{
  "version": 178,
  "provenance": {
    "source": "course-shared/labs/bellman-contraction.js",
    "sourceSha256": "c6be7c6bd91cface80172c3a03c1a3f428f07e9d16803d9c55e45e9d9dfce9ee",
    "method": "Complete deterministic Bellman recurrences; all four policies solved; exact rational independent verification required"
  },
  "records": [
    {
      "key": "switch",
      "data": {
        "version": 178,
        "parameters": {
          "gamma": 0.8,
          "steps": 40,
          "camp": 0,
          "mine": 0,
          "shift": 25,
          "epsilon": 0.1,
          "pattern": "bias",
          "tolerance": 0.05
        },
        "model": [
          [
            {
              "name": "采集",
              "r": 1,
              "p": [
                1,
                0
              ]
            },
            {
              "name": "远行",
              "r": -2,
              "p": [
                0,
                1
              ]
            }
          ],
          [
            {
              "name": "收获",
              "r": 4,
              "p": [
                0.4,
                0.6
              ]
            },
            {
              "name": "返回",
              "r": 2,
              "p": [
                1,
                0
              ]
            }
          ]
        ],
        "star": [
          8.181818181818185,
          12.727272727272732
        ],
        "initialError": 12.727272727272732,
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "matrix": [
              [
                0.19999999999999996,
                0
              ],
              [
                -0.32000000000000006,
                0.52
              ]
            ],
            "det": 0.10399999999999998,
            "value": [
              5.000000000000001,
              10.76923076923077
            ],
            "q": [
              [
                5.000000000000001,
                6.615384615384617
              ],
              [
                10.76923076923077,
                6.000000000000001
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              1.6153846153846159,
              0
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "matrix": [
              [
                0.19999999999999996,
                0
              ],
              [
                -0.8,
                1
              ]
            ],
            "det": 0.19999999999999996,
            "value": [
              5.000000000000001,
              6.000000000000001
            ],
            "q": [
              [
                5.000000000000001,
                2.8000000000000007
              ],
              [
                8.48,
                6.000000000000001
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              2.4799999999999995
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "matrix": [
              [
                1,
                -0.8
              ],
              [
                -0.32000000000000006,
                0.52
              ]
            ],
            "det": 0.26399999999999996,
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "q": [
              [
                7.545454545454547,
                8.181818181818183
              ],
              [
                12.727272727272728,
                8.545454545454547
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              0
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "matrix": [
              [
                1,
                -0.8
              ],
              [
                -0.8,
                1
              ]
            ],
            "det": 0.3599999999999999,
            "value": [
              -1.1111111111111112,
              1.1111111111111112
            ],
            "q": [
              [
                0.11111111111111105,
                -1.1111111111111112
              ],
              [
                4.177777777777778,
                1.1111111111111112
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              1.2222222222222223,
              3.066666666666667
            ]
          }
        ],
        "rows": [
          {
            "k": 0,
            "value": [
              0,
              0
            ],
            "q": [
              [
                1,
                -2
              ],
              [
                4,
                2
              ]
            ],
            "tv": [
              1,
              4
            ],
            "delta": [
              1,
              4
            ],
            "residual": 4,
            "minDelta": 1,
            "maxDelta": 4,
            "spanDelta": 3,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              5.000000000000001,
              10.76923076923077
            ],
            "policyLoss": 3.1818181818181843,
            "policyBound": 12.000000000000005,
            "error": 12.727272727272732,
            "geometricBound": 12.727272727272732,
            "residualBound": 20.000000000000004,
            "lower": [
              5.000000000000001,
              5.000000000000001
            ],
            "upper": [
              20.000000000000004,
              20.000000000000004
            ],
            "policyLower": [
              5.000000000000001,
              8
            ],
            "optimalUpper": [
              17.000000000000004,
              20.000000000000004
            ],
            "certifiedStop": false,
            "shifted": [
              25,
              25
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -4,
              -1
            ],
            "approximate": [
              0,
              0
            ],
            "approximateTV": [
              1,
              4
            ],
            "approximateDelta": [
              1,
              4
            ],
            "approximateResidual": 4,
            "approximateError": 12.727272727272732,
            "approximateBound": 12.727272727272732,
            "pathDistance": 0,
            "pathBound": 0,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 4.1
          },
          {
            "k": 1,
            "value": [
              1,
              4
            ],
            "q": [
              [
                1.8,
                1.2000000000000002
              ],
              [
                6.24,
                2.8
              ]
            ],
            "tv": [
              1.8,
              6.24
            ],
            "delta": [
              0.8,
              2.24
            ],
            "residual": 2.24,
            "minDelta": 0.8,
            "maxDelta": 2.24,
            "spanDelta": 1.4400000000000002,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              5.000000000000001,
              10.76923076923077
            ],
            "policyLoss": 3.1818181818181843,
            "policyBound": 5.760000000000002,
            "error": 8.727272727272732,
            "geometricBound": 10.181818181818187,
            "residualBound": 11.200000000000003,
            "lower": [
              5.000000000000001,
              8
            ],
            "upper": [
              12.200000000000003,
              15.200000000000003
            ],
            "policyLower": [
              5.000000000000002,
              9.440000000000001
            ],
            "optimalUpper": [
              10.760000000000003,
              15.200000000000003
            ],
            "certifiedStop": false,
            "shifted": [
              21,
              24
            ],
            "shiftDifference": [
              20,
              20
            ],
            "shiftExpected": 20,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -3.1999999999999993,
              -1.7600000000000016
            ],
            "approximate": [
              1.1,
              4.1
            ],
            "approximateTV": [
              1.8800000000000001,
              6.32
            ],
            "approximateDelta": [
              0.78,
              2.2200000000000006
            ],
            "approximateResidual": 2.2200000000000006,
            "approximateError": 8.627272727272732,
            "approximateBound": 10.281818181818187,
            "pathDistance": 0.10000000000000009,
            "pathBound": 0.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3200000000000003
          },
          {
            "k": 2,
            "value": [
              1.8,
              6.24
            ],
            "q": [
              [
                2.4400000000000004,
                2.992000000000001
              ],
              [
                7.571199999999999,
                3.4400000000000004
              ]
            ],
            "tv": [
              2.992000000000001,
              7.571199999999999
            ],
            "delta": [
              1.1920000000000008,
              1.331199999999999
            ],
            "residual": 1.331199999999999,
            "minDelta": 1.1920000000000008,
            "maxDelta": 1.331199999999999,
            "spanDelta": 0.13919999999999821,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.556799999999993,
            "error": 6.487272727272732,
            "geometricBound": 8.14545454545455,
            "residualBound": 6.655999999999997,
            "lower": [
              7.760000000000005,
              12.200000000000006
            ],
            "upper": [
              8.455999999999998,
              12.895999999999997
            ],
            "policyLower": [
              7.760000000000005,
              12.339200000000003
            ],
            "optimalUpper": [
              8.316799999999997,
              12.895999999999997
            ],
            "certifiedStop": false,
            "shifted": [
              17.8,
              22.24
            ],
            "shiftDifference": [
              16,
              15.999999999999998
            ],
            "shiftExpected": 16.000000000000004,
            "shiftDefect": [
              -3.552713678800501e-15,
              -5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -2.0080000000000027,
              -1.8688000000000002
            ],
            "approximate": [
              1.9800000000000002,
              6.42
            ],
            "approximateTV": [
              3.136,
              7.7152
            ],
            "approximateDelta": [
              1.156,
              1.2952000000000004
            ],
            "approximateResidual": 1.2952000000000004,
            "approximateError": 6.307272727272732,
            "approximateBound": 8.32545454545455,
            "pathDistance": 0.18000000000000016,
            "pathBound": 0.18,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3952
          },
          {
            "k": 3,
            "value": [
              2.992000000000001,
              7.571199999999999
            ],
            "q": [
              [
                3.3936000000000006,
                4.05696
              ],
              [
                8.591616,
                4.393600000000001
              ]
            ],
            "tv": [
              4.05696,
              8.591616
            ],
            "delta": [
              1.0649599999999992,
              1.0204160000000009
            ],
            "residual": 1.0649599999999992,
            "minDelta": 1.0204160000000009,
            "maxDelta": 1.0649599999999992,
            "spanDelta": 0.04454399999999836,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.1781759999999935,
            "error": 5.189818181818184,
            "geometricBound": 6.51636363636364,
            "residualBound": 5.324799999999997,
            "lower": [
              8.094080000000005,
              12.673280000000005
            ],
            "upper": [
              8.316799999999997,
              12.895999999999997
            ],
            "policyLower": [
              8.138624000000004,
              12.673280000000005
            ],
            "optimalUpper": [
              8.316799999999997,
              12.851455999999999
            ],
            "certifiedStop": false,
            "shifted": [
              15.791999999999998,
              20.371199999999998
            ],
            "shiftDifference": [
              12.799999999999997,
              12.799999999999999
            ],
            "shiftExpected": 12.800000000000002,
            "shiftDefect": [
              -5.329070518200751e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -1.4950399999999995,
              -1.5395839999999978
            ],
            "approximate": [
              3.236,
              7.8152
            ],
            "approximateTV": [
              4.25216,
              8.786816000000002
            ],
            "approximateDelta": [
              1.0161599999999997,
              0.9716160000000018
            ],
            "approximateResidual": 1.0161599999999997,
            "approximateError": 4.9458181818181846,
            "approximateBound": 6.76036363636364,
            "pathDistance": 0.24400000000000066,
            "pathBound": 0.244,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1161599999999994
          },
          {
            "k": 4,
            "value": [
              4.05696,
              8.591616
            ],
            "q": [
              [
                4.2455680000000005,
                4.873292800000001
              ],
              [
                9.42220288,
                5.2455680000000005
              ]
            ],
            "tv": [
              4.873292800000001,
              9.42220288
            ],
            "delta": [
              0.8163328000000005,
              0.8305868800000002
            ],
            "residual": 0.8305868800000002,
            "minDelta": 0.8163328000000005,
            "maxDelta": 0.8305868800000002,
            "spanDelta": 0.014254079999999725,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.05701631999999892,
            "error": 4.135656727272732,
            "geometricBound": 5.213090909090912,
            "residualBound": 4.152934400000002,
            "lower": [
              8.138624000000004,
              12.673280000000004
            ],
            "upper": [
              8.209894400000003,
              12.744550400000001
            ],
            "policyLower": [
              8.138624000000004,
              12.687534080000002
            ],
            "optimalUpper": [
              8.195640320000003,
              12.744550400000001
            ],
            "certifiedStop": false,
            "shifted": [
              14.296959999999999,
              18.831616
            ],
            "shiftDifference": [
              10.239999999999998,
              10.24
            ],
            "shiftExpected": 10.240000000000002,
            "shiftDefect": [
              -3.552713678800501e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -1.2316671999999969,
              -1.2174131199999998
            ],
            "approximate": [
              4.35216,
              8.886816000000001
            ],
            "approximateTV": [
              5.1094528000000015,
              9.658362880000002
            ],
            "approximateDelta": [
              0.7572928000000019,
              0.7715468800000007
            ],
            "approximateResidual": 0.7715468800000007,
            "approximateError": 3.8404567272727306,
            "approximateBound": 5.5082909090909125,
            "pathDistance": 0.29520000000000124,
            "pathBound": 0.2952000000000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8715468800000004
          },
          {
            "k": 5,
            "value": [
              4.873292800000001,
              9.42220288
            ],
            "q": [
              [
                4.898634240000001,
                5.537762304000001
              ],
              [
                10.0821110784,
                5.898634240000001
              ]
            ],
            "tv": [
              5.537762304000001,
              10.0821110784
            ],
            "delta": [
              0.6644695040000004,
              0.6599081984000001
            ],
            "residual": 0.6644695040000004,
            "minDelta": 0.6599081984000001,
            "maxDelta": 0.6644695040000004,
            "spanDelta": 0.004561305600000232,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.018245222400000934,
            "error": 3.3085253818181846,
            "geometricBound": 4.17047272727273,
            "residualBound": 3.3223475200000028,
            "lower": [
              8.172833792000002,
              12.721743872000001
            ],
            "upper": [
              8.195640320000003,
              12.744550400000003
            ],
            "policyLower": [
              8.177395097600002,
              12.721743872000001
            ],
            "optimalUpper": [
              8.195640320000003,
              12.739989094400002
            ],
            "certifiedStop": false,
            "shifted": [
              13.065292800000002,
              17.61420288
            ],
            "shiftDifference": [
              8.192,
              8.192
            ],
            "shiftExpected": 8.192000000000002,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.9739304960000013,
              -0.9784918016000006
            ],
            "approximate": [
              5.209452800000001,
              9.758362880000002
            ],
            "approximateTV": [
              5.806690304000002,
              10.351039078400001
            ],
            "approximateDelta": [
              0.5972375040000006,
              0.5926761983999995
            ],
            "approximateResidual": 0.5972375040000006,
            "approximateError": 2.972365381818184,
            "approximateBound": 4.506632727272731,
            "pathDistance": 0.33616000000000135,
            "pathBound": 0.33616,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6972375040000003
          },
          {
            "k": 6,
            "value": [
              5.537762304000001,
              10.0821110784
            ],
            "q": [
              [
                5.430209843200001,
                6.06568886272
              ],
              [
                10.611497254912003,
                6.430209843200001
              ]
            ],
            "tv": [
              6.06568886272,
              10.611497254912003
            ],
            "delta": [
              0.527926558719999,
              0.529386176512002
            ],
            "residual": 0.529386176512002,
            "minDelta": 0.527926558719999,
            "maxDelta": 0.529386176512002,
            "spanDelta": 0.0014596177920029874,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.005838471168011951,
            "error": 2.6451616488727314,
            "geometricBound": 3.3363781818181844,
            "residualBound": 2.6469308825600106,
            "lower": [
              8.177395097599996,
              12.721743871999996
            ],
            "upper": [
              8.184693186560011,
              12.72904196096001
            ],
            "policyLower": [
              8.177395097599998,
              12.723203489791999
            ],
            "optimalUpper": [
              8.183233568768008,
              12.72904196096001
            ],
            "certifiedStop": false,
            "shifted": [
              12.091362304,
              16.6357110784
            ],
            "shiftDifference": [
              6.553599999999999,
              6.553599999999999
            ],
            "shiftExpected": 6.553600000000002,
            "shiftDefect": [
              -2.6645352591003757e-15,
              -2.6645352591003757e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.7827934412799991,
              -0.7813338234879978
            ],
            "approximate": [
              5.906690304000001,
              10.451039078400001
            ],
            "approximateTV": [
              6.360831262720001,
              10.906639654912002
            ],
            "approximateDelta": [
              0.45414095872000004,
              0.45560057651200125
            ],
            "approximateResidual": 0.45560057651200125,
            "approximateError": 2.276233648872731,
            "approximateBound": 3.7053061818181843,
            "pathDistance": 0.36892800000000037,
            "pathBound": 0.36892800000000003,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5556005765120009
          },
          {
            "k": 7,
            "value": [
              6.06568886272,
              10.611497254912003
            ],
            "q": [
              [
                5.852551090176,
                6.489197803929603
              ],
              [
                11.03453911842816,
                6.852551090176
              ]
            ],
            "tv": [
              6.489197803929603,
              11.03453911842816
            ],
            "delta": [
              0.4235089412096027,
              0.4230418635161577
            ],
            "residual": 0.4235089412096027,
            "minDelta": 0.4230418635161577,
            "maxDelta": 0.4235089412096027,
            "spanDelta": 0.00046707769344500605,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.0018683107737800246,
            "error": 2.116129319098185,
            "geometricBound": 2.6691025454545474,
            "residualBound": 2.117544706048014,
            "lower": [
              8.180898180300789,
              12.726706572492791
            ],
            "upper": [
              8.183233568768014,
              12.729041960960016
            ],
            "policyLower": [
              8.181365257994234,
              12.726706572492791
            ],
            "optimalUpper": [
              8.183233568768014,
              12.728574883266571
            ],
            "certifiedStop": false,
            "shifted": [
              11.308568862720001,
              15.854377254912002
            ],
            "shiftDifference": [
              5.242880000000001,
              5.2428799999999995
            ],
            "shiftExpected": 5.242880000000002,
            "shiftDefect": [
              -8.881784197001252e-16,
              -2.6645352591003757e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.6250670587903997,
              -0.6255341364838394
            ],
            "approximate": [
              6.460831262720001,
              11.006639654912002
            ],
            "approximateTV": [
              6.805311723929602,
              11.35065303842816
            ],
            "approximateDelta": [
              0.3444804612096011,
              0.34401338351615784
            ],
            "approximateResidual": 0.3444804612096011,
            "approximateError": 1.7209869190981841,
            "approximateBound": 3.0642449454545475,
            "pathDistance": 0.395142400000001,
            "pathBound": 0.39514240000000006,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4444804612096007
          },
          {
            "k": 8,
            "value": [
              6.489197803929603,
              11.03453911842816
            ],
            "q": [
              [
                6.191358243143682,
                6.827631294742529
              ],
              [
                11.373122074102989,
                7.191358243143682
              ]
            ],
            "tv": [
              6.827631294742529,
              11.373122074102989
            ],
            "delta": [
              0.3384334908129265,
              0.33858295567482877
            ],
            "residual": 0.33858295567482877,
            "minDelta": 0.3384334908129265,
            "maxDelta": 0.33858295567482877,
            "spanDelta": 0.00014946486190225983,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.0005978594476090394,
            "error": 1.6927336088445717,
            "geometricBound": 2.1352820363636384,
            "residualBound": 1.6929147783741443,
            "lower": [
              8.181365257994235,
              12.726706572492793
            ],
            "upper": [
              8.182112582303747,
              12.727453896802304
            ],
            "policyLower": [
              8.181365257994235,
              12.726856037354695
            ],
            "optimalUpper": [
              8.181963117441844,
              12.727453896802304
            ],
            "certifiedStop": false,
            "shifted": [
              10.683501803929602,
              15.228843118428163
            ],
            "shiftDifference": [
              4.194303999999999,
              4.1943040000000025
            ],
            "shiftExpected": 4.1943040000000025,
            "shiftDefect": [
              -3.552713678800501e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.5004273091870708,
              -0.5002778443251721
            ],
            "approximate": [
              6.905311723929602,
              11.45065303842816
            ],
            "approximateTV": [
              7.160522430742528,
              11.70601321010299
            ],
            "approximateDelta": [
              0.25521070681292635,
              0.2553601716748304
            ],
            "approximateResidual": 0.2553601716748304,
            "approximateError": 1.2766196888445727,
            "approximateBound": 2.5513959563636384,
            "pathDistance": 0.416113919999999,
            "pathBound": 0.41611392000000014,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.35536017167483
          },
          {
            "k": 9,
            "value": [
              6.827631294742529,
              11.373122074102989
            ],
            "q": [
              [
                6.462105035794024,
                7.098497659282392
              ],
              [
                11.643940609887043,
                7.462105035794024
              ]
            ],
            "tv": [
              7.098497659282392,
              11.643940609887043
            ],
            "delta": [
              0.270866364539863,
              0.2708185357840538
            ],
            "residual": 0.270866364539863,
            "minDelta": 0.2708185357840538,
            "maxDelta": 0.270866364539863,
            "spanDelta": 4.7828755809220524e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.00019131502323688215,
            "error": 1.354186887075656,
            "geometricBound": 1.7082256290909106,
            "residualBound": 1.3543318226993153,
            "lower": [
              8.181723973662798,
              12.727214753023258
            ],
            "upper": [
              8.181963117441844,
              12.727453896802304
            ],
            "policyLower": [
              8.181771802418607,
              12.727214753023258
            ],
            "optimalUpper": [
              8.181963117441844,
              12.727406068046495
            ],
            "certifiedStop": false,
            "shifted": [
              10.183074494742531,
              14.72856527410299
            ],
            "shiftDifference": [
              3.3554432000000016,
              3.3554432000000016
            ],
            "shiftExpected": 3.3554432000000016,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.40022227546013767,
              -0.4002701042159451
            ],
            "approximate": [
              7.260522430742528,
              11.80601321010299
            ],
            "approximateTV": [
              7.444810568082392,
              11.990253518687044
            ],
            "approximateDelta": [
              0.18428813733986438,
              0.18424030858405516
            ],
            "approximateResidual": 0.18428813733986438,
            "approximateError": 0.9212957510756574,
            "approximateBound": 2.141116765090911,
            "pathDistance": 0.4328911360000003,
            "pathBound": 0.43289113600000007,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.284288137339864
          },
          {
            "k": 10,
            "value": [
              7.098497659282392,
              11.643940609887043
            ],
            "q": [
              [
                6.678798127425914,
                7.315152487909634
              ],
              [
                11.860610743716146,
                7.678798127425914
              ]
            ],
            "tv": [
              7.315152487909634,
              11.860610743716146
            ],
            "delta": [
              0.2166548286272416,
              0.21667013382910305
            ],
            "residual": 0.21667013382910305,
            "minDelta": 0.2166548286272416,
            "maxDelta": 0.21667013382910305,
            "spanDelta": 1.5305201861437467e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.122080744574988e-05,
            "error": 1.0833321173856891,
            "geometricBound": 1.3665805032727285,
            "residualBound": 1.0833506691455155,
            "lower": [
              8.1817718024186,
              12.727214753023251
            ],
            "upper": [
              8.181848328427908,
              12.727291279032558
            ],
            "policyLower": [
              8.1817718024186,
              12.727230058225112
            ],
            "optimalUpper": [
              8.181833023226046,
              12.727291279032558
            ],
            "certifiedStop": false,
            "shifted": [
              9.782852219282393,
              14.328295169887046
            ],
            "shiftDifference": [
              2.684354560000001,
              2.6843545600000027
            ],
            "shiftExpected": 2.6843545600000014,
            "shiftDefect": [
              -4.440892098500626e-16,
              1.3322676295501878e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.3202160833727561,
              -0.3202007781708964
            ],
            "approximate": [
              7.544810568082392,
              12.090253518687044
            ],
            "approximateTV": [
              7.672202814949635,
              12.217661070756147
            ],
            "approximateDelta": [
              0.12739224686724349,
              0.12740755206910315
            ],
            "approximateResidual": 0.12740755206910315,
            "approximateError": 0.6370192085856878,
            "approximateBound": 1.8128934120727287,
            "pathDistance": 0.4463129088000013,
            "pathBound": 0.4463129088000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2274075520691028
          },
          {
            "k": 11,
            "value": [
              7.315152487909634,
              11.860610743716146
            ],
            "q": [
              [
                6.852121990327707,
                7.488488594972917
              ],
              [
                12.033941953114832,
                7.852121990327707
              ]
            ],
            "tv": [
              7.488488594972917,
              12.033941953114832
            ],
            "delta": [
              0.1733361070632835,
              0.17333120939868607
            ],
            "residual": 0.1733361070632835,
            "minDelta": 0.17333120939868607,
            "maxDelta": 0.1733361070632835,
            "spanDelta": 4.897664597436346e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 1.959065838974539e-05,
            "error": 0.8666656939085513,
            "geometricBound": 1.0932644026181828,
            "residualBound": 0.8666805353164178,
            "lower": [
              8.181808534903064,
              12.727266790709576
            ],
            "upper": [
              8.181833023226051,
              12.727291279032563
            ],
            "policyLower": [
              8.181813432567662,
              12.727266790709576
            ],
            "optimalUpper": [
              8.181833023226051,
              12.727286381367966
            ],
            "certifiedStop": false,
            "shifted": [
              9.462636135909637,
              14.00809439171615
            ],
            "shiftDifference": [
              2.1474836480000032,
              2.1474836480000032
            ],
            "shiftExpected": 2.1474836480000015,
            "shiftDefect": [
              1.7763568394002505e-15,
              1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.2561606225367168,
              -0.25616552020131245
            ],
            "approximate": [
              7.772202814949635,
              12.317661070756147
            ],
            "approximateTV": [
              7.854128856604918,
              12.399582214746834
            ],
            "approximateDelta": [
              0.08192604165528294,
              0.08192114399068728
            ],
            "approximateResidual": 0.08192604165528294,
            "approximateError": 0.40961536686855027,
            "approximateBound": 1.550314729658183,
            "pathDistance": 0.45705032704000104,
            "pathBound": 0.4570503270400001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1819260416552826
          },
          {
            "k": 12,
            "value": [
              7.488488594972917,
              12.033941953114832
            ],
            "q": [
              [
                6.990790875978334,
                7.627153562491866
              ],
              [
                12.172608487886453,
                7.990790875978334
              ]
            ],
            "tv": [
              7.627153562491866,
              12.172608487886453
            ],
            "delta": [
              0.13866496751894886,
              0.13866653477162139
            ],
            "residual": 0.13866653477162139,
            "minDelta": 0.13866496751894886,
            "maxDelta": 0.13866653477162139,
            "spanDelta": 1.567252672529662e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.26901069011865e-06,
            "error": 0.6933307741579,
            "geometricBound": 0.8746115220945463,
            "residualBound": 0.693332673858107,
            "lower": [
              8.181813432567662,
              12.727266790709576
            ],
            "upper": [
              8.181821268831024,
              12.727274626972939
            ],
            "policyLower": [
              8.181813432567662,
              12.727268357962249
            ],
            "optimalUpper": [
              8.181819701578352,
              12.727274626972939
            ],
            "certifiedStop": false,
            "shifted": [
              9.20647551337292,
              13.751928871514837
            ],
            "shiftDifference": [
              1.717986918400003,
              1.7179869184000047
            ],
            "shiftExpected": 1.717986918400001,
            "shiftDefect": [
              1.9984014443252818e-15,
              3.774758283725532e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.20493241616104996,
              -0.2049308489083792
            ],
            "approximate": [
              7.9541288566049175,
              12.499582214746834
            ],
            "approximateTV": [
              7.999665771797467,
              12.545120697192054
            ],
            "approximateDelta": [
              0.04553691519254954,
              0.045538482445220296
            ],
            "approximateResidual": 0.045538482445220296,
            "approximateError": 0.22769051252589811,
            "approximateBound": 1.3402517837265464,
            "pathDistance": 0.4656402616320019,
            "pathBound": 0.4656402616320001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.14553848244521994
          },
          {
            "k": 13,
            "value": [
              7.627153562491866,
              12.172608487886453
            ],
            "q": [
              [
                7.101722849993493,
                7.738086790309163
              ],
              [
                12.283541214182895,
                8.101722849993493
              ]
            ],
            "tv": [
              7.738086790309163,
              12.283541214182895
            ],
            "delta": [
              0.11093322781729675,
              0.11093272629644169
            ],
            "residual": 0.11093322781729675,
            "minDelta": 0.11093272629644169,
            "maxDelta": 0.11093322781729675,
            "spanDelta": 5.015208550673833e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.006083420269534e-06,
            "error": 0.5546646193263189,
            "geometricBound": 0.6996892176756371,
            "residualBound": 0.5546661390864839,
            "lower": [
              8.181817193974075,
              12.727272119368662
            ],
            "upper": [
              8.18181970157835,
              12.727274626972937
            ],
            "policyLower": [
              8.18181769549493,
              12.727272119368662
            ],
            "optimalUpper": [
              8.18181970157835,
              12.727274125452082
            ],
            "certifiedStop": false,
            "shifted": [
              9.00154309721187,
              13.546998022606457
            ],
            "shiftDifference": [
              1.3743895347200041,
              1.3743895347200041
            ],
            "shiftExpected": 1.3743895347200008,
            "shiftDefect": [
              3.3306690738754696e-15,
              3.3306690738754696e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.16394467912670407,
              -0.16394518064755914
            ],
            "approximate": [
              8.099665771797467,
              12.645120697192054
            ],
            "approximateTV": [
              8.116096557753643,
              12.661550981627377
            ],
            "approximateDelta": [
              0.016430785956176308,
              0.016430284435323017
            ],
            "approximateResidual": 0.016430785956176308,
            "approximateError": 0.08215241002071849,
            "approximateBound": 1.1722014269812373,
            "pathDistance": 0.47251220930560045,
            "pathBound": 0.4725122093056001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.11643078595617595
          },
          {
            "k": 14,
            "value": [
              7.738086790309163,
              12.283541214182895
            ],
            "q": [
              [
                7.190469432247331,
                7.826832971346317
              ],
              [
                12.372287555706722,
                8.19046943224733
              ]
            ],
            "tv": [
              7.826832971346317,
              12.372287555706722
            ],
            "delta": [
              0.0887461810371537,
              0.08874634152382654
            ],
            "residual": 0.08874634152382654,
            "minDelta": 0.0887461810371537,
            "maxDelta": 0.08874634152382654,
            "spanDelta": 1.6048667283996565e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.419466913598627e-07,
            "error": 0.44373151308983694,
            "geometricBound": 0.5597513741405097,
            "residualBound": 0.44373170761913283,
            "lower": [
              8.181817695494932,
              12.727272119368664
            ],
            "upper": [
              8.181818497928296,
              12.727272921802028
            ],
            "policyLower": [
              8.181817695494932,
              12.727272279855336
            ],
            "optimalUpper": [
              8.181818337441623,
              12.727272921802028
            ],
            "certifiedStop": false,
            "shifted": [
              8.837598418085166,
              13.383052841958898
            ],
            "shiftDifference": [
              1.0995116277760033,
              1.0995116277760033
            ],
            "shiftExpected": 1.0995116277760009,
            "shiftDefect": [
              2.4424906541753444e-15,
              2.4424906541753444e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.13115614451804625,
              -0.1311559840313734
            ],
            "approximate": [
              8.216096557753643,
              12.761550981627376
            ],
            "approximateTV": [
              8.209240785301901,
              12.754695369662306
            ],
            "approximateDelta": [
              -0.006855772451741515,
              -0.006855611965070452
            ],
            "approximateResidual": 0.006855772451741515,
            "approximateError": 0.03427837593545746,
            "approximateBound": 1.0377611415849897,
            "pathDistance": 0.4780097674444814,
            "pathBound": 0.4780097674444801,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.09314438803492919
          },
          {
            "k": 15,
            "value": [
              7.826832971346317,
              12.372287555706722
            ],
            "q": [
              [
                7.261466377077054,
                7.897830044565378
              ],
              [
                12.443284577570047,
                8.261466377077053
              ]
            ],
            "tv": [
              7.897830044565378,
              12.443284577570047
            ],
            "delta": [
              0.07099707321906124,
              0.07099702186332557
            ],
            "residual": 0.07099707321906124,
            "minDelta": 0.07099702186332557,
            "maxDelta": 0.07099707321906124,
            "spanDelta": 5.1355735664060376e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.0542294265624158e-07,
            "error": 0.3549852104718685,
            "geometricBound": 0.4478010993124078,
            "residualBound": 0.35498536609530623,
            "lower": [
              8.181818080662945,
              12.72727266502335
            ],
            "upper": [
              8.181818337441623,
              12.727272921802028
            ],
            "policyLower": [
              8.18181813201868,
              12.72727266502335
            ],
            "optimalUpper": [
              8.181818337441623,
              12.727272870446292
            ],
            "certifiedStop": false,
            "shifted": [
              8.70644227356712,
              13.251896857927525
            ],
            "shiftDifference": [
              0.8796093022208034,
              0.8796093022208034
            ],
            "shiftExpected": 0.8796093022208008,
            "shiftDefect": [
              2.55351295663786e-15,
              2.55351295663786e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.10492478722509979,
              -0.10492483858083368
            ],
            "approximate": [
              8.3092407853019,
              12.854695369662306
            ],
            "approximateTV": [
              8.283756295729845,
              12.829210828734515
            ],
            "approximateDelta": [
              -0.02548448957205629,
              -0.025484540927790178
            ],
            "approximateResidual": 0.025484540927790178,
            "approximateError": 0.12742264238957368,
            "approximateBound": 0.9302089132679918,
            "pathDistance": 0.4824078139555841,
            "pathBound": 0.4824078139555841,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.07451551042794335
          },
          {
            "k": 16,
            "value": [
              7.897830044565378,
              12.443284577570047
            ],
            "q": [
              [
                7.3182640356523025,
                7.954627662056039
              ],
              [
                12.500082211494544,
                8.318264035652302
              ]
            ],
            "tv": [
              7.954627662056039,
              12.500082211494544
            ],
            "delta": [
              0.05679761749066081,
              0.05679763392449644
            ],
            "residual": 0.05679763392449644,
            "minDelta": 0.05679761749066081,
            "maxDelta": 0.05679763392449644,
            "spanDelta": 1.643383562566214e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.573534250264858e-08,
            "error": 0.2839881497026848,
            "geometricBound": 0.3582408794499263,
            "residualBound": 0.28398816962248224,
            "lower": [
              8.181818132018682,
              12.727272665023351
            ],
            "upper": [
              8.18181821418786,
              12.72727274719253
            ],
            "policyLower": [
              8.181818132018682,
              12.727272681457187
            ],
            "optimalUpper": [
              8.181818197754025,
              12.72727274719253
            ],
            "certifiedStop": false,
            "shifted": [
              8.60151748634202,
              13.146972019346691
            ],
            "shiftDifference": [
              0.7036874417766423,
              0.7036874417766441
            ],
            "shiftExpected": 0.7036874417766406,
            "shiftDefect": [
              1.7763568394002505e-15,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.08393987086466659,
              -0.08393985443083274
            ],
            "approximate": [
              8.383756295729844,
              12.929210828734515
            ],
            "approximateTV": [
              8.343368662987613,
              12.888823212426118
            ],
            "approximateDelta": [
              -0.040387632742231006,
              -0.040387616308397156
            ],
            "approximateResidual": 0.040387632742231006,
            "approximateError": 0.20193811391165895,
            "approximateBound": 0.8441671306143936,
            "pathDistance": 0.48592625116446797,
            "pathBound": 0.4859262511644673,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.05961238369160249
          },
          {
            "k": 17,
            "value": [
              7.954627662056039,
              12.500082211494544
            ],
            "q": [
              [
                7.363702129644832,
                8.000065769195636
              ],
              [
                12.545520313375313,
                8.363702129644832
              ]
            ],
            "tv": [
              8.000065769195636,
              12.545520313375313
            ],
            "delta": [
              0.045438107139597506,
              0.045438101880769466
            ],
            "residual": 0.045438107139597506,
            "minDelta": 0.045438101880769466,
            "maxDelta": 0.045438107139597506,
            "spanDelta": 5.258828039700347e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.1035312158801396e-08,
            "error": 0.22719051976214644,
            "geometricBound": 0.28659270355994104,
            "residualBound": 0.22719053569798758,
            "lower": [
              8.181818171459886,
              12.727272720898391
            ],
            "upper": [
              8.181818197754026,
              12.727272747192531
            ],
            "policyLower": [
              8.181818176718714,
              12.727272720898391
            ],
            "optimalUpper": [
              8.181818197754026,
              12.727272741933703
            ],
            "certifiedStop": false,
            "shifted": [
              8.517577615477354,
              13.063032164915859
            ],
            "shiftDifference": [
              0.5629499534213149,
              0.5629499534213149
            ],
            "shiftExpected": 0.5629499534213126,
            "shiftDefect": [
              2.3314683517128287e-15,
              2.3314683517128287e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.06715188354466584,
              -0.06715188880349388
            ],
            "approximate": [
              8.443368662987613,
              12.988823212426118
            ],
            "approximateTV": [
              8.391058569940895,
              12.936513114120572
            ],
            "approximateDelta": [
              -0.0523100930467173,
              -0.05231009830554534
            ],
            "approximateResidual": 0.05231009830554534,
            "approximateError": 0.26155048515338564,
            "approximateBound": 0.775333704491515,
            "pathDistance": 0.488741000931574,
            "pathBound": 0.48874100093157385,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.047689906953282346
          },
          {
            "k": 18,
            "value": [
              8.000065769195636,
              12.545520313375313
            ],
            "q": [
              [
                7.400052615356509,
                8.03641625070025
              ],
              [
                12.581870796562754,
                8.40005261535651
              ]
            ],
            "tv": [
              8.03641625070025,
              12.581870796562754
            ],
            "delta": [
              0.03635048150461451,
              0.03635048318744083
            ],
            "residual": 0.03635048318744083,
            "minDelta": 0.03635048150461451,
            "maxDelta": 0.03635048318744083,
            "spanDelta": 1.682826322735309e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.731305290941239e-09,
            "error": 0.18175241389741892,
            "geometricBound": 0.22927416284795285,
            "residualBound": 0.18175241593720418,
            "lower": [
              8.181818176718709,
              12.727272720898386
            ],
            "upper": [
              8.18181818513284,
              12.727272729312517
            ],
            "policyLower": [
              8.181818176718709,
              12.727272722581212
            ],
            "optimalUpper": [
              8.181818183450014,
              12.727272729312517
            ],
            "certifiedStop": false,
            "shifted": [
              8.450425731932688,
              12.995880276112365
            ],
            "shiftDifference": [
              0.4503599627370516,
              0.4503599627370516
            ],
            "shiftExpected": 0.4503599627370501,
            "shiftDefect": [
              1.4988010832439613e-15,
              1.4988010832439613e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0537215110427951,
              -0.05372150935996878
            ],
            "approximate": [
              8.491058569940895,
              13.036513114120572
            ],
            "approximateTV": [
              8.429210491296459,
              12.974665037158962
            ],
            "approximateDelta": [
              -0.0618480786444362,
              -0.06184807696160988
            ],
            "approximateResidual": 0.0618480786444362,
            "approximateError": 0.30924038812270993,
            "approximateBound": 0.720266963593212,
            "pathDistance": 0.49099280074525886,
            "pathBound": 0.4909928007452591,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.03815192303838977
          },
          {
            "k": 19,
            "value": [
              8.03641625070025,
              12.581870796562754
            ],
            "q": [
              [
                7.429133000560201,
                8.065496637250204
              ],
              [
                12.610951182574203,
                8.429133000560201
              ]
            ],
            "tv": [
              8.065496637250204,
              12.610951182574203
            ],
            "delta": [
              0.029080386549953374,
              0.029080386011449022
            ],
            "residual": 0.029080386549953374,
            "minDelta": 0.029080386011449022,
            "maxDelta": 0.029080386549953374,
            "spanDelta": 5.385043522210253e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.154017408884102e-09,
            "error": 0.14540193111793442,
            "geometricBound": 0.18341933027836227,
            "residualBound": 0.1454019327497669,
            "lower": [
              8.181818180757496,
              12.727272726619999
            ],
            "upper": [
              8.181818183450018,
              12.72727272931252
            ],
            "policyLower": [
              8.181818181296,
              12.727272726619999
            ],
            "optimalUpper": [
              8.181818183450018,
              12.727272728774016
            ],
            "certifiedStop": false,
            "shifted": [
              8.396704220889893,
              12.942158766752396
            ],
            "shiftDifference": [
              0.360287970189642,
              0.360287970189642
            ],
            "shiftExpected": 0.36028797018964004,
            "shiftDefect": [
              1.942890293094024e-15,
              1.942890293094024e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.04297720748797573,
              -0.042977208026480085
            ],
            "approximate": [
              8.529210491296459,
              13.074665037158962
            ],
            "approximateTV": [
              8.45973202972717,
              13.005186575051168
            ],
            "approximateDelta": [
              -0.06947846156928783,
              -0.06947846210779396
            ],
            "approximateResidual": 0.06947846210779396,
            "approximateError": 0.3473923098862297,
            "approximateBound": 0.6762135708745696,
            "pathDistance": 0.4927942405962078,
            "pathBound": 0.4927942405962073,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.030521538430711814
          },
          {
            "k": 20,
            "value": [
              8.065496637250204,
              12.610951182574203
            ],
            "q": [
              [
                7.452397309800164,
                8.088760946059363
              ],
              [
                12.634215491555683,
                8.452397309800164
              ]
            ],
            "tv": [
              8.088760946059363,
              12.634215491555683
            ],
            "delta": [
              0.023264308809158862,
              0.023264308981479687
            ],
            "residual": 0.023264308981479687,
            "minDelta": 0.023264308809158862,
            "maxDelta": 0.023264308981479687,
            "spanDelta": 1.723208242765395e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.892832971061582e-10,
            "error": 0.11632154469852907,
            "geometricBound": 0.14673546422268985,
            "residualBound": 0.11632154490739846,
            "lower": [
              8.181818181295998,
              12.727272726619997
            ],
            "upper": [
              8.181818182157603,
              12.727272727481601
            ],
            "policyLower": [
              8.181818181295998,
              12.727272726792318
            ],
            "optimalUpper": [
              8.181818181985282,
              12.727272727481601
            ],
            "certifiedStop": false,
            "shifted": [
              8.353727013401917,
              12.899181558725916
            ],
            "shiftDifference": [
              0.2882303761517129,
              0.2882303761517129
            ],
            "shiftExpected": 0.2882303761517121,
            "shiftDefect": [
              7.771561172376096e-16,
              7.771561172376096e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.03438176642118407,
              -0.034381766248863244
            ],
            "approximate": [
              8.55973202972717,
              13.105186575051167
            ],
            "approximateTV": [
              8.484149260040935,
              13.029603805537255
            ],
            "approximateDelta": [
              -0.07558276968623545,
              -0.07558276951391285
            ],
            "approximateResidual": 0.07558276968623545,
            "approximateError": 0.3779138479089852,
            "approximateBound": 0.6409708566996557,
            "pathDistance": 0.49423539247696624,
            "pathBound": 0.4942353924769659,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.024417230486086794
          },
          {
            "k": 21,
            "value": [
              8.088760946059363,
              12.634215491555683
            ],
            "q": [
              [
                7.471008756847491,
                8.107372393244546
              ],
              [
                12.652826938685724,
                8.47100875684749
              ]
            ],
            "tv": [
              8.107372393244546,
              12.652826938685724
            ],
            "delta": [
              0.01861144718518304,
              0.01861144713004137
            ],
            "residual": 0.01861144718518304,
            "minDelta": 0.01861144713004137,
            "maxDelta": 0.01861144718518304,
            "spanDelta": 5.5141669008662575e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.2056667603465038e-10,
            "error": 0.09305723575882219,
            "geometricBound": 0.11738837137815188,
            "residualBound": 0.09305723592591521,
            "lower": [
              8.18181818170957,
              12.72727272720589
            ],
            "upper": [
              8.181818181985278,
              12.727272727481598
            ],
            "policyLower": [
              8.181818181764712,
              12.72727272720589
            ],
            "optimalUpper": [
              8.181818181985278,
              12.727272727426456
            ],
            "certifiedStop": false,
            "shifted": [
              8.319345246980733,
              12.864799792477053
            ],
            "shiftDifference": [
              0.23058430092136994,
              0.23058430092136994
            ],
            "shiftExpected": 0.23058430092136967,
            "shiftDefect": [
              2.7755575615628914e-16,
              2.7755575615628914e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.027505412999090595,
              -0.027505413054232264
            ],
            "approximate": [
              8.584149260040935,
              13.129603805537254
            ],
            "approximateTV": [
              8.503683044429804,
              13.04913758987098
            ],
            "approximateDelta": [
              -0.08046621561113021,
              -0.08046621566627365
            ],
            "approximateResidual": 0.08046621566627365,
            "approximateError": 0.4023310782645222,
            "approximateBound": 0.6127766853597246,
            "pathDistance": 0.49538831398157157,
            "pathBound": 0.49538831398157274,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.019533784388869435
          },
          {
            "k": 22,
            "value": [
              8.107372393244546,
              12.652826938685724
            ],
            "q": [
              [
                7.485897914595637,
                8.12226155094858
              ],
              [
                12.667716096407402,
                8.485897914595636
              ]
            ],
            "tv": [
              8.12226155094858,
              12.667716096407402
            ],
            "delta": [
              0.014889157704033096,
              0.014889157721677648
            ],
            "residual": 0.014889157721677648,
            "minDelta": 0.014889157704033096,
            "maxDelta": 0.014889157721677648,
            "spanDelta": 1.7644552485762688e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.057820994305078e-11,
            "error": 0.07444578858700801,
            "geometricBound": 0.0939106971025215,
            "residualBound": 0.07444578860838826,
            "lower": [
              8.181818181764712,
              12.72727272720589
            ],
            "upper": [
              8.181818181852934,
              12.727272727294112
            ],
            "policyLower": [
              8.181818181764712,
              12.727272727223534
            ],
            "optimalUpper": [
              8.18181818183529,
              12.727272727294112
            ],
            "certifiedStop": false,
            "shifted": [
              8.291839833981642,
              12.83729437942282
            ],
            "shiftDifference": [
              0.1844674407370963,
              0.1844674407370963
            ],
            "shiftExpected": 0.18446744073709576,
            "shiftDefect": [
              5.551115123125783e-16,
              5.551115123125783e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.022004330443385456,
              -0.022004330425740903
            ],
            "approximate": [
              8.603683044429804,
              13.14913758987098
            ],
            "approximateTV": [
              8.519310071896784,
              13.064764617355607
            ],
            "approximateDelta": [
              -0.08437297253301956,
              -0.08437297251537323
            ],
            "approximateResidual": 0.08437297253301956,
            "approximateError": 0.4218648626116188,
            "approximateBound": 0.5902213482877797,
            "pathDistance": 0.49631065118525797,
            "pathBound": 0.4963106511852582,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.01562702748462641
          },
          {
            "k": 23,
            "value": [
              8.12226155094858,
              12.667716096407402
            ],
            "q": [
              [
                7.497809240758864,
                8.134172877125922
              ],
              [
                12.679627422579099,
                8.497809240758864
              ]
            ],
            "tv": [
              8.134172877125922,
              12.679627422579099
            ],
            "delta": [
              0.011911326177342474,
              0.011911326171697212
            ],
            "residual": 0.011911326177342474,
            "minDelta": 0.011911326171697212,
            "maxDelta": 0.011911326177342474,
            "spanDelta": 5.645262035613996e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.258104814245599e-11,
            "error": 0.05955663086960605,
            "geometricBound": 0.0751285576820172,
            "residualBound": 0.05955663088671238,
            "lower": [
              8.181818181807065,
              12.727272727265888
            ],
            "upper": [
              8.181818181835292,
              12.727272727294114
            ],
            "policyLower": [
              8.18181818181271,
              12.727272727265888
            ],
            "optimalUpper": [
              8.181818181835292,
              12.727272727288469
            ],
            "certifiedStop": false,
            "shifted": [
              8.269835503538257,
              12.81529004899708
            ],
            "shiftDifference": [
              0.14757395258967776,
              0.14757395258967776
            ],
            "shiftExpected": 0.1475739525896766,
            "shiftDefect": [
              1.1657341758564144e-15,
              1.1657341758564144e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.017603464340592012,
              -0.01760346434623905
            ],
            "approximate": [
              8.619310071896784,
              13.164764617355607
            ],
            "approximateTV": [
              8.531811693884485,
              13.077266239337662
            ],
            "approximateDelta": [
              -0.08749837801229887,
              -0.08749837801794413
            ],
            "approximateResidual": 0.08749837801794413,
            "approximateError": 0.4374918900828746,
            "approximateBound": 0.5721770786302238,
            "pathDistance": 0.49704852094820495,
            "pathBound": 0.49704852094820656,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.012501621987700773
          },
          {
            "k": 24,
            "value": [
              8.134172877125922,
              12.679627422579099
            ],
            "q": [
              [
                7.507338301700738,
                8.14370193806328
              ],
              [
                12.689156483518262,
                8.507338301700738
              ]
            ],
            "tv": [
              8.14370193806328,
              12.689156483518262
            ],
            "delta": [
              0.009529060937358835,
              0.009529060939163614
            ],
            "residual": 0.009529060939163614,
            "minDelta": 0.009529060937358835,
            "maxDelta": 0.009529060939163614,
            "spanDelta": 1.8047785488306545e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.21911419532262e-12,
            "error": 0.04764530469363315,
            "geometricBound": 0.06010284614561377,
            "residualBound": 0.04764530469581808,
            "lower": [
              8.181818181812716,
              12.727272727265893
            ],
            "upper": [
              8.18181818182174,
              12.727272727274917
            ],
            "policyLower": [
              8.181818181812716,
              12.727272727267698
            ],
            "optimalUpper": [
              8.181818181819935,
              12.727272727274917
            ],
            "certifiedStop": true,
            "shifted": [
              8.252232039197665,
              12.79768658465084
            ],
            "shiftDifference": [
              0.11805916207174327,
              0.1180591620717415
            ],
            "shiftExpected": 0.11805916207174129,
            "shiftDefect": [
              1.9845236565174673e-15,
              2.0816681711721685e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.014082771476992662,
              -0.014082771475182554
            ],
            "approximate": [
              8.631811693884485,
              13.177266239337662
            ],
            "approximateTV": [
              8.541812991470131,
              13.087267536925113
            ],
            "approximateDelta": [
              -0.08999870241435382,
              -0.08999870241254904
            ],
            "approximateResidual": 0.08999870241435382,
            "approximateError": 0.4499935120662997,
            "approximateBound": 0.557741662904179,
            "pathDistance": 0.49763881675856325,
            "pathBound": 0.4976388167585653,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.010001297587450608
          },
          {
            "k": 25,
            "value": [
              8.14370193806328,
              12.689156483518262
            ],
            "q": [
              [
                7.514961550450625,
                8.15132518681461
              ],
              [
                12.696779732269016,
                8.514961550450625
              ]
            ],
            "tv": [
              8.15132518681461,
              12.696779732269016
            ],
            "delta": [
              0.00762324875132947,
              0.00762324875075393
            ],
            "residual": 0.00762324875132947,
            "minDelta": 0.00762324875075393,
            "maxDelta": 0.00762324875132947,
            "spanDelta": 5.755396159656812e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.302158463862725e-12,
            "error": 0.038116243754904744,
            "geometricBound": 0.04808227691649102,
            "residualBound": 0.03811624375664736,
            "lower": [
              8.18181818181705,
              12.727272727272032
            ],
            "upper": [
              8.181818181819928,
              12.72727272727491
            ],
            "policyLower": [
              8.181818181817626,
              12.727272727272032
            ],
            "optimalUpper": [
              8.181818181819928,
              12.727272727274334
            ],
            "certifiedStop": true,
            "shifted": [
              8.238149267720672,
              12.783603813175658
            ],
            "shiftDifference": [
              0.09444732965739178,
              0.09444732965739533
            ],
            "shiftExpected": 0.09444732965739304,
            "shiftDefect": [
              -1.2628786905111156e-15,
              2.2898349882893854e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.011266217180144977,
              -0.011266217180725846
            ],
            "approximate": [
              8.64181299147013,
              13.187267536925113
            ],
            "approximateTV": [
              8.54981402954009,
              13.095268574994497
            ],
            "approximateDelta": [
              -0.09199896193003987,
              -0.09199896193061541
            ],
            "approximateResidual": 0.09199896193061541,
            "approximateError": 0.4599948096523807,
            "approximateBound": 0.5461933303233433,
            "pathDistance": 0.49811105340685025,
            "pathBound": 0.49811105340685224,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.008001038069959776
          },
          {
            "k": 26,
            "value": [
              8.15132518681461,
              12.696779732269016
            ],
            "q": [
              [
                7.521060149451689,
                8.157423785815213
              ],
              [
                12.702878331269805,
                8.521060149451689
              ]
            ],
            "tv": [
              8.157423785815213,
              12.702878331269805
            ],
            "delta": [
              0.0060985990006035,
              0.006098599000788241
            ],
            "residual": 0.006098599000788241,
            "minDelta": 0.0060985990006035,
            "maxDelta": 0.006098599000788241,
            "spanDelta": 1.8474111129762605e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.389644451905044e-13,
            "error": 0.030492995003715606,
            "geometricBound": 0.03846582153319282,
            "residualBound": 0.03049299500394121,
            "lower": [
              8.181818181817627,
              12.727272727272034
            ],
            "upper": [
              8.181818181818551,
              12.727272727272958
            ],
            "policyLower": [
              8.181818181817627,
              12.727272727272219
            ],
            "optimalUpper": [
              8.181818181818366,
              12.727272727272958
            ],
            "certifiedStop": true,
            "shifted": [
              8.226883050540527,
              12.772337595994932
            ],
            "shiftDifference": [
              0.07555786372591733,
              0.07555786372591555
            ],
            "shiftExpected": 0.07555786372591443,
            "shiftDefect": [
              2.9004576518332215e-15,
              1.124100812432971e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.009012973744580322,
              -0.00901297374439558
            ],
            "approximate": [
              8.64981402954009,
              13.195268574994497
            ],
            "approximateTV": [
              8.556214859995599,
              13.101669405450187
            ],
            "approximateDelta": [
              -0.09359916954449155,
              -0.09359916954431036
            ],
            "approximateResidual": 0.09359916954449155,
            "approximateError": 0.4679958477219053,
            "approximateBound": 0.5369546642586747,
            "pathDistance": 0.49848884272548055,
            "pathBound": 0.49848884272548183,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.006400830455689288
          },
          {
            "k": 27,
            "value": [
              8.157423785815213,
              12.702878331269805
            ],
            "q": [
              [
                7.5259390286521715,
                8.162302665015844
              ],
              [
                12.707757210470374,
                8.525939028652171
              ]
            ],
            "tv": [
              8.162302665015844,
              12.707757210470374
            ],
            "delta": [
              0.004878879200630237,
              0.004878879200569841
            ],
            "residual": 0.004878879200630237,
            "minDelta": 0.004878879200569841,
            "maxDelta": 0.004878879200630237,
            "spanDelta": 6.039613253960852e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.4158453015843416e-13,
            "error": 0.024394396002971774,
            "geometricBound": 0.030772657226554253,
            "residualBound": 0.024394396003151193,
            "lower": [
              8.181818181818063,
              12.727272727272654
            ],
            "upper": [
              8.181818181818365,
              12.727272727272956
            ],
            "policyLower": [
              8.181818181818123,
              12.727272727272654
            ],
            "optimalUpper": [
              8.181818181818365,
              12.727272727272895
            ],
            "certifiedStop": true,
            "shifted": [
              8.217870076795947,
              12.763324622250536
            ],
            "shiftDifference": [
              0.06044629098073351,
              0.06044629098073173
            ],
            "shiftExpected": 0.06044629098073155,
            "shiftDefect": [
              1.9567680809018384e-15,
              1.8041124150158794e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.007210378995516464,
              -0.007210378995575084
            ],
            "approximate": [
              8.656214859995599,
              13.201669405450186
            ],
            "approximateTV": [
              8.56133552436015,
              13.106790069814682
            ],
            "approximateDelta": [
              -0.09487933563544892,
              -0.09487933563550399
            ],
            "approximateResidual": 0.09487933563550399,
            "approximateError": 0.47439667817745423,
            "approximateBound": 0.5295637314069398,
            "pathDistance": 0.49879107418038515,
            "pathBound": 0.49879107418038554,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.00512066436455072
          },
          {
            "k": 28,
            "value": [
              8.162302665015844,
              12.707757210470374
            ],
            "q": [
              [
                7.529842132012675,
                8.166205768376301
              ],
              [
                12.71166031383085,
                8.529842132012675
              ]
            ],
            "tv": [
              8.166205768376301,
              12.71166031383085
            ],
            "delta": [
              0.003903103360457294,
              0.0039031033604750576
            ],
            "residual": 0.0039031033604750576,
            "minDelta": 0.003903103360457294,
            "maxDelta": 0.0039031033604750576,
            "spanDelta": 1.7763568394002505e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.105427357601003e-14,
            "error": 0.019515516802357524,
            "geometricBound": 0.024618125781243404,
            "residualBound": 0.01951551680237529,
            "lower": [
              8.18181818181813,
              12.727272727272661
            ],
            "upper": [
              8.181818181818219,
              12.72727272727275
            ],
            "policyLower": [
              8.18181818181813,
              12.727272727272679
            ],
            "optimalUpper": [
              8.181818181818201,
              12.72727272727275
            ],
            "certifiedStop": true,
            "shifted": [
              8.21065969780043,
              12.756114243254961
            ],
            "shiftDifference": [
              0.048357032784586806,
              0.048357032784586806
            ],
            "shiftExpected": 0.04835703278458524,
            "shiftDefect": [
              1.5681900222830336e-15,
              1.5681900222830336e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.005768303196461488,
              -0.005768303196440172
            ],
            "approximate": [
              8.66133552436015,
              13.206790069814682
            ],
            "approximateTV": [
              8.565432055851746,
              13.110886601306296
            ],
            "approximateDelta": [
              -0.09590346850840348,
              -0.09590346850838571
            ],
            "approximateResidual": 0.09590346850840348,
            "approximateError": 0.4795173425419641,
            "approximateBound": 0.5236509851255519,
            "pathDistance": 0.4990328593443074,
            "pathBound": 0.4990328593443084,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.004096531491613931
          },
          {
            "k": 29,
            "value": [
              8.166205768376301,
              12.71166031383085
            ],
            "q": [
              [
                7.532964614701041,
                8.16932825106468
              ],
              [
                12.714782796519223,
                8.53296461470104
              ]
            ],
            "tv": [
              8.16932825106468,
              12.714782796519223
            ],
            "delta": [
              0.0031224826883793355,
              0.0031224826883740064
            ],
            "residual": 0.0031224826883793355,
            "minDelta": 0.0031224826883740064,
            "maxDelta": 0.0031224826883793355,
            "spanDelta": 5.329070518200751e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.1316282072803015e-14,
            "error": 0.015612413441884243,
            "geometricBound": 0.019694500624994726,
            "residualBound": 0.015612413441896681,
            "lower": [
              8.181818181818171,
              12.72727272727272
            ],
            "upper": [
              8.181818181818198,
              12.727272727272746
            ],
            "policyLower": [
              8.181818181818176,
              12.72727272727272
            ],
            "optimalUpper": [
              8.181818181818198,
              12.72727272727274
            ],
            "certifiedStop": true,
            "shifted": [
              8.204891394603969,
              12.750345940058521
            ],
            "shiftDifference": [
              0.038685626227668024,
              0.03868562622767158
            ],
            "shiftExpected": 0.0386856262276682,
            "shiftDefect": [
              -1.734723475976807e-16,
              3.3792413312028202e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.004614642557150717,
              -0.004614642557161375
            ],
            "approximate": [
              8.665432055851745,
              13.210886601306296
            ],
            "approximateTV": [
              8.568709281045038,
              13.114163826499581
            ],
            "approximateDelta": [
              -0.09672277480670743,
              -0.09672277480671454
            ],
            "approximateResidual": 0.09672277480671454,
            "approximateError": 0.4836138740335638,
            "approximateBound": 0.5189207881004414,
            "pathDistance": 0.4992262874754463,
            "pathBound": 0.49922628747544673,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0032772251932922103
          },
          {
            "k": 30,
            "value": [
              8.16932825106468,
              12.714782796519223
            ],
            "q": [
              [
                7.535462600851744,
                8.17182623721538
              ],
              [
                12.717280782669926,
                8.535462600851744
              ]
            ],
            "tv": [
              8.17182623721538,
              12.717280782669926
            ],
            "delta": [
              0.00249798615069885,
              0.0024979861507024026
            ],
            "residual": 0.0024979861507024026,
            "minDelta": 0.00249798615069885,
            "maxDelta": 0.0024979861507024026,
            "spanDelta": 3.552713678800501e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 1.4210854715202007e-14,
            "error": 0.01248993075350846,
            "geometricBound": 0.015755600499995782,
            "residualBound": 0.012489930753512016,
            "lower": [
              8.181818181818175,
              12.727272727272718
            ],
            "upper": [
              8.181818181818192,
              12.727272727272736
            ],
            "policyLower": [
              8.181818181818175,
              12.727272727272721
            ],
            "optimalUpper": [
              8.181818181818189,
              12.727272727272736
            ],
            "certifiedStop": true,
            "shifted": [
              8.200276752046818,
              12.74573129750136
            ],
            "shiftDifference": [
              0.030948500982137972,
              0.030948500982136196
            ],
            "shiftExpected": 0.030948500982134558,
            "shiftDefect": [
              3.4139358007223564e-15,
              1.6375789613221059e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0036917140457290998,
              -0.003691714045725547
            ],
            "approximate": [
              8.668709281045038,
              13.21416382649958
            ],
            "approximateTV": [
              8.571331061199665,
              13.116785606654211
            ],
            "approximateDelta": [
              -0.09737821984537298,
              -0.09737821984536943
            ],
            "approximateResidual": 0.09737821984537298,
            "approximateError": 0.4868910992268525,
            "approximateBound": 0.5151366304803533,
            "pathDistance": 0.4993810299803574,
            "pathBound": 0.4993810299803575,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0026217801546302155
          },
          {
            "k": 31,
            "value": [
              8.17182623721538,
              12.717280782669926
            ],
            "q": [
              [
                7.5374609897723035,
                8.173824626135941
              ],
              [
                12.719279171590486,
                8.537460989772303
              ]
            ],
            "tv": [
              8.173824626135941,
              12.719279171590486
            ],
            "delta": [
              0.001998388920561922,
              0.0019983889205601457
            ],
            "residual": 0.001998388920561922,
            "minDelta": 0.0019983889205601457,
            "maxDelta": 0.001998388920561922,
            "spanDelta": 1.7763568394002505e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.105427357601003e-15,
            "error": 0.009991944602806058,
            "geometricBound": 0.012604480399996624,
            "residualBound": 0.009991944602809612,
            "lower": [
              8.18181818181818,
              12.727272727272727
            ],
            "upper": [
              8.181818181818189,
              12.727272727272736
            ],
            "policyLower": [
              8.181818181818182,
              12.727272727272727
            ],
            "optimalUpper": [
              8.181818181818189,
              12.727272727272734
            ],
            "certifiedStop": true,
            "shifted": [
              8.19658503800109,
              12.742039583455634
            ],
            "shiftDifference": [
              0.024758800785710022,
              0.024758800785708246
            ],
            "shiftExpected": 0.024758800785707646,
            "shiftDefect": [
              2.3765711620882257e-15,
              6.002143226879753e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.002953371236580793,
              -0.002953371236580793
            ],
            "approximate": [
              8.671331061199664,
              13.216785606654211
            ],
            "approximateTV": [
              8.573428485323369,
              13.118883030777914
            ],
            "approximateDelta": [
              -0.09790257587629547,
              -0.09790257587629725
            ],
            "approximateResidual": 0.09790257587629725,
            "approximateError": 0.48951287938147914,
            "approximateBound": 0.5121093043842827,
            "pathDistance": 0.4995048239842852,
            "pathBound": 0.49950482398428603,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0020974241237041724
          },
          {
            "k": 32,
            "value": [
              8.173824626135941,
              12.719279171590486
            ],
            "q": [
              [
                7.539059700908753,
                8.17542333727239
              ],
              [
                12.720877882726935,
                8.539059700908753
              ]
            ],
            "tv": [
              8.17542333727239,
              12.720877882726935
            ],
            "delta": [
              0.0015987111364488271,
              0.0015987111364488271
            ],
            "residual": 0.0015987111364488271,
            "minDelta": 0.0015987111364488271,
            "maxDelta": 0.0015987111364488271,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.007993555682245912,
            "geometricBound": 0.0100835843199973,
            "residualBound": 0.007993555682244137,
            "lower": [
              8.181818181818185,
              12.72727272727273
            ],
            "upper": [
              8.181818181818185,
              12.72727272727273
            ],
            "policyLower": [
              8.181818181818185,
              12.72727272727273
            ],
            "optimalUpper": [
              8.181818181818185,
              12.72727272727273
            ],
            "certifiedStop": true,
            "shifted": [
              8.193631666764508,
              12.739086212219053
            ],
            "shiftDifference": [
              0.019807040628567307,
              0.019807040628567307
            ],
            "shiftExpected": 0.01980704062856612,
            "shiftDefect": [
              1.186550857568136e-15,
              1.186550857568136e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.002362696989264279,
              -0.002362696989264279
            ],
            "approximate": [
              8.673428485323369,
              13.218883030777913
            ],
            "approximateTV": [
              8.575106424622332,
              13.120560970076877
            ],
            "approximateDelta": [
              -0.09832206070103666,
              -0.09832206070103666
            ],
            "approximateResidual": 0.09832206070103666,
            "approximateError": 0.4916103035051833,
            "approximateBound": 0.5096874435074261,
            "pathDistance": 0.49960385918742745,
            "pathBound": 0.4996038591874288,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0016779392989629827
          },
          {
            "k": 33,
            "value": [
              8.17542333727239,
              12.720877882726935
            ],
            "q": [
              [
                7.5403386698179125,
                8.176702306181548
              ],
              [
                12.722156851636093,
                8.540338669817913
              ]
            ],
            "tv": [
              8.176702306181548,
              12.722156851636093
            ],
            "delta": [
              0.0012789689091583512,
              0.0012789689091583512
            ],
            "residual": 0.0012789689091583512,
            "minDelta": 0.0012789689091583512,
            "maxDelta": 0.0012789689091583512,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.006394844545797085,
            "geometricBound": 0.00806686745599784,
            "residualBound": 0.0063948445457917575,
            "lower": [
              8.181818181818182,
              12.727272727272727
            ],
            "upper": [
              8.181818181818182,
              12.727272727272727
            ],
            "policyLower": [
              8.181818181818182,
              12.727272727272727
            ],
            "optimalUpper": [
              8.181818181818182,
              12.727272727272727
            ],
            "certifiedStop": true,
            "shifted": [
              8.191268969775244,
              12.736723515229789
            ],
            "shiftDifference": [
              0.0158456325028542,
              0.0158456325028542
            ],
            "shiftExpected": 0.015845632502852897,
            "shiftDefect": [
              1.304512053934559e-15,
              1.304512053934559e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0018901575914114233,
              -0.0018901575914114233
            ],
            "approximate": [
              8.675106424622332,
              13.220560970076876
            ],
            "approximateTV": [
              8.576448776061502,
              13.121903321516047
            ],
            "approximateDelta": [
              -0.09865764856082926,
              -0.09865764856082926
            ],
            "approximateResidual": 0.09865764856082926,
            "approximateError": 0.4932882428041463,
            "approximateBound": 0.5077499548059409,
            "pathDistance": 0.4996830873499416,
            "pathBound": 0.49968308734994304,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0013423514391703861
          },
          {
            "k": 34,
            "value": [
              8.176702306181548,
              12.722156851636093
            ],
            "q": [
              [
                7.541361844945239,
                8.177725481308876
              ],
              [
                12.723180026763421,
                8.54136184494524
              ]
            ],
            "tv": [
              8.177725481308876,
              12.723180026763421
            ],
            "delta": [
              0.0010231751273277467,
              0.0010231751273277467
            ],
            "residual": 0.0010231751273277467,
            "minDelta": 0.0010231751273277467,
            "maxDelta": 0.0010231751273277467,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.005115875636638734,
            "geometricBound": 0.006453493964798273,
            "residualBound": 0.0051158756366387345,
            "lower": [
              8.181818181818187,
              12.727272727272732
            ],
            "upper": [
              8.181818181818187,
              12.727272727272732
            ],
            "policyLower": [
              8.181818181818187,
              12.727272727272732
            ],
            "optimalUpper": [
              8.181818181818187,
              12.727272727272732
            ],
            "certifiedStop": true,
            "shifted": [
              8.189378812183833,
              12.734833357638378
            ],
            "shiftDifference": [
              0.012676506002284427,
              0.012676506002284427
            ],
            "shiftExpected": 0.012676506002282317,
            "shiftDefect": [
              2.1094237467877974e-15,
              2.1094237467877974e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0015121260731305597,
              -0.0015121260731305597
            ],
            "approximate": [
              8.676448776061502,
              13.221903321516047
            ],
            "approximateTV": [
              8.577522657212839,
              13.122977202667384
            ],
            "approximateDelta": [
              -0.09892611884866298,
              -0.09892611884866298
            ],
            "approximateResidual": 0.09892611884866298,
            "approximateError": 0.4946305942433167,
            "approximateBound": 0.5061999638447527,
            "pathDistance": 0.49974646987995364,
            "pathBound": 0.49974646987995447,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0010738811513366642
          },
          {
            "k": 35,
            "value": [
              8.177725481308876,
              12.723180026763421
            ],
            "q": [
              [
                7.542180385047101,
                8.178544021410737
              ],
              [
                12.723998566865282,
                8.5421803850471
              ]
            ],
            "tv": [
              8.178544021410737,
              12.723998566865282
            ],
            "delta": [
              0.0008185401018607763,
              0.0008185401018607763
            ],
            "residual": 0.0008185401018607763,
            "minDelta": 0.0008185401018607763,
            "maxDelta": 0.0008185401018607763,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.004092700509310987,
            "geometricBound": 0.005162795171838618,
            "residualBound": 0.004092700509303882,
            "lower": [
              8.18181818181818,
              12.727272727272725
            ],
            "upper": [
              8.18181818181818,
              12.727272727272725
            ],
            "policyLower": [
              8.18181818181818,
              12.727272727272725
            ],
            "optimalUpper": [
              8.18181818181818,
              12.727272727272725
            ],
            "certifiedStop": true,
            "shifted": [
              8.187866686110702,
              12.733321231565247
            ],
            "shiftDifference": [
              0.01014120480182612,
              0.01014120480182612
            ],
            "shiftExpected": 0.010141204801825855,
            "shiftDefect": [
              2.654126918244515e-16,
              2.654126918244515e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0012097008585030267,
              -0.0012097008585030267
            ],
            "approximate": [
              8.677522657212839,
              13.222977202667384
            ],
            "approximateTV": [
              8.578381762133908,
              13.123836307588453
            ],
            "approximateDelta": [
              -0.09914089507893031,
              -0.09914089507893031
            ],
            "approximateResidual": 0.09914089507893031,
            "approximateError": 0.49570447539465334,
            "approximateBound": 0.5049599710758023,
            "pathDistance": 0.49979717590396255,
            "pathBound": 0.49979717590396366,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0008591049210693313
          },
          {
            "k": 36,
            "value": [
              8.178544021410737,
              12.723998566865282
            ],
            "q": [
              [
                7.54283521712859,
                8.179198853492226
              ],
              [
                12.72465339894677,
                8.54283521712859
              ]
            ],
            "tv": [
              8.179198853492226,
              12.72465339894677
            ],
            "delta": [
              0.0006548320814889763,
              0.0006548320814889763
            ],
            "residual": 0.0006548320814889763,
            "minDelta": 0.0006548320814889763,
            "maxDelta": 0.0006548320814889763,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0032741604074502106,
            "geometricBound": 0.004130236137470896,
            "residualBound": 0.0032741604074448824,
            "lower": [
              8.181818181818182,
              12.727272727272727
            ],
            "upper": [
              8.181818181818182,
              12.727272727272727
            ],
            "policyLower": [
              8.181818181818182,
              12.727272727272727
            ],
            "optimalUpper": [
              8.181818181818182,
              12.727272727272727
            ],
            "certifiedStop": true,
            "shifted": [
              8.186656985252199,
              12.732111530706744
            ],
            "shiftDifference": [
              0.008112963841462317,
              0.008112963841462317
            ],
            "shiftExpected": 0.008112963841460683,
            "shiftDefect": [
              1.6341095143701523e-15,
              1.6341095143701523e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0009677606868034871,
              -0.0009677606868034871
            ],
            "approximate": [
              8.678381762133908,
              13.223836307588453
            ],
            "approximateTV": [
              8.579069046070764,
              13.124523591525309
            ],
            "approximateDelta": [
              -0.09931271606314418,
              -0.09931271606314418
            ],
            "approximateResidual": 0.09931271606314418,
            "approximateError": 0.4965635803157227,
            "approximateBound": 0.5039679768606418,
            "pathDistance": 0.4998377407231711,
            "pathBound": 0.4998377407231709,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0006872839368554651
          },
          {
            "k": 37,
            "value": [
              8.179198853492226,
              12.72465339894677
            ],
            "q": [
              [
                7.543359082793781,
                8.179722719157418
              ],
              [
                12.725177264611963,
                8.543359082793781
              ]
            ],
            "tv": [
              8.179722719157418,
              12.725177264611963
            ],
            "delta": [
              0.0005238656651922469,
              0.0005238656651922469
            ],
            "residual": 0.0005238656651922469,
            "minDelta": 0.0005238656651922469,
            "maxDelta": 0.0005238656651922469,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0026193283259612343,
            "geometricBound": 0.003304188909976717,
            "residualBound": 0.0026193283259612348,
            "lower": [
              8.181818181818187,
              12.727272727272732
            ],
            "upper": [
              8.181818181818187,
              12.727272727272732
            ],
            "policyLower": [
              8.181818181818187,
              12.727272727272732
            ],
            "optimalUpper": [
              8.181818181818187,
              12.727272727272732
            ],
            "certifiedStop": true,
            "shifted": [
              8.185689224565396,
              12.73114377001994
            ],
            "shiftDifference": [
              0.006490371073169854,
              0.006490371073169854
            ],
            "shiftExpected": 0.0064903710731685485,
            "shiftDefect": [
              1.3053794156725473e-15,
              1.3053794156725473e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0007742085494424344,
              -0.0007742085494424344
            ],
            "approximate": [
              8.679069046070763,
              13.224523591525308
            ],
            "approximateTV": [
              8.579618873220248,
              13.125073418674793
            ],
            "approximateDelta": [
              -0.09945017285051527,
              -0.09945017285051527
            ],
            "approximateResidual": 0.09945017285051527,
            "approximateError": 0.49725086425257814,
            "approximateBound": 0.5031743814885136,
            "pathDistance": 0.4998701925785376,
            "pathBound": 0.4998701925785368,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0005498271494843721
          },
          {
            "k": 38,
            "value": [
              8.179722719157418,
              12.725177264611963
            ],
            "q": [
              [
                7.543778175325935,
                8.180141811689571
              ],
              [
                12.725596357144116,
                8.543778175325935
              ]
            ],
            "tv": [
              8.180141811689571,
              12.725596357144116
            ],
            "delta": [
              0.0004190925321534422,
              0.0004190925321534422
            ],
            "residual": 0.0004190925321534422,
            "minDelta": 0.0004190925321534422,
            "maxDelta": 0.0004190925321534422,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0020954626607689875,
            "geometricBound": 0.0026433511279813733,
            "residualBound": 0.0020954626607672115,
            "lower": [
              8.181818181818185,
              12.72727272727273
            ],
            "upper": [
              8.181818181818185,
              12.72727272727273
            ],
            "policyLower": [
              8.181818181818185,
              12.72727272727273
            ],
            "optimalUpper": [
              8.181818181818185,
              12.72727272727273
            ],
            "certifiedStop": true,
            "shifted": [
              8.184915016015953,
              12.730369561470498
            ],
            "shiftDifference": [
              0.0051922968585351725,
              0.0051922968585351725
            ],
            "shiftExpected": 0.005192296858534839,
            "shiftDefect": [
              3.3393426912553537e-16,
              3.3393426912553537e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0006193668395546581,
              -0.0006193668395546581
            ],
            "approximate": [
              8.679618873220248,
              13.225073418674793
            ],
            "approximateTV": [
              8.580058734939835,
              13.12551328039438
            ],
            "approximateDelta": [
              -0.09956013828041321,
              -0.09956013828041321
            ],
            "approximateResidual": 0.09956013828041321,
            "approximateError": 0.4978006914020625,
            "approximateBound": 0.5025395051908108,
            "pathDistance": 0.4998961540628297,
            "pathBound": 0.4998961540628294,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.00043986171958643183
          },
          {
            "k": 39,
            "value": [
              8.180141811689571,
              12.725596357144116
            ],
            "q": [
              [
                7.5441134493516575,
                8.180477085715294
              ],
              [
                12.72593163116984,
                8.544113449351658
              ]
            ],
            "tv": [
              8.180477085715294,
              12.72593163116984
            ],
            "delta": [
              0.0003352740257227538,
              0.0003352740257227538
            ],
            "residual": 0.0003352740257227538,
            "minDelta": 0.0003352740257227538,
            "maxDelta": 0.0003352740257227538,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0016763701286155452,
            "geometricBound": 0.002114680902385099,
            "residualBound": 0.0016763701286137693,
            "lower": [
              8.181818181818185,
              12.72727272727273
            ],
            "upper": [
              8.181818181818185,
              12.72727272727273
            ],
            "policyLower": [
              8.181818181818185,
              12.72727272727273
            ],
            "optimalUpper": [
              8.181818181818185,
              12.72727272727273
            ],
            "certifiedStop": true,
            "shifted": [
              8.184295649176399,
              12.729750194630943
            ],
            "shiftDifference": [
              0.004153837486827072,
              0.004153837486827072
            ],
            "shiftExpected": 0.004153837486827871,
            "shiftDefect": [
              -7.988401606873197e-16,
              -7.988401606873197e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0004954934716430159,
              -0.0004954934716430159
            ],
            "approximate": [
              8.680058734939834,
              13.22551328039438
            ],
            "approximateTV": [
              8.580410624315505,
              13.12586516977005
            ],
            "approximateDelta": [
              -0.09964811062432943,
              -0.09964811062432943
            ],
            "approximateResidual": 0.09964811062432943,
            "approximateError": 0.49824055312164894,
            "approximateBound": 0.5020316041526487,
            "pathDistance": 0.4999169232502627,
            "pathBound": 0.49991692325026355,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0003518893756702113
          },
          {
            "k": 40,
            "value": [
              8.180477085715294,
              12.72593163116984
            ],
            "q": [
              [
                7.544381668572235,
                8.180745304935872
              ],
              [
                12.726199850390417,
                8.544381668572235
              ]
            ],
            "tv": [
              8.180745304935872,
              12.726199850390417
            ],
            "delta": [
              0.00026821922057784775,
              0.00026821922057784775
            ],
            "residual": 0.00026821922057784775,
            "minDelta": 0.00026821922057784775,
            "maxDelta": 0.00026821922057784775,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0013410961028927915,
            "geometricBound": 0.0016917447219080791,
            "residualBound": 0.001341096102889239,
            "lower": [
              8.181818181818183,
              12.727272727272728
            ],
            "upper": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLower": [
              8.181818181818183,
              12.727272727272728
            ],
            "optimalUpper": [
              8.181818181818183,
              12.727272727272728
            ],
            "certifiedStop": true,
            "shifted": [
              8.183800155704755,
              12.7292547011593
            ],
            "shiftDifference": [
              0.0033230699894613025,
              0.0033230699894613025
            ],
            "shiftExpected": 0.003323069989462297,
            "shiftDefect": [
              -9.944302326037047e-16,
              -9.944302326037047e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0003963947773151233,
              -0.0003963947773151233
            ],
            "approximate": [
              8.680410624315504,
              13.22586516977005
            ],
            "approximateTV": [
              8.58069213581604,
              13.126146681270585
            ],
            "approximateDelta": [
              -0.09971848849946419,
              -0.09971848849946419
            ],
            "approximateResidual": 0.09971848849946419,
            "approximateError": 0.49859244249731915,
            "approximateBound": 0.501625283322119,
            "pathDistance": 0.49993353860021017,
            "pathBound": 0.4999335386002109,
            "updateNoise": null,
            "actualNextChange": null
          }
        ],
        "scan": [
          {
            "gamma": 0,
            "value": [
              1,
              4
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 3,
            "horizon": 1
          },
          {
            "gamma": 0.01,
            "value": [
              1.0101010101010102,
              4.028209662012478
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9698189134808857,
            "horizon": 1.0101010101010102
          },
          {
            "gamma": 0.02,
            "value": [
              1.0204081632653061,
              4.056845410228869
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9392712550607287,
            "horizon": 1.0204081632653061
          },
          {
            "gamma": 0.03,
            "value": [
              1.0309278350515465,
              4.085917651752157
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9083503054989817,
            "horizon": 1.0309278350515465
          },
          {
            "gamma": 0.04,
            "value": [
              1.0416666666666667,
              4.115437158469946
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8770491803278686,
            "horizon": 1.0416666666666667
          },
          {
            "gamma": 0.05,
            "value": [
              1.0526315789473684,
              4.145415084102008
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8453608247422677,
            "horizon": 1.0526315789473684
          },
          {
            "gamma": 0.06,
            "value": [
              1.0638297872340425,
              4.175862982254789
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.813278008298755,
            "horizon": 1.0638297872340425
          },
          {
            "gamma": 0.07,
            "value": [
              1.0752688172043012,
              4.206792825555032
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.780793319415449,
            "horizon": 1.0752688172043012
          },
          {
            "gamma": 0.08,
            "value": [
              1.0869565217391304,
              4.238217025940811
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.7478991596638656,
            "horizon": 1.0869565217391304
          },
          {
            "gamma": 0.09,
            "value": [
              1.0989010989010988,
              4.270148456194968
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.714587737843552,
            "horizon": 1.0989010989010988
          },
          {
            "gamma": 0.1,
            "value": [
              1.1111111111111112,
              4.302600472813239
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6808510638297873,
            "horizon": 1.1111111111111112
          },
          {
            "gamma": 0.11,
            "value": [
              1.1235955056179776,
              4.335586940307485
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.646680942184154,
            "horizon": 1.1235955056179776
          },
          {
            "gamma": 0.12,
            "value": [
              1.1363636363636365,
              4.3691222570532915
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6120689655172415,
            "horizon": 1.1363636363636365
          },
          {
            "gamma": 0.13,
            "value": [
              1.1494252873563218,
              4.403221382801007
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.577006507592191,
            "horizon": 1.1494252873563218
          },
          {
            "gamma": 0.14,
            "value": [
              1.1627906976744187,
              4.437899867980095
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.541484716157205,
            "horizon": 1.1627906976744187
          },
          {
            "gamma": 0.15,
            "value": [
              1.1764705882352942,
              4.47317388493859
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.5054945054945055,
            "horizon": 1.1764705882352942
          },
          {
            "gamma": 0.16,
            "value": [
              1.1904761904761905,
              4.5090602612726505
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.4690265486725664,
            "horizon": 1.1904761904761905
          },
          {
            "gamma": 0.17,
            "value": [
              1.2048192771084338,
              4.5455765154157834
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.432071269487751,
            "horizon": 1.2048192771084338
          },
          {
            "gamma": 0.18,
            "value": [
              1.2195121951219512,
              4.58274089467352
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3946188340807177,
            "horizon": 1.2195121951219512
          },
          {
            "gamma": 0.19,
            "value": [
              1.2345679012345678,
              4.6205724159072545
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.356659142212189,
            "horizon": 1.2345679012345678
          },
          {
            "gamma": 0.2,
            "value": [
              1.25,
              4.659090909090908
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3181818181818183,
            "horizon": 1.25
          },
          {
            "gamma": 0.21,
            "value": [
              1.2658227848101264,
              4.698317063986328
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.279176201372998,
            "horizon": 1.2658227848101264
          },
          {
            "gamma": 0.22,
            "value": [
              1.282051282051282,
              4.738272480207963
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.2396313364055302,
            "horizon": 1.282051282051282
          },
          {
            "gamma": 0.23,
            "value": [
              1.2987012987012987,
              4.77897972097508
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.19953596287703,
            "horizon": 1.2987012987012987
          },
          {
            "gamma": 0.24,
            "value": [
              1.3157894736842106,
              4.820462370880473
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.158878504672897,
            "horizon": 1.3157894736842106
          },
          {
            "gamma": 0.25,
            "value": [
              1.3333333333333333,
              4.862745098039216
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.117647058823529,
            "horizon": 1.3333333333333333
          },
          {
            "gamma": 0.26,
            "value": [
              1.3513513513513513,
              4.905853721019598
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.075829383886256,
            "horizon": 1.3513513513513513
          },
          {
            "gamma": 0.27,
            "value": [
              1.36986301369863,
              4.949815281001733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.0334128878281623,
            "horizon": 1.36986301369863
          },
          {
            "gamma": 0.28,
            "value": [
              1.3888888888888888,
              4.99465811965812
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.990384615384615,
            "horizon": 1.3888888888888888
          },
          {
            "gamma": 0.29,
            "value": [
              1.4084507042253522,
              5.040411963305255
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.9467312348668282,
            "horizon": 1.4084507042253522
          },
          {
            "gamma": 0.3,
            "value": [
              1.4285714285714286,
              5.087108013937282
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.902439024390244,
            "horizon": 1.4285714285714286
          },
          {
            "gamma": 0.31,
            "value": [
              1.4492753623188408,
              5.134779047822526
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.8574938574938573,
            "horizon": 1.4492753623188408
          },
          {
            "gamma": 0.32,
            "value": [
              1.4705882352941178,
              5.18345952242283
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.811881188118812,
            "horizon": 1.4705882352941178
          },
          {
            "gamma": 0.33,
            "value": [
              1.492537313432836,
              5.233185692485204
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7655860349127186,
            "horizon": 1.492537313432836
          },
          {
            "gamma": 0.34,
            "value": [
              1.5151515151515154,
              5.283995736257043
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7185929648241205,
            "horizon": 1.5151515151515154
          },
          {
            "gamma": 0.35,
            "value": [
              1.5384615384615383,
              5.335929892891918
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.6708860759493671,
            "horizon": 1.5384615384615383
          },
          {
            "gamma": 0.36,
            "value": [
              1.5625,
              5.389030612244897
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.622448979591837,
            "horizon": 1.5625
          },
          {
            "gamma": 0.37,
            "value": [
              1.5873015873015872,
              5.443342718406986
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5732647814910024,
            "horizon": 1.5873015873015872
          },
          {
            "gamma": 0.38,
            "value": [
              1.6129032258064517,
              5.498913588500752
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5233160621761659,
            "horizon": 1.6129032258064517
          },
          {
            "gamma": 0.39,
            "value": [
              1.639344262295082,
              5.555793348456962
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4725848563968666,
            "horizon": 1.639344262295082
          },
          {
            "gamma": 0.4,
            "value": [
              1.6666666666666667,
              5.614035087719298
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4210526315789476,
            "horizon": 1.6666666666666667
          },
          {
            "gamma": 0.41,
            "value": [
              1.6949152542372878,
              5.673695095086094
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3687002652519897,
            "horizon": 1.6949152542372878
          },
          {
            "gamma": 0.42,
            "value": [
              1.7241379310344827,
              5.7348331182002585
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3155080213903743,
            "horizon": 1.7241379310344827
          },
          {
            "gamma": 0.43,
            "value": [
              1.7543859649122806,
              5.797512649548399
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.261455525606469,
            "horizon": 1.7543859649122806
          },
          {
            "gamma": 0.44,
            "value": [
              1.7857142857142856,
              5.861801242236025
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.2065217391304346,
            "horizon": 1.7857142857142856
          },
          {
            "gamma": 0.45,
            "value": [
              1.8181818181818181,
              5.927770859277708
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.1506849315068493,
            "horizon": 1.8181818181818181
          },
          {
            "gamma": 0.46,
            "value": [
              1.8518518518518516,
              5.995498260691631
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.0939226519337009,
            "horizon": 1.8518518518518516
          },
          {
            "gamma": 0.47,
            "value": [
              1.8867924528301885,
              6.065065433331582
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.036211699164345,
            "horizon": 1.8867924528301885
          },
          {
            "gamma": 0.48,
            "value": [
              1.923076923076923,
              6.136560069144339
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.97752808988764,
            "horizon": 1.923076923076923
          },
          {
            "gamma": 0.49,
            "value": [
              1.9607843137254901,
              6.210076098428041
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.9178470254957503,
            "horizon": 1.9607843137254901
          },
          {
            "gamma": 0.5,
            "value": [
              2,
              6.2857142857142865
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.8571428571428568,
            "horizon": 2
          },
          {
            "gamma": 0.51,
            "value": [
              2.0408163265306123,
              6.3635828971357995
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7953890489913547,
            "horizon": 2.0408163265306123
          },
          {
            "gamma": 0.52,
            "value": [
              2.0833333333333335,
              6.443798449612404
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7325581395348832,
            "horizon": 2.0833333333333335
          },
          {
            "gamma": 0.53,
            "value": [
              2.127659574468085,
              6.526486553940226
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6686217008797648,
            "horizon": 2.127659574468085
          },
          {
            "gamma": 0.54,
            "value": [
              2.173913043478261,
              6.611782865963469
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6035502958579877,
            "horizon": 2.173913043478261
          },
          {
            "gamma": 0.55,
            "value": [
              2.2222222222222223,
              6.69983416252073
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.5373134328358202,
            "horizon": 2.2222222222222223
          },
          {
            "gamma": 0.56,
            "value": [
              2.272727272727273,
              6.790799561883901
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.4698795180722879,
            "horizon": 2.272727272727273
          },
          {
            "gamma": 0.57,
            "value": [
              2.325581395348837,
              6.8848519120661615
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.401215805471125,
            "horizon": 2.325581395348837
          },
          {
            "gamma": 0.58,
            "value": [
              2.380952380952381,
              6.982179374817411
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.3312883435582825,
            "horizon": 2.380952380952381
          },
          {
            "gamma": 0.59,
            "value": [
              2.4390243902439024,
              7.082987238541115
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.26006191950464475,
            "horizon": 2.4390243902439024
          },
          {
            "gamma": 0.6,
            "value": [
              2.5,
              7.187499999999999
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.1875000000000009,
            "horizon": 2.5
          },
          {
            "gamma": 0.61,
            "value": [
              2.564102564102564,
              7.295963762840733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.11356466876971627,
            "horizon": 2.564102564102564
          },
          {
            "gamma": 0.62,
            "value": [
              2.6315789473684212,
              7.408649011062689
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.03821656050955369,
            "horizon": 2.6315789473684212
          },
          {
            "gamma": 0.625,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policy": [
              0,
              0
            ],
            "campTie": true,
            "campGap": -4.440892098500626e-16,
            "horizon": 2.6666666666666665
          },
          {
            "gamma": 0.63,
            "value": [
              2.754511700198601,
              7.546843968569209
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0191693290734829,
            "horizon": 2.7027027027027026
          },
          {
            "gamma": 0.64,
            "value": [
              2.937013446567587,
              7.714083510261855
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.05732484076433142,
            "horizon": 2.7777777777777777
          },
          {
            "gamma": 0.65,
            "value": [
              3.129251700680274,
              7.891156462585035
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0952380952380949,
            "horizon": 2.857142857142857
          },
          {
            "gamma": 0.66,
            "value": [
              3.3320923306031274,
              8.078927773641102
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1329113924050631,
            "horizon": 2.9411764705882355
          },
          {
            "gamma": 0.67,
            "value": [
              3.5465060701653774,
              8.278367268903548
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1703470031545744,
            "horizon": 3.0303030303030307
          },
          {
            "gamma": 0.68,
            "value": [
              3.773584905660378,
              8.490566037735851
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.20754716981132226,
            "horizon": 3.1250000000000004
          },
          {
            "gamma": 0.69,
            "value": [
              4.014561634138941,
              8.716755991505714
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2445141065830727,
            "horizon": 3.2258064516129026
          },
          {
            "gamma": 0.7,
            "value": [
              4.270833333333332,
              8.95833333333333
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2812499999999991,
            "horizon": 3.333333333333333
          },
          {
            "gamma": 0.71,
            "value": [
              4.543989687399291,
              9.216886883660973
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.31775700934579376,
            "horizon": 3.4482758620689653
          },
          {
            "gamma": 0.72,
            "value": [
              4.835847382431233,
              9.494232475598935
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.354037267080745,
            "horizon": 3.571428571428571
          },
          {
            "gamma": 0.73,
            "value": [
              5.14849214539617,
              9.792454993693381
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.39009287925696423,
            "horizon": 3.7037037037037033
          },
          {
            "gamma": 0.74,
            "value": [
              5.484330484330483,
              10.113960113960113
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.4259259259259256,
            "horizon": 3.846153846153846
          },
          {
            "gamma": 0.75,
            "value": [
              5.846153846153846,
              10.461538461538462
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.46153846153846256,
            "horizon": 4
          },
          {
            "gamma": 0.76,
            "value": [
              6.237218813905932,
              10.838445807770963
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.49693251533742266,
            "horizon": 4.166666666666667
          },
          {
            "gamma": 0.77,
            "value": [
              6.661348224970084,
              11.248504188272838
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.532110091743121,
            "horizon": 4.347826086956522
          },
          {
            "gamma": 0.78,
            "value": [
              7.123059866962307,
              11.696230598669622
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.5670731707317067,
            "horizon": 4.545454545454546
          },
          {
            "gamma": 0.79,
            "value": [
              7.6277319438413675,
              12.187002460558695
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6018237082066893,
            "horizon": 4.761904761904763
          },
          {
            "gamma": 0.8,
            "value": [
              8.181818181818185,
              12.727272727272732
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6363636363636385,
            "horizon": 5.000000000000001
          },
          {
            "gamma": 0.81,
            "value": [
              8.793130863412312,
              13.324852917792974
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6706948640483379,
            "horizon": 5.263157894736843
          },
          {
            "gamma": 0.82,
            "value": [
              9.471218206157964,
              13.989290495314588
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7048192771084327,
            "horizon": 5.5555555555555545
          },
          {
            "gamma": 0.83,
            "value": [
              10.227874933757283,
              14.732379438261788
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7387387387387392,
            "horizon": 5.882352941176469
          },
          {
            "gamma": 0.84,
            "value": [
              11.077844311377243,
              15.5688622754491
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7724550898203599,
            "horizon": 6.249999999999999
          },
          {
            "gamma": 0.85,
            "value": [
              12.039800995024873,
              16.51741293532338
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8059701492537332,
            "horizon": 6.666666666666666
          },
          {
            "gamma": 0.86,
            "value": [
              13.137755102040815,
              17.60204081632653
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8392857142857135,
            "horizon": 7.142857142857142
          },
          {
            "gamma": 0.87,
            "value": [
              14.403104314083542,
              18.854142889751195
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8724035608308576,
            "horizon": 7.692307692307692
          },
          {
            "gamma": 0.88,
            "value": [
              15.877712031558186,
              20.315581854043394
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9053254437869818,
            "horizon": 8.333333333333334
          },
          {
            "gamma": 0.89,
            "value": [
              17.618664521319392,
              22.04344328238134
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9380530973451329,
            "horizon": 9.090909090909092
          },
          {
            "gamma": 0.9,
            "value": [
              19.705882352941185,
              24.117647058823533
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.970588235294116,
            "horizon": 10.000000000000002
          },
          {
            "gamma": 0.91,
            "value": [
              22.254806125773875,
              26.653633105246016
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.002932551319649,
            "horizon": 11.111111111111114
          },
          {
            "gamma": 0.92,
            "value": [
              25.438596491228086,
              29.82456140350879
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0350877192982466,
            "horizon": 12.500000000000007
          },
          {
            "gamma": 0.93,
            "value": [
              29.52936276551439,
              33.90254060807999
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0670553935860099,
            "horizon": 14.285714285714295
          },
          {
            "gamma": 0.94,
            "value": [
              34.98062015503873,
              39.3410852713178
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0988372093023244,
            "horizon": 16.666666666666654
          },
          {
            "gamma": 0.95,
            "value": [
              42.60869565217387,
              46.95652173913039
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1304347826086882,
            "horizon": 19.999999999999982
          },
          {
            "gamma": 0.96,
            "value": [
              54.04624277456642,
              58.38150289017335
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1618497109826507,
            "horizon": 24.99999999999998
          },
          {
            "gamma": 0.97,
            "value": [
              73.102785782901,
              77.42555235350619
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1930835734870442,
            "horizon": 33.33333333333331
          },
          {
            "gamma": 0.98,
            "value": [
              111.20689655172404,
              115.51724137931022
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2241379310344485,
            "horizon": 49.99999999999996
          },
          {
            "gamma": 0.99,
            "value": [
              225.5014326647562,
              229.79942693409717
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2550143266475686,
            "horizon": 99.99999999999991
          },
          {
            "gamma": 1,
            "value": null,
            "policy": null,
            "campTie": false,
            "campGap": null,
            "horizon": null
          }
        ],
        "scope": "已知有限模型的确定性演示。数学界在实数算术下成立；此处为普通双精度读数，未做向外舍入区间认证。γ=1仅报告有限轮，不给无限时域价值或收敛证书。并列时确定性选第一动作，原始动作差保留。"
      }
    },
    {
      "key": "patient",
      "data": {
        "version": 178,
        "parameters": {
          "gamma": 0.99,
          "steps": 300,
          "camp": 0,
          "mine": 0,
          "shift": 25,
          "epsilon": 0.1,
          "pattern": "bias",
          "tolerance": 0.05
        },
        "model": [
          [
            {
              "name": "采集",
              "r": 1,
              "p": [
                1,
                0
              ]
            },
            {
              "name": "远行",
              "r": -2,
              "p": [
                0,
                1
              ]
            }
          ],
          [
            {
              "name": "收获",
              "r": 4,
              "p": [
                0.4,
                0.6
              ]
            },
            {
              "name": "返回",
              "r": 2,
              "p": [
                1,
                0
              ]
            }
          ]
        ],
        "star": [
          225.5014326647562,
          229.79942693409717
        ],
        "initialError": 229.79942693409717,
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "matrix": [
              [
                0.010000000000000009,
                0
              ],
              [
                -0.396,
                0.406
              ]
            ],
            "det": 0.004060000000000004,
            "value": [
              99.99999999999991,
              107.38916256157627
            ],
            "q": [
              [
                99.99999999999991,
                104.31527093596051
              ],
              [
                107.38916256157628,
                100.99999999999991
              ]
            ],
            "residual": [
              0,
              1.4210854715202004e-14
            ],
            "gaps": [
              4.315270935960598,
              0
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "matrix": [
              [
                0.010000000000000009,
                0
              ],
              [
                -0.99,
                1
              ]
            ],
            "det": 0.010000000000000009,
            "value": [
              99.99999999999991,
              100.99999999999991
            ],
            "q": [
              [
                99.99999999999991,
                97.98999999999991
              ],
              [
                103.59399999999991,
                100.99999999999991
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              2.593999999999994
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "matrix": [
              [
                1,
                -0.99
              ],
              [
                -0.396,
                0.406
              ]
            ],
            "det": 0.013960000000000028,
            "value": [
              225.50143266475598,
              229.79942693409697
            ],
            "q": [
              [
                224.2464183381084,
                225.501432664756
              ],
              [
                229.79942693409697,
                225.2464183381084
              ]
            ],
            "residual": [
              2.842170943040401e-14,
              0
            ],
            "gaps": [
              0,
              0
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "matrix": [
              [
                1,
                -0.99
              ],
              [
                -0.99,
                1
              ]
            ],
            "det": 0.01990000000000003,
            "value": [
              -1.0050251256281402,
              1.0050251256281402
            ],
            "q": [
              [
                0.00502512562814128,
                -1.0050251256281413
              ],
              [
                4.198994974874371,
                1.0050251256281413
              ]
            ],
            "residual": [
              -1.1102230246251565e-15,
              1.1102230246251565e-15
            ],
            "gaps": [
              1.0100502512562826,
              3.19396984924623
            ]
          }
        ],
        "rows": [
          {
            "k": 0,
            "value": [
              0,
              0
            ],
            "q": [
              [
                1,
                -2
              ],
              [
                4,
                2
              ]
            ],
            "tv": [
              1,
              4
            ],
            "delta": [
              1,
              4
            ],
            "residual": 4,
            "minDelta": 1,
            "maxDelta": 4,
            "spanDelta": 3,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              99.99999999999991,
              107.38916256157627
            ],
            "policyLoss": 125.5014326647563,
            "policyBound": 296.9999999999997,
            "error": 229.79942693409717,
            "geometricBound": 229.79942693409717,
            "residualBound": 399.99999999999966,
            "lower": [
              99.99999999999991,
              99.99999999999991
            ],
            "upper": [
              399.99999999999966,
              399.99999999999966
            ],
            "policyLower": [
              99.99999999999991,
              102.99999999999991
            ],
            "optimalUpper": [
              396.99999999999966,
              399.99999999999966
            ],
            "certifiedStop": false,
            "shifted": [
              25,
              25
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              0.75,
              3.75
            ],
            "approximate": [
              0,
              0
            ],
            "approximateTV": [
              1,
              4
            ],
            "approximateDelta": [
              1,
              4
            ],
            "approximateResidual": 4,
            "approximateError": 229.79942693409717,
            "approximateBound": 229.79942693409717,
            "pathDistance": 0,
            "pathBound": 0,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 4.1
          },
          {
            "k": 1,
            "value": [
              1,
              4
            ],
            "q": [
              [
                1.99,
                1.96
              ],
              [
                6.772,
                2.99
              ]
            ],
            "tv": [
              1.99,
              6.772
            ],
            "delta": [
              0.99,
              2.7720000000000002
            ],
            "residual": 2.7720000000000002,
            "minDelta": 0.99,
            "maxDelta": 2.7720000000000002,
            "spanDelta": 1.7820000000000003,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              99.99999999999991,
              107.38916256157627
            ],
            "policyLoss": 125.5014326647563,
            "policyBound": 176.41799999999986,
            "error": 225.79942693409717,
            "geometricBound": 227.5014326647562,
            "residualBound": 277.19999999999976,
            "lower": [
              99.99999999999991,
              102.99999999999991
            ],
            "upper": [
              278.19999999999976,
              281.19999999999976
            ],
            "policyLower": [
              99.9999999999999,
              104.78199999999991
            ],
            "optimalUpper": [
              276.4179999999998,
              281.19999999999976
            ],
            "certifiedStop": false,
            "shifted": [
              25.75,
              28.75
            ],
            "shiftDifference": [
              24.75,
              24.75
            ],
            "shiftExpected": 24.75,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              0.7424999999999997,
              2.5244999999999997
            ],
            "approximate": [
              1.1,
              4.1
            ],
            "approximateTV": [
              2.089,
              6.8709999999999996
            ],
            "approximateDelta": [
              0.9889999999999999,
              2.771
            ],
            "approximateResidual": 2.771,
            "approximateError": 225.69942693409718,
            "approximateBound": 227.6014326647562,
            "pathDistance": 0.10000000000000009,
            "pathBound": 0.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.8709999999999996
          },
          {
            "k": 2,
            "value": [
              1.99,
              6.772
            ],
            "q": [
              [
                2.9701,
                4.70428
              ],
              [
                8.810608,
                3.9701
              ]
            ],
            "tv": [
              4.70428,
              8.810608
            ],
            "delta": [
              2.7142799999999996,
              2.038608
            ],
            "residual": 2.7142799999999996,
            "minDelta": 2.038608,
            "maxDelta": 2.7142799999999996,
            "spanDelta": 0.6756719999999996,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 66.8915279999999,
            "error": 223.5114326647562,
            "geometricBound": 225.22641833810863,
            "residualBound": 271.4279999999997,
            "lower": [
              205.85079999999982,
              210.6327999999998
            ],
            "upper": [
              273.4179999999997,
              278.1999999999997
            ],
            "policyLower": [
              206.5264719999998,
              210.6327999999998
            ],
            "optimalUpper": [
              273.4179999999997,
              277.52432799999974
            ],
            "certifiedStop": false,
            "shifted": [
              26.4925,
              31.2745
            ],
            "shiftDifference": [
              24.5025,
              24.502499999999998
            ],
            "shiftExpected": 24.502499999999998,
            "shiftDefect": [
              3.552713678800501e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.4692550000000004,
              1.7935830000000017
            ],
            "approximate": [
              2.189,
              6.970999999999999
            ],
            "approximateTV": [
              4.9012899999999995,
              9.007617999999999
            ],
            "approximateDelta": [
              2.7122899999999994,
              2.036618
            ],
            "approximateResidual": 2.7122899999999994,
            "approximateError": 223.31243266475622,
            "approximateBound": 225.42541833810864,
            "pathDistance": 0.19900000000000007,
            "pathBound": 0.19900000000000012,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.812289999999999
          },
          {
            "k": 3,
            "value": [
              4.70428,
              8.810608
            ],
            "q": [
              [
                5.6572372,
                6.722501920000001
              ],
              [
                11.096396032000001,
                6.6572372
              ]
            ],
            "tv": [
              6.722501920000001,
              11.096396032000001
            ],
            "delta": [
              2.018221920000001,
              2.285788032000001
            ],
            "residual": 2.285788032000001,
            "minDelta": 2.018221920000001,
            "maxDelta": 2.285788032000001,
            "spanDelta": 0.2675661119999999,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 26.489045087999965,
            "error": 220.98881893409717,
            "geometricBound": 222.97415415472756,
            "residualBound": 228.5788031999999,
            "lower": [
              206.52647199999996,
              210.63279999999995
            ],
            "upper": [
              233.2830831999999,
              237.3894111999999
            ],
            "policyLower": [
              206.52647199999993,
              210.90036611199992
            ],
            "optimalUpper": [
              233.0155170879999,
              237.3894111999999
            ],
            "certifiedStop": false,
            "shifted": [
              28.961755,
              33.068083
            ],
            "shiftDifference": [
              24.257475,
              24.257475
            ],
            "shiftExpected": 24.257475,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.7756471700000027,
              2.0432132819999964
            ],
            "approximate": [
              5.001289999999999,
              9.107617999999999
            ],
            "approximateTV": [
              7.016541819999999,
              11.390435931999999
            ],
            "approximateDelta": [
              2.0152518199999996,
              2.2828179320000004
            ],
            "approximateResidual": 2.2828179320000004,
            "approximateError": 220.69180893409717,
            "approximateBound": 223.27116415472756,
            "pathDistance": 0.29700999999999933,
            "pathBound": 0.2970099999999995,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.382817932
          },
          {
            "k": 4,
            "value": [
              6.722501920000001,
              11.096396032000001
            ],
            "q": [
              [
                7.655276900800001,
                8.985432071680002
              ],
              [
                13.253370003328001,
                8.6552769008
              ]
            ],
            "tv": [
              8.985432071680002,
              13.253370003328001
            ],
            "delta": [
              2.262930151680001,
              2.156973971328
            ],
            "residual": 2.262930151680001,
            "minDelta": 2.156973971328,
            "maxDelta": 2.262930151680001,
            "spanDelta": 0.10595618035200083,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 10.489661854848071,
            "error": 218.7789307447562,
            "geometricBound": 220.74441261318026,
            "residualBound": 226.2930151679999,
            "lower": [
              222.41989905279982,
              226.7937931647998
            ],
            "upper": [
              233.0155170879999,
              237.3894111999999
            ],
            "policyLower": [
              222.52585523315184,
              226.79379316479984
            ],
            "optimalUpper": [
              233.01551708799988,
              237.28345501964787
            ],
            "certifiedStop": false,
            "shifted": [
              30.737402170000003,
              35.111296282
            ],
            "shiftDifference": [
              24.014900250000004,
              24.014900249999997
            ],
            "shiftExpected": 24.01490025,
            "shiftDefect": [
              3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.022781149179991,
              1.9168249688280028
            ],
            "approximate": [
              7.116541819999998,
              11.490435931999999
            ],
            "approximateTV": [
              9.375531572679998,
              13.643469504328
            ],
            "approximateDelta": [
              2.25898975268,
              2.1530335723280007
            ],
            "approximateResidual": 2.25898975268,
            "approximateError": 218.3848908447562,
            "approximateBound": 221.13845251318025,
            "pathDistance": 0.39403989999999744,
            "pathBound": 0.3940399000000002,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3589897526799994
          },
          {
            "k": 5,
            "value": [
              8.985432071680002,
              13.253370003328001
            ],
            "q": [
              [
                9.895577750963202,
                11.120836303294722
              ],
              [
                15.430732882362113,
                10.895577750963202
              ]
            ],
            "tv": [
              11.120836303294722,
              15.430732882362113
            ],
            "delta": [
              2.1354042316147197,
              2.1773628790341117
            ],
            "residual": 2.1773628790341117,
            "minDelta": 2.1354042316147197,
            "maxDelta": 2.1773628790341117,
            "spanDelta": 0.04195864741939204,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 4.153906094519808,
            "error": 216.54605693076917,
            "geometricBound": 218.53696848704845,
            "residualBound": 217.73628790341098,
            "lower": [
              222.5258552331518,
              226.79379316479978
            ],
            "upper": [
              226.721719975091,
              230.98965790673898
            ],
            "policyLower": [
              222.5258552331518,
              226.8357518122192
            ],
            "optimalUpper": [
              226.67976132767157,
              230.98965790673898
            ],
            "certifiedStop": false,
            "shifted": [
              32.760183319179994,
              37.028121250828
            ],
            "shiftDifference": [
              23.774751247499992,
              23.7747512475
            ],
            "shiftExpected": 23.7747512475,
            "shiftDefect": [
              -7.105427357601002e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.8976567191397251,
              1.93961536655911
            ],
            "approximate": [
              9.475531572679998,
              13.743469504327999
            ],
            "approximateTV": [
              11.606034809284719,
              15.91593138835211
            ],
            "approximateDelta": [
              2.1305032366047207,
              2.172461884024111
            ],
            "approximateResidual": 2.172461884024111,
            "approximateError": 216.05595742976917,
            "approximateBound": 219.02706798804846,
            "pathDistance": 0.4900995009999978,
            "pathBound": 0.49009950100000044,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.2724618840241124
          },
          {
            "k": 6,
            "value": [
              11.120836303294722,
              15.430732882362113
            ],
            "q": [
              [
                12.009627940261774,
                13.276425553538491
              ],
              [
                17.569706508227803,
                13.009627940261774
              ]
            ],
            "tv": [
              13.276425553538491,
              17.569706508227803
            ],
            "delta": [
              2.1555892502437697,
              2.13897362586569
            ],
            "residual": 2.1555892502437697,
            "minDelta": 2.13897362586569,
            "maxDelta": 2.1555892502437697,
            "spanDelta": 0.01661562437807973,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.6449468134298917,
            "error": 214.3805963614615,
            "geometricBound": 216.351598802178,
            "residualBound": 215.55892502437678,
            "lower": [
              225.01819888986353,
              229.32809546893094
            ],
            "upper": [
              226.67976132767149,
              230.9896579067389
            ],
            "policyLower": [
              225.03481451424162,
              229.3280954689309
            ],
            "optimalUpper": [
              226.67976132767154,
              230.97304228236084
            ],
            "certifiedStop": false,
            "shifted": [
              34.65784003831972,
              38.96773661738711
            ],
            "shiftDifference": [
              23.537003735024996,
              23.537003735024996
            ],
            "shiftExpected": 23.537003735025,
            "shiftDefect": [
              -3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.920219212893521,
              1.9036035885154448
            ],
            "approximate": [
              11.706034809284718,
              16.01593138835211
            ],
            "approximateTV": [
              13.85577207446859,
              18.149053029157905
            ],
            "approximateDelta": [
              2.1497372651838713,
              2.1331216408057934
            ],
            "approximateResidual": 2.1497372651838713,
            "approximateError": 213.7953978554715,
            "approximateBound": 216.936797308168,
            "pathDistance": 0.5851985059899985,
            "pathBound": 0.5851985059899996,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.249737265183871
          },
          {
            "k": 7,
            "value": [
              13.276425553538491,
              17.569706508227803
            ],
            "q": [
              [
                14.143661298003106,
                15.394009443145524
              ],
              [
                19.693870185088556,
                15.143661298003106
              ]
            ],
            "tv": [
              15.394009443145524,
              19.693870185088556
            ],
            "delta": [
              2.117583889607033,
              2.1241636768607535
            ],
            "residual": 2.1241636768607535,
            "minDelta": 2.117583889607033,
            "maxDelta": 2.1241636768607535,
            "spanDelta": 0.006579787253720326,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.6513989381183117,
            "error": 212.22972042586937,
            "geometricBound": 214.1880828141562,
            "residualBound": 212.41636768607515,
            "lower": [
              225.03481451424162,
              229.3280954689309
            ],
            "upper": [
              225.69279323961365,
              229.98607419430294
            ],
            "policyLower": [
              225.03481451424162,
              229.33467525618465
            ],
            "optimalUpper": [
              225.68621345235994,
              229.98607419430294
            ],
            "certifiedStop": false,
            "shifted": [
              36.57805925121324,
              40.871340205902555
            ],
            "shiftDifference": [
              23.30163369767475,
              23.301633697674752
            ],
            "shiftExpected": 23.30163369767475,
            "shiftDefect": [
              0,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.884567552630287,
              1.8911473398840002
            ],
            "approximate": [
              13.95577207446859,
              18.249053029157906
            ],
            "approximateTV": [
              16.066562498866325,
              20.366423240809354
            ],
            "approximateDelta": [
              2.1107904243977362,
              2.1173702116514477
            ],
            "approximateResidual": 2.1173702116514477,
            "approximateError": 211.55037390493925,
            "approximateBound": 214.86742933508629,
            "pathDistance": 0.6793465209301033,
            "pathBound": 0.6793465209301003,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.217370211651449
          },
          {
            "k": 8,
            "value": [
              15.394009443145524,
              19.693870185088556
            ],
            "q": [
              [
                16.24006934871407,
                17.49693148323767
              ],
              [
                21.79418662942823,
                17.24006934871407
              ]
            ],
            "tv": [
              17.49693148323767,
              21.79418662942823
            ],
            "delta": [
              2.102922040092146,
              2.100316444339672
            ],
            "residual": 2.102922040092146,
            "minDelta": 2.100316444339672,
            "maxDelta": 2.102922040092146,
            "spanDelta": 0.002605595752473988,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.2579539794949246,
            "error": 210.10742322161067,
            "geometricBound": 212.04620198601464,
            "residualBound": 210.2922040092144,
            "lower": [
              225.42565387711255,
              229.72551461905556
            ],
            "upper": [
              225.68621345235994,
              229.98607419430294
            ],
            "policyLower": [
              225.42825947286502,
              229.7255146190556
            ],
            "optimalUpper": [
              225.68621345235994,
              229.9834685985505
            ],
            "certifiedStop": false,
            "shifted": [
              38.46262680384353,
              42.762487545786556
            ],
            "shiftDifference": [
              23.068617360698003,
              23.068617360698
            ],
            "shiftExpected": 23.068617360698003,
            "shiftDefect": [
              0,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.8722358664851626,
              1.8696302707326922
            ],
            "approximate": [
              16.166562498866327,
              20.466423240809355
            ],
            "approximateTV": [
              18.261759008401263,
              22.55901415459182
            ],
            "approximateDelta": [
              2.0951965095349365,
              2.092590913782466
            ],
            "approximateResidual": 2.0951965095349365,
            "approximateError": 209.33487016588987,
            "approximateBound": 212.81875504173544,
            "pathDistance": 0.7725530557208025,
            "pathBound": 0.7725530557207987,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.195196509534938
          },
          {
            "k": 9,
            "value": [
              17.49693148323767,
              21.79418662942823
            ],
            "q": [
              [
                18.321962168405292,
                19.576244763133946
              ],
              [
                23.874531725242488,
                19.321962168405292
              ]
            ],
            "tv": [
              19.576244763133946,
              23.874531725242488
            ],
            "delta": [
              2.079313279896276,
              2.080345095814259
            ],
            "residual": 2.080345095814259,
            "minDelta": 2.079313279896276,
            "maxDelta": 2.080345095814259,
            "spanDelta": 0.001031815917983181,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.10214977588033482,
            "error": 208.00524030466894,
            "geometricBound": 209.92573996615448,
            "residualBound": 208.0345095814257,
            "lower": [
              225.42825947286508,
              229.72551461905564
            ],
            "upper": [
              225.53144106466337,
              229.82869621085393
            ],
            "policyLower": [
              225.42825947286508,
              229.7265464349736
            ],
            "optimalUpper": [
              225.5304092487454,
              229.82869621085393
            ],
            "certifiedStop": false,
            "shifted": [
              40.33486267032869,
              44.63211781651925
            ],
            "shiftDifference": [
              22.83793118709102,
              22.83793118709102
            ],
            "shiftExpected": 22.83793118709102,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.850933968025366,
              1.851965783943342
            ],
            "approximate": [
              18.361759008401265,
              22.659014154591823
            ],
            "approximateTV": [
              20.432424013045903,
              24.73071097515444
            ],
            "approximateDelta": [
              2.0706650046446384,
              2.071696820562618
            ],
            "approximateResidual": 2.071696820562618,
            "approximateError": 207.14041277950534,
            "approximateBound": 210.7905674913181,
            "pathDistance": 0.8648275251635944,
            "pathBound": 0.8648275251635911,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.1716968205626195
          },
          {
            "k": 10,
            "value": [
              19.576244763133946,
              23.874531725242488
            ],
            "q": [
              [
                20.380482315502608,
                21.63578640799006
              ],
              [
                25.93366477099508,
                21.380482315502608
              ]
            ],
            "tv": [
              21.63578640799006,
              25.93366477099508
            ],
            "delta": [
              2.0595416448561146,
              2.059133045752592
            ],
            "residual": 2.0595416448561146,
            "minDelta": 2.059133045752592,
            "maxDelta": 2.0595416448561146,
            "spanDelta": 0.00040859910352253337,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.04045131124873077,
            "error": 205.92518790162225,
            "geometricBound": 207.82648256649293,
            "residualBound": 205.95416448561127,
            "lower": [
              225.48954933839298,
              229.7878363005015
            ],
            "upper": [
              225.53040924874523,
              229.82869621085376
            ],
            "policyLower": [
              225.48995793749648,
              229.7878363005015
            ],
            "optimalUpper": [
              225.53040924874523,
              229.82828761175026
            ],
            "certifiedStop": false,
            "shifted": [
              42.185796638354056,
              46.48408360046259
            ],
            "shiftDifference": [
              22.60955187522011,
              22.609551875220102
            ],
            "shiftExpected": 22.60955187522011,
            "shiftDefect": [
              0,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.8334461261039081,
              1.8330375270003927
            ],
            "approximate": [
              20.532424013045905,
              24.830710975154442
            ],
            "approximateTV": [
              22.5824038654029,
              26.880282228407918
            ],
            "approximateDelta": [
              2.0499798523569943,
              2.0495712532534753
            ],
            "approximateResidual": 2.0499798523569943,
            "approximateError": 204.9690086517103,
            "approximateBound": 208.7826618164049,
            "pathDistance": 0.9561792499119584,
            "pathBound": 0.956179249911955,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.1499798523569957
          },
          {
            "k": 11,
            "value": [
              21.63578640799006,
              25.93366477099508
            ],
            "q": [
              [
                22.41942854391016,
                23.67432812328513
              ],
              [
                27.97236829153514,
                23.41942854391016
              ]
            ],
            "tv": [
              23.67432812328513,
              27.97236829153514
            ],
            "delta": [
              2.038541715295068,
              2.0387035205400608
            ],
            "residual": 2.0387035205400608,
            "minDelta": 2.038541715295068,
            "maxDelta": 2.0387035205400608,
            "spanDelta": 0.00016180524499276316,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.01601871925428354,
            "error": 203.8657621631021,
            "geometricBound": 205.748217740828,
            "residualBound": 203.8703520540059,
            "lower": [
              225.48995793749668,
              229.7878363005017
            ],
            "upper": [
              225.50613846199596,
              229.80401682500099
            ],
            "policyLower": [
              225.4899579374967,
              229.7879981057467
            ],
            "optimalUpper": [
              225.50597665675096,
              229.80401682500096
            ],
            "certifiedStop": false,
            "shifted": [
              44.019242764457964,
              48.31712112746298
            ],
            "shiftDifference": [
              22.383456356467903,
              22.383456356467903
            ],
            "shiftExpected": 22.38345635646791,
            "shiftDefect": [
              -7.105427357601002e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.8147071517303885,
              1.8148689569753813
            ],
            "approximate": [
              22.6824038654029,
              26.98028222840792
            ],
            "approximateTV": [
              24.710479406123838,
              29.008519574373853
            ],
            "approximateDelta": [
              2.0280755407209377,
              2.028237345965934
            ],
            "approximateResidual": 2.028237345965934,
            "approximateError": 202.81914470568924,
            "approximateBound": 206.79483519824083,
            "pathDistance": 1.0466174574128395,
            "pathBound": 1.0466174574128353,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.1282373459659354
          },
          {
            "k": 12,
            "value": [
              23.67432812328513,
              27.97236829153514
            ],
            "q": [
              [
                24.437584842052278,
                25.692644608619787
              ],
              [
                29.990620701992782,
                25.437584842052278
              ]
            ],
            "tv": [
              25.692644608619787,
              29.990620701992782
            ],
            "delta": [
              2.0183164853346582,
              2.0182524104576416
            ],
            "residual": 2.0183164853346582,
            "minDelta": 2.0182524104576416,
            "maxDelta": 2.0183164853346582,
            "spanDelta": 6.407487701665104e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.006343412824648448,
            "error": 201.82710454147107,
            "geometricBound": 203.69073556341974,
            "residualBound": 201.83164853346565,
            "lower": [
              225.49956916904912,
              229.79760933729912
            ],
            "upper": [
              225.5059766567508,
              229.8040168250008
            ],
            "policyLower": [
              225.49963324392613,
              229.79760933729912
            ],
            "optimalUpper": [
              225.50597665675076,
              229.80395275012376
            ],
            "certifiedStop": false,
            "shifted": [
              45.83394991618835,
              50.131990084438364
            ],
            "shiftDifference": [
              22.159621792903224,
              22.159621792903224
            ],
            "shiftExpected": 22.15962179290323,
            "shiftDefect": [
              -7.105427357601002e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.7967202674056253,
              1.7966561925286157
            ],
            "approximate": [
              24.81047940612384,
              29.108519574373855
            ],
            "approximateTV": [
              26.817434378630114,
              31.11541047200311
            ],
            "approximateDelta": [
              2.006954972506275,
              2.0068908976292548
            ],
            "approximateResidual": 2.006954972506275,
            "approximateError": 200.69095325863236,
            "approximateBound": 204.82688684625845,
            "pathDistance": 1.1361512828387141,
            "pathBound": 1.1361512828387068,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.1069549725062764
          },
          {
            "k": 13,
            "value": [
              25.692644608619787,
              29.990620701992782
            ],
            "q": [
              [
                26.43571816253359,
                27.690714494972855
              ],
              [
                31.988715961997148,
                27.43571816253359
              ]
            ],
            "tv": [
              27.690714494972855,
              31.988715961997148
            ],
            "delta": [
              1.9980698863530684,
              1.9980952600043658
            ],
            "residual": 1.9980952600043658,
            "minDelta": 1.9980698863530684,
            "maxDelta": 1.9980952600043658,
            "spanDelta": 2.53736512974001e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.002511991478442608,
            "error": 199.8088062321044,
            "geometricBound": 201.65382820778552,
            "residualBound": 199.8095260004364,
            "lower": [
              225.49963324392644,
              229.79760933729943
            ],
            "upper": [
              225.50217060905618,
              229.80014670242917
            ],
            "policyLower": [
              225.49963324392647,
              229.79763471095075
            ],
            "optimalUpper": [
              225.5021452354049,
              229.80014670242917
            ],
            "certifiedStop": false,
            "shifted": [
              47.63067018359398,
              51.92864627696698
            ],
            "shiftDifference": [
              21.93802557497419,
              21.938025574974198
            ],
            "shiftExpected": 21.938025574974198,
            "shiftDefect": [
              -7.105427357601002e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.7786896306033313,
              1.7787150042546145
            ],
            "approximate": [
              26.917434378630116,
              31.21541047200311
            ],
            "approximateTV": [
              28.903256367283078,
              33.20125783430738
            ],
            "approximateDelta": [
              1.9858219886529618,
              1.9858473623042663
            ],
            "approximateResidual": 1.9858473623042663,
            "approximateError": 198.58401646209407,
            "approximateBound": 202.87861797779584,
            "pathDistance": 1.2247897700103287,
            "pathBound": 1.2247897700103207,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.0858473623042677
          },
          {
            "k": 14,
            "value": [
              27.690714494972855,
              31.988715961997148
            ],
            "q": [
              [
                28.413807350023127,
                29.668828802377178
              ],
              [
                33.966820221435555,
                29.413807350023127
              ]
            ],
            "tv": [
              29.668828802377178,
              33.966820221435555
            ],
            "delta": [
              1.9781143074043221,
              1.9781042594384068
            ],
            "residual": 1.9781143074043221,
            "minDelta": 1.9781042594384068,
            "maxDelta": 1.9781143074043221,
            "spanDelta": 1.0047965915305213e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.0009947486256152152,
            "error": 197.81071816978334,
            "geometricBound": 199.63728992570768,
            "residualBound": 197.81143074043203,
            "lower": [
              225.50114043881337,
              229.79914190583764
            ],
            "upper": [
              225.5021452354049,
              229.80014670242917
            ],
            "policyLower": [
              225.5011504867793,
              229.79914190583764
            ],
            "optimalUpper": [
              225.5021452354049,
              229.80013665446324
            ],
            "certifiedStop": false,
            "shifted": [
              49.40935981419731,
              53.707361281221594
            ],
            "shiftDifference": [
              21.718645319224454,
              21.718645319224446
            ],
            "shiftExpected": 21.718645319224457,
            "shiftDefect": [
              -3.552713678800501e-15,
              -1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.7609278542120705,
              1.7609178062461694
            ],
            "approximate": [
              29.00325636728308,
              33.30125783430738
            ],
            "approximateTV": [
              30.968245255964305,
              35.26623667502268
            ],
            "approximateDelta": [
              1.9649888886812263,
              1.964978840715304
            ],
            "approximateResidual": 1.9649888886812263,
            "approximateError": 196.49817629747312,
            "approximateBound": 200.9498317980179,
            "pathDistance": 1.3125418723102307,
            "pathBound": 1.3125418723102167,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.0649888886812278
          },
          {
            "k": 15,
            "value": [
              29.668828802377178,
              33.966820221435555
            ],
            "q": [
              [
                30.372140514353404,
                31.6271520192212
              ],
              [
                35.92514741727408,
                31.372140514353404
              ]
            ],
            "tv": [
              31.6271520192212,
              35.92514741727408
            ],
            "delta": [
              1.9583232168440219,
              1.9583271958385282
            ],
            "residual": 1.9583271958385282,
            "minDelta": 1.9583232168440219,
            "maxDelta": 1.9583271958385282,
            "spanDelta": 3.978994506326217e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.0003939204561262951,
            "error": 195.83260671266163,
            "geometricBound": 197.64091702645058,
            "residualBound": 195.83271958385265,
            "lower": [
              225.50115048677918,
              229.7991419058376
            ],
            "upper": [
              225.50154838622984,
              229.7995398052882
            ],
            "policyLower": [
              225.5011504867792,
              229.7991458848321
            ],
            "optimalUpper": [
              225.50154440723531,
              229.7995398052882
            ],
            "certifiedStop": false,
            "shifted": [
              51.17028766840938,
              55.468279087467764
            ],
            "shiftDifference": [
              21.501458866032202,
              21.50145886603221
            ],
            "shiftExpected": 21.501458866032213,
            "shiftDefect": [
              -1.0658141036401503e-14,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.743308628183705,
              1.7433126071782041
            ],
            "approximate": [
              31.068245255964307,
              35.366236675022684
            ],
            "approximateTV": [
              33.012574308272455,
              37.31056970632534
            ],
            "approximateDelta": [
              1.9443290523081487,
              1.944333031302655
            ],
            "approximateResidual": 1.944333031302655,
            "approximateError": 194.43319025907448,
            "approximateBound": 199.0403334800377,
            "pathDistance": 1.3994164535871292,
            "pathBound": 1.3994164535871145,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.0443330313026564
          },
          {
            "k": 16,
            "value": [
              31.6271520192212,
              35.92514741727408
            ],
            "q": [
              [
                32.31088049902898,
                33.56589594310134
              ],
              [
                37.86388976547239,
                33.31088049902898
              ]
            ],
            "tv": [
              33.56589594310134,
              37.86388976547239
            ],
            "delta": [
              1.9387439238801392,
              1.9387423481983106
            ],
            "residual": 1.9387439238801392,
            "minDelta": 1.9387423481983106,
            "maxDelta": 1.9387439238801392,
            "spanDelta": 1.5756818285694862e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0.000155992501028379,
            "error": 193.874280645535,
            "geometricBound": 195.66450785618608,
            "residualBound": 193.87439238801375,
            "lower": [
              225.5013868390521,
              229.79938223710496
            ],
            "upper": [
              225.50154440723495,
              229.79953980528782
            ],
            "policyLower": [
              225.50138841473392,
              229.79938223710496
            ],
            "optimalUpper": [
              225.50154440723495,
              229.79953822960601
            ],
            "certifiedStop": false,
            "shifted": [
              52.913596296593084,
              57.21159169464597
            ],
            "shiftDifference": [
              21.286444277371885,
              21.286444277371885
            ],
            "shiftExpected": 21.28644427737189,
            "shiftDefect": [
              -3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.7258794811064249,
              1.7258779054245963
            ],
            "approximate": [
              33.11257430827246,
              37.41056970632534
            ],
            "approximateTV": [
              35.03646400926208,
              39.334457831633145
            ],
            "approximateDelta": [
              1.9238897009896263,
              1.9238881253078048
            ],
            "approximateResidual": 1.9238897009896263,
            "approximateError": 192.38885835648375,
            "approximateBound": 197.14993014523733,
            "pathDistance": 1.4854222890512574,
            "pathBound": 1.4854222890512434,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.0238897009896277
          },
          {
            "k": 17,
            "value": [
              33.56589594310134,
              37.86388976547239
            ],
            "q": [
              [
                34.23023698367032,
                35.48525086781767
              ],
              [
                39.783245314158734,
                35.23023698367032
              ]
            ],
            "tv": [
              35.48525086781767,
              39.783245314158734
            ],
            "delta": [
              1.9193549247163304,
              1.9193555486863403
            ],
            "residual": 1.9193555486863403,
            "minDelta": 1.9193549247163304,
            "maxDelta": 1.9193555486863403,
            "spanDelta": 6.239700098831236e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 6.177303097842918e-05,
            "error": 191.93553716862476,
            "geometricBound": 193.70786277762423,
            "residualBound": 191.93555486863386,
            "lower": [
              225.5013884147342,
              229.79938223710525
            ],
            "upper": [
              225.5014508117352,
              229.79944463410624
            ],
            "policyLower": [
              225.5013884147342,
              229.79938286107526
            ],
            "optimalUpper": [
              225.50145018776522,
              229.79944463410627
            ],
            "certifiedStop": false,
            "shifted": [
              54.63947577769951,
              58.937469600070564
            ],
            "shiftDifference": [
              21.07357983459817,
              21.07357983459817
            ],
            "shiftExpected": 21.07357983459817,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.7086191263703512,
              1.708619750340361
            ],
            "approximate": [
              35.136464009262085,
              39.434457831633146
            ],
            "approximateTV": [
              37.04011325331682,
              41.33810769965787
            ],
            "approximateDelta": [
              1.9036492440547335,
              1.903649868024722
            ],
            "approximateResidual": 1.903649868024722,
            "approximateError": 190.36496910246402,
            "approximateBound": 195.27843084378495,
            "pathDistance": 1.570568066160753,
            "pathBound": 1.570568066160731,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.0036498680247234
          },
          {
            "k": 18,
            "value": [
              35.48525086781767,
              39.783245314158734
            ],
            "q": [
              [
                36.13039835913949,
                37.385412861017144
              ],
              [
                41.683407060266084,
                37.13039835913949
              ]
            ],
            "tv": [
              37.385412861017144,
              41.683407060266084
            ],
            "delta": [
              1.9001619931994753,
              1.9001617461073508
            ],
            "residual": 1.9001619931994753,
            "minDelta": 1.9001617461073508,
            "maxDelta": 1.9001619931994753,
            "spanDelta": 2.4709212453899454e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.446212032936044e-05,
            "error": 190.01618179693855,
            "geometricBound": 191.77078414984797,
            "residualBound": 190.01619931994736,
            "lower": [
              225.50142547855256,
              229.79941992489364
            ],
            "upper": [
              225.50145018776504,
              229.7994446341061
            ],
            "policyLower": [
              225.5014257256447,
              229.79941992489367
            ],
            "optimalUpper": [
              225.50145018776504,
              229.79944438701398
            ],
            "certifiedStop": false,
            "shifted": [
              56.34809490406986,
              60.646089350410925
            ],
            "shiftDifference": [
              20.86284403625219,
              20.86284403625219
            ],
            "shiftExpected": 20.862844036252188,
            "shiftDefect": [
              3.552713678800501e-15,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.6915335528369582,
              1.6915333057448265
            ],
            "approximate": [
              37.14011325331682,
              41.43810769965787
            ],
            "approximateTV": [
              39.02372662266129,
              43.32172082191023
            ],
            "approximateDelta": [
              1.8836133693444737,
              1.8836131222523633
            ],
            "approximateResidual": 1.8836133693444737,
            "approximateError": 188.36131941143938,
            "approximateBound": 193.42564653534708,
            "pathDistance": 1.6548623854991504,
            "pathBound": 1.6548623854991238,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.983613369344475
          },
          {
            "k": 19,
            "value": [
              37.385412861017144,
              41.683407060266084
            ],
            "q": [
              [
                38.011558732406975,
                39.26657298966342
              ],
              [
                43.56456728676084,
                39.011558732406975
              ]
            ],
            "tv": [
              39.26657298966342,
              43.56456728676084
            ],
            "delta": [
              1.881160128646279,
              1.8811602264947567
            ],
            "residual": 1.8811602264947567,
            "minDelta": 1.881160128646279,
            "maxDelta": 1.8811602264947567,
            "spanDelta": 9.784847776472816e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 9.68699929870808e-06,
            "error": 188.11601987383108,
            "geometricBound": 189.8530763083495,
            "residualBound": 188.1160226494755,
            "lower": [
              225.50142572564488,
              229.7994199248938
            ],
            "upper": [
              225.50143551049263,
              229.7994297097416
            ],
            "policyLower": [
              225.50142572564488,
              229.7994200227423
            ],
            "optimalUpper": [
              225.50143541264416,
              229.7994297097416
            ],
            "certifiedStop": false,
            "shifted": [
              58.03962845690682,
              62.33762265615575
            ],
            "shiftDifference": [
              20.654215595889674,
              20.654215595889667
            ],
            "shiftExpected": 20.654215595889667,
            "shiftDefect": [
              7.105427357601002e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.674617972687372,
              1.674618070535864
            ],
            "approximate": [
              39.123726622661295,
              43.421720821910235
            ],
            "approximateTV": [
              40.98750361369113,
              45.28549791078855
            ],
            "approximateDelta": [
              1.8637769910298374,
              1.8637770888783152
            ],
            "approximateResidual": 1.8637770888783152,
            "approximateError": 186.37770611218693,
            "approximateBound": 191.59139006999362,
            "pathDistance": 1.7383137616441502,
            "pathBound": 1.7383137616441322,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.9637770888783166
          },
          {
            "k": 20,
            "value": [
              39.26657298966342,
              43.56456728676084
            ],
            "q": [
              [
                39.87390725976679,
                41.12892161389323
              ],
              [
                45.42691587224265,
                40.87390725976679
              ]
            ],
            "tv": [
              41.12892161389323,
              45.42691587224265
            ],
            "delta": [
              1.86234862422981,
              1.8623485854818114
            ],
            "residual": 1.86234862422981,
            "minDelta": 1.8623485854818114,
            "maxDelta": 1.86234862422981,
            "spanDelta": 3.874799858749611e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 3.836051860162112e-06,
            "error": 186.2348596750928,
            "geometricBound": 187.954545545266,
            "residualBound": 186.23486242298083,
            "lower": [
              225.50143153784438,
              229.79942583494181
            ],
            "upper": [
              225.50143541264424,
              229.79942970974167
            ],
            "policyLower": [
              225.50143157659238,
              229.79942583494181
            ],
            "optimalUpper": [
              225.50143541264424,
              229.79942967099367
            ],
            "certifiedStop": false,
            "shifted": [
              59.71424642959419,
              64.01224072669162
            ],
            "shiftDifference": [
              20.447673439930767,
              20.447673439930774
            ],
            "shiftExpected": 20.447673439930767,
            "shiftDefect": [
              0,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.6578718898305098,
              1.6578718510825041
            ],
            "approximate": [
              41.08750361369113,
              45.38549791078855
            ],
            "approximateTV": [
              42.93164293168066,
              47.22963719003009
            ],
            "approximateDelta": [
              1.84413931798953,
              1.8441392792415385
            ],
            "approximateResidual": 1.84413931798953,
            "approximateError": 184.41392905106508,
            "approximateBound": 189.77547616929368,
            "pathDistance": 1.82093062402771,
            "pathBound": 1.8209306240276906,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.9441393179895314
          },
          {
            "k": 21,
            "value": [
              41.12892161389323,
              45.42691587224265
            ],
            "q": [
              [
                41.7176323977543,
                42.97264671352023
              ],
              [
                47.27064098721386,
                42.7176323977543
              ]
            ],
            "tv": [
              42.97264671352023,
              47.27064098721386
            ],
            "delta": [
              1.8437250996269938,
              1.8437251149712068
            ],
            "residual": 1.8437251149712068,
            "minDelta": 1.8437250996269938,
            "maxDelta": 1.8437251149712068,
            "spanDelta": 1.534421301130351e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.519077088119046e-06,
            "error": 184.3725110618545,
            "geometricBound": 186.07500008981333,
            "residualBound": 184.3725114971205,
            "lower": [
              225.50143157659244,
              229.79942583494187
            ],
            "upper": [
              225.50143311101374,
              229.79942736936317
            ],
            "policyLower": [
              225.50143157659244,
              229.79942585028607
            ],
            "optimalUpper": [
              225.5014330956695,
              229.79942736936314
            ],
            "certifiedStop": false,
            "shifted": [
              61.3721183194247,
              65.67011257777412
            ],
            "shiftDifference": [
              20.243196705531467,
              20.243196705531467
            ],
            "shiftExpected": 20.24319670553146,
            "shiftDefect": [
              7.105427357601002e-15,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.6412931325716755,
              1.6412931479158885
            ],
            "approximate": [
              43.031642931680665,
              47.32963719003009
            ],
            "approximateTV": [
              44.85634081812979,
              49.15433509182342
            ],
            "approximateDelta": [
              1.8246978864491226,
              1.8246979017933285
            ],
            "approximateResidual": 1.8246979017933285,
            "approximateError": 182.46978974406707,
            "approximateBound": 187.97772140760074,
            "pathDistance": 1.9027213177874387,
            "pathBound": 1.9027213177874143,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.92469790179333
          },
          {
            "k": 22,
            "value": [
              42.97264671352023,
              47.27064098721386
            ],
            "q": [
              [
                43.54292024638502,
                44.79793457734172
              ],
              [
                49.09592884495905,
                44.54292024638502
              ]
            ],
            "tv": [
              44.79793457734172,
              49.09592884495905
            ],
            "delta": [
              1.8252878638214938,
              1.825287857745188
            ],
            "residual": 1.8252878638214938,
            "minDelta": 1.825287857745188,
            "maxDelta": 1.8252878638214938,
            "spanDelta": 6.076305680835503e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 6.015542624027143e-07,
            "error": 182.528785951236,
            "geometricBound": 184.2142500889152,
            "residualBound": 182.5287863821492,
            "lower": [
              225.50143248803886,
              229.7994267617325
            ],
            "upper": [
              225.50143309566943,
              229.79942736936306
            ],
            "policyLower": [
              225.5014324941152,
              229.79942676173252
            ],
            "optimalUpper": [
              225.50143309566943,
              229.79942736328675
            ],
            "certifiedStop": false,
            "shifted": [
              63.013411451996376,
              67.31140572569001
            ],
            "shiftDifference": [
              20.04076473847615,
              20.04076473847615
            ],
            "shiftExpected": 20.040764738476145,
            "shiftDefect": [
              3.552713678800501e-15,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.6248802164367362,
              1.6248802103604163
            ],
            "approximate": [
              44.95634081812979,
              49.25433509182342
            ],
            "approximateTV": [
              46.76179174090519,
              51.05978600852251
            ],
            "approximateDelta": [
              1.8054509227753996,
              1.8054509166990869
            ],
            "approximateResidual": 1.8054509227753996,
            "approximateError": 180.5450918466264,
            "approximateBound": 186.19794419352473,
            "pathDistance": 1.9836941046095617,
            "pathBound": 1.9836941046095398,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.905450922775401
          },
          {
            "k": 23,
            "value": [
              44.79793457734172,
              49.09592884495905
            ],
            "q": [
              [
                45.3499552315683,
                46.60496955650946
              ],
              [
                50.902963826533,
                46.3499552315683
              ]
            ],
            "tv": [
              46.60496955650946,
              50.902963826533
            ],
            "delta": [
              1.8070349791677387,
              1.807034981573949
            ],
            "residual": 1.807034981573949,
            "minDelta": 1.8070349791677387,
            "maxDelta": 1.807034981573949,
            "spanDelta": 2.4062103420874337e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.3821482386665572e-07,
            "error": 180.70349808913812,
            "geometricBound": 182.37210758802604,
            "residualBound": 180.70349815739473,
            "lower": [
              225.50143249411542,
              229.79942676173275
            ],
            "upper": [
              225.50143273473645,
              229.79942700235378
            ],
            "policyLower": [
              225.50143249411542,
              229.79942676413896
            ],
            "optimalUpper": [
              225.50143273233027,
              229.7994270023538
            ],
            "certifiedStop": false,
            "shifted": [
              64.63829166843311,
              68.93628593605042
            ],
            "shiftDifference": [
              19.84035709109139,
              19.840357091091377
            ],
            "shiftExpected": 19.840357091091384,
            "shiftDefect": [
              7.105427357601002e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.6086314082568123,
              1.608631410663051
            ],
            "approximate": [
              46.86179174090519,
              51.15978600852251
            ],
            "approximateTV": [
              48.648188148437285,
              52.94618241846082
            ],
            "approximateDelta": [
              1.786396407532095,
              1.7863964099383125
            ],
            "approximateResidual": 1.7863964099383125,
            "approximateError": 178.63964092557467,
            "approximateBound": 184.4359647515895,
            "pathDistance": 2.063857163563469,
            "pathBound": 2.063857163563444,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.886396409938314
          },
          {
            "k": 24,
            "value": [
              46.60496955650946,
              50.902963826533
            ],
            "q": [
              [
                47.13891986094436,
                48.393934188267664
              ],
              [
                52.69192845733834,
                48.13891986094436
              ]
            ],
            "tv": [
              48.393934188267664,
              52.69192845733834
            ],
            "delta": [
              1.7889646317582049,
              1.7889646308053457
            ],
            "residual": 1.7889646317582049,
            "minDelta": 1.7889646308053457,
            "maxDelta": 1.7889646317582049,
            "spanDelta": 9.528591249363672e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 9.433305336870027e-08,
            "error": 178.89646310824673,
            "geometricBound": 180.54838651214578,
            "residualBound": 178.89646317582032,
            "lower": [
              225.50143263704388,
              229.7994269070674
            ],
            "upper": [
              225.50143273232976,
              229.7994270023533
            ],
            "policyLower": [
              225.50143263799674,
              229.7994269070674
            ],
            "optimalUpper": [
              225.50143273232976,
              229.79942700140046
            ],
            "certifiedStop": false,
            "shifted": [
              66.24692307668992,
              70.54491734671348
            ],
            "shiftDifference": [
              19.641953520180465,
              19.64195352018048
            ],
            "shiftExpected": 19.64195352018047,
            "shiftDefect": [
              -3.552713678800501e-15,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.592545096556421,
              1.5925450956035405
            ],
            "approximate": [
              48.748188148437286,
              53.04618241846082
            ],
            "approximateTV": [
              50.51572059427622,
              54.813714863346895
            ],
            "approximateDelta": [
              1.7675324458389312,
              1.767532444886072
            ],
            "approximateResidual": 1.7675324458389312,
            "approximateError": 176.75324451631892,
            "approximateBound": 182.6916051040736,
            "pathDistance": 2.143218591927827,
            "pathBound": 2.1432185919278104,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.8675324458389326
          },
          {
            "k": 25,
            "value": [
              48.393934188267664,
              52.69192845733834
            ],
            "q": [
              [
                48.90999484638499,
                50.16500917276496
              ],
              [
                54.463003442212965,
                49.90999484638499
              ]
            ],
            "tv": [
              50.16500917276496,
              54.463003442212965
            ],
            "delta": [
              1.7710749844972966,
              1.7710749848746232
            ],
            "residual": 1.7710749848746232,
            "minDelta": 1.7710749844972966,
            "maxDelta": 1.7710749848746232,
            "spanDelta": 3.773266143980436e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 3.7355334825406284e-08,
            "error": 177.10749847675882,
            "geometricBound": 178.74290264702432,
            "residualBound": 177.10749848746215,
            "lower": [
              225.50143263799714,
              229.79942690706784
            ],
            "upper": [
              225.5014326757298,
              229.7994269448005
            ],
            "policyLower": [
              225.5014326379972,
              229.7994269074452
            ],
            "optimalUpper": [
              225.5014326753525,
              229.7994269448005
            ],
            "certifiedStop": false,
            "shifted": [
              67.83946817324635,
              72.13746244231702
            ],
            "shiftDifference": [
              19.44553398497868,
              19.445533984978674
            ],
            "shiftExpected": 19.445533984978667,
            "shiftDefect": [
              1.4210854715202004e-14,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.5766196446474936,
              1.5766196450248486
            ],
            "approximate": [
              50.61572059427622,
              54.9137148633469
            ],
            "approximateTV": [
              52.36457771471343,
              56.66257198416143
            ],
            "approximateDelta": [
              1.7488571204372079,
              1.7488571208145345
            ],
            "approximateResidual": 1.7488571208145345,
            "approximateError": 174.8857120707503,
            "approximateBound": 180.96468905303286,
            "pathDistance": 2.2217864060085546,
            "pathBound": 2.2217864060085315,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.848857120814536
          },
          {
            "k": 26,
            "value": [
              50.16500917276496,
              54.463003442212965
            ],
            "q": [
              [
                50.663359081037314,
                51.91837340779084
              ],
              [
                56.21636767708942,
                51.663359081037314
              ]
            ],
            "tv": [
              51.91837340779084,
              56.21636767708942
            ],
            "delta": [
              1.7533642350258773,
              1.7533642348764573
            ],
            "residual": 1.7533642350258773,
            "minDelta": 1.7533642348764573,
            "maxDelta": 1.7533642350258773,
            "spanDelta": 1.4942003190299147e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4792583158396142e-08,
            "error": 175.33642349199124,
            "geometricBound": 176.95547362055407,
            "residualBound": 175.3364235025876,
            "lower": [
              225.50143266041056,
              229.79942692985856
            ],
            "upper": [
              225.50143267535256,
              229.79942694480056
            ],
            "policyLower": [
              225.50143266055994,
              229.79942692985856
            ],
            "optimalUpper": [
              225.50143267535253,
              229.79942694465115
            ],
            "certifiedStop": false,
            "shifted": [
              69.41608781789384,
              73.71408208734186
            ],
            "shiftDifference": [
              19.251078645128878,
              19.2510786451289
            ],
            "shiftExpected": 19.251078645128878,
            "shiftDefect": [
              0,
              2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.5608534485746048,
              1.5608534484251635
            ],
            "approximate": [
              52.46457771471343,
              56.76257198416143
            ],
            "approximateTV": [
              54.19494626431982,
              58.49294053361841
            ],
            "approximateDelta": [
              1.7303685496063892,
              1.7303685494569763
            ],
            "approximateResidual": 1.7303685496063892,
            "approximateError": 173.03685495004277,
            "approximateBound": 179.25504216250252,
            "pathDistance": 2.2995685419484673,
            "pathBound": 2.2995685419484473,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.8303685496063906
          },
          {
            "k": 27,
            "value": [
              51.91837340779084,
              56.21636767708942
            ],
            "q": [
              [
                52.39918967371293,
                53.65420400031853
              ],
              [
                57.952198269676295,
                53.39918967371293
              ]
            ],
            "tv": [
              53.65420400031853,
              57.952198269676295
            ],
            "delta": [
              1.735830592527691,
              1.735830592586872
            ],
            "residual": 1.735830592586872,
            "minDelta": 1.735830592527691,
            "maxDelta": 1.735830592586872,
            "spanDelta": 5.918110446145874e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.85892934168441e-09,
            "error": 173.58305925700773,
            "geometricBound": 175.18591888434852,
            "residualBound": 173.58305925868706,
            "lower": [
              225.50143266055977,
              229.79942692985838
            ],
            "upper": [
              225.5014326664779,
              229.79942693577647
            ],
            "policyLower": [
              225.50143266055977,
              229.79942692991756
            ],
            "optimalUpper": [
              225.50143266641868,
              229.79942693577647
            ],
            "certifiedStop": false,
            "shifted": [
              70.97694126646844,
              75.27493553576703
            ],
            "shiftDifference": [
              19.058567858677605,
              19.058567858677605
            ],
            "shiftExpected": 19.058567858677588,
            "shiftDefect": [
              1.7763568394002505e-14,
              1.7763568394002505e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.5452449139409197,
              1.5452449140000937
            ],
            "approximate": [
              54.29494626431982,
              58.59294053361841
            ],
            "approximateTV": [
              56.00701112828222,
              60.30500539763998
            ],
            "approximateDelta": [
              1.7120648639624036,
              1.7120648640215705
            ],
            "approximateResidual": 1.7120648640215705,
            "approximateError": 171.20648640047875,
            "approximateBound": 177.56249174087748,
            "pathDistance": 2.3765728565289876,
            "pathBound": 2.3765728565289623,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.812064864021572
          },
          {
            "k": 28,
            "value": [
              53.65420400031853,
              57.952198269676295
            ],
            "q": [
              [
                54.117661960315345,
                55.372676286979534
              ],
              [
                59.67067055631386,
                55.117661960315345
              ]
            ],
            "tv": [
              55.372676286979534,
              59.67067055631386
            ],
            "delta": [
              1.7184722866610045,
              1.7184722866375637
            ],
            "residual": 1.7184722866610045,
            "minDelta": 1.7184722866375637,
            "maxDelta": 1.7184722866610045,
            "spanDelta": 2.3440804852725705e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.3206396804198427e-09,
            "error": 171.8472286644377,
            "geometricBound": 173.43405969550506,
            "residualBound": 171.8472286661003,
            "lower": [
              225.50143266407474,
              229.79942693343253
            ],
            "upper": [
              225.50143266641885,
              229.7994269357766
            ],
            "policyLower": [
              225.50143266409816,
              229.7994269334325
            ],
            "optimalUpper": [
              225.50143266641882,
              229.79942693575316
            ],
            "certifiedStop": false,
            "shifted": [
              72.52218618040936,
              76.82018044976712
            ],
            "shiftDifference": [
              18.867982180090834,
              18.867982180090827
            ],
            "shiftExpected": 18.867982180090813,
            "shiftDefect": [
              2.1316282072803006e-14,
              1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.5297924648600798,
              1.529792464836646
            ],
            "approximate": [
              56.107011128282224,
              60.40500539763998
            ],
            "approximateTV": [
              57.80095534366358,
              62.098949612997906
            ],
            "approximateDelta": [
              1.6939442153813573,
              1.6939442153579236
            ],
            "approximateResidual": 1.6939442153813573,
            "approximateError": 169.394421536474,
            "approximateBound": 175.88686682346872,
            "pathDistance": 2.4528071279636947,
            "pathBound": 2.452807127963672,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.7939442153813587
          },
          {
            "k": 29,
            "value": [
              55.372676286979534,
              59.67067055631386
            ],
            "q": [
              [
                55.81894952410974,
                57.07396385075072
              ],
              [
                61.37195812009433,
                56.81894952410974
              ]
            ],
            "tv": [
              57.07396385075072,
              61.37195812009433
            ],
            "delta": [
              1.7012875637711886,
              1.7012875637804683
            ],
            "residual": 1.7012875637804683,
            "minDelta": 1.7012875637711886,
            "maxDelta": 1.7012875637804683,
            "spanDelta": 9.279688129026908e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 9.186891247736631e-10,
            "error": 170.1287563777833,
            "geometricBound": 171.69971909855,
            "residualBound": 170.1287563780467,
            "lower": [
              225.50143266409825,
              229.79942693343258
            ],
            "upper": [
              225.50143266502621,
              229.79942693436055
            ],
            "policyLower": [
              225.50143266409825,
              229.79942693344185
            ],
            "optimalUpper": [
              225.50143266501692,
              229.79942693436053
            ],
            "certifiedStop": false,
            "shifted": [
              74.05197864526944,
              78.34997291460377
            ],
            "shiftDifference": [
              18.67930235828991,
              18.67930235828991
            ],
            "shiftExpected": 18.679302358289902,
            "shiftDefect": [
              7.105427357601002e-15,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.5144945401882808,
              1.5144945401975747
            ],
            "approximate": [
              57.90095534366358,
              62.19894961299791
            ],
            "approximateTV": [
              59.57696011686793,
              63.87495438621153
            ],
            "approximateDelta": [
              1.6760047732043475,
              1.67600477321362
            ],
            "approximateResidual": 1.67600477321362,
            "approximateError": 167.60047732109928,
            "approximateBound": 174.22799815523402,
            "pathDistance": 2.528279056684049,
            "pathBound": 2.5282790566840365,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.7760047732136215
          },
          {
            "k": 30,
            "value": [
              57.07396385075072,
              61.37195812009433
            ],
            "q": [
              [
                57.50322421224322,
                58.75823853889338
              ],
              [
                63.05623280823331,
                58.50322421224322
              ]
            ],
            "tv": [
              58.75823853889338,
              63.05623280823331
            ],
            "delta": [
              1.6842746881426578,
              1.6842746881389843
            ],
            "residual": 1.6842746881426578,
            "minDelta": 1.6842746881389843,
            "maxDelta": 1.6842746881426578,
            "spanDelta": 3.673505943879718e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 3.6367708844409177e-10,
            "error": 168.4274688140055,
            "geometricBound": 169.9827219075645,
            "residualBound": 168.42746881426564,
            "lower": [
              225.501432664649,
              229.7994269339926
            ],
            "upper": [
              225.50143266501635,
              229.79942693435996
            ],
            "policyLower": [
              225.50143266465267,
              229.7994269339926
            ],
            "optimalUpper": [
              225.50143266501635,
              229.7994269343563
            ],
            "certifiedStop": false,
            "shifted": [
              75.56647318545772,
              79.86446745480134
            ],
            "shiftDifference": [
              18.492509334707,
              18.492509334707016
            ],
            "shiftExpected": 18.492509334707005,
            "shiftDefect": [
              -3.552713678800501e-15,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.4993495947956035,
              1.4993495947919087
            ],
            "approximate": [
              59.67696011686793,
              63.97495438621153
            ],
            "approximateTV": [
              61.33520484234941,
              65.63319911168935
            ],
            "approximateDelta": [
              1.658244725481481,
              1.6582447254778216
            ],
            "approximateResidual": 1.658244725481481,
            "approximateError": 165.82447254788826,
            "approximateBound": 172.5857181736817,
            "pathDistance": 2.6029962661172092,
            "pathBound": 2.602996266117196,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.7582447254814824
          },
          {
            "k": 31,
            "value": [
              58.75823853889338,
              63.05623280823331
            ],
            "q": [
              [
                59.170656153504446,
                60.42567048015098
              ],
              [
                64.72366474949237,
                60.170656153504446
              ]
            ],
            "tv": [
              60.42567048015098,
              64.72366474949237
            ],
            "delta": [
              1.6674319412575969,
              1.6674319412590606
            ],
            "residual": 1.6674319412590606,
            "minDelta": 1.6674319412575969,
            "maxDelta": 1.6674319412590606,
            "spanDelta": 1.4637180356658064e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.449080855309147e-10,
            "error": 166.74319412586385,
            "geometricBound": 168.28289468848885,
            "residualBound": 166.74319412590592,
            "lower": [
              225.50143266465292,
              229.79942693399286
            ],
            "upper": [
              225.5014326647993,
              229.79942693413923
            ],
            "policyLower": [
              225.50143266465292,
              229.7994269339943
            ],
            "optimalUpper": [
              225.50143266479782,
              229.7994269341392
            ],
            "certifiedStop": false,
            "shifted": [
              77.06582278025333,
              81.36381704959325
            ],
            "shiftDifference": [
              18.307584241359947,
              18.30758424135994
            ],
            "shiftExpected": 18.307584241359937,
            "shiftDefect": [
              1.0658141036401503e-14,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.484356098843989,
              1.484356098845467
            ],
            "approximate": [
              61.435204842349414,
              65.73319911168934
            ],
            "approximateTV": [
              63.075867120572454,
              67.37386138991384
            ],
            "approximateDelta": [
              1.64066227822304,
              1.6406622782244966
            ],
            "approximateResidual": 1.6406622782244966,
            "approximateError": 164.06622782240782,
            "approximateBound": 170.95986099194488,
            "pathDistance": 2.676966303456034,
            "pathBound": 2.676966303456023,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.740662278224491
          },
          {
            "k": 32,
            "value": [
              60.42567048015098,
              64.72366474949237
            ],
            "q": [
              [
                60.82141377534947,
                62.07642810199745
              ],
              [
                66.37442237133826,
                61.82141377534947
              ]
            ],
            "tv": [
              62.07642810199745,
              66.37442237133826
            ],
            "delta": [
              1.6507576218464735,
              1.6507576218458837
            ],
            "residual": 1.6507576218464735,
            "minDelta": 1.6507576218458837,
            "maxDelta": 1.6507576218464735,
            "spanDelta": 5.897504706808832e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.838529659740738e-11,
            "error": 165.07576218460522,
            "geometricBound": 166.60006574160394,
            "residualBound": 165.0757621846472,
            "lower": [
              225.5014326647392,
              229.7994269340806
            ],
            "upper": [
              225.5014326647982,
              229.79942693413957
            ],
            "policyLower": [
              225.5014326647398,
              229.7994269340806
            ],
            "optimalUpper": [
              225.5014326647982,
              229.79942693413898
            ],
            "certifiedStop": false,
            "shifted": [
              78.55017887909732,
              82.84817314843872
            ],
            "shiftDifference": [
              18.12450839894634,
              18.124508398946347
            ],
            "shiftExpected": 18.124508398946336,
            "shiftDefect": [
              3.552713678800501e-15,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.469512537857014,
              1.4695125378564171
            ],
            "approximate": [
              63.175867120572455,
              67.47386138991384
            ],
            "approximateTV": [
              64.7991227760147,
              69.0971170453555
            ],
            "approximateDelta": [
              1.623255655442243,
              1.6232556554416675
            ],
            "approximateResidual": 1.623255655442243,
            "approximateError": 162.32556554418375,
            "approximateBound": 169.3502623820254,
            "pathDistance": 2.7501966404214784,
            "pathBound": 2.750196640421464,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.7232556554422374
          },
          {
            "k": 33,
            "value": [
              62.07642810199745,
              66.37442237133826
            ],
            "q": [
              [
                62.45566382097748,
                63.710678147624876
              ],
              [
                68.00867241696591,
                63.45566382097748
              ]
            ],
            "tv": [
              63.710678147624876,
              68.00867241696591
            ],
            "delta": [
              1.6342500456274252,
              1.6342500456276525
            ],
            "residual": 1.6342500456276525,
            "minDelta": 1.6342500456274252,
            "maxDelta": 1.6342500456276525,
            "spanDelta": 2.2737367544323206e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.2509993868879955e-11,
            "error": 163.42500456275891,
            "geometricBound": 164.93406508418792,
            "residualBound": 163.4250045627651,
            "lower": [
              225.5014326647398,
              229.79942693408063
            ],
            "upper": [
              225.50143266476255,
              229.79942693410337
            ],
            "policyLower": [
              225.5014326647398,
              229.79942693408086
            ],
            "optimalUpper": [
              225.50143266476232,
              229.79942693410337
            ],
            "certifiedStop": false,
            "shifted": [
              80.01969141695433,
              84.31768568629514
            ],
            "shiftDifference": [
              17.94326331495688,
              17.94326331495688
            ],
            "shiftExpected": 17.943263314956873,
            "shiftDefect": [
              7.105427357601002e-15,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.4548174124778512,
              1.4548174124780786
            ],
            "approximate": [
              64.89912277601469,
              69.1971170453555
            ],
            "approximateTV": [
              66.50514587490194,
              70.80314014424297
            ],
            "approximateDelta": [
              1.606023098887249,
              1.6060230988874764
            ],
            "approximateResidual": 1.6060230988874764,
            "approximateError": 160.60230988874167,
            "approximateBound": 167.75675975820516,
            "pathDistance": 2.8226946740172423,
            "pathBound": 2.8226946740172485,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.7060230988874707
          },
          {
            "k": 34,
            "value": [
              63.710678147624876,
              68.00867241696591
            ],
            "q": [
              [
                64.07357136614863,
                65.32858569279625
              ],
              [
                69.6265799621372,
                65.07357136614863
              ]
            ],
            "tv": [
              65.32858569279625,
              69.6265799621372
            ],
            "delta": [
              1.6179075451713771,
              1.6179075451712919
            ],
            "residual": 1.6179075451713771,
            "minDelta": 1.6179075451712919,
            "maxDelta": 1.6179075451713771,
            "spanDelta": 8.526512829121202e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 8.441247700829982e-12,
            "error": 161.79075451713135,
            "geometricBound": 163.284724433346,
            "residualBound": 161.79075451713757,
            "lower": [
              225.5014326647539,
              229.79942693409495
            ],
            "upper": [
              225.50143266476243,
              229.79942693410348
            ],
            "policyLower": [
              225.501432664754,
              229.79942693409492
            ],
            "optimalUpper": [
              225.50143266476246,
              229.7994269341034
            ],
            "certifiedStop": false,
            "shifted": [
              81.47450882943218,
              85.77250309877321
            ],
            "shiftDifference": [
              17.763830681807306,
              17.763830681807306
            ],
            "shiftExpected": 17.763830681807303,
            "shiftDefect": [
              3.552713678800501e-15,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.4402692383532951,
              1.440269238353224
            ],
            "approximate": [
              66.60514587490194,
              70.90314014424297
            ],
            "approximateTV": [
              68.19410874280054,
              72.49210301214148
            ],
            "approximateDelta": [
              1.5889628678986014,
              1.5889628678985162
            ],
            "approximateResidual": 1.5889628678986014,
            "approximateError": 158.8962867898543,
            "approximateBound": 166.1791921606231,
            "pathDistance": 2.8944677272770605,
            "pathBound": 2.8944677272770765,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.6889628678985957
          },
          {
            "k": 35,
            "value": [
              65.32858569279625,
              69.6265799621372
            ],
            "q": [
              [
                65.67529983586829,
                66.93031416251583
              ],
              [
                71.22830843185682,
                66.67529983586829
              ]
            ],
            "tv": [
              66.93031416251583,
              71.22830843185682
            ],
            "delta": [
              1.6017284697195748,
              1.6017284697196175
            ],
            "residual": 1.6017284697196175,
            "minDelta": 1.6017284697195748,
            "maxDelta": 1.6017284697196175,
            "spanDelta": 4.263256414560601e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 4.220623850414991e-12,
            "error": 160.17284697195998,
            "geometricBound": 161.65187718901257,
            "residualBound": 160.1728469719616,
            "lower": [
              225.5014326647536,
              229.79942693409453
            ],
            "upper": [
              225.50143266475786,
              229.7994269340988
            ],
            "policyLower": [
              225.5014326647536,
              229.79942693409458
            ],
            "optimalUpper": [
              225.5014326647578,
              229.7994269340988
            ],
            "certifiedStop": false,
            "shifted": [
              82.91477806778548,
              87.21277233712644
            ],
            "shiftDifference": [
              17.586192374989224,
              17.58619237498924
            ],
            "shiftExpected": 17.586192374989228,
            "shiftDefect": [
              -3.552713678800501e-15,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.425866545969697,
              1.4258665459697113
            ],
            "approximate": [
              68.29410874280053,
              72.59210301214148
            ],
            "approximateTV": [
              69.86618198202007,
              74.16417625136104
            ],
            "approximateDelta": [
              1.5720732392195345,
              1.5720732392195629
            ],
            "approximateResidual": 1.5720732392195629,
            "approximateError": 157.2073239219557,
            "approximateBound": 164.61740023901686,
            "pathDistance": 2.965523050004279,
            "pathBound": 2.9655230500043057,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.6720732392195572
          },
          {
            "k": 36,
            "value": [
              66.93031416251583,
              71.22830843185682
            ],
            "q": [
              [
                67.26101102089066,
                68.51602534753825
              ],
              [
                72.81401961687921,
                68.26101102089066
              ]
            ],
            "tv": [
              68.51602534753825,
              72.81401961687921
            ],
            "delta": [
              1.5857111850224186,
              1.5857111850223902
            ],
            "residual": 1.5857111850224186,
            "minDelta": 1.5857111850223902,
            "maxDelta": 1.5857111850224186,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 158.57111850224038,
            "geometricBound": 160.03535841712244,
            "residualBound": 158.57111850224172,
            "lower": [
              225.5014326647547,
              229.7994269340957
            ],
            "upper": [
              225.50143266475754,
              229.79942693409853
            ],
            "policyLower": [
              225.5014326647547,
              229.79942693409566
            ],
            "optimalUpper": [
              225.50143266475754,
              229.7994269340985
            ],
            "certifiedStop": false,
            "shifted": [
              84.34064461375517,
              88.63863888309615
            ],
            "shiftDifference": [
              17.410330451239346,
              17.410330451239332
            ],
            "shiftExpected": 17.410330451239336,
            "shiftDefect": [
              1.0658141036401503e-14,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.4116078805100187,
              1.4116078805100187
            ],
            "approximate": [
              69.96618198202006,
              74.26417625136104
            ],
            "approximateTV": [
              71.52153448884742,
              75.8195287581884
            ],
            "approximateDelta": [
              1.5553525068273615,
              1.5553525068273615
            ],
            "approximateResidual": 1.5553525068273615,
            "approximateError": 155.53525068273615,
            "approximateBound": 163.0712262366267,
            "pathDistance": 3.035867819504233,
            "pathBound": 3.035867819504263,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.6553525068273558
          },
          {
            "k": 37,
            "value": [
              68.51602534753825,
              72.81401961687921
            ],
            "q": [
              [
                68.83086509406286,
                70.08587942071041
              ],
              [
                74.38387369005139,
                69.83086509406286
              ]
            ],
            "tv": [
              70.08587942071041,
              74.38387369005139
            ],
            "delta": [
              1.5698540731721664,
              1.5698540731721806
            ],
            "residual": 1.5698540731721806,
            "minDelta": 1.5698540731721664,
            "maxDelta": 1.5698540731721806,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 156.98540731721795,
            "geometricBound": 158.43500483295122,
            "residualBound": 156.98540731721792,
            "lower": [
              225.50143266475476,
              229.79942693409572
            ],
            "upper": [
              225.50143266475618,
              229.79942693409714
            ],
            "policyLower": [
              225.50143266475476,
              229.79942693409572
            ],
            "optimalUpper": [
              225.50143266475618,
              229.79942693409714
            ],
            "certifiedStop": false,
            "shifted": [
              85.75225249426519,
              90.05024676360617
            ],
            "shiftDifference": [
              17.236227146726947,
              17.23622714672696
            ],
            "shiftExpected": 17.236227146726943,
            "shiftDefect": [
              3.552713678800501e-15,
              1.7763568394002505e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.3974918017049163,
              1.3974918017049163
            ],
            "approximate": [
              71.62153448884742,
              75.91952875818839
            ],
            "approximateTV": [
              73.1603334706065,
              77.45832773994749
            ],
            "approximateDelta": [
              1.5387989817590864,
              1.5387989817591006
            ],
            "approximateResidual": 1.5387989817591006,
            "approximateError": 153.8798981759088,
            "approximateBound": 161.54051397426045,
            "pathDistance": 3.1055091413091844,
            "pathBound": 3.10550914130922,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.6387989817590949
          },
          {
            "k": 38,
            "value": [
              70.08587942071041,
              74.38387369005139
            ],
            "q": [
              [
                70.3850206265033,
                71.64003495315087
              ],
              [
                75.93802922249185,
                71.3850206265033
              ]
            ],
            "tv": [
              71.64003495315087,
              75.93802922249185
            ],
            "delta": [
              1.5541555324404612,
              1.5541555324404612
            ],
            "residual": 1.5541555324404612,
            "minDelta": 1.5541555324404612,
            "maxDelta": 1.5541555324404612,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 155.41555324404578,
            "geometricBound": 156.8506547846217,
            "residualBound": 155.41555324404598,
            "lower": [
              225.5014326647564,
              229.79942693409737
            ],
            "upper": [
              225.5014326647564,
              229.79942693409737
            ],
            "policyLower": [
              225.5014326647564,
              229.79942693409737
            ],
            "optimalUpper": [
              225.5014326647564,
              229.79942693409737
            ],
            "certifiedStop": false,
            "shifted": [
              87.14974429597011,
              91.44773856531108
            ],
            "shiftDifference": [
              17.063864875259696,
              17.063864875259696
            ],
            "shiftExpected": 17.063864875259675,
            "shiftDefect": [
              2.1316282072803006e-14,
              2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.3835168836878609,
              1.3835168836878609
            ],
            "approximate": [
              73.2603334706065,
              77.55832773994749
            ],
            "approximateTV": [
              74.78274446254801,
              79.08073873188897
            ],
            "approximateDelta": [
              1.5224109919415127,
              1.5224109919414843
            ],
            "approximateResidual": 1.5224109919415127,
            "approximateError": 152.2410991941497,
            "approximateBound": 160.02510883451782,
            "pathDistance": 3.1744540498960987,
            "pathBound": 3.1744540498961276,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.622410991941507
          },
          {
            "k": 39,
            "value": [
              71.64003495315087,
              75.93802922249185
            ],
            "q": [
              [
                71.92363460361936,
                73.17864893026693
              ],
              [
                77.4766431996079,
                72.92363460361936
              ]
            ],
            "tv": [
              73.17864893026693,
              77.4766431996079
            ],
            "delta": [
              1.5386139771160572,
              1.5386139771160572
            ],
            "residual": 1.5386139771160572,
            "minDelta": 1.5386139771160572,
            "maxDelta": 1.5386139771160572,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 153.86139771160532,
            "geometricBound": 155.2821482367755,
            "residualBound": 153.86139771160558,
            "lower": [
              225.50143266475646,
              229.79942693409743
            ],
            "upper": [
              225.50143266475646,
              229.79942693409743
            ],
            "policyLower": [
              225.50143266475646,
              229.79942693409743
            ],
            "optimalUpper": [
              225.50143266475646,
              229.79942693409743
            ],
            "certifiedStop": false,
            "shifted": [
              88.53326117965797,
              92.83125544899895
            ],
            "shiftDifference": [
              16.893226226507096,
              16.893226226507096
            ],
            "shiftExpected": 16.89322622650708,
            "shiftDefect": [
              1.7763568394002505e-14,
              1.7763568394002505e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.3696817148509837,
              1.3696817148509837
            ],
            "approximate": [
              74.882744462548,
              79.18073873188897
            ],
            "approximateTV": [
              76.38893134457007,
              80.68692561391106
            ],
            "approximateDelta": [
              1.5061868820220639,
              1.5061868820220923
            ],
            "approximateResidual": 1.5061868820220923,
            "approximateError": 150.6186882022082,
            "approximateBound": 158.52485774617267,
            "pathDistance": 3.2427095093971303,
            "pathBound": 3.2427095093971667,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.6061868820220866
          },
          {
            "k": 40,
            "value": [
              73.17864893026693,
              77.4766431996079
            ],
            "q": [
              [
                73.44686244096427,
                74.70187676761182
              ],
              [
                78.99987103695281,
                74.44686244096427
              ]
            ],
            "tv": [
              74.70187676761182,
              78.99987103695281
            ],
            "delta": [
              1.5232278373448906,
              1.5232278373449049
            ],
            "residual": 1.5232278373449049,
            "minDelta": 1.5232278373448906,
            "maxDelta": 1.5232278373449049,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 152.3227837344893,
            "geometricBound": 153.72932675440774,
            "residualBound": 152.32278373449034,
            "lower": [
              225.50143266475584,
              229.79942693409683
            ],
            "upper": [
              225.50143266475726,
              229.79942693409825
            ],
            "policyLower": [
              225.50143266475587,
              229.79942693409686
            ],
            "optimalUpper": [
              225.50143266475726,
              229.79942693409825
            ],
            "certifiedStop": false,
            "shifted": [
              89.90294289450895,
              94.20093716384993
            ],
            "shiftDifference": [
              16.724293964242023,
              16.724293964242023
            ],
            "shiftExpected": 16.72429396424201,
            "shiftDefect": [
              1.4210854715202004e-14,
              1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.35598489770247,
              1.35598489770247
            ],
            "approximate": [
              76.48893134457006,
              80.78692561391105
            ],
            "approximateTV": [
              77.97905635777194,
              82.2770506271129
            ],
            "approximateDelta": [
              1.490125013201876,
              1.4901250132018475
            ],
            "approximateResidual": 1.490125013201876,
            "approximateError": 149.01250132018615,
            "approximateBound": 157.03960916871094,
            "pathDistance": 3.3102824143031455,
            "pathBound": 3.310282414303195,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.5901250132018703
          },
          {
            "k": 41,
            "value": [
              74.70187676761182,
              78.99987103695281
            ],
            "q": [
              [
                74.9548579999357,
                76.20987232658328
              ],
              [
                80.50786659592424,
                75.9548579999357
              ]
            ],
            "tv": [
              76.20987232658328,
              80.50786659592424
            ],
            "delta": [
              1.5079955589714586,
              1.5079955589714302
            ],
            "residual": 1.5079955589714586,
            "minDelta": 1.5079955589714302,
            "maxDelta": 1.5079955589714586,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 150.7995558971444,
            "geometricBound": 152.19203348686366,
            "residualBound": 150.79955589714572,
            "lower": [
              225.5014326647547,
              229.7994269340957
            ],
            "upper": [
              225.50143266475754,
              229.79942693409853
            ],
            "policyLower": [
              225.50143266475473,
              229.7994269340957
            ],
            "optimalUpper": [
              225.50143266475757,
              229.79942693409853
            ],
            "certifiedStop": false,
            "shifted": [
              91.25892779221142,
              95.5569220615524
            ],
            "shiftDifference": [
              16.557051024599602,
              16.557051024599588
            ],
            "shiftExpected": 16.557051024599588,
            "shiftDefect": [
              1.4210854715202004e-14,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.3424250487254454,
              1.3424250487254596
            ],
            "approximate": [
              78.07905635777193,
              82.3770506271129
            ],
            "approximateTV": [
              79.55328012084176,
              83.85127439018274
            ],
            "approximateDelta": [
              1.4742237630698298,
              1.474223763069844
            ],
            "approximateResidual": 1.474223763069844,
            "approximateError": 147.4223763069843,
            "approximateBound": 155.56921307702382,
            "pathDistance": 3.377179590160111,
            "pathBound": 3.3771795901601624,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.5742237630698384
          },
          {
            "k": 42,
            "value": [
              76.20987232658328,
              80.50786659592424
            ],
            "q": [
              [
                76.44777360331744,
                77.702787929965
              ],
              [
                82.00078219930597,
                77.44777360331744
              ]
            ],
            "tv": [
              77.702787929965,
              82.00078219930597
            ],
            "delta": [
              1.492915603381718,
              1.4929156033817321
            ],
            "residual": 1.4929156033817321,
            "minDelta": 1.492915603381718,
            "maxDelta": 1.4929156033817321,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 149.29156033817293,
            "geometricBound": 150.67011315199503,
            "residualBound": 149.29156033817307,
            "lower": [
              225.50143266475493,
              229.7994269340959
            ],
            "upper": [
              225.50143266475635,
              229.7994269340973
            ],
            "policyLower": [
              225.50143266475493,
              229.79942693409592
            ],
            "optimalUpper": [
              225.50143266475635,
              229.7994269340973
            ],
            "certifiedStop": false,
            "shifted": [
              92.60135284093687,
              96.89934711027786
            ],
            "shiftDifference": [
              16.39148051435359,
              16.391480514353617
            ],
            "shiftExpected": 16.39148051435359,
            "shiftDefect": [
              0,
              2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.3290007982382122,
              1.3290007982381837
            ],
            "approximate": [
              79.65328012084176,
              83.95127439018273
            ],
            "approximateTV": [
              81.11176164628091,
              85.40975591562189
            ],
            "approximateDelta": [
              1.4584815254391543,
              1.4584815254391543
            ],
            "approximateResidual": 1.4584815254391543,
            "approximateError": 145.84815254391447,
            "approximateBound": 154.11352094625357,
            "pathDistance": 3.4434077942584906,
            "pathBound": 3.4434077942585612,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.5584815254391486
          },
          {
            "k": 43,
            "value": [
              77.702787929965,
              82.00078219930597
            ],
            "q": [
              [
                77.92576005066535,
                79.18077437731291
              ],
              [
                83.47876864665389,
                78.92576005066535
              ]
            ],
            "tv": [
              79.18077437731291,
              83.47876864665389
            ],
            "delta": [
              1.4779864473479165,
              1.4779864473479165
            ],
            "residual": 1.4779864473479165,
            "minDelta": 1.4779864473479165,
            "maxDelta": 1.4779864473479165,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 147.7986447347912,
            "geometricBound": 149.16341202047505,
            "residualBound": 147.7986447347915,
            "lower": [
              225.50143266475652,
              229.79942693409748
            ],
            "upper": [
              225.50143266475652,
              229.79942693409748
            ],
            "policyLower": [
              225.50143266475652,
              229.7994269340975
            ],
            "optimalUpper": [
              225.50143266475652,
              229.7994269340975
            ],
            "certifiedStop": false,
            "shifted": [
              93.93035363917508,
              98.22834790851604
            ],
            "shiftDifference": [
              16.227565709210083,
              16.22756570921007
            ],
            "shiftExpected": 16.227565709210054,
            "shiftDefect": [
              2.842170943040401e-14,
              1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.3157107902558067,
              1.315710790255821
            ],
            "approximate": [
              81.2117616462809,
              85.50975591562188
            ],
            "approximateTV": [
              82.65465835646566,
              86.95265262580662
            ],
            "approximateDelta": [
              1.4428967101847547,
              1.4428967101847405
            ],
            "approximateResidual": 1.4428967101847547,
            "approximateError": 144.2896710184753,
            "approximateBound": 152.67238573679103,
            "pathDistance": 3.508973716315907,
            "pathBound": 3.5089737163159755,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.542896710184749
          },
          {
            "k": 44,
            "value": [
              79.18077437731291,
              83.47876864665389
            ],
            "q": [
              [
                79.38896663353978,
                80.64398096018735
              ],
              [
                84.94197522952832,
                80.38896663353978
              ]
            ],
            "tv": [
              80.64398096018735,
              84.94197522952832
            ],
            "delta": [
              1.4632065828744345,
              1.4632065828744345
            ],
            "residual": 1.4632065828744345,
            "minDelta": 1.4632065828744345,
            "maxDelta": 1.4632065828744345,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 146.32065828744328,
            "geometricBound": 147.6717779002703,
            "residualBound": 146.3206582874433,
            "lower": [
              225.50143266475624,
              229.7994269340972
            ],
            "upper": [
              225.50143266475624,
              229.7994269340972
            ],
            "policyLower": [
              225.50143266475624,
              229.7994269340972
            ],
            "optimalUpper": [
              225.50143266475624,
              229.7994269340972
            ],
            "certifiedStop": false,
            "shifted": [
              95.24606442943089,
              99.54405869877186
            ],
            "shiftDifference": [
              16.065290052117973,
              16.065290052117973
            ],
            "shiftExpected": 16.065290052117952,
            "shiftDefect": [
              2.1316282072803006e-14,
              2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.302553682353249,
              1.3025536823532633
            ],
            "approximate": [
              82.75465835646565,
              87.05265262580662
            ],
            "approximateTV": [
              84.18212609954855,
              88.48012036888953
            ],
            "approximateDelta": [
              1.4274677430829001,
              1.4274677430829144
            ],
            "approximateResidual": 1.4274677430829144,
            "approximateError": 142.74677430829055,
            "approximateBound": 151.24566187942312,
            "pathDistance": 3.5738839791527397,
            "pathBound": 3.573883979152816,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.5274677430829087
          },
          {
            "k": 45,
            "value": [
              80.64398096018735,
              84.94197522952832
            ],
            "q": [
              [
                80.83754115058548,
                82.09255547723303
              ],
              [
                86.39054974657401,
                81.83754115058548
              ]
            ],
            "tv": [
              82.09255547723303,
              86.39054974657401
            ],
            "delta": [
              1.4485745170456852,
              1.4485745170456852
            ],
            "residual": 1.4485745170456852,
            "minDelta": 1.4485745170456852,
            "maxDelta": 1.4485745170456852,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 144.85745170456886,
            "geometricBound": 146.1950601212676,
            "residualBound": 144.85745170456838,
            "lower": [
              225.50143266475573,
              229.7994269340967
            ],
            "upper": [
              225.50143266475573,
              229.7994269340967
            ],
            "policyLower": [
              225.50143266475573,
              229.79942693409672
            ],
            "optimalUpper": [
              225.50143266475573,
              229.79942693409672
            ],
            "certifiedStop": false,
            "shifted": [
              96.54861811178414,
              100.84661238112513
            ],
            "shiftDifference": [
              15.904637151596788,
              15.904637151596802
            ],
            "shiftExpected": 15.904637151596773,
            "shiftDefect": [
              1.4210854715202004e-14,
              2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.2895281455297436,
              1.2895281455297152
            ],
            "approximate": [
              84.28212609954855,
              88.58012036888952
            ],
            "approximateTV": [
              85.69431916520062,
              89.9923134345416
            ],
            "approximateDelta": [
              1.412193065652076,
              1.412193065652076
            ],
            "approximateResidual": 1.412193065652076,
            "approximateError": 141.21930656520766,
            "approximateBound": 149.8332052606289,
            "pathDistance": 3.6381451393611997,
            "pathBound": 3.638145139361288,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.5121930656520703
          },
          {
            "k": 46,
            "value": [
              82.09255547723303,
              86.39054974657401
            ],
            "q": [
              [
                82.2716299224607,
                83.52664424910827
              ],
              [
                87.82463851844925,
                83.2716299224607
              ]
            ],
            "tv": [
              83.52664424910827,
              87.82463851844925
            ],
            "delta": [
              1.4340887718752384,
              1.4340887718752384
            ],
            "residual": 1.4340887718752384,
            "minDelta": 1.4340887718752384,
            "maxDelta": 1.4340887718752384,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 143.40887718752316,
            "geometricBound": 144.73310952005494,
            "residualBound": 143.40887718752373,
            "lower": [
              225.50143266475675,
              229.79942693409774
            ],
            "upper": [
              225.50143266475675,
              229.79942693409774
            ],
            "policyLower": [
              225.50143266475675,
              229.7994269340977
            ],
            "optimalUpper": [
              225.50143266475675,
              229.7994269340977
            ],
            "certifiedStop": false,
            "shifted": [
              97.83814625731388,
              102.13614052665484
            ],
            "shiftDifference": [
              15.745590780080846,
              15.745590780080832
            ],
            "shiftExpected": 15.745590780080807,
            "shiftDefect": [
              3.907985046680551e-14,
              2.4868995751603507e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.276632864074415,
              1.276632864074429
            ],
            "approximate": [
              85.79431916520062,
              90.0923134345416
            ],
            "approximateTV": [
              87.19139030019618,
              91.48938456953715
            ],
            "approximateDelta": [
              1.3970711349955565,
              1.3970711349955565
            ],
            "approximateResidual": 1.3970711349955565,
            "approximateError": 139.7071134995556,
            "approximateBound": 148.43487320802262,
            "pathDistance": 3.701763687967585,
            "pathBound": 3.7017636879676745,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.4970711349955508
          },
          {
            "k": 47,
            "value": [
              83.52664424910827,
              87.82463851844925
            ],
            "q": [
              [
                83.69137780661718,
                84.94639213326475
              ],
              [
                89.24438640260573,
                84.69137780661718
              ]
            ],
            "tv": [
              84.94639213326475,
              89.24438640260573
            ],
            "delta": [
              1.4197478841564788,
              1.4197478841564788
            ],
            "residual": 1.4197478841564788,
            "minDelta": 1.4197478841564788,
            "maxDelta": 1.4197478841564788,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 141.97478841564794,
            "geometricBound": 143.28577842485439,
            "residualBound": 141.97478841564777,
            "lower": [
              225.50143266475604,
              229.79942693409703
            ],
            "upper": [
              225.50143266475604,
              229.79942693409703
            ],
            "policyLower": [
              225.501432664756,
              229.799426934097
            ],
            "optimalUpper": [
              225.501432664756,
              229.799426934097
            ],
            "certifiedStop": false,
            "shifted": [
              99.1147791213883,
              103.41277339072927
            ],
            "shiftDifference": [
              15.588134872280023,
              15.588134872280023
            ],
            "shiftExpected": 15.58813487228,
            "shiftDefect": [
              2.3092638912203256e-14,
              2.3092638912203256e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.263866535433678,
              1.263866535433678
            ],
            "approximate": [
              87.29139030019617,
              91.58938456953715
            ],
            "approximateTV": [
              88.67349072384177,
              92.97148499318276
            ],
            "approximateDelta": [
              1.3821004236455963,
              1.3821004236456105
            ],
            "approximateResidual": 1.3821004236456105,
            "approximateError": 138.21004236456002,
            "approximateBound": 147.05052447594238,
            "pathDistance": 3.764746051087897,
            "pathBound": 3.7647460510879975,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.4821004236456048
          },
          {
            "k": 48,
            "value": [
              84.94639213326475,
              89.24438640260573
            ],
            "q": [
              [
                85.09692821193211,
                86.35194253857966
              ],
              [
                90.64993680792065,
                86.09692821193211
              ]
            ],
            "tv": [
              86.35194253857966,
              90.64993680792065
            ],
            "delta": [
              1.4055504053149122,
              1.4055504053149264
            ],
            "residual": 1.4055504053149264,
            "minDelta": 1.4055504053149122,
            "maxDelta": 1.4055504053149264,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 140.55504053149144,
            "geometricBound": 141.85292064060584,
            "residualBound": 140.55504053149252,
            "lower": [
              225.50143266475584,
              229.79942693409683
            ],
            "upper": [
              225.50143266475726,
              229.79942693409825
            ],
            "policyLower": [
              225.50143266475584,
              229.79942693409683
            ],
            "optimalUpper": [
              225.50143266475723,
              229.79942693409822
            ],
            "certifiedStop": false,
            "shifted": [
              100.37864565682197,
              104.67663992616295
            ],
            "shiftDifference": [
              15.432253523557222,
              15.432253523557222
            ],
            "shiftExpected": 15.432253523557199,
            "shiftDefect": [
              2.3092638912203256e-14,
              2.3092638912203256e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.2512278700793473,
              1.2512278700793473
            ],
            "approximate": [
              88.77349072384176,
              93.07148499318275
            ],
            "approximateTV": [
              90.14077014325092,
              94.4387644125919
            ],
            "approximateDelta": [
              1.367279419409158,
              1.3672794194091438
            ],
            "approximateResidual": 1.367279419409158,
            "approximateError": 136.72794194091443,
            "approximateBound": 145.68001923118297,
            "pathDistance": 3.827098590577023,
            "pathBound": 3.8270985905771173,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.4672794194091523
          },
          {
            "k": 49,
            "value": [
              86.35194253857966,
              90.64993680792065
            ],
            "q": [
              [
                86.48842311319386,
                87.74343743984144
              ],
              [
                92.0414317091824,
                87.48842311319386
              ]
            ],
            "tv": [
              87.74343743984144,
              92.0414317091824
            ],
            "delta": [
              1.3914949012617797,
              1.3914949012617512
            ],
            "residual": 1.3914949012617797,
            "minDelta": 1.3914949012617512,
            "maxDelta": 1.3914949012617797,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 139.14949012617654,
            "geometricBound": 140.43439143419977,
            "residualBound": 139.14949012617785,
            "lower": [
              225.50143266475467,
              229.79942693409566
            ],
            "upper": [
              225.50143266475752,
              229.7994269340985
            ],
            "policyLower": [
              225.50143266475467,
              229.79942693409564
            ],
            "optimalUpper": [
              225.50143266475752,
              229.79942693409848
            ],
            "certifiedStop": false,
            "shifted": [
              101.62987352690132,
              105.9278677962423
            ],
            "shiftDifference": [
              15.277930988321657,
              15.277930988321643
            ],
            "shiftExpected": 15.277930988321625,
            "shiftDefect": [
              3.197442310920451e-14,
              1.7763568394002505e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.2387155913785506,
              1.2387155913785364
            ],
            "approximate": [
              90.24077014325091,
              94.53876441259189
            ],
            "approximateTV": [
              91.59337676846597,
              95.89137103780695
            ],
            "approximateDelta": [
              1.35260662521506,
              1.35260662521506
            ],
            "approximateResidual": 1.35260662521506,
            "approximateError": 135.2606625215053,
            "approximateBound": 144.32321903887112,
            "pathDistance": 3.888827604671249,
            "pathBound": 3.888827604671347,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.4526066252150542
          },
          {
            "k": 50,
            "value": [
              87.74343743984144,
              92.0414317091824
            ],
            "q": [
              [
                87.86600306544302,
                89.12101739209058
              ],
              [
                93.41901166143155,
                88.86600306544302
              ]
            ],
            "tv": [
              89.12101739209058,
              93.41901166143155
            ],
            "delta": [
              1.3775799522491354,
              1.3775799522491496
            ],
            "residual": 1.3775799522491496,
            "minDelta": 1.3775799522491354,
            "maxDelta": 1.3775799522491496,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 137.75799522491477,
            "geometricBound": 139.03004751985776,
            "residualBound": 137.75799522491485,
            "lower": [
              225.50143266475487,
              229.79942693409583
            ],
            "upper": [
              225.5014326647563,
              229.79942693409726
            ],
            "policyLower": [
              225.50143266475487,
              229.79942693409583
            ],
            "optimalUpper": [
              225.5014326647563,
              229.79942693409726
            ],
            "certifiedStop": false,
            "shifted": [
              102.86858911827987,
              107.16658338762083
            ],
            "shiftDifference": [
              15.125151678438428,
              15.125151678438428
            ],
            "shiftExpected": 15.125151678438408,
            "shiftDefect": [
              1.9539925233402755e-14,
              1.9539925233402755e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.226328435464751,
              1.2263284354647652
            ],
            "approximate": [
              91.69337676846597,
              95.99137103780694
            ],
            "approximateTV": [
              93.03145732742887,
              97.32945159676986
            ],
            "approximateDelta": [
              1.3380805589629006,
              1.3380805589629148
            ],
            "approximateResidual": 1.3380805589629148,
            "approximateError": 133.80805589629023,
            "approximateBound": 142.97998684848238,
            "pathDistance": 3.949939328624538,
            "pathBound": 3.9499393286246334,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.438080558962909
          },
          {
            "k": 51,
            "value": [
              89.12101739209058,
              93.41901166143155
            ],
            "q": [
              [
                89.22980721816967,
                90.48482154481724
              ],
              [
                94.7828158141582,
                90.22980721816967
              ]
            ],
            "tv": [
              90.48482154481724,
              94.7828158141582
            ],
            "delta": [
              1.363804152726658,
              1.3638041527266438
            ],
            "residual": 1.363804152726658,
            "minDelta": 1.3638041527266438,
            "maxDelta": 1.363804152726658,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 136.38041527266563,
            "geometricBound": 137.6397470446592,
            "residualBound": 136.3804152726657,
            "lower": [
              225.50143266475484,
              229.79942693409583
            ],
            "upper": [
              225.50143266475627,
              229.79942693409726
            ],
            "policyLower": [
              225.50143266475484,
              229.7994269340958
            ],
            "optimalUpper": [
              225.50143266475627,
              229.79942693409723
            ],
            "certifiedStop": false,
            "shifted": [
              104.09491755374462,
              108.3929118230856
            ],
            "shiftDifference": [
              14.973900161654043,
              14.973900161654043
            ],
            "shiftExpected": 14.973900161654024,
            "shiftDefect": [
              1.9539925233402755e-14,
              1.9539925233402755e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.2140651511101197,
              1.2140651511101197
            ],
            "approximate": [
              93.13145732742886,
              97.42945159676985
            ],
            "approximateTV": [
              94.45515708080215,
              98.75315135014311
            ],
            "approximateDelta": [
              1.3236997533732904,
              1.323699753373262
            ],
            "approximateResidual": 1.3236997533732904,
            "approximateError": 132.36997533732733,
            "approximateBound": 141.65018697999759,
            "pathDistance": 4.010439935338297,
            "pathBound": 4.010439935338387,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.4236997533732847
          },
          {
            "k": 52,
            "value": [
              90.48482154481724,
              94.7828158141582
            ],
            "q": [
              [
                90.57997332936907,
                91.83498765601662
              ],
              [
                96.1329819253576,
                91.57997332936907
              ]
            ],
            "tv": [
              91.83498765601662,
              96.1329819253576
            ],
            "delta": [
              1.3501661111993855,
              1.3501661111993997
            ],
            "residual": 1.3501661111993997,
            "minDelta": 1.3501661111993855,
            "maxDelta": 1.3501661111993997,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 135.01661111993897,
            "geometricBound": 136.2633495742126,
            "residualBound": 135.01661111993985,
            "lower": [
              225.50143266475567,
              229.79942693409663
            ],
            "upper": [
              225.5014326647571,
              229.79942693409805
            ],
            "policyLower": [
              225.50143266475567,
              229.79942693409666
            ],
            "optimalUpper": [
              225.5014326647571,
              229.79942693409805
            ],
            "certifiedStop": false,
            "shifted": [
              105.30898270485474,
              109.60697697419572
            ],
            "shiftDifference": [
              14.824161160037505,
              14.82416116003752
            ],
            "shiftExpected": 14.824161160037486,
            "shiftDefect": [
              1.9539925233402755e-14,
              3.375077994860476e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.2019244995990164,
              1.2019244995990022
            ],
            "approximate": [
              94.55515708080215,
              98.85315135014311
            ],
            "approximateTV": [
              95.86461983664168,
              100.16261410598266
            ],
            "approximateDelta": [
              1.309462755839533,
              1.3094627558395473
            ],
            "approximateResidual": 1.3094627558395473,
            "approximateError": 130.94627558395405,
            "approximateBound": 140.33368511019762,
            "pathDistance": 4.07033553598491,
            "pathBound": 4.070335535985002,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.4094627558395416
          },
          {
            "k": 53,
            "value": [
              91.83498765601662,
              96.1329819253576
            ],
            "q": [
              [
                91.91663777945645,
                93.17165210610402
              ],
              [
                97.469646375445,
                92.91663777945645
              ]
            ],
            "tv": [
              93.17165210610402,
              97.469646375445
            ],
            "delta": [
              1.3366644500873974,
              1.3366644500873974
            ],
            "residual": 1.3366644500873974,
            "minDelta": 1.3366644500873974,
            "maxDelta": 1.3366644500873974,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 133.66644500873957,
            "geometricBound": 134.90071607847048,
            "residualBound": 133.66644500873963,
            "lower": [
              225.50143266475624,
              229.79942693409723
            ],
            "upper": [
              225.50143266475624,
              229.79942693409723
            ],
            "policyLower": [
              225.50143266475624,
              229.79942693409723
            ],
            "optimalUpper": [
              225.50143266475624,
              229.79942693409723
            ],
            "certifiedStop": false,
            "shifted": [
              106.51090720445376,
              110.80890147379472
            ],
            "shiftDifference": [
              14.675919548437136,
              14.675919548437122
            ],
            "shiftExpected": 14.675919548437111,
            "shiftDefect": [
              2.4868995751603507e-14,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.189905254603019,
              1.1899052546030333
            ],
            "approximate": [
              95.96461983664167,
              100.26261410598265
            ],
            "approximateTV": [
              97.25998796492283,
              101.55798223426379
            ],
            "approximateDelta": [
              1.2953681282811544,
              1.2953681282811402
            ],
            "approximateResidual": 1.2953681282811544,
            "approximateError": 129.53681282811453,
            "approximateBound": 139.03034825909563,
            "pathDistance": 4.129632180625052,
            "pathBound": 4.129632180625152,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3953681282811488
          },
          {
            "k": 54,
            "value": [
              93.17165210610402,
              97.469646375445
            ],
            "q": [
              [
                93.23993558504299,
                94.49494991169054
              ],
              [
                98.79294418103153,
                94.23993558504299
              ]
            ],
            "tv": [
              94.49494991169054,
              98.79294418103153
            ],
            "delta": [
              1.3232978055865203,
              1.3232978055865345
            ],
            "residual": 1.3232978055865345,
            "minDelta": 1.3232978055865203,
            "maxDelta": 1.3232978055865345,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 132.3297805586522,
            "geometricBound": 133.55170891768577,
            "residualBound": 132.32978055865334,
            "lower": [
              225.50143266475595,
              229.7994269340969
            ],
            "upper": [
              225.50143266475737,
              229.79942693409834
            ],
            "policyLower": [
              225.5014326647559,
              229.7994269340969
            ],
            "optimalUpper": [
              225.50143266475732,
              229.79942693409834
            ],
            "certifiedStop": false,
            "shifted": [
              107.70081245905678,
              111.99880672839775
            ],
            "shiftDifference": [
              14.529160352952758,
              14.529160352952758
            ],
            "shiftExpected": 14.529160352952738,
            "shiftDefect": [
              1.9539925233402755e-14,
              1.9539925233402755e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.1780062020569915,
              1.1780062020570057
            ],
            "approximate": [
              97.35998796492282,
              101.65798223426378
            ],
            "approximateTV": [
              98.64140241192115,
              102.93939668126212
            ],
            "approximateDelta": [
              1.2814144469983262,
              1.2814144469983404
            ],
            "approximateResidual": 1.2814144469983404,
            "approximateError": 128.1414446998334,
            "approximateBound": 137.74004477650467,
            "pathDistance": 4.188335858818803,
            "pathBound": 4.188335858818902,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3814144469983347
          },
          {
            "k": 55,
            "value": [
              94.49494991169054,
              98.79294418103153
            ],
            "q": [
              [
                94.55000041257364,
                95.8050147392212
              ],
              [
                100.10300900856218,
                95.55000041257364
              ]
            ],
            "tv": [
              95.8050147392212,
              100.10300900856218
            ],
            "delta": [
              1.3100648275306668,
              1.3100648275306526
            ],
            "residual": 1.3100648275306668,
            "minDelta": 1.3100648275306526,
            "maxDelta": 1.3100648275306668,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 131.00648275306565,
            "geometricBound": 132.21619182850893,
            "residualBound": 131.00648275306656,
            "lower": [
              225.50143266475567,
              229.7994269340967
            ],
            "upper": [
              225.5014326647571,
              229.7994269340981
            ],
            "policyLower": [
              225.5014326647557,
              229.7994269340967
            ],
            "optimalUpper": [
              225.5014326647571,
              229.79942693409805
            ],
            "certifiedStop": false,
            "shifted": [
              108.87881866111377,
              113.17681293045476
            ],
            "shiftDifference": [
              14.383868749423229,
              14.383868749423229
            ],
            "shiftExpected": 14.383868749423211,
            "shiftDefect": [
              1.7763568394002505e-14,
              1.7763568394002505e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.1662261400364429,
              1.1662261400364144
            ],
            "approximate": [
              98.74140241192114,
              103.03939668126212
            ],
            "approximateTV": [
              100.0090027144495,
              104.30699698379047
            ],
            "approximateDelta": [
              1.2676003025283507,
              1.2676003025283507
            ],
            "approximateResidual": 1.2676003025283507,
            "approximateError": 126.76003025283507,
            "approximateBound": 136.46264432873963,
            "pathDistance": 4.246452500230603,
            "pathBound": 4.246452500230712,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.367600302528345
          },
          {
            "k": 56,
            "value": [
              95.8050147392212,
              100.10300900856218
            ],
            "q": [
              [
                95.84696459182899,
                97.10197891847656
              ],
              [
                101.39997318781752,
                96.84696459182899
              ]
            ],
            "tv": [
              97.10197891847656,
              101.39997318781752
            ],
            "delta": [
              1.2969641792553546,
              1.2969641792553404
            ],
            "residual": 1.2969641792553546,
            "minDelta": 1.2969641792553404,
            "maxDelta": 1.2969641792553546,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 129.696417925535,
            "geometricBound": 130.89402991022382,
            "residualBound": 129.69641792553534,
            "lower": [
              225.50143266475513,
              229.79942693409612
            ],
            "upper": [
              225.50143266475655,
              229.79942693409754
            ],
            "policyLower": [
              225.50143266475516,
              229.79942693409612
            ],
            "optimalUpper": [
              225.50143266475655,
              229.7994269340975
            ],
            "certifiedStop": false,
            "shifted": [
              110.04504480115021,
              114.34303907049117
            ],
            "shiftDifference": [
              14.240030061929005,
              14.24003006192899
            ],
            "shiftExpected": 14.24003006192898,
            "shiftDefect": [
              2.4868995751603507e-14,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.1545638786360541,
              1.1545638786360826
            ],
            "approximate": [
              100.10900271444949,
              104.40699698379046
            ],
            "approximateTV": [
              101.36292701395256,
              105.66092128329353
            ],
            "approximateDelta": [
              1.253924299503069,
              1.253924299503069
            ],
            "approximateResidual": 1.253924299503069,
            "approximateError": 125.39242995030672,
            "approximateBound": 135.19801788545223,
            "pathDistance": 4.3039879752282815,
            "pathBound": 4.303987975228405,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3539242995030634
          },
          {
            "k": 57,
            "value": [
              97.10197891847656,
              101.39997318781752
            ],
            "q": [
              [
                97.1309591292918,
                98.38597345593935
              ],
              [
                102.68396772528033,
                98.1309591292918
              ]
            ],
            "tv": [
              98.38597345593935,
              102.68396772528033
            ],
            "delta": [
              1.2839945374627888,
              1.283994537462803
            ],
            "residual": 1.283994537462803,
            "minDelta": 1.2839945374627888,
            "maxDelta": 1.283994537462803,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 128.39945374627965,
            "geometricBound": 129.58508961112156,
            "residualBound": 128.3994537462802,
            "lower": [
              225.50143266475533,
              229.7994269340963
            ],
            "upper": [
              225.50143266475675,
              229.7994269340977
            ],
            "policyLower": [
              225.50143266475533,
              229.7994269340963
            ],
            "optimalUpper": [
              225.50143266475675,
              229.7994269340977
            ],
            "certifiedStop": false,
            "shifted": [
              111.19960867978627,
              115.49760294912726
            ],
            "shiftDifference": [
              14.097629761309705,
              14.097629761309733
            ],
            "shiftExpected": 14.097629761309689,
            "shiftDefect": [
              1.5987211554602254e-14,
              4.440892098500626e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.1430182398497095,
              1.1430182398496953
            ],
            "approximate": [
              101.46292701395255,
              105.76092128329353
            ],
            "approximateTV": [
              102.7033120704606,
              107.00130633980157
            ],
            "approximateDelta": [
              1.240385056508046,
              1.240385056508046
            ],
            "approximateResidual": 1.240385056508046,
            "approximateError": 124.03850565080366,
            "approximateBound": 133.94603770659768,
            "pathDistance": 4.3609480954760045,
            "pathBound": 4.360948095476121,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3403850565080404
          },
          {
            "k": 58,
            "value": [
              98.38597345593935,
              102.68396772528033
            ],
            "q": [
              [
                98.40211372137996,
                99.65712804802752
              ],
              [
                103.9551223173685,
                99.40211372137996
              ]
            ],
            "tv": [
              99.65712804802752,
              103.9551223173685
            ],
            "delta": [
              1.2711545920881662,
              1.2711545920881804
            ],
            "residual": 1.2711545920881804,
            "minDelta": 1.2711545920881662,
            "maxDelta": 1.2711545920881804,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 127.11545920881686,
            "geometricBound": 128.28923871501036,
            "residualBound": 127.11545920881792,
            "lower": [
              225.50143266475584,
              229.79942693409683
            ],
            "upper": [
              225.50143266475726,
              229.79942693409825
            ],
            "policyLower": [
              225.50143266475584,
              229.79942693409686
            ],
            "optimalUpper": [
              225.50143266475726,
              229.79942693409828
            ],
            "certifiedStop": false,
            "shifted": [
              112.34262691963598,
              116.64062118897695
            ],
            "shiftDifference": [
              13.956653463696625,
              13.956653463696625
            ],
            "shiftExpected": 13.956653463696592,
            "shiftDefect": [
              3.375077994860476e-14,
              3.375077994860476e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.1315880574512107,
              1.1315880574512107
            ],
            "approximate": [
              102.80331207046059,
              107.10130633980157
            ],
            "approximateTV": [
              104.03029327640355,
              108.32828754574453
            ],
            "approximateDelta": [
              1.2269812059429626,
              1.2269812059429626
            ],
            "approximateResidual": 1.2269812059429626,
            "approximateError": 122.69812059429562,
            "approximateBound": 132.7065773295317,
            "pathDistance": 4.417338614521242,
            "pathBound": 4.417338614521359,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3269812059429569
          },
          {
            "k": 59,
            "value": [
              99.65712804802752,
              103.9551223173685
            ],
            "q": [
              [
                99.66055676754723,
                100.91557109419482
              ],
              [
                105.21356536353578,
                100.66055676754723
              ]
            ],
            "tv": [
              100.91557109419482,
              105.21356536353578
            ],
            "delta": [
              1.2584430461673008,
              1.2584430461672724
            ],
            "residual": 1.2584430461673008,
            "minDelta": 1.2584430461672724,
            "maxDelta": 1.2584430461673008,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 125.84430461672869,
            "geometricBound": 127.00634632786027,
            "residualBound": 125.84430461672997,
            "lower": [
              225.50143266475465,
              229.79942693409564
            ],
            "upper": [
              225.5014326647575,
              229.79942693409848
            ],
            "policyLower": [
              225.5014326647547,
              229.79942693409566
            ],
            "optimalUpper": [
              225.5014326647575,
              229.79942693409845
            ],
            "certifiedStop": false,
            "shifted": [
              113.47421497708719,
              117.77220924642816
            ],
            "shiftDifference": [
              13.81708692905967,
              13.817086929059656
            ],
            "shiftExpected": 13.817086929059627,
            "shiftDefect": [
              4.263256414560601e-14,
              2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.1202721768766963,
              1.1202721768766963
            ],
            "approximate": [
              104.13029327640355,
              108.42828754574452
            ],
            "approximateTV": [
              105.34400467028708,
              109.64199893962805
            ],
            "approximateDelta": [
              1.2137113938835284,
              1.2137113938835284
            ],
            "approximateResidual": 1.2137113938835284,
            "approximateError": 121.37113938835266,
            "approximateBound": 131.47951155623642,
            "pathDistance": 4.473165228376033,
            "pathBound": 4.473165228376145,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3137113938835228
          },
          {
            "k": 60,
            "value": [
              100.91557109419482,
              105.21356536353578
            ],
            "q": [
              [
                100.90641538325286,
                102.16142970990042
              ],
              [
                106.4594239792414,
                101.90641538325286
              ]
            ],
            "tv": [
              102.16142970990042,
              106.4594239792414
            ],
            "delta": [
              1.2458586157056004,
              1.2458586157056146
            ],
            "residual": 1.2458586157056146,
            "minDelta": 1.2458586157056004,
            "maxDelta": 1.2458586157056146,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 124.58586157056139,
            "geometricBound": 125.73628286458167,
            "residualBound": 124.58586157056135,
            "lower": [
              225.50143266475476,
              229.79942693409572
            ],
            "upper": [
              225.50143266475618,
              229.79942693409714
            ],
            "policyLower": [
              225.50143266475476,
              229.79942693409572
            ],
            "optimalUpper": [
              225.50143266475618,
              229.79942693409714
            ],
            "certifiedStop": false,
            "shifted": [
              114.59448715396388,
              118.89248142330486
            ],
            "shiftDifference": [
              13.678916059769065,
              13.67891605976908
            ],
            "shiftExpected": 13.67891605976903,
            "shiftDefect": [
              3.552713678800501e-14,
              4.973799150320701e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.109069455107928,
              1.1090694551079139
            ],
            "approximate": [
              105.44400467028707,
              109.74199893962805
            ],
            "approximateTV": [
              106.64457895023176,
              110.94257321957275
            ],
            "approximateDelta": [
              1.2005742799446892,
              1.2005742799447034
            ],
            "approximateResidual": 1.2005742799447034,
            "approximateError": 120.05742799446914,
            "approximateBound": 130.26471644067405,
            "pathDistance": 4.528433576092269,
            "pathBound": 4.528433576092384,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3005742799446978
          },
          {
            "k": 61,
            "value": [
              102.16142970990042,
              106.4594239792414
            ],
            "q": [
              [
                102.13981541280141,
                103.39482973944898
              ],
              [
                107.69282400878996,
                103.13981541280141
              ]
            ],
            "tv": [
              103.39482973944898,
              107.69282400878996
            ],
            "delta": [
              1.2334000295485623,
              1.2334000295485623
            ],
            "residual": 1.2334000295485623,
            "minDelta": 1.2334000295485623,
            "maxDelta": 1.2334000295485623,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 123.34000295485579,
            "geometricBound": 124.47892003593584,
            "residualBound": 123.34000295485612,
            "lower": [
              225.50143266475652,
              229.7994269340975
            ],
            "upper": [
              225.50143266475652,
              229.7994269340975
            ],
            "policyLower": [
              225.50143266475652,
              229.7994269340975
            ],
            "optimalUpper": [
              225.50143266475652,
              229.7994269340975
            ],
            "certifiedStop": false,
            "shifted": [
              115.70355660907181,
              120.00155087841277
            ],
            "shiftDifference": [
              13.542126899171393,
              13.542126899171379
            ],
            "shiftExpected": 13.54212689917134,
            "shiftDefect": [
              5.3290705182007514e-14,
              3.907985046680551e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.0979787605568276,
              1.097978760556856
            ],
            "approximate": [
              106.74457895023176,
              111.04257321957274
            ],
            "approximateTV": [
              107.93214748737702,
              112.230141756718
            ],
            "approximateDelta": [
              1.1875685371452676,
              1.1875685371452533
            ],
            "approximateResidual": 1.1875685371452676,
            "approximateError": 118.75685371452445,
            "approximateBound": 129.0620692762673,
            "pathDistance": 4.583149240331352,
            "pathBound": 4.583149240331461,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.2875685371452619
          },
          {
            "k": 62,
            "value": [
              103.39482973944898,
              107.69282400878996
            ],
            "q": [
              [
                103.36088144205449,
                104.61589576870206
              ],
              [
                108.91389003804304,
                104.36088144205449
              ]
            ],
            "tv": [
              104.61589576870206,
              108.91389003804304
            ],
            "delta": [
              1.2210660292530804,
              1.2210660292530804
            ],
            "residual": 1.2210660292530804,
            "minDelta": 1.2210660292530804,
            "maxDelta": 1.2210660292530804,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 122.10660292530723,
            "geometricBound": 123.23413083557647,
            "residualBound": 122.10660292530793,
            "lower": [
              225.50143266475692,
              229.79942693409788
            ],
            "upper": [
              225.50143266475692,
              229.79942693409788
            ],
            "policyLower": [
              225.50143266475692,
              229.79942693409788
            ],
            "optimalUpper": [
              225.50143266475692,
              229.79942693409788
            ],
            "certifiedStop": false,
            "shifted": [
              116.80153536962864,
              121.09952963896963
            ],
            "shiftDifference": [
              13.406705630179658,
              13.406705630179673
            ],
            "shiftExpected": 13.406705630179625,
            "shiftDefect": [
              3.375077994860476e-14,
              4.796163466380676e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.0869989729512923,
              1.086998972951264
            ],
            "approximate": [
              108.03214748737702,
              112.33014175671799
            ],
            "approximateTV": [
              109.20684033915082,
              113.50483460849178
            ],
            "approximateDelta": [
              1.1746928517737985,
              1.1746928517737842
            ],
            "approximateResidual": 1.1746928517737985,
            "approximateError": 117.46928517737919,
            "approximateBound": 127.87144858350462,
            "pathDistance": 4.637317747928037,
            "pathBound": 4.637317747928146,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.2746928517737928
          },
          {
            "k": 63,
            "value": [
              104.61589576870206,
              108.91389003804304
            ],
            "q": [
              [
                104.56973681101503,
                105.8247511376626
              ],
              [
                110.12274540700358,
                105.56973681101503
              ]
            ],
            "tv": [
              105.8247511376626,
              110.12274540700358
            ],
            "delta": [
              1.208855368960542,
              1.208855368960542
            ],
            "residual": 1.208855368960542,
            "minDelta": 1.208855368960542,
            "maxDelta": 1.208855368960542,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 120.88553689605415,
            "geometricBound": 122.00178952722071,
            "residualBound": 120.88553689605408,
            "lower": [
              225.50143266475612,
              229.7994269340971
            ],
            "upper": [
              225.50143266475612,
              229.7994269340971
            ],
            "policyLower": [
              225.50143266475615,
              229.79942693409714
            ],
            "optimalUpper": [
              225.50143266475615,
              229.79942693409714
            ],
            "certifiedStop": false,
            "shifted": [
              117.88853434257993,
              122.18652861192089
            ],
            "shiftDifference": [
              13.27263857387787,
              13.272638573877856
            ],
            "shiftExpected": 13.27263857387783,
            "shiftDefect": [
              4.085620730620576e-14,
              2.6645352591003757e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.07612898322175,
              1.0761289832217642
            ],
            "approximate": [
              109.30684033915081,
              113.60483460849177
            ],
            "approximateTV": [
              110.46878626240685,
              114.76678053174783
            ],
            "approximateDelta": [
              1.1619459232560416,
              1.1619459232560558
            ],
            "approximateResidual": 1.1619459232560558,
            "approximateError": 116.1945923256054,
            "approximateBound": 126.69273409766957,
            "pathDistance": 4.69094457044875,
            "pathBound": 4.690944570448864,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.2619459232560502
          },
          {
            "k": 64,
            "value": [
              105.8247511376626,
              110.12274540700358
            ],
            "q": [
              [
                105.76650362628598,
                107.02151795293354
              ],
              [
                111.31951222227453,
                106.76650362628598
              ]
            ],
            "tv": [
              107.02151795293354,
              111.31951222227453
            ],
            "delta": [
              1.1967668152709336,
              1.1967668152709479
            ],
            "residual": 1.1967668152709479,
            "minDelta": 1.1967668152709336,
            "maxDelta": 1.1967668152709479,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 119.6766815270936,
            "geometricBound": 120.7817716319485,
            "residualBound": 119.67668152709469,
            "lower": [
              225.50143266475587,
              229.79942693409686
            ],
            "upper": [
              225.5014326647573,
              229.79942693409828
            ],
            "policyLower": [
              225.50143266475584,
              229.79942693409686
            ],
            "optimalUpper": [
              225.50143266475726,
              229.79942693409828
            ],
            "certifiedStop": false,
            "shifted": [
              118.96466332580168,
              123.26265759514266
            ],
            "shiftDifference": [
              13.139912188139078,
              13.139912188139078
            ],
            "shiftExpected": 13.13991218813905,
            "shiftDefect": [
              2.842170943040401e-14,
              2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.0653676933895468,
              1.0653676933895326
            ],
            "approximate": [
              110.56878626240685,
              114.86678053174782
            ],
            "approximateTV": [
              111.71811272643035,
              116.01610699577132
            ],
            "approximateDelta": [
              1.1493264640235026,
              1.1493264640235026
            ],
            "approximateResidual": 1.1493264640235026,
            "approximateError": 114.93264640234936,
            "approximateBound": 125.52580675669287,
            "pathDistance": 4.744035124744244,
            "pathBound": 4.744035124744376,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.249326464023497
          },
          {
            "k": 65,
            "value": [
              107.02151795293354,
              111.31951222227453
            ],
            "q": [
              [
                106.9513027734042,
                108.20631710005178
              ],
              [
                112.50431136939274,
                107.9513027734042
              ]
            ],
            "tv": [
              108.20631710005178,
              112.50431136939274
            ],
            "delta": [
              1.184799147118241,
              1.1847991471182127
            ],
            "residual": 1.184799147118241,
            "minDelta": 1.1847991471182127,
            "maxDelta": 1.184799147118241,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 118.47991471182267,
            "geometricBound": 119.57395391562902,
            "residualBound": 118.47991471182401,
            "lower": [
              225.5014326647547,
              229.7994269340957
            ],
            "upper": [
              225.50143266475754,
              229.79942693409853
            ],
            "policyLower": [
              225.5014326647547,
              229.79942693409566
            ],
            "optimalUpper": [
              225.50143266475754,
              229.7994269340985
            ],
            "certifiedStop": false,
            "shifted": [
              120.03003101919123,
              124.32802528853219
            ],
            "shiftDifference": [
              13.008513066257692,
              13.008513066257663
            ],
            "shiftExpected": 13.00851306625766,
            "shiftDefect": [
              3.197442310920451e-14,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.054714016455634,
              1.0547140164556623
            ],
            "approximate": [
              111.81811272643034,
              116.11610699577132
            ],
            "approximateTV": [
              112.9549459258136,
              117.25294019515458
            ],
            "approximateDelta": [
              1.1368331993832612,
              1.1368331993832612
            ],
            "approximateResidual": 1.1368331993832612,
            "approximateError": 113.68331993832587,
            "approximateBound": 124.37054868912595,
            "pathDistance": 4.796594773496807,
            "pathBound": 4.796594773496932,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.2368331993832555
          },
          {
            "k": 66,
            "value": [
              108.20631710005178,
              112.50431136939274
            ],
            "q": [
              [
                108.12425392905126,
                109.3792682556988
              ],
              [
                113.67726252503981,
                109.12425392905126
              ]
            ],
            "tv": [
              109.3792682556988,
              113.67726252503981
            ],
            "delta": [
              1.1729511556470271,
              1.1729511556470698
            ],
            "residual": 1.1729511556470698,
            "minDelta": 1.1729511556470271,
            "maxDelta": 1.1729511556470698,
            "spanDelta": 4.263256414560601e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 4.220623850414991e-12,
            "error": 117.29511556470443,
            "geometricBound": 118.37821437647273,
            "residualBound": 117.29511556470688,
            "lower": [
              225.5014326647544,
              229.79942693409535
            ],
            "upper": [
              225.50143266475865,
              229.7994269340996
            ],
            "policyLower": [
              225.5014326647544,
              229.79942693409538
            ],
            "optimalUpper": [
              225.50143266475862,
              229.7994269340996
            ],
            "certifiedStop": false,
            "shifted": [
              121.08474503564686,
              125.38273930498785
            ],
            "shiftDifference": [
              12.878427935595084,
              12.878427935595113
            ],
            "shiftExpected": 12.878427935595083,
            "shiftDefect": [
              1.7763568394002505e-15,
              3.019806626980426e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.044166876291115,
              1.0441668762910865
            ],
            "approximate": [
              113.0549459258136,
              117.35294019515457
            ],
            "approximateTV": [
              114.17941079320303,
              118.47740506254401
            ],
            "approximateDelta": [
              1.1244648673894346,
              1.1244648673894346
            ],
            "approximateResidual": 1.1244648673894346,
            "approximateError": 112.44648673894261,
            "approximateBound": 123.22684320223469,
            "pathDistance": 4.8486288257618355,
            "pathBound": 4.848628825761963,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.224464867389429
          },
          {
            "k": 67,
            "value": [
              109.3792682556988,
              113.67726252503981
            ],
            "q": [
              [
                109.28547557314181,
                110.5404898997894
              ],
              [
                114.83848416913037,
                110.28547557314181
              ]
            ],
            "tv": [
              110.5404898997894,
              114.83848416913037
            ],
            "delta": [
              1.1612216440906025,
              1.1612216440905598
            ],
            "residual": 1.1612216440906025,
            "minDelta": 1.1612216440905598,
            "maxDelta": 1.1612216440906025,
            "spanDelta": 4.263256414560601e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 4.220623850414991e-12,
            "error": 116.1221644090574,
            "geometricBound": 117.194432232708,
            "residualBound": 116.12216440906015,
            "lower": [
              225.5014326647547,
              229.7994269340957
            ],
            "upper": [
              225.50143266475897,
              229.79942693409996
            ],
            "policyLower": [
              225.50143266475473,
              229.7994269340957
            ],
            "optimalUpper": [
              225.50143266475897,
              229.79942693409993
            ],
            "certifiedStop": false,
            "shifted": [
              122.12891191193798,
              126.42690618127894
            ],
            "shiftDifference": [
              12.749643656239172,
              12.74964365623913
            ],
            "shiftExpected": 12.749643656239131,
            "shiftDefect": [
              4.085620730620576e-14,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.033725207528164,
              1.0337252075281924
            ],
            "approximate": [
              114.27941079320303,
              118.577405062544
            ],
            "approximateTV": [
              115.39163101191856,
              119.68962528125952
            ],
            "approximateDelta": [
              1.1122202187155352,
              1.112220218715521
            ],
            "approximateResidual": 1.1122202187155352,
            "approximateError": 111.22202187155318,
            "approximateBound": 122.09457477021235,
            "pathDistance": 4.900142537504223,
            "pathBound": 4.900142537504344,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.2122202187155295
          },
          {
            "k": 68,
            "value": [
              110.5404898997894,
              114.83848416913037
            ],
            "q": [
              [
                110.43508500079152,
                111.69009932743906
              ],
              [
                115.98809359678005,
                111.43508500079152
              ]
            ],
            "tv": [
              111.69009932743906,
              115.98809359678005
            ],
            "delta": [
              1.1496094276496507,
              1.149609427649679
            ],
            "residual": 1.149609427649679,
            "minDelta": 1.1496094276496507,
            "maxDelta": 1.149609427649679,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 114.9609427649668,
            "geometricBound": 116.02248791038092,
            "residualBound": 114.96094276496781,
            "lower": [
              225.50143266475436,
              229.79942693409532
            ],
            "upper": [
              225.5014326647572,
              229.79942693409816
            ],
            "policyLower": [
              225.50143266475436,
              229.79942693409538
            ],
            "optimalUpper": [
              225.5014326647572,
              229.79942693409816
            ],
            "certifiedStop": false,
            "shifted": [
              123.16263711946614,
              127.46063138880713
            ],
            "shiftDifference": [
              12.622147219676734,
              12.622147219676762
            ],
            "shiftExpected": 12.62214721967674,
            "shiftDefect": [
              -7.105427357601002e-15,
              2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.0233879554529182,
              1.0233879554528897
            ],
            "approximate": [
              115.49163101191856,
              119.78962528125952
            ],
            "approximateTV": [
              116.59172902844692,
              120.88972329778791
            ],
            "approximateDelta": [
              1.1000980165283636,
              1.100098016528392
            ],
            "approximateResidual": 1.100098016528392,
            "approximateError": 110.00980165283765,
            "approximateBound": 120.97362902251021,
            "pathDistance": 4.95114111212915,
            "pathBound": 4.951141112129299,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.2000980165283863
          },
          {
            "k": 69,
            "value": [
              111.69009932743906,
              115.98809359678005
            ],
            "q": [
              [
                111.57319833416467,
                112.82821266081224
              ],
              [
                117.12620693015322,
                112.57319833416467
              ]
            ],
            "tv": [
              112.82821266081224,
              117.12620693015322
            ],
            "delta": [
              1.1381133333731839,
              1.1381133333731697
            ],
            "residual": 1.1381133333731839,
            "minDelta": 1.1381133333731697,
            "maxDelta": 1.1381133333731839,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 113.81133333731715,
            "geometricBound": 114.86226303127711,
            "residualBound": 113.81133333731829,
            "lower": [
              225.50143266475592,
              229.7994269340969
            ],
            "upper": [
              225.50143266475735,
              229.79942693409834
            ],
            "policyLower": [
              225.50143266475595,
              229.7994269340969
            ],
            "optimalUpper": [
              225.50143266475732,
              229.7994269340983
            ],
            "certifiedStop": false,
            "shifted": [
              124.18602507491906,
              128.48401934426002
            ],
            "shiftDifference": [
              12.495925747480001,
              12.495925747479973
            ],
            "shiftExpected": 12.495925747479973,
            "shiftDefect": [
              2.842170943040401e-14,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.0131540758983562,
              1.0131540758983704
            ],
            "approximate": [
              116.69172902844691,
              120.9897232977879
            ],
            "approximateTV": [
              117.77982606481002,
              122.07782033415099
            ],
            "approximateDelta": [
              1.0880970363631093,
              1.0880970363630809
            ],
            "approximateResidual": 1.0880970363631093,
            "approximateError": 108.8097036363093,
            "approximateBound": 119.86389273228511,
            "pathDistance": 5.001629701007857,
            "pathBound": 5.001629701008007,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1880970363631036
          },
          {
            "k": 70,
            "value": [
              112.82821266081224,
              117.12620693015322
            ],
            "q": [
              [
                112.69993053420411,
                113.95494486085168
              ],
              [
                118.25293913019266,
                113.69993053420411
              ]
            ],
            "tv": [
              113.95494486085168,
              118.25293913019266
            ],
            "delta": [
              1.1267322000394415,
              1.1267322000394415
            ],
            "residual": 1.1267322000394415,
            "minDelta": 1.1267322000394415,
            "maxDelta": 1.1267322000394415,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 112.67322000394397,
            "geometricBound": 113.71364040096434,
            "residualBound": 112.67322000394405,
            "lower": [
              225.5014326647563,
              229.79942693409726
            ],
            "upper": [
              225.5014326647563,
              229.79942693409726
            ],
            "policyLower": [
              225.5014326647563,
              229.79942693409726
            ],
            "optimalUpper": [
              225.5014326647563,
              229.79942693409726
            ],
            "certifiedStop": false,
            "shifted": [
              125.19917915081741,
              129.4971734201584
            ],
            "shiftDifference": [
              12.370966490005173,
              12.370966490005173
            ],
            "shiftExpected": 12.370966490005173,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.0030225351393796,
              1.0030225351393938
            ],
            "approximate": [
              117.87982606481002,
              122.17782033415098
            ],
            "approximateTV": [
              118.95604213080946,
              123.25403640015045
            ],
            "approximateDelta": [
              1.0762160659994464,
              1.0762160659994748
            ],
            "approximateResidual": 1.0762160659994748,
            "approximateError": 107.62160659994619,
            "approximateBound": 118.76525380496227,
            "pathDistance": 5.051613403997777,
            "pathBound": 5.051613403997926,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1762160659994692
          },
          {
            "k": 71,
            "value": [
              113.95494486085168,
              118.25293913019266
            ],
            "q": [
              [
                113.81539541224316,
                115.07040973889073
              ],
              [
                119.3684040082317,
                114.81539541224316
              ]
            ],
            "tv": [
              115.07040973889073,
              119.3684040082317
            ],
            "delta": [
              1.1154648780390488,
              1.1154648780390488
            ],
            "residual": 1.1154648780390488,
            "minDelta": 1.1154648780390488,
            "maxDelta": 1.1154648780390488,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 111.54648780390453,
            "geometricBound": 112.5765039969547,
            "residualBound": 111.54648780390478,
            "lower": [
              225.50143266475646,
              229.79942693409743
            ],
            "upper": [
              225.50143266475646,
              229.79942693409743
            ],
            "policyLower": [
              225.50143266475646,
              229.79942693409745
            ],
            "optimalUpper": [
              225.50143266475646,
              229.79942693409745
            ],
            "certifiedStop": false,
            "shifted": [
              126.2022016859568,
              130.50019595529778
            ],
            "shiftDifference": [
              12.247256825105111,
              12.247256825105126
            ],
            "shiftExpected": 12.247256825105122,
            "shiftDefect": [
              -1.0658141036401503e-14,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9929923097880078,
              0.9929923097880078
            ],
            "approximate": [
              119.05604213080946,
              123.35403640015045
            ],
            "approximateTV": [
              120.12049603614895,
              124.41849030548993
            ],
            "approximateDelta": [
              1.0644539053394908,
              1.0644539053394766
            ],
            "approximateResidual": 1.0644539053394908,
            "approximateError": 106.44539053394675,
            "approximateBound": 117.67760126691265,
            "pathDistance": 5.101097269957791,
            "pathBound": 5.101097269957947,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1644539053394851
          },
          {
            "k": 72,
            "value": [
              115.07040973889073,
              119.3684040082317
            ],
            "q": [
              [
                114.91970564150182,
                116.17471996814939
              ],
              [
                120.47271423749035,
                115.91970564150182
              ]
            ],
            "tv": [
              116.17471996814939,
              120.47271423749035
            ],
            "delta": [
              1.1043102292586582,
              1.104310229258644
            ],
            "residual": 1.1043102292586582,
            "minDelta": 1.104310229258644,
            "maxDelta": 1.1043102292586582,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 110.43102292586548,
            "geometricBound": 111.45073895698515,
            "residualBound": 110.43102292586572,
            "lower": [
              225.50143266475504,
              229.799426934096
            ],
            "upper": [
              225.50143266475646,
              229.79942693409743
            ],
            "policyLower": [
              225.50143266475504,
              229.799426934096
            ],
            "optimalUpper": [
              225.50143266475646,
              229.79942693409743
            ],
            "certifiedStop": false,
            "shifted": [
              127.1951939957448,
              131.4931882650858
            ],
            "shiftDifference": [
              12.12478425685407,
              12.124784256854085
            ],
            "shiftExpected": 12.12478425685407,
            "shiftDefect": [
              0,
              1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9830623866901362,
              0.9830623866901078
            ],
            "approximate": [
              120.22049603614894,
              124.51849030548992
            ],
            "approximateTV": [
              121.27330540243501,
              125.571299671776
            ],
            "approximateDelta": [
              1.0528093662860698,
              1.052809366286084
            ],
            "approximateResidual": 1.052809366286084,
            "approximateError": 105.28093662860726,
            "approximateBound": 116.60082525424352,
            "pathDistance": 5.150086297258213,
            "pathBound": 5.150086297258367,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1528093662860783
          },
          {
            "k": 73,
            "value": [
              116.17471996814939,
              120.47271423749035
            ],
            "q": [
              [
                116.01297276846789,
                117.26798709511544
              ],
              [
                121.56598136445642,
                117.01297276846789
              ]
            ],
            "tv": [
              117.26798709511544,
              121.56598136445642
            ],
            "delta": [
              1.0932671269660545,
              1.0932671269660688
            ],
            "residual": 1.0932671269660688,
            "minDelta": 1.0932671269660545,
            "maxDelta": 1.0932671269660688,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 109.32671269660682,
            "geometricBound": 110.3362315674153,
            "residualBound": 109.32671269660678,
            "lower": [
              225.50143266475476,
              229.79942693409572
            ],
            "upper": [
              225.50143266475618,
              229.79942693409714
            ],
            "policyLower": [
              225.50143266475476,
              229.79942693409572
            ],
            "optimalUpper": [
              225.50143266475615,
              229.79942693409714
            ],
            "certifiedStop": false,
            "shifted": [
              128.17825638243494,
              132.4762506517759
            ],
            "shiftDifference": [
              12.003536414285549,
              12.003536414285549
            ],
            "shiftExpected": 12.00353641428553,
            "shiftDefect": [
              1.7763568394002505e-14,
              1.7763568394002505e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9732317628231897,
              0.9732317628232181
            ],
            "approximate": [
              121.37330540243501,
              125.671299671776
            ],
            "approximateTV": [
              122.41458667505823,
              126.7125809443992
            ],
            "approximateDelta": [
              1.0412812726232232,
              1.041281272623209
            ],
            "approximateResidual": 1.0412812726232232,
            "approximateError": 104.1281272623212,
            "approximateBound": 115.53481700170109,
            "pathDistance": 5.198585434285647,
            "pathBound": 5.198585434285783,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1412812726232175
          },
          {
            "k": 74,
            "value": [
              117.26798709511544,
              121.56598136445642
            ],
            "q": [
              [
                117.09530722416429,
                118.35032155081186
              ],
              [
                122.64831582015283,
                118.09530722416429
              ]
            ],
            "tv": [
              118.35032155081186,
              122.64831582015283
            ],
            "delta": [
              1.0823344556964116,
              1.0823344556964116
            ],
            "residual": 1.0823344556964116,
            "minDelta": 1.0823344556964116,
            "maxDelta": 1.0823344556964116,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 108.23344556964076,
            "geometricBound": 109.23286925174114,
            "residualBound": 108.23344556964106,
            "lower": [
              225.50143266475652,
              229.79942693409748
            ],
            "upper": [
              225.50143266475652,
              229.79942693409748
            ],
            "policyLower": [
              225.50143266475652,
              229.79942693409748
            ],
            "optimalUpper": [
              225.50143266475652,
              229.79942693409748
            ],
            "certifiedStop": false,
            "shifted": [
              129.15148814525813,
              133.44948241459912
            ],
            "shiftDifference": [
              11.883501050142684,
              11.883501050142698
            ],
            "shiftExpected": 11.883501050142673,
            "shiftDefect": [
              1.0658141036401503e-14,
              2.4868995751603507e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9634994451949979,
              0.9634994451949979
            ],
            "approximate": [
              122.51458667505823,
              126.8125809443992
            ],
            "approximateTV": [
              123.54445513495521,
              127.84244940429618
            ],
            "approximateDelta": [
              1.0298684598969885,
              1.0298684598969743
            ],
            "approximateResidual": 1.0298684598969885,
            "approximateError": 102.98684598969798,
            "approximateBound": 114.47946883168406,
            "pathDistance": 5.246599579942782,
            "pathBound": 5.2465995799429255,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1298684598969828
          },
          {
            "k": 75,
            "value": [
              118.35032155081186,
              122.64831582015283
            ],
            "q": [
              [
                118.16681833530373,
                119.4218326619513
              ],
              [
                123.71982693129227,
                119.16681833530373
              ]
            ],
            "tv": [
              119.4218326619513,
              123.71982693129227
            ],
            "delta": [
              1.0715111111394435,
              1.0715111111394435
            ],
            "residual": 1.0715111111394435,
            "minDelta": 1.0715111111394435,
            "maxDelta": 1.0715111111394435,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 107.15111111394435,
            "geometricBound": 108.14054055922372,
            "residualBound": 107.15111111394425,
            "lower": [
              225.50143266475612,
              229.79942693409708
            ],
            "upper": [
              225.50143266475612,
              229.79942693409708
            ],
            "policyLower": [
              225.50143266475612,
              229.79942693409708
            ],
            "optimalUpper": [
              225.50143266475612,
              229.79942693409708
            ],
            "certifiedStop": false,
            "shifted": [
              130.11498759045313,
              134.41298185979412
            ],
            "shiftDifference": [
              11.76466603964127,
              11.764666039641284
            ],
            "shiftExpected": 11.764666039641247,
            "shiftDefect": [
              2.3092638912203256e-14,
              3.730349362740526e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9538644507430547,
              0.9538644507430263
            ],
            "approximate": [
              123.64445513495521,
              127.94244940429617
            ],
            "approximateTV": [
              124.66302491025321,
              128.9610191795942
            ],
            "approximateDelta": [
              1.0185697752980047,
              1.018569775298019
            ],
            "approximateResidual": 1.018569775298019,
            "approximateError": 101.856977529801,
            "approximateBound": 113.43467414336722,
            "pathDistance": 5.294133584143353,
            "pathBound": 5.294133584143497,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1185697752980133
          },
          {
            "k": 76,
            "value": [
              119.4218326619513,
              123.71982693129227
            ],
            "q": [
              [
                119.22761433533178,
                120.48262866197935
              ],
              [
                124.78062293132032,
                120.22761433533178
              ]
            ],
            "tv": [
              120.48262866197935,
              124.78062293132032
            ],
            "delta": [
              1.0607960000280485,
              1.0607960000280485
            ],
            "residual": 1.0607960000280485,
            "minDelta": 1.0607960000280485,
            "maxDelta": 1.0607960000280485,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 106.07960000280491,
            "geometricBound": 107.05913515363149,
            "residualBound": 106.07960000280475,
            "lower": [
              225.50143266475607,
              229.79942693409703
            ],
            "upper": [
              225.50143266475607,
              229.79942693409703
            ],
            "policyLower": [
              225.50143266475607,
              229.79942693409703
            ],
            "optimalUpper": [
              225.50143266475607,
              229.79942693409703
            ],
            "certifiedStop": false,
            "shifted": [
              131.06885204119618,
              135.36684631053714
            ],
            "shiftDifference": [
              11.647019379244881,
              11.647019379244867
            ],
            "shiftExpected": 11.647019379244835,
            "shiftDefect": [
              4.618527782440651e-14,
              3.197442310920451e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9443258062355824,
              0.9443258062356108
            ],
            "approximate": [
              124.76302491025321,
              129.06101917959418
            ],
            "approximateTV": [
              125.77040898779823,
              130.0684032571392
            ],
            "approximateDelta": [
              1.0073840775450265,
              1.0073840775450265
            ],
            "approximateResidual": 1.0073840775450265,
            "approximateError": 100.738407754503,
            "approximateBound": 112.40032740193355,
            "pathDistance": 5.341192248301908,
            "pathBound": 5.341192248302062,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1073840775450208
          },
          {
            "k": 77,
            "value": [
              120.48262866197935,
              124.78062293132032
            ],
            "q": [
              [
                120.27780237535956,
                121.53281670200712
              ],
              [
                125.8308109713481,
                121.27780237535956
              ]
            ],
            "tv": [
              121.53281670200712,
              125.8308109713481
            ],
            "delta": [
              1.050188040027777,
              1.050188040027777
            ],
            "residual": 1.050188040027777,
            "minDelta": 1.050188040027777,
            "maxDelta": 1.050188040027777,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 105.01880400277686,
            "geometricBound": 105.98854380209518,
            "residualBound": 105.0188040027776,
            "lower": [
              225.50143266475695,
              229.79942693409794
            ],
            "upper": [
              225.50143266475695,
              229.79942693409794
            ],
            "policyLower": [
              225.50143266475695,
              229.79942693409794
            ],
            "optimalUpper": [
              225.50143266475695,
              229.79942693409794
            ],
            "certifiedStop": false,
            "shifted": [
              132.01317784743176,
              136.31117211677275
            ],
            "shiftDifference": [
              11.530549185452415,
              11.53054918545243
            ],
            "shiftExpected": 11.530549185452386,
            "shiftDefect": [
              2.842170943040401e-14,
              4.263256414560601e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.934882548173249,
              0.934882548173249
            ],
            "approximate": [
              125.87040898779823,
              130.1684032571392
            ],
            "approximateTV": [
              126.86671922456782,
              131.16471349390878
            ],
            "approximateDelta": [
              0.9963102367695882,
              0.996310236769574
            ],
            "approximateResidual": 0.9963102367695882,
            "approximateError": 99.63102367695798,
            "approximateBound": 111.37632412791422,
            "pathDistance": 5.3877803258188806,
            "pathBound": 5.38778032581904,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.0963102367695825
          },
          {
            "k": 78,
            "value": [
              121.53281670200712,
              125.8308109713481
            ],
            "q": [
              [
                121.31748853498705,
                122.57250286163462
              ],
              [
                126.87049713097558,
                122.31748853498705
              ]
            ],
            "tv": [
              122.57250286163462,
              126.87049713097558
            ],
            "delta": [
              1.0396861596274931,
              1.039686159627479
            ],
            "residual": 1.0396861596274931,
            "minDelta": 1.039686159627479,
            "maxDelta": 1.0396861596274931,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 103.96861596274908,
            "geometricBound": 104.92865836407422,
            "residualBound": 103.96861596274923,
            "lower": [
              225.50143266475493,
              229.7994269340959
            ],
            "upper": [
              225.50143266475635,
              229.7994269340973
            ],
            "policyLower": [
              225.50143266475493,
              229.7994269340959
            ],
            "optimalUpper": [
              225.50143266475635,
              229.7994269340973
            ],
            "certifiedStop": false,
            "shifted": [
              132.948060395605,
              137.246054664946
            ],
            "shiftDifference": [
              11.415243693597887,
              11.415243693597901
            ],
            "shiftExpected": 11.415243693597862,
            "shiftDefect": [
              2.4868995751603507e-14,
              3.907985046680551e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9255337226915401,
              0.9255337226914833
            ],
            "approximate": [
              126.96671922456781,
              131.26471349390877
            ],
            "approximateTV": [
              127.95206635896969,
              132.25006062831065
            ],
            "approximateDelta": [
              0.9853471344018772,
              0.9853471344018772
            ],
            "approximateResidual": 0.9853471344018772,
            "approximateError": 98.5347134401884,
            "approximateBound": 110.36256088663508,
            "pathDistance": 5.433902522560686,
            "pathBound": 5.43390252256085,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.0853471344018715
          },
          {
            "k": 79,
            "value": [
              122.57250286163462,
              126.87049713097558
            ],
            "q": [
              [
                122.34677783301827,
                123.60179215966582
              ],
              [
                127.8997864290068,
                123.34677783301827
              ]
            ],
            "tv": [
              123.60179215966582,
              127.8997864290068
            ],
            "delta": [
              1.0292892980312018,
              1.029289298031216
            ],
            "residual": 1.029289298031216,
            "minDelta": 1.0292892980312018,
            "maxDelta": 1.029289298031216,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 102.92892980312159,
            "geometricBound": 103.87937178043347,
            "residualBound": 102.92892980312152,
            "lower": [
              225.5014326647547,
              229.79942693409566
            ],
            "upper": [
              225.50143266475612,
              229.79942693409708
            ],
            "policyLower": [
              225.5014326647547,
              229.79942693409566
            ],
            "optimalUpper": [
              225.50143266475612,
              229.79942693409708
            ],
            "certifiedStop": false,
            "shifted": [
              133.87359411829655,
              138.17158838763748
            ],
            "shiftDifference": [
              11.301091256661934,
              11.301091256661906
            ],
            "shiftExpected": 11.301091256661884,
            "shiftDefect": [
              4.973799150320701e-14,
              2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9162783854645511,
              0.9162783854646079
            ],
            "approximate": [
              128.05206635896968,
              132.35006062831064
            ],
            "approximateTV": [
              129.02656002202752,
              133.32455429136851
            ],
            "approximateDelta": [
              0.9744936630578422,
              0.9744936630578707
            ],
            "approximateResidual": 0.9744936630578707,
            "approximateError": 97.44936630578653,
            "approximateBound": 109.35893527776872,
            "pathDistance": 5.479563497335064,
            "pathBound": 5.479563497335242,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.074493663057865
          },
          {
            "k": 80,
            "value": [
              123.60179215966582,
              127.8997864290068
            ],
            "q": [
              [
                123.36577423806916,
                124.62078856471673
              ],
              [
                128.9187828340577,
                124.36577423806916
              ]
            ],
            "tv": [
              124.62078856471673,
              128.9187828340577
            ],
            "delta": [
              1.0189964050509133,
              1.0189964050509133
            ],
            "residual": 1.0189964050509133,
            "minDelta": 1.0189964050509133,
            "maxDelta": 1.0189964050509133,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 101.89964050509039,
            "geometricBound": 102.84057806262915,
            "residualBound": 101.89964050509124,
            "lower": [
              225.50143266475706,
              229.79942693409805
            ],
            "upper": [
              225.50143266475706,
              229.79942693409805
            ],
            "policyLower": [
              225.50143266475703,
              229.79942693409802
            ],
            "optimalUpper": [
              225.50143266475703,
              229.79942693409802
            ],
            "certifiedStop": false,
            "shifted": [
              134.7898725037611,
              139.0878667731021
            ],
            "shiftDifference": [
              11.188080344095283,
              11.188080344095297
            ],
            "shiftExpected": 11.188080344095265,
            "shiftDefect": [
              1.7763568394002505e-14,
              3.197442310920451e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.9071156016099735,
              0.9071156016099167
            ],
            "approximate": [
              129.12656002202752,
              133.4245542913685
            ],
            "approximateTV": [
              130.09030874845482,
              134.3883030177958
            ],
            "approximateDelta": [
              0.9637487264272977,
              0.9637487264272977
            ],
            "approximateResidual": 0.9637487264272977,
            "approximateError": 96.37487264272869,
            "approximateBound": 108.36534592499103,
            "pathDistance": 5.524767862361713,
            "pathBound": 5.52476786236189,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.063748726427292
          },
          {
            "k": 81,
            "value": [
              124.62078856471673,
              128.9187828340577
            ],
            "q": [
              [
                124.37458067906957,
                125.62959500571714
              ],
              [
                129.9275892750581,
                125.37458067906957
              ]
            ],
            "tv": [
              125.62959500571714,
              129.9275892750581
            ],
            "delta": [
              1.0088064410004023,
              1.008806441000388
            ],
            "residual": 1.0088064410004023,
            "minDelta": 1.008806441000388,
            "maxDelta": 1.0088064410004023,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 1.4068746168049972e-12,
            "error": 100.88064410003948,
            "geometricBound": 101.81217228200285,
            "residualBound": 100.88064410004014,
            "lower": [
              225.50143266475544,
              229.79942693409643
            ],
            "upper": [
              225.50143266475686,
              229.79942693409785
            ],
            "policyLower": [
              225.50143266475547,
              229.79942693409643
            ],
            "optimalUpper": [
              225.50143266475686,
              229.79942693409782
            ],
            "certifiedStop": false,
            "shifted": [
              135.69698810537108,
              139.994982374712
            ],
            "shiftDifference": [
              11.076199540654343,
              11.0761995406543
            ],
            "shiftExpected": 11.076199540654311,
            "shiftDefect": [
              3.197442310920451e-14,
              -1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8980444455938255,
              0.8980444455938823
            ],
            "approximate": [
              130.1903087484548,
              134.4883030177958
            ],
            "approximateTV": [
              131.14341998761785,
              135.4414142569588
            ],
            "approximateDelta": [
              0.9531112391630359,
              0.9531112391630074
            ],
            "approximateResidual": 0.9531112391630359,
            "approximateError": 95.3111239163014,
            "approximateBound": 107.38169246574111,
            "pathDistance": 5.569520183738092,
            "pathBound": 5.56952018373827,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.0531112391630302
          },
          {
            "k": 82,
            "value": [
              125.62959500571714,
              129.9275892750581
            ],
            "q": [
              [
                125.37329905565996,
                126.62831338230751
              ],
              [
                130.9263076516485,
                126.37329905565996
              ]
            ],
            "tv": [
              126.62831338230751,
              130.9263076516485
            ],
            "delta": [
              0.9987183765903751,
              0.9987183765904035
            ],
            "residual": 0.9987183765904035,
            "minDelta": 0.9987183765903751,
            "maxDelta": 0.9987183765904035,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 99.87183765903907,
            "geometricBound": 100.79405055918282,
            "residualBound": 99.87183765904027,
            "lower": [
              225.50143266475456,
              229.79942693409552
            ],
            "upper": [
              225.5014326647574,
              229.79942693409836
            ],
            "policyLower": [
              225.50143266475456,
              229.79942693409555
            ],
            "optimalUpper": [
              225.50143266475737,
              229.79942693409836
            ],
            "certifiedStop": false,
            "shifted": [
              136.5950325509649,
              140.8930268203059
            ],
            "shiftDifference": [
              10.965437545247767,
              10.965437545247795
            ],
            "shiftExpected": 10.96543754524777,
            "shiftDefect": [
              -3.552713678800501e-15,
              2.4868995751603507e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8890640011379389,
              0.8890640011379105
            ],
            "approximate": [
              131.24341998761784,
              135.5414142569588
            ],
            "approximateTV": [
              132.1860001143892,
              136.4839943837302
            ],
            "approximateDelta": [
              0.9425801267713609,
              0.9425801267713894
            ],
            "approximateResidual": 0.9425801267713894,
            "approximateError": 94.25801267713837,
            "approximateBound": 106.40787554108371,
            "pathDistance": 5.613824981900706,
            "pathBound": 5.613824981900887,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.0425801267713837
          },
          {
            "k": 83,
            "value": [
              126.62831338230751,
              130.9263076516485
            ],
            "q": [
              [
                126.36203024848443,
                127.61704457513201
              ],
              [
                131.91503884447297,
                127.36203024848443
              ]
            ],
            "tv": [
              127.61704457513201,
              131.91503884447297
            ],
            "delta": [
              0.9887311928245026,
              0.9887311928244742
            ],
            "residual": 0.9887311928245026,
            "minDelta": 0.9887311928244742,
            "maxDelta": 0.9887311928245026,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 98.8731192824487,
            "geometricBound": 99.78611005359099,
            "residualBound": 98.87311928245018,
            "lower": [
              225.50143266475484,
              229.79942693409583
            ],
            "upper": [
              225.5014326647577,
              229.79942693409868
            ],
            "policyLower": [
              225.50143266475487,
              229.79942693409583
            ],
            "optimalUpper": [
              225.5014326647577,
              229.79942693409865
            ],
            "certifiedStop": false,
            "shifted": [
              137.48409655210284,
              141.7820908214438
            ],
            "shiftDifference": [
              10.85578316979533,
              10.855783169795302
            ],
            "shiftExpected": 10.855783169795291,
            "shiftDefect": [
              3.907985046680551e-14,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8801733611265092,
              0.8801733611265377
            ],
            "approximate": [
              132.2860001143892,
              136.5839943837302
            ],
            "approximateTV": [
              133.21815443989288,
              137.51614870923385
            ],
            "approximateDelta": [
              0.9321543255036886,
              0.9321543255036602
            ],
            "approximateResidual": 0.9321543255036886,
            "approximateError": 93.21543255036701,
            "approximateBound": 105.44379678567287,
            "pathDistance": 5.657686732081686,
            "pathBound": 5.657686732081879,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.032154325503683
          },
          {
            "k": 84,
            "value": [
              127.61704457513201,
              131.91503884447297
            ],
            "q": [
              [
                127.3408741293807,
                128.59588845602823
              ],
              [
                132.89388272536922,
                128.3408741293807
              ]
            ],
            "tv": [
              128.59588845602823,
              132.89388272536922
            ],
            "delta": [
              0.9788438808962212,
              0.9788438808962496
            ],
            "residual": 0.9788438808962496,
            "minDelta": 0.9788438808962212,
            "maxDelta": 0.9788438808962496,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 97.8843880896242,
            "geometricBound": 98.78824895305507,
            "residualBound": 97.88438808962488,
            "lower": [
              225.50143266475405,
              229.799426934095
            ],
            "upper": [
              225.5014326647569,
              229.79942693409785
            ],
            "policyLower": [
              225.50143266475405,
              229.79942693409504
            ],
            "optimalUpper": [
              225.50143266475686,
              229.79942693409785
            ],
            "certifiedStop": false,
            "shifted": [
              138.36426991322935,
              142.66226418257034
            ],
            "shiftDifference": [
              10.747225338097337,
              10.747225338097365
            ],
            "shiftExpected": 10.747225338097339,
            "shiftDefect": [
              -1.7763568394002505e-15,
              2.6645352591003757e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8713716275152876,
              0.8713716275152876
            ],
            "approximate": [
              133.31815443989288,
              137.61614870923384
            ],
            "approximateTV": [
              134.2399872221415,
              138.53798149148247
            ],
            "approximateDelta": [
              0.9218327822486287,
              0.9218327822486287
            ],
            "approximateResidual": 0.9218327822486287,
            "approximateError": 92.18327822486333,
            "approximateBound": 104.48935881781614,
            "pathDistance": 5.701109864760866,
            "pathBound": 5.70110986476106,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.021832782248623
          },
          {
            "k": 85,
            "value": [
              128.59588845602823,
              132.89388272536922
            ],
            "q": [
              [
                128.30992957146793,
                129.56494389811553
              ],
              [
                133.86293816745652,
                129.30992957146793
              ]
            ],
            "tv": [
              129.56494389811553,
              133.86293816745652
            ],
            "delta": [
              0.9690554420872957,
              0.9690554420872957
            ],
            "residual": 0.9690554420872957,
            "minDelta": 0.9690554420872957,
            "maxDelta": 0.9690554420872957,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 96.90554420872797,
            "geometricBound": 97.80036646352453,
            "residualBound": 96.90554420872948,
            "lower": [
              225.50143266475771,
              229.7994269340987
            ],
            "upper": [
              225.50143266475771,
              229.7994269340987
            ],
            "policyLower": [
              225.50143266475771,
              229.7994269340987
            ],
            "optimalUpper": [
              225.50143266475771,
              229.7994269340987
            ],
            "certifiedStop": false,
            "shifted": [
              139.23564154074464,
              143.53363581008563
            ],
            "shiftDifference": [
              10.639753084716403,
              10.639753084716403
            ],
            "shiftExpected": 10.639753084716364,
            "shiftDefect": [
              3.907985046680551e-14,
              3.907985046680551e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8626579112401203,
              0.8626579112401203
            ],
            "approximate": [
              134.3399872221415,
              138.63798149148246
            ],
            "approximateTV": [
              135.25160167656765,
              139.5495959459086
            ],
            "approximateDelta": [
              0.9116144544261431,
              0.9116144544261431
            ],
            "approximateResidual": 0.9116144544261431,
            "approximateError": 91.1614454426147,
            "approximateBound": 103.54446522963798,
            "pathDistance": 5.744098766113268,
            "pathBound": 5.744098766113449,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.0116144544261374
          },
          {
            "k": 86,
            "value": [
              129.56494389811553,
              133.86293816745652
            ],
            "q": [
              [
                129.2692944591344,
                130.52430878578195
              ],
              [
                134.82230305512292,
                130.2692944591344
              ]
            ],
            "tv": [
              130.52430878578195,
              134.82230305512292
            ],
            "delta": [
              0.9593648876664247,
              0.9593648876663963
            ],
            "residual": 0.9593648876664247,
            "minDelta": 0.9593648876663963,
            "maxDelta": 0.9593648876664247,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 95.93648876664068,
            "geometricBound": 96.82236279888927,
            "residualBound": 95.93648876664238,
            "lower": [
              225.50143266475507,
              229.79942693409606
            ],
            "upper": [
              225.5014326647579,
              229.7994269340989
            ],
            "policyLower": [
              225.5014326647551,
              229.79942693409606
            ],
            "optimalUpper": [
              225.5014326647579,
              229.79942693409888
            ],
            "certifiedStop": false,
            "shifted": [
              140.09829945198476,
              144.39629372132575
            ],
            "shiftDifference": [
              10.533355553869228,
              10.533355553869228
            ],
            "shiftExpected": 10.5333555538692,
            "shiftDefect": [
              2.842170943040401e-14,
              2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8540313321277324,
              0.854031332127704
            ],
            "approximate": [
              135.35160167656764,
              139.6495959459086
            ],
            "approximateTV": [
              136.2530999864495,
              140.5510942557905
            ],
            "approximateDelta": [
              0.9014983098818732,
              0.9014983098819016
            ],
            "approximateResidual": 0.9014983098819016,
            "approximateError": 90.14983098818857,
            "approximateBound": 102.60902057734158,
            "pathDistance": 5.78665777845211,
            "pathBound": 5.786657778452315,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.001498309881896
          },
          {
            "k": 87,
            "value": [
              130.52430878578195,
              134.82230305512292
            ],
            "q": [
              [
                130.21906569792412,
                131.4740800245717
              ],
              [
                135.77207429391265,
                131.21906569792412
              ]
            ],
            "tv": [
              131.4740800245717,
              135.77207429391265
            ],
            "delta": [
              0.9497712387897366,
              0.9497712387897366
            ],
            "residual": 0.9497712387897366,
            "minDelta": 0.9497712387897366,
            "maxDelta": 0.9497712387897366,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 94.97712387897425,
            "geometricBound": 95.85413917090038,
            "residualBound": 94.97712387897357,
            "lower": [
              225.50143266475553,
              229.7994269340965
            ],
            "upper": [
              225.50143266475553,
              229.7994269340965
            ],
            "policyLower": [
              225.50143266475553,
              229.7994269340965
            ],
            "optimalUpper": [
              225.50143266475553,
              229.7994269340965
            ],
            "certifiedStop": false,
            "shifted": [
              140.9523307841125,
              145.25032505345345
            ],
            "shiftDifference": [
              10.428021998330536,
              10.428021998330536
            ],
            "shiftExpected": 10.42802199833051,
            "shiftDefect": [
              2.6645352591003757e-14,
              2.6645352591003757e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8454910188064275,
              0.8454910188064559
            ],
            "approximate": [
              136.3530999864495,
              140.6510942557905
            ],
            "approximateTV": [
              137.2445833132326,
              141.54257758257356
            ],
            "approximateDelta": [
              0.8914833267830886,
              0.8914833267830602
            ],
            "approximateResidual": 0.8914833267830886,
            "approximateError": 89.1483326783067,
            "approximateBound": 101.68293037156818,
            "pathDistance": 5.828791200667581,
            "pathBound": 5.8287912006677915,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9914833267830829
          },
          {
            "k": 88,
            "value": [
              131.4740800245717,
              135.77207429391265
            ],
            "q": [
              [
                131.15933922432598,
                132.41435355097352
              ],
              [
                136.7123478203145,
                132.15933922432598
              ]
            ],
            "tv": [
              132.41435355097352,
              136.7123478203145
            ],
            "delta": [
              0.9402735264018247,
              0.9402735264018531
            ],
            "residual": 0.9402735264018531,
            "minDelta": 0.9402735264018247,
            "maxDelta": 0.9402735264018531,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 94.02735264018452,
            "geometricBound": 94.89559777919138,
            "residualBound": 94.02735264018523,
            "lower": [
              225.50143266475408,
              229.79942693409504
            ],
            "upper": [
              225.50143266475692,
              229.79942693409788
            ],
            "policyLower": [
              225.50143266475408,
              229.79942693409507
            ],
            "optimalUpper": [
              225.5014326647569,
              229.79942693409788
            ],
            "certifiedStop": false,
            "shifted": [
              141.79782180291892,
              146.0958160722599
            ],
            "shiftDifference": [
              10.323741778347227,
              10.323741778347255
            ],
            "shiftExpected": 10.323741778347204,
            "shiftDefect": [
              2.3092638912203256e-14,
              5.1514348342607263e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8370361086183777,
              0.8370361086183777
            ],
            "approximate": [
              137.3445833132326,
              141.64257758257355
            ],
            "approximateTV": [
              138.22615180674782,
              142.52414607608878
            ],
            "approximateDelta": [
              0.8815684935152319,
              0.8815684935152319
            ],
            "approximateResidual": 0.8815684935152319,
            "approximateError": 88.15684935152362,
            "approximateBound": 100.76610106785249,
            "pathDistance": 5.870503288660899,
            "pathBound": 5.870503288661114,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9815684935152262
          },
          {
            "k": 89,
            "value": [
              132.41435355097352,
              136.7123478203145
            ],
            "q": [
              [
                132.09021001546378,
                133.34522434211135
              ],
              [
                137.64321861145234,
                133.09021001546378
              ]
            ],
            "tv": [
              133.34522434211135,
              137.64321861145234
            ],
            "delta": [
              0.9308707911378349,
              0.9308707911378349
            ],
            "residual": 0.9308707911378349,
            "minDelta": 0.9308707911378349,
            "maxDelta": 0.9308707911378349,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 93.08707911378269,
            "geometricBound": 93.94664180139947,
            "residualBound": 93.0870791137834,
            "lower": [
              225.50143266475692,
              229.7994269340979
            ],
            "upper": [
              225.50143266475692,
              229.7994269340979
            ],
            "policyLower": [
              225.50143266475692,
              229.7994269340979
            ],
            "optimalUpper": [
              225.50143266475692,
              229.7994269340979
            ],
            "certifiedStop": false,
            "shifted": [
              142.6348579115373,
              146.93285218087829
            ],
            "shiftDifference": [
              10.22050436056378,
              10.22050436056378
            ],
            "shiftExpected": 10.220504360563732,
            "shiftDefect": [
              4.796163466380676e-14,
              4.796163466380676e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8286657475321988,
              0.8286657475321988
            ],
            "approximate": [
              138.32615180674782,
              142.62414607608878
            ],
            "approximateTV": [
              139.1979046153279,
              143.49589888466886
            ],
            "approximateDelta": [
              0.8717528085800836,
              0.8717528085800836
            ],
            "approximateResidual": 0.8717528085800836,
            "approximateError": 87.17528085800839,
            "approximateBound": 99.85844005717396,
            "pathDistance": 5.9117982557743005,
            "pathBound": 5.911798255774503,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.971752808580078
          },
          {
            "k": 90,
            "value": [
              133.34522434211135,
              137.64321861145234
            ],
            "q": [
              [
                133.01177209869024,
                134.2667864253378
              ],
              [
                138.5647806946788,
                134.01177209869024
              ]
            ],
            "tv": [
              134.2667864253378,
              138.5647806946788
            ],
            "delta": [
              0.9215620832264619,
              0.9215620832264619
            ],
            "residual": 0.9215620832264619,
            "minDelta": 0.9215620832264619,
            "maxDelta": 0.9215620832264619,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 92.15620832264486,
            "geometricBound": 93.00717538338547,
            "residualBound": 92.15620832264611,
            "lower": [
              225.50143266475746,
              229.79942693409845
            ],
            "upper": [
              225.50143266475746,
              229.79942693409845
            ],
            "policyLower": [
              225.50143266475746,
              229.79942693409845
            ],
            "optimalUpper": [
              225.50143266475746,
              229.79942693409845
            ],
            "certifiedStop": false,
            "shifted": [
              143.4635236590695,
              147.76151792841048
            ],
            "shiftDifference": [
              10.118299316958144,
              10.118299316958144
            ],
            "shiftExpected": 10.118299316958094,
            "shiftDefect": [
              4.973799150320701e-14,
              4.973799150320701e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.820379090056889,
              0.8203790900568606
            ],
            "approximate": [
              139.2979046153279,
              143.59589888466886
            ],
            "approximateTV": [
              140.15993989582216,
              144.45793416516315
            ],
            "approximateDelta": [
              0.8620352804942684,
              0.8620352804942968
            ],
            "approximateResidual": 0.8620352804942968,
            "approximateError": 86.20352804942831,
            "approximateBound": 98.95985565660223,
            "pathDistance": 5.952680273216544,
            "pathBound": 5.952680273216757,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9620352804942911
          },
          {
            "k": 91,
            "value": [
              134.2667864253378,
              138.5647806946788
            ],
            "q": [
              [
                133.92411856108444,
                135.179132887732
              ],
              [
                139.477127157073,
                134.92411856108444
              ]
            ],
            "tv": [
              135.179132887732,
              139.477127157073
            ],
            "delta": [
              0.912346462394197,
              0.912346462394197
            ],
            "residual": 0.912346462394197,
            "minDelta": 0.912346462394197,
            "maxDelta": 0.912346462394197,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 91.2346462394184,
            "geometricBound": 92.07710362955163,
            "residualBound": 91.23464623941962,
            "lower": [
              225.50143266475743,
              229.79942693409842
            ],
            "upper": [
              225.50143266475743,
              229.79942693409842
            ],
            "policyLower": [
              225.50143266475743,
              229.79942693409842
            ],
            "optimalUpper": [
              225.50143266475743,
              229.79942693409842
            ],
            "certifiedStop": false,
            "shifted": [
              144.28390274912638,
              148.58189701846734
            ],
            "shiftDifference": [
              10.01711632378857,
              10.017116323788542
            ],
            "shiftExpected": 10.017116323788514,
            "shiftDefect": [
              5.684341886080802e-14,
              2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8121752991562801,
              0.8121752991563085
            ],
            "approximate": [
              140.25993989582216,
              144.55793416516315
            ],
            "approximateTV": [
              141.1123548235115,
              145.4103490928525
            ],
            "approximateDelta": [
              0.8524149276893525,
              0.8524149276893525
            ],
            "approximateResidual": 0.8524149276893525,
            "approximateError": 85.24149276893405,
            "approximateBound": 98.07025710003622,
            "pathDistance": 5.993153470484344,
            "pathBound": 5.9931534704845895,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9524149276893468
          },
          {
            "k": 92,
            "value": [
              135.179132887732,
              139.477127157073
            ],
            "q": [
              [
                134.8273415588547,
                136.08235588550227
              ],
              [
                140.38035015484323,
                135.8273415588547
              ]
            ],
            "tv": [
              136.08235588550227,
              140.38035015484323
            ],
            "delta": [
              0.903222997770257,
              0.9032229977702286
            ],
            "residual": 0.903222997770257,
            "minDelta": 0.9032229977702286,
            "maxDelta": 0.903222997770257,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 90.3222997770242,
            "geometricBound": 91.1563325932561,
            "residualBound": 90.32229977702562,
            "lower": [
              225.5014326647548,
              229.79942693409578
            ],
            "upper": [
              225.50143266475763,
              229.79942693409862
            ],
            "policyLower": [
              225.50143266475482,
              229.79942693409578
            ],
            "optimalUpper": [
              225.50143266475763,
              229.7994269340986
            ],
            "certifiedStop": false,
            "shifted": [
              145.09607804828266,
              149.39407231762365
            ],
            "shiftDifference": [
              9.916945160550654,
              9.916945160550654
            ],
            "shiftExpected": 9.916945160550627,
            "shiftDefect": [
              2.6645352591003757e-14,
              2.6645352591003757e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.804053546164738,
              0.8040535461647096
            ],
            "approximate": [
              141.2123548235115,
              145.5103490928525
            ],
            "approximateTV": [
              142.05524560192396,
              146.35323987126495
            ],
            "approximateDelta": [
              0.8428907784124533,
              0.8428907784124533
            ],
            "approximateResidual": 0.8428907784124533,
            "approximateError": 84.2890778412447,
            "approximateBound": 97.18955452903585,
            "pathDistance": 6.033221935779494,
            "pathBound": 6.033221935779744,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9428907784124476
          },
          {
            "k": 93,
            "value": [
              136.08235588550227,
              140.38035015484323
            ],
            "q": [
              [
                135.72153232664724,
                136.9765466532948
              ],
              [
                141.27454092263577,
                136.72153232664724
              ]
            ],
            "tv": [
              136.9765466532948,
              141.27454092263577
            ],
            "delta": [
              0.8941907677925371,
              0.8941907677925371
            ],
            "residual": 0.8941907677925371,
            "minDelta": 0.8941907677925371,
            "maxDelta": 0.8941907677925371,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 89.41907677925394,
            "geometricBound": 90.24476926732353,
            "residualBound": 89.41907677925363,
            "lower": [
              225.5014326647559,
              229.79942693409686
            ],
            "upper": [
              225.5014326647559,
              229.79942693409686
            ],
            "policyLower": [
              225.5014326647559,
              229.79942693409686
            ],
            "optimalUpper": [
              225.5014326647559,
              229.79942693409686
            ],
            "certifiedStop": false,
            "shifted": [
              145.9001315944474,
              150.19812586378836
            ],
            "shiftDifference": [
              9.817775708945135,
              9.817775708945135
            ],
            "shiftExpected": 9.817775708945122,
            "shiftDefect": [
              1.2434497875801753e-14,
              1.2434497875801753e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7960130107030636,
              0.796013010703092
            ],
            "approximate": [
              142.15524560192395,
              146.45323987126494
            ],
            "approximateTV": [
              142.98870747255228,
              147.28670174189327
            ],
            "approximateDelta": [
              0.8334618706283266,
              0.8334618706283266
            ],
            "approximateResidual": 0.8334618706283266,
            "approximateError": 83.34618706283226,
            "approximateBound": 96.31765898374547,
            "pathDistance": 6.072889716421713,
            "pathBound": 6.0728897164219475,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9334618706283209
          },
          {
            "k": 94,
            "value": [
              136.9765466532948,
              141.27454092263577
            ],
            "q": [
              [
                136.60678118676185,
                137.86179551340942
              ],
              [
                142.15978978275038,
                137.60678118676185
              ]
            ],
            "tv": [
              137.86179551340942,
              142.15978978275038
            ],
            "delta": [
              0.8852488601146149,
              0.8852488601146149
            ],
            "residual": 0.8852488601146149,
            "minDelta": 0.8852488601146149,
            "maxDelta": 0.8852488601146149,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 88.5248860114614,
            "geometricBound": 89.3423215746503,
            "residualBound": 88.5248860114614,
            "lower": [
              225.5014326647562,
              229.79942693409717
            ],
            "upper": [
              225.5014326647562,
              229.79942693409717
            ],
            "policyLower": [
              225.5014326647562,
              229.79942693409717
            ],
            "optimalUpper": [
              225.5014326647562,
              229.79942693409717
            ],
            "certifiedStop": false,
            "shifted": [
              146.69614460515047,
              150.99413887449145
            ],
            "shiftDifference": [
              9.719597951855661,
              9.71959795185569
            ],
            "shiftExpected": 9.71959795185567,
            "shiftDefect": [
              -8.881784197001252e-15,
              1.9539925233402755e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7880528805960694,
              0.7880528805960694
            ],
            "approximate": [
              143.08870747255227,
              147.38670174189326
            ],
            "approximateTV": [
              143.91283472447432,
              148.2108289938153
            ],
            "approximateDelta": [
              0.8241272519220502,
              0.8241272519220502
            ],
            "approximateResidual": 0.8241272519220502,
            "approximateError": 82.41272519220394,
            "approximateBound": 95.45448239390802,
            "pathDistance": 6.112160819257497,
            "pathBound": 6.112160819257728,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9241272519220445
          },
          {
            "k": 95,
            "value": [
              137.86179551340942,
              142.15978978275038
            ],
            "q": [
              [
                137.48317755827532,
                138.73819188492288
              ],
              [
                143.03618615426385,
                138.48317755827532
              ]
            ],
            "tv": [
              138.73819188492288,
              143.03618615426385
            ],
            "delta": [
              0.8763963715134651,
              0.8763963715134651
            ],
            "residual": 0.8763963715134651,
            "minDelta": 0.8763963715134651,
            "maxDelta": 0.8763963715134651,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 87.63963715134679,
            "geometricBound": 88.4488983589038,
            "residualBound": 87.63963715134643,
            "lower": [
              225.50143266475584,
              229.7994269340968
            ],
            "upper": [
              225.50143266475584,
              229.7994269340968
            ],
            "policyLower": [
              225.50143266475584,
              229.7994269340968
            ],
            "optimalUpper": [
              225.50143266475584,
              229.7994269340968
            ],
            "certifiedStop": false,
            "shifted": [
              147.48419748574653,
              151.78219175508752
            ],
            "shiftDifference": [
              9.622401972337116,
              9.622401972337144
            ],
            "shiftExpected": 9.622401972337114,
            "shiftDefect": [
              1.7763568394002505e-15,
              3.019806626980426e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7801723517900996,
              0.7801723517900996
            ],
            "approximate": [
              144.01283472447432,
              148.3108289938153
            ],
            "approximateTV": [
              144.82772070387716,
              149.1257149732181
            ],
            "approximateDelta": [
              0.8148859794028454,
              0.8148859794027885
            ],
            "approximateResidual": 0.8148859794028454,
            "approximateError": 81.48859794028189,
            "approximateBound": 94.59993756996896,
            "pathDistance": 6.151039211064926,
            "pathBound": 6.15103921106515,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9148859794028397
          },
          {
            "k": 96,
            "value": [
              138.73819188492288,
              143.03618615426385
            ],
            "q": [
              [
                138.35080996607365,
                139.6058242927212
              ],
              [
                143.90381856206218,
                139.35080996607365
              ]
            ],
            "tv": [
              139.6058242927212,
              143.90381856206218
            ],
            "delta": [
              0.8676324077983111,
              0.8676324077983395
            ],
            "residual": 0.8676324077983395,
            "minDelta": 0.8676324077983111,
            "maxDelta": 0.8676324077983395,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 86.76324077983332,
            "geometricBound": 87.56440937531475,
            "residualBound": 86.76324077983388,
            "lower": [
              225.5014326647539,
              229.79942693409487
            ],
            "upper": [
              225.50143266475675,
              229.7994269340977
            ],
            "policyLower": [
              225.5014326647539,
              229.7994269340949
            ],
            "optimalUpper": [
              225.50143266475675,
              229.7994269340977
            ],
            "certifiedStop": false,
            "shifted": [
              148.26436983753663,
              152.56236410687762
            ],
            "shiftDifference": [
              9.52617795261375,
              9.526177952613779
            ],
            "shiftExpected": 9.526177952613741,
            "shiftDefect": [
              8.881784197001252e-15,
              3.730349362740526e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7723706282721992,
              0.7723706282721992
            ],
            "approximate": [
              144.92772070387716,
              149.2257149732181
            ],
            "approximateTV": [
              145.7334578234859,
              150.0314520928269
            ],
            "approximateDelta": [
              0.8057371196087502,
              0.805737119608807
            ],
            "approximateResidual": 0.805737119608807,
            "approximateError": 80.57371196087908,
            "approximateBound": 93.75393819426925,
            "pathDistance": 6.1895288189542725,
            "pathBound": 6.189528818954499,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9057371196088013
          },
          {
            "k": 97,
            "value": [
              139.6058242927212,
              143.90381856206218
            ],
            "q": [
              [
                139.20976604979398,
                140.46478037644155
              ],
              [
                144.76277464578254,
                140.20976604979398
              ]
            ],
            "tv": [
              140.46478037644155,
              144.76277464578254
            ],
            "delta": [
              0.8589560837203578,
              0.8589560837203578
            ],
            "residual": 0.8589560837203578,
            "minDelta": 0.8589560837203578,
            "maxDelta": 0.8589560837203578,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 85.89560837203501,
            "geometricBound": 86.68876528156161,
            "residualBound": 85.89560837203571,
            "lower": [
              225.50143266475692,
              229.79942693409788
            ],
            "upper": [
              225.50143266475692,
              229.79942693409788
            ],
            "policyLower": [
              225.5014326647569,
              229.79942693409788
            ],
            "optimalUpper": [
              225.5014326647569,
              229.79942693409788
            ],
            "certifiedStop": false,
            "shifted": [
              149.03674046580883,
              153.33473473514982
            ],
            "shiftDifference": [
              9.430916173087638,
              9.430916173087638
            ],
            "shiftExpected": 9.430916173087605,
            "shiftDefect": [
              3.375077994860476e-14,
              3.375077994860476e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7646469219894811,
              0.7646469219894811
            ],
            "approximate": [
              145.8334578234859,
              150.1314520928269
            ],
            "approximateTV": [
              146.63013757189862,
              150.92813184123958
            ],
            "approximateDelta": [
              0.7966797484127142,
              0.7966797484126857
            ],
            "approximateResidual": 0.7966797484127142,
            "approximateError": 79.66797484127031,
            "approximateBound": 92.91639881232656,
            "pathDistance": 6.227633530764706,
            "pathBound": 6.227633530764953,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8966797484127085
          },
          {
            "k": 98,
            "value": [
              140.46478037644155,
              144.76277464578254
            ],
            "q": [
              [
                140.06013257267713,
                141.3151468993247
              ],
              [
                145.6131411686657,
                141.06013257267713
              ]
            ],
            "tv": [
              141.3151468993247,
              145.6131411686657
            ],
            "delta": [
              0.8503665228831494,
              0.8503665228831494
            ],
            "residual": 0.8503665228831494,
            "minDelta": 0.8503665228831494,
            "maxDelta": 0.8503665228831494,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 85.03665228831466,
            "geometricBound": 85.821877628746,
            "residualBound": 85.03665228831487,
            "lower": [
              225.5014326647564,
              229.79942693409743
            ],
            "upper": [
              225.5014326647564,
              229.79942693409743
            ],
            "policyLower": [
              225.5014326647564,
              229.79942693409743
            ],
            "optimalUpper": [
              225.5014326647564,
              229.79942693409743
            ],
            "certifiedStop": false,
            "shifted": [
              149.80138738779831,
              154.0993816571393
            ],
            "shiftDifference": [
              9.336607011356762,
              9.336607011356762
            ],
            "shiftExpected": 9.33660701135673,
            "shiftDefect": [
              3.197442310920451e-14,
              3.197442310920451e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7570004527696028,
              0.7570004527695744
            ],
            "approximate": [
              146.7301375718986,
              151.02813184123957
            ],
            "approximateTV": [
              147.51785052282716,
              151.81584479216815
            ],
            "approximateDelta": [
              0.787712950928551,
              0.7877129509285794
            ],
            "approximateResidual": 0.7877129509285794,
            "approximateError": 78.7712950928576,
            "approximateBound": 92.08723482420329,
            "pathDistance": 6.265357195457057,
            "pathBound": 6.2653571954573035,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8877129509285737
          },
          {
            "k": 99,
            "value": [
              141.3151468993247,
              145.6131411686657
            ],
            "q": [
              [
                140.90199543033145,
                142.15700975697902
              ],
              [
                146.45500402632,
                141.90199543033145
              ]
            ],
            "tv": [
              142.15700975697902,
              146.45500402632
            ],
            "delta": [
              0.8418628576543199,
              0.8418628576543199
            ],
            "residual": 0.8418628576543199,
            "minDelta": 0.8418628576543199,
            "maxDelta": 0.8418628576543199,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 84.1862857654315,
            "geometricBound": 84.96365885245854,
            "residualBound": 84.18628576543192,
            "lower": [
              225.50143266475663,
              229.7994269340976
            ],
            "upper": [
              225.50143266475663,
              229.7994269340976
            ],
            "policyLower": [
              225.50143266475663,
              229.7994269340976
            ],
            "optimalUpper": [
              225.50143266475663,
              229.7994269340976
            ],
            "certifiedStop": false,
            "shifted": [
              150.55838784056792,
              154.85638210990888
            ],
            "shiftDifference": [
              9.243240941243215,
              9.243240941243187
            ],
            "shiftExpected": 9.243240941243162,
            "shiftDefect": [
              5.3290705182007514e-14,
              2.4868995751603507e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.749430448241867,
              0.7494304482418954
            ],
            "approximate": [
              147.61785052282715,
              151.91584479216814
            ],
            "approximateTV": [
              148.39668634424646,
              152.69468061358745
            ],
            "approximateDelta": [
              0.7788358214193067,
              0.7788358214193067
            ],
            "approximateResidual": 0.7788358214193067,
            "approximateError": 77.88358214192905,
            "approximateBound": 91.26636247596127,
            "pathDistance": 6.3027036235024525,
            "pathBound": 6.3027036235027305,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.878835821419301
          },
          {
            "k": 100,
            "value": [
              142.15700975697902,
              146.45500402632
            ],
            "q": [
              [
                141.73543965940922,
                142.99045398605682
              ],
              [
                147.28844825539778,
                142.73543965940922
              ]
            ],
            "tv": [
              142.99045398605682,
              147.28844825539778
            ],
            "delta": [
              0.8334442290777986,
              0.8334442290777702
            ],
            "residual": 0.8334442290777986,
            "minDelta": 0.8334442290777702,
            "maxDelta": 0.8334442290777986,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 83.34442290777719,
            "geometricBound": 84.11402226393395,
            "residualBound": 83.34442290777979,
            "lower": [
              225.50143266475595,
              229.79942693409697
            ],
            "upper": [
              225.5014326647588,
              229.7994269340998
            ],
            "policyLower": [
              225.501432664756,
              229.79942693409697
            ],
            "optimalUpper": [
              225.5014326647588,
              229.79942693409976
            ],
            "certifiedStop": false,
            "shifted": [
              151.30781828880978,
              155.60581255815077
            ],
            "shiftDifference": [
              9.150808531830762,
              9.150808531830762
            ],
            "shiftExpected": 9.15080853183073,
            "shiftDefect": [
              3.197442310920451e-14,
              3.197442310920451e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7419361437594887,
              0.7419361437594603
            ],
            "approximate": [
              148.49668634424646,
              152.79468061358745
            ],
            "approximateTV": [
              149.26673380745157,
              153.56472807679256
            ],
            "approximateDelta": [
              0.7700474632051169,
              0.7700474632051169
            ],
            "approximateResidual": 0.7700474632051169,
            "approximateError": 77.00474632050975,
            "approximateBound": 90.45369885120165,
            "pathDistance": 6.339676587267434,
            "pathBound": 6.339676587267704,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8700474632051112
          },
          {
            "k": 101,
            "value": [
              142.99045398605682,
              147.28844825539778
            ],
            "q": [
              [
                142.56054944619626,
                143.8155637728438
              ],
              [
                148.1135580421848,
                143.56054944619626
              ]
            ],
            "tv": [
              143.8155637728438,
              148.1135580421848
            ],
            "delta": [
              0.8251097867869817,
              0.8251097867870101
            ],
            "residual": 0.8251097867870101,
            "minDelta": 0.8251097867869817,
            "maxDelta": 0.8251097867870101,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 82.51097867869939,
            "geometricBound": 83.27288204129461,
            "residualBound": 82.51097867870094,
            "lower": [
              225.50143266475493,
              229.7994269340959
            ],
            "upper": [
              225.50143266475777,
              229.79942693409873
            ],
            "policyLower": [
              225.50143266475493,
              229.7994269340959
            ],
            "optimalUpper": [
              225.50143266475771,
              229.79942693409873
            ],
            "certifiedStop": false,
            "shifted": [
              152.04975443256927,
              156.34774870191023
            ],
            "shiftDifference": [
              9.059300446512452,
              9.059300446512452
            ],
            "shiftExpected": 9.059300446512422,
            "shiftDefect": [
              3.019806626980426e-14,
              3.019806626980426e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7345167823218617,
              0.7345167823218617
            ],
            "approximate": [
              149.36673380745157,
              153.66472807679256
            ],
            "approximateTV": [
              150.12808079602462,
              154.4260750653656
            ],
            "approximateDelta": [
              0.7613469885730524,
              0.7613469885730524
            ],
            "approximateResidual": 0.7613469885730524,
            "approximateError": 76.13469885730464,
            "approximateBound": 89.64916186268964,
            "pathDistance": 6.376279821394775,
            "pathBound": 6.376279821395026,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8613469885730467
          },
          {
            "k": 102,
            "value": [
              143.8155637728438,
              148.1135580421848
            ],
            "q": [
              [
                143.37740813511536,
                144.63242246176296
              ],
              [
                148.93041673110392,
                144.37740813511536
              ]
            ],
            "tv": [
              144.63242246176296,
              148.93041673110392
            ],
            "delta": [
              0.8168586889191545,
              0.816858688919126
            ],
            "residual": 0.8168586889191545,
            "minDelta": 0.816858688919126,
            "maxDelta": 0.8168586889191545,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 81.6858688919124,
            "geometricBound": 82.44015322088167,
            "residualBound": 81.68586889191538,
            "lower": [
              225.50143266475635,
              229.7994269340973
            ],
            "upper": [
              225.5014326647592,
              229.79942693410015
            ],
            "policyLower": [
              225.50143266475635,
              229.7994269340973
            ],
            "optimalUpper": [
              225.5014326647592,
              229.79942693410015
            ],
            "certifiedStop": false,
            "shifted": [
              152.78427121489113,
              157.0822654842321
            ],
            "shiftDifference": [
              8.968707442047332,
              8.968707442047304
            ],
            "shiftExpected": 8.968707442047299,
            "shiftDefect": [
              3.375077994860476e-14,
              5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7271716144986442,
              0.7271716144986442
            ],
            "approximate": [
              150.2280807960246,
              154.5260750653656
            ],
            "approximateTV": [
              150.98081431471195,
              155.27880858405294
            ],
            "approximateDelta": [
              0.7527335186873358,
              0.7527335186873358
            ],
            "approximateResidual": 0.7527335186873358,
            "approximateError": 75.2733518687316,
            "approximateBound": 88.85267024406275,
            "pathDistance": 6.412517023180811,
            "pathBound": 6.412517023181076,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8527335186873302
          },
          {
            "k": 103,
            "value": [
              144.63242246176296,
              148.93041673110392
            ],
            "q": [
              [
                144.18609823714533,
                145.44111256379287
              ],
              [
                149.73910683313386,
                145.18609823714533
              ]
            ],
            "tv": [
              145.44111256379287,
              149.73910683313386
            ],
            "delta": [
              0.8086901020299138,
              0.8086901020299422
            ],
            "residual": 0.8086901020299422,
            "minDelta": 0.8086901020299138,
            "maxDelta": 0.8086901020299422,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 80.86901020299325,
            "geometricBound": 81.61575168867284,
            "residualBound": 80.86901020299415,
            "lower": [
              225.50143266475425,
              229.7994269340952
            ],
            "upper": [
              225.5014326647571,
              229.79942693409805
            ],
            "policyLower": [
              225.50143266475425,
              229.79942693409527
            ],
            "optimalUpper": [
              225.5014326647571,
              229.79942693409805
            ],
            "certifiedStop": false,
            "shifted": [
              153.51144282938978,
              157.80943709873074
            ],
            "shiftDifference": [
              8.879020367626822,
              8.879020367626822
            ],
            "shiftExpected": 8.879020367626826,
            "shiftDefect": [
              -3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7198998983536455,
              0.719899898353674
            ],
            "approximate": [
              151.08081431471194,
              155.37880858405293
            ],
            "approximateTV": [
              151.8250204982124,
              156.12301476755337
            ],
            "approximateDelta": [
              0.7442061835004665,
              0.7442061835004381
            ],
            "approximateResidual": 0.7442061835004665,
            "approximateError": 74.42061835004426,
            "approximateBound": 88.06414354162212,
            "pathDistance": 6.448391852949015,
            "pathBound": 6.448391852949264,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8442061835004608
          },
          {
            "k": 104,
            "value": [
              145.44111256379287,
              149.73910683313386
            ],
            "q": [
              [
                144.98670143815494,
                146.2417157648025
              ],
              [
                150.5397100341435,
                145.98670143815494
              ]
            ],
            "tv": [
              146.2417157648025,
              150.5397100341435
            ],
            "delta": [
              0.8006032010096362,
              0.8006032010096362
            ],
            "residual": 0.8006032010096362,
            "minDelta": 0.8006032010096362,
            "maxDelta": 0.8006032010096362,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 80.06032010096334,
            "geometricBound": 80.79959417178611,
            "residualBound": 80.06032010096355,
            "lower": [
              225.5014326647564,
              229.79942693409743
            ],
            "upper": [
              225.5014326647564,
              229.79942693409743
            ],
            "policyLower": [
              225.5014326647564,
              229.79942693409743
            ],
            "optimalUpper": [
              225.5014326647564,
              229.79942693409743
            ],
            "certifiedStop": false,
            "shifted": [
              154.23134272774342,
              158.5293369970844
            ],
            "shiftDifference": [
              8.790230163950554,
              8.790230163950554
            ],
            "shiftExpected": 8.790230163950556,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7127008993701338,
              0.7127008993701338
            ],
            "approximate": [
              151.9250204982124,
              156.22301476755337
            ],
            "approximateTV": [
              152.66078461987783,
              156.95877888921882
            ],
            "approximateDelta": [
              0.7357641216654258,
              0.7357641216654542
            ],
            "approximateResidual": 0.7357641216654542,
            "approximateError": 73.5764121665438,
            "approximateBound": 87.28350210620589,
            "pathDistance": 6.483907934419534,
            "pathBound": 6.483907934419772,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8357641216654486
          },
          {
            "k": 105,
            "value": [
              146.2417157648025,
              150.5397100341435
            ],
            "q": [
              [
                145.7792986071545,
                147.03431293380206
              ],
              [
                151.33230720314302,
                146.7792986071545
              ]
            ],
            "tv": [
              147.03431293380206,
              151.33230720314302
            ],
            "delta": [
              0.7925971689995492,
              0.7925971689995208
            ],
            "residual": 0.7925971689995492,
            "minDelta": 0.7925971689995208,
            "maxDelta": 0.7925971689995492,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 79.2597168999537,
            "geometricBound": 79.99159823006825,
            "residualBound": 79.25971689995485,
            "lower": [
              225.50143266475453,
              229.7994269340955
            ],
            "upper": [
              225.50143266475737,
              229.79942693409834
            ],
            "policyLower": [
              225.50143266475453,
              229.7994269340955
            ],
            "optimalUpper": [
              225.50143266475737,
              229.79942693409834
            ],
            "certifiedStop": false,
            "shifted": [
              154.94404362711356,
              159.24203789645455
            ],
            "shiftDifference": [
              8.702327862311051,
              8.702327862311051
            ],
            "shiftExpected": 8.70232786231105,
            "shiftDefect": [
              1.7763568394002505e-15,
              1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7055738903764563,
              0.7055738903763995
            ],
            "approximate": [
              152.76078461987782,
              157.05877888921881
            ],
            "approximateTV": [
              153.48819110032662,
              157.78618536966758
            ],
            "approximateDelta": [
              0.7274064804487921,
              0.7274064804487637
            ],
            "approximateResidual": 0.7274064804487921,
            "approximateError": 72.74064804487838,
            "approximateBound": 86.51066708514382,
            "pathDistance": 6.519068855075318,
            "pathBound": 6.5190688550755755,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8274064804487864
          },
          {
            "k": 106,
            "value": [
              147.03431293380206,
              151.33230720314302
            ],
            "q": [
              [
                146.56396980446402,
                147.8189841311116
              ],
              [
                152.11697840045255,
                147.56396980446402
              ]
            ],
            "tv": [
              147.8189841311116,
              152.11697840045255
            ],
            "delta": [
              0.7846711973095353,
              0.7846711973095353
            ],
            "residual": 0.7846711973095353,
            "minDelta": 0.7846711973095353,
            "maxDelta": 0.7846711973095353,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 78.46711973095415,
            "geometricBound": 79.19168224776756,
            "residualBound": 78.46711973095346,
            "lower": [
              225.5014326647555,
              229.79942693409646
            ],
            "upper": [
              225.5014326647555,
              229.79942693409646
            ],
            "policyLower": [
              225.5014326647555,
              229.79942693409646
            ],
            "optimalUpper": [
              225.5014326647555,
              229.79942693409646
            ],
            "certifiedStop": false,
            "shifted": [
              155.64961751749001,
              159.94761178683095
            ],
            "shiftDifference": [
              8.615304583687958,
              8.61530458368793
            ],
            "shiftExpected": 8.615304583687939,
            "shiftDefect": [
              1.9539925233402755e-14,
              -8.881784197001252e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6985181514726264,
              0.6985181514726833
            ],
            "approximate": [
              153.5881911003266,
              157.88618536966757
            ],
            "approximateTV": [
              154.3073235159709,
              158.60531778531188
            ],
            "approximateDelta": [
              0.7191324156442818,
              0.7191324156443102
            ],
            "approximateResidual": 0.7191324156443102,
            "approximateError": 71.9132415644296,
            "approximateBound": 85.74556041429238,
            "pathDistance": 6.553878166524555,
            "pathBound": 6.55387816652482,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8191324156443045
          },
          {
            "k": 107,
            "value": [
              147.8189841311116,
              152.11697840045255
            ],
            "q": [
              [
                147.34079428980047,
                148.59580861644804
              ],
              [
                152.893802885789,
                148.34079428980047
              ]
            ],
            "tv": [
              148.59580861644804,
              152.893802885789
            ],
            "delta": [
              0.7768244853364479,
              0.7768244853364479
            ],
            "residual": 0.7768244853364479,
            "minDelta": 0.7768244853364479,
            "maxDelta": 0.7768244853364479,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 77.68244853364462,
            "geometricBound": 78.3997654252899,
            "residualBound": 77.68244853364472,
            "lower": [
              225.5014326647563,
              229.79942693409726
            ],
            "upper": [
              225.5014326647563,
              229.79942693409726
            ],
            "policyLower": [
              225.5014326647563,
              229.79942693409726
            ],
            "optimalUpper": [
              225.5014326647563,
              229.79942693409726
            ],
            "certifiedStop": false,
            "shifted": [
              156.34813566896264,
              160.64612993830363
            ],
            "shiftDifference": [
              8.52915153785105,
              8.529151537851078
            ],
            "shiftExpected": 8.52915153785106,
            "shiftDefect": [
              -1.0658141036401503e-14,
              1.7763568394002505e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6915329699579615,
              0.6915329699579331
            ],
            "approximate": [
              154.4073235159709,
              158.70531778531188
            ],
            "approximateTV": [
              155.11826460745877,
              159.41625887679973
            ],
            "approximateDelta": [
              0.7109410914878822,
              0.7109410914878538
            ],
            "approximateResidual": 0.7109410914878822,
            "approximateError": 71.09410914878532,
            "approximateBound": 84.98810481014947,
            "pathDistance": 6.588339384859324,
            "pathBound": 6.58833938485957,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8109410914878765
          },
          {
            "k": 108,
            "value": [
              148.59580861644804,
              152.893802885789
            ],
            "q": [
              [
                148.10985053028355,
                149.36486485693112
              ],
              [
                153.66285912627208,
                149.10985053028355
              ]
            ],
            "tv": [
              149.36486485693112,
              153.66285912627208
            ],
            "delta": [
              0.7690562404830814,
              0.7690562404830814
            ],
            "residual": 0.7690562404830814,
            "minDelta": 0.7690562404830814,
            "maxDelta": 0.7690562404830814,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 76.90562404830817,
            "geometricBound": 77.615767771037,
            "residualBound": 76.90562404830807,
            "lower": [
              225.50143266475612,
              229.79942693409708
            ],
            "upper": [
              225.50143266475612,
              229.79942693409708
            ],
            "policyLower": [
              225.50143266475612,
              229.79942693409708
            ],
            "optimalUpper": [
              225.50143266475612,
              229.79942693409708
            ],
            "certifiedStop": false,
            "shifted": [
              157.0396686389206,
              161.33766290826156
            ],
            "shiftDifference": [
              8.443860022472563,
              8.443860022472563
            ],
            "shiftExpected": 8.44386002247255,
            "shiftDefect": [
              1.2434497875801753e-14,
              1.2434497875801753e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6846176402583524,
              0.6846176402583524
            ],
            "approximate": [
              155.21826460745876,
              159.51625887679972
            ],
            "approximateTV": [
              155.92109628803172,
              160.2190905573727
            ],
            "approximateDelta": [
              0.702831680572956,
              0.7028316805729844
            ],
            "approximateResidual": 0.7028316805729844,
            "approximateError": 70.28316805729744,
            "approximateBound": 84.23822376204798,
            "pathDistance": 6.622455991010725,
            "pathBound": 6.622455991010975,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8028316805729787
          },
          {
            "k": 109,
            "value": [
              149.36486485693112,
              153.66285912627208
            ],
            "q": [
              [
                148.8712162083618,
                150.12623053500937
              ],
              [
                154.42422480435033,
                149.8712162083618
              ]
            ],
            "tv": [
              150.12623053500937,
              154.42422480435033
            ],
            "delta": [
              0.7613656780782492,
              0.7613656780782492
            ],
            "residual": 0.7613656780782492,
            "minDelta": 0.7613656780782492,
            "maxDelta": 0.7613656780782492,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 76.13656780782509,
            "geometricBound": 76.83961009332663,
            "residualBound": 76.13656780782485,
            "lower": [
              225.50143266475595,
              229.7994269340969
            ],
            "upper": [
              225.50143266475595,
              229.7994269340969
            ],
            "policyLower": [
              225.50143266475595,
              229.7994269340969
            ],
            "optimalUpper": [
              225.50143266475595,
              229.7994269340969
            ],
            "certifiedStop": false,
            "shifted": [
              157.72428627917895,
              162.02228054851992
            ],
            "shiftDifference": [
              8.359421422247834,
              8.359421422247834
            ],
            "shiftExpected": 8.359421422247824,
            "shiftDefect": [
              1.0658141036401503e-14,
              1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6777714638557484,
              0.6777714638557768
            ],
            "approximate": [
              156.0210962880317,
              160.3190905573727
            ],
            "approximateTV": [
              156.71589965179896,
              161.01389392113995
            ],
            "approximateDelta": [
              0.6948033637672495,
              0.6948033637672495
            ],
            "approximateResidual": 0.6948033637672495,
            "approximateError": 69.4803363767245,
            "approximateBound": 83.49584152442749,
            "pathDistance": 6.656231431100622,
            "pathBound": 6.6562314311008635,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7948033637672438
          },
          {
            "k": 110,
            "value": [
              150.12623053500937,
              154.42422480435033
            ],
            "q": [
              [
                149.6249682296593,
                150.87998255630683
              ],
              [
                155.17797682564782,
                150.6249682296593
              ]
            ],
            "tv": [
              150.87998255630683,
              155.17797682564782
            ],
            "delta": [
              0.7537520212974584,
              0.7537520212974869
            ],
            "residual": 0.7537520212974869,
            "minDelta": 0.7537520212974584,
            "maxDelta": 0.7537520212974869,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 75.37520212974684,
            "geometricBound": 76.07121399239335,
            "residualBound": 75.37520212974862,
            "lower": [
              225.50143266475516,
              229.79942693409612
            ],
            "upper": [
              225.501432664758,
              229.79942693409896
            ],
            "policyLower": [
              225.50143266475516,
              229.79942693409612
            ],
            "optimalUpper": [
              225.50143266475797,
              229.79942693409896
            ],
            "certifiedStop": false,
            "shifted": [
              158.4020577430347,
              162.7000520123757
            ],
            "shiftDifference": [
              8.275827208025333,
              8.275827208025362
            ],
            "shiftExpected": 8.275827208025346,
            "shiftDefect": [
              -1.2434497875801753e-14,
              1.5987211554602254e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6709937492172173,
              0.6709937492172173
            ],
            "approximate": [
              156.81589965179896,
              161.11389392113995
            ],
            "approximateTV": [
              157.50275498192855,
              161.80074925126954
            ],
            "approximateDelta": [
              0.686855330129589,
              0.686855330129589
            ],
            "approximateResidual": 0.686855330129589,
            "approximateError": 68.68553301295725,
            "approximateBound": 82.76088310918321,
            "pathDistance": 6.6896691167896165,
            "pathBound": 6.689669116789855,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7868553301295833
          },
          {
            "k": 111,
            "value": [
              150.87998255630683,
              155.17797682564782
            ],
            "q": [
              [
                150.37118273074375,
                151.62619705739135
              ],
              [
                155.9241913267323,
                151.37118273074375
              ]
            ],
            "tv": [
              151.62619705739135,
              155.9241913267323
            ],
            "delta": [
              0.7462145010845234,
              0.7462145010844949
            ],
            "residual": 0.7462145010845234,
            "minDelta": 0.7462145010844949,
            "maxDelta": 0.7462145010845234,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 74.62145010844938,
            "geometricBound": 75.31050185246943,
            "residualBound": 74.62145010845227,
            "lower": [
              225.50143266475624,
              229.79942693409726
            ],
            "upper": [
              225.50143266475908,
              229.7994269341001
            ],
            "policyLower": [
              225.5014326647563,
              229.79942693409726
            ],
            "optimalUpper": [
              225.5014326647591,
              229.79942693410007
            ],
            "certifiedStop": false,
            "shifted": [
              159.07305149225192,
              163.3710457615929
            ],
            "shiftDifference": [
              8.193068935945092,
              8.193068935945092
            ],
            "shiftExpected": 8.193068935945092,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6642838117250562,
              0.6642838117250562
            ],
            "approximate": [
              157.60275498192854,
              161.90074925126953
            ],
            "approximateTV": [
              158.28174175875682,
              162.5797360280978
            ],
            "approximateDelta": [
              0.6789867768282818,
              0.6789867768282818
            ],
            "approximateResidual": 0.6789867768282818,
            "approximateError": 67.89867768282767,
            "approximateBound": 82.03327427809138,
            "pathDistance": 6.722772425621713,
            "pathBound": 6.722772425621958,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7789867768282761
          },
          {
            "k": 112,
            "value": [
              151.62619705739135,
              155.9241913267323
            ],
            "q": [
              [
                151.10993508681744,
                152.36494941346498
              ],
              [
                156.66294368280597,
                152.10993508681744
              ]
            ],
            "tv": [
              152.36494941346498,
              156.66294368280597
            ],
            "delta": [
              0.7387523560736327,
              0.7387523560736611
            ],
            "residual": 0.7387523560736611,
            "minDelta": 0.7387523560736327,
            "maxDelta": 0.7387523560736611,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 73.87523560736486,
            "geometricBound": 74.55739683394474,
            "residualBound": 73.87523560736604,
            "lower": [
              225.50143266475453,
              229.7994269340955
            ],
            "upper": [
              225.50143266475737,
              229.79942693409834
            ],
            "policyLower": [
              225.50143266475453,
              229.79942693409555
            ],
            "optimalUpper": [
              225.50143266475737,
              229.79942693409836
            ],
            "certifiedStop": false,
            "shifted": [
              159.73733530397698,
              164.03532957331797
            ],
            "shiftDifference": [
              8.111138246585625,
              8.111138246585654
            ],
            "shiftExpected": 8.111138246585641,
            "shiftDefect": [
              -1.5987211554602254e-14,
              1.2434497875801753e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6576409736078119,
              0.6576409736077835
            ],
            "approximate": [
              158.38174175875682,
              162.6797360280978
            ],
            "approximateTV": [
              159.05293866781682,
              163.3509329371578
            ],
            "approximateDelta": [
              0.6711969090600007,
              0.6711969090600007
            ],
            "approximateResidual": 0.6711969090600007,
            "approximateError": 67.11969090599939,
            "approximateBound": 81.31294153531047,
            "pathDistance": 6.755544701365494,
            "pathBound": 6.7555447013657375,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.771196909059995
          },
          {
            "k": 113,
            "value": [
              152.36494941346498,
              156.66294368280597
            ],
            "q": [
              [
                151.84129991933034,
                153.0963142459779
              ],
              [
                157.3943085153189,
                152.84129991933034
              ]
            ],
            "tv": [
              153.0963142459779,
              157.3943085153189
            ],
            "delta": [
              0.7313648325129236,
              0.7313648325129236
            ],
            "residual": 0.7313648325129236,
            "minDelta": 0.7313648325129236,
            "maxDelta": 0.7313648325129236,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 73.13648325129122,
            "geometricBound": 73.81182286560528,
            "residualBound": 73.13648325129229,
            "lower": [
              225.50143266475726,
              229.79942693409828
            ],
            "upper": [
              225.50143266475726,
              229.79942693409828
            ],
            "policyLower": [
              225.50143266475726,
              229.79942693409828
            ],
            "optimalUpper": [
              225.50143266475726,
              229.79942693409828
            ],
            "certifiedStop": false,
            "shifted": [
              160.3949762775848,
              164.69297054692575
            ],
            "shiftDifference": [
              8.030026864119804,
              8.030026864119776
            ],
            "shiftExpected": 8.030026864119785,
            "shiftDefect": [
              1.9539925233402755e-14,
              -8.881784197001252e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6510645638716994,
              0.6510645638717278
            ],
            "approximate": [
              159.1529386678168,
              163.4509329371578
            ],
            "approximateTV": [
              159.81642360778622,
              164.1144178771272
            ],
            "approximateDelta": [
              0.6634849399694076,
              0.6634849399694076
            ],
            "approximateResidual": 0.6634849399694076,
            "approximateError": 66.3484939969394,
            "approximateBound": 80.59981211995736,
            "pathDistance": 6.787989254351828,
            "pathBound": 6.78798925435208,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7634849399694019
          },
          {
            "k": 114,
            "value": [
              153.0963142459779,
              157.3943085153189
            ],
            "q": [
              [
                152.56535110351814,
                153.8203654301657
              ],
              [
                158.1183596995067,
                153.56535110351814
              ]
            ],
            "tv": [
              153.8203654301657,
              158.1183596995067
            ],
            "delta": [
              0.7240511841878003,
              0.7240511841878003
            ],
            "residual": 0.7240511841878003,
            "minDelta": 0.7240511841878003,
            "maxDelta": 0.7240511841878003,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 72.4051184187783,
            "geometricBound": 73.07370463694923,
            "residualBound": 72.40511841877996,
            "lower": [
              225.50143266475789,
              229.79942693409885
            ],
            "upper": [
              225.50143266475789,
              229.79942693409885
            ],
            "policyLower": [
              225.50143266475789,
              229.79942693409885
            ],
            "optimalUpper": [
              225.50143266475789,
              229.79942693409885
            ],
            "certifiedStop": false,
            "shifted": [
              161.0460408414565,
              165.34403511079748
            ],
            "shiftDifference": [
              7.94972659547858,
              7.94972659547858
            ],
            "shiftExpected": 7.949726595478587,
            "shiftDefect": [
              -7.105427357601002e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6445539182330151,
              0.6445539182329867
            ],
            "approximate": [
              159.91642360778621,
              164.2144178771272
            ],
            "approximateTV": [
              160.57227369835593,
              164.87026796769692
            ],
            "approximateDelta": [
              0.6558500905697144,
              0.6558500905697144
            ],
            "approximateResidual": 0.6558500905697144,
            "approximateError": 65.58500905697,
            "approximateBound": 79.89381399875779,
            "pathDistance": 6.820109361808306,
            "pathBound": 6.8201093618085595,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7558500905697088
          },
          {
            "k": 115,
            "value": [
              153.8203654301657,
              158.1183596995067
            ],
            "q": [
              [
                153.28216177586404,
                154.53717610251164
              ],
              [
                158.8351703718526,
                154.28216177586404
              ]
            ],
            "tv": [
              154.53717610251164,
              158.8351703718526
            ],
            "delta": [
              0.7168106723459289,
              0.7168106723459005
            ],
            "residual": 0.7168106723459289,
            "minDelta": 0.7168106723459005,
            "maxDelta": 0.7168106723459289,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 71.6810672345905,
            "geometricBound": 72.34296759057973,
            "residualBound": 71.68106723459283,
            "lower": [
              225.5014326647557,
              229.7994269340967
            ],
            "upper": [
              225.50143266475854,
              229.79942693409953
            ],
            "policyLower": [
              225.50143266475573,
              229.7994269340967
            ],
            "optimalUpper": [
              225.50143266475854,
              229.7994269340995
            ],
            "certifiedStop": false,
            "shifted": [
              161.6905947596895,
              165.98858902903046
            ],
            "shiftDifference": [
              7.870229329523795,
              7.870229329523767
            ],
            "shiftExpected": 7.8702293295238,
            "shiftDefect": [
              -5.329070518200751e-15,
              -3.375077994860476e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6381083790506636,
              0.6381083790506636
            ],
            "approximate": [
              160.67227369835592,
              164.9702679676969
            ],
            "approximateTV": [
              161.32056528801994,
              165.6185595573609
            ],
            "approximateDelta": [
              0.6482915896640122,
              0.6482915896639838
            ],
            "approximateResidual": 0.6482915896640122,
            "approximateError": 64.82915896640029,
            "approximateBound": 79.1948758587702,
            "pathDistance": 6.851908268190215,
            "pathBound": 6.851908268190474,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7482915896640066
          },
          {
            "k": 116,
            "value": [
              154.53717610251164,
              158.8351703718526
            ],
            "q": [
              [
                153.99180434148653,
                155.24681866813407
              ],
              [
                159.54481293747506,
                154.99180434148653
              ]
            ],
            "tv": [
              155.24681866813407,
              159.54481293747506
            ],
            "delta": [
              0.7096425656224312,
              0.7096425656224596
            ],
            "residual": 0.7096425656224596,
            "minDelta": 0.7096425656224312,
            "maxDelta": 0.7096425656224596,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 70.96425656224457,
            "geometricBound": 71.61953791467393,
            "residualBound": 70.96425656224591,
            "lower": [
              225.5014326647547,
              229.79942693409566
            ],
            "upper": [
              225.50143266475754,
              229.7994269340985
            ],
            "policyLower": [
              225.5014326647547,
              229.79942693409566
            ],
            "optimalUpper": [
              225.50143266475752,
              229.7994269340985
            ],
            "certifiedStop": false,
            "shifted": [
              162.32870313874017,
              166.62669740808113
            ],
            "shiftDifference": [
              7.79152703622853,
              7.79152703622853
            ],
            "shiftExpected": 7.791527036228563,
            "shiftDefect": [
              -3.2862601528904634e-14,
              -3.2862601528904634e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6317272952601343,
              0.6317272952601627
            ],
            "approximate": [
              161.42056528801993,
              165.7185595573609
            ],
            "approximateTV": [
              162.06137396178727,
              166.35936823112826
            ],
            "approximateDelta": [
              0.6408086737673386,
              0.640808673767367
            ],
            "approximateResidual": 0.640808673767367,
            "approximateError": 64.08086737673628,
            "approximateBound": 78.50292710018249,
            "pathDistance": 6.8833891855082925,
            "pathBound": 6.883389185508569,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7408086737673614
          },
          {
            "k": 117,
            "value": [
              155.24681866813407,
              159.54481293747506
            ],
            "q": [
              [
                154.69435048145272,
                155.9493648081003
              ],
              [
                160.24735907744127,
                155.69435048145272
              ]
            ],
            "tv": [
              155.9493648081003,
              160.24735907744127
            ],
            "delta": [
              0.7025461399662447,
              0.7025461399662163
            ],
            "residual": 0.7025461399662447,
            "minDelta": 0.7025461399662163,
            "maxDelta": 0.7025461399662447,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 70.25461399662214,
            "geometricBound": 70.90334253552719,
            "residualBound": 70.25461399662441,
            "lower": [
              225.50143266475564,
              229.79942693409663
            ],
            "upper": [
              225.50143266475848,
              229.79942693409947
            ],
            "policyLower": [
              225.50143266475567,
              229.79942693409663
            ],
            "optimalUpper": [
              225.50143266475848,
              229.79942693409944
            ],
            "certifiedStop": false,
            "shifted": [
              162.9604304340003,
              167.2584247033413
            ],
            "shiftDifference": [
              7.713611765866233,
              7.713611765866233
            ],
            "shiftExpected": 7.713611765866276,
            "shiftDefect": [
              -4.3520742565306136e-14,
              -4.3520742565306136e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6254100223075625,
              0.6254100223075625
            ],
            "approximate": [
              162.16137396178726,
              166.45936823112825
            ],
            "approximateTV": [
              162.79477454881697,
              167.0927688181579
            ],
            "approximateDelta": [
              0.6334005870297119,
              0.6334005870296551
            ],
            "approximateResidual": 0.6334005870297119,
            "approximateError": 63.340058702968946,
            "approximateBound": 77.81789782918067,
            "pathDistance": 6.914555293653194,
            "pathBound": 6.914555293653483,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7334005870297062
          },
          {
            "k": 118,
            "value": [
              155.9493648081003,
              160.24735907744127
            ],
            "q": [
              [
                155.3898711600193,
                156.64488548666685
              ],
              [
                160.94287975600784,
                156.3898711600193
              ]
            ],
            "tv": [
              156.64488548666685,
              160.94287975600784
            ],
            "delta": [
              0.6955206785665382,
              0.6955206785665666
            ],
            "residual": 0.6955206785665666,
            "minDelta": 0.6955206785665382,
            "maxDelta": 0.6955206785665666,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 69.5520678566559,
            "geometricBound": 70.19430911017193,
            "residualBound": 69.5520678566566,
            "lower": [
              225.50143266475408,
              229.79942693409504
            ],
            "upper": [
              225.50143266475692,
              229.79942693409788
            ],
            "policyLower": [
              225.50143266475408,
              229.79942693409504
            ],
            "optimalUpper": [
              225.5014326647569,
              229.79942693409788
            ],
            "certifiedStop": false,
            "shifted": [
              163.58584045630786,
              167.88383472564885
            ],
            "shiftDifference": [
              7.636475648207551,
              7.636475648207579
            ],
            "shiftExpected": 7.636475648207615,
            "shiftDefect": [
              -6.394884621840902e-14,
              -3.552713678800501e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6191559220845022,
              0.6191559220845022
            ],
            "approximate": [
              162.89477454881697,
              167.1927688181579
            ],
            "approximateTV": [
              163.52084112997633,
              167.8188353993173
            ],
            "approximateDelta": [
              0.626066581159364,
              0.6260665811593924
            ],
            "approximateResidual": 0.6260665811593924,
            "approximateError": 62.60665811593927,
            "approximateBound": 77.13971885088888,
            "pathDistance": 6.945409740716656,
            "pathBound": 6.945409740716949,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7260665811593867
          },
          {
            "k": 119,
            "value": [
              156.64488548666685,
              160.94287975600784
            ],
            "q": [
              [
                156.07843663180017,
                157.33345095844777
              ],
              [
                161.6314452277887,
                157.07843663180017
              ]
            ],
            "tv": [
              157.33345095844777,
              161.6314452277887
            ],
            "delta": [
              0.6885654717809189,
              0.688565471780862
            ],
            "residual": 0.6885654717809189,
            "minDelta": 0.688565471780862,
            "maxDelta": 0.6885654717809189,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 68.85654717808936,
            "geometricBound": 69.4923660190702,
            "residualBound": 68.85654717809183,
            "lower": [
              225.501432664753,
              229.799426934094
            ],
            "upper": [
              225.50143266475868,
              229.79942693409967
            ],
            "policyLower": [
              225.50143266475305,
              229.79942693409396
            ],
            "optimalUpper": [
              225.50143266475868,
              229.7994269340996
            ],
            "certifiedStop": false,
            "shifted": [
              164.20499637839237,
              168.50299064773336
            ],
            "shiftDifference": [
              7.560110891725515,
              7.560110891725515
            ],
            "shiftExpected": 7.560110891725539,
            "shiftDefect": [
              -2.398081733190338e-14,
              -2.398081733190338e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6129643628636643,
              0.6129643628636359
            ],
            "approximate": [
              163.62084112997633,
              167.9188353993173
            ],
            "approximateTV": [
              164.23964704532412,
              168.53764131466508
            ],
            "approximateDelta": [
              0.6188059153477923,
              0.6188059153477923
            ],
            "approximateResidual": 0.6188059153477923,
            "approximateError": 61.88059153477988,
            "approximateBound": 76.46832166237998,
            "pathDistance": 6.975955643309476,
            "pathBound": 6.975955643309779,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7188059153477866
          },
          {
            "k": 120,
            "value": [
              157.33345095844777,
              161.6314452277887
            ],
            "q": [
              [
                156.7601164488633,
                158.0151307755108
              ],
              [
                162.3131250448518,
                157.7601164488633
              ]
            ],
            "tv": [
              158.0151307755108,
              162.3131250448518
            ],
            "delta": [
              0.681679817063042,
              0.6816798170630989
            ],
            "residual": 0.6816798170630989,
            "minDelta": 0.681679817063042,
            "maxDelta": 0.6816798170630989,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 68.16798170630847,
            "geometricBound": 68.7974423588795,
            "residualBound": 68.16798170630983,
            "lower": [
              225.50143266475192,
              229.79942693409285
            ],
            "upper": [
              225.5014326647576,
              229.79942693409853
            ],
            "policyLower": [
              225.50143266475192,
              229.7994269340929
            ],
            "optimalUpper": [
              225.50143266475754,
              229.79942693409853
            ],
            "certifiedStop": false,
            "shifted": [
              164.81796074125603,
              169.115955010597
            ],
            "shiftDifference": [
              7.48450978280826,
              7.4845097828082885
            ],
            "shiftExpected": 7.484509782808282,
            "shiftDefect": [
              -2.220446049250313e-14,
              6.217248937900877e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6068347192349961,
              0.6068347192349961
            ],
            "approximate": [
              164.3396470453241,
              168.63764131466507
            ],
            "approximateTV": [
              164.9512649015184,
              169.2492591708594
            ],
            "approximateDelta": [
              0.6116178561943002,
              0.6116178561943286
            ],
            "approximateResidual": 0.6116178561943286,
            "approximateError": 61.161785619432095,
            "approximateBound": 75.80363844575618,
            "pathDistance": 7.006196086876372,
            "pathBound": 7.006196086876681,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7116178561943229
          },
          {
            "k": 121,
            "value": [
              158.0151307755108,
              162.3131250448518
            ],
            "q": [
              [
                157.4349794677557,
                158.68999379440328
              ],
              [
                162.98798806374427,
                158.4349794677557
              ]
            ],
            "tv": [
              158.68999379440328,
              162.98798806374427
            ],
            "delta": [
              0.6748630188924665,
              0.6748630188924665
            ],
            "residual": 0.6748630188924665,
            "minDelta": 0.6748630188924665,
            "maxDelta": 0.6748630188924665,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 67.4863018892454,
            "geometricBound": 68.1094679352907,
            "residualBound": 67.48630188924659,
            "lower": [
              225.5014326647574,
              229.7994269340984
            ],
            "upper": [
              225.5014326647574,
              229.7994269340984
            ],
            "policyLower": [
              225.5014326647574,
              229.7994269340984
            ],
            "optimalUpper": [
              225.5014326647574,
              229.7994269340984
            ],
            "certifiedStop": false,
            "shifted": [
              165.42479546049103,
              169.722789729832
            ],
            "shiftDifference": [
              7.409664684980214,
              7.409664684980186
            ],
            "shiftExpected": 7.4096646849802,
            "shiftDefect": [
              1.4210854715202004e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6007663720426422,
              0.6007663720426706
            ],
            "approximate": [
              165.0512649015184,
              169.3492591708594
            ],
            "approximateTV": [
              165.6557665791508,
              169.95376084849178
            ],
            "approximateDelta": [
              0.6045016776323848,
              0.6045016776323848
            ],
            "approximateResidual": 0.6045016776323848,
            "approximateError": 60.4501677632378,
            "approximateBound": 75.1456020612986,
            "pathDistance": 7.036134126007596,
            "pathBound": 7.036134126007915,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.7045016776323791
          },
          {
            "k": 122,
            "value": [
              158.68999379440328,
              162.98798806374427
            ],
            "q": [
              [
                158.10309385645925,
                159.35810818310682
              ],
              [
                163.65610245244778,
                159.10309385645925
              ]
            ],
            "tv": [
              159.35810818310682,
              163.65610245244778
            ],
            "delta": [
              0.6681143887035432,
              0.6681143887035148
            ],
            "residual": 0.6681143887035432,
            "minDelta": 0.6681143887035148,
            "maxDelta": 0.6681143887035432,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 66.81143887035293,
            "geometricBound": 67.4283732559378,
            "residualBound": 66.81143887035427,
            "lower": [
              225.5014326647547,
              229.7994269340957
            ],
            "upper": [
              225.50143266475754,
              229.79942693409853
            ],
            "policyLower": [
              225.50143266475473,
              229.7994269340957
            ],
            "optimalUpper": [
              225.50143266475754,
              229.7994269340985
            ],
            "certifiedStop": false,
            "shifted": [
              166.02556183253367,
              170.32355610187466
            ],
            "shiftDifference": [
              7.33556803813039,
              7.33556803813039
            ],
            "shiftExpected": 7.335568038130398,
            "shiftDefect": [
              -7.993605777301127e-15,
              -7.993605777301127e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5947587083222459,
              0.5947587083222174
            ],
            "approximate": [
              165.7557665791508,
              170.05376084849178
            ],
            "approximateTV": [
              166.35322324000686,
              170.65121750934784
            ],
            "approximateDelta": [
              0.5974566608560679,
              0.5974566608560679
            ],
            "approximateResidual": 0.5974566608560679,
            "approximateError": 59.74566608560542,
            "approximateBound": 74.49414604068564,
            "pathDistance": 7.065772784747509,
            "pathBound": 7.0657727847478355,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6974566608560622
          },
          {
            "k": 123,
            "value": [
              159.35810818310682,
              163.65610245244778
            ],
            "q": [
              [
                158.76452710127575,
                160.01954142792331
              ],
              [
                164.31753569726428,
                159.76452710127575
              ]
            ],
            "tv": [
              160.01954142792331,
              164.31753569726428
            ],
            "delta": [
              0.661433244816493,
              0.661433244816493
            ],
            "residual": 0.661433244816493,
            "minDelta": 0.661433244816493,
            "maxDelta": 0.661433244816493,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 66.14332448164939,
            "geometricBound": 66.75408952337843,
            "residualBound": 66.14332448164924,
            "lower": [
              225.50143266475607,
              229.79942693409703
            ],
            "upper": [
              225.50143266475607,
              229.79942693409703
            ],
            "policyLower": [
              225.50143266475607,
              229.79942693409703
            ],
            "optimalUpper": [
              225.50143266475607,
              229.79942693409703
            ],
            "certifiedStop": false,
            "shifted": [
              166.62032054085591,
              170.91831481019688
            ],
            "shiftDifference": [
              7.2622123577490925,
              7.2622123577490925
            ],
            "shiftExpected": 7.262212357749094,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5888111212389902,
              0.5888111212390186
            ],
            "approximate": [
              166.45322324000685,
              170.75121750934784
            ],
            "approximateTV": [
              167.04370533425435,
              171.34169960359534
            ],
            "approximateDelta": [
              0.5904820942475055,
              0.5904820942475055
            ],
            "approximateResidual": 0.5904820942475055,
            "approximateError": 59.04820942474936,
            "approximateBound": 73.84920458027878,
            "pathDistance": 7.095115056900056,
            "pathBound": 7.095115056900358,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6904820942474998
          },
          {
            "k": 124,
            "value": [
              160.01954142792331,
              164.31753569726428
            ],
            "q": [
              [
                159.4193460136441,
                160.67436034029163
              ],
              [
                164.97235460963262,
                160.4193460136441
              ]
            ],
            "tv": [
              160.67436034029163,
              164.97235460963262
            ],
            "delta": [
              0.654818912368313,
              0.6548189123683414
            ],
            "residual": 0.6548189123683414,
            "minDelta": 0.654818912368313,
            "maxDelta": 0.6548189123683414,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 65.4818912368329,
            "geometricBound": 66.08654862814463,
            "residualBound": 65.48189123683409,
            "lower": [
              225.50143266475456,
              229.79942693409552
            ],
            "upper": [
              225.5014326647574,
              229.79942693409836
            ],
            "policyLower": [
              225.50143266475456,
              229.79942693409555
            ],
            "optimalUpper": [
              225.50143266475737,
              229.79942693409836
            ],
            "certifiedStop": false,
            "shifted": [
              167.2091316620949,
              171.5071259314359
            ],
            "shiftDifference": [
              7.18959023417159,
              7.189590234171618
            ],
            "shiftExpected": 7.189590234171603,
            "shiftDefect": [
              -1.3322676295501878e-14,
              1.509903313490213e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5829230100266329,
              0.5829230100266329
            ],
            "approximate": [
              167.14370533425435,
              171.44169960359534
            ],
            "approximateTV": [
              167.72728260755937,
              172.02527687690036
            ],
            "approximateDelta": [
              0.5835772733050248,
              0.5835772733050248
            ],
            "approximateResidual": 0.5835772733050248,
            "approximateError": 58.35772733050186,
            "approximateBound": 73.21071253447597,
            "pathDistance": 7.124163906331063,
            "pathBound": 7.124163906331353,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6835772733050192
          },
          {
            "k": 125,
            "value": [
              160.67436034029163,
              164.97235460963262
            ],
            "q": [
              [
                160.0676167368887,
                161.32263106353628
              ],
              [
                165.62062533287724,
                161.0676167368887
              ]
            ],
            "tv": [
              161.32263106353628,
              165.62062533287724
            ],
            "delta": [
              0.6482707232446501,
              0.6482707232446216
            ],
            "residual": 0.6482707232446501,
            "minDelta": 0.6482707232446216,
            "maxDelta": 0.6482707232446501,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 64.82707232446458,
            "geometricBound": 65.42568314186319,
            "residualBound": 64.82707232446495,
            "lower": [
              225.50143266475374,
              229.79942693409473
            ],
            "upper": [
              225.50143266475658,
              229.79942693409757
            ],
            "policyLower": [
              225.50143266475376,
              229.79942693409473
            ],
            "optimalUpper": [
              225.50143266475658,
              229.79942693409754
            ],
            "certifiedStop": false,
            "shifted": [
              167.79205467212154,
              172.09004894146253
            ],
            "shiftDifference": [
              7.1176943318299095,
              7.1176943318299095
            ],
            "shiftExpected": 7.117694331829886,
            "shiftDefect": [
              2.3092638912203256e-14,
              2.3092638912203256e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.577093779926372,
              0.5770937799263152
            ],
            "approximate": [
              167.82728260755937,
              172.12527687690036
            ],
            "approximateTV": [
              168.40402410813135,
              172.7020183774723
            ],
            "approximateDelta": [
              0.576741500571984,
              0.5767415005719556
            ],
            "approximateResidual": 0.576741500571984,
            "approximateError": 57.67415005719684,
            "approximateBound": 72.57860540913123,
            "pathDistance": 7.152922267267741,
            "pathBound": 7.152922267268039,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6767415005719783
          },
          {
            "k": 126,
            "value": [
              161.32263106353628,
              165.62062533287724
            ],
            "q": [
              [
                160.70940475290092,
                161.96441907954846
              ],
              [
                166.26241334888945,
                161.70940475290092
              ]
            ],
            "tv": [
              161.96441907954846,
              166.26241334888945
            ],
            "delta": [
              0.6417880160121854,
              0.6417880160122138
            ],
            "residual": 0.6417880160122138,
            "minDelta": 0.6417880160121854,
            "maxDelta": 0.6417880160122138,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 64.17880160121993,
            "geometricBound": 64.77142631044455,
            "residualBound": 64.17880160122132,
            "lower": [
              225.50143266475476,
              229.79942693409572
            ],
            "upper": [
              225.5014326647576,
              229.79942693409856
            ],
            "policyLower": [
              225.50143266475476,
              229.79942693409575
            ],
            "optimalUpper": [
              225.50143266475757,
              229.79942693409856
            ],
            "certifiedStop": false,
            "shifted": [
              168.3691484520479,
              172.66714272138884
            ],
            "shiftDifference": [
              7.0465173885116315,
              7.046517388511603
            ],
            "shiftExpected": 7.046517388511588,
            "shiftDefect": [
              4.3520742565306136e-14,
              1.509903313490213e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5713228421270458,
              0.571322842127131
            ],
            "approximate": [
              168.50402410813135,
              172.8020183774723
            ],
            "approximateTV": [
              169.07399819369758,
              173.37199246303857
            ],
            "approximateDelta": [
              0.5699740855662299,
              0.5699740855662583
            ],
            "approximateResidual": 0.5699740855662583,
            "approximateError": 56.99740855662486,
            "approximateBound": 71.9528193550399,
            "pathDistance": 7.181393044595069,
            "pathBound": 7.181393044595359,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6699740855662526
          },
          {
            "k": 127,
            "value": [
              161.96441907954846,
              166.26241334888945
            ],
            "q": [
              [
                161.34477488875297,
                162.59978921540056
              ],
              [
                166.8977834847415,
                162.34477488875297
              ]
            ],
            "tv": [
              162.59978921540056,
              166.8977834847415
            ],
            "delta": [
              0.6353701358520993,
              0.6353701358520425
            ],
            "residual": 0.6353701358520993,
            "minDelta": 0.6353701358520425,
            "maxDelta": 0.6353701358520993,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 63.537013585207745,
            "geometricBound": 64.1237120473401,
            "residualBound": 63.53701358520988,
            "lower": [
              225.50143266475266,
              229.79942693409365
            ],
            "upper": [
              225.50143266475834,
              229.79942693409933
            ],
            "policyLower": [
              225.5014326647527,
              229.79942693409365
            ],
            "optimalUpper": [
              225.50143266475834,
              229.79942693409927
            ],
            "certifiedStop": false,
            "shifted": [
              168.94047129417496,
              173.23846556351597
            ],
            "shiftDifference": [
              6.976052214626492,
              6.97605221462652
            ],
            "shiftExpected": 6.976052214626471,
            "shiftDefect": [
              2.042810365310288e-14,
              4.884981308350689e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5656096137058455,
              0.5656096137057887
            ],
            "approximate": [
              169.17399819369757,
              173.47199246303856
            ],
            "approximateTV": [
              169.73727253840818,
              174.03526680774914
            ],
            "approximateDelta": [
              0.5632743447106066,
              0.5632743447105781
            ],
            "approximateResidual": 0.5632743447106066,
            "approximateError": 56.32743447105864,
            "approximateBound": 71.33329116148951,
            "pathDistance": 7.209579114149108,
            "pathBound": 7.209579114149405,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6632743447106009
          },
          {
            "k": 128,
            "value": [
              162.59978921540056,
              166.8977834847415
            ],
            "q": [
              [
                161.97379132324656,
                163.22880564989407
              ],
              [
                167.5267999192351,
                162.97379132324656
              ]
            ],
            "tv": [
              163.22880564989407,
              167.5267999192351
            ],
            "delta": [
              0.6290164344935079,
              0.6290164344935931
            ],
            "residual": 0.6290164344935931,
            "minDelta": 0.6290164344935079,
            "maxDelta": 0.6290164344935931,
            "spanDelta": 8.526512829121202e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 8.441247700829982e-12,
            "error": 62.901643449355674,
            "geometricBound": 63.48247492686671,
            "residualBound": 62.901643449359256,
            "lower": [
              225.5014326647513,
              229.79942693409222
            ],
            "upper": [
              225.50143266475982,
              229.79942693410075
            ],
            "policyLower": [
              225.5014326647513,
              229.7994269340923
            ],
            "optimalUpper": [
              225.50143266475973,
              229.79942693410075
            ],
            "certifiedStop": false,
            "shifted": [
              169.5060809078808,
              173.80407517722176
            ],
            "shiftDifference": [
              6.906291692480238,
              6.906291692480266
            ],
            "shiftExpected": 6.906291692480207,
            "shiftDefect": [
              3.108624468950438e-14,
              5.950795411990839e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5599535175687436,
              0.559953517568772
            ],
            "approximate": [
              169.83727253840817,
              174.13526680774913
            ],
            "approximateTV": [
              170.39391413967164,
              174.69190840901263
            ],
            "approximateDelta": [
              0.5566416012634647,
              0.5566416012634932
            ],
            "approximateResidual": 0.5566416012634932,
            "approximateError": 55.66416012634804,
            "approximateBound": 70.71995824987462,
            "pathDistance": 7.237483323007638,
            "pathBound": 7.237483323007911,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6566416012634875
          },
          {
            "k": 129,
            "value": [
              163.22880564989407,
              167.5267999192351
            ],
            "q": [
              [
                162.59651759339513,
                163.85153192004273
              ],
              [
                168.1495261893837,
                163.59651759339513
              ]
            ],
            "tv": [
              163.85153192004273,
              168.1495261893837
            ],
            "delta": [
              0.6227262701486609,
              0.622726270148604
            ],
            "residual": 0.6227262701486609,
            "minDelta": 0.622726270148604,
            "maxDelta": 0.6227262701486609,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 62.27262701486214,
            "geometricBound": 62.84765017759804,
            "residualBound": 62.27262701486603,
            "lower": [
              225.50143266475442,
              229.79942693409544
            ],
            "upper": [
              225.5014326647601,
              229.79942693410112
            ],
            "policyLower": [
              225.50143266475447,
              229.79942693409544
            ],
            "optimalUpper": [
              225.5014326647601,
              229.79942693410106
            ],
            "certifiedStop": false,
            "shifted": [
              170.06603442544954,
              174.36402869479053
            ],
            "shiftDifference": [
              6.837228775555474,
              6.837228775555445
            ],
            "shiftExpected": 6.837228775555405,
            "shiftDefect": [
              6.838973831690964e-14,
              3.9968028886505635e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5543539823930814,
              0.5543539823930814
            ],
            "approximate": [
              170.49391413967163,
              174.79190840901262
            ],
            "approximateTV": [
              171.0439893249225,
              175.34198359426344
            ],
            "approximateDelta": [
              0.5500751852508756,
              0.5500751852508188
            ],
            "approximateResidual": 0.5500751852508756,
            "approximateError": 55.00751852508458,
            "approximateBound": 70.11275866737587,
            "pathDistance": 7.26510848977756,
            "pathBound": 7.265108489777832,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6500751852508699
          },
          {
            "k": 130,
            "value": [
              163.85153192004273,
              168.1495261893837
            ],
            "q": [
              [
                163.2130166008423,
                164.46803092748985
              ],
              [
                168.76602519683084,
                164.2130166008423
              ]
            ],
            "tv": [
              164.46803092748985,
              168.76602519683084
            ],
            "delta": [
              0.6164990074471177,
              0.6164990074471461
            ],
            "residual": 0.6164990074471461,
            "minDelta": 0.6164990074471177,
            "maxDelta": 0.6164990074471461,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 61.64990074471348,
            "geometricBound": 62.21917367582206,
            "residualBound": 61.64990074471456,
            "lower": [
              225.50143266475445,
              229.7994269340954
            ],
            "upper": [
              225.5014326647573,
              229.79942693409825
            ],
            "policyLower": [
              225.50143266475445,
              229.79942693409544
            ],
            "optimalUpper": [
              225.50143266475726,
              229.79942693409825
            ],
            "certifiedStop": false,
            "shifted": [
              170.62038840784263,
              174.91838267718362
            ],
            "shiftDifference": [
              6.768856487799894,
              6.768856487799923
            ],
            "shiftExpected": 6.768856487799852,
            "shiftDefect": [
              4.263256414560601e-14,
              7.105427357601002e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5488104425691631,
              0.5488104425691347
            ],
            "approximate": [
              171.1439893249225,
              175.44198359426343
            ],
            "approximateTV": [
              171.6875637583208,
              175.98555802766177
            ],
            "approximateDelta": [
              0.5435744333983052,
              0.5435744333983337
            ],
            "approximateResidual": 0.5435744333983337,
            "approximateError": 54.357443339833736,
            "approximateBound": 69.51163108070212,
            "pathDistance": 7.2924574048797695,
            "pathBound": 7.292457404880054,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.643574433398328
          },
          {
            "k": 131,
            "value": [
              164.46803092748985,
              168.76602519683084
            ],
            "q": [
              [
                163.82335061821496,
                165.07836494486253
              ],
              [
                169.3763592142035,
                164.82335061821496
              ]
            ],
            "tv": [
              165.07836494486253,
              169.3763592142035
            ],
            "delta": [
              0.6103340173726792,
              0.6103340173726508
            ],
            "residual": 0.6103340173726792,
            "minDelta": 0.6103340173726508,
            "maxDelta": 0.6103340173726792,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 61.03340173726636,
            "geometricBound": 61.59698193906384,
            "residualBound": 61.033401737267866,
            "lower": [
              225.50143266475487,
              229.79942693409586
            ],
            "upper": [
              225.50143266475771,
              229.7994269340987
            ],
            "policyLower": [
              225.5014326647549,
              229.79942693409586
            ],
            "optimalUpper": [
              225.50143266475771,
              229.79942693409868
            ],
            "certifiedStop": false,
            "shifted": [
              171.1691988504118,
              175.46719311975275
            ],
            "shiftDifference": [
              6.70116792292194,
              6.701167922921911
            ],
            "shiftExpected": 6.701167922921853,
            "shiftDefect": [
              8.704148513061227e-14,
              5.861977570020827e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5433223381434402,
              0.5433223381434402
            ],
            "approximate": [
              171.7875637583208,
              176.08555802766176
            ],
            "approximateTV": [
              172.32470244738514,
              176.62269671672613
            ],
            "approximateDelta": [
              0.537138689064335,
              0.5371386890643635
            ],
            "approximateResidual": 0.5371386890643635,
            "approximateError": 53.71386890643541,
            "approximateBound": 68.91651476989509,
            "pathDistance": 7.319532830830951,
            "pathBound": 7.319532830831253,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6371386890643578
          },
          {
            "k": 132,
            "value": [
              165.07836494486253,
              169.3763592142035
            ],
            "q": [
              [
                164.42758129541392,
                165.68259562206146
              ],
              [
                169.98058989140245,
                165.42758129541392
              ]
            ],
            "tv": [
              165.68259562206146,
              169.98058989140245
            ],
            "delta": [
              0.6042306771989274,
              0.6042306771989558
            ],
            "residual": 0.6042306771989558,
            "minDelta": 0.6042306771989274,
            "maxDelta": 0.6042306771989558,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 60.42306771989368,
            "geometricBound": 60.981012119673196,
            "residualBound": 60.42306771989553,
            "lower": [
              225.5014326647552,
              229.79942693409618
            ],
            "upper": [
              225.50143266475806,
              229.79942693409902
            ],
            "policyLower": [
              225.5014326647552,
              229.7994269340962
            ],
            "optimalUpper": [
              225.50143266475803,
              229.79942693409902
            ],
            "certifiedStop": false,
            "shifted": [
              171.71252118855523,
              176.0105154578962
            ],
            "shiftDifference": [
              6.634156243692701,
              6.634156243692701
            ],
            "shiftExpected": 6.634156243692633,
            "shiftDefect": [
              6.750155989720952e-14,
              6.750155989720952e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5378891147620095,
              0.5378891147620095
            ],
            "approximate": [
              172.42470244738513,
              176.72269671672612
            ],
            "approximateTV": [
              172.95546974955886,
              177.25346401889982
            ],
            "approximateDelta": [
              0.5307673021737287,
              0.5307673021737003
            ],
            "approximateResidual": 0.5307673021737287,
            "approximateError": 53.07673021737108,
            "approximateBound": 68.32734962219614,
            "pathDistance": 7.34633750252263,
            "pathBound": 7.34633750252294,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.630767302173723
          },
          {
            "k": 133,
            "value": [
              165.68259562206146,
              169.98058989140245
            ],
            "q": [
              [
                165.02576966584084,
                166.2807839924884
              ],
              [
                170.5787782618294,
                166.02576966584084
              ]
            ],
            "tv": [
              166.2807839924884,
              170.5787782618294
            ],
            "delta": [
              0.5981883704269535,
              0.5981883704269535
            ],
            "residual": 0.5981883704269535,
            "minDelta": 0.5981883704269535,
            "maxDelta": 0.5981883704269535,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 59.81883704269475,
            "geometricBound": 60.37120199847646,
            "residualBound": 59.8188370426953,
            "lower": [
              225.50143266475675,
              229.79942693409774
            ],
            "upper": [
              225.50143266475675,
              229.79942693409774
            ],
            "policyLower": [
              225.50143266475675,
              229.79942693409774
            ],
            "optimalUpper": [
              225.50143266475675,
              229.79942693409774
            ],
            "certifiedStop": false,
            "shifted": [
              172.25041030331724,
              176.5484045726582
            ],
            "shiftDifference": [
              6.567814681255783,
              6.567814681255754
            ],
            "shiftExpected": 6.567814681255707,
            "shiftDefect": [
              7.549516567451064e-14,
              4.707345624410664e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5325102236143664,
              0.5325102236143948
            ],
            "approximate": [
              173.05546974955885,
              177.3534640188998
            ],
            "approximateTV": [
              173.5799293787108,
              177.8779236480518
            ],
            "approximateDelta": [
              0.5244596291519485,
              0.524459629151977
            ],
            "approximateResidual": 0.524459629151977,
            "approximateError": 52.445962915197356,
            "approximateBound": 67.74407612597417,
            "pathDistance": 7.372874127497397,
            "pathBound": 7.372874127497711,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6244596291519713
          },
          {
            "k": 134,
            "value": [
              166.2807839924884,
              170.5787782618294
            ],
            "q": [
              [
                165.61797615256353,
                166.8729904792111
              ],
              [
                171.17098474855206,
                166.61797615256353
              ]
            ],
            "tv": [
              166.8729904792111,
              171.17098474855206
            ],
            "delta": [
              0.5922064867226879,
              0.5922064867226595
            ],
            "residual": 0.5922064867226879,
            "minDelta": 0.5922064867226595,
            "maxDelta": 0.5922064867226879,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 59.2206486722678,
            "geometricBound": 59.7674899784917,
            "residualBound": 59.220648672268744,
            "lower": [
              225.5014326647543,
              229.7994269340953
            ],
            "upper": [
              225.50143266475715,
              229.79942693409814
            ],
            "policyLower": [
              225.50143266475433,
              229.7994269340953
            ],
            "optimalUpper": [
              225.50143266475715,
              229.7994269340981
            ],
            "certifiedStop": false,
            "shifted": [
              172.7829205269316,
              177.0809147962726
            ],
            "shiftDifference": [
              6.502136534443196,
              6.502136534443196
            ],
            "shiftExpected": 6.502136534443151,
            "shiftDefect": [
              4.440892098500626e-14,
              4.440892098500626e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5271851213782668,
              0.5271851213782099
            ],
            "approximate": [
              173.6799293787108,
              177.97792364805179
            ],
            "approximateTV": [
              174.19814441157126,
              178.49613868091225
            ],
            "approximateDelta": [
              0.5182150328604678,
              0.5182150328604678
            ],
            "approximateResidual": 0.5182150328604678,
            "approximateError": 51.82150328604541,
            "approximateBound": 67.16663536471444,
            "pathDistance": 7.399145386222386,
            "pathBound": 7.399145386222734,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6182150328604621
          },
          {
            "k": 135,
            "value": [
              166.8729904792111,
              171.17098474855206
            ],
            "q": [
              [
                166.20426057441898,
                167.45927490106655
              ],
              [
                171.7572691704075,
                167.20426057441898
              ]
            ],
            "tv": [
              167.45927490106655,
              171.7572691704075
            ],
            "delta": [
              0.5862844218554528,
              0.5862844218554528
            ],
            "residual": 0.5862844218554528,
            "minDelta": 0.5862844218554528,
            "maxDelta": 0.5862844218554528,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 58.62844218554511,
            "geometricBound": 59.16981507870678,
            "residualBound": 58.62844218554523,
            "lower": [
              225.50143266475632,
              229.79942693409728
            ],
            "upper": [
              225.50143266475632,
              229.79942693409728
            ],
            "policyLower": [
              225.50143266475632,
              229.79942693409728
            ],
            "optimalUpper": [
              225.50143266475632,
              229.79942693409728
            ],
            "certifiedStop": false,
            "shifted": [
              173.31010564830987,
              177.6080999176508
            ],
            "shiftDifference": [
              6.4371151690987745,
              6.437115169098746
            ],
            "shiftExpected": 6.4371151690987185,
            "shiftDefect": [
              5.595524044110789e-14,
              2.7533531010703882e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5219132701644185,
              0.5219132701644753
            ],
            "approximate": [
              174.29814441157126,
              178.59613868091225
            ],
            "approximateTV": [
              174.8101772941031,
              179.1081715634441
            ],
            "approximateDelta": [
              0.5120328825318552,
              0.5120328825318552
            ],
            "approximateResidual": 0.5120328825318552,
            "approximateError": 51.20328825318495,
            "approximateBound": 66.59496901106729,
            "pathDistance": 7.425153932360189,
            "pathBound": 7.425153932360506,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6120328825318495
          },
          {
            "k": 136,
            "value": [
              167.45927490106655,
              171.7572691704075
            ],
            "q": [
              [
                166.7846821520559,
                168.03969647870343
              ],
              [
                172.33769074804442,
                167.7846821520559
              ]
            ],
            "tv": [
              168.03969647870343,
              172.33769074804442
            ],
            "delta": [
              0.5804215776368835,
              0.5804215776369119
            ],
            "residual": 0.5804215776369119,
            "minDelta": 0.5804215776368835,
            "maxDelta": 0.5804215776369119,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 58.04215776368966,
            "geometricBound": 58.578116927919716,
            "residualBound": 58.042157763691144,
            "lower": [
              225.50143266475484,
              229.7994269340958
            ],
            "upper": [
              225.5014326647577,
              229.79942693409865
            ],
            "policyLower": [
              225.50143266475484,
              229.79942693409583
            ],
            "optimalUpper": [
              225.50143266475766,
              229.79942693409865
            ],
            "certifiedStop": false,
            "shifted": [
              173.8320189184743,
              178.13001318781528
            ],
            "shiftDifference": [
              6.37274401740774,
              6.3727440174077685
            ],
            "shiftExpected": 6.372744017407732,
            "shiftDefect": [
              7.993605777301127e-15,
              3.6415315207705135e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5166941374628493,
              0.5166941374628209
            ],
            "approximate": [
              174.9101772941031,
              179.2081715634441
            ],
            "approximateTV": [
              175.41608984780964,
              179.71408411715063
            ],
            "approximateDelta": [
              0.505912553706537,
              0.505912553706537
            ],
            "approximateResidual": 0.505912553706537,
            "approximateError": 50.5912553706531,
            "approximateBound": 66.02901932095662,
            "pathDistance": 7.450902393036586,
            "pathBound": 7.4509023930369,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6059125537065313
          },
          {
            "k": 137,
            "value": [
              168.03969647870343,
              172.33769074804442
            ],
            "q": [
              [
                167.3592995139164,
                168.61431384056397
              ],
              [
                172.91230810990493,
                168.3592995139164
              ]
            ],
            "tv": [
              168.61431384056397,
              172.91230810990493
            ],
            "delta": [
              0.5746173618605326,
              0.5746173618605042
            ],
            "residual": 0.5746173618605326,
            "minDelta": 0.5746173618605042,
            "maxDelta": 0.5746173618605326,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 57.461736186052775,
            "geometricBound": 57.99233575864052,
            "residualBound": 57.46173618605321,
            "lower": [
              225.5014326647538,
              229.79942693409478
            ],
            "upper": [
              225.50143266475663,
              229.79942693409762
            ],
            "policyLower": [
              225.50143266475382,
              229.79942693409478
            ],
            "optimalUpper": [
              225.50143266475663,
              229.7994269340976
            ],
            "certifiedStop": false,
            "shifted": [
              174.34871305593714,
              178.6467073252781
            ],
            "shiftDifference": [
              6.309016577233706,
              6.3090165772336775
            ],
            "shiftExpected": 6.309016577233654,
            "shiftDefect": [
              5.1514348342607263e-14,
              2.3092638912203256e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5115271960881671,
              0.5115271960881955
            ],
            "approximate": [
              175.51608984780964,
              179.81408411715063
            ],
            "approximateTV": [
              176.0159432759791,
              180.3139375453201
            ],
            "approximateDelta": [
              0.4998534281694731,
              0.4998534281694731
            ],
            "approximateResidual": 0.4998534281694731,
            "approximateError": 49.98534281694657,
            "approximateBound": 65.46872912774705,
            "pathDistance": 7.476393369106205,
            "pathBound": 7.476393369106531,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5998534281694674
          },
          {
            "k": 138,
            "value": [
              168.61431384056397,
              172.91230810990493
            ],
            "q": [
              [
                167.92817070215833,
                169.18318502880587
              ],
              [
                173.48117929814686,
                168.92817070215833
              ]
            ],
            "tv": [
              169.18318502880587,
              173.48117929814686
            ],
            "delta": [
              0.5688711882419,
              0.5688711882419284
            ],
            "residual": 0.5688711882419284,
            "minDelta": 0.5688711882419,
            "maxDelta": 0.5688711882419284,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 56.88711882419224,
            "geometricBound": 57.41241240105411,
            "residualBound": 56.88711882419279,
            "lower": [
              225.5014326647539,
              229.79942693409487
            ],
            "upper": [
              225.50143266475675,
              229.7994269340977
            ],
            "policyLower": [
              225.5014326647539,
              229.7994269340949
            ],
            "optimalUpper": [
              225.50143266475672,
              229.7994269340977
            ],
            "certifiedStop": false,
            "shifted": [
              174.8602402520253,
              179.1582345213663
            ],
            "shiftDifference": [
              6.24592641146134,
              6.245926411461369
            ],
            "shiftExpected": 6.245926411461317,
            "shiftDefect": [
              2.3092638912203256e-14,
              5.1514348342607263e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5064119241273204,
              0.5064119241273204
            ],
            "approximate": [
              176.1159432759791,
              180.4139375453201
            ],
            "approximateTV": [
              176.6097981698669,
              180.90779243920787
            ],
            "approximateDelta": [
              0.4938548938878,
              0.4938548938877716
            ],
            "approximateResidual": 0.4938548938878,
            "approximateError": 49.3854893887771,
            "approximateBound": 64.91404183646958,
            "pathDistance": 7.501629435415168,
            "pathBound": 7.501629435415467,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5938548938877943
          },
          {
            "k": 139,
            "value": [
              169.18318502880587,
              173.48117929814686
            ],
            "q": [
              [
                168.4913531785178,
                169.74636750516538
              ],
              [
                174.04436177450637,
                169.4913531785178
              ]
            ],
            "tv": [
              169.74636750516538,
              174.04436177450637
            ],
            "delta": [
              0.5631824763595148,
              0.5631824763595148
            ],
            "residual": 0.5631824763595148,
            "minDelta": 0.5631824763595148,
            "maxDelta": 0.5631824763595148,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 56.31824763595034,
            "geometricBound": 56.83828827704357,
            "residualBound": 56.31824763595143,
            "lower": [
              225.5014326647573,
              229.79942693409828
            ],
            "upper": [
              225.5014326647573,
              229.79942693409828
            ],
            "policyLower": [
              225.5014326647573,
              229.79942693409828
            ],
            "optimalUpper": [
              225.5014326647573,
              229.79942693409828
            ],
            "certifiedStop": false,
            "shifted": [
              175.36665217615263,
              179.66464644549362
            ],
            "shiftDifference": [
              6.183467147346761,
              6.183467147346761
            ],
            "shiftExpected": 6.183467147346704,
            "shiftDefect": [
              5.684341886080802e-14,
              5.684341886080802e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.501347804886052,
              0.5013478048860236
            ],
            "approximate": [
              176.7097981698669,
              181.00779243920786
            ],
            "approximateTV": [
              177.19771451481577,
              181.49570878415676
            ],
            "approximateDelta": [
              0.4879163449488715,
              0.4879163449488999
            ],
            "approximateResidual": 0.4879163449488999,
            "approximateError": 48.79163449488931,
            "approximateBound": 64.36490141810488,
            "pathDistance": 7.526613141061034,
            "pathBound": 7.526613141061311,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5879163449488942
          },
          {
            "k": 140,
            "value": [
              169.74636750516538,
              174.04436177450637
            ],
            "q": [
              [
                169.04890383011372,
                170.3039181567613
              ],
              [
                174.60191242610225,
                170.04890383011372
              ]
            ],
            "tv": [
              170.3039181567613,
              174.60191242610225
            ],
            "delta": [
              0.5575506515959319,
              0.557550651595875
            ],
            "residual": 0.5575506515959319,
            "minDelta": 0.557550651595875,
            "maxDelta": 0.5575506515959319,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 55.75506515959083,
            "geometricBound": 56.26990539427313,
            "residualBound": 55.75506515959314,
            "lower": [
              225.50143266475283,
              229.79942693409382
            ],
            "upper": [
              225.5014326647585,
              229.7994269340995
            ],
            "policyLower": [
              225.50143266475288,
              229.79942693409382
            ],
            "optimalUpper": [
              225.5014326647585,
              229.79942693409947
            ],
            "certifiedStop": false,
            "shifted": [
              175.86799998103868,
              180.16599425037964
            ],
            "shiftDifference": [
              6.121632475873298,
              6.12163247587327
            ],
            "shiftExpected": 6.121632475873237,
            "shiftDefect": [
              6.128431095930864e-14,
              3.2862601528904634e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4963343268371716,
              0.4963343268371716
            ],
            "approximate": [
              177.29771451481577,
              181.59570878415676
            ],
            "approximateTV": [
              177.77975169631517,
              182.07774596565616
            ],
            "approximateDelta": [
              0.48203718149940755,
              0.48203718149940755
            ],
            "approximateResidual": 0.48203718149940755,
            "approximateError": 48.20371814994044,
            "approximateBound": 63.82125240392383,
            "pathDistance": 7.551347009650385,
            "pathBound": 7.551347009650698,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5820371814994019
          },
          {
            "k": 141,
            "value": [
              170.3039181567613,
              174.60191242610225
            ],
            "q": [
              [
                169.6008789751937,
                170.85589330184123
              ],
              [
                175.15388757118222,
                170.6008789751937
              ]
            ],
            "tv": [
              170.85589330184123,
              175.15388757118222
            ],
            "delta": [
              0.551975145079922,
              0.5519751450799788
            ],
            "residual": 0.5519751450799788,
            "minDelta": 0.551975145079922,
            "maxDelta": 0.5519751450799788,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 55.197514507994924,
            "geometricBound": 55.7072063403304,
            "residualBound": 55.19751450799783,
            "lower": [
              225.50143266475345,
              229.79942693409438
            ],
            "upper": [
              225.50143266475914,
              229.79942693410007
            ],
            "policyLower": [
              225.50143266475345,
              229.79942693409447
            ],
            "optimalUpper": [
              225.50143266475908,
              229.7994269341001
            ],
            "certifiedStop": false,
            "shifted": [
              176.36433430787585,
              180.6623285772168
            ],
            "shiftDifference": [
              6.060416151114538,
              6.060416151114566
            ],
            "shiftExpected": 6.060416151114505,
            "shiftDefect": [
              3.2862601528904634e-14,
              6.128431095930864e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4913709835687996,
              0.4913709835687996
            ],
            "approximate": [
              177.87975169631517,
              182.17774596565616
            ],
            "approximateTV": [
              178.35596850599958,
              182.65396277534057
            ],
            "approximateDelta": [
              0.4762168096844164,
              0.4762168096844164
            ],
            "approximateResidual": 0.4762168096844164,
            "approximateError": 47.62168096844104,
            "approximateBound": 63.28303987988459,
            "pathDistance": 7.575833539553912,
            "pathBound": 7.575833539554191,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5762168096844107
          },
          {
            "k": 142,
            "value": [
              170.85589330184123,
              175.15388757118222
            ],
            "q": [
              [
                170.1473343688228,
                171.4023486954704
              ],
              [
                175.70034296481137,
                171.1473343688228
              ]
            ],
            "tv": [
              171.4023486954704,
              175.70034296481137
            ],
            "delta": [
              0.5464553936291736,
              0.5464553936291452
            ],
            "residual": 0.5464553936291736,
            "minDelta": 0.5464553936291452,
            "maxDelta": 0.5464553936291736,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 54.645539362914974,
            "geometricBound": 55.1501342769271,
            "residualBound": 54.64553936291731,
            "lower": [
              225.5014326647557,
              229.7994269340967
            ],
            "upper": [
              225.50143266475854,
              229.79942693409953
            ],
            "policyLower": [
              225.50143266475573,
              229.7994269340967
            ],
            "optimalUpper": [
              225.50143266475854,
              229.7994269340995
            ],
            "certifiedStop": false,
            "shifted": [
              176.85570529144465,
              181.1536995607856
            ],
            "shiftDifference": [
              5.999811989603415,
              5.999811989603387
            ],
            "shiftExpected": 5.9998119896033595,
            "shiftDefect": [
              5.595524044110789e-14,
              2.7533531010703882e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.48645727373309455,
              0.486457273733123
            ],
            "approximate": [
              178.45596850599958,
              182.75396277534057
            ],
            "approximateTV": [
              178.92642314758717,
              183.2244174169281
            ],
            "approximateDelta": [
              0.47045464158759387,
              0.470454641587537
            ],
            "approximateResidual": 0.47045464158759387,
            "approximateError": 47.04546415875663,
            "approximateBound": 62.75020948108575,
            "pathDistance": 7.600075204158344,
            "pathBound": 7.6000752041586495,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5704546415875882
          },
          {
            "k": 143,
            "value": [
              171.4023486954704,
              175.70034296481137
            ],
            "q": [
              [
                170.6883252085157,
                171.94333953516326
              ],
              [
                176.24133380450422,
                171.6883252085157
              ]
            ],
            "tv": [
              171.94333953516326,
              176.24133380450422
            ],
            "delta": [
              0.5409908396928529,
              0.5409908396928529
            ],
            "residual": 0.5409908396928529,
            "minDelta": 0.5409908396928529,
            "maxDelta": 0.5409908396928529,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 54.0990839692858,
            "geometricBound": 54.59863293415782,
            "residualBound": 54.09908396928524,
            "lower": [
              225.50143266475564,
              229.7994269340966
            ],
            "upper": [
              225.50143266475564,
              229.7994269340966
            ],
            "policyLower": [
              225.50143266475564,
              229.7994269340966
            ],
            "optimalUpper": [
              225.50143266475564,
              229.7994269340966
            ],
            "certifiedStop": false,
            "shifted": [
              177.34216256517774,
              181.64015683451873
            ],
            "shiftDifference": [
              5.939813869707336,
              5.939813869707365
            ],
            "shiftExpected": 5.939813869707326,
            "shiftDefect": [
              1.0658141036401503e-14,
              3.907985046680551e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.48159270099580453,
              0.48159270099580453
            ],
            "approximate": [
              179.02642314758717,
              183.3244174169281
            ],
            "approximateTV": [
              179.4911732427588,
              183.7891675120998
            ],
            "approximateDelta": [
              0.4647500951716381,
              0.46475009517169497
            ],
            "approximateResidual": 0.46475009517169497,
            "approximateError": 46.47500951716907,
            "approximateBound": 62.222707386274884,
            "pathDistance": 7.6240744521167585,
            "pathBound": 7.624074452117063,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5647500951716893
          },
          {
            "k": 144,
            "value": [
              171.94333953516326,
              176.24133380450422
            ],
            "q": [
              [
                171.22390613981162,
                172.4789204664592
              ],
              [
                176.77691473580015,
                172.22390613981162
              ]
            ],
            "tv": [
              172.4789204664592,
              176.77691473580015
            ],
            "delta": [
              0.5355809312959252,
              0.5355809312959252
            ],
            "residual": 0.5355809312959252,
            "minDelta": 0.5355809312959252,
            "maxDelta": 0.5355809312959252,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 53.55809312959295,
            "geometricBound": 54.052646604816246,
            "residualBound": 53.55809312959247,
            "lower": [
              225.50143266475573,
              229.7994269340967
            ],
            "upper": [
              225.50143266475573,
              229.7994269340967
            ],
            "policyLower": [
              225.50143266475573,
              229.7994269340967
            ],
            "optimalUpper": [
              225.50143266475573,
              229.7994269340967
            ],
            "certifiedStop": false,
            "shifted": [
              177.82375526617355,
              182.12174953551454
            ],
            "shiftDifference": [
              5.880415731010288,
              5.8804157310103164
            ],
            "shiftExpected": 5.880415731010253,
            "shiftDefect": [
              3.4638958368304884e-14,
              6.306066779870889e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.47677677398584706,
              0.47677677398581864
            ],
            "approximate": [
              179.5911732427588,
              183.8891675120998
            ],
            "approximateTV": [
              180.05027583697878,
              184.34827010631977
            ],
            "approximateDelta": [
              0.4591025942199849,
              0.4591025942199849
            ],
            "approximateResidual": 0.4591025942199849,
            "approximateError": 45.91025942199741,
            "approximateBound": 61.70048031241214,
            "pathDistance": 7.6478337075955665,
            "pathBound": 7.647833707595892,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5591025942199792
          },
          {
            "k": 145,
            "value": [
              172.4789204664592,
              176.77691473580015
            ],
            "q": [
              [
                171.75413126179458,
                173.00914558844215
              ],
              [
                177.3071398577831,
                172.75413126179458
              ]
            ],
            "tv": [
              173.00914558844215,
              177.3071398577831
            ],
            "delta": [
              0.5302251219829657,
              0.5302251219829657
            ],
            "residual": 0.5302251219829657,
            "minDelta": 0.5302251219829657,
            "maxDelta": 0.5302251219829657,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 53.02251219829702,
            "geometricBound": 53.51212013876808,
            "residualBound": 53.02251219829652,
            "lower": [
              225.5014326647557,
              229.79942693409666
            ],
            "upper": [
              225.5014326647557,
              229.79942693409666
            ],
            "policyLower": [
              225.50143266475573,
              229.7994269340967
            ],
            "optimalUpper": [
              225.50143266475573,
              229.7994269340967
            ],
            "certifiedStop": false,
            "shifted": [
              178.3005320401594,
              182.59852630950036
            ],
            "shiftDifference": [
              5.82161157370021,
              5.82161157370021
            ],
            "shiftExpected": 5.82161157370015,
            "shiftDefect": [
              5.950795411990839e-14,
              5.950795411990839e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.472009006245969,
              0.472009006245969
            ],
            "approximate": [
              180.15027583697878,
              184.44827010631977
            ],
            "approximateTV": [
              180.60378740525658,
              184.90178167459752
            ],
            "approximateDelta": [
              0.45351156827780414,
              0.4535115682777473
            ],
            "approximateResidual": 0.45351156827780414,
            "approximateError": 45.35115682777743,
            "approximateBound": 61.183475509288016,
            "pathDistance": 7.6713553705196205,
            "pathBound": 7.671355370519933,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5535115682777985
          },
          {
            "k": 146,
            "value": [
              173.00914558844215,
              177.3071398577831
            ],
            "q": [
              [
                172.27905413255772,
                173.5340684592053
              ],
              [
                177.83206272854625,
                173.27905413255772
              ]
            ],
            "tv": [
              173.5340684592053,
              177.83206272854625
            ],
            "delta": [
              0.5249228707631346,
              0.5249228707631346
            ],
            "residual": 0.5249228707631346,
            "minDelta": 0.5249228707631346,
            "maxDelta": 0.5249228707631346,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 52.49228707631406,
            "geometricBound": 52.9769989373804,
            "residualBound": 52.49228707631341,
            "lower": [
              225.50143266475555,
              229.79942693409652
            ],
            "upper": [
              225.50143266475555,
              229.79942693409652
            ],
            "policyLower": [
              225.50143266475555,
              229.79942693409652
            ],
            "optimalUpper": [
              225.50143266475555,
              229.79942693409652
            ],
            "certifiedStop": false,
            "shifted": [
              178.77254104640537,
              183.07053531574633
            ],
            "shiftDifference": [
              5.763395457963213,
              5.763395457963213
            ],
            "shiftExpected": 5.763395457963148,
            "shiftDefect": [
              6.483702463810914e-14,
              6.483702463810914e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.46728891618349166,
              0.4672889161835201
            ],
            "approximate": [
              180.70378740525658,
              185.0017816745975
            ],
            "approximateTV": [
              181.15176385785153,
              185.44975812719252
            ],
            "approximateDelta": [
              0.44797645259495766,
              0.4479764525950145
            ],
            "approximateResidual": 0.4479764525950145,
            "approximateError": 44.79764525949966,
            "approximateBound": 60.67164075419514,
            "pathDistance": 7.694641816814425,
            "pathBound": 7.694641816814734,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5479764525950088
          },
          {
            "k": 147,
            "value": [
              173.5340684592053,
              177.83206272854625
            ],
            "q": [
              [
                172.79872777461324,
                174.05374210126078
              ],
              [
                178.35173637060177,
                173.79872777461324
              ]
            ],
            "tv": [
              174.05374210126078,
              178.35173637060177
            ],
            "delta": [
              0.5196736420554942,
              0.5196736420555226
            ],
            "residual": 0.5196736420555226,
            "minDelta": 0.5196736420554942,
            "maxDelta": 0.5196736420555226,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 51.96736420555092,
            "geometricBound": 52.4472289480066,
            "residualBound": 51.967364205552215,
            "lower": [
              225.50143266475465,
              229.7994269340956
            ],
            "upper": [
              225.5014326647575,
              229.79942693409845
            ],
            "policyLower": [
              225.50143266475465,
              229.79942693409564
            ],
            "optimalUpper": [
              225.5014326647575,
              229.79942693409845
            ],
            "certifiedStop": false,
            "shifted": [
              179.23982996258886,
              183.53782423192985
            ],
            "shiftDifference": [
              5.70576150338357,
              5.705761503383599
            ],
            "shiftExpected": 5.705761503383517,
            "shiftDefect": [
              5.3290705182007514e-14,
              8.171241461241152e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4626160270216815,
              0.4626160270216815
            ],
            "approximate": [
              181.25176385785153,
              185.54975812719252
            ],
            "approximateTV": [
              181.6942605459206,
              185.99225481526153
            ],
            "approximateDelta": [
              0.4424966880690704,
              0.44249668806901354
            ],
            "approximateResidual": 0.4424966880690704,
            "approximateError": 44.24966880690468,
            "approximateBound": 60.16492434665318,
            "pathDistance": 7.717695398646271,
            "pathBound": 7.717695398646587,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5424966880690647
          },
          {
            "k": 148,
            "value": [
              174.05374210126078,
              178.35173637060177
            ],
            "q": [
              [
                173.31320468024816,
                174.56821900689576
              ],
              [
                178.86621327623672,
                174.31320468024816
              ]
            ],
            "tv": [
              174.56821900689576,
              178.86621327623672
            ],
            "delta": [
              0.5144769056349787,
              0.5144769056349503
            ],
            "residual": 0.5144769056349787,
            "minDelta": 0.5144769056349503,
            "maxDelta": 0.5144769056349787,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 51.44769056349543,
            "geometricBound": 51.92275665852653,
            "residualBound": 51.44769056349783,
            "lower": [
              225.50143266475578,
              229.79942693409674
            ],
            "upper": [
              225.50143266475862,
              229.79942693409959
            ],
            "policyLower": [
              225.50143266475578,
              229.79942693409674
            ],
            "optimalUpper": [
              225.50143266475862,
              229.79942693409959
            ],
            "certifiedStop": false,
            "shifted": [
              179.70244598961054,
              184.00044025895153
            ],
            "shiftDifference": [
              5.648703888349758,
              5.648703888349758
            ],
            "shiftExpected": 5.648703888349682,
            "shiftDefect": [
              7.549516567451064e-14,
              7.549516567451064e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.45798986675146125,
              0.45798986675146125
            ],
            "approximate": [
              181.7942605459206,
              186.09225481526153
            ],
            "approximateTV": [
              182.2313322671089,
              186.5293265364499
            ],
            "approximateDelta": [
              0.4370717211883175,
              0.43707172118837434
            ],
            "approximateResidual": 0.43707172118837434,
            "approximateError": 43.70717211883564,
            "approximateBound": 59.66327510318665,
            "pathDistance": 7.740518444659813,
            "pathBound": 7.74051844466012,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5370717211883687
          },
          {
            "k": 149,
            "value": [
              174.56821900689576,
              178.86621327623672
            ],
            "q": [
              [
                173.8225368168268,
                175.07755114347435
              ],
              [
                179.37554541281534,
                174.8225368168268
              ]
            ],
            "tv": [
              175.07755114347435,
              179.37554541281534
            ],
            "delta": [
              0.5093321365785926,
              0.509332136578621
            ],
            "residual": 0.509332136578621,
            "minDelta": 0.5093321365785926,
            "maxDelta": 0.509332136578621,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 50.93321365786045,
            "geometricBound": 51.403529091941266,
            "residualBound": 50.933213657862055,
            "lower": [
              225.501432664755,
              229.79942693409595
            ],
            "upper": [
              225.50143266475783,
              229.7994269340988
            ],
            "policyLower": [
              225.501432664755,
              229.79942693409595
            ],
            "optimalUpper": [
              225.50143266475777,
              229.7994269340988
            ],
            "certifiedStop": false,
            "shifted": [
              180.160435856362,
              184.458430125703
            ],
            "shiftDifference": [
              5.59221684946624,
              5.5922168494662685
            ],
            "shiftExpected": 5.592216849466185,
            "shiftDefect": [
              5.5067062021407764e-14,
              8.348877145181177e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.45340996808394607,
              0.45340996808394607
            ],
            "approximate": [
              182.3313322671089,
              186.6293265364499
            ],
            "approximateTV": [
              182.7630332710854,
              187.06102754042635
            ],
            "approximateDelta": [
              0.43170100397648525,
              0.43170100397645683
            ],
            "approximateResidual": 0.43170100397648525,
            "approximateError": 43.1701003976473,
            "approximateBound": 59.16664235215478,
            "pathDistance": 7.763113260213174,
            "pathBound": 7.763113260213519,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5317010039764796
          },
          {
            "k": 150,
            "value": [
              175.07755114347435,
              179.37554541281534
            ],
            "q": [
              [
                174.3267756320396,
                175.58178995868718
              ],
              [
                179.87978422802814,
                175.3267756320396
              ]
            ],
            "tv": [
              175.58178995868718,
              179.87978422802814
            ],
            "delta": [
              0.5042388152128296,
              0.5042388152128012
            ],
            "residual": 0.5042388152128296,
            "minDelta": 0.5042388152128012,
            "maxDelta": 0.5042388152128296,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 50.42388152128186,
            "geometricBound": 50.88949380102185,
            "residualBound": 50.42388152128292,
            "lower": [
              225.50143266475442,
              229.79942693409544
            ],
            "upper": [
              225.50143266475726,
              229.79942693409828
            ],
            "policyLower": [
              225.50143266475445,
              229.7994269340954
            ],
            "optimalUpper": [
              225.50143266475726,
              229.79942693409822
            ],
            "certifiedStop": false,
            "shifted": [
              180.61384582444595,
              184.91184009378694
            ],
            "shiftDifference": [
              5.536294680971594,
              5.536294680971594
            ],
            "shiftExpected": 5.5362946809715226,
            "shiftDefect": [
              7.105427357601002e-14,
              7.105427357601002e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4488758684031211,
              0.4488758684030927
            ],
            "approximate": [
              182.86303327108538,
              187.16102754042635
            ],
            "approximateTV": [
              183.28941726502208,
              187.58741153436307
            ],
            "approximateDelta": [
              0.426383993936696,
              0.42638399393672444
            ],
            "approximateResidual": 0.42638399393672444,
            "approximateError": 42.638399393670824,
            "approximateBound": 58.67497592863323,
            "pathDistance": 7.785482127611033,
            "pathBound": 7.785482127611385,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5263839939367188
          },
          {
            "k": 151,
            "value": [
              175.58178995868718,
              179.87978422802814
            ],
            "q": [
              [
                174.8259720591003,
                176.08098638574785
              ],
              [
                180.37898065508884,
                175.8259720591003
              ]
            ],
            "tv": [
              176.08098638574785,
              180.37898065508884
            ],
            "delta": [
              0.49919642706066725,
              0.49919642706069567
            ],
            "residual": 0.49919642706069567,
            "minDelta": 0.49919642706066725,
            "maxDelta": 0.49919642706069567,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 49.91964270606903,
            "geometricBound": 50.380598863011635,
            "residualBound": 49.919642706069524,
            "lower": [
              225.50143266475385,
              229.7994269340948
            ],
            "upper": [
              225.5014326647567,
              229.79942693409765
            ],
            "policyLower": [
              225.50143266475385,
              229.79942693409487
            ],
            "optimalUpper": [
              225.5014326647567,
              229.79942693409765
            ],
            "certifiedStop": false,
            "shifted": [
              181.06272169284907,
              185.36071596219003
            ],
            "shiftDifference": [
              5.480931734161885,
              5.480931734161885
            ],
            "shiftExpected": 5.480931734161808,
            "shiftDefect": [
              7.72715225139109e-14,
              7.72715225139109e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4443871097190595,
              0.4443871097190879
            ],
            "approximate": [
              183.38941726502208,
              187.68741153436306
            ],
            "approximateTV": [
              183.81053741901943,
              188.10853168836042
            ],
            "approximateDelta": [
              0.42112015399735014,
              0.42112015399735014
            ],
            "approximateResidual": 0.42112015399735014,
            "approximateError": 42.11201539973413,
            "approximateBound": 58.188226169346905,
            "pathDistance": 7.807627306334922,
            "pathBound": 7.807627306335269,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5211201539973445
          },
          {
            "k": 152,
            "value": [
              176.08098638574785,
              180.37898065508884
            ],
            "q": [
              [
                175.32017652189037,
                176.57519084853794
              ],
              [
                180.8731851178789,
                176.32017652189037
              ]
            ],
            "tv": [
              176.57519084853794,
              180.8731851178789
            ],
            "delta": [
              0.4942044627900941,
              0.4942044627900657
            ],
            "residual": 0.4942044627900941,
            "minDelta": 0.4942044627900657,
            "maxDelta": 0.4942044627900941,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 49.42044627900836,
            "geometricBound": 49.876792874381515,
            "residualBound": 49.42044627900937,
            "lower": [
              225.50143266475436,
              229.79942693409538
            ],
            "upper": [
              225.5014326647572,
              229.79942693409822
            ],
            "policyLower": [
              225.50143266475442,
              229.79942693409538
            ],
            "optimalUpper": [
              225.5014326647572,
              229.79942693409816
            ],
            "certifiedStop": false,
            "shifted": [
              181.50710880256813,
              185.80510307190912
            ],
            "shiftDifference": [
              5.426122416820277,
              5.426122416820277
            ],
            "shiftExpected": 5.426122416820189,
            "shiftDefect": [
              8.79296635503124e-14,
              8.79296635503124e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.43994323862190754,
              0.4399432386218791
            ],
            "approximate": [
              183.91053741901942,
              188.2085316883604
            ],
            "approximateTV": [
              184.3264463714768,
              188.62444064081777
            ],
            "approximateDelta": [
              0.4159089524573858,
              0.4159089524573574
            ],
            "approximateResidual": 0.4159089524573858,
            "approximateError": 41.59089524573679,
            "approximateBound": 57.706343907653434,
            "pathDistance": 7.829551033271571,
            "pathBound": 7.829551033271918,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5159089524573801
          },
          {
            "k": 153,
            "value": [
              176.57519084853794,
              180.8731851178789
            ],
            "q": [
              [
                175.80943894005256,
                177.06445326670013
              ],
              [
                181.3624475360411,
                176.80943894005256
              ]
            ],
            "tv": [
              177.06445326670013,
              181.3624475360411
            ],
            "delta": [
              0.4892624181621841,
              0.4892624181621841
            ],
            "residual": 0.4892624181621841,
            "minDelta": 0.4892624181621841,
            "maxDelta": 0.4892624181621841,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 48.926241816218266,
            "geometricBound": 49.3780249456377,
            "residualBound": 48.926241816218365,
            "lower": [
              225.5014326647563,
              229.79942693409726
            ],
            "upper": [
              225.5014326647563,
              229.79942693409726
            ],
            "policyLower": [
              225.5014326647563,
              229.79942693409726
            ],
            "optimalUpper": [
              225.5014326647563,
              229.79942693409726
            ],
            "certifiedStop": false,
            "shifted": [
              181.94705204119003,
              186.245046310531
            ],
            "shiftDifference": [
              5.371861192652091,
              5.371861192652091
            ],
            "shiftExpected": 5.371861192651988,
            "shiftDefect": [
              1.0302869668521453e-13,
              1.0302869668521453e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4355438062356427,
              0.4355438062356711
            ],
            "approximate": [
              184.4264463714768,
              188.72444064081776
            ],
            "approximateTV": [
              184.8371962344096,
              189.13519050375055
            ],
            "approximateDelta": [
              0.41074986293278926,
              0.41074986293278926
            ],
            "approximateResidual": 0.41074986293278926,
            "approximateError": 41.07498629327941,
            "approximateBound": 57.229280468576896,
            "pathDistance": 7.851255522938857,
            "pathBound": 7.851255522939198,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5107498629327836
          },
          {
            "k": 154,
            "value": [
              177.06445326670013,
              181.3624475360411
            ],
            "q": [
              [
                176.29380873403312,
                177.5488230606807
              ],
              [
                181.84681733002165,
                177.29380873403312
              ]
            ],
            "tv": [
              177.5488230606807,
              181.84681733002165
            ],
            "delta": [
              0.48436979398056224,
              0.48436979398056224
            ],
            "residual": 0.48436979398056224,
            "minDelta": 0.48436979398056224,
            "maxDelta": 0.48436979398056224,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 48.43697939805608,
            "geometricBound": 48.88424469618133,
            "residualBound": 48.43697939805618,
            "lower": [
              225.5014326647563,
              229.79942693409726
            ],
            "upper": [
              225.5014326647563,
              229.79942693409726
            ],
            "policyLower": [
              225.5014326647563,
              229.79942693409726
            ],
            "optimalUpper": [
              225.5014326647563,
              229.79942693409726
            ],
            "certifiedStop": false,
            "shifted": [
              182.38259584742568,
              186.68059011676667
            ],
            "shiftDifference": [
              5.318142580725549,
              5.318142580725578
            ],
            "shiftExpected": 5.318142580725468,
            "shiftDefect": [
              8.171241461241152e-14,
              1.1013412404281553e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4311883681733093,
              0.4311883681733093
            ],
            "approximate": [
              184.93719623440958,
              189.23519050375054
            ],
            "approximateTV": [
              185.34283859871303,
              189.64083286805402
            ],
            "approximateDelta": [
              0.40564236430344636,
              0.4056423643034748
            ],
            "approximateResidual": 0.4056423643034748,
            "approximateError": 40.564236430346625,
            "approximateBound": 56.75698766389113,
            "pathDistance": 7.872742967709456,
            "pathBound": 7.872742967709806,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5056423643034691
          },
          {
            "k": 155,
            "value": [
              177.5488230606807,
              181.84681733002165
            ],
            "q": [
              [
                176.77333483007388,
                178.02834915672142
              ],
              [
                182.3263434260624,
                177.77333483007388
              ]
            ],
            "tv": [
              178.02834915672142,
              182.3263434260624
            ],
            "delta": [
              0.47952609604072904,
              0.47952609604075747
            ],
            "residual": 0.47952609604075747,
            "minDelta": 0.47952609604072904,
            "maxDelta": 0.47952609604075747,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 47.95260960407552,
            "geometricBound": 48.39540224921951,
            "residualBound": 47.952609604075704,
            "lower": [
              225.50143266475357,
              229.79942693409453
            ],
            "upper": [
              225.5014326647564,
              229.79942693409737
            ],
            "policyLower": [
              225.50143266475357,
              229.79942693409453
            ],
            "optimalUpper": [
              225.50143266475635,
              229.79942693409737
            ],
            "certifiedStop": false,
            "shifted": [
              182.813784215599,
              187.11177848493998
            ],
            "shiftDifference": [
              5.264961154918296,
              5.264961154918325
            ],
            "shiftExpected": 5.264961154918213,
            "shiftDefect": [
              8.348877145181177e-14,
              1.1191048088221578e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.42687648449160065,
              0.42687648449157223
            ],
            "approximate": [
              185.44283859871302,
              189.740832868054
            ],
            "approximateTV": [
              185.84342453937347,
              190.14141880871443
            ],
            "approximateDelta": [
              0.4005859406604486,
              0.4005859406604202
            ],
            "approximateResidual": 0.4005859406604486,
            "approximateError": 40.058594066043185,
            "approximateBound": 56.28941778725222,
            "pathDistance": 7.894015538032363,
            "pathBound": 7.894015538032709,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.5005859406604429
          },
          {
            "k": 156,
            "value": [
              178.02834915672142,
              182.3263434260624
            ],
            "q": [
              [
                177.2480656651542,
                178.50307999180177
              ],
              [
                182.80107426114276,
                178.2480656651542
              ]
            ],
            "tv": [
              178.50307999180177,
              182.80107426114276
            ],
            "delta": [
              0.47473083508035074,
              0.47473083508035074
            ],
            "residual": 0.47473083508035074,
            "minDelta": 0.47473083508035074,
            "maxDelta": 0.47473083508035074,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 47.47308350803479,
            "geometricBound": 47.911448226727316,
            "residualBound": 47.47308350803503,
            "lower": [
              225.50143266475646,
              229.79942693409743
            ],
            "upper": [
              225.50143266475646,
              229.79942693409743
            ],
            "policyLower": [
              225.50143266475646,
              229.79942693409743
            ],
            "optimalUpper": [
              225.50143266475646,
              229.79942693409743
            ],
            "certifiedStop": false,
            "shifted": [
              183.2406607000906,
              187.53865496943155
            ],
            "shiftDifference": [
              5.212311543369168,
              5.21231154336914
            ],
            "shiftExpected": 5.212311543369031,
            "shiftDefect": [
              1.3677947663381929e-13,
              1.0835776720341528e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4226077196466349,
              0.4226077196466633
            ],
            "approximate": [
              185.94342453937347,
              190.24141880871443
            ],
            "approximateTV": [
              186.3390046206273,
              190.63699888996825
            ],
            "approximateDelta": [
              0.3955800812538257,
              0.3955800812538257
            ],
            "approximateResidual": 0.3955800812538257,
            "approximateError": 39.55800812538274,
            "approximateBound": 55.8265236093797,
            "pathDistance": 7.915075382652049,
            "pathBound": 7.915075382652382,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.49558008125382
          },
          {
            "k": 157,
            "value": [
              178.50307999180177,
              182.80107426114276
            ],
            "q": [
              [
                177.71804919188375,
                178.97306351853132
              ],
              [
                183.27105778787228,
                178.71804919188375
              ]
            ],
            "tv": [
              178.97306351853132,
              183.27105778787228
            ],
            "delta": [
              0.4699835267295498,
              0.4699835267295214
            ],
            "residual": 0.4699835267295498,
            "minDelta": 0.4699835267295214,
            "maxDelta": 0.4699835267295498,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 46.99835267295444,
            "geometricBound": 47.43233374446004,
            "residualBound": 46.99835267295494,
            "lower": [
              225.50143266475385,
              229.79942693409487
            ],
            "upper": [
              225.5014326647567,
              229.7994269340977
            ],
            "policyLower": [
              225.5014326647539,
              229.79942693409487
            ],
            "optimalUpper": [
              225.5014326647567,
              229.79942693409765
            ],
            "certifiedStop": false,
            "shifted": [
              183.66326841973722,
              187.9612626890782
            ],
            "shiftDifference": [
              5.160188427935452,
              5.160188427935452
            ],
            "shiftExpected": 5.16018842793534,
            "shiftDefect": [
              1.1191048088221578e-13,
              1.1191048088221578e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.41838164245021403,
              0.4183816424501572
            ],
            "approximate": [
              186.4390046206273,
              190.73699888996825
            ],
            "approximateTV": [
              186.82962890106856,
              191.12762317040955
            ],
            "approximateDelta": [
              0.39062428044127273,
              0.39062428044130115
            ],
            "approximateResidual": 0.39062428044130115,
            "approximateError": 39.06242804412892,
            "approximateBound": 55.3682583732859,
            "pathDistance": 7.935924628825518,
            "pathBound": 7.935924628825856,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.49062428044129547
          },
          {
            "k": 158,
            "value": [
              178.97306351853132,
              183.27105778787228
            ],
            "q": [
              [
                178.183332883346,
                179.43834720999357
              ],
              [
                183.73634147933453,
                179.183332883346
              ]
            ],
            "tv": [
              179.43834720999357,
              183.73634147933453
            ],
            "delta": [
              0.4652836914622469,
              0.4652836914622469
            ],
            "residual": 0.4652836914622469,
            "minDelta": 0.4652836914622469,
            "maxDelta": 0.4652836914622469,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 46.52836914622489,
            "geometricBound": 46.95801040701544,
            "residualBound": 46.52836914622465,
            "lower": [
              225.50143266475595,
              229.7994269340969
            ],
            "upper": [
              225.50143266475595,
              229.7994269340969
            ],
            "policyLower": [
              225.50143266475595,
              229.7994269340969
            ],
            "optimalUpper": [
              225.50143266475595,
              229.7994269340969
            ],
            "certifiedStop": false,
            "shifted": [
              184.08165006218744,
              188.37964433152837
            ],
            "shiftDifference": [
              5.108586543656116,
              5.108586543656088
            ],
            "shiftExpected": 5.108586543655988,
            "shiftDefect": [
              1.2878587085651816e-13,
              1.0036416142611415e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.41419782602565647,
              0.4141978260256849
            ],
            "approximate": [
              186.92962890106855,
              191.22762317040954
            ],
            "approximateTV": [
              187.31534693870546,
              191.6133412080464
            ],
            "approximateDelta": [
              0.3857180376369058,
              0.385718037636849
            ],
            "approximateResidual": 0.3857180376369058,
            "approximateError": 38.571803763687655,
            "approximateBound": 54.91457578955304,
            "pathDistance": 7.9565653825372635,
            "pathBound": 7.9565653825375975,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.48571803763690014
          },
          {
            "k": 159,
            "value": [
              179.43834720999357,
              183.73634147933453
            ],
            "q": [
              [
                178.64396373789364,
                179.89897806454118
              ],
              [
                184.19697233388217,
                179.64396373789364
              ]
            ],
            "tv": [
              179.89897806454118,
              184.19697233388217
            ],
            "delta": [
              0.46063085454761676,
              0.4606308545476452
            ],
            "residual": 0.4606308545476452,
            "minDelta": 0.46063085454761676,
            "maxDelta": 0.4606308545476452,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 46.06308545476264,
            "geometricBound": 46.48843030294529,
            "residualBound": 46.063085454764476,
            "lower": [
              225.5014326647552,
              229.79942693409618
            ],
            "upper": [
              225.50143266475806,
              229.79942693409902
            ],
            "policyLower": [
              225.5014326647552,
              229.79942693409618
            ],
            "optimalUpper": [
              225.501432664758,
              229.79942693409902
            ],
            "certifiedStop": false,
            "shifted": [
              184.4958478882131,
              188.79384215755405
            ],
            "shiftDifference": [
              5.057500678219526,
              5.057500678219526
            ],
            "shiftExpected": 5.057500678219427,
            "shiftDefect": [
              9.85878045867139e-14,
              9.85878045867139e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.41005584776542037,
              0.4100558477654488
            ],
            "approximate": [
              187.41534693870545,
              191.7133412080464
            ],
            "approximateTV": [
              187.79620779596593,
              192.0942020653069
            ],
            "approximateDelta": [
              0.3808608572604726,
              0.380860857260501
            ],
            "approximateResidual": 0.380860857260501,
            "approximateError": 38.08608572605078,
            "approximateBound": 54.46543003165751,
            "pathDistance": 7.976999728711888,
            "pathBound": 7.976999728712221,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4808608572604953
          },
          {
            "k": 160,
            "value": [
              179.89897806454118,
              184.19697233388217
            ],
            "q": [
              [
                179.09998828389578,
                180.35500261054335
              ],
              [
                184.65299687988434,
                180.09998828389578
              ]
            ],
            "tv": [
              180.35500261054335,
              184.65299687988434
            ],
            "delta": [
              0.456024546002169,
              0.456024546002169
            ],
            "residual": 0.456024546002169,
            "minDelta": 0.456024546002169,
            "maxDelta": 0.456024546002169,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 45.602454600215026,
            "geometricBound": 46.023545999915825,
            "residualBound": 45.60245460021686,
            "lower": [
              225.50143266475806,
              229.79942693409902
            ],
            "upper": [
              225.50143266475806,
              229.79942693409902
            ],
            "policyLower": [
              225.50143266475806,
              229.79942693409902
            ],
            "optimalUpper": [
              225.50143266475806,
              229.79942693409902
            ],
            "certifiedStop": false,
            "shifted": [
              184.9059037359785,
              189.2038980053195
            ],
            "shiftDifference": [
              5.00692567143733,
              5.00692567143733
            ],
            "shiftExpected": 5.006925671437233,
            "shiftDefect": [
              9.681144774731365e-14,
              9.681144774731365e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4059552892877889,
              0.4059552892877889
            ],
            "approximate": [
              187.89620779596592,
              192.19420206530688
            ],
            "approximateTV": [
              188.27226004465382,
              192.57025431399478
            ],
            "approximateDelta": [
              0.3760522486878983,
              0.3760522486878983
            ],
            "approximateResidual": 0.3760522486878983,
            "approximateError": 37.60522486879029,
            "approximateBound": 54.020775731340926,
            "pathDistance": 7.9972297314247385,
            "pathBound": 7.997229731425101,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.47605224868789264
          },
          {
            "k": 161,
            "value": [
              180.35500261054335,
              184.65299687988434
            ],
            "q": [
              [
                179.55145258443792,
                180.8064669110855
              ],
              [
                185.10446118042645,
                180.55145258443792
              ]
            ],
            "tv": [
              180.8064669110855,
              185.10446118042645
            ],
            "delta": [
              0.4514643005421419,
              0.4514643005421135
            ],
            "residual": 0.4514643005421419,
            "minDelta": 0.4514643005421135,
            "maxDelta": 0.4514643005421419,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 45.14643005421286,
            "geometricBound": 45.56331053991668,
            "residualBound": 45.14643005421415,
            "lower": [
              225.50143266475465,
              229.79942693409566
            ],
            "upper": [
              225.5014326647575,
              229.7994269340985
            ],
            "policyLower": [
              225.5014326647547,
              229.79942693409566
            ],
            "optimalUpper": [
              225.5014326647575,
              229.79942693409845
            ],
            "certifiedStop": false,
            "shifted": [
              185.3118590252663,
              189.6098532946073
            ],
            "shiftDifference": [
              4.9568564147229495,
              4.9568564147229495
            ],
            "shiftExpected": 4.956856414722861,
            "shiftDefect": [
              8.881784197001252e-14,
              8.881784197001252e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.4018957363949198,
              0.401895736394863
            ],
            "approximate": [
              188.3722600446538,
              192.67025431399477
            ],
            "approximateTV": [
              188.74355177085482,
              193.0415460401958
            ],
            "approximateDelta": [
              0.37129172620100803,
              0.37129172620103645
            ],
            "approximateResidual": 0.37129172620103645,
            "approximateError": 37.129172620102395,
            "approximateBound": 53.58056797402753,
            "pathDistance": 8.017257434110462,
            "pathBound": 8.01725743411085,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.47129172620103077
          },
          {
            "k": 162,
            "value": [
              180.8064669110855,
              185.10446118042645
            ],
            "q": [
              [
                179.99840224197465,
                181.25341656862219
              ],
              [
                185.55141083796318,
                180.99840224197465
              ]
            ],
            "tv": [
              181.25341656862219,
              185.55141083796318
            ],
            "delta": [
              0.4469496575366918,
              0.4469496575367202
            ],
            "residual": 0.4469496575367202,
            "minDelta": 0.4469496575366918,
            "maxDelta": 0.4469496575367202,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 44.694965753670715,
            "geometricBound": 45.107677434517505,
            "residualBound": 44.69496575367198,
            "lower": [
              225.50143266475465,
              229.7994269340956
            ],
            "upper": [
              225.5014326647575,
              229.79942693409845
            ],
            "policyLower": [
              225.50143266475465,
              229.7994269340956
            ],
            "optimalUpper": [
              225.50143266475743,
              229.79942693409845
            ],
            "certifiedStop": false,
            "shifted": [
              185.71375476166122,
              190.01174903100215
            ],
            "shiftDifference": [
              4.907287850575727,
              4.907287850575699
            ],
            "shiftExpected": 4.907287850575632,
            "shiftDefect": [
              9.50350909079134e-14,
              6.661338147750939e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.39787677903092344,
              0.39787677903095187
            ],
            "approximate": [
              188.84355177085482,
              193.1415460401958
            ],
            "approximateTV": [
              189.21013057979386,
              193.50812484913482
            ],
            "approximateDelta": [
              0.36657880893903894,
              0.3665788089390105
            ],
            "approximateResidual": 0.36657880893903894,
            "approximateError": 36.65788089390139,
            "approximateBound": 53.14476229428725,
            "pathDistance": 8.037084859769351,
            "pathBound": 8.03708485976974,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.46657880893903325
          },
          {
            "k": 163,
            "value": [
              181.25341656862219,
              185.55141083796318
            ],
            "q": [
              [
                180.44088240293596,
                181.69589672958355
              ],
              [
                185.99389099892448,
                181.44088240293596
              ]
            ],
            "tv": [
              181.69589672958355,
              185.99389099892448
            ],
            "delta": [
              0.44248016096136666,
              0.4424801609613098
            ],
            "residual": 0.44248016096136666,
            "minDelta": 0.4424801609613098,
            "maxDelta": 0.44248016096136666,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 44.24801609613402,
            "geometricBound": 44.65660066017233,
            "residualBound": 44.248016096136624,
            "lower": [
              225.5014326647531,
              229.79942693409413
            ],
            "upper": [
              225.5014326647588,
              229.7994269340998
            ],
            "policyLower": [
              225.50143266475317,
              229.79942693409413
            ],
            "optimalUpper": [
              225.5014326647588,
              229.79942693409976
            ],
            "certifiedStop": false,
            "shifted": [
              186.11163154069214,
              190.4096258100331
            ],
            "shiftDifference": [
              4.858214972069959,
              4.858214972069931
            ],
            "shiftExpected": 4.8582149720698755,
            "shiftDefect": [
              8.348877145181177e-14,
              5.5067062021407764e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.39389801124062274,
              0.39389801124065116
            ],
            "approximate": [
              189.31013057979385,
              193.6081248491348
            ],
            "approximateTV": [
              189.67204360064346,
              193.97003786998445
            ],
            "approximateDelta": [
              0.3619130208496131,
              0.3619130208496415
            ],
            "approximateResidual": 0.3619130208496415,
            "approximateError": 36.19130208496236,
            "approximateBound": 52.71331467134438,
            "pathDistance": 8.056714011171664,
            "pathBound": 8.056714011172044,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4619130208496358
          },
          {
            "k": 164,
            "value": [
              181.69589672958355,
              185.99389099892448
            ],
            "q": [
              [
                180.8789377622877,
                182.13395208893525
              ],
              [
                186.4319463582762,
                181.8789377622877
              ]
            ],
            "tv": [
              182.13395208893525,
              186.4319463582762
            ],
            "delta": [
              0.4380553593516936,
              0.438055359351722
            ],
            "residual": 0.438055359351722,
            "minDelta": 0.4380553593516936,
            "maxDelta": 0.438055359351722,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 43.805535935172685,
            "geometricBound": 44.21003465357061,
            "residualBound": 43.805535935172166,
            "lower": [
              225.50143266475288,
              229.79942693409382
            ],
            "upper": [
              225.50143266475573,
              229.79942693409666
            ],
            "policyLower": [
              225.50143266475288,
              229.79942693409384
            ],
            "optimalUpper": [
              225.50143266475567,
              229.79942693409663
            ],
            "certifiedStop": false,
            "shifted": [
              186.50552955193277,
              190.80352382127376
            ],
            "shiftDifference": [
              4.809632822349215,
              4.809632822349272
            ],
            "shiftExpected": 4.809632822349177,
            "shiftDefect": [
              3.8191672047105385e-14,
              9.50350909079134e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3899590311282566,
              0.38995903112822816
            ],
            "approximate": [
              189.77204360064346,
              194.07003786998445
            ],
            "approximateTV": [
              190.1293374912846,
              194.42733176062558
            ],
            "approximateDelta": [
              0.35729389064113093,
              0.35729389064113093
            ],
            "approximateResidual": 0.35729389064113093,
            "approximateError": 35.72938906411275,
            "approximateBound": 52.28618152463093,
            "pathDistance": 8.076146871059962,
            "pathBound": 8.076146871060322,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.45729389064112524
          },
          {
            "k": 165,
            "value": [
              182.13395208893525,
              186.4319463582762
            ],
            "q": [
              [
                181.3126125680459,
                182.56762689469343
              ],
              [
                186.86562116403442,
                182.3126125680459
              ]
            ],
            "tv": [
              182.56762689469343,
              186.86562116403442
            ],
            "delta": [
              0.4336748057581872,
              0.4336748057582156
            ],
            "residual": 0.4336748057582156,
            "minDelta": 0.4336748057581872,
            "maxDelta": 0.4336748057582156,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 43.36748057582096,
            "geometricBound": 43.7679343070349,
            "residualBound": 43.367480575821524,
            "lower": [
              225.50143266475393,
              229.7994269340949
            ],
            "upper": [
              225.50143266475678,
              229.79942693409774
            ],
            "policyLower": [
              225.5014326647539,
              229.79942693409492
            ],
            "optimalUpper": [
              225.50143266475675,
              229.79942693409774
            ],
            "certifiedStop": false,
            "shifted": [
              186.89548858306102,
              191.19348285240198
            ],
            "shiftDifference": [
              4.761536494125778,
              4.761536494125778
            ],
            "shiftExpected": 4.761536494125685,
            "shiftDefect": [
              9.325873406851315e-14,
              9.325873406851315e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3860594408169504,
              0.3860594408169504
            ],
            "approximate": [
              190.22933749128458,
              194.52733176062557
            ],
            "approximateTV": [
              190.58205844301932,
              194.88005271236025
            ],
            "approximateDelta": [
              0.3527209517347387,
              0.3527209517346819
            ],
            "approximateResidual": 0.3527209517347387,
            "approximateError": 35.27209517347163,
            "approximateBound": 51.86331970938462,
            "pathDistance": 8.095385402349365,
            "pathBound": 8.095385402349718,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.45272095173473303
          },
          {
            "k": 166,
            "value": [
              182.56762689469343,
              186.86562116403442
            ],
            "q": [
              [
                181.74195062574648,
                182.99696495239408
              ],
              [
                187.29495922173504,
                182.74195062574648
              ]
            ],
            "tv": [
              182.99696495239408,
              187.29495922173504
            ],
            "delta": [
              0.42933805770064737,
              0.42933805770061895
            ],
            "residual": 0.42933805770064737,
            "minDelta": 0.42933805770061895,
            "maxDelta": 0.42933805770064737,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 42.933805770062776,
            "geometricBound": 43.33025496396455,
            "residualBound": 42.9338057700647,
            "lower": [
              225.5014326647553,
              229.7994269340963
            ],
            "upper": [
              225.50143266475814,
              229.79942693409913
            ],
            "policyLower": [
              225.50143266475533,
              229.7994269340963
            ],
            "optimalUpper": [
              225.50143266475814,
              229.7994269340991
            ],
            "certifiedStop": false,
            "shifted": [
              187.28154802387797,
              191.57954229321894
            ],
            "shiftDifference": [
              4.713921129184541,
              4.713921129184513
            ],
            "shiftExpected": 4.713921129184428,
            "shiftDefect": [
              1.1368683772161603e-13,
              8.526512829121202e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.38219884640878377,
              0.38219884640878377
            ],
            "approximate": [
              190.68205844301932,
              194.98005271236025
            ],
            "approximateTV": [
              191.03025218523663,
              195.32824645457762
            ],
            "approximateDelta": [
              0.3481937422173189,
              0.34819374221737576
            ],
            "approximateResidual": 0.34819374221737576,
            "approximateError": 34.81937422173692,
            "approximateBound": 51.44468651229077,
            "pathDistance": 8.114431548325882,
            "pathBound": 8.114431548326221,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4481937422173701
          },
          {
            "k": 167,
            "value": [
              182.99696495239408,
              187.29495922173504
            ],
            "q": [
              [
                182.16699530287013,
                183.4220096295177
              ],
              [
                187.72000389885866,
                183.16699530287013
              ]
            ],
            "tv": [
              183.4220096295177,
              187.72000389885866
            ],
            "delta": [
              0.4250446771236227,
              0.4250446771236227
            ],
            "residual": 0.4250446771236227,
            "minDelta": 0.4250446771236227,
            "maxDelta": 0.4250446771236227,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 42.50446771236213,
            "geometricBound": 42.89695241432491,
            "residualBound": 42.504467712362235,
            "lower": [
              225.50143266475632,
              229.79942693409728
            ],
            "upper": [
              225.50143266475632,
              229.79942693409728
            ],
            "policyLower": [
              225.50143266475632,
              229.79942693409728
            ],
            "optimalUpper": [
              225.50143266475632,
              229.79942693409728
            ],
            "certifiedStop": false,
            "shifted": [
              187.66374687028676,
              191.96174113962772
            ],
            "shiftDifference": [
              4.666781917892678,
              4.666781917892678
            ],
            "shiftExpected": 4.666781917892584,
            "shiftDefect": [
              9.414691248821327e-14,
              9.414691248821327e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3783768579446871,
              0.3783768579446871
            ],
            "approximate": [
              191.13025218523663,
              195.42824645457762
            ],
            "approximateTV": [
              191.47396399003185,
              195.7719582593728
            ],
            "approximateDelta": [
              0.3437118047952197,
              0.34371180479519126
            ],
            "approximateResidual": 0.3437118047952197,
            "approximateError": 34.37118047951958,
            "approximateBound": 51.03023964716787,
            "pathDistance": 8.133287232842576,
            "pathBound": 8.133287232842958,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.443711804795214
          },
          {
            "k": 168,
            "value": [
              183.4220096295177,
              187.72000389885866
            ],
            "q": [
              [
                182.58778953322252,
                183.8428038598701
              ],
              [
                188.14079812921105,
                183.58778953322252
              ]
            ],
            "tv": [
              183.8428038598701,
              188.14079812921105
            ],
            "delta": [
              0.42079423035238506,
              0.42079423035238506
            ],
            "residual": 0.42079423035238506,
            "minDelta": 0.42079423035238506,
            "maxDelta": 0.42079423035238506,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 42.079423035238506,
            "geometricBound": 42.46798289018165,
            "residualBound": 42.07942303523847,
            "lower": [
              225.50143266475618,
              229.79942693409714
            ],
            "upper": [
              225.50143266475618,
              229.79942693409714
            ],
            "policyLower": [
              225.50143266475618,
              229.79942693409714
            ],
            "optimalUpper": [
              225.50143266475618,
              229.79942693409714
            ],
            "certifiedStop": false,
            "shifted": [
              188.04212372823145,
              192.3401179975724
            ],
            "shiftDifference": [
              4.620114098713742,
              4.620114098713742
            ],
            "shiftExpected": 4.620114098713658,
            "shiftDefect": [
              8.43769498715119e-14,
              8.43769498715119e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3745930893652485,
              0.3745930893652485
            ],
            "approximate": [
              191.57396399003184,
              195.8719582593728
            ],
            "approximateTV": [
              191.9132386767791,
              196.21123294612005
            ],
            "approximateDelta": [
              0.33927468674724537,
              0.33927468674724537
            ],
            "approximateResidual": 0.33927468674724537,
            "approximateError": 33.927468674724366,
            "approximateBound": 50.61993725069618,
            "pathDistance": 8.15195436051414,
            "pathBound": 8.15195436051453,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4392746867472397
          },
          {
            "k": 169,
            "value": [
              183.8428038598701,
              188.14079812921105
            ],
            "q": [
              [
                183.0043758212714,
                184.25939014791894
              ],
              [
                188.55738441725993,
                184.0043758212714
              ]
            ],
            "tv": [
              184.25939014791894,
              188.55738441725993
            ],
            "delta": [
              0.41658628804884756,
              0.416586288048876
            ],
            "residual": 0.416586288048876,
            "minDelta": 0.41658628804884756,
            "maxDelta": 0.416586288048876,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 41.65862880488612,
            "geometricBound": 42.043303061279836,
            "residualBound": 41.65862880488756,
            "lower": [
              225.50143266475482,
              229.79942693409578
            ],
            "upper": [
              225.50143266475766,
              229.79942693409862
            ],
            "policyLower": [
              225.50143266475482,
              229.7994269340958
            ],
            "optimalUpper": [
              225.50143266475763,
              229.79942693409862
            ],
            "certifiedStop": false,
            "shifted": [
              188.4167168175967,
              192.71471108693765
            ],
            "shiftDifference": [
              4.5739129577266056,
              4.5739129577266056
            ],
            "shiftExpected": 4.573912957726521,
            "shiftDefect": [
              8.43769498715119e-14,
              8.43769498715119e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3708471584715767,
              0.3708471584716051
            ],
            "approximate": [
              192.01323867677908,
              196.31123294612004
            ],
            "approximateTV": [
              192.34812061665883,
              196.64611488599982
            ],
            "approximateDelta": [
              0.33488193987975023,
              0.33488193987977866
            ],
            "approximateResidual": 0.33488193987977866,
            "approximateError": 33.48819398797713,
            "approximateBound": 50.21373787818922,
            "pathDistance": 8.170434816908994,
            "pathBound": 8.170434816909383,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.43488193987977297
          },
          {
            "k": 170,
            "value": [
              184.25939014791894,
              188.55738441725993
            ],
            "q": [
              [
                183.41679624643973,
                184.67181057308733
              ],
              [
                188.96980484242832,
                184.41679624643973
              ]
            ],
            "tv": [
              184.67181057308733,
              188.96980484242832
            ],
            "delta": [
              0.41242042516839206,
              0.41242042516839206
            ],
            "residual": 0.41242042516839206,
            "minDelta": 0.41242042516839206,
            "maxDelta": 0.41242042516839206,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 41.24204251683727,
            "geometricBound": 41.622870030667045,
            "residualBound": 41.24204251683917,
            "lower": [
              225.5014326647581,
              229.7994269340991
            ],
            "upper": [
              225.5014326647581,
              229.7994269340991
            ],
            "policyLower": [
              225.5014326647581,
              229.7994269340991
            ],
            "optimalUpper": [
              225.5014326647581,
              229.7994269340991
            ],
            "certifiedStop": false,
            "shifted": [
              188.78756397606827,
              193.08555824540926
            ],
            "shiftDifference": [
              4.528173828149335,
              4.528173828149335
            ],
            "shiftExpected": 4.528173828149256,
            "shiftDefect": [
              7.904787935331115e-14,
              7.904787935331115e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.36713868688690354,
              0.3671386868868467
            ],
            "approximate": [
              192.44812061665883,
              196.74611488599982
            ],
            "approximateTV": [
              192.77865373713982,
              197.0766480064808
            ],
            "approximateDelta": [
              0.33053312048099315,
              0.33053312048099315
            ],
            "approximateResidual": 0.33053312048099315,
            "approximateError": 33.05331204809738,
            "approximateBound": 49.811600499407334,
            "pathDistance": 8.188730468739891,
            "pathBound": 8.18873046874029,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.43053312048098746
          },
          {
            "k": 171,
            "value": [
              184.67181057308733,
              188.96980484242832
            ],
            "q": [
              [
                183.82509246735646,
                185.08010679400402
              ],
              [
                189.37810106334499,
                184.82509246735646
              ]
            ],
            "tv": [
              185.08010679400402,
              189.37810106334499
            ],
            "delta": [
              0.4082962209166965,
              0.40829622091666806
            ],
            "residual": 0.4082962209166965,
            "minDelta": 0.40829622091666806,
            "maxDelta": 0.4082962209166965,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 40.82962209166888,
            "geometricBound": 41.20664133036037,
            "residualBound": 40.82962209166961,
            "lower": [
              225.5014326647541,
              229.7994269340951
            ],
            "upper": [
              225.50143266475695,
              229.79942693409794
            ],
            "policyLower": [
              225.50143266475413,
              229.7994269340951
            ],
            "optimalUpper": [
              225.50143266475695,
              229.7994269340979
            ],
            "certifiedStop": false,
            "shifted": [
              189.15470266295517,
              193.4526969322961
            ],
            "shiftDifference": [
              4.482892089867846,
              4.482892089867789
            ],
            "shiftExpected": 4.4828920898677636,
            "shiftDefect": [
              8.260059303211165e-14,
              2.5757174171303632e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3634673000179589,
              0.36346730001804417
            ],
            "approximate": [
              192.8786537371398,
              197.1766480064808
            ],
            "approximateTV": [
              193.204881526416,
              197.50287579575698
            ],
            "approximateDelta": [
              0.32622778927617446,
              0.32622778927617446
            ],
            "approximateResidual": 0.32622778927617446,
            "approximateError": 32.622778927616395,
            "approximateBound": 49.413484494413254,
            "pathDistance": 8.206843164052486,
            "pathBound": 8.206843164052888,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4262277892761688
          },
          {
            "k": 172,
            "value": [
              185.08010679400402,
              189.37810106334499
            ],
            "q": [
              [
                184.22930572606398,
                185.48432005271152
              ],
              [
                189.7823143220525,
                185.22930572606398
              ]
            ],
            "tv": [
              185.48432005271152,
              189.7823143220525
            ],
            "delta": [
              0.40421325870750024,
              0.40421325870752867
            ],
            "residual": 0.40421325870752867,
            "minDelta": 0.40421325870750024,
            "maxDelta": 0.40421325870752867,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 40.421325870752185,
            "geometricBound": 40.794574917056764,
            "residualBound": 40.42132587075283,
            "lower": [
              225.50143266475402,
              229.79942693409498
            ],
            "upper": [
              225.50143266475686,
              229.79942693409782
            ],
            "policyLower": [
              225.50143266475402,
              229.799426934095
            ],
            "optimalUpper": [
              225.50143266475683,
              229.79942693409782
            ],
            "certifiedStop": false,
            "shifted": [
              189.51816996297313,
              193.81616423231415
            ],
            "shiftDifference": [
              4.438063168969109,
              4.438063168969165
            ],
            "shiftExpected": 4.4380631689690855,
            "shiftDefect": [
              2.3092638912203256e-14,
              7.993605777301127e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3598326270178802,
              0.35983262701779495
            ],
            "approximate": [
              193.30488152641598,
              197.60287579575697
            ],
            "approximateTV": [
              193.6268470377994,
              197.92484130714038
            ],
            "approximateDelta": [
              0.3219655113834108,
              0.3219655113834108
            ],
            "approximateResidual": 0.3219655113834108,
            "approximateError": 32.196551138340226,
            "approximateBound": 49.01934964946912,
            "pathDistance": 8.224774732411987,
            "pathBound": 8.224774732412358,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4219655113834051
          },
          {
            "k": 173,
            "value": [
              185.48432005271152,
              189.7823143220525
            ],
            "q": [
              [
                184.6294768521844,
                185.88449117883198
              ],
              [
                190.18248544817297,
                185.6294768521844
              ]
            ],
            "tv": [
              185.88449117883198,
              190.18248544817297
            ],
            "delta": [
              0.4001711261204548,
              0.4001711261204548
            ],
            "residual": 0.4001711261204548,
            "minDelta": 0.4001711261204548,
            "maxDelta": 0.4001711261204548,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 40.017112612044684,
            "geometricBound": 40.3866291678862,
            "residualBound": 40.017112612045445,
            "lower": [
              225.50143266475698,
              229.79942693409797
            ],
            "upper": [
              225.50143266475698,
              229.79942693409797
            ],
            "policyLower": [
              225.50143266475698,
              229.79942693409797
            ],
            "optimalUpper": [
              225.50143266475698,
              229.79942693409797
            ],
            "certifiedStop": false,
            "shifted": [
              189.878002589991,
              194.17599685933195
            ],
            "shiftDifference": [
              4.3936825372794885,
              4.393682537279432
            ],
            "shiftExpected": 4.393682537279394,
            "shiftDefect": [
              9.414691248821327e-14,
              3.730349362740526e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.35623430074761586,
              0.3562343007476443
            ],
            "approximate": [
              193.7268470377994,
              198.02484130714038
            ],
            "approximateTV": [
              194.04459289406898,
              198.34258716340995
            ],
            "approximateDelta": [
              0.31774585626959606,
              0.31774585626956764
            ],
            "approximateResidual": 0.31774585626959606,
            "approximateError": 31.77458562695682,
            "approximateBound": 48.62915615297443,
            "pathDistance": 8.242526985087864,
            "pathBound": 8.242526985088235,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4177458562695904
          },
          {
            "k": 174,
            "value": [
              185.88449117883198,
              190.18248544817297
            ],
            "q": [
              [
                185.02564626704367,
                186.28066059369124
              ],
              [
                190.5786548630322,
                186.02564626704367
              ]
            ],
            "tv": [
              186.28066059369124,
              190.5786548630322
            ],
            "delta": [
              0.3961694148592585,
              0.3961694148592301
            ],
            "residual": 0.3961694148592585,
            "minDelta": 0.3961694148592301,
            "maxDelta": 0.3961694148592585,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 39.61694148592423,
            "geometricBound": 39.98276287620733,
            "residualBound": 39.616941485925814,
            "lower": [
              225.50143266475496,
              229.79942693409595
            ],
            "upper": [
              225.5014326647578,
              229.7994269340988
            ],
            "policyLower": [
              225.501432664755,
              229.79942693409595
            ],
            "optimalUpper": [
              225.5014326647578,
              229.79942693409876
            ],
            "certifiedStop": false,
            "shifted": [
              190.23423689073863,
              194.5322311600796
            ],
            "shiftDifference": [
              4.34974571190665,
              4.349745711906621
            ],
            "shiftExpected": 4.349745711906601,
            "shiftDefect": [
              4.884981308350689e-14,
              2.042810365310288e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3526719577401707,
              0.35267195774014226
            ],
            "approximate": [
              194.14459289406898,
              198.44258716340994
            ],
            "approximateTV": [
              194.45816129177584,
              198.75615556111683
            ],
            "approximateDelta": [
              0.3135683977068595,
              0.31356839770688794
            ],
            "approximateResidual": 0.31356839770688794,
            "approximateError": 31.35683977068723,
            "approximateBound": 48.242864591444686,
            "pathDistance": 8.260101715236999,
            "pathBound": 8.260101715237353,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.41356839770688225
          },
          {
            "k": 175,
            "value": [
              186.28066059369124,
              190.5786548630322
            ],
            "q": [
              [
                185.4178539877543,
                186.67286831440188
              ],
              [
                190.97086258374284,
                186.4178539877543
              ]
            ],
            "tv": [
              186.67286831440188,
              190.97086258374284
            ],
            "delta": [
              0.392207720710644,
              0.392207720710644
            ],
            "residual": 0.392207720710644,
            "minDelta": 0.392207720710644,
            "maxDelta": 0.392207720710644,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 39.22077207106497,
            "geometricBound": 39.58293524744526,
            "residualBound": 39.22077207106437,
            "lower": [
              225.5014326647556,
              229.79942693409657
            ],
            "upper": [
              225.5014326647556,
              229.79942693409657
            ],
            "policyLower": [
              225.5014326647556,
              229.79942693409657
            ],
            "optimalUpper": [
              225.5014326647556,
              229.79942693409657
            ],
            "certifiedStop": false,
            "shifted": [
              190.5869088484788,
              194.88490311781973
            ],
            "shiftDifference": [
              4.306248254787562,
              4.306248254787533
            ],
            "shiftExpected": 4.306248254787535,
            "shiftDefect": [
              2.6645352591003757e-14,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3491452381627198,
              0.34914523816280507
            ],
            "approximate": [
              194.55816129177583,
              198.85615556111682
            ],
            "approximateTV": [
              194.86759400550565,
              199.1655882748466
            ],
            "approximateDelta": [
              0.3094327137298194,
              0.309432713729791
            ],
            "approximateResidual": 0.3094327137298194,
            "approximateError": 30.943271372980377,
            "approximateBound": 47.86043594553024,
            "pathDistance": 8.277500698084623,
            "pathBound": 8.27750069808498,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4094327137298137
          },
          {
            "k": 176,
            "value": [
              186.67286831440188,
              190.97086258374284
            ],
            "q": [
              [
                185.80613963125785,
                187.06115395790542
              ],
              [
                191.35914822724638,
                186.80613963125785
              ]
            ],
            "tv": [
              187.06115395790542,
              191.35914822724638
            ],
            "delta": [
              0.38828564350353645,
              0.38828564350353645
            ],
            "residual": 0.38828564350353645,
            "minDelta": 0.38828564350353645,
            "maxDelta": 0.38828564350353645,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 38.82856435035433,
            "geometricBound": 39.187105894970806,
            "residualBound": 38.82856435035361,
            "lower": [
              225.5014326647555,
              229.79942693409646
            ],
            "upper": [
              225.5014326647555,
              229.79942693409646
            ],
            "policyLower": [
              225.5014326647555,
              229.79942693409646
            ],
            "optimalUpper": [
              225.5014326647555,
              229.79942693409646
            ],
            "certifiedStop": false,
            "shifted": [
              190.93605408664152,
              195.23404835598254
            ],
            "shiftDifference": [
              4.263185772239638,
              4.263185772239694
            ],
            "shiftExpected": 4.263185772239659,
            "shiftDefect": [
              -2.1316282072803006e-14,
              3.552713678800501e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3456537857811952,
              0.34565378578110995
            ],
            "approximate": [
              194.96759400550565,
              199.2655882748466
            ],
            "approximateTV": [
              195.27293239209814,
              199.57092666143913
            ],
            "approximateDelta": [
              0.3053383865924957,
              0.3053383865925241
            ],
            "approximateResidual": 0.3053383865925241,
            "approximateError": 30.533838659250563,
            "approximateBound": 47.48183158607493,
            "pathDistance": 8.294725691103764,
            "pathBound": 8.29472569110413,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4053383865925184
          },
          {
            "k": 177,
            "value": [
              187.06115395790542,
              191.35914822724638
            ],
            "q": [
              [
                186.19054241832637,
                187.4455567449739
              ],
              [
                191.7435510143149,
                187.19054241832637
              ]
            ],
            "tv": [
              187.4455567449739,
              191.7435510143149
            ],
            "delta": [
              0.3844027870684954,
              0.3844027870685238
            ],
            "residual": 0.3844027870685238,
            "minDelta": 0.3844027870684954,
            "maxDelta": 0.3844027870685238,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 38.44027870685079,
            "geometricBound": 38.795234836021095,
            "residualBound": 38.44027870685235,
            "lower": [
              225.50143266475493,
              229.7994269340959
            ],
            "upper": [
              225.50143266475777,
              229.79942693409873
            ],
            "policyLower": [
              225.50143266475493,
              229.79942693409592
            ],
            "optimalUpper": [
              225.50143266475774,
              229.79942693409873
            ],
            "certifiedStop": false,
            "shifted": [
              191.28170787242271,
              195.57970214176365
            ],
            "shiftDifference": [
              4.220553914517296,
              4.220553914517268
            ],
            "shiftExpected": 4.220553914517263,
            "shiftDefect": [
              3.375077994860476e-14,
              5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.34219724792328066,
              0.3421972479233659
            ],
            "approximate": [
              195.37293239209814,
              199.67092666143913
            ],
            "approximateTV": [
              195.67421739482472,
              199.9722116641657
            ],
            "approximateDelta": [
              0.301285002726587,
              0.301285002726587
            ],
            "approximateResidual": 0.301285002726587,
            "approximateError": 30.128500272658073,
            "approximateBound": 47.10701327021418,
            "pathDistance": 8.311778434192746,
            "pathBound": 8.311778434193089,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4012850027265813
          },
          {
            "k": 178,
            "value": [
              187.4455567449739,
              191.7435510143149
            ],
            "q": [
              [
                186.57110117752418,
                187.82611550417175
              ],
              [
                192.12410977351274,
                187.57110117752418
              ]
            ],
            "tv": [
              187.82611550417175,
              192.12410977351274
            ],
            "delta": [
              0.38055875919783944,
              0.38055875919783944
            ],
            "residual": 0.38055875919783944,
            "minDelta": 0.38055875919783944,
            "maxDelta": 0.38055875919783944,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 38.055875919782295,
            "geometricBound": 38.407282487660886,
            "residualBound": 38.05587591978391,
            "lower": [
              225.50143266475783,
              229.79942693409882
            ],
            "upper": [
              225.50143266475783,
              229.79942693409882
            ],
            "policyLower": [
              225.50143266475783,
              229.79942693409882
            ],
            "optimalUpper": [
              225.50143266475783,
              229.79942693409882
            ],
            "certifiedStop": false,
            "shifted": [
              191.623905120346,
              195.921899389687
            ],
            "shiftDifference": [
              4.178348375372082,
              4.17834837537211
            ],
            "shiftExpected": 4.1783483753720905,
            "shiftDefect": [
              -8.881784197001252e-15,
              1.9539925233402755e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3387752754441351,
              0.33877527544407826
            ],
            "approximate": [
              195.77421739482472,
              200.0722116641657
            ],
            "approximateTV": [
              196.07148954752404,
              200.36948381686503
            ],
            "approximateDelta": [
              0.29727215269932117,
              0.29727215269932117
            ],
            "approximateResidual": 0.29727215269932117,
            "approximateError": 29.72721526993149,
            "approximateBound": 46.735943137512045,
            "pathDistance": 8.328660649850804,
            "pathBound": 8.328660649851157,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3972721526993155
          },
          {
            "k": 179,
            "value": [
              187.82611550417175,
              192.12410977351274
            ],
            "q": [
              [
                186.94785434913004,
                188.2028686757776
              ],
              [
                192.50086294511857,
                187.94785434913004
              ]
            ],
            "tv": [
              188.2028686757776,
              192.50086294511857
            ],
            "delta": [
              0.37675317160585564,
              0.3767531716058272
            ],
            "residual": 0.37675317160585564,
            "minDelta": 0.3767531716058272,
            "maxDelta": 0.37675317160585564,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 37.675317160584456,
            "geometricBound": 38.023209662784275,
            "residualBound": 37.67531716058553,
            "lower": [
              225.50143266475445,
              229.79942693409544
            ],
            "upper": [
              225.5014326647573,
              229.79942693409828
            ],
            "policyLower": [
              225.50143266475447,
              229.79942693409544
            ],
            "optimalUpper": [
              225.5014326647573,
              229.79942693409825
            ],
            "certifiedStop": false,
            "shifted": [
              191.96268039579013,
              196.2606746651311
            ],
            "shiftDifference": [
              4.136564891618377,
              4.136564891618349
            ],
            "shiftExpected": 4.136564891618369,
            "shiftDefect": [
              7.993605777301127e-15,
              -2.042810365310288e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.33538752268964345,
              0.33538752268967187
            ],
            "approximate": [
              196.17148954752403,
              200.46948381686502
            ],
            "approximateTV": [
              196.46478897869636,
              200.76278324803735
            ],
            "approximateDelta": [
              0.29329943117232915,
              0.29329943117232915
            ],
            "approximateResidual": 0.29329943117232915,
            "approximateError": 29.329943117232176,
            "approximateBound": 46.36858370613692,
            "pathDistance": 8.34537404335228,
            "pathBound": 8.345374043352646,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.39329943117232347
          },
          {
            "k": 180,
            "value": [
              188.2028686757776,
              192.50086294511857
            ],
            "q": [
              [
                187.32083998901985,
                188.57585431566739
              ],
              [
                192.87384858500837,
                188.32083998901985
              ]
            ],
            "tv": [
              188.57585431566739,
              192.87384858500837
            ],
            "delta": [
              0.3729856398897766,
              0.37298563988980504
            ],
            "residual": 0.37298563988980504,
            "minDelta": 0.3729856398897766,
            "maxDelta": 0.37298563988980504,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 37.2985639889786,
            "geometricBound": 37.64297756615644,
            "residualBound": 37.29856398898047,
            "lower": [
              225.50143266475524,
              229.7994269340962
            ],
            "upper": [
              225.50143266475808,
              229.79942693409905
            ],
            "policyLower": [
              225.50143266475524,
              229.79942693409623
            ],
            "optimalUpper": [
              225.50143266475806,
              229.79942693409905
            ],
            "certifiedStop": false,
            "shifted": [
              192.29806791847977,
              196.59606218782076
            ],
            "shiftDifference": [
              4.095199242702165,
              4.0951992427021935
            ],
            "shiftExpected": 4.0951992427021855,
            "shiftDefect": [
              -2.042810365310288e-14,
              7.993605777301127e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3320336474627936,
              0.3320336474627368
            ],
            "approximate": [
              196.56478897869636,
              200.86278324803735
            ],
            "approximateTV": [
              196.85415541555696,
              201.15214968489792
            ],
            "approximateDelta": [
              0.2893664368606039,
              0.2893664368605755
            ],
            "approximateResidual": 0.2893664368606039,
            "approximateError": 28.936643686059853,
            "approximateBound": 46.004897869075556,
            "pathDistance": 8.361920302918776,
            "pathBound": 8.361920302919119,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.38936643686059824
          },
          {
            "k": 181,
            "value": [
              188.57585431566739,
              192.87384858500837
            ],
            "q": [
              [
                187.69009577251072,
                188.94511009915828
              ],
              [
                193.24310436849927,
                188.69009577251072
              ]
            ],
            "tv": [
              188.94511009915828,
              193.24310436849927
            ],
            "delta": [
              0.3692557834908996,
              0.3692557834908996
            ],
            "residual": 0.3692557834908996,
            "minDelta": 0.3692557834908996,
            "maxDelta": 0.3692557834908996,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 36.92557834908882,
            "geometricBound": 37.26654779049487,
            "residualBound": 36.925578349089925,
            "lower": [
              225.50143266475732,
              229.7994269340983
            ],
            "upper": [
              225.50143266475732,
              229.7994269340983
            ],
            "policyLower": [
              225.50143266475732,
              229.7994269340983
            ],
            "optimalUpper": [
              225.50143266475732,
              229.7994269340983
            ],
            "certifiedStop": false,
            "shifted": [
              192.63010156594257,
              196.9280958352835
            ],
            "shiftDifference": [
              4.054247250275182,
              4.054247250275125
            ],
            "shiftExpected": 4.054247250275163,
            "shiftDefect": [
              1.865174681370263e-14,
              -3.8191672047105385e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.32871331098809264,
              0.3287133109881495
            ],
            "approximate": [
              196.95415541555695,
              201.25214968489792
            ],
            "approximateTV": [
              197.23962818804893,
              201.53762245738992
            ],
            "approximateDelta": [
              0.2854727724919712,
              0.28547277249199965
            ],
            "approximateResidual": 0.28547277249199965,
            "approximateError": 28.547277249199254,
            "approximateBound": 45.64484889038479,
            "pathDistance": 8.378301099889569,
            "pathBound": 8.378301099889928,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.38547277249199396
          },
          {
            "k": 182,
            "value": [
              188.94511009915828,
              193.24310436849927
            ],
            "q": [
              [
                188.0556589981667,
                189.31067332481427
              ],
              [
                193.60866759415524,
                189.0556589981667
              ]
            ],
            "tv": [
              189.31067332481427,
              193.60866759415524
            ],
            "delta": [
              0.36556322565598975,
              0.36556322565596133
            ],
            "residual": 0.36556322565598975,
            "minDelta": 0.36556322565596133,
            "maxDelta": 0.36556322565598975,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 36.556322565597924,
            "geometricBound": 36.89388231258992,
            "residualBound": 36.55632256559894,
            "lower": [
              225.5014326647544,
              229.79942693409538
            ],
            "upper": [
              225.50143266475723,
              229.79942693409822
            ],
            "policyLower": [
              225.50143266475442,
              229.79942693409538
            ],
            "optimalUpper": [
              225.50143266475723,
              229.7994269340982
            ],
            "certifiedStop": false,
            "shifted": [
              192.95881487693066,
              197.25680914627165
            ],
            "shiftDifference": [
              4.013704777772375,
              4.013704777772375
            ],
            "shiftExpected": 4.0137047777724115,
            "shiftDefect": [
              -3.6415315207705135e-14,
              -3.6415315207705135e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.32542617787828476,
              0.3254261778782279
            ],
            "approximate": [
              197.33962818804892,
              201.6376224573899
            ],
            "approximateTV": [
              197.62124623281602,
              201.91924050215698
            ],
            "approximateDelta": [
              0.2816180447671002,
              0.28161804476707175
            ],
            "approximateResidual": 0.2816180447671002,
            "approximateError": 28.16180447670729,
            "approximateBound": 45.28840040148095,
            "pathDistance": 8.394518088890635,
            "pathBound": 8.394518088891028,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3816180447670945
          },
          {
            "k": 183,
            "value": [
              189.31067332481427,
              193.60866759415524
            ],
            "q": [
              [
                188.41756659156613,
                189.67258091821367
              ],
              [
                193.97057518755466,
                189.41756659156613
              ]
            ],
            "tv": [
              189.67258091821367,
              193.97057518755466
            ],
            "delta": [
              0.36190759339939405,
              0.36190759339942247
            ],
            "residual": 0.36190759339942247,
            "minDelta": 0.36190759339939405,
            "maxDelta": 0.36190759339942247,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 36.190759339941934,
            "geometricBound": 36.52494348946402,
            "residualBound": 36.19075933994221,
            "lower": [
              225.50143266475365,
              229.7994269340946
            ],
            "upper": [
              225.5014326647565,
              229.79942693409745
            ],
            "policyLower": [
              225.50143266475365,
              229.79942693409464
            ],
            "optimalUpper": [
              225.50143266475646,
              229.79942693409745
            ],
            "certifiedStop": false,
            "shifted": [
              193.28424105480894,
              197.58223532414988
            ],
            "shiftDifference": [
              3.97356772999467,
              3.9735677299946417
            ],
            "shiftExpected": 3.973567729994688,
            "shiftDefect": [
              -1.7763568394002505e-14,
              -4.618527782440651e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3221719160994212,
              0.32217191609950646
            ],
            "approximate": [
              197.72124623281601,
              202.01924050215698
            ],
            "approximateTV": [
              197.99904809713541,
              202.29704236647638
            ],
            "approximateDelta": [
              0.27780186431940024,
              0.27780186431940024
            ],
            "approximateResidual": 0.27780186431940024,
            "approximateError": 27.780186431940194,
            "approximateBound": 44.93551639746614,
            "pathDistance": 8.41057290800174,
            "pathBound": 8.410572908002118,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.37780186431939455
          },
          {
            "k": 184,
            "value": [
              189.67258091821367,
              193.97057518755466
            ],
            "q": [
              [
                188.77585510903154,
                190.0308694356791
              ],
              [
                194.32886370502007,
                189.77585510903154
              ]
            ],
            "tv": [
              190.0308694356791,
              194.32886370502007
            ],
            "delta": [
              0.3582885174654393,
              0.3582885174654109
            ],
            "residual": 0.3582885174654393,
            "minDelta": 0.3582885174654109,
            "maxDelta": 0.3582885174654393,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 35.82885174654254,
            "geometricBound": 36.15969405456938,
            "residualBound": 35.828851746543904,
            "lower": [
              225.50143266475473,
              229.79942693409572
            ],
            "upper": [
              225.50143266475757,
              229.79942693409856
            ],
            "policyLower": [
              225.50143266475476,
              229.79942693409572
            ],
            "optimalUpper": [
              225.50143266475757,
              229.79942693409853
            ],
            "certifiedStop": false,
            "shifted": [
              193.60641297090837,
              197.90440724024938
            ],
            "shiftDifference": [
              3.9338320526946973,
              3.9338320526947257
            ],
            "shiftExpected": 3.9338320526947403,
            "shiftDefect": [
              -4.3076653355456074e-14,
              -1.4654943925052066e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.31895019693851623,
              0.3189501969384594
            ],
            "approximate": [
              198.0990480971354,
              202.39704236647637
            ],
            "approximateTV": [
              198.3730719428116,
              202.6710662121526
            ],
            "approximateDelta": [
              0.2740238456761972,
              0.2740238456762256
            ],
            "approximateResidual": 0.2740238456762256,
            "approximateError": 27.4023845676208,
            "approximateBound": 44.586161233491474,
            "pathDistance": 8.42646717892174,
            "pathBound": 8.426467178922096,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.37402384567621993
          },
          {
            "k": 185,
            "value": [
              190.0308694356791,
              194.32886370502007
            ],
            "q": [
              [
                189.1305607413223,
                190.38557506796985
              ],
              [
                194.68356933731084,
                190.1305607413223
              ]
            ],
            "tv": [
              190.38557506796985,
              194.68356933731084
            ],
            "delta": [
              0.35470563229074514,
              0.35470563229077356
            ],
            "residual": 0.35470563229077356,
            "minDelta": 0.35470563229074514,
            "maxDelta": 0.35470563229077356,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 35.4705632290771,
            "geometricBound": 35.79809711402369,
            "residualBound": 35.47056322907733,
            "lower": [
              225.5014326647536,
              229.79942693409456
            ],
            "upper": [
              225.50143266475644,
              229.7994269340974
            ],
            "policyLower": [
              225.5014326647536,
              229.79942693409458
            ],
            "optimalUpper": [
              225.5014326647564,
              229.7994269340974
            ],
            "certifiedStop": false,
            "shifted": [
              193.92536316784688,
              198.22335743718784
            ],
            "shiftDifference": [
              3.894493732167774,
              3.894493732167774
            ],
            "shiftExpected": 3.8944937321677933,
            "shiftDefect": [
              -1.9095836023552692e-14,
              -1.9095836023552692e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.31576069496907166,
              0.3157606949691001
            ],
            "approximate": [
              198.4730719428116,
              202.7710662121526
            ],
            "approximateTV": [
              198.74335555003105,
              203.04134981937202
            ],
            "approximateDelta": [
              0.2702836072194543,
              0.2702836072194259
            ],
            "approximateResidual": 0.2702836072194543,
            "approximateError": 27.02836072194461,
            "approximateBound": 44.240299621156566,
            "pathDistance": 8.44220250713252,
            "pathBound": 8.442202507132876,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.37028360721944864
          },
          {
            "k": 186,
            "value": [
              190.38557506796985,
              194.68356933731084
            ],
            "q": [
              [
                189.48171931729016,
                190.73673364393773
              ],
              [
                195.0347279132787,
                190.48171931729016
              ]
            ],
            "tv": [
              190.73673364393773,
              195.0347279132787
            ],
            "delta": [
              0.35115857596787237,
              0.35115857596784394
            ],
            "residual": 0.35115857596787237,
            "minDelta": 0.35115857596784394,
            "maxDelta": 0.35115857596787237,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 35.115857596786356,
            "geometricBound": 35.44011614288345,
            "residualBound": 35.11585759678721,
            "lower": [
              225.50143266475422,
              229.7994269340952
            ],
            "upper": [
              225.50143266475706,
              229.79942693409805
            ],
            "policyLower": [
              225.50143266475425,
              229.7994269340952
            ],
            "optimalUpper": [
              225.50143266475706,
              229.79942693409802
            ],
            "certifiedStop": false,
            "shifted": [
              194.24112386281595,
              198.53911813215694
            ],
            "shiftDifference": [
              3.8555487948461007,
              3.8555487948461007
            ],
            "shiftExpected": 3.855548794846115,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.31260308801941505,
              0.31260308801941505
            ],
            "approximate": [
              198.84335555003105,
              203.141349819372
            ],
            "approximateTV": [
              199.10993632117828,
              203.40793059051927
            ],
            "approximateDelta": [
              0.26658077114723255,
              0.266580771147261
            ],
            "approximateResidual": 0.266580771147261,
            "approximateError": 26.65807711472516,
            "approximateBound": 43.89789662494499,
            "pathDistance": 8.457780482061196,
            "pathBound": 8.457780482061548,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3665807711472553
          },
          {
            "k": 187,
            "value": [
              190.73673364393773,
              195.0347279132787
            ],
            "q": [
              [
                189.82936630749833,
                191.0843806341459
              ],
              [
                195.3823749034869,
                190.82936630749833
              ]
            ],
            "tv": [
              191.0843806341459,
              195.3823749034869
            ],
            "delta": [
              0.347646990208176,
              0.34764699020820444
            ],
            "residual": 0.34764699020820444,
            "minDelta": 0.347646990208176,
            "maxDelta": 0.34764699020820444,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 34.76469902081848,
            "geometricBound": 35.085714981454615,
            "residualBound": 34.764699020820416,
            "lower": [
              225.5014326647553,
              229.79942693409626
            ],
            "upper": [
              225.50143266475814,
              229.7994269340991
            ],
            "policyLower": [
              225.5014326647553,
              229.7994269340963
            ],
            "optimalUpper": [
              225.5014326647581,
              229.7994269340991
            ],
            "certifiedStop": false,
            "shifted": [
              194.55372695083537,
              198.85172122017636
            ],
            "shiftDifference": [
              3.8169933068976434,
              3.816993306897672
            ],
            "shiftExpected": 3.8169933068976545,
            "shiftDefect": [
              -1.1102230246251565e-14,
              1.7319479184152442e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3094770571392189,
              0.3094770571392189
            ],
            "approximate": [
              199.20993632117828,
              203.50793059051927
            ],
            "approximateTV": [
              199.47285128461408,
              203.77084555395504
            ],
            "approximateDelta": [
              0.26291496343580434,
              0.2629149634357759
            ],
            "approximateResidual": 0.26291496343580434,
            "approximateError": 26.291496343577933,
            "approximateBound": 43.55891765869555,
            "pathDistance": 8.473202677240579,
            "pathBound": 8.473202677240932,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.36291496343579865
          },
          {
            "k": 188,
            "value": [
              191.0843806341459,
              195.3823749034869
            ],
            "q": [
              [
                190.17353682780444,
                191.428551154452
              ],
              [
                195.726545423793,
                191.17353682780444
              ]
            ],
            "tv": [
              191.428551154452,
              195.726545423793
            ],
            "delta": [
              0.3441705203061076,
              0.3441705203061076
            ],
            "residual": 0.3441705203061076,
            "minDelta": 0.3441705203061076,
            "maxDelta": 0.3441705203061076,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 34.41705203061031,
            "geometricBound": 34.73485783164007,
            "residualBound": 34.41705203061073,
            "lower": [
              225.50143266475663,
              229.79942693409762
            ],
            "upper": [
              225.50143266475663,
              229.79942693409762
            ],
            "policyLower": [
              225.50143266475663,
              229.79942693409762
            ],
            "optimalUpper": [
              225.50143266475663,
              229.79942693409762
            ],
            "certifiedStop": false,
            "shifted": [
              194.8632040079746,
              199.16119827731558
            ],
            "shiftDifference": [
              3.7788233738286863,
              3.7788233738286863
            ],
            "shiftExpected": 3.778823373828678,
            "shiftDefect": [
              8.43769498715119e-15,
              8.43769498715119e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.30638228656783895,
              0.3063822865678105
            ],
            "approximate": [
              199.57285128461407,
              203.87084555395504
            ],
            "approximateTV": [
              199.83213709841547,
              204.13013136775646
            ],
            "approximateDelta": [
              0.25928581380139804,
              0.25928581380142646
            ],
            "approximateResidual": 0.25928581380142646,
            "approximateError": 25.928581380142134,
            "approximateBound": 43.22332848210859,
            "pathDistance": 8.488470650468173,
            "pathBound": 8.488470650468521,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3592858138014208
          },
          {
            "k": 189,
            "value": [
              191.428551154452,
              195.726545423793
            ],
            "q": [
              [
                190.51426564290747,
                191.76927996955507
              ],
              [
                196.067274238896,
                191.51426564290747
              ]
            ],
            "tv": [
              191.76927996955507,
              196.067274238896
            ],
            "delta": [
              0.34072881510306274,
              0.3407288151030059
            ],
            "residual": 0.34072881510306274,
            "minDelta": 0.3407288151030059,
            "maxDelta": 0.34072881510306274,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 34.0728815103042,
            "geometricBound": 34.38750925332367,
            "residualBound": 34.072881510306246,
            "lower": [
              225.50143266475257,
              229.79942693409356
            ],
            "upper": [
              225.50143266475825,
              229.79942693409924
            ],
            "policyLower": [
              225.50143266475263,
              229.79942693409356
            ],
            "optimalUpper": [
              225.50143266475825,
              229.7994269340992
            ],
            "certifiedStop": false,
            "shifted": [
              195.16958629454243,
              199.4675805638834
            ],
            "shiftDifference": [
              3.7410351400904176,
              3.741035140090389
            ],
            "shiftExpected": 3.741035140090391,
            "shiftDefect": [
              2.6645352591003757e-14,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.30331846370211224,
              0.30331846370214066
            ],
            "approximate": [
              199.93213709841547,
              204.23013136775646
            ],
            "approximateTV": [
              200.1878300540789,
              204.48582432341985
            ],
            "approximateDelta": [
              0.2556929556634202,
              0.2556929556633918
            ],
            "approximateResidual": 0.2556929556634202,
            "approximateError": 25.56929556634074,
            "approximateBound": 42.891095197287505,
            "pathDistance": 8.503585943963458,
            "pathBound": 8.503585943963836,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3556929556634145
          },
          {
            "k": 190,
            "value": [
              191.76927996955507,
              196.067274238896
            ],
            "q": [
              [
                190.85158716985953,
                192.10660149650704
              ],
              [
                196.40459576584803,
                191.85158716985953
              ]
            ],
            "tv": [
              192.10660149650704,
              196.40459576584803
            ],
            "delta": [
              0.3373215269519676,
              0.33732152695202444
            ],
            "residual": 0.33732152695202444,
            "minDelta": 0.3373215269519676,
            "maxDelta": 0.33732152695202444,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 33.732152695201165,
            "geometricBound": 34.043634160790425,
            "residualBound": 33.732152695202416,
            "lower": [
              225.5014326647518,
              229.79942693409274
            ],
            "upper": [
              225.5014326647575,
              229.79942693409842
            ],
            "policyLower": [
              225.5014326647518,
              229.7994269340928
            ],
            "optimalUpper": [
              225.50143266475743,
              229.79942693409842
            ],
            "certifiedStop": false,
            "shifted": [
              195.47290475824454,
              199.77089902758553
            ],
            "shiftDifference": [
              3.703624788689467,
              3.703624788689524
            ],
            "shiftExpected": 3.7036247886894866,
            "shiftDefect": [
              -1.9539925233402755e-14,
              3.730349362740526e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3002852790651218,
              0.3002852790651218
            ],
            "approximate": [
              200.28783005407888,
              204.58582432341984
            ],
            "approximateTV": [
              200.53996608018565,
              204.8379603495266
            ],
            "approximateDelta": [
              0.25213602610676844,
              0.25213602610676844
            ],
            "approximateResidual": 0.25213602610676844,
            "approximateError": 25.213602610677327,
            "approximateBound": 42.562184245314626,
            "pathDistance": 8.518550084523838,
            "pathBound": 8.518550084524199,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.35213602610676276
          },
          {
            "k": 191,
            "value": [
              192.10660149650704,
              196.40459576584803
            ],
            "q": [
              [
                191.18553548154196,
                192.44054980818956
              ],
              [
                196.73854407753052,
                192.18553548154196
              ]
            ],
            "tv": [
              192.44054980818956,
              196.73854407753052
            ],
            "delta": [
              0.33394831168251926,
              0.33394831168249084
            ],
            "residual": 0.33394831168251926,
            "minDelta": 0.33394831168249084,
            "maxDelta": 0.33394831168251926,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 33.39483116824917,
            "geometricBound": 33.70319781918253,
            "residualBound": 33.3948311682519,
            "lower": [
              225.5014326647561,
              229.79942693409708
            ],
            "upper": [
              225.50143266475894,
              229.79942693409993
            ],
            "policyLower": [
              225.50143266475612,
              229.79942693409708
            ],
            "optimalUpper": [
              225.50143266475894,
              229.7994269340999
            ],
            "certifiedStop": false,
            "shifted": [
              195.77319003730966,
              200.07118430665065
            ],
            "shiftDifference": [
              3.6665885408026213,
              3.6665885408026213
            ],
            "shiftExpected": 3.666588540802592,
            "shiftDefect": [
              2.930988785010413e-14,
              2.930988785010413e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.297282426274478,
              0.297282426274478
            ],
            "approximate": [
              200.63996608018564,
              204.9379603495266
            ],
            "approximateTV": [
              200.88858074603135,
              205.1865750153723
            ],
            "approximateDelta": [
              0.24861466584570735,
              0.24861466584570735
            ],
            "approximateResidual": 0.24861466584570735,
            "approximateError": 24.861466584570564,
            "approximateBound": 42.23656240286148,
            "pathDistance": 8.533364583678605,
            "pathBound": 8.533364583678956,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.34861466584570167
          },
          {
            "k": 192,
            "value": [
              192.44054980818956,
              196.73854407753052
            ],
            "q": [
              [
                191.51614431010765,
                192.77115863675522
              ],
              [
                197.06915290609618,
                192.51614431010765
              ]
            ],
            "tv": [
              192.77115863675522,
              197.06915290609618
            ],
            "delta": [
              0.33060882856565854,
              0.33060882856565854
            ],
            "residual": 0.33060882856565854,
            "minDelta": 0.33060882856565854,
            "maxDelta": 0.33060882856565854,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 33.06088285656665,
            "geometricBound": 33.366165840990696,
            "residualBound": 33.060882856565826,
            "lower": [
              225.50143266475538,
              229.79942693409635
            ],
            "upper": [
              225.50143266475538,
              229.79942693409635
            ],
            "policyLower": [
              225.50143266475538,
              229.79942693409635
            ],
            "optimalUpper": [
              225.50143266475538,
              229.79942693409635
            ],
            "certifiedStop": false,
            "shifted": [
              196.07047246358414,
              200.36846673292513
            ],
            "shiftDifference": [
              3.62992265539458,
              3.6299226553946085
            ],
            "shiftExpected": 3.629922655394566,
            "shiftDefect": [
              1.4210854715202004e-14,
              4.263256414560601e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2943096020117366,
              0.2943096020117366
            ],
            "approximate": [
              200.98858074603135,
              205.2865750153723
            ],
            "approximateTV": [
              201.23370926521858,
              205.53170353455957
            ],
            "approximateDelta": [
              0.245128519187233,
              0.24512851918726142
            ],
            "approximateResidual": 0.24512851918726142,
            "approximateError": 24.512851918724863,
            "approximateBound": 41.91419677883286,
            "pathDistance": 8.548030937841787,
            "pathBound": 8.548030937842167,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.34512851918725573
          },
          {
            "k": 193,
            "value": [
              192.77115863675522,
              197.06915290609618
            ],
            "q": [
              [
                191.84344705038765,
                193.09846137703522
              ],
              [
                197.39645564637618,
                192.84344705038765
              ]
            ],
            "tv": [
              193.09846137703522,
              197.39645564637618
            ],
            "delta": [
              0.32730274028000395,
              0.32730274028000395
            ],
            "residual": 0.32730274028000395,
            "minDelta": 0.32730274028000395,
            "maxDelta": 0.32730274028000395,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 32.73027402800099,
            "geometricBound": 33.032504182580794,
            "residualBound": 32.730274028000366,
            "lower": [
              225.50143266475558,
              229.79942693409654
            ],
            "upper": [
              225.50143266475558,
              229.79942693409654
            ],
            "policyLower": [
              225.50143266475558,
              229.79942693409654
            ],
            "optimalUpper": [
              225.50143266475558,
              229.79942693409654
            ],
            "certifiedStop": false,
            "shifted": [
              196.36478206559588,
              200.66277633493686
            ],
            "shiftDifference": [
              3.593623428840658,
              3.5936234288406865
            ],
            "shiftExpected": 3.59362342884062,
            "shiftDefect": [
              3.8191672047105385e-14,
              6.661338147750939e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2913665059916184,
              0.29136650599159
            ],
            "approximate": [
              201.33370926521857,
              205.63170353455956
            ],
            "approximateTV": [
              201.57538649921398,
              205.87338076855494
            ],
            "approximateDelta": [
              0.24167723399540364,
              0.24167723399537522
            ],
            "approximateResidual": 0.24167723399540364,
            "approximateError": 24.167723399537635,
            "approximateBound": 41.59505481104454,
            "pathDistance": 8.562550628463384,
            "pathBound": 8.562550628463745,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.34167723399539796
          },
          {
            "k": 194,
            "value": [
              193.09846137703522,
              197.39645564637618
            ],
            "q": [
              [
                192.16747676326486,
                193.42249108991243
              ],
              [
                197.7204853592534,
                193.16747676326486
              ]
            ],
            "tv": [
              193.42249108991243,
              197.7204853592534
            ],
            "delta": [
              0.3240297128772056,
              0.3240297128772056
            ],
            "residual": 0.3240297128772056,
            "minDelta": 0.3240297128772056,
            "maxDelta": 0.3240297128772056,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 32.40297128772099,
            "geometricBound": 32.702179140754986,
            "residualBound": 32.40297128772053,
            "lower": [
              225.50143266475575,
              229.79942693409672
            ],
            "upper": [
              225.50143266475575,
              229.79942693409672
            ],
            "policyLower": [
              225.50143266475575,
              229.79942693409672
            ],
            "optimalUpper": [
              225.50143266475575,
              229.79942693409672
            ],
            "certifiedStop": false,
            "shifted": [
              196.6561485715875,
              200.95414284092845
            ],
            "shiftDifference": [
              3.5576871945522726,
              3.5576871945522726
            ],
            "shiftExpected": 3.5576871945522144,
            "shiftDefect": [
              5.81756864903582e-14,
              5.81756864903582e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2884528409316829,
              0.2884528409316829
            ],
            "approximate": [
              201.67538649921397,
              205.97338076855493
            ],
            "approximateTV": [
              201.9136469608694,
              206.21164123021035
            ],
            "approximateDelta": [
              0.2382604616554147,
              0.2382604616554147
            ],
            "approximateResidual": 0.2382604616554147,
            "approximateError": 23.826046165542238,
            "approximateBound": 41.27910426293409,
            "pathDistance": 8.57692512217875,
            "pathBound": 8.576925122179107,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.338260461655409
          },
          {
            "k": 195,
            "value": [
              193.42249108991243,
              197.7204853592534
            ],
            "q": [
              [
                192.4882661790133,
                193.74328050566086
              ],
              [
                198.04127477500182,
                193.4882661790133
              ]
            ],
            "tv": [
              193.74328050566086,
              198.04127477500182
            ],
            "delta": [
              0.3207894157484361,
              0.3207894157484361
            ],
            "residual": 0.3207894157484361,
            "minDelta": 0.3207894157484361,
            "maxDelta": 0.3207894157484361,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 32.07894157484378,
            "geometricBound": 32.37515734934744,
            "residualBound": 32.07894157484358,
            "lower": [
              225.501432664756,
              229.79942693409697
            ],
            "upper": [
              225.501432664756,
              229.79942693409697
            ],
            "policyLower": [
              225.501432664756,
              229.79942693409697
            ],
            "optimalUpper": [
              225.501432664756,
              229.79942693409697
            ],
            "certifiedStop": false,
            "shifted": [
              196.94460141251918,
              201.24259568186014
            ],
            "shiftDifference": [
              3.52211032260675,
              3.52211032260675
            ],
            "shiftExpected": 3.522110322606692,
            "shiftDefect": [
              5.773159728050814e-14,
              5.773159728050814e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.285568312522372,
              0.285568312522372
            ],
            "approximate": [
              202.01364696086938,
              206.31164123021034
            ],
            "approximateTV": [
              202.24852481790825,
              206.5465190872492
            ],
            "approximateDelta": [
              0.23487785703886743,
              0.23487785703886743
            ],
            "approximateResidual": 0.23487785703886743,
            "approximateError": 23.48778570388683,
            "approximateBound": 40.966313220304755,
            "pathDistance": 8.591155870956953,
            "pathBound": 8.591155870957316,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.33487785703886175
          },
          {
            "k": 196,
            "value": [
              193.74328050566086,
              198.04127477500182
            ],
            "q": [
              [
                192.80584770060426,
                194.0608620272518
              ],
              [
                198.3588562965928,
                193.80584770060426
              ]
            ],
            "tv": [
              194.0608620272518,
              198.3588562965928
            ],
            "delta": [
              0.3175815215909381,
              0.31758152159096653
            ],
            "residual": 0.31758152159096653,
            "minDelta": 0.3175815215909381,
            "maxDelta": 0.31758152159096653,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 31.758152159095346,
            "geometricBound": 32.05140577585396,
            "residualBound": 31.758152159096625,
            "lower": [
              225.50143266475465,
              229.7994269340956
            ],
            "upper": [
              225.5014326647575,
              229.79942693409845
            ],
            "policyLower": [
              225.50143266475465,
              229.79942693409564
            ],
            "optimalUpper": [
              225.50143266475746,
              229.79942693409845
            ],
            "certifiedStop": false,
            "shifted": [
              197.23016972504155,
              201.5281639943825
            ],
            "shiftDifference": [
              3.4868892193806857,
              3.4868892193806857
            ],
            "shiftExpected": 3.486889219380625,
            "shiftDefect": [
              6.084022174945858e-14,
              6.084022174945858e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2827126293971389,
              0.2827126293971389
            ],
            "approximate": [
              202.34852481790824,
              206.6465190872492
            ],
            "approximateTV": [
              202.5800538963767,
              206.8780481657177
            ],
            "approximateDelta": [
              0.23152907846846915,
              0.23152907846849757
            ],
            "approximateResidual": 0.23152907846849757,
            "approximateError": 23.152907846847967,
            "approximateBound": 40.6566500881017,
            "pathDistance": 8.605244312247379,
            "pathBound": 8.605244312247743,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3315290784684919
          },
          {
            "k": 197,
            "value": [
              194.0608620272518,
              198.3588562965928
            ],
            "q": [
              [
                193.1202534069793,
                194.37526773362686
              ],
              [
                198.67326200296782,
                194.1202534069793
              ]
            ],
            "tv": [
              194.37526773362686,
              198.67326200296782
            ],
            "delta": [
              0.31440570637505516,
              0.31440570637502674
            ],
            "residual": 0.31440570637505516,
            "minDelta": 0.31440570637502674,
            "maxDelta": 0.31440570637505516,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 31.440570637504408,
            "geometricBound": 31.73089171809542,
            "residualBound": 31.440570637505488,
            "lower": [
              225.50143266475445,
              229.79942693409544
            ],
            "upper": [
              225.5014326647573,
              229.79942693409828
            ],
            "policyLower": [
              225.50143266475447,
              229.79942693409544
            ],
            "optimalUpper": [
              225.5014326647573,
              229.79942693409825
            ],
            "certifiedStop": false,
            "shifted": [
              197.5128823544387,
              201.81087662377965
            ],
            "shiftDifference": [
              3.4520203271868866,
              3.452020327186858
            ],
            "shiftExpected": 3.4520203271868186,
            "shiftDefect": [
              6.794564910705958e-14,
              3.952393967665557e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2798855031031735,
              0.2798855031031735
            ],
            "approximate": [
              202.6800538963767,
              206.9780481657177
            ],
            "approximateTV": [
              202.90826768406052,
              207.20626195340148
            ],
            "approximateDelta": [
              0.2282137876838135,
              0.22821378768378509
            ],
            "approximateResidual": 0.2282137876838135,
            "approximateError": 22.821378768379503,
            "approximateBound": 40.35008358722069,
            "pathDistance": 8.619191869124904,
            "pathBound": 8.619191869125265,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3282137876838078
          },
          {
            "k": 198,
            "value": [
              194.37526773362686,
              198.67326200296782
            ],
            "q": [
              [
                193.43151505629058,
                194.68652938293815
              ],
              [
                198.9845236522791,
                194.43151505629058
              ]
            ],
            "tv": [
              194.68652938293815,
              198.9845236522791
            ],
            "delta": [
              0.31126164931129097,
              0.31126164931129097
            ],
            "residual": 0.31126164931129097,
            "minDelta": 0.31126164931129097,
            "maxDelta": 0.31126164931129097,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 31.126164931129352,
            "geometricBound": 31.413582800914465,
            "residualBound": 31.12616493112907,
            "lower": [
              225.50143266475592,
              229.79942693409689
            ],
            "upper": [
              225.50143266475592,
              229.79942693409689
            ],
            "policyLower": [
              225.50143266475592,
              229.79942693409689
            ],
            "optimalUpper": [
              225.50143266475592,
              229.79942693409689
            ],
            "certifiedStop": false,
            "shifted": [
              197.79276785754186,
              202.09076212688282
            ],
            "shiftDifference": [
              3.417500123915005,
              3.417500123915005
            ],
            "shiftExpected": 3.4175001239149503,
            "shiftDefect": [
              5.46229728115577e-14,
              5.46229728115577e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2770866480721281,
              0.27708664807215655
            ],
            "approximate": [
              203.0082676840605,
              207.30626195340147
            ],
            "approximateTV": [
              203.23319933386745,
              207.53119360320844
            ],
            "approximateDelta": [
              0.22493164980693336,
              0.2249316498069618
            ],
            "approximateResidual": 0.2249316498069618,
            "approximateError": 22.493164980695695,
            "approximateBound": 40.04658275134848,
            "pathDistance": 8.632999950433657,
            "pathBound": 8.632999950434012,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3249316498069561
          },
          {
            "k": 199,
            "value": [
              194.68652938293815,
              198.9845236522791
            ],
            "q": [
              [
                193.73966408910877,
                194.9946784157563
              ],
              [
                199.2926726850973,
                194.73966408910877
              ]
            ],
            "tv": [
              194.9946784157563,
              199.2926726850973
            ],
            "delta": [
              0.3081490328181644,
              0.30814903281819284
            ],
            "residual": 0.30814903281819284,
            "minDelta": 0.3081490328181644,
            "maxDelta": 0.30814903281819284,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 30.81490328181806,
            "geometricBound": 31.099446972905323,
            "residualBound": 30.814903281819255,
            "lower": [
              225.50143266475456,
              229.79942693409552
            ],
            "upper": [
              225.5014326647574,
              229.79942693409836
            ],
            "policyLower": [
              225.50143266475456,
              229.79942693409555
            ],
            "optimalUpper": [
              225.50143266475737,
              229.79942693409836
            ],
            "certifiedStop": false,
            "shifted": [
              198.069854505614,
              202.36784877495498
            ],
            "shiftDifference": [
              3.383325122675842,
              3.3833251226758705
            ],
            "shiftExpected": 3.383325122675801,
            "shiftDefect": [
              4.085620730620576e-14,
              6.927791673660977e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2743157815914401,
              0.2743157815914117
            ],
            "approximate": [
              203.33319933386744,
              207.63119360320843
            ],
            "approximateTV": [
              203.55488166717635,
              207.85287593651734
            ],
            "approximateDelta": [
              0.2216823333089053,
              0.2216823333089053
            ],
            "approximateResidual": 0.2216823333089053,
            "approximateError": 22.168233330888768,
            "approximateBound": 39.746116923835,
            "pathDistance": 8.646669950929322,
            "pathBound": 8.646669950929672,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3216823333088996
          },
          {
            "k": 200,
            "value": [
              194.9946784157563,
              199.2926726850973
            ],
            "q": [
              [
                194.04473163159875,
                195.29974595824632
              ],
              [
                199.59774022758728,
                195.04473163159875
              ]
            ],
            "tv": [
              195.29974595824632,
              199.59774022758728
            ],
            "delta": [
              0.3050675424900078,
              0.30506754248997936
            ],
            "residual": 0.3050675424900078,
            "minDelta": 0.30506754248997936,
            "maxDelta": 0.3050675424900078,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 30.506754248999897,
            "geometricBound": 30.78845250317627,
            "residualBound": 30.50675424900075,
            "lower": [
              225.50143266475422,
              229.7994269340952
            ],
            "upper": [
              225.50143266475706,
              229.79942693409805
            ],
            "policyLower": [
              225.50143266475425,
              229.7994269340952
            ],
            "optimalUpper": [
              225.50143266475706,
              229.79942693409802
            ],
            "certifiedStop": false,
            "shifted": [
              198.34417028720543,
              202.6421645565464
            ],
            "shiftDifference": [
              3.3494918714491178,
              3.3494918714490893
            ],
            "shiftExpected": 3.349491871449043,
            "shiftDefect": [
              7.460698725481052e-14,
              4.618527782440651e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.27157262377548363,
              0.27157262377551206
            ],
            "approximate": [
              203.65488166717634,
              207.95287593651733
            ],
            "approximateTV": [
              203.87334717715214,
              208.17134144649313
            ],
            "approximateDelta": [
              0.2184655099758004,
              0.2184655099758004
            ],
            "approximateResidual": 0.2184655099758004,
            "approximateError": 21.846550997579868,
            "approximateBound": 39.44865575459664,
            "pathDistance": 8.660203251420029,
            "pathBound": 8.660203251420375,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3184655099757947
          },
          {
            "k": 201,
            "value": [
              195.29974595824632,
              199.59774022758728
            ],
            "q": [
              [
                194.34674849866386,
                195.6017628253114
              ],
              [
                199.8997570946524,
                195.34674849866386
              ]
            ],
            "tv": [
              195.6017628253114,
              199.8997570946524
            ],
            "delta": [
              0.3020168670650776,
              0.302016867065106
            ],
            "residual": 0.302016867065106,
            "minDelta": 0.3020168670650776,
            "maxDelta": 0.302016867065106,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 30.20168670650989,
            "geometricBound": 30.480567978144506,
            "residualBound": 30.20168670651057,
            "lower": [
              225.50143266475405,
              229.799426934095
            ],
            "upper": [
              225.5014326647569,
              229.79942693409785
            ],
            "policyLower": [
              225.50143266475405,
              229.79942693409504
            ],
            "optimalUpper": [
              225.50143266475686,
              229.79942693409785
            ],
            "certifiedStop": false,
            "shifted": [
              198.6157429109809,
              202.9137371803219
            ],
            "shiftDifference": [
              3.3159969527345936,
              3.315996952734622
            ],
            "shiftExpected": 3.3159969527345527,
            "shiftDefect": [
              4.085620730620576e-14,
              6.927791673660977e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2688568975377734,
              0.268856897537745
            ],
            "approximate": [
              203.97334717715214,
              208.27134144649312
            ],
            "approximateTV": [
              204.1886280320282,
              208.48662230136918
            ],
            "approximateDelta": [
              0.21528085487605608,
              0.21528085487605608
            ],
            "approximateResidual": 0.21528085487605608,
            "approximateError": 21.528085487604073,
            "approximateBound": 39.15416919705068,
            "pathDistance": 8.673601218905844,
            "pathBound": 8.673601218906173,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3152808548760504
          },
          {
            "k": 202,
            "value": [
              195.6017628253114,
              199.8997570946524
            ],
            "q": [
              [
                194.6457451970583,
                195.90075952370586
              ],
              [
                200.19875379304685,
                195.6457451970583
              ]
            ],
            "tv": [
              195.90075952370586,
              200.19875379304685
            ],
            "delta": [
              0.2989966983944612,
              0.2989966983944612
            ],
            "residual": 0.2989966983944612,
            "minDelta": 0.2989966983944612,
            "maxDelta": 0.2989966983944612,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 29.89966983944481,
            "geometricBound": 30.175762298363058,
            "residualBound": 29.899669839446094,
            "lower": [
              225.5014326647575,
              229.79942693409848
            ],
            "upper": [
              225.5014326647575,
              229.79942693409848
            ],
            "policyLower": [
              225.5014326647575,
              229.79942693409848
            ],
            "optimalUpper": [
              225.5014326647575,
              229.79942693409848
            ],
            "certifiedStop": false,
            "shifted": [
              198.8845998085187,
              203.18259407785965
            ],
            "shiftDifference": [
              3.2828369832072894,
              3.282836983207261
            ],
            "shiftExpected": 3.282836983207207,
            "shiftDefect": [
              8.260059303211165e-14,
              5.417888360170764e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2661683285623724,
              0.2661683285623724
            ],
            "approximate": [
              204.28862803202819,
              208.58662230136918
            ],
            "approximateTV": [
              204.5007560783555,
              208.79875034769645
            ],
            "approximateDelta": [
              0.21212804632730808,
              0.21212804632727966
            ],
            "approximateResidual": 0.21212804632730808,
            "approximateError": 21.212804632728023,
            "approximateBound": 38.86262750508017,
            "pathDistance": 8.686865206716789,
            "pathBound": 8.68686520671711,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3121280463273024
          },
          {
            "k": 203,
            "value": [
              195.90075952370586,
              200.19875379304685
            ],
            "q": [
              [
                194.9417519284688,
                196.1967662551164
              ],
              [
                200.49476052445732,
                195.9417519284688
              ]
            ],
            "tv": [
              196.1967662551164,
              200.49476052445732
            ],
            "delta": [
              0.2960067314105288,
              0.29600673141047196
            ],
            "residual": 0.2960067314105288,
            "minDelta": 0.29600673141047196,
            "maxDelta": 0.2960067314105288,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 29.60067314105035,
            "geometricBound": 29.874004675379428,
            "residualBound": 29.600673141052855,
            "lower": [
              225.50143266475303,
              229.79942693409401
            ],
            "upper": [
              225.5014326647587,
              229.7994269340997
            ],
            "policyLower": [
              225.50143266475308,
              229.79942693409401
            ],
            "optimalUpper": [
              225.5014326647587,
              229.79942693409964
            ],
            "certifiedStop": false,
            "shifted": [
              199.15076813708106,
              203.44876240642202
            ],
            "shiftDifference": [
              3.2500086133752006,
              3.250008613375172
            ],
            "shiftExpected": 3.250008613375135,
            "shiftDefect": [
              6.572520305780927e-14,
              3.730349362740526e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.26350664527674894,
              0.26350664527674894
            ],
            "approximate": [
              204.6007560783555,
              208.89875034769645
            ],
            "approximateTV": [
              204.80976284421948,
              209.10775711356047
            ],
            "approximateDelta": [
              0.20900676586398959,
              0.209006765864018
            ],
            "approximateResidual": 0.209006765864018,
            "approximateError": 20.90067658640072,
            "approximateBound": 38.57400123002937,
            "pathDistance": 8.69999655464963,
            "pathBound": 8.699996554649939,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3090067658640123
          },
          {
            "k": 204,
            "value": [
              196.1967662551164,
              200.49476052445732
            ],
            "q": [
              [
                195.23479859256523,
                196.48981291921274
              ],
              [
                200.78780718855373,
                196.23479859256523
              ]
            ],
            "tv": [
              196.48981291921274,
              200.78780718855373
            ],
            "delta": [
              0.2930466640963516,
              0.29304666409640845
            ],
            "residual": 0.29304666409640845,
            "minDelta": 0.2930466640963516,
            "maxDelta": 0.29304666409640845,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 29.30466640963985,
            "geometricBound": 29.575264628625636,
            "residualBound": 29.30466640964082,
            "lower": [
              225.50143266475152,
              229.79942693409245
            ],
            "upper": [
              225.5014326647572,
              229.79942693409814
            ],
            "policyLower": [
              225.50143266475152,
              229.7994269340925
            ],
            "optimalUpper": [
              225.50143266475715,
              229.79942693409814
            ],
            "certifiedStop": false,
            "shifted": [
              199.4142747823578,
              203.71226905169877
            ],
            "shiftDifference": [
              3.217508527241421,
              3.217508527241449
            ],
            "shiftExpected": 3.2175085272413835,
            "shiftDefect": [
              3.730349362740526e-14,
              6.572520305780927e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2608715788239806,
              0.2608715788239806
            ],
            "approximate": [
              204.90976284421947,
              209.20775711356046
            ],
            "approximateTV": [
              205.11567954242486,
              209.41367381176582
            ],
            "approximateDelta": [
              0.20591669820538527,
              0.20591669820535685
            ],
            "approximateResidual": 0.20591669820538527,
            "approximateError": 20.591669820536737,
            "approximateBound": 38.28826121772907,
            "pathDistance": 8.712996589103142,
            "pathBound": 8.712996589103438,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3059166982053796
          },
          {
            "k": 205,
            "value": [
              196.48981291921274,
              200.78780718855373
            ],
            "q": [
              [
                195.5249147900206,
                196.7799291166682
              ],
              [
                201.07792338600913,
                196.5249147900206
              ]
            ],
            "tv": [
              196.7799291166682,
              201.07792338600913
            ],
            "delta": [
              0.29011619745546113,
              0.2901161974554043
            ],
            "residual": 0.29011619745546113,
            "minDelta": 0.2901161974554043,
            "maxDelta": 0.29011619745546113,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 29.01161974554347,
            "geometricBound": 29.27951198233938,
            "residualBound": 29.01161974554609,
            "lower": [
              225.50143266475314,
              229.79942693409413
            ],
            "upper": [
              225.50143266475882,
              229.7994269340998
            ],
            "policyLower": [
              225.5014326647532,
              229.79942693409413
            ],
            "optimalUpper": [
              225.50143266475882,
              229.79942693409976
            ],
            "certifiedStop": false,
            "shifted": [
              199.6751463611818,
              203.97314063052275
            ],
            "shiftDifference": [
              3.1853334419690498,
              3.1853334419690214
            ],
            "shiftExpected": 3.18533344196897,
            "shiftDefect": [
              7.993605777301127e-14,
              5.1514348342607263e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2582628630357249,
              0.2582628630357533
            ],
            "approximate": [
              205.21567954242485,
              209.5136738117658
            ],
            "approximateTV": [
              205.41853707364814,
              209.71653134298913
            ],
            "approximateDelta": [
              0.20285753122328742,
              0.20285753122331585
            ],
            "approximateResidual": 0.20285753122331585,
            "approximateError": 20.285753122331357,
            "approximateBound": 38.00537860555178,
            "pathDistance": 8.725866623212113,
            "pathBound": 8.725866623212404,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.30285753122331016
          },
          {
            "k": 206,
            "value": [
              196.7799291166682,
              201.07792338600913
            ],
            "q": [
              [
                195.81212982550153,
                197.06714415214904
              ],
              [
                201.36513842149003,
                196.81212982550153
              ]
            ],
            "tv": [
              197.06714415214904,
              201.36513842149003
            ],
            "delta": [
              0.28721503548084115,
              0.287215035480898
            ],
            "residual": 0.287215035480898,
            "minDelta": 0.28721503548084115,
            "maxDelta": 0.287215035480898,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 28.721503548088037,
            "geometricBound": 28.98671686251598,
            "residualBound": 28.721503548089775,
            "lower": [
              225.5014326647523,
              229.79942693409322
            ],
            "upper": [
              225.50143266475797,
              229.7994269340989
            ],
            "policyLower": [
              225.5014326647523,
              229.79942693409328
            ],
            "optimalUpper": [
              225.5014326647579,
              229.7994269340989
            ],
            "certifiedStop": false,
            "shifted": [
              199.9334092242175,
              204.2314034935585
            ],
            "shiftDifference": [
              3.1534801075493135,
              3.1534801075493704
            ],
            "shiftExpected": 3.1534801075492793,
            "shiftDefect": [
              3.419486915845482e-14,
              9.103828801926284e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.25568023440538923,
              0.25568023440538923
            ],
            "approximate": [
              205.51853707364813,
              209.81653134298912
            ],
            "approximateTV": [
              205.71836602955923,
              210.01636029890017
            ],
            "approximateDelta": [
              0.1998289559111015,
              0.19982895591104466
            ],
            "approximateResidual": 0.1998289559111015,
            "approximateError": 19.982895591108075,
            "approximateBound": 37.725324819496265,
            "pathDistance": 8.73860795697999,
            "pathBound": 8.738607956980282,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2998289559110958
          },
          {
            "k": 207,
            "value": [
              197.06714415214904,
              201.36513842149003
            ],
            "q": [
              [
                196.09647271062755,
                197.35148703727512
              ],
              [
                201.6494813066161,
                197.09647271062755
              ]
            ],
            "tv": [
              197.35148703727512,
              201.6494813066161
            ],
            "delta": [
              0.28434288512607964,
              0.28434288512607964
            ],
            "residual": 0.28434288512607964,
            "minDelta": 0.28434288512607964,
            "maxDelta": 0.28434288512607964,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 28.434288512607168,
            "geometricBound": 28.696849693890822,
            "residualBound": 28.43428851260794,
            "lower": [
              225.50143266475698,
              229.79942693409797
            ],
            "upper": [
              225.50143266475698,
              229.79942693409797
            ],
            "policyLower": [
              225.50143266475698,
              229.79942693409797
            ],
            "optimalUpper": [
              225.50143266475698,
              229.79942693409797
            ],
            "certifiedStop": false,
            "shifted": [
              200.1890894586229,
              204.4870837279639
            ],
            "shiftDifference": [
              3.1219453064738616,
              3.1219453064738616
            ],
            "shiftExpected": 3.121945306473787,
            "shiftDefect": [
              7.460698725481052e-14,
              7.460698725481052e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2531234320613578,
              0.25312343206132937
            ],
            "approximate": [
              205.81836602955923,
              210.11636029890016
            ],
            "approximateTV": [
              206.01519669591116,
              210.31319096525218
            ],
            "approximateDelta": [
              0.19683066635192858,
              0.19683066635201385
            ],
            "approximateResidual": 0.19683066635201385,
            "approximateError": 19.683066635197008,
            "approximateBound": 37.4480715713013,
            "pathDistance": 8.751221877410188,
            "pathBound": 8.751221877410478,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.29683066635200817
          },
          {
            "k": 208,
            "value": [
              197.35148703727512,
              201.6494813066161
            ],
            "q": [
              [
                196.37797216690237,
                197.63298649354994
              ],
              [
                201.93098076289093,
                197.37797216690237
              ]
            ],
            "tv": [
              197.63298649354994,
              201.93098076289093
            ],
            "delta": [
              0.28149945627481543,
              0.28149945627481543
            ],
            "residual": 0.28149945627481543,
            "minDelta": 0.28149945627481543,
            "maxDelta": 0.28149945627481543,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 28.149945627481088,
            "geometricBound": 28.409881196951915,
            "residualBound": 28.149945627481518,
            "lower": [
              225.50143266475663,
              229.79942693409762
            ],
            "upper": [
              225.50143266475663,
              229.79942693409762
            ],
            "policyLower": [
              225.50143266475663,
              229.79942693409762
            ],
            "optimalUpper": [
              225.50143266475663,
              229.79942693409762
            ],
            "certifiedStop": false,
            "shifted": [
              200.44221289068426,
              204.74020716002522
            ],
            "shiftDifference": [
              3.0907258534091397,
              3.0907258534091113
            ],
            "shiftExpected": 3.090725853409049,
            "shiftDefect": [
              9.059419880941277e-14,
              6.217248937900877e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2505921977407013,
              0.2505921977407297
            ],
            "approximate": [
              206.11519669591115,
              210.41319096525217
            ],
            "approximateTV": [
              206.30905905559965,
              210.60705332494064
            ],
            "approximateDelta": [
              0.1938623596884952,
              0.19386235968846677
            ],
            "approximateResidual": 0.1938623596884952,
            "approximateError": 19.386235968845057,
            "approximateBound": 37.17359085558829,
            "pathDistance": 8.76370965863606,
            "pathBound": 8.763709658636373,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2938623596884895
          },
          {
            "k": 209,
            "value": [
              197.63298649354994,
              201.93098076289093
            ],
            "q": [
              [
                196.65665662861443,
                197.91167095526203
              ],
              [
                202.20966522460296,
                197.65665662861443
              ]
            ],
            "tv": [
              197.91167095526203,
              202.20966522460296
            ],
            "delta": [
              0.27868446171208916,
              0.2786844617120323
            ],
            "residual": 0.27868446171208916,
            "minDelta": 0.2786844617120323,
            "maxDelta": 0.27868446171208916,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 27.868446171206273,
            "geometricBound": 28.125782384982397,
            "residualBound": 27.86844617120889,
            "lower": [
              225.50143266475314,
              229.79942693409413
            ],
            "upper": [
              225.50143266475882,
              229.7994269340998
            ],
            "policyLower": [
              225.5014326647532,
              229.79942693409413
            ],
            "optimalUpper": [
              225.50143266475882,
              229.79942693409976
            ],
            "certifiedStop": false,
            "shifted": [
              200.69280508842496,
              204.99079935776595
            ],
            "shiftDifference": [
              3.0598185948750256,
              3.0598185948750256
            ],
            "shiftExpected": 3.0598185948749586,
            "shiftDefect": [
              6.705747068735946e-14,
              6.705747068735946e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.24808627576334175,
              0.2480862757632849
            ],
            "approximate": [
              206.40905905559964,
              210.70705332494063
            ],
            "approximateTV": [
              206.59998279169122,
              210.89797706103218
            ],
            "approximateDelta": [
              0.19092373609157676,
              0.19092373609154834
            ],
            "approximateResidual": 0.19092373609157676,
            "approximateError": 19.092373609156567,
            "approximateBound": 36.901854947032405,
            "pathDistance": 8.776072562049706,
            "pathBound": 8.77607256205001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2909237360915711
          },
          {
            "k": 210,
            "value": [
              197.91167095526203,
              202.20966522460296
            ],
            "q": [
              [
                196.9325542457094,
                198.18756857235692
              ],
              [
                202.48556284169794,
                197.9325542457094
              ]
            ],
            "tv": [
              198.18756857235692,
              202.48556284169794
            ],
            "delta": [
              0.27589761709489835,
              0.2758976170949836
            ],
            "residual": 0.2758976170949836,
            "minDelta": 0.27589761709489835,
            "maxDelta": 0.2758976170949836,
            "spanDelta": 8.526512829121202e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 8.441247700829982e-12,
            "error": 27.589761709494212,
            "geometricBound": 27.84452456113257,
            "residualBound": 27.589761709498337,
            "lower": [
              225.50143266475183,
              229.79942693409276
            ],
            "upper": [
              225.50143266476036,
              229.7994269341013
            ],
            "policyLower": [
              225.50143266475183,
              229.79942693409285
            ],
            "optimalUpper": [
              225.50143266476027,
              229.7994269341013
            ],
            "certifiedStop": false,
            "shifted": [
              200.9408913641883,
              205.23888563352924
            ],
            "shiftDifference": [
              3.029220408926278,
              3.029220408926278
            ],
            "shiftExpected": 3.029220408926209,
            "shiftDefect": [
              6.927791673660977e-14,
              6.927791673660977e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.24560541300564864,
              0.24560541300567706
            ],
            "approximate": [
              206.6999827916912,
              210.99797706103217
            ],
            "approximateTV": [
              206.88799729042185,
              211.18599155976284
            ],
            "approximateDelta": [
              0.18801449873063802,
              0.18801449873066645
            ],
            "approximateResidual": 0.18801449873066645,
            "approximateError": 18.801449873064996,
            "approximateBound": 36.63283639756208,
            "pathDistance": 8.788311836429216,
            "pathBound": 8.788311836429509,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.28801449873066076
          },
          {
            "k": 211,
            "value": [
              198.18756857235692,
              202.48556284169794
            ],
            "q": [
              [
                197.20569288663336,
                198.46070721328095
              ],
              [
                202.75870148262192,
                198.20569288663336
              ]
            ],
            "tv": [
              198.46070721328095,
              202.75870148262192
            ],
            "delta": [
              0.2731386409240315,
              0.27313864092397466
            ],
            "residual": 0.2731386409240315,
            "minDelta": 0.27313864092397466,
            "maxDelta": 0.2731386409240315,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 27.313864092399285,
            "geometricBound": 27.566079315521247,
            "residualBound": 27.313864092403126,
            "lower": [
              225.50143266475436,
              229.79942693409538
            ],
            "upper": [
              225.50143266476005,
              229.79942693410106
            ],
            "policyLower": [
              225.50143266475442,
              229.79942693409538
            ],
            "optimalUpper": [
              225.50143266476005,
              229.799426934101
            ],
            "certifiedStop": false,
            "shifted": [
              201.18649677719395,
              205.4844910465349
            ],
            "shiftDifference": [
              2.9989282048370285,
              2.9989282048369716
            ],
            "shiftExpected": 2.9989282048369468,
            "shiftDefect": [
              8.171241461241152e-14,
              2.4868995751603507e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2431493588755984,
              0.24314935887562683
            ],
            "approximate": [
              206.98799729042184,
              211.28599155976283
            ],
            "approximateTV": [
              207.1731316441652,
              211.47112591350614
            ],
            "approximateDelta": [
              0.18513435374336495,
              0.1851343537433081
            ],
            "approximateResidual": 0.18513435374336495,
            "approximateError": 18.513435374334364,
            "approximateBound": 36.366508033586456,
            "pathDistance": 8.800428718064921,
            "pathBound": 8.800428718065213,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.28513435374335927
          },
          {
            "k": 212,
            "value": [
              198.46070721328095,
              202.75870148262192
            ],
            "q": [
              [
                197.47610014114815,
                198.7311144677957
              ],
              [
                203.02910873713668,
                198.47610014114815
              ]
            ],
            "tv": [
              198.7311144677957,
              203.02910873713668
            ],
            "delta": [
              0.2704072545147369,
              0.2704072545147653
            ],
            "residual": 0.2704072545147653,
            "minDelta": 0.2704072545147369,
            "maxDelta": 0.2704072545147653,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 27.040725451475254,
            "geometricBound": 27.290418522366032,
            "residualBound": 27.040725451476508,
            "lower": [
              225.50143266475462,
              229.79942693409558
            ],
            "upper": [
              225.50143266475746,
              229.79942693409842
            ],
            "policyLower": [
              225.50143266475462,
              229.7994269340956
            ],
            "optimalUpper": [
              225.50143266475743,
              229.79942693409842
            ],
            "certifiedStop": false,
            "shifted": [
              201.42964613606955,
              205.72764040541054
            ],
            "shiftDifference": [
              2.9689389227885954,
              2.968938922788624
            ],
            "shiftExpected": 2.968938922788577,
            "shiftDefect": [
              1.8207657603852567e-14,
              4.6629367034256575e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.24071786528688222,
              0.2407178652868538
            ],
            "approximate": [
              207.2731316441652,
              211.57112591350614
            ],
            "approximateTV": [
              207.45541465437108,
              211.75340892371204
            ],
            "approximateDelta": [
              0.18228301020587878,
              0.1822830102059072
            ],
            "approximateResidual": 0.1822830102059072,
            "approximateError": 18.228301020591033,
            "approximateBound": 36.102842953250594,
            "pathDistance": 8.81242443088425,
            "pathBound": 8.81242443088456,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2822830102059015
          },
          {
            "k": 213,
            "value": [
              198.7311144677957,
              203.02910873713668
            ],
            "q": [
              [
                197.74380332311773,
                198.9988176497653
              ],
              [
                203.29681191910626,
                198.74380332311773
              ]
            ],
            "tv": [
              198.9988176497653,
              203.29681191910626
            ],
            "delta": [
              0.2677031819696083,
              0.2677031819695799
            ],
            "residual": 0.2677031819696083,
            "minDelta": 0.2677031819695799,
            "maxDelta": 0.2677031819696083,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 26.770318196960517,
            "geometricBound": 27.017514337142373,
            "residualBound": 26.770318196960805,
            "lower": [
              225.50143266475365,
              229.79942693409464
            ],
            "upper": [
              225.5014326647565,
              229.79942693409748
            ],
            "policyLower": [
              225.50143266475368,
              229.79942693409464
            ],
            "optimalUpper": [
              225.5014326647565,
              229.79942693409745
            ],
            "certifiedStop": false,
            "shifted": [
              201.67036400135643,
              205.9683582706974
            ],
            "shiftDifference": [
              2.9392495335607407,
              2.9392495335607123
            ],
            "shiftExpected": 2.9392495335606914,
            "shiftDefect": [
              4.929390229335695e-14,
              2.0872192862952943e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.23831068663398014,
              0.23831068663400856
            ],
            "approximate": [
              207.55541465437108,
              211.85340892371204
            ],
            "approximateTV": [
              207.7348748344749,
              212.0328691038159
            ],
            "approximateDelta": [
              0.17946018010383114,
              0.17946018010385956
            ],
            "approximateResidual": 0.17946018010385956,
            "approximateError": 17.94601801038513,
            "approximateBound": 35.841814523718085,
            "pathDistance": 8.824300186575385,
            "pathBound": 8.824300186575716,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2794601801038539
          },
          {
            "k": 214,
            "value": [
              198.9988176497653,
              203.29681191910626
            ],
            "q": [
              [
                198.00882947326764,
                199.2638437999152
              ],
              [
                203.56183806925617,
                199.00882947326764
              ]
            ],
            "tv": [
              199.2638437999152,
              203.56183806925617
            ],
            "delta": [
              0.2650261501499074,
              0.2650261501499074
            ],
            "residual": 0.2650261501499074,
            "minDelta": 0.2650261501499074,
            "maxDelta": 0.2650261501499074,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 26.50261501499091,
            "geometricBound": 26.747339193770948,
            "residualBound": 26.502615014990713,
            "lower": [
              225.501432664756,
              229.79942693409697
            ],
            "upper": [
              225.501432664756,
              229.79942693409697
            ],
            "policyLower": [
              225.501432664756,
              229.79942693409697
            ],
            "optimalUpper": [
              225.501432664756,
              229.79942693409697
            ],
            "certifiedStop": false,
            "shifted": [
              201.9086746879904,
              206.2066689573314
            ],
            "shiftDifference": [
              2.9098570382251125,
              2.909857038225141
            ],
            "shiftExpected": 2.9098570382250846,
            "shiftDefect": [
              2.7977620220553945e-14,
              5.639932965095795e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.23592757976766165,
              0.23592757976763323
            ],
            "approximate": [
              207.8348748344749,
              212.1328691038159
            ],
            "approximateTV": [
              208.01154041277772,
              212.3095346821187
            ],
            "approximateDelta": [
              0.17666557830281704,
              0.17666557830281704
            ],
            "approximateResidual": 0.17666557830281704,
            "approximateError": 17.666557830281306,
            "approximateBound": 35.583396378480906,
            "pathDistance": 8.836057184709631,
            "pathBound": 8.83605718470996,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.27666557830281135
          },
          {
            "k": 215,
            "value": [
              199.2638437999152,
              203.56183806925617
            ],
            "q": [
              [
                198.27120536191606,
                199.5262196885636
              ],
              [
                203.8242139579046,
                199.27120536191606
              ]
            ],
            "tv": [
              199.5262196885636,
              203.8242139579046
            ],
            "delta": [
              0.2623758886483927,
              0.2623758886484211
            ],
            "residual": 0.2623758886484211,
            "minDelta": 0.2623758886483927,
            "maxDelta": 0.2623758886484211,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 26.237588864841,
            "geometricBound": 26.47986580183324,
            "residualBound": 26.237588864842085,
            "lower": [
              225.50143266475445,
              229.7994269340954
            ],
            "upper": [
              225.5014326647573,
              229.79942693409825
            ],
            "policyLower": [
              225.50143266475445,
              229.79942693409544
            ],
            "optimalUpper": [
              225.50143266475726,
              229.79942693409825
            ],
            "certifiedStop": false,
            "shifted": [
              202.14460226775807,
              206.44259653709904
            ],
            "shiftDifference": [
              2.880758467842867,
              2.880758467842867
            ],
            "shiftExpected": 2.8807584678428335,
            "shiftDefect": [
              3.3306690738754696e-14,
              3.3306690738754696e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.23356830396997452,
              0.23356830396997452
            ],
            "approximate": [
              208.1115404127777,
              212.4095346821187
            ],
            "approximateTV": [
              208.28543933529753,
              212.5834336046385
            ],
            "approximateDelta": [
              0.1738989225198111,
              0.17389892251978267
            ],
            "approximateResidual": 0.1738989225198111,
            "approximateError": 17.389892251978495,
            "approximateBound": 35.3275624146961,
            "pathDistance": 8.847696612862535,
            "pathBound": 8.84769661286286,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2738989225198054
          },
          {
            "k": 216,
            "value": [
              199.5262196885636,
              203.8242139579046
            ],
            "q": [
              [
                198.53095749167795,
                199.78597181832555
              ],
              [
                204.0839660876665,
                199.53095749167795
              ]
            ],
            "tv": [
              199.78597181832555,
              204.0839660876665
            ],
            "delta": [
              0.2597521297619494,
              0.25975212976192097
            ],
            "residual": 0.2597521297619494,
            "minDelta": 0.25975212976192097,
            "maxDelta": 0.2597521297619494,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 25.97521297619261,
            "geometricBound": 26.215067143814906,
            "residualBound": 25.975212976194918,
            "lower": [
              225.50143266475567,
              229.79942693409666
            ],
            "upper": [
              225.5014326647585,
              229.7994269340995
            ],
            "policyLower": [
              225.5014326647557,
              229.79942693409666
            ],
            "optimalUpper": [
              225.5014326647585,
              229.79942693409947
            ],
            "certifiedStop": false,
            "shifted": [
              202.37817057172805,
              206.676164841069
            ],
            "shiftDifference": [
              2.8519508831644487,
              2.8519508831644202
            ],
            "shiftExpected": 2.851950883164405,
            "shiftDefect": [
              4.3520742565306136e-14,
              1.509903313490213e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.23123262093025687,
              0.2312326209302853
            ],
            "approximate": [
              208.38543933529752,
              212.68343360463848
            ],
            "approximateTV": [
              208.5565992685921,
              212.85459353793308
            ],
            "approximateDelta": [
              0.17115993329457524,
              0.17115993329460366
            ],
            "approximateResidual": 0.17115993329460366,
            "approximateError": 17.11599332945869,
            "approximateBound": 35.07428679054914,
            "pathDistance": 8.85921964673392,
            "pathBound": 8.85921964673423,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.271159933294598
          },
          {
            "k": 217,
            "value": [
              199.78597181832555,
              204.0839660876665
            ],
            "q": [
              [
                198.78811210014229,
                200.04312642678985
              ],
              [
                204.34112069613082,
                199.78811210014229
              ]
            ],
            "tv": [
              200.04312642678985,
              204.34112069613082
            ],
            "delta": [
              0.2571546084643046,
              0.2571546084643046
            ],
            "residual": 0.2571546084643046,
            "minDelta": 0.2571546084643046,
            "maxDelta": 0.2571546084643046,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 25.71546084643066,
            "geometricBound": 25.952916472376756,
            "residualBound": 25.71546084643044,
            "lower": [
              225.50143266475598,
              229.79942693409694
            ],
            "upper": [
              225.50143266475598,
              229.79942693409694
            ],
            "policyLower": [
              225.50143266475598,
              229.79942693409694
            ],
            "optimalUpper": [
              225.50143266475598,
              229.79942693409694
            ],
            "certifiedStop": false,
            "shifted": [
              202.6094031926583,
              206.9073974619993
            ],
            "shiftDifference": [
              2.823431374332756,
              2.8234313743327846
            ],
            "shiftExpected": 2.823431374332761,
            "shiftDefect": [
              -4.884981308350689e-15,
              2.353672812205332e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.22892029472100717,
              0.22892029472095032
            ],
            "approximate": [
              208.6565992685921,
              212.95459353793308
            ],
            "approximateTV": [
              208.82504760255375,
              213.1230418718947
            ],
            "approximateDelta": [
              0.16844833396166337,
              0.16844833396163494
            ],
            "approximateResidual": 0.16844833396166337,
            "approximateError": 16.84483339616412,
            "approximateBound": 34.823543922643644,
            "pathDistance": 8.870627450266568,
            "pathBound": 8.870627450266888,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2684483339616577
          },
          {
            "k": 218,
            "value": [
              200.04312642678985,
              204.34112069613082
            ],
            "q": [
              [
                199.04269516252197,
                200.2977094891695
              ],
              [
                204.5957037585105,
                200.04269516252197
              ]
            ],
            "tv": [
              200.2977094891695,
              204.5957037585105
            ],
            "delta": [
              0.2545830623796519,
              0.2545830623796803
            ],
            "residual": 0.2545830623796803,
            "minDelta": 0.2545830623796519,
            "maxDelta": 0.2545830623796803,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 25.458306237966355,
            "geometricBound": 25.693387307652987,
            "residualBound": 25.45830623796801,
            "lower": [
              225.50143266475501,
              229.79942693409598
            ],
            "upper": [
              225.50143266475786,
              229.79942693409882
            ],
            "policyLower": [
              225.50143266475501,
              229.799426934096
            ],
            "optimalUpper": [
              225.50143266475783,
              229.79942693409882
            ],
            "certifiedStop": false,
            "shifted": [
              202.8383234873793,
              207.13631775672025
            ],
            "shiftDifference": [
              2.7951970605894587,
              2.7951970605894303
            ],
            "shiftExpected": 2.7951970605894334,
            "shiftDefect": [
              2.531308496145357e-14,
              -3.1086244689504383e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.22663109177372576,
              0.2266310917737826
            ],
            "approximate": [
              208.92504760255375,
              213.2230418718947
            ],
            "approximateTV": [
              209.09081145317575,
              213.38880572251674
            ],
            "approximateDelta": [
              0.1657638506219996,
              0.16576385062202803
            ],
            "approximateResidual": 0.16576385062202803,
            "approximateError": 16.576385062202462,
            "approximateBound": 34.5753084834172,
            "pathDistance": 8.881921175763893,
            "pathBound": 8.88192117576422,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.26576385062202235
          },
          {
            "k": 219,
            "value": [
              200.2977094891695,
              204.5957037585105
            ],
            "q": [
              [
                199.29473239427782,
                200.54974672092538
              ],
              [
                204.84774099026635,
                200.29473239427782
              ]
            ],
            "tv": [
              200.54974672092538,
              204.84774099026635
            ],
            "delta": [
              0.2520372317558781,
              0.2520372317558497
            ],
            "residual": 0.2520372317558781,
            "minDelta": 0.2520372317558497,
            "maxDelta": 0.2520372317558781,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 25.203723175586703,
            "geometricBound": 25.436453434576457,
            "residualBound": 25.20372317558779,
            "lower": [
              225.50143266475445,
              229.79942693409544
            ],
            "upper": [
              225.5014326647573,
              229.79942693409828
            ],
            "policyLower": [
              225.50143266475447,
              229.79942693409544
            ],
            "optimalUpper": [
              225.5014326647573,
              229.79942693409825
            ],
            "certifiedStop": false,
            "shifted": [
              203.06495457915304,
              207.36294884849403
            ],
            "shiftDifference": [
              2.7672450899835326,
              2.7672450899835326
            ],
            "shiftExpected": 2.7672450899835392,
            "shiftDefect": [
              -6.661338147750939e-15,
              -6.661338147750939e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2243647808560354,
              0.22436478085600697
            ],
            "approximate": [
              209.19081145317574,
              213.48880572251673
            ],
            "approximateTV": [
              209.35391766529156,
              213.65191193463255
            ],
            "approximateDelta": [
              0.16310621211582088,
              0.16310621211582088
            ],
            "approximateResidual": 0.16310621211582088,
            "approximateError": 16.310621211580468,
            "approximateBound": 34.32955539858303,
            "pathDistance": 8.893101964006235,
            "pathBound": 8.893101964006577,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2631062121158152
          },
          {
            "k": 220,
            "value": [
              200.54974672092538,
              204.84774099026635
            ],
            "q": [
              [
                199.54424925371612,
                200.7992635803637
              ],
              [
                205.09725784970465,
                200.54424925371612
              ]
            ],
            "tv": [
              200.7992635803637,
              205.09725784970465
            ],
            "delta": [
              0.2495168594383017,
              0.2495168594383017
            ],
            "residual": 0.2495168594383017,
            "minDelta": 0.2495168594383017,
            "maxDelta": 0.2495168594383017,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 24.951685943830824,
            "geometricBound": 25.182088900230696,
            "residualBound": 24.95168594383015,
            "lower": [
              225.50143266475553,
              229.7994269340965
            ],
            "upper": [
              225.50143266475553,
              229.7994269340965
            ],
            "policyLower": [
              225.50143266475553,
              229.7994269340965
            ],
            "optimalUpper": [
              225.50143266475553,
              229.7994269340965
            ],
            "certifiedStop": false,
            "shifted": [
              203.28931936000907,
              207.58731362935004
            ],
            "shiftDifference": [
              2.73957263908369,
              2.73957263908369
            ],
            "shiftExpected": 2.739572639083704,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.22212113304746595,
              0.22212113304746595
            ],
            "approximate": [
              209.45391766529156,
              213.75191193463255
            ],
            "approximateTV": [
              209.6143928152862,
              213.91238708462717
            ],
            "approximateDelta": [
              0.16047514999465307,
              0.16047514999462464
            ],
            "approximateResidual": 0.16047514999465307,
            "approximateError": 16.047514999464653,
            "approximateBound": 34.08625984459721,
            "pathDistance": 8.9041709443662,
            "pathBound": 8.904170944366511,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2604751499946474
          },
          {
            "k": 221,
            "value": [
              200.7992635803637,
              205.09725784970465
            ],
            "q": [
              [
                199.79127094456004,
                201.0462852712076
              ],
              [
                205.34427954054857,
                200.79127094456004
              ]
            ],
            "tv": [
              201.0462852712076,
              205.34427954054857
            ],
            "delta": [
              0.24702169084392267,
              0.24702169084392267
            ],
            "residual": 0.24702169084392267,
            "minDelta": 0.24702169084392267,
            "maxDelta": 0.24702169084392267,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 24.702169084392523,
            "geometricBound": 24.930268011228385,
            "residualBound": 24.702169084392246,
            "lower": [
              225.50143266475592,
              229.79942693409689
            ],
            "upper": [
              225.50143266475592,
              229.79942693409689
            ],
            "policyLower": [
              225.50143266475592,
              229.79942693409689
            ],
            "optimalUpper": [
              225.50143266475592,
              229.79942693409689
            ],
            "certifiedStop": false,
            "shifted": [
              203.51144049305654,
              207.8094347623975
            ],
            "shiftDifference": [
              2.712176912692854,
              2.712176912692854
            ],
            "shiftExpected": 2.7121769126928665,
            "shiftDefect": [
              -1.2434497875801753e-14,
              -1.2434497875801753e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2198999217169728,
              0.21989992171700123
            ],
            "approximate": [
              209.7143928152862,
              214.01238708462716
            ],
            "approximateTV": [
              209.87226321378088,
              214.17025748312187
            ],
            "approximateDelta": [
              0.15787039849467988,
              0.1578703984947083
            ],
            "approximateResidual": 0.1578703984947083,
            "approximateError": 15.787039849470005,
            "approximateBound": 33.84539724615123,
            "pathDistance": 8.915129234922517,
            "pathBound": 8.915129234922846,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2578703984947026
          },
          {
            "k": 222,
            "value": [
              201.0462852712076,
              205.34427954054857
            ],
            "q": [
              [
                200.03582241849554,
                201.29083674514308
              ],
              [
                205.58883101448407,
                201.03582241849554
              ]
            ],
            "tv": [
              201.29083674514308,
              205.58883101448407
            ],
            "delta": [
              0.2445514739354735,
              0.24455147393550192
            ],
            "residual": 0.24455147393550192,
            "minDelta": 0.2445514739354735,
            "maxDelta": 0.24455147393550192,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 24.4551473935486,
            "geometricBound": 24.680965331116102,
            "residualBound": 24.45514739355017,
            "lower": [
              225.50143266475493,
              229.7994269340959
            ],
            "upper": [
              225.50143266475777,
              229.79942693409873
            ],
            "policyLower": [
              225.50143266475493,
              229.79942693409592
            ],
            "optimalUpper": [
              225.50143266475774,
              229.79942693409873
            ],
            "certifiedStop": false,
            "shifted": [
              203.7313404147735,
              208.0293346841145
            ],
            "shiftDifference": [
              2.6850551435659042,
              2.6850551435659327
            ],
            "shiftExpected": 2.685055143565938,
            "shiftDefect": [
              -3.375077994860476e-14,
              -5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.21770092249983009,
              0.21770092249980166
            ],
            "approximate": [
              209.97226321378088,
              214.27025748312187
            ],
            "approximateTV": [
              210.12755490829065,
              214.4255491776316
            ],
            "approximateDelta": [
              0.15529169450977065,
              0.15529169450974223
            ],
            "approximateResidual": 0.15529169450977065,
            "approximateError": 15.529169450975331,
            "approximateBound": 33.60694327368972,
            "pathDistance": 8.925977942573297,
            "pathBound": 8.925977942573617,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.25529169450976497
          },
          {
            "k": 223,
            "value": [
              201.29083674514308,
              205.58883101448407
            ],
            "q": [
              [
                200.27792837769164,
                201.53294270433923
              ],
              [
                205.8309369736802,
                201.27792837769164
              ]
            ],
            "tv": [
              201.53294270433923,
              205.8309369736802
            ],
            "delta": [
              0.2421059591961523,
              0.24210595919612388
            ],
            "residual": 0.2421059591961523,
            "minDelta": 0.24210595919612388,
            "maxDelta": 0.2421059591961523,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 24.210595919613127,
            "geometricBound": 24.43415567780494,
            "residualBound": 24.21059591961521,
            "lower": [
              225.50143266475544,
              229.79942693409643
            ],
            "upper": [
              225.50143266475828,
              229.79942693409927
            ],
            "policyLower": [
              225.50143266475547,
              229.79942693409643
            ],
            "optimalUpper": [
              225.50143266475828,
              229.79942693409924
            ],
            "certifiedStop": false,
            "shifted": [
              203.94904133727334,
              208.2470356066143
            ],
            "shiftDifference": [
              2.658204592130261,
              2.6582045921302324
            ],
            "shiftExpected": 2.6582045921302786,
            "shiftDefect": [
              -1.7763568394002505e-14,
              -4.618527782440651e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2155239132748079,
              0.21552391327483633
            ],
            "approximate": [
              210.22755490829064,
              214.5255491776316
            ],
            "approximateTV": [
              210.3802936858553,
              214.67828795519625
            ],
            "approximateDelta": [
              0.15273877756465026,
              0.15273877756465026
            ],
            "approximateResidual": 0.15273877756465026,
            "approximateError": 15.273877756465566,
            "approximateBound": 33.370873840952825,
            "pathDistance": 8.93671816314756,
            "pathBound": 8.936718163147882,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2527387775646446
          },
          {
            "k": 224,
            "value": [
              201.53294270433923,
              205.8309369736802
            ],
            "q": [
              [
                200.51761327729585,
                201.7726276039434
              ],
              [
                206.07062187328438,
                201.51761327729585
              ]
            ],
            "tv": [
              201.7726276039434,
              206.07062187328438
            ],
            "delta": [
              0.23968489960415695,
              0.23968489960418538
            ],
            "residual": 0.23968489960418538,
            "minDelta": 0.23968489960415695,
            "maxDelta": 0.23968489960418538,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 23.968489960416974,
            "geometricBound": 24.18981412102689,
            "residualBound": 23.968489960418516,
            "lower": [
              225.5014326647549,
              229.79942693409586
            ],
            "upper": [
              225.50143266475774,
              229.7994269340987
            ],
            "policyLower": [
              225.5014326647549,
              229.7994269340959
            ],
            "optimalUpper": [
              225.50143266475771,
              229.7994269340987
            ],
            "certifiedStop": false,
            "shifted": [
              204.16456525054815,
              208.46255951988914
            ],
            "shiftDifference": [
              2.6316225462089164,
              2.631622546208945
            ],
            "shiftExpected": 2.631622546208976,
            "shiftDefect": [
              -5.950795411990839e-14,
              -3.108624468950438e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.21336867414208882,
              0.2133686741420604
            ],
            "approximate": [
              210.4802936858553,
              214.77828795519625
            ],
            "approximateTV": [
              210.6305050756443,
              214.92849934498525
            ],
            "approximateDelta": [
              0.15021138978900694,
              0.15021138978900694
            ],
            "approximateResidual": 0.15021138978900694,
            "approximateError": 15.021138978900922,
            "approximateBound": 33.13716510254329,
            "pathDistance": 8.947350981516053,
            "pathBound": 8.947350981516403,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.25021138978900126
          },
          {
            "k": 225,
            "value": [
              201.7726276039434,
              206.07062187328438
            ],
            "q": [
              [
                200.75490132790395,
                202.00991565455155
              ],
              [
                206.3079099238925,
                201.75490132790395
              ]
            ],
            "tv": [
              202.00991565455155,
              206.3079099238925
            ],
            "delta": [
              0.23728805060815716,
              0.23728805060812874
            ],
            "residual": 0.23728805060815716,
            "minDelta": 0.23728805060812874,
            "maxDelta": 0.23728805060815716,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 23.728805060812817,
            "geometricBound": 23.94791597981662,
            "residualBound": 23.728805060815695,
            "lower": [
              225.50143266475624,
              229.79942693409723
            ],
            "upper": [
              225.50143266475908,
              229.79942693410007
            ],
            "policyLower": [
              225.50143266475627,
              229.79942693409723
            ],
            "optimalUpper": [
              225.50143266475908,
              229.79942693410004
            ],
            "certifiedStop": false,
            "shifted": [
              204.37793392469024,
              208.6759281940312
            ],
            "shiftDifference": [
              2.6053063207468483,
              2.60530632074682
            ],
            "shiftExpected": 2.605306320746886,
            "shiftDefect": [
              -3.774758283725532e-14,
              -6.616929226765933e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.21123498740064406,
              0.21123498740067248
            ],
            "approximate": [
              210.7305050756443,
              215.02849934498525
            ],
            "approximateTV": [
              210.8782143515354,
              215.17620862087637
            ],
            "approximateDelta": [
              0.14770927589111693,
              0.14770927589111693
            ],
            "approximateResidual": 0.14770927589111693,
            "approximateError": 14.77092758911192,
            "approximateBound": 32.90579345151786,
            "pathDistance": 8.957877471700897,
            "pathBound": 8.957877471701238,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.24770927589111125
          },
          {
            "k": 226,
            "value": [
              202.00991565455155,
              206.3079099238925
            ],
            "q": [
              [
                200.98981649800604,
                202.24483082465358
              ],
              [
                206.54282509399457,
                201.98981649800604
              ]
            ],
            "tv": [
              202.24483082465358,
              206.54282509399457
            ],
            "delta": [
              0.23491517010202756,
              0.23491517010205598
            ],
            "residual": 0.23491517010205598,
            "minDelta": 0.23491517010202756,
            "maxDelta": 0.23491517010205598,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 23.49151701020466,
            "geometricBound": 23.70843682001846,
            "residualBound": 23.491517010205577,
            "lower": [
              225.50143266475428,
              229.79942693409524
            ],
            "upper": [
              225.50143266475712,
              229.79942693409808
            ],
            "policyLower": [
              225.50143266475428,
              229.79942693409527
            ],
            "optimalUpper": [
              225.5014326647571,
              229.79942693409808
            ],
            "certifiedStop": false,
            "shifted": [
              204.58916891209088,
              208.88716318143187
            ],
            "shiftDifference": [
              2.579253257539335,
              2.5792532575393636
            ],
            "shiftExpected": 2.5792532575394174,
            "shiftDefect": [
              -8.215650382226158e-14,
              -5.3734794391857577e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2091226375266615,
              0.20912263752663307
            ],
            "approximate": [
              210.9782143515354,
              215.27620862087636
            ],
            "approximateTV": [
              211.1234465346676,
              215.42144080400857
            ],
            "approximateDelta": [
              0.1452321831322081,
              0.1452321831322081
            ],
            "approximateResidual": 0.1452321831322081,
            "approximateError": 14.52321831322081,
            "approximateBound": 32.67673551700268,
            "pathDistance": 8.968298696983851,
            "pathBound": 8.968298696984226,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2452321831322024
          },
          {
            "k": 227,
            "value": [
              202.24483082465358,
              206.54282509399457
            ],
            "q": [
              [
                201.22238251640704,
                202.4773968430546
              ],
              [
                206.7753911123956,
                202.22238251640704
              ]
            ],
            "tv": [
              202.4773968430546,
              206.7753911123956
            ],
            "delta": [
              0.2325660184010303,
              0.2325660184010303
            ],
            "residual": 0.2325660184010303,
            "minDelta": 0.2325660184010303,
            "maxDelta": 0.2325660184010303,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 23.256601840102633,
            "geometricBound": 23.47135245181827,
            "residualBound": 23.25660184010301,
            "lower": [
              225.50143266475658,
              229.79942693409757
            ],
            "upper": [
              225.50143266475658,
              229.79942693409757
            ],
            "policyLower": [
              225.50143266475658,
              229.79942693409757
            ],
            "optimalUpper": [
              225.50143266475658,
              229.79942693409757
            ],
            "certifiedStop": false,
            "shifted": [
              204.79829154961755,
              209.0962858189585
            ],
            "shiftDifference": [
              2.553460724963969,
              2.5534607249639407
            ],
            "shiftExpected": 2.553460724964023,
            "shiftDefect": [
              -5.3734794391857577e-14,
              -8.215650382226158e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2070314111513767,
              0.2070314111514051
            ],
            "approximate": [
              211.2234465346676,
              215.52144080400856
            ],
            "approximateTV": [
              211.36622639596848,
              215.66422066530944
            ],
            "approximateDelta": [
              0.14277986130088038,
              0.14277986130088038
            ],
            "approximateResidual": 0.14277986130088038,
            "approximateError": 14.277986130088607,
            "approximateBound": 32.44996816183265,
            "pathDistance": 8.978615710014026,
            "pathBound": 8.978615710014383,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2427798613008747
          },
          {
            "k": 228,
            "value": [
              202.4773968430546,
              206.7753911123956
            ],
            "q": [
              [
                201.45262287462407,
                202.70763720127164
              ],
              [
                207.00563147061263,
                202.45262287462407
              ]
            ],
            "tv": [
              202.70763720127164,
              207.00563147061263
            ],
            "delta": [
              0.23024035821703137,
              0.23024035821703137
            ],
            "residual": 0.23024035821703137,
            "minDelta": 0.23024035821703137,
            "maxDelta": 0.23024035821703137,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 23.024035821701602,
            "geometricBound": 23.23663892730009,
            "residualBound": 23.024035821703116,
            "lower": [
              225.50143266475771,
              229.7994269340987
            ],
            "upper": [
              225.50143266475771,
              229.7994269340987
            ],
            "policyLower": [
              225.50143266475771,
              229.7994269340987
            ],
            "optimalUpper": [
              225.50143266475771,
              229.7994269340987
            ],
            "certifiedStop": false,
            "shifted": [
              205.00532296076892,
              209.3033172301099
            ],
            "shiftDifference": [
              2.5279261177143155,
              2.5279261177143155
            ],
            "shiftExpected": 2.527926117714383,
            "shiftDefect": [
              -6.750155989720952e-14,
              -6.750155989720952e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.20496109703989873,
              0.2049610970398419
            ],
            "approximate": [
              211.46622639596848,
              215.76422066530944
            ],
            "approximateTV": [
              211.60657845865634,
              215.90457272799733
            ],
            "approximateDelta": [
              0.14035206268786737,
              0.1403520626878958
            ],
            "approximateResidual": 0.1403520626878958,
            "approximateError": 14.035206268787732,
            "approximateBound": 32.22546848021433,
            "pathDistance": 8.98882955291387,
            "pathBound": 8.98882955291424,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2403520626878901
          },
          {
            "k": 229,
            "value": [
              202.70763720127164,
              207.00563147061263
            ],
            "q": [
              [
                201.68056082925892,
                202.9355751559065
              ],
              [
                207.23356942524748,
                202.68056082925892
              ]
            ],
            "tv": [
              202.9355751559065,
              207.23356942524748
            ],
            "delta": [
              0.22793795463485367,
              0.22793795463485367
            ],
            "residual": 0.22793795463485367,
            "minDelta": 0.22793795463485367,
            "maxDelta": 0.22793795463485367,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 22.79379546348457,
            "geometricBound": 23.004272538027084,
            "residualBound": 22.793795463485345,
            "lower": [
              225.50143266475698,
              229.79942693409797
            ],
            "upper": [
              225.50143266475698,
              229.79942693409797
            ],
            "policyLower": [
              225.50143266475698,
              229.79942693409797
            ],
            "optimalUpper": [
              225.50143266475698,
              229.79942693409797
            ],
            "certifiedStop": false,
            "shifted": [
              205.21028405780882,
              209.50827832714975
            ],
            "shiftDifference": [
              2.502646856537183,
              2.502646856537126
            ],
            "shiftExpected": 2.502646856537239,
            "shiftDefect": [
              -5.595524044110789e-14,
              -1.127986593019159e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2029114860694392,
              0.20291148606946763
            ],
            "approximate": [
              211.70657845865634,
              216.00457272799733
            ],
            "approximateTV": [
              211.84452700071736,
              216.1425212700583
            ],
            "approximateDelta": [
              0.13794854206102514,
              0.1379485420609683
            ],
            "approximateResidual": 0.13794854206102514,
            "approximateError": 13.79485420609987,
            "approximateBound": 32.00321379541218,
            "pathDistance": 8.9989412573847,
            "pathBound": 8.998941257385097,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.23794854206101945
          },
          {
            "k": 230,
            "value": [
              202.9355751559065,
              207.23356942524748
            ],
            "q": [
              [
                201.9062194043474,
                203.161233730995
              ],
              [
                207.459228000336,
                202.9062194043474
              ]
            ],
            "tv": [
              203.161233730995,
              207.459228000336
            ],
            "delta": [
              0.2256585750885165,
              0.2256585750885165
            ],
            "residual": 0.2256585750885165,
            "minDelta": 0.2256585750885165,
            "maxDelta": 0.2256585750885165,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 22.565857508849717,
            "geometricBound": 22.77422981264682,
            "residualBound": 22.56585750885163,
            "lower": [
              225.5014326647581,
              229.7994269340991
            ],
            "upper": [
              225.5014326647581,
              229.7994269340991
            ],
            "policyLower": [
              225.5014326647581,
              229.7994269340991
            ],
            "optimalUpper": [
              225.5014326647581,
              229.7994269340991
            ],
            "certifiedStop": false,
            "shifted": [
              205.41319554387826,
              209.71118981321922
            ],
            "shiftDifference": [
              2.4776203879717684,
              2.47762038797174
            ],
            "shiftExpected": 2.4776203879718666,
            "shiftDefect": [
              -9.814371537686384e-14,
              -1.2656542480726785e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2008823712087633,
              0.2008823712087917
            ],
            "approximate": [
              211.94452700071736,
              216.2425212700583
            ],
            "approximateTV": [
              212.0800960573577,
              216.3780903266987
            ],
            "approximateDelta": [
              0.13556905664034957,
              0.13556905664040642
            ],
            "approximateResidual": 0.13556905664040642,
            "approximateError": 13.55690566403888,
            "approximateBound": 31.783181657458066,
            "pathDistance": 9.008951844810866,
            "pathBound": 9.008951844811246,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.23556905664040073
          },
          {
            "k": 231,
            "value": [
              203.161233730995,
              207.459228000336
            ],
            "q": [
              [
                202.12962139368506,
                203.38463572033262
              ],
              [
                207.68262998967361,
                203.12962139368506
              ]
            ],
            "tv": [
              203.38463572033262,
              207.68262998967361
            ],
            "delta": [
              0.22340198933761712,
              0.22340198933761712
            ],
            "residual": 0.22340198933761712,
            "minDelta": 0.22340198933761712,
            "maxDelta": 0.22340198933761712,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 22.3401989337612,
            "geometricBound": 22.546487514520347,
            "residualBound": 22.34019893376169,
            "lower": [
              225.5014326647567,
              229.79942693409768
            ],
            "upper": [
              225.5014326647567,
              229.79942693409768
            ],
            "policyLower": [
              225.5014326647567,
              229.79942693409768
            ],
            "optimalUpper": [
              225.5014326647567,
              229.79942693409768
            ],
            "certifiedStop": false,
            "shifted": [
              205.61407791508702,
              209.912072184428
            ],
            "shiftDifference": [
              2.452844184092015,
              2.452844184092015
            ],
            "shiftExpected": 2.4528441840921476,
            "shiftDefect": [
              -1.3233858453531866e-13,
              -1.3233858453531866e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.19887354749670294,
              0.19887354749667452
            ],
            "approximate": [
              212.1800960573577,
              216.4780903266987
            ],
            "approximateTV": [
              212.3133094234317,
              216.61130369277268
            ],
            "approximateDelta": [
              0.13321336607398848,
              0.13321336607398848
            ],
            "approximateResidual": 0.13321336607398848,
            "approximateError": 13.321336607398507,
            "approximateBound": 31.565349840883478,
            "pathDistance": 9.018862326362694,
            "pathBound": 9.018862326363132,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2332133660739828
          },
          {
            "k": 232,
            "value": [
              203.38463572033262,
              207.68262998967361
            ],
            "q": [
              [
                202.3507893631293,
                203.60580368977688
              ],
              [
                207.90379795911787,
                203.3507893631293
              ]
            ],
            "tv": [
              203.60580368977688,
              207.90379795911787
            ],
            "delta": [
              0.22116796944425232,
              0.22116796944425232
            ],
            "residual": 0.22116796944425232,
            "minDelta": 0.22116796944425232,
            "maxDelta": 0.22116796944425232,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 22.116796944423584,
            "geometricBound": 22.321022639375144,
            "residualBound": 22.11679694442521,
            "lower": [
              225.50143266475783,
              229.79942693409882
            ],
            "upper": [
              225.50143266475783,
              229.79942693409882
            ],
            "policyLower": [
              225.50143266475783,
              229.79942693409882
            ],
            "optimalUpper": [
              225.50143266475783,
              229.79942693409882
            ],
            "certifiedStop": false,
            "shifted": [
              205.81295146258373,
              210.1109457319247
            ],
            "shiftDifference": [
              2.428315742251101,
              2.4283157422510726
            ],
            "shiftExpected": 2.4283157422512263,
            "shiftDefect": [
              -1.2523315717771766e-13,
              -1.5365486660812167e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1968848120217217,
              0.1968848120217217
            ],
            "approximate": [
              212.41330942343168,
              216.71130369277267
            ],
            "approximateTV": [
              212.54419065584494,
              216.8421849251859
            ],
            "approximateDelta": [
              0.13088123241325889,
              0.13088123241323046
            ],
            "approximateResidual": 0.13088123241325889,
            "approximateError": 13.088123241324524,
            "approximateBound": 31.349696342474648,
            "pathDistance": 9.02867370309906,
            "pathBound": 9.028673703099503,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2308812324132532
          },
          {
            "k": 233,
            "value": [
              203.60580368977688,
              207.90379795911787
            ],
            "q": [
              [
                202.5697456528791,
                203.82475997952668
              ],
              [
                208.12275424886766,
                203.5697456528791
              ]
            ],
            "tv": [
              203.82475997952668,
              208.12275424886766
            ],
            "delta": [
              0.21895628974979786,
              0.21895628974979786
            ],
            "residual": 0.21895628974979786,
            "minDelta": 0.21895628974979786,
            "maxDelta": 0.21895628974979786,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 21.89562897497933,
            "geometricBound": 22.097812412981394,
            "residualBound": 21.89562897497977,
            "lower": [
              225.50143266475663,
              229.79942693409762
            ],
            "upper": [
              225.50143266475663,
              229.79942693409762
            ],
            "policyLower": [
              225.50143266475663,
              229.79942693409762
            ],
            "optimalUpper": [
              225.50143266475663,
              229.79942693409762
            ],
            "certifiedStop": false,
            "shifted": [
              206.00983627460545,
              210.3078305439464
            ],
            "shiftDifference": [
              2.4040325848285704,
              2.404032584828542
            ],
            "shiftExpected": 2.404032584828714,
            "shiftDefect": [
              -1.4344081478157023e-13,
              -1.7186252421197423e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1949159639015079,
              0.1949159639015079
            ],
            "approximate": [
              212.64419065584494,
              216.9421849251859
            ],
            "approximateTV": [
              212.77276307593405,
              217.07075734527498
            ],
            "approximateDelta": [
              0.12857242008911385,
              0.12857242008908543
            ],
            "approximateResidual": 0.12857242008911385,
            "approximateError": 12.857242008911271,
            "approximateBound": 31.1361993790499,
            "pathDistance": 9.03838696606806,
            "pathBound": 9.038386966068506,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.22857242008910816
          },
          {
            "k": 234,
            "value": [
              203.82475997952668,
              208.12275424886766
            ],
            "q": [
              [
                202.78651237973142,
                204.041526706379
              ],
              [
                208.33952097571995,
                203.78651237973142
              ]
            ],
            "tv": [
              204.041526706379,
              208.33952097571995
            ],
            "delta": [
              0.21676672685231324,
              0.21676672685228482
            ],
            "residual": 0.21676672685231324,
            "minDelta": 0.21676672685228482,
            "maxDelta": 0.21676672685231324,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 21.676672685229533,
            "geometricBound": 21.87683428885158,
            "residualBound": 21.676672685231306,
            "lower": [
              225.50143266475513,
              229.79942693409612
            ],
            "upper": [
              225.50143266475797,
              229.79942693409896
            ],
            "policyLower": [
              225.50143266475516,
              229.79942693409612
            ],
            "optimalUpper": [
              225.50143266475797,
              229.79942693409893
            ],
            "certifiedStop": false,
            "shifted": [
              206.20475223850696,
              210.50274650784792
            ],
            "shiftDifference": [
              2.3799922589802804,
              2.379992258980252
            ],
            "shiftExpected": 2.379992258980427,
            "shiftDefect": [
              -1.4654943925052066e-13,
              -1.7497114868092467e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.19296680426248258,
              0.192966804262511
            ],
            "approximate": [
              212.87276307593405,
              217.17075734527498
            ],
            "approximateTV": [
              212.99904977182223,
              217.29704404116322
            ],
            "approximateDelta": [
              0.12628669588818298,
              0.12628669588823982
            ],
            "approximateResidual": 0.12628669588823982,
            "approximateError": 12.628669588822191,
            "approximateBound": 30.9248373852594,
            "pathDistance": 9.04800309640737,
            "pathBound": 9.048003096407822,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.22628669588823414
          },
          {
            "k": 235,
            "value": [
              204.041526706379,
              208.33952097571995
            ],
            "q": [
              [
                203.0011114393152,
                204.25612576596274
              ],
              [
                208.55412003530373,
                204.0011114393152
              ]
            ],
            "tv": [
              204.25612576596274,
              208.55412003530373
            ],
            "delta": [
              0.21459905958374748,
              0.2145990595837759
            ],
            "residual": 0.2145990595837759,
            "minDelta": 0.21459905958374748,
            "maxDelta": 0.2145990595837759,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 21.45990595837722,
            "geometricBound": 21.658065945963063,
            "residualBound": 21.459905958377572,
            "lower": [
              225.5014326647537,
              229.79942693409467
            ],
            "upper": [
              225.50143266475655,
              229.7994269340975
            ],
            "policyLower": [
              225.5014326647537,
              229.7994269340947
            ],
            "optimalUpper": [
              225.50143266475652,
              229.7994269340975
            ],
            "certifiedStop": false,
            "shifted": [
              206.39771904276944,
              210.69571331211043
            ],
            "shiftDifference": [
              2.35619233639045,
              2.356192336390478
            ],
            "shiftExpected": 2.3561923363906225,
            "shiftDefect": [
              -1.7275070263167436e-13,
              -1.4432899320127035e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.19103713621987595,
              0.19103713621984753
            ],
            "approximate": [
              213.09904977182222,
              217.3970440411632
            ],
            "approximateTV": [
              213.22307360075158,
              217.52106787009257
            ],
            "approximateDelta": [
              0.12402382892935293,
              0.12402382892935293
            ],
            "approximateResidual": 0.12402382892935293,
            "approximateError": 12.402382892933986,
            "approximateBound": 30.715589011406806,
            "pathDistance": 9.057523065443263,
            "pathBound": 9.057523065443744,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.22402382892934725
          },
          {
            "k": 236,
            "value": [
              204.25612576596274,
              208.55412003530373
            ],
            "q": [
              [
                203.2135645083031,
                204.46857883495068
              ],
              [
                208.76657310429164,
                204.2135645083031
              ]
            ],
            "tv": [
              204.46857883495068,
              208.76657310429164
            ],
            "delta": [
              0.2124530689879407,
              0.21245306898791227
            ],
            "residual": 0.2124530689879407,
            "minDelta": 0.21245306898791227,
            "maxDelta": 0.2124530689879407,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 21.245306898793473,
            "geometricBound": 21.441485286503433,
            "residualBound": 21.245306898794052,
            "lower": [
              225.50143266475393,
              229.79942693409492
            ],
            "upper": [
              225.50143266475678,
              229.79942693409777
            ],
            "policyLower": [
              225.50143266475396,
              229.79942693409492
            ],
            "optimalUpper": [
              225.50143266475678,
              229.79942693409774
            ],
            "certifiedStop": false,
            "shifted": [
              206.5887561789893,
              210.88675044833028
            ],
            "shiftDifference": [
              2.3326304130265783,
              2.33263041302655
            ],
            "shiftExpected": 2.3326304130267164,
            "shiftDefect": [
              -1.3811174426336947e-13,
              -1.6653345369377348e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.18912676485766156,
              0.18912676485766156
            ],
            "approximate": [
              213.32307360075157,
              217.62106787009256
            ],
            "approximateTV": [
              213.44485719139163,
              217.7428514607326
            ],
            "approximateDelta": [
              0.12178359064006372,
              0.1217835906400353
            ],
            "approximateResidual": 0.12178359064006372,
            "approximateError": 12.178359064004638,
            "approximateBound": 30.50843312129274,
            "pathDistance": 9.066947834788834,
            "pathBound": 9.066947834789307,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.22178359064005804
          },
          {
            "k": 237,
            "value": [
              204.46857883495068,
              208.76657310429164
            ],
            "q": [
              [
                203.42389304660117,
                204.6789073732487
              ],
              [
                208.9769016425897,
                204.42389304660117
              ]
            ],
            "tv": [
              204.6789073732487,
              208.9769016425897
            ],
            "delta": [
              0.2103285382980289,
              0.2103285382980573
            ],
            "residual": 0.2103285382980573,
            "minDelta": 0.2103285382980289,
            "maxDelta": 0.2103285382980573,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 21.032853829805532,
            "geometricBound": 21.227070433638396,
            "residualBound": 21.032853829805713,
            "lower": [
              225.50143266475354,
              229.7994269340945
            ],
            "upper": [
              225.50143266475638,
              229.79942693409734
            ],
            "policyLower": [
              225.50143266475354,
              229.79942693409453
            ],
            "optimalUpper": [
              225.50143266475635,
              229.79942693409734
            ],
            "certifiedStop": false,
            "shifted": [
              206.77788294384698,
              211.07587721318794
            ],
            "shiftDifference": [
              2.309304108896299,
              2.309304108896299
            ],
            "shiftExpected": 2.309304108896449,
            "shiftDefect": [
              -1.5010215292932116e-13,
              -1.5010215292932116e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1872354972090875,
              0.1872354972090875
            ],
            "approximate": [
              213.54485719139163,
              217.8428514607326
            ],
            "approximateTV": [
              213.66442294612526,
              217.96241721546625
            ],
            "approximateDelta": [
              0.11956575473362818,
              0.1195657547336566
            ],
            "approximateResidual": 0.1195657547336566,
            "approximateError": 11.95657547336458,
            "approximateBound": 30.30334879007981,
            "pathDistance": 9.076278356440952,
            "pathBound": 9.076278356441412,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.21956575473365092
          },
          {
            "k": 238,
            "value": [
              204.6789073732487,
              208.9769016425897
            ],
            "q": [
              [
                203.6321182995162,
                204.8871326261638
              ],
              [
                209.18512689550474,
                204.6321182995162
              ]
            ],
            "tv": [
              204.8871326261638,
              209.18512689550474
            ],
            "delta": [
              0.2082252529150992,
              0.20822525291504235
            ],
            "residual": 0.2082252529150992,
            "minDelta": 0.20822525291504235,
            "maxDelta": 0.2082252529150992,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 20.822525291507503,
            "geometricBound": 21.014799729302013,
            "residualBound": 20.8225252915099,
            "lower": [
              225.5014326647529,
              229.7994269340939
            ],
            "upper": [
              225.5014326647586,
              229.79942693409959
            ],
            "policyLower": [
              225.50143266475297,
              229.7994269340939
            ],
            "optimalUpper": [
              225.5014326647586,
              229.79942693409953
            ],
            "certifiedStop": false,
            "shifted": [
              206.96511844105606,
              211.26311271039702
            ],
            "shiftDifference": [
              2.2862110678073577,
              2.2862110678073293
            ],
            "shiftExpected": 2.2862110678074843,
            "shiftDefect": [
              -1.2656542480726785e-13,
              -1.5498713423767185e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.18536314223698014,
              0.18536314223700856
            ],
            "approximate": [
              213.76442294612525,
              218.06241721546624
            ],
            "approximateTV": [
              213.88179304331157,
              218.17978731265254
            ],
            "approximateDelta": [
              0.11737009718632407,
              0.11737009718629565
            ],
            "approximateResidual": 0.11737009718632407,
            "approximateError": 11.737009718630958,
            "approximateBound": 30.100315302179013,
            "pathDistance": 9.085515572876545,
            "pathBound": 9.085515572876998,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2173700971863184
          },
          {
            "k": 239,
            "value": [
              204.8871326261638,
              209.18512689550474
            ],
            "q": [
              [
                203.83826129990217,
                205.09327562654968
              ],
              [
                209.3912698958907,
                204.83826129990217
              ]
            ],
            "tv": [
              205.09327562654968,
              209.3912698958907
            ],
            "delta": [
              0.20614300038587885,
              0.20614300038596411
            ],
            "residual": 0.20614300038596411,
            "minDelta": 0.20614300038587885,
            "maxDelta": 0.20614300038596411,
            "spanDelta": 8.526512829121202e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 8.441247700829982e-12,
            "error": 20.614300038592432,
            "geometricBound": 20.804651732008995,
            "residualBound": 20.614300038596394,
            "lower": [
              225.50143266475166,
              229.7994269340926
            ],
            "upper": [
              225.5014326647602,
              229.79942693410112
            ],
            "policyLower": [
              225.50143266475166,
              229.79942693409268
            ],
            "optimalUpper": [
              225.5014326647601,
              229.79942693410112
            ],
            "certifiedStop": false,
            "shifted": [
              207.15048158329304,
              211.44847585263403
            ],
            "shiftDifference": [
              2.2633489571292387,
              2.2633489571292955
            ],
            "shiftExpected": 2.2633489571294096,
            "shiftDefect": [
              -1.709743457922741e-13,
              -1.141309269314661e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.18350951081464473,
              0.18350951081464473
            ],
            "approximate": [
              213.98179304331157,
              218.27978731265253
            ],
            "approximateTV": [
              214.096989439526,
              218.394983708867
            ],
            "approximateDelta": [
              0.11519639621442934,
              0.11519639621445776
            ],
            "approximateResidual": 0.11519639621445776,
            "approximateError": 11.51963962144464,
            "approximateBound": 29.899312149157225,
            "pathDistance": 9.094660417147793,
            "pathBound": 9.094660417148228,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.21519639621445208
          },
          {
            "k": 240,
            "value": [
              205.09327562654968,
              209.3912698958907
            ],
            "q": [
              [
                204.0423428702842,
                205.29735719693178
              ],
              [
                209.59535146627275,
                205.0423428702842
              ]
            ],
            "tv": [
              205.29735719693178,
              209.59535146627275
            ],
            "delta": [
              0.20408157038210106,
              0.20408157038204422
            ],
            "residual": 0.20408157038210106,
            "minDelta": 0.20408157038204422,
            "maxDelta": 0.20408157038210106,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 20.408157038206525,
            "geometricBound": 20.596605214688903,
            "residualBound": 20.40815703821009,
            "lower": [
              225.50143266475408,
              229.7994269340951
            ],
            "upper": [
              225.50143266475976,
              229.79942693410078
            ],
            "policyLower": [
              225.50143266475413,
              229.7994269340951
            ],
            "optimalUpper": [
              225.50143266475976,
              229.79942693410072
            ],
            "certifiedStop": false,
            "shifted": [
              207.3339910941077,
              211.63198536344868
            ],
            "shiftDifference": [
              2.2407154675580045,
              2.240715467557976
            ],
            "shiftExpected": 2.2407154675581156,
            "shiftDefect": [
              -1.1102230246251565e-13,
              -1.3944401189291966e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.18167441570651022,
              0.1816744157064818
            ],
            "approximate": [
              214.196989439526,
              218.49498370886698
            ],
            "approximateTV": [
              214.3100338717783,
              218.6080281411193
            ],
            "approximateDelta": [
              0.11304443225230898,
              0.11304443225230898
            ],
            "approximateResidual": 0.11304443225230898,
            "approximateError": 11.304443225230216,
            "approximateBound": 29.70031902766565,
            "pathDistance": 9.10371381297631,
            "pathBound": 9.103713812976746,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2130444322523033
          },
          {
            "k": 241,
            "value": [
              205.29735719693178,
              209.59535146627275
            ],
            "q": [
              [
                204.24438362496247,
                205.49939795161
              ],
              [
                209.797392220951,
                205.24438362496247
              ]
            ],
            "tv": [
              205.49939795161,
              209.797392220951
            ],
            "delta": [
              0.20204075467822236,
              0.20204075467825078
            ],
            "residual": 0.20204075467825078,
            "minDelta": 0.20204075467822236,
            "maxDelta": 0.20204075467825078,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 20.204075467824424,
            "geometricBound": 20.390639162542016,
            "residualBound": 20.20407546782506,
            "lower": [
              225.501432664754,
              229.79942693409495
            ],
            "upper": [
              225.50143266475683,
              229.7994269340978
            ],
            "policyLower": [
              225.501432664754,
              229.79942693409498
            ],
            "optimalUpper": [
              225.5014326647568,
              229.7994269340978
            ],
            "certifiedStop": false,
            "shifted": [
              207.5156655098142,
              211.81365977915516
            ],
            "shiftDifference": [
              2.2183083128824137,
              2.2183083128824137
            ],
            "shiftExpected": 2.2183083128825345,
            "shiftDefect": [
              -1.2079226507921703e-13,
              -1.2079226507921703e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.17985767154939936,
              0.17985767154942778
            ],
            "approximate": [
              214.4100338717783,
              218.70802814111929
            ],
            "approximateTV": [
              214.5209478597081,
              218.81894212904905
            ],
            "approximateDelta": [
              0.11091398792979135,
              0.11091398792976292
            ],
            "approximateResidual": 0.11091398792979135,
            "approximateError": 11.091398792977913,
            "approximateBound": 29.503315837388996,
            "pathDistance": 9.11267667484654,
            "pathBound": 9.112676674846979,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.21091398792978566
          },
          {
            "k": 242,
            "value": [
              205.49939795161,
              209.797392220951
            ],
            "q": [
              [
                204.4444039720939,
                205.69941829874148
              ],
              [
                209.99741256808247,
                205.4444039720939
              ]
            ],
            "tv": [
              205.69941829874148,
              209.99741256808247
            ],
            "delta": [
              0.20002034713147054,
              0.20002034713147054
            ],
            "residual": 0.20002034713147054,
            "minDelta": 0.20002034713147054,
            "maxDelta": 0.20002034713147054,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 20.0020347131462,
            "geometricBound": 20.186732770916592,
            "residualBound": 20.002034713147037,
            "lower": [
              225.50143266475703,
              229.79942693409802
            ],
            "upper": [
              225.50143266475703,
              229.79942693409802
            ],
            "policyLower": [
              225.50143266475703,
              229.79942693409802
            ],
            "optimalUpper": [
              225.50143266475703,
              229.79942693409802
            ],
            "certifiedStop": false,
            "shifted": [
              207.6955231813636,
              211.9935174507046
            ],
            "shiftDifference": [
              2.1961252297535907,
              2.1961252297535907
            ],
            "shiftExpected": 2.196125229753709,
            "shiftDefect": [
              -1.1812772982011666e-13,
              -1.1812772982011666e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1780590948339409,
              0.1780590948339409
            ],
            "approximate": [
              214.62094785970808,
              218.91894212904904
            ],
            "approximateTV": [
              214.72975270775856,
              219.0277469770995
            ],
            "approximateDelta": [
              0.1088048480504824,
              0.10880484805045398
            ],
            "approximateResidual": 0.1088048480504824,
            "approximateError": 10.880484805048127,
            "approximateBound": 29.3082826790151,
            "pathDistance": 9.121549908098075,
            "pathBound": 9.121549908098508,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.20880484805047672
          },
          {
            "k": 243,
            "value": [
              205.69941829874148,
              209.99741256808247
            ],
            "q": [
              [
                204.64242411575407,
                205.89743844240164
              ],
              [
                210.1954327117426,
                205.64242411575407
              ]
            ],
            "tv": [
              205.89743844240164,
              210.1954327117426
            ],
            "delta": [
              0.19802014366015896,
              0.19802014366013054
            ],
            "residual": 0.19802014366015896,
            "minDelta": 0.19802014366013054,
            "maxDelta": 0.19802014366015896,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 19.80201436601473,
            "geometricBound": 19.98486544320743,
            "residualBound": 19.80201436601588,
            "lower": [
              225.5014326647545,
              229.7994269340955
            ],
            "upper": [
              225.50143266475735,
              229.79942693409834
            ],
            "policyLower": [
              225.50143266475453,
              229.7994269340955
            ],
            "optimalUpper": [
              225.50143266475735,
              229.7994269340983
            ],
            "certifiedStop": false,
            "shifted": [
              207.87358227619754,
              212.17157654553853
            ],
            "shiftDifference": [
              2.174163977456061,
              2.174163977456061
            ],
            "shiftExpected": 2.174163977456172,
            "shiftDefect": [
              -1.1102230246251565e-13,
              -1.1102230246251565e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.17627850388561228,
              0.17627850388558386
            ],
            "approximate": [
              214.82975270775856,
              219.1277469770995
            ],
            "approximateTV": [
              214.9364695073285,
              219.2344637766695
            ],
            "approximateDelta": [
              0.10671679956993785,
              0.10671679956999469
            ],
            "approximateResidual": 0.10671679956999469,
            "approximateError": 10.671679956997679,
            "approximateBound": 29.115199852224954,
            "pathDistance": 9.130334409017081,
            "pathBound": 9.130334409017523,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.206716799569989
          },
          {
            "k": 244,
            "value": [
              205.89743844240164,
              210.1954327117426
            ],
            "q": [
              [
                204.83846405797763,
                206.09347838462517
              ],
              [
                210.39147265396616,
                205.83846405797763
              ]
            ],
            "tv": [
              206.09347838462517,
              210.39147265396616
            ],
            "delta": [
              0.1960399422235355,
              0.1960399422235639
            ],
            "residual": 0.1960399422235639,
            "minDelta": 0.1960399422235355,
            "maxDelta": 0.1960399422235639,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 19.603994222354572,
            "geometricBound": 19.78501678877535,
            "residualBound": 19.603994222356373,
            "lower": [
              225.50143266475516,
              229.79942693409612
            ],
            "upper": [
              225.501432664758,
              229.79942693409896
            ],
            "policyLower": [
              225.50143266475516,
              229.79942693409615
            ],
            "optimalUpper": [
              225.50143266475797,
              229.79942693409896
            ],
            "certifiedStop": false,
            "shifted": [
              208.04986078008315,
              212.3478550494241
            ],
            "shiftDifference": [
              2.1524223376815144,
              2.1524223376815144
            ],
            "shiftExpected": 2.1524223376816103,
            "shiftDefect": [
              -9.592326932761353e-14,
              -9.592326932761353e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.17451571884672035,
              0.17451571884674877
            ],
            "approximate": [
              215.0364695073285,
              219.33446377666948
            ],
            "approximateTV": [
              215.14111913890278,
              219.43911340824377
            ],
            "approximateDelta": [
              0.10464963157428997,
              0.10464963157428997
            ],
            "approximateResidual": 0.10464963157428997,
            "approximateError": 10.464963157427718,
            "approximateBound": 28.924047853702703,
            "pathDistance": 9.139031064926883,
            "pathBound": 9.13903106492735,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.20464963157428429
          },
          {
            "k": 245,
            "value": [
              206.09347838462517,
              210.39147265396616
            ],
            "q": [
              [
                205.03254360077892,
                206.2875579274265
              ],
              [
                210.58555219676748,
                206.03254360077892
              ]
            ],
            "tv": [
              206.2875579274265,
              210.58555219676748
            ],
            "delta": [
              0.1940795428013189,
              0.1940795428013189
            ],
            "residual": 0.1940795428013189,
            "minDelta": 0.1940795428013189,
            "maxDelta": 0.1940795428013189,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 19.407954280131037,
            "geometricBound": 19.587166620887597,
            "residualBound": 19.40795428013187,
            "lower": [
              225.50143266475703,
              229.79942693409802
            ],
            "upper": [
              225.50143266475703,
              229.79942693409802
            ],
            "policyLower": [
              225.50143266475703,
              229.79942693409802
            ],
            "optimalUpper": [
              225.50143266475703,
              229.79942693409802
            ],
            "certifiedStop": false,
            "shifted": [
              208.22437649892987,
              212.52237076827086
            ],
            "shiftDifference": [
              2.130898114304699,
              2.130898114304699
            ],
            "shiftExpected": 2.130898114304794,
            "shiftDefect": [
              -9.459100169806334e-14,
              -9.459100169806334e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1727705616582682,
              0.1727705616582682
            ],
            "approximate": [
              215.24111913890277,
              219.53911340824376
            ],
            "approximateTV": [
              215.34372227416134,
              219.6417165435023
            ],
            "approximateDelta": [
              0.1026031352585619,
              0.10260313525853348
            ],
            "approximateResidual": 0.1026031352585619,
            "approximateError": 10.260313525853434,
            "approximateBound": 28.734807375165673,
            "pathDistance": 9.147640754277603,
            "pathBound": 9.147640754278076,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.20260313525855622
          },
          {
            "k": 246,
            "value": [
              206.2875579274265,
              210.58555219676748
            ],
            "q": [
              [
                205.22468234815221,
                206.4796966747998
              ],
              [
                210.77769094414077,
                206.22468234815221
              ]
            ],
            "tv": [
              206.4796966747998,
              210.77769094414077
            ],
            "delta": [
              0.19213874737332048,
              0.19213874737329206
            ],
            "residual": 0.19213874737332048,
            "minDelta": 0.19213874737329206,
            "maxDelta": 0.19213874737332048,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 19.213874737329718,
            "geometricBound": 19.391294954678724,
            "residualBound": 19.21387473733203,
            "lower": [
              225.50143266475567,
              229.79942693409666
            ],
            "upper": [
              225.5014326647585,
              229.7994269340995
            ],
            "policyLower": [
              225.50143266475573,
              229.7994269340967
            ],
            "optimalUpper": [
              225.5014326647585,
              229.79942693409947
            ],
            "certifiedStop": false,
            "shifted": [
              208.39714706058814,
              212.69514132992913
            ],
            "shiftDifference": [
              2.1095891331616485,
              2.1095891331616485
            ],
            "shiftExpected": 2.1095891331617462,
            "shiftDefect": [
              -9.769962616701378e-14,
              -9.769962616701378e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.17104285604170855,
              0.17104285604168012
            ],
            "approximate": [
              215.44372227416133,
              219.7417165435023
            ],
            "approximateTV": [
              215.54429937806728,
              219.84229364740824
            ],
            "approximateDelta": [
              0.1005771039059482,
              0.1005771039059482
            ],
            "approximateResidual": 0.1005771039059482,
            "approximateError": 10.057710390594877,
            "approximateBound": 28.547459301414015,
            "pathDistance": 9.15616434673484,
            "pathBound": 9.156164346735293,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.20057710390594252
          },
          {
            "k": 247,
            "value": [
              206.4796966747998,
              210.77769094414077
            ],
            "q": [
              [
                205.41489970805182,
                206.66991403469936
              ],
              [
                210.96790830404035,
                206.41489970805182
              ]
            ],
            "tv": [
              206.66991403469936,
              210.96790830404035
            ],
            "delta": [
              0.1902173598995489,
              0.19021735989957733
            ],
            "residual": 0.19021735989957733,
            "minDelta": 0.1902173598995489,
            "maxDelta": 0.19021735989957733,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 19.021735989956397,
            "geometricBound": 19.197382005131935,
            "residualBound": 19.021735989957715,
            "lower": [
              225.50143266475467,
              229.79942693409564
            ],
            "upper": [
              225.50143266475752,
              229.79942693409848
            ],
            "policyLower": [
              225.50143266475467,
              229.79942693409566
            ],
            "optimalUpper": [
              225.5014326647575,
              229.79942693409848
            ],
            "certifiedStop": false,
            "shifted": [
              208.56818991662985,
              212.8661841859708
            ],
            "shiftDifference": [
              2.0884932418300366,
              2.0884932418300366
            ],
            "shiftExpected": 2.088493241830129,
            "shiftDefect": [
              -9.237055564881302e-14,
              -9.237055564881302e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1693324274812653,
              0.1693324274812653
            ],
            "approximate": [
              215.64429937806727,
              219.94229364740823
            ],
            "approximateTV": [
              215.74287071093414,
              220.04086498027513
            ],
            "approximateDelta": [
              0.09857133286686803,
              0.09857133286689646
            ],
            "approximateResidual": 0.09857133286689646,
            "approximateError": 9.857133286688935,
            "approximateBound": 28.361984708399877,
            "pathDistance": 9.164602703267462,
            "pathBound": 9.164602703267942,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.19857133286689077
          },
          {
            "k": 248,
            "value": [
              206.66991403469936,
              210.96790830404035
            ],
            "q": [
              [
                205.60321489435236,
                206.85822922099993
              ],
              [
                211.15622349034092,
                206.60321489435236
              ]
            ],
            "tv": [
              206.85822922099993,
              211.15622349034092
            ],
            "delta": [
              0.18831518630057076,
              0.18831518630057076
            ],
            "residual": 0.18831518630057076,
            "minDelta": 0.18831518630057076,
            "maxDelta": 0.18831518630057076,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 18.83151863005685,
            "geometricBound": 19.005408185080615,
            "residualBound": 18.831518630057058,
            "lower": [
              225.5014326647564,
              229.7994269340974
            ],
            "upper": [
              225.5014326647564,
              229.7994269340974
            ],
            "policyLower": [
              225.5014326647564,
              229.7994269340974
            ],
            "optimalUpper": [
              225.5014326647564,
              229.7994269340974
            ],
            "certifiedStop": false,
            "shifted": [
              208.7375223441111,
              213.03551661345207
            ],
            "shiftDifference": [
              2.067608309411753,
              2.0676083094117246
            ],
            "shiftExpected": 2.067608309411827,
            "shiftDefect": [
              -7.416289804496046e-14,
              -1.0258460747536446e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.16763910320642594,
              0.16763910320645437
            ],
            "approximate": [
              215.84287071093414,
              220.14086498027513
            ],
            "approximateTV": [
              215.93945633047238,
              220.23745059981331
            ],
            "approximateDelta": [
              0.09658561953824574,
              0.0965856195381889
            ],
            "approximateResidual": 0.09658561953824574,
            "approximateError": 9.658561953822073,
            "approximateBound": 28.178364861315877,
            "pathDistance": 9.172956676234776,
            "pathBound": 9.17295667623526,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.19658561953824005
          },
          {
            "k": 249,
            "value": [
              206.85822922099993,
              211.15622349034092
            ],
            "q": [
              [
                205.78964692878992,
                207.04466125543752
              ],
              [
                211.34265552477845,
                206.78964692878992
              ]
            ],
            "tv": [
              207.04466125543752,
              211.34265552477845
            ],
            "delta": [
              0.18643203443758694,
              0.1864320344375301
            ],
            "residual": 0.18643203443758694,
            "minDelta": 0.1864320344375301,
            "maxDelta": 0.18643203443758694,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 18.643203443756278,
            "geometricBound": 18.815354103229808,
            "residualBound": 18.643203443758676,
            "lower": [
              225.5014326647529,
              229.7994269340939
            ],
            "upper": [
              225.5014326647586,
              229.79942693409959
            ],
            "policyLower": [
              225.50143266475297,
              229.7994269340939
            ],
            "optimalUpper": [
              225.50143266475862,
              229.79942693409953
            ],
            "certifiedStop": false,
            "shifted": [
              208.90516144731754,
              213.20315571665853
            ],
            "shiftDifference": [
              2.046932226317608,
              2.046932226317608
            ],
            "shiftExpected": 2.046932226317709,
            "shiftDefect": [
              -1.0080825063596421e-13,
              -1.0080825063596421e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.16596271217440517,
              0.16596271217437675
            ],
            "approximate": [
              216.03945633047238,
              220.3374505998133
            ],
            "approximateTV": [
              216.13407609381517,
              220.43207036315616
            ],
            "approximateDelta": [
              0.09461976334279143,
              0.09461976334284827
            ],
            "approximateResidual": 0.09461976334284827,
            "approximateError": 9.461976334283861,
            "approximateBound": 27.996581212702715,
            "pathDistance": 9.181227109472445,
            "pathBound": 9.181227109472909,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1946197633428426
          },
          {
            "k": 250,
            "value": [
              207.04466125543752,
              211.34265552477845
            ],
            "q": [
              [
                205.97421464288314,
                207.22922896953065
              ],
              [
                211.52722323887167,
                206.97421464288314
              ]
            ],
            "tv": [
              207.22922896953065,
              211.52722323887167
            ],
            "delta": [
              0.18456771409313433,
              0.1845677140932196
            ],
            "residual": 0.1845677140932196,
            "minDelta": 0.18456771409313433,
            "maxDelta": 0.1845677140932196,
            "spanDelta": 8.526512829121202e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 8.441247700829982e-12,
            "error": 18.45677140931872,
            "geometricBound": 18.627200562197512,
            "residualBound": 18.45677140932194,
            "lower": [
              225.50143266475092,
              229.79942693409185
            ],
            "upper": [
              225.50143266475945,
              229.79942693410038
            ],
            "policyLower": [
              225.50143266475095,
              229.79942693409197
            ],
            "optimalUpper": [
              225.50143266475936,
              229.79942693410038
            ],
            "certifiedStop": false,
            "shifted": [
              209.07112415949194,
              213.3691184288329
            ],
            "shiftDifference": [
              2.0264629040544264,
              2.026462904054455
            ],
            "shiftExpected": 2.026462904054532,
            "shiftDefect": [
              -1.056932319443149e-13,
              -7.72715225139109e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.16430308505263724,
              0.16430308505263724
            ],
            "approximate": [
              216.23407609381516,
              220.53207036315615
            ],
            "approximateTV": [
              216.32674965952458,
              220.62474392886554
            ],
            "approximateDelta": [
              0.09267356570941843,
              0.09267356570939
            ],
            "approximateResidual": 0.09267356570941843,
            "approximateError": 9.267356570941047,
            "approximateBound": 27.816615400575692,
            "pathDistance": 9.1894148383777,
            "pathBound": 9.189414838378179,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.19267356570941274
          },
          {
            "k": 251,
            "value": [
              207.22922896953065,
              211.52722323887167
            ],
            "q": [
              [
                206.15693667983535,
                207.41195100648295
              ],
              [
                211.7099452758239,
                207.15693667983535
              ]
            ],
            "tv": [
              207.41195100648295,
              211.7099452758239
            ],
            "delta": [
              0.18272203695229905,
              0.1827220369522422
            ],
            "residual": 0.18272203695229905,
            "minDelta": 0.1827220369522422,
            "maxDelta": 0.18272203695229905,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 18.272203695225556,
            "geometricBound": 18.440928556575535,
            "residualBound": 18.272203695229887,
            "lower": [
              225.50143266475484,
              229.79942693409586
            ],
            "upper": [
              225.50143266476053,
              229.79942693410155
            ],
            "policyLower": [
              225.5014326647549,
              229.79942693409586
            ],
            "optimalUpper": [
              225.50143266476056,
              229.79942693410152
            ],
            "certifiedStop": false,
            "shifted": [
              209.23542724454458,
              213.53342151388554
            ],
            "shiftDifference": [
              2.0061982750139293,
              2.0061982750138725
            ],
            "shiftExpected": 2.0061982750139866,
            "shiftDefect": [
              -5.728750807065808e-14,
              -1.141309269314661e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1626600542020924,
              0.16266005420214924
            ],
            "approximate": [
              216.42674965952457,
              220.72474392886554
            ],
            "approximateTV": [
              216.51749648957687,
              220.81549075891786
            ],
            "approximateDelta": [
              0.09074683005229645,
              0.09074683005232487
            ],
            "approximateResidual": 0.09074683005232487,
            "approximateError": 9.074683005231634,
            "approximateBound": 27.638449246569934,
            "pathDistance": 9.197520689993922,
            "pathBound": 9.197520689994397,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.19074683005231918
          },
          {
            "k": 252,
            "value": [
              207.41195100648295,
              211.7099452758239
            ],
            "q": [
              [
                206.33783149641812,
                207.59284582306566
              ],
              [
                211.89084009240665,
                207.33783149641812
              ]
            ],
            "tv": [
              207.59284582306566,
              211.89084009240665
            ],
            "delta": [
              0.18089481658270756,
              0.18089481658273598
            ],
            "residual": 0.18089481658273598,
            "minDelta": 0.18089481658270756,
            "maxDelta": 0.18089481658273598,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 18.089481658273257,
            "geometricBound": 18.25651927100978,
            "residualBound": 18.08948165827358,
            "lower": [
              225.50143266475368,
              229.79942693409464
            ],
            "upper": [
              225.50143266475652,
              229.79942693409748
            ],
            "policyLower": [
              225.50143266475368,
              229.79942693409467
            ],
            "optimalUpper": [
              225.50143266475652,
              229.79942693409748
            ],
            "certifiedStop": false,
            "shifted": [
              209.39808729874667,
              213.6960815680877
            ],
            "shiftDifference": [
              1.9861362922637227,
              1.9861362922637795
            ],
            "shiftExpected": 1.9861362922638466,
            "shiftDefect": [
              -1.2390088954816747e-13,
              -6.705747068735946e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.16103345366013855,
              0.1610334536600817
            ],
            "approximate": [
              216.61749648957687,
              220.91549075891785
            ],
            "approximateTV": [
              216.70633585132867,
              221.00433012066966
            ],
            "approximateDelta": [
              0.08883936175180907,
              0.08883936175180907
            ],
            "approximateResidual": 0.08883936175180907,
            "approximateError": 8.883936175179343,
            "approximateBound": 27.462064754104233,
            "pathDistance": 9.205545483093942,
            "pathBound": 9.205545483094454,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.18883936175180338
          },
          {
            "k": 253,
            "value": [
              207.59284582306566,
              211.89084009240665
            ],
            "q": [
              [
                206.516917364835,
                207.7719316914826
              ],
              [
                212.06992596082353,
                207.516917364835
              ]
            ],
            "tv": [
              207.7719316914826,
              212.06992596082353
            ],
            "delta": [
              0.17908586841693364,
              0.1790858684168768
            ],
            "residual": 0.17908586841693364,
            "minDelta": 0.1790858684168768,
            "maxDelta": 0.17908586841693364,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 17.90858684169055,
            "geometricBound": 18.073954078299682,
            "residualBound": 17.90858684169335,
            "lower": [
              225.50143266475334,
              229.7994269340943
            ],
            "upper": [
              225.50143266475902,
              229.79942693409998
            ],
            "policyLower": [
              225.5014326647534,
              229.7994269340943
            ],
            "optimalUpper": [
              225.50143266475902,
              229.79942693409993
            ],
            "certifiedStop": false,
            "shifted": [
              209.5591207524068,
              213.85711502174777
            ],
            "shiftDifference": [
              1.9662749293411537,
              1.9662749293411252
            ],
            "shiftExpected": 1.9662749293412083,
            "shiftDefect": [
              -5.46229728115577e-14,
              -8.304468224196171e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.15942311912348828,
              0.15942311912348828
            ],
            "approximate": [
              216.80633585132867,
              221.10433012066966
            ],
            "approximateTV": [
              216.89328681946296,
              221.19128108880392
            ],
            "approximateDelta": [
              0.08695096813428904,
              0.08695096813426062
            ],
            "approximateResidual": 0.08695096813428904,
            "approximateError": 8.69509681342754,
            "approximateBound": 27.287444106563193,
            "pathDistance": 9.21349002826301,
            "pathBound": 9.213490028263509,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.18695096813428336
          },
          {
            "k": 254,
            "value": [
              207.7719316914826,
              212.06992596082353
            ],
            "q": [
              [
                206.69421237456777,
                207.94922670121528
              ],
              [
                212.24722097055627,
                207.69421237456777
              ]
            ],
            "tv": [
              207.94922670121528,
              212.24722097055627
            ],
            "delta": [
              0.1772950097326884,
              0.17729500973274526
            ],
            "residual": 0.17729500973274526,
            "minDelta": 0.1772950097326884,
            "maxDelta": 0.17729500973274526,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 17.729500973273645,
            "geometricBound": 17.893214537516684,
            "residualBound": 17.72950097327451,
            "lower": [
              225.5014326647514,
              229.79942693409237
            ],
            "upper": [
              225.5014326647571,
              229.79942693409805
            ],
            "policyLower": [
              225.5014326647514,
              229.7994269340924
            ],
            "optimalUpper": [
              225.50143266475703,
              229.79942693409805
            ],
            "certifiedStop": false,
            "shifted": [
              209.7185438715303,
              214.01653814087126
            ],
            "shiftDifference": [
              1.9466121800477083,
              1.9466121800477367
            ],
            "shiftExpected": 1.946612180047796,
            "shiftDefect": [
              -8.770761894538737e-14,
              -5.928590951498336e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.15782888793225425,
              0.15782888793225425
            ],
            "approximate": [
              216.99328681946295,
              221.2912810888039
            ],
            "approximateTV": [
              217.07836827791587,
              221.37636254725686
            ],
            "approximateDelta": [
              0.08508145845291892,
              0.08508145845294734
            ],
            "approximateResidual": 0.08508145845294734,
            "approximateError": 8.508145845293257,
            "approximateBound": 27.114569665497555,
            "pathDistance": 9.221355127980388,
            "pathBound": 9.221355127980873,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.18508145845294166
          },
          {
            "k": 255,
            "value": [
              207.94922670121528,
              212.24722097055627
            ],
            "q": [
              [
                206.86973443420314,
                208.1247487608507
              ],
              [
                212.4227430301917,
                207.86973443420314
              ]
            ],
            "tv": [
              208.1247487608507,
              212.4227430301917
            ],
            "delta": [
              0.17552205963542633,
              0.17552205963542633
            ],
            "residual": 0.17552205963542633,
            "minDelta": 0.17552205963542633,
            "maxDelta": 0.17552205963542633,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 17.552205963540928,
            "geometricBound": 17.714282392141516,
            "residualBound": 17.55220596354262,
            "lower": [
              225.50143266475789,
              229.7994269340989
            ],
            "upper": [
              225.50143266475789,
              229.7994269340989
            ],
            "policyLower": [
              225.50143266475789,
              229.79942693409888
            ],
            "optimalUpper": [
              225.50143266475789,
              229.79942693409888
            ],
            "certifiedStop": false,
            "shifted": [
              209.87637275946255,
              214.17436702880352
            ],
            "shiftDifference": [
              1.9271460582472741,
              1.9271460582472457
            ],
            "shiftExpected": 1.927146058247318,
            "shiftDefect": [
              -4.39648317751562e-14,
              -7.238654120556021e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1562505990529246,
              0.15625059905295302
            ],
            "approximate": [
              217.17836827791587,
              221.47636254725685
            ],
            "approximateTV": [
              217.2615989217843,
              221.55959319112523
            ],
            "approximateDelta": [
              0.08323064386843271,
              0.08323064386837586
            ],
            "approximateResidual": 0.08323064386843271,
            "approximateError": 8.323064386840343,
            "approximateBound": 26.94342396884258,
            "pathDistance": 9.229141576700584,
            "pathBound": 9.229141576701066,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.18323064386842702
          },
          {
            "k": 256,
            "value": [
              208.1247487608507,
              212.4227430301917
            ],
            "q": [
              [
                207.04350127324219,
                208.29851559988978
              ],
              [
                212.59650986923072,
                208.04350127324219
              ]
            ],
            "tv": [
              208.29851559988978,
              212.59650986923072
            ],
            "delta": [
              0.1737668390390752,
              0.17376683903901835
            ],
            "residual": 0.1737668390390752,
            "minDelta": 0.17376683903901835,
            "maxDelta": 0.1737668390390752,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 17.3766839039055,
            "geometricBound": 17.537139568220105,
            "residualBound": 17.376683903907505,
            "lower": [
              225.50143266475254,
              229.7994269340935
            ],
            "upper": [
              225.50143266475823,
              229.7994269340992
            ],
            "policyLower": [
              225.5014326647526,
              229.7994269340935
            ],
            "optimalUpper": [
              225.50143266475823,
              229.79942693409913
            ],
            "certifiedStop": false,
            "shifted": [
              210.03262335851548,
              214.33061762785647
            ],
            "shiftDifference": [
              1.9078745976647724,
              1.9078745976647724
            ],
            "shiftExpected": 1.907874597664845,
            "shiftDefect": [
              -7.260858581048524e-14,
              -7.260858581048524e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.15468809306241837,
              0.15468809306238995
            ],
            "approximate": [
              217.3615989217843,
              221.65959319112523
            ],
            "approximateTV": [
              217.44299725921397,
              221.74099152855496
            ],
            "approximateDelta": [
              0.0813983374296754,
              0.08139833742973224
            ],
            "approximateResidual": 0.08139833742973224,
            "approximateError": 8.139833742971945,
            "approximateBound": 26.77398972915416,
            "pathDistance": 9.236850160933585,
            "pathBound": 9.236850160934054,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.18139833742972655
          },
          {
            "k": 257,
            "value": [
              208.29851559988978,
              212.59650986923072
            ],
            "q": [
              [
                207.21553044389088,
                208.4705447705384
              ],
              [
                212.76853903987939,
                208.21553044389088
              ]
            ],
            "tv": [
              208.4705447705384,
              212.76853903987939
            ],
            "delta": [
              0.17202917064861367,
              0.17202917064867052
            ],
            "residual": 0.17202917064867052,
            "minDelta": 0.17202917064861367,
            "maxDelta": 0.17202917064867052,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 17.202917064866455,
            "geometricBound": 17.3617681725379,
            "residualBound": 17.202917064867037,
            "lower": [
              225.50143266475112,
              229.79942693409208
            ],
            "upper": [
              225.5014326647568,
              229.79942693409777
            ],
            "policyLower": [
              225.50143266475112,
              229.79942693409214
            ],
            "optimalUpper": [
              225.50143266475675,
              229.79942693409774
            ],
            "certifiedStop": false,
            "shifted": [
              210.1873114515779,
              214.48530572091886
            ],
            "shiftDifference": [
              1.8887958516881156,
              1.888795851688144
            ],
            "shiftExpected": 1.8887958516881964,
            "shiftDefect": [
              -8.08242361927114e-14,
              -5.240252676230739e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.15314121213177145,
              0.15314121213179988
            ],
            "approximate": [
              217.54299725921396,
              221.84099152855495
            ],
            "approximateTV": [
              217.6225816132694,
              221.9205758826104
            ],
            "approximateDelta": [
              0.07958435405544151,
              0.07958435405544151
            ],
            "approximateResidual": 0.07958435405544151,
            "approximateError": 7.958435405542247,
            "approximateBound": 26.606249831862613,
            "pathDistance": 9.244481659324236,
            "pathBound": 9.244481659324713,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.17958435405543582
          },
          {
            "k": 258,
            "value": [
              208.4705447705384,
              212.76853903987939
            ],
            "q": [
              [
                207.38583932283302,
                208.6408536494806
              ],
              [
                212.93884791882158,
                208.38583932283302
              ]
            ],
            "tv": [
              208.6408536494806,
              212.93884791882158
            ],
            "delta": [
              0.17030887894219404,
              0.17030887894219404
            ],
            "residual": 0.17030887894219404,
            "minDelta": 0.17030887894219404,
            "maxDelta": 0.17030887894219404,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 17.030887894217813,
            "geometricBound": 17.18815049081252,
            "residualBound": 17.03088789421939,
            "lower": [
              225.50143266475777,
              229.7994269340988
            ],
            "upper": [
              225.50143266475777,
              229.7994269340988
            ],
            "policyLower": [
              225.50143266475777,
              229.7994269340988
            ],
            "optimalUpper": [
              225.50143266475777,
              229.7994269340988
            ],
            "certifiedStop": false,
            "shifted": [
              210.34045266370967,
              214.63844693305066
            ],
            "shiftDifference": [
              1.8699078931712734,
              1.8699078931712734
            ],
            "shiftExpected": 1.8699078931713145,
            "shiftDefect": [
              -4.107825191113079e-14,
              -4.107825191113079e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1516098000104762,
              0.15160980001044777
            ],
            "approximate": [
              217.7225816132694,
              222.0205758826104
            ],
            "approximateTV": [
              217.8003701237843,
              222.09836439312525
            ],
            "approximateDelta": [
              0.07778851051489255,
              0.07778851051486413
            ],
            "approximateResidual": 0.07778851051489255,
            "approximateError": 7.778851051486811,
            "approximateBound": 26.44018733354399,
            "pathDistance": 9.252036842731002,
            "pathBound": 9.252036842731467,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.17778851051488687
          },
          {
            "k": 259,
            "value": [
              208.6408536494806,
              212.93884791882158
            ],
            "q": [
              [
                207.55444511298577,
                208.80945943963337
              ],
              [
                213.10745370897433,
                208.55444511298577
              ]
            ],
            "tv": [
              208.80945943963337,
              213.10745370897433
            ],
            "delta": [
              0.16860579015278176,
              0.16860579015275334
            ],
            "residual": 0.16860579015278176,
            "minDelta": 0.16860579015275334,
            "maxDelta": 0.16860579015278176,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 16.86057901527562,
            "geometricBound": 17.016268985904397,
            "residualBound": 16.860579015278162,
            "lower": [
              225.5014326647559,
              229.7994269340969
            ],
            "upper": [
              225.50143266475874,
              229.79942693409976
            ],
            "policyLower": [
              225.50143266475595,
              229.7994269340969
            ],
            "optimalUpper": [
              225.50143266475874,
              229.7994269340997
            ],
            "certifiedStop": false,
            "shifted": [
              210.49206246372015,
              214.7900567330611
            ],
            "shiftDifference": [
              1.8512088142395555,
              1.851208814239527
            ],
            "shiftExpected": 1.8512088142396015,
            "shiftDefect": [
              -4.596323321948148e-14,
              -7.438494264988549e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1500937020103379,
              0.15009370201036631
            ],
            "approximate": [
              217.90037012378428,
              222.19836439312525
            ],
            "approximateTV": [
              217.976380749194,
              222.27437501853498
            ],
            "approximateDelta": [
              0.07601062540970815,
              0.07601062540973658
            ],
            "approximateResidual": 0.07601062540973658,
            "approximateError": 7.601062540971924,
            "approximateBound": 26.275785460208546,
            "pathDistance": 9.259516474303695,
            "pathBound": 9.259516474304151,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1760106254097309
          },
          {
            "k": 260,
            "value": [
              208.80945943963337,
              213.10745370897433
            ],
            "q": [
              [
                207.72136484523705,
                208.9763791718846
              ],
              [
                213.27437344122558,
                208.72136484523705
              ]
            ],
            "tv": [
              208.9763791718846,
              213.27437344122558
            ],
            "delta": [
              0.16691973225121615,
              0.16691973225124457
            ],
            "residual": 0.16691973225124457,
            "minDelta": 0.16691973225121615,
            "maxDelta": 0.16691973225124457,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 16.691973225122837,
            "geometricBound": 16.846106296045352,
            "residualBound": 16.691973225124443,
            "lower": [
              225.501432664755,
              229.79942693409595
            ],
            "upper": [
              225.50143266475783,
              229.7994269340988
            ],
            "policyLower": [
              225.501432664755,
              229.79942693409595
            ],
            "optimalUpper": [
              225.50143266475777,
              229.7994269340988
            ],
            "certifiedStop": false,
            "shifted": [
              210.64215616573048,
              214.94015043507147
            ],
            "shiftDifference": [
              1.8326967260971117,
              1.83269672609714
            ],
            "shiftExpected": 1.8326967260972054,
            "shiftDefect": [
              -9.370282327836321e-14,
              -6.52811138479592e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1485927649902692,
              0.1485927649902692
            ],
            "approximate": [
              218.076380749194,
              222.37437501853498
            ],
            "approximateTV": [
              218.15063126834963,
              222.44862553769062
            ],
            "approximateDelta": [
              0.0742505191556404,
              0.0742505191556404
            ],
            "approximateResidual": 0.0742505191556404,
            "approximateError": 7.425051915562221,
            "approximateBound": 26.11302760560646,
            "pathDistance": 9.266921309560644,
            "pathBound": 9.266921309561111,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.17425051915563472
          },
          {
            "k": 261,
            "value": [
              208.9763791718846,
              213.27437344122558
            ],
            "q": [
              [
                207.88661538016575,
                209.14162970681332
              ],
              [
                213.4396239761543,
                208.88661538016575
              ]
            ],
            "tv": [
              209.14162970681332,
              213.4396239761543
            ],
            "delta": [
              0.16525053492873099,
              0.16525053492873099
            ],
            "residual": 0.16525053492873099,
            "minDelta": 0.16525053492873099,
            "maxDelta": 0.16525053492873099,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 16.52505349287162,
            "geometricBound": 16.6776452330849,
            "residualBound": 16.525053492873084,
            "lower": [
              225.50143266475766,
              229.79942693409868
            ],
            "upper": [
              225.50143266475766,
              229.79942693409868
            ],
            "policyLower": [
              225.50143266475766,
              229.79942693409868
            ],
            "optimalUpper": [
              225.50143266475766,
              229.79942693409868
            ],
            "certifiedStop": false,
            "shifted": [
              210.79074893072075,
              215.08874320006174
            ],
            "shiftDifference": [
              1.8143697588361647,
              1.8143697588361647
            ],
            "shiftExpected": 1.814369758836233,
            "shiftDefect": [
              -6.838973831690964e-14,
              -6.838973831690964e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.14710683734037389,
              0.14710683734034546
            ],
            "approximate": [
              218.25063126834962,
              222.5486255376906
            ],
            "approximateTV": [
              218.3231392823137,
              222.62113355165465
            ],
            "approximateDelta": [
              0.07250801396406814,
              0.07250801396403972
            ],
            "approximateResidual": 0.07250801396406814,
            "approximateError": 7.250801396406587,
            "approximateBound": 25.9518973295504,
            "pathDistance": 9.274252096465034,
            "pathBound": 9.2742520964655,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.17250801396406246
          },
          {
            "k": 262,
            "value": [
              209.14162970681332,
              213.4396239761543
            ],
            "q": [
              [
                208.0502134097452,
                209.30522773639277
              ],
              [
                213.60322200573373,
                209.0502134097452
              ]
            ],
            "tv": [
              209.30522773639277,
              213.60322200573373
            ],
            "delta": [
              0.1635980295794468,
              0.16359802957941838
            ],
            "residual": 0.1635980295794468,
            "minDelta": 0.16359802957941838,
            "maxDelta": 0.1635980295794468,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 16.35980295794289,
            "geometricBound": 16.51086878075405,
            "residualBound": 16.359802957944666,
            "lower": [
              225.50143266475516,
              229.79942693409612
            ],
            "upper": [
              225.501432664758,
              229.79942693409896
            ],
            "policyLower": [
              225.50143266475516,
              229.79942693409612
            ],
            "optimalUpper": [
              225.501432664758,
              229.79942693409896
            ],
            "certifiedStop": false,
            "shifted": [
              210.93785576806113,
              215.2358500374021
            ],
            "shiftDifference": [
              1.7962260612478076,
              1.7962260612477792
            ],
            "shiftExpected": 1.7962260612478707,
            "shiftDefect": [
              -6.306066779870889e-14,
              -9.14823772291129e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1456357689669403,
              0.14563576896696873
            ],
            "approximate": [
              218.42313928231368,
              222.72113355165465
            ],
            "approximateTV": [
              218.4939222161381,
              222.79191648547908
            ],
            "approximateDelta": [
              0.07078293382440393,
              0.07078293382443235
            ],
            "approximateResidual": 0.07078293382443235,
            "approximateError": 7.078293382442524,
            "approximateBound": 25.792378356254893,
            "pathDistance": 9.281509575500365,
            "pathBound": 9.281509575500843,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.17078293382442666
          },
          {
            "k": 263,
            "value": [
              209.30522773639277,
              213.60322200573373
            ],
            "q": [
              [
                208.21217545902883,
                209.4671897856764
              ],
              [
                213.7651840550174,
                209.21217545902883
              ]
            ],
            "tv": [
              209.4671897856764,
              213.7651840550174
            ],
            "delta": [
              0.16196204928363045,
              0.16196204928365887
            ],
            "residual": 0.16196204928365887,
            "minDelta": 0.16196204928363045,
            "maxDelta": 0.16196204928365887,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 16.196204928363443,
            "geometricBound": 16.34576009294651,
            "residualBound": 16.196204928365873,
            "lower": [
              225.50143266475578,
              229.79942693409674
            ],
            "upper": [
              225.50143266475862,
              229.79942693409959
            ],
            "policyLower": [
              225.50143266475578,
              229.7994269340968
            ],
            "optimalUpper": [
              225.50143266475862,
              229.79942693409959
            ],
            "certifiedStop": false,
            "shifted": [
              211.08349153702807,
              215.38148580636906
            ],
            "shiftDifference": [
              1.778263800635301,
              1.7782638006353295
            ],
            "shiftExpected": 1.7782638006353921,
            "shiftDefect": [
              -9.103828801926284e-14,
              -6.261657858885883e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1441794112772925,
              0.14417941127726408
            ],
            "approximate": [
              218.59392221613808,
              222.89191648547907
            ],
            "approximateTV": [
              218.66299732062427,
              222.96099158996526
            ],
            "approximateDelta": [
              0.06907510448618837,
              0.06907510448618837
            ],
            "approximateResidual": 0.06907510448618837,
            "approximateError": 6.907510448618126,
            "approximateBound": 25.63445457269234,
            "pathDistance": 9.288694479745345,
            "pathBound": 9.288694479745834,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.16907510448618268
          },
          {
            "k": 264,
            "value": [
              209.4671897856764,
              213.7651840550174
            ],
            "q": [
              [
                208.37251788781964,
                209.6275322144672
              ],
              [
                213.92552648380817,
                209.37251788781964
              ]
            ],
            "tv": [
              209.6275322144672,
              213.92552648380817
            ],
            "delta": [
              0.16034242879081262,
              0.1603424287907842
            ],
            "residual": 0.16034242879081262,
            "minDelta": 0.1603424287907842,
            "maxDelta": 0.16034242879081262,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 16.034242879079812,
            "geometricBound": 16.182302492017044,
            "residualBound": 16.034242879081248,
            "lower": [
              225.50143266475482,
              229.79942693409578
            ],
            "upper": [
              225.50143266475766,
              229.79942693409862
            ],
            "policyLower": [
              225.50143266475482,
              229.79942693409578
            ],
            "optimalUpper": [
              225.50143266475766,
              229.79942693409862
            ],
            "certifiedStop": false,
            "shifted": [
              211.22767094830536,
              215.52566521764632
            ],
            "shiftDifference": [
              1.7604811626289631,
              1.7604811626289347
            ],
            "shiftExpected": 1.7604811626290382,
            "shiftDefect": [
              -7.505107646466058e-14,
              -1.0347278589506459e-13
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1427376171644994,
              0.14273761716452782
            ],
            "approximate": [
              218.76299732062427,
              223.06099158996525
            ],
            "approximateTV": [
              218.8303816740656,
              223.12837594340658
            ],
            "approximateDelta": [
              0.06738435344132654,
              0.06738435344132654
            ],
            "approximateResidual": 0.06738435344132654,
            "approximateError": 6.738435344131943,
            "approximateBound": 25.47811002696542,
            "pathDistance": 9.295807534947869,
            "pathBound": 9.295807534948377,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.16738435344132085
          },
          {
            "k": 265,
            "value": [
              209.6275322144672,
              213.92552648380817
            ],
            "q": [
              [
                208.53125689232255,
                209.78627121897009
              ],
              [
                214.08426548831105,
                209.53125689232255
              ]
            ],
            "tv": [
              209.78627121897009,
              214.08426548831105
            ],
            "delta": [
              0.15873900450287692,
              0.15873900450287692
            ],
            "residual": 0.15873900450287692,
            "minDelta": 0.15873900450287692,
            "maxDelta": 0.15873900450287692,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 15.873900450289,
            "geometricBound": 16.020479467096873,
            "residualBound": 15.873900450287678,
            "lower": [
              225.50143266475487,
              229.79942693409583
            ],
            "upper": [
              225.50143266475487,
              229.79942693409583
            ],
            "policyLower": [
              225.50143266475487,
              229.79942693409583
            ],
            "optimalUpper": [
              225.50143266475487,
              229.79942693409583
            ],
            "certifiedStop": false,
            "shifted": [
              211.37040856546986,
              215.66840283481085
            ],
            "shiftDifference": [
              1.74287635100265,
              1.7428763510026783
            ],
            "shiftExpected": 1.7428763510027478,
            "shiftDefect": [
              -9.792167077193881e-14,
              -6.94999613415348e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1413102409928797,
              0.1413102409928797
            ],
            "approximate": [
              218.9303816740656,
              223.22837594340658
            ],
            "approximateTV": [
              218.9960921839725,
              223.29408645331347
            ],
            "approximateDelta": [
              0.06571050990692129,
              0.06571050990689287
            ],
            "approximateResidual": 0.06571050990692129,
            "approximateError": 6.5710509906906225,
            "approximateBound": 25.323328926695766,
            "pathDistance": 9.302849459598406,
            "pathBound": 9.302849459598894,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1657105099069156
          },
          {
            "k": 266,
            "value": [
              209.78627121897009,
              214.08426548831105
            ],
            "q": [
              [
                208.68840850678038,
                209.94342283342795
              ],
              [
                214.24141710276888,
                209.68840850678038
              ]
            ],
            "tv": [
              209.94342283342795,
              214.24141710276888
            ],
            "delta": [
              0.15715161445785952,
              0.1571516144578311
            ],
            "residual": 0.15715161445785952,
            "minDelta": 0.1571516144578311,
            "maxDelta": 0.15715161445785952,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 15.715161445786123,
            "geometricBound": 15.860274672425904,
            "residualBound": 15.715161445785938,
            "lower": [
              225.50143266475317,
              229.79942693409413
            ],
            "upper": [
              225.501432664756,
              229.79942693409697
            ],
            "policyLower": [
              225.50143266475322,
              229.79942693409413
            ],
            "optimalUpper": [
              225.501432664756,
              229.79942693409697
            ],
            "certifiedStop": false,
            "shifted": [
              211.51171880646274,
              215.80971307580373
            ],
            "shiftDifference": [
              1.7254475874926527,
              1.7254475874926811
            ],
            "shiftExpected": 1.7254475874927202,
            "shiftDefect": [
              -6.750155989720952e-14,
              -3.907985046680551e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1398971385829384,
              0.13989713858290997
            ],
            "approximate": [
              219.0960921839725,
              223.39408645331346
            ],
            "approximateTV": [
              219.16014558878032,
              223.4581398581213
            ],
            "approximateDelta": [
              0.06405340480782229,
              0.06405340480785071
            ],
            "approximateResidual": 0.06405340480785071,
            "approximateError": 6.405340480783707,
            "approximateBound": 25.17009563742881,
            "pathDistance": 9.309820965002416,
            "pathBound": 9.309820965002904,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.16405340480784503
          },
          {
            "k": 267,
            "value": [
              209.94342283342795,
              214.24141710276888
            ],
            "q": [
              [
                208.84398860509367,
                210.09900293174118
              ],
              [
                214.39699720108217,
                209.84398860509367
              ]
            ],
            "tv": [
              210.09900293174118,
              214.39699720108217
            ],
            "delta": [
              0.15558009831323716,
              0.155580098313294
            ],
            "residual": 0.155580098313294,
            "minDelta": 0.15558009831323716,
            "maxDelta": 0.155580098313294,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 15.558009831328292,
            "geometricBound": 15.701671925701644,
            "residualBound": 15.558009831329386,
            "lower": [
              225.50143266475163,
              229.7994269340926
            ],
            "upper": [
              225.50143266475732,
              229.79942693409828
            ],
            "policyLower": [
              225.50143266475163,
              229.79942693409265
            ],
            "optimalUpper": [
              225.5014326647573,
              229.79942693409828
            ],
            "certifiedStop": false,
            "shifted": [
              211.65161594504568,
              215.94961021438664
            ],
            "shiftDifference": [
              1.7081931116177316,
              1.70819311161776
            ],
            "shiftExpected": 1.708193111617793,
            "shiftDefect": [
              -6.150635556423367e-14,
              -3.3084646133829665e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.13849816719709906,
              0.13849816719709906
            ],
            "approximate": [
              219.26014558878032,
              223.5581398581213
            ],
            "approximateTV": [
              219.3225584595401,
              223.62055272888108
            ],
            "approximateDelta": [
              0.06241287075977198,
              0.06241287075977198
            ],
            "approximateResidual": 0.06241287075977198,
            "approximateError": 6.24128707597589,
            "approximateBound": 25.01839468105452,
            "pathDistance": 9.31672275535243,
            "pathBound": 9.316722755352876,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1624128707597663
          },
          {
            "k": 268,
            "value": [
              210.09900293174118,
              214.39699720108217
            ],
            "q": [
              [
                208.99801290242377,
                210.25302722907134
              ],
              [
                214.55102149841233,
                209.99801290242377
              ]
            ],
            "tv": [
              210.25302722907134,
              214.55102149841233
            ],
            "delta": [
              0.1540242973301531,
              0.1540242973301531
            ],
            "residual": 0.1540242973301531,
            "minDelta": 0.1540242973301531,
            "maxDelta": 0.1540242973301531,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 15.402429733015026,
            "geometricBound": 15.544655206444627,
            "residualBound": 15.402429733015296,
            "lower": [
              225.50143266475646,
              229.79942693409748
            ],
            "upper": [
              225.50143266475646,
              229.79942693409748
            ],
            "policyLower": [
              225.5014326647565,
              229.79942693409748
            ],
            "optimalUpper": [
              225.5014326647565,
              229.79942693409748
            ],
            "certifiedStop": false,
            "shifted": [
              211.79011411224278,
              216.08810838158374
            ],
            "shiftDifference": [
              1.6911111805015935,
              1.691111180501565
            ],
            "shiftExpected": 1.691111180501615,
            "shiftDefect": [
              -2.1538326677728037e-14,
              -4.9960036108132044e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.13711318552512353,
              0.13711318552515195
            ],
            "approximate": [
              219.42255845954008,
              223.72055272888107
            ],
            "approximateTV": [
              219.48334720159227,
              223.7813414709332
            ],
            "approximateDelta": [
              0.06078874205218199,
              0.060788742052125144
            ],
            "approximateResidual": 0.06078874205218199,
            "approximateError": 6.078874205216124,
            "approximateBound": 24.868210734243974,
            "pathDistance": 9.323555527798902,
            "pathBound": 9.323555527799346,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1607887420521763
          },
          {
            "k": 269,
            "value": [
              210.25302722907134,
              214.55102149841233
            ],
            "q": [
              [
                209.15049695678061,
                210.4055112834282
              ],
              [
                214.70350555276917,
                210.15049695678061
              ]
            ],
            "tv": [
              210.4055112834282,
              214.70350555276917
            ],
            "delta": [
              0.15248405435687573,
              0.1524840543568473
            ],
            "residual": 0.15248405435687573,
            "minDelta": 0.1524840543568473,
            "maxDelta": 0.15248405435687573,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 15.248405435684873,
            "geometricBound": 15.389208654380184,
            "residualBound": 15.248405435687559,
            "lower": [
              225.50143266475607,
              229.79942693409703
            ],
            "upper": [
              225.5014326647589,
              229.79942693409987
            ],
            "policyLower": [
              225.5014326647561,
              229.79942693409706
            ],
            "optimalUpper": [
              225.5014326647589,
              229.79942693409987
            ],
            "certifiedStop": false,
            "shifted": [
              211.9272272977679,
              216.2252215671089
            ],
            "shiftDifference": [
              1.674200068696564,
              1.674200068696564
            ],
            "shiftExpected": 1.674200068696599,
            "shiftDefect": [
              -3.5083047578154947e-14,
              -3.5083047578154947e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.135742053669901,
              0.13574205366987258
            ],
            "approximate": [
              219.58334720159226,
              223.8813414709332
            ],
            "approximateTV": [
              219.64252805622385,
              223.94052232556487
            ],
            "approximateDelta": [
              0.05918085463159173,
              0.05918085463167699
            ],
            "approximateResidual": 0.05918085463167699,
            "approximateError": 5.918085463163976,
            "approximateBound": 24.719528626901536,
            "pathDistance": 9.330319972520925,
            "pathBound": 9.330319972521352,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1591808546316713
          },
          {
            "k": 270,
            "value": [
              210.4055112834282,
              214.70350555276917
            ],
            "q": [
              [
                209.30145617059392,
                210.5564704972415
              ],
              [
                214.85446476658245,
                210.30145617059392
              ]
            ],
            "tv": [
              210.5564704972415,
              214.85446476658245
            ],
            "delta": [
              0.15095921381328026,
              0.15095921381328026
            ],
            "residual": 0.15095921381328026,
            "minDelta": 0.15095921381328026,
            "maxDelta": 0.15095921381328026,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 15.095921381327997,
            "geometricBound": 15.23531656783638,
            "residualBound": 15.095921381328012,
            "lower": [
              225.50143266475624,
              229.7994269340972
            ],
            "upper": [
              225.50143266475624,
              229.7994269340972
            ],
            "policyLower": [
              225.50143266475624,
              229.7994269340972
            ],
            "optimalUpper": [
              225.50143266475624,
              229.7994269340972
            ],
            "certifiedStop": false,
            "shifted": [
              212.0629693514378,
              216.36096362077876
            ],
            "shiftDifference": [
              1.6574580680095892,
              1.6574580680095892
            ],
            "shiftExpected": 1.657458068009633,
            "shiftDefect": [
              -4.374278717023117e-14,
              -4.374278717023117e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1343846331331804,
              0.1343846331331804
            ],
            "approximate": [
              219.74252805622385,
              224.04052232556487
            ],
            "approximateTV": [
              219.8001171023092,
              224.09811137165016
            ],
            "approximateDelta": [
              0.05758904608535431,
              0.05758904608529747
            ],
            "approximateResidual": 0.05758904608535431,
            "approximateError": 5.758904608532362,
            "approximateBound": 24.572333340632518,
            "pathDistance": 9.337016772795693,
            "pathBound": 9.337016772796138,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.15758904608534863
          },
          {
            "k": 271,
            "value": [
              210.5564704972415,
              214.85446476658245
            ],
            "q": [
              [
                209.45090579226908,
                210.70592011891662
              ],
              [
                215.0039143882576,
                210.45090579226908
              ]
            ],
            "tv": [
              210.70592011891662,
              215.0039143882576
            ],
            "delta": [
              0.14944962167513154,
              0.14944962167515996
            ],
            "residual": 0.14944962167515996,
            "minDelta": 0.14944962167513154,
            "maxDelta": 0.14944962167515996,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 14.944962167514717,
            "geometricBound": 15.082963402158017,
            "residualBound": 14.944962167515984,
            "lower": [
              225.50143266475465,
              229.7994269340956
            ],
            "upper": [
              225.5014326647575,
              229.79942693409845
            ],
            "policyLower": [
              225.50143266475465,
              229.7994269340956
            ],
            "optimalUpper": [
              225.50143266475746,
              229.79942693409845
            ],
            "certifiedStop": false,
            "shifted": [
              212.19735398457098,
              216.49534825391194
            ],
            "shiftDifference": [
              1.6408834873294893,
              1.6408834873294893
            ],
            "shiftExpected": 1.6408834873295368,
            "shiftDefect": [
              -4.75175454539567e-14,
              -4.75175454539567e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.13304078680184261,
              0.13304078680189946
            ],
            "approximate": [
              219.9001171023092,
              224.19811137165016
            ],
            "approximateTV": [
              219.95613025793367,
              224.25412452727463
            ],
            "approximateDelta": [
              0.056013155624469846,
              0.056013155624469846
            ],
            "approximateResidual": 0.056013155624469846,
            "approximateError": 5.601315562447013,
            "approximateBound": 24.426610007226195,
            "pathDistance": 9.343646605067704,
            "pathBound": 9.343646605068178,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.15601315562446416
          },
          {
            "k": 272,
            "value": [
              210.70592011891662,
              215.0039143882576
            ],
            "q": [
              [
                209.59886091772745,
                210.85387524437505
              ],
              [
                215.15186951371598,
                210.59886091772745
              ]
            ],
            "tv": [
              210.85387524437505,
              215.15186951371598
            ],
            "delta": [
              0.1479551254584237,
              0.14795512545836687
            ],
            "residual": 0.1479551254584237,
            "minDelta": 0.14795512545836687,
            "maxDelta": 0.1479551254584237,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 14.795512545839586,
            "geometricBound": 14.932133768136435,
            "residualBound": 14.795512545842358,
            "lower": [
              225.5014326647533,
              229.7994269340943
            ],
            "upper": [
              225.501432664759,
              229.79942693409998
            ],
            "policyLower": [
              225.50143266475334,
              229.7994269340943
            ],
            "optimalUpper": [
              225.501432664759,
              229.79942693409993
            ],
            "certifiedStop": false,
            "shifted": [
              212.33039477137282,
              216.62838904071384
            ],
            "shiftDifference": [
              1.6244746524562004,
              1.6244746524562288
            ],
            "shiftExpected": 1.6244746524562412,
            "shiftDefect": [
              -4.085620730620576e-14,
              -1.2434497875801753e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1317103789338887,
              0.13171037893380344
            ],
            "approximate": [
              220.05613025793366,
              224.35412452727462
            ],
            "approximateTV": [
              220.11058328200187,
              224.40857755134286
            ],
            "approximateDelta": [
              0.05445302406820929,
              0.05445302406823771
            ],
            "approximateResidual": 0.05445302406823771,
            "approximateError": 5.445302406822549,
            "approximateBound": 24.28234390715393,
            "pathDistance": 9.350210139017037,
            "pathBound": 9.350210139017495,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.15445302406823203
          },
          {
            "k": 273,
            "value": [
              210.85387524437505,
              215.15186951371598
            ],
            "q": [
              [
                209.74533649193128,
                211.00035081857882
              ],
              [
                215.2983450879198,
                210.74533649193128
              ]
            ],
            "tv": [
              211.00035081857882,
              215.2983450879198
            ],
            "delta": [
              0.14647557420377666,
              0.1464755742038335
            ],
            "residual": 0.1464755742038335,
            "minDelta": 0.14647557420377666,
            "maxDelta": 0.1464755742038335,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 14.64755742038119,
            "geometricBound": 14.782812430455072,
            "residualBound": 14.647557420383338,
            "lower": [
              225.5014326647527,
              229.79942693409365
            ],
            "upper": [
              225.5014326647584,
              229.79942693409933
            ],
            "policyLower": [
              225.5014326647527,
              229.79942693409367
            ],
            "optimalUpper": [
              225.50143266475834,
              229.79942693409933
            ],
            "certifiedStop": false,
            "shifted": [
              212.4621051503067,
              216.76009941964764
            ],
            "shiftDifference": [
              1.6082299059316654,
              1.6082299059316654
            ],
            "shiftExpected": 1.608229905931679,
            "shiftDefect": [
              -1.354472090042691e-14,
              -1.354472090042691e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1303932751444563,
              0.13039327514451315
            ],
            "approximate": [
              220.21058328200186,
              224.50857755134285
            ],
            "approximateTV": [
              220.26349177582944,
              224.5614860451704
            ],
            "approximateDelta": [
              0.05290849382757301,
              0.05290849382754459
            ],
            "approximateResidual": 0.05290849382757301,
            "approximateError": 5.290849382754345,
            "approximateBound": 24.13952046808239,
            "pathDistance": 9.356708037626873,
            "pathBound": 9.35670803762732,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.15290849382756733
          },
          {
            "k": 274,
            "value": [
              211.00035081857882,
              215.2983450879198
            ],
            "q": [
              [
                209.89034731039303,
                211.14536163704062
              ],
              [
                215.44335590638156,
                210.89034731039303
              ]
            ],
            "tv": [
              211.14536163704062,
              215.44335590638156
            ],
            "delta": [
              0.14501081846179886,
              0.14501081846174202
            ],
            "residual": 0.14501081846179886,
            "minDelta": 0.14501081846174202,
            "maxDelta": 0.14501081846179886,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 14.501081846177385,
            "geometricBound": 14.634984306150521,
            "residualBound": 14.501081846179874,
            "lower": [
              225.50143266475303,
              229.79942693409401
            ],
            "upper": [
              225.5014326647587,
              229.7994269340997
            ],
            "policyLower": [
              225.50143266475308,
              229.79942693409401
            ],
            "optimalUpper": [
              225.5014326647587,
              229.79942693409964
            ],
            "certifiedStop": false,
            "shifted": [
              212.59249842545117,
              216.89049269479216
            ],
            "shiftDifference": [
              1.592147606872345,
              1.592147606872345
            ],
            "shiftExpected": 1.5921476068723621,
            "shiftDefect": [
              -1.709743457922741e-14,
              -1.709743457922741e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12908934239305836,
              0.12908934239302994
            ],
            "approximate": [
              220.36349177582943,
              224.6614860451704
            ],
            "approximateTV": [
              220.4148711847187,
              224.71286545405968
            ],
            "approximateDelta": [
              0.05137940888926096,
              0.05137940888928938
            ],
            "approximateResidual": 0.05137940888928938,
            "approximateError": 5.137940888926778,
            "approximateBound": 23.99812526340157,
            "pathDistance": 9.363140957250607,
            "pathBound": 9.363140957251046,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1513794088892837
          },
          {
            "k": 275,
            "value": [
              211.14536163704062,
              215.44335590638156
            ],
            "q": [
              [
                210.03390802067022,
                211.28892234731774
              ],
              [
                215.58691661665873,
                211.03390802067022
              ]
            ],
            "tv": [
              211.28892234731774,
              215.58691661665873
            ],
            "delta": [
              0.14356071027711437,
              0.1435607102771712
            ],
            "residual": 0.1435607102771712,
            "minDelta": 0.14356071027711437,
            "maxDelta": 0.1435607102771712,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 14.356071027715615,
            "geometricBound": 14.488634463089015,
            "residualBound": 14.356071027717109,
            "lower": [
              225.50143266475206,
              229.799426934093
            ],
            "upper": [
              225.50143266475774,
              229.79942693409868
            ],
            "policyLower": [
              225.50143266475203,
              229.79942693409305
            ],
            "optimalUpper": [
              225.5014326647577,
              229.79942693409868
            ],
            "certifiedStop": false,
            "shifted": [
              212.72158776784423,
              217.0195820371852
            ],
            "shiftDifference": [
              1.5762261308036045,
              1.576226130803633
            ],
            "shiftExpected": 1.5762261308036385,
            "shiftDefect": [
              -3.397282455352979e-14,
              -5.551115123125783e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1277984489691164,
              0.1277984489691164
            ],
            "approximate": [
              220.5148711847187,
              224.81286545405968
            ],
            "approximateTV": [
              220.56473679951907,
              224.86273106886003
            ],
            "approximateDelta": [
              0.04986561480038176,
              0.04986561480035334
            ],
            "approximateResidual": 0.04986561480038176,
            "approximateError": 4.986561480037523,
            "approximateBound": 23.858144010767553,
            "pathDistance": 9.36950954767812,
            "pathBound": 9.369509547678538,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.14986561480037608
          },
          {
            "k": 276,
            "value": [
              211.28892234731774,
              215.58691661665873
            ],
            "q": [
              [
                210.17603312384455,
                211.43104745049214
              ],
              [
                215.72904171983308,
                211.17603312384455
              ]
            ],
            "tv": [
              211.43104745049214,
              215.72904171983308
            ],
            "delta": [
              0.14212510317440774,
              0.1421251031743509
            ],
            "residual": 0.14212510317440774,
            "minDelta": 0.1421251031743509,
            "maxDelta": 0.14212510317440774,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 14.212510317438472,
            "geometricBound": 14.343748118458125,
            "residualBound": 14.212510317440762,
            "lower": [
              225.50143266475283,
              229.79942693409382
            ],
            "upper": [
              225.5014326647585,
              229.7994269340995
            ],
            "policyLower": [
              225.50143266475288,
              229.79942693409382
            ],
            "optimalUpper": [
              225.5014326647585,
              229.79942693409942
            ],
            "certifiedStop": false,
            "shifted": [
              212.84938621681334,
              217.1473804861543
            ],
            "shiftDifference": [
              1.5604638694956066,
              1.5604638694955781
            ],
            "shiftExpected": 1.5604638694956021,
            "shiftDefect": [
              4.440892098500626e-15,
              -2.398081733190338e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12652046447942666,
              0.12652046447942666
            ],
            "approximate": [
              220.66473679951906,
              224.96273106886002
            ],
            "approximateTV": [
              220.71310375817143,
              225.0110980275124
            ],
            "approximateDelta": [
              0.048366958652366066,
              0.048366958652366066
            ],
            "approximateResidual": 0.048366958652366066,
            "approximateError": 4.836695865237147,
            "approximateBound": 23.719562570659875,
            "pathDistance": 9.375814452201325,
            "pathBound": 9.375814452201752,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.14836695865236038
          },
          {
            "k": 277,
            "value": [
              211.43104745049214,
              215.72904171983308
            ],
            "q": [
              [
                210.31673697598723,
                211.57175130263474
              ],
              [
                215.86974557197573,
                211.31673697598723
              ]
            ],
            "tv": [
              211.57175130263474,
              215.86974557197573
            ],
            "delta": [
              0.14070385214259318,
              0.14070385214265002
            ],
            "residual": 0.14070385214265002,
            "minDelta": 0.14070385214259318,
            "maxDelta": 0.14070385214265002,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 14.070385214264093,
            "geometricBound": 14.200310637273544,
            "residualBound": 14.07038521426499,
            "lower": [
              225.50143266475146,
              229.7994269340924
            ],
            "upper": [
              225.50143266475715,
              229.79942693409808
            ],
            "policyLower": [
              225.50143266475146,
              229.79942693409245
            ],
            "optimalUpper": [
              225.5014326647571,
              229.79942693409805
            ],
            "certifiedStop": false,
            "shifted": [
              212.97590668129277,
              217.27390095063373
            ],
            "shiftDifference": [
              1.5448592308006255,
              1.544859230800654
            ],
            "shiftExpected": 1.544859230800646,
            "shiftDefect": [
              -2.042810365310288e-14,
              7.993605777301127e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12525525983463126,
              0.12525525983463126
            ],
            "approximate": [
              220.81310375817142,
              225.11109802751238
            ],
            "approximateTV": [
              220.85998704723727,
              225.1579813165782
            ],
            "approximateDelta": [
              0.046883289065846157,
              0.046883289065817735
            ],
            "approximateResidual": 0.046883289065846157,
            "approximateError": 4.688328906584786,
            "approximateBound": 23.58236694495328,
            "pathDistance": 9.382056307679306,
            "pathBound": 9.382056307679733,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.14688328906584047
          },
          {
            "k": 278,
            "value": [
              211.57175130263474,
              215.86974557197573
            ],
            "q": [
              [
                210.4560337896084,
                211.71104811625597
              ],
              [
                216.00904238559696,
                211.4560337896084
              ]
            ],
            "tv": [
              211.71104811625597,
              216.00904238559696
            ],
            "delta": [
              0.13929681362122892,
              0.13929681362122892
            ],
            "residual": 0.13929681362122892,
            "minDelta": 0.13929681362122892,
            "maxDelta": 0.13929681362122892,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 13.929681362121471,
            "geometricBound": 14.058307530900809,
            "residualBound": 13.92968136212288,
            "lower": [
              225.50143266475763,
              229.79942693409862
            ],
            "upper": [
              225.50143266475763,
              229.79942693409862
            ],
            "policyLower": [
              225.50143266475763,
              229.79942693409862
            ],
            "optimalUpper": [
              225.50143266475763,
              229.79942693409862
            ],
            "certifiedStop": false,
            "shifted": [
              213.1011619411274,
              217.39915621046836
            ],
            "shiftDifference": [
              1.5294106384926636,
              1.5294106384926351
            ],
            "shiftExpected": 1.5294106384926394,
            "shiftDefect": [
              2.4202861936828413e-14,
              -4.218847493575595e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12400270723628637,
              0.12400270723625795
            ],
            "approximate": [
              220.95998704723726,
              225.2579813165782
            ],
            "approximateTV": [
              221.0054015034124,
              225.3033957727534
            ],
            "approximateDelta": [
              0.04541445617513773,
              0.04541445617519457
            ],
            "approximateResidual": 0.04541445617519457,
            "approximateError": 4.541445617518974,
            "approximateBound": 23.446543275503743,
            "pathDistance": 9.388235744602525,
            "pathBound": 9.388235744602936,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1454144561751889
          },
          {
            "k": 279,
            "value": [
              211.71104811625597,
              216.00904238559696
            ],
            "q": [
              [
                210.5939376350934,
                211.848951961741
              ],
              [
                216.14694623108193,
                211.5939376350934
              ]
            ],
            "tv": [
              211.848951961741,
              216.14694623108193
            ],
            "delta": [
              0.13790384548502743,
              0.1379038454849706
            ],
            "residual": 0.13790384548502743,
            "minDelta": 0.1379038454849706,
            "maxDelta": 0.13790384548502743,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 13.790384548500242,
            "geometricBound": 13.9177244555918,
            "residualBound": 13.79038454850273,
            "lower": [
              225.50143266475303,
              229.79942693409401
            ],
            "upper": [
              225.5014326647587,
              229.7994269340997
            ],
            "policyLower": [
              225.50143266475308,
              229.79942693409401
            ],
            "optimalUpper": [
              225.5014326647587,
              229.79942693409964
            ],
            "certifiedStop": false,
            "shifted": [
              213.2251646483637,
              217.52315891770462
            ],
            "shiftDifference": [
              1.514116532107721,
              1.5141165321076642
            ],
            "shiftExpected": 1.5141165321077132,
            "shiftDefect": [
              7.771561172376096e-15,
              -4.907185768843192e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12276268016387348,
              0.12276268016393033
            ],
            "approximate": [
              221.1054015034124,
              225.40339577275338
            ],
            "approximateTV": [
              221.14936181502586,
              225.4473560843668
            ],
            "approximateDelta": [
              0.04396031161346059,
              0.043960311613403746
            ],
            "approximateResidual": 0.04396031161346059,
            "approximateError": 4.396031161343814,
            "approximateBound": 23.312077842748707,
            "pathDistance": 9.394353387156428,
            "pathBound": 9.394353387156908,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1439603116134549
          },
          {
            "k": 280,
            "value": [
              211.848951961741,
              216.14694623108193
            ],
            "q": [
              [
                210.73046244212358,
                211.9854767687711
              ],
              [
                216.28347103811208,
                211.73046244212358
              ]
            ],
            "tv": [
              211.9854767687711,
              216.28347103811208
            ],
            "delta": [
              0.13652480703009928,
              0.13652480703015613
            ],
            "residual": 0.13652480703015613,
            "minDelta": 0.13652480703009928,
            "maxDelta": 0.13652480703015613,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 13.652480703015243,
            "geometricBound": 13.778547211035882,
            "residualBound": 13.6524807030156,
            "lower": [
              225.50143266475092,
              229.79942693409185
            ],
            "upper": [
              225.5014326647566,
              229.79942693409754
            ],
            "policyLower": [
              225.50143266475092,
              229.7994269340919
            ],
            "optimalUpper": [
              225.50143266475655,
              229.79942693409754
            ],
            "certifiedStop": false,
            "shifted": [
              213.34792732852756,
              217.64592159786855
            ],
            "shiftDifference": [
              1.498975366786567,
              1.498975366786624
            ],
            "shiftExpected": 1.498975366786636,
            "shiftDefect": [
              -6.88338275267597e-14,
              -1.199040866595169e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12153505336229387,
              0.12153505336229387
            ],
            "approximate": [
              221.24936181502585,
              225.54735608436678
            ],
            "approximateTV": [
              221.2918825235231,
              225.58987679286412
            ],
            "approximateDelta": [
              0.04252070849724987,
              0.042520708497335136
            ],
            "approximateResidual": 0.042520708497335136,
            "approximateError": 4.252070849730387,
            "approximateBound": 23.178957064321217,
            "pathDistance": 9.400409853284856,
            "pathBound": 9.400409853285337,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.14252070849732945
          },
          {
            "k": 281,
            "value": [
              211.9854767687711,
              216.28347103811208
            ],
            "q": [
              [
                210.86562200108338,
                212.12063632773095
              ],
              [
                216.41863059707194,
                211.86562200108338
              ]
            ],
            "tv": [
              212.12063632773095,
              216.41863059707194
            ],
            "delta": [
              0.13515955895985599,
              0.13515955895985599
            ],
            "residual": 0.13515955895985599,
            "minDelta": 0.13515955895985599,
            "maxDelta": 0.13515955895985599,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 13.515955895985115,
            "geometricBound": 13.640761738925523,
            "residualBound": 13.515955895985586,
            "lower": [
              225.5014326647567,
              229.79942693409768
            ],
            "upper": [
              225.5014326647567,
              229.79942693409768
            ],
            "policyLower": [
              225.5014326647567,
              229.79942693409768
            ],
            "optimalUpper": [
              225.5014326647567,
              229.79942693409768
            ],
            "certifiedStop": false,
            "shifted": [
              213.46946238188985,
              217.76745665123084
            ],
            "shiftDifference": [
              1.4839856131187616,
              1.4839856131187616
            ],
            "shiftExpected": 1.4839856131187696,
            "shiftDefect": [
              -7.993605777301127e-15,
              -7.993605777301127e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12031970282868087,
              0.12031970282865245
            ],
            "approximate": [
              221.3918825235231,
              225.6898767928641
            ],
            "approximateTV": [
              221.43297802493547,
              225.73097229427643
            ],
            "approximateDelta": [
              0.041095501412371505,
              0.04109550141231466
            ],
            "approximateResidual": 0.041095501412371505,
            "approximateError": 4.109550141233115,
            "approximateBound": 23.047167493678007,
            "pathDistance": 9.40640575475203,
            "pathBound": 9.406405754752484,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.14109550141236582
          },
          {
            "k": 282,
            "value": [
              212.12063632773095,
              216.41863059707194
            ],
            "q": [
              [
                210.99942996445364,
                212.2544442911012
              ],
              [
                216.55243856044217,
                211.99942996445364
              ]
            ],
            "tv": [
              212.2544442911012,
              216.55243856044217
            ],
            "delta": [
              0.13380796337025913,
              0.1338079633702307
            ],
            "residual": 0.13380796337025913,
            "minDelta": 0.1338079633702307,
            "maxDelta": 0.13380796337025913,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 13.38079633702526,
            "geometricBound": 13.504354121536267,
            "residualBound": 13.3807963370259,
            "lower": [
              225.50143266475402,
              229.799426934095
            ],
            "upper": [
              225.50143266475686,
              229.79942693409785
            ],
            "policyLower": [
              225.50143266475405,
              229.799426934095
            ],
            "optimalUpper": [
              225.50143266475686,
              229.79942693409782
            ],
            "certifiedStop": false,
            "shifted": [
              213.58978208471854,
              217.8877763540595
            ],
            "shiftDifference": [
              1.4691457569875865,
              1.4691457569875581
            ],
            "shiftExpected": 1.4691457569875819,
            "shiftDefect": [
              4.6629367034256575e-15,
              -2.375877272697835e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11911650580037758,
              0.11911650580037758
            ],
            "approximate": [
              221.53297802493546,
              225.83097229427642
            ],
            "approximateTV": [
              221.57266257133367,
              225.87065684067463
            ],
            "approximateDelta": [
              0.039684546398206066,
              0.039684546398206066
            ],
            "approximateResidual": 0.039684546398206066,
            "approximateError": 3.9684546398207488,
            "approximateBound": 22.916695818741225,
            "pathDistance": 9.41234169720451,
            "pathBound": 9.412341697204958,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.13968454639820038
          },
          {
            "k": 283,
            "value": [
              212.2544442911012,
              216.55243856044217
            ],
            "q": [
              [
                211.1318998481902,
                212.38691417483776
              ],
              [
                216.68490844417872,
                212.1318998481902
              ]
            ],
            "tv": [
              212.38691417483776,
              216.68490844417872
            ],
            "delta": [
              0.13246988373654744,
              0.13246988373654744
            ],
            "residual": 0.13246988373654744,
            "minDelta": 0.13246988373654744,
            "maxDelta": 0.13246988373654744,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 13.246988373655,
            "geometricBound": 13.369310580320905,
            "residualBound": 13.246988373654732,
            "lower": [
              225.50143266475595,
              229.7994269340969
            ],
            "upper": [
              225.50143266475595,
              229.7994269340969
            ],
            "policyLower": [
              225.50143266475595,
              229.7994269340969
            ],
            "optimalUpper": [
              225.50143266475595,
              229.7994269340969
            ],
            "certifiedStop": false,
            "shifted": [
              213.7088985905189,
              218.00689285985987
            ],
            "shiftDifference": [
              1.454454299417705,
              1.454454299417705
            ],
            "shiftExpected": 1.454454299417706,
            "shiftDefect": [
              -1.1102230246251565e-15,
              -1.1102230246251565e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11792534074237437,
              0.11792534074237437
            ],
            "approximate": [
              221.67266257133366,
              225.97065684067462
            ],
            "approximateTV": [
              221.71095027226787,
              226.00894454160886
            ],
            "approximateDelta": [
              0.038287700934205304,
              0.038287700934233726
            ],
            "approximateResidual": 0.038287700934233726,
            "approximateError": 3.8287700934225484,
            "approximateBound": 22.787528860553813,
            "pathDistance": 9.418218280232452,
            "pathBound": 9.41821828023291,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.13828770093422804
          },
          {
            "k": 284,
            "value": [
              212.38691417483776,
              216.68490844417872
            ],
            "q": [
              [
                211.26304503308938,
                212.51805935973692
              ],
              [
                216.8160536290779,
                212.26304503308938
              ]
            ],
            "tv": [
              212.51805935973692,
              216.8160536290779
            ],
            "delta": [
              0.13114518489916804,
              0.13114518489919647
            ],
            "residual": 0.13114518489919647,
            "minDelta": 0.13114518489916804,
            "maxDelta": 0.13114518489919647,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 13.114518489918453,
            "geometricBound": 13.235617474517696,
            "residualBound": 13.114518489919634,
            "lower": [
              225.50143266475456,
              229.79942693409552
            ],
            "upper": [
              225.5014326647574,
              229.79942693409836
            ],
            "policyLower": [
              225.50143266475456,
              229.79942693409555
            ],
            "optimalUpper": [
              225.50143266475737,
              229.79942693409836
            ],
            "certifiedStop": false,
            "shifted": [
              213.8268239312613,
              218.12481820060225
            ],
            "shiftDifference": [
              1.439909756423532,
              1.439909756423532
            ],
            "shiftExpected": 1.439909756423529,
            "shiftDefect": [
              2.886579864025407e-15,
              2.886579864025407e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11674608733494551,
              0.11674608733494551
            ],
            "approximate": [
              221.81095027226786,
              226.10894454160885
            ],
            "approximateTV": [
              221.84785509619275,
              226.14584936553373
            ],
            "approximateDelta": [
              0.03690482392488548,
              0.03690482392488548
            ],
            "approximateResidual": 0.03690482392488548,
            "approximateError": 3.6904823924883488,
            "approximateBound": 22.659653571948276,
            "pathDistance": 9.424036097430132,
            "pathBound": 9.42403609743058,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1369048239248798
          },
          {
            "k": 285,
            "value": [
              212.51805935973692,
              216.8160536290779
            ],
            "q": [
              [
                211.39287876613955,
                212.64789309278714
              ],
              [
                216.94588736212808,
                212.39287876613955
              ]
            ],
            "tv": [
              212.64789309278714,
              216.94588736212808
            ],
            "delta": [
              0.12983373305021928,
              0.12983373305016244
            ],
            "residual": 0.12983373305021928,
            "minDelta": 0.12983373305016244,
            "maxDelta": 0.12983373305021928,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 12.983373305019285,
            "geometricBound": 13.10326129977252,
            "residualBound": 12.983373305021917,
            "lower": [
              225.50143266475317,
              229.79942693409416
            ],
            "upper": [
              225.50143266475885,
              229.79942693409984
            ],
            "policyLower": [
              225.50143266475322,
              229.79942693409416
            ],
            "optimalUpper": [
              225.50143266475885,
              229.79942693409978
            ],
            "certifiedStop": false,
            "shifted": [
              213.94357001859623,
              218.2415642879372
            ],
            "shiftDifference": [
              1.4255106588593094,
              1.425510658859281
            ],
            "shiftExpected": 1.4255106588592936,
            "shiftDefect": [
              1.5765166949677223e-14,
              -1.2656542480726785e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11557862646159833,
              0.11557862646159833
            ],
            "approximate": [
              221.94785509619274,
              226.24584936553373
            ],
            "approximateTV": [
              221.98339087187838,
              226.28138514121937
            ],
            "approximateDelta": [
              0.03553577568564492,
              0.03553577568564492
            ],
            "approximateResidual": 0.03553577568564492,
            "approximateError": 3.553577568563469,
            "approximateBound": 22.533057036228794,
            "pathDistance": 9.429795736455816,
            "pathBound": 9.429795736456274,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.13553577568563924
          },
          {
            "k": 286,
            "value": [
              212.64789309278714,
              216.94588736212808
            ],
            "q": [
              [
                211.52141416185927,
                212.77642848850678
              ],
              [
                217.07442275784777,
                212.52141416185927
              ]
            ],
            "tv": [
              212.77642848850678,
              217.07442275784777
            ],
            "delta": [
              0.1285353957196378,
              0.12853539571969463
            ],
            "residual": 0.12853539571969463,
            "minDelta": 0.1285353957196378,
            "maxDelta": 0.12853539571969463,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 12.853539571969094,
            "geometricBound": 12.972228686774793,
            "residualBound": 12.853539571969453,
            "lower": [
              225.50143266475092,
              229.79942693409185
            ],
            "upper": [
              225.5014326647566,
              229.79942693409754
            ],
            "policyLower": [
              225.50143266475092,
              229.7994269340919
            ],
            "optimalUpper": [
              225.50143266475655,
              229.79942693409754
            ],
            "certifiedStop": false,
            "shifted": [
              214.05914864505783,
              218.3571429143988
            ],
            "shiftDifference": [
              1.4112555522706884,
              1.4112555522707169
            ],
            "shiftExpected": 1.4112555522707007,
            "shiftDefect": [
              -1.2212453270876722e-14,
              1.6209256159527285e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11442284019696558,
              0.11442284019702242
            ],
            "approximate": [
              222.08339087187838,
              226.38138514121937
            ],
            "approximateTV": [
              222.11757128980716,
              226.41556555914812
            ],
            "approximateDelta": [
              0.03418041792878057,
              0.03418041792875215
            ],
            "approximateResidual": 0.03418041792878057,
            "approximateError": 3.4180417928778297,
            "approximateBound": 22.407726465866503,
            "pathDistance": 9.435497779091293,
            "pathBound": 9.43549777909171,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1341804179287749
          },
          {
            "k": 287,
            "value": [
              212.77642848850678,
              217.07442275784777
            ],
            "q": [
              [
                211.6486642036217,
                212.9036785302693
              ],
              [
                217.20167279961024,
                212.6486642036217
              ]
            ],
            "tv": [
              212.9036785302693,
              217.20167279961024
            ],
            "delta": [
              0.12725004176252241,
              0.12725004176246557
            ],
            "residual": 0.12725004176252241,
            "minDelta": 0.12725004176246557,
            "maxDelta": 0.12725004176252241,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 12.725004176249428,
            "geometricBound": 12.842506399907045,
            "residualBound": 12.72500417625223,
            "lower": [
              225.50143266475334,
              229.79942693409433
            ],
            "upper": [
              225.50143266475902,
              229.7994269341
            ],
            "policyLower": [
              225.5014326647534,
              229.79942693409433
            ],
            "optimalUpper": [
              225.50143266475902,
              229.79942693409996
            ],
            "certifiedStop": false,
            "shifted": [
              214.1735714852548,
              218.47156575459582
            ],
            "shiftDifference": [
              1.3971429967480162,
              1.3971429967480447
            ],
            "shiftExpected": 1.3971429967479936,
            "shiftDefect": [
              2.2648549702353193e-14,
              5.10702591327572e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11327861179506726,
              0.113278611794982
            ],
            "approximate": [
              222.21757128980715,
              226.51556555914811
            ],
            "approximateTV": [
              222.25040990355663,
              226.54840417289762
            ],
            "approximateDelta": [
              0.03283861374947605,
              0.032838613749504475
            ],
            "approximateResidual": 0.032838613749504475,
            "approximateError": 3.283861374949055,
            "approximateBound": 22.283649201207837,
            "pathDistance": 9.441142801300373,
            "pathBound": 9.441142801300794,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1328386137494988
          },
          {
            "k": 288,
            "value": [
              212.9036785302693,
              217.20167279961024
            ],
            "q": [
              [
                211.7746417449666,
                213.02965607161414
              ],
              [
                217.32765034095513,
                212.7746417449666
              ]
            ],
            "tv": [
              213.02965607161414,
              217.32765034095513
            ],
            "delta": [
              0.12597754134483807,
              0.12597754134489492
            ],
            "residual": 0.12597754134489492,
            "minDelta": 0.12597754134483807,
            "maxDelta": 0.12597754134489492,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 12.597754134486934,
            "geometricBound": 12.714081335907975,
            "residualBound": 12.597754134489481,
            "lower": [
              225.5014326647531,
              229.79942693409404
            ],
            "upper": [
              225.5014326647588,
              229.79942693409973
            ],
            "policyLower": [
              225.5014326647531,
              229.7994269340941
            ],
            "optimalUpper": [
              225.50143266475874,
              229.79942693409973
            ],
            "certifiedStop": false,
            "shifted": [
              214.28685009704986,
              218.5848443663908
            ],
            "shiftDifference": [
              1.383171566780561,
              1.383171566780561
            ],
            "shiftExpected": 1.3831715667805138,
            "shiftDefect": [
              4.729550084903167e-14,
              4.729550084903167e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11214582567703246,
              0.1121458256770893
            ],
            "approximate": [
              222.35040990355662,
              226.6484041728976
            ],
            "approximateTV": [
              222.38192013116864,
              226.6799144005096
            ],
            "approximateDelta": [
              0.03151022761201716,
              0.03151022761198874
            ],
            "approximateResidual": 0.03151022761201716,
            "approximateError": 3.1510227611995845,
            "approximateBound": 22.16081270919576,
            "pathDistance": 9.446731373287378,
            "pathBound": 9.446731373287786,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.13151022761201148
          },
          {
            "k": 289,
            "value": [
              213.02965607161414,
              217.32765034095513
            ],
            "q": [
              [
                211.899359510898,
                213.1543738375456
              ],
              [
                217.45236810688655,
                212.899359510898
              ]
            ],
            "tv": [
              213.1543738375456,
              217.45236810688655
            ],
            "delta": [
              0.12471776593145023,
              0.12471776593142181
            ],
            "residual": 0.12471776593145023,
            "minDelta": 0.12471776593142181,
            "maxDelta": 0.12471776593145023,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 12.471776593142067,
            "geometricBound": 12.586940522548895,
            "residualBound": 12.471776593145012,
            "lower": [
              225.50143266475632,
              229.7994269340973
            ],
            "upper": [
              225.50143266475916,
              229.79942693410015
            ],
            "policyLower": [
              225.50143266475635,
              229.7994269340973
            ],
            "optimalUpper": [
              225.50143266475916,
              229.79942693410013
            ],
            "certifiedStop": false,
            "shifted": [
              214.3989959227269,
              218.6969901920679
            ],
            "shiftDifference": [
              1.3693398511127555,
              1.3693398511127555
            ],
            "shiftExpected": 1.3693398511127086,
            "shiftDefect": [
              4.6851411639181606e-14,
              4.6851411639181606e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11102436742029909,
              0.11102436742027066
            ],
            "approximate": [
              222.48192013116864,
              226.7799144005096
            ],
            "approximateTV": [
              222.5121152565045,
              226.8101095258455
            ],
            "approximateDelta": [
              0.030195125335865214,
              0.030195125335893636
            ],
            "approximateResidual": 0.030195125335893636,
            "approximateError": 3.019512533587573,
            "approximateBound": 22.039204582103803,
            "pathDistance": 9.452264059554494,
            "pathBound": 9.452264059554908,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.13019512533588795
          },
          {
            "k": 290,
            "value": [
              213.1543738375456,
              217.45236810688655
            ],
            "q": [
              [
                212.02283009917014,
                213.27784442581768
              ],
              [
                217.57583869515864,
                213.02283009917014
              ]
            ],
            "tv": [
              213.27784442581768,
              217.57583869515864
            ],
            "delta": [
              0.12347058827208457,
              0.12347058827208457
            ],
            "residual": 0.12347058827208457,
            "minDelta": 0.12347058827208457,
            "maxDelta": 0.12347058827208457,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 12.347058827210617,
            "geometricBound": 12.461071117323407,
            "residualBound": 12.347058827208446,
            "lower": [
              225.50143266475405,
              229.799426934095
            ],
            "upper": [
              225.50143266475405,
              229.799426934095
            ],
            "policyLower": [
              225.50143266475405,
              229.799426934095
            ],
            "optimalUpper": [
              225.50143266475405,
              229.799426934095
            ],
            "certifiedStop": false,
            "shifted": [
              214.5100202901472,
              218.80801455948816
            ],
            "shiftDifference": [
              1.3556464526016043,
              1.3556464526016043
            ],
            "shiftExpected": 1.3556464526015815,
            "shiftDefect": [
              2.2870594307278225e-14,
              2.2870594307278225e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1099141237460799,
              0.1099141237460799
            ],
            "approximate": [
              222.6121152565045,
              226.91010952584548
            ],
            "approximateTV": [
              222.64100843058702,
              226.939002699928
            ],
            "approximateDelta": [
              0.02889317408252623,
              0.02889317408252623
            ],
            "approximateResidual": 0.02889317408252623,
            "approximateError": 2.8893174082517135,
            "approximateBound": 21.918812536282765,
            "pathDistance": 9.457741418958932,
            "pathBound": 9.45774141895936,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12889317408252055
          },
          {
            "k": 291,
            "value": [
              213.27784442581768,
              217.57583869515864
            ],
            "q": [
              [
                212.1450659815595,
                213.40008030820704
              ],
              [
                217.69807457754806,
                213.1450659815595
              ]
            ],
            "tv": [
              213.40008030820704,
              217.69807457754806
            ],
            "delta": [
              0.12223588238936145,
              0.1222358823894183
            ],
            "residual": 0.1222358823894183,
            "minDelta": 0.12223588238936145,
            "maxDelta": 0.1222358823894183,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 12.223588238938532,
            "geometricBound": 12.336460406150172,
            "residualBound": 12.223588238941819,
            "lower": [
              225.50143266475382,
              229.79942693409478
            ],
            "upper": [
              225.5014326647595,
              229.79942693410047
            ],
            "policyLower": [
              225.50143266475382,
              229.79942693409484
            ],
            "optimalUpper": [
              225.50143266475945,
              229.79942693410047
            ],
            "certifiedStop": false,
            "shifted": [
              214.61993441389328,
              218.91792868323424
            ],
            "shiftDifference": [
              1.3420899880755996,
              1.3420899880755996
            ],
            "shiftExpected": 1.3420899880755657,
            "shiftDefect": [
              3.397282455352979e-14,
              3.397282455352979e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.1088149825086191,
              0.1088149825086191
            ],
            "approximate": [
              222.74100843058702,
              227.039002699928
            ],
            "approximateTV": [
              222.76861267292873,
              227.06660694226971
            ],
            "approximateDelta": [
              0.02760424234170955,
              0.02760424234170955
            ],
            "approximateResidual": 0.02760424234170955,
            "approximateError": 2.760424234169193,
            "approximateBound": 21.79962441091994,
            "pathDistance": 9.463164004769368,
            "pathBound": 9.463164004769766,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12760424234170387
          },
          {
            "k": 292,
            "value": [
              213.40008030820704,
              217.69807457754806
            ],
            "q": [
              [
                212.26607950512496,
                213.52109383177256
              ],
              [
                217.81908810111352,
                213.26607950512496
              ]
            ],
            "tv": [
              213.52109383177256,
              217.81908810111352
            ],
            "delta": [
              0.12101352356552297,
              0.12101352356546613
            ],
            "residual": 0.12101352356552297,
            "minDelta": 0.12101352356546613,
            "maxDelta": 0.12101352356552297,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 12.101352356549171,
            "geometricBound": 12.21309580208867,
            "residualBound": 12.101352356552287,
            "lower": [
              225.50143266475365,
              229.79942693409467
            ],
            "upper": [
              225.50143266475934,
              229.79942693410035
            ],
            "policyLower": [
              225.5014326647537,
              229.79942693409467
            ],
            "optimalUpper": [
              225.50143266475934,
              229.7994269341003
            ],
            "certifiedStop": false,
            "shifted": [
              214.7287493964019,
              219.02674366574286
            ],
            "shiftDifference": [
              1.3286690881948573,
              1.3286690881948005
            ],
            "shiftExpected": 1.32866908819481,
            "shiftDefect": [
              4.729550084903167e-14,
              -9.547918011776346e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10772683268353944,
              0.10772683268353944
            ],
            "approximate": [
              222.86861267292872,
              227.1666069422697
            ],
            "approximateTV": [
              222.894940872847,
              227.192935142188
            ],
            "approximateDelta": [
              0.02632819991828228,
              0.02632819991828228
            ],
            "approximateResidual": 0.02632819991828228,
            "approximateError": 2.632819991827489,
            "approximateBound": 21.68162816681074,
            "pathDistance": 9.468532364721682,
            "pathBound": 9.46853236472207,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1263281999182766
          },
          {
            "k": 293,
            "value": [
              213.52109383177256,
              217.81908810111352
            ],
            "q": [
              [
                212.38588289345483,
                213.64089722010237
              ],
              [
                217.93889148944336,
                213.38588289345483
              ]
            ],
            "tv": [
              213.64089722010237,
              217.93889148944336
            ],
            "delta": [
              0.11980338832981374,
              0.11980338832984216
            ],
            "residual": 0.11980338832984216,
            "minDelta": 0.11980338832981374,
            "maxDelta": 0.11980338832984216,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 11.980338832983648,
            "geometricBound": 12.090964844067784,
            "residualBound": 11.980338832984206,
            "lower": [
              225.50143266475393,
              229.7994269340949
            ],
            "upper": [
              225.50143266475678,
              229.79942693409774
            ],
            "policyLower": [
              225.50143266475393,
              229.79942693409492
            ],
            "optimalUpper": [
              225.50143266475675,
              229.79942693409774
            ],
            "certifiedStop": false,
            "shifted": [
              214.83647622908543,
              219.1344704984264
            ],
            "shiftDifference": [
              1.3153823973128738,
              1.3153823973128738
            ],
            "shiftExpected": 1.315382397312862,
            "shiftDefect": [
              1.176836406102666e-14,
              1.176836406102666e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10664956435670092,
              0.10664956435672934
            ],
            "approximate": [
              222.994940872847,
              227.29293514218799
            ],
            "approximateTV": [
              223.0200057907661,
              227.31800006010707
            ],
            "approximateDelta": [
              0.02506491791911003,
              0.02506491791908161
            ],
            "approximateResidual": 0.02506491791911003,
            "approximateError": 2.5064917919092125,
            "approximateBound": 21.564811885142632,
            "pathDistance": 9.473847041074464,
            "pathBound": 9.473847041074848,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12506491791910435
          },
          {
            "k": 294,
            "value": [
              213.64089722010237,
              217.93889148944336
            ],
            "q": [
              [
                212.50448824790135,
                213.75950257454892
              ],
              [
                218.05749684388988,
                213.50448824790135
              ]
            ],
            "tv": [
              213.75950257454892,
              218.05749684388988
            ],
            "delta": [
              0.11860535444654374,
              0.11860535444651532
            ],
            "residual": 0.11860535444654374,
            "minDelta": 0.11860535444651532,
            "maxDelta": 0.11860535444654374,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 11.860535444653834,
            "geometricBound": 11.970055195627104,
            "residualBound": 11.860535444654364,
            "lower": [
              225.5014326647539,
              229.7994269340949
            ],
            "upper": [
              225.50143266475675,
              229.79942693409774
            ],
            "policyLower": [
              225.50143266475393,
              229.7994269340949
            ],
            "optimalUpper": [
              225.50143266475675,
              229.7994269340977
            ],
            "certifiedStop": false,
            "shifted": [
              214.94312579344214,
              219.24112006278312
            ],
            "shiftDifference": [
              1.302228573339761,
              1.302228573339761
            ],
            "shiftExpected": 1.3022285733397332,
            "shiftDefect": [
              2.7755575615628914e-14,
              2.7755575615628914e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10558306871314471,
              0.10558306871314471
            ],
            "approximate": [
              223.1200057907661,
              227.41800006010706
            ],
            "approximateTV": [
              223.143820059506,
              227.44181432884696
            ],
            "approximateDelta": [
              0.02381426873989767,
              0.02381426873989767
            ],
            "approximateResidual": 0.02381426873989767,
            "approximateError": 2.381426873990108,
            "approximateBound": 21.449163766291203,
            "pathDistance": 9.479108570663726,
            "pathBound": 9.4791085706641,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12381426873989199
          },
          {
            "k": 295,
            "value": [
              213.75950257454892,
              218.05749684388988
            ],
            "q": [
              [
                212.62190754880342,
                213.876921875451
              ],
              [
                218.17491614479192,
                213.62190754880342
              ]
            ],
            "tv": [
              213.876921875451,
              218.17491614479192
            ],
            "delta": [
              0.1174193009020712,
              0.11741930090204278
            ],
            "residual": 0.1174193009020712,
            "minDelta": 0.11741930090204278,
            "maxDelta": 0.1174193009020712,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 11.74193009020729,
            "geometricBound": 11.850354643670835,
            "residualBound": 11.74193009020711,
            "lower": [
              225.5014326647532,
              229.79942693409416
            ],
            "upper": [
              225.50143266475604,
              229.799426934097
            ],
            "policyLower": [
              225.50143266475322,
              229.79942693409416
            ],
            "optimalUpper": [
              225.50143266475604,
              229.79942693409697
            ],
            "certifiedStop": false,
            "shifted": [
              215.04870886215528,
              219.34670313149627
            ],
            "shiftDifference": [
              1.289206287606362,
              1.2892062876063903
            ],
            "shiftExpected": 1.289206287606336,
            "shiftDefect": [
              2.5979218776228663e-14,
              5.440092820663267e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10452723802603714,
              0.1045272380259803
            ],
            "approximate": [
              223.243820059506,
              227.54181432884695
            ],
            "approximateTV": [
              223.26639618555848,
              227.56439045489947
            ],
            "approximateDelta": [
              0.022576126052484824,
              0.022576126052513246
            ],
            "approximateResidual": 0.022576126052513246,
            "approximateError": 2.257612605250216,
            "approximateBound": 21.33467212862829,
            "pathDistance": 9.484317484957074,
            "pathBound": 9.484317484957456,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12257612605250756
          },
          {
            "k": 296,
            "value": [
              213.876921875451,
              218.17491614479192
            ],
            "q": [
              [
                212.73815265669649,
                213.993166983344
              ],
              [
                218.291161252685,
                213.73815265669649
              ]
            ],
            "tv": [
              213.993166983344,
              218.291161252685
            ],
            "delta": [
              0.11624510789300757,
              0.11624510789306441
            ],
            "residual": 0.11624510789306441,
            "minDelta": 0.11624510789300757,
            "maxDelta": 0.11624510789306441,
            "spanDelta": 5.684341886080802e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 5.627498467219989e-12,
            "error": 11.624510789305248,
            "geometricBound": 11.731851097234125,
            "residualBound": 11.62451078930643,
            "lower": [
              225.50143266475175,
              229.79942693409268
            ],
            "upper": [
              225.50143266475743,
              229.79942693409836
            ],
            "policyLower": [
              225.50143266475175,
              229.79942693409274
            ],
            "optimalUpper": [
              225.50143266475737,
              229.79942693409836
            ],
            "certifiedStop": false,
            "shifted": [
              215.15323610018132,
              219.45123036952225
            ],
            "shiftDifference": [
              1.2763142247303279,
              1.2763142247303279
            ],
            "shiftExpected": 1.2763142247302726,
            "shiftDefect": [
              5.5289106626332796e-14,
              5.5289106626332796e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10348196564569889,
              0.10348196564575574
            ],
            "approximate": [
              223.36639618555847,
              227.66439045489946
            ],
            "approximateTV": [
              223.38774655035047,
              227.68574081969143
            ],
            "approximateDelta": [
              0.021350364791999255,
              0.021350364791970833
            ],
            "approximateResidual": 0.021350364791999255,
            "approximateError": 2.135036479197737,
            "approximateBound": 21.221325407342007,
            "pathDistance": 9.48947431010754,
            "pathBound": 9.489474310107882,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12135036479199357
          },
          {
            "k": 297,
            "value": [
              213.993166983344,
              218.291161252685
            ],
            "q": [
              [
                212.85323531351057,
                214.10824964015814
              ],
              [
                218.40624390949912,
                213.85323531351057
              ]
            ],
            "tv": [
              214.10824964015814,
              218.40624390949912
            ],
            "delta": [
              0.11508265681413832,
              0.11508265681413832
            ],
            "residual": 0.11508265681413832,
            "minDelta": 0.11508265681413832,
            "maxDelta": 0.11508265681413832,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 11.508265681412212,
            "geometricBound": 11.614532586261785,
            "residualBound": 11.508265681413821,
            "lower": [
              225.50143266475783,
              229.79942693409882
            ],
            "upper": [
              225.50143266475783,
              229.79942693409882
            ],
            "policyLower": [
              225.50143266475783,
              229.79942693409882
            ],
            "optimalUpper": [
              225.50143266475783,
              229.79942693409882
            ],
            "certifiedStop": false,
            "shifted": [
              215.25671806582702,
              219.554712335168
            ],
            "shiftDifference": [
              1.2635510824830192,
              1.2635510824830192
            ],
            "shiftExpected": 1.2635510824829699,
            "shiftDefect": [
              4.929390229335695e-14,
              4.929390229335695e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10244714598931637,
              0.10244714598928795
            ],
            "approximate": [
              223.48774655035047,
              227.78574081969143
            ],
            "approximateTV": [
              223.5078834114945,
              227.80587768083547
            ],
            "approximateDelta": [
              0.020136861144038676,
              0.020136861144038676
            ],
            "approximateResidual": 0.020136861144038676,
            "approximateError": 2.0136861144057434,
            "approximateBound": 21.10911215326859,
            "pathDistance": 9.494579567006468,
            "pathBound": 9.494579567006804,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12013686114403299
          },
          {
            "k": 298,
            "value": [
              214.10824964015814,
              218.40624390949912
            ],
            "q": [
              [
                212.96716714375654,
                214.22218147040414
              ],
              [
                218.5201757397451,
                213.96716714375654
              ]
            ],
            "tv": [
              214.22218147040414,
              218.5201757397451
            ],
            "delta": [
              0.11393183024600262,
              0.1139318302459742
            ],
            "residual": 0.11393183024600262,
            "minDelta": 0.1139318302459742,
            "maxDelta": 0.11393183024600262,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 11.393183024598073,
            "geometricBound": 11.498387260399166,
            "residualBound": 11.393183024600251,
            "lower": [
              225.50143266475555,
              229.79942693409654
            ],
            "upper": [
              225.5014326647584,
              229.7994269340994
            ],
            "policyLower": [
              225.50143266475558,
              229.79942693409654
            ],
            "optimalUpper": [
              225.5014326647584,
              229.79942693409936
            ],
            "certifiedStop": false,
            "shifted": [
              215.35916521181633,
              219.6571594811573
            ],
            "shiftDifference": [
              1.2509155716581972,
              1.2509155716581688
            ],
            "shiftExpected": 1.2509155716581402,
            "shiftDefect": [
              5.706546346573305e-14,
              2.864375403532904e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10142267452937404,
              0.10142267452940246
            ],
            "approximate": [
              223.6078834114945,
              227.90587768083546
            ],
            "approximateTV": [
              223.6268189040271,
              227.92481317336808
            ],
            "approximateDelta": [
              0.018935492532591525,
              0.018935492532619946
            ],
            "approximateResidual": 0.018935492532619946,
            "approximateError": 1.8935492532617104,
            "approximateBound": 20.998021031735902,
            "pathDistance": 9.499633771336363,
            "pathBound": 9.499633771336736,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.11893549253261426
          },
          {
            "k": 299,
            "value": [
              214.22218147040414,
              218.5201757397451
            ],
            "q": [
              [
                213.0799596557001,
                214.33497398234763
              ],
              [
                218.6329682516886,
                214.0799596557001
              ]
            ],
            "tv": [
              214.33497398234763,
              218.6329682516886
            ],
            "delta": [
              0.11279251194349627,
              0.11279251194349627
            ],
            "residual": 0.11279251194349627,
            "minDelta": 0.11279251194349627,
            "maxDelta": 0.11279251194349627,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 0,
            "error": 11.27925119435207,
            "geometricBound": 11.383403387795175,
            "residualBound": 11.279251194349616,
            "lower": [
              225.50143266475376,
              229.79942693409473
            ],
            "upper": [
              225.50143266475376,
              229.79942693409473
            ],
            "policyLower": [
              225.50143266475376,
              229.79942693409473
            ],
            "optimalUpper": [
              225.50143266475376,
              229.79942693409473
            ],
            "certifiedStop": false,
            "shifted": [
              215.4605878863457,
              219.7585821556867
            ],
            "shiftDifference": [
              1.2384064159415686,
              1.238406415941597
            ],
            "shiftExpected": 1.2384064159415586,
            "shiftDefect": [
              9.992007221626409e-15,
              3.8413716652030416e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10040844778413316,
              0.10040844778407632
            ],
            "approximate": [
              223.72681890402708,
              228.02481317336807
            ],
            "approximateTV": [
              223.7445650416344,
              228.04255931097538
            ],
            "approximateDelta": [
              0.017746137607304036,
              0.017746137607304036
            ],
            "approximateResidual": 0.017746137607304036,
            "approximateError": 1.7746137607291246,
            "approximateBound": 20.888040821418542,
            "pathDistance": 9.504637433622975,
            "pathBound": 9.504637433623369,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.11774613760729835
          },
          {
            "k": 300,
            "value": [
              214.33497398234763,
              218.6329682516886
            ],
            "q": [
              [
                213.19162424252414,
                214.4466385691717
              ],
              [
                218.7446328385127,
                214.19162424252414
              ]
            ],
            "tv": [
              214.4466385691717,
              218.7446328385127
            ],
            "delta": [
              0.11166458682407665,
              0.11166458682410507
            ],
            "residual": 0.11166458682410507,
            "minDelta": 0.11166458682407665,
            "maxDelta": 0.11166458682410507,
            "spanDelta": 2.842170943040401e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              225.50143266475598,
              229.79942693409697
            ],
            "policyLoss": 2.2737367544323206e-13,
            "policyBound": 2.8137492336099943e-12,
            "error": 11.166458682408575,
            "geometricBound": 11.269569353917221,
            "residualBound": 11.166458682410497,
            "lower": [
              225.5014326647553,
              229.79942693409626
            ],
            "upper": [
              225.50143266475814,
              229.7994269340991
            ],
            "policyLower": [
              225.5014326647553,
              229.7994269340963
            ],
            "optimalUpper": [
              225.5014326647581,
              229.7994269340991
            ],
            "certifiedStop": false,
            "shifted": [
              215.56099633412984,
              219.85899060347077
            ],
            "shiftDifference": [
              1.2260223517822055,
              1.2260223517821771
            ],
            "shiftExpected": 1.2260223517821431,
            "shiftDefect": [
              6.23945339839338e-14,
              3.397282455352979e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.0994043633062347,
              0.09940436330626312
            ],
            "approximate": [
              223.84456504163438,
              228.14255931097537
            ],
            "approximateTV": [
              223.8611337178656,
              228.15912798720657
            ],
            "approximateDelta": [
              0.016568676231230484,
              0.016568676231202062
            ],
            "approximateResidual": 0.016568676231230484,
            "approximateError": 1.6568676231218262,
            "approximateBound": 20.779160413204355,
            "pathDistance": 9.509591059286777,
            "pathBound": 9.509591059287134,
            "updateNoise": null,
            "actualNextChange": null
          }
        ],
        "scan": [
          {
            "gamma": 0,
            "value": [
              1,
              4
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 3,
            "horizon": 1
          },
          {
            "gamma": 0.01,
            "value": [
              1.0101010101010102,
              4.028209662012478
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9698189134808857,
            "horizon": 1.0101010101010102
          },
          {
            "gamma": 0.02,
            "value": [
              1.0204081632653061,
              4.056845410228869
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9392712550607287,
            "horizon": 1.0204081632653061
          },
          {
            "gamma": 0.03,
            "value": [
              1.0309278350515465,
              4.085917651752157
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9083503054989817,
            "horizon": 1.0309278350515465
          },
          {
            "gamma": 0.04,
            "value": [
              1.0416666666666667,
              4.115437158469946
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8770491803278686,
            "horizon": 1.0416666666666667
          },
          {
            "gamma": 0.05,
            "value": [
              1.0526315789473684,
              4.145415084102008
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8453608247422677,
            "horizon": 1.0526315789473684
          },
          {
            "gamma": 0.06,
            "value": [
              1.0638297872340425,
              4.175862982254789
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.813278008298755,
            "horizon": 1.0638297872340425
          },
          {
            "gamma": 0.07,
            "value": [
              1.0752688172043012,
              4.206792825555032
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.780793319415449,
            "horizon": 1.0752688172043012
          },
          {
            "gamma": 0.08,
            "value": [
              1.0869565217391304,
              4.238217025940811
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.7478991596638656,
            "horizon": 1.0869565217391304
          },
          {
            "gamma": 0.09,
            "value": [
              1.0989010989010988,
              4.270148456194968
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.714587737843552,
            "horizon": 1.0989010989010988
          },
          {
            "gamma": 0.1,
            "value": [
              1.1111111111111112,
              4.302600472813239
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6808510638297873,
            "horizon": 1.1111111111111112
          },
          {
            "gamma": 0.11,
            "value": [
              1.1235955056179776,
              4.335586940307485
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.646680942184154,
            "horizon": 1.1235955056179776
          },
          {
            "gamma": 0.12,
            "value": [
              1.1363636363636365,
              4.3691222570532915
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6120689655172415,
            "horizon": 1.1363636363636365
          },
          {
            "gamma": 0.13,
            "value": [
              1.1494252873563218,
              4.403221382801007
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.577006507592191,
            "horizon": 1.1494252873563218
          },
          {
            "gamma": 0.14,
            "value": [
              1.1627906976744187,
              4.437899867980095
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.541484716157205,
            "horizon": 1.1627906976744187
          },
          {
            "gamma": 0.15,
            "value": [
              1.1764705882352942,
              4.47317388493859
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.5054945054945055,
            "horizon": 1.1764705882352942
          },
          {
            "gamma": 0.16,
            "value": [
              1.1904761904761905,
              4.5090602612726505
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.4690265486725664,
            "horizon": 1.1904761904761905
          },
          {
            "gamma": 0.17,
            "value": [
              1.2048192771084338,
              4.5455765154157834
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.432071269487751,
            "horizon": 1.2048192771084338
          },
          {
            "gamma": 0.18,
            "value": [
              1.2195121951219512,
              4.58274089467352
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3946188340807177,
            "horizon": 1.2195121951219512
          },
          {
            "gamma": 0.19,
            "value": [
              1.2345679012345678,
              4.6205724159072545
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.356659142212189,
            "horizon": 1.2345679012345678
          },
          {
            "gamma": 0.2,
            "value": [
              1.25,
              4.659090909090908
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3181818181818183,
            "horizon": 1.25
          },
          {
            "gamma": 0.21,
            "value": [
              1.2658227848101264,
              4.698317063986328
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.279176201372998,
            "horizon": 1.2658227848101264
          },
          {
            "gamma": 0.22,
            "value": [
              1.282051282051282,
              4.738272480207963
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.2396313364055302,
            "horizon": 1.282051282051282
          },
          {
            "gamma": 0.23,
            "value": [
              1.2987012987012987,
              4.77897972097508
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.19953596287703,
            "horizon": 1.2987012987012987
          },
          {
            "gamma": 0.24,
            "value": [
              1.3157894736842106,
              4.820462370880473
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.158878504672897,
            "horizon": 1.3157894736842106
          },
          {
            "gamma": 0.25,
            "value": [
              1.3333333333333333,
              4.862745098039216
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.117647058823529,
            "horizon": 1.3333333333333333
          },
          {
            "gamma": 0.26,
            "value": [
              1.3513513513513513,
              4.905853721019598
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.075829383886256,
            "horizon": 1.3513513513513513
          },
          {
            "gamma": 0.27,
            "value": [
              1.36986301369863,
              4.949815281001733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.0334128878281623,
            "horizon": 1.36986301369863
          },
          {
            "gamma": 0.28,
            "value": [
              1.3888888888888888,
              4.99465811965812
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.990384615384615,
            "horizon": 1.3888888888888888
          },
          {
            "gamma": 0.29,
            "value": [
              1.4084507042253522,
              5.040411963305255
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.9467312348668282,
            "horizon": 1.4084507042253522
          },
          {
            "gamma": 0.3,
            "value": [
              1.4285714285714286,
              5.087108013937282
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.902439024390244,
            "horizon": 1.4285714285714286
          },
          {
            "gamma": 0.31,
            "value": [
              1.4492753623188408,
              5.134779047822526
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.8574938574938573,
            "horizon": 1.4492753623188408
          },
          {
            "gamma": 0.32,
            "value": [
              1.4705882352941178,
              5.18345952242283
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.811881188118812,
            "horizon": 1.4705882352941178
          },
          {
            "gamma": 0.33,
            "value": [
              1.492537313432836,
              5.233185692485204
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7655860349127186,
            "horizon": 1.492537313432836
          },
          {
            "gamma": 0.34,
            "value": [
              1.5151515151515154,
              5.283995736257043
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7185929648241205,
            "horizon": 1.5151515151515154
          },
          {
            "gamma": 0.35,
            "value": [
              1.5384615384615383,
              5.335929892891918
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.6708860759493671,
            "horizon": 1.5384615384615383
          },
          {
            "gamma": 0.36,
            "value": [
              1.5625,
              5.389030612244897
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.622448979591837,
            "horizon": 1.5625
          },
          {
            "gamma": 0.37,
            "value": [
              1.5873015873015872,
              5.443342718406986
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5732647814910024,
            "horizon": 1.5873015873015872
          },
          {
            "gamma": 0.38,
            "value": [
              1.6129032258064517,
              5.498913588500752
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5233160621761659,
            "horizon": 1.6129032258064517
          },
          {
            "gamma": 0.39,
            "value": [
              1.639344262295082,
              5.555793348456962
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4725848563968666,
            "horizon": 1.639344262295082
          },
          {
            "gamma": 0.4,
            "value": [
              1.6666666666666667,
              5.614035087719298
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4210526315789476,
            "horizon": 1.6666666666666667
          },
          {
            "gamma": 0.41,
            "value": [
              1.6949152542372878,
              5.673695095086094
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3687002652519897,
            "horizon": 1.6949152542372878
          },
          {
            "gamma": 0.42,
            "value": [
              1.7241379310344827,
              5.7348331182002585
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3155080213903743,
            "horizon": 1.7241379310344827
          },
          {
            "gamma": 0.43,
            "value": [
              1.7543859649122806,
              5.797512649548399
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.261455525606469,
            "horizon": 1.7543859649122806
          },
          {
            "gamma": 0.44,
            "value": [
              1.7857142857142856,
              5.861801242236025
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.2065217391304346,
            "horizon": 1.7857142857142856
          },
          {
            "gamma": 0.45,
            "value": [
              1.8181818181818181,
              5.927770859277708
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.1506849315068493,
            "horizon": 1.8181818181818181
          },
          {
            "gamma": 0.46,
            "value": [
              1.8518518518518516,
              5.995498260691631
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.0939226519337009,
            "horizon": 1.8518518518518516
          },
          {
            "gamma": 0.47,
            "value": [
              1.8867924528301885,
              6.065065433331582
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.036211699164345,
            "horizon": 1.8867924528301885
          },
          {
            "gamma": 0.48,
            "value": [
              1.923076923076923,
              6.136560069144339
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.97752808988764,
            "horizon": 1.923076923076923
          },
          {
            "gamma": 0.49,
            "value": [
              1.9607843137254901,
              6.210076098428041
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.9178470254957503,
            "horizon": 1.9607843137254901
          },
          {
            "gamma": 0.5,
            "value": [
              2,
              6.2857142857142865
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.8571428571428568,
            "horizon": 2
          },
          {
            "gamma": 0.51,
            "value": [
              2.0408163265306123,
              6.3635828971357995
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7953890489913547,
            "horizon": 2.0408163265306123
          },
          {
            "gamma": 0.52,
            "value": [
              2.0833333333333335,
              6.443798449612404
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7325581395348832,
            "horizon": 2.0833333333333335
          },
          {
            "gamma": 0.53,
            "value": [
              2.127659574468085,
              6.526486553940226
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6686217008797648,
            "horizon": 2.127659574468085
          },
          {
            "gamma": 0.54,
            "value": [
              2.173913043478261,
              6.611782865963469
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6035502958579877,
            "horizon": 2.173913043478261
          },
          {
            "gamma": 0.55,
            "value": [
              2.2222222222222223,
              6.69983416252073
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.5373134328358202,
            "horizon": 2.2222222222222223
          },
          {
            "gamma": 0.56,
            "value": [
              2.272727272727273,
              6.790799561883901
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.4698795180722879,
            "horizon": 2.272727272727273
          },
          {
            "gamma": 0.57,
            "value": [
              2.325581395348837,
              6.8848519120661615
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.401215805471125,
            "horizon": 2.325581395348837
          },
          {
            "gamma": 0.58,
            "value": [
              2.380952380952381,
              6.982179374817411
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.3312883435582825,
            "horizon": 2.380952380952381
          },
          {
            "gamma": 0.59,
            "value": [
              2.4390243902439024,
              7.082987238541115
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.26006191950464475,
            "horizon": 2.4390243902439024
          },
          {
            "gamma": 0.6,
            "value": [
              2.5,
              7.187499999999999
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.1875000000000009,
            "horizon": 2.5
          },
          {
            "gamma": 0.61,
            "value": [
              2.564102564102564,
              7.295963762840733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.11356466876971627,
            "horizon": 2.564102564102564
          },
          {
            "gamma": 0.62,
            "value": [
              2.6315789473684212,
              7.408649011062689
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.03821656050955369,
            "horizon": 2.6315789473684212
          },
          {
            "gamma": 0.625,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policy": [
              0,
              0
            ],
            "campTie": true,
            "campGap": -4.440892098500626e-16,
            "horizon": 2.6666666666666665
          },
          {
            "gamma": 0.63,
            "value": [
              2.754511700198601,
              7.546843968569209
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0191693290734829,
            "horizon": 2.7027027027027026
          },
          {
            "gamma": 0.64,
            "value": [
              2.937013446567587,
              7.714083510261855
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.05732484076433142,
            "horizon": 2.7777777777777777
          },
          {
            "gamma": 0.65,
            "value": [
              3.129251700680274,
              7.891156462585035
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0952380952380949,
            "horizon": 2.857142857142857
          },
          {
            "gamma": 0.66,
            "value": [
              3.3320923306031274,
              8.078927773641102
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1329113924050631,
            "horizon": 2.9411764705882355
          },
          {
            "gamma": 0.67,
            "value": [
              3.5465060701653774,
              8.278367268903548
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1703470031545744,
            "horizon": 3.0303030303030307
          },
          {
            "gamma": 0.68,
            "value": [
              3.773584905660378,
              8.490566037735851
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.20754716981132226,
            "horizon": 3.1250000000000004
          },
          {
            "gamma": 0.69,
            "value": [
              4.014561634138941,
              8.716755991505714
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2445141065830727,
            "horizon": 3.2258064516129026
          },
          {
            "gamma": 0.7,
            "value": [
              4.270833333333332,
              8.95833333333333
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2812499999999991,
            "horizon": 3.333333333333333
          },
          {
            "gamma": 0.71,
            "value": [
              4.543989687399291,
              9.216886883660973
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.31775700934579376,
            "horizon": 3.4482758620689653
          },
          {
            "gamma": 0.72,
            "value": [
              4.835847382431233,
              9.494232475598935
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.354037267080745,
            "horizon": 3.571428571428571
          },
          {
            "gamma": 0.73,
            "value": [
              5.14849214539617,
              9.792454993693381
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.39009287925696423,
            "horizon": 3.7037037037037033
          },
          {
            "gamma": 0.74,
            "value": [
              5.484330484330483,
              10.113960113960113
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.4259259259259256,
            "horizon": 3.846153846153846
          },
          {
            "gamma": 0.75,
            "value": [
              5.846153846153846,
              10.461538461538462
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.46153846153846256,
            "horizon": 4
          },
          {
            "gamma": 0.76,
            "value": [
              6.237218813905932,
              10.838445807770963
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.49693251533742266,
            "horizon": 4.166666666666667
          },
          {
            "gamma": 0.77,
            "value": [
              6.661348224970084,
              11.248504188272838
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.532110091743121,
            "horizon": 4.347826086956522
          },
          {
            "gamma": 0.78,
            "value": [
              7.123059866962307,
              11.696230598669622
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.5670731707317067,
            "horizon": 4.545454545454546
          },
          {
            "gamma": 0.79,
            "value": [
              7.6277319438413675,
              12.187002460558695
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6018237082066893,
            "horizon": 4.761904761904763
          },
          {
            "gamma": 0.8,
            "value": [
              8.181818181818185,
              12.727272727272732
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6363636363636385,
            "horizon": 5.000000000000001
          },
          {
            "gamma": 0.81,
            "value": [
              8.793130863412312,
              13.324852917792974
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6706948640483379,
            "horizon": 5.263157894736843
          },
          {
            "gamma": 0.82,
            "value": [
              9.471218206157964,
              13.989290495314588
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7048192771084327,
            "horizon": 5.5555555555555545
          },
          {
            "gamma": 0.83,
            "value": [
              10.227874933757283,
              14.732379438261788
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7387387387387392,
            "horizon": 5.882352941176469
          },
          {
            "gamma": 0.84,
            "value": [
              11.077844311377243,
              15.5688622754491
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7724550898203599,
            "horizon": 6.249999999999999
          },
          {
            "gamma": 0.85,
            "value": [
              12.039800995024873,
              16.51741293532338
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8059701492537332,
            "horizon": 6.666666666666666
          },
          {
            "gamma": 0.86,
            "value": [
              13.137755102040815,
              17.60204081632653
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8392857142857135,
            "horizon": 7.142857142857142
          },
          {
            "gamma": 0.87,
            "value": [
              14.403104314083542,
              18.854142889751195
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8724035608308576,
            "horizon": 7.692307692307692
          },
          {
            "gamma": 0.88,
            "value": [
              15.877712031558186,
              20.315581854043394
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9053254437869818,
            "horizon": 8.333333333333334
          },
          {
            "gamma": 0.89,
            "value": [
              17.618664521319392,
              22.04344328238134
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9380530973451329,
            "horizon": 9.090909090909092
          },
          {
            "gamma": 0.9,
            "value": [
              19.705882352941185,
              24.117647058823533
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.970588235294116,
            "horizon": 10.000000000000002
          },
          {
            "gamma": 0.91,
            "value": [
              22.254806125773875,
              26.653633105246016
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.002932551319649,
            "horizon": 11.111111111111114
          },
          {
            "gamma": 0.92,
            "value": [
              25.438596491228086,
              29.82456140350879
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0350877192982466,
            "horizon": 12.500000000000007
          },
          {
            "gamma": 0.93,
            "value": [
              29.52936276551439,
              33.90254060807999
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0670553935860099,
            "horizon": 14.285714285714295
          },
          {
            "gamma": 0.94,
            "value": [
              34.98062015503873,
              39.3410852713178
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0988372093023244,
            "horizon": 16.666666666666654
          },
          {
            "gamma": 0.95,
            "value": [
              42.60869565217387,
              46.95652173913039
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1304347826086882,
            "horizon": 19.999999999999982
          },
          {
            "gamma": 0.96,
            "value": [
              54.04624277456642,
              58.38150289017335
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1618497109826507,
            "horizon": 24.99999999999998
          },
          {
            "gamma": 0.97,
            "value": [
              73.102785782901,
              77.42555235350619
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1930835734870442,
            "horizon": 33.33333333333331
          },
          {
            "gamma": 0.98,
            "value": [
              111.20689655172404,
              115.51724137931022
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2241379310344485,
            "horizon": 49.99999999999996
          },
          {
            "gamma": 0.99,
            "value": [
              225.5014326647562,
              229.79942693409717
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2550143266475686,
            "horizon": 99.99999999999991
          },
          {
            "gamma": 1,
            "value": null,
            "policy": null,
            "campTie": false,
            "campGap": null,
            "horizon": null
          }
        ],
        "scope": "已知有限模型的确定性演示。数学界在实数算术下成立；此处为普通双精度读数，未做向外舍入区间认证。γ=1仅报告有限轮，不给无限时域价值或收敛证书。并列时确定性选第一动作，原始动作差保留。"
      }
    },
    {
      "key": "tie",
      "data": {
        "version": 178,
        "parameters": {
          "gamma": 0.625,
          "steps": 40,
          "camp": 0,
          "mine": 0,
          "shift": 25,
          "epsilon": 0.1,
          "pattern": "bias",
          "tolerance": 0.05
        },
        "model": [
          [
            {
              "name": "采集",
              "r": 1,
              "p": [
                1,
                0
              ]
            },
            {
              "name": "远行",
              "r": -2,
              "p": [
                0,
                1
              ]
            }
          ],
          [
            {
              "name": "收获",
              "r": 4,
              "p": [
                0.4,
                0.6
              ]
            },
            {
              "name": "返回",
              "r": 2,
              "p": [
                1,
                0
              ]
            }
          ]
        ],
        "star": [
          2.6666666666666665,
          7.466666666666667
        ],
        "initialError": 7.466666666666667,
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "matrix": [
              [
                0.375,
                0
              ],
              [
                -0.25,
                0.625
              ]
            ],
            "det": 0.234375,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "q": [
              [
                2.6666666666666665,
                2.666666666666667
              ],
              [
                7.466666666666667,
                3.6666666666666665
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              4.440892098500626e-16,
              0
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "matrix": [
              [
                0.375,
                0
              ],
              [
                -0.625,
                1
              ]
            ],
            "det": 0.375,
            "value": [
              2.6666666666666665,
              3.6666666666666665
            ],
            "q": [
              [
                2.6666666666666665,
                0.2916666666666665
              ],
              [
                6.041666666666666,
                3.6666666666666665
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              2.3749999999999996
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "matrix": [
              [
                1,
                -0.625
              ],
              [
                -0.25,
                0.625
              ]
            ],
            "det": 0.46875,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "q": [
              [
                2.6666666666666665,
                2.666666666666667
              ],
              [
                7.466666666666667,
                3.6666666666666665
              ]
            ],
            "residual": [
              4.440892098500626e-16,
              0
            ],
            "gaps": [
              0,
              0
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "matrix": [
              [
                1,
                -0.625
              ],
              [
                -0.625,
                1
              ]
            ],
            "det": 0.609375,
            "value": [
              -1.2307692307692308,
              1.2307692307692308
            ],
            "q": [
              [
                0.23076923076923073,
                -1.2307692307692308
              ],
              [
                4.153846153846154,
                1.2307692307692308
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              1.4615384615384617,
              2.9230769230769234
            ]
          }
        ],
        "rows": [
          {
            "k": 0,
            "value": [
              0,
              0
            ],
            "q": [
              [
                1,
                -2
              ],
              [
                4,
                2
              ]
            ],
            "tv": [
              1,
              4
            ],
            "delta": [
              1,
              4
            ],
            "residual": 4,
            "minDelta": 1,
            "maxDelta": 4,
            "spanDelta": 3,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 5,
            "error": 7.466666666666667,
            "geometricBound": 7.466666666666667,
            "residualBound": 10.666666666666666,
            "lower": [
              2.6666666666666665,
              2.6666666666666665
            ],
            "upper": [
              10.666666666666666,
              10.666666666666666
            ],
            "policyLower": [
              2.666666666666667,
              5.666666666666667
            ],
            "optimalUpper": [
              7.666666666666667,
              10.666666666666668
            ],
            "certifiedStop": false,
            "shifted": [
              25,
              25
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -8.375,
              -5.375
            ],
            "approximate": [
              0,
              0
            ],
            "approximateTV": [
              1,
              4
            ],
            "approximateDelta": [
              1,
              4
            ],
            "approximateResidual": 4,
            "approximateError": 7.466666666666667,
            "approximateBound": 7.466666666666667,
            "pathDistance": 0,
            "pathBound": 0,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 4.1
          },
          {
            "k": 1,
            "value": [
              1,
              4
            ],
            "q": [
              [
                1.625,
                0.5
              ],
              [
                5.75,
                2.625
              ]
            ],
            "tv": [
              1.625,
              5.75
            ],
            "delta": [
              0.625,
              1.75
            ],
            "residual": 1.75,
            "minDelta": 0.625,
            "maxDelta": 1.75,
            "spanDelta": 1.125,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.875,
            "error": 3.466666666666667,
            "geometricBound": 4.666666666666667,
            "residualBound": 4.666666666666667,
            "lower": [
              2.666666666666667,
              5.666666666666667
            ],
            "upper": [
              5.666666666666667,
              8.666666666666668
            ],
            "policyLower": [
              2.666666666666667,
              6.791666666666667
            ],
            "optimalUpper": [
              4.541666666666666,
              8.666666666666666
            ],
            "certifiedStop": false,
            "shifted": [
              16.625,
              19.625
            ],
            "shiftDifference": [
              15.625,
              15.625
            ],
            "shiftExpected": 15.625,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -5.234375,
              -4.109375
            ],
            "approximate": [
              1.1,
              4.1
            ],
            "approximateTV": [
              1.6875,
              5.8125
            ],
            "approximateDelta": [
              0.5874999999999999,
              1.7125000000000004
            ],
            "approximateResidual": 1.7125000000000004,
            "approximateError": 3.366666666666667,
            "approximateBound": 4.766666666666667,
            "pathDistance": 0.10000000000000009,
            "pathBound": 0.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.8125
          },
          {
            "k": 2,
            "value": [
              1.625,
              5.75
            ],
            "q": [
              [
                2.015625,
                1.59375
              ],
              [
                6.5625,
                3.015625
              ]
            ],
            "tv": [
              2.015625,
              6.5625
            ],
            "delta": [
              0.390625,
              0.8125
            ],
            "residual": 0.8125,
            "minDelta": 0.390625,
            "maxDelta": 0.8125,
            "spanDelta": 0.421875,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.703125,
            "error": 1.7166666666666668,
            "geometricBound": 2.9166666666666665,
            "residualBound": 2.1666666666666665,
            "lower": [
              2.666666666666667,
              6.791666666666667
            ],
            "upper": [
              3.7916666666666665,
              7.916666666666666
            ],
            "policyLower": [
              2.6666666666666665,
              7.213541666666667
            ],
            "optimalUpper": [
              3.369791666666667,
              7.916666666666667
            ],
            "certifiedStop": false,
            "shifted": [
              11.390625,
              15.515625
            ],
            "shiftDifference": [
              9.765625,
              9.765625
            ],
            "shiftExpected": 9.765625,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -3.271484375,
              -2.849609375
            ],
            "approximate": [
              1.7875,
              5.9125
            ],
            "approximateTV": [
              2.1171875,
              6.6640625
            ],
            "approximateDelta": [
              0.3296874999999999,
              0.7515625000000004
            ],
            "approximateResidual": 0.7515625000000004,
            "approximateError": 1.5541666666666671,
            "approximateBound": 3.0791666666666666,
            "pathDistance": 0.1625000000000001,
            "pathBound": 0.1625,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.8515625
          },
          {
            "k": 3,
            "value": [
              2.015625,
              6.5625
            ],
            "q": [
              [
                2.259765625,
                2.1015625
              ],
              [
                6.96484375,
                3.259765625
              ]
            ],
            "tv": [
              2.259765625,
              6.96484375
            ],
            "delta": [
              0.244140625,
              0.40234375
            ],
            "residual": 0.40234375,
            "minDelta": 0.244140625,
            "maxDelta": 0.40234375,
            "spanDelta": 0.158203125,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.263671875,
            "error": 0.9041666666666668,
            "geometricBound": 1.8229166666666667,
            "residualBound": 1.0729166666666667,
            "lower": [
              2.6666666666666665,
              7.213541666666667
            ],
            "upper": [
              3.088541666666667,
              7.635416666666667
            ],
            "policyLower": [
              2.6666666666666665,
              7.371744791666667
            ],
            "optimalUpper": [
              2.9303385416666665,
              7.635416666666667
            ],
            "certifiedStop": false,
            "shifted": [
              8.119140625,
              12.666015625
            ],
            "shiftDifference": [
              6.103515625,
              6.103515625
            ],
            "shiftExpected": 6.103515625,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -2.044677734375,
              -1.886474609375
            ],
            "approximate": [
              2.2171875,
              6.7640625
            ],
            "approximateTV": [
              2.3857421875,
              7.0908203125
            ],
            "approximateDelta": [
              0.1685546874999999,
              0.32675781250000036
            ],
            "approximateResidual": 0.32675781250000036,
            "approximateError": 0.7026041666666671,
            "approximateBound": 2.0244791666666666,
            "pathDistance": 0.2015625000000001,
            "pathBound": 0.2015625,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4267578125
          },
          {
            "k": 4,
            "value": [
              2.259765625,
              6.96484375
            ],
            "q": [
              [
                2.412353515625,
                2.35302734375
              ],
              [
                7.1767578125,
                3.412353515625
              ]
            ],
            "tv": [
              2.412353515625,
              7.1767578125
            ],
            "delta": [
              0.152587890625,
              0.2119140625
            ],
            "residual": 0.2119140625,
            "minDelta": 0.152587890625,
            "maxDelta": 0.2119140625,
            "spanDelta": 0.059326171875,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.098876953125,
            "error": 0.5018229166666668,
            "geometricBound": 1.1393229166666667,
            "residualBound": 0.5651041666666666,
            "lower": [
              2.6666666666666665,
              7.371744791666667
            ],
            "upper": [
              2.8248697916666665,
              7.529947916666667
            ],
            "policyLower": [
              2.6666666666666665,
              7.431070963541667
            ],
            "optimalUpper": [
              2.7655436197916665,
              7.529947916666667
            ],
            "certifiedStop": false,
            "shifted": [
              6.074462890625,
              10.779541015625
            ],
            "shiftDifference": [
              3.814697265625,
              3.814697265625
            ],
            "shiftExpected": 3.814697265625,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -1.277923583984375,
              -1.218597412109375
            ],
            "approximate": [
              2.4857421875,
              7.1908203125
            ],
            "approximateTV": [
              2.5535888671875,
              7.3179931640625
            ],
            "approximateDelta": [
              0.06784667968749991,
              0.12717285156250036
            ],
            "approximateResidual": 0.12717285156250036,
            "approximateError": 0.27584635416666714,
            "approximateBound": 1.3652994791666668,
            "pathDistance": 0.2259765625000001,
            "pathBound": 0.2259765625,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.2271728515625
          },
          {
            "k": 5,
            "value": [
              2.412353515625,
              7.1767578125
            ],
            "q": [
              [
                2.507720947265625,
                2.4854736328125
              ],
              [
                7.29437255859375,
                3.507720947265625
              ]
            ],
            "tv": [
              2.507720947265625,
              7.29437255859375
            ],
            "delta": [
              0.095367431640625,
              0.11761474609375
            ],
            "residual": 0.11761474609375,
            "minDelta": 0.095367431640625,
            "maxDelta": 0.11761474609375,
            "spanDelta": 0.022247314453125,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.037078857421875,
            "error": 0.2899088541666668,
            "geometricBound": 0.7120768229166666,
            "residualBound": 0.3136393229166667,
            "lower": [
              2.6666666666666665,
              7.431070963541667
            ],
            "upper": [
              2.7259928385416665,
              7.490397135416667
            ],
            "policyLower": [
              2.6666666666666665,
              7.453318277994792
            ],
            "optimalUpper": [
              2.7037455240885415,
              7.490397135416667
            ],
            "certifiedStop": false,
            "shifted": [
              4.796539306640625,
              9.560943603515625
            ],
            "shiftDifference": [
              2.384185791015625,
              2.384185791015625
            ],
            "shiftExpected": 2.384185791015625,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.7987022399902344,
              -0.7764549255371094
            ],
            "approximate": [
              2.6535888671875,
              7.4179931640625
            ],
            "approximateTV": [
              2.6584930419921875,
              7.4451446533203125
            ],
            "approximateDelta": [
              0.004904174804687411,
              0.027151489257812855
            ],
            "approximateResidual": 0.027151489257812855,
            "approximateError": 0.04867350260416714,
            "approximateBound": 0.9533121744791666,
            "pathDistance": 0.2412353515625001,
            "pathBound": 0.2412353515625,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1271514892578125
          },
          {
            "k": 6,
            "value": [
              2.507720947265625,
              7.29437255859375
            ],
            "q": [
              [
                2.5673255920410156,
                2.5589828491210938
              ],
              [
                7.3623199462890625,
                3.5673255920410156
              ]
            ],
            "tv": [
              2.5673255920410156,
              7.3623199462890625
            ],
            "delta": [
              0.059604644775390625,
              0.0679473876953125
            ],
            "residual": 0.0679473876953125,
            "minDelta": 0.059604644775390625,
            "maxDelta": 0.0679473876953125,
            "spanDelta": 0.008342742919921875,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.013904571533203125,
            "error": 0.17229410807291679,
            "geometricBound": 0.4450480143229167,
            "residualBound": 0.18119303385416666,
            "lower": [
              2.6666666666666665,
              7.453318277994792
            ],
            "upper": [
              2.6889139811197915,
              7.475565592447917
            ],
            "policyLower": [
              2.6666666666666665,
              7.461661020914714
            ],
            "optimalUpper": [
              2.6805712381998696,
              7.475565592447917
            ],
            "certifiedStop": false,
            "shifted": [
              3.9978370666503906,
              8.784488677978516
            ],
            "shiftDifference": [
              1.4901161193847656,
              1.4901161193847656
            ],
            "shiftExpected": 1.4901161193847656,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.4991888999938965,
              -0.4908461570739746
            ],
            "approximate": [
              2.7584930419921876,
              7.545144653320312
            ],
            "approximateTV": [
              2.724058151245117,
              7.519052505493164
            ],
            "approximateDelta": [
              -0.0344348907470704,
              -0.026092147827148082
            ],
            "approximateResidual": 0.0344348907470704,
            "approximateError": 0.09182637532552107,
            "approximateBound": 0.6958201090494792,
            "pathDistance": 0.2507720947265626,
            "pathBound": 0.25077209472656253,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.07390785217285156
          },
          {
            "k": 7,
            "value": [
              2.5673255920410156,
              7.3623199462890625
            ],
            "q": [
              [
                2.6045784950256348,
                2.601449966430664
              ],
              [
                7.402701377868652,
                3.6045784950256348
              ]
            ],
            "tv": [
              2.6045784950256348,
              7.402701377868652
            ],
            "delta": [
              0.03725290298461914,
              0.040381431579589844
            ],
            "residual": 0.040381431579589844,
            "minDelta": 0.03725290298461914,
            "maxDelta": 0.040381431579589844,
            "spanDelta": 0.003128528594970703,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.005214214324951172,
            "error": 0.10434672037760429,
            "geometricBound": 0.27815500895182294,
            "residualBound": 0.10768381754557292,
            "lower": [
              2.6666666666666665,
              7.461661020914714
            ],
            "upper": [
              2.6750094095865884,
              7.470003763834636
            ],
            "policyLower": [
              2.6666666666666665,
              7.4647895495096845
            ],
            "optimalUpper": [
              2.6718808809916177,
              7.470003763834636
            ],
            "certifiedStop": false,
            "shifted": [
              3.498648166656494,
              8.293642520904541
            ],
            "shiftDifference": [
              0.9313225746154785,
              0.9313225746154785
            ],
            "shiftExpected": 0.9313225746154785,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.3119930624961853,
              -0.3088645339012146
            ],
            "approximate": [
              2.8240581512451173,
              7.619052505493164
            ],
            "approximateTV": [
              2.7650363445281982,
              7.563159227371216
            ],
            "approximateDelta": [
              -0.059021806716919034,
              -0.05589327812194789
            ],
            "approximateResidual": 0.059021806716919034,
            "approximateError": 0.15739148457845076,
            "approximateBound": 0.5348875681559245,
            "pathDistance": 0.25673255920410165,
            "pathBound": 0.2567325592041016,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.04410672187805176
          },
          {
            "k": 8,
            "value": [
              2.6045784950256348,
              7.402701377868652
            ],
            "q": [
              [
                2.6278615593910217,
                2.6266883611679077
              ],
              [
                7.427157640457153,
                3.6278615593910217
              ]
            ],
            "tv": [
              2.6278615593910217,
              7.427157640457153
            ],
            "delta": [
              0.023283064365386963,
              0.024456262588500977
            ],
            "residual": 0.024456262588500977,
            "minDelta": 0.023283064365386963,
            "maxDelta": 0.024456262588500977,
            "spanDelta": 0.0011731982231140137,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.0019553303718566895,
            "error": 0.06396528879801444,
            "geometricBound": 0.1738468805948893,
            "residualBound": 0.06521670023600261,
            "lower": [
              2.6666666666666665,
              7.4647895495096845
            ],
            "upper": [
              2.669795195261637,
              7.467918078104655
            ],
            "policyLower": [
              2.6666666666666665,
              7.4659627477327986
            ],
            "optimalUpper": [
              2.668621997038523,
              7.467918078104655
            ],
            "certifiedStop": false,
            "shifted": [
              3.186655104160309,
              7.984777987003326
            ],
            "shiftDifference": [
              0.5820766091346741,
              0.5820766091346741
            ],
            "shiftExpected": 0.5820766091346741,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.19499566406011581,
              -0.1938224658370018
            ],
            "approximate": [
              2.8650363445281983,
              7.6631592273712155
            ],
            "approximateTV": [
              2.790647715330124,
              7.5899437963962555
            ],
            "approximateDelta": [
              -0.07438862919807443,
              -0.07321543097495997
            ],
            "approximateResidual": 0.07438862919807443,
            "approximateError": 0.1983696778615318,
            "approximateBound": 0.43430473009745285,
            "pathDistance": 0.26045784950256357,
            "pathBound": 0.2604578495025635,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.026784569025039673
          },
          {
            "k": 9,
            "value": [
              2.6278615593910217,
              7.427157640457153
            ],
            "q": [
              [
                2.6424134746193886,
                2.641973525285721
              ],
              [
                7.442149505019188,
                3.6424134746193886
              ]
            ],
            "tv": [
              2.6424134746193886,
              7.442149505019188
            ],
            "delta": [
              0.014551915228366852,
              0.014991864562034607
            ],
            "residual": 0.014991864562034607,
            "minDelta": 0.014551915228366852,
            "maxDelta": 0.014991864562034607,
            "spanDelta": 0.0004399493336677551,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.0007332488894462585,
            "error": 0.039509026209513465,
            "geometricBound": 0.10865430037180583,
            "residualBound": 0.03997830549875895,
            "lower": [
              2.6666666666666665,
              7.4659627477327986
            ],
            "upper": [
              2.6678398648897805,
              7.467135945955913
            ],
            "policyLower": [
              2.6666666666666665,
              7.466402697066466
            ],
            "optimalUpper": [
              2.6673999155561128,
              7.467135945955913
            ],
            "certifiedStop": true,
            "shifted": [
              2.991659440100193,
              7.790955521166325
            ],
            "shiftDifference": [
              0.3637978807091713,
              0.3637978807091713
            ],
            "shiftExpected": 0.3637978807091713,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.12187229003757238,
              -0.12143234070390463
            ],
            "approximate": [
              2.890647715330124,
              7.689943796396255
            ],
            "approximateTV": [
              2.8066548220813274,
              7.606390852481127
            ],
            "approximateDelta": [
              -0.08399289324879655,
              -0.08355294391512835
            ],
            "approximateResidual": 0.08399289324879655,
            "approximateError": 0.22398104866345747,
            "approximateBound": 0.37144045631090805,
            "pathDistance": 0.26278615593910226,
            "pathBound": 0.2627861559391022,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.016447056084871292
          },
          {
            "k": 10,
            "value": [
              2.6424134746193886,
              7.442149505019188
            ],
            "q": [
              [
                2.651508421637118,
                2.6513434406369925
              ],
              [
                7.451409433037043,
                3.651508421637118
              ]
            ],
            "tv": [
              2.651508421637118,
              7.451409433037043
            ],
            "delta": [
              0.009094947017729282,
              0.00925992801785469
            ],
            "residual": 0.00925992801785469,
            "minDelta": 0.009094947017729282,
            "maxDelta": 0.00925992801785469,
            "spanDelta": 0.00016498100012540817,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.00027496833354234695,
            "error": 0.024517161647478858,
            "geometricBound": 0.06790893773237865,
            "residualBound": 0.024693141380945843,
            "lower": [
              2.6666666666666665,
              7.466402697066466
            ],
            "upper": [
              2.6671066160003343,
              7.466842646400134
            ],
            "policyLower": [
              2.6666666666666665,
              7.466567678066592
            ],
            "optimalUpper": [
              2.666941635000209,
              7.466842646400134
            ],
            "certifiedStop": true,
            "shifted": [
              2.8697871500626206,
              7.66952318046242
            ],
            "shiftDifference": [
              0.22737367544323206,
              0.22737367544323206
            ],
            "shiftExpected": 0.22737367544323206,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.07617018127348274,
              -0.07600520027335733
            ],
            "approximate": [
              2.9066548220813275,
              7.706390852481126
            ],
            "approximateTV": [
              2.8166592638008296,
              7.616560275200754
            ],
            "approximateDelta": [
              -0.08999555828049788,
              -0.08983057728037203
            ],
            "approximateResidual": 0.08999555828049788,
            "approximateError": 0.239988155414661,
            "approximateBound": 0.33215028519431755,
            "pathDistance": 0.26424134746193895,
            "pathBound": 0.2642413474619389,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.010169422719627619
          },
          {
            "k": 11,
            "value": [
              2.651508421637118,
              7.451409433037043
            ],
            "q": [
              [
                2.6571927635231987,
                2.6571308956481516
              ],
              [
                7.4571556427981704,
                3.6571927635231987
              ]
            ],
            "tv": [
              2.6571927635231987,
              7.4571556427981704
            ],
            "delta": [
              0.0056843418860808015,
              0.0057462097611278296
            ],
            "residual": 0.0057462097611278296,
            "minDelta": 0.0056843418860808015,
            "maxDelta": 0.0057462097611278296,
            "spanDelta": 6.186787504702806e-05,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 0.00010311312507838011,
            "error": 0.015257233629624167,
            "geometricBound": 0.04244308608273665,
            "residualBound": 0.015323226029674212,
            "lower": [
              2.6666666666666665,
              7.466567678066592
            ],
            "upper": [
              2.666831647666792,
              7.466732659066717
            ],
            "policyLower": [
              2.6666666666666665,
              7.466629545941639
            ],
            "optimalUpper": [
              2.666769779791745,
              7.466732659066717
            ],
            "certifiedStop": true,
            "shifted": [
              2.793616968789138,
              7.593517980189063
            ],
            "shiftDifference": [
              0.14210854715202004,
              0.14210854715202004
            ],
            "shiftExpected": 0.14210854715202004,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.04760636329592671,
              -0.047544495420879684
            ],
            "approximate": [
              2.9166592638008297,
              7.716560275200754
            ],
            "approximateTV": [
              2.8229120398755185,
              7.62287491915049
            ],
            "approximateDelta": [
              -0.09374722392531121,
              -0.09368535605026374
            ],
            "approximateResidual": 0.09374722392531121,
            "approximateError": 0.24999259713416322,
            "approximateBound": 0.3075939282464485,
            "pathDistance": 0.2651508421637119,
            "pathBound": 0.2651508421637118,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.00631464394973591
          },
          {
            "k": 12,
            "value": [
              2.6571927635231987,
              7.4571556427981704
            ],
            "q": [
              [
                2.660745477201999,
                2.6607222767488565
              ],
              [
                7.460731556930114,
                3.660745477201999
              ]
            ],
            "tv": [
              2.660745477201999,
              7.460731556930114
            ],
            "delta": [
              0.003552713678800501,
              0.0035759141319431365
            ],
            "residual": 0.0035759141319431365,
            "minDelta": 0.003552713678800501,
            "maxDelta": 0.0035759141319431365,
            "spanDelta": 2.3200453142635524e-05,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 3.866742190439254e-05,
            "error": 0.009511023868496338,
            "geometricBound": 0.026526928801710408,
            "residualBound": 0.00953577101851503,
            "lower": [
              2.6666666666666665,
              7.466629545941639
            ],
            "upper": [
              2.6667285345417135,
              7.466691413816686
            ],
            "policyLower": [
              2.6666666666666665,
              7.466652746394781
            ],
            "optimalUpper": [
              2.666705334088571,
              7.466691413816686
            ],
            "certifiedStop": true,
            "shifted": [
              2.746010605493211,
              7.545973484768183
            ],
            "shiftDifference": [
              0.08881784197001252,
              0.08881784197001252
            ],
            "shiftExpected": 0.08881784197001252,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.029753977059954195,
              -0.02973077660681156
            ],
            "approximate": [
              2.9229120398755186,
              7.72287491915049
            ],
            "approximateTV": [
              2.826820024922199,
              7.6268061046503135
            ],
            "approximateDelta": [
              -0.09609201495331954,
              -0.09606881450017646
            ],
            "approximateResidual": 0.09609201495331954,
            "approximateError": 0.2562453732088521,
            "approximateBound": 0.2922462051540303,
            "pathDistance": 0.26571927635231996,
            "pathBound": 0.2657192763523199,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0039311854998231865
          },
          {
            "k": 13,
            "value": [
              2.660745477201999,
              7.460731556930114
            ],
            "q": [
              [
                2.6629659232512495,
                2.662957223081321
              ],
              [
                7.462960703149292,
                3.6629659232512495
              ]
            ],
            "tv": [
              2.6629659232512495,
              7.462960703149292
            ],
            "delta": [
              0.002220446049250313,
              0.0022291462191788014
            ],
            "residual": 0.0022291462191788014,
            "minDelta": 0.002220446049250313,
            "maxDelta": 0.0022291462191788014,
            "spanDelta": 8.700169928488322e-06,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.4500283214147203e-05,
            "error": 0.005935109736553201,
            "geometricBound": 0.016579330501069005,
            "residualBound": 0.005944389917810137,
            "lower": [
              2.6666666666666665,
              7.466652746394781
            ],
            "upper": [
              2.666689867119809,
              7.466675946847924
            ],
            "policyLower": [
              2.6666666666666665,
              7.46666144656471
            ],
            "optimalUpper": [
              2.6666811669498807,
              7.466675946847924
            ],
            "certifiedStop": true,
            "shifted": [
              2.716256628433257,
              7.516242708161371
            ],
            "shiftDifference": [
              0.05551115123125783,
              0.05551115123125783
            ],
            "shiftExpected": 0.05551115123125783,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.018596235662471372,
              -0.018587535492542884
            ],
            "approximate": [
              2.926820024922199,
              7.726806104650313
            ],
            "approximateTV": [
              2.8292625155763744,
              7.629257295474417
            ],
            "approximateDelta": [
              -0.09755750934582474,
              -0.09754880917589581
            ],
            "approximateResidual": 0.09755750934582474,
            "approximateError": 0.26015335825553265,
            "approximateBound": 0.282653878221269,
            "pathDistance": 0.2660745477202,
            "pathBound": 0.26607454772019995,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0024511908241038327
          },
          {
            "k": 14,
            "value": [
              2.6629659232512495,
              7.462960703149292
            ],
            "q": [
              [
                2.664353702032031,
                2.6643504394683077
              ],
              [
                7.464351744493797,
                3.664353702032031
              ]
            ],
            "tv": [
              2.664353702032031,
              7.464351744493797
            ],
            "delta": [
              0.0013877787807814457,
              0.0013910413445046288
            ],
            "residual": 0.0013910413445046288,
            "minDelta": 0.0013877787807814457,
            "maxDelta": 0.0013910413445046288,
            "spanDelta": 3.2625637231831206e-06,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 5.437606205305201e-06,
            "error": 0.0037059635173744,
            "geometricBound": 0.010362081563168127,
            "residualBound": 0.0037094435853456766,
            "lower": [
              2.6666666666666665,
              7.46666144656471
            ],
            "upper": [
              2.666675366836595,
              7.466670146734638
            ],
            "policyLower": [
              2.6666666666666665,
              7.466664709128433
            ],
            "optimalUpper": [
              2.666672104272872,
              7.466670146734638
            ],
            "certifiedStop": true,
            "shifted": [
              2.6976603927707856,
              7.4976551726688285
            ],
            "shiftDifference": [
              0.03469446951953614,
              0.03469446951953614
            ],
            "shiftExpected": 0.03469446951953614,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.011622647289044608,
              -0.011619384725321424
            ],
            "approximate": [
              2.9292625155763745,
              7.729257295474417
            ],
            "approximateTV": [
              2.830789072235234,
              7.630787114697
            ],
            "approximateDelta": [
              -0.0984734433411405,
              -0.09847018077741687
            ],
            "approximateResidual": 0.0984734433411405,
            "approximateError": 0.262595848909708,
            "approximateBound": 0.2766586738882931,
            "pathDistance": 0.26629659232512504,
            "pathBound": 0.266296592325125,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0015298192225827734
          },
          {
            "k": 15,
            "value": [
              2.664353702032031,
              7.464351744493797
            ],
            "q": [
              [
                2.6652210637700193,
                2.665219840308623
              ],
              [
                7.465220329693182,
                3.6652210637700193
              ]
            ],
            "tv": [
              2.6652210637700193,
              7.465220329693182
            ],
            "delta": [
              0.0008673617379884035,
              0.0008685851993845972
            ],
            "residual": 0.0008685851993845972,
            "minDelta": 0.0008673617379884035,
            "maxDelta": 0.0008685851993845972,
            "spanDelta": 1.2234613961936702e-06,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 2.0391023269894504e-06,
            "error": 0.002314922172869771,
            "geometricBound": 0.00647630097698008,
            "residualBound": 0.0023162271983589258,
            "lower": [
              2.6666666666666665,
              7.466664709128433
            ],
            "upper": [
              2.6666699292303897,
              7.466667971692156
            ],
            "policyLower": [
              2.6666666666666665,
              7.466665932589829
            ],
            "optimalUpper": [
              2.6666687057689935,
              7.466667971692156
            ],
            "certifiedStop": true,
            "shifted": [
              2.686037745481741,
              7.486035787943507
            ],
            "shiftDifference": [
              0.02168404344971009,
              0.02168404344971009
            ],
            "shiftExpected": 0.02168404344971009,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.00726415455565288,
              -0.007262931094256686
            ],
            "approximate": [
              2.930789072235234,
              7.730787114697
            ],
            "approximateTV": [
              2.8317431701470213,
              7.6317424360701835
            ],
            "approximateDelta": [
              -0.09904590208821284,
              -0.09904467862681621
            ],
            "approximateResidual": 0.09904590208821284,
            "approximateError": 0.2641224055685676,
            "approximateBound": 0.2729116711801832,
            "pathDistance": 0.2664353702032032,
            "pathBound": 0.2664353702032031,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0009553213731834376
          },
          {
            "k": 16,
            "value": [
              2.6652210637700193,
              7.465220329693182
            ],
            "q": [
              [
                2.665763164856262,
                2.6657627060582385
              ],
              [
                7.465762889577448,
                3.665763164856262
              ]
            ],
            "tv": [
              2.665763164856262,
              7.465762889577448
            ],
            "delta": [
              0.0005421010862427522,
              0.0005425598842663248
            ],
            "residual": 0.0005425598842663248,
            "minDelta": 0.0005421010862427522,
            "maxDelta": 0.0005425598842663248,
            "spanDelta": 4.5879802357262633e-07,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 7.646633726210439e-07,
            "error": 0.0014463369734851739,
            "geometricBound": 0.00404768811061255,
            "residualBound": 0.001446826358043533,
            "lower": [
              2.6666666666666665,
              7.466665932589829
            ],
            "upper": [
              2.6666678901280627,
              7.466667156051225
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666391387853
            ],
            "optimalUpper": [
              2.666667431330039,
              7.466667156051225
            ],
            "certifiedStop": true,
            "shifted": [
              2.678773590926088,
              7.47877285684925
            ],
            "shiftDifference": [
              0.013552527156068805,
              0.013552527156068805
            ],
            "shiftExpected": 0.013552527156068805,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.00454009659728305,
              -0.004539637799259921
            ],
            "approximate": [
              2.9317431701470213,
              7.731742436070183
            ],
            "approximateTV": [
              2.8323394813418883,
              7.632339206063074
            ],
            "approximateDelta": [
              -0.09940368880513306,
              -0.09940323000710904
            ],
            "approximateResidual": 0.09940368880513306,
            "approximateError": 0.26507650348035483,
            "approximateBound": 0.27056979448761453,
            "pathDistance": 0.266522106377002,
            "pathBound": 0.26652210637700197,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0005967699928906001
          },
          {
            "k": 17,
            "value": [
              2.665763164856262,
              7.465762889577448
            ],
            "q": [
              [
                2.666101978035164,
                2.666101805985905
              ],
              [
                7.466101874805609,
                3.666101978035164
              ]
            ],
            "tv": [
              2.666101978035164,
              7.466101874805609
            ],
            "delta": [
              0.00033881317890172014,
              0.00033898522816144805
            ],
            "residual": 0.00033898522816144805,
            "minDelta": 0.00033881317890172014,
            "maxDelta": 0.00033898522816144805,
            "spanDelta": 1.720492597279133e-07,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 2.8674876621318884e-07,
            "error": 0.000903777089218849,
            "geometricBound": 0.0025298050691328435,
            "residualBound": 0.0009039606084305282,
            "lower": [
              2.6666666666666665,
              7.466666391387853
            ],
            "upper": [
              2.6666671254646928,
              7.466666850185878
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666563437112
            ],
            "optimalUpper": [
              2.666666953415433,
              7.466666850185878
            ],
            "certifiedStop": true,
            "shifted": [
              2.674233494328805,
              7.4742332190499905
            ],
            "shiftDifference": [
              0.008470329472543003,
              0.00847032947254256
            ],
            "shiftExpected": 0.008470329472543003,
            "shiftDefect": [
              0,
              -4.440892098500626e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.0028375603733019616,
              -0.002837388324042678
            ],
            "approximate": [
              2.9323394813418884,
              7.732339206063074
            ],
            "approximateTV": [
              2.8327121758386804,
              7.632712072609125
            ],
            "approximateDelta": [
              -0.09962730550320797,
              -0.09962713345394913
            ],
            "approximateResidual": 0.09962730550320797,
            "approximateError": 0.26567281467522186,
            "approximateBound": 0.2691061215547591,
            "pathDistance": 0.2665763164856263,
            "pathBound": 0.26657631648562624,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.00037286654605050984
          },
          {
            "k": 18,
            "value": [
              2.666101978035164,
              7.466101874805609
            ],
            "q": [
              [
                2.6663137362719773,
                2.666313671753506
              ],
              [
                7.466313697560894,
                3.6663137362719773
              ]
            ],
            "tv": [
              2.6663137362719773,
              7.466313697560894
            ],
            "delta": [
              0.00021175823681351957,
              0.00021182275528452976
            ],
            "residual": 0.00021182275528452976,
            "minDelta": 0.00021175823681351957,
            "maxDelta": 0.00021182275528452976,
            "spanDelta": 6.45184710101887e-08,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.0753078501698117e-07,
            "error": 0.000564791861057401,
            "geometricBound": 0.0015811281682080274,
            "residualBound": 0.0005648606807587461,
            "lower": [
              2.6666666666666665,
              7.466666563437112
            ],
            "upper": [
              2.6666668387159227,
              7.466666735486368
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666627955583
            ],
            "optimalUpper": [
              2.6666667741974517,
              7.466666735486368
            ],
            "certifiedStop": true,
            "shifted": [
              2.671395933955503,
              7.471395830725948
            ],
            "shiftDifference": [
              0.005293955920339322,
              0.005293955920338433
            ],
            "shiftExpected": 0.005293955920339377,
            "shiftDefect": [
              -5.551115123125783e-17,
              -9.43689570931383e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.001773475233313615,
              -0.0017734107148417166
            ],
            "approximate": [
              2.9327121758386805,
              7.732712072609124
            ],
            "approximateTV": [
              2.8329451098991756,
              7.632945071188091
            ],
            "approximateDelta": [
              -0.0997670659395049,
              -0.09976700142103301
            ],
            "approximateResidual": 0.0997670659395049,
            "approximateError": 0.26604550917201397,
            "approximateBound": 0.26819132597172446,
            "pathDistance": 0.2666101978035167,
            "pathBound": 0.2666101978035164,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.00023299857896663667
          },
          {
            "k": 19,
            "value": [
              2.6663137362719773,
              7.466313697560894
            ],
            "q": [
              [
                2.666446085169986,
                2.6664460609755585
              ],
              [
                7.46644607065333,
                3.666446085169986
              ]
            ],
            "tv": [
              2.666446085169986,
              7.46644607065333
            ],
            "delta": [
              0.00013234889800850524,
              0.0001323730924358557
            ],
            "residual": 0.0001323730924358557,
            "minDelta": 0.00013234889800850524,
            "maxDelta": 0.0001323730924358557,
            "spanDelta": 2.419442735046573e-08,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 4.032404558410955e-08,
            "error": 0.0003529691057728712,
            "geometricBound": 0.0009882051051300171,
            "residualBound": 0.0003529949131622819,
            "lower": [
              2.6666666666666665,
              7.466666627955584
            ],
            "upper": [
              2.6666667311851397,
              7.466666692474056
            ],
            "policyLower": [
              2.6666666666666665,
              7.4666666521500105
            ],
            "optimalUpper": [
              2.6666667069907124,
              7.466666692474056
            ],
            "certifiedStop": true,
            "shifted": [
              2.6696224587221895,
              7.469622420011106
            ],
            "shiftDifference": [
              0.003308722450212187,
              0.003308722450212187
            ],
            "shiftExpected": 0.0033087224502121107,
            "shiftDefect": [
              7.632783294297951e-17,
              7.632783294297951e-17
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.001108422020821287,
              -0.0011083978263943806
            ],
            "approximate": [
              2.9329451098991757,
              7.732945071188091
            ],
            "approximateTV": [
              2.8330906936869846,
              7.633090679170328
            ],
            "approximateDelta": [
              -0.09985441621219104,
              -0.0998543920177628
            ],
            "approximateResidual": 0.09985441621219104,
            "approximateError": 0.26627844323250915,
            "approximateBound": 0.2676195787323278,
            "pathDistance": 0.26663137362719835,
            "pathBound": 0.26663137362719774,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.00014560798223683946
          },
          {
            "k": 20,
            "value": [
              2.666446085169986,
              7.46644607065333
            ],
            "q": [
              [
                2.666528803231241,
                2.6665287941583316
              ],
              [
                7.466528797787495,
                3.666528803231241
              ]
            ],
            "tv": [
              2.666528803231241,
              7.466528797787495
            ],
            "delta": [
              8.271806125526027e-05,
              8.272713416523914e-05
            ],
            "residual": 8.272713416523914e-05,
            "minDelta": 8.271806125526027e-05,
            "maxDelta": 8.272713416523914e-05,
            "spanDelta": 9.072909978868893e-09,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.5121516631448156e-08,
            "error": 0.0002205960133370155,
            "geometricBound": 0.0006176281907062606,
            "residualBound": 0.00022060569110730435,
            "lower": [
              2.6666666666666665,
              7.4666666521500105
            ],
            "upper": [
              2.666666690861093,
              7.466666676344437
            ],
            "policyLower": [
              2.6666666666666665,
              7.46666666122292
            ],
            "optimalUpper": [
              2.666666681788183,
              7.466666676344437
            ],
            "certifiedStop": true,
            "shifted": [
              2.668514036701368,
              7.468514022184712
            ],
            "shiftDifference": [
              0.002067951531382395,
              0.0020679515313819508
            ],
            "shiftExpected": 0.002067951531382569,
            "shiftDefect": [
              -1.7433970933566911e-16,
              -6.184289191857317e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.0006927637630131933,
              -0.0006927546901032144
            ],
            "approximate": [
              2.9330906936869847,
              7.733090679170328
            ],
            "approximateTV": [
              2.8331816835543657,
              7.633181678110619
            ],
            "approximateDelta": [
              -0.09990901013261899,
              -0.09990900105970901
            ],
            "approximateResidual": 0.09990901013261899,
            "approximateError": 0.2664240270203182,
            "approximateBound": 0.2672622367077049,
            "pathDistance": 0.2666446085169989,
            "pathBound": 0.2666446085169986,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 9.099894029063194e-05
          },
          {
            "k": 21,
            "value": [
              2.666528803231241,
              7.466528797787495
            ],
            "q": [
              [
                2.6665805020195257,
                2.6665804986171846
              ],
              [
                7.466580499978121,
                3.6665805020195257
              ]
            ],
            "tv": [
              2.6665805020195257,
              7.466580499978121
            ],
            "delta": [
              5.169878828459318e-05,
              5.170219062566872e-05
            ],
            "residual": 5.170219062566872e-05,
            "minDelta": 5.169878828459318e-05,
            "maxDelta": 5.170219062566872e-05,
            "spanDelta": 3.402341075542381e-09,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 5.670568459237302e-09,
            "error": 0.00013786887917177637,
            "geometricBound": 0.00038601761919141293,
            "residualBound": 0.00013787250833511658,
            "lower": [
              2.6666666666666665,
              7.466666661222921
            ],
            "upper": [
              2.666666675739576,
              7.46666667029583
            ],
            "policyLower": [
              2.6666666666666665,
              7.4666666646252615
            ],
            "optimalUpper": [
              2.666666672337235,
              7.46666667029583
            ],
            "certifiedStop": true,
            "shifted": [
              2.667821272938355,
              7.4678212674946085
            ],
            "shiftDifference": [
              0.0012924697071139413,
              0.0012924697071134972
            ],
            "shiftExpected": 0.0012924697071141056,
            "shiftDefect": [
              -1.6436504934880247e-16,
              -6.084542591988651e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.00043297735188341235,
              -0.00043297394954144863
            ],
            "approximate": [
              2.933181683554366,
              7.733181678110618
            ],
            "approximateTV": [
              2.833238552221479,
              7.6332385501800735
            ],
            "approximateDelta": [
              -0.0999431313328869,
              -0.09994312793054494
            ],
            "approximateResidual": 0.0999431313328869,
            "approximateError": 0.2665150168876993,
            "approximateBound": 0.26703889794231556,
            "pathDistance": 0.26665288032312473,
            "pathBound": 0.2666528803231241,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 5.6872069454705354e-05
          },
          {
            "k": 22,
            "value": [
              2.6665805020195257,
              7.466580499978121
            ],
            "q": [
              [
                2.6666128137622036,
                2.666612812486325
              ],
              [
                7.466612812996677,
                3.6666128137622036
              ]
            ],
            "tv": [
              2.6666128137622036,
              7.466612812996677
            ],
            "delta": [
              3.231174267792625e-05,
              3.231301855599611e-05
            ],
            "residual": 3.231301855599611e-05,
            "minDelta": 3.231174267792625e-05,
            "maxDelta": 3.231301855599611e-05,
            "spanDelta": 1.2758780698618466e-09,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 2.1264634497697443e-09,
            "error": 8.616668854610765e-05,
            "geometricBound": 0.00024126101199463306,
            "residualBound": 8.616804948265629e-05,
            "lower": [
              2.666666666666667,
              7.4666666646252615
            ],
            "upper": [
              2.6666666700690085,
              7.466666668027603
            ],
            "policyLower": [
              2.666666666666667,
              7.46666666590114
            ],
            "optimalUpper": [
              2.6666666687931304,
              7.466666668027603
            ],
            "certifiedStop": true,
            "shifted": [
              2.6673882955864716,
              7.467388293545067
            ],
            "shiftDifference": [
              0.0008077935669459357,
              0.0008077935669463798
            ],
            "shiftExpected": 0.0008077935669463161,
            "shiftDefect": [
              -3.8033812210791496e-16,
              6.375108774214766e-17
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.0002706108449270772,
              -0.00027060956904900735
            ],
            "approximate": [
              2.933238552221479,
              7.733238550180073
            ],
            "approximateTV": [
              2.8332740951384245,
              7.633274094372897
            ],
            "approximateDelta": [
              -0.09996445708305446,
              -0.09996445580717594
            ],
            "approximateResidual": 0.09996445708305446,
            "approximateError": 0.2665718855548125,
            "approximateBound": 0.2668993112139472,
            "pathDistance": 0.2666580502019533,
            "pathBound": 0.2666580502019526,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 3.5544192823699916e-05
          },
          {
            "k": 23,
            "value": [
              2.6666128137622036,
              7.466612812996677
            ],
            "q": [
              [
                2.6666330086013774,
                2.666633008122923
              ],
              [
                7.466633008314304,
                3.6666330086013774
              ]
            ],
            "tv": [
              2.6666330086013774,
              7.466633008314304
            ],
            "delta": [
              2.0194839173814927e-05,
              2.0195317627091924e-05
            ],
            "residual": 2.0195317627091924e-05,
            "minDelta": 2.0194839173814927e-05,
            "maxDelta": 2.0195317627091924e-05,
            "spanDelta": 4.784532769974703e-10,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 7.974221283291172e-10,
            "error": 5.385366999011154e-05,
            "geometricBound": 0.00015078813249664566,
            "residualBound": 5.3854180338911796e-05,
            "lower": [
              2.666666666666667,
              7.4666666659011405
            ],
            "upper": [
              2.6666666679425424,
              7.466666667177016
            ],
            "policyLower": [
              2.666666666666667,
              7.466666666379593
            ],
            "optimalUpper": [
              2.666666667464089,
              7.466666667177016
            ],
            "certifiedStop": true,
            "shifted": [
              2.6671176847415445,
              7.467117683976018
            ],
            "shiftDifference": [
              0.0005048709793409323,
              0.0005048709793413764
            ],
            "shiftExpected": 0.0005048709793414475,
            "shiftDefect": [
              -5.152128723651117e-16,
              -7.112366251504909e-17
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.0001691317780792012,
              -0.00016913129962592421
            ],
            "approximate": [
              2.9332740951384246,
              7.733274094372897
            ],
            "approximateTV": [
              2.8332963094615153,
              7.633296309174442
            ],
            "approximateDelta": [
              -0.09997778567690929,
              -0.09997778519845468
            ],
            "approximateResidual": 0.09997778567690929,
            "approximateError": 0.2666074284717581,
            "approximateBound": 0.266812069508717,
            "pathDistance": 0.266661281376221,
            "pathBound": 0.26666128137622036,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.2214801544961915e-05
          },
          {
            "k": 24,
            "value": [
              2.6666330086013774,
              7.466633008314304
            ],
            "q": [
              [
                2.6666456303758608,
                2.66664563019644
              ],
              [
                7.466645630268208,
                3.6666456303758608
              ]
            ],
            "tv": [
              2.6666456303758608,
              7.466645630268208
            ],
            "delta": [
              1.2621774483356774e-05,
              1.2621953904279337e-05
            ],
            "residual": 1.2621953904279337e-05,
            "minDelta": 1.2621774483356774e-05,
            "maxDelta": 1.2621953904279337e-05,
            "spanDelta": 1.794209225636223e-10,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 2.990348709393705e-10,
            "error": 3.365835236301962e-05,
            "geometricBound": 9.424258281040354e-05,
            "residualBound": 3.36585437447449e-05,
            "lower": [
              2.6666666666666665,
              7.466666666379592
            ],
            "upper": [
              2.666666667145122,
              7.466666666858049
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666559013
            ],
            "optimalUpper": [
              2.666666666965701,
              7.466666666858049
            ],
            "certifiedStop": true,
            "shifted": [
              2.6669485529634653,
              7.466948552676392
            ],
            "shiftDifference": [
              0.00031554436208791614,
              0.00031554436208836023
            ],
            "shiftExpected": 0.00031554436208840474,
            "shiftDefect": [
              -4.885957090305926e-16,
              -4.450649918052996e-17
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.00010570736129933422,
              -0.00010570718187885575
            ],
            "approximate": [
              2.9332963094615154,
              7.733296309174442
            ],
            "approximateTV": [
              2.833310193413447,
              7.633310193305794
            ],
            "approximateDelta": [
              -0.0999861160480684,
              -0.09998611586864747
            ],
            "approximateResidual": 0.0999861160480684,
            "approximateError": 0.2666296427948489,
            "approximateBound": 0.2667575434429481,
            "pathDistance": 0.266663300860138,
            "pathBound": 0.26666330086013773,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3884131352170925e-05
          },
          {
            "k": 25,
            "value": [
              2.6666456303758608,
              7.466645630268208
            ],
            "q": [
              [
                2.666653518984913,
                2.66665351891763
              ],
              [
                7.466653518944543,
                3.666653518984913
              ]
            ],
            "tv": [
              2.666653518984913,
              7.466653518944543
            ],
            "delta": [
              7.888609052209006e-06,
              7.888676335277012e-06
            ],
            "residual": 7.888676335277012e-06,
            "minDelta": 7.888609052209006e-06,
            "maxDelta": 7.888676335277012e-06,
            "spanDelta": 6.728306800596329e-11,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.1213844667660548e-10,
            "error": 2.103639845874028e-05,
            "geometricBound": 5.890161425650222e-05,
            "residualBound": 2.1036470227405363e-05,
            "lower": [
              2.6666666666666665,
              7.466666666559014
            ],
            "upper": [
              2.6666666668460883,
              7.466666666738435
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666626297
            ],
            "optimalUpper": [
              2.6666666667788053,
              7.466666666738435
            ],
            "certifiedStop": true,
            "shifted": [
              2.666842845602166,
              7.466842845494513
            ],
            "shiftDifference": [
              0.00019721522630522514,
              0.00019721522630522514
            ],
            "shiftExpected": 0.00019721522630525298,
            "shiftDefect": [
              -2.7836890778565326e-17,
              -2.7836890778565326e-17
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -6.606710081236145e-05,
              -6.606703352929344e-05
            ],
            "approximate": [
              2.933310193413447,
              7.733310193305794
            ],
            "approximateTV": [
              2.8333188708834047,
              7.633318870843034
            ],
            "approximateDelta": [
              -0.09999132253004239,
              -0.09999132246275977
            ],
            "approximateResidual": 0.09999132253004239,
            "approximateError": 0.2666435267467806,
            "approximateBound": 0.26672346465184255,
            "pathDistance": 0.26666456303758634,
            "pathBound": 0.26666456303758607,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 8.677537239876187e-06
          },
          {
            "k": 26,
            "value": [
              2.666653518984913,
              7.466653518944543
            ],
            "q": [
              [
                2.6666584493655705,
                2.666658449340339
              ],
              [
                7.466658449350432,
                3.6666584493655705
              ]
            ],
            "tv": [
              2.6666584493655705,
              7.466658449350432
            ],
            "delta": [
              4.930380657519606e-06,
              4.930405888892153e-06
            ],
            "residual": 4.930405888892153e-06,
            "minDelta": 4.930380657519606e-06,
            "maxDelta": 4.930405888892153e-06,
            "spanDelta": 2.5231372546841158e-11,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 4.2052287578068594e-11,
            "error": 1.3147722123463268e-05,
            "geometricBound": 3.681350891031389e-05,
            "residualBound": 1.3147749037045742e-05,
            "lower": [
              2.6666666666666665,
              7.466666666626296
            ],
            "upper": [
              2.66666666673395,
              7.46666666669358
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666651528
            ],
            "optimalUpper": [
              2.6666666667087187,
              7.46666666669358
            ],
            "certifiedStop": true,
            "shifted": [
              2.6667767785013536,
              7.466776778460984
            ],
            "shiftDifference": [
              0.0001232595164406547,
              0.0001232595164406547
            ],
            "shiftExpected": 0.0001232595164407831,
            "shiftDefect": [
              -1.2839664227659586e-16,
              -1.2839664227659586e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -4.129193800750386e-05,
              -4.129191277613131e-05
            ],
            "approximate": [
              2.933318870883405,
              7.733318870843034
            ],
            "approximateTV": [
              2.8333242943021277,
              7.633324294286989
            ],
            "approximateDelta": [
              -0.09999457658127708,
              -0.09999457655604438
            ],
            "approximateResidual": 0.09999457658127708,
            "approximateError": 0.2666522042167383,
            "approximateBound": 0.26670216540740166,
            "pathDistance": 0.26666535189849183,
            "pathBound": 0.26666535189849133,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 5.423443955265839e-06
          },
          {
            "k": 27,
            "value": [
              2.6666584493655705,
              7.466658449350432
            ],
            "q": [
              [
                2.6666615308534816,
                2.66666153084402
              ],
              [
                7.466661530847805,
                3.6666615308534816
              ]
            ],
            "tv": [
              2.6666615308534816,
              7.466661530847805
            ],
            "delta": [
              3.0814879110607762e-06,
              3.0814973728254813e-06
            ],
            "residual": 3.0814973728254813e-06,
            "minDelta": 3.0814879110607762e-06,
            "maxDelta": 3.0814973728254813e-06,
            "spanDelta": 9.461764705065434e-12,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.5769607841775724e-11,
            "error": 8.217316234571115e-06,
            "geometricBound": 2.3008443068946177e-05,
            "residualBound": 8.217326327534616e-06,
            "lower": [
              2.6666666666666665,
              7.466666666651529
            ],
            "upper": [
              2.666666666691898,
              7.46666666667676
            ],
            "policyLower": [
              2.6666666666666665,
              7.46666666666099
            ],
            "optimalUpper": [
              2.666666666682436,
              7.46666666667676
            ],
            "certifiedStop": true,
            "shifted": [
              2.666735486563346,
              7.466735486548208
            ],
            "shiftDifference": [
              7.703719777563123e-05,
              7.703719777563123e-05
            ],
            "shiftExpected": 7.703719777548944e-05,
            "shiftDefect": [
              1.4178653910679184e-16,
              1.4178653910679184e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -2.5807461254689912e-05,
              -2.5807451793369296e-05
            ],
            "approximate": [
              2.933324294302128,
              7.733324294286989
            ],
            "approximateTV": [
              2.8333276839388297,
              7.633327683933153
            ],
            "approximateDelta": [
              -0.0999966103632981,
              -0.09999661035383589
            ],
            "approximateResidual": 0.0999966103632981,
            "approximateError": 0.2666576276354613,
            "approximateBound": 0.266688853379626,
            "pathDistance": 0.2666658449365573,
            "pathBound": 0.26666584493655704,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 3.3896461637539232e-06
          },
          {
            "k": 28,
            "value": [
              2.6666615308534816,
              7.466661530847805
            ],
            "q": [
              [
                2.666663456783426,
                2.6666634567798777
              ],
              [
                7.466663456781298,
                3.666663456783426
              ]
            ],
            "tv": [
              2.666663456783426,
              7.466663456781298
            ],
            "delta": [
              1.925929944412985e-06,
              1.925933492685772e-06
            ],
            "residual": 1.925933492685772e-06,
            "minDelta": 1.925929944412985e-06,
            "maxDelta": 1.925933492685772e-06,
            "spanDelta": 3.5482727867020003e-12,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 5.913787977836667e-12,
            "error": 5.1358188617456335e-06,
            "geometricBound": 1.438027691809136e-05,
            "residualBound": 5.135822647162058e-06,
            "lower": [
              2.6666666666666665,
              7.46666666666099
            ],
            "upper": [
              2.6666666666761287,
              7.466666666670452
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666664539
            ],
            "optimalUpper": [
              2.6666666666725805,
              7.466666666670452
            ],
            "certifiedStop": true,
            "shifted": [
              2.6667096791020914,
              7.4667096790964145
            ],
            "shiftDifference": [
              4.814824860988054e-05,
              4.814824860943645e-05
            ],
            "shiftExpected": 4.81482486096809e-05,
            "shiftDefect": [
              1.9964227753604957e-16,
              -2.4444693231401304e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -1.6129663284569773e-05,
              -1.6129659736741075e-05
            ],
            "approximate": [
              2.93332768393883,
              7.733327683933153
            ],
            "approximateTV": [
              2.8333298024617686,
              7.63332980245964
            ],
            "approximateDelta": [
              -0.09999788147706123,
              -0.09999788147351296
            ],
            "approximateResidual": 0.09999788147706123,
            "approximateError": 0.2666610172721633,
            "approximateBound": 0.26668053336226627,
            "pathDistance": 0.26666615308534825,
            "pathBound": 0.2666661530853482,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.118526486682981e-06
          },
          {
            "k": 29,
            "value": [
              2.666663456783426,
              7.466663456781298
            ],
            "q": [
              [
                2.666664660489641,
                2.666664660488311
              ],
              [
                7.466664660488844,
                3.666664660489641
              ]
            ],
            "tv": [
              2.666664660489641,
              7.466664660488844
            ],
            "delta": [
              1.2037062151470934e-06,
              1.2037075460824553e-06
            ],
            "residual": 1.2037075460824553e-06,
            "minDelta": 1.2037062151470934e-06,
            "maxDelta": 1.2037075460824553e-06,
            "spanDelta": 1.3309353619206377e-12,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 2.2182256032010628e-12,
            "error": 3.2098853690598617e-06,
            "geometricBound": 8.9876730738071e-06,
            "residualBound": 3.2098867895532144e-06,
            "lower": [
              2.6666666666666665,
              7.466666666664538
            ],
            "upper": [
              2.6666666666702157,
              7.466666666668087
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666665869
            ],
            "optimalUpper": [
              2.6666666666688847,
              7.466666666668087
            ],
            "certifiedStop": true,
            "shifted": [
              2.666693549438807,
              7.466693549436678
            ],
            "shiftDifference": [
              3.009265538089778e-05,
              3.0092655380009603e-05
            ],
            "shiftExpected": 3.009265538105056e-05,
            "shiftDefect": [
              -1.5277763863036364e-16,
              -1.0409560583304889e-15
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -1.008103955246753e-05,
              -1.0081038221976257e-05
            ],
            "approximate": [
              2.9333298024617687,
              7.7333298024596395
            ],
            "approximateTV": [
              2.8333311265386056,
              7.633331126537806
            ],
            "approximateDelta": [
              -0.09999867592316303,
              -0.09999867592183342
            ],
            "approximateResidual": 0.09999867592316303,
            "approximateError": 0.26666313579510215,
            "approximateBound": 0.26667533335141647,
            "pathDistance": 0.2666663456783427,
            "pathBound": 0.26666634567834263,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.3240781662204881e-06
          },
          {
            "k": 30,
            "value": [
              2.666664660489641,
              7.466664660488844
            ],
            "q": [
              [
                2.666665412806026,
                2.6666654128055276
              ],
              [
                7.466665412805726,
                3.666665412806026
              ]
            ],
            "tv": [
              2.666665412806026,
              7.466665412805726
            ],
            "delta": [
              7.523163847444891e-07,
              7.523168825684934e-07
            ],
            "residual": 7.523168825684934e-07,
            "minDelta": 7.523163847444891e-07,
            "maxDelta": 7.523168825684934e-07,
            "spanDelta": 4.978240042419202e-13,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 8.297066737365336e-13,
            "error": 2.0061778229774063e-06,
            "geometricBound": 5.617295671129438e-06,
            "residualBound": 2.0061783535159825e-06,
            "lower": [
              2.666666666666667,
              7.46666666666587
            ],
            "upper": [
              2.666666666667995,
              7.466666666667197
            ],
            "policyLower": [
              2.666666666666667,
              7.4666666666663675
            ],
            "optimalUpper": [
              2.666666666667497,
              7.466666666667197
            ],
            "certifiedStop": true,
            "shifted": [
              2.6666834683992544,
              7.466683468398456
            ],
            "shiftDifference": [
              1.8807909613283158e-05,
              1.880790961195089e-05
            ],
            "shiftExpected": 1.88079096131566e-05,
            "shiftDefect": [
              1.2655688671515952e-16,
              -1.2057107428350283e-15
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -6.300649720181184e-06,
              -6.300649221024912e-06
            ],
            "approximate": [
              2.9333311265386057,
              7.733331126537806
            ],
            "approximateTV": [
              2.8333319540866286,
              7.633331954086328
            ],
            "approximateDelta": [
              -0.09999917245197709,
              -0.09999917245147749
            ],
            "approximateResidual": 0.09999917245197709,
            "approximateError": 0.2666644598719392,
            "approximateBound": 0.2666720833446352,
            "pathDistance": 0.2666664660489646,
            "pathBound": 0.2666664660489641,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 8.275485221531653e-07
          },
          {
            "k": 31,
            "value": [
              2.666665412806026,
              7.466665412805726
            ],
            "q": [
              [
                2.666665883003766,
                2.6666658830035788
              ],
              [
                7.466665883003654,
                3.666665883003766
              ]
            ],
            "tv": [
              2.666665883003766,
              7.466665883003654
            ],
            "delta": [
              4.7019774029877226e-07,
              4.701979277044188e-07
            ],
            "residual": 4.701979277044188e-07,
            "minDelta": 4.7019774029877226e-07,
            "maxDelta": 4.701979277044188e-07,
            "spanDelta": 1.8740564655672642e-13,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 3.123427442612107e-13,
            "error": 1.253860940408913e-06,
            "geometricBound": 3.5108097944558986e-06,
            "residualBound": 1.2538611405451168e-06,
            "lower": [
              2.6666666666666665,
              7.4666666666663675
            ],
            "upper": [
              2.6666666666671666,
              7.466666666666867
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666666555
            ],
            "optimalUpper": [
              2.666666666666979,
              7.466666666666867
            ],
            "certifiedStop": true,
            "shifted": [
              2.6666771677495342,
              7.466677167749235
            ],
            "shiftDifference": [
              1.1754943508357485e-05,
              1.1754943508357485e-05
            ],
            "shiftExpected": 1.1754943508222874e-05,
            "shiftDefect": [
              1.346104759776534e-16,
              1.346104759776534e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -3.937906075446307e-06,
              -3.9379058884847495e-06
            ],
            "approximate": [
              2.9333319540866287,
              7.733331954086328
            ],
            "approximateTV": [
              2.833332471304143,
              7.63333247130403
            ],
            "approximateDelta": [
              -0.09999948278248594,
              -0.09999948278229809
            ],
            "approximateResidual": 0.09999948278248594,
            "approximateError": 0.2666652874199622,
            "approximateBound": 0.266670052090397,
            "pathDistance": 0.26666654128060285,
            "pathBound": 0.2666665412806026,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 5.172177015566604e-07
          },
          {
            "k": 32,
            "value": [
              2.666665883003766,
              7.466665883003654
            ],
            "q": [
              [
                2.666666176877354,
                2.6666661768772837
              ],
              [
                7.466666176877312,
                3.666666176877354
              ]
            ],
            "tv": [
              2.666666176877354,
              7.466666176877312
            ],
            "delta": [
              2.9387358768673266e-07,
              2.938736578528278e-07
            ],
            "residual": 2.938736578528278e-07,
            "minDelta": 2.9387358768673266e-07,
            "maxDelta": 2.938736578528278e-07,
            "spanDelta": 7.016609515630989e-14,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.1694349192718315e-13,
            "error": 7.836630127044941e-07,
            "geometricBound": 2.1942561215349367e-06,
            "residualBound": 7.836630876075409e-07,
            "lower": [
              2.6666666666666665,
              7.466666666666555
            ],
            "upper": [
              2.666666666666854,
              7.466666666666741
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666666625
            ],
            "optimalUpper": [
              2.6666666666667838,
              7.466666666666741
            ],
            "certifiedStop": true,
            "shifted": [
              2.666673229843459,
              7.466673229843346
            ],
            "shiftDifference": [
              7.346839692612406e-06,
              7.3468396921683166e-06
            ],
            "shiftExpected": 7.346839692639297e-06,
            "shiftDefect": [
              -2.6891602009429527e-17,
              -4.709808118594921e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -2.4611912969874084e-06,
              -2.4611912259331348e-06
            ],
            "approximate": [
              2.933332471304143,
              7.7333324713040295
            ],
            "approximateTV": [
              2.8333327945650892,
              7.633332794565046
            ],
            "approximateDelta": [
              -0.09999967673905363,
              -0.09999967673898347
            ],
            "approximateResidual": 0.09999967673905363,
            "approximateError": 0.26666580463747636,
            "approximateBound": 0.2666687825564982,
            "pathDistance": 0.2666665883003767,
            "pathBound": 0.26666658830037665,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 3.232610161774119e-07
          },
          {
            "k": 33,
            "value": [
              2.666666176877354,
              7.466666176877312
            ],
            "q": [
              [
                2.666666360548346,
                2.6666663605483203
              ],
              [
                7.466666360548331,
                3.666666360548346
              ]
            ],
            "tv": [
              2.666666360548346,
              7.466666360548331
            ],
            "delta": [
              1.836709921931856e-07,
              1.836710188385382e-07
            ],
            "residual": 1.836710188385382e-07,
            "minDelta": 1.836709921931856e-07,
            "maxDelta": 1.836710188385382e-07,
            "spanDelta": 2.6645352591003757e-14,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 4.440892098500626e-14,
            "error": 4.897893548516663e-07,
            "geometricBound": 1.3714100759593355e-06,
            "residualBound": 4.897893835694352e-07,
            "lower": [
              2.6666666666666665,
              7.466666666666624
            ],
            "upper": [
              2.6666666666667376,
              7.466666666666695
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666666651
            ],
            "optimalUpper": [
              2.666666666666711,
              7.466666666666695
            ],
            "certifiedStop": true,
            "shifted": [
              2.666670768652162,
              7.46667076865212
            ],
            "shiftDifference": [
              4.591774807938265e-06,
              4.591774808382354e-06
            ],
            "shiftExpected": 4.5917748078995604e-06,
            "shiftDefect": [
              3.8704323491838e-17,
              4.827935333419006e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -1.5382445606171302e-06,
              -1.5382445353040453e-06
            ],
            "approximate": [
              2.9333327945650893,
              7.733332794565046
            ],
            "approximateTV": [
              2.833332996603181,
              7.633332996603164
            ],
            "approximateDelta": [
              -0.0999997979619085,
              -0.09999979796188185
            ],
            "approximateResidual": 0.0999997979619085,
            "approximateError": 0.2666661278984228,
            "approximateBound": 0.26666798909781136,
            "pathDistance": 0.2666666176877355,
            "pathBound": 0.2666666176877354,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.0203811779140324e-07
          },
          {
            "k": 34,
            "value": [
              2.666666360548346,
              7.466666360548331
            ],
            "q": [
              [
                2.6666664753427165,
                2.6666664753427067
              ],
              [
                7.466666475342711,
                3.6666664753427165
              ]
            ],
            "tv": [
              2.6666664753427165,
              7.466666475342711
            ],
            "delta": [
              1.1479437045380791e-07,
              1.1479438022377053e-07
            ],
            "residual": 1.1479438022377053e-07,
            "minDelta": 1.1479437045380791e-07,
            "maxDelta": 1.1479438022377053e-07,
            "spanDelta": 9.769962616701378e-15,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.6283271027835628e-14,
            "error": 3.061183360131281e-07,
            "geometricBound": 8.571312974745846e-07,
            "residualBound": 3.061183472633881e-07,
            "lower": [
              2.6666666666666674,
              7.466666666666652
            ],
            "upper": [
              2.666666666666693,
              7.466666666666678
            ],
            "policyLower": [
              2.6666666666666674,
              7.4666666666666615
            ],
            "optimalUpper": [
              2.6666666666666834,
              7.466666666666678
            ],
            "certifiedStop": true,
            "shifted": [
              2.666669230407601,
              7.466669230407585
            ],
            "shiftDifference": [
              2.869859255127949e-06,
              2.8698592542397705e-06
            ],
            "shiftExpected": 2.869859254937225e-06,
            "shiftDefect": [
              1.9072386763440904e-16,
              -6.974545520657162e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -9.614028506632621e-07,
              -9.614028408932995e-07
            ],
            "approximate": [
              2.933332996603181,
              7.733332996603163
            ],
            "approximateTV": [
              2.8333331228769882,
              7.633333122876982
            ],
            "approximateDelta": [
              -0.09999987372619268,
              -0.09999987372618158
            ],
            "approximateResidual": 0.09999987372619268,
            "approximateError": 0.2666663299365144,
            "approximateBound": 0.2666674931861321,
            "pathDistance": 0.26666663605483487,
            "pathBound": 0.2666666360548346,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.262738180685119e-07
          },
          {
            "k": 35,
            "value": [
              2.6666664753427165,
              7.466666475342711
            ],
            "q": [
              [
                2.6666665470891977,
                2.6666665470891946
              ],
              [
                7.466666547089195,
                3.6666665470891977
              ]
            ],
            "tv": [
              2.6666665470891977,
              7.466666547089195
            ],
            "delta": [
              7.174648120056304e-08,
              7.174648430918751e-08
            ],
            "residual": 7.174648430918751e-08,
            "minDelta": 7.174648120056304e-08,
            "maxDelta": 7.174648430918751e-08,
            "spanDelta": 3.1086244689504383e-15,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 5.1810407815840636e-15,
            "error": 1.9132395578935757e-07,
            "geometricBound": 5.357070609216154e-07,
            "residualBound": 1.9132395815783335e-07,
            "lower": [
              2.6666666666666665,
              7.466666666666661
            ],
            "upper": [
              2.6666666666666745,
              7.4666666666666694
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666666664
            ],
            "optimalUpper": [
              2.6666666666666714,
              7.4666666666666694
            ],
            "certifiedStop": true,
            "shifted": [
              2.6666682690047505,
              7.466668269004744
            ],
            "shiftDifference": [
              1.7936620340108789e-06,
              1.7936620331227004e-06
            ],
            "shiftExpected": 1.7936620343357658e-06,
            "shiftDefect": [
              -3.2488689845767537e-16,
              -1.2130653181578006e-15
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -6.008767812204496e-07,
              -6.00876777667736e-07
            ],
            "approximate": [
              2.9333331228769883,
              7.7333331228769815
            ],
            "approximateTV": [
              2.8333332017981174,
              7.633333201798115
            ],
            "approximateDelta": [
              -0.0999999210788709,
              -0.0999999210788669
            ],
            "approximateResidual": 0.0999999210788709,
            "approximateError": 0.2666664562103218,
            "approximateBound": 0.26666718324133254,
            "pathDistance": 0.26666664753427183,
            "pathBound": 0.2666666475342716,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 7.892113274010626e-08
          },
          {
            "k": 36,
            "value": [
              2.6666665470891977,
              7.466666547089195
            ],
            "q": [
              [
                2.6666665919307486,
                2.6666665919307473
              ],
              [
                7.466666591930748,
                3.6666665919307486
              ]
            ],
            "tv": [
              2.6666665919307486,
              7.466666591930748
            ],
            "delta": [
              4.484155091688535e-08,
              4.484155269324219e-08
            ],
            "residual": 4.484155269324219e-08,
            "minDelta": 4.484155091688535e-08,
            "maxDelta": 4.484155269324219e-08,
            "spanDelta": 1.7763568394002505e-15,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 2.960594732333751e-15,
            "error": 1.1957747148017006e-07,
            "geometricBound": 3.3481691307600967e-07,
            "residualBound": 1.1957747384864584e-07,
            "lower": [
              2.666666666666667,
              7.466666666666664
            ],
            "upper": [
              2.6666666666666714,
              7.4666666666666694
            ],
            "policyLower": [
              2.666666666666667,
              7.466666666666666
            ],
            "optimalUpper": [
              2.6666666666666696,
              7.4666666666666694
            ],
            "certifiedStop": true,
            "shifted": [
              2.6666676681279693,
              7.4666676681279665
            ],
            "shiftDifference": [
              1.1210387715898662e-06,
              1.121038771145777e-06
            ],
            "shiftExpected": 1.1210387714598536e-06,
            "shiftDefect": [
              1.3001256938172025e-16,
              -3.1407664046834236e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -3.75547988262781e-07,
              -3.755479873746026e-07
            ],
            "approximate": [
              2.9333332017981175,
              7.733333201798114
            ],
            "approximateTV": [
              2.8333332511238236,
              7.6333332511238225
            ],
            "approximateDelta": [
              -0.0999999506742939,
              -0.09999995067429168
            ],
            "approximateResidual": 0.0999999506742939,
            "approximateError": 0.266666535131451,
            "approximateBound": 0.26666698952583284,
            "pathDistance": 0.2666666547089198,
            "pathBound": 0.26666665470891976,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 4.932570796256641e-08
          },
          {
            "k": 37,
            "value": [
              2.6666665919307486,
              7.466666591930748
            ],
            "q": [
              [
                2.666666619956718,
                2.6666666199567173
              ],
              [
                7.466666619956717,
                3.666666619956718
              ]
            ],
            "tv": [
              2.666666619956718,
              7.466666619956717
            ],
            "delta": [
              2.802596954509795e-08,
              2.802596910100874e-08
            ],
            "residual": 2.802596954509795e-08,
            "minDelta": 2.802596910100874e-08,
            "maxDelta": 2.802596954509795e-08,
            "spanDelta": 4.440892098500626e-16,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 7.401486830834377e-16,
            "error": 7.473591878692787e-08,
            "geometricBound": 2.09260570672506e-07,
            "residualBound": 7.473591878692787e-08,
            "lower": [
              2.666666666666666,
              7.466666666666666
            ],
            "upper": [
              2.6666666666666674,
              7.466666666666667
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666666666
            ],
            "optimalUpper": [
              2.6666666666666674,
              7.466666666666667
            ],
            "certifiedStop": true,
            "shifted": [
              2.666667292579981,
              7.466667292579979
            ],
            "shiftDifference": [
              7.006492324101998e-07,
              7.006492310779322e-07
            ],
            "shiftExpected": 7.006492321624085e-07,
            "shiftDefect": [
              2.4779133602712824e-16,
              -1.0844762935230596e-15
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -2.3471749299730504e-07,
              -2.3471749166503741e-07
            ],
            "approximate": [
              2.9333332511238237,
              7.733333251123822
            ],
            "approximateTV": [
              2.83333328195239,
              7.633333281952389
            ],
            "approximateDelta": [
              -0.09999996917143372,
              -0.09999996917143328
            ],
            "approximateResidual": 0.09999996917143372,
            "approximateError": 0.2666665844571572,
            "approximateBound": 0.2666668684536455,
            "pathDistance": 0.2666666591930751,
            "pathBound": 0.26666665919307486,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 3.082856636638098e-08
          },
          {
            "k": 38,
            "value": [
              2.666666619956718,
              7.466666619956717
            ],
            "q": [
              [
                2.666666637472949,
                2.6666666374729484
              ],
              [
                7.466666637472949,
                3.666666637472949
              ]
            ],
            "tv": [
              2.666666637472949,
              7.466666637472949
            ],
            "delta": [
              1.7516230688130463e-08,
              1.7516232020398093e-08
            ],
            "residual": 1.7516232020398093e-08,
            "minDelta": 1.7516230688130463e-08,
            "maxDelta": 1.7516232020398093e-08,
            "spanDelta": 1.3322676295501878e-15,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 2.220446049250313e-15,
            "error": 4.670994968591913e-08,
            "geometricBound": 1.3078785667031625e-07,
            "residualBound": 4.670995205439491e-08,
            "lower": [
              2.6666666666666665,
              7.466666666666666
            ],
            "upper": [
              2.66666666666667,
              7.4666666666666694
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666666667
            ],
            "optimalUpper": [
              2.6666666666666687,
              7.4666666666666694
            ],
            "certifiedStop": true,
            "shifted": [
              2.666667057862488,
              7.466667057862487
            ],
            "shiftDifference": [
              4.3790576986779683e-07,
              4.3790577031188604e-07
            ],
            "shiftExpected": 4.3790577010150535e-07,
            "shiftDefect": [
              -2.3370851330651904e-16,
              2.1038069654354358e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -1.466984329567822e-07,
              -1.466984329567822e-07
            ],
            "approximate": [
              2.93333328195239,
              7.733333281952389
            ],
            "approximateTV": [
              2.833333301220244,
              7.633333301220244
            ],
            "approximateDelta": [
              -0.09999998073214611,
              -0.09999998073214478
            ],
            "approximateResidual": 0.09999998073214611,
            "approximateError": 0.26666661528572355,
            "approximateBound": 0.26666679278352845,
            "pathDistance": 0.2666666619956719,
            "pathBound": 0.2666666619956718,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.9267854867166534e-08
          },
          {
            "k": 39,
            "value": [
              2.666666637472949,
              7.466666637472949
            ],
            "q": [
              [
                2.666666648420593,
                2.666666648420593
              ],
              [
                7.466666648420594,
                3.666666648420593
              ]
            ],
            "tv": [
              2.666666648420593,
              7.466666648420594
            ],
            "delta": [
              1.0947644124570388e-08,
              1.0947644568659598e-08
            ],
            "residual": 1.0947644568659598e-08,
            "minDelta": 1.0947644124570388e-08,
            "maxDelta": 1.0947644568659598e-08,
            "spanDelta": 4.440892098500626e-16,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 7.401486830834377e-16,
            "error": 2.9193717665521035e-08,
            "geometricBound": 8.174241041894765e-08,
            "residualBound": 2.9193718849758927e-08,
            "lower": [
              2.6666666666666665,
              7.466666666666667
            ],
            "upper": [
              2.666666666666668,
              7.466666666666668
            ],
            "policyLower": [
              2.6666666666666665,
              7.466666666666667
            ],
            "optimalUpper": [
              2.6666666666666674,
              7.466666666666668
            ],
            "certifiedStop": true,
            "shifted": [
              2.666666911164055,
              7.4666669111640545
            ],
            "shiftDifference": [
              2.7369110622288417e-07,
              2.7369110533470575e-07
            ],
            "shiftExpected": 2.7369110631344084e-07,
            "shiftDefect": [
              -9.055666296787167e-17,
              -9.78735082667997e-16
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -9.168652059798887e-08,
              -9.168652059798887e-08
            ],
            "approximate": [
              2.933333301220244,
              7.733333301220243
            ],
            "approximateTV": [
              2.833333313262653,
              7.633333313262652
            ],
            "approximateDelta": [
              -0.09999998795759124,
              -0.09999998795759169
            ],
            "approximateResidual": 0.09999998795759169,
            "approximateError": 0.26666663455357753,
            "approximateBound": 0.2666667454897053,
            "pathDistance": 0.2666666637472952,
            "pathBound": 0.2666666637472949,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.2042408847889874e-08
          },
          {
            "k": 40,
            "value": [
              2.666666648420593,
              7.466666648420594
            ],
            "q": [
              [
                2.666666655262871,
                2.666666655262871
              ],
              [
                7.466666655262871,
                3.666666655262871
              ]
            ],
            "tv": [
              2.666666655262871,
              7.466666655262871
            ],
            "delta": [
              6.842277855412249e-09,
              6.842276967233829e-09
            ],
            "residual": 6.842277855412249e-09,
            "minDelta": 6.842276967233829e-09,
            "maxDelta": 6.842277855412249e-09,
            "spanDelta": 8.881784197001252e-16,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policyLoss": 0,
            "policyBound": 1.4802973661668755e-15,
            "error": 1.8246073540950647e-08,
            "geometricBound": 5.1089006511842294e-08,
            "residualBound": 1.824607428109933e-08,
            "lower": [
              2.6666666666666647,
              7.466666666666666
            ],
            "upper": [
              2.6666666666666674,
              7.466666666666668
            ],
            "policyLower": [
              2.6666666666666656,
              7.466666666666666
            ],
            "optimalUpper": [
              2.6666666666666674,
              7.466666666666667
            ],
            "certifiedStop": true,
            "shifted": [
              2.6666668194775345,
              7.466666819477534
            ],
            "shiftDifference": [
              1.710569415003249e-07,
              1.7105694016805728e-07
            ],
            "shiftExpected": 1.7105694144590053e-07,
            "shiftDefect": [
              5.442438149015096e-17,
              -1.2778432480600369e-15
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -5.7304075706809954e-08,
              -5.7304075262720744e-08
            ],
            "approximate": [
              2.933333313262653,
              7.733333313262651
            ],
            "approximateTV": [
              2.833333320789158,
              7.633333320789157
            ],
            "approximateDelta": [
              -0.09999999247349489,
              -0.099999992473494
            ],
            "approximateResidual": 0.09999999247349489,
            "approximateError": 0.2666666465959864,
            "approximateBound": 0.26666671593106583,
            "pathDistance": 0.2666666648420599,
            "pathBound": 0.2666666648420593,
            "updateNoise": null,
            "actualNextChange": null
          }
        ],
        "scan": [
          {
            "gamma": 0,
            "value": [
              1,
              4
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 3,
            "horizon": 1
          },
          {
            "gamma": 0.01,
            "value": [
              1.0101010101010102,
              4.028209662012478
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9698189134808857,
            "horizon": 1.0101010101010102
          },
          {
            "gamma": 0.02,
            "value": [
              1.0204081632653061,
              4.056845410228869
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9392712550607287,
            "horizon": 1.0204081632653061
          },
          {
            "gamma": 0.03,
            "value": [
              1.0309278350515465,
              4.085917651752157
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9083503054989817,
            "horizon": 1.0309278350515465
          },
          {
            "gamma": 0.04,
            "value": [
              1.0416666666666667,
              4.115437158469946
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8770491803278686,
            "horizon": 1.0416666666666667
          },
          {
            "gamma": 0.05,
            "value": [
              1.0526315789473684,
              4.145415084102008
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8453608247422677,
            "horizon": 1.0526315789473684
          },
          {
            "gamma": 0.06,
            "value": [
              1.0638297872340425,
              4.175862982254789
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.813278008298755,
            "horizon": 1.0638297872340425
          },
          {
            "gamma": 0.07,
            "value": [
              1.0752688172043012,
              4.206792825555032
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.780793319415449,
            "horizon": 1.0752688172043012
          },
          {
            "gamma": 0.08,
            "value": [
              1.0869565217391304,
              4.238217025940811
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.7478991596638656,
            "horizon": 1.0869565217391304
          },
          {
            "gamma": 0.09,
            "value": [
              1.0989010989010988,
              4.270148456194968
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.714587737843552,
            "horizon": 1.0989010989010988
          },
          {
            "gamma": 0.1,
            "value": [
              1.1111111111111112,
              4.302600472813239
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6808510638297873,
            "horizon": 1.1111111111111112
          },
          {
            "gamma": 0.11,
            "value": [
              1.1235955056179776,
              4.335586940307485
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.646680942184154,
            "horizon": 1.1235955056179776
          },
          {
            "gamma": 0.12,
            "value": [
              1.1363636363636365,
              4.3691222570532915
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6120689655172415,
            "horizon": 1.1363636363636365
          },
          {
            "gamma": 0.13,
            "value": [
              1.1494252873563218,
              4.403221382801007
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.577006507592191,
            "horizon": 1.1494252873563218
          },
          {
            "gamma": 0.14,
            "value": [
              1.1627906976744187,
              4.437899867980095
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.541484716157205,
            "horizon": 1.1627906976744187
          },
          {
            "gamma": 0.15,
            "value": [
              1.1764705882352942,
              4.47317388493859
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.5054945054945055,
            "horizon": 1.1764705882352942
          },
          {
            "gamma": 0.16,
            "value": [
              1.1904761904761905,
              4.5090602612726505
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.4690265486725664,
            "horizon": 1.1904761904761905
          },
          {
            "gamma": 0.17,
            "value": [
              1.2048192771084338,
              4.5455765154157834
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.432071269487751,
            "horizon": 1.2048192771084338
          },
          {
            "gamma": 0.18,
            "value": [
              1.2195121951219512,
              4.58274089467352
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3946188340807177,
            "horizon": 1.2195121951219512
          },
          {
            "gamma": 0.19,
            "value": [
              1.2345679012345678,
              4.6205724159072545
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.356659142212189,
            "horizon": 1.2345679012345678
          },
          {
            "gamma": 0.2,
            "value": [
              1.25,
              4.659090909090908
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3181818181818183,
            "horizon": 1.25
          },
          {
            "gamma": 0.21,
            "value": [
              1.2658227848101264,
              4.698317063986328
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.279176201372998,
            "horizon": 1.2658227848101264
          },
          {
            "gamma": 0.22,
            "value": [
              1.282051282051282,
              4.738272480207963
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.2396313364055302,
            "horizon": 1.282051282051282
          },
          {
            "gamma": 0.23,
            "value": [
              1.2987012987012987,
              4.77897972097508
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.19953596287703,
            "horizon": 1.2987012987012987
          },
          {
            "gamma": 0.24,
            "value": [
              1.3157894736842106,
              4.820462370880473
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.158878504672897,
            "horizon": 1.3157894736842106
          },
          {
            "gamma": 0.25,
            "value": [
              1.3333333333333333,
              4.862745098039216
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.117647058823529,
            "horizon": 1.3333333333333333
          },
          {
            "gamma": 0.26,
            "value": [
              1.3513513513513513,
              4.905853721019598
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.075829383886256,
            "horizon": 1.3513513513513513
          },
          {
            "gamma": 0.27,
            "value": [
              1.36986301369863,
              4.949815281001733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.0334128878281623,
            "horizon": 1.36986301369863
          },
          {
            "gamma": 0.28,
            "value": [
              1.3888888888888888,
              4.99465811965812
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.990384615384615,
            "horizon": 1.3888888888888888
          },
          {
            "gamma": 0.29,
            "value": [
              1.4084507042253522,
              5.040411963305255
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.9467312348668282,
            "horizon": 1.4084507042253522
          },
          {
            "gamma": 0.3,
            "value": [
              1.4285714285714286,
              5.087108013937282
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.902439024390244,
            "horizon": 1.4285714285714286
          },
          {
            "gamma": 0.31,
            "value": [
              1.4492753623188408,
              5.134779047822526
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.8574938574938573,
            "horizon": 1.4492753623188408
          },
          {
            "gamma": 0.32,
            "value": [
              1.4705882352941178,
              5.18345952242283
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.811881188118812,
            "horizon": 1.4705882352941178
          },
          {
            "gamma": 0.33,
            "value": [
              1.492537313432836,
              5.233185692485204
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7655860349127186,
            "horizon": 1.492537313432836
          },
          {
            "gamma": 0.34,
            "value": [
              1.5151515151515154,
              5.283995736257043
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7185929648241205,
            "horizon": 1.5151515151515154
          },
          {
            "gamma": 0.35,
            "value": [
              1.5384615384615383,
              5.335929892891918
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.6708860759493671,
            "horizon": 1.5384615384615383
          },
          {
            "gamma": 0.36,
            "value": [
              1.5625,
              5.389030612244897
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.622448979591837,
            "horizon": 1.5625
          },
          {
            "gamma": 0.37,
            "value": [
              1.5873015873015872,
              5.443342718406986
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5732647814910024,
            "horizon": 1.5873015873015872
          },
          {
            "gamma": 0.38,
            "value": [
              1.6129032258064517,
              5.498913588500752
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5233160621761659,
            "horizon": 1.6129032258064517
          },
          {
            "gamma": 0.39,
            "value": [
              1.639344262295082,
              5.555793348456962
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4725848563968666,
            "horizon": 1.639344262295082
          },
          {
            "gamma": 0.4,
            "value": [
              1.6666666666666667,
              5.614035087719298
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4210526315789476,
            "horizon": 1.6666666666666667
          },
          {
            "gamma": 0.41,
            "value": [
              1.6949152542372878,
              5.673695095086094
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3687002652519897,
            "horizon": 1.6949152542372878
          },
          {
            "gamma": 0.42,
            "value": [
              1.7241379310344827,
              5.7348331182002585
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3155080213903743,
            "horizon": 1.7241379310344827
          },
          {
            "gamma": 0.43,
            "value": [
              1.7543859649122806,
              5.797512649548399
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.261455525606469,
            "horizon": 1.7543859649122806
          },
          {
            "gamma": 0.44,
            "value": [
              1.7857142857142856,
              5.861801242236025
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.2065217391304346,
            "horizon": 1.7857142857142856
          },
          {
            "gamma": 0.45,
            "value": [
              1.8181818181818181,
              5.927770859277708
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.1506849315068493,
            "horizon": 1.8181818181818181
          },
          {
            "gamma": 0.46,
            "value": [
              1.8518518518518516,
              5.995498260691631
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.0939226519337009,
            "horizon": 1.8518518518518516
          },
          {
            "gamma": 0.47,
            "value": [
              1.8867924528301885,
              6.065065433331582
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.036211699164345,
            "horizon": 1.8867924528301885
          },
          {
            "gamma": 0.48,
            "value": [
              1.923076923076923,
              6.136560069144339
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.97752808988764,
            "horizon": 1.923076923076923
          },
          {
            "gamma": 0.49,
            "value": [
              1.9607843137254901,
              6.210076098428041
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.9178470254957503,
            "horizon": 1.9607843137254901
          },
          {
            "gamma": 0.5,
            "value": [
              2,
              6.2857142857142865
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.8571428571428568,
            "horizon": 2
          },
          {
            "gamma": 0.51,
            "value": [
              2.0408163265306123,
              6.3635828971357995
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7953890489913547,
            "horizon": 2.0408163265306123
          },
          {
            "gamma": 0.52,
            "value": [
              2.0833333333333335,
              6.443798449612404
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7325581395348832,
            "horizon": 2.0833333333333335
          },
          {
            "gamma": 0.53,
            "value": [
              2.127659574468085,
              6.526486553940226
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6686217008797648,
            "horizon": 2.127659574468085
          },
          {
            "gamma": 0.54,
            "value": [
              2.173913043478261,
              6.611782865963469
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6035502958579877,
            "horizon": 2.173913043478261
          },
          {
            "gamma": 0.55,
            "value": [
              2.2222222222222223,
              6.69983416252073
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.5373134328358202,
            "horizon": 2.2222222222222223
          },
          {
            "gamma": 0.56,
            "value": [
              2.272727272727273,
              6.790799561883901
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.4698795180722879,
            "horizon": 2.272727272727273
          },
          {
            "gamma": 0.57,
            "value": [
              2.325581395348837,
              6.8848519120661615
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.401215805471125,
            "horizon": 2.325581395348837
          },
          {
            "gamma": 0.58,
            "value": [
              2.380952380952381,
              6.982179374817411
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.3312883435582825,
            "horizon": 2.380952380952381
          },
          {
            "gamma": 0.59,
            "value": [
              2.4390243902439024,
              7.082987238541115
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.26006191950464475,
            "horizon": 2.4390243902439024
          },
          {
            "gamma": 0.6,
            "value": [
              2.5,
              7.187499999999999
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.1875000000000009,
            "horizon": 2.5
          },
          {
            "gamma": 0.61,
            "value": [
              2.564102564102564,
              7.295963762840733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.11356466876971627,
            "horizon": 2.564102564102564
          },
          {
            "gamma": 0.62,
            "value": [
              2.6315789473684212,
              7.408649011062689
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.03821656050955369,
            "horizon": 2.6315789473684212
          },
          {
            "gamma": 0.625,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policy": [
              0,
              0
            ],
            "campTie": true,
            "campGap": -4.440892098500626e-16,
            "horizon": 2.6666666666666665
          },
          {
            "gamma": 0.63,
            "value": [
              2.754511700198601,
              7.546843968569209
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0191693290734829,
            "horizon": 2.7027027027027026
          },
          {
            "gamma": 0.64,
            "value": [
              2.937013446567587,
              7.714083510261855
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.05732484076433142,
            "horizon": 2.7777777777777777
          },
          {
            "gamma": 0.65,
            "value": [
              3.129251700680274,
              7.891156462585035
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0952380952380949,
            "horizon": 2.857142857142857
          },
          {
            "gamma": 0.66,
            "value": [
              3.3320923306031274,
              8.078927773641102
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1329113924050631,
            "horizon": 2.9411764705882355
          },
          {
            "gamma": 0.67,
            "value": [
              3.5465060701653774,
              8.278367268903548
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1703470031545744,
            "horizon": 3.0303030303030307
          },
          {
            "gamma": 0.68,
            "value": [
              3.773584905660378,
              8.490566037735851
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.20754716981132226,
            "horizon": 3.1250000000000004
          },
          {
            "gamma": 0.69,
            "value": [
              4.014561634138941,
              8.716755991505714
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2445141065830727,
            "horizon": 3.2258064516129026
          },
          {
            "gamma": 0.7,
            "value": [
              4.270833333333332,
              8.95833333333333
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2812499999999991,
            "horizon": 3.333333333333333
          },
          {
            "gamma": 0.71,
            "value": [
              4.543989687399291,
              9.216886883660973
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.31775700934579376,
            "horizon": 3.4482758620689653
          },
          {
            "gamma": 0.72,
            "value": [
              4.835847382431233,
              9.494232475598935
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.354037267080745,
            "horizon": 3.571428571428571
          },
          {
            "gamma": 0.73,
            "value": [
              5.14849214539617,
              9.792454993693381
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.39009287925696423,
            "horizon": 3.7037037037037033
          },
          {
            "gamma": 0.74,
            "value": [
              5.484330484330483,
              10.113960113960113
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.4259259259259256,
            "horizon": 3.846153846153846
          },
          {
            "gamma": 0.75,
            "value": [
              5.846153846153846,
              10.461538461538462
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.46153846153846256,
            "horizon": 4
          },
          {
            "gamma": 0.76,
            "value": [
              6.237218813905932,
              10.838445807770963
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.49693251533742266,
            "horizon": 4.166666666666667
          },
          {
            "gamma": 0.77,
            "value": [
              6.661348224970084,
              11.248504188272838
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.532110091743121,
            "horizon": 4.347826086956522
          },
          {
            "gamma": 0.78,
            "value": [
              7.123059866962307,
              11.696230598669622
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.5670731707317067,
            "horizon": 4.545454545454546
          },
          {
            "gamma": 0.79,
            "value": [
              7.6277319438413675,
              12.187002460558695
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6018237082066893,
            "horizon": 4.761904761904763
          },
          {
            "gamma": 0.8,
            "value": [
              8.181818181818185,
              12.727272727272732
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6363636363636385,
            "horizon": 5.000000000000001
          },
          {
            "gamma": 0.81,
            "value": [
              8.793130863412312,
              13.324852917792974
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6706948640483379,
            "horizon": 5.263157894736843
          },
          {
            "gamma": 0.82,
            "value": [
              9.471218206157964,
              13.989290495314588
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7048192771084327,
            "horizon": 5.5555555555555545
          },
          {
            "gamma": 0.83,
            "value": [
              10.227874933757283,
              14.732379438261788
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7387387387387392,
            "horizon": 5.882352941176469
          },
          {
            "gamma": 0.84,
            "value": [
              11.077844311377243,
              15.5688622754491
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7724550898203599,
            "horizon": 6.249999999999999
          },
          {
            "gamma": 0.85,
            "value": [
              12.039800995024873,
              16.51741293532338
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8059701492537332,
            "horizon": 6.666666666666666
          },
          {
            "gamma": 0.86,
            "value": [
              13.137755102040815,
              17.60204081632653
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8392857142857135,
            "horizon": 7.142857142857142
          },
          {
            "gamma": 0.87,
            "value": [
              14.403104314083542,
              18.854142889751195
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8724035608308576,
            "horizon": 7.692307692307692
          },
          {
            "gamma": 0.88,
            "value": [
              15.877712031558186,
              20.315581854043394
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9053254437869818,
            "horizon": 8.333333333333334
          },
          {
            "gamma": 0.89,
            "value": [
              17.618664521319392,
              22.04344328238134
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9380530973451329,
            "horizon": 9.090909090909092
          },
          {
            "gamma": 0.9,
            "value": [
              19.705882352941185,
              24.117647058823533
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.970588235294116,
            "horizon": 10.000000000000002
          },
          {
            "gamma": 0.91,
            "value": [
              22.254806125773875,
              26.653633105246016
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.002932551319649,
            "horizon": 11.111111111111114
          },
          {
            "gamma": 0.92,
            "value": [
              25.438596491228086,
              29.82456140350879
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0350877192982466,
            "horizon": 12.500000000000007
          },
          {
            "gamma": 0.93,
            "value": [
              29.52936276551439,
              33.90254060807999
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0670553935860099,
            "horizon": 14.285714285714295
          },
          {
            "gamma": 0.94,
            "value": [
              34.98062015503873,
              39.3410852713178
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0988372093023244,
            "horizon": 16.666666666666654
          },
          {
            "gamma": 0.95,
            "value": [
              42.60869565217387,
              46.95652173913039
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1304347826086882,
            "horizon": 19.999999999999982
          },
          {
            "gamma": 0.96,
            "value": [
              54.04624277456642,
              58.38150289017335
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1618497109826507,
            "horizon": 24.99999999999998
          },
          {
            "gamma": 0.97,
            "value": [
              73.102785782901,
              77.42555235350619
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1930835734870442,
            "horizon": 33.33333333333331
          },
          {
            "gamma": 0.98,
            "value": [
              111.20689655172404,
              115.51724137931022
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2241379310344485,
            "horizon": 49.99999999999996
          },
          {
            "gamma": 0.99,
            "value": [
              225.5014326647562,
              229.79942693409717
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2550143266475686,
            "horizon": 99.99999999999991
          },
          {
            "gamma": 1,
            "value": null,
            "policy": null,
            "campTie": false,
            "campGap": null,
            "horizon": null
          }
        ],
        "scope": "已知有限模型的确定性演示。数学界在实数算术下成立；此处为普通双精度读数，未做向外舍入区间认证。γ=1仅报告有限轮，不给无限时域价值或收敛证书。并列时确定性选第一动作，原始动作差保留。"
      }
    },
    {
      "key": "offset",
      "data": {
        "version": 178,
        "parameters": {
          "gamma": 0.8,
          "steps": 40,
          "camp": 25,
          "mine": 25,
          "shift": 25,
          "epsilon": 0.1,
          "pattern": "bias",
          "tolerance": 0.05
        },
        "model": [
          [
            {
              "name": "采集",
              "r": 1,
              "p": [
                1,
                0
              ]
            },
            {
              "name": "远行",
              "r": -2,
              "p": [
                0,
                1
              ]
            }
          ],
          [
            {
              "name": "收获",
              "r": 4,
              "p": [
                0.4,
                0.6
              ]
            },
            {
              "name": "返回",
              "r": 2,
              "p": [
                1,
                0
              ]
            }
          ]
        ],
        "star": [
          8.181818181818185,
          12.727272727272732
        ],
        "initialError": 16.818181818181813,
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "matrix": [
              [
                0.19999999999999996,
                0
              ],
              [
                -0.32000000000000006,
                0.52
              ]
            ],
            "det": 0.10399999999999998,
            "value": [
              5.000000000000001,
              10.76923076923077
            ],
            "q": [
              [
                5.000000000000001,
                6.615384615384617
              ],
              [
                10.76923076923077,
                6.000000000000001
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              1.6153846153846159,
              0
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "matrix": [
              [
                0.19999999999999996,
                0
              ],
              [
                -0.8,
                1
              ]
            ],
            "det": 0.19999999999999996,
            "value": [
              5.000000000000001,
              6.000000000000001
            ],
            "q": [
              [
                5.000000000000001,
                2.8000000000000007
              ],
              [
                8.48,
                6.000000000000001
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              2.4799999999999995
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "matrix": [
              [
                1,
                -0.8
              ],
              [
                -0.32000000000000006,
                0.52
              ]
            ],
            "det": 0.26399999999999996,
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "q": [
              [
                7.545454545454547,
                8.181818181818183
              ],
              [
                12.727272727272728,
                8.545454545454547
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              0
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "matrix": [
              [
                1,
                -0.8
              ],
              [
                -0.8,
                1
              ]
            ],
            "det": 0.3599999999999999,
            "value": [
              -1.1111111111111112,
              1.1111111111111112
            ],
            "q": [
              [
                0.11111111111111105,
                -1.1111111111111112
              ],
              [
                4.177777777777778,
                1.1111111111111112
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              1.2222222222222223,
              3.066666666666667
            ]
          }
        ],
        "rows": [
          {
            "k": 0,
            "value": [
              25,
              25
            ],
            "q": [
              [
                21,
                18
              ],
              [
                24,
                22
              ]
            ],
            "tv": [
              21,
              24
            ],
            "delta": [
              -4,
              -1
            ],
            "residual": 4,
            "minDelta": -4,
            "maxDelta": -1,
            "spanDelta": 3,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              5.000000000000001,
              10.76923076923077
            ],
            "policyLoss": 3.1818181818181843,
            "policyBound": 12.000000000000005,
            "error": 16.818181818181813,
            "geometricBound": 16.818181818181813,
            "residualBound": 20.000000000000004,
            "lower": [
              4.9999999999999964,
              4.9999999999999964
            ],
            "upper": [
              20,
              20
            ],
            "policyLower": [
              4.9999999999999964,
              7.9999999999999964
            ],
            "optimalUpper": [
              17,
              20
            ],
            "certifiedStop": false,
            "shifted": [
              50,
              50
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -9,
              -6
            ],
            "approximate": [
              25,
              25
            ],
            "approximateTV": [
              21,
              24
            ],
            "approximateDelta": [
              -4,
              -1
            ],
            "approximateResidual": 4,
            "approximateError": 16.818181818181813,
            "approximateBound": 16.818181818181813,
            "pathDistance": 0,
            "pathBound": 0,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 3.8999999999999986
          },
          {
            "k": 1,
            "value": [
              21,
              24
            ],
            "q": [
              [
                17.8,
                17.200000000000003
              ],
              [
                22.24,
                18.8
              ]
            ],
            "tv": [
              17.8,
              22.24
            ],
            "delta": [
              -3.1999999999999993,
              -1.7600000000000016
            ],
            "residual": 3.1999999999999993,
            "minDelta": -3.1999999999999993,
            "maxDelta": -1.7600000000000016,
            "spanDelta": 1.4399999999999977,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              5.000000000000001,
              10.76923076923077
            ],
            "policyLoss": 3.1818181818181843,
            "policyBound": 5.759999999999992,
            "error": 12.818181818181815,
            "geometricBound": 13.454545454545451,
            "residualBound": 16,
            "lower": [
              5,
              8
            ],
            "upper": [
              12.19999999999999,
              15.19999999999999
            ],
            "policyLower": [
              5,
              9.439999999999998
            ],
            "optimalUpper": [
              10.759999999999993,
              15.19999999999999
            ],
            "certifiedStop": false,
            "shifted": [
              41,
              44
            ],
            "shiftDifference": [
              20,
              20
            ],
            "shiftExpected": 20,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -7.199999999999996,
              -5.759999999999998
            ],
            "approximate": [
              21.1,
              24.1
            ],
            "approximateTV": [
              17.880000000000003,
              22.320000000000004
            ],
            "approximateDelta": [
              -3.219999999999999,
              -1.7799999999999976
            ],
            "approximateResidual": 3.219999999999999,
            "approximateError": 12.918181818181816,
            "approximateBound": 13.554545454545451,
            "pathDistance": 0.10000000000000142,
            "pathBound": 0.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 3.1199999999999974
          },
          {
            "k": 2,
            "value": [
              17.8,
              22.24
            ],
            "q": [
              [
                15.240000000000002,
                15.791999999999998
              ],
              [
                20.371199999999998,
                16.240000000000002
              ]
            ],
            "tv": [
              15.791999999999998,
              20.371199999999998
            ],
            "delta": [
              -2.0080000000000027,
              -1.8688000000000002
            ],
            "residual": 2.0080000000000027,
            "minDelta": -2.0080000000000027,
            "maxDelta": -1.8688000000000002,
            "spanDelta": 0.13920000000000243,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.55680000000001,
            "error": 9.618181818181816,
            "geometricBound": 10.763636363636362,
            "residualBound": 10.040000000000015,
            "lower": [
              7.759999999999986,
              12.199999999999983
            ],
            "upper": [
              8.455999999999998,
              12.895999999999995
            ],
            "policyLower": [
              7.759999999999986,
              12.339199999999986
            ],
            "optimalUpper": [
              8.316799999999994,
              12.895999999999994
            ],
            "certifiedStop": false,
            "shifted": [
              33.800000000000004,
              38.24
            ],
            "shiftDifference": [
              16.000000000000004,
              16.000000000000004
            ],
            "shiftExpected": 16.000000000000004,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -5.208000000000002,
              -5.068800000000003
            ],
            "approximate": [
              17.980000000000004,
              22.420000000000005
            ],
            "approximateTV": [
              15.936000000000003,
              20.515200000000004
            ],
            "approximateDelta": [
              -2.0440000000000005,
              -1.9048000000000016
            ],
            "approximateResidual": 2.0440000000000005,
            "approximateError": 9.798181818181819,
            "approximateBound": 10.943636363636362,
            "pathDistance": 0.18000000000000682,
            "pathBound": 0.18,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.943999999999999
          },
          {
            "k": 3,
            "value": [
              15.791999999999998,
              20.371199999999998
            ],
            "q": [
              [
                13.6336,
                14.296959999999999
              ],
              [
                18.831616,
                14.6336
              ]
            ],
            "tv": [
              14.296959999999999,
              18.831616
            ],
            "delta": [
              -1.4950399999999995,
              -1.5395839999999978
            ],
            "residual": 1.5395839999999978,
            "minDelta": -1.5395839999999978,
            "maxDelta": -1.4950399999999995,
            "spanDelta": 0.04454399999999836,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.1781759999999935,
            "error": 7.643927272727266,
            "geometricBound": 8.61090909090909,
            "residualBound": 7.697919999999991,
            "lower": [
              8.094080000000007,
              12.673280000000007
            ],
            "upper": [
              8.316799999999999,
              12.895999999999999
            ],
            "policyLower": [
              8.138624000000005,
              12.673280000000007
            ],
            "optimalUpper": [
              8.3168,
              12.851456000000002
            ],
            "certifiedStop": false,
            "shifted": [
              28.592000000000002,
              33.1712
            ],
            "shiftDifference": [
              12.800000000000004,
              12.8
            ],
            "shiftExpected": 12.800000000000002,
            "shiftDefect": [
              1.7763568394002505e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -4.055040000000002,
              -4.099583999999997
            ],
            "approximate": [
              16.036000000000005,
              20.615200000000005
            ],
            "approximateTV": [
              14.492160000000005,
              19.026816000000004
            ],
            "approximateDelta": [
              -1.5438399999999994,
              -1.5883840000000014
            ],
            "approximateResidual": 1.5883840000000014,
            "approximateError": 7.887927272727273,
            "approximateBound": 8.85490909090909,
            "pathDistance": 0.24400000000000688,
            "pathBound": 0.244,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.488384
          },
          {
            "k": 4,
            "value": [
              14.296959999999999,
              18.831616
            ],
            "q": [
              [
                12.437567999999999,
                13.065292800000002
              ],
              [
                17.61420288,
                13.437567999999999
              ]
            ],
            "tv": [
              13.065292800000002,
              17.61420288
            ],
            "delta": [
              -1.2316671999999969,
              -1.2174131199999998
            ],
            "residual": 1.2316671999999969,
            "minDelta": -1.2316671999999969,
            "maxDelta": -1.2174131199999998,
            "spanDelta": 0.01425407999999706,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.05701631999998826,
            "error": 6.115141818181813,
            "geometricBound": 6.888727272727272,
            "residualBound": 6.158335999999986,
            "lower": [
              8.138624000000013,
              12.673280000000014
            ],
            "upper": [
              8.209894399999998,
              12.7445504
            ],
            "policyLower": [
              8.138624000000014,
              12.687534080000013
            ],
            "optimalUpper": [
              8.19564032,
              12.7445504
            ],
            "certifiedStop": false,
            "shifted": [
              24.53696,
              29.071616000000002
            ],
            "shiftDifference": [
              10.240000000000002,
              10.240000000000002
            ],
            "shiftExpected": 10.240000000000002,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -3.2796671999999987,
              -3.2654131200000016
            ],
            "approximate": [
              14.592160000000005,
              19.126816000000005
            ],
            "approximateTV": [
              13.301452800000005,
              17.850362880000006
            ],
            "approximateDelta": [
              -1.2907072,
              -1.2764531199999993
            ],
            "approximateResidual": 1.2907072,
            "approximateError": 6.41034181818182,
            "approximateBound": 7.1839272727272725,
            "pathDistance": 0.29520000000000657,
            "pathBound": 0.2952000000000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 1.1907072000000003
          },
          {
            "k": 5,
            "value": [
              13.065292800000002,
              17.61420288
            ],
            "q": [
              [
                11.452234240000003,
                12.091362304
              ],
              [
                16.6357110784,
                12.452234240000003
              ]
            ],
            "tv": [
              12.091362304,
              16.6357110784
            ],
            "delta": [
              -0.9739304960000013,
              -0.9784918016000006
            ],
            "residual": 0.9784918016000006,
            "minDelta": -0.9784918016000006,
            "maxDelta": -0.9739304960000013,
            "spanDelta": 0.0045613055999993435,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.018245222399997377,
            "error": 4.886930152727269,
            "geometricBound": 5.5109818181818175,
            "residualBound": 4.892459008000004,
            "lower": [
              8.172833791999999,
              12.721743871999998
            ],
            "upper": [
              8.195640319999995,
              12.744550399999994
            ],
            "policyLower": [
              8.177395097599998,
              12.721743871999998
            ],
            "optimalUpper": [
              8.195640319999995,
              12.739989094399995
            ],
            "certifiedStop": false,
            "shifted": [
              21.257292800000002,
              25.80620288
            ],
            "shiftDifference": [
              8.192,
              8.192
            ],
            "shiftExpected": 8.192000000000002,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -2.6123304959999984,
              -2.6168918016000013
            ],
            "approximate": [
              13.401452800000005,
              17.950362880000007
            ],
            "approximateTV": [
              12.360290304000007,
              16.904639078400002
            ],
            "approximateDelta": [
              -1.0411624959999983,
              -1.0457238016000048
            ],
            "approximateResidual": 1.0457238016000048,
            "approximateError": 5.223090152727275,
            "approximateBound": 5.847141818181818,
            "pathDistance": 0.3361600000000067,
            "pathBound": 0.33616,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.9457238016000034
          },
          {
            "k": 6,
            "value": [
              12.091362304,
              16.6357110784
            ],
            "q": [
              [
                10.673089843200001,
                11.308568862720001
              ],
              [
                15.854377254912002,
                11.673089843200001
              ]
            ],
            "tv": [
              11.308568862720001,
              15.854377254912002
            ],
            "delta": [
              -0.7827934412799991,
              -0.7813338234879978
            ],
            "residual": 0.7827934412799991,
            "minDelta": -0.7827934412799991,
            "maxDelta": -0.7813338234879978,
            "spanDelta": 0.001459617792001211,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.005838471168004845,
            "error": 3.9095441221818152,
            "geometricBound": 4.408785454545455,
            "residualBound": 3.913967206399996,
            "lower": [
              8.177395097600005,
              12.721743872000005
            ],
            "upper": [
              8.184693186560011,
              12.72904196096001
            ],
            "policyLower": [
              8.177395097600003,
              12.723203489792004
            ],
            "optimalUpper": [
              8.183233568768008,
              12.729041960960009
            ],
            "certifiedStop": false,
            "shifted": [
              18.644962304000003,
              23.1893110784
            ],
            "shiftDifference": [
              6.553600000000003,
              6.553599999999999
            ],
            "shiftExpected": 6.553600000000002,
            "shiftDefect": [
              8.881784197001252e-16,
              -2.6645352591003757e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -2.0935134412800025,
              -2.0920538234879977
            ],
            "approximate": [
              12.460290304000006,
              17.004639078400004
            ],
            "approximateTV": [
              11.603711262720005,
              16.149519654912005
            ],
            "approximateDelta": [
              -0.8565790412800016,
              -0.8551194234879986
            ],
            "approximateResidual": 0.8565790412800016,
            "approximateError": 4.278472122181821,
            "approximateBound": 4.777713454545455,
            "pathDistance": 0.3689280000000057,
            "pathBound": 0.36892800000000003,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.756579041280002
          },
          {
            "k": 7,
            "value": [
              11.308568862720001,
              15.854377254912002
            ],
            "q": [
              [
                10.046855090176,
                10.683501803929602
              ],
              [
                15.228843118428163,
                11.046855090176
              ]
            ],
            "tv": [
              10.683501803929602,
              15.228843118428163
            ],
            "delta": [
              -0.6250670587903997,
              -0.6255341364838394
            ],
            "residual": 0.6255341364838394,
            "minDelta": -0.6255341364838394,
            "maxDelta": -0.6250670587903997,
            "spanDelta": 0.000467077693439677,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.0018683107737587086,
            "error": 3.12710452763927,
            "geometricBound": 3.5270283636363637,
            "residualBound": 3.1276706824191978,
            "lower": [
              8.180898180300805,
              12.726706572492805
            ],
            "upper": [
              8.183233568768003,
              12.729041960960004
            ],
            "policyLower": [
              8.181365257994244,
              12.726706572492805
            ],
            "optimalUpper": [
              8.183233568768003,
              12.728574883266564
            ],
            "certifiedStop": false,
            "shifted": [
              16.55144886272,
              21.097257254912
            ],
            "shiftDifference": [
              5.2428799999999995,
              5.2428799999999995
            ],
            "shiftExpected": 5.242880000000002,
            "shiftDefect": [
              -2.6645352591003757e-15,
              -2.6645352591003757e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -1.6736430587904003,
              -1.67411013648384
            ],
            "approximate": [
              11.703711262720004,
              16.249519654912007
            ],
            "approximateTV": [
              10.999615723929606,
              15.544957038428166
            ],
            "approximateDelta": [
              -0.7040955387903978,
              -0.704562616483841
            ],
            "approximateResidual": 0.704562616483841,
            "approximateError": 3.5222469276392747,
            "approximateBound": 3.922170763636364,
            "pathDistance": 0.39514240000000456,
            "pathBound": 0.39514240000000006,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.6045626164838414
          },
          {
            "k": 8,
            "value": [
              10.683501803929602,
              15.228843118428163
            ],
            "q": [
              [
                9.546801443143682,
                10.183074494742531
              ],
              [
                14.72856527410299,
                10.546801443143682
              ]
            ],
            "tv": [
              10.183074494742531,
              14.72856527410299
            ],
            "delta": [
              -0.5004273091870708,
              -0.5002778443251721
            ],
            "residual": 0.5004273091870708,
            "minDelta": -0.5004273091870708,
            "maxDelta": -0.5002778443251721,
            "spanDelta": 0.0001494648618987071,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.0005978594475948287,
            "error": 2.5016836221114165,
            "geometricBound": 2.8216226909090913,
            "residualBound": 2.5021365459353544,
            "lower": [
              8.181365257994248,
              12.726706572492809
            ],
            "upper": [
              8.182112582303741,
              12.727453896802302
            ],
            "policyLower": [
              8.181365257994248,
              12.726856037354707
            ],
            "optimalUpper": [
              8.181963117441843,
              12.727453896802302
            ],
            "certifiedStop": false,
            "shifted": [
              14.8778058039296,
              19.42314711842816
            ],
            "shiftDifference": [
              4.194303999999999,
              4.194303999999999
            ],
            "shiftExpected": 4.1943040000000025,
            "shiftDefect": [
              -3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -1.3392881091870699,
              -1.3391386443251712
            ],
            "approximate": [
              11.099615723929606,
              15.644957038428165
            ],
            "approximateTV": [
              10.515965630742533,
              15.061456410102995
            ],
            "approximateDelta": [
              -0.5836500931870727,
              -0.5835006283251705
            ],
            "approximateResidual": 0.5836500931870727,
            "approximateError": 2.917797542111421,
            "approximateBound": 3.2377366109090913,
            "pathDistance": 0.41611392000000436,
            "pathBound": 0.41611392000000014,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.4836500931870731
          },
          {
            "k": 9,
            "value": [
              10.183074494742531,
              14.72856527410299
            ],
            "q": [
              [
                9.146459595794026,
                9.782852219282393
              ],
              [
                14.328295169887046,
                10.146459595794026
              ]
            ],
            "tv": [
              9.782852219282393,
              14.328295169887046
            ],
            "delta": [
              -0.40022227546013767,
              -0.4002701042159451
            ],
            "residual": 0.4002701042159451,
            "minDelta": -0.4002701042159451,
            "maxDelta": -0.40022227546013767,
            "spanDelta": 4.782875580744417e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0.00019131502322977672,
            "error": 2.0012925468302587,
            "geometricBound": 2.257298152727273,
            "residualBound": 2.001350521079726,
            "lower": [
              8.181723973662805,
              12.727214753023265
            ],
            "upper": [
              8.181963117441843,
              12.727453896802302
            ],
            "policyLower": [
              8.181771802418613,
              12.727214753023265
            ],
            "optimalUpper": [
              8.181963117441843,
              12.727406068046495
            ],
            "certifiedStop": false,
            "shifted": [
              13.53851769474253,
              18.08400847410299
            ],
            "shiftDifference": [
              3.3554432,
              3.3554432
            ],
            "shiftExpected": 3.3554432000000016,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -1.0713109154601383,
              -1.0713587442159458
            ],
            "approximate": [
              10.615965630742533,
              15.161456410102994
            ],
            "approximateTV": [
              10.129165128082397,
              14.67460807868705
            ],
            "approximateDelta": [
              -0.4868005026601363,
              -0.48684833141594375
            ],
            "approximateResidual": 0.48684833141594375,
            "approximateError": 2.4341836828302625,
            "approximateBound": 2.6901892887272734,
            "pathDistance": 0.43289113600000384,
            "pathBound": 0.43289113600000007,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.3868483314159441
          },
          {
            "k": 10,
            "value": [
              9.782852219282393,
              14.328295169887046
            ],
            "q": [
              [
                8.826281775425915,
                9.462636135909637
              ],
              [
                14.00809439171615,
                9.826281775425915
              ]
            ],
            "tv": [
              9.462636135909637,
              14.00809439171615
            ],
            "delta": [
              -0.3202160833727561,
              -0.3202007781708964
            ],
            "residual": 0.3202160833727561,
            "minDelta": -0.3202160833727561,
            "maxDelta": -0.3202007781708964,
            "spanDelta": 1.530520185966111e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.122080743864447e-05,
            "error": 1.601034037464208,
            "geometricBound": 1.8058385221818187,
            "residualBound": 1.6010804168637809,
            "lower": [
              8.181771802418613,
              12.727214753023265
            ],
            "upper": [
              8.181848328427911,
              12.727291279032563
            ],
            "policyLower": [
              8.181771802418613,
              12.727230058225125
            ],
            "optimalUpper": [
              8.181833023226051,
              12.727291279032563
            ],
            "certifiedStop": false,
            "shifted": [
              12.467206779282392,
              17.012649729887045
            ],
            "shiftDifference": [
              2.684354559999999,
              2.684354559999999
            ],
            "shiftExpected": 2.6843545600000014,
            "shiftDefect": [
              -2.220446049250313e-15,
              -2.220446049250313e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.8570869953727556,
              -0.8570716901708977
            ],
            "approximate": [
              10.229165128082396,
              14.77460807868705
            ],
            "approximateTV": [
              9.81968646294964,
              14.36514471875615
            ],
            "approximateDelta": [
              -0.409478665132756,
              -0.4094633599308999
            ],
            "approximateResidual": 0.409478665132756,
            "approximateError": 2.047346946264211,
            "approximateBound": 2.2521514309818187,
            "pathDistance": 0.44631290880000485,
            "pathBound": 0.4463129088000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.30947866513275635
          },
          {
            "k": 11,
            "value": [
              9.462636135909637,
              14.00809439171615
            ],
            "q": [
              [
                8.570108908727711,
                9.20647551337292
              ],
              [
                13.751928871514837,
                9.570108908727711
              ]
            ],
            "tv": [
              9.20647551337292,
              13.751928871514837
            ],
            "delta": [
              -0.2561606225367168,
              -0.25616552020131245
            ],
            "residual": 0.25616552020131245,
            "minDelta": -0.25616552020131245,
            "maxDelta": -0.2561606225367168,
            "spanDelta": 4.8976645956599896e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 1.9590658382639965e-05,
            "error": 1.2808216644434172,
            "geometricBound": 1.444670817745455,
            "residualBound": 1.2808276010065625,
            "lower": [
              8.181808534903075,
              12.727266790709587
            ],
            "upper": [
              8.181833023226053,
              12.727291279032565
            ],
            "policyLower": [
              8.18181343256767,
              12.727266790709587
            ],
            "optimalUpper": [
              8.181833023226053,
              12.72728638136797
            ],
            "certifiedStop": false,
            "shifted": [
              11.610119783909637,
              16.155578039716147
            ],
            "shiftDifference": [
              2.1474836479999997,
              2.147483647999998
            ],
            "shiftExpected": 2.1474836480000015,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.6856573521367189,
              -0.6856622498013127
            ],
            "approximate": [
              9.91968646294964,
              14.46514471875615
            ],
            "approximateTV": [
              9.57211577500492,
              14.117569133146837
            ],
            "approximateDelta": [
              -0.3475706879447191,
              -0.347575585609313
            ],
            "approximateResidual": 0.347575585609313,
            "approximateError": 1.7378719914834182,
            "approximateBound": 1.9017211447854552,
            "pathDistance": 0.4570503270400028,
            "pathBound": 0.4570503270400001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.24757558560931336
          },
          {
            "k": 12,
            "value": [
              9.20647551337292,
              13.751928871514837
            ],
            "q": [
              [
                8.365180410698336,
                9.00154309721187
              ],
              [
                13.546998022606457,
                9.365180410698336
              ]
            ],
            "tv": [
              9.00154309721187,
              13.546998022606457
            ],
            "delta": [
              -0.20493241616104996,
              -0.2049308489083792
            ],
            "residual": 0.20493241616104996,
            "minDelta": -0.20493241616104996,
            "maxDelta": -0.2049308489083792,
            "spanDelta": 1.5672526707533052e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.269010683013223e-06,
            "error": 1.0246573315547352,
            "geometricBound": 1.155736654196364,
            "residualBound": 1.02466208080525,
            "lower": [
              8.18181343256767,
              12.727266790709587
            ],
            "upper": [
              8.181821268831024,
              12.72727462697294
            ],
            "policyLower": [
              8.18181343256767,
              12.727268357962258
            ],
            "optimalUpper": [
              8.181819701578354,
              12.72727462697294
            ],
            "certifiedStop": false,
            "shifted": [
              10.924462431772918,
              15.469915789914834
            ],
            "shiftDifference": [
              1.7179869183999976,
              1.7179869183999976
            ],
            "shiftExpected": 1.717986918400001,
            "shiftDefect": [
              -3.3306690738754696e-15,
              -3.3306690738754696e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.5485297998410505,
              -0.5485282325883798
            ],
            "approximate": [
              9.67211577500492,
              14.217569133146837
            ],
            "approximateTV": [
              9.37405530651747,
              13.919510231912056
            ],
            "approximateDelta": [
              -0.29806046848745105,
              -0.2980589012347803
            ],
            "approximateResidual": 0.29806046848745105,
            "approximateError": 1.4902975931867353,
            "approximateBound": 1.6213769158283642,
            "pathDistance": 0.4656402616320001,
            "pathBound": 0.4656402616320001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.1980604684874514
          },
          {
            "k": 13,
            "value": [
              9.00154309721187,
              13.546998022606457
            ],
            "q": [
              [
                8.201234477769496,
                8.837598418085166
              ],
              [
                13.383052841958898,
                9.201234477769496
              ]
            ],
            "tv": [
              8.837598418085166,
              13.383052841958898
            ],
            "delta": [
              -0.16394467912670407,
              -0.16394518064755914
            ],
            "residual": 0.16394518064755914,
            "minDelta": -0.16394518064755914,
            "maxDelta": -0.16394467912670407,
            "spanDelta": 5.015208550673833e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.006083420269534e-06,
            "error": 0.8197252953337255,
            "geometricBound": 0.9245893233570912,
            "residualBound": 0.8197259032377959,
            "lower": [
              8.181817193974075,
              12.727272119368662
            ],
            "upper": [
              8.18181970157835,
              12.727274626972937
            ],
            "policyLower": [
              8.18181769549493,
              12.727272119368662
            ],
            "optimalUpper": [
              8.18181970157835,
              12.727274125452082
            ],
            "certifiedStop": false,
            "shifted": [
              10.375932631931867,
              14.921387557326454
            ],
            "shiftDifference": [
              1.374389534719997,
              1.374389534719997
            ],
            "shiftExpected": 1.3743895347200008,
            "shiftDefect": [
              -3.774758283725532e-15,
              -3.774758283725532e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.4388225860707031,
              -0.4388230875915582
            ],
            "approximate": [
              9.474055306517469,
              14.019510231912056
            ],
            "approximateTV": [
              9.215608185529646,
              13.761062609403377
            ],
            "approximateDelta": [
              -0.25844712098782274,
              -0.2584476225086796
            ],
            "approximateResidual": 0.2584476225086796,
            "approximateError": 1.2922375046393242,
            "approximateBound": 1.3971015326626914,
            "pathDistance": 0.4725122093055987,
            "pathBound": 0.4725122093056001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.15844762250867994
          },
          {
            "k": 14,
            "value": [
              8.837598418085166,
              13.383052841958898
            ],
            "q": [
              [
                8.070078734468133,
                8.70644227356712
              ],
              [
                13.251896857927525,
                9.070078734468133
              ]
            ],
            "tv": [
              8.70644227356712,
              13.251896857927525
            ],
            "delta": [
              -0.13115614451804625,
              -0.1311559840313734
            ],
            "residual": 0.13115614451804625,
            "minDelta": -0.13115614451804625,
            "maxDelta": -0.1311559840313734,
            "spanDelta": 1.6048667283996565e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.419466913598627e-07,
            "error": 0.6557802362669811,
            "geometricBound": 0.7396714586856731,
            "residualBound": 0.6557807225902313,
            "lower": [
              8.181817695494935,
              12.727272119368667
            ],
            "upper": [
              8.1818184979283,
              12.727272921802031
            ],
            "policyLower": [
              8.181817695494935,
              12.72727227985534
            ],
            "optimalUpper": [
              8.181818337441626,
              12.727272921802031
            ],
            "certifiedStop": false,
            "shifted": [
              9.937110045861164,
              14.482564469734896
            ],
            "shiftDifference": [
              1.099511627775998,
              1.099511627775998
            ],
            "shiftExpected": 1.0995116277760009,
            "shiftDefect": [
              -2.886579864025407e-15,
              -2.886579864025407e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.3510584700732462,
              -0.3510583095865716
            ],
            "approximate": [
              9.315608185529646,
              13.861062609403376
            ],
            "approximateTV": [
              9.088850087522701,
              13.634304671883108
            ],
            "approximateDelta": [
              -0.22675809800694502,
              -0.22675793752026863
            ],
            "approximateResidual": 0.22675809800694502,
            "approximateError": 1.1337900037114608,
            "approximateBound": 1.217681226130153,
            "pathDistance": 0.47800976744447965,
            "pathBound": 0.4780097674444801,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.12675809800694537
          },
          {
            "k": 15,
            "value": [
              8.70644227356712,
              13.251896857927525
            ],
            "q": [
              [
                7.965153818853697,
                8.60151748634202
              ],
              [
                13.146972019346691,
                8.965153818853697
              ]
            ],
            "tv": [
              8.60151748634202,
              13.146972019346691
            ],
            "delta": [
              -0.10492478722509979,
              -0.10492483858083368
            ],
            "residual": 0.10492483858083368,
            "minDelta": -0.10492483858083368,
            "maxDelta": -0.10492478722509979,
            "spanDelta": 5.1355733887703536e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.054229355508142e-07,
            "error": 0.524624130654793,
            "geometricBound": 0.5917371669485385,
            "residualBound": 0.5246241929041685,
            "lower": [
              8.181818080662952,
              12.727272665023357
            ],
            "upper": [
              8.181818337441621,
              12.727272921802026
            ],
            "policyLower": [
              8.181818132018686,
              12.727272665023357
            ],
            "optimalUpper": [
              8.181818337441621,
              12.727272870446292
            ],
            "certifiedStop": false,
            "shifted": [
              9.586051575787918,
              14.131506160148325
            ],
            "shiftDifference": [
              0.879609302220798,
              0.8796093022207998
            ],
            "shiftExpected": 0.8796093022208008,
            "shiftDefect": [
              -2.7755575615628914e-15,
              -9.992007221626409e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.28084664766925727,
              -0.2808466990249947
            ],
            "approximate": [
              9.1888500875227,
              13.734304671883107
            ],
            "approximateTV": [
              8.987443737506487,
              13.532898270511156
            ],
            "approximateDelta": [
              -0.20140635001621376,
              -0.2014064013719512
            ],
            "approximateResidual": 0.2014064013719512,
            "approximateError": 1.0070319446103753,
            "approximateBound": 1.0741449809041226,
            "pathDistance": 0.4824078139555823,
            "pathBound": 0.4824078139555841,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.10140640137195156
          },
          {
            "k": 16,
            "value": [
              8.60151748634202,
              13.146972019346691
            ],
            "q": [
              [
                7.881213989073617,
                8.517577615477354
              ],
              [
                13.063032164915859,
                8.881213989073617
              ]
            ],
            "tv": [
              8.517577615477354,
              13.063032164915859
            ],
            "delta": [
              -0.08393987086466659,
              -0.08393985443083274
            ],
            "residual": 0.08393987086466659,
            "minDelta": -0.08393987086466659,
            "maxDelta": -0.08393985443083274,
            "spanDelta": 1.64338338493053e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.573533539722123e-08,
            "error": 0.4196993045238351,
            "geometricBound": 0.4733897335588308,
            "residualBound": 0.41969935432333305,
            "lower": [
              8.181818132018687,
              12.727272665023358
            ],
            "upper": [
              8.181818214187857,
              12.727272747192528
            ],
            "policyLower": [
              8.181818132018687,
              12.727272681457192
            ],
            "optimalUpper": [
              8.181818197754023,
              12.727272747192528
            ],
            "certifiedStop": false,
            "shifted": [
              9.30520492811866,
              13.85065946112333
            ],
            "shiftDifference": [
              0.7036874417766406,
              0.7036874417766388
            ],
            "shiftExpected": 0.7036874417766406,
            "shiftDefect": [
              0,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.22467735921999576,
              -0.22467734278616014
            ],
            "approximate": [
              9.087443737506486,
              13.632898270511156
            ],
            "approximateTV": [
              8.906318616408925,
              13.451773165847431
            ],
            "approximateDelta": [
              -0.18112512109756196,
              -0.18112510466372456
            ],
            "approximateResidual": 0.18112512109756196,
            "approximateError": 0.9056255556883013,
            "approximateBound": 0.9593159847232982,
            "pathDistance": 0.4859262511644662,
            "pathBound": 0.4859262511644673,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.08112512109756231
          },
          {
            "k": 17,
            "value": [
              8.517577615477354,
              13.063032164915859
            ],
            "q": [
              [
                7.814062092381883,
                8.450425731932688
              ],
              [
                12.995880276112365,
                8.814062092381883
              ]
            ],
            "tv": [
              8.450425731932688,
              12.995880276112365
            ],
            "delta": [
              -0.06715188354466584,
              -0.06715188880349388
            ],
            "residual": 0.06715188880349388,
            "minDelta": -0.06715188880349388,
            "maxDelta": -0.06715188354466584,
            "spanDelta": 5.258828039700347e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.1035312158801396e-08,
            "error": 0.33575943764312655,
            "geometricBound": 0.3787117868470647,
            "residualBound": 0.33575944401746943,
            "lower": [
              8.181818171459884,
              12.72727272089839
            ],
            "upper": [
              8.181818197754025,
              12.72727274719253
            ],
            "policyLower": [
              8.181818176718712,
              12.72727272089839
            ],
            "optimalUpper": [
              8.181818197754025,
              12.727272741933701
            ],
            "certifiedStop": false,
            "shifted": [
              9.080527568898665,
              13.62598211833717
            ],
            "shiftDifference": [
              0.5629499534213114,
              0.5629499534213114
            ],
            "shiftExpected": 0.5629499534213126,
            "shiftDefect": [
              -1.2212453270876722e-15,
              -1.2212453270876722e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.17974187422892918,
              -0.17974187948775544
            ],
            "approximate": [
              9.006318616408924,
              13.55177316584743
            ],
            "approximateTV": [
              8.841418532677945,
              13.386873076857624
            ],
            "approximateDelta": [
              -0.16490008373097886,
              -0.1649000889898069
            ],
            "approximateResidual": 0.1649000889898069,
            "approximateError": 0.8245004385746988,
            "approximateBound": 0.8674527877786385,
            "pathDistance": 0.48874100093157224,
            "pathBound": 0.48874100093157385,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.06490008898980726
          },
          {
            "k": 18,
            "value": [
              8.450425731932688,
              12.995880276112365
            ],
            "q": [
              [
                7.7603405855461505,
                8.396704220889893
              ],
              [
                12.942158766752396,
                8.76034058554615
              ]
            ],
            "tv": [
              8.396704220889893,
              12.942158766752396
            ],
            "delta": [
              -0.0537215110427951,
              -0.05372150935996878
            ],
            "residual": 0.0537215110427951,
            "minDelta": -0.0537215110427951,
            "maxDelta": -0.05372150935996878,
            "spanDelta": 1.682826322735309e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.731305290941239e-09,
            "error": 0.26860755011450266,
            "geometricBound": 0.30296942947765176,
            "residualBound": 0.26860755521397556,
            "lower": [
              8.181818176718712,
              12.72727272089839
            ],
            "upper": [
              8.181818185132844,
              12.72727272931252
            ],
            "policyLower": [
              8.181818176718712,
              12.727272722581215
            ],
            "optimalUpper": [
              8.181818183450018,
              12.72727272931252
            ],
            "certifiedStop": false,
            "shifted": [
              8.900785694669736,
              13.446240238849414
            ],
            "shiftDifference": [
              0.45035996273704804,
              0.4503599627370498
            ],
            "shiftExpected": 0.4503599627370501,
            "shiftDefect": [
              -2.0539125955565396e-15,
              -2.7755575615628914e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.14379350359020293,
              -0.14379350190738016
            ],
            "approximate": [
              8.941418532677945,
              13.486873076857623
            ],
            "approximateTV": [
              8.7894984614861,
              13.3349530073486
            ],
            "approximateDelta": [
              -0.1519200711918458,
              -0.15192006950902304
            ],
            "approximateResidual": 0.1519200711918458,
            "approximateError": 0.7596003508597597,
            "approximateBound": 0.7939622302229108,
            "pathDistance": 0.49099280074525886,
            "pathBound": 0.4909928007452591,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.05192007119184616
          },
          {
            "k": 19,
            "value": [
              8.396704220889893,
              12.942158766752396
            ],
            "q": [
              [
                7.717363376711915,
                8.353727013401917
              ],
              [
                12.899181558725916,
                8.717363376711916
              ]
            ],
            "tv": [
              8.353727013401917,
              12.899181558725916
            ],
            "delta": [
              -0.04297720748797573,
              -0.042977208026480085
            ],
            "residual": 0.042977208026480085,
            "minDelta": -0.042977208026480085,
            "maxDelta": -0.04297720748797573,
            "spanDelta": 5.385043522210253e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.154017408884102e-09,
            "error": 0.2148860394796639,
            "geometricBound": 0.24237554358212143,
            "residualBound": 0.21488604013240048,
            "lower": [
              8.181818180757492,
              12.727272726619995
            ],
            "upper": [
              8.181818183450014,
              12.727272729312517
            ],
            "policyLower": [
              8.181818181295997,
              12.727272726619995
            ],
            "optimalUpper": [
              8.181818183450014,
              12.727272728774013
            ],
            "certifiedStop": false,
            "shifted": [
              8.756992191079533,
              13.302446736942034
            ],
            "shiftDifference": [
              0.3602879701896402,
              0.36028797018963843
            ],
            "shiftExpected": 0.36028797018964004,
            "shiftDefect": [
              1.6653345369377348e-16,
              -1.609823385706477e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.11503480152590484,
              -0.11503480206440564
            ],
            "approximate": [
              8.889498461486099,
              13.4349530073486
            ],
            "approximateTV": [
              8.74796240587888,
              13.29341695120288
            ],
            "approximateDelta": [
              -0.1415360556072187,
              -0.1415360561457195
            ],
            "approximateResidual": 0.1415360561457195,
            "approximateError": 0.7076802800758681,
            "approximateBound": 0.7351697841783287,
            "pathDistance": 0.492794240596206,
            "pathBound": 0.4927942405962073,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.04153605614571987
          },
          {
            "k": 20,
            "value": [
              8.353727013401917,
              12.899181558725916
            ],
            "q": [
              [
                7.682981610721534,
                8.319345246980733
              ],
              [
                12.864799792477053,
                8.682981610721534
              ]
            ],
            "tv": [
              8.319345246980733,
              12.864799792477053
            ],
            "delta": [
              -0.03438176642118407,
              -0.034381766248863244
            ],
            "residual": 0.03438176642118407,
            "minDelta": -0.03438176642118407,
            "maxDelta": -0.034381766248863244,
            "spanDelta": 1.723208242765395e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 6.892832971061582e-10,
            "error": 0.17190883158373182,
            "geometricBound": 0.19390043486569716,
            "residualBound": 0.17190883210592037,
            "lower": [
              8.181818181295997,
              12.727272726619995
            ],
            "upper": [
              8.1818181821576,
              12.7272727274816
            ],
            "policyLower": [
              8.181818181295997,
              12.727272726792316
            ],
            "optimalUpper": [
              8.18181818198528,
              12.7272727274816
            ],
            "certifiedStop": false,
            "shifted": [
              8.641957389553628,
              13.187411934877629
            ],
            "shiftDifference": [
              0.2882303761517111,
              0.2882303761517129
            ],
            "shiftExpected": 0.2882303761517121,
            "shiftDefect": [
              -9.992007221626409e-16,
              7.771561172376096e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.09202784165152522,
              -0.09202784147920617
            ],
            "approximate": [
              8.84796240587888,
              13.39341695120288
            ],
            "approximateTV": [
              8.714733560962305,
              13.260188106458624
            ],
            "approximateDelta": [
              -0.13322884491657483,
              -0.13322884474425578
            ],
            "approximateResidual": 0.13322884491657483,
            "approximateError": 0.6661442240606945,
            "approximateBound": 0.6881358273426631,
            "pathDistance": 0.49423539247696446,
            "pathBound": 0.4942353924769659,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.033228844916575184
          },
          {
            "k": 21,
            "value": [
              8.319345246980733,
              12.864799792477053
            ],
            "q": [
              [
                7.655476197584587,
                8.291839833981642
              ],
              [
                12.83729437942282,
                8.655476197584587
              ]
            ],
            "tv": [
              8.291839833981642,
              12.83729437942282
            ],
            "delta": [
              -0.027505412999090595,
              -0.027505413054232264
            ],
            "residual": 0.027505413054232264,
            "minDelta": -0.027505413054232264,
            "maxDelta": -0.027505412999090595,
            "spanDelta": 5.5141669008662575e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.2056667603465038e-10,
            "error": 0.13752706520432056,
            "geometricBound": 0.15512034789255774,
            "residualBound": 0.13752706527116135,
            "lower": [
              8.181818181709572,
              12.727272727205891
            ],
            "upper": [
              8.18181818198528,
              12.7272727274816
            ],
            "policyLower": [
              8.181818181764713,
              12.727272727205891
            ],
            "optimalUpper": [
              8.18181818198528,
              12.727272727426458
            ],
            "certifiedStop": false,
            "shifted": [
              8.549929547902103,
              13.095384093398422
            ],
            "shiftDifference": [
              0.23058430092136994,
              0.23058430092136994
            ],
            "shiftExpected": 0.23058430092136967,
            "shiftDefect": [
              2.7755575615628914e-16,
              2.7755575615628914e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.07362227318336423,
              -0.07362227323850767
            ],
            "approximate": [
              8.814733560962305,
              13.360188106458624
            ],
            "approximateTV": [
              8.6881504851669,
              13.233605030608077
            ],
            "approximateDelta": [
              -0.12658307579540384,
              -0.1265830758505473
            ],
            "approximateResidual": 0.1265830758505473,
            "approximateError": 0.6329153791858921,
            "approximateBound": 0.6505086618741305,
            "pathDistance": 0.49538831398157157,
            "pathBound": 0.49538831398157274,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.026583075850547644
          },
          {
            "k": 22,
            "value": [
              8.291839833981642,
              12.83729437942282
            ],
            "q": [
              [
                7.633471867185314,
                8.269835503538257
              ],
              [
                12.81529004899708,
                8.633471867185314
              ]
            ],
            "tv": [
              8.269835503538257,
              12.81529004899708
            ],
            "delta": [
              -0.022004330443385456,
              -0.022004330425740903
            ],
            "residual": 0.022004330443385456,
            "minDelta": -0.022004330443385456,
            "maxDelta": -0.022004330425740903,
            "spanDelta": 1.7644552485762688e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.057820994305078e-11,
            "error": 0.11002165216345716,
            "geometricBound": 0.12409627831404618,
            "residualBound": 0.11002165221692731,
            "lower": [
              8.181818181764715,
              12.727272727205893
            ],
            "upper": [
              8.181818181852938,
              12.727272727294116
            ],
            "policyLower": [
              8.181818181764715,
              12.727272727223538
            ],
            "optimalUpper": [
              8.181818181835293,
              12.727272727294116
            ],
            "certifiedStop": false,
            "shifted": [
              8.476307274718739,
              13.021761820159915
            ],
            "shiftDifference": [
              0.1844674407370963,
              0.18446744073709453
            ],
            "shiftExpected": 0.18446744073709576,
            "shiftDefect": [
              5.551115123125783e-16,
              -1.2212453270876722e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.058897818590805784,
              -0.058897818573159455
            ],
            "approximate": [
              8.7881504851669,
              13.333605030608076
            ],
            "approximateTV": [
              8.666884024486462,
              13.212338569945286
            ],
            "approximateDelta": [
              -0.12126646068043812,
              -0.12126646066279001
            ],
            "approximateResidual": 0.12126646068043812,
            "approximateError": 0.6063323033487151,
            "approximateBound": 0.6204069294993044,
            "pathDistance": 0.49631065118525797,
            "pathBound": 0.4963106511852582,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.02126646068043847
          },
          {
            "k": 23,
            "value": [
              8.269835503538257,
              12.81529004899708
            ],
            "q": [
              [
                7.615868402830606,
                8.252232039197665
              ],
              [
                12.79768658465084,
                8.615868402830607
              ]
            ],
            "tv": [
              8.252232039197665,
              12.79768658465084
            ],
            "delta": [
              -0.017603464340592012,
              -0.01760346434623905
            ],
            "residual": 0.01760346434623905,
            "minDelta": -0.01760346434623905,
            "maxDelta": -0.017603464340592012,
            "spanDelta": 5.647038392453396e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.258815356981359e-11,
            "error": 0.0880173217243474,
            "geometricBound": 0.09927702265123696,
            "residualBound": 0.08801732173119527,
            "lower": [
              8.181818181807062,
              12.727272727265884
            ],
            "upper": [
              8.181818181835297,
              12.72727272729412
            ],
            "policyLower": [
              8.181818181812709,
              12.727272727265884
            ],
            "optimalUpper": [
              8.181818181835297,
              12.727272727288472
            ],
            "certifiedStop": false,
            "shifted": [
              8.417409456127933,
              12.962864001586755
            ],
            "shiftDifference": [
              0.14757395258967598,
              0.14757395258967598
            ],
            "shiftExpected": 0.1475739525896766,
            "shiftDefect": [
              -6.106226635438361e-16,
              -6.106226635438361e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.047118254858528275,
              -0.04711825486417354
            ],
            "approximate": [
              8.766884024486462,
              13.312338569945286
            ],
            "approximateTV": [
              8.64987085595623,
              13.195325401409404
            ],
            "approximateDelta": [
              -0.11701316853023158,
              -0.11701316853588217
            ],
            "approximateResidual": 0.11701316853588217,
            "approximateError": 0.5850658426725541,
            "approximateBound": 0.5963255435994436,
            "pathDistance": 0.49704852094820673,
            "pathBound": 0.49704852094820656,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.017013168535882528
          },
          {
            "k": 24,
            "value": [
              8.252232039197665,
              12.79768658465084
            ],
            "q": [
              [
                7.6017856313581325,
                8.238149267720672
              ],
              [
                12.783603813175658,
                8.601785631358133
              ]
            ],
            "tv": [
              8.238149267720672,
              12.783603813175658
            ],
            "delta": [
              -0.014082771476992662,
              -0.014082771475182554
            ],
            "residual": 0.014082771476992662,
            "minDelta": -0.014082771476992662,
            "maxDelta": -0.014082771475182554,
            "spanDelta": 1.8101076193488552e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.2404304773954225e-12,
            "error": 0.0704138573794797,
            "geometricBound": 0.07942161812098958,
            "residualBound": 0.07041385738496332,
            "lower": [
              8.181818181812702,
              12.727272727265877
            ],
            "upper": [
              8.181818181821752,
              12.727272727274928
            ],
            "policyLower": [
              8.181818181812702,
              12.727272727267687
            ],
            "optimalUpper": [
              8.181818181819942,
              12.727272727274928
            ],
            "certifiedStop": false,
            "shifted": [
              8.370291201269405,
              12.915745746722582
            ],
            "shiftDifference": [
              0.11805916207173972,
              0.1180591620717415
            ],
            "shiftExpected": 0.11805916207174129,
            "shiftDefect": [
              -1.5681900222830336e-15,
              2.0816681711721685e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.03769460389133883,
              -0.037694603889532274
            ],
            "approximate": [
              8.74987085595623,
              13.295325401409404
            ],
            "approximateTV": [
              8.636260321127523,
              13.181714866582508
            ],
            "approximateDelta": [
              -0.11361053482870709,
              -0.1136105348268952
            ],
            "approximateResidual": 0.11361053482870709,
            "approximateError": 0.5680526741380447,
            "approximateBound": 0.5770604348795549,
            "pathDistance": 0.49763881675856503,
            "pathBound": 0.4976388167585653,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.013610534828707443
          },
          {
            "k": 25,
            "value": [
              8.238149267720672,
              12.783603813175658
            ],
            "q": [
              [
                7.590519414176538,
                8.226883050540527
              ],
              [
                12.772337595994932,
                8.590519414176537
              ]
            ],
            "tv": [
              8.226883050540527,
              12.772337595994932
            ],
            "delta": [
              -0.011266217180144977,
              -0.011266217180725846
            ],
            "residual": 0.011266217180725846,
            "minDelta": -0.011266217180725846,
            "maxDelta": -0.011266217180144977,
            "spanDelta": 5.808686864838819e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.3234747459355284e-12,
            "error": 0.05633108590292579,
            "geometricBound": 0.06353729449679166,
            "residualBound": 0.056331085903629244,
            "lower": [
              8.181818181817043,
              12.727272727272029
            ],
            "upper": [
              8.181818181819947,
              12.727272727274933
            ],
            "policyLower": [
              8.181818181817624,
              12.727272727272029
            ],
            "optimalUpper": [
              8.181818181819947,
              12.727272727274352
            ],
            "certifiedStop": false,
            "shifted": [
              8.332596597378066,
              12.87805114283305
            ],
            "shiftDifference": [
              0.09444732965739355,
              0.09444732965739178
            ],
            "shiftExpected": 0.09444732965739304,
            "shiftDefect": [
              5.134781488891349e-16,
              -1.2628786905111156e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.030155683111624754,
              -0.030155683112205622
            ],
            "approximate": [
              8.736260321127522,
              13.281714866582508
            ],
            "approximateTV": [
              8.625371893266006,
              13.170826438720411
            ],
            "approximateDelta": [
              -0.11088842786151609,
              -0.11088842786209696
            ],
            "approximateResidual": 0.11088842786209696,
            "approximateError": 0.554442139309776,
            "approximateBound": 0.5616483479036439,
            "pathDistance": 0.49811105340685025,
            "pathBound": 0.49811105340685224,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.010888427862097316
          },
          {
            "k": 26,
            "value": [
              8.226883050540527,
              12.772337595994932
            ],
            "q": [
              [
                7.581506440432422,
                8.217870076795947
              ],
              [
                12.763324622250536,
                8.581506440432422
              ]
            ],
            "tv": [
              8.217870076795947,
              12.763324622250536
            ],
            "delta": [
              -0.009012973744580322,
              -0.00901297374439558
            ],
            "residual": 0.009012973744580322,
            "minDelta": -0.009012973744580322,
            "maxDelta": -0.00901297374439558,
            "spanDelta": 1.8474111129762605e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 7.389644451905044e-13,
            "error": 0.045064868722342055,
            "geometricBound": 0.05082983559743333,
            "residualBound": 0.045064868722901615,
            "lower": [
              8.181818181817626,
              12.72727272727203
            ],
            "upper": [
              8.18181818181855,
              12.727272727272954
            ],
            "policyLower": [
              8.181818181817626,
              12.727272727272215
            ],
            "optimalUpper": [
              8.181818181818365,
              12.727272727272954
            ],
            "certifiedStop": true,
            "shifted": [
              8.302440914266441,
              12.847895459720844
            ],
            "shiftDifference": [
              0.07555786372591378,
              0.075557863725912
            ],
            "shiftExpected": 0.07555786372591443,
            "shiftDefect": [
              -6.522560269672795e-16,
              -2.42861286636753e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.02412454648976592,
              -0.024124546489577625
            ],
            "approximate": [
              8.725371893266006,
              13.27082643872041
            ],
            "approximateTV": [
              8.616661150976329,
              13.16211569643092
            ],
            "approximateDelta": [
              -0.10871074228967714,
              -0.10871074228949063
            ],
            "approximateResidual": 0.10871074228967714,
            "approximateError": 0.5435537114478208,
            "approximateBound": 0.5493186783229151,
            "pathDistance": 0.4984888427254788,
            "pathBound": 0.49848884272548183,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.008710742289677498
          },
          {
            "k": 27,
            "value": [
              8.217870076795947,
              12.763324622250536
            ],
            "q": [
              [
                7.574296061436758,
                8.21065969780043
              ],
              [
                12.756114243254961,
                8.574296061436758
              ]
            ],
            "tv": [
              8.21065969780043,
              12.756114243254961
            ],
            "delta": [
              -0.007210378995516464,
              -0.007210378995575084
            ],
            "residual": 0.007210378995575084,
            "minDelta": -0.007210378995575084,
            "maxDelta": -0.007210378995516464,
            "spanDelta": 5.861977570020827e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 2.344791028008331e-13,
            "error": 0.036051894977804366,
            "geometricBound": 0.04066386847794667,
            "residualBound": 0.03605189497787543,
            "lower": [
              8.181818181818072,
              12.727272727272661
            ],
            "upper": [
              8.181818181818365,
              12.727272727272954
            ],
            "policyLower": [
              8.18181818181813,
              12.727272727272661
            ],
            "optimalUpper": [
              8.181818181818365,
              12.727272727272895
            ],
            "certifiedStop": true,
            "shifted": [
              8.278316367776675,
              12.823770913231266
            ],
            "shiftDifference": [
              0.06044629098072818,
              0.060446290980729955
            ],
            "shiftExpected": 0.06044629098073155,
            "shiftDefect": [
              -3.372302437298913e-15,
              -1.5959455978986625e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.01929963719166139,
              -0.019299637191721786
            ],
            "approximate": [
              8.716661150976329,
              13.26211569643092
            ],
            "approximateTV": [
              8.609692557144736,
              13.155147102599267
            ],
            "approximateDelta": [
              -0.10696859383159207,
              -0.10696859383165247
            ],
            "approximateResidual": 0.10696859383165247,
            "approximateError": 0.5348429691581877,
            "approximateBound": 0.5394549426583322,
            "pathDistance": 0.4987910741803834,
            "pathBound": 0.49879107418038554,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.006968593831652825
          },
          {
            "k": 28,
            "value": [
              8.21065969780043,
              12.756114243254961
            ],
            "q": [
              [
                7.568527758240345,
                8.204891394603969
              ],
              [
                12.750345940058521,
                8.568527758240345
              ]
            ],
            "tv": [
              8.204891394603969,
              12.750345940058521
            ],
            "delta": [
              -0.005768303196461488,
              -0.005768303196440172
            ],
            "residual": 0.005768303196461488,
            "minDelta": -0.005768303196461488,
            "maxDelta": -0.005768303196440172,
            "spanDelta": 2.1316282072803006e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 8.526512829121206e-14,
            "error": 0.02884151598224527,
            "geometricBound": 0.032531094782357335,
            "residualBound": 0.02884151598230745,
            "lower": [
              8.181818181818123,
              12.727272727272654
            ],
            "upper": [
              8.18181818181823,
              12.72727272727276
            ],
            "policyLower": [
              8.181818181818123,
              12.727272727272675
            ],
            "optimalUpper": [
              8.181818181818208,
              12.72727272727276
            ],
            "certifiedStop": true,
            "shifted": [
              8.259016730585014,
              12.804471276039544
            ],
            "shiftDifference": [
              0.048357032784583254,
              0.048357032784583254
            ],
            "shiftExpected": 0.04835703278458524,
            "shiftDefect": [
              -1.9845236565174673e-15,
              -1.9845236565174673e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.015439709753376718,
              -0.015439709753358954
            ],
            "approximate": [
              8.709692557144736,
              13.255147102599267
            ],
            "approximateTV": [
              8.604117682079414,
              13.149572227533964
            ],
            "approximateDelta": [
              -0.10557487506532226,
              -0.10557487506530272
            ],
            "approximateResidual": 0.10557487506532226,
            "approximateError": 0.5278743753265509,
            "approximateBound": 0.5315639541266658,
            "pathDistance": 0.49903285934430563,
            "pathBound": 0.4990328593443084,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.005574875065322615
          },
          {
            "k": 29,
            "value": [
              8.204891394603969,
              12.750345940058521
            ],
            "q": [
              [
                7.563913115683175,
                8.200276752046818
              ],
              [
                12.74573129750136,
                8.563913115683174
              ]
            ],
            "tv": [
              8.200276752046818,
              12.74573129750136
            ],
            "delta": [
              -0.004614642557150717,
              -0.004614642557161375
            ],
            "residual": 0.004614642557161375,
            "minDelta": -0.004614642557161375,
            "maxDelta": -0.004614642557150717,
            "spanDelta": 1.0658141036401503e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 4.263256414560603e-14,
            "error": 0.02307321278578911,
            "geometricBound": 0.02602487582588587,
            "residualBound": 0.023073212785806877,
            "lower": [
              8.181818181818162,
              12.727272727272714
            ],
            "upper": [
              8.181818181818215,
              12.727272727272767
            ],
            "policyLower": [
              8.181818181818173,
              12.727272727272714
            ],
            "optimalUpper": [
              8.181818181818215,
              12.727272727272757
            ],
            "certifiedStop": true,
            "shifted": [
              8.243577020831637,
              12.789031566286186
            ],
            "shiftDifference": [
              0.038685626227668024,
              0.03868562622766447
            ],
            "shiftExpected": 0.0386856262276682,
            "shiftDefect": [
              -1.734723475976807e-16,
              -3.726186026398182e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.012351767802687874,
              -0.012351767802693203
            ],
            "approximate": [
              8.704117682079413,
              13.249572227533964
            ],
            "approximateTV": [
              8.599657782027172,
              13.145112327481716
            ],
            "approximateDelta": [
              -0.10445990005224104,
              -0.10445990005224814
            ],
            "approximateResidual": 0.10445990005224814,
            "approximateError": 0.5222995002612318,
            "approximateBound": 0.5252511633013326,
            "pathDistance": 0.4992262874754445,
            "pathBound": 0.49922628747544673,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0044599000522485
          },
          {
            "k": 30,
            "value": [
              8.200276752046818,
              12.74573129750136
            ],
            "q": [
              [
                7.560221401637455,
                8.19658503800109
              ],
              [
                12.742039583455634,
                8.560221401637456
              ]
            ],
            "tv": [
              8.19658503800109,
              12.742039583455634
            ],
            "delta": [
              -0.0036917140457290998,
              -0.003691714045725547
            ],
            "residual": 0.0036917140457290998,
            "minDelta": -0.0036917140457290998,
            "maxDelta": -0.003691714045725547,
            "spanDelta": 3.552713678800501e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 1.4210854715202007e-14,
            "error": 0.018458570228633064,
            "geometricBound": 0.020819900660708695,
            "residualBound": 0.018458570228645502,
            "lower": [
              8.181818181818173,
              12.727272727272714
            ],
            "upper": [
              8.18181818181819,
              12.727272727272732
            ],
            "policyLower": [
              8.181818181818173,
              12.727272727272718
            ],
            "optimalUpper": [
              8.181818181818187,
              12.727272727272732
            ],
            "certifiedStop": true,
            "shifted": [
              8.23122525302895,
              12.776679798483492
            ],
            "shiftDifference": [
              0.030948500982130867,
              0.030948500982132643
            ],
            "shiftExpected": 0.030948500982134558,
            "shiftDefect": [
              -3.6914915568786455e-15,
              -1.915134717478395e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.009881414242155273,
              -0.00988141424215172
            ],
            "approximate": [
              8.699657782027172,
              13.245112327481715
            ],
            "approximateTV": [
              8.596089861985373,
              13.141544407439918
            ],
            "approximateDelta": [
              -0.10356792004179916,
              -0.10356792004179738
            ],
            "approximateResidual": 0.10356792004179916,
            "approximateError": 0.5178396002089869,
            "approximateBound": 0.5202009306410662,
            "pathDistance": 0.4993810299803556,
            "pathBound": 0.4993810299803575,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0035679200417995105
          },
          {
            "k": 31,
            "value": [
              8.19658503800109,
              12.742039583455634
            ],
            "q": [
              [
                7.557268030400872,
                8.193631666764508
              ],
              [
                12.739086212219053,
                8.557268030400872
              ]
            ],
            "tv": [
              8.193631666764508,
              12.739086212219053
            ],
            "delta": [
              -0.002953371236580793,
              -0.002953371236580793
            ],
            "residual": 0.002953371236580793,
            "minDelta": -0.002953371236580793,
            "maxDelta": -0.002953371236580793,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.014766856182903965,
            "geometricBound": 0.016655920528566955,
            "residualBound": 0.014766856182903968,
            "lower": [
              8.181818181818185,
              12.72727272727273
            ],
            "upper": [
              8.181818181818185,
              12.72727272727273
            ],
            "policyLower": [
              8.181818181818185,
              12.72727272727273
            ],
            "optimalUpper": [
              8.181818181818185,
              12.72727272727273
            ],
            "certifiedStop": true,
            "shifted": [
              8.221343838786794,
              12.76679838424134
            ],
            "shiftDifference": [
              0.024758800785704693,
              0.02475880078570647
            ],
            "shiftExpected": 0.024758800785707646,
            "shiftDefect": [
              -2.9524993561125257e-15,
              -1.1761425167122752e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.007905131393719955,
              -0.007905131393723508
            ],
            "approximate": [
              8.696089861985373,
              13.241544407439918
            ],
            "approximateTV": [
              8.593235525951934,
              13.13869007140648
            ],
            "approximateDelta": [
              -0.10285433603343819,
              -0.10285433603343819
            ],
            "approximateResidual": 0.10285433603343819,
            "approximateError": 0.5142716801671874,
            "approximateBound": 0.516160744512853,
            "pathDistance": 0.4995048239842834,
            "pathBound": 0.49950482398428603,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0028543360334385426
          },
          {
            "k": 32,
            "value": [
              8.193631666764508,
              12.739086212219053
            ],
            "q": [
              [
                7.554905333411607,
                8.191268969775244
              ],
              [
                12.736723515229789,
                8.554905333411607
              ]
            ],
            "tv": [
              8.191268969775244,
              12.736723515229789
            ],
            "delta": [
              -0.002362696989264279,
              -0.002362696989264279
            ],
            "residual": 0.002362696989264279,
            "minDelta": -0.002362696989264279,
            "maxDelta": -0.002362696989264279,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.011813484946323172,
            "geometricBound": 0.013324736422853568,
            "residualBound": 0.011813484946321399,
            "lower": [
              8.181818181818187,
              12.727272727272732
            ],
            "upper": [
              8.181818181818187,
              12.727272727272732
            ],
            "policyLower": [
              8.181818181818187,
              12.727272727272732
            ],
            "optimalUpper": [
              8.181818181818187,
              12.727272727272732
            ],
            "certifiedStop": true,
            "shifted": [
              8.213438707393074,
              12.758893252847617
            ],
            "shiftDifference": [
              0.01980704062856553,
              0.019807040628563755
            ],
            "shiftExpected": 0.01980704062856612,
            "shiftDefect": [
              -5.898059818321144e-16,
              -2.366162821232365e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.006324105114979162,
              -0.006324105114975609
            ],
            "approximate": [
              8.693235525951934,
              13.238690071406479
            ],
            "approximateTV": [
              8.590952057125184,
              13.13640660257973
            ],
            "approximateDelta": [
              -0.10228346882674977,
              -0.10228346882674977
            ],
            "approximateResidual": 0.10228346882674977,
            "approximateError": 0.5114173441337488,
            "approximateBound": 0.5129285956102824,
            "pathDistance": 0.49960385918742567,
            "pathBound": 0.4996038591874288,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0022834688267501235
          },
          {
            "k": 33,
            "value": [
              8.191268969775244,
              12.736723515229789
            ],
            "q": [
              [
                7.553015175820196,
                8.189378812183833
              ],
              [
                12.734833357638378,
                8.553015175820196
              ]
            ],
            "tv": [
              8.189378812183833,
              12.734833357638378
            ],
            "delta": [
              -0.0018901575914114233,
              -0.0018901575914114233
            ],
            "residual": 0.0018901575914114233,
            "minDelta": -0.0018901575914114233,
            "maxDelta": -0.0018901575914114233,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.009450787957058893,
            "geometricBound": 0.010659789138282853,
            "residualBound": 0.009450787957057118,
            "lower": [
              8.181818181818187,
              12.727272727272732
            ],
            "upper": [
              8.181818181818187,
              12.727272727272732
            ],
            "policyLower": [
              8.181818181818187,
              12.727272727272732
            ],
            "optimalUpper": [
              8.181818181818187,
              12.727272727272732
            ],
            "certifiedStop": true,
            "shifted": [
              8.207114602278095,
              12.752569147732641
            ],
            "shiftDifference": [
              0.01584563250285065,
              0.015845632502852425
            ],
            "shiftExpected": 0.015845632502852897,
            "shiftDefect": [
              -2.248201624865942e-15,
              -4.718447854656915e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.005059284091981198,
              -0.005059284091982974
            ],
            "approximate": [
              8.690952057125184,
              13.236406602579729
            ],
            "approximateTV": [
              8.589125282063783,
              13.134579827518328
            ],
            "approximateDelta": [
              -0.10182677506140081,
              -0.10182677506140081
            ],
            "approximateResidual": 0.10182677506140081,
            "approximateError": 0.5091338753069987,
            "approximateBound": 0.5103428764882258,
            "pathDistance": 0.4996830873499398,
            "pathBound": 0.49968308734994304,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0018267750614011646
          },
          {
            "k": 34,
            "value": [
              8.189378812183833,
              12.734833357638378
            ],
            "q": [
              [
                7.551503049747066,
                8.187866686110702
              ],
              [
                12.733321231565247,
                8.551503049747065
              ]
            ],
            "tv": [
              8.187866686110702,
              12.733321231565247
            ],
            "delta": [
              -0.0015121260731305597,
              -0.0015121260731305597
            ],
            "residual": 0.0015121260731305597,
            "minDelta": -0.0015121260731305597,
            "maxDelta": -0.0015121260731305597,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.007560630365647469,
            "geometricBound": 0.008527831310626283,
            "residualBound": 0.0075606303656528,
            "lower": [
              8.18181818181818,
              12.727272727272725
            ],
            "upper": [
              8.18181818181818,
              12.727272727272725
            ],
            "policyLower": [
              8.18181818181818,
              12.727272727272725
            ],
            "optimalUpper": [
              8.18181818181818,
              12.727272727272725
            ],
            "certifiedStop": true,
            "shifted": [
              8.202055318186114,
              12.747509863640659
            ],
            "shiftDifference": [
              0.012676506002280874,
              0.012676506002280874
            ],
            "shiftExpected": 0.012676506002282317,
            "shiftDefect": [
              -1.4432899320127035e-15,
              -1.4432899320127035e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.004047427273585313,
              -0.004047427273585313
            ],
            "approximate": [
              8.689125282063783,
              13.234579827518328
            ],
            "approximateTV": [
              8.587663862014663,
              13.133118407469208
            ],
            "approximateDelta": [
              -0.10146142004911951,
              -0.10146142004911951
            ],
            "approximateResidual": 0.10146142004911951,
            "approximateError": 0.5073071002455976,
            "approximateBound": 0.5082743011905807,
            "pathDistance": 0.4997464698799501,
            "pathBound": 0.49974646987995447,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.001461420049119866
          },
          {
            "k": 35,
            "value": [
              8.187866686110702,
              12.733321231565247
            ],
            "q": [
              [
                7.550293348888562,
                8.186656985252199
              ],
              [
                12.732111530706744,
                8.550293348888562
              ]
            ],
            "tv": [
              8.186656985252199,
              12.732111530706744
            ],
            "delta": [
              -0.0012097008585030267,
              -0.0012097008585030267
            ],
            "residual": 0.0012097008585030267,
            "minDelta": -0.0012097008585030267,
            "maxDelta": -0.0012097008585030267,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.00604850429251691,
            "geometricBound": 0.006822265048501027,
            "residualBound": 0.006048504292515135,
            "lower": [
              8.181818181818187,
              12.727272727272732
            ],
            "upper": [
              8.181818181818187,
              12.727272727272732
            ],
            "policyLower": [
              8.181818181818187,
              12.727272727272732
            ],
            "optimalUpper": [
              8.181818181818187,
              12.727272727272732
            ],
            "certifiedStop": true,
            "shifted": [
              8.198007890912528,
              12.743462436367073
            ],
            "shiftDifference": [
              0.01014120480182612,
              0.01014120480182612
            ],
            "shiftExpected": 0.010141204801825855,
            "shiftDefect": [
              2.654126918244515e-16,
              2.654126918244515e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.003237941818868606,
              -0.003237941818868606
            ],
            "approximate": [
              8.687663862014663,
              13.233118407469208
            ],
            "approximateTV": [
              8.586494725975367,
              13.131949271429912
            ],
            "approximateDelta": [
              -0.10116913603929589,
              -0.10116913603929589
            ],
            "approximateResidual": 0.10116913603929589,
            "approximateError": 0.5058456801964777,
            "approximateBound": 0.5066194409524647,
            "pathDistance": 0.4997971759039608,
            "pathBound": 0.49979717590396366,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.001169136039296248
          },
          {
            "k": 36,
            "value": [
              8.186656985252199,
              12.732111530706744
            ],
            "q": [
              [
                7.54932558820176,
                8.185689224565396
              ],
              [
                12.73114377001994,
                8.54932558820176
              ]
            ],
            "tv": [
              8.185689224565396,
              12.73114377001994
            ],
            "delta": [
              -0.0009677606868034871,
              -0.0009677606868034871
            ],
            "residual": 0.0009677606868034871,
            "minDelta": -0.0009677606868034871,
            "maxDelta": -0.0009677606868034871,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.004838803434013883,
            "geometricBound": 0.005457812038800822,
            "residualBound": 0.004838803434017437,
            "lower": [
              8.181818181818182,
              12.727272727272727
            ],
            "upper": [
              8.181818181818182,
              12.727272727272727
            ],
            "policyLower": [
              8.181818181818182,
              12.727272727272727
            ],
            "optimalUpper": [
              8.181818181818182,
              12.727272727272727
            ],
            "certifiedStop": true,
            "shifted": [
              8.19476994909366,
              12.740224494548205
            ],
            "shiftDifference": [
              0.008112963841460541,
              0.008112963841460541
            ],
            "shiftExpected": 0.008112963841460683,
            "shiftDefect": [
              -1.4224732503009818e-16,
              -1.4224732503009818e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0025903534550959506,
              -0.0025903534550959506
            ],
            "approximate": [
              8.686494725975367,
              13.231949271429912
            ],
            "approximateTV": [
              8.58555941714393,
              13.131013962598475
            ],
            "approximateDelta": [
              -0.10093530883143664,
              -0.10093530883143664
            ],
            "approximateResidual": 0.10093530883143664,
            "approximateError": 0.5046765441571814,
            "approximateBound": 0.5052955527619717,
            "pathDistance": 0.49983774072316756,
            "pathBound": 0.4998377407231709,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0009353088314369984
          },
          {
            "k": 37,
            "value": [
              8.185689224565396,
              12.73114377001994
            ],
            "q": [
              [
                7.5485513796523165,
                8.184915016015953
              ],
              [
                12.730369561470498,
                8.548551379652316
              ]
            ],
            "tv": [
              8.184915016015953,
              12.730369561470498
            ],
            "delta": [
              -0.0007742085494424344,
              -0.0007742085494424344
            ],
            "residual": 0.0007742085494424344,
            "minDelta": -0.0007742085494424344,
            "maxDelta": -0.0007742085494424344,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.003871042747210396,
            "geometricBound": 0.004366249631040659,
            "residualBound": 0.003871042747212173,
            "lower": [
              8.181818181818183,
              12.727272727272728
            ],
            "upper": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLower": [
              8.181818181818183,
              12.727272727272728
            ],
            "optimalUpper": [
              8.181818181818183,
              12.727272727272728
            ],
            "certifiedStop": true,
            "shifted": [
              8.192179595638564,
              12.737634141093109
            ],
            "shiftDifference": [
              0.0064903710731680775,
              0.0064903710731680775
            ],
            "shiftExpected": 0.0064903710731685485,
            "shiftDefect": [
              -4.709774237277031e-16,
              -4.709774237277031e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0020722827640753394,
              -0.0020722827640753394
            ],
            "approximate": [
              8.68555941714393,
              13.231013962598475
            ],
            "approximateTV": [
              8.58481117007878,
              13.130265715533325
            ],
            "approximateDelta": [
              -0.10074824706514995,
              -0.10074824706514995
            ],
            "approximateResidual": 0.10074824706514995,
            "approximateError": 0.5037412353257444,
            "approximateBound": 0.5042364422095775,
            "pathDistance": 0.49987019257853404,
            "pathBound": 0.4998701925785368,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0007482470651503093
          },
          {
            "k": 38,
            "value": [
              8.184915016015953,
              12.730369561470498
            ],
            "q": [
              [
                7.547932012812763,
                8.184295649176399
              ],
              [
                12.729750194630943,
                8.547932012812762
              ]
            ],
            "tv": [
              8.184295649176399,
              12.729750194630943
            ],
            "delta": [
              -0.0006193668395546581,
              -0.0006193668395546581
            ],
            "residual": 0.0006193668395546581,
            "minDelta": -0.0006193668395546581,
            "maxDelta": -0.0006193668395546581,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0030968341977679614,
            "geometricBound": 0.0034929997048325266,
            "residualBound": 0.0030968341977732914,
            "lower": [
              8.18181818181818,
              12.727272727272725
            ],
            "upper": [
              8.18181818181818,
              12.727272727272725
            ],
            "policyLower": [
              8.18181818181818,
              12.727272727272725
            ],
            "optimalUpper": [
              8.18181818181818,
              12.727272727272725
            ],
            "certifiedStop": true,
            "shifted": [
              8.190107312874488,
              12.735561858329033
            ],
            "shiftDifference": [
              0.0051922968585351725,
              0.0051922968585351725
            ],
            "shiftExpected": 0.005192296858534839,
            "shiftDefect": [
              3.3393426912553537e-16,
              3.3393426912553537e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.001657826211260982,
              -0.001657826211260982
            ],
            "approximate": [
              8.68481117007878,
              13.230265715533324
            ],
            "approximateTV": [
              8.58421257242666,
              13.129667117881205
            ],
            "approximateDelta": [
              -0.10059859765211954,
              -0.10059859765211954
            ],
            "approximateResidual": 0.10059859765211954,
            "approximateError": 0.5029929882605941,
            "approximateBound": 0.5033891537676619,
            "pathDistance": 0.49989615406282617,
            "pathBound": 0.4998961540628294,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.0005985976521198921
          },
          {
            "k": 39,
            "value": [
              8.184295649176399,
              12.729750194630943
            ],
            "q": [
              [
                7.547436519341119,
                8.183800155704755
              ],
              [
                12.7292547011593,
                8.547436519341119
              ]
            ],
            "tv": [
              8.183800155704755,
              12.7292547011593
            ],
            "delta": [
              -0.0004954934716430159,
              -0.0004954934716430159
            ],
            "residual": 0.0004954934716430159,
            "minDelta": -0.0004954934716430159,
            "maxDelta": -0.0004954934716430159,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0024774673582133033,
            "geometricBound": 0.0027943997638660216,
            "residualBound": 0.00247746735821508,
            "lower": [
              8.181818181818183,
              12.727272727272728
            ],
            "upper": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLower": [
              8.181818181818183,
              12.727272727272728
            ],
            "optimalUpper": [
              8.181818181818183,
              12.727272727272728
            ],
            "certifiedStop": true,
            "shifted": [
              8.188449486663227,
              12.733904032117772
            ],
            "shiftDifference": [
              0.004153837486828849,
              0.004153837486828849
            ],
            "shiftExpected": 0.004153837486827871,
            "shiftDefect": [
              9.775166787129308e-16,
              9.775166787129308e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.0013262609690087857,
              -0.0013262609690087857
            ],
            "approximate": [
              8.68421257242666,
              13.229667117881204
            ],
            "approximateTV": [
              8.583733694304964,
              13.12918823975951
            ],
            "approximateDelta": [
              -0.1004788781216952,
              -0.1004788781216952
            ],
            "approximateResidual": 0.1004788781216952,
            "approximateError": 0.5023943906084742,
            "approximateBound": 0.5027113230141296,
            "pathDistance": 0.49991692325026094,
            "pathBound": 0.49991692325026355,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 0.00047887812169555843
          },
          {
            "k": 40,
            "value": [
              8.183800155704755,
              12.7292547011593
            ],
            "q": [
              [
                7.547040124563805,
                8.18340376092744
              ],
              [
                12.728858306381985,
                8.547040124563804
              ]
            ],
            "tv": [
              8.18340376092744,
              12.728858306381985
            ],
            "delta": [
              -0.0003963947773151233,
              -0.0003963947773151233
            ],
            "residual": 0.0003963947773151233,
            "minDelta": -0.0003963947773151233,
            "maxDelta": -0.0003963947773151233,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              8.181818181818183,
              12.727272727272728
            ],
            "policyLoss": 3.552713678800501e-15,
            "policyBound": 0,
            "error": 0.0019819738865702874,
            "geometricBound": 0.002235519811092817,
            "residualBound": 0.001981973886575617,
            "lower": [
              8.18181818181818,
              12.727272727272725
            ],
            "upper": [
              8.18181818181818,
              12.727272727272725
            ],
            "policyLower": [
              8.18181818181818,
              12.727272727272725
            ],
            "optimalUpper": [
              8.18181818181818,
              12.727272727272725
            ],
            "certifiedStop": true,
            "shifted": [
              8.187123225694219,
              12.732577771148764
            ],
            "shiftDifference": [
              0.003323069989463079,
              0.003323069989463079
            ],
            "shiftExpected": 0.003323069989462297,
            "shiftDefect": [
              7.819266067965458e-16,
              7.819266067965458e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              -0.001061008775206318,
              -0.001061008775206318
            ],
            "approximate": [
              8.683733694304964,
              13.229188239759509
            ],
            "approximateTV": [
              8.583350591807609,
              13.128805137262153
            ],
            "approximateDelta": [
              -0.10038310249735538,
              -0.10038310249735538
            ],
            "approximateResidual": 0.10038310249735538,
            "approximateError": 0.5019155124867787,
            "approximateBound": 0.5021690584113037,
            "pathDistance": 0.4999335386002084,
            "pathBound": 0.4999335386002109,
            "updateNoise": null,
            "actualNextChange": null
          }
        ],
        "scan": [
          {
            "gamma": 0,
            "value": [
              1,
              4
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 3,
            "horizon": 1
          },
          {
            "gamma": 0.01,
            "value": [
              1.0101010101010102,
              4.028209662012478
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9698189134808857,
            "horizon": 1.0101010101010102
          },
          {
            "gamma": 0.02,
            "value": [
              1.0204081632653061,
              4.056845410228869
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9392712550607287,
            "horizon": 1.0204081632653061
          },
          {
            "gamma": 0.03,
            "value": [
              1.0309278350515465,
              4.085917651752157
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9083503054989817,
            "horizon": 1.0309278350515465
          },
          {
            "gamma": 0.04,
            "value": [
              1.0416666666666667,
              4.115437158469946
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8770491803278686,
            "horizon": 1.0416666666666667
          },
          {
            "gamma": 0.05,
            "value": [
              1.0526315789473684,
              4.145415084102008
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8453608247422677,
            "horizon": 1.0526315789473684
          },
          {
            "gamma": 0.06,
            "value": [
              1.0638297872340425,
              4.175862982254789
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.813278008298755,
            "horizon": 1.0638297872340425
          },
          {
            "gamma": 0.07,
            "value": [
              1.0752688172043012,
              4.206792825555032
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.780793319415449,
            "horizon": 1.0752688172043012
          },
          {
            "gamma": 0.08,
            "value": [
              1.0869565217391304,
              4.238217025940811
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.7478991596638656,
            "horizon": 1.0869565217391304
          },
          {
            "gamma": 0.09,
            "value": [
              1.0989010989010988,
              4.270148456194968
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.714587737843552,
            "horizon": 1.0989010989010988
          },
          {
            "gamma": 0.1,
            "value": [
              1.1111111111111112,
              4.302600472813239
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6808510638297873,
            "horizon": 1.1111111111111112
          },
          {
            "gamma": 0.11,
            "value": [
              1.1235955056179776,
              4.335586940307485
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.646680942184154,
            "horizon": 1.1235955056179776
          },
          {
            "gamma": 0.12,
            "value": [
              1.1363636363636365,
              4.3691222570532915
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6120689655172415,
            "horizon": 1.1363636363636365
          },
          {
            "gamma": 0.13,
            "value": [
              1.1494252873563218,
              4.403221382801007
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.577006507592191,
            "horizon": 1.1494252873563218
          },
          {
            "gamma": 0.14,
            "value": [
              1.1627906976744187,
              4.437899867980095
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.541484716157205,
            "horizon": 1.1627906976744187
          },
          {
            "gamma": 0.15,
            "value": [
              1.1764705882352942,
              4.47317388493859
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.5054945054945055,
            "horizon": 1.1764705882352942
          },
          {
            "gamma": 0.16,
            "value": [
              1.1904761904761905,
              4.5090602612726505
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.4690265486725664,
            "horizon": 1.1904761904761905
          },
          {
            "gamma": 0.17,
            "value": [
              1.2048192771084338,
              4.5455765154157834
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.432071269487751,
            "horizon": 1.2048192771084338
          },
          {
            "gamma": 0.18,
            "value": [
              1.2195121951219512,
              4.58274089467352
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3946188340807177,
            "horizon": 1.2195121951219512
          },
          {
            "gamma": 0.19,
            "value": [
              1.2345679012345678,
              4.6205724159072545
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.356659142212189,
            "horizon": 1.2345679012345678
          },
          {
            "gamma": 0.2,
            "value": [
              1.25,
              4.659090909090908
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3181818181818183,
            "horizon": 1.25
          },
          {
            "gamma": 0.21,
            "value": [
              1.2658227848101264,
              4.698317063986328
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.279176201372998,
            "horizon": 1.2658227848101264
          },
          {
            "gamma": 0.22,
            "value": [
              1.282051282051282,
              4.738272480207963
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.2396313364055302,
            "horizon": 1.282051282051282
          },
          {
            "gamma": 0.23,
            "value": [
              1.2987012987012987,
              4.77897972097508
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.19953596287703,
            "horizon": 1.2987012987012987
          },
          {
            "gamma": 0.24,
            "value": [
              1.3157894736842106,
              4.820462370880473
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.158878504672897,
            "horizon": 1.3157894736842106
          },
          {
            "gamma": 0.25,
            "value": [
              1.3333333333333333,
              4.862745098039216
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.117647058823529,
            "horizon": 1.3333333333333333
          },
          {
            "gamma": 0.26,
            "value": [
              1.3513513513513513,
              4.905853721019598
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.075829383886256,
            "horizon": 1.3513513513513513
          },
          {
            "gamma": 0.27,
            "value": [
              1.36986301369863,
              4.949815281001733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.0334128878281623,
            "horizon": 1.36986301369863
          },
          {
            "gamma": 0.28,
            "value": [
              1.3888888888888888,
              4.99465811965812
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.990384615384615,
            "horizon": 1.3888888888888888
          },
          {
            "gamma": 0.29,
            "value": [
              1.4084507042253522,
              5.040411963305255
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.9467312348668282,
            "horizon": 1.4084507042253522
          },
          {
            "gamma": 0.3,
            "value": [
              1.4285714285714286,
              5.087108013937282
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.902439024390244,
            "horizon": 1.4285714285714286
          },
          {
            "gamma": 0.31,
            "value": [
              1.4492753623188408,
              5.134779047822526
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.8574938574938573,
            "horizon": 1.4492753623188408
          },
          {
            "gamma": 0.32,
            "value": [
              1.4705882352941178,
              5.18345952242283
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.811881188118812,
            "horizon": 1.4705882352941178
          },
          {
            "gamma": 0.33,
            "value": [
              1.492537313432836,
              5.233185692485204
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7655860349127186,
            "horizon": 1.492537313432836
          },
          {
            "gamma": 0.34,
            "value": [
              1.5151515151515154,
              5.283995736257043
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7185929648241205,
            "horizon": 1.5151515151515154
          },
          {
            "gamma": 0.35,
            "value": [
              1.5384615384615383,
              5.335929892891918
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.6708860759493671,
            "horizon": 1.5384615384615383
          },
          {
            "gamma": 0.36,
            "value": [
              1.5625,
              5.389030612244897
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.622448979591837,
            "horizon": 1.5625
          },
          {
            "gamma": 0.37,
            "value": [
              1.5873015873015872,
              5.443342718406986
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5732647814910024,
            "horizon": 1.5873015873015872
          },
          {
            "gamma": 0.38,
            "value": [
              1.6129032258064517,
              5.498913588500752
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5233160621761659,
            "horizon": 1.6129032258064517
          },
          {
            "gamma": 0.39,
            "value": [
              1.639344262295082,
              5.555793348456962
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4725848563968666,
            "horizon": 1.639344262295082
          },
          {
            "gamma": 0.4,
            "value": [
              1.6666666666666667,
              5.614035087719298
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4210526315789476,
            "horizon": 1.6666666666666667
          },
          {
            "gamma": 0.41,
            "value": [
              1.6949152542372878,
              5.673695095086094
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3687002652519897,
            "horizon": 1.6949152542372878
          },
          {
            "gamma": 0.42,
            "value": [
              1.7241379310344827,
              5.7348331182002585
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3155080213903743,
            "horizon": 1.7241379310344827
          },
          {
            "gamma": 0.43,
            "value": [
              1.7543859649122806,
              5.797512649548399
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.261455525606469,
            "horizon": 1.7543859649122806
          },
          {
            "gamma": 0.44,
            "value": [
              1.7857142857142856,
              5.861801242236025
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.2065217391304346,
            "horizon": 1.7857142857142856
          },
          {
            "gamma": 0.45,
            "value": [
              1.8181818181818181,
              5.927770859277708
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.1506849315068493,
            "horizon": 1.8181818181818181
          },
          {
            "gamma": 0.46,
            "value": [
              1.8518518518518516,
              5.995498260691631
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.0939226519337009,
            "horizon": 1.8518518518518516
          },
          {
            "gamma": 0.47,
            "value": [
              1.8867924528301885,
              6.065065433331582
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.036211699164345,
            "horizon": 1.8867924528301885
          },
          {
            "gamma": 0.48,
            "value": [
              1.923076923076923,
              6.136560069144339
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.97752808988764,
            "horizon": 1.923076923076923
          },
          {
            "gamma": 0.49,
            "value": [
              1.9607843137254901,
              6.210076098428041
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.9178470254957503,
            "horizon": 1.9607843137254901
          },
          {
            "gamma": 0.5,
            "value": [
              2,
              6.2857142857142865
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.8571428571428568,
            "horizon": 2
          },
          {
            "gamma": 0.51,
            "value": [
              2.0408163265306123,
              6.3635828971357995
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7953890489913547,
            "horizon": 2.0408163265306123
          },
          {
            "gamma": 0.52,
            "value": [
              2.0833333333333335,
              6.443798449612404
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7325581395348832,
            "horizon": 2.0833333333333335
          },
          {
            "gamma": 0.53,
            "value": [
              2.127659574468085,
              6.526486553940226
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6686217008797648,
            "horizon": 2.127659574468085
          },
          {
            "gamma": 0.54,
            "value": [
              2.173913043478261,
              6.611782865963469
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6035502958579877,
            "horizon": 2.173913043478261
          },
          {
            "gamma": 0.55,
            "value": [
              2.2222222222222223,
              6.69983416252073
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.5373134328358202,
            "horizon": 2.2222222222222223
          },
          {
            "gamma": 0.56,
            "value": [
              2.272727272727273,
              6.790799561883901
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.4698795180722879,
            "horizon": 2.272727272727273
          },
          {
            "gamma": 0.57,
            "value": [
              2.325581395348837,
              6.8848519120661615
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.401215805471125,
            "horizon": 2.325581395348837
          },
          {
            "gamma": 0.58,
            "value": [
              2.380952380952381,
              6.982179374817411
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.3312883435582825,
            "horizon": 2.380952380952381
          },
          {
            "gamma": 0.59,
            "value": [
              2.4390243902439024,
              7.082987238541115
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.26006191950464475,
            "horizon": 2.4390243902439024
          },
          {
            "gamma": 0.6,
            "value": [
              2.5,
              7.187499999999999
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.1875000000000009,
            "horizon": 2.5
          },
          {
            "gamma": 0.61,
            "value": [
              2.564102564102564,
              7.295963762840733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.11356466876971627,
            "horizon": 2.564102564102564
          },
          {
            "gamma": 0.62,
            "value": [
              2.6315789473684212,
              7.408649011062689
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.03821656050955369,
            "horizon": 2.6315789473684212
          },
          {
            "gamma": 0.625,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policy": [
              0,
              0
            ],
            "campTie": true,
            "campGap": -4.440892098500626e-16,
            "horizon": 2.6666666666666665
          },
          {
            "gamma": 0.63,
            "value": [
              2.754511700198601,
              7.546843968569209
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0191693290734829,
            "horizon": 2.7027027027027026
          },
          {
            "gamma": 0.64,
            "value": [
              2.937013446567587,
              7.714083510261855
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.05732484076433142,
            "horizon": 2.7777777777777777
          },
          {
            "gamma": 0.65,
            "value": [
              3.129251700680274,
              7.891156462585035
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0952380952380949,
            "horizon": 2.857142857142857
          },
          {
            "gamma": 0.66,
            "value": [
              3.3320923306031274,
              8.078927773641102
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1329113924050631,
            "horizon": 2.9411764705882355
          },
          {
            "gamma": 0.67,
            "value": [
              3.5465060701653774,
              8.278367268903548
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1703470031545744,
            "horizon": 3.0303030303030307
          },
          {
            "gamma": 0.68,
            "value": [
              3.773584905660378,
              8.490566037735851
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.20754716981132226,
            "horizon": 3.1250000000000004
          },
          {
            "gamma": 0.69,
            "value": [
              4.014561634138941,
              8.716755991505714
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2445141065830727,
            "horizon": 3.2258064516129026
          },
          {
            "gamma": 0.7,
            "value": [
              4.270833333333332,
              8.95833333333333
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2812499999999991,
            "horizon": 3.333333333333333
          },
          {
            "gamma": 0.71,
            "value": [
              4.543989687399291,
              9.216886883660973
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.31775700934579376,
            "horizon": 3.4482758620689653
          },
          {
            "gamma": 0.72,
            "value": [
              4.835847382431233,
              9.494232475598935
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.354037267080745,
            "horizon": 3.571428571428571
          },
          {
            "gamma": 0.73,
            "value": [
              5.14849214539617,
              9.792454993693381
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.39009287925696423,
            "horizon": 3.7037037037037033
          },
          {
            "gamma": 0.74,
            "value": [
              5.484330484330483,
              10.113960113960113
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.4259259259259256,
            "horizon": 3.846153846153846
          },
          {
            "gamma": 0.75,
            "value": [
              5.846153846153846,
              10.461538461538462
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.46153846153846256,
            "horizon": 4
          },
          {
            "gamma": 0.76,
            "value": [
              6.237218813905932,
              10.838445807770963
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.49693251533742266,
            "horizon": 4.166666666666667
          },
          {
            "gamma": 0.77,
            "value": [
              6.661348224970084,
              11.248504188272838
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.532110091743121,
            "horizon": 4.347826086956522
          },
          {
            "gamma": 0.78,
            "value": [
              7.123059866962307,
              11.696230598669622
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.5670731707317067,
            "horizon": 4.545454545454546
          },
          {
            "gamma": 0.79,
            "value": [
              7.6277319438413675,
              12.187002460558695
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6018237082066893,
            "horizon": 4.761904761904763
          },
          {
            "gamma": 0.8,
            "value": [
              8.181818181818185,
              12.727272727272732
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6363636363636385,
            "horizon": 5.000000000000001
          },
          {
            "gamma": 0.81,
            "value": [
              8.793130863412312,
              13.324852917792974
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6706948640483379,
            "horizon": 5.263157894736843
          },
          {
            "gamma": 0.82,
            "value": [
              9.471218206157964,
              13.989290495314588
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7048192771084327,
            "horizon": 5.5555555555555545
          },
          {
            "gamma": 0.83,
            "value": [
              10.227874933757283,
              14.732379438261788
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7387387387387392,
            "horizon": 5.882352941176469
          },
          {
            "gamma": 0.84,
            "value": [
              11.077844311377243,
              15.5688622754491
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7724550898203599,
            "horizon": 6.249999999999999
          },
          {
            "gamma": 0.85,
            "value": [
              12.039800995024873,
              16.51741293532338
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8059701492537332,
            "horizon": 6.666666666666666
          },
          {
            "gamma": 0.86,
            "value": [
              13.137755102040815,
              17.60204081632653
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8392857142857135,
            "horizon": 7.142857142857142
          },
          {
            "gamma": 0.87,
            "value": [
              14.403104314083542,
              18.854142889751195
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8724035608308576,
            "horizon": 7.692307692307692
          },
          {
            "gamma": 0.88,
            "value": [
              15.877712031558186,
              20.315581854043394
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9053254437869818,
            "horizon": 8.333333333333334
          },
          {
            "gamma": 0.89,
            "value": [
              17.618664521319392,
              22.04344328238134
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9380530973451329,
            "horizon": 9.090909090909092
          },
          {
            "gamma": 0.9,
            "value": [
              19.705882352941185,
              24.117647058823533
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.970588235294116,
            "horizon": 10.000000000000002
          },
          {
            "gamma": 0.91,
            "value": [
              22.254806125773875,
              26.653633105246016
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.002932551319649,
            "horizon": 11.111111111111114
          },
          {
            "gamma": 0.92,
            "value": [
              25.438596491228086,
              29.82456140350879
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0350877192982466,
            "horizon": 12.500000000000007
          },
          {
            "gamma": 0.93,
            "value": [
              29.52936276551439,
              33.90254060807999
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0670553935860099,
            "horizon": 14.285714285714295
          },
          {
            "gamma": 0.94,
            "value": [
              34.98062015503873,
              39.3410852713178
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0988372093023244,
            "horizon": 16.666666666666654
          },
          {
            "gamma": 0.95,
            "value": [
              42.60869565217387,
              46.95652173913039
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1304347826086882,
            "horizon": 19.999999999999982
          },
          {
            "gamma": 0.96,
            "value": [
              54.04624277456642,
              58.38150289017335
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1618497109826507,
            "horizon": 24.99999999999998
          },
          {
            "gamma": 0.97,
            "value": [
              73.102785782901,
              77.42555235350619
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1930835734870442,
            "horizon": 33.33333333333331
          },
          {
            "gamma": 0.98,
            "value": [
              111.20689655172404,
              115.51724137931022
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2241379310344485,
            "horizon": 49.99999999999996
          },
          {
            "gamma": 0.99,
            "value": [
              225.5014326647562,
              229.79942693409717
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2550143266475686,
            "horizon": 99.99999999999991
          },
          {
            "gamma": 1,
            "value": null,
            "policy": null,
            "campTie": false,
            "campGap": null,
            "horizon": null
          }
        ],
        "scope": "已知有限模型的确定性演示。数学界在实数算术下成立；此处为普通双精度读数，未做向外舍入区间认证。γ=1仅报告有限轮，不给无限时域价值或收敛证书。并列时确定性选第一动作，原始动作差保留。"
      }
    },
    {
      "key": "boundary",
      "data": {
        "version": 178,
        "parameters": {
          "gamma": 1,
          "steps": 40,
          "camp": 0,
          "mine": 0,
          "shift": 25,
          "epsilon": 0.1,
          "pattern": "bias",
          "tolerance": 0.05
        },
        "model": [
          [
            {
              "name": "采集",
              "r": 1,
              "p": [
                1,
                0
              ]
            },
            {
              "name": "远行",
              "r": -2,
              "p": [
                0,
                1
              ]
            }
          ],
          [
            {
              "name": "收获",
              "r": 4,
              "p": [
                0.4,
                0.6
              ]
            },
            {
              "name": "返回",
              "r": 2,
              "p": [
                1,
                0
              ]
            }
          ]
        ],
        "star": null,
        "initialError": null,
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "matrix": [
              [
                0,
                0
              ],
              [
                -0.4,
                0.4
              ]
            ],
            "det": 0,
            "value": null,
            "q": null,
            "residual": null,
            "gaps": null
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "matrix": [
              [
                0,
                0
              ],
              [
                -1,
                1
              ]
            ],
            "det": 0,
            "value": null,
            "q": null,
            "residual": null,
            "gaps": null
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "matrix": [
              [
                1,
                -1
              ],
              [
                -0.4,
                0.4
              ]
            ],
            "det": 0,
            "value": null,
            "q": null,
            "residual": null,
            "gaps": null
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "matrix": [
              [
                1,
                -1
              ],
              [
                -1,
                1
              ]
            ],
            "det": 0,
            "value": null,
            "q": null,
            "residual": null,
            "gaps": null
          }
        ],
        "rows": [
          {
            "k": 0,
            "value": [
              0,
              0
            ],
            "q": [
              [
                1,
                -2
              ],
              [
                4,
                2
              ]
            ],
            "tv": [
              1,
              4
            ],
            "delta": [
              1,
              4
            ],
            "residual": 4,
            "minDelta": 1,
            "maxDelta": 4,
            "spanDelta": 3,
            "policy": [
              0,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              25,
              25
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              1,
              4
            ],
            "approximate": [
              0,
              0
            ],
            "approximateTV": [
              1,
              4
            ],
            "approximateDelta": [
              1,
              4
            ],
            "approximateResidual": 4,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0,
            "pathBound": 0,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 4.1
          },
          {
            "k": 1,
            "value": [
              1,
              4
            ],
            "q": [
              [
                2,
                2
              ],
              [
                6.8,
                3
              ]
            ],
            "tv": [
              2,
              6.8
            ],
            "delta": [
              1,
              2.8
            ],
            "residual": 2.8,
            "minDelta": 1,
            "maxDelta": 2.8,
            "spanDelta": 1.7999999999999998,
            "policy": [
              0,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              26,
              29
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              1,
              2.799999999999997
            ],
            "approximate": [
              1.1,
              4.1
            ],
            "approximateTV": [
              2.1,
              6.8999999999999995
            ],
            "approximateDelta": [
              1,
              2.8
            ],
            "approximateResidual": 2.8,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.10000000000000009,
            "pathBound": 0.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.8999999999999995
          },
          {
            "k": 2,
            "value": [
              2,
              6.8
            ],
            "q": [
              [
                3,
                4.8
              ],
              [
                8.879999999999999,
                4
              ]
            ],
            "tv": [
              4.8,
              8.879999999999999
            ],
            "delta": [
              2.8,
              2.079999999999999
            ],
            "residual": 2.8,
            "minDelta": 2.079999999999999,
            "maxDelta": 2.8,
            "spanDelta": 0.7200000000000006,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              27,
              31.799999999999997
            ],
            "shiftDifference": [
              25,
              24.999999999999996
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.799999999999997,
              2.0799999999999983
            ],
            "approximate": [
              2.2,
              6.999999999999999
            ],
            "approximateTV": [
              4.999999999999999,
              9.079999999999998
            ],
            "approximateDelta": [
              2.799999999999999,
              2.079999999999999
            ],
            "approximateResidual": 2.799999999999999,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.20000000000000018,
            "pathBound": 0.2,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.8999999999999986
          },
          {
            "k": 3,
            "value": [
              4.8,
              8.879999999999999
            ],
            "q": [
              [
                5.8,
                6.879999999999999
              ],
              [
                11.248,
                6.8
              ]
            ],
            "tv": [
              6.879999999999999,
              11.248
            ],
            "delta": [
              2.079999999999999,
              2.3680000000000003
            ],
            "residual": 2.3680000000000003,
            "minDelta": 2.079999999999999,
            "maxDelta": 2.3680000000000003,
            "spanDelta": 0.28800000000000114,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              29.799999999999997,
              33.879999999999995
            ],
            "shiftDifference": [
              24.999999999999996,
              24.999999999999996
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.0799999999999983,
              2.368000000000002
            ],
            "approximate": [
              5.099999999999999,
              9.179999999999998
            ],
            "approximateTV": [
              7.179999999999998,
              11.547999999999998
            ],
            "approximateDelta": [
              2.079999999999999,
              2.3680000000000003
            ],
            "approximateResidual": 2.3680000000000003,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.29999999999999893,
            "pathBound": 0.30000000000000004,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.468
          },
          {
            "k": 4,
            "value": [
              6.879999999999999,
              11.248
            ],
            "q": [
              [
                7.879999999999999,
                9.248
              ],
              [
                13.500799999999998,
                8.879999999999999
              ]
            ],
            "tv": [
              9.248,
              13.500799999999998
            ],
            "delta": [
              2.3680000000000003,
              2.252799999999999
            ],
            "residual": 2.3680000000000003,
            "minDelta": 2.252799999999999,
            "maxDelta": 2.3680000000000003,
            "spanDelta": 0.11520000000000152,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              31.879999999999995,
              36.248
            ],
            "shiftDifference": [
              24.999999999999996,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -3.552713678800501e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.368000000000002,
              2.2528000000000006
            ],
            "approximate": [
              7.279999999999998,
              11.647999999999998
            ],
            "approximateTV": [
              9.647999999999998,
              13.900799999999997
            ],
            "approximateDelta": [
              2.3680000000000003,
              2.252799999999999
            ],
            "approximateResidual": 2.3680000000000003,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.3999999999999986,
            "pathBound": 0.4,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.468
          },
          {
            "k": 5,
            "value": [
              9.248,
              13.500799999999998
            ],
            "q": [
              [
                10.248,
                11.500799999999998
              ],
              [
                15.799679999999999,
                11.248
              ]
            ],
            "tv": [
              11.500799999999998,
              15.799679999999999
            ],
            "delta": [
              2.252799999999999,
              2.2988800000000005
            ],
            "residual": 2.2988800000000005,
            "minDelta": 2.252799999999999,
            "maxDelta": 2.2988800000000005,
            "spanDelta": 0.046080000000001675,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              34.248,
              38.5008
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2528000000000006,
              2.298879999999997
            ],
            "approximate": [
              9.747999999999998,
              14.000799999999996
            ],
            "approximateTV": [
              12.000799999999996,
              16.299679999999995
            ],
            "approximateDelta": [
              2.252799999999999,
              2.2988799999999987
            ],
            "approximateResidual": 2.2988799999999987,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.4999999999999982,
            "pathBound": 0.5,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.39888
          },
          {
            "k": 6,
            "value": [
              11.500799999999998,
              15.799679999999999
            ],
            "q": [
              [
                12.500799999999998,
                13.799679999999999
              ],
              [
                18.080128,
                13.500799999999998
              ]
            ],
            "tv": [
              13.799679999999999,
              18.080128
            ],
            "delta": [
              2.2988800000000005,
              2.280448
            ],
            "residual": 2.2988800000000005,
            "minDelta": 2.280448,
            "maxDelta": 2.2988800000000005,
            "spanDelta": 0.01843200000000067,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              36.5008,
              40.799679999999995
            ],
            "shiftDifference": [
              25,
              24.999999999999996
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.298879999999997,
              2.280448
            ],
            "approximate": [
              12.100799999999996,
              16.399679999999996
            ],
            "approximateTV": [
              14.399679999999996,
              18.680127999999996
            ],
            "approximateDelta": [
              2.2988800000000005,
              2.280448
            ],
            "approximateResidual": 2.2988800000000005,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.5999999999999979,
            "pathBound": 0.6000000000000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.39888
          },
          {
            "k": 7,
            "value": [
              13.799679999999999,
              18.080128
            ],
            "q": [
              [
                14.799679999999999,
                16.080128
              ],
              [
                20.3679488,
                15.799679999999999
              ]
            ],
            "tv": [
              16.080128,
              20.3679488
            ],
            "delta": [
              2.280448,
              2.287820800000002
            ],
            "residual": 2.287820800000002,
            "minDelta": 2.280448,
            "maxDelta": 2.287820800000002,
            "spanDelta": 0.0073728000000024,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              38.799679999999995,
              43.080127999999995
            ],
            "shiftDifference": [
              24.999999999999996,
              24.999999999999996
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.280448,
              2.2878207999999987
            ],
            "approximate": [
              14.499679999999996,
              18.780127999999998
            ],
            "approximateTV": [
              16.780127999999998,
              21.067948799999996
            ],
            "approximateDelta": [
              2.2804480000000016,
              2.2878207999999987
            ],
            "approximateResidual": 2.2878207999999987,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.6999999999999993,
            "pathBound": 0.7000000000000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3878208
          },
          {
            "k": 8,
            "value": [
              16.080128,
              20.3679488
            ],
            "q": [
              [
                17.080128,
                18.3679488
              ],
              [
                22.652820480000003,
                18.080128
              ]
            ],
            "tv": [
              18.3679488,
              22.652820480000003
            ],
            "delta": [
              2.287820800000002,
              2.284871680000002
            ],
            "residual": 2.287820800000002,
            "minDelta": 2.284871680000002,
            "maxDelta": 2.287820800000002,
            "spanDelta": 0.0029491200000002493,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              41.080127999999995,
              45.36794879999999
            ],
            "shiftDifference": [
              24.999999999999996,
              24.999999999999993
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -3.552713678800501e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2878207999999987,
              2.284871680000002
            ],
            "approximate": [
              16.880128,
              21.167948799999998
            ],
            "approximateTV": [
              19.167948799999998,
              23.45282048
            ],
            "approximateDelta": [
              2.2878207999999987,
              2.284871680000002
            ],
            "approximateResidual": 2.2878207999999987,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.8000000000000007,
            "pathBound": 0.8,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3878208
          },
          {
            "k": 9,
            "value": [
              18.3679488,
              22.652820480000003
            ],
            "q": [
              [
                19.3679488,
                20.652820480000003
              ],
              [
                24.938871808000002,
                20.3679488
              ]
            ],
            "tv": [
              20.652820480000003,
              24.938871808000002
            ],
            "delta": [
              2.284871680000002,
              2.286051327999999
            ],
            "residual": 2.286051327999999,
            "minDelta": 2.284871680000002,
            "maxDelta": 2.286051327999999,
            "spanDelta": 0.0011796479999972576,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              43.36794879999999,
              47.652820479999995
            ],
            "shiftDifference": [
              24.999999999999993,
              24.999999999999993
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -7.105427357601002e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.284871680000002,
              2.286051327999999
            ],
            "approximate": [
              19.2679488,
              23.55282048
            ],
            "approximateTV": [
              21.55282048,
              25.838871808
            ],
            "approximateDelta": [
              2.284871680000002,
              2.286051327999999
            ],
            "approximateResidual": 2.286051327999999,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 0.8999999999999986,
            "pathBound": 0.9,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3860513280000006
          },
          {
            "k": 10,
            "value": [
              20.652820480000003,
              24.938871808000002
            ],
            "q": [
              [
                21.652820480000003,
                22.938871808000002
              ],
              [
                27.224451276800004,
                22.652820480000003
              ]
            ],
            "tv": [
              22.938871808000002,
              27.224451276800004
            ],
            "delta": [
              2.286051327999999,
              2.2855794688000017
            ],
            "residual": 2.286051327999999,
            "minDelta": 2.2855794688000017,
            "maxDelta": 2.286051327999999,
            "spanDelta": 0.00047185919999748194,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              45.652820479999995,
              49.938871807999995
            ],
            "shiftDifference": [
              24.999999999999993,
              24.999999999999993
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -7.105427357601002e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.286051327999999,
              2.2855794688000017
            ],
            "approximate": [
              21.652820480000003,
              25.938871808000002
            ],
            "approximateTV": [
              23.938871808000002,
              28.224451276800004
            ],
            "approximateDelta": [
              2.286051327999999,
              2.2855794688000017
            ],
            "approximateResidual": 2.286051327999999,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1,
            "pathBound": 1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3860513280000006
          },
          {
            "k": 11,
            "value": [
              22.938871808000002,
              27.224451276800004
            ],
            "q": [
              [
                23.938871808000002,
                25.224451276800004
              ],
              [
                29.510219489280004,
                24.938871808000002
              ]
            ],
            "tv": [
              25.224451276800004,
              29.510219489280004
            ],
            "delta": [
              2.2855794688000017,
              2.2857682124800007
            ],
            "residual": 2.2857682124800007,
            "minDelta": 2.2855794688000017,
            "maxDelta": 2.2857682124800007,
            "spanDelta": 0.00018874367999899277,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              47.938871807999995,
              52.224451276799996
            ],
            "shiftDifference": [
              24.999999999999993,
              24.999999999999993
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -7.105427357601002e-15,
              -7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2855794688000017,
              2.2857682124799936
            ],
            "approximate": [
              24.038871808000003,
              28.324451276800005
            ],
            "approximateTV": [
              26.324451276800005,
              30.610219489280006
            ],
            "approximateDelta": [
              2.2855794688000017,
              2.2857682124800007
            ],
            "approximateResidual": 2.2857682124800007,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.1000000000000014,
            "pathBound": 1.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385768212480002
          },
          {
            "k": 12,
            "value": [
              25.224451276800004,
              29.510219489280004
            ],
            "q": [
              [
                26.224451276800004,
                27.510219489280004
              ],
              [
                31.795912204288,
                27.224451276800004
              ]
            ],
            "tv": [
              27.510219489280004,
              31.795912204288
            ],
            "delta": [
              2.2857682124800007,
              2.285692715007997
            ],
            "residual": 2.2857682124800007,
            "minDelta": 2.285692715007997,
            "maxDelta": 2.2857682124800007,
            "spanDelta": 7.549747200386037e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              50.224451276799996,
              54.51021948927999
            ],
            "shiftDifference": [
              24.999999999999993,
              24.999999999999986
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -7.105427357601002e-15,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857682124799936,
              2.285692715007997
            ],
            "approximate": [
              26.424451276800006,
              30.710219489280007
            ],
            "approximateTV": [
              28.710219489280007,
              32.995912204288004
            ],
            "approximateDelta": [
              2.2857682124800007,
              2.285692715007997
            ],
            "approximateResidual": 2.2857682124800007,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.2000000000000028,
            "pathBound": 1.2000000000000002,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385768212480002
          },
          {
            "k": 13,
            "value": [
              27.510219489280004,
              31.795912204288
            ],
            "q": [
              [
                28.510219489280004,
                29.795912204288
              ],
              [
                34.08163511828481,
                29.510219489280004
              ]
            ],
            "tv": [
              29.795912204288,
              34.08163511828481
            ],
            "delta": [
              2.285692715007997,
              2.285722913996807
            ],
            "residual": 2.285722913996807,
            "minDelta": 2.285692715007997,
            "maxDelta": 2.285722913996807,
            "spanDelta": 3.019898881007066e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              52.51021948927999,
              56.79591220428799
            ],
            "shiftDifference": [
              24.999999999999986,
              24.999999999999986
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285692715007997,
              2.2857229139968
            ],
            "approximate": [
              28.81021948928001,
              33.095912204288005
            ],
            "approximateTV": [
              31.095912204288005,
              35.381635118284805
            ],
            "approximateDelta": [
              2.285692715007997,
              2.2857229139968
            ],
            "approximateResidual": 2.2857229139968,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.3000000000000043,
            "pathBound": 1.3,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857229139968013
          },
          {
            "k": 14,
            "value": [
              29.795912204288,
              34.08163511828481
            ],
            "q": [
              [
                30.795912204288,
                32.08163511828481
              ],
              [
                36.36734595268609,
                31.795912204288
              ]
            ],
            "tv": [
              32.08163511828481,
              36.36734595268609
            ],
            "delta": [
              2.285722913996807,
              2.2857108344012786
            ],
            "residual": 2.285722913996807,
            "minDelta": 2.2857108344012786,
            "maxDelta": 2.285722913996807,
            "spanDelta": 1.207959552829152e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              54.79591220428799,
              59.08163511828479
            ],
            "shiftDifference": [
              24.999999999999986,
              24.99999999999998
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857229139968,
              2.2857108344012786
            ],
            "approximate": [
              31.195912204288007,
              35.48163511828481
            ],
            "approximateTV": [
              33.48163511828481,
              37.767345952686085
            ],
            "approximateDelta": [
              2.2857229139968,
              2.2857108344012786
            ],
            "approximateResidual": 2.2857229139968,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.4000000000000057,
            "pathBound": 1.4000000000000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857229139968013
          },
          {
            "k": 15,
            "value": [
              32.08163511828481,
              36.36734595268609
            ],
            "q": [
              [
                33.08163511828481,
                34.36734595268609
              ],
              [
                38.65306161892558,
                34.08163511828481
              ]
            ],
            "tv": [
              34.36734595268609,
              38.65306161892558
            ],
            "delta": [
              2.2857108344012786,
              2.28571566623949
            ],
            "residual": 2.28571566623949,
            "minDelta": 2.2857108344012786,
            "maxDelta": 2.28571566623949,
            "spanDelta": 4.831838211316608e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              57.08163511828479,
              61.367345952686065
            ],
            "shiftDifference": [
              24.99999999999998,
              24.99999999999998
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.1316282072803006e-14,
              -2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857108344012786,
              2.28571566623949
            ],
            "approximate": [
              33.58163511828481,
              37.86734595268609
            ],
            "approximateTV": [
              35.86734595268609,
              40.15306161892558
            ],
            "approximateDelta": [
              2.2857108344012786,
              2.28571566623949
            ],
            "approximateResidual": 2.28571566623949,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.5,
            "pathBound": 1.5,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857156662394914
          },
          {
            "k": 16,
            "value": [
              34.36734595268609,
              38.65306161892558
            ],
            "q": [
              [
                35.36734595268609,
                36.65306161892558
              ],
              [
                40.938775352429786,
                36.36734595268609
              ]
            ],
            "tv": [
              36.65306161892558,
              40.938775352429786
            ],
            "delta": [
              2.28571566623949,
              2.2857137335042097
            ],
            "residual": 2.28571566623949,
            "minDelta": 2.2857137335042097,
            "maxDelta": 2.28571566623949,
            "spanDelta": 1.932735280263387e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              59.367345952686065,
              63.653061618925555
            ],
            "shiftDifference": [
              24.99999999999998,
              24.99999999999998
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.1316282072803006e-14,
              -2.1316282072803006e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.28571566623949,
              2.2857137335042026
            ],
            "approximate": [
              35.96734595268609,
              40.25306161892558
            ],
            "approximateTV": [
              38.25306161892558,
              42.53877535242978
            ],
            "approximateDelta": [
              2.28571566623949,
              2.2857137335042026
            ],
            "approximateResidual": 2.28571566623949,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.6000000000000014,
            "pathBound": 1.6,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857156662394914
          },
          {
            "k": 17,
            "value": [
              36.65306161892558,
              40.938775352429786
            ],
            "q": [
              [
                37.65306161892558,
                38.938775352429786
              ],
              [
                43.224489859028104,
                38.65306161892558
              ]
            ],
            "tv": [
              38.938775352429786,
              43.224489859028104
            ],
            "delta": [
              2.2857137335042097,
              2.2857145065983175
            ],
            "residual": 2.2857145065983175,
            "minDelta": 2.2857137335042097,
            "maxDelta": 2.2857145065983175,
            "spanDelta": 7.730941078420983e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              61.653061618925555,
              65.93877535242976
            ],
            "shiftDifference": [
              24.99999999999998,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.1316282072803006e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857137335042026,
              2.2857145065983104
            ],
            "approximate": [
              38.35306161892558,
              42.63877535242978
            ],
            "approximateTV": [
              40.63877535242978,
              44.9244898590281
            ],
            "approximateDelta": [
              2.2857137335042026,
              2.2857145065983175
            ],
            "approximateResidual": 2.2857145065983175,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.7000000000000028,
            "pathBound": 1.7000000000000002,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714506598319
          },
          {
            "k": 18,
            "value": [
              38.938775352429786,
              43.224489859028104
            ],
            "q": [
              [
                39.938775352429786,
                41.224489859028104
              ],
              [
                45.51020405638877,
                40.938775352429786
              ]
            ],
            "tv": [
              41.224489859028104,
              45.51020405638877
            ],
            "delta": [
              2.2857145065983175,
              2.2857141973606687
            ],
            "residual": 2.2857145065983175,
            "minDelta": 2.2857141973606687,
            "maxDelta": 2.2857145065983175,
            "spanDelta": 3.092376488211812e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              63.93877535242976,
              68.22448985902807
            ],
            "shiftDifference": [
              24.99999999999997,
              24.999999999999964
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -3.552713678800501e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857145065983104,
              2.285714197360676
            ],
            "approximate": [
              40.73877535242978,
              45.0244898590281
            ],
            "approximateTV": [
              43.0244898590281,
              47.31020405638877
            ],
            "approximateDelta": [
              2.2857145065983175,
              2.2857141973606687
            ],
            "approximateResidual": 2.2857145065983175,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.7999999999999972,
            "pathBound": 1.8,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714506598319
          },
          {
            "k": 19,
            "value": [
              41.224489859028104,
              45.51020405638877
            ],
            "q": [
              [
                42.224489859028104,
                43.51020405638877
              ],
              [
                47.79591837744451,
                43.224489859028104
              ]
            ],
            "tv": [
              43.51020405638877,
              47.79591837744451
            ],
            "delta": [
              2.2857141973606687,
              2.2857143210557354
            ],
            "residual": 2.2857143210557354,
            "minDelta": 2.2857141973606687,
            "maxDelta": 2.2857143210557354,
            "spanDelta": 1.2369506663389984e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              66.22448985902807,
              70.51020405638874
            ],
            "shiftDifference": [
              24.999999999999964,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -3.552713678800501e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714197360676,
              2.2857143210557354
            ],
            "approximate": [
              43.1244898590281,
              47.41020405638877
            ],
            "approximateTV": [
              45.41020405638877,
              49.69591837744451
            ],
            "approximateDelta": [
              2.2857141973606687,
              2.2857143210557354
            ],
            "approximateResidual": 2.2857143210557354,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 1.8999999999999986,
            "pathBound": 1.9000000000000001,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857143210557368
          },
          {
            "k": 20,
            "value": [
              43.51020405638877,
              47.79591837744451
            ],
            "q": [
              [
                44.51020405638877,
                45.79591837744451
              ],
              [
                50.08163264902221,
                45.51020405638877
              ]
            ],
            "tv": [
              45.79591837744451,
              50.08163264902221
            ],
            "delta": [
              2.2857143210557354,
              2.285714271577703
            ],
            "residual": 2.2857143210557354,
            "minDelta": 2.285714271577703,
            "maxDelta": 2.2857143210557354,
            "spanDelta": 4.947803233790182e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              68.51020405638874,
              72.79591837744448
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857143210557354,
              2.285714271577703
            ],
            "approximate": [
              45.51020405638877,
              49.79591837744451
            ],
            "approximateTV": [
              47.79591837744451,
              52.08163264902221
            ],
            "approximateDelta": [
              2.2857143210557354,
              2.285714271577703
            ],
            "approximateResidual": 2.2857143210557354,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2,
            "pathBound": 2,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857143210557368
          },
          {
            "k": 21,
            "value": [
              45.79591837744451,
              50.08163264902221
            ],
            "q": [
              [
                46.79591837744451,
                48.08163264902221
              ],
              [
                52.36734694039113,
                47.79591837744451
              ]
            ],
            "tv": [
              48.08163264902221,
              52.36734694039113
            ],
            "delta": [
              2.285714271577703,
              2.285714291368919
            ],
            "residual": 2.285714291368919,
            "minDelta": 2.285714271577703,
            "maxDelta": 2.285714291368919,
            "spanDelta": 1.9791215777331672e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              70.79591837744448,
              75.08163264902218
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714271577703,
              2.285714291368919
            ],
            "approximate": [
              47.89591837744451,
              52.18163264902221
            ],
            "approximateTV": [
              50.18163264902221,
              54.46734694039113
            ],
            "approximateDelta": [
              2.285714271577703,
              2.285714291368919
            ],
            "approximateResidual": 2.285714291368919,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.1000000000000014,
            "pathBound": 2.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.38571429136892
          },
          {
            "k": 22,
            "value": [
              48.08163264902221,
              52.36734694039113
            ],
            "q": [
              [
                49.08163264902221,
                50.36734694039113
              ],
              [
                54.653061223843565,
                50.08163264902221
              ]
            ],
            "tv": [
              50.36734694039113,
              54.653061223843565
            ],
            "delta": [
              2.285714291368919,
              2.2857142834524353
            ],
            "residual": 2.285714291368919,
            "minDelta": 2.2857142834524353,
            "maxDelta": 2.285714291368919,
            "spanDelta": 7.916483468761726e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              73.08163264902218,
              77.3673469403911
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714291368919,
              2.2857142834524353
            ],
            "approximate": [
              50.281632649022214,
              54.56734694039113
            ],
            "approximateTV": [
              52.56734694039113,
              56.85306122384357
            ],
            "approximateDelta": [
              2.285714291368919,
              2.2857142834524353
            ],
            "approximateResidual": 2.285714291368919,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.200000000000003,
            "pathBound": 2.2,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.38571429136892
          },
          {
            "k": 23,
            "value": [
              50.36734694039113,
              54.653061223843565
            ],
            "q": [
              [
                51.36734694039113,
                52.653061223843565
              ],
              [
                56.93877551046259,
                52.36734694039113
              ]
            ],
            "tv": [
              52.653061223843565,
              56.93877551046259
            ],
            "delta": [
              2.2857142834524353,
              2.285714286619026
            ],
            "residual": 2.285714286619026,
            "minDelta": 2.2857142834524353,
            "maxDelta": 2.285714286619026,
            "spanDelta": 3.1665905453337473e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              75.3673469403911,
              79.65306122384354
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857142834524353,
              2.285714286619026
            ],
            "approximate": [
              52.667346940391134,
              56.95306122384357
            ],
            "approximateTV": [
              54.95306122384357,
              59.238775510462595
            ],
            "approximateDelta": [
              2.2857142834524353,
              2.285714286619026
            ],
            "approximateResidual": 2.285714286619026,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.3000000000000043,
            "pathBound": 2.3000000000000003,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142866190273
          },
          {
            "k": 24,
            "value": [
              52.653061223843565,
              56.93877551046259
            ],
            "q": [
              [
                53.653061223843565,
                54.93877551046259
              ],
              [
                59.224489795814975,
                54.653061223843565
              ]
            ],
            "tv": [
              54.93877551046259,
              59.224489795814975
            ],
            "delta": [
              2.285714286619026,
              2.285714285352384
            ],
            "residual": 2.285714286619026,
            "minDelta": 2.285714285352384,
            "maxDelta": 2.285714286619026,
            "spanDelta": 1.266641902475385e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              77.65306122384354,
              81.93877551046256
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714286619026,
              2.285714285352384
            ],
            "approximate": [
              55.05306122384357,
              59.3387755104626
            ],
            "approximateTV": [
              57.3387755104626,
              61.62448979581499
            ],
            "approximateDelta": [
              2.285714286619026,
              2.285714285352391
            ],
            "approximateResidual": 2.285714286619026,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.4000000000000057,
            "pathBound": 2.4000000000000004,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142866190273
          },
          {
            "k": 25,
            "value": [
              54.93877551046259,
              59.224489795814975
            ],
            "q": [
              [
                55.93877551046259,
                57.224489795814975
              ],
              [
                61.51020408167402,
                56.93877551046259
              ]
            ],
            "tv": [
              57.224489795814975,
              61.51020408167402
            ],
            "delta": [
              2.285714285352384,
              2.2857142858590436
            ],
            "residual": 2.2857142858590436,
            "minDelta": 2.285714285352384,
            "maxDelta": 2.2857142858590436,
            "spanDelta": 5.06659603161097e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              79.93877551046256,
              84.22448979581495
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285352384,
              2.285714285859058
            ],
            "approximate": [
              57.4387755104626,
              61.72448979581499
            ],
            "approximateTV": [
              59.72448979581499,
              64.01020408167403
            ],
            "approximateDelta": [
              2.285714285352391,
              2.2857142858590436
            ],
            "approximateResidual": 2.2857142858590436,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.500000000000014,
            "pathBound": 2.5,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285859038
          },
          {
            "k": 26,
            "value": [
              57.224489795814975,
              61.51020408167402
            ],
            "q": [
              [
                58.224489795814975,
                59.51020408167402
              ],
              [
                63.7959183673304,
                59.224489795814975
              ]
            ],
            "tv": [
              59.51020408167402,
              63.7959183673304
            ],
            "delta": [
              2.2857142858590436,
              2.2857142856563826
            ],
            "residual": 2.2857142858590436,
            "minDelta": 2.2857142856563826,
            "maxDelta": 2.2857142858590436,
            "spanDelta": 2.0266099909349578e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              82.22448979581495,
              86.510204081674
            ],
            "shiftDifference": [
              24.99999999999997,
              24.999999999999986
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285859058,
              2.2857142856563826
            ],
            "approximate": [
              59.82448979581499,
              64.11020408167403
            ],
            "approximateTV": [
              62.11020408167403,
              66.39591836733041
            ],
            "approximateDelta": [
              2.2857142858590365,
              2.2857142856563826
            ],
            "approximateResidual": 2.2857142858590365,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.6000000000000156,
            "pathBound": 2.6,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285859038
          },
          {
            "k": 27,
            "value": [
              59.51020408167402,
              63.7959183673304
            ],
            "q": [
              [
                60.51020408167402,
                61.7959183673304
              ],
              [
                66.08163265306786,
                61.51020408167402
              ]
            ],
            "tv": [
              61.7959183673304,
              66.08163265306786
            ],
            "delta": [
              2.2857142856563826,
              2.2857142857374555
            ],
            "residual": 2.2857142857374555,
            "minDelta": 2.2857142856563826,
            "maxDelta": 2.2857142857374555,
            "spanDelta": 8.107292615022743e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              84.510204081674,
              88.79591836733039
            ],
            "shiftDifference": [
              24.999999999999986,
              24.999999999999986
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857142856563826,
              2.2857142857374413
            ],
            "approximate": [
              62.21020408167403,
              66.4959183673304
            ],
            "approximateTV": [
              64.4959183673304,
              68.78163265306785
            ],
            "approximateDelta": [
              2.2857142856563755,
              2.2857142857374413
            ],
            "approximateResidual": 2.2857142857374413,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.70000000000001,
            "pathBound": 2.7,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142857374356
          },
          {
            "k": 28,
            "value": [
              61.7959183673304,
              66.08163265306786
            ],
            "q": [
              [
                62.7959183673304,
                64.08163265306786
              ],
              [
                68.36734693877287,
                63.7959183673304
              ]
            ],
            "tv": [
              64.08163265306786,
              68.36734693877287
            ],
            "delta": [
              2.2857142857374555,
              2.285714285705012
            ],
            "residual": 2.2857142857374555,
            "minDelta": 2.285714285705012,
            "maxDelta": 2.2857142857374555,
            "spanDelta": 3.2443381314806174e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              86.79591836733039,
              91.08163265306783
            ],
            "shiftDifference": [
              24.999999999999986,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857142857374413,
              2.285714285705012
            ],
            "approximate": [
              64.5959183673304,
              68.88163265306784
            ],
            "approximateTV": [
              66.88163265306784,
              71.16734693877285
            ],
            "approximateDelta": [
              2.2857142857374413,
              2.285714285705012
            ],
            "approximateResidual": 2.2857142857374413,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.799999999999997,
            "pathBound": 2.8000000000000003,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142857374356
          },
          {
            "k": 29,
            "value": [
              64.08163265306786,
              68.36734693877287
            ],
            "q": [
              [
                65.08163265306786,
                66.36734693877287
              ],
              [
                70.65306122449087,
                66.08163265306786
              ]
            ],
            "tv": [
              66.36734693877287,
              70.65306122449087
            ],
            "delta": [
              2.285714285705012,
              2.285714285718001
            ],
            "residual": 2.285714285718001,
            "minDelta": 2.285714285705012,
            "maxDelta": 2.285714285718001,
            "spanDelta": 1.2988721209694631e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              89.08163265306783,
              93.36734693877284
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285705012,
              2.285714285718001
            ],
            "approximate": [
              66.98163265306783,
              71.26734693877285
            ],
            "approximateTV": [
              69.26734693877285,
              73.55306122449085
            ],
            "approximateDelta": [
              2.285714285705012,
              2.285714285718001
            ],
            "approximateResidual": 2.285714285718001,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.8999999999999773,
            "pathBound": 2.9000000000000004,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285717995
          },
          {
            "k": 30,
            "value": [
              66.36734693877287,
              70.65306122449087
            ],
            "q": [
              [
                67.36734693877287,
                68.65306122449087
              ],
              [
                72.93877551020367,
                68.36734693877287
              ]
            ],
            "tv": [
              68.65306122449087,
              72.93877551020367
            ],
            "delta": [
              2.285714285718001,
              2.2857142857127997
            ],
            "residual": 2.285714285718001,
            "minDelta": 2.2857142857127997,
            "maxDelta": 2.285714285718001,
            "spanDelta": 5.201172825763933e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              91.36734693877284,
              95.65306122449084
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285718001,
              2.2857142857127997
            ],
            "approximate": [
              69.36734693877284,
              73.65306122449084
            ],
            "approximateTV": [
              71.65306122449084,
              75.93877551020364
            ],
            "approximateDelta": [
              2.285714285718001,
              2.2857142857127997
            ],
            "approximateResidual": 2.285714285718001,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 2.9999999999999716,
            "pathBound": 3,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285717995
          },
          {
            "k": 31,
            "value": [
              68.65306122449087,
              72.93877551020367
            ],
            "q": [
              [
                69.65306122449087,
                70.93877551020367
              ],
              [
                75.22448979591854,
                70.65306122449087
              ]
            ],
            "tv": [
              70.93877551020367,
              75.22448979591854
            ],
            "delta": [
              2.2857142857127997,
              2.2857142857148744
            ],
            "residual": 2.2857142857148744,
            "minDelta": 2.2857142857127997,
            "maxDelta": 2.2857142857148744,
            "spanDelta": 2.0747847884194925e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              93.65306122449084,
              97.93877551020364
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857142857127997,
              2.2857142857148744
            ],
            "approximate": [
              71.75306122449084,
              76.03877551020364
            ],
            "approximateTV": [
              74.03877551020364,
              78.32448979591851
            ],
            "approximateDelta": [
              2.2857142857127997,
              2.2857142857148744
            ],
            "approximateResidual": 2.2857142857148744,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.099999999999966,
            "pathBound": 3.1,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142857148688
          },
          {
            "k": 32,
            "value": [
              70.93877551020367,
              75.22448979591854
            ],
            "q": [
              [
                71.93877551020367,
                73.22448979591854
              ],
              [
                77.5102040816326,
                72.93877551020367
              ]
            ],
            "tv": [
              73.22448979591854,
              77.5102040816326
            ],
            "delta": [
              2.2857142857148744,
              2.28571428571405
            ],
            "residual": 2.2857142857148744,
            "minDelta": 2.28571428571405,
            "maxDelta": 2.2857142857148744,
            "spanDelta": 8.242295734817162e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              95.93877551020364,
              100.22448979591852
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857142857148744,
              2.28571428571405
            ],
            "approximate": [
              74.13877551020363,
              78.4244897959185
            ],
            "approximateTV": [
              76.4244897959185,
              80.71020408163255
            ],
            "approximateDelta": [
              2.2857142857148744,
              2.28571428571405
            ],
            "approximateResidual": 2.2857142857148744,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.19999999999996,
            "pathBound": 3.2,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142857148688
          },
          {
            "k": 33,
            "value": [
              73.22448979591854,
              77.5102040816326
            ],
            "q": [
              [
                74.22448979591854,
                75.5102040816326
              ],
              [
                79.79591836734697,
                75.22448979591854
              ]
            ],
            "tv": [
              75.5102040816326,
              79.79591836734697
            ],
            "delta": [
              2.28571428571405,
              2.285714285714377
            ],
            "residual": 2.285714285714377,
            "minDelta": 2.28571428571405,
            "maxDelta": 2.285714285714377,
            "spanDelta": 3.268496584496461e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              98.22448979591852,
              102.51020408163257
            ],
            "shiftDifference": [
              24.99999999999997,
              24.99999999999997
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.28571428571405,
              2.2857142857143913
            ],
            "approximate": [
              76.5244897959185,
              80.81020408163255
            ],
            "approximateTV": [
              78.81020408163255,
              83.09591836734693
            ],
            "approximateDelta": [
              2.28571428571405,
              2.285714285714377
            ],
            "approximateResidual": 2.285714285714377,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.2999999999999545,
            "pathBound": 3.3000000000000003,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142857143714
          },
          {
            "k": 34,
            "value": [
              75.5102040816326,
              79.79591836734697
            ],
            "q": [
              [
                76.5102040816326,
                77.79591836734697
              ],
              [
                82.08163265306122,
                77.5102040816326
              ]
            ],
            "tv": [
              77.79591836734697,
              82.08163265306122
            ],
            "delta": [
              2.285714285714377,
              2.285714285714249
            ],
            "residual": 2.285714285714377,
            "minDelta": 2.285714285714249,
            "maxDelta": 2.285714285714377,
            "spanDelta": 1.2789769243681803e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              100.51020408163257,
              104.79591836734696
            ],
            "shiftDifference": [
              24.99999999999997,
              24.999999999999986
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -2.842170943040401e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857142857143913,
              2.285714285714249
            ],
            "approximate": [
              78.91020408163254,
              83.19591836734692
            ],
            "approximateTV": [
              81.19591836734692,
              85.48163265306117
            ],
            "approximateDelta": [
              2.285714285714377,
              2.285714285714249
            ],
            "approximateResidual": 2.285714285714377,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.399999999999949,
            "pathBound": 3.4000000000000004,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.3857142857143714
          },
          {
            "k": 35,
            "value": [
              77.79591836734697,
              82.08163265306122
            ],
            "q": [
              [
                78.79591836734697,
                80.08163265306122
              ],
              [
                84.36734693877551,
                79.79591836734697
              ]
            ],
            "tv": [
              80.08163265306122,
              84.36734693877551
            ],
            "delta": [
              2.285714285714249,
              2.285714285714292
            ],
            "residual": 2.285714285714292,
            "minDelta": 2.285714285714249,
            "maxDelta": 2.285714285714292,
            "spanDelta": 4.263256414560601e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              102.79591836734696,
              107.0816326530612
            ],
            "shiftDifference": [
              24.999999999999986,
              24.999999999999986
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285714249,
              2.285714285714292
            ],
            "approximate": [
              81.29591836734691,
              85.58163265306116
            ],
            "approximateTV": [
              83.58163265306116,
              87.86734693877546
            ],
            "approximateDelta": [
              2.285714285714249,
              2.285714285714292
            ],
            "approximateResidual": 2.285714285714292,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.499999999999943,
            "pathBound": 3.5,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285714286
          },
          {
            "k": 36,
            "value": [
              80.08163265306122,
              84.36734693877551
            ],
            "q": [
              [
                81.08163265306122,
                82.36734693877551
              ],
              [
                86.65306122448979,
                82.08163265306122
              ]
            ],
            "tv": [
              82.36734693877551,
              86.65306122448979
            ],
            "delta": [
              2.285714285714292,
              2.2857142857142776
            ],
            "residual": 2.285714285714292,
            "minDelta": 2.2857142857142776,
            "maxDelta": 2.285714285714292,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              105.0816326530612,
              109.3673469387755
            ],
            "shiftDifference": [
              24.999999999999986,
              24.999999999999986
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -1.4210854715202004e-14,
              -1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285714292,
              2.285714285714292
            ],
            "approximate": [
              83.68163265306116,
              87.96734693877545
            ],
            "approximateTV": [
              85.96734693877545,
              90.25306122448973
            ],
            "approximateDelta": [
              2.285714285714292,
              2.2857142857142776
            ],
            "approximateResidual": 2.285714285714292,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.5999999999999375,
            "pathBound": 3.6,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285714286
          },
          {
            "k": 37,
            "value": [
              82.36734693877551,
              86.65306122448979
            ],
            "q": [
              [
                83.36734693877551,
                84.65306122448979
              ],
              [
                88.93877551020407,
                84.36734693877551
              ]
            ],
            "tv": [
              84.65306122448979,
              88.93877551020407
            ],
            "delta": [
              2.2857142857142776,
              2.2857142857142776
            ],
            "residual": 2.2857142857142776,
            "minDelta": 2.2857142857142776,
            "maxDelta": 2.2857142857142776,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              107.3673469387755,
              111.65306122448979
            ],
            "shiftDifference": [
              24.999999999999986,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              -1.4210854715202004e-14,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285714292,
              2.285714285714292
            ],
            "approximate": [
              86.06734693877544,
              90.35306122448972
            ],
            "approximateTV": [
              88.35306122448972,
              92.63877551020401
            ],
            "approximateDelta": [
              2.2857142857142776,
              2.285714285714292
            ],
            "approximateResidual": 2.285714285714292,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.699999999999932,
            "pathBound": 3.7,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285714286
          },
          {
            "k": 38,
            "value": [
              84.65306122448979,
              88.93877551020407
            ],
            "q": [
              [
                85.65306122448979,
                86.93877551020407
              ],
              [
                91.22448979591834,
                86.65306122448979
              ]
            ],
            "tv": [
              86.93877551020407,
              91.22448979591834
            ],
            "delta": [
              2.2857142857142776,
              2.2857142857142776
            ],
            "residual": 2.2857142857142776,
            "minDelta": 2.2857142857142776,
            "maxDelta": 2.2857142857142776,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              109.65306122448979,
              113.93877551020408
            ],
            "shiftDifference": [
              25,
              25.000000000000014
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285714292,
              2.2857142857142776
            ],
            "approximate": [
              88.45306122448972,
              92.73877551020401
            ],
            "approximateTV": [
              90.73877551020401,
              95.0244897959183
            ],
            "approximateDelta": [
              2.285714285714292,
              2.285714285714292
            ],
            "approximateResidual": 2.285714285714292,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.7999999999999403,
            "pathBound": 3.8000000000000003,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285714286
          },
          {
            "k": 39,
            "value": [
              86.93877551020407,
              91.22448979591834
            ],
            "q": [
              [
                87.93877551020407,
                89.22448979591834
              ],
              [
                93.51020408163262,
                88.93877551020407
              ]
            ],
            "tv": [
              89.22448979591834,
              93.51020408163262
            ],
            "delta": [
              2.2857142857142776,
              2.2857142857142776
            ],
            "residual": 2.2857142857142776,
            "minDelta": 2.2857142857142776,
            "maxDelta": 2.2857142857142776,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              111.93877551020408,
              116.22448979591836
            ],
            "shiftDifference": [
              25.000000000000014,
              25.000000000000014
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              1.4210854715202004e-14,
              1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.2857142857142776,
              2.285714285714292
            ],
            "approximate": [
              90.838775510204,
              95.1244897959183
            ],
            "approximateTV": [
              93.1244897959183,
              97.41020408163257
            ],
            "approximateDelta": [
              2.285714285714292,
              2.2857142857142776
            ],
            "approximateResidual": 2.285714285714292,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.899999999999949,
            "pathBound": 3.9000000000000004,
            "updateNoise": [
              0.1,
              0.1
            ],
            "actualNextChange": 2.385714285714286
          },
          {
            "k": 40,
            "value": [
              89.22448979591834,
              93.51020408163262
            ],
            "q": [
              [
                90.22448979591834,
                91.51020408163262
              ],
              [
                95.7959183673469,
                91.22448979591834
              ]
            ],
            "tv": [
              91.51020408163262,
              95.7959183673469
            ],
            "delta": [
              2.2857142857142776,
              2.2857142857142776
            ],
            "residual": 2.2857142857142776,
            "minDelta": 2.2857142857142776,
            "maxDelta": 2.2857142857142776,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": null,
            "policyLoss": null,
            "policyBound": null,
            "error": null,
            "geometricBound": null,
            "residualBound": null,
            "lower": null,
            "upper": null,
            "policyLower": null,
            "optimalUpper": null,
            "certifiedStop": false,
            "shifted": [
              114.22448979591836,
              118.51020408163265
            ],
            "shiftDifference": [
              25.000000000000014,
              25.00000000000003
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              1.4210854715202004e-14,
              2.842170943040401e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              2.285714285714292,
              2.2857142857142776
            ],
            "approximate": [
              93.22448979591829,
              97.51020408163257
            ],
            "approximateTV": [
              95.51020408163257,
              99.79591836734686
            ],
            "approximateDelta": [
              2.2857142857142776,
              2.285714285714292
            ],
            "approximateResidual": 2.285714285714292,
            "approximateError": null,
            "approximateBound": null,
            "pathDistance": 3.999999999999943,
            "pathBound": 4,
            "updateNoise": null,
            "actualNextChange": null
          }
        ],
        "scan": [
          {
            "gamma": 0,
            "value": [
              1,
              4
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 3,
            "horizon": 1
          },
          {
            "gamma": 0.01,
            "value": [
              1.0101010101010102,
              4.028209662012478
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9698189134808857,
            "horizon": 1.0101010101010102
          },
          {
            "gamma": 0.02,
            "value": [
              1.0204081632653061,
              4.056845410228869
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9392712550607287,
            "horizon": 1.0204081632653061
          },
          {
            "gamma": 0.03,
            "value": [
              1.0309278350515465,
              4.085917651752157
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9083503054989817,
            "horizon": 1.0309278350515465
          },
          {
            "gamma": 0.04,
            "value": [
              1.0416666666666667,
              4.115437158469946
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8770491803278686,
            "horizon": 1.0416666666666667
          },
          {
            "gamma": 0.05,
            "value": [
              1.0526315789473684,
              4.145415084102008
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8453608247422677,
            "horizon": 1.0526315789473684
          },
          {
            "gamma": 0.06,
            "value": [
              1.0638297872340425,
              4.175862982254789
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.813278008298755,
            "horizon": 1.0638297872340425
          },
          {
            "gamma": 0.07,
            "value": [
              1.0752688172043012,
              4.206792825555032
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.780793319415449,
            "horizon": 1.0752688172043012
          },
          {
            "gamma": 0.08,
            "value": [
              1.0869565217391304,
              4.238217025940811
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.7478991596638656,
            "horizon": 1.0869565217391304
          },
          {
            "gamma": 0.09,
            "value": [
              1.0989010989010988,
              4.270148456194968
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.714587737843552,
            "horizon": 1.0989010989010988
          },
          {
            "gamma": 0.1,
            "value": [
              1.1111111111111112,
              4.302600472813239
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6808510638297873,
            "horizon": 1.1111111111111112
          },
          {
            "gamma": 0.11,
            "value": [
              1.1235955056179776,
              4.335586940307485
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.646680942184154,
            "horizon": 1.1235955056179776
          },
          {
            "gamma": 0.12,
            "value": [
              1.1363636363636365,
              4.3691222570532915
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6120689655172415,
            "horizon": 1.1363636363636365
          },
          {
            "gamma": 0.13,
            "value": [
              1.1494252873563218,
              4.403221382801007
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.577006507592191,
            "horizon": 1.1494252873563218
          },
          {
            "gamma": 0.14,
            "value": [
              1.1627906976744187,
              4.437899867980095
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.541484716157205,
            "horizon": 1.1627906976744187
          },
          {
            "gamma": 0.15,
            "value": [
              1.1764705882352942,
              4.47317388493859
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.5054945054945055,
            "horizon": 1.1764705882352942
          },
          {
            "gamma": 0.16,
            "value": [
              1.1904761904761905,
              4.5090602612726505
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.4690265486725664,
            "horizon": 1.1904761904761905
          },
          {
            "gamma": 0.17,
            "value": [
              1.2048192771084338,
              4.5455765154157834
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.432071269487751,
            "horizon": 1.2048192771084338
          },
          {
            "gamma": 0.18,
            "value": [
              1.2195121951219512,
              4.58274089467352
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3946188340807177,
            "horizon": 1.2195121951219512
          },
          {
            "gamma": 0.19,
            "value": [
              1.2345679012345678,
              4.6205724159072545
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.356659142212189,
            "horizon": 1.2345679012345678
          },
          {
            "gamma": 0.2,
            "value": [
              1.25,
              4.659090909090908
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3181818181818183,
            "horizon": 1.25
          },
          {
            "gamma": 0.21,
            "value": [
              1.2658227848101264,
              4.698317063986328
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.279176201372998,
            "horizon": 1.2658227848101264
          },
          {
            "gamma": 0.22,
            "value": [
              1.282051282051282,
              4.738272480207963
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.2396313364055302,
            "horizon": 1.282051282051282
          },
          {
            "gamma": 0.23,
            "value": [
              1.2987012987012987,
              4.77897972097508
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.19953596287703,
            "horizon": 1.2987012987012987
          },
          {
            "gamma": 0.24,
            "value": [
              1.3157894736842106,
              4.820462370880473
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.158878504672897,
            "horizon": 1.3157894736842106
          },
          {
            "gamma": 0.25,
            "value": [
              1.3333333333333333,
              4.862745098039216
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.117647058823529,
            "horizon": 1.3333333333333333
          },
          {
            "gamma": 0.26,
            "value": [
              1.3513513513513513,
              4.905853721019598
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.075829383886256,
            "horizon": 1.3513513513513513
          },
          {
            "gamma": 0.27,
            "value": [
              1.36986301369863,
              4.949815281001733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.0334128878281623,
            "horizon": 1.36986301369863
          },
          {
            "gamma": 0.28,
            "value": [
              1.3888888888888888,
              4.99465811965812
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.990384615384615,
            "horizon": 1.3888888888888888
          },
          {
            "gamma": 0.29,
            "value": [
              1.4084507042253522,
              5.040411963305255
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.9467312348668282,
            "horizon": 1.4084507042253522
          },
          {
            "gamma": 0.3,
            "value": [
              1.4285714285714286,
              5.087108013937282
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.902439024390244,
            "horizon": 1.4285714285714286
          },
          {
            "gamma": 0.31,
            "value": [
              1.4492753623188408,
              5.134779047822526
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.8574938574938573,
            "horizon": 1.4492753623188408
          },
          {
            "gamma": 0.32,
            "value": [
              1.4705882352941178,
              5.18345952242283
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.811881188118812,
            "horizon": 1.4705882352941178
          },
          {
            "gamma": 0.33,
            "value": [
              1.492537313432836,
              5.233185692485204
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7655860349127186,
            "horizon": 1.492537313432836
          },
          {
            "gamma": 0.34,
            "value": [
              1.5151515151515154,
              5.283995736257043
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7185929648241205,
            "horizon": 1.5151515151515154
          },
          {
            "gamma": 0.35,
            "value": [
              1.5384615384615383,
              5.335929892891918
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.6708860759493671,
            "horizon": 1.5384615384615383
          },
          {
            "gamma": 0.36,
            "value": [
              1.5625,
              5.389030612244897
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.622448979591837,
            "horizon": 1.5625
          },
          {
            "gamma": 0.37,
            "value": [
              1.5873015873015872,
              5.443342718406986
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5732647814910024,
            "horizon": 1.5873015873015872
          },
          {
            "gamma": 0.38,
            "value": [
              1.6129032258064517,
              5.498913588500752
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5233160621761659,
            "horizon": 1.6129032258064517
          },
          {
            "gamma": 0.39,
            "value": [
              1.639344262295082,
              5.555793348456962
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4725848563968666,
            "horizon": 1.639344262295082
          },
          {
            "gamma": 0.4,
            "value": [
              1.6666666666666667,
              5.614035087719298
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4210526315789476,
            "horizon": 1.6666666666666667
          },
          {
            "gamma": 0.41,
            "value": [
              1.6949152542372878,
              5.673695095086094
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3687002652519897,
            "horizon": 1.6949152542372878
          },
          {
            "gamma": 0.42,
            "value": [
              1.7241379310344827,
              5.7348331182002585
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3155080213903743,
            "horizon": 1.7241379310344827
          },
          {
            "gamma": 0.43,
            "value": [
              1.7543859649122806,
              5.797512649548399
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.261455525606469,
            "horizon": 1.7543859649122806
          },
          {
            "gamma": 0.44,
            "value": [
              1.7857142857142856,
              5.861801242236025
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.2065217391304346,
            "horizon": 1.7857142857142856
          },
          {
            "gamma": 0.45,
            "value": [
              1.8181818181818181,
              5.927770859277708
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.1506849315068493,
            "horizon": 1.8181818181818181
          },
          {
            "gamma": 0.46,
            "value": [
              1.8518518518518516,
              5.995498260691631
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.0939226519337009,
            "horizon": 1.8518518518518516
          },
          {
            "gamma": 0.47,
            "value": [
              1.8867924528301885,
              6.065065433331582
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.036211699164345,
            "horizon": 1.8867924528301885
          },
          {
            "gamma": 0.48,
            "value": [
              1.923076923076923,
              6.136560069144339
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.97752808988764,
            "horizon": 1.923076923076923
          },
          {
            "gamma": 0.49,
            "value": [
              1.9607843137254901,
              6.210076098428041
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.9178470254957503,
            "horizon": 1.9607843137254901
          },
          {
            "gamma": 0.5,
            "value": [
              2,
              6.2857142857142865
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.8571428571428568,
            "horizon": 2
          },
          {
            "gamma": 0.51,
            "value": [
              2.0408163265306123,
              6.3635828971357995
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7953890489913547,
            "horizon": 2.0408163265306123
          },
          {
            "gamma": 0.52,
            "value": [
              2.0833333333333335,
              6.443798449612404
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7325581395348832,
            "horizon": 2.0833333333333335
          },
          {
            "gamma": 0.53,
            "value": [
              2.127659574468085,
              6.526486553940226
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6686217008797648,
            "horizon": 2.127659574468085
          },
          {
            "gamma": 0.54,
            "value": [
              2.173913043478261,
              6.611782865963469
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6035502958579877,
            "horizon": 2.173913043478261
          },
          {
            "gamma": 0.55,
            "value": [
              2.2222222222222223,
              6.69983416252073
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.5373134328358202,
            "horizon": 2.2222222222222223
          },
          {
            "gamma": 0.56,
            "value": [
              2.272727272727273,
              6.790799561883901
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.4698795180722879,
            "horizon": 2.272727272727273
          },
          {
            "gamma": 0.57,
            "value": [
              2.325581395348837,
              6.8848519120661615
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.401215805471125,
            "horizon": 2.325581395348837
          },
          {
            "gamma": 0.58,
            "value": [
              2.380952380952381,
              6.982179374817411
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.3312883435582825,
            "horizon": 2.380952380952381
          },
          {
            "gamma": 0.59,
            "value": [
              2.4390243902439024,
              7.082987238541115
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.26006191950464475,
            "horizon": 2.4390243902439024
          },
          {
            "gamma": 0.6,
            "value": [
              2.5,
              7.187499999999999
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.1875000000000009,
            "horizon": 2.5
          },
          {
            "gamma": 0.61,
            "value": [
              2.564102564102564,
              7.295963762840733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.11356466876971627,
            "horizon": 2.564102564102564
          },
          {
            "gamma": 0.62,
            "value": [
              2.6315789473684212,
              7.408649011062689
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.03821656050955369,
            "horizon": 2.6315789473684212
          },
          {
            "gamma": 0.625,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policy": [
              0,
              0
            ],
            "campTie": true,
            "campGap": -4.440892098500626e-16,
            "horizon": 2.6666666666666665
          },
          {
            "gamma": 0.63,
            "value": [
              2.754511700198601,
              7.546843968569209
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0191693290734829,
            "horizon": 2.7027027027027026
          },
          {
            "gamma": 0.64,
            "value": [
              2.937013446567587,
              7.714083510261855
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.05732484076433142,
            "horizon": 2.7777777777777777
          },
          {
            "gamma": 0.65,
            "value": [
              3.129251700680274,
              7.891156462585035
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0952380952380949,
            "horizon": 2.857142857142857
          },
          {
            "gamma": 0.66,
            "value": [
              3.3320923306031274,
              8.078927773641102
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1329113924050631,
            "horizon": 2.9411764705882355
          },
          {
            "gamma": 0.67,
            "value": [
              3.5465060701653774,
              8.278367268903548
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1703470031545744,
            "horizon": 3.0303030303030307
          },
          {
            "gamma": 0.68,
            "value": [
              3.773584905660378,
              8.490566037735851
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.20754716981132226,
            "horizon": 3.1250000000000004
          },
          {
            "gamma": 0.69,
            "value": [
              4.014561634138941,
              8.716755991505714
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2445141065830727,
            "horizon": 3.2258064516129026
          },
          {
            "gamma": 0.7,
            "value": [
              4.270833333333332,
              8.95833333333333
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2812499999999991,
            "horizon": 3.333333333333333
          },
          {
            "gamma": 0.71,
            "value": [
              4.543989687399291,
              9.216886883660973
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.31775700934579376,
            "horizon": 3.4482758620689653
          },
          {
            "gamma": 0.72,
            "value": [
              4.835847382431233,
              9.494232475598935
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.354037267080745,
            "horizon": 3.571428571428571
          },
          {
            "gamma": 0.73,
            "value": [
              5.14849214539617,
              9.792454993693381
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.39009287925696423,
            "horizon": 3.7037037037037033
          },
          {
            "gamma": 0.74,
            "value": [
              5.484330484330483,
              10.113960113960113
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.4259259259259256,
            "horizon": 3.846153846153846
          },
          {
            "gamma": 0.75,
            "value": [
              5.846153846153846,
              10.461538461538462
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.46153846153846256,
            "horizon": 4
          },
          {
            "gamma": 0.76,
            "value": [
              6.237218813905932,
              10.838445807770963
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.49693251533742266,
            "horizon": 4.166666666666667
          },
          {
            "gamma": 0.77,
            "value": [
              6.661348224970084,
              11.248504188272838
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.532110091743121,
            "horizon": 4.347826086956522
          },
          {
            "gamma": 0.78,
            "value": [
              7.123059866962307,
              11.696230598669622
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.5670731707317067,
            "horizon": 4.545454545454546
          },
          {
            "gamma": 0.79,
            "value": [
              7.6277319438413675,
              12.187002460558695
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6018237082066893,
            "horizon": 4.761904761904763
          },
          {
            "gamma": 0.8,
            "value": [
              8.181818181818185,
              12.727272727272732
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6363636363636385,
            "horizon": 5.000000000000001
          },
          {
            "gamma": 0.81,
            "value": [
              8.793130863412312,
              13.324852917792974
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6706948640483379,
            "horizon": 5.263157894736843
          },
          {
            "gamma": 0.82,
            "value": [
              9.471218206157964,
              13.989290495314588
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7048192771084327,
            "horizon": 5.5555555555555545
          },
          {
            "gamma": 0.83,
            "value": [
              10.227874933757283,
              14.732379438261788
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7387387387387392,
            "horizon": 5.882352941176469
          },
          {
            "gamma": 0.84,
            "value": [
              11.077844311377243,
              15.5688622754491
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7724550898203599,
            "horizon": 6.249999999999999
          },
          {
            "gamma": 0.85,
            "value": [
              12.039800995024873,
              16.51741293532338
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8059701492537332,
            "horizon": 6.666666666666666
          },
          {
            "gamma": 0.86,
            "value": [
              13.137755102040815,
              17.60204081632653
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8392857142857135,
            "horizon": 7.142857142857142
          },
          {
            "gamma": 0.87,
            "value": [
              14.403104314083542,
              18.854142889751195
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8724035608308576,
            "horizon": 7.692307692307692
          },
          {
            "gamma": 0.88,
            "value": [
              15.877712031558186,
              20.315581854043394
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9053254437869818,
            "horizon": 8.333333333333334
          },
          {
            "gamma": 0.89,
            "value": [
              17.618664521319392,
              22.04344328238134
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9380530973451329,
            "horizon": 9.090909090909092
          },
          {
            "gamma": 0.9,
            "value": [
              19.705882352941185,
              24.117647058823533
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.970588235294116,
            "horizon": 10.000000000000002
          },
          {
            "gamma": 0.91,
            "value": [
              22.254806125773875,
              26.653633105246016
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.002932551319649,
            "horizon": 11.111111111111114
          },
          {
            "gamma": 0.92,
            "value": [
              25.438596491228086,
              29.82456140350879
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0350877192982466,
            "horizon": 12.500000000000007
          },
          {
            "gamma": 0.93,
            "value": [
              29.52936276551439,
              33.90254060807999
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0670553935860099,
            "horizon": 14.285714285714295
          },
          {
            "gamma": 0.94,
            "value": [
              34.98062015503873,
              39.3410852713178
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0988372093023244,
            "horizon": 16.666666666666654
          },
          {
            "gamma": 0.95,
            "value": [
              42.60869565217387,
              46.95652173913039
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1304347826086882,
            "horizon": 19.999999999999982
          },
          {
            "gamma": 0.96,
            "value": [
              54.04624277456642,
              58.38150289017335
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1618497109826507,
            "horizon": 24.99999999999998
          },
          {
            "gamma": 0.97,
            "value": [
              73.102785782901,
              77.42555235350619
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1930835734870442,
            "horizon": 33.33333333333331
          },
          {
            "gamma": 0.98,
            "value": [
              111.20689655172404,
              115.51724137931022
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2241379310344485,
            "horizon": 49.99999999999996
          },
          {
            "gamma": 0.99,
            "value": [
              225.5014326647562,
              229.79942693409717
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2550143266475686,
            "horizon": 99.99999999999991
          },
          {
            "gamma": 1,
            "value": null,
            "policy": null,
            "campTie": false,
            "campGap": null,
            "horizon": null
          }
        ],
        "scope": "已知有限模型的确定性演示。数学界在实数算术下成立；此处为普通双精度读数，未做向外舍入区间认证。γ=1仅报告有限轮，不给无限时域价值或收敛证书。并列时确定性选第一动作，原始动作差保留。"
      }
    },
    {
      "key": "alternating",
      "data": {
        "version": 178,
        "parameters": {
          "gamma": 0.95,
          "steps": 80,
          "camp": 0,
          "mine": 0,
          "shift": 25,
          "epsilon": 0.5,
          "pattern": "alternating",
          "tolerance": 0.05
        },
        "model": [
          [
            {
              "name": "采集",
              "r": 1,
              "p": [
                1,
                0
              ]
            },
            {
              "name": "远行",
              "r": -2,
              "p": [
                0,
                1
              ]
            }
          ],
          [
            {
              "name": "收获",
              "r": 4,
              "p": [
                0.4,
                0.6
              ]
            },
            {
              "name": "返回",
              "r": 2,
              "p": [
                1,
                0
              ]
            }
          ]
        ],
        "star": [
          42.60869565217387,
          46.95652173913039
        ],
        "initialError": 46.95652173913039,
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "matrix": [
              [
                0.050000000000000044,
                0
              ],
              [
                -0.38,
                0.43000000000000005
              ]
            ],
            "det": 0.021500000000000023,
            "value": [
              19.999999999999982,
              26.976744186046492
            ],
            "q": [
              [
                19.999999999999982,
                23.627906976744168
              ],
              [
                26.976744186046492,
                20.999999999999982
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              3.6279069767441854,
              0
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "matrix": [
              [
                0.050000000000000044,
                0
              ],
              [
                -0.95,
                1
              ]
            ],
            "det": 0.050000000000000044,
            "value": [
              19.999999999999982,
              20.999999999999982
            ],
            "q": [
              [
                19.999999999999982,
                17.94999999999998
              ],
              [
                23.56999999999998,
                20.999999999999982
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              2.5699999999999967
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "matrix": [
              [
                1,
                -0.95
              ],
              [
                -0.38,
                0.43000000000000005
              ]
            ],
            "det": 0.06900000000000006,
            "value": [
              42.60869565217387,
              46.956521739130395
            ],
            "q": [
              [
                41.478260869565176,
                42.60869565217387
              ],
              [
                46.956521739130395,
                42.478260869565176
              ]
            ],
            "residual": [
              0,
              0
            ],
            "gaps": [
              0,
              0
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "matrix": [
              [
                1,
                -0.95
              ],
              [
                -0.95,
                1
              ]
            ],
            "det": 0.09750000000000003,
            "value": [
              -1.0256410256410262,
              1.0256410256410262
            ],
            "q": [
              [
                0.025641025641025106,
                -1.025641025641025
              ],
              [
                4.194871794871795,
                1.025641025641025
              ]
            ],
            "residual": [
              1.1102230246251565e-15,
              -1.1102230246251565e-15
            ],
            "gaps": [
              1.0512820512820502,
              3.16923076923077
            ]
          }
        ],
        "rows": [
          {
            "k": 0,
            "value": [
              0,
              0
            ],
            "q": [
              [
                1,
                -2
              ],
              [
                4,
                2
              ]
            ],
            "tv": [
              1,
              4
            ],
            "delta": [
              1,
              4
            ],
            "residual": 4,
            "minDelta": 1,
            "maxDelta": 4,
            "spanDelta": 3,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              19.999999999999982,
              26.976744186046492
            ],
            "policyLoss": 22.60869565217389,
            "policyBound": 56.99999999999994,
            "error": 46.95652173913039,
            "geometricBound": 46.95652173913039,
            "residualBound": 79.99999999999993,
            "lower": [
              19.999999999999982,
              19.999999999999982
            ],
            "upper": [
              79.99999999999993,
              79.99999999999993
            ],
            "policyLower": [
              19.999999999999982,
              22.999999999999982
            ],
            "optimalUpper": [
              76.99999999999993,
              79.99999999999993
            ],
            "certifiedStop": false,
            "shifted": [
              25,
              25
            ],
            "shiftDifference": [
              25,
              25
            ],
            "shiftExpected": 25,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.25,
              2.75
            ],
            "approximate": [
              0,
              0
            ],
            "approximateTV": [
              1,
              4
            ],
            "approximateDelta": [
              1,
              4
            ],
            "approximateResidual": 4,
            "approximateError": 46.95652173913039,
            "approximateBound": 46.95652173913039,
            "pathDistance": 0,
            "pathBound": 0,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 3.5
          },
          {
            "k": 1,
            "value": [
              1,
              4
            ],
            "q": [
              [
                1.95,
                1.7999999999999998
              ],
              [
                6.66,
                2.95
              ]
            ],
            "tv": [
              1.95,
              6.66
            ],
            "delta": [
              0.95,
              2.66
            ],
            "residual": 2.66,
            "minDelta": 0.95,
            "maxDelta": 2.66,
            "spanDelta": 1.7100000000000002,
            "policy": [
              0,
              0
            ],
            "policyValue": [
              19.999999999999982,
              26.976744186046492
            ],
            "policyLoss": 22.60869565217389,
            "policyBound": 32.489999999999974,
            "error": 42.95652173913039,
            "geometricBound": 44.608695652173864,
            "residualBound": 53.19999999999995,
            "lower": [
              19.999999999999982,
              22.999999999999982
            ],
            "upper": [
              54.19999999999995,
              57.19999999999995
            ],
            "policyLower": [
              19.999999999999982,
              24.709999999999983
            ],
            "optimalUpper": [
              52.48999999999996,
              57.19999999999996
            ],
            "certifiedStop": false,
            "shifted": [
              24.75,
              27.75
            ],
            "shiftDifference": [
              23.75,
              23.75
            ],
            "shiftExpected": 23.75,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              0,
              0
            ],
            "shiftResidual": [
              -0.2375000000000007,
              1.4724999999999966
            ],
            "approximate": [
              1.5,
              3.5
            ],
            "approximateTV": [
              2.425,
              6.5649999999999995
            ],
            "approximateDelta": [
              0.9249999999999998,
              3.0649999999999995
            ],
            "approximateResidual": 3.0649999999999995,
            "approximateError": 43.45652173913039,
            "approximateBound": 45.108695652173864,
            "pathDistance": 0.5,
            "pathBound": 0.5,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 3.5649999999999995
          },
          {
            "k": 2,
            "value": [
              1.95,
              6.66
            ],
            "q": [
              [
                2.8525,
                4.327
              ],
              [
                8.537199999999999,
                3.8525
              ]
            ],
            "tv": [
              4.327,
              8.537199999999999
            ],
            "delta": [
              2.377,
              1.8771999999999984
            ],
            "residual": 2.377,
            "minDelta": 1.8771999999999984,
            "maxDelta": 2.377,
            "spanDelta": 0.49980000000000135,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 9.496200000000018,
            "error": 40.65869565217387,
            "geometricBound": 42.378260869565175,
            "residualBound": 47.53999999999996,
            "lower": [
              39.493999999999936,
              44.20399999999994
            ],
            "upper": [
              49.48999999999996,
              54.19999999999996
            ],
            "policyLower": [
              39.993799999999936,
              44.20399999999994
            ],
            "optimalUpper": [
              49.48999999999995,
              53.70019999999995
            ],
            "certifiedStop": false,
            "shifted": [
              24.5125,
              29.222499999999997
            ],
            "shiftDifference": [
              22.5625,
              22.562499999999996
            ],
            "shiftExpected": 22.5625,
            "shiftDefect": [
              0,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              1.2488749999999946,
              0.7490749999999977
            ],
            "approximate": [
              1.9249999999999998,
              7.0649999999999995
            ],
            "approximateTV": [
              4.711749999999999,
              8.75855
            ],
            "approximateDelta": [
              2.7867499999999996,
              1.69355
            ],
            "approximateResidual": 2.7867499999999996,
            "approximateError": 40.683695652173874,
            "approximateBound": 43.353260869565176,
            "pathDistance": 0.40499999999999936,
            "pathBound": 0.9749999999999994,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 3.2867499999999996
          },
          {
            "k": 3,
            "value": [
              4.327,
              8.537199999999999
            ],
            "q": [
              [
                5.11065,
                6.110339999999999
              ],
              [
                10.510463999999999,
                6.11065
              ]
            ],
            "tv": [
              6.110339999999999,
              10.510463999999999
            ],
            "delta": [
              1.783339999999999,
              1.9732640000000004
            ],
            "residual": 1.9732640000000004,
            "minDelta": 1.783339999999999,
            "maxDelta": 1.9732640000000004,
            "spanDelta": 0.18992400000000131,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 3.608556000000022,
            "error": 38.41932173913039,
            "geometricBound": 40.25934782608691,
            "residualBound": 39.46527999999997,
            "lower": [
              39.99379999999995,
              44.20399999999995
            ],
            "upper": [
              43.79227999999997,
              48.00247999999997
            ],
            "policyLower": [
              39.99379999999995,
              44.39392399999995
            ],
            "optimalUpper": [
              43.60235599999997,
              48.00247999999997
            ],
            "certifiedStop": false,
            "shifted": [
              25.761374999999994,
              29.971574999999994
            ],
            "shiftDifference": [
              21.434374999999996,
              21.434374999999996
            ],
            "shiftExpected": 21.434374999999996,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7116212500000003,
              0.9015452500000016
            ],
            "approximate": [
              5.211749999999999,
              8.25855
            ],
            "approximateTV": [
              5.951162499999999,
              10.687838499999998
            ],
            "approximateDelta": [
              0.7394124999999994,
              2.4292884999999984
            ],
            "approximateResidual": 2.4292884999999984,
            "approximateError": 38.69797173913039,
            "approximateBound": 41.68559782608691,
            "pathDistance": 0.8847499999999995,
            "pathBound": 1.4262499999999998,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.9292884999999984
          },
          {
            "k": 4,
            "value": [
              6.110339999999999,
              10.510463999999999
            ],
            "q": [
              [
                6.804822999999999,
                7.984940799999999
              ],
              [
                12.312893679999998,
                7.804822999999999
              ]
            ],
            "tv": [
              7.984940799999999,
              12.312893679999998
            ],
            "delta": [
              1.8746007999999996,
              1.8024296799999995
            ],
            "residual": 1.8746007999999996,
            "minDelta": 1.8024296799999995,
            "maxDelta": 1.8746007999999996,
            "spanDelta": 0.07217112000000014,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.3712512800000014,
            "error": 36.49835565217387,
            "geometricBound": 38.246380434782566,
            "residualBound": 37.49201599999996,
            "lower": [
              42.158933599999955,
              46.55905759999995
            ],
            "upper": [
              43.60235599999996,
              48.002479999999956
            ],
            "policyLower": [
              42.231104719999955,
              46.55905759999996
            ],
            "optimalUpper": [
              43.60235599999996,
              47.930308879999956
            ],
            "certifiedStop": false,
            "shifted": [
              26.472996249999994,
              30.873120249999996
            ],
            "shiftDifference": [
              20.362656249999993,
              20.362656249999997
            ],
            "shiftExpected": 20.362656249999997,
            "shiftDefect": [
              -3.552713678800501e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.8564679875000003,
              0.7842968674999966
            ],
            "approximate": [
              5.451162499999999,
              11.187838499999998
            ],
            "approximateTV": [
              8.628446574999998,
              12.448509694999998
            ],
            "approximateDelta": [
              3.1772840749999993,
              1.2606711950000005
            ],
            "approximateResidual": 3.1772840749999993,
            "approximateError": 37.15753315217387,
            "approximateBound": 40.101317934782564,
            "pathDistance": 0.6773744999999991,
            "pathBound": 1.8549374999999997,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 3.6772840749999993
          },
          {
            "k": 5,
            "value": [
              7.984940799999999,
              12.312893679999998
            ],
            "q": [
              [
                8.585693759999998,
                9.697248995999997
              ],
              [
                14.052626901599998,
                9.585693759999998
              ]
            ],
            "tv": [
              9.697248995999997,
              14.052626901599998
            ],
            "delta": [
              1.7123081959999986,
              1.7397332215999999
            ],
            "residual": 1.7397332215999999,
            "minDelta": 1.7123081959999986,
            "maxDelta": 1.7397332215999999,
            "spanDelta": 0.027425025600001263,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.5210754864000234,
            "error": 34.64362805913039,
            "geometricBound": 36.33406141304343,
            "residualBound": 34.79466443199997,
            "lower": [
              42.23110471999994,
              46.559057599999946
            ],
            "upper": [
              42.779605231999966,
              47.107558111999964
            ],
            "policyLower": [
              42.23110471999994,
              46.58648262559994
            ],
            "optimalUpper": [
              42.75218020639996,
              47.107558111999964
            ],
            "certifiedStop": false,
            "shifted": [
              27.329464237499995,
              31.657417117499993
            ],
            "shiftDifference": [
              19.344523437499994,
              19.344523437499994
            ],
            "shiftExpected": 19.344523437499994,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7450820241249971,
              0.7725070497250037
            ],
            "approximate": [
              9.128446574999998,
              11.948509694999998
            ],
            "approximateTV": [
              9.672024246249999,
              14.279460224649998
            ],
            "approximateDelta": [
              0.5435776712500004,
              2.33095052965
            ],
            "approximateResidual": 2.33095052965,
            "approximateError": 35.00801204413039,
            "approximateBound": 38.59625203804343,
            "pathDistance": 1.1435057749999995,
            "pathBound": 2.262190625,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.83095052965
          },
          {
            "k": 6,
            "value": [
              9.697248995999997,
              14.052626901599998
            ],
            "q": [
              [
                10.212386546199998,
                11.349995556519998
              ],
              [
                15.694951952391998,
                11.212386546199998
              ]
            ],
            "tv": [
              11.349995556519998,
              15.694951952391998
            ],
            "delta": [
              1.6527465605200007,
              1.6423250507919995
            ],
            "residual": 1.6527465605200007,
            "minDelta": 1.6423250507919995,
            "maxDelta": 1.6527465605200007,
            "spanDelta": 0.010421509728001155,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.19800868483202175,
            "error": 32.91144665617387,
            "geometricBound": 34.51735834239126,
            "residualBound": 33.054931210399985,
            "lower": [
              42.54375001183996,
              46.89912791743996
            ],
            "upper": [
              42.752180206399984,
              47.107558111999985
            ],
            "policyLower": [
              42.55417152156796,
              46.89912791743996
            ],
            "optimalUpper": [
              42.75218020639998,
              47.09713660227198
            ],
            "certifiedStop": false,
            "shifted": [
              28.07454626162499,
              32.429924167224996
            ],
            "shiftDifference": [
              18.377297265624996,
              18.377297265624996
            ],
            "shiftExpected": 18.377297265624996,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.7338816972387541,
              0.7234601875107458
            ],
            "approximate": [
              9.172024246249999,
              14.779460224649998
            ],
            "approximateTV": [
              12.040487213417498,
              15.909661541625498
            ],
            "approximateDelta": [
              2.868462967167499,
              1.1302013169754996
            ],
            "approximateResidual": 2.868462967167499,
            "approximateError": 33.436671405923875,
            "approximateBound": 37.16643943614126,
            "pathDistance": 0.7268333230500001,
            "pathBound": 2.6490810937499996,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 3.368462967167499
          },
          {
            "k": 7,
            "value": [
              11.349995556519998,
              15.694951952391998
            ],
            "q": [
              [
                11.782495778693997,
                12.910204354772397
              ],
              [
                17.25912092434104,
                12.782495778693997
              ]
            ],
            "tv": [
              12.910204354772397,
              17.25912092434104
            ],
            "delta": [
              1.5602087982523987,
              1.5641689719490426
            ],
            "residual": 1.5641689719490426,
            "minDelta": 1.5602087982523987,
            "maxDelta": 1.5641689719490426,
            "spanDelta": 0.0039601736966439205,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.07524330023623442,
            "error": 31.26156978673839,
            "geometricBound": 32.7914904252717,
            "residualBound": 31.283379438980823,
            "lower": [
              42.554171521567945,
              46.89912791743994
            ],
            "upper": [
              42.63337499550082,
              46.97833139137282
            ],
            "policyLower": [
              42.554171521567945,
              46.90308809113659
            ],
            "optimalUpper": [
              42.629414821804176,
              46.97833139137282
            ],
            "certifiedStop": false,
            "shifted": [
              28.808427958863746,
              33.15338435473574
            ],
            "shiftDifference": [
              17.458432402343746,
              17.458432402343746
            ],
            "shiftExpected": 17.458432402343742,
            "shiftDefect": [
              3.552713678800501e-15,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6872871781352075,
              0.6912473518318549
            ],
            "approximate": [
              12.540487213417498,
              15.409661541625498
            ],
            "approximateTV": [
              12.913462852746623,
              17.548892219825184
            ],
            "approximateDelta": [
              0.37297563932912503,
              2.139230678199686
            ],
            "approximateResidual": 2.139230678199686,
            "approximateError": 31.54686019750489,
            "approximateBound": 35.808117464334195,
            "pathDistance": 1.1904916568974997,
            "pathBound": 3.0166270390625,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.639230678199686
          },
          {
            "k": 8,
            "value": [
              12.910204354772397,
              17.25912092434104
            ],
            "q": [
              [
                13.264694137033777,
                14.396164878123987
              ],
              [
                18.743576581687904,
                14.264694137033777
              ]
            ],
            "tv": [
              14.396164878123987,
              18.743576581687904
            ],
            "delta": [
              1.48596052335159,
              1.4844556573468637
            ],
            "residual": 1.48596052335159,
            "minDelta": 1.4844556573468637,
            "maxDelta": 1.48596052335159,
            "spanDelta": 0.001504866004726324,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.02859245408980013,
            "error": 29.698491297401475,
            "geometricBound": 31.15191590400811,
            "residualBound": 29.719210467031775,
            "lower": [
              42.59931750170965,
              46.94823407127829
            ],
            "upper": [
              42.629414821804176,
              46.97833139137282
            ],
            "policyLower": [
              42.60082236771437,
              46.94823407127829
            ],
            "optimalUpper": [
              42.62941482180417,
              46.97682652536808
            ],
            "certifiedStop": false,
            "shifted": [
              29.495715136998953,
              33.8446317065676
            ],
            "shiftDifference": [
              16.585510782226557,
              16.585510782226557
            ],
            "shiftExpected": 16.585510782226557,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6566849842402647,
              0.6551801182355348
            ],
            "approximate": [
              12.413462852746623,
              18.048892219825184
            ],
            "approximateTV": [
              15.146447608833924,
              19.00498444934407
            ],
            "approximateDelta": [
              2.7329847560873013,
              0.9560922295188874
            ],
            "approximateResidual": 2.7329847560873013,
            "approximateError": 30.19523279942725,
            "approximateBound": 34.51771159111748,
            "pathDistance": 0.7897712954841438,
            "pathBound": 3.3657956871093746,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 3.2329847560873013
          },
          {
            "k": 9,
            "value": [
              14.396164878123987,
              18.743576581687904
            ],
            "q": [
              [
                14.676356634217786,
                15.806397752603509
              ],
              [
                20.15438130524922,
                15.676356634217786
              ]
            ],
            "tv": [
              15.806397752603509,
              20.15438130524922
            ],
            "delta": [
              1.4102328744795223,
              1.4108047235613164
            ],
            "residual": 1.4108047235613164,
            "minDelta": 1.4102328744795223,
            "maxDelta": 1.4108047235613164,
            "spanDelta": 0.0005718490817940847,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.010865132554087598,
            "error": 28.212945157442483,
            "geometricBound": 29.5943201088077,
            "residualBound": 28.216094471226302,
            "lower": [
              42.60082236771441,
              46.94823407127832
            ],
            "upper": [
              42.61225934935029,
              46.9596710529142
            ],
            "policyLower": [
              42.60082236771441,
              46.948805920360115
            ],
            "optimalUpper": [
              42.611687500268495,
              46.9596710529142
            ],
            "certifiedStop": false,
            "shifted": [
              30.152400121239218,
              34.49981182480313
            ],
            "shiftDifference": [
              15.756235243115231,
              15.756235243115228
            ],
            "shiftExpected": 15.756235243115228,
            "shiftDefect": [
              3.552713678800501e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.6224211123237566,
              0.6229929614055507
            ],
            "approximate": [
              15.646447608833924,
              18.50498444934407
            ],
            "approximateTV": [
              15.864125228392227,
              20.493491227483013
            ],
            "approximateDelta": [
              0.21767761955830345,
              1.988506778138941
            ],
            "approximateResidual": 1.988506778138941,
            "approximateError": 28.451537289786316,
            "approximateBound": 33.291826011561604,
            "pathDistance": 1.2502827307099373,
            "pathBound": 3.697505902753906,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.488506778138941
          },
          {
            "k": 10,
            "value": [
              15.806397752603509,
              20.15438130524922
            ],
            "q": [
              [
                16.016077864973333,
                17.146662239986757
              ],
              [
                21.494428489981388,
                17.016077864973333
              ]
            ],
            "tv": [
              17.146662239986757,
              21.494428489981388
            ],
            "delta": [
              1.3402644873832479,
              1.3400471847321676
            ],
            "residual": 1.3402644873832479,
            "minDelta": 1.3400471847321676,
            "maxDelta": 1.3402644873832479,
            "spanDelta": 0.0002173026510803311,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.004128750370526286,
            "error": 26.802297899570362,
            "geometricBound": 28.114604103367316,
            "residualBound": 26.805289747664933,
            "lower": [
              42.60734144724684,
              46.95532499989255
            ],
            "upper": [
              42.611687500268445,
              46.95967105291415
            ],
            "policyLower": [
              42.60755874989792,
              46.95532499989255
            ],
            "optimalUpper": [
              42.611687500268445,
              46.95945375026308
            ],
            "certifiedStop": false,
            "shifted": [
              30.774821233562974,
              35.12280478620868
            ],
            "shiftDifference": [
              14.968423480959466,
              14.968423480959462
            ],
            "shiftExpected": 14.968423480959467,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.591843313335275,
              0.5916260106842017
            ],
            "approximate": [
              15.364125228392227,
              20.993491227483013
            ],
            "approximateTV": [
              17.943816666108862,
              21.80465758645436
            ],
            "approximateDelta": [
              2.579691437716635,
              0.8111663589713487
            ],
            "approximateResidual": 2.579691437716635,
            "approximateError": 27.244570423781646,
            "approximateBound": 32.12723471098353,
            "pathDistance": 0.8391099222337921,
            "pathBound": 4.0126306076162095,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 3.079691437716635
          },
          {
            "k": 11,
            "value": [
              17.146662239986757,
              21.494428489981388
            ],
            "q": [
              [
                17.28932912798742,
                18.419707065482317
              ],
              [
                22.767555890484356,
                18.28932912798742
              ]
            ],
            "tv": [
              18.419707065482317,
              22.767555890484356
            ],
            "delta": [
              1.2730448254955604,
              1.2731274005029682
            ],
            "residual": 1.2731274005029682,
            "minDelta": 1.2730448254955604,
            "maxDelta": 1.2731274005029682,
            "spanDelta": 8.257500740782575e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.0015689251407486878,
            "error": 25.462093249149,
            "geometricBound": 26.70887389819895,
            "residualBound": 25.462548010059344,
            "lower": [
              42.60755874989795,
              46.955324999892575
            ],
            "upper": [
              42.609210250046104,
              46.95697650004073
            ],
            "policyLower": [
              42.60755874989795,
              46.95540757489998
            ],
            "optimalUpper": [
              42.60912767503869,
              46.95697650004073
            ],
            "certifiedStop": false,
            "shifted": [
              31.36666454689825,
              35.714430796892884
            ],
            "shiftDifference": [
              14.220002306911493,
              14.220002306911496
            ],
            "shiftExpected": 14.220002306911491,
            "shiftDefect": [
              1.7763568394002505e-15,
              5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5620447101499906,
              0.5621272851573949
            ],
            "approximate": [
              18.443816666108862,
              21.30465758645436
            ],
            "approximateTV": [
              18.52162583280342,
              23.152305157400352
            ],
            "approximateDelta": [
              0.07780916669455706,
              1.8476475709459912
            ],
            "approximateResidual": 1.8476475709459912,
            "approximateError": 25.651864152676026,
            "approximateBound": 31.020872975434347,
            "pathDistance": 1.2971544261221055,
            "pathBound": 4.3119990772353995,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.347647570945991
          },
          {
            "k": 12,
            "value": [
              18.419707065482317,
              22.767555890484356
            ],
            "q": [
              [
                18.4987217122082,
                19.62917809596014
              ],
              [
                23.976995542459363,
                19.4987217122082
              ]
            ],
            "tv": [
              19.62917809596014,
              23.976995542459363
            ],
            "delta": [
              1.2094710304778218,
              1.209439651975007
            ],
            "residual": 1.2094710304778218,
            "minDelta": 1.209439651975007,
            "maxDelta": 1.2094710304778218,
            "spanDelta": 3.137850281476062e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.0005961915534804513,
            "error": 24.188988586691554,
            "geometricBound": 25.373430203289,
            "residualBound": 24.189420609556414,
            "lower": [
              42.60850010498244,
              46.95634892998447
            ],
            "upper": [
              42.609127675038735,
              46.95697650004077
            ],
            "policyLower": [
              42.60853148348525,
              46.95634892998448
            ],
            "optimalUpper": [
              42.609127675038735,
              46.956945121537956
            ],
            "certifiedStop": false,
            "shifted": [
              31.92870925704824,
              36.27655808205028
            ],
            "shiftDifference": [
              13.509002191565923,
              13.509002191565923
            ],
            "shiftExpected": 13.509002191565916,
            "shiftDefect": [
              7.105427357601002e-15,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5340209208995219,
              0.5339895423967036
            ],
            "approximate": [
              18.02162583280342,
              23.652305157400352
            ],
            "approximateTV": [
              20.469689899530334,
              24.330031756183498
            ],
            "approximateDelta": [
              2.4480640667269142,
              0.6777265987831456
            ],
            "approximateResidual": 2.4480640667269142,
            "approximateError": 24.587069819370452,
            "approximateBound": 29.96982932666263,
            "pathDistance": 0.8847492669159962,
            "pathBound": 4.596399123373629,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.9480640667269142
          },
          {
            "k": 13,
            "value": [
              19.62917809596014,
              23.976995542459363
            ],
            "q": [
              [
                19.647719191162132,
                20.778145765336394
              ],
              [
                25.12597513566669,
                20.647719191162132
              ]
            ],
            "tv": [
              20.778145765336394,
              25.12597513566669
            ],
            "delta": [
              1.1489676693762547,
              1.1489795932073257
            ],
            "residual": 1.1489795932073257,
            "minDelta": 1.1489676693762547,
            "maxDelta": 1.1489795932073257,
            "spanDelta": 1.1923831070959068e-05,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0.00022655279034822207,
            "error": 22.979526196671024,
            "geometricBound": 24.10475869312455,
            "residualBound": 22.979591864146492,
            "lower": [
              42.60853148348521,
              46.956348929984436
            ],
            "upper": [
              42.60876996010663,
              46.956587406605856
            ],
            "policyLower": [
              42.60853148348521,
              46.95636085381551
            ],
            "optimalUpper": [
              42.60875803627556,
              46.956587406605856
            ],
            "certifiedStop": false,
            "shifted": [
              32.46273017794776,
              36.81054762444698
            ],
            "shiftDifference": [
              12.833552081987623,
              12.83355208198762
            ],
            "shiftExpected": 12.83355208198762,
            "shiftDefect": [
              3.552713678800501e-15,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.5072900652768695,
              0.5073019891079511
            ],
            "approximate": [
              20.969689899530334,
              23.830031756183498
            ],
            "approximateTV": [
              20.921205404553817,
              25.55160026284612
            ],
            "approximateDelta": [
              -0.048484494976516856,
              1.7215685066626207
            ],
            "approximateResidual": 1.7215685066626207,
            "approximateError": 23.12648998294689,
            "approximateBound": 28.971337860329495,
            "pathDistance": 1.3405118035701946,
            "pathBound": 4.866579167204947,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.2215685066626207
          },
          {
            "k": 14,
            "value": [
              20.778145765336394,
              25.12597513566669
            ],
            "q": [
              [
                20.739238477069573,
                21.869676378883355
              ],
              [
                26.21750121815784,
                21.739238477069573
              ]
            ],
            "tv": [
              21.869676378883355,
              26.21750121815784
            ],
            "delta": [
              1.0915306135469613,
              1.09152608249115
            ],
            "residual": 1.0915306135469613,
            "minDelta": 1.09152608249115,
            "maxDelta": 1.0915306135469613,
            "spanDelta": 4.531055811440865e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 8.609006041737635e-05,
            "error": 21.830549886837478,
            "geometricBound": 22.89952075846832,
            "residualBound": 21.83061227093921,
            "lower": [
              42.608667415159374,
              46.95649678548967
            ],
            "upper": [
              42.6087580362756,
              46.9565874066059
            ],
            "policyLower": [
              42.60867194621518,
              46.95649678548967
            ],
            "optimalUpper": [
              42.6087580362756,
              46.95658287555008
            ],
            "certifiedStop": false,
            "shifted": [
              32.97002024322463,
              37.317849613554934
            ],
            "shiftDifference": [
              12.191874477888238,
              12.191874477888245
            ],
            "shiftExpected": 12.191874477888238,
            "shiftDefect": [
              0,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.48193688965255177,
              0.4819323585967439
            ],
            "approximate": [
              20.421205404553817,
              26.05160026284612
            ],
            "approximateTV": [
              22.74902024970381,
              26.60947020355274
            ],
            "approximateDelta": [
              2.3278148451499945,
              0.5578699407066203
            ],
            "approximateResidual": 2.3278148451499945,
            "approximateError": 22.187490247620055,
            "approximateBound": 28.022770967313022,
            "pathDistance": 0.9256251271794298,
            "pathBound": 5.1232502088447,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.8278148451499945
          },
          {
            "k": 15,
            "value": [
              21.869676378883355,
              26.21750121815784
            ],
            "q": [
              [
                21.776192559939187,
                22.906626157249946
              ],
              [
                27.25445271832564,
                22.776192559939187
              ]
            ],
            "tv": [
              22.906626157249946,
              27.25445271832564
            ],
            "delta": [
              1.0369497783665906,
              1.0369515001678025
            ],
            "residual": 1.0369515001678025,
            "minDelta": 1.0369497783665906,
            "maxDelta": 1.0369515001678025,
            "spanDelta": 1.721801211829188e-06,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 3.271422302475455e-05,
            "error": 20.73902052097255,
            "geometricBound": 21.754544720544903,
            "residualBound": 20.73903000335603,
            "lower": [
              42.60867194621515,
              46.956496785489634
            ],
            "upper": [
              42.60870638223939,
              46.95653122151387
            ],
            "policyLower": [
              42.60867194621515,
              46.956498507290846
            ],
            "optimalUpper": [
              42.60870466043818,
              46.95653122151387
            ],
            "certifiedStop": false,
            "shifted": [
              33.45195713287718,
              37.79978197215168
            ],
            "shiftDifference": [
              11.582280753993828,
              11.582280753993839
            ],
            "shiftExpected": 11.582280753993826,
            "shiftDefect": [
              1.7763568394002505e-15,
              1.2434497875801753e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.45783574066690846,
              0.4578374624681061
            ],
            "approximate": [
              23.24902024970381,
              26.10947020355274
            ],
            "approximateTV": [
              23.08656923721862,
              27.717025710912505
            ],
            "approximateDelta": [
              -0.16245101248519234,
              1.6075555073597663
            ],
            "approximateResidual": 1.6075555073597663,
            "approximateError": 20.84705153557765,
            "approximateBound": 27.121632418947367,
            "pathDistance": 1.3793438708204562,
            "pathBound": 5.3670876984024645,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.1075555073597663
          },
          {
            "k": 16,
            "value": [
              22.906626157249946,
              27.25445271832564
            ],
            "q": [
              [
                22.761294849387447,
                23.891730082409357
              ],
              [
                28.239555989200593,
                23.761294849387447
              ]
            ],
            "tv": [
              23.891730082409357,
              28.239555989200593
            ],
            "delta": [
              0.9851039251594109,
              0.9851032708749514
            ],
            "residual": 0.9851039251594109,
            "minDelta": 0.9851032708749514,
            "maxDelta": 0.9851039251594109,
            "spanDelta": 6.542844595003316e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.243140473050629e-05,
            "error": 19.702069494923926,
            "geometricBound": 20.666817484517658,
            "residualBound": 19.7020785031882,
            "lower": [
              42.60869157474896,
              46.95651813582465
            ],
            "upper": [
              42.60870466043815,
              46.95653122151384
            ],
            "policyLower": [
              42.608692229033416,
              46.95651813582465
            ],
            "optimalUpper": [
              42.60870466043815,
              46.95653056722938
            ],
            "certifiedStop": false,
            "shifted": [
              33.90979287354409,
              38.257619434619784
            ],
            "shiftDifference": [
              11.003166716294146,
              11.003166716294142
            ],
            "shiftExpected": 11.003166716294134,
            "shiftDefect": [
              1.2434497875801753e-14,
              8.881784197001252e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.43494558934470007,
              0.4349449350602512
            ],
            "approximate": [
              22.58656923721862,
              28.217025710912505
            ],
            "approximateTV": [
              24.80617442536688,
              28.6666009653632
            ],
            "approximateDelta": [
              2.219605188148261,
              0.44957525445069635
            ],
            "approximateResidual": 2.219605188148261,
            "approximateError": 20.022126414955252,
            "approximateBound": 26.265550798,
            "pathDistance": 0.962572992586864,
            "pathBound": 5.598733313482342,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.719605188148261
          },
          {
            "k": 17,
            "value": [
              23.891730082409357,
              28.239555989200593
            ],
            "q": [
              [
                23.697143578288888,
                24.82757818974056
              ],
              [
                29.175404345159894,
                24.697143578288888
              ]
            ],
            "tv": [
              24.82757818974056,
              29.175404345159894
            ],
            "delta": [
              0.9358481073312035,
              0.9358483559593012
            ],
            "residual": 0.9358483559593012,
            "minDelta": 0.9358481073312035,
            "maxDelta": 0.9358483559593012,
            "spanDelta": 2.486280976654598e-07,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 4.723933855643732e-06,
            "error": 18.716965749929795,
            "geometricBound": 19.633476610291773,
            "residualBound": 18.716967119186005,
            "lower": [
              42.60869222903341,
              46.956518135824645
            ],
            "upper": [
              42.60869720159536,
              46.9565231083866
            ],
            "policyLower": [
              42.60869222903341,
              46.95651838445274
            ],
            "optimalUpper": [
              42.608696952967264,
              46.956523108386605
            ],
            "certifiedStop": false,
            "shifted": [
              34.34473846288879,
              38.692564369680035
            ],
            "shiftDifference": [
              10.453008380479435,
              10.453008380479442
            ],
            "shiftExpected": 10.453008380479426,
            "shiftDefect": [
              8.881784197001252e-15,
              1.5987211554602254e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.41319768830724257,
              0.4131979369353189
            ],
            "approximate": [
              25.30617442536688,
              28.1666009653632
            ],
            "approximateTV": [
              25.040865704098536,
              29.67130883189644
            ],
            "approximateDelta": [
              -0.2653087212683438,
              1.5047078665332378
            ],
            "approximateResidual": 1.5047078665332378,
            "approximateError": 18.789920773767186,
            "approximateBound": 25.452273258099996,
            "pathDistance": 1.4144443429575233,
            "pathBound": 5.818796647808224,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 2.004707866533238
          },
          {
            "k": 18,
            "value": [
              24.82757818974056,
              29.175404345159894
            ],
            "q": [
              [
                24.58619928025353,
                25.716634127901898
              ],
              [
                30.064460188842553,
                25.58619928025353
              ]
            ],
            "tv": [
              25.716634127901898,
              30.064460188842553
            ],
            "delta": [
              0.8890559381613379,
              0.8890558436826588
            ],
            "residual": 0.8890559381613379,
            "minDelta": 0.8890558436826588,
            "maxDelta": 0.8890559381613379,
            "spanDelta": 9.447867910239438e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.7950949029454913e-06,
            "error": 17.78111746243331,
            "geometricBound": 18.651802779777185,
            "residualBound": 17.781118763226743,
            "lower": [
              42.608695063393725,
              46.95652121881305
            ],
            "upper": [
              42.60869695296731,
              46.956523108386634
            ],
            "policyLower": [
              42.6086951578724,
              46.95652121881305
            ],
            "optimalUpper": [
              42.60869695296731,
              46.956523013907955
            ],
            "certifiedStop": false,
            "shifted": [
              34.757936151196034,
              39.105762306615354
            ],
            "shiftDifference": [
              9.930357961455474,
              9.93035796145546
            ],
            "shiftExpected": 9.930357961455455,
            "shiftDefect": [
              1.9539925233402755e-14,
              5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.392538040088553,
              0.3925379456098881
            ],
            "approximate": [
              24.540865704098536,
              30.17130883189644
            ],
            "approximateTV": [
              26.662743390301618,
              30.523175001738412
            ],
            "approximateDelta": [
              2.1218776862030815,
              0.3518661698419727
            ],
            "approximateResidual": 2.1218776862030815,
            "approximateError": 18.067829948075335,
            "approximateBound": 24.679659595194998,
            "pathDistance": 0.9959044867365456,
            "pathBound": 6.027856815417812,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.6218776862030815
          },
          {
            "k": 19,
            "value": [
              25.716634127901898,
              30.064460188842553
            ],
            "q": [
              [
                25.4308024215068,
                26.561237179400425
              ],
              [
                30.909063276242975,
                26.4308024215068
              ]
            ],
            "tv": [
              26.561237179400425,
              30.909063276242975
            ],
            "delta": [
              0.8446030514985274,
              0.8446030874004222
            ],
            "residual": 0.8446030874004222,
            "minDelta": 0.8446030514985274,
            "maxDelta": 0.8446030874004222,
            "spanDelta": 3.590189479041328e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 6.821360010178517e-07,
            "error": 16.892061550287835,
            "geometricBound": 17.719212640788324,
            "residualBound": 16.89206174800843,
            "lower": [
              42.60869515787243,
              46.95652121881309
            ],
            "upper": [
              42.60869587591033,
              46.95652193685098
            ],
            "policyLower": [
              42.60869515787243,
              46.95652125471498
            ],
            "optimalUpper": [
              42.60869584000843,
              46.956521936850976
            ],
            "certifiedStop": false,
            "shifted": [
              35.15047419128459,
              39.49830025222524
            ],
            "shiftDifference": [
              9.43384006338269,
              9.43384006338269
            ],
            "shiftExpected": 9.433840063382682,
            "shiftDefect": [
              7.105427357601002e-15,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.37291104832939226,
              0.3729110842312835
            ],
            "approximate": [
              27.162743390301618,
              30.023175001738412
            ],
            "approximateTV": [
              26.804606220786535,
              31.435052239305506
            ],
            "approximateDelta": [
              -0.3581371695150821,
              1.4118772375670936
            ],
            "approximateResidual": 1.4118772375670936,
            "approximateError": 16.933346737391975,
            "approximateBound": 23.945676615435247,
            "pathDistance": 1.4461092623997196,
            "pathBound": 6.226463974646922,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.9118772375670936
          },
          {
            "k": 20,
            "value": [
              26.561237179400425,
              30.909063276242975
            ],
            "q": [
              [
                26.2331753204304,
                27.363610112430823
              ],
              [
                31.711436195630654,
                27.2331753204304
              ]
            ],
            "tv": [
              27.363610112430823,
              31.711436195630654
            ],
            "delta": [
              0.8023729330303979,
              0.802372919387679
            ],
            "residual": 0.8023729330303979,
            "minDelta": 0.802372919387679,
            "maxDelta": 0.8023729330303979,
            "spanDelta": 1.3642718954542943e-08,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.5921166013631565e-07,
            "error": 16.047458472773446,
            "geometricBound": 16.833252008748907,
            "residualBound": 16.047458660607944,
            "lower": [
              42.60869556715399,
              46.95652166399654
            ],
            "upper": [
              42.608695840008366,
              46.95652193685092
            ],
            "policyLower": [
              42.608695580796706,
              46.95652166399654
            ],
            "optimalUpper": [
              42.608695840008366,
              46.9565219232082
            ],
            "certifiedStop": false,
            "shifted": [
              35.52338523961398,
              39.871211336456525
            ],
            "shiftDifference": [
              8.962148060213554,
              8.96214806021355
            ],
            "shiftExpected": 8.962148060213547,
            "shiftDefect": [
              7.105427357601002e-15,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.35426553001971683,
              0.354265516377005
            ],
            "approximate": [
              26.304606220786535,
              31.935052239305506
            ],
            "approximateTV": [
              28.33829962734023,
              32.19873014030302
            ],
            "approximateDelta": [
              2.033693406553695,
              0.2636779009975143
            ],
            "approximateResidual": 2.033693406553695,
            "approximateError": 16.304089431387336,
            "approximateBound": 23.248392784663483,
            "pathDistance": 1.025988963062531,
            "pathBound": 6.415140775914575,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.533693406553695
          },
          {
            "k": 21,
            "value": [
              27.363610112430823,
              31.711436195630654
            ],
            "q": [
              [
                26.99542960680928,
                28.12586438584912
              ],
              [
                32.47369047423318,
                27.99542960680928
              ]
            ],
            "tv": [
              28.12586438584912,
              32.47369047423318
            ],
            "delta": [
              0.7622542734182964,
              0.7622542786025264
            ],
            "residual": 0.7622542786025264,
            "minDelta": 0.7622542734182964,
            "maxDelta": 0.7622542786025264,
            "spanDelta": 5.184229934229734e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 9.850036875036485e-08,
            "error": 15.245085543499734,
            "geometricBound": 15.991589408311462,
            "residualBound": 15.245085572050513,
            "lower": [
              42.608695580796734,
              46.95652166399657
            ],
            "upper": [
              42.60869568448133,
              46.95652176768117
            ],
            "policyLower": [
              42.60869558079674,
              46.9565216691808
            ],
            "optimalUpper": [
              42.60869567929711,
              46.95652176768117
            ],
            "certifiedStop": false,
            "shifted": [
              35.877650769633696,
              40.22547685283353
            ],
            "shiftDifference": [
              8.514040657202873,
              8.514040657202877
            ],
            "shiftExpected": 8.51404065720287,
            "shiftDefect": [
              3.552713678800501e-15,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3365522405581558,
              0.3365522457423893
            ],
            "approximate": [
              28.83829962734023,
              31.69873014030302
            ],
            "approximateTV": [
              28.396384645973217,
              33.02683003836201
            ],
            "approximateDelta": [
              -0.4419149813670131,
              1.328099898058987
            ],
            "approximateResidual": 1.328099898058987,
            "approximateError": 15.257791598827367,
            "approximateBound": 22.58597314543031,
            "pathDistance": 1.4746895149094073,
            "pathBound": 6.594383737118846,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.828099898058987
          },
          {
            "k": 22,
            "value": [
              28.12586438584912,
              32.47369047423318
            ],
            "q": [
              [
                27.719571166556662,
                28.85000595052152
              ],
              [
                33.19783203693558,
                28.719571166556662
              ]
            ],
            "tv": [
              28.85000595052152,
              33.19783203693558
            ],
            "delta": [
              0.7241415646724008,
              0.7241415627023997
            ],
            "residual": 0.7241415646724008,
            "minDelta": 0.7241415627023997,
            "maxDelta": 0.7241415646724008,
            "spanDelta": 1.9700010511769506e-09,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 3.743001997236202e-08,
            "error": 14.482831266324752,
            "geometricBound": 15.192009937895886,
            "residualBound": 14.482831293448003,
            "lower": [
              42.6086956398971,
              46.95652172828116
            ],
            "upper": [
              42.60869567929712,
              46.95652176768118
            ],
            "policyLower": [
              42.6086956418671,
              46.95652172828116
            ],
            "optimalUpper": [
              42.60869567929712,
              46.95652176571118
            ],
            "certifiedStop": false,
            "shifted": [
              36.21420301019185,
              40.56202909857592
            ],
            "shiftDifference": [
              8.088338624342732,
              8.08833862434274
            ],
            "shiftExpected": 8.088338624342725,
            "shiftDefect": [
              7.105427357601002e-15,
              1.4210854715202004e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.319724633455273,
              0.31972463148525065
            ],
            "approximate": [
              27.896384645973217,
              33.52683003836201
            ],
            "approximateTV": [
              29.850488536443905,
              33.71091928733617
            ],
            "approximateDelta": [
              1.9541038904706873,
              0.18408924897416057
            ],
            "approximateResidual": 1.9541038904706873,
            "approximateError": 14.712311006200654,
            "approximateBound": 21.95667448815879,
            "pathDistance": 1.053139564128827,
            "pathBound": 6.7646645502629035,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.4541038904706873
          },
          {
            "k": 23,
            "value": [
              28.85000595052152,
              33.19783203693558
            ],
            "q": [
              [
                28.407505652995443,
                29.5379404350888
              ],
              [
                33.88576652225146,
                29.407505652995443
              ]
            ],
            "tv": [
              29.5379404350888,
              33.88576652225146
            ],
            "delta": [
              0.687934484567279,
              0.6879344853158784
            ],
            "residual": 0.6879344853158784,
            "minDelta": 0.687934484567279,
            "maxDelta": 0.6879344853158784,
            "spanDelta": 7.485994046874112e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.4223388689060799e-08,
            "error": 13.758689702194808,
            "geometricBound": 14.432409441001093,
            "residualBound": 13.758689706317556,
            "lower": [
              42.60869564186709,
              46.956521728281146
            ],
            "upper": [
              42.608695656839075,
              46.956521743253134
            ],
            "policyLower": [
              42.60869564186709,
              46.956521729029745
            ],
            "optimalUpper": [
              42.608695656090475,
              46.956521743253134
            ],
            "certifiedStop": false,
            "shifted": [
              36.533927643647125,
              40.88175373006117
            ],
            "shiftDifference": [
              7.683921693125605,
              7.6839216931255905
            ],
            "shiftExpected": 7.68392169312559,
            "shiftDefect": [
              1.509903313490213e-14,
              8.881784197001252e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.3037383999109835,
              0.3037384006596042
            ],
            "approximate": [
              30.350488536443905,
              33.21091928733617
            ],
            "approximateTV": [
              29.83296410962171,
              34.46340963763029
            ],
            "approximateDelta": [
              -0.5175244268221952,
              1.2524903502941243
            ],
            "approximateResidual": 1.2524903502941243,
            "approximateError": 13.74560245179422,
            "approximateBound": 21.35884076375085,
            "pathDistance": 1.5004825859223843,
            "pathBound": 6.9264313227497585,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.7524903502941243
          },
          {
            "k": 24,
            "value": [
              29.5379404350888,
              33.88576652225146
            ],
            "q": [
              [
                29.061043413334357,
                30.19147819613888
              ],
              [
                34.539304283017074,
                30.061043413334357
              ]
            ],
            "tv": [
              30.19147819613888,
              34.539304283017074
            ],
            "delta": [
              0.6535377610500817,
              0.6535377607656159
            ],
            "residual": 0.6535377610500817,
            "minDelta": 0.6535377607656159,
            "maxDelta": 0.6535377610500817,
            "spanDelta": 2.844657842615561e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 5.404849900969561e-09,
            "error": 13.070755217085072,
            "geometricBound": 13.710788968951038,
            "residualBound": 13.07075522100162,
            "lower": [
              42.6086956504011,
              46.95652173756376
            ],
            "upper": [
              42.60869565609042,
              46.95652174325308
            ],
            "policyLower": [
              42.60869565068557,
              46.95652173756376
            ],
            "optimalUpper": [
              42.60869565609042,
              46.95652174296861
            ],
            "certifiedStop": false,
            "shifted": [
              36.83766604355811,
              41.185492130720775
            ],
            "shiftDifference": [
              7.299725608469309,
              7.299725608469316
            ],
            "shiftExpected": 7.299725608469309,
            "shiftDefect": [
              0,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.28855148062662295,
              0.28855148034214295
            ],
            "approximate": [
              29.33296410962171,
              34.96340963763029
            ],
            "approximateTV": [
              31.215239155748776,
              35.07566985510552
            ],
            "approximateDelta": [
              1.8822750461270665,
              0.11226021747522452
            ],
            "approximateResidual": 1.8822750461270665,
            "approximateError": 13.275731542552162,
            "approximateBound": 20.79089872556331,
            "pathDistance": 1.0776431153788337,
            "pathBound": 7.08010975661227,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.3822750461270665
          },
          {
            "k": 25,
            "value": [
              30.19147819613888,
              34.539304283017074
            ],
            "q": [
              [
                29.681904286331935,
                30.812339068866216
              ],
              [
                35.16016515585251,
                30.681904286331935
              ]
            ],
            "tv": [
              30.812339068866216,
              35.16016515585251
            ],
            "delta": [
              0.6208608727273344,
              0.6208608728354363
            ],
            "residual": 0.6208608728354363,
            "minDelta": 0.6208608727273344,
            "maxDelta": 0.6208608728354363,
            "spanDelta": 1.0810197181854164e-10,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.053937464552289e-09,
            "error": 12.417217456113313,
            "geometricBound": 13.025249520503486,
            "residualBound": 12.417217456708716,
            "lower": [
              42.60869565068556,
              46.95652173756375
            ],
            "upper": [
              42.6086956528476,
              46.95652173972579
            ],
            "policyLower": [
              42.608695650685554,
              46.95652173767185
            ],
            "optimalUpper": [
              42.6086956527395,
              46.95652173972579
            ],
            "certifiedStop": false,
            "shifted": [
              37.12621752418473,
              41.47404361106292
            ],
            "shiftDifference": [
              6.9347393280458505,
              6.934739328045843
            ],
            "shiftExpected": 6.934739328045844,
            "shiftDefect": [
              6.217248937900877e-15,
              -8.881784197001252e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2741239063250376,
              0.27412390643313955
            ],
            "approximate": [
              31.715239155748776,
              34.57566985510552
            ],
            "approximateTV": [
              31.129477197961336,
              35.75992269659467
            ],
            "approximateDelta": [
              -0.5857619577874402,
              1.1842528414891547
            ],
            "approximateResidual": 1.1842528414891547,
            "approximateError": 12.380851884024871,
            "approximateBound": 20.25135378928514,
            "pathDistance": 1.5237609596098949,
            "pathBound": 7.226104268781656,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6842528414891547
          },
          {
            "k": 26,
            "value": [
              30.812339068866216,
              35.16016515585251
            ],
            "q": [
              [
                30.271722115422904,
                31.402156898059886
              ],
              [
                35.74998298500509,
                31.271722115422904
              ]
            ],
            "tv": [
              31.402156898059886,
              35.74998298500509
            ],
            "delta": [
              0.5898178291936702,
              0.5898178291525795
            ],
            "residual": 0.5898178291936702,
            "minDelta": 0.5898178291525795,
            "maxDelta": 0.5898178291936702,
            "spanDelta": 4.1090686409006594e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 7.807230417711246e-10,
            "error": 11.796356583307656,
            "geometricBound": 12.373987044478309,
            "residualBound": 11.796356583873393,
            "lower": [
              42.6086956519178,
              46.95652173890409
            ],
            "upper": [
              42.60869565273961,
              46.9565217397259
            ],
            "policyLower": [
              42.60869565195889,
              46.956521738904094
            ],
            "optimalUpper": [
              42.60869565273961,
              46.95652173968482
            ],
            "certifiedStop": false,
            "shifted": [
              37.40034143050977,
              41.74816751749606
            ],
            "shiftDifference": [
              6.588002361643554,
              6.588002361643547
            ],
            "shiftExpected": 6.588002361643551,
            "shiftDefect": [
              2.6645352591003757e-15,
              -4.440892098500626e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2604177111114865,
              0.2604177110704029
            ],
            "approximate": [
              30.629477197961336,
              36.25992269659467
            ],
            "approximateTV": [
              32.44692656176493,
              36.30735727228427
            ],
            "approximateDelta": [
              1.817449363803597,
              0.04743457568959997
            ],
            "approximateResidual": 1.817449363803597,
            "approximateError": 11.979218454212536,
            "approximateBound": 19.73878609982088,
            "pathDistance": 1.0997575407421607,
            "pathBound": 7.364799055342573,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.317449363803597
          },
          {
            "k": 27,
            "value": [
              31.402156898059886,
              35.74998298500509
            ],
            "q": [
              [
                30.83204905315689,
                31.96248383575483
              ],
              [
                36.31030992271565,
                31.83204905315689
              ]
            ],
            "tv": [
              31.96248383575483,
              36.31030992271565
            ],
            "delta": [
              0.5603269376949456,
              0.5603269377105633
            ],
            "residual": 0.5603269377105633,
            "minDelta": 0.5603269376949456,
            "maxDelta": 0.5603269377105633,
            "spanDelta": 1.5617729332007002e-11,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.967368573081328e-10,
            "error": 11.206538754125297,
            "geometricBound": 11.755287692254393,
            "residualBound": 11.206538754211255,
            "lower": [
              42.60869565195878,
              46.95652173890399
            ],
            "upper": [
              42.60869565227114,
              46.95652173921634
            ],
            "policyLower": [
              42.60869565195878,
              46.956521738919605
            ],
            "optimalUpper": [
              42.60869565225552,
              46.95652173921634
            ],
            "certifiedStop": false,
            "shifted": [
              37.660759141621256,
              42.00858522856646
            ],
            "shiftDifference": [
              6.25860224356137,
              6.25860224356137
            ],
            "shiftExpected": 6.2586022435613735,
            "shiftDefect": [
              -3.552713678800501e-15,
              -3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.24739682551687991,
              0.24739682553249764
            ],
            "approximate": [
              32.94692656176493,
              35.80735727228427
            ],
            "approximateTV": [
              32.299580233676686,
              36.93002573867271
            ],
            "approximateDelta": [
              -0.647346328088247,
              1.1226684663884399
            ],
            "approximateResidual": 1.1226684663884399,
            "approximateError": 11.149164466846116,
            "approximateBound": 19.251846794829838,
            "pathDistance": 1.544769663705047,
            "pathBound": 7.4965591025754446,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6226684663884399
          },
          {
            "k": 28,
            "value": [
              31.96248383575483,
              36.31030992271565
            ],
            "q": [
              [
                31.364359643967088,
                32.49479442657987
              ],
              [
                36.842620513534754,
                32.36435964396709
              ]
            ],
            "tv": [
              32.49479442657987,
              36.842620513534754
            ],
            "delta": [
              0.5323105908250412,
              0.532310590819101
            ],
            "residual": 0.5323105908250412,
            "minDelta": 0.532310590819101,
            "maxDelta": 0.5323105908250412,
            "spanDelta": 5.9401372709544376e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.128626081481342e-10,
            "error": 10.64621181641904,
            "geometricBound": 11.167523307641673,
            "residualBound": 10.646211816500815,
            "lower": [
              42.608695652136845,
              46.95652173909767
            ],
            "upper": [
              42.60869565225565,
              46.95652173921647
            ],
            "policyLower": [
              42.608695652142785,
              46.95652173909767
            ],
            "optimalUpper": [
              42.60869565225565,
              46.95652173921053
            ],
            "certifiedStop": false,
            "shifted": [
              37.908155967138136,
              42.25598205409896
            ],
            "shiftDifference": [
              5.945672131383304,
              5.945672131383304
            ],
            "shiftExpected": 5.945672131383304,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.23502698425587454,
              0.2350269842499344
            ],
            "approximate": [
              31.799580233676686,
              37.43002573867271
            ],
            "approximateTV": [
              33.558524451739075,
              37.418955159840586
            ],
            "approximateDelta": [
              1.758944218062389,
              -0.011070578832125477
            ],
            "approximateResidual": 1.758944218062389,
            "approximateError": 10.809115418497186,
            "approximateBound": 18.789254455088347,
            "pathDistance": 1.1197158159570577,
            "pathBound": 7.621731147446672,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.258944218062389
          },
          {
            "k": 29,
            "value": [
              32.49479442657987,
              36.842620513534754
            ],
            "q": [
              [
                31.870054705250876,
                33.00048948785801
              ],
              [
                37.34831557481516,
                32.87005470525088
              ]
            ],
            "tv": [
              33.00048948785801,
              37.34831557481516
            ],
            "delta": [
              0.5056950612781392,
              0.5056950612804059
            ],
            "residual": 0.5056950612804059,
            "minDelta": 0.5056950612781392,
            "maxDelta": 0.5056950612804059,
            "spanDelta": 2.2666313270747196e-12,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 4.3065995214419633e-11,
            "error": 10.113901225595633,
            "geometricBound": 10.609147142259589,
            "residualBound": 10.113901225608108,
            "lower": [
              42.60869565214265,
              46.95652173909753
            ],
            "upper": [
              42.60869565218798,
              46.956521739142865
            ],
            "policyLower": [
              42.60869565214265,
              46.9565217390998
            ],
            "optimalUpper": [
              42.608695652185716,
              46.956521739142865
            ],
            "certifiedStop": false,
            "shifted": [
              38.14318295139401,
              42.49100903834889
            ],
            "shiftDifference": [
              5.648388524814138,
              5.648388524814138
            ],
            "shiftExpected": 5.648388524814139,
            "shiftDefect": [
              -8.881784197001252e-16,
              -8.881784197001252e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.22327563503743875,
              0.22327563503969827
            ],
            "approximate": [
              34.058524451739075,
              36.918955159840586
            ],
            "approximateTV": [
              33.35559822915212,
              37.986043732769986
            ],
            "approximateDelta": [
              -0.702926222586953,
              1.0670885729294
            ],
            "approximateResidual": 1.0670885729294,
            "approximateError": 10.037566579289802,
            "approximateBound": 18.349791732333927,
            "pathDistance": 1.5637300251592023,
            "pathBound": 7.740644590074338,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.5670885729294
          },
          {
            "k": 30,
            "value": [
              33.00048948785801,
              37.34831557481516
            ],
            "q": [
              [
                32.35046501346511,
                33.480899796074404
              ],
              [
                37.828725883030685,
                33.35046501346511
              ]
            ],
            "tv": [
              33.480899796074404,
              37.828725883030685
            ],
            "delta": [
              0.48041030821639197,
              0.4804103082155251
            ],
            "residual": 0.48041030821639197,
            "minDelta": 0.4804103082155251,
            "maxDelta": 0.48041030821639197,
            "spanDelta": 8.668621376273222e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.6470380614919106e-11,
            "error": 9.60820616431586,
            "geometricBound": 10.07868978514661,
            "residualBound": 9.60820616432783,
            "lower": [
              42.60869565216851,
              46.956521739125655
            ],
            "upper": [
              42.608695652185844,
              46.95652173914299
            ],
            "policyLower": [
              42.608695652169374,
              46.956521739125655
            ],
            "optimalUpper": [
              42.608695652185844,
              46.956521739142126
            ],
            "certifiedStop": false,
            "shifted": [
              38.36645858643145,
              42.71428467338859
            ],
            "shiftDifference": [
              5.365969098573437,
              5.36596909857343
            ],
            "shiftExpected": 5.365969098573432,
            "shiftDefect": [
              5.329070518200751e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.2121118532877091,
              0.21211185328685644
            ],
            "approximate": [
              32.85559822915212,
              38.486043732769986
            ],
            "approximateTV": [
              34.561741546131486,
              38.422172254756696
            ],
            "approximateDelta": [
              1.7061433169793645,
              -0.06387147801329007
            ],
            "approximateResidual": 1.7061433169793645,
            "approximateError": 9.75309742302175,
            "approximateBound": 17.93230214571723,
            "pathDistance": 1.1377281579548253,
            "pathBound": 7.8536123605706205,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.2061433169793645
          },
          {
            "k": 31,
            "value": [
              33.480899796074404,
              37.828725883030685
            ],
            "q": [
              [
                32.80685480627068,
                33.937289588879146
              ],
              [
                38.28511567583576,
                33.80685480627068
              ]
            ],
            "tv": [
              33.937289588879146,
              38.28511567583576
            ],
            "delta": [
              0.45638979280474246,
              0.4563897928050764
            ],
            "residual": 0.4563897928050764,
            "minDelta": 0.45638979280474246,
            "maxDelta": 0.4563897928050764,
            "spanDelta": 3.339550858072471e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 6.345146630337689e-12,
            "error": 9.127795856099702,
            "geometricBound": 9.574755295889279,
            "residualBound": 9.12779585610152,
            "lower": [
              42.608695652169246,
              46.95652173912553
            ],
            "upper": [
              42.608695652175925,
              46.95652173913221
            ],
            "policyLower": [
              42.608695652169246,
              46.95652173912586
            ],
            "optimalUpper": [
              42.60869565217559,
              46.95652173913221
            ],
            "certifiedStop": false,
            "shifted": [
              38.57857043971916,
              42.92639652667545
            ],
            "shiftDifference": [
              5.097670643644754,
              5.097670643644761
            ],
            "shiftExpected": 5.09767064364476,
            "shiftDefect": [
              -5.329070518200751e-15,
              1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.20150626062251575,
              0.2015062606228355
            ],
            "approximate": [
              35.061741546131486,
              37.922172254756696
            ],
            "approximateTV": [
              34.30865446882491,
              38.93909997274128
            ],
            "approximateDelta": [
              -0.7530870773065743,
              1.0169277179845864
            ],
            "approximateResidual": 1.0169277179845864,
            "approximateError": 9.034349484373692,
            "approximateBound": 17.53568703843137,
            "pathDistance": 1.5808417500570826,
            "pathBound": 7.96093174254209,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.5169277179845864
          },
          {
            "k": 32,
            "value": [
              33.937289588879146,
              38.28511567583576
            ],
            "q": [
              [
                33.240425109435186,
                34.370859892043974
              ],
              [
                38.71868597900046,
                34.240425109435186
              ]
            ],
            "tv": [
              34.370859892043974,
              38.71868597900046
            ],
            "delta": [
              0.4335703031648279,
              0.4335703031647
            ],
            "residual": 0.4335703031648279,
            "minDelta": 0.4335703031647,
            "maxDelta": 0.4335703031648279,
            "spanDelta": 1.2789769243681803e-13,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.4300561562995402e-12,
            "error": 8.671406063294725,
            "geometricBound": 9.096017531094814,
            "residualBound": 8.671406063296551,
            "lower": [
              42.60869565217314,
              46.956521739129755
            ],
            "upper": [
              42.6086956521757,
              46.95652173913231
            ],
            "policyLower": [
              42.60869565217327,
              46.956521739129755
            ],
            "optimalUpper": [
              42.6086956521757,
              46.956521739132185
            ],
            "certifiedStop": false,
            "shifted": [
              38.780076700341674,
              43.12790278729828
            ],
            "shiftDifference": [
              4.842787111462528,
              4.8427871114625205
            ],
            "shiftExpected": 4.842787111462521,
            "shiftDefect": [
              6.217248937900877e-15,
              -8.881784197001252e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.19143094759169088,
              0.1914309475915701
            ],
            "approximate": [
              33.80865446882491,
              39.43909997274128
            ],
            "approximateTV": [
              35.467144974104215,
              39.32757568261599
            ],
            "approximateDelta": [
              1.6584905052793033,
              -0.11152429012528842
            ],
            "approximateResidual": 1.6584905052793033,
            "approximateError": 8.80004118334896,
            "approximateBound": 17.158902686509798,
            "pathDistance": 1.15398429690552,
            "pathBound": 8.062885155414984,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.1584905052793033
          },
          {
            "k": 33,
            "value": [
              34.370859892043974,
              38.71868597900046
            ],
            "q": [
              [
                33.65231689744177,
                34.78275168005044
              ],
              [
                39.13057776700697,
                34.65231689744177
              ]
            ],
            "tv": [
              34.78275168005044,
              39.13057776700697
            ],
            "delta": [
              0.4118917880064643,
              0.41189178800650694
            ],
            "residual": 0.41189178800650694,
            "minDelta": 0.4118917880064643,
            "maxDelta": 0.41189178800650694,
            "spanDelta": 4.263256414560601e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 8.100187187665134e-13,
            "error": 8.237835760129926,
            "geometricBound": 8.641216654540074,
            "residualBound": 8.237835760130132,
            "lower": [
              42.60869565217325,
              46.95652173912974
            ],
            "upper": [
              42.608695652174106,
              46.956521739130594
            ],
            "policyLower": [
              42.60869565217325,
              46.956521739129784
            ],
            "optimalUpper": [
              42.60869565217406,
              46.956521739130594
            ],
            "certifiedStop": false,
            "shifted": [
              38.971507647933365,
              43.31933373488985
            ],
            "shiftDifference": [
              4.600647755889391,
              4.600647755889391
            ],
            "shiftExpected": 4.600647755889396,
            "shiftDefect": [
              -5.329070518200751e-15,
              -5.329070518200751e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.18185940021199087,
              0.1818594002120406
            ],
            "approximate": [
              35.967144974104215,
              38.82757568261599
            ],
            "approximateTV": [
              35.168787725399,
              39.79923322925072
            ],
            "approximateDelta": [
              -0.7983572487052157,
              0.9716575466347237
            ],
            "approximateResidual": 0.9716575466347237,
            "approximateError": 8.128946056514394,
            "approximateBound": 16.800957552184308,
            "pathDistance": 1.5962850820602412,
            "pathBound": 8.159740897644236,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.4716575466347237
          },
          {
            "k": 34,
            "value": [
              34.78275168005044,
              39.13057776700697
            ],
            "q": [
              [
                34.04361409604792,
                35.17404887865662
              ],
              [
                39.52187496561314,
                35.04361409604792
              ]
            ],
            "tv": [
              35.17404887865662,
              39.52187496561314
            ],
            "delta": [
              0.39129719860618195,
              0.39129719860616774
            ],
            "residual": 0.39129719860618195,
            "minDelta": 0.39129719860616774,
            "maxDelta": 0.39129719860618195,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.700062395888378e-13,
            "error": 7.825943972123433,
            "geometricBound": 8.209155821813068,
            "residualBound": 7.825943972123632,
            "lower": [
              42.608695652173786,
              46.95652173913032
            ],
            "upper": [
              42.60869565217407,
              46.9565217391306
            ],
            "policyLower": [
              42.6086956521738,
              46.95652173913032
            ],
            "optimalUpper": [
              42.60869565217407,
              46.95652173913059
            ],
            "certifiedStop": false,
            "shifted": [
              39.153367048145356,
              43.50119313510189
            ],
            "shiftDifference": [
              4.370615368094917,
              4.370615368094924
            ],
            "shiftExpected": 4.370615368094925,
            "shiftDefect": [
              -7.993605777301127e-15,
              -8.881784197001252e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.17276643020144178,
              0.17276643020142046
            ],
            "approximate": [
              34.668787725399,
              40.29923322925072
            ],
            "approximateTV": [
              36.28427156778818,
              40.14470227632453
            ],
            "approximateDelta": [
              1.6154838423891817,
              -0.15453095292618713
            ],
            "approximateResidual": 1.6154838423891817,
            "approximateError": 7.939907926774872,
            "approximateBound": 16.460909674575092,
            "pathDistance": 1.1686554622437484,
            "pathBound": 8.251753852762022,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.1154838423891817
          },
          {
            "k": 35,
            "value": [
              35.17404887865662,
              39.52187496561314
            ],
            "q": [
              [
                34.41534643472379,
                35.545781217332475
              ],
              [
                39.893607304289,
                35.41534643472379
              ]
            ],
            "tv": [
              35.545781217332475,
              39.893607304289
            ],
            "delta": [
              0.3717323386758551,
              0.3717323386758622
            ],
            "residual": 0.3717323386758622,
            "minDelta": 0.3717323386758551,
            "maxDelta": 0.3717323386758622,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 7.434646773517251,
            "geometricBound": 7.798698030722416,
            "residualBound": 7.434646773517238,
            "lower": [
              42.608695652173715,
              46.95652173913023
            ],
            "upper": [
              42.60869565217386,
              46.95652173913037
            ],
            "policyLower": [
              42.608695652173715,
              46.95652173913024
            ],
            "optimalUpper": [
              42.60869565217385,
              46.95652173913037
            ],
            "certifiedStop": false,
            "shifted": [
              39.3261334783468,
              43.67395956530331
            ],
            "shiftDifference": [
              4.152084599690177,
              4.152084599690177
            ],
            "shiftExpected": 4.152084599690179,
            "shiftDefect": [
              -1.7763568394002505e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.16412810869135086,
              0.16412810869135797
            ],
            "approximate": [
              36.78427156778818,
              39.64470227632453
            ],
            "approximateTV": [
              35.94505798939877,
              40.575503493264485
            ],
            "approximateDelta": [
              -0.8392135783894119,
              0.9308012169399547
            ],
            "approximateResidual": 0.9308012169399547,
            "approximateError": 7.3118194628058575,
            "approximateBound": 16.137864190846336,
            "pathDistance": 1.610222689131561,
            "pathBound": 8.339166160123922,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.4308012169399547
          },
          {
            "k": 36,
            "value": [
              35.545781217332475,
              39.893607304289
            ],
            "q": [
              [
                34.76849215646585,
                35.89892693907455
              ],
              [
                40.246753026031065,
                35.76849215646585
              ]
            ],
            "tv": [
              35.89892693907455,
              40.246753026031065
            ],
            "delta": [
              0.3531457217420737,
              0.3531457217420666
            ],
            "residual": 0.3531457217420737,
            "minDelta": 0.3531457217420666,
            "maxDelta": 0.3531457217420737,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 7.062914434841396,
            "geometricBound": 7.408763129186294,
            "residualBound": 7.062914434841468,
            "lower": [
              42.6086956521738,
              46.956521739130324
            ],
            "upper": [
              42.60869565217394,
              46.956521739130466
            ],
            "policyLower": [
              42.60869565217381,
              46.956521739130324
            ],
            "optimalUpper": [
              42.60869565217394,
              46.95652173913046
            ],
            "certifiedStop": false,
            "shifted": [
              39.49026158703815,
              43.83808767399467
            ],
            "shiftDifference": [
              3.9444803697056727,
              3.9444803697056727
            ],
            "shiftExpected": 3.9444803697056696,
            "shiftDefect": [
              3.1086244689504383e-15,
              3.1086244689504383e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.15592170325678723,
              0.15592170325678723
            ],
            "approximate": [
              35.44505798939877,
              41.075503493264485
            ],
            "approximateTV": [
              37.021728318601255,
              40.88215902713229
            ],
            "approximateDelta": [
              1.5766703292024857,
              -0.1933444661321957
            ],
            "approximateResidual": 1.5766703292024857,
            "approximateError": 7.163637662775102,
            "approximateBound": 15.830970981304018,
            "pathDistance": 1.181896188975486,
            "pathBound": 8.422207852117724,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.0766703292024857
          },
          {
            "k": 37,
            "value": [
              35.89892693907455,
              40.246753026031065
            ],
            "q": [
              [
                35.10398059212082,
                36.23441537472951
              ],
              [
                40.58224146168604,
                36.10398059212082
              ]
            ],
            "tv": [
              36.23441537472951,
              40.58224146168604
            ],
            "delta": [
              0.335488435654959,
              0.3354884356549732
            ],
            "residual": 0.3354884356549732,
            "minDelta": 0.335488435654959,
            "maxDelta": 0.3354884356549732,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.700062395888378e-13,
            "error": 6.709768713099322,
            "geometricBound": 7.038324972726979,
            "residualBound": 6.709768713099458,
            "lower": [
              42.60869565217372,
              46.95652173913024
            ],
            "upper": [
              42.608695652174006,
              46.95652173913052
            ],
            "policyLower": [
              42.60869565217372,
              46.95652173913025
            ],
            "optimalUpper": [
              42.60869565217399,
              46.95652173913052
            ],
            "certifiedStop": false,
            "shifted": [
              39.646183290294935,
              43.99400937725146
            ],
            "shiftDifference": [
              3.7472563512203863,
              3.7472563512203934
            ],
            "shiftExpected": 3.7472563512203863,
            "shiftDefect": [
              0,
              7.105427357601002e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.14812561809394964,
              0.14812561809394964
            ],
            "approximate": [
              37.521728318601255,
              40.38215902713229
            ],
            "approximateTV": [
              36.645641902671194,
              41.276087406533875
            ],
            "approximateDelta": [
              -0.876086415930061,
              0.8939283794015864
            ],
            "approximateResidual": 0.8939283794015864,
            "approximateError": 6.5743627119980985,
            "approximateBound": 15.539422432238817,
            "pathDistance": 1.622801379526706,
            "pathBound": 8.501097459511838,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.3939283794015864
          },
          {
            "k": 38,
            "value": [
              36.23441537472951,
              40.58224146168604
            ],
            "q": [
              [
                35.42269460599303,
                36.55312938860173
              ],
              [
                40.900955475558256,
                36.42269460599303
              ]
            ],
            "tv": [
              36.55312938860173,
              40.900955475558256
            ],
            "delta": [
              0.3187140138722242,
              0.3187140138722171
            ],
            "residual": 0.3187140138722242,
            "minDelta": 0.3187140138722171,
            "maxDelta": 0.3187140138722242,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 6.374280277444363,
            "geometricBound": 6.68640872409063,
            "residualBound": 6.374280277444479,
            "lower": [
              42.60869565217384,
              46.95652173913037
            ],
            "upper": [
              42.608695652173985,
              46.956521739130515
            ],
            "policyLower": [
              42.60869565217385,
              46.95652173913037
            ],
            "optimalUpper": [
              42.608695652173985,
              46.95652173913051
            ],
            "certifiedStop": false,
            "shifted": [
              39.794308908388885,
              44.14213499534541
            ],
            "shiftDifference": [
              3.559893533659377,
              3.55989353365937
            ],
            "shiftExpected": 3.5598935336593667,
            "shiftDefect": [
              1.021405182655144e-14,
              3.1086244689504383e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.14071933718925322,
              0.14071933718924612
            ],
            "approximate": [
              36.145641902671194,
              41.776087406533875
            ],
            "approximateTV": [
              37.68728303620718,
              41.54771374473936
            ],
            "approximateDelta": [
              1.5416411335359825,
              -0.2283736617945138
            ],
            "approximateResidual": 1.5416411335359825,
            "approximateError": 6.463053749502677,
            "approximateBound": 15.262451310626876,
            "pathDistance": 1.193845944847837,
            "pathBound": 8.576042586536246,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.0416411335359825
          },
          {
            "k": 39,
            "value": [
              36.55312938860173,
              40.900955475558256
            ],
            "q": [
              [
                35.725472919171644,
                36.85590770178034
              ],
              [
                41.20373378873686,
                36.725472919171644
              ]
            ],
            "tv": [
              36.85590770178034,
              41.20373378873686
            ],
            "delta": [
              0.3027783131786066,
              0.3027783131786066
            ],
            "residual": 0.3027783131786066,
            "minDelta": 0.3027783131786066,
            "maxDelta": 0.3027783131786066,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 6.055566263572139,
            "geometricBound": 6.352088287886097,
            "residualBound": 6.055566263572127,
            "lower": [
              42.60869565217386,
              46.95652173913038
            ],
            "upper": [
              42.60869565217386,
              46.95652173913038
            ],
            "policyLower": [
              42.60869565217386,
              46.95652173913038
            ],
            "optimalUpper": [
              42.60869565217386,
              46.95652173913038
            ],
            "certifiedStop": false,
            "shifted": [
              39.93502824557814,
              44.282854332534654
            ],
            "shiftDifference": [
              3.381898856976406,
              3.381898856976399
            ],
            "shiftExpected": 3.381898856976398,
            "shiftDefect": [
              7.993605777301127e-15,
              8.881784197001252e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.13368337032978417,
              0.13368337032978417
            ],
            "approximate": [
              38.18728303620718,
              41.04771374473936
            ],
            "approximateTV": [
              37.27791888439682,
              41.90836438826016
            ],
            "approximateDelta": [
              -0.9093641518103581,
              0.860650643520799
            ],
            "approximateResidual": 0.9093641518103581,
            "approximateError": 5.908807994391026,
            "approximateBound": 14.99932874509553,
            "pathDistance": 1.6341536476054443,
            "pathBound": 8.647240457209433,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.4093641518103581
          },
          {
            "k": 40,
            "value": [
              36.85590770178034,
              41.20373378873686
            ],
            "q": [
              [
                36.01311231669132,
                37.143547099300015
              ],
              [
                41.49137318625654,
                37.01311231669132
              ]
            ],
            "tv": [
              37.143547099300015,
              41.49137318625654
            ],
            "delta": [
              0.28763939751967627,
              0.28763939751967627
            ],
            "residual": 0.28763939751967627,
            "minDelta": 0.28763939751967627,
            "maxDelta": 0.28763939751967627,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 5.752787950393532,
            "geometricBound": 6.0344838734917925,
            "residualBound": 5.75278795039352,
            "lower": [
              42.60869565217386,
              46.95652173913038
            ],
            "upper": [
              42.60869565217386,
              46.95652173913038
            ],
            "policyLower": [
              42.60869565217386,
              46.95652173913038
            ],
            "optimalUpper": [
              42.60869565217386,
              46.95652173913038
            ],
            "certifiedStop": false,
            "shifted": [
              40.06871161590792,
              44.41653770286444
            ],
            "shiftDifference": [
              3.2128039141275835,
              3.2128039141275764
            ],
            "shiftExpected": 3.212803914127578,
            "shiftDefect": [
              5.329070518200751e-15,
              -1.7763568394002505e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12699920181329105,
              0.12699920181330526
            ],
            "approximate": [
              36.77791888439682,
              42.40836438826016
            ],
            "approximateTV": [
              38.28794616884715,
              42.14837687737908
            ],
            "approximateDelta": [
              1.5100272844503309,
              -0.2599875108810821
            ],
            "approximateResidual": 1.5100272844503309,
            "approximateError": 5.830776767777053,
            "approximateBound": 14.749362307840753,
            "pathDistance": 1.2046305995232984,
            "pathBound": 8.714878434348961,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 2.010027284450331
          },
          {
            "k": 41,
            "value": [
              37.143547099300015,
              41.49137318625654
            ],
            "q": [
              [
                36.28636974433501,
                37.41680452694371
              ],
              [
                41.76463061390023,
                37.28636974433501
              ]
            ],
            "tv": [
              37.41680452694371,
              41.76463061390023
            ],
            "delta": [
              0.2732574276436921,
              0.2732574276436921
            ],
            "residual": 0.2732574276436921,
            "minDelta": 0.2732574276436921,
            "maxDelta": 0.2732574276436921,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 5.465148552873856,
            "geometricBound": 5.732759679817203,
            "residualBound": 5.4651485528738375,
            "lower": [
              42.60869565217385,
              46.95652173913037
            ],
            "upper": [
              42.60869565217385,
              46.95652173913037
            ],
            "policyLower": [
              42.60869565217385,
              46.95652173913037
            ],
            "optimalUpper": [
              42.60869565217385,
              46.95652173913037
            ],
            "certifiedStop": false,
            "shifted": [
              40.19571081772121,
              44.543536904677744
            ],
            "shiftDifference": [
              3.0521637184211983,
              3.0521637184212054
            ],
            "shiftExpected": 3.052163718421199,
            "shiftDefect": [
              -8.881784197001252e-16,
              6.217248937900877e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.12064924172263858,
              0.12064924172262437
            ],
            "approximate": [
              38.78794616884715,
              41.64837687737908
            ],
            "approximateTV": [
              37.84854886040479,
              42.47899436426799
            ],
            "approximateDelta": [
              -0.9393973084423592,
              0.8306174868889116
            ],
            "approximateResidual": 0.9393973084423592,
            "approximateError": 5.308144861751309,
            "approximateBound": 14.511894192448715,
            "pathDistance": 1.6443990695471342,
            "pathBound": 8.779134512631511,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.4393973084423592
          },
          {
            "k": 42,
            "value": [
              37.41680452694371,
              41.76463061390023
            ],
            "q": [
              [
                36.54596430059652,
                37.67639908320522
              ],
              [
                42.024225170161735,
                37.54596430059652
              ]
            ],
            "tv": [
              37.67639908320522,
              42.024225170161735
            ],
            "delta": [
              0.2595945562615114,
              0.2595945562615043
            ],
            "residual": 0.2595945562615114,
            "minDelta": 0.2595945562615043,
            "maxDelta": 0.2595945562615114,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 5.191891125230164,
            "geometricBound": 5.446121695826342,
            "residualBound": 5.191891125230224,
            "lower": [
              42.608695652173786,
              46.95652173913031
            ],
            "upper": [
              42.60869565217393,
              46.95652173913045
            ],
            "policyLower": [
              42.60869565217379,
              46.95652173913031
            ],
            "optimalUpper": [
              42.60869565217393,
              46.956521739130444
            ],
            "certifiedStop": false,
            "shifted": [
              40.31636005944385,
              44.66418614640037
            ],
            "shiftDifference": [
              2.8995555325001447,
              2.8995555325001376
            ],
            "shiftExpected": 2.899555532500139,
            "shiftDefect": [
              5.773159728050814e-15,
              -1.3322676295501878e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.11461677963649919,
              0.11461677963649919
            ],
            "approximate": [
              37.34854886040479,
              42.97899436426799
            ],
            "approximateTV": [
              38.83004464605459,
              42.690475354586574
            ],
            "approximateDelta": [
              1.4814957856497983,
              -0.28851900968141564
            ],
            "approximateResidual": 1.4814957856497983,
            "approximateError": 5.260146791769081,
            "approximateBound": 14.286299482826278,
            "pathDistance": 1.2143637503677596,
            "pathBound": 8.840177786999936,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.9814957856497983
          },
          {
            "k": 43,
            "value": [
              37.67639908320522,
              42.024225170161735
            ],
            "q": [
              [
                36.79257912904496,
                37.92301391165365
              ],
              [
                42.27083999861017,
                37.79257912904496
              ]
            ],
            "tv": [
              37.92301391165365,
              42.27083999861017
            ],
            "delta": [
              0.24661482844842908,
              0.24661482844843619
            ],
            "residual": 0.24661482844843619,
            "minDelta": 0.24661482844842908,
            "maxDelta": 0.24661482844843619,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 4.932296568968653,
            "geometricBound": 5.1738156110350255,
            "residualBound": 4.932296568968719,
            "lower": [
              42.60869565217379,
              46.95652173913031
            ],
            "upper": [
              42.608695652173935,
              46.95652173913045
            ],
            "policyLower": [
              42.60869565217379,
              46.95652173913032
            ],
            "optimalUpper": [
              42.60869565217393,
              46.95652173913045
            ],
            "certifiedStop": false,
            "shifted": [
              40.43097683908035,
              44.77880292603687
            ],
            "shiftDifference": [
              2.7545777558751325,
              2.7545777558751325
            ],
            "shiftExpected": 2.754577755875132,
            "shiftDefect": [
              4.440892098500626e-16,
              4.440892098500626e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10888594065467316,
              0.10888594065468027
            ],
            "approximate": [
              39.33004464605459,
              42.190475354586574
            ],
            "approximateTV": [
              38.36354241375186,
              42.993987917615094
            ],
            "approximateDelta": [
              -0.9665022323027301,
              0.8035125630285194
            ],
            "approximateResidual": 0.9665022323027301,
            "approximateError": 4.766046384543813,
            "approximateBound": 14.071984508684967,
            "pathDistance": 1.6536455628493698,
            "pathBound": 8.89816889764994,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.4665022323027301
          },
          {
            "k": 44,
            "value": [
              37.92301391165365,
              42.27083999861017
            ],
            "q": [
              [
                37.026863216070964,
                38.15729799867966
              ],
              [
                42.50512408563618,
                38.026863216070964
              ]
            ],
            "tv": [
              38.15729799867966,
              42.50512408563618
            ],
            "delta": [
              0.2342840870260119,
              0.2342840870260119
            ],
            "residual": 0.2342840870260119,
            "minDelta": 0.2342840870260119,
            "maxDelta": 0.2342840870260119,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 4.685681740520224,
            "geometricBound": 4.915124830483274,
            "residualBound": 4.685681740520233,
            "lower": [
              42.60869565217388,
              46.9565217391304
            ],
            "upper": [
              42.60869565217388,
              46.9565217391304
            ],
            "policyLower": [
              42.60869565217388,
              46.9565217391304
            ],
            "optimalUpper": [
              42.60869565217388,
              46.9565217391304
            ],
            "certifiedStop": false,
            "shifted": [
              40.539862779735024,
              44.88768886669155
            ],
            "shiftDifference": [
              2.6168488680813766,
              2.6168488680813766
            ],
            "shiftExpected": 2.6168488680813753,
            "shiftDefect": [
              1.3322676295501878e-15,
              1.3322676295501878e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.10344164362194164,
              0.10344164362194164
            ],
            "approximate": [
              37.86354241375186,
              43.493987917615094
            ],
            "approximateTV": [
              39.319288521734336,
              43.1797192302663
            ],
            "approximateDelta": [
              1.4557461079824776,
              -0.3142686873487932
            ],
            "approximateResidual": 1.4557461079824776,
            "approximateError": 4.745153238422013,
            "approximateBound": 13.868385283250715,
            "pathDistance": 1.2231479190049228,
            "pathBound": 8.953260452767442,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.9557461079824776
          },
          {
            "k": 45,
            "value": [
              38.15729799867966,
              42.50512408563618
            ],
            "q": [
              [
                37.249433098745676,
                38.37986788135437
              ],
              [
                42.727693968310895,
                38.249433098745676
              ]
            ],
            "tv": [
              38.37986788135437,
              42.727693968310895
            ],
            "delta": [
              0.222569882674712,
              0.222569882674712
            ],
            "residual": 0.222569882674712,
            "minDelta": 0.222569882674712,
            "maxDelta": 0.222569882674712,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 4.451397653494212,
            "geometricBound": 4.6693685889591094,
            "residualBound": 4.4513976534942366,
            "lower": [
              42.60869565217389,
              46.95652173913042
            ],
            "upper": [
              42.60869565217389,
              46.95652173913042
            ],
            "policyLower": [
              42.60869565217389,
              46.956521739130416
            ],
            "optimalUpper": [
              42.60869565217389,
              46.956521739130416
            ],
            "certifiedStop": false,
            "shifted": [
              40.643304423356966,
              44.99113051031349
            ],
            "shiftDifference": [
              2.4860064246773064,
              2.4860064246773064
            ],
            "shiftExpected": 2.4860064246773064,
            "shiftDefect": [
              0,
              0
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.0982695614408442,
              0.0982695614408442
            ],
            "approximate": [
              39.819288521734336,
              42.6797192302663
            ],
            "approximateTV": [
              38.828324095647616,
              43.45876959951084
            ],
            "approximateDelta": [
              -0.9909644260867196,
              0.779050369244537
            ],
            "approximateResidual": 0.9909644260867196,
            "approximateError": 4.276802508864087,
            "approximateBound": 13.67496601908818,
            "pathDistance": 1.6619905230546763,
            "pathBound": 9.00559743012907,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.4909644260867196
          },
          {
            "k": 46,
            "value": [
              38.37986788135437,
              42.727693968310895
            ],
            "q": [
              [
                37.46087448728665,
                38.59130926989535
              ],
              [
                42.93913535685187,
                38.46087448728665
              ]
            ],
            "tv": [
              38.59130926989535,
              42.93913535685187
            ],
            "delta": [
              0.21144138854097605,
              0.21144138854097605
            ],
            "residual": 0.21144138854097605,
            "minDelta": 0.21144138854097605,
            "maxDelta": 0.21144138854097605,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 4.2288277708195,
            "geometricBound": 4.435900159511154,
            "residualBound": 4.228827770819517,
            "lower": [
              42.60869565217389,
              46.95652173913041
            ],
            "upper": [
              42.60869565217389,
              46.95652173913041
            ],
            "policyLower": [
              42.60869565217389,
              46.95652173913041
            ],
            "optimalUpper": [
              42.60869565217389,
              46.95652173913041
            ],
            "certifiedStop": false,
            "shifted": [
              40.74157398479781,
              45.08940007175433
            ],
            "shiftDifference": [
              2.3617061034434386,
              2.3617061034434386
            ],
            "shiftExpected": 2.361706103443441,
            "shiftDefect": [
              -2.220446049250313e-15,
              -2.220446049250313e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.09335608336880341,
              0.09335608336880341
            ],
            "approximate": [
              38.328324095647616,
              43.95876959951084
            ],
            "approximateTV": [
              39.7608311195353,
              43.62126182806727
            ],
            "approximateDelta": [
              1.4325070238876805,
              -0.337507771443569
            ],
            "approximateResidual": 1.4325070238876805,
            "approximateError": 4.280371556526255,
            "approximateBound": 13.491217718133768,
            "pathDistance": 1.2310756311999427,
            "pathBound": 9.055317558622615,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.9325070238876805
          },
          {
            "k": 47,
            "value": [
              38.59130926989535,
              42.93913535685187
            ],
            "q": [
              [
                37.66174380640058,
                38.792178589009275
              ],
              [
                43.1400046759658,
                38.66174380640058
              ]
            ],
            "tv": [
              38.792178589009275,
              43.1400046759658
            ],
            "delta": [
              0.20086931911392725,
              0.20086931911392725
            ],
            "residual": 0.20086931911392725,
            "minDelta": 0.20086931911392725,
            "maxDelta": 0.20086931911392725,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 4.017386382278524,
            "geometricBound": 4.2141051515355965,
            "residualBound": 4.017386382278541,
            "lower": [
              42.60869565217389,
              46.95652173913041
            ],
            "upper": [
              42.60869565217389,
              46.95652173913041
            ],
            "policyLower": [
              42.608695652173886,
              46.95652173913041
            ],
            "optimalUpper": [
              42.608695652173886,
              46.95652173913041
            ],
            "certifiedStop": false,
            "shifted": [
              40.834930068166614,
              45.18275615512314
            ],
            "shiftDifference": [
              2.243620798271266,
              2.243620798271266
            ],
            "shiftExpected": 2.243620798271269,
            "shiftDefect": [
              -3.1086244689504383e-15,
              -3.1086244689504383e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.08868827920036182,
              0.08868827920036182
            ],
            "approximate": [
              40.2608311195353,
              43.12126182806727
            ],
            "approximateTV": [
              39.24778956355853,
              43.87823506742175
            ],
            "approximateDelta": [
              -1.0130415559767698,
              0.7569732393544797
            ],
            "approximateResidual": 1.0130415559767698,
            "approximateError": 3.835259911063119,
            "approximateBound": 13.316656832227082,
            "pathDistance": 1.669521849639949,
            "pathBound": 9.102551680691485,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.5130415559767698
          },
          {
            "k": 48,
            "value": [
              38.792178589009275,
              43.1400046759658
            ],
            "q": [
              [
                37.85256965955881,
                38.983004442167505
              ],
              [
                43.33083052912403,
                38.85256965955881
              ]
            ],
            "tv": [
              38.983004442167505,
              43.33083052912403
            ],
            "delta": [
              0.19082585315823053,
              0.19082585315823053
            ],
            "residual": 0.19082585315823053,
            "minDelta": 0.19082585315823053,
            "maxDelta": 0.19082585315823053,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 3.8165170631645964,
            "geometricBound": 4.003399893958816,
            "residualBound": 3.816517063164607,
            "lower": [
              42.60869565217388,
              46.95652173913041
            ],
            "upper": [
              42.60869565217388,
              46.95652173913041
            ],
            "policyLower": [
              42.60869565217388,
              46.95652173913041
            ],
            "optimalUpper": [
              42.60869565217388,
              46.95652173913041
            ],
            "certifiedStop": false,
            "shifted": [
              40.923618347366975,
              45.2714444343235
            ],
            "shiftDifference": [
              2.1314397583577005,
              2.1314397583577005
            ],
            "shiftExpected": 2.131439758357705,
            "shiftDefect": [
              -4.440892098500626e-15,
              -4.440892098500626e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.08425386524034906,
              0.08425386524034195
            ],
            "approximate": [
              38.74778956355853,
              44.37823506742175
            ],
            "approximateTV": [
              40.15932331405066,
              44.01975402258263
            ],
            "approximateDelta": [
              1.4115337504921328,
              -0.3584810448391167
            ],
            "approximateResidual": 1.4115337504921328,
            "approximateError": 3.8609060886153443,
            "approximateBound": 13.150823990615725,
            "pathDistance": 1.23823039145595,
            "pathBound": 9.14742409665691,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.9115337504921328
          },
          {
            "k": 49,
            "value": [
              38.983004442167505,
              43.33083052912403
            ],
            "q": [
              [
                38.033854220059126,
                39.16428900266783
              ],
              [
                43.512115089624345,
                39.033854220059126
              ]
            ],
            "tv": [
              39.16428900266783,
              43.512115089624345
            ],
            "delta": [
              0.18128456050032327,
              0.18128456050031616
            ],
            "residual": 0.18128456050032327,
            "minDelta": 0.18128456050031616,
            "maxDelta": 0.18128456050032327,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 3.625691210006366,
            "geometricBound": 3.8032298992608755,
            "residualBound": 3.625691210006462,
            "lower": [
              42.60869565217383,
              46.95652173913035
            ],
            "upper": [
              42.60869565217397,
              46.956521739130494
            ],
            "policyLower": [
              42.608695652173836,
              46.95652173913035
            ],
            "optimalUpper": [
              42.60869565217397,
              46.95652173913049
            ],
            "certifiedStop": false,
            "shifted": [
              41.007872212607325,
              45.35569829956384
            ],
            "shiftDifference": [
              2.024867770439819,
              2.024867770439812
            ],
            "shiftExpected": 2.02486777043982,
            "shiftDefect": [
              -8.881784197001252e-16,
              -7.993605777301127e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.08004117197832272,
              0.08004117197832983
            ],
            "approximate": [
              40.65932331405066,
              43.51975402258263
            ],
            "approximateTV": [
              39.62635714834813,
              44.25680265221135
            ],
            "approximateDelta": [
              -1.0329661657025326,
              0.7370486296287169
            ],
            "approximateResidual": 1.0329661657025326,
            "approximateError": 3.436767716547756,
            "approximateBound": 12.993282791084939,
            "pathDistance": 1.6763188718831543,
            "pathBound": 9.190052891824063,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.5329661657025326
          },
          {
            "k": 50,
            "value": [
              39.16428900266783,
              43.512115089624345
            ],
            "q": [
              [
                38.20607455253444,
                39.33650933514313
              ],
              [
                43.68433542209965,
                39.20607455253444
              ]
            ],
            "tv": [
              39.33650933514313,
              43.68433542209965
            ],
            "delta": [
              0.17222033247529822,
              0.17222033247530533
            ],
            "residual": 0.17222033247530533,
            "minDelta": 0.17222033247529822,
            "maxDelta": 0.17222033247530533,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 3.4444066495060426,
            "geometricBound": 3.6130684042978314,
            "residualBound": 3.4444066495061034,
            "lower": [
              42.60869565217379,
              46.95652173913031
            ],
            "upper": [
              42.608695652173935,
              46.95652173913045
            ],
            "policyLower": [
              42.60869565217379,
              46.95652173913032
            ],
            "optimalUpper": [
              42.60869565217393,
              46.95652173913045
            ],
            "certifiedStop": false,
            "shifted": [
              41.08791338458565,
              45.43573947154217
            ],
            "shiftDifference": [
              1.9236243819178185,
              1.9236243819178256
            ],
            "shiftExpected": 1.9236243819178287,
            "shiftDefect": [
              -1.021405182655144e-14,
              -3.1086244689504383e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.07603911337941582,
              0.07603911337940872
            ],
            "approximate": [
              39.12635714834813,
              44.75680265221135
            ],
            "approximateTV": [
              40.51896251960078,
              44.379393228132756
            ],
            "approximateDelta": [
              1.3926053712526496,
              -0.3774094240785928
            ],
            "approximateResidual": 1.3926053712526496,
            "approximateError": 3.482338503825744,
            "approximateBound": 12.843618651530692,
            "pathDistance": 1.2446875625870035,
            "pathBound": 9.23055024723286,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.8926053712526496
          },
          {
            "k": 51,
            "value": [
              39.33650933514313,
              43.68433542209965
            ],
            "q": [
              [
                38.36968386838597,
                39.500118650994665
              ],
              [
                43.84794473795119,
                39.36968386838597
              ]
            ],
            "tv": [
              39.500118650994665,
              43.84794473795119
            ],
            "delta": [
              0.16360931585153793,
              0.16360931585153793
            ],
            "residual": 0.16360931585153793,
            "minDelta": 0.16360931585153793,
            "maxDelta": 0.16360931585153793,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 3.2721863170307444,
            "geometricBound": 3.4324149840829397,
            "residualBound": 3.2721863170307555,
            "lower": [
              42.608695652173886,
              46.95652173913041
            ],
            "upper": [
              42.608695652173886,
              46.95652173913041
            ],
            "policyLower": [
              42.608695652173886,
              46.95652173913041
            ],
            "optimalUpper": [
              42.608695652173886,
              46.95652173913041
            ],
            "certifiedStop": false,
            "shifted": [
              41.16395249796506,
              45.51177858492158
            ],
            "shiftDifference": [
              1.827443162821936,
              1.827443162821929
            ],
            "shiftExpected": 1.8274431628219374,
            "shiftDefect": [
              -1.3322676295501878e-15,
              -8.43769498715119e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.0722371577104326,
              0.07223715771044681
            ],
            "approximate": [
              41.01896251960078,
              43.879393228132756
            ],
            "approximateTV": [
              39.968014393620734,
              44.59845989748396
            ],
            "approximateDelta": [
              -1.0509481259800424,
              0.7190666693512071
            ],
            "approximateResidual": 1.0509481259800424,
            "approximateError": 3.077128510997632,
            "approximateBound": 12.701437718954155,
            "pathDistance": 1.6824531844576498,
            "pathBound": 9.269022734871216,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.5509481259800424
          },
          {
            "k": 52,
            "value": [
              39.500118650994665,
              43.84794473795119
            ],
            "q": [
              [
                38.52511271844493,
                39.655547501053626
              ],
              [
                44.00337358801015,
                39.52511271844493
              ]
            ],
            "tv": [
              39.655547501053626,
              44.00337358801015
            ],
            "delta": [
              0.15542885005896068,
              0.15542885005896068
            ],
            "residual": 0.15542885005896068,
            "minDelta": 0.15542885005896068,
            "maxDelta": 0.15542885005896068,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 3.1085770011792064,
            "geometricBound": 3.260794234878792,
            "residualBound": 3.108577001179211,
            "lower": [
              42.60869565217388,
              46.9565217391304
            ],
            "upper": [
              42.60869565217388,
              46.9565217391304
            ],
            "policyLower": [
              42.60869565217388,
              46.9565217391304
            ],
            "optimalUpper": [
              42.60869565217388,
              46.9565217391304
            ],
            "certifiedStop": false,
            "shifted": [
              41.236189655675496,
              45.584015742632026
            ],
            "shiftDifference": [
              1.7360710046808308,
              1.7360710046808379
            ],
            "shiftExpected": 1.7360710046808403,
            "shiftDefect": [
              -9.547918011776346e-15,
              -2.4424906541753444e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.06862529982493015,
              0.06862529982490884
            ],
            "approximate": [
              39.468014393620734,
              45.09845989748396
            ],
            "approximateTV": [
              40.84353690260976,
              44.703967611141735
            ],
            "approximateDelta": [
              1.3755225089890288,
              -0.39449228634222777
            ],
            "approximateResidual": 1.3755225089890288,
            "approximateError": 3.140681258553137,
            "approximateBound": 12.566365833006449,
            "pathDistance": 1.2505151595327746,
            "pathBound": 9.305571598127656,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.8755225089890288
          },
          {
            "k": 53,
            "value": [
              39.655547501053626,
              44.00337358801015
            ],
            "q": [
              [
                38.67277012600094,
                39.80320490860964
              ],
              [
                44.15103099556616,
                39.67277012600094
              ]
            ],
            "tv": [
              39.80320490860964,
              44.15103099556616
            ],
            "delta": [
              0.14765740755601087,
              0.14765740755601087
            ],
            "residual": 0.14765740755601087,
            "minDelta": 0.14765740755601087,
            "maxDelta": 0.14765740755601087,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 2.9531481511202458,
            "geometricBound": 3.097754523134853,
            "residualBound": 2.9531481511202147,
            "lower": [
              42.60869565217384,
              46.956521739130366
            ],
            "upper": [
              42.60869565217384,
              46.956521739130366
            ],
            "policyLower": [
              42.60869565217384,
              46.956521739130366
            ],
            "optimalUpper": [
              42.60869565217384,
              46.956521739130366
            ],
            "certifiedStop": false,
            "shifted": [
              41.304814955500426,
              45.652641042456935
            ],
            "shiftDifference": [
              1.6492674544468002,
              1.649267454446786
            ],
            "shiftExpected": 1.6492674544467985,
            "shiftDefect": [
              1.7763568394002505e-15,
              -1.2434497875801753e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.06519403483365949,
              0.0651940348336737
            ],
            "approximate": [
              41.34353690260976,
              44.203967611141735
            ],
            "approximateTV": [
              40.27636005747927,
              44.9068055613425
            ],
            "approximateDelta": [
              -1.06717684513049,
              0.7028379502007667
            ],
            "approximateResidual": 1.06717684513049,
            "approximateError": 2.7525541279886525,
            "approximateBound": 12.438047541356125,
            "pathDistance": 1.6879894015561376,
            "pathBound": 9.340293018221272,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.56717684513049
          },
          {
            "k": 54,
            "value": [
              39.80320490860964,
              44.15103099556616
            ],
            "q": [
              [
                38.813044663179156,
                39.94347944578785
              ],
              [
                44.291305532744374,
                39.813044663179156
              ]
            ],
            "tv": [
              39.94347944578785,
              44.291305532744374
            ],
            "delta": [
              0.1402745371782146,
              0.1402745371782146
            ],
            "residual": 0.1402745371782146,
            "minDelta": 0.1402745371782146,
            "maxDelta": 0.1402745371782146,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 2.805490743564235,
            "geometricBound": 2.9428667969781097,
            "residualBound": 2.805490743564289,
            "lower": [
              42.60869565217393,
              46.95652173913045
            ],
            "upper": [
              42.60869565217393,
              46.95652173913045
            ],
            "policyLower": [
              42.60869565217393,
              46.95652173913045
            ],
            "optimalUpper": [
              42.60869565217393,
              46.95652173913045
            ],
            "certifiedStop": false,
            "shifted": [
              41.370008990334085,
              45.71783507729061
            ],
            "shiftDifference": [
              1.5668040817244488,
              1.5668040817244488
            ],
            "shiftExpected": 1.5668040817244582,
            "shiftDefect": [
              -9.325873406851315e-15,
              -9.325873406851315e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.06193433309199037,
              0.06193433309199037
            ],
            "approximate": [
              39.77636005747927,
              45.4068055613425
            ],
            "approximateTV": [
              41.13646528327538,
              44.99689599180735
            ],
            "approximateDelta": [
              1.3601052257961044,
              -0.40990956953515223
            ],
            "approximateResidual": 1.3601052257961044,
            "approximateError": 2.832335594694598,
            "approximateBound": 12.316145164288319,
            "pathDistance": 1.255774565776342,
            "pathBound": 9.373278367310208,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.8601052257961044
          },
          {
            "k": 55,
            "value": [
              39.94347944578785,
              44.291305532744374
            ],
            "q": [
              [
                38.946305473498455,
                40.07674025610715
              ],
              [
                44.424566343063674,
                39.946305473498455
              ]
            ],
            "tv": [
              40.07674025610715,
              44.424566343063674
            ],
            "delta": [
              0.1332608103192996,
              0.1332608103192996
            ],
            "residual": 0.1332608103192996,
            "minDelta": 0.1332608103192996,
            "maxDelta": 0.1332608103192996,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 2.6652162063860203,
            "geometricBound": 2.7957234571292044,
            "residualBound": 2.6652162063859897,
            "lower": [
              42.60869565217384,
              46.956521739130366
            ],
            "upper": [
              42.60869565217384,
              46.956521739130366
            ],
            "policyLower": [
              42.60869565217384,
              46.956521739130366
            ],
            "optimalUpper": [
              42.60869565217384,
              46.956521739130366
            ],
            "certifiedStop": false,
            "shifted": [
              41.431943323426076,
              45.7797694103826
            ],
            "shiftDifference": [
              1.4884638776382246,
              1.4884638776382246
            ],
            "shiftExpected": 1.4884638776382353,
            "shiftDefect": [
              -1.0658141036401503e-14,
              -1.0658141036401503e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.05883761643739405,
              0.05883761643738694
            ],
            "approximate": [
              41.63646528327538,
              44.49689599180735
            ],
            "approximateTV": [
              40.554642019111604,
              45.18508752297483
            ],
            "approximateDelta": [
              -1.0818232641637735,
              0.6881915311674831
            ],
            "approximateResidual": 1.0818232641637735,
            "approximateError": 2.459625747323038,
            "approximateBound": 12.200337906073901,
            "pathDistance": 1.6929858374875266,
            "pathBound": 9.404614448944697,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.5818232641637735
          },
          {
            "k": 56,
            "value": [
              40.07674025610715,
              44.424566343063674
            ],
            "q": [
              [
                39.07290324330179,
                40.20333802591049
              ],
              [
                44.551164112867006,
                40.07290324330179
              ]
            ],
            "tv": [
              40.20333802591049,
              44.551164112867006
            ],
            "delta": [
              0.1265977698033396,
              0.12659776980333248
            ],
            "residual": 0.1265977698033396,
            "minDelta": 0.12659776980333248,
            "maxDelta": 0.1265977698033396,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 2.5319553960667207,
            "geometricBound": 2.655937284272744,
            "residualBound": 2.5319553960667895,
            "lower": [
              42.6086956521738,
              46.956521739130324
            ],
            "upper": [
              42.60869565217394,
              46.956521739130466
            ],
            "policyLower": [
              42.60869565217381,
              46.956521739130324
            ],
            "optimalUpper": [
              42.60869565217394,
              46.95652173913046
            ],
            "certifiedStop": false,
            "shifted": [
              41.49078093986347,
              45.838607026819986
            ],
            "shiftDifference": [
              1.414040683756319,
              1.414040683756312
            ],
            "shiftExpected": 1.4140406837563233,
            "shiftDefect": [
              -4.218847493575595e-15,
              -1.1324274851176597e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.05589573561551475,
              0.05589573561552186
            ],
            "approximate": [
              40.054642019111604,
              45.68508752297483
            ],
            "approximateTV": [
              41.40083314682609,
              45.26126385535806
            ],
            "approximateDelta": [
              1.3461911277144836,
              -0.42382366761677304
            ],
            "approximateResidual": 1.3461911277144836,
            "approximateError": 2.554053633062267,
            "approximateBound": 12.090321010770205,
            "pathDistance": 1.2605211799111586,
            "pathBound": 9.434383726497462,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.8461911277144836
          },
          {
            "k": 57,
            "value": [
              40.20333802591049,
              44.551164112867006
            ],
            "q": [
              [
                39.19317112461496,
                40.32360590722365
              ],
              [
                44.67143199418018,
                40.19317112461496
              ]
            ],
            "tv": [
              40.32360590722365,
              44.67143199418018
            ],
            "delta": [
              0.12026788131316124,
              0.12026788131317545
            ],
            "residual": 0.12026788131317545,
            "minDelta": 0.12026788131316124,
            "maxDelta": 0.12026788131317545,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.700062395888378e-13,
            "error": 2.405357626263381,
            "geometricBound": 2.5231404200591063,
            "residualBound": 2.405357626263507,
            "lower": [
              42.608695652173715,
              46.95652173913023
            ],
            "upper": [
              42.608695652174,
              46.956521739130515
            ],
            "policyLower": [
              42.608695652173715,
              46.956521739130245
            ],
            "optimalUpper": [
              42.608695652173985,
              46.956521739130515
            ],
            "certifiedStop": false,
            "shifted": [
              41.546676675478984,
              45.89450276243551
            ],
            "shiftDifference": [
              1.3433386495684942,
              1.3433386495685014
            ],
            "shiftExpected": 1.3433386495685071,
            "shiftDefect": [
              -1.2878587085651816e-14,
              -5.773159728050814e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.053100948834746475,
              0.053100948834746475
            ],
            "approximate": [
              41.90083314682609,
              44.76126385535806
            ],
            "approximateTV": [
              40.80579148948478,
              45.43623699334801
            ],
            "approximateDelta": [
              -1.095041657341305,
              0.6749731379899515
            ],
            "approximateResidual": 1.095041657341305,
            "approximateError": 2.195257883772328,
            "approximateBound": 11.985804960231697,
            "pathDistance": 1.6974951209155975,
            "pathBound": 9.46266454017259,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.595041657341305
          },
          {
            "k": 58,
            "value": [
              40.32360590722365,
              44.67143199418018
            ],
            "q": [
              [
                39.30742561186247,
                40.43786039447117
              ],
              [
                44.78568648142769,
                40.30742561186247
              ]
            ],
            "tv": [
              40.43786039447117,
              44.78568648142769
            ],
            "delta": [
              0.1142544872475213,
              0.11425448724750709
            ],
            "residual": 0.1142544872475213,
            "minDelta": 0.11425448724750709,
            "maxDelta": 0.1142544872475213,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.700062395888378e-13,
            "error": 2.28508974495022,
            "geometricBound": 2.396983399056151,
            "residualBound": 2.2850897449504237,
            "lower": [
              42.60869565217379,
              46.956521739130324
            ],
            "upper": [
              42.60869565217408,
              46.95652173913061
            ],
            "policyLower": [
              42.60869565217381,
              46.956521739130324
            ],
            "optimalUpper": [
              42.60869565217408,
              46.956521739130594
            ],
            "certifiedStop": false,
            "shifted": [
              41.59977762431373,
              45.947603711270254
            ],
            "shiftDifference": [
              1.2761717170900795,
              1.2761717170900724
            ],
            "shiftExpected": 1.2761717170900817,
            "shiftDefect": [
              -2.220446049250313e-15,
              -9.325873406851315e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.05044590139301164,
              0.05044590139300453
            ],
            "approximate": [
              40.30579148948478,
              45.93623699334801
            ],
            "approximateTV": [
              41.63942514368061,
              45.49985585221258
            ],
            "approximateDelta": [
              1.333633654195829,
              -0.4363811411354277
            ],
            "approximateResidual": 1.333633654195829,
            "approximateError": 2.3029041626890887,
            "approximateBound": 11.886514712220109,
            "pathDistance": 1.2648049991678292,
            "pathBound": 9.489531313163958,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.833633654195829
          },
          {
            "k": 59,
            "value": [
              40.43786039447117,
              44.78568648142769
            ],
            "q": [
              [
                39.41596737474761,
                40.546402157356304
              ],
              [
                44.89422824431282,
                40.41596737474761
              ]
            ],
            "tv": [
              40.546402157356304,
              44.89422824431282
            ],
            "delta": [
              0.10854176288513173,
              0.10854176288513173
            ],
            "residual": 0.10854176288513173,
            "minDelta": 0.10854176288513173,
            "maxDelta": 0.10854176288513173,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 2.1708352577026986,
            "geometricBound": 2.2771342291033436,
            "residualBound": 2.170835257702633,
            "lower": [
              42.60869565217381,
              46.956521739130324
            ],
            "upper": [
              42.60869565217381,
              46.956521739130324
            ],
            "policyLower": [
              42.60869565217381,
              46.956521739130324
            ],
            "optimalUpper": [
              42.60869565217381,
              46.956521739130324
            ],
            "certifiedStop": false,
            "shifted": [
              41.65022352570674,
              45.99804961266326
            ],
            "shiftDifference": [
              1.2123631312355698,
              1.2123631312355698
            ],
            "shiftExpected": 1.2123631312355776,
            "shiftDefect": [
              -7.771561172376096e-15,
              -7.771561172376096e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.047923606323351464,
              0.047923606323365675
            ],
            "approximate": [
              42.13942514368061,
              44.99985585221258
            ],
            "approximateTV": [
              41.032453886496576,
              45.6628993903598
            ],
            "approximateDelta": [
              -1.1069712571840356,
              0.663043538147214
            ],
            "approximateResidual": 1.1069712571840356,
            "approximateError": 1.9566658869178042,
            "approximateBound": 11.792188976609104,
            "pathDistance": 1.7015647492094388,
            "pathBound": 9.51505474750576,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6069712571840356
          },
          {
            "k": 60,
            "value": [
              40.546402157356304,
              44.89422824431282
            ],
            "q": [
              [
                39.51908204948849,
                40.64951683209718
              ],
              [
                44.9973429190537,
                40.51908204948849
              ]
            ],
            "tv": [
              40.64951683209718,
              44.9973429190537
            ],
            "delta": [
              0.10311467474087266,
              0.10311467474087976
            ],
            "residual": 0.10311467474087976,
            "minDelta": 0.10311467474087266,
            "maxDelta": 0.10311467474087976,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 2.062293494817567,
            "geometricBound": 2.163277517648176,
            "residualBound": 2.0622934948175935,
            "lower": [
              42.60869565217376,
              46.956521739130274
            ],
            "upper": [
              42.6086956521739,
              46.956521739130416
            ],
            "policyLower": [
              42.60869565217376,
              46.95652173913028
            ],
            "optimalUpper": [
              42.60869565217389,
              46.956521739130416
            ],
            "certifiedStop": false,
            "shifted": [
              41.698147132030094,
              46.045973218986624
            ],
            "shiftDifference": [
              1.1517449746737896,
              1.1517449746738038
            ],
            "shiftExpected": 1.1517449746737987,
            "shiftDefect": [
              -9.103828801926284e-15,
              5.10702591327572e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.04552742600719739,
              0.04552742600718318
            ],
            "approximate": [
              40.532453886496576,
              46.1628993903598
            ],
            "approximateTV": [
              41.85475442084181,
              45.71518512937378
            ],
            "approximateDelta": [
              1.3223005343452314,
              -0.4477142609860181
            ],
            "approximateResidual": 1.3223005343452314,
            "approximateError": 2.0762417656772953,
            "approximateBound": 11.702579527778648,
            "pathDistance": 1.2686711460469766,
            "pathBound": 9.539302010130472,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.8223005343452314
          },
          {
            "k": 61,
            "value": [
              40.64951683209718,
              44.9973429190537
            ],
            "q": [
              [
                39.61704099049231,
                40.747475773101016
              ],
              [
                45.09530186005753,
                40.61704099049231
              ]
            ],
            "tv": [
              40.747475773101016,
              45.09530186005753
            ],
            "delta": [
              0.09795894100383862,
              0.09795894100383151
            ],
            "residual": 0.09795894100383862,
            "minDelta": 0.09795894100383151,
            "maxDelta": 0.09795894100383862,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 1.9591788200766942,
            "geometricBound": 2.055113641765767,
            "residualBound": 1.9591788200767706,
            "lower": [
              42.60869565217381,
              46.95652173913033
            ],
            "upper": [
              42.60869565217395,
              46.95652173913047
            ],
            "policyLower": [
              42.608695652173814,
              46.95652173913033
            ],
            "optimalUpper": [
              42.60869565217395,
              46.956521739130466
            ],
            "certifiedStop": false,
            "shifted": [
              41.74367455803729,
              46.09150064499381
            ],
            "shiftDifference": [
              1.0941577259401143,
              1.0941577259401072
            ],
            "shiftExpected": 1.0941577259401087,
            "shiftDefect": [
              5.551115123125783e-15,
              -1.5543122344752192e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.04325105470682189,
              0.0432510547068361
            ],
            "approximate": [
              42.35475442084181,
              45.21518512937378
            ],
            "approximateTV": [
              41.23701669979972,
              45.86746220366294
            ],
            "approximateDelta": [
              -1.11773772104209,
              0.6522770742891595
            ],
            "approximateResidual": 1.11773772104209,
            "approximateError": 1.7413366097566083,
            "approximateBound": 11.617450551389716,
            "pathDistance": 1.7052375887446303,
            "pathBound": 9.562336909623948,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.61773772104209
          },
          {
            "k": 62,
            "value": [
              40.747475773101016,
              45.09530186005753
            ],
            "q": [
              [
                39.71010198444596,
                40.84053676705465
              ],
              [
                45.188362854011174,
                40.71010198444596
              ]
            ],
            "tv": [
              40.84053676705465,
              45.188362854011174
            ],
            "delta": [
              0.09306099395363532,
              0.09306099395364242
            ],
            "residual": 0.09306099395364242,
            "minDelta": 0.09306099395363532,
            "maxDelta": 0.09306099395364242,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 1.8612198790728556,
            "geometricBound": 1.952357959677479,
            "residualBound": 1.861219879072847,
            "lower": [
              42.60869565217372,
              46.95652173913024
            ],
            "upper": [
              42.608695652173864,
              46.95652173913038
            ],
            "policyLower": [
              42.60869565217372,
              46.956521739130245
            ],
            "optimalUpper": [
              42.60869565217386,
              46.95652173913038
            ],
            "certifiedStop": false,
            "shifted": [
              41.78692561274411,
              46.134751699700644
            ],
            "shiftDifference": [
              1.0394498396430976,
              1.0394498396431118
            ],
            "shiftExpected": 1.0394498396431033,
            "shiftDefect": [
              -5.773159728050814e-15,
              8.43769498715119e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.04108850197149394,
              0.041088501971486835
            ],
            "approximate": [
              40.73701669979972,
              46.36746220366294
            ],
            "approximateTV": [
              42.04908909347979,
              45.909519802011765
            ],
            "approximateDelta": [
              1.3120723936800758,
              -0.4579424016511737
            ],
            "approximateResidual": 1.3120723936800758,
            "approximateError": 1.871678952374154,
            "approximateBound": 11.53657802382023,
            "pathDistance": 1.2721603436054068,
            "pathBound": 9.58422006414275,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.8120723936800758
          },
          {
            "k": 63,
            "value": [
              40.84053676705465,
              45.188362854011174
            ],
            "q": [
              [
                39.79850992870192,
                40.92894471131061
              ],
              [
                45.27677079826714,
                40.79850992870192
              ]
            ],
            "tv": [
              40.92894471131061,
              45.27677079826714
            ],
            "delta": [
              0.08840794425596243,
              0.08840794425596243
            ],
            "residual": 0.08840794425596243,
            "minDelta": 0.08840794425596243,
            "maxDelta": 0.08840794425596243,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.7681588851192203,
            "geometricBound": 1.8547400616936047,
            "residualBound": 1.7681588851192471,
            "lower": [
              42.6086956521739,
              46.95652173913042
            ],
            "upper": [
              42.6086956521739,
              46.95652173913042
            ],
            "policyLower": [
              42.6086956521739,
              46.95652173913042
            ],
            "optimalUpper": [
              42.6086956521739,
              46.95652173913042
            ],
            "certifiedStop": false,
            "shifted": [
              41.82801411471561,
              46.17584020167213
            ],
            "shiftDifference": [
              0.9874773476609562,
              0.9874773476609562
            ],
            "shiftExpected": 0.987477347660948,
            "shiftDefect": [
              8.215650382226158e-15,
              8.215650382226158e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.039034076872916046,
              0.039034076872916046
            ],
            "approximate": [
              42.54908909347979,
              45.409519802011765
            ],
            "approximateTV": [
              41.4216346388058,
              46.05208014266902
            ],
            "approximateDelta": [
              -1.1274544546739946,
              0.6425603406572549
            ],
            "approximateResidual": 1.1274544546739946,
            "approximateError": 1.5470019371186225,
            "approximateBound": 11.459749122629217,
            "pathDistance": 1.708552326425142,
            "pathBound": 9.605009060935613,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6274544546739946
          },
          {
            "k": 64,
            "value": [
              40.92894471131061,
              45.27677079826714
            ],
            "q": [
              [
                39.88249747574508,
                41.01293225835378
              ],
              [
                45.3607583453103,
                40.88249747574508
              ]
            ],
            "tv": [
              41.01293225835378,
              45.3607583453103
            ],
            "delta": [
              0.08398754704316502,
              0.08398754704316502
            ],
            "residual": 0.08398754704316502,
            "minDelta": 0.08398754704316502,
            "maxDelta": 0.08398754704316502,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.6797509408632578,
            "geometricBound": 1.7620030586089244,
            "residualBound": 1.679750940863299,
            "lower": [
              42.608695652173914,
              46.95652173913044
            ],
            "upper": [
              42.608695652173914,
              46.95652173913044
            ],
            "policyLower": [
              42.608695652173914,
              46.95652173913044
            ],
            "optimalUpper": [
              42.608695652173914,
              46.95652173913044
            ],
            "certifiedStop": false,
            "shifted": [
              41.86704819158852,
              46.21487427854505
            ],
            "shiftDifference": [
              0.9381034802779098,
              0.9381034802779098
            ],
            "shiftExpected": 0.9381034802779005,
            "shiftDefect": [
              9.325873406851315e-15,
              9.325873406851315e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.03708237302927131,
              0.037082373029264204
            ],
            "approximate": [
              40.9216346388058,
              46.55208014266902
            ],
            "approximateTV": [
              42.22447613553557,
              46.08490684406755
            ],
            "approximateDelta": [
              1.3028414967297692,
              -0.46717329860147316
            ],
            "approximateResidual": 1.3028414967297692,
            "approximateError": 1.6870610133680728,
            "approximateBound": 11.386761666497756,
            "pathDistance": 1.275309344401883,
            "pathBound": 9.624758607888833,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.8028414967297692
          },
          {
            "k": 65,
            "value": [
              41.01293225835378,
              45.3607583453103
            ],
            "q": [
              [
                39.96228564543609,
                41.092720428044785
              ],
              [
                45.44054651500131,
                40.96228564543609
              ]
            ],
            "tv": [
              41.092720428044785,
              45.44054651500131
            ],
            "delta": [
              0.07978816969100677,
              0.07978816969100677
            ],
            "residual": 0.07978816969100677,
            "minDelta": 0.07978816969100677,
            "maxDelta": 0.07978816969100677,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.5957633938200928,
            "geometricBound": 1.6739029056784782,
            "residualBound": 1.595763393820134,
            "lower": [
              42.608695652173914,
              46.95652173913044
            ],
            "upper": [
              42.608695652173914,
              46.95652173913044
            ],
            "policyLower": [
              42.608695652173914,
              46.95652173913044
            ],
            "optimalUpper": [
              42.608695652173914,
              46.95652173913044
            ],
            "certifiedStop": false,
            "shifted": [
              41.904130564617795,
              46.25195665157431
            ],
            "shiftDifference": [
              0.8911983062640161,
              0.891198306264009
            ],
            "shiftExpected": 0.8911983062640054,
            "shiftDefect": [
              1.0658141036401503e-14,
              3.552713678800501e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.03522825437779886,
              0.03522825437781307
            ],
            "approximate": [
              42.72447613553557,
              45.58490684406755
            ],
            "approximateTV": [
              41.588252328758784,
              46.21869783262201
            ],
            "approximateDelta": [
              -1.1362238067767834,
              0.6337909885544661
            ],
            "approximateResidual": 1.1362238067767834,
            "approximateError": 1.3716148950628408,
            "approximateBound": 11.317423583172868,
            "pathDistance": 1.7115438771817892,
            "pathBound": 9.64352067749439,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6362238067767834
          },
          {
            "k": 66,
            "value": [
              41.092720428044785,
              45.44054651500131
            ],
            "q": [
              [
                40.03808440664255,
                41.16851918925124
              ],
              [
                45.516345276207765,
                41.03808440664255
              ]
            ],
            "tv": [
              41.16851918925124,
              45.516345276207765
            ],
            "delta": [
              0.07579876120645679,
              0.07579876120645679
            ],
            "residual": 0.07579876120645679,
            "minDelta": 0.07579876120645679,
            "maxDelta": 0.07579876120645679,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.515975224129086,
            "geometricBound": 1.5902077603945541,
            "residualBound": 1.5159752241291344,
            "lower": [
              42.60869565217392,
              46.956521739130444
            ],
            "upper": [
              42.60869565217392,
              46.956521739130444
            ],
            "policyLower": [
              42.60869565217392,
              46.956521739130444
            ],
            "optimalUpper": [
              42.60869565217392,
              46.956521739130444
            ],
            "certifiedStop": false,
            "shifted": [
              41.93935881899559,
              46.287184905952124
            ],
            "shiftDifference": [
              0.8466383909508082,
              0.8466383909508153
            ],
            "shiftExpected": 0.8466383909508052,
            "shiftDefect": [
              2.9976021664879227e-15,
              1.0103029524088925e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.033466841658921,
              0.03346684165890679
            ],
            "approximate": [
              41.088252328758784,
              46.71869783262201
            ],
            "approximateTV": [
              42.38276294099091,
              46.24319364952289
            ],
            "approximateDelta": [
              1.2945106122321235,
              -0.475504183099126
            ],
            "approximateResidual": 1.2945106122321235,
            "approximateError": 1.520443323415087,
            "approximateBound": 11.251552404014223,
            "pathDistance": 1.2781513176207042,
            "pathBound": 9.66134464361967,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.7945106122321235
          },
          {
            "k": 67,
            "value": [
              41.16851918925124,
              45.516345276207765
            ],
            "q": [
              [
                40.11009322978868,
                41.24052801239738
              ],
              [
                45.58835409935389,
                41.11009322978868
              ]
            ],
            "tv": [
              41.24052801239738,
              45.58835409935389
            ],
            "delta": [
              0.07200882314613466,
              0.07200882314612755
            ],
            "residual": 0.07200882314613466,
            "minDelta": 0.07200882314612755,
            "maxDelta": 0.07200882314613466,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 1.4401764629226292,
            "geometricBound": 1.5106973723748263,
            "residualBound": 1.4401764629226919,
            "lower": [
              42.60869565217379,
              46.95652173913032
            ],
            "upper": [
              42.608695652173935,
              46.95652173913046
            ],
            "policyLower": [
              42.6086956521738,
              46.95652173913032
            ],
            "optimalUpper": [
              42.608695652173935,
              46.95652173913045
            ],
            "certifiedStop": false,
            "shifted": [
              41.972825660654514,
              46.32065174761103
            ],
            "shiftDifference": [
              0.8043064714032724,
              0.8043064714032653
            ],
            "shiftExpected": 0.8043064714032648,
            "shiftDefect": [
              7.549516567451064e-15,
              4.440892098500626e-16
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.03179349957596145,
              0.03179349957597566
            ],
            "approximate": [
              42.88276294099091,
              45.74319364952289
            ],
            "approximateTV": [
              41.73862479394136,
              46.36907029780459
            ],
            "approximateDelta": [
              -1.1441381470495458,
              0.6258766482817038
            ],
            "approximateResidual": 1.1441381470495458,
            "approximateError": 1.2133280896075007,
            "approximateBound": 11.188974783813512,
            "pathDistance": 1.7142437517396658,
            "pathBound": 9.678277411438685,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6441381470495458
          },
          {
            "k": 68,
            "value": [
              41.24052801239738,
              45.58835409935389
            ],
            "q": [
              [
                40.178501611777506,
                41.308936394386194
              ],
              [
                45.65676248134272,
                41.178501611777506
              ]
            ],
            "tv": [
              41.308936394386194,
              45.65676248134272
            ],
            "delta": [
              0.06840838198881727,
              0.06840838198882437
            ],
            "residual": 0.06840838198882437,
            "minDelta": 0.06840838198881727,
            "maxDelta": 0.06840838198882437,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 1.3681676397764946,
            "geometricBound": 1.435162503756085,
            "residualBound": 1.3681676397764864,
            "lower": [
              42.60869565217372,
              46.95652173913024
            ],
            "upper": [
              42.608695652173864,
              46.95652173913038
            ],
            "policyLower": [
              42.60869565217372,
              46.956521739130245
            ],
            "optimalUpper": [
              42.60869565217386,
              46.95652173913038
            ],
            "certifiedStop": false,
            "shifted": [
              42.004619160230476,
              46.352445247187006
            ],
            "shiftDifference": [
              0.7640911478330992,
              0.7640911478331134
            ],
            "shiftExpected": 0.7640911478331016,
            "shiftDefect": [
              -2.4424906541753444e-15,
              1.176836406102666e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.030203824597180073,
              0.030203824597165863
            ],
            "approximate": [
              41.23862479394136,
              46.86907029780459
            ],
            "approximateTV": [
              42.52561678291436,
              46.386047491446334
            ],
            "approximateDelta": [
              1.286991988973,
              -0.4830228063582567
            ],
            "approximateResidual": 1.286991988973,
            "approximateError": 1.3700708582325092,
            "approximateBound": 11.129526044622835,
            "pathDistance": 1.2807161984506976,
            "pathBound": 9.694363540866751,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.786991988973
          },
          {
            "k": 69,
            "value": [
              41.308936394386194,
              45.65676248134272
            ],
            "q": [
              [
                40.24348957466688,
                41.37392435727558
              ],
              [
                45.7217504442321,
                41.24348957466688
              ]
            ],
            "tv": [
              41.37392435727558,
              45.7217504442321
            ],
            "delta": [
              0.0649879628893828,
              0.0649879628893828
            ],
            "residual": 0.0649879628893828,
            "minDelta": 0.0649879628893828,
            "maxDelta": 0.0649879628893828,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.2997592577876773,
            "geometricBound": 1.3634043785682808,
            "residualBound": 1.2997592577876549,
            "lower": [
              42.60869565217385,
              46.95652173913037
            ],
            "upper": [
              42.60869565217385,
              46.95652173913037
            ],
            "policyLower": [
              42.60869565217385,
              46.95652173913037
            ],
            "optimalUpper": [
              42.60869565217385,
              46.95652173913037
            ],
            "certifiedStop": false,
            "shifted": [
              42.034822984827656,
              46.38264907178417
            ],
            "shiftDifference": [
              0.725886590441462,
              0.7258865904414549
            ],
            "shiftExpected": 0.7258865904414465,
            "shiftDefect": [
              1.5432100042289676e-14,
              8.326672684688674e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.028693633367304017,
              0.028693633367311122
            ],
            "approximate": [
              43.02561678291436,
              45.886047491446334
            ],
            "approximateTV": [
              41.87433594376864,
              46.50478144763187
            ],
            "approximateDelta": [
              -1.1512808391457199,
              0.6187339561855367
            ],
            "approximateResidual": 1.1512808391457199,
            "approximateError": 1.0704742476840536,
            "approximateBound": 11.073049742391692,
            "pathDistance": 1.716680388528168,
            "pathBound": 9.709645363823412,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6512808391457199
          },
          {
            "k": 70,
            "value": [
              41.37392435727558,
              45.7217504442321
            ],
            "q": [
              [
                40.305228139411795,
                41.43566292202049
              ],
              [
                45.783489008977014,
                41.305228139411795
              ]
            ],
            "tv": [
              41.43566292202049,
              45.783489008977014
            ],
            "delta": [
              0.061738564744914015,
              0.061738564744914015
            ],
            "residual": 0.061738564744914015,
            "minDelta": 0.061738564744914015,
            "maxDelta": 0.061738564744914015,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.2347712948982945,
            "geometricBound": 1.2952341596398667,
            "residualBound": 1.2347712948982792,
            "lower": [
              42.60869565217386,
              46.95652173913038
            ],
            "upper": [
              42.60869565217386,
              46.95652173913038
            ],
            "policyLower": [
              42.60869565217386,
              46.95652173913038
            ],
            "optimalUpper": [
              42.60869565217386,
              46.95652173913038
            ],
            "certifiedStop": false,
            "shifted": [
              42.06351661819496,
              46.41134270515148
            ],
            "shiftDifference": [
              0.6895922609193832,
              0.6895922609193832
            ],
            "shiftExpected": 0.6895922609193741,
            "shiftDefect": [
              9.103828801926284e-15,
              9.103828801926284e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.027258951698946987,
              0.027258951698946987
            ],
            "approximate": [
              41.37433594376864,
              47.00478144763187
            ],
            "approximateTV": [
              42.65454237525027,
              46.51497308378225
            ],
            "approximateDelta": [
              1.2802064314816306,
              -0.4898083638496189
            ],
            "approximateResidual": 1.2802064314816306,
            "approximateError": 1.2343597084052291,
            "approximateBound": 11.019397255272107,
            "pathDistance": 1.2830310033997705,
            "pathBound": 9.72416309563224,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.7802064314816306
          },
          {
            "k": 71,
            "value": [
              41.43566292202049,
              45.783489008977014
            ],
            "q": [
              [
                40.363879775919465,
                41.49431455852816
              ],
              [
                45.84214064548468,
                41.363879775919465
              ]
            ],
            "tv": [
              41.49431455852816,
              45.84214064548468
            ],
            "delta": [
              0.058651636507669025,
              0.058651636507669025
            ],
            "residual": 0.058651636507669025,
            "minDelta": 0.058651636507669025,
            "maxDelta": 0.058651636507669025,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.1730327301533805,
            "geometricBound": 1.2304724516578733,
            "residualBound": 1.1730327301533794,
            "lower": [
              42.60869565217387,
              46.956521739130395
            ],
            "upper": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLower": [
              42.60869565217387,
              46.956521739130395
            ],
            "optimalUpper": [
              42.60869565217387,
              46.956521739130395
            ],
            "certifiedStop": false,
            "shifted": [
              42.09077556989391,
              46.43860165685043
            ],
            "shiftDifference": [
              0.6551126478734162,
              0.6551126478734162
            ],
            "shiftExpected": 0.6551126478734054,
            "shiftDefect": [
              1.0769163338864018e-14,
              1.0769163338864018e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.025896004114002835,
              0.02589600411399573
            ],
            "approximate": [
              43.15454237525027,
              46.01497308378225
            ],
            "approximateTV": [
              41.99681525648776,
              46.627260760350985
            ],
            "approximateDelta": [
              -1.1577271187625158,
              0.6122876765687337
            ],
            "approximateResidual": 1.1577271187625158,
            "approximateError": 0.9415486553481358,
            "approximateBound": 10.968427392508502,
            "pathDistance": 1.718879453229782,
            "pathBound": 9.73795494085063,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6577271187625158
          },
          {
            "k": 72,
            "value": [
              41.49431455852816,
              45.84214064548468
            ],
            "q": [
              [
                40.41959883060175,
                41.550033613210445
              ],
              [
                45.89785970016697,
                41.41959883060175
              ]
            ],
            "tv": [
              41.550033613210445,
              45.89785970016697
            ],
            "delta": [
              0.05571905468228522,
              0.05571905468228522
            ],
            "residual": 0.05571905468228522,
            "minDelta": 0.05571905468228522,
            "maxDelta": 0.05571905468228522,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.1143810936457115,
            "geometricBound": 1.1689488290749794,
            "residualBound": 1.1143810936457035,
            "lower": [
              42.608695652173864,
              46.95652173913039
            ],
            "upper": [
              42.608695652173864,
              46.95652173913039
            ],
            "policyLower": [
              42.608695652173864,
              46.95652173913039
            ],
            "optimalUpper": [
              42.608695652173864,
              46.95652173913039
            ],
            "certifiedStop": false,
            "shifted": [
              42.11667157400791,
              46.464497660964426
            ],
            "shiftDifference": [
              0.62235701547975,
              0.6223570154797429
            ],
            "shiftExpected": 0.6223570154797351,
            "shiftDefect": [
              1.4876988529977098e-14,
              7.771561172376096e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.024601203908289904,
              0.02460120390829701
            ],
            "approximate": [
              41.49681525648776,
              47.127260760350985
            ],
            "approximateTV": [
              42.77089772233344,
              46.63132843086541
            ],
            "approximateDelta": [
              1.2740824658456802,
              -0.4959323294855764
            ],
            "approximateResidual": 1.2740824658456802,
            "approximateError": 1.1118803956861143,
            "approximateBound": 10.920006022883078,
            "pathDistance": 1.2851201148663023,
            "pathBound": 9.751057193808098,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.7740824658456802
          },
          {
            "k": 73,
            "value": [
              41.550033613210445,
              45.89785970016697
            ],
            "q": [
              [
                40.47253193254992,
                41.602966715158615
              ],
              [
                45.95079280211514,
                41.47253193254992
              ]
            ],
            "tv": [
              41.602966715158615,
              45.95079280211514
            ],
            "delta": [
              0.05293310194817025,
              0.05293310194817025
            ],
            "residual": 0.05293310194817025,
            "minDelta": 0.05293310194817025,
            "maxDelta": 0.05293310194817025,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.0586620389634263,
            "geometricBound": 1.1105013876212306,
            "residualBound": 1.058662038963404,
            "lower": [
              42.60869565217385,
              46.95652173913037
            ],
            "upper": [
              42.60869565217385,
              46.95652173913037
            ],
            "policyLower": [
              42.60869565217385,
              46.95652173913037
            ],
            "optimalUpper": [
              42.60869565217385,
              46.95652173913037
            ],
            "certifiedStop": false,
            "shifted": [
              42.1412727779162,
              46.48909886487272
            ],
            "shiftDifference": [
              0.5912391647057547,
              0.5912391647057547
            ],
            "shiftExpected": 0.5912391647057483,
            "shiftDefect": [
              6.328271240363392e-15,
              6.328271240363392e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.023371143712886067,
              0.023371143712886067
            ],
            "approximate": [
              43.27089772233344,
              46.13132843086541
            ],
            "approximateTV": [
              42.10735283621676,
              46.73779834007999
            ],
            "approximateDelta": [
              -1.163544886116675,
              0.6064699092145815
            ],
            "approximateResidual": 1.163544886116675,
            "approximateError": 0.8251933082649785,
            "approximateBound": 10.874005721738923,
            "pathDistance": 1.7208641091229921,
            "pathBound": 9.763504334117693,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.663544886116675
          },
          {
            "k": 74,
            "value": [
              41.602966715158615,
              45.95079280211514
            ],
            "q": [
              [
                40.52281837940068,
                41.65325316200938
              ],
              [
                46.0010792489659,
                41.52281837940068
              ]
            ],
            "tv": [
              41.65325316200938,
              46.0010792489659
            ],
            "delta": [
              0.050286446850762445,
              0.050286446850762445
            ],
            "residual": 0.050286446850762445,
            "minDelta": 0.050286446850762445,
            "maxDelta": 0.050286446850762445,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 1.005728937015256,
            "geometricBound": 1.054976318240169,
            "residualBound": 1.005728937015248,
            "lower": [
              42.608695652173864,
              46.95652173913039
            ],
            "upper": [
              42.608695652173864,
              46.95652173913039
            ],
            "policyLower": [
              42.608695652173864,
              46.95652173913039
            ],
            "optimalUpper": [
              42.608695652173864,
              46.95652173913039
            ],
            "certifiedStop": false,
            "shifted": [
              42.164643921629086,
              46.51247000858561
            ],
            "shiftDifference": [
              0.5616772064704705,
              0.5616772064704705
            ],
            "shiftExpected": 0.5616772064704609,
            "shiftDefect": [
              9.547918011776346e-15,
              9.547918011776346e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.02220258652724283,
              0.022202586527235724
            ],
            "approximate": [
              41.60735283621676,
              47.23779834007999
            ],
            "approximateTV": [
              42.87590842307599,
              46.73633913160796
            ],
            "approximateDelta": [
              1.2685555868592289,
              -0.5014592084720277
            ],
            "approximateResidual": 1.2685555868592289,
            "approximateError": 1.0013428159571092,
            "approximateBound": 10.830305435651974,
            "pathDistance": 1.287005537964852,
            "pathBound": 9.775329117411806,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.7685555868592289
          },
          {
            "k": 75,
            "value": [
              41.65325316200938,
              46.0010792489659
            ],
            "q": [
              [
                40.57059050390891,
                41.701025286517606
              ],
              [
                46.04885137347412,
                41.57059050390891
              ]
            ],
            "tv": [
              41.701025286517606,
              46.04885137347412
            ],
            "delta": [
              0.047772124508227876,
              0.04777212450822077
            ],
            "residual": 0.047772124508227876,
            "minDelta": 0.04777212450822077,
            "maxDelta": 0.047772124508227876,
            "spanDelta": 7.105427357601002e-15,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 1.350031197944189e-13,
            "error": 0.9554424901644936,
            "geometricBound": 1.0022275023281604,
            "residualBound": 0.9554424901645566,
            "lower": [
              42.60869565217379,
              46.95652173913032
            ],
            "upper": [
              42.608695652173935,
              46.95652173913046
            ],
            "policyLower": [
              42.6086956521738,
              46.95652173913032
            ],
            "optimalUpper": [
              42.608695652173935,
              46.95652173913045
            ],
            "certifiedStop": false,
            "shifted": [
              42.18684650815633,
              46.534672595112845
            ],
            "shiftDifference": [
              0.5335933461469509,
              0.5335933461469438
            ],
            "shiftExpected": 0.5335933461469378,
            "shiftDefect": [
              1.3100631690576847e-14,
              5.995204332975845e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.02109245720087216,
              0.021092457200886372
            ],
            "approximate": [
              43.37590842307599,
              46.23633913160796
            ],
            "approximateTV": [
              42.20711300192219,
              46.83755850578542
            ],
            "approximateDelta": [
              -1.1687954211538027,
              0.6012193741774539
            ],
            "approximateResidual": 1.1687954211538027,
            "approximateError": 0.7672127709021197,
            "approximateBound": 10.788790163869377,
            "pathDistance": 1.7226552610666133,
            "pathBound": 9.786562661541216,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6687954211538027
          },
          {
            "k": 76,
            "value": [
              41.701025286517606,
              46.04885137347412
            ],
            "q": [
              [
                40.61597402219172,
                41.74640880480042
              ],
              [
                46.09423489175693,
                41.61597402219172
              ]
            ],
            "tv": [
              41.74640880480042,
              46.09423489175693
            ],
            "delta": [
              0.04538351828281151,
              0.04538351828281151
            ],
            "residual": 0.04538351828281151,
            "minDelta": 0.04538351828281151,
            "maxDelta": 0.04538351828281151,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 0.9076703656562657,
            "geometricBound": 0.9521161272117523,
            "residualBound": 0.9076703656562294,
            "lower": [
              42.608695652173836,
              46.95652173913035
            ],
            "upper": [
              42.608695652173836,
              46.95652173913035
            ],
            "policyLower": [
              42.608695652173836,
              46.95652173913035
            ],
            "optimalUpper": [
              42.608695652173836,
              46.95652173913035
            ],
            "certifiedStop": false,
            "shifted": [
              42.2079389653572,
              46.55576505231373
            ],
            "shiftDifference": [
              0.5069136788395951,
              0.5069136788396094
            ],
            "shiftExpected": 0.5069136788395908,
            "shiftDefect": [
              4.3298697960381105e-15,
              1.8540724511240114e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.020037834340840277,
              0.02003783434083317
            ],
            "approximate": [
              41.70711300192219,
              47.33755850578542
            ],
            "approximateTV": [
              42.97068058049614,
              46.831111289028115
            ],
            "approximateDelta": [
              1.263567578573955,
              -0.5064472167573015
            ],
            "approximateResidual": 1.263567578573955,
            "approximateError": 0.901582650251683,
            "approximateBound": 10.749350655675908,
            "pathDistance": 1.2887071323112949,
            "pathBound": 9.797234528464156,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.763567578573955
          },
          {
            "k": 77,
            "value": [
              41.74640880480042,
              46.09423489175693
            ],
            "q": [
              [
                40.6590883645604,
                41.789523147169085
              ],
              [
                46.137349234125615,
                41.6590883645604
              ]
            ],
            "tv": [
              41.789523147169085,
              46.137349234125615
            ],
            "delta": [
              0.043114342368667735,
              0.043114342368681946
            ],
            "residual": 0.043114342368681946,
            "minDelta": 0.043114342368667735,
            "maxDelta": 0.043114342368681946,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.700062395888378e-13,
            "error": 0.8622868473734542,
            "geometricBound": 0.9045103208511646,
            "residualBound": 0.8622868473736381,
            "lower": [
              42.60869565217377,
              46.95652173913029
            ],
            "upper": [
              42.608695652174056,
              46.95652173913057
            ],
            "policyLower": [
              42.60869565217377,
              46.9565217391303
            ],
            "optimalUpper": [
              42.60869565217404,
              46.95652173913057
            ],
            "certifiedStop": false,
            "shifted": [
              42.22797679969804,
              46.575802886654564
            ],
            "shiftDifference": [
              0.4815679948976239,
              0.481567994897631
            ],
            "shiftExpected": 0.48156799489761126,
            "shiftDefect": [
              1.2656542480726785e-14,
              1.9761969838327786e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.01903594262379471,
              0.019035942623787605
            ],
            "approximate": [
              43.47068058049614,
              46.331111289028115
            ],
            "approximateTV": [
              42.297146551471336,
              46.927592055334564
            ],
            "approximateDelta": [
              -1.1735340290248075,
              0.5964807663064491
            ],
            "approximateResidual": 1.1735340290248075,
            "approximateError": 0.861984928322272,
            "approximateBound": 10.711883122892111,
            "pathDistance": 1.7242717756957262,
            "pathBound": 9.807372802040947,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6735340290248075
          },
          {
            "k": 78,
            "value": [
              41.789523147169085,
              46.137349234125615
            ],
            "q": [
              [
                40.70004698981063,
                41.83048177241933
              ],
              [
                46.17830785937585,
                41.70004698981063
              ]
            ],
            "tv": [
              41.83048177241933,
              46.17830785937585
            ],
            "delta": [
              0.04095862525024785,
              0.04095862525023364
            ],
            "residual": 0.04095862525024785,
            "minDelta": 0.04095862525023364,
            "maxDelta": 0.04095862525024785,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.700062395888378e-13,
            "error": 0.8191725050047864,
            "geometricBound": 0.8592848048086065,
            "residualBound": 0.8191725050049562,
            "lower": [
              42.60869565217376,
              46.95652173913029
            ],
            "upper": [
              42.60869565217404,
              46.95652173913057
            ],
            "policyLower": [
              42.60869565217377,
              46.95652173913029
            ],
            "optimalUpper": [
              42.60869565217404,
              46.95652173913056
            ],
            "certifiedStop": false,
            "shifted": [
              42.247012742321836,
              46.59483882927835
            ],
            "shiftDifference": [
              0.4574895951527509,
              0.4574895951527367
            ],
            "shiftExpected": 0.45748959515273074,
            "shiftDefect": [
              2.015054789694659e-14,
              5.9396931817445875e-15
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.01808414549259396,
              0.018084145492608172
            ],
            "approximate": [
              41.797146551471336,
              47.427592055334564
            ],
            "approximateTV": [
              43.056212452567834,
              46.916643161099806
            ],
            "approximateDelta": [
              1.2590659010964984,
              -0.5109488942347582
            ],
            "approximateResidual": 1.2590659010964984,
            "approximateError": 0.8115491007025355,
            "approximateBound": 10.676288966747505,
            "pathDistance": 1.290242821208949,
            "pathBound": 9.817004161938899,
            "updateNoise": [
              0.5,
              -0.5
            ],
            "actualNextChange": 1.7590659010964984
          },
          {
            "k": 79,
            "value": [
              41.83048177241933,
              46.17830785937585
            ],
            "q": [
              [
                40.73895768379836,
                41.86939246640706
              ],
              [
                46.21721855336357,
                41.73895768379836
              ]
            ],
            "tv": [
              41.86939246640706,
              46.21721855336357
            ],
            "delta": [
              0.03891069398772373,
              0.03891069398772373
            ],
            "residual": 0.03891069398772373,
            "minDelta": 0.03891069398772373,
            "maxDelta": 0.03891069398772373,
            "spanDelta": 0,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 0,
            "error": 0.7782138797545386,
            "geometricBound": 0.816320564568176,
            "residualBound": 0.778213879754474,
            "lower": [
              42.60869565217381,
              46.956521739130324
            ],
            "upper": [
              42.60869565217381,
              46.956521739130324
            ],
            "policyLower": [
              42.60869565217381,
              46.956521739130324
            ],
            "optimalUpper": [
              42.60869565217381,
              46.956521739130324
            ],
            "certifiedStop": false,
            "shifted": [
              42.26509688781443,
              46.61292297477096
            ],
            "shiftDifference": [
              0.434615115395097,
              0.4346151153951112
            ],
            "shiftExpected": 0.4346151153950942,
            "shiftDefect": [
              2.831068712794149e-15,
              1.7041923427996153e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.017179938217978474,
              0.01717993821797137
            ],
            "approximate": [
              43.556212452567834,
              46.416643161099806
            ],
            "approximateTV": [
              42.37840182993944,
              47.00884733380267
            ],
            "approximateDelta": [
              -1.1778106226283924,
              0.5922041727028642
            ],
            "approximateResidual": 1.1778106226283924,
            "approximateError": 0.9475168003939629,
            "approximateBound": 10.64247451841013,
            "pathDistance": 1.7257306801485015,
            "pathBound": 9.826153953841954,
            "updateNoise": [
              -0.5,
              0.5
            ],
            "actualNextChange": 1.6778106226283924
          },
          {
            "k": 80,
            "value": [
              41.86939246640706,
              46.21721855336357
            ],
            "q": [
              [
                40.775922843086704,
                41.90635762569539
              ],
              [
                46.25418371265192,
                41.775922843086704
              ]
            ],
            "tv": [
              41.90635762569539,
              46.25418371265192
            ],
            "delta": [
              0.03696515928833577,
              0.03696515928834998
            ],
            "residual": 0.03696515928834998,
            "minDelta": 0.03696515928833577,
            "maxDelta": 0.03696515928834998,
            "spanDelta": 1.4210854715202004e-14,
            "policy": [
              1,
              0
            ],
            "policyValue": [
              42.60869565217387,
              46.956521739130395
            ],
            "policyLoss": 7.105427357601002e-15,
            "policyBound": 2.700062395888378e-13,
            "error": 0.7393031857668149,
            "geometricBound": 0.7755045363397673,
            "residualBound": 0.7393031857669989,
            "lower": [
              42.60869565217377,
              46.95652173913029
            ],
            "upper": [
              42.608695652174056,
              46.95652173913057
            ],
            "policyLower": [
              42.60869565217377,
              46.9565217391303
            ],
            "optimalUpper": [
              42.60869565217404,
              46.95652173913057
            ],
            "certifiedStop": false,
            "shifted": [
              42.28227682603241,
              46.63010291298893
            ],
            "shiftDifference": [
              0.41288435962535175,
              0.41288435962535885
            ],
            "shiftExpected": 0.4128843596253395,
            "shiftDefect": [
              1.226796442210798e-14,
              1.9373391779708982e-14
            ],
            "shiftPolicy": [
              1,
              0
            ],
            "shiftResidual": [
              0.016320941307071735,
              0.016320941307071735
            ],
            "approximate": [
              41.87840182993944,
              47.50884733380267
            ],
            "approximateTV": [
              43.13340496711253,
              46.993835675644505
            ],
            "approximateDelta": [
              1.255003137173091,
              -0.5150116581581656
            ],
            "approximateResidual": 1.255003137173091,
            "approximateError": 0.7302938222344295,
            "approximateBound": 10.610350792489623,
            "pathDistance": 1.2916287804390976,
            "pathBound": 9.834846256149856,
            "updateNoise": null,
            "actualNextChange": null
          }
        ],
        "scan": [
          {
            "gamma": 0,
            "value": [
              1,
              4
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 3,
            "horizon": 1
          },
          {
            "gamma": 0.01,
            "value": [
              1.0101010101010102,
              4.028209662012478
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9698189134808857,
            "horizon": 1.0101010101010102
          },
          {
            "gamma": 0.02,
            "value": [
              1.0204081632653061,
              4.056845410228869
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9392712550607287,
            "horizon": 1.0204081632653061
          },
          {
            "gamma": 0.03,
            "value": [
              1.0309278350515465,
              4.085917651752157
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.9083503054989817,
            "horizon": 1.0309278350515465
          },
          {
            "gamma": 0.04,
            "value": [
              1.0416666666666667,
              4.115437158469946
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8770491803278686,
            "horizon": 1.0416666666666667
          },
          {
            "gamma": 0.05,
            "value": [
              1.0526315789473684,
              4.145415084102008
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.8453608247422677,
            "horizon": 1.0526315789473684
          },
          {
            "gamma": 0.06,
            "value": [
              1.0638297872340425,
              4.175862982254789
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.813278008298755,
            "horizon": 1.0638297872340425
          },
          {
            "gamma": 0.07,
            "value": [
              1.0752688172043012,
              4.206792825555032
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.780793319415449,
            "horizon": 1.0752688172043012
          },
          {
            "gamma": 0.08,
            "value": [
              1.0869565217391304,
              4.238217025940811
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.7478991596638656,
            "horizon": 1.0869565217391304
          },
          {
            "gamma": 0.09,
            "value": [
              1.0989010989010988,
              4.270148456194968
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.714587737843552,
            "horizon": 1.0989010989010988
          },
          {
            "gamma": 0.1,
            "value": [
              1.1111111111111112,
              4.302600472813239
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6808510638297873,
            "horizon": 1.1111111111111112
          },
          {
            "gamma": 0.11,
            "value": [
              1.1235955056179776,
              4.335586940307485
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.646680942184154,
            "horizon": 1.1235955056179776
          },
          {
            "gamma": 0.12,
            "value": [
              1.1363636363636365,
              4.3691222570532915
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.6120689655172415,
            "horizon": 1.1363636363636365
          },
          {
            "gamma": 0.13,
            "value": [
              1.1494252873563218,
              4.403221382801007
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.577006507592191,
            "horizon": 1.1494252873563218
          },
          {
            "gamma": 0.14,
            "value": [
              1.1627906976744187,
              4.437899867980095
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.541484716157205,
            "horizon": 1.1627906976744187
          },
          {
            "gamma": 0.15,
            "value": [
              1.1764705882352942,
              4.47317388493859
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.5054945054945055,
            "horizon": 1.1764705882352942
          },
          {
            "gamma": 0.16,
            "value": [
              1.1904761904761905,
              4.5090602612726505
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.4690265486725664,
            "horizon": 1.1904761904761905
          },
          {
            "gamma": 0.17,
            "value": [
              1.2048192771084338,
              4.5455765154157834
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.432071269487751,
            "horizon": 1.2048192771084338
          },
          {
            "gamma": 0.18,
            "value": [
              1.2195121951219512,
              4.58274089467352
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3946188340807177,
            "horizon": 1.2195121951219512
          },
          {
            "gamma": 0.19,
            "value": [
              1.2345679012345678,
              4.6205724159072545
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.356659142212189,
            "horizon": 1.2345679012345678
          },
          {
            "gamma": 0.2,
            "value": [
              1.25,
              4.659090909090908
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.3181818181818183,
            "horizon": 1.25
          },
          {
            "gamma": 0.21,
            "value": [
              1.2658227848101264,
              4.698317063986328
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.279176201372998,
            "horizon": 1.2658227848101264
          },
          {
            "gamma": 0.22,
            "value": [
              1.282051282051282,
              4.738272480207963
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.2396313364055302,
            "horizon": 1.282051282051282
          },
          {
            "gamma": 0.23,
            "value": [
              1.2987012987012987,
              4.77897972097508
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.19953596287703,
            "horizon": 1.2987012987012987
          },
          {
            "gamma": 0.24,
            "value": [
              1.3157894736842106,
              4.820462370880473
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.158878504672897,
            "horizon": 1.3157894736842106
          },
          {
            "gamma": 0.25,
            "value": [
              1.3333333333333333,
              4.862745098039216
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.117647058823529,
            "horizon": 1.3333333333333333
          },
          {
            "gamma": 0.26,
            "value": [
              1.3513513513513513,
              4.905853721019598
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.075829383886256,
            "horizon": 1.3513513513513513
          },
          {
            "gamma": 0.27,
            "value": [
              1.36986301369863,
              4.949815281001733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 2.0334128878281623,
            "horizon": 1.36986301369863
          },
          {
            "gamma": 0.28,
            "value": [
              1.3888888888888888,
              4.99465811965812
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.990384615384615,
            "horizon": 1.3888888888888888
          },
          {
            "gamma": 0.29,
            "value": [
              1.4084507042253522,
              5.040411963305255
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.9467312348668282,
            "horizon": 1.4084507042253522
          },
          {
            "gamma": 0.3,
            "value": [
              1.4285714285714286,
              5.087108013937282
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.902439024390244,
            "horizon": 1.4285714285714286
          },
          {
            "gamma": 0.31,
            "value": [
              1.4492753623188408,
              5.134779047822526
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.8574938574938573,
            "horizon": 1.4492753623188408
          },
          {
            "gamma": 0.32,
            "value": [
              1.4705882352941178,
              5.18345952242283
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.811881188118812,
            "horizon": 1.4705882352941178
          },
          {
            "gamma": 0.33,
            "value": [
              1.492537313432836,
              5.233185692485204
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7655860349127186,
            "horizon": 1.492537313432836
          },
          {
            "gamma": 0.34,
            "value": [
              1.5151515151515154,
              5.283995736257043
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.7185929648241205,
            "horizon": 1.5151515151515154
          },
          {
            "gamma": 0.35,
            "value": [
              1.5384615384615383,
              5.335929892891918
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.6708860759493671,
            "horizon": 1.5384615384615383
          },
          {
            "gamma": 0.36,
            "value": [
              1.5625,
              5.389030612244897
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.622448979591837,
            "horizon": 1.5625
          },
          {
            "gamma": 0.37,
            "value": [
              1.5873015873015872,
              5.443342718406986
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5732647814910024,
            "horizon": 1.5873015873015872
          },
          {
            "gamma": 0.38,
            "value": [
              1.6129032258064517,
              5.498913588500752
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.5233160621761659,
            "horizon": 1.6129032258064517
          },
          {
            "gamma": 0.39,
            "value": [
              1.639344262295082,
              5.555793348456962
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4725848563968666,
            "horizon": 1.639344262295082
          },
          {
            "gamma": 0.4,
            "value": [
              1.6666666666666667,
              5.614035087719298
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.4210526315789476,
            "horizon": 1.6666666666666667
          },
          {
            "gamma": 0.41,
            "value": [
              1.6949152542372878,
              5.673695095086094
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3687002652519897,
            "horizon": 1.6949152542372878
          },
          {
            "gamma": 0.42,
            "value": [
              1.7241379310344827,
              5.7348331182002585
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.3155080213903743,
            "horizon": 1.7241379310344827
          },
          {
            "gamma": 0.43,
            "value": [
              1.7543859649122806,
              5.797512649548399
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.261455525606469,
            "horizon": 1.7543859649122806
          },
          {
            "gamma": 0.44,
            "value": [
              1.7857142857142856,
              5.861801242236025
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.2065217391304346,
            "horizon": 1.7857142857142856
          },
          {
            "gamma": 0.45,
            "value": [
              1.8181818181818181,
              5.927770859277708
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.1506849315068493,
            "horizon": 1.8181818181818181
          },
          {
            "gamma": 0.46,
            "value": [
              1.8518518518518516,
              5.995498260691631
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.0939226519337009,
            "horizon": 1.8518518518518516
          },
          {
            "gamma": 0.47,
            "value": [
              1.8867924528301885,
              6.065065433331582
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 1.036211699164345,
            "horizon": 1.8867924528301885
          },
          {
            "gamma": 0.48,
            "value": [
              1.923076923076923,
              6.136560069144339
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.97752808988764,
            "horizon": 1.923076923076923
          },
          {
            "gamma": 0.49,
            "value": [
              1.9607843137254901,
              6.210076098428041
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.9178470254957503,
            "horizon": 1.9607843137254901
          },
          {
            "gamma": 0.5,
            "value": [
              2,
              6.2857142857142865
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.8571428571428568,
            "horizon": 2
          },
          {
            "gamma": 0.51,
            "value": [
              2.0408163265306123,
              6.3635828971357995
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7953890489913547,
            "horizon": 2.0408163265306123
          },
          {
            "gamma": 0.52,
            "value": [
              2.0833333333333335,
              6.443798449612404
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.7325581395348832,
            "horizon": 2.0833333333333335
          },
          {
            "gamma": 0.53,
            "value": [
              2.127659574468085,
              6.526486553940226
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6686217008797648,
            "horizon": 2.127659574468085
          },
          {
            "gamma": 0.54,
            "value": [
              2.173913043478261,
              6.611782865963469
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.6035502958579877,
            "horizon": 2.173913043478261
          },
          {
            "gamma": 0.55,
            "value": [
              2.2222222222222223,
              6.69983416252073
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.5373134328358202,
            "horizon": 2.2222222222222223
          },
          {
            "gamma": 0.56,
            "value": [
              2.272727272727273,
              6.790799561883901
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.4698795180722879,
            "horizon": 2.272727272727273
          },
          {
            "gamma": 0.57,
            "value": [
              2.325581395348837,
              6.8848519120661615
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.401215805471125,
            "horizon": 2.325581395348837
          },
          {
            "gamma": 0.58,
            "value": [
              2.380952380952381,
              6.982179374817411
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.3312883435582825,
            "horizon": 2.380952380952381
          },
          {
            "gamma": 0.59,
            "value": [
              2.4390243902439024,
              7.082987238541115
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.26006191950464475,
            "horizon": 2.4390243902439024
          },
          {
            "gamma": 0.6,
            "value": [
              2.5,
              7.187499999999999
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.1875000000000009,
            "horizon": 2.5
          },
          {
            "gamma": 0.61,
            "value": [
              2.564102564102564,
              7.295963762840733
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.11356466876971627,
            "horizon": 2.564102564102564
          },
          {
            "gamma": 0.62,
            "value": [
              2.6315789473684212,
              7.408649011062689
            ],
            "policy": [
              0,
              0
            ],
            "campTie": false,
            "campGap": 0.03821656050955369,
            "horizon": 2.6315789473684212
          },
          {
            "gamma": 0.625,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "policy": [
              0,
              0
            ],
            "campTie": true,
            "campGap": -4.440892098500626e-16,
            "horizon": 2.6666666666666665
          },
          {
            "gamma": 0.63,
            "value": [
              2.754511700198601,
              7.546843968569209
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0191693290734829,
            "horizon": 2.7027027027027026
          },
          {
            "gamma": 0.64,
            "value": [
              2.937013446567587,
              7.714083510261855
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.05732484076433142,
            "horizon": 2.7777777777777777
          },
          {
            "gamma": 0.65,
            "value": [
              3.129251700680274,
              7.891156462585035
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.0952380952380949,
            "horizon": 2.857142857142857
          },
          {
            "gamma": 0.66,
            "value": [
              3.3320923306031274,
              8.078927773641102
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1329113924050631,
            "horizon": 2.9411764705882355
          },
          {
            "gamma": 0.67,
            "value": [
              3.5465060701653774,
              8.278367268903548
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.1703470031545744,
            "horizon": 3.0303030303030307
          },
          {
            "gamma": 0.68,
            "value": [
              3.773584905660378,
              8.490566037735851
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.20754716981132226,
            "horizon": 3.1250000000000004
          },
          {
            "gamma": 0.69,
            "value": [
              4.014561634138941,
              8.716755991505714
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2445141065830727,
            "horizon": 3.2258064516129026
          },
          {
            "gamma": 0.7,
            "value": [
              4.270833333333332,
              8.95833333333333
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.2812499999999991,
            "horizon": 3.333333333333333
          },
          {
            "gamma": 0.71,
            "value": [
              4.543989687399291,
              9.216886883660973
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.31775700934579376,
            "horizon": 3.4482758620689653
          },
          {
            "gamma": 0.72,
            "value": [
              4.835847382431233,
              9.494232475598935
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.354037267080745,
            "horizon": 3.571428571428571
          },
          {
            "gamma": 0.73,
            "value": [
              5.14849214539617,
              9.792454993693381
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.39009287925696423,
            "horizon": 3.7037037037037033
          },
          {
            "gamma": 0.74,
            "value": [
              5.484330484330483,
              10.113960113960113
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.4259259259259256,
            "horizon": 3.846153846153846
          },
          {
            "gamma": 0.75,
            "value": [
              5.846153846153846,
              10.461538461538462
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.46153846153846256,
            "horizon": 4
          },
          {
            "gamma": 0.76,
            "value": [
              6.237218813905932,
              10.838445807770963
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.49693251533742266,
            "horizon": 4.166666666666667
          },
          {
            "gamma": 0.77,
            "value": [
              6.661348224970084,
              11.248504188272838
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.532110091743121,
            "horizon": 4.347826086956522
          },
          {
            "gamma": 0.78,
            "value": [
              7.123059866962307,
              11.696230598669622
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.5670731707317067,
            "horizon": 4.545454545454546
          },
          {
            "gamma": 0.79,
            "value": [
              7.6277319438413675,
              12.187002460558695
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6018237082066893,
            "horizon": 4.761904761904763
          },
          {
            "gamma": 0.8,
            "value": [
              8.181818181818185,
              12.727272727272732
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6363636363636385,
            "horizon": 5.000000000000001
          },
          {
            "gamma": 0.81,
            "value": [
              8.793130863412312,
              13.324852917792974
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.6706948640483379,
            "horizon": 5.263157894736843
          },
          {
            "gamma": 0.82,
            "value": [
              9.471218206157964,
              13.989290495314588
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7048192771084327,
            "horizon": 5.5555555555555545
          },
          {
            "gamma": 0.83,
            "value": [
              10.227874933757283,
              14.732379438261788
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7387387387387392,
            "horizon": 5.882352941176469
          },
          {
            "gamma": 0.84,
            "value": [
              11.077844311377243,
              15.5688622754491
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.7724550898203599,
            "horizon": 6.249999999999999
          },
          {
            "gamma": 0.85,
            "value": [
              12.039800995024873,
              16.51741293532338
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8059701492537332,
            "horizon": 6.666666666666666
          },
          {
            "gamma": 0.86,
            "value": [
              13.137755102040815,
              17.60204081632653
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8392857142857135,
            "horizon": 7.142857142857142
          },
          {
            "gamma": 0.87,
            "value": [
              14.403104314083542,
              18.854142889751195
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.8724035608308576,
            "horizon": 7.692307692307692
          },
          {
            "gamma": 0.88,
            "value": [
              15.877712031558186,
              20.315581854043394
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9053254437869818,
            "horizon": 8.333333333333334
          },
          {
            "gamma": 0.89,
            "value": [
              17.618664521319392,
              22.04344328238134
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.9380530973451329,
            "horizon": 9.090909090909092
          },
          {
            "gamma": 0.9,
            "value": [
              19.705882352941185,
              24.117647058823533
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -0.970588235294116,
            "horizon": 10.000000000000002
          },
          {
            "gamma": 0.91,
            "value": [
              22.254806125773875,
              26.653633105246016
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.002932551319649,
            "horizon": 11.111111111111114
          },
          {
            "gamma": 0.92,
            "value": [
              25.438596491228086,
              29.82456140350879
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0350877192982466,
            "horizon": 12.500000000000007
          },
          {
            "gamma": 0.93,
            "value": [
              29.52936276551439,
              33.90254060807999
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0670553935860099,
            "horizon": 14.285714285714295
          },
          {
            "gamma": 0.94,
            "value": [
              34.98062015503873,
              39.3410852713178
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.0988372093023244,
            "horizon": 16.666666666666654
          },
          {
            "gamma": 0.95,
            "value": [
              42.60869565217387,
              46.95652173913039
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1304347826086882,
            "horizon": 19.999999999999982
          },
          {
            "gamma": 0.96,
            "value": [
              54.04624277456642,
              58.38150289017335
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1618497109826507,
            "horizon": 24.99999999999998
          },
          {
            "gamma": 0.97,
            "value": [
              73.102785782901,
              77.42555235350619
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.1930835734870442,
            "horizon": 33.33333333333331
          },
          {
            "gamma": 0.98,
            "value": [
              111.20689655172404,
              115.51724137931022
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2241379310344485,
            "horizon": 49.99999999999996
          },
          {
            "gamma": 0.99,
            "value": [
              225.5014326647562,
              229.79942693409717
            ],
            "policy": [
              1,
              0
            ],
            "campTie": false,
            "campGap": -1.2550143266475686,
            "horizon": 99.99999999999991
          },
          {
            "gamma": 1,
            "value": null,
            "policy": null,
            "campTie": false,
            "campGap": null,
            "horizon": null
          }
        ],
        "scope": "已知有限模型的确定性演示。数学界在实数算术下成立；此处为普通双精度读数，未做向外舍入区间认证。γ=1仅报告有限轮，不给无限时域价值或收敛证书。并列时确定性选第一动作，原始动作差保留。"
      }
    }
  ]
}
