 ], [ 42, 45, 74 ], [ 42, 46, 8 ], [ 42, 48, 11 ], [ 42, 51, 0 ], [ 42, 52, 8 ], [ 42, 55, 73 ], [ 42, 56, 74 ], [ 42, 59, 100 ], [ 42, 60, 116 ], [ 42, 63, 64 ], [ 42, 64, 112 ], [ 42, 67, 63 ], [ 42, 68, 59 ], [ 42, 71, 81 ], [ 42, 73, 63 ], [ 42, 74, 64 ], [ 42, 77, 59 ], [ 42, 78, 8 ], [ 42, 81, 112 ], [ 42, 82, 11 ], [ 42, 85, 74 ], [ 42, 86, 81 ], [ 42, 89, 0 ], [ 42, 90, 100 ], [ 42, 93, 73 ], [ 42, 94, 116 ], [ 42, 96, 74 ], [ 42, 99, 81 ], [ 42, 100, 73 ], [ 42, 103, 64 ], [ 42, 104, 63 ], [ 42, 107, 116 ], [ 42, 108, 112 ], [ 42, 111, 8 ], [ 42, 112, 100 ], [ 42, 115, 11 ], [ 42, 116, 0 ], [ 42, 119, 59 ], [ 45, 0, 0 ], [ 45, 3, 59 ], [ 45, 4, 81 ], [ 45, 7, 93 ], [ 45, 8, 19 ], [ 45, 11, 111 ], [ 45, 12, 20 ], [ 45, 15, 119 ], [ 45, 16, 71 ], [ 45, 19, 67 ], [ 45, 20, 94 ], [ 45, 23, 99 ], [ 45, 25, 119 ], [ 45, 26, 99 ], [ 45, 29, 111 ], [ 45, 30, 29 ], [ 45, 33, 59 ], [ 45, 34, 41 ], [ 45, 37, 33 ], [ 45, 38, 25 ], [ 45, 41, 81 ], [ 45, 42, 38 ], [ 45, 45, 0 ], [ 45, 46, 30 ], [ 45, 48, 67 ], [ 45, 51, 59 ], [ 45, 52, 71 ], [ 45, 55, 33 ], [ 45, 56, 30 ], [ 45, 59, 111 ], [ 45, 60, 42 ], [ 45, 63, 93 ], [ 45, 64, 41 ], [ 45, 67, 29 ], [ 45, 68, 46 ], [ 45, 71, 19 ], [ 45, 73, 93 ], [ 45, 74, 94 ], [ 45, 77, 81 ], [ 45, 78, 38 ], [ 45, 81, 119 ], [ 45, 82, 41 ], [ 45, 85, 33 ], [ 45, 86, 46 ], [ 45, 89, 71 ], [ 45, 90, 42 ], [ 45, 93, 20 ], [ 45, 94, 25 ], [ 45, 96, 20 ], [ 45, 99, 0 ], [ 45, 100, 19 ], [ 45, 103, 29 ], [ 45, 104, 25 ], [ 45, 107, 99 ], [ 45, 108, 42 ], [ 45, 111, 67 ], [ 45, 112, 30 ], [ 45, 115, 38 ], [ 45, 116, 46 ], [ 45, 119, 94 ], [ 46, 0, 0 ], [ 46, 3, 59 ], [ 46, 4, 81 ], [ 46, 7, 48 ], [ 46, 8, 96 ], [ 46, 11, 12 ], [ 46, 12, 89 ], [ 46, 15, 52 ], [ 46, 16, 108 ], [ 46, 19, 15 ], [ 46, 20, 115 ], [ 46, 23, 85 ], [ 46, 25, 108 ], [ 46, 26, 115 ], [ 46, 29, 96 ], [ 46, 30, 52 ], [ 46, 33, 89 ], [ 46, 34, 59 ], [ 46, 37, 85 ], [ 46, 38, 81 ], [ 46, 41, 15 ], [ 46, 42, 12 ], [ 46, 45, 48 ], [ 46, 46, 0 ], [ 46, 48, 85 ], [ 46, 51, 81 ], [ 46, 52, 89 ], [ 46, 55, 15 ], [ 46, 56, 12 ], [ 46, 59, 115 ], [ 46, 60, 59 ], [ 46, 63, 0 ], [ 46, 64, 48 ], [ 46, 67, 108 ], [ 46, 68, 96 ], [ 46, 71, 52 ], [ 46, 73, 12 ], [ 46, 74, 15 ], [ 46, 77, 0 ], [ 46, 78, 48 ], [ 46, 81, 96 ], [ 46, 82, 52 ], [ 46, 85, 115 ], [ 46, 86, 108 ], [ 46, 89, 85 ], [ 46, 90, 81 ], [ 46, 93, 59 ], [ 46, 94, 89 ], [ 46, 96, 52 ], [ 46, 99, 59 ], [ 46, 100, 48 ], [ 46, 103, 89 ], [ 46, 104, 85 ], [ 46, 107, 108 ], [ 46, 108, 0 ], [ 46, 111, 81 ], [ 46, 112, 15 ], [ 46, 115, 96 ], [ 46, 116, 115 ], [ 46, 119, 12 ], [ 48, 0, 0 ], [ 48, 3, 12 ], [ 48, 4, 19 ], [ 48, 7, 30 ], [ 48, 8, 26 ], [ 48, 11, 29 ], [ 48, 12, 86 ], [ 48, 15, 74 ], [ 48, 16, 73 ], [ 48, 19, 111 ], [ 48, 20, 99 ], [ 48, 23, 96 ], [ 48, 25, 30 ], [ 48, 26, 86 ], [ 48, 29, 111 ], [ 48, 30, 0 ], [ 48, 33, 56 ], [ 48, 34, 59 ], [ 48, 37, 12 ], [ 48, 38, 60 ], [ 48, 41, 63 ], [ 48, 42, 19 ], [ 48, 45, 67 ], [ 48, 46, 68 ], [ 48, 48, 0 ], [ 48, 51, 74 ], [ 48, 52, 99 ], [ 48, 55, 30 ], [ 48, 56, 60 ], [ 48, 59, 67 ], [ 48, 60, 26 ], [ 48, 63, 56 ], [ 48, 64, 51 ], [ 48, 67, 29 ], [ 48, 68, 59 ], [ 48, 71, 52 ], [ 48, 73, 12 ], [ 48, 74, 26 ], [ 48, 77, 96 ], [ 48, 78, 86 ], [ 48, 81, 56 ], [ 48, 82, 68 ], [ 48, 85, 74 ], [ 48, 86, 60 ], [ 48, 89, 52 ], [ 48, 90, 73 ], [ 48, 93, 63 ], [ 48, 94, 51 ], [ 48, 96, 19 ], [ 48, 99, 29 ], [ 48, 100, 73 ], [ 48, 103, 111 ], [ 48, 104, 59 ], [ 48, 107, 63 ], [ 48, 108, 99 ], [ 48, 111, 67 ], [ 48, 112, 51 ], [ 48, 115, 96 ], [ 48, 116, 68 ], [ 48, 119, 52 ], [ 51, 0, 0 ], [ 51, 3, 12 ], [ 51, 4, 19 ], [ 51, 7, 89 ], [ 51, 8, 93 ], [ 51, 11, 90 ], [ 51, 12, 108 ], [ 51, 15, 104 ], [ 51, 16, 103 ], [ 51, 19, 34 ], [ 51, 20, 38 ], [ 51, 23, 41 ], [ 51, 25, 108 ], [ 51, 26, 34 ], [ 51, 29, 89 ], [ 51, 30, 12 ], [ 51, 33, 38 ], [ 51, 34, 41 ], [ 51, 37, 19 ], [ 51, 38, 90 ], [ 51, 41, 93 ], [ 51, 42, 0 ], [ 51, 45, 103 ], [ 51, 46, 104 ], [ 51, 48, 38 ], [ 51, 51, 0 ], [ 51, 52, 104 ], [ 51, 55, 90 ], [ 51, 56, 103 ], [ 51, 59, 108 ], [ 51, 60, 89 ], [ 51, 63, 41 ], [ 51, 64, 34 ], [ 51, 67, 93 ], [ 51, 68, 12 ], [ 51, 71, 19 ], [ 51, 73, 93 ], [ 51, 74, 41 ], [ 51, 77, 12 ], [ 51, 78, 104 ], [ 51, 81, 34 ], [ 51, 82, 38 ], [ 51, 85, 103 ], [ 51, 86, 19 ], [ 51, 89, 0 ], [ 51, 90, 108 ], [ 51, 93, 90 ], [ 51, 94, 89 ], [ 51, 96, 103 ], [ 51, 99, 19 ], [ 51, 100, 90 ], [ 51, 103, 41 ], [ 51, 104, 93 ], [ 51, 107, 89 ], [ 51, 108, 34 ], [ 51, 111, 104 ], [ 51, 112, 108 ], [ 51, 115, 38 ], [ 51, 116, 0 ], [ 51, 119, 12 ], [ 52, 0, 0 ], [ 52, 3, 12 ], [ 52, 4, 19 ], [ 52, 7, 112 ], [ 52, 8, 115 ], [ 52, 11, 116 ], [ 52, 12, 33 ], [ 52, 15, 45 ], [ 52, 16, 46 ], [ 52, 19, 85 ], [ 52, 20, 81 ], [ 52, 23, 78 ], [ 52, 25, 85 ], [ 52, 26, 112 ], [ 52, 29, 33 ], [ 52, 30, 19 ], [ 52, 33, 46 ], [ 52, 34, 45 ], [ 52, 37, 0 ], [ 52, 38, 78 ], [ 52, 41, 81 ], [ 52, 42, 12 ], [ 52, 45, 115 ], [ 52, 46, 116 ], [ 52, 48, 45 ], [ 52, 51, 81 ], [ 52, 52, 0 ], [ 52, 55, 115 ], [ 52, 56, 85 ], [ 52, 59, 78 ], [ 52, 60, 116 ], [ 52, 63, 19 ], [ 52, 64, 12 ], [ 52, 67, 112 ], [ 52, 68, 46 ], [ 52, 71, 33 ], [ 52, 73, 78 ], [ 52, 74, 12 ], [ 52, 77, 115 ], [ 52, 78, 46 ], [ 52, 81, 116 ], [ 52, 82, 112 ], [ 52, 85, 33 ], [ 52, 86, 81 ], [ 52, 89, 85 ], [ 52, 90, 45 ], [ 52, 93, 0 ], [ 52, 94, 19 ], [ 52, 96, 116 ], [ 52, 99, 46 ], [ 52, 100, 19 ], [ 52, 103, 81 ], [ 52, 104, 33 ], [ 52, 107, 45 ], [ 52, 108, 78 ], [ 52, 111, 12 ], [ 52, 112, 0 ], [ 52, 115, 85 ], [ 52, 116, 115 ], [ 52, 119, 112 ], [ 55, 0, 0 ], [ 55, 3, 107 ], [ 55, 4, 82 ], [ 55, 7, 30 ], [ 55, 8, 115 ], [ 55, 11, 90 ], [ 55, 12, 33 ], [ 55, 15, 15 ], [ 55, 16, 73 ], [ 55, 19, 34 ], [ 55, 20, 20 ], [ 55, 23, 96 ], [ 55, 25, 48 ], [ 55, 26, 71 ], [ 55, 29, 64 ], [ 55, 30, 30 ], [ 55, 33, 90 ], [ 55, 34, 115 ], [ 55, 37, 33 ], [ 55, 38, 73 ], [ 55, 41, 15 ], [ 55, 42, 34 ], [ 55, 45, 96 ], [ 55, 46, 20 ], [ 55, 48, 48 ], [ 55, 51, 64 ], [ 55, 52, 71 ], [ 55, 55, 0 ], [ 55, 56, 82 ], [ 55, 59, 107 ], [ 55, 60, 15 ], [ 55, 63, 73 ], [ 55, 64, 33 ], [ 55, 67, 20 ], [ 55, 68, 96 ], [ 55, 71, 34 ], [ 55, 73, 71 ], [ 55, 74, 64 ], [ 55, 77, 48 ], [ 55, 78, 107 ], [ 55, 81, 82 ], [ 55, 82, 0 ], [ 55, 85, 115 ], [ 55, 86, 90 ], [ 55, 89, 30 ], [ 55, 90, 96 ], [ 55, 93, 20 ], [ 55, 94, 34 ], [ 55, 96, 64 ], [ 55, 99, 71 ], [ 55, 100, 48 ], [ 55, 103, 82 ], [ 55, 104, 107 ], [ 55, 107, 0 ], [ 55, 108, 90 ], [ 55, 111, 115 ], [ 55, 112, 30 ], [ 55, 115, 73 ], [ 55, 116, 15 ], [ 55, 119, 33 ], [ 56, 0, 0 ], [ 56, 3, 107 ], [ 56, 4, 82 ], [ 56, 7, 112 ], [ 56, 8, 26 ], [ 56, 11, 3 ], [ 56, 12, 86 ], [ 56, 15, 104 ], [ 56, 16, 46 ], [ 56, 19, 8 ], [ 56, 20, 38 ], [ 56, 23, 78 ], [ 56, 25, 68 ], [ 56, 26, 60 ], [ 56, 29, 51 ], [ 56, 30, 26 ], [ 56, 33, 71 ], [ 56, 34, 112 ], [ 56, 37, 46 ], [ 56, 38, 86 ], [ 56, 41, 64 ], [ 56, 42, 38 ], [ 56, 45, 48 ], [ 56, 46, 8 ], [ 56, 48, 60 ], [ 56, 51, 59 ], [ 56, 52, 68 ], [ 56, 55, 82 ], [ 56, 56, 0 ], [ 56, 59, 55 ], [ 56, 60, 86 ], [ 56, 63, 64 ], [ 56, 64, 104 ], [ 56, 67, 78 ], [ 56, 68, 38 ], [ 56, 71, 48 ], [ 56, 73, 51 ], [ 56, 74, 60 ], [ 56, 77, 59 ], [ 56, 78, 0 ], [ 56, 81, 55 ], [ 56, 82, 107 ], [ 56, 85, 3 ], [ 56, 86, 26 ], [ 56, 89, 71 ], [ 56, 90, 8 ], [ 56, 93, 48 ], [ 56, 94, 78 ], [ 56, 96, 68 ], [ 56, 99, 59 ], [ 56, 100, 51 ], [ 56, 103, 107 ], [ 56, 104, 82 ], [ 56, 107, 55 ], [ 56, 108, 112 ], [ 56, 111, 71 ], [ 56, 112, 3 ], [ 56, 115, 104 ], [ 56, 116, 46 ], [ 56, 119, 64 ], [ 59, 0, 0 ], [ 59, 3, 107 ], [ 59, 4, 82 ], [ 59, 7, 89 ], [ 59, 8, 4 ], [ 59, 11, 29 ], [ 59, 12, 11 ], [ 59, 15, 45 ], [ 59, 16, 103 ], [ 59, 19, 111 ], [ 59, 20, 81 ], [ 59, 23, 41 ], [ 59, 25, 63 ], [ 59, 26, 52 ], [ 59, 29, 67 ], [ 59, 30, 29 ], [ 59, 33, 89 ], [ 59, 34, 64 ], [ 59, 37, 45 ], [ 59, 38, 48 ], [ 59, 41, 11 ], [ 59, 42, 41 ], [ 59, 45, 111 ], [ 59, 46, 71 ], [ 59, 48, 67 ], [ 59, 51, 63 ], [ 59, 52, 56 ], [ 59, 55, 107 ], [ 59, 56, 55 ], [ 59, 59, 0 ], [ 59, 60, 103 ], [ 59, 63, 45 ], [ 59, 64, 48 ], [ 59, 67, 111 ], [ 59, 68, 71 ], [ 59, 71, 81 ], [ 59, 73, 63 ], [ 59, 74, 56 ], [ 59, 77, 52 ], [ 59, 78, 82 ], [ 59, 81, 107 ], [ 59, 82, 55 ], [ 59, 85, 89 ], [ 59, 86, 64 ], [ 59, 89, 4 ], [ 59, 90, 81 ], [ 59, 93, 41 ], [ 59, 94, 71 ], [ 59, 96, 52 ], [ 59, 99, 67 ], [ 59, 100, 56 ], [ 59, 103, 0 ], [ 59, 104, 55 ], [ 59, 107, 82 ], [ 59, 108, 4 ], [ 59, 111, 29 ], [ 59, 112, 64 ], [ 59, 115, 11 ], [ 59, 116, 48 ], [ 59, 119, 103 ], [ 60, 0, 0 ], [ 60, 3, 42 ], [ 60, 4, 100 ], [ 60, 7, 89 ], [ 60, 8, 26 ], [ 60, 11, 116 ], [ 60, 12, 86 ], [ 60, 15, 15 ], [ 60, 16, 103 ], [ 60, 19, 85 ], [ 60, 20, 20 ], [ 60, 23, 41 ], [ 60, 25, 100 ], [ 60, 26, 0 ], [ 60, 29, 42 ], [ 60, 30, 86 ], [ 60, 33, 59 ], [ 60, 34, 20 ], [ 60, 37, 85 ], [ 60, 38, 26 ], [ 60, 41, 68 ], [ 60, 42, 89 ], [ 60, 45, 51 ], [ 60, 46, 103 ], [ 60, 48, 26 ], [ 60, 51, 116 ], [ 60, 52, 89 ], [ 60, 55, 20 ], [ 60, 56, 86 ], [ 60, 59, 59 ], [ 60, 60, 0 ], [ 60, 63, 51 ], [ 60, 64, 41 ], [ 60, 67, 15 ], [ 60, 68, 100 ], [ 60, 71, 68 ], [ 60, 73, 103 ], [ 60, 74, 86 ], [ 60, 77, 15 ], [ 60, 78, 26 ], [ 60, 81, 68 ], [ 60, 82, 85 ], [ 60, 85, 41 ], [ 60, 86, 0 ], [ 60, 89, 51 ], [ 60, 90, 42 ], [ 60, 93, 59 ], [ 60, 94, 116 ], [ 60, 96, 20 ], [ 60, 99, 41 ], [ 60, 100, 85 ], [ 60, 103, 103 ], [ 60, 104, 89 ], [ 60, 107, 51 ], [ 60, 108, 100 ], [ 60, 111, 68 ], [ 60, 112, 15 ], [ 60, 115, 116 ], [ 60, 116, 42 ], [ 60, 119, 59 ], [ 63, 0, 0 ], [ 63, 3, 42 ], [ 63, 4, 100 ], [ 63, 7, 112 ], [ 63, 8, 4 ], [ 63, 11, 90 ], [ 63, 12, 11 ], [ 63, 15, 74 ], [ 63, 16, 46 ], [ 63, 19, 34 ], [ 63, 20, 99 ], [ 63, 23, 78 ], [ 63, 25, 46 ], [ 63, 26, 99 ], [ 63, 29, 4 ], [ 63, 30, 74 ], [ 63, 33, 11 ], [ 63, 34, 42 ], [ 63, 37, 78 ], [ 63, 38, 100 ], [ 63, 41, 34 ], [ 63, 42, 90 ], [ 63, 45, 112 ], [ 63, 46, 0 ], [ 63, 48, 78 ], [ 63, 51, 100 ], [ 63, 52, 11 ], [ 63, 55, 34 ], [ 63, 56, 90 ], [ 63, 59, 99 ], [ 63, 60, 42 ], [ 63, 63, 0 ], [ 63, 64, 112 ], [ 63, 67, 46 ], [ 63, 68, 4 ], [ 63, 71, 74 ], [ 63, 73, 90 ], [ 63, 74, 34 ], [ 63, 77, 0 ], [ 63, 78, 112 ], [ 63, 81, 4 ], [ 63, 82, 74 ], [ 63, 85, 99 ], [ 63, 86, 46 ], [ 63, 89, 78 ], [ 63, 90, 100 ], [ 63, 93, 42 ], [ 63, 94, 11 ], [ 63, 96, 74 ], [ 63, 99, 42 ], [ 63, 100, 112 ], [ 63, 103, 11 ], [ 63, 104, 78 ], [ 63, 107, 46 ], [ 63, 108, 0 ], [ 63, 111, 100 ], [ 63, 112, 34 ], [ 63, 115, 4 ], [ 63, 116, 99 ], [ 63, 119, 90 ], [ 64, 0, 0 ], [ 64, 3, 42 ], [ 64, 4, 100 ], [ 64, 7, 30 ], [ 64, 8, 93 ], [ 64, 11, 3 ], [ 64, 12, 108 ], [ 64, 15, 45 ], [ 64, 16, 73 ], [ 64, 19, 8 ], [ 64, 20, 81 ], [ 64, 23, 96 ], [ 64, 25, 3 ], [ 64, 26, 45 ], [ 64, 29, 96 ], [ 64, 30, 73 ], [ 64, 33, 0 ], [ 64, 34, 108 ], [ 64, 37, 81 ], [ 64, 38, 8 ], [ 64, 41, 42 ], [ 64, 42, 93 ], [ 64, 45, 100 ], [ 64, 46, 30 ], [ 64, 48, 42 ], [ 64, 51, 73 ], [ 64, 52, 8 ], [ 64, 55, 96 ], [ 64, 56, 81 ], [ 64, 59, 30 ], [ 64, 60, 100 ], [ 64, 63, 93 ], [ 64, 64, 0 ], [ 64, 67, 108 ], [ 64, 68, 45 ], [ 64, 71, 3 ], [ 64, 73, 100 ], [ 64, 74, 30 ], [ 64, 77, 81 ], [ 64, 78, 3 ], [ 64, 81, 108 ], [ 64, 82, 93 ], [ 64, 85, 8 ], [ 64, 86, 96 ], [ 64, 89, 45 ], [ 64, 90, 0 ], [ 64, 93, 73 ], [ 64, 94, 42 ], [ 64, 96, 0 ], [ 64, 99, 93 ], [ 64, 100, 108 ], [ 64, 103, 45 ], [ 64, 104, 73 ], [ 64, 107, 8 ], [ 64, 108, 42 ], [ 64, 111, 81 ], [ 64, 112, 100 ], [ 64, 115, 30 ], [ 64, 116, 3 ], [ 64, 119, 96 ], [ 67, 0, 0 ], [ 67, 3, 77 ], [ 67, 4, 37 ], [ 67, 7, 112 ], [ 67, 8, 93 ], [ 67, 11, 29 ], [ 67, 12, 108 ], [ 67, 15, 15 ], [ 67, 16, 46 ], [ 67, 19, 111 ], [ 67, 20, 20 ], [ 67, 23, 78 ], [ 67, 25, 77 ], [ 67, 26, 37 ], [ 67, 29, 0 ], [ 67, 30, 111 ], [ 67, 33, 15 ], [ 67, 34, 56 ], [ 67, 37, 112 ], [ 67, 38, 52 ], [ 67, 41, 78 ], [ 67, 42, 108 ], [ 67, 45, 29 ], [ 67, 46, 63 ], [ 67, 48, 29 ], [ 67, 51, 112 ], [ 67, 52, 93 ], [ 67, 55, 15 ], [ 67, 56, 56 ], [ 67, 59, 111 ], [ 67, 60, 20 ], [ 67, 63, 77 ], [ 67, 64, 63 ], [ 67, 67, 0 ], [ 67, 68, 52 ], [ 67, 71, 46 ], [ 67, 73, 15 ], [ 67, 74, 46 ], [ 67, 77, 108 ], [ 67, 78, 78 ], [ 67, 81, 112 ], [ 67, 82, 52 ], [ 67, 85, 77 ], [ 67, 86, 63 ], [ 67, 89, 20 ], [ 67, 90, 93 ], [ 67, 93, 37 ], [ 67, 94, 56 ], [ 67, 96, 78 ], [ 67, 99, 111 ], [ 67, 100, 20 ], [ 67, 103, 29 ], [ 67, 104, 63 ], [ 67, 107, 108 ], [ 67, 108, 46 ], [ 67, 111, 0 ], [ 67, 112, 52 ], [ 67, 115, 37 ], [ 67, 116, 56 ], [ 67, 119, 93 ], [ 68, 0, 0 ], [ 68, 3, 77 ], [ 68, 4, 37 ], [ 68, 7, 89 ], [ 68, 8, 115 ], [ 68, 11, 3 ], [ 68, 12, 33 ], [ 68, 15, 74 ], [ 68, 16, 103 ], [ 68, 19, 8 ], [ 68, 20, 99 ], [ 68, 23, 41 ], [ 68, 25, 41 ], [ 68, 26, 3 ], [ 68, 29, 74 ], [ 68, 30, 99 ], [ 68, 33, 37 ], [ 68, 34, 8 ], [ 68, 37, 115 ], [ 68, 38, 89 ], [ 68, 41, 0 ], [ 68, 42, 103 ], [ 68, 45, 77 ], [ 68, 46, 33 ], [ 68, 48, 103 ], [ 68, 51, 8 ], [ 68, 52, 77 ], [ 68, 55, 33 ], [ 68, 56, 74 ], [ 68, 59, 115 ], [ 68, 60, 41 ], [ 68, 63, 3 ], [ 68, 64, 99 ], [ 68, 67, 37 ], [ 68, 68, 0 ], [ 68, 71, 89 ], [ 68, 73, 99 ], [ 68, 74, 37 ], [ 68, 77, 89 ], [ 68, 78, 8 ], [ 68, 81, 103 ], [ 68, 82, 41 ], [ 68, 85, 0 ], [ 68, 86, 77 ], [ 68, 89, 33 ], [ 68, 90, 3 ], [ 68, 93, 74 ], [ 68, 94, 115 ], [ 68, 96, 115 ], [ 68, 99, 33 ], [ 68, 100, 0 ], [ 68, 103, 89 ], [ 68, 104, 3 ], [ 68, 107, 99 ], [ 68, 108, 74 ], [ 68, 111, 41 ], [ 68, 112, 103 ], [ 68, 115, 77 ], [ 68, 116, 37 ], [ 68, 119, 8 ], [ 71, 0, 0 ], [ 71, 3, 77 ], [ 71, 4, 37 ], [ 71, 7, 30 ], [ 71, 8, 4 ], [ 71, 11, 116 ], [ 71, 12, 11 ], [ 71, 15, 104 ], [ 71, 16, 73 ], [ 71, 19, 85 ], [ 71, 20, 38 ], [ 71, 23, 96 ], [ 71, 25, 4 ], [ 71, 26, 73 ], [ 71, 29, 38 ], [ 71, 30, 96 ], [ 71, 33, 85 ], [ 71, 34, 0 ], [ 71, 37, 116 ], [ 71, 38, 77 ], [ 71, 41, 30 ], [ 71, 42, 104 ], [ 71, 45, 11 ], [ 71, 46, 37 ], [ 71, 48, 37 ], [ 71, 51, 11 ], [ 71, 52, 96 ], [ 71, 55, 73 ], [ 71, 56, 30 ], [ 71, 59, 104 ], [ 71, 60, 85 ], [ 71, 63, 38 ], [ 71, 64, 4 ], [ 71, 67, 77 ], [ 71, 68, 116 ], [ 71, 71, 0 ], [ 71, 73, 0 ], [ 71, 74, 116 ], [ 71, 77, 85 ], [ 71, 78, 38 ], [ 71, 81, 96 ], [ 71, 82, 11 ], [ 71, 85, 37 ], [ 71, 86, 104 ], [ 71, 89, 77 ], [ 71, 90, 30 ], [ 71, 93, 4 ], [ 71, 94, 73 ], [ 71, 96, 77 ], [ 71, 99, 30 ], [ 71, 100, 104 ], [ 71, 103, 4 ], [ 71, 104, 85 ], [ 71, 107, 116 ], [ 71, 108, 11 ], [ 71, 111, 73 ], [ 71, 112, 38 ], [ 71, 115, 0 ], [ 71, 116, 96 ], [ 71, 119, 37 ], [ 73, 0, 0 ], [ 73, 3, 20 ], [ 73, 4, 8 ], [ 73, 7, 42 ], [ 73, 8, 41 ], [ 73, 11, 45 ], [ 73, 12, 112 ], [ 73, 15, 108 ], [ 73, 16, 115 ], [ 73, 19, 59 ], [ 73, 20, 64 ], [ 73, 23, 56 ], [ 73, 25, 41 ], [ 73, 26, 115 ], [ 73, 29, 64 ], [ 73, 30, 56 ], [ 73, 33, 59 ], [ 73, 34, 0 ], [ 73, 37, 45 ], [ 73, 38, 20 ], [ 73, 41, 42 ], [ 73, 42, 108 ], [ 73, 45, 112 ], [ 73, 46, 8 ], [ 73, 48, 8 ], [ 73, 51, 112 ], [ 73, 52, 56 ], [ 73, 55, 115 ], [ 73, 56, 42 ], [ 73, 59, 108 ], [ 73, 60, 59 ], [ 73, 63, 64 ], [ 73, 64, 41 ], [ 73, 67, 20 ], [ 73, 68, 45 ], [ 73, 71, 0 ], [ 73, 73, 0 ], [ 73, 74, 45 ], [ 73, 77, 59 ], [ 73, 78, 64 ], [ 73, 81, 56 ], [ 73, 82, 112 ], [ 73, 85, 8 ], [ 73, 86, 108 ], [ 73, 89, 20 ], [ 73, 90, 42 ], [ 73, 93, 41 ], [ 73, 94, 115 ], [ 73, 96, 20 ], [ 73, 99, 42 ], [ 73, 100, 108 ], [ 73, 103, 41 ], [ 73, 104, 59 ], [ 73, 107, 45 ], [ 73, 108, 112 ], [ 73, 111, 115 ], [ 73, 112, 64 ], [ 73, 115, 0 ], [ 73, 116, 56 ], [ 73, 119, 8 ], [ 74, 0, 0 ], [ 74, 3, 20 ], [ 74, 4, 8 ], [ 74, 7, 52 ], [ 74, 8, 60 ], [ 74, 11, 48 ], [ 74, 12, 26 ], [ 74, 15, 25 ], [ 74, 16, 38 ], [ 74, 19, 99 ], [ 74, 20, 119 ], [ 74, 23, 100 ], [ 74, 25, 119 ], [ 74, 26, 60 ], [ 74, 29, 38 ], [ 74, 30, 86 ], [ 74, 33, 89 ], [ 74, 34, 8 ], [ 74, 37, 81 ], [ 74, 38, 0 ], [ 74, 41, 78 ], [ 74, 42, 90 ], [ 74, 45, 94 ], [ 74, 46, 20 ], [ 74, 48, 26 ], [ 74, 51, 100 ], [ 74, 52, 8 ], [ 74, 55, 90 ], [ 74, 56, 60 ], [ 74, 59, 78 ], [ 74, 60, 86 ], [ 74, 63, 73 ], [ 74, 64, 48 ], [ 74, 67, 77 ], [ 74, 68, 52 ], [ 74, 71, 89 ], [ 74, 73, 99 ], [ 74, 74, 0 ], [ 74, 77, 48 ], [ 74, 78, 86 ], [ 74, 81, 94 ], [ 74, 82, 38 ], [ 74, 85, 77 ], [ 74, 86, 26 ], [ 74, 89, 78 ], [ 74, 90, 81 ], [ 74, 93, 73 ], [ 74, 94, 25 ], [ 74, 96, 52 ], [ 74, 99, 25 ], [ 74, 100, 20 ], [ 74, 103, 81 ], [ 74, 104, 119 ], [ 74, 107, 89 ], [ 74, 108, 90 ], [ 74, 111, 73 ], [ 74, 112, 100 ], [ 74, 115, 77 ], [ 74, 116, 99 ], [ 74, 119, 94 ], [ 77, 0, 0 ], [ 77, 3, 20 ], [ 77, 4, 8 ], [ 77, 7, 104 ], [ 77, 8, 116 ], [ 77, 11, 103 ], [ 77, 12, 71 ], [ 77, 15, 68 ], [ 77, 16, 63 ], [ 77, 19, 30 ], [ 77, 20, 37 ], [ 77, 23, 33 ], [ 77, 25, 63 ], [ 77, 26, 37 ], [ 77, 29, 116 ], [ 77, 30, 68 ], [ 77, 33, 71 ], [ 77, 34, 20 ], [ 77, 37, 33 ], [ 77, 38, 8 ], [ 77, 41, 30 ], [ 77, 42, 103 ], [ 77, 45, 104 ], [ 77, 46, 0 ], [ 77, 48, 33 ], [ 77, 51, 8 ], [ 77, 52, 71 ], [ 77, 55, 30 ], [ 77, 56, 103 ], [ 77, 59, 37 ], [ 77, 60, 20 ], [ 77, 63, 0 ], [ 77, 64, 104 ], [ 77, 67, 63 ], [ 77, 68, 116 ], [ 77, 71, 68 ], [ 77, 73, 103 ], [ 77, 74, 30 ], [ 77, 77, 0 ], [ 77, 78, 104 ], [ 77, 81, 116 ], [ 77, 82, 68 ], [ 77, 85, 37 ], [ 77, 86, 63 ], [ 77, 89, 33 ], [ 77, 90, 8 ], [ 77, 93, 20 ], [ 77, 94, 71 ], [ 77, 96, 68 ], [ 77, 99, 20 ], [ 77, 100, 104 ], [ 77, 103, 71 ], [ 77, 104, 33 ], [ 77, 107, 63 ], [ 77, 108, 0 ], [ 77, 111, 8 ], [ 77, 112, 30 ], [ 77, 115, 116 ], [ 77, 116, 37 ], [ 77, 119, 103 ], [ 78, 0, 0 ], [ 78, 3, 55 ], [ 78, 4, 107 ], [ 78, 7, 42 ], [ 78, 8, 60 ], [ 78, 11, 103 ], [ 78, 12, 26 ], [ 78, 15, 4 ], [ 78, 16, 115 ], [ 78, 19, 30 ], [ 78, 20, 12 ], [ 78, 23, 56 ], [ 78, 25, 77 ], [ 78, 26, 86 ], [ 78, 29, 90 ], [ 78, 30, 60 ], [ 78, 33, 85 ], [ 78, 34, 42 ], [ 78, 37, 115 ], [ 78, 38, 26 ], [ 78, 41, 93 ], [ 78, 42, 12 ], [ 78, 45, 74 ], [ 78, 46, 30 ], [ 78, 48, 86 ], [ 78, 51, 81 ], [ 78, 52, 77 ], [ 78, 55, 107 ], [ 78, 56, 0 ], [ 78, 59, 82 ], [ 78, 60, 26 ], [ 78, 63, 93 ], [ 78, 64, 4 ], [ 78, 67, 56 ], [ 78, 68, 12 ], [ 78, 71, 74 ], [ 78, 73, 90 ], [ 78, 74, 86 ], [ 78, 77, 81 ], [ 78, 78, 0 ], [ 78, 81, 82 ], [ 78, 82, 55 ], [ 78, 85, 103 ], [ 78, 86, 60 ], [ 78, 89, 85 ], [ 78, 90, 30 ], [ 78, 93, 74 ], [ 78, 94, 56 ], [ 78, 96, 77 ], [ 78, 99, 81 ], [ 78, 100, 90 ], [ 78, 103, 55 ], [ 78, 104, 107 ], [ 78, 107, 82 ], [ 78, 108, 42 ], [ 78, 111, 85 ], [ 78, 112, 103 ], [ 78, 115, 4 ], [ 78, 116, 115 ], [ 78, 119, 93 ], [ 81, 0, 0 ], [ 81, 3, 55 ], [ 81, 4, 107 ], [ 81, 7, 104 ], [ 81, 8, 15 ], [ 81, 11, 45 ], [ 81, 12, 3 ], [ 81, 15, 25 ], [ 81, 16, 63 ], [ 81, 19, 59 ], [ 81, 20, 119 ], [ 81, 23, 33 ], [ 81, 25, 94 ], [ 81, 26, 73 ], [ 81, 29, 89 ], [ 81, 30, 74 ], [ 81, 33, 15 ], [ 81, 34, 45 ], [ 81, 37, 85 ], [ 81, 38, 25 ], [ 81, 41, 63 ], [ 81, 42, 93 ], [ 81, 45, 119 ], [ 81, 46, 33 ], [ 81, 48, 78 ], [ 81, 51, 73 ], [ 81, 52, 89 ], [ 81, 55, 82 ], [ 81, 56, 55 ], [ 81, 59, 107 ], [ 81, 60, 85 ], [ 81, 63, 3 ], [ 81, 64, 63 ], [ 81, 67, 93 ], [ 81, 68, 59 ], [ 81, 71, 33 ], [ 81, 73, 78 ], [ 81, 74, 94 ], [ 81, 77, 89 ], [ 81, 78, 82 ], [ 81, 81, 0 ], [ 81, 82, 107 ], [ 81, 85, 74 ], [ 81, 86, 104 ], [ 81, 89, 45 ], [ 81, 90, 93 ], [ 81, 93, 59 ], [ 81, 94, 119 ], [ 81, 96, 78 ], [ 81, 99, 94 ], [ 81, 100, 73 ], [ 81, 103, 82 ], [ 81, 104, 0 ], [ 81, 107, 55 ], [ 81, 108, 74 ], [ 81, 111, 104 ], [ 81, 112, 15 ], [ 81, 115, 85 ], [ 81, 116, 3 ], [ 81, 119, 25 ], [ 82, 0, 0 ], [ 82, 3, 55 ], [ 82, 4, 107 ], [ 82, 7, 52 ], [ 82, 8, 41 ], [ 82, 11, 11 ], [ 82, 12, 112 ], [ 82, 15, 68 ], [ 82, 16, 38 ], [ 82, 19, 19 ], [ 82, 20, 37 ], [ 82, 23, 100 ], [ 82, 25, 85 ], [ 82, 26, 93 ], [ 82, 29, 74 ], [ 82, 30, 52 ], [ 82, 33, 11 ], [ 82, 34, 41 ], [ 82, 37, 112 ], [ 82, 38, 38 ], [ 82, 41, 68 ], [ 82, 42, 19 ], [ 82, 45, 100 ], [ 82, 46, 37 ], [ 82, 48, 85 ], [ 82, 51, 74 ], [ 82, 52, 93 ], [ 82, 55, 0 ], [ 82, 56, 107 ], [ 82, 59, 55 ], [ 82, 60, 68 ], [ 82, 63, 38 ], [ 82, 64, 112 ], [ 82, 67, 37 ], [ 82, 68, 100 ], [ 82, 71, 19 ], [ 82, 73, 93 ], [ 82, 74, 74 ], [ 82, 77, 85 ], [ 82, 78, 55 ], [ 82, 81, 107 ], [ 82, 82, 0 ], [ 82, 85, 41 ], [ 82, 86, 11 ], [ 82, 89, 52 ], [ 82, 90, 100 ], [ 82, 93, 37 ], [ 82, 94, 19 ], [ 82, 96, 74 ], [ 82, 99, 93 ], [ 82, 100, 85 ], [ 82, 103, 107 ], [ 82, 104, 55 ], [ 82, 107, 0 ], [ 82, 108, 11 ], [ 82, 111, 41 ], [ 82, 112, 52 ], [ 82, 115, 38 ], [ 82, 116, 68 ], [ 82, 119, 112 ], [ 85, 0, 0 ], [ 85, 3, 96 ], [ 85, 4, 46 ], [ 85, 7, 52 ], [ 85, 8, 116 ], [ 85, 11, 45 ], [ 85, 12, 71 ], [ 85, 15, 4 ], [ 85, 16, 38 ], [ 85, 19, 59 ], [ 85, 20, 12 ], [ 85, 23, 100 ], [ 85, 25, 100 ], [ 85, 26, 45 ], [ 85, 29, 4 ], [ 85, 30, 12 ], [ 85, 33, 46 ], [ 85, 34, 59 ], [ 85, 37, 116 ], [ 85, 38, 52 ], [ 85, 41, 0 ], [ 85, 42, 38 ], [ 85, 45, 96 ], [ 85, 46, 71 ], [ 85, 48, 38 ], [ 85, 51, 59 ], [ 85, 52, 96 ], [ 85, 55, 71 ], [ 85, 56, 4 ], [ 85, 59, 116 ], [ 85, 60, 100 ], [ 85, 63, 45 ], [ 85, 64, 12 ], [ 85, 67, 46 ], [ 85, 68, 0 ], [ 85, 71, 52 ], [ 85, 73, 12 ], [ 85, 74, 46 ], [ 85, 77, 52 ], [ 85, 78, 59 ], [ 85, 81, 38 ], [ 85, 82, 100 ], [ 85, 85, 0 ], [ 85, 86, 96 ], [ 85, 89, 71 ], [ 85, 90, 45 ], [ 85, 93, 4 ], [ 85, 94, 116 ], [ 85, 96, 116 ], [ 85, 99, 71 ], [ 85, 100, 0 ], [ 85, 103, 52 ], [ 85, 104, 45 ], [ 85, 107, 12 ], [ 85, 108, 4 ], [ 85, 111, 100 ], [ 85, 112, 38 ], [ 85, 115, 96 ], [ 85, 116, 46 ], [ 85, 119, 59 ], [ 86, 0, 0 ], [ 86, 3, 96 ], [ 86, 4, 46 ], [ 86, 7, 104 ], [ 86, 8, 60 ], [ 86, 11, 11 ], [ 86, 12, 26 ], [ 86, 15, 108 ], [ 86, 16, 63 ], [ 86, 19, 19 ], [ 86, 20, 64 ], [ 86, 23, 33 ], [ 86, 25, 46 ], [ 86, 26, 0 ], [ 86, 29, 96 ], [ 86, 30, 26 ], [ 86, 33, 90 ], [ 86, 34, 64 ], [ 86, 37, 19 ], [ 86, 38, 60 ], [ 86, 41, 81 ], [ 86, 42, 104 ], [ 86, 45, 77 ], [ 86, 46, 63 ], [ 86, 48, 60 ], [ 86, 51, 11 ], [ 86, 52, 104 ], [ 86, 55, 64 ], [ 86, 56, 26 ], [ 86, 59, 90 ], [ 86, 60, 0 ], [ 86, 63, 77 ], [ 86, 64, 33 ], [ 86, 67, 108 ], [ 86, 68, 46 ], [ 86, 71, 81 ], [ 86, 73, 63 ], [ 86, 74, 26 ], [ 86, 77, 108 ], [ 86, 78, 60 ], [ 86, 81, 81 ], [ 86, 82, 19 ], [ 86, 85, 33 ], [ 86, 86, 0 ], [ 86, 89, 77 ], [ 86, 90, 96 ], [ 86, 93, 90 ], [ 86, 94, 11 ], [ 86, 96, 64 ], [ 86, 99, 33 ], [ 86, 100, 19 ], [ 86, 103, 63 ], [ 86, 104, 104 ], [ 86, 107, 77 ], [ 86, 108, 46 ], [ 86, 111, 81 ], [ 86, 112, 108 ], [ 86, 115, 11 ], [ 86, 116, 96 ], [ 86, 119, 90 ], [ 89, 0, 0 ], [ 89, 3, 96 ], [ 89, 4, 46 ], [ 89, 7, 42 ], [ 89, 8, 15 ], [ 89, 11, 48 ], [ 89, 12, 3 ], [ 89, 15, 68 ], [ 89, 16, 115 ], [ 89, 19, 99 ], [ 89, 20, 37 ], [ 89, 23, 56 ], [ 89, 25, 3 ], [ 89, 26, 99 ], [ 89, 29, 42 ], [ 89, 30, 96 ], [ 89, 33, 37 ], [ 89, 34, 56 ], [ 89, 37, 46 ], [ 89, 38, 48 ], [ 89, 41, 15 ], [ 89, 42, 0 ], [ 89, 45, 115 ], [ 89, 46, 68 ], [ 89, 48, 37 ], [ 89, 51, 0 ], [ 89, 52, 68 ], [ 89, 55, 48 ], [ 89, 56, 115 ], [ 89, 59, 3 ], [ 89, 60, 42 ], [ 89, 63, 56 ], [ 89, 64, 99 ], [ 89, 67, 15 ], [ 89, 68, 96 ], [ 89, 71, 46 ], [ 89, 73, 15 ], [ 89, 74, 56 ], [ 89, 77, 96 ], [ 89, 78, 68 ], [ 89, 81, 99 ], [ 89, 82, 37 ], [ 89, 85, 115 ], [ 89, 86, 46 ], [ 89, 89, 0 ], [ 89, 90, 3 ], [ 89, 93, 48 ], [ 89, 94, 42 ], [ 89, 96, 115 ], [ 89, 99, 46 ], [ 89, 100, 48 ], [ 89, 103, 56 ], [ 89, 104, 15 ], [ 89, 107, 42 ], [ 89, 108, 99 ], [ 89, 111, 68 ], [ 89, 112, 3 ], [ 89, 115, 37 ], [ 89, 116, 0 ], [ 89, 119, 96 ], [ 90, 0, 0 ], [ 90, 3, 34 ], [ 90, 4, 51 ], [ 90, 7, 104 ], [ 90, 8, 41 ], [ 90, 11, 48 ], [ 90, 12, 112 ], [ 90, 15, 4 ], [ 90, 16, 63 ], [ 90, 19, 99 ], [ 90, 20, 12 ], [ 90, 23, 33 ], [ 90, 25, 48 ], [ 90, 26, 4 ], [ 90, 29, 33 ], [ 90, 30, 63 ], [ 90, 33, 0 ], [ 90, 34, 112 ], [ 90, 37, 12 ], [ 90, 38, 99 ], [ 90, 41, 34 ], [ 90, 42, 41 ], [ 90, 45, 51 ], [ 90, 46, 104 ], [ 90, 48, 34 ], [ 90, 51, 63 ], [ 90, 52, 99 ], [ 90, 55, 33 ], [ 90, 56, 12 ], [ 90, 59, 104 ], [ 90, 60, 51 ], [ 90, 63, 41 ], [ 90, 64, 0 ], [ 90, 67, 112 ], [ 90, 68, 4 ], [ 90, 71, 48 ], [ 90, 73, 51 ], [ 90, 74, 104 ], [ 90, 77, 12 ], [ 90, 78, 48 ], [ 90, 81, 112 ], [ 90, 82, 41 ], [ 90, 85, 99 ], [ 90, 86, 33 ], [ 90, 89, 4 ], [ 90, 90, 0 ], [ 90, 93, 63 ], [ 90, 94, 34 ], [ 90, 96, 0 ], [ 90, 99, 41 ], [ 90, 100, 112 ], [ 90, 103, 4 ], [ 90, 104, 63 ], [ 90, 107, 99 ], [ 90, 108, 34 ], [ 90, 111, 12 ], [ 90, 112, 51 ], [ 90, 115, 104 ], [ 90, 116, 48 ], [ 90, 119, 33 ], [ 93, 0, 0 ], [ 93, 3, 34 ], [ 93, 4, 51 ], [ 93, 7, 52 ], [ 93, 8, 15 ], [ 93, 11, 103 ], [ 93, 12, 3 ], [ 93, 15, 108 ], [ 93, 16, 38 ], [ 93, 19, 30 ], [ 93, 20, 64 ], [ 93, 23, 100 ], [ 93, 25, 30 ], [ 93, 26, 52 ], [ 93, 29, 3 ], [ 93, 30, 51 ], [ 93, 33, 38 ], [ 93, 34, 108 ], [ 93, 37, 0 ], [ 93, 38, 100 ], [ 93, 41, 64 ], [ 93, 42, 34 ], [ 93, 45, 15 ], [ 93, 46, 103 ], [ 93, 48, 108 ], [ 93, 51, 64 ], [ 93, 52, 0 ], [ 93, 55, 15 ], [ 93, 56, 30 ], [ 93, 59, 100 ], [ 93, 60, 103 ], [ 93, 63, 51 ], [ 93, 64, 34 ], [ 93, 67, 52 ], [ 93, 68, 38 ], [ 93, 71, 3 ], [ 93, 73, 100 ], [ 93, 74, 34 ], [ 93, 77, 15 ], [ 93, 78, 38 ], [ 93, 81, 103 ], [ 93, 82, 52 ], [ 93, 85, 3 ], [ 93, 86, 64 ], [ 93, 89, 30 ], [ 93, 90, 108 ], [ 93, 93, 0 ], [ 93, 94, 51 ], [ 93, 96, 103 ], [ 93, 99, 38 ], [ 93, 100, 51 ], [ 93, 103, 64 ], [ 93, 104, 3 ], [ 93, 107, 108 ], [ 93, 108, 100 ], [ 93, 111, 34 ], [ 93, 112, 0 ], [ 93, 115, 30 ], [ 93, 116, 15 ], [ 93, 119, 52 ], [ 94, 0, 0 ], [ 94, 3, 34 ], [ 94, 4, 51 ], [ 94, 7, 42 ], [ 94, 8, 116 ], [ 94, 11, 11 ], [ 94, 12, 71 ], [ 94, 15, 25 ], [ 94, 16, 115 ], [ 94, 19, 19 ], [ 94, 20, 119 ], [ 94, 23, 56 ], [ 94, 25, 0 ], [ 94, 26, 34 ], [ 94, 29, 51 ], [ 94, 30, 73 ], [ 94, 33, 56 ], [ 94, 34, 115 ], [ 94, 37, 78 ], [ 94, 38, 119 ], [ 94, 41, 11 ], [ 94, 42, 89 ], [ 94, 45, 25 ], [ 94, 46, 116 ], [ 94, 48, 42 ], [ 94, 51, 116 ], [ 94, 52, 11 ], [ 94, 55, 73 ], [ 94, 56, 56 ], [ 94, 59, 115 ], [ 94, 60, 89 ], [ 94, 63, 19 ], [ 94, 64, 51 ], [ 94, 67, 78 ], [ 94, 68, 71 ], [ 94, 71, 34 ], [ 94, 73, 71 ], [ 94, 74, 25 ], [ 94, 77, 115 ], [ 94, 78, 78 ], [ 94, 81, 119 ], [ 94, 82, 11 ], [ 94, 85, 89 ], [ 94, 86, 19 ], [ 94, 89, 51 ], [ 94, 90, 73 ], [ 94, 93, 42 ], [ 94, 94, 0 ], [ 94, 96, 19 ], [ 94, 99, 119 ], [ 94, 100, 56 ], [ 94, 103, 89 ], [ 94, 104, 25 ], [ 94, 107, 116 ], [ 94, 108, 78 ], [ 94, 111, 71 ], [ 94, 112, 34 ], [ 94, 115, 73 ], [ 94, 116, 42 ], [ 94, 119, 0 ], [ 96, 0, 0 ], [ 96, 3, 11 ], [ 96, 4, 15 ], [ 96, 7, 37 ], [ 96, 8, 38 ], [ 96, 11, 46 ], [ 96, 12, 56 ], [ 96, 15, 71 ], [ 96, 16, 59 ], [ 96, 19, 89 ], [ 96, 20, 85 ], [ 96, 23, 90 ], [ 96, 25, 46 ], [ 96, 26, 71 ], [ 96, 29, 90 ], [ 96, 30, 59 ], [ 96, 33, 0 ], [ 96, 34, 56 ], [ 96, 37, 85 ], [ 96, 38, 89 ], [ 96, 41, 11 ], [ 96, 42, 38 ], [ 96, 45, 15 ], [ 96, 46, 37 ], [ 96, 48, 11 ], [ 96, 51, 59 ], [ 96, 52, 89 ], [ 96, 55, 90 ], [ 96, 56, 85 ], [ 96, 59, 37 ], [ 96, 60, 15 ], [ 96, 63, 38 ], [ 96, 64, 0 ], [ 96, 67, 56 ], [ 96, 68, 71 ], [ 96, 71, 46 ], [ 96, 73, 15 ], [ 96, 74, 37 ], [ 96, 77, 85 ], [ 96, 78, 46 ], [ 96, 81, 56 ], [ 96, 82, 38 ], [ 96, 85, 89 ], [ 96, 86, 90 ], [ 96, 89, 71 ], [ 96, 90, 0 ], [ 96, 93, 59 ], [ 96, 94, 11 ], [ 96, 96, 0 ], [ 96, 99, 38 ], [ 96, 100, 56 ], [ 96, 103, 71 ], [ 96, 104, 59 ], [ 96, 107, 89 ], [ 96, 108, 11 ], [ 96, 111, 85 ], [ 96, 112, 15 ], [ 96, 115, 37 ], [ 96, 116, 46 ], [ 96, 119, 90 ], [ 99, 0, 0 ], [ 99, 3, 11 ], [ 99, 4, 15 ], [ 99, 7, 51 ], [ 99, 8, 48 ], [ 99, 11, 67 ], [ 99, 12, 74 ], [ 99, 15, 94 ], [ 99, 16, 77 ], [ 99, 19, 29 ], [ 99, 20, 25 ], [ 99, 23, 45 ], [ 99, 25, 94 ], [ 99, 26, 45 ], [ 99, 29, 67 ], [ 99, 30, 111 ], [ 99, 33, 11 ], [ 99, 34, 112 ], [ 99, 37, 115 ], [ 99, 38, 119 ], [ 99, 41, 15 ], [ 99, 42, 104 ], [ 99, 45, 0 ], [ 99, 46, 103 ], [ 99, 48, 29 ], [ 99, 51, 11 ], [ 99, 52, 77 ], [ 99, 55, 115 ], [ 99, 56, 103 ], [ 99, 59, 67 ], [ 99, 60, 100 ], [ 99, 63, 51 ], [ 99, 64, 112 ], [ 99, 67, 111 ], [ 99, 68, 96 ], [ 99, 71, 48 ], [ 99, 73, 51 ], [ 99, 74, 25 ], [ 99, 77, 15 ], [ 99, 78, 104 ], [ 99, 81, 94 ], [ 99, 82, 112 ], [ 99, 85, 115 ], [ 99, 86, 96 ], [ 99, 89, 77 ], [ 99, 90, 100 ], [ 99, 93, 74 ], [ 99, 94, 119 ], [ 99, 96, 74 ], [ 99, 99, 0 ], [ 99, 100, 48 ], [ 99, 103, 111 ], [ 99, 104, 119 ], [ 99, 107, 45 ], [ 99, 108, 100 ], [ 99, 111, 29 ], [ 99, 112, 103 ], [ 99, 115, 104 ], [ 99, 116, 96 ], [ 99, 119, 25 ], [ 100, 0, 0 ], [ 100, 3, 11 ], [ 100, 4, 15 ], [ 100, 7, 81 ], [ 100, 8, 78 ], [ 100, 11, 93 ], [ 100, 12, 30 ], [ 100, 15, 42 ], [ 100, 16, 34 ], [ 100, 19, 64 ], [ 100, 20, 63 ], [ 100, 23, 68 ], [ 100, 25, 68 ], [ 100, 26, 93 ], [ 100, 29, 42 ], [ 100, 30, 63 ], [ 100, 33, 15 ], [ 100, 34, 64 ], [ 100, 37, 78 ], [ 100, 38, 81 ], [ 100, 41, 0 ], [ 100, 42, 34 ], [ 100, 45, 11 ], [ 100, 46, 30 ], [ 100, 48, 34 ], [ 100, 51, 64 ], [ 100, 52, 11 ], [ 100, 55, 30 ], [ 100, 56, 42 ], [ 100, 59, 78 ], [ 100, 60, 68 ], [ 100, 63, 93 ], [ 100, 64, 63 ], [ 100, 67, 15 ], [ 100, 68, 0 ], [ 100, 71, 81 ], [ 100, 73, 63 ], [ 100, 74, 15 ], [ 100, 77, 81 ], [ 100, 78, 64 ], [ 100, 81, 34 ], [ 100, 82, 68 ], [ 100, 85, 0 ], [ 100, 86, 11 ], [ 100, 89, 30 ], [ 100, 90, 93 ], [ 100, 93, 42 ], [ 100, 94, 78 ], [ 100, 96, 78 ], [ 100, 99, 30 ], [ 100, 100, 0 ], [ 100, 103, 81 ], [ 100, 104, 93 ], [ 100, 107, 63 ], [ 100, 108, 42 ], [ 100, 111, 68 ], [ 100, 112, 34 ], [ 100, 115, 11 ], [ 100, 116, 15 ], [ 100, 119, 64 ], [ 103, 0, 0 ], [ 103, 3, 82 ], [ 103, 4, 55 ], [ 103, 7, 37 ], [ 103, 8, 78 ], [ 103, 11, 67 ], [ 103, 12, 30 ], [ 103, 15, 19 ], [ 103, 16, 59 ], [ 103, 19, 29 ], [ 103, 20, 3 ], [ 103, 23, 90 ], [ 103, 25, 100 ], [ 103, 26, 115 ], [ 103, 29, 111 ], [ 103, 30, 67 ], [ 103, 33, 37 ], [ 103, 34, 108 ], [ 103, 37, 19 ], [ 103, 38, 99 ], [ 103, 41, 30 ], [ 103, 42, 90 ], [ 103, 45, 29 ], [ 103, 46, 116 ], [ 103, 48, 111 ], [ 103, 51, 100 ], [ 103, 52, 104 ], [ 103, 55, 82 ], [ 103, 56, 107 ], [ 103, 59, 0 ], [ 103, 60, 59 ], [ 103, 63, 19 ], [ 103, 64, 99 ], [ 103, 67, 29 ], [ 103, 68, 116 ], [ 103, 71, 3 ], [ 103, 73, 100 ], [ 103, 74, 104 ], [ 103, 77, 115 ], [ 103, 78, 55 ], [ 103, 81, 82 ], [ 103, 82, 107 ], [ 103, 85, 37 ], [ 103, 86, 108 ], [ 103, 89, 78 ], [ 103, 90, 3 ], [ 103, 93, 90 ], [ 103, 94, 116 ], [ 103, 96, 115 ], [ 103, 99, 111 ], [ 103, 100, 104 ], [ 103, 103, 0 ], [ 103, 104, 107 ], [ 103, 107, 55 ], [ 103, 108, 78 ], [ 103, 111, 67 ], [ 103, 112, 108 ], [ 103, 115, 30 ], [ 103, 116, 99 ], [ 103, 119, 59 ], [ 104, 0, 0 ], [ 104, 3, 82 ], [ 104, 4, 55 ], [ 104, 7, 81 ], [ 104, 8, 38 ], [ 104, 11, 20 ], [ 104, 12, 56 ], [ 104, 15, 94 ], [ 104, 16, 34 ], [ 104, 19, 4 ], [ 104, 20, 25 ], [ 104, 23, 68 ], [ 104, 25, 119 ], [ 104, 26, 112 ], [ 104, 29, 96 ], [ 104, 30, 99 ], [ 104, 33, 38 ], [ 104, 34, 20 ], [ 104, 37, 116 ], [ 104, 38, 94 ], [ 104, 41, 34 ], [ 104, 42, 108 ], [ 104, 45, 25 ], [ 104, 46, 68 ], [ 104, 48, 103 ], [ 104, 51, 112 ], [ 104, 52, 96 ], [ 104, 55, 107 ], [ 104, 56, 82 ], [ 104, 59, 55 ], [ 104, 60, 116 ], [ 104, 63, 56 ], [ 104, 64, 34 ], [ 104, 67, 108 ], [ 104, 68, 4 ], [ 104, 71, 68 ], [ 104, 73, 103 ], [ 104, 74, 119 ], [ 104, 77, 96 ], [ 104, 78, 107 ], [ 104, 81, 0 ], [ 104, 82, 55 ], [ 104, 85, 99 ], [ 104, 86, 81 ], [ 104, 89, 20 ], [ 104, 90, 108 ], [ 104, 93, 4 ], [ 104, 94, 25 ], [ 104, 96, 103 ], [ 104, 99, 119 ], [ 104, 100, 112 ], [ 104, 103, 107 ], [ 104, 104, 0 ], [ 104, 107, 82 ], [ 104, 108, 99 ], [ 104, 111, 81 ], [ 104, 112, 38 ], [ 104, 115, 116 ], [ 104, 116, 56 ], [ 104, 119, 94 ], [ 107, 0, 0 ], [ 107, 3, 82 ], [ 107, 4, 55 ], [ 107, 7, 51 ], [ 107, 8, 8 ], [ 107, 11, 46 ], [ 107, 12, 12 ], [ 107, 15, 42 ], [ 107, 16, 77 ], [ 107, 19, 89 ], [ 107, 20, 63 ], [ 107, 23, 45 ], [ 107, 25, 108 ], [ 107, 26, 99 ], [ 107, 29, 116 ], [ 107, 30, 51 ], [ 107, 33, 46 ], [ 107, 34, 8 ], [ 107, 37, 12 ], [ 107, 38, 77 ], [ 107, 41, 42 ], [ 107, 42, 89 ], [ 107, 45, 45 ], [ 107, 46, 63 ], [ 107, 48, 108 ], [ 107, 51, 116 ], [ 107, 52, 99 ], [ 107, 55, 0 ], [ 107, 56, 55 ], [ 107, 59, 82 ], [ 107, 60, 42 ], [ 107, 63, 77 ], [ 107, 64, 12 ], [ 107, 67, 63 ], [ 107, 68, 45 ], [ 107, 71, 89 ], [ 107, 73, 99 ], [ 107, 74, 116 ], [ 107, 77, 108 ], [ 107, 78, 82 ], [ 107, 81, 55 ], [ 107, 82, 0 ], [ 107, 85, 8 ], [ 107, 86, 46 ], [ 107, 89, 51 ], [ 107, 90, 45 ], [ 107, 93, 63 ], [ 107, 94, 89 ], [ 107, 96, 116 ], [ 107, 99, 99 ], [ 107, 100, 108 ], [ 107, 103, 55 ], [ 107, 104, 82 ], [ 107, 107, 0 ], [ 107, 108, 46 ], [ 107, 111, 8 ], [ 107, 112, 51 ], [ 107, 115, 77 ], [ 107, 116, 42 ], [ 107, 119, 12 ], [ 108, 0, 0 ], [ 108, 3, 41 ], [ 108, 4, 73 ], [ 108, 7, 51 ], [ 108, 8, 38 ], [ 108, 11, 93 ], [ 108, 12, 56 ], [ 108, 15, 19 ], [ 108, 16, 77 ], [ 108, 19, 64 ], [ 108, 20, 3 ], [ 108, 23, 45 ], [ 108, 25, 77 ], [ 108, 26, 3 ], [ 108, 29, 38 ], [ 108, 30, 19 ], [ 108, 33, 56 ], [ 108, 34, 41 ], [ 108, 37, 45 ], [ 108, 38, 73 ], [ 108, 41, 64 ], [ 108, 42, 93 ], [ 108, 45, 51 ], [ 108, 46, 0 ], [ 108, 48, 45 ], [ 108, 51, 73 ], [ 108, 52, 56 ], [ 108, 55, 64 ], [ 108, 56, 93 ], [ 108, 59, 3 ], [ 108, 60, 41 ], [ 108, 63, 0 ], [ 108, 64, 51 ], [ 108, 67, 77 ], [ 108, 68, 38 ], [ 108, 71, 19 ], [ 108, 73, 93 ], [ 108, 74, 64 ], [ 108, 77, 0 ], [ 108, 78, 51 ], [ 108, 81, 38 ], [ 108, 82, 19 ], [ 108, 85, 3 ], [ 108, 86, 77 ], [ 108, 89, 45 ], [ 108, 90, 73 ], [ 108, 93, 41 ], [ 108, 94, 56 ], [ 108, 96, 19 ], [ 108, 99, 41 ], [ 108, 100, 51 ], [ 108, 103, 56 ], [ 108, 104, 45 ], [ 108, 107, 77 ], [ 108, 108, 0 ], [ 108, 111, 73 ], [ 108, 112, 64 ], [ 108, 115, 38 ], [ 108, 116, 3 ], [ 108, 119, 93 ], [ 111, 0, 0 ], [ 111, 3, 41 ], [ 111, 4, 73 ], [ 111, 7, 81 ], [ 111, 8, 8 ], [ 111, 11, 67 ], [ 111, 12, 12 ], [ 111, 15, 71 ], [ 111, 16, 34 ], [ 111, 19, 29 ], [ 111, 20, 85 ], [ 111, 23, 68 ], [ 111, 25, 41 ], [ 111, 26, 73 ], [ 111, 29, 0 ], [ 111, 30, 29 ], [ 111, 33, 71 ], [ 111, 34, 115 ], [ 111, 37, 81 ], [ 111, 38, 100 ], [ 111, 41, 68 ], [ 111, 42, 12 ], [ 111, 45, 67 ], [ 111, 46, 104 ], [ 111, 48, 67 ], [ 111, 51, 81 ], [ 111, 52, 8 ], [ 111, 55, 71 ], [ 111, 56, 115 ], [ 111, 59, 29 ], [ 111, 60, 85 ], [ 111, 63, 41 ], [ 111, 64, 104 ], [ 111, 67, 0 ], [ 111, 68, 100 ], [ 111, 71, 34 ], [ 111, 73, 71 ], [ 111, 74, 34 ], [ 111, 77, 12 ], [ 111, 78, 68 ], [ 111, 81, 81 ], [ 111, 82, 100 ], [ 111, 85, 41 ], [ 111, 86, 104 ], [ 111, 89, 85 ], [ 111, 90, 8 ], [ 111, 93, 73 ], [ 111, 94, 115 ], [ 111, 96, 68 ], [ 111, 99, 29 ], [ 111, 100, 85 ], [ 111, 103, 67 ], [ 111, 104, 104 ], [ 111, 107, 12 ], [ 111, 108, 34 ], [ 111, 111, 0 ], [ 111, 112, 100 ], [ 111, 115, 73 ], [ 111, 116, 115 ], [ 111, 119, 8 ], [ 112, 0, 0 ], [ 112, 3, 41 ], [ 112, 4, 73 ], [ 112, 7, 37 ], [ 112, 8, 48 ], [ 112, 11, 20 ], [ 112, 12, 74 ], [ 112, 15, 42 ], [ 112, 16, 59 ], [ 112, 19, 4 ], [ 112, 20, 63 ], [ 112, 23, 90 ], [ 112, 25, 4 ], [ 112, 26, 37 ], [ 112, 29, 74 ], [ 112, 30, 73 ], [ 112, 33, 59 ], [ 112, 34, 42 ], [ 112, 37, 0 ], [ 112, 38, 90 ], [ 112, 41, 63 ], [ 112, 42, 41 ], [ 112, 45, 48 ], [ 112, 46, 20 ], [ 112, 48, 42 ], [ 112, 51, 63 ], [ 112, 52, 0 ], [ 112, 55, 48 ], [ 112, 56, 4 ], [ 112, 59, 90 ], [ 112, 60, 20 ], [ 112, 63, 73 ], [ 112, 64, 41 ], [ 112, 67, 37 ], [ 112, 68, 59 ], [ 112, 71, 74 ], [ 112, 73, 90 ], [ 112, 74, 41 ], [ 112, 77, 48 ], [ 112, 78, 59 ], [ 112, 81, 20 ], [ 112, 82, 37 ], [ 112, 85, 74 ], [ 112, 86, 63 ], [ 112, 89, 4 ], [ 112, 90, 42 ], [ 112, 93, 0 ], [ 112, 94, 73 ], [ 112, 96, 20 ], [ 112, 99, 59 ], [ 112, 100, 73 ], [ 112, 103, 63 ], [ 112, 104, 74 ], [ 112, 107, 42 ], [ 112, 108, 90 ], [ 112, 111, 41 ], [ 112, 112, 0 ], [ 112, 115, 4 ], [ 112, 116, 48 ], [ 112, 119, 37 ], [ 115, 0, 0 ], [ 115, 3, 52 ], [ 115, 4, 33 ], [ 115, 7, 81 ], [ 115, 8, 48 ], [ 115, 11, 46 ], [ 115, 12, 74 ], [ 115, 15, 19 ], [ 115, 16, 34 ], [ 115, 19, 89 ], [ 115, 20, 3 ], [ 115, 23, 68 ], [ 115, 25, 48 ], [ 115, 26, 34 ], [ 115, 29, 3 ], [ 115, 30, 68 ], [ 115, 33, 89 ], [ 115, 34, 0 ], [ 115, 37, 46 ], [ 115, 38, 52 ], [ 115, 41, 81 ], [ 115, 42, 19 ], [ 115, 45, 74 ], [ 115, 46, 33 ], [ 115, 48, 33 ], [ 115, 51, 74 ], [ 115, 52, 68 ], [ 115, 55, 34 ], [ 115, 56, 81 ], [ 115, 59, 19 ], [ 115, 60, 89 ], [ 115, 63, 3 ], [ 115, 64, 48 ], [ 115, 67, 52 ], [ 115, 68, 46 ], [ 115, 71, 0 ], [ 115, 73, 0 ], [ 115, 74, 46 ], [ 115, 77, 89 ], [ 115, 78, 3 ], [ 115, 81, 68 ], [ 115, 82, 74 ], [ 115, 85, 33 ], [ 115, 86, 19 ], [ 115, 89, 52 ], [ 115, 90, 81 ], [ 115, 93, 48 ], [ 115, 94, 34 ], [ 115, 96, 52 ], [ 115, 99, 81 ], [ 115, 100, 19 ], [ 115, 103, 48 ], [ 115, 104, 89 ], [ 115, 107, 46 ], [ 115, 108, 74 ], [ 115, 111, 34 ], [ 115, 112, 3 ], [ 115, 115, 0 ], [ 115, 116, 68 ], [ 115, 119, 33 ], [ 116, 0, 0 ], [ 116, 3, 52 ], [ 116, 4, 33 ], [ 116, 7, 51 ], [ 116, 8, 78 ], [ 116, 11, 20 ], [ 116, 12, 30 ], [ 116, 15, 71 ], [ 116, 16, 77 ], [ 116, 19, 4 ], [ 116, 20, 85 ], [ 116, 23, 45 ], [ 116, 25, 30 ], [ 116, 26, 4 ], [ 116, 29, 51 ], [ 116, 30, 52 ], [ 116, 33, 85 ], [ 116, 34, 45 ], [ 116, 37, 33 ], [ 116, 38, 20 ], [ 116, 41, 78 ], [ 116, 42, 0 ], [ 116, 45, 77 ], [ 116, 46, 71 ], [ 116, 48, 85 ], [ 116, 51, 0 ], [ 116, 52, 71 ], [ 116, 55, 20 ], [ 116, 56, 77 ], [ 116, 59, 30 ], [ 116, 60, 51 ], [ 116, 63, 45 ], [ 116, 64, 4 ], [ 116, 67, 78 ], [ 116, 68, 52 ], [ 116, 71, 33 ], [ 116, 73, 78 ], [ 116, 74, 45 ], [ 116, 77, 52 ], [ 116, 78, 71 ], [ 116, 81, 4 ], [ 116, 82, 85 ], [ 116, 85, 77 ], [ 116, 86, 33 ], [ 116, 89, 0 ], [ 116, 90, 30 ], [ 116, 93, 20 ], [ 116, 94, 51 ], [ 116, 96, 77 ], [ 116, 99, 33 ], [ 116, 100, 20 ], [ 116, 103, 45 ], [ 116, 104, 78 ], [ 116, 107, 51 ], [ 116, 108, 4 ], [ 116, 111, 71 ], [ 116, 112, 30 ], [ 116, 115, 85 ], [ 116, 116, 0 ], [ 116, 119, 52 ], [ 119, 0, 0 ], [ 119, 3, 52 ], [ 119, 4, 33 ], [ 119, 7, 37 ], [ 119, 8, 8 ], [ 119, 11, 93 ], [ 119, 12, 12 ], [ 119, 15, 94 ], [ 119, 16, 59 ], [ 119, 19, 64 ], [ 119, 20, 25 ], [ 119, 23, 90 ], [ 119, 25, 0 ], [ 119, 26, 52 ], [ 119, 29, 33 ], [ 119, 30, 96 ], [ 119, 33, 90 ], [ 119, 34, 59 ], [ 119, 37, 112 ], [ 119, 38, 25 ], [ 119, 41, 93 ], [ 119, 42, 103 ], [ 119, 45, 94 ], [ 119, 46, 8 ], [ 119, 48, 37 ], [ 119, 51, 8 ], [ 119, 52, 93 ], [ 119, 55, 96 ], [ 119, 56, 90 ], [ 119, 59, 59 ], [ 119, 60, 103 ], [ 119, 63, 64 ], [ 119, 64, 33 ], [ 119, 67, 112 ], [ 119, 68, 12 ], [ 119, 71, 52 ], [ 119, 73, 12 ], [ 119, 74, 94 ], [ 119, 77, 59 ], [ 119, 78, 112 ], [ 119, 81, 25 ], [ 119, 82, 93 ], [ 119, 85, 103 ], [ 119, 86, 64 ], [ 119, 89, 33 ], [ 119, 90, 96 ], [ 119, 93, 37 ], [ 119, 94, 0 ], [ 119, 96, 64 ], [ 119, 99, 25 ], [ 119, 100, 90 ], [ 119, 103, 103 ], [ 119, 104, 94 ], [ 119, 107, 8 ], [ 119, 108, 112 ], [ 119, 111, 12 ], [ 119, 112, 52 ], [ 119, 115, 96 ], [ 119, 116, 37 ], [ 119, 119, 0 ] ], "generators": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "next": [ 0, 3, 4, 7, 8, 11, 12, 15, 16, 19, 20, 23, 25, 26, 29, 30, 33, 34, 37, 38, 41, 42, 45, 46, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 73, 74, 77, 78, 81, 82, 85, 86, 89, 90, 93, 94, 96, 99, 100, 103, 104, 107, 108, 111, 112, 115, 116, 119 ], "words": { "0": [], "3": [ 3 ], "4": [ 4 ], "7": [ 7 ], "8": [ 8 ], "11": [ 11 ], "12": [ 12 ], "15": [ 15 ], "16": [ 16 ], "19": [ 19 ], "20": [ 20 ], "23": [ 23 ], "25": [ 25 ], "26": [ 26 ], "29": [ 29 ], "30": [ 30 ], "33": [ 33 ], "34": [ 34 ], "37": [ 37 ], "38": [ 38 ], "41": [ 41 ], "42": [ 42 ], "45": [ 45 ], "46": [ 46 ], "48": [ 48 ], "51": [ 51 ], "52": [ 52 ], "55": [ 55 ], "56": [ 56 ], "59": [ 59 ], "60": [ 60 ], "63": [ 63 ], "64": [ 64 ], "67": [ 67 ], "68": [ 68 ], "71": [ 71 ], "73": [ 73 ], "74": [ 74 ], "77": [ 77 ], "78": [ 78 ], "81": [ 81 ], "82": [ 82 ], "85": [ 85 ], "86": [ 86 ], "89": [ 89 ], "90": [ 90 ], "93": [ 93 ], "94": [ 94 ], "96": [ 96 ], "99": [ 99 ], "100": [ 100 ], "103": [ 103 ], "104": [ 104 ], "107": [ 107 ], "108": [ 108 ], "111": [ 111 ], "112": [ 112 ], "115": [ 115 ], "116": [ 116 ], "119": [ 119 ] } } ], "solvable": false, "affine": false } ] } }