{
  "version": 179,
  "provenance": {
    "source": "course-shared/labs/mdp-iteration.js",
    "sourceSha256": "cf005e3cc969d171d3db73eca9119c1f0247fd47f7a11b67fbdfad4f6858278e",
    "method": "Complete finite VI, PI evaluations, independent value-LP intersections and occupation/budget dual ledgers; no sampled trajectories"
  },
  "records": [
    {
      "key": "budget",
      "data": {
        "version": 179,
        "parameters": {
          "gamma": 0.8,
          "steps": 30,
          "camp": 0,
          "mine": 0,
          "piCamp": 0,
          "piMine": 1,
          "muCamp": 0.5,
          "budget": 1
        },
        "mu": [
          0.5,
          0.5
        ],
        "constraints": [
          {
            "state": 0,
            "action": 0,
            "A": [
              0.19999999999999996,
              0
            ],
            "r": 1,
            "travel": 0
          },
          {
            "state": 0,
            "action": 1,
            "A": [
              1,
              -0.8
            ],
            "r": -2,
            "travel": 1
          },
          {
            "state": 1,
            "action": 0,
            "A": [
              -0.32000000000000006,
              0.52
            ],
            "r": 4,
            "travel": 0
          },
          {
            "state": 1,
            "action": 1,
            "A": [
              -0.8,
              1
            ],
            "r": 2,
            "travel": 0
          }
        ],
        "vi": {
          "rows": [
            {
              "k": 0,
              "value": [
                0,
                0
              ],
              "q": [
                [
                  1,
                  -2
                ],
                [
                  4,
                  2
                ]
              ],
              "tv": [
                1,
                4
              ],
              "residual": 4,
              "residualBound": 20.000000000000004
            },
            {
              "k": 1,
              "value": [
                1,
                4
              ],
              "q": [
                [
                  1.8,
                  1.2000000000000002
                ],
                [
                  6.24,
                  2.8
                ]
              ],
              "tv": [
                1.8,
                6.24
              ],
              "residual": 2.24,
              "residualBound": 11.200000000000003
            },
            {
              "k": 2,
              "value": [
                1.8,
                6.24
              ],
              "q": [
                [
                  2.4400000000000004,
                  2.992000000000001
                ],
                [
                  7.571199999999999,
                  3.4400000000000004
                ]
              ],
              "tv": [
                2.992000000000001,
                7.571199999999999
              ],
              "residual": 1.331199999999999,
              "residualBound": 6.655999999999997
            },
            {
              "k": 3,
              "value": [
                2.992000000000001,
                7.571199999999999
              ],
              "q": [
                [
                  3.3936000000000006,
                  4.05696
                ],
                [
                  8.591616,
                  4.393600000000001
                ]
              ],
              "tv": [
                4.05696,
                8.591616
              ],
              "residual": 1.0649599999999992,
              "residualBound": 5.324799999999997
            },
            {
              "k": 4,
              "value": [
                4.05696,
                8.591616
              ],
              "q": [
                [
                  4.2455680000000005,
                  4.873292800000001
                ],
                [
                  9.42220288,
                  5.2455680000000005
                ]
              ],
              "tv": [
                4.873292800000001,
                9.42220288
              ],
              "residual": 0.8305868800000002,
              "residualBound": 4.152934400000002
            },
            {
              "k": 5,
              "value": [
                4.873292800000001,
                9.42220288
              ],
              "q": [
                [
                  4.898634240000001,
                  5.537762304000001
                ],
                [
                  10.0821110784,
                  5.898634240000001
                ]
              ],
              "tv": [
                5.537762304000001,
                10.0821110784
              ],
              "residual": 0.6644695040000004,
              "residualBound": 3.3223475200000028
            },
            {
              "k": 6,
              "value": [
                5.537762304000001,
                10.0821110784
              ],
              "q": [
                [
                  5.430209843200001,
                  6.06568886272
                ],
                [
                  10.611497254912003,
                  6.430209843200001
                ]
              ],
              "tv": [
                6.06568886272,
                10.611497254912003
              ],
              "residual": 0.529386176512002,
              "residualBound": 2.6469308825600106
            },
            {
              "k": 7,
              "value": [
                6.06568886272,
                10.611497254912003
              ],
              "q": [
                [
                  5.852551090176,
                  6.489197803929603
                ],
                [
                  11.03453911842816,
                  6.852551090176
                ]
              ],
              "tv": [
                6.489197803929603,
                11.03453911842816
              ],
              "residual": 0.4235089412096027,
              "residualBound": 2.117544706048014
            },
            {
              "k": 8,
              "value": [
                6.489197803929603,
                11.03453911842816
              ],
              "q": [
                [
                  6.191358243143682,
                  6.827631294742529
                ],
                [
                  11.373122074102989,
                  7.191358243143682
                ]
              ],
              "tv": [
                6.827631294742529,
                11.373122074102989
              ],
              "residual": 0.33858295567482877,
              "residualBound": 1.6929147783741443
            },
            {
              "k": 9,
              "value": [
                6.827631294742529,
                11.373122074102989
              ],
              "q": [
                [
                  6.462105035794024,
                  7.098497659282392
                ],
                [
                  11.643940609887043,
                  7.462105035794024
                ]
              ],
              "tv": [
                7.098497659282392,
                11.643940609887043
              ],
              "residual": 0.270866364539863,
              "residualBound": 1.3543318226993153
            },
            {
              "k": 10,
              "value": [
                7.098497659282392,
                11.643940609887043
              ],
              "q": [
                [
                  6.678798127425914,
                  7.315152487909634
                ],
                [
                  11.860610743716146,
                  7.678798127425914
                ]
              ],
              "tv": [
                7.315152487909634,
                11.860610743716146
              ],
              "residual": 0.21667013382910305,
              "residualBound": 1.0833506691455155
            },
            {
              "k": 11,
              "value": [
                7.315152487909634,
                11.860610743716146
              ],
              "q": [
                [
                  6.852121990327707,
                  7.488488594972917
                ],
                [
                  12.033941953114832,
                  7.852121990327707
                ]
              ],
              "tv": [
                7.488488594972917,
                12.033941953114832
              ],
              "residual": 0.1733361070632835,
              "residualBound": 0.8666805353164178
            },
            {
              "k": 12,
              "value": [
                7.488488594972917,
                12.033941953114832
              ],
              "q": [
                [
                  6.990790875978334,
                  7.627153562491866
                ],
                [
                  12.172608487886453,
                  7.990790875978334
                ]
              ],
              "tv": [
                7.627153562491866,
                12.172608487886453
              ],
              "residual": 0.13866653477162139,
              "residualBound": 0.693332673858107
            },
            {
              "k": 13,
              "value": [
                7.627153562491866,
                12.172608487886453
              ],
              "q": [
                [
                  7.101722849993493,
                  7.738086790309163
                ],
                [
                  12.283541214182895,
                  8.101722849993493
                ]
              ],
              "tv": [
                7.738086790309163,
                12.283541214182895
              ],
              "residual": 0.11093322781729675,
              "residualBound": 0.5546661390864839
            },
            {
              "k": 14,
              "value": [
                7.738086790309163,
                12.283541214182895
              ],
              "q": [
                [
                  7.190469432247331,
                  7.826832971346317
                ],
                [
                  12.372287555706722,
                  8.19046943224733
                ]
              ],
              "tv": [
                7.826832971346317,
                12.372287555706722
              ],
              "residual": 0.08874634152382654,
              "residualBound": 0.44373170761913283
            },
            {
              "k": 15,
              "value": [
                7.826832971346317,
                12.372287555706722
              ],
              "q": [
                [
                  7.261466377077054,
                  7.897830044565378
                ],
                [
                  12.443284577570047,
                  8.261466377077053
                ]
              ],
              "tv": [
                7.897830044565378,
                12.443284577570047
              ],
              "residual": 0.07099707321906124,
              "residualBound": 0.35498536609530623
            },
            {
              "k": 16,
              "value": [
                7.897830044565378,
                12.443284577570047
              ],
              "q": [
                [
                  7.3182640356523025,
                  7.954627662056039
                ],
                [
                  12.500082211494544,
                  8.318264035652302
                ]
              ],
              "tv": [
                7.954627662056039,
                12.500082211494544
              ],
              "residual": 0.05679763392449644,
              "residualBound": 0.28398816962248224
            },
            {
              "k": 17,
              "value": [
                7.954627662056039,
                12.500082211494544
              ],
              "q": [
                [
                  7.363702129644832,
                  8.000065769195636
                ],
                [
                  12.545520313375313,
                  8.363702129644832
                ]
              ],
              "tv": [
                8.000065769195636,
                12.545520313375313
              ],
              "residual": 0.045438107139597506,
              "residualBound": 0.22719053569798758
            },
            {
              "k": 18,
              "value": [
                8.000065769195636,
                12.545520313375313
              ],
              "q": [
                [
                  7.400052615356509,
                  8.03641625070025
                ],
                [
                  12.581870796562754,
                  8.40005261535651
                ]
              ],
              "tv": [
                8.03641625070025,
                12.581870796562754
              ],
              "residual": 0.03635048318744083,
              "residualBound": 0.18175241593720418
            },
            {
              "k": 19,
              "value": [
                8.03641625070025,
                12.581870796562754
              ],
              "q": [
                [
                  7.429133000560201,
                  8.065496637250204
                ],
                [
                  12.610951182574203,
                  8.429133000560201
                ]
              ],
              "tv": [
                8.065496637250204,
                12.610951182574203
              ],
              "residual": 0.029080386549953374,
              "residualBound": 0.1454019327497669
            },
            {
              "k": 20,
              "value": [
                8.065496637250204,
                12.610951182574203
              ],
              "q": [
                [
                  7.452397309800164,
                  8.088760946059363
                ],
                [
                  12.634215491555683,
                  8.452397309800164
                ]
              ],
              "tv": [
                8.088760946059363,
                12.634215491555683
              ],
              "residual": 0.023264308981479687,
              "residualBound": 0.11632154490739846
            },
            {
              "k": 21,
              "value": [
                8.088760946059363,
                12.634215491555683
              ],
              "q": [
                [
                  7.471008756847491,
                  8.107372393244546
                ],
                [
                  12.652826938685724,
                  8.47100875684749
                ]
              ],
              "tv": [
                8.107372393244546,
                12.652826938685724
              ],
              "residual": 0.01861144718518304,
              "residualBound": 0.09305723592591521
            },
            {
              "k": 22,
              "value": [
                8.107372393244546,
                12.652826938685724
              ],
              "q": [
                [
                  7.485897914595637,
                  8.12226155094858
                ],
                [
                  12.667716096407402,
                  8.485897914595636
                ]
              ],
              "tv": [
                8.12226155094858,
                12.667716096407402
              ],
              "residual": 0.014889157721677648,
              "residualBound": 0.07444578860838826
            },
            {
              "k": 23,
              "value": [
                8.12226155094858,
                12.667716096407402
              ],
              "q": [
                [
                  7.497809240758864,
                  8.134172877125922
                ],
                [
                  12.679627422579099,
                  8.497809240758864
                ]
              ],
              "tv": [
                8.134172877125922,
                12.679627422579099
              ],
              "residual": 0.011911326177342474,
              "residualBound": 0.05955663088671238
            },
            {
              "k": 24,
              "value": [
                8.134172877125922,
                12.679627422579099
              ],
              "q": [
                [
                  7.507338301700738,
                  8.14370193806328
                ],
                [
                  12.689156483518262,
                  8.507338301700738
                ]
              ],
              "tv": [
                8.14370193806328,
                12.689156483518262
              ],
              "residual": 0.009529060939163614,
              "residualBound": 0.04764530469581808
            },
            {
              "k": 25,
              "value": [
                8.14370193806328,
                12.689156483518262
              ],
              "q": [
                [
                  7.514961550450625,
                  8.15132518681461
                ],
                [
                  12.696779732269016,
                  8.514961550450625
                ]
              ],
              "tv": [
                8.15132518681461,
                12.696779732269016
              ],
              "residual": 0.00762324875132947,
              "residualBound": 0.03811624375664736
            },
            {
              "k": 26,
              "value": [
                8.15132518681461,
                12.696779732269016
              ],
              "q": [
                [
                  7.521060149451689,
                  8.157423785815213
                ],
                [
                  12.702878331269805,
                  8.521060149451689
                ]
              ],
              "tv": [
                8.157423785815213,
                12.702878331269805
              ],
              "residual": 0.006098599000788241,
              "residualBound": 0.03049299500394121
            },
            {
              "k": 27,
              "value": [
                8.157423785815213,
                12.702878331269805
              ],
              "q": [
                [
                  7.5259390286521715,
                  8.162302665015844
                ],
                [
                  12.707757210470374,
                  8.525939028652171
                ]
              ],
              "tv": [
                8.162302665015844,
                12.707757210470374
              ],
              "residual": 0.004878879200630237,
              "residualBound": 0.024394396003151193
            },
            {
              "k": 28,
              "value": [
                8.162302665015844,
                12.707757210470374
              ],
              "q": [
                [
                  7.529842132012675,
                  8.166205768376301
                ],
                [
                  12.71166031383085,
                  8.529842132012675
                ]
              ],
              "tv": [
                8.166205768376301,
                12.71166031383085
              ],
              "residual": 0.0039031033604750576,
              "residualBound": 0.01951551680237529
            },
            {
              "k": 29,
              "value": [
                8.166205768376301,
                12.71166031383085
              ],
              "q": [
                [
                  7.532964614701041,
                  8.16932825106468
                ],
                [
                  12.714782796519223,
                  8.53296461470104
                ]
              ],
              "tv": [
                8.16932825106468,
                12.714782796519223
              ],
              "residual": 0.0031224826883793355,
              "residualBound": 0.015612413441896681
            },
            {
              "k": 30,
              "value": [
                8.16932825106468,
                12.714782796519223
              ],
              "q": [
                [
                  7.535462600851744,
                  8.17182623721538
                ],
                [
                  12.717280782669926,
                  8.535462600851744
                ]
              ],
              "tv": [
                8.17182623721538,
                12.717280782669926
              ],
              "residual": 0.0024979861507024026,
              "residualBound": 0.012489930753512016
            }
          ],
          "finalValue": [
            8.16932825106468,
            12.714782796519223
          ]
        },
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  0
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.10399999999999998,
              "value": [
                5.000000000000001,
                10.76923076923077
              ]
            },
            "value": [
              5.000000000000001,
              10.76923076923077
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  0
                ],
                [
                  -0.8,
                  1
                ]
              ],
              "right": [
                1,
                2
              ],
              "det": 0.19999999999999996,
              "value": [
                5.000000000000001,
                6.000000000000001
              ]
            },
            "value": [
              5.000000000000001,
              6.000000000000001
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.26399999999999996,
              "value": [
                8.181818181818183,
                12.727272727272728
              ]
            },
            "value": [
              8.181818181818183,
              12.727272727272728
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.8,
                  1
                ]
              ],
              "right": [
                -2,
                2
              ],
              "det": 0.3599999999999999,
              "value": [
                -1.1111111111111112,
                1.1111111111111112
              ]
            },
            "value": [
              -1.1111111111111112,
              1.1111111111111112
            ]
          }
        ],
        "pi": {
          "rows": [
            {
              "k": 0,
              "policy": [
                0,
                1
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  1,
                  0
                ]
              ],
              "r": [
                1,
                2
              ],
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.19999999999999996,
                "value": [
                  5.000000000000001,
                  6.000000000000001
                ]
              },
              "value": [
                5.000000000000001,
                6.000000000000001
              ],
              "q": [
                [
                  5.000000000000001,
                  2.8000000000000007
                ],
                [
                  8.48,
                  6.000000000000001
                ]
              ],
              "tolerance": 1.20508047984913e-13,
              "improved": [
                0,
                0
              ],
              "advantage": [
                0,
                2.4799999999999995
              ],
              "stable": false
            },
            {
              "k": 1,
              "policy": [
                0,
                0
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                1,
                4
              ],
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.10399999999999998,
                "value": [
                  5.000000000000001,
                  10.76923076923077
                ]
              },
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "q": [
                [
                  5.000000000000001,
                  6.615384615384617
                ],
                [
                  10.76923076923077,
                  6.000000000000001
                ]
              ],
              "tolerance": 1.530399738560216e-13,
              "improved": [
                1,
                0
              ],
              "advantage": [
                1.6153846153846159,
                0
              ],
              "stable": false
            },
            {
              "k": 2,
              "policy": [
                1,
                0
              ],
              "P": [
                [
                  0,
                  1
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                -2,
                4
              ],
              "system": {
                "matrix": [
                  [
                    1,
                    -0.8
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.26399999999999996,
                "value": [
                  8.181818181818183,
                  12.727272727272728
                ]
              },
              "value": [
                8.181818181818183,
                12.727272727272728
              ],
              "q": [
                [
                  7.545454545454547,
                  8.181818181818183
                ],
                [
                  12.727272727272728,
                  8.545454545454547
                ]
              ],
              "tolerance": 1.8086542364802552e-13,
              "improved": [
                1,
                0
              ],
              "advantage": [
                0,
                0
              ],
              "stable": true
            }
          ],
          "finalPolicy": [
            1,
            0
          ],
          "finalValue": [
            8.181818181818183,
            12.727272727272728
          ]
        },
        "lp": {
          "vertices": [
            {
              "i": 0,
              "j": 1,
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    1,
                    -0.8
                  ]
                ],
                "right": [
                  1,
                  -2
                ],
                "det": -0.15999999999999998,
                "value": [
                  5.000000000000001,
                  8.75
                ]
              },
              "value": [
                5.000000000000001,
                8.75
              ],
              "slacks": [
                0,
                8.881784197001252e-16,
                -1.0500000000000007,
                2.749999999999999
              ],
              "tolerance": 8.75e-9,
              "feasible": false,
              "objective": 6.875
            },
            {
              "i": 0,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.10399999999999998,
                "value": [
                  5.000000000000001,
                  10.76923076923077
                ]
              },
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "slacks": [
                0,
                -1.6153846153846159,
                0,
                4.769230769230769
              ],
              "tolerance": 1.076923076923077e-8,
              "feasible": false,
              "objective": 7.884615384615385
            },
            {
              "i": 0,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.19999999999999996,
                "value": [
                  5.000000000000001,
                  6.000000000000001
                ]
              },
              "value": [
                5.000000000000001,
                6.000000000000001
              ],
              "slacks": [
                0,
                2.2,
                -2.48,
                0
              ],
              "tolerance": 6.000000000000002e-9,
              "feasible": false,
              "objective": 5.500000000000001
            },
            {
              "i": 1,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.8
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.26399999999999996,
                "value": [
                  8.181818181818183,
                  12.727272727272728
                ]
              },
              "value": [
                8.181818181818183,
                12.727272727272728
              ],
              "slacks": [
                0.6363636363636362,
                0,
                0,
                4.181818181818182
              ],
              "tolerance": 1.2727272727272728e-8,
              "feasible": true,
              "objective": 10.454545454545457
            },
            {
              "i": 1,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.8
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  -2,
                  2
                ],
                "det": 0.3599999999999999,
                "value": [
                  -1.1111111111111112,
                  1.1111111111111112
                ]
              },
              "value": [
                -1.1111111111111112,
                1.1111111111111112
              ],
              "slacks": [
                -1.222222222222222,
                0,
                -3.0666666666666664,
                0
              ],
              "tolerance": 1.1111111111111113e-9,
              "feasible": false,
              "objective": 0
            },
            {
              "i": 2,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    -0.32000000000000006,
                    0.52
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  4,
                  2
                ],
                "det": 0.09599999999999997,
                "value": [
                  30.833333333333343,
                  26.666666666666675
                ]
              },
              "value": [
                30.833333333333343,
                26.666666666666675
              ],
              "slacks": [
                5.166666666666667,
                11.5,
                -1.7763568394002505e-15,
                0
              ],
              "tolerance": 3.0833333333333345e-8,
              "feasible": true,
              "objective": 28.750000000000007
            }
          ],
          "best": {
            "i": 1,
            "j": 2,
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.26399999999999996,
              "value": [
                8.181818181818183,
                12.727272727272728
              ]
            },
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "slacks": [
              0.6363636363636362,
              0,
              0,
              4.181818181818182
            ],
            "tolerance": 1.2727272727272728e-8,
            "feasible": true,
            "objective": 10.454545454545457
          },
          "dual": {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.32000000000000006
                ],
                [
                  -0.8,
                  0.52
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.26399999999999996,
              "value": [
                1.5909090909090913,
                3.4090909090909096
              ]
            },
            "z": [
              1.5909090909090913,
              3.4090909090909096
            ],
            "x": [
              [
                0,
                1.5909090909090913
              ],
              [
                3.4090909090909096,
                0
              ]
            ],
            "flow": [
              0,
              -4.440892098500626e-16
            ],
            "total": 5.000000000000001,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "weightedValue": 10.454545454545457
          },
          "gap": 0,
          "complementarity": [
            0,
            0,
            0,
            0
          ],
          "complementaritySum": 0
        },
        "occupancies": [
          {
            "policy": [
              0,
              0
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  -0.32000000000000006
                ],
                [
                  0,
                  0.52
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.10399999999999998,
              "value": [
                4.038461538461539,
                0.9615384615384615
              ]
            },
            "z": [
              4.038461538461539,
              0.9615384615384615
            ],
            "x": [
              [
                4.038461538461539,
                0
              ],
              [
                0.9615384615384615,
                0
              ]
            ],
            "flow": [
              4.440892098500626e-16,
              -5.551115123125783e-17
            ],
            "total": 5.000000000000001,
            "reward": 7.884615384615385,
            "travel": 0,
            "value": [
              5.000000000000001,
              10.76923076923077
            ],
            "weightedValue": 7.884615384615385
          },
          {
            "policy": [
              0,
              1
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  -0.8
                ],
                [
                  0,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.19999999999999996,
              "value": [
                4.500000000000001,
                0.5
              ]
            },
            "z": [
              4.500000000000001,
              0.5
            ],
            "x": [
              [
                4.500000000000001,
                0
              ],
              [
                0,
                0.5
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 5.000000000000001,
            "reward": 5.500000000000001,
            "travel": 0,
            "value": [
              5.000000000000001,
              6.000000000000001
            ],
            "weightedValue": 5.500000000000001
          },
          {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.32000000000000006
                ],
                [
                  -0.8,
                  0.52
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.26399999999999996,
              "value": [
                1.5909090909090913,
                3.4090909090909096
              ]
            },
            "z": [
              1.5909090909090913,
              3.4090909090909096
            ],
            "x": [
              [
                0,
                1.5909090909090913
              ],
              [
                3.4090909090909096,
                0
              ]
            ],
            "flow": [
              0,
              -4.440892098500626e-16
            ],
            "total": 5.000000000000001,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "weightedValue": 10.454545454545457
          },
          {
            "policy": [
              1,
              1
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.8,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.3599999999999999,
              "value": [
                2.500000000000001,
                2.500000000000001
              ]
            },
            "z": [
              2.500000000000001,
              2.500000000000001
            ],
            "x": [
              [
                0,
                2.500000000000001
              ],
              [
                0,
                2.500000000000001
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 5.000000000000002,
            "reward": 0,
            "travel": 2.500000000000001,
            "value": [
              -1.1111111111111112,
              1.1111111111111112
            ],
            "weightedValue": 0
          }
        ],
        "constrained": {
          "budget": 1,
          "candidates": [
            {
              "i": 0,
              "j": 0,
              "lambda": 1,
              "x": [
                [
                  4.038461538461539,
                  0
                ],
                [
                  0.9615384615384615,
                  0
                ]
              ],
              "travel": 0,
              "reward": 7.884615384615385,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 1,
              "j": 1,
              "lambda": 1,
              "x": [
                [
                  4.500000000000001,
                  0
                ],
                [
                  0,
                  0.5
                ]
              ],
              "travel": 0,
              "reward": 5.500000000000001,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 2,
              "j": 2,
              "lambda": 1,
              "x": [
                [
                  0,
                  1.5909090909090913
                ],
                [
                  3.4090909090909096,
                  0
                ]
              ],
              "travel": 1.5909090909090913,
              "reward": 10.454545454545457,
              "budgetSlack": -0.5909090909090913,
              "feasible": false
            },
            {
              "i": 3,
              "j": 3,
              "lambda": 1,
              "x": [
                [
                  0,
                  2.500000000000001
                ],
                [
                  0,
                  2.500000000000001
                ]
              ],
              "travel": 2.500000000000001,
              "reward": 0,
              "budgetSlack": -1.5000000000000009,
              "feasible": false
            },
            {
              "i": 0,
              "j": 2,
              "lambda": 0.37142857142857155,
              "x": [
                [
                  1.5000000000000009,
                  1
                ],
                [
                  2.5,
                  0
                ]
              ],
              "travel": 1,
              "reward": 9.5,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 0,
              "j": 3,
              "lambda": 0.6000000000000001,
              "x": [
                [
                  2.423076923076924,
                  1.0000000000000002
                ],
                [
                  0.576923076923077,
                  1.0000000000000002
                ]
              ],
              "travel": 1.0000000000000002,
              "reward": 4.730769230769232,
              "budgetSlack": -2.220446049250313e-16,
              "feasible": true
            },
            {
              "i": 1,
              "j": 2,
              "lambda": 0.37142857142857155,
              "x": [
                [
                  1.6714285714285724,
                  1
                ],
                [
                  2.142857142857143,
                  0.18571428571428578
                ]
              ],
              "travel": 1,
              "reward": 8.614285714285716,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 1,
              "j": 3,
              "lambda": 0.6000000000000001,
              "x": [
                [
                  2.700000000000001,
                  1.0000000000000002
                ],
                [
                  0,
                  1.3000000000000003
                ]
              ],
              "travel": 1.0000000000000002,
              "reward": 3.300000000000001,
              "budgetSlack": -2.220446049250313e-16,
              "feasible": true
            }
          ],
          "best": {
            "i": 0,
            "j": 2,
            "lambda": 0.37142857142857155,
            "x": [
              [
                1.5000000000000009,
                1
              ],
              [
                2.5,
                0
              ]
            ],
            "travel": 1,
            "reward": 9.5,
            "budgetSlack": 0,
            "feasible": true
          },
          "recovery": {
            "z": [
              2.500000000000001,
              2.5
            ],
            "pi": [
              [
                0.6000000000000001,
                0.39999999999999986
              ],
              [
                1,
                0
              ]
            ],
            "P": [
              [
                0.6000000000000001,
                0.39999999999999986
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -0.19999999999999962,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.5199999999999999,
                  -0.3199999999999999
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                -0.19999999999999962,
                4
              ],
              "det": 0.16799999999999998,
              "value": [
                6.999999999999999,
                11.999999999999998
              ]
            },
            "weightedValue": 9.499999999999998,
            "flow": [
              0,
              0
            ]
          },
          "shadow": [
            {
              "eta": 0,
              "value": [
                8.181818181818183,
                12.727272727272728
              ],
              "slacks": [
                0.6363636363636362,
                0,
                0,
                4.181818181818182
              ],
              "objective": 10.454545454545457
            },
            {
              "eta": 1.615384615384616,
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "slacks": [
                0,
                2.220446049250313e-16,
                0,
                4.769230769230769
              ],
              "objective": 9.500000000000002
            },
            {
              "eta": 3.1142857142857143,
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "slacks": [
                0,
                1.4989010989010985,
                0,
                4.769230769230769
              ],
              "objective": 10.998901098901099
            }
          ],
          "dual": {
            "eta": 1.615384615384616,
            "value": [
              5.000000000000001,
              10.76923076923077
            ],
            "slacks": [
              0,
              2.220446049250313e-16,
              0,
              4.769230769230769
            ],
            "objective": 9.500000000000002
          },
          "gap": 1.7763568394002505e-15,
          "complementarity": [
            0,
            2.220446049250313e-16,
            0,
            0
          ],
          "budgetProduct": 0,
          "complementaritySum": 2.220446049250313e-16
        },
        "budgetScan": [
          {
            "budget": 0,
            "reward": 7.884615384615385,
            "travel": 0,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.25,
            "reward": 8.28846153846154,
            "travel": 0.25000000000000006,
            "eta": 1.615384615384616,
            "gap": -1.7763568394002505e-15,
            "pi": [
              [
                0.9315789473684211,
                0.06842105263157895
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.5,
            "reward": 8.692307692307693,
            "travel": 0.49999999999999994,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                0.8470588235294118,
                0.1529411764705882
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.75,
            "reward": 9.096153846153847,
            "travel": 0.75,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                0.7400000000000001,
                0.2599999999999999
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1,
            "reward": 9.5,
            "travel": 1,
            "eta": 1.615384615384616,
            "gap": 1.7763568394002505e-15,
            "pi": [
              [
                0.6000000000000001,
                0.39999999999999986
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.25,
            "reward": 9.903846153846155,
            "travel": 1.25,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                0.40909090909090934,
                0.5909090909090906
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.5,
            "reward": 10.307692307692308,
            "travel": 1.5,
            "eta": 1.615384615384616,
            "gap": 1.7763568394002505e-15,
            "pi": [
              [
                0.13333333333333378,
                0.8666666666666661
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.5909090909090913,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.500000000000001,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 20,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          }
        ],
        "scope": "已知两状态模型的完整算术演示；VI、PI与LP独立构造。占用量未归一化，总质量1/(1−γ)。可行性比较容差显式保存，非向外舍入认证；迭代次数不是一般复杂度定理。"
      }
    },
    {
      "key": "patient",
      "data": {
        "version": 179,
        "parameters": {
          "gamma": 0.999,
          "steps": 200,
          "camp": 0,
          "mine": 0,
          "piCamp": 0,
          "piMine": 1,
          "muCamp": 0.5,
          "budget": 1
        },
        "mu": [
          0.5,
          0.5
        ],
        "constraints": [
          {
            "state": 0,
            "action": 0,
            "A": [
              0.0010000000000000009,
              0
            ],
            "r": 1,
            "travel": 0
          },
          {
            "state": 0,
            "action": 1,
            "A": [
              1,
              -0.999
            ],
            "r": -2,
            "travel": 1
          },
          {
            "state": 1,
            "action": 0,
            "A": [
              -0.3996,
              0.40060000000000007
            ],
            "r": 4,
            "travel": 0
          },
          {
            "state": 1,
            "action": 1,
            "A": [
              -0.999,
              1
            ],
            "r": 2,
            "travel": 0
          }
        ],
        "vi": {
          "rows": [
            {
              "k": 0,
              "value": [
                0,
                0
              ],
              "q": [
                [
                  1,
                  -2
                ],
                [
                  4,
                  2
                ]
              ],
              "tv": [
                1,
                4
              ],
              "residual": 4,
              "residualBound": 3999.9999999999964
            },
            {
              "k": 1,
              "value": [
                1,
                4
              ],
              "q": [
                [
                  1.999,
                  1.996
                ],
                [
                  6.7972,
                  2.999
                ]
              ],
              "tv": [
                1.999,
                6.7972
              ],
              "residual": 2.7972,
              "residualBound": 2797.1999999999975
            },
            {
              "k": 2,
              "value": [
                1.999,
                6.7972
              ],
              "q": [
                [
                  2.997001,
                  4.7904028
                ],
                [
                  8.87304208,
                  3.997001
                ]
              ],
              "tv": [
                4.7904028,
                8.87304208
              ],
              "residual": 2.7914027999999997,
              "residualBound": 2791.402799999997
            },
            {
              "k": 3,
              "value": [
                4.7904028,
                8.87304208
              ],
              "q": [
                [
                  5.7856123971999995,
                  6.86416903792
                ],
                [
                  11.232746381632,
                  6.7856123971999995
                ]
              ],
              "tv": [
                6.86416903792,
                11.232746381632
              ],
              "residual": 2.359704301632,
              "residualBound": 2359.704301631998
            },
            {
              "k": 4,
              "value": [
                6.86416903792,
                11.232746381632
              ],
              "q": [
                [
                  7.85730486888208,
                  9.221513635250368
                ],
                [
                  13.475830128703054,
                  8.85730486888208
                ]
              ],
              "tv": [
                9.221513635250368,
                13.475830128703054
              ],
              "residual": 2.3573445973303677,
              "residualBound": 2357.3445973303656
            },
            {
              "k": 5,
              "value": [
                9.221513635250368,
                13.475830128703054
              ],
              "q": [
                [
                  10.212292121615118,
                  11.46235429857435
                ],
                [
                  15.762329427790657,
                  11.212292121615118
                ]
              ],
              "tv": [
                11.46235429857435,
                15.762329427790657
              ],
              "residual": 2.2864992990876036,
              "residualBound": 2286.4992990876017
            },
            {
              "k": 6,
              "value": [
                11.46235429857435,
                15.762329427790657
              ],
              "q": [
                [
                  12.450891944275776,
                  13.746567098362867
                ],
                [
                  18.02829703672803,
                  13.450891944275776
                ]
              ],
              "tv": [
                13.746567098362867,
                18.02829703672803
              ],
              "residual": 2.2842127997885164,
              "residualBound": 2284.2127997885145
            },
            {
              "k": 7,
              "value": [
                13.746567098362867,
                18.02829703672803
              ],
              "q": [
                [
                  14.732820531264505,
                  16.010268739691302
                ],
                [
                  20.299289456320583,
                  15.732820531264505
                ]
              ],
              "tv": [
                16.010268739691302,
                20.299289456320583
              ],
              "residual": 2.2709924195925524,
              "residualBound": 2270.9924195925505
            },
            {
              "k": 8,
              "value": [
                16.010268739691302,
                20.299289456320583
              ],
              "q": [
                [
                  16.99425847095161,
                  18.27899016686426
                ],
                [
                  22.5650974884992,
                  17.99425847095161
                ]
              ],
              "tv": [
                18.27899016686426,
                22.5650974884992
              ],
              "residual": 2.2687214271729594,
              "residualBound": 2268.7214271729576
            },
            {
              "k": 9,
              "value": [
                18.27899016686426,
                22.5650974884992
              ],
              "q": [
                [
                  19.2607111766974,
                  20.542532391010702
                ],
                [
                  24.82980390528538,
                  20.2607111766974
                ]
              ],
              "tv": [
                20.542532391010702,
                24.82980390528538
              ],
              "residual": 2.2647064167861792,
              "residualBound": 2264.706416786177
            },
            {
              "k": 10,
              "value": [
                20.542532391010702,
                24.82980390528538
              ],
              "q": [
                [
                  21.52198985861969,
                  22.804974101380097
                ],
                [
                  27.091780404275934,
                  22.52198985861969
                ]
              ],
              "tv": [
                22.804974101380097,
                27.091780404275934
              ],
              "residual": 2.2624417103693943,
              "residualBound": 2262.4417103693922
            },
            {
              "k": 11,
              "value": [
                22.804974101380097,
                27.091780404275934
              ],
              "q": [
                [
                  23.782169127278717,
                  25.064688623871657
                ],
                [
                  29.35168082523448,
                  24.782169127278717
                ]
              ],
              "tv": [
                25.064688623871657,
                29.35168082523448
              ],
              "residual": 2.259900420958548,
              "residualBound": 2259.900420958546
            },
            {
              "k": 12,
              "value": [
                25.064688623871657,
                29.35168082523448
              ],
              "q": [
                [
                  26.039623935247786,
                  27.32232914440925
                ],
                [
                  31.60924706074466,
                  27.039623935247786
                ]
              ],
              "tv": [
                27.32232914440925,
                31.60924706074466
              ],
              "residual": 2.257640520537592,
              "residualBound": 2257.64052053759
            },
            {
              "k": 13,
              "value": [
                27.32232914440925,
                31.60924706074466
              ],
              "q": [
                [
                  28.29500681526484,
                  29.577637813683918
                ],
                [
                  33.86458541431629,
                  29.29500681526484
                ]
              ],
              "tv": [
                29.577637813683918,
                33.86458541431629
              ],
              "residual": 2.255338353571627,
              "residualBound": 2255.3383535716252
            },
            {
              "k": 14,
              "value": [
                29.577637813683918,
                33.86458541431629
              ],
              "q": [
                [
                  30.548060175870233,
                  31.830720828901974
                ],
                [
                  36.11765656768928,
                  31.548060175870233
                ]
              ],
              "tv": [
                31.830720828901974,
                36.11765656768928
              ],
              "residual": 2.2530830152180563,
              "residualBound": 2253.0830152180542
            },
            {
              "k": 15,
              "value": [
                31.830720828901974,
                36.11765656768928
              ],
              "q": [
                [
                  32.79889010807307,
                  34.08153891112159
                ],
                [
                  38.368479389902184,
                  33.79889010807307
                ]
              ],
              "tv": [
                34.08153891112159,
                38.368479389902184
              ],
              "residual": 2.2508228222129034,
              "residualBound": 2250.8228222129014
            },
            {
              "k": 16,
              "value": [
                34.08153891112159,
                38.368479389902184
              ],
              "q": [
                [
                  35.04745737221047,
                  36.33011091051228
                ],
                [
                  40.61704949519156,
                  36.04745737221047
                ]
              ],
              "tv": [
                36.33011091051228,
                40.61704949519156
              ],
              "residual": 2.248571999390691,
              "residualBound": 2248.571999390689
            },
            {
              "k": 17,
              "value": [
                36.33011091051228,
                40.61704949519156
              ],
              "q": [
                [
                  37.29378079960177,
                  38.57643244569637
                ],
                [
                  42.86337178725852,
                  38.29378079960177
                ]
              ],
              "tv": [
                38.57643244569637,
                42.86337178725852
              ],
              "residual": 2.2463222920669637,
              "residualBound": 2246.322292066962
            },
            {
              "k": 18,
              "value": [
                38.57643244569637,
                42.86337178725852
              ],
              "q": [
                [
                  39.537856013250675,
                  40.82050841547127
                ],
                [
                  45.107447454583024,
                  40.537856013250675
                ]
              ],
              "tv": [
                40.82050841547127,
                45.107447454583024
              ],
              "residual": 2.2440759697748973,
              "residualBound": 2244.0759697748954
            },
            {
              "k": 19,
              "value": [
                40.82050841547127,
                45.107447454583024
              ],
              "q": [
                [
                  41.779687907055795,
                  43.06234000712844
                ],
                [
                  47.34927916709938,
                  42.779687907055795
                ]
              ],
              "tv": [
                43.06234000712844,
                47.34927916709938
              ],
              "residual": 2.2418317125163583,
              "residualBound": 2241.831712516356
            },
            {
              "k": 20,
              "value": [
                43.06234000712844,
                47.34927916709938
              ],
              "q": [
                [
                  44.019277667121315,
                  45.30192988793228
                ],
                [
                  49.5888689996079,
                  45.019277667121315
                ]
              ],
              "tv": [
                45.30192988793228,
                49.5888689996079
              ],
              "residual": 2.239589880803841,
              "residualBound": 2239.589880803839
            },
            {
              "k": 21,
              "value": [
                45.30192988793228,
                49.5888689996079
              ],
              "q": [
                [
                  46.25662795804435,
                  47.53928013060829
                ],
                [
                  51.826219261582715,
                  47.25662795804435
                ]
              ],
              "tv": [
                47.53928013060829,
                51.826219261582715
              ],
              "residual": 2.237350261974818,
              "residualBound": 2237.350261974816
            },
            {
              "k": 22,
              "value": [
                47.53928013060829,
                51.826219261582715
              ],
              "q": [
                [
                  48.49174085047768,
                  49.77439304232113
                ],
                [
                  54.06133216558376,
                  49.49174085047768
                ]
              ],
              "tv": [
                49.77439304232113,
                54.06133216558376
              ],
              "residual": 2.2351129117128394,
              "residualBound": 2235.1129117128376
            },
            {
              "k": 23,
              "value": [
                49.77439304232113,
                54.06133216558376
              ],
              "q": [
                [
                  50.72461864927881,
                  52.007270833418175
                ],
                [
                  56.29420995976243,
                  51.72461864927881
                ]
              ],
              "tv": [
                52.007270833418175,
                56.29420995976243
              ],
              "residual": 2.232877794178677,
              "residualBound": 2232.877794178675
            },
            {
              "k": 24,
              "value": [
                52.007270833418175,
                56.29420995976243
              ],
              "q": [
                [
                  52.955263562584754,
                  54.237915749802674
                ],
                [
                  58.524854874915505,
                  53.955263562584754
                ]
              ],
              "tv": [
                54.237915749802674,
                58.524854874915505
              ],
              "residual": 2.230644916384499,
              "residualBound": 2230.644916384497
            },
            {
              "k": 25,
              "value": [
                54.237915749802674,
                58.524854874915505
              ],
              "q": [
                [
                  55.18367783405287,
                  56.46633002004059
                ],
                [
                  60.753269145645504,
                  56.18367783405287
                ]
              ],
              "tv": [
                56.46633002004059,
                60.753269145645504
              ],
              "residual": 2.228414270729999,
              "residualBound": 2228.414270729997
            },
            {
              "k": 26,
              "value": [
                56.46633002004059,
                60.753269145645504
              ],
              "q": [
                [
                  57.40986369002054,
                  58.69251587649986
                ],
                [
                  62.979455001908136,
                  58.40986369002054
                ]
              ],
              "tv": [
                58.69251587649986,
                62.979455001908136
              ],
              "residual": 2.2261858564592742,
              "residualBound": 2226.185856459272
            },
            {
              "k": 27,
              "value": [
                58.69251587649986,
                62.979455001908136
              ],
              "q": [
                [
                  59.63382336062336,
                  60.91647554690623
                ],
                [
                  65.20341467239308,
                  60.63382336062336
                ]
              ],
              "tv": [
                60.91647554690623,
                65.20341467239308
              ],
              "residual": 2.2239596704849447,
              "residualBound": 2223.9596704849428
            },
            {
              "k": 28,
              "value": [
                60.91647554690623,
                65.20341467239308
              ],
              "q": [
                [
                  61.85555907135932,
                  63.138211257720684
                ],
                [
                  67.42515038317615,
                  62.85555907135932
                ]
              ],
              "tv": [
                63.138211257720684,
                67.42515038317615
              ],
              "residual": 2.221735710814457,
              "residualBound": 2221.7357108144547
            },
            {
              "k": 29,
              "value": [
                63.138211257720684,
                67.42515038317615
              ],
              "q": [
                [
                  64.07507304646296,
                  65.35772523279297
                ],
                [
                  69.64466435826097,
                  65.07507304646296
                ]
              ],
              "tv": [
                65.35772523279297,
                69.64466435826097
              ],
              "residual": 2.2195139750848227,
              "residualBound": 2219.5139750848207
            },
            {
              "k": 30,
              "value": [
                65.35772523279297,
                69.64466435826097
              ],
              "q": [
                [
                  66.29236750756019,
                  67.5750196939027
                ],
                [
                  71.8619588193657,
                  67.29236750756019
                ]
              ],
              "tv": [
                67.5750196939027,
                71.8619588193657
              ],
              "residual": 2.2172944611097307,
              "residualBound": 2217.2944611097287
            },
            {
              "k": 31,
              "value": [
                67.5750196939027,
                71.8619588193657
              ],
              "q": [
                [
                  68.5074446742088,
                  69.79009686054633
                ],
                [
                  74.07703598601131,
                  69.5074446742088
                ]
              ],
              "tv": [
                69.79009686054633,
                74.07703598601131
              ],
              "residual": 2.2150771666456137,
              "residualBound": 2215.0771666456117
            },
            {
              "k": 32,
              "value": [
                69.79009686054633,
                74.07703598601131
              ],
              "q": [
                [
                  70.72030676368578,
                  72.0029589500253
                ],
                [
                  76.28989807548949,
                  71.72030676368578
                ]
              ],
              "tv": [
                72.0029589500253,
                76.28989807548949
              ],
              "residual": 2.212862089478975,
              "residualBound": 2212.862089478973
            },
            {
              "k": 33,
              "value": [
                72.0029589500253,
                76.28989807548949
              ],
              "q": [
                [
                  72.93095599107528,
                  74.213608177414
                ],
                [
                  78.50054730287852,
                  73.93095599107528
                ]
              ],
              "tv": [
                74.213608177414,
                78.50054730287852
              ],
              "residual": 2.210649227389027,
              "residualBound": 2210.649227389025
            },
            {
              "k": 34,
              "value": [
                74.213608177414,
                78.50054730287852
              ],
              "q": [
                [
                  75.13939456923659,
                  76.42204675557564
                ],
                [
                  80.70898588104002,
                  76.13939456923659
                ]
              ],
              "tv": [
                76.42204675557564,
                80.70898588104002
              ],
              "residual": 2.2084385781616334,
              "residualBound": 2208.4385781616315
            },
            {
              "k": 35,
              "value": [
                76.42204675557564,
                80.70898588104002
              ],
              "q": [
                [
                  77.34562470882005,
                  78.62827689515898
                ],
                [
                  82.9152160206234,
                  78.34562470882005
                ]
              ],
              "tv": [
                78.62827689515898,
                82.9152160206234
              ],
              "residual": 2.2062301395833828,
              "residualBound": 2206.2301395833806
            },
            {
              "k": 36,
              "value": [
                78.62827689515898,
                82.9152160206234
              ],
              "q": [
                [
                  79.54964861826382,
                  80.83230080460278
                ],
                [
                  85.1192399300672,
                  80.54964861826382
                ]
              ],
              "tv": [
                80.83230080460278,
                85.1192399300672
              ],
              "residual": 2.204023909443805,
              "residualBound": 2204.023909443803
            },
            {
              "k": 37,
              "value": [
                80.83230080460278,
                85.1192399300672
              ],
              "q": [
                [
                  81.75146850379818,
                  83.03412069013713
                ],
                [
                  87.32105981560156,
                  82.75146850379818
                ]
              ],
              "tv": [
                83.03412069013713,
                87.32105981560156
              ],
              "residual": 2.2018198855343627,
              "residualBound": 2201.8198855343608
            },
            {
              "k": 38,
              "value": [
                83.03412069013713,
                87.32105981560156
              ],
              "q": [
                [
                  83.95108656944699,
                  85.23373875578595
                ],
                [
                  89.52067788125036,
                  84.95108656944699
                ]
              ],
              "tv": [
                85.23373875578595,
                89.52067788125036
              ],
              "residual": 2.1996180656488207,
              "residualBound": 2199.6180656488186
            },
            {
              "k": 39,
              "value": [
                85.23373875578595,
                89.52067788125036
              ],
              "q": [
                [
                  86.14850501703016,
                  87.43115720336911
                ],
                [
                  91.71809632883354,
                  87.14850501703016
                ]
              ],
              "tv": [
                87.43115720336911,
                91.71809632883354
              ],
              "residual": 2.197418447583175,
              "residualBound": 2197.418447583173
            },
            {
              "k": 40,
              "value": [
                87.43115720336911,
                91.71809632883354
              ],
              "q": [
                [
                  88.34372604616574,
                  89.6263782325047
                ],
                [
                  93.91331735796912,
                  89.34372604616574
                ]
              ],
              "tv": [
                89.6263782325047,
                93.91331735796912
              ],
              "residual": 2.1952210291355954,
              "residualBound": 2195.221029135593
            },
            {
              "k": 41,
              "value": [
                89.6263782325047,
                93.91331735796912
              ],
              "q": [
                [
                  90.5367518542722,
                  91.81940404061115
                ],
                [
                  96.10634316607558,
                  91.5367518542722
                ]
              ],
              "tv": [
                91.81940404061115,
                96.10634316607558
              ],
              "residual": 2.193025808106455,
              "residualBound": 2193.025808106453
            },
            {
              "k": 42,
              "value": [
                91.81940404061115,
                96.10634316607558
              ],
              "q": [
                [
                  92.72758463657054,
                  94.0102368229095
                ],
                [
                  98.2971759483739,
                  93.72758463657054
                ]
              ],
              "tv": [
                94.0102368229095,
                98.2971759483739
              ],
              "residual": 2.190832782298358,
              "residualBound": 2190.832782298356
            },
            {
              "k": 43,
              "value": [
                94.0102368229095,
                98.2971759483739
              ],
              "q": [
                [
                  94.9162265860866,
                  96.19887877242553
                ],
                [
                  100.48581789788996,
                  95.9162265860866
                ]
              ],
              "tv": [
                96.19887877242553,
                100.48581789788996
              ],
              "residual": 2.188641949516054,
              "residualBound": 2188.6419495160517
            },
            {
              "k": 44,
              "value": [
                96.19887877242553,
                100.48581789788996
              ],
              "q": [
                [
                  97.1026798936531,
                  98.38533207999207
                ],
                [
                  102.67227120545648,
                  98.1026798936531
                ]
              ],
              "tv": [
                98.38533207999207,
                102.67227120545648
              ],
              "residual": 2.1864533075665378,
              "residualBound": 2186.453307566536
            },
            {
              "k": 45,
              "value": [
                98.38533207999207,
                102.67227120545648
              ],
              "q": [
                [
                  99.28694674791208,
                  100.56959893425102
                ],
                [
                  104.85653805971545,
                  100.28694674791208
                ]
              ],
              "tv": [
                100.56959893425102,
                104.85653805971545
              ],
              "residual": 2.184266854258965,
              "residualBound": 2184.266854258963
            },
            {
              "k": 46,
              "value": [
                100.56959893425102,
                104.85653805971545
              ],
              "q": [
                [
                  101.46902933531676,
                  102.75168152165573
                ],
                [
                  107.03862064712014,
                  102.46902933531676
                ]
              ],
              "tv": [
                102.75168152165573,
                107.03862064712014
              ],
              "residual": 2.1820825874047074,
              "residualBound": 2182.0825874047055
            },
            {
              "k": 47,
              "value": [
                102.75168152165573,
                107.03862064712014
              ],
              "q": [
                [
                  103.64892984013407,
                  104.93158202647302
                ],
                [
                  109.21852115193744,
                  104.64892984013407
                ]
              ],
              "tv": [
                104.93158202647302,
                109.21852115193744
              ],
              "residual": 2.1799005048172972,
              "residualBound": 2179.9005048172953
            },
            {
              "k": 48,
              "value": [
                104.93158202647302,
                109.21852115193744
              ],
              "q": [
                [
                  105.82665044444656,
                  107.1093026307855
                ],
                [
                  111.39624175624992,
                  106.82665044444656
                ]
              ],
              "tv": [
                107.1093026307855,
                111.39624175624992
              ],
              "residual": 2.1777206043124835,
              "residualBound": 2177.7206043124816
            },
            {
              "k": 49,
              "value": [
                107.1093026307855,
                111.39624175624992
              ],
              "q": [
                [
                  108.00219332815472,
                  109.28484551449367
                ],
                [
                  113.5717846399581,
                  109.00219332815472
                ]
              ],
              "tv": [
                109.28484551449367,
                113.5717846399581
              ],
              "residual": 2.175542883708175,
              "residualBound": 2175.542883708173
            },
            {
              "k": 50,
              "value": [
                109.28484551449367,
                113.5717846399581
              ],
              "q": [
                [
                  110.17556066897917,
                  111.45821285531814
                ],
                [
                  115.74515198078254,
                  111.17556066897917
                ]
              ],
              "tv": [
                111.45821285531814,
                115.74515198078254
              ],
              "residual": 2.17336734082447,
              "residualBound": 2173.367340824468
            },
            {
              "k": 51,
              "value": [
                111.45821285531814,
                115.74515198078254
              ],
              "q": [
                [
                  112.34675464246281,
                  113.62940682880175
                ],
                [
                  117.91634595426616,
                  113.34675464246281
                ]
              ],
              "tv": [
                113.62940682880175,
                117.91634595426616
              ],
              "residual": 2.171193973483625,
              "residualBound": 2171.1939734836233
            },
            {
              "k": 52,
              "value": [
                113.62940682880175,
                117.91634595426616
              ],
              "q": [
                [
                  114.51577742197294,
                  115.79842960831189
                ],
                [
                  120.0853687337763,
                  115.51577742197294
                ]
              ],
              "tv": [
                115.79842960831189,
                120.0853687337763
              ],
              "residual": 2.1690227795101436,
              "residualBound": 2169.022779510142
            },
            {
              "k": 53,
              "value": [
                115.79842960831189,
                120.0853687337763
              ],
              "q": [
                [
                  116.68263117870357,
                  117.96528336504252
                ],
                [
                  122.25222249050694,
                  117.68263117870357
                ]
              ],
              "tv": [
                117.96528336504252,
                122.25222249050694
              ],
              "residual": 2.1668537567306316,
              "residualBound": 2166.85375673063
            },
            {
              "k": 54,
              "value": [
                117.96528336504252,
                122.25222249050694
              ],
              "q": [
                [
                  118.84731808167749,
                  120.12997026801644
                ],
                [
                  124.41690939348085,
                  119.84731808167749
                ]
              ],
              "tv": [
                120.12997026801644,
                124.41690939348085
              ],
              "residual": 2.164686902973912,
              "residualBound": 2164.6869029739105
            },
            {
              "k": 55,
              "value": [
                120.12997026801644,
                124.41690939348085
              ],
              "q": [
                [
                  121.00984029774843,
                  122.29249248408738
                ],
                [
                  126.5794316095518,
                  122.00984029774843
                ]
              ],
              "tv": [
                122.29249248408738,
                126.5794316095518
              ],
              "residual": 2.162522216070954,
              "residualBound": 2162.5222160709523
            },
            {
              "k": 56,
              "value": [
                122.29249248408738,
                126.5794316095518
              ],
              "q": [
                [
                  123.17019999160328,
                  124.45285217794225
                ],
                [
                  128.73979130340666,
                  124.17019999160328
                ]
              ],
              "tv": [
                124.45285217794225,
                128.73979130340666
              ],
              "residual": 2.160359693854872,
              "residualBound": 2160.35969385487
            },
            {
              "k": 57,
              "value": [
                124.45285217794225,
                128.73979130340666
              ],
              "q": [
                [
                  125.32839932576431,
                  126.61105151210324
                ],
                [
                  130.89799063756766,
                  126.32839932576431
                ]
              ],
              "tv": [
                126.61105151210324,
                130.89799063756766
              ],
              "residual": 2.1581993341609973,
              "residualBound": 2158.1993341609955
            },
            {
              "k": 58,
              "value": [
                126.61105151210324,
                130.89799063756766
              ],
              "q": [
                [
                  127.48444046059114,
                  128.76709264693008
                ],
                [
                  133.0540317723945,
                  128.48444046059114
                ]
              ],
              "tv": [
                128.76709264693008,
                133.0540317723945
              ],
              "residual": 2.156041134826836,
              "residualBound": 2156.041134826834
            },
            {
              "k": 59,
              "value": [
                128.76709264693008,
                133.0540317723945
              ],
              "q": [
                [
                  129.63832555428314,
                  130.9209777406221
                ],
                [
                  135.20791686608652,
                  130.63832555428314
                ]
              ],
              "tv": [
                130.9209777406221,
                135.20791686608652
              ],
              "residual": 2.1538850936920255,
              "residualBound": 2153.8850936920235
            },
            {
              "k": 60,
              "value": [
                130.9209777406221,
                135.20791686608652
              ],
              "q": [
                [
                  131.79005676288148,
                  133.07270894922044
                ],
                [
                  137.35964807468486,
                  132.79005676288148
                ]
              ],
              "tv": [
                133.07270894922044,
                137.35964807468486
              ],
              "residual": 2.151731208598335,
              "residualBound": 2151.731208598333
            },
            {
              "k": 61,
              "value": [
                133.07270894922044,
                137.35964807468486
              ],
              "q": [
                [
                  133.93963624027123,
                  135.22228842661016
                ],
                [
                  139.50922755207458,
                  134.93963624027123
                ]
              ],
              "tv": [
                135.22228842661016,
                139.50922755207458
              ],
              "residual": 2.1495794773897217,
              "residualBound": 2149.5794773897196
            },
            {
              "k": 62,
              "value": [
                135.22228842661016,
                139.50922755207458
              ],
              "q": [
                [
                  136.08706613818356,
                  137.3697183245225
                ],
                [
                  141.6566574499869,
                  137.08706613818356
                ]
              ],
              "tv": [
                137.3697183245225,
                141.6566574499869
              ],
              "residual": 2.147429897912332,
              "residualBound": 2147.42989791233
            },
            {
              "k": 63,
              "value": [
                137.3697183245225,
                141.6566574499869
              ],
              "q": [
                [
                  138.23234860619797,
                  139.5150007925369
                ],
                [
                  143.80193991800132,
                  139.23234860619797
                ]
              ],
              "tv": [
                139.5150007925369,
                143.80193991800132
              ],
              "residual": 2.1452824680144147,
              "residualBound": 2145.2824680144126
            },
            {
              "k": 64,
              "value": [
                139.5150007925369,
                143.80193991800132
              ],
              "q": [
                [
                  140.37548579174438,
                  141.65813797808332
                ],
                [
                  145.94507710354773,
                  141.37548579174438
                ]
              ],
              "tv": [
                141.65813797808332,
                145.94507710354773
              ],
              "residual": 2.143137185546408,
              "residualBound": 2143.137185546406
            },
            {
              "k": 65,
              "value": [
                141.65813797808332,
                145.94507710354773
              ],
              "q": [
                [
                  142.51647984010523,
                  143.79913202644417
                ],
                [
                  148.0860711519086,
                  143.51647984010523
                ]
              ],
              "tv": [
                143.79913202644417,
                148.0860711519086
              ],
              "residual": 2.1409940483608807,
              "residualBound": 2140.994048360879
            },
            {
              "k": 66,
              "value": [
                143.79913202644417,
                148.0860711519086
              ],
              "q": [
                [
                  144.65533289441774,
                  145.9379850807567
                ],
                [
                  150.22492420622112,
                  145.65533289441774
                ]
              ],
              "tv": [
                145.9379850807567,
                150.22492420622112
              ],
              "residual": 2.138853054312534,
              "residualBound": 2138.853054312532
            },
            {
              "k": 67,
              "value": [
                145.9379850807567,
                150.22492420622112
              ],
              "q": [
                [
                  146.79204709567594,
                  148.0746992820149
                ],
                [
                  152.36163840747932,
                  147.79204709567594
                ]
              ],
              "tv": [
                148.0746992820149,
                152.36163840747932
              ],
              "residual": 2.1367142012582008,
              "residualBound": 2136.714201258199
            },
            {
              "k": 68,
              "value": [
                148.0746992820149,
                152.36163840747932
              ],
              "q": [
                [
                  148.9266245827329,
                  150.20927676907183
                ],
                [
                  154.49621589453625,
                  149.9266245827329
                ]
              ],
              "tv": [
                150.20927676907183,
                154.49621589453625
              ],
              "residual": 2.13457748705693,
              "residualBound": 2134.577487056928
            },
            {
              "k": 69,
              "value": [
                150.20927676907183,
                154.49621589453625
              ],
              "q": [
                [
                  151.05906749230277,
                  152.3417196786417
                ],
                [
                  156.62865880410615,
                  152.05906749230277
                ]
              ],
              "tv": [
                152.3417196786417,
                156.62865880410615
              ],
              "residual": 2.132442909569903,
              "residualBound": 2132.442909569901
            },
            {
              "k": 70,
              "value": [
                152.3417196786417,
                156.62865880410615
              ],
              "q": [
                [
                  153.18937795896306,
                  154.47203014530206
                ],
                [
                  158.75896927076647,
                  154.18937795896306
                ]
              ],
              "tv": [
                154.47203014530206,
                158.75896927076647
              ],
              "residual": 2.1303104666603474,
              "residualBound": 2130.3104666603454
            },
            {
              "k": 71,
              "value": [
                154.47203014530206,
                158.75896927076647
              ],
              "q": [
                [
                  155.31755811515674,
                  156.6002103014957
                ],
                [
                  160.88714942696012,
                  156.31755811515674
                ]
              ],
              "tv": [
                156.6002103014957,
                160.88714942696012
              ],
              "residual": 2.1281801561936504,
              "residualBound": 2128.1801561936486
            },
            {
              "k": 72,
              "value": [
                156.6002103014957,
                160.88714942696012
              ],
              "q": [
                [
                  157.44361009119422,
                  158.72626227753315
                ],
                [
                  163.01320140299757,
                  158.44361009119422
                ]
              ],
              "tv": [
                158.72626227753315,
                163.01320140299757
              ],
              "residual": 2.126051976037445,
              "residualBound": 2126.051976037443
            },
            {
              "k": 73,
              "value": [
                158.72626227753315,
                163.01320140299757
              ],
              "q": [
                [
                  159.56753601525563,
                  160.85018820159456
                ],
                [
                  165.13712732705898,
                  160.56753601525563
                ]
              ],
              "tv": [
                160.85018820159456,
                165.13712732705898
              ],
              "residual": 2.1239259240614103,
              "residualBound": 2123.9259240614083
            },
            {
              "k": 74,
              "value": [
                160.85018820159456,
                165.13712732705898
              ],
              "q": [
                [
                  161.68933801339296,
                  162.97199019973192
                ],
                [
                  167.25892932519636,
                  162.68933801339296
                ]
              ],
              "tv": [
                162.97199019973192,
                167.25892932519636
              ],
              "residual": 2.1218019981373857,
              "residualBound": 2121.8019981373836
            },
            {
              "k": 75,
              "value": [
                162.97199019973192,
                167.25892932519636
              ],
              "q": [
                [
                  163.80901820953218,
                  165.09167039587118
                ],
                [
                  169.3786095213356,
                  164.80901820953218
                ]
              ],
              "tv": [
                165.09167039587118,
                169.3786095213356
              ],
              "residual": 2.1196801961392566,
              "residualBound": 2119.680196139255
            },
            {
              "k": 76,
              "value": [
                165.09167039587118,
                169.3786095213356
              ],
              "q": [
                [
                  165.9265787254753,
                  167.20923091181425
                ],
                [
                  171.4961700372787,
                  166.9265787254753
                ]
              ],
              "tv": [
                167.20923091181425,
                171.4961700372787
              ],
              "residual": 2.1175605159430972,
              "residualBound": 2117.560515943095
            },
            {
              "k": 77,
              "value": [
                167.20923091181425,
                171.4961700372787
              ],
              "q": [
                [
                  168.04202168090242,
                  169.32467386724142
                ],
                [
                  173.61161299270583,
                  169.04202168090242
                ]
              ],
              "tv": [
                169.32467386724142,
                173.61161299270583
              ],
              "residual": 2.11544295542717,
              "residualBound": 2115.4429554271683
            },
            {
              "k": 78,
              "value": [
                169.32467386724142,
                173.61161299270583
              ],
              "q": [
                [
                  170.15534919337418,
                  171.4380013797131
                ],
                [
                  175.72494050517753,
                  171.15534919337418
                ]
              ],
              "tv": [
                171.4380013797131,
                175.72494050517753
              ],
              "residual": 2.113327512471699,
              "residualBound": 2113.327512471697
            },
            {
              "k": 79,
              "value": [
                171.4380013797131,
                175.72494050517753
              ],
              "q": [
                [
                  172.2665633783334,
                  173.54921556467235
                ],
                [
                  177.83615469013677,
                  173.2665633783334
                ]
              ],
              "tv": [
                173.54921556467235,
                177.83615469013677
              ],
              "residual": 2.1112141849592376,
              "residualBound": 2111.214184959236
            },
            {
              "k": 80,
              "value": [
                173.54921556467235,
                177.83615469013677
              ],
              "q": [
                [
                  174.3756663491077,
                  175.65831853544663
                ],
                [
                  179.94525766091104,
                  175.3756663491077
                ]
              ],
              "tv": [
                175.65831853544663,
                179.94525766091104
              ],
              "residual": 2.1091029707742734,
              "residualBound": 2109.1029707742714
            },
            {
              "k": 81,
              "value": [
                175.65831853544663,
                179.94525766091104
              ],
              "q": [
                [
                  176.48266021691117,
                  177.76531240325014
                ],
                [
                  182.05225152871455,
                  177.48266021691117
                ]
              ],
              "tv": [
                177.76531240325014,
                182.05225152871455
              ],
              "residual": 2.10699386780351,
              "residualBound": 2106.9938678035082
            },
            {
              "k": 82,
              "value": [
                177.76531240325014,
                182.05225152871455
              ],
              "q": [
                [
                  178.5875470908469,
                  179.87019927718583
                ],
                [
                  184.15713840265025,
                  179.5875470908469
                ]
              ],
              "tv": [
                179.87019927718583,
                184.15713840265025
              ],
              "residual": 2.1048868739356976,
              "residualBound": 2104.886873935696
            },
            {
              "k": 83,
              "value": [
                179.87019927718583,
                184.15713840265025
              ],
              "q": [
                [
                  180.69032907790864,
                  181.9729812642476
                ],
                [
                  186.25992038971202,
                  181.69032907790864
                ]
              ],
              "tv": [
                181.9729812642476,
                186.25992038971202
              ],
              "residual": 2.1027819870617748,
              "residualBound": 2102.7819870617727
            },
            {
              "k": 84,
              "value": [
                181.9729812642476,
                186.25992038971202
              ],
              "q": [
                [
                  182.79100828298337,
                  184.0736604693223
                ],
                [
                  188.36059959478675,
                  183.79100828298337
                ]
              ],
              "tv": [
                184.0736604693223,
                188.36059959478675
              ],
              "residual": 2.1006792050747265,
              "residualBound": 2100.6792050747245
            },
            {
              "k": 85,
              "value": [
                184.0736604693223,
                188.36059959478675
              ],
              "q": [
                [
                  184.88958680885298,
                  186.17223899519198
                ],
                [
                  190.4591781206564,
                  185.88958680885298
                ]
              ],
              "tv": [
                186.17223899519198,
                190.4591781206564
              ],
              "residual": 2.0985785258696694,
              "residualBound": 2098.5785258696674
            },
            {
              "k": 86,
              "value": [
                186.17223899519198,
                190.4591781206564
              ],
              "q": [
                [
                  186.98606675619678,
                  188.26871894253574
                ],
                [
                  192.55565806800016,
                  187.98606675619678
                ]
              ],
              "tv": [
                188.26871894253574,
                192.55565806800016
              ],
              "residual": 2.0964799473437665,
              "residualBound": 2096.4799473437647
            },
            {
              "k": 87,
              "value": [
                188.26871894253574,
                192.55565806800016
              ],
              "q": [
                [
                  189.0804502235932,
                  190.36310240993217
                ],
                [
                  194.65004153539658,
                  190.0804502235932
                ]
              ],
              "tv": [
                190.36310240993217,
                194.65004153539658
              ],
              "residual": 2.094383467396426,
              "residualBound": 2094.3834673964243
            },
            {
              "k": 88,
              "value": [
                190.36310240993217,
                194.65004153539658
              ],
              "q": [
                [
                  191.17273930752225,
                  192.45539149386119
                ],
                [
                  196.7423306193256,
                  192.17273930752225
                ]
              ],
              "tv": [
                192.45539149386119,
                196.7423306193256
              ],
              "residual": 2.0922890839290176,
              "residualBound": 2092.2890839290158
            },
            {
              "k": 89,
              "value": [
                192.45539149386119,
                196.7423306193256
              ],
              "q": [
                [
                  193.26293610236732,
                  194.54558828870628
                ],
                [
                  198.8325274141707,
                  194.26293610236732
                ]
              ],
              "tv": [
                194.54558828870628,
                198.8325274141707
              ],
              "residual": 2.090196794845099,
              "residualBound": 2090.196794845097
            },
            {
              "k": 90,
              "value": [
                194.54558828870628,
                198.8325274141707
              ],
              "q": [
                [
                  195.35104270041757,
                  196.63369488675653
                ],
                [
                  200.92063401222094,
                  196.35104270041757
                ]
              ],
              "tv": [
                196.63369488675653,
                200.92063401222094
              ],
              "residual": 2.0881065980502456,
              "residualBound": 2088.1065980502435
            },
            {
              "k": 91,
              "value": [
                196.63369488675653,
                200.92063401222094
              ],
              "q": [
                [
                  197.43706119186976,
                  198.71971337820872
                ],
                [
                  203.00665250367317,
                  198.43706119186976
                ]
              ],
              "tv": [
                198.71971337820872,
                203.00665250367317
              ],
              "residual": 2.086018491452222,
              "residualBound": 2086.01849145222
            },
            {
              "k": 92,
              "value": [
                198.71971337820872,
                203.00665250367317
              ],
              "q": [
                [
                  199.5209936648305,
                  200.8036458511695
                ],
                [
                  205.09058497663392,
                  200.5209936648305
                ]
              ],
              "tv": [
                200.8036458511695,
                205.09058497663392
              ],
              "residual": 2.0839324729607824,
              "residualBound": 2083.9324729607806
            },
            {
              "k": 93,
              "value": [
                200.8036458511695,
                205.09058497663392
              ],
              "q": [
                [
                  201.60284220531832,
                  202.8854943916573
                ],
                [
                  207.17243351712173,
                  202.60284220531832
                ]
              ],
              "tv": [
                202.8854943916573,
                207.17243351712173
              ],
              "residual": 2.0818485404878118,
              "residualBound": 2081.8485404878097
            },
            {
              "k": 94,
              "value": [
                202.8854943916573,
                207.17243351712173
              ],
              "q": [
                [
                  203.68260889726562,
                  204.96526108360462
                ],
                [
                  209.25220020906903,
                  204.68260889726562
                ]
              ],
              "tv": [
                204.96526108360462,
                209.25220020906903
              ],
              "residual": 2.079766691947327,
              "residualBound": 2079.7666919473254
            },
            {
              "k": 95,
              "value": [
                204.96526108360462,
                209.25220020906903
              ],
              "q": [
                [
                  205.76029582252102,
                  207.04294800885995
                ],
                [
                  211.32988713432437,
                  206.76029582252102
                ]
              ],
              "tv": [
                207.04294800885995,
                211.32988713432437
              ],
              "residual": 2.0776869252553354,
              "residualBound": 2077.6869252553333
            },
            {
              "k": 96,
              "value": [
                207.04294800885995,
                211.32988713432437
              ],
              "q": [
                [
                  207.8359050608511,
                  209.11855724719004
                ],
                [
                  213.40549637265445,
                  208.8359050608511
                ]
              ],
              "tv": [
                209.11855724719004,
                213.40549637265445
              ],
              "residual": 2.075609238330088,
              "residualBound": 2075.609238330086
            },
            {
              "k": 97,
              "value": [
                209.11855724719004,
                213.40549637265445
              ],
              "q": [
                [
                  209.90943868994285,
                  211.1920908762818
                ],
                [
                  215.47903000174622,
                  210.90943868994285
                ]
              ],
              "tv": [
                211.1920908762818,
                215.47903000174622
              ],
              "residual": 2.07353362909177,
              "residualBound": 2073.533629091768
            },
            {
              "k": 98,
              "value": [
                211.1920908762818,
                215.47903000174622
              ],
              "q": [
                [
                  211.98089878540551,
                  213.26355097174448
                ],
                [
                  217.5504900972089,
                  212.98089878540551
                ]
              ],
              "tv": [
                213.26355097174448,
                217.5504900972089
              ],
              "residual": 2.071460095462669,
              "residualBound": 2071.460095462667
            },
            {
              "k": 99,
              "value": [
                213.26355097174448,
                217.5504900972089
              ],
              "q": [
                [
                  214.05028742077275,
                  215.33293960711168
                ],
                [
                  219.6198787325761,
                  215.05028742077275
                ]
              ],
              "tv": [
                215.33293960711168,
                219.6198787325761
              ],
              "residual": 2.069388635367204,
              "residualBound": 2069.3886353672024
            },
            {
              "k": 100,
              "value": [
                215.33293960711168,
                219.6198787325761
              ],
              "q": [
                [
                  216.11760666750456,
                  217.40025885384352
                ],
                [
                  221.68719797930794,
                  217.11760666750456
                ]
              ],
              "tv": [
                217.40025885384352,
                221.68719797930794
              ],
              "residual": 2.0673192467318415,
              "residualBound": 2067.3192467318395
            },
            {
              "k": 101,
              "value": [
                217.40025885384352,
                221.68719797930794
              ],
              "q": [
                [
                  218.18285859498968,
                  219.46551078132862
                ],
                [
                  223.75244990679303,
                  219.18285859498968
                ]
              ],
              "tv": [
                219.46551078132862,
                223.75244990679303
              ],
              "residual": 2.065251927485093,
              "residualBound": 2065.251927485091
            },
            {
              "k": 102,
              "value": [
                219.46551078132862,
                223.75244990679303
              ],
              "q": [
                [
                  220.24604527054728,
                  221.52869745688625
                ],
                [
                  225.81563658235066,
                  221.24604527054728
                ]
              ],
              "tv": [
                221.52869745688625,
                225.81563658235066
              ],
              "residual": 2.063186675557631,
              "residualBound": 2063.1866755576293
            },
            {
              "k": 103,
              "value": [
                221.52869745688625,
                225.81563658235066
              ],
              "q": [
                [
                  222.30716875942937,
                  223.5898209457683
                ],
                [
                  227.87676007123272,
                  223.30716875942937
                ]
              ],
              "tv": [
                223.5898209457683,
                227.87676007123272
              ],
              "residual": 2.0611234888820604,
              "residualBound": 2061.1234888820586
            },
            {
              "k": 104,
              "value": [
                223.5898209457683,
                227.87676007123272
              ],
              "q": [
                [
                  224.36623112482255,
                  225.64888331116148
                ],
                [
                  229.9358224366259,
                  225.36623112482255
                ]
              ],
              "tv": [
                225.64888331116148,
                229.9358224366259
              ],
              "residual": 2.0590623653931743,
              "residualBound": 2059.0623653931725
            },
            {
              "k": 105,
              "value": [
                225.64888331116148,
                229.9358224366259
              ],
              "q": [
                [
                  226.42323442785033,
                  227.70588661418927
                ],
                [
                  231.99282573965368,
                  227.42323442785033
                ]
              ],
              "tv": [
                227.70588661418927,
                231.99282573965368
              ],
              "residual": 2.057003303027784,
              "residualBound": 2057.0033030277823
            },
            {
              "k": 106,
              "value": [
                227.70588661418927,
                231.99282573965368
              ],
              "q": [
                [
                  228.47818072757508,
                  229.76083291391402
                ],
                [
                  234.04777203937843,
                  229.47818072757508
                ]
              ],
              "tv": [
                229.76083291391402,
                234.04777203937843
              ],
              "residual": 2.0549462997247474,
              "residualBound": 2054.9462997247456
            },
            {
              "k": 107,
              "value": [
                229.76083291391402,
                234.04777203937843
              ],
              "q": [
                [
                  230.5310720810001,
                  231.81372426733904
                ],
                [
                  236.10066339280345,
                  231.5310720810001
                ]
              ],
              "tv": [
                231.81372426733904,
                236.10066339280345
              ],
              "residual": 2.052891353425025,
              "residualBound": 2052.891353425023
            },
            {
              "k": 108,
              "value": [
                231.81372426733904,
                236.10066339280345
              ],
              "q": [
                [
                  232.5819105430717,
                  233.86456272941066
                ],
                [
                  238.15150185487508,
                  233.5819105430717
                ]
              ],
              "tv": [
                233.86456272941066,
                238.15150185487508
              ],
              "residual": 2.0508384620716242,
              "residualBound": 2050.8384620716224
            },
            {
              "k": 109,
              "value": [
                233.86456272941066,
                238.15150185487508
              ],
              "q": [
                [
                  234.63069816668124,
                  235.9133503530202
                ],
                [
                  240.20028947848462,
                  235.63069816668124
                ]
              ],
              "tv": [
                235.9133503530202,
                240.20028947848462
              ],
              "residual": 2.0487876236095417,
              "residualBound": 2048.78762360954
            },
            {
              "k": 110,
              "value": [
                235.9133503530202,
                240.20028947848462
              ],
              "q": [
                [
                  236.67743700266718,
                  237.96008918900614
                ],
                [
                  242.24702831447055,
                  237.67743700266718
                ]
              ],
              "tv": [
                237.96008918900614,
                242.24702831447055
              ],
              "residual": 2.046738835985934,
              "residualBound": 2046.7388359859324
            },
            {
              "k": 111,
              "value": [
                237.96008918900614,
                242.24702831447055
              ],
              "q": [
                [
                  238.72212909981712,
                  240.0047812861561
                ],
                [
                  244.2917204116205,
                  239.72212909981712
                ]
              ],
              "tv": [
                240.0047812861561,
                244.2917204116205
              ],
              "residual": 2.044692097149948,
              "residualBound": 2044.6920971499462
            },
            {
              "k": 112,
              "value": [
                240.0047812861561,
                244.2917204116205
              ],
              "q": [
                [
                  240.76477650486993,
                  242.0474286912089
                ],
                [
                  246.3343678166733,
                  241.76477650486993
                ]
              ],
              "tv": [
                242.0474286912089,
                246.3343678166733
              ],
              "residual": 2.0426474050528043,
              "residualBound": 2042.6474050528025
            },
            {
              "k": 113,
              "value": [
                242.0474286912089,
                246.3343678166733
              ],
              "q": [
                [
                  242.80538126251767,
                  244.08803344885663
                ],
                [
                  248.37497257432105,
                  243.80538126251767
                ]
              ],
              "tv": [
                244.08803344885663,
                248.37497257432105
              ],
              "residual": 2.040604757647742,
              "residualBound": 2040.6047576477401
            },
            {
              "k": 114,
              "value": [
                244.08803344885663,
                248.37497257432105
              ],
              "q": [
                [
                  244.84394541540777,
                  246.12659760174674
                ],
                [
                  250.41353672721115,
                  245.84394541540777
                ]
              ],
              "tv": [
                246.12659760174674,
                250.41353672721115
              ],
              "residual": 2.0385641528901033,
              "residualBound": 2038.5641528901015
            },
            {
              "k": 115,
              "value": [
                246.12659760174674,
                250.41353672721115
              ],
              "q": [
                [
                  246.880471004145,
                  248.16312319048393
                ],
                [
                  252.45006231594834,
                  247.880471004145
                ]
              ],
              "tv": [
                248.16312319048393,
                252.45006231594834
              ],
              "residual": 2.0365255887371916,
              "residualBound": 2036.5255887371898
            },
            {
              "k": 116,
              "value": [
                248.16312319048393,
                252.45006231594834
              ],
              "q": [
                [
                  248.91496006729344,
                  250.1976122536324
                ],
                [
                  254.4845513790968,
                  249.91496006729344
                ]
              ],
              "tv": [
                250.1976122536324,
                254.4845513790968
              ],
              "residual": 2.0344890631484702,
              "residualBound": 2034.4890631484684
            },
            {
              "k": 117,
              "value": [
                250.1976122536324,
                254.4845513790968
              ],
              "q": [
                [
                  250.94741464137877,
                  252.2300668277177
                ],
                [
                  256.5170059531821,
                  251.94741464137877
                ]
              ],
              "tv": [
                252.2300668277177,
                256.5170059531821
              ],
              "residual": 2.032454574085307,
              "residualBound": 2032.454574085305
            },
            {
              "k": 118,
              "value": [
                252.2300668277177,
                256.5170059531821
              ],
              "q": [
                [
                  252.97783676089,
                  254.2604889472289
                ],
                [
                  258.5474280726934,
                  253.97783676089
                ]
              ],
              "tv": [
                254.2604889472289,
                258.5474280726934
              ],
              "residual": 2.030422119511286,
              "residualBound": 2030.422119511284
            },
            {
              "k": 119,
              "value": [
                254.2604889472289,
                258.5474280726934
              ],
              "q": [
                [
                  255.00622845828167,
                  256.2888806446207
                ],
                [
                  260.57581977008505,
                  256.00622845828167
                ]
              ],
              "tv": [
                256.2888806446207,
                260.57581977008505
              ],
              "residual": 2.0283916973917826,
              "residualBound": 2028.3916973917808
            },
            {
              "k": 120,
              "value": [
                256.2888806446207,
                260.57581977008505
              ],
              "q": [
                [
                  257.0325917639761,
                  258.31524395031494
                ],
                [
                  262.6021830757794,
                  258.0325917639761
                ]
              ],
              "tv": [
                258.31524395031494,
                262.6021830757794
              ],
              "residual": 2.0263633056943604,
              "residualBound": 2026.3633056943586
            },
            {
              "k": 121,
              "value": [
                258.31524395031494,
                262.6021830757794
              ],
              "q": [
                [
                  259.0569287063646,
                  260.3395808927036
                ],
                [
                  264.62652001816804,
                  260.0569287063646
                ]
              ],
              "tv": [
                260.3395808927036,
                264.62652001816804
              ],
              "residual": 2.024336942388686,
              "residualBound": 2024.3369423886843
            },
            {
              "k": 122,
              "value": [
                260.3395808927036,
                264.62652001816804
              ],
              "q": [
                [
                  261.0792413118109,
                  262.36189349814987
                ],
                [
                  266.6488326236143,
                  262.0792413118109
                ]
              ],
              "tv": [
                262.36189349814987,
                266.6488326236143
              ],
              "residual": 2.0223126054462455,
              "residualBound": 2022.3126054462437
            },
            {
              "k": 123,
              "value": [
                262.36189349814987,
                266.6488326236143
              ],
              "q": [
                [
                  263.0995316046517,
                  264.38218379099067
                ],
                [
                  268.66912291645514,
                  264.0995316046517
                ]
              ],
              "tv": [
                264.38218379099067,
                268.66912291645514
              ],
              "residual": 2.020290292840855,
              "residualBound": 2020.290292840853
            },
            {
              "k": 124,
              "value": [
                264.38218379099067,
                268.66912291645514
              ],
              "q": [
                [
                  265.1178016071997,
                  266.4004537935387
                ],
                [
                  270.68739291900306,
                  266.1178016071997
                ]
              ],
              "tv": [
                266.4004537935387,
                270.68739291900306
              ],
              "residual": 2.018270002548036,
              "residualBound": 2018.270002548034
            },
            {
              "k": 125,
              "value": [
                266.4004537935387,
                270.68739291900306
              ],
              "q": [
                [
                  267.13405333974515,
                  268.41670552608406
                ],
                [
                  272.7036446515485,
                  268.13405333974515
                ]
              ],
              "tv": [
                268.41670552608406,
                272.7036446515485
              ],
              "residual": 2.0162517325454132,
              "residualBound": 2016.2517325454114
            },
            {
              "k": 126,
              "value": [
                268.41670552608406,
                272.7036446515485
              ],
              "q": [
                [
                  269.148288820558,
                  270.43094100689694
                ],
                [
                  274.7178801323613,
                  270.148288820558
                ]
              ],
              "tv": [
                270.43094100689694,
                274.7178801323613
              ],
              "residual": 2.0142354808128857,
              "residualBound": 2014.235480812884
            },
            {
              "k": 127,
              "value": [
                270.43094100689694,
                274.7178801323613
              ],
              "q": [
                [
                  271.16051006589004,
                  272.44316225222894
                ],
                [
                  276.73010137769336,
                  272.16051006589004
                ]
              ],
              "tv": [
                272.44316225222894,
                276.73010137769336
              ],
              "residual": 2.012221245332057,
              "residualBound": 2012.2212453320553
            },
            {
              "k": 128,
              "value": [
                272.44316225222894,
                276.73010137769336
              ],
              "q": [
                [
                  273.1707190899767,
                  274.4533712763157
                ],
                [
                  278.7403104017801,
                  274.1707190899767
                ]
              ],
              "tv": [
                274.4533712763157,
                278.7403104017801
              ],
              "residual": 2.0102090240867483,
              "residualBound": 2010.2090240867465
            },
            {
              "k": 129,
              "value": [
                274.4533712763157,
                278.7403104017801
              ],
              "q": [
                [
                  275.1789179050394,
                  276.46157009137835
                ],
                [
                  280.74850921684276,
                  276.1789179050394
                ]
              ],
              "tv": [
                276.46157009137835,
                280.74850921684276
              ],
              "residual": 2.0081988150626557,
              "residualBound": 2008.198815062654
            },
            {
              "k": 130,
              "value": [
                276.46157009137835,
                280.74850921684276
              ],
              "q": [
                [
                  277.18510852128696,
                  278.4677607076259
                ],
                [
                  282.75469983309034,
                  278.18510852128696
                ]
              ],
              "tv": [
                278.4677607076259,
                282.75469983309034
              ],
              "residual": 2.0061906162475793,
              "residualBound": 2006.1906162475775
            },
            {
              "k": 131,
              "value": [
                278.4677607076259,
                282.75469983309034
              ],
              "q": [
                [
                  279.18929294691833,
                  280.47194513325724
                ],
                [
                  284.75888425872165,
                  280.18929294691833
                ]
              ],
              "tv": [
                280.47194513325724,
                284.75888425872165
              ],
              "residual": 2.0041844256313084,
              "residualBound": 2004.1844256313066
            },
            {
              "k": 132,
              "value": [
                280.47194513325724,
                284.75888425872165
              ],
              "q": [
                [
                  281.19147318812395,
                  282.4741253744629
                ],
                [
                  286.7610644999274,
                  282.19147318812395
                ]
              ],
              "tv": [
                282.4741253744629,
                286.7610644999274
              ],
              "residual": 2.0021802412057355,
              "residualBound": 2002.1802412057336
            },
            {
              "k": 133,
              "value": [
                282.4741253744629,
                286.7610644999274
              ],
              "q": [
                [
                  283.19165124908847,
                  284.47430343542743
                ],
                [
                  288.76124256089184,
                  284.19165124908847
                ]
              ],
              "tv": [
                284.47430343542743,
                288.76124256089184
              ],
              "residual": 2.0001780609645152,
              "residualBound": 2000.1780609645134
            },
            {
              "k": 134,
              "value": [
                284.47430343542743,
                288.76124256089184
              ],
              "q": [
                [
                  285.189829131992,
                  286.47248131833095
                ],
                [
                  290.7594204437954,
                  286.189829131992
                ]
              ],
              "tv": [
                286.47248131833095,
                290.7594204437954
              ],
              "residual": 1.9981778829035761,
              "residualBound": 1998.1778829035743
            },
            {
              "k": 135,
              "value": [
                286.47248131833095,
                290.7594204437954
              ],
              "q": [
                [
                  287.1860088370126,
                  288.4686610233516
                ],
                [
                  292.75560014881603,
                  288.1860088370126
                ]
              ],
              "tv": [
                288.4686610233516,
                292.75560014881603
              ],
              "residual": 1.9961797050206656,
              "residualBound": 1996.1797050206637
            },
            {
              "k": 136,
              "value": [
                288.4686610233516,
                292.75560014881603
              ],
              "q": [
                [
                  289.1801923623283,
                  290.4628445486672
                ],
                [
                  294.74978367413166,
                  290.1801923623283
                ]
              ],
              "tv": [
                290.4628445486672,
                294.74978367413166
              ],
              "residual": 1.9941835253156341,
              "residualBound": 1994.1835253156323
            },
            {
              "k": 137,
              "value": [
                290.4628445486672,
                294.74978367413166
              ],
              "q": [
                [
                  291.17238170411855,
                  292.4550338904575
                ],
                [
                  296.741973015922,
                  292.17238170411855
                ]
              ],
              "tv": [
                292.4550338904575,
                296.741973015922
              ],
              "residual": 1.992189341790322,
              "residualBound": 1992.1893417903202
            },
            {
              "k": 138,
              "value": [
                292.4550338904575,
                296.741973015922
              ],
              "q": [
                [
                  293.16257885656705,
                  294.4452310429061
                ],
                [
                  298.73217016837043,
                  294.16257885656705
                ]
              ],
              "tv": [
                294.4452310429061,
                298.73217016837043
              ],
              "residual": 1.9901971524485589,
              "residualBound": 1990.197152448557
            },
            {
              "k": 139,
              "value": [
                294.4452310429061,
                298.73217016837043
              ],
              "q": [
                [
                  295.15078581186316,
                  296.43343799820207
                ],
                [
                  300.7203771236665,
                  296.15078581186316
                ]
              ],
              "tv": [
                296.43343799820207,
                300.7203771236665
              ],
              "residual": 1.9882069552960502,
              "residualBound": 1988.2069552960484
            },
            {
              "k": 140,
              "value": [
                296.43343799820207,
                300.7203771236665
              ],
              "q": [
                [
                  297.1370045602039,
                  298.41965674654284
                ],
                [
                  302.70659587200726,
                  298.1370045602039
                ]
              ],
              "tv": [
                298.41965674654284,
                302.70659587200726
              ],
              "residual": 1.9862187483407752,
              "residualBound": 1986.2187483407733
            },
            {
              "k": 141,
              "value": [
                298.41965674654284,
                302.70659587200726
              ],
              "q": [
                [
                  299.1212370897963,
                  300.40388927613526
                ],
                [
                  304.6908284015997,
                  300.1212370897963
                ]
              ],
              "tv": [
                300.40388927613526,
                304.6908284015997
              ],
              "residual": 1.9842325295924184,
              "residualBound": 1984.2325295924165
            },
            {
              "k": 142,
              "value": [
                300.40388927613526,
                304.6908284015997
              ],
              "q": [
                [
                  301.1034853868591,
                  302.3861375731981
                ],
                [
                  306.6730766986625,
                  302.1034853868591
                ]
              ],
              "tv": [
                302.3861375731981,
                306.6730766986625
              ],
              "residual": 1.9822482970628243,
              "residualBound": 1982.2482970628225
            },
            {
              "k": 143,
              "value": [
                302.3861375731981,
                306.6730766986625
              ],
              "q": [
                [
                  303.0837514356249,
                  304.36640362196385
                ],
                [
                  308.65334274742827,
                  304.0837514356249
                ]
              ],
              "tv": [
                304.36640362196385,
                308.65334274742827
              ],
              "residual": 1.9802660487657704,
              "residualBound": 1980.2660487657686
            },
            {
              "k": 144,
              "value": [
                304.36640362196385,
                308.65334274742827
              ],
              "q": [
                [
                  305.0620372183419,
                  306.3446894046808
                ],
                [
                  310.6316285301453,
                  306.0620372183419
                ]
              ],
              "tv": [
                306.3446894046808,
                310.6316285301453
              ],
              "residual": 1.9782857827170233,
              "residualBound": 1978.2857827170214
            },
            {
              "k": 145,
              "value": [
                306.3446894046808,
                310.6316285301453
              ],
              "q": [
                [
                  307.03834471527614,
                  308.32099690161516
                ],
                [
                  312.6079360270795,
                  308.03834471527614
                ]
              ],
              "tv": [
                308.32099690161516,
                312.6079360270795
              ],
              "residual": 1.9763074969343393,
              "residualBound": 1976.3074969343375
            },
            {
              "k": 146,
              "value": [
                308.32099690161516,
                312.6079360270795
              ],
              "q": [
                [
                  309.01267590471355,
                  310.29532809105245
                ],
                [
                  314.58226721651687,
                  310.01267590471355
                ]
              ],
              "tv": [
                310.29532809105245,
                314.58226721651687
              ],
              "residual": 1.9743311894373505,
              "residualBound": 1974.3311894373487
            },
            {
              "k": 147,
              "value": [
                310.29532809105245,
                314.58226721651687
              ],
              "q": [
                [
                  310.9850327629614,
                  312.26768494930036
                ],
                [
                  316.5546240747647,
                  311.9850327629614
                ]
              ],
              "tv": [
                312.26768494930036,
                316.5546240747647
              ],
              "residual": 1.972356858247906,
              "residualBound": 1972.3568582479043
            },
            {
              "k": 148,
              "value": [
                312.26768494930036,
                316.5546240747647
              ],
              "q": [
                [
                  312.95541726435107,
                  314.23806945069
                ],
                [
                  318.5250085761544,
                  313.95541726435107
                ]
              ],
              "tv": [
                314.23806945069,
                318.5250085761544
              ],
              "residual": 1.970384501389674,
              "residualBound": 1970.384501389672
            },
            {
              "k": 149,
              "value": [
                314.23806945069,
                318.5250085761544
              ],
              "q": [
                [
                  314.92383138123927,
                  316.20648356757823
                ],
                [
                  320.4934226930427,
                  315.92383138123927
                ]
              ],
              "tv": [
                316.20648356757823,
                320.4934226930427
              ],
              "residual": 1.9684141168883116,
              "residualBound": 1968.4141168883098
            },
            {
              "k": 150,
              "value": [
                316.20648356757823,
                320.4934226930427
              ],
              "q": [
                [
                  316.8902770840107,
                  318.17292927034964
                ],
                [
                  322.4598683958141,
                  317.8902770840107
                ]
              ],
              "tv": [
                318.17292927034964,
                322.4598683958141
              ],
              "residual": 1.9664457027714093,
              "residualBound": 1966.4457027714075
            },
            {
              "k": 151,
              "value": [
                318.17292927034964,
                322.4598683958141
              ],
              "q": [
                [
                  318.8547563410793,
                  320.1374085274183
                ],
                [
                  324.42434765288266,
                  319.8547563410793
                ]
              ],
              "tv": [
                320.1374085274183,
                324.42434765288266
              ],
              "residual": 1.9644792570686604,
              "residualBound": 1964.4792570686586
            },
            {
              "k": 152,
              "value": [
                320.1374085274183,
                324.42434765288266
              ],
              "q": [
                [
                  320.81727111889086,
                  322.09992330522977
                ],
                [
                  326.38686243069424,
                  321.81727111889086
                ]
              ],
              "tv": [
                322.09992330522977,
                326.38686243069424
              ],
              "residual": 1.9625147778115775,
              "residualBound": 1962.5147778115756
            },
            {
              "k": 153,
              "value": [
                322.09992330522977,
                326.38686243069424
              ],
              "q": [
                [
                  322.7778233819245,
                  324.06047556826354
                ],
                [
                  328.347414693728,
                  323.7778233819245
                ]
              ],
              "tv": [
                324.06047556826354,
                328.347414693728
              ],
              "residual": 1.960552263033776,
              "residualBound": 1960.5522630337741
            },
            {
              "k": 154,
              "value": [
                324.06047556826354,
                328.347414693728
              ],
              "q": [
                [
                  324.73641509269527,
                  326.0190672790343
                ],
                [
                  330.30600640449865,
                  325.73641509269527
                ]
              ],
              "tv": [
                326.0190672790343,
                330.30600640449865
              ],
              "residual": 1.9585917107707473,
              "residualBound": 1958.5917107707455
            },
            {
              "k": 155,
              "value": [
                326.0190672790343,
                330.30600640449865
              ],
              "q": [
                [
                  326.69304821175524,
                  327.97570039809415
                ],
                [
                  332.26263952355856,
                  327.69304821175524
                ]
              ],
              "tv": [
                327.97570039809415,
                332.26263952355856
              ],
              "residual": 1.9566331190599158,
              "residualBound": 1956.633119059914
            },
            {
              "k": 156,
              "value": [
                327.97570039809415,
                332.26263952355856
              ],
              "q": [
                [
                  328.64772469769605,
                  329.930376884035
                ],
                [
                  334.21731600949937,
                  329.64772469769605
                ]
              ],
              "tv": [
                329.930376884035,
                334.21731600949937
              ],
              "residual": 1.9546764859408654,
              "residualBound": 1954.6764859408636
            },
            {
              "k": 157,
              "value": [
                329.930376884035,
                334.21731600949937
              ],
              "q": [
                [
                  330.600446507151,
                  331.8830986934899
                ],
                [
                  336.1700378189543,
                  331.600446507151
                ]
              ],
              "tv": [
                331.8830986934899,
                336.1700378189543
              ],
              "residual": 1.9527218094549426,
              "residualBound": 1952.7218094549407
            },
            {
              "k": 158,
              "value": [
                331.8830986934899,
                336.1700378189543
              ],
              "q": [
                [
                  332.5512155947964,
                  333.8338677811354
                ],
                [
                  338.12080690659974,
                  333.5512155947964
                ]
              ],
              "tv": [
                333.8338677811354,
                338.12080690659974
              ],
              "residual": 1.950769087645483,
              "residualBound": 1950.7690876454812
            },
            {
              "k": 159,
              "value": [
                333.8338677811354,
                338.12080690659974
              ],
              "q": [
                [
                  334.50003391335423,
                  335.78268609969314
                ],
                [
                  340.0696252251576,
                  335.50003391335423
                ]
              ],
              "tv": [
                335.78268609969314,
                340.0696252251576
              ],
              "residual": 1.9488183185578691,
              "residualBound": 1948.8183185578673
            },
            {
              "k": 160,
              "value": [
                335.78268609969314,
                340.0696252251576
              ],
              "q": [
                [
                  336.4469034135934,
                  337.72955559993244
                ],
                [
                  342.01649472539685,
                  337.4469034135934
                ]
              ],
              "tv": [
                337.72955559993244,
                342.01649472539685
              ],
              "residual": 1.946869500239302,
              "residualBound": 1946.8695002393001
            },
            {
              "k": 161,
              "value": [
                337.72955559993244,
                342.01649472539685
              ],
              "q": [
                [
                  338.3918260443325,
                  339.67447823067147
                ],
                [
                  343.9614173561358,
                  339.3918260443325
                ]
              ],
              "tv": [
                339.67447823067147,
                343.9614173561358
              ],
              "residual": 1.944922630739029,
              "residualBound": 1944.9226307390272
            },
            {
              "k": 162,
              "value": [
                339.67447823067147,
                343.9614173561358
              ],
              "q": [
                [
                  340.3348037524408,
                  341.6174559387797
                ],
                [
                  345.9043950642441,
                  341.3348037524408
                ]
              ],
              "tv": [
                341.6174559387797,
                345.9043950642441
              ],
              "residual": 1.9429777081082875,
              "residualBound": 1942.9777081082857
            },
            {
              "k": 163,
              "value": [
                341.6174559387797,
                345.9043950642441
              ],
              "q": [
                [
                  342.2758384828409,
                  343.5584906691799
                ],
                [
                  347.8454297946443,
                  343.2758384828409
                ]
              ],
              "tv": [
                343.5584906691799,
                347.8454297946443
              ],
              "residual": 1.9410347304001903,
              "residualBound": 1941.0347304001884
            },
            {
              "k": 164,
              "value": [
                343.5584906691799,
                347.8454297946443
              ],
              "q": [
                [
                  344.2149321785107,
                  345.4975843648497
                ],
                [
                  349.78452349031403,
                  345.2149321785107
                ]
              ],
              "tv": [
                345.4975843648497,
                349.78452349031403
              ],
              "residual": 1.9390936956697828,
              "residualBound": 1939.093695669781
            },
            {
              "k": 165,
              "value": [
                345.4975843648497,
                349.78452349031403
              ],
              "q": [
                [
                  346.1520867804848,
                  347.4347389668237
                ],
                [
                  351.72167809228813,
                  347.1520867804848
                ]
              ],
              "tv": [
                347.4347389668237,
                351.72167809228813
              ],
              "residual": 1.9371546019741004,
              "residualBound": 1937.1546019740986
            },
            {
              "k": 166,
              "value": [
                347.4347389668237,
                351.72167809228813
              ],
              "q": [
                [
                  348.0873042278569,
                  349.3699564141958
                ],
                [
                  353.6568955396603,
                  349.0873042278569
                ]
              ],
              "tv": [
                349.3699564141958,
                353.6568955396603
              ],
              "residual": 1.9352174473721675,
              "residualBound": 1935.2174473721657
            },
            {
              "k": 167,
              "value": [
                349.3699564141958,
                353.6568955396603
              ],
              "q": [
                [
                  350.02058645778163,
                  351.30323864412065
                ],
                [
                  355.590177769585,
                  351.02058645778163
                ]
              ],
              "tv": [
                351.30323864412065,
                355.590177769585
              ],
              "residual": 1.9332822299248278,
              "residualBound": 1933.282229924826
            },
            {
              "k": 168,
              "value": [
                351.30323864412065,
                355.590177769585
              ],
              "q": [
                [
                  351.95193540547655,
                  353.2345875918154
                ],
                [
                  357.52152671727987,
                  352.95193540547655
                ]
              ],
              "tv": [
                353.2345875918154,
                357.52152671727987
              ],
              "residual": 1.9313489476948575,
              "residualBound": 1931.3489476948557
            },
            {
              "k": 169,
              "value": [
                353.2345875918154,
                357.52152671727987
              ],
              "q": [
                [
                  353.88135300422357,
                  355.1640051905626
                ],
                [
                  359.45094431602695,
                  354.88135300422357
                ]
              ],
              "tv": [
                355.1640051905626,
                359.45094431602695
              ],
              "residual": 1.929417598747193,
              "residualBound": 1929.4175987471913
            },
            {
              "k": 170,
              "value": [
                355.1640051905626,
                359.45094431602695
              ],
              "q": [
                [
                  355.80884118537205,
                  357.0914933717109
                ],
                [
                  361.37843249717537,
                  356.80884118537205
                ]
              ],
              "tv": [
                357.0914933717109,
                361.37843249717537
              ],
              "residual": 1.9274881811484192,
              "residualBound": 1927.4881811484174
            },
            {
              "k": 171,
              "value": [
                357.0914933717109,
                361.37843249717537
              ],
              "q": [
                [
                  357.7344018783392,
                  359.0170540646782
                ],
                [
                  363.3039931901426,
                  358.7344018783392
                ]
              ],
              "tv": [
                359.0170540646782,
                363.3039931901426
              ],
              "residual": 1.9255606929672808,
              "residualBound": 1925.560692967279
            },
            {
              "k": 172,
              "value": [
                359.0170540646782,
                363.3039931901426
              ],
              "q": [
                [
                  359.6580370106135,
                  360.94068919695246
                ],
                [
                  365.2276283224169,
                  360.6580370106135
                ]
              ],
              "tv": [
                360.94068919695246,
                365.2276283224169
              ],
              "residual": 1.9236351322742848,
              "residualBound": 1923.635132274283
            },
            {
              "k": 173,
              "value": [
                360.94068919695246,
                365.2276283224169
              ],
              "q": [
                [
                  361.5797485077555,
                  362.86240069409445
                ],
                [
                  367.1493398195589,
                  362.5797485077555
                ]
              ],
              "tv": [
                362.86240069409445,
                367.1493398195589
              ],
              "residual": 1.9217114971420415,
              "residualBound": 1921.7114971420397
            },
            {
              "k": 174,
              "value": [
                362.86240069409445,
                367.1493398195589
              ],
              "q": [
                [
                  363.49953829340035,
                  364.78219047973937
                ],
                [
                  369.0691296052037,
                  364.49953829340035
                ]
              ],
              "tv": [
                364.78219047973937,
                369.0691296052037
              ],
              "residual": 1.919789785644923,
              "residualBound": 1919.7897856449215
            },
            {
              "k": 175,
              "value": [
                364.78219047973937,
                369.0691296052037
              ],
              "q": [
                [
                  365.41740828925964,
                  366.70006047559855
                ],
                [
                  370.98699960106296,
                  366.41740828925964
                ]
              ],
              "tv": [
                366.70006047559855,
                370.98699960106296
              ],
              "residual": 1.9178699958592347,
              "residualBound": 1917.869995859233
            },
            {
              "k": 176,
              "value": [
                366.70006047559855,
                370.98699960106296
              ],
              "q": [
                [
                  367.33336041512297,
                  368.6160126014619
                ],
                [
                  372.90295172692635,
                  368.33336041512297
                ]
              ],
              "tv": [
                368.6160126014619,
                372.90295172692635
              ],
              "residual": 1.9159521258633845,
              "residualBound": 1915.952125863383
            },
            {
              "k": 177,
              "value": [
                368.6160126014619,
                372.90295172692635
              ],
              "q": [
                [
                  369.2473965888604,
                  370.5300487751994
                ],
                [
                  374.81698790066383,
                  370.2473965888604
                ]
              ],
              "tv": [
                370.5300487751994,
                374.81698790066383
              ],
              "residual": 1.9140361737375429,
              "residualBound": 1914.0361737375413
            },
            {
              "k": 178,
              "value": [
                370.5300487751994,
                374.81698790066383
              ],
              "q": [
                [
                  371.1595187264242,
                  372.4421709127632
                ],
                [
                  376.7291100382276,
                  372.1595187264242
                ]
              ],
              "tv": [
                372.4421709127632,
                376.7291100382276
              ],
              "residual": 1.912122137563756,
              "residualBound": 1912.1221375637544
            },
            {
              "k": 179,
              "value": [
                372.4421709127632,
                376.7291100382276
              ],
              "q": [
                [
                  373.0697287418504,
                  374.35238092818935
                ],
                [
                  378.63932005365376,
                  374.0697287418504
                ]
              ],
              "tv": [
                374.35238092818935,
                378.63932005365376
              ],
              "residual": 1.9102100154261734,
              "residualBound": 1910.2100154261718
            },
            {
              "k": 180,
              "value": [
                374.35238092818935,
                378.63932005365376
              ],
              "q": [
                [
                  374.97802854726115,
                  376.2606807336001
                ],
                [
                  380.54761985906447,
                  375.97802854726115
                ]
              ],
              "tv": [
                376.2606807336001,
                380.54761985906447
              ],
              "residual": 1.9082998054107634,
              "residualBound": 1908.2998054107618
            },
            {
              "k": 181,
              "value": [
                376.2606807336001,
                380.54761985906447
              ],
              "q": [
                [
                  376.8844200528665,
                  378.1670722392054
                ],
                [
                  382.45401136466984,
                  377.8844200528665
                ]
              ],
              "tv": [
                378.1670722392054,
                382.45401136466984
              ],
              "residual": 1.9063915056053702,
              "residualBound": 1906.3915056053686
            },
            {
              "k": 182,
              "value": [
                378.1670722392054,
                382.45401136466984
              ],
              "q": [
                [
                  378.78890516696623,
                  380.0715573533052
                ],
                [
                  384.35849647876955,
                  379.78890516696623
                ]
              ],
              "tv": [
                380.0715573533052,
                384.35849647876955
              ],
              "residual": 1.9044851140997707,
              "residualBound": 1904.4851140997691
            },
            {
              "k": 183,
              "value": [
                380.0715573533052,
                384.35849647876955
              ],
              "q": [
                [
                  380.6914857959519,
                  381.97413798229076
                ],
                [
                  386.2610771077552,
                  381.6914857959519
                ]
              ],
              "tv": [
                381.97413798229076,
                386.2610771077552
              ],
              "residual": 1.9025806289856746,
              "residualBound": 1902.580628985673
            },
            {
              "k": 184,
              "value": [
                381.97413798229076,
                386.2610771077552
              ],
              "q": [
                [
                  382.59216384430846,
                  383.8748160306475
                ],
                [
                  388.16175515611184,
                  383.59216384430846
                ]
              ],
              "tv": [
                383.8748160306475,
                388.16175515611184
              ],
              "residual": 1.900678048356724,
              "residualBound": 1900.6780483567225
            },
            {
              "k": 185,
              "value": [
                383.8748160306475,
                388.16175515611184
              ],
              "q": [
                [
                  384.49094121461684,
                  385.77359340095575
                ],
                [
                  390.06053252642016,
                  385.49094121461684
                ]
              ],
              "tv": [
                385.77359340095575,
                390.06053252642016
              ],
              "residual": 1.8987773703083235,
              "residualBound": 1898.777370308322
            },
            {
              "k": 186,
              "value": [
                385.77359340095575,
                390.06053252642016
              ],
              "q": [
                [
                  386.38781980755476,
                  387.6704719938937
                ],
                [
                  391.9574111193582,
                  387.38781980755476
                ]
              ],
              "tv": [
                387.6704719938937,
                391.9574111193582
              ],
              "residual": 1.8968785929380374,
              "residualBound": 1896.8785929380358
            },
            {
              "k": 187,
              "value": [
                387.6704719938937,
                391.9574111193582
              ],
              "q": [
                [
                  388.28280152189984,
                  389.56545370823886
                ],
                [
                  393.8523928337032,
                  389.28280152189984
                ]
              ],
              "tv": [
                389.56545370823886,
                393.8523928337032
              ],
              "residual": 1.8949817143451355,
              "residualBound": 1894.981714345134
            },
            {
              "k": 188,
              "value": [
                389.56545370823886,
                393.8523928337032
              ],
              "q": [
                [
                  390.1758882545306,
                  391.4585404408695
                ],
                [
                  395.745479566334,
                  391.1758882545306
                ]
              ],
              "tv": [
                391.4585404408695,
                395.745479566334
              ],
              "residual": 1.8930867326307634,
              "residualBound": 1893.0867326307618
            },
            {
              "k": 189,
              "value": [
                391.4585404408695,
                395.745479566334
              ],
              "q": [
                [
                  392.06708190042866,
                  393.3497340867676
                ],
                [
                  397.63667321223204,
                  393.06708190042866
                ]
              ],
              "tv": [
                393.3497340867676,
                397.63667321223204
              ],
              "residual": 1.8911936458981131,
              "residualBound": 1891.1936458981115
            },
            {
              "k": 190,
              "value": [
                393.3497340867676,
                397.63667321223204
              ],
              "q": [
                [
                  393.95638435268086,
                  395.2390365390198
                ],
                [
                  399.52597566448424,
                  394.95638435268086
                ]
              ],
              "tv": [
                395.2390365390198,
                399.52597566448424
              ],
              "residual": 1.8893024522521955,
              "residualBound": 1889.302452252194
            },
            {
              "k": 191,
              "value": [
                395.2390365390198,
                399.52597566448424
              ],
              "q": [
                [
                  395.8437975024808,
                  397.1264496888198
                ],
                [
                  401.4133888142842,
                  396.8437975024808
                ]
              ],
              "tv": [
                397.1264496888198,
                401.4133888142842
              ],
              "residual": 1.8874131497999542,
              "residualBound": 1887.4131497999526
            },
            {
              "k": 192,
              "value": [
                397.1264496888198,
                401.4133888142842
              ],
              "q": [
                [
                  397.72932323913096,
                  399.0119754254699
                ],
                [
                  403.29891455093434,
                  398.72932323913096
                ]
              ],
              "tv": [
                399.0119754254699,
                403.29891455093434
              ],
              "residual": 1.8855257366501519,
              "residualBound": 1885.5257366501503
            },
            {
              "k": 193,
              "value": [
                399.0119754254699,
                403.29891455093434
              ],
              "q": [
                [
                  399.61296345004445,
                  400.8956156363834
                ],
                [
                  405.1825547618478,
                  400.61296345004445
                ]
              ],
              "tv": [
                400.8956156363834,
                405.1825547618478
              ],
              "residual": 1.8836402109134838,
              "residualBound": 1883.6402109134822
            },
            {
              "k": 194,
              "value": [
                400.8956156363834,
                405.1825547618478
              ],
              "q": [
                [
                  401.494720020747,
                  402.777372207086
                ],
                [
                  407.06431133255035,
                  402.494720020747
                ]
              ],
              "tv": [
                402.777372207086,
                407.06431133255035
              ],
              "residual": 1.8817565707025778,
              "residualBound": 1881.7565707025763
            },
            {
              "k": 195,
              "value": [
                402.777372207086,
                407.06431133255035
              ],
              "q": [
                [
                  403.3745948348789,
                  404.6572470212178
                ],
                [
                  408.9441861466822,
                  404.3745948348789
                ]
              ],
              "tv": [
                404.6572470212178,
                408.9441861466822
              ],
              "residual": 1.879874814131881,
              "residualBound": 1879.8748141318795
            },
            {
              "k": 196,
              "value": [
                404.6572470212178,
                408.9441861466822
              ],
              "q": [
                [
                  405.2525897741966,
                  406.53524196053553
                ],
                [
                  410.822181086,
                  406.2525897741966
                ]
              ],
              "tv": [
                406.53524196053553,
                410.822181086
              ],
              "residual": 1.877994939317773,
              "residualBound": 1877.9949393177715
            },
            {
              "k": 197,
              "value": [
                406.53524196053553,
                410.822181086
              ],
              "q": [
                [
                  407.128706718575,
                  408.411358904914
                ],
                [
                  412.6982980303784,
                  408.128706718575
                ]
              ],
              "tv": [
                408.411358904914,
                412.6982980303784
              ],
              "residual": 1.8761169443784524,
              "residualBound": 1876.1169443784509
            },
            {
              "k": 198,
              "value": [
                408.411358904914,
                412.6982980303784
              ],
              "q": [
                [
                  409.00294754600907,
                  410.28559973234803
                ],
                [
                  414.57253885781245,
                  410.00294754600907
                ]
              ],
              "tv": [
                410.28559973234803,
                414.57253885781245
              ],
              "residual": 1.8742408274340505,
              "residualBound": 1874.240827434049
            },
            {
              "k": 199,
              "value": [
                410.28559973234803,
                414.57253885781245
              ],
              "q": [
                [
                  410.8753141326157,
                  412.1579663189546
                ],
                [
                  416.4449054444191,
                  411.8753141326157
                ]
              ],
              "tv": [
                412.1579663189546,
                416.4449054444191
              ],
              "residual": 1.8723665866066312,
              "residualBound": 1872.3665866066297
            },
            {
              "k": 200,
              "value": [
                412.1579663189546,
                416.4449054444191
              ],
              "q": [
                [
                  412.74580835263566,
                  414.0284605389747
                ],
                [
                  418.3153996644391,
                  413.74580835263566
                ]
              ],
              "tv": [
                414.0284605389747,
                418.3153996644391
              ],
              "residual": 1.8704942200200776,
              "residualBound": 1870.494220020076
            }
          ],
          "finalValue": [
            412.1579663189546,
            416.4449054444191
          ]
        },
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.0010000000000000009,
                  0
                ],
                [
                  -0.3996,
                  0.40060000000000007
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.0004006000000000004,
              "value": [
                999.9999999999991,
                1007.4887668497244
              ]
            },
            "value": [
              999.9999999999991,
              1007.4887668497244
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "system": {
              "matrix": [
                [
                  0.0010000000000000009,
                  0
                ],
                [
                  -0.999,
                  1
                ]
              ],
              "right": [
                1,
                2
              ],
              "det": 0.0010000000000000009,
              "value": [
                999.9999999999991,
                1000.999999999999
              ]
            },
            "value": [
              999.9999999999991,
              1000.999999999999
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.999
                ],
                [
                  -0.3996,
                  0.40060000000000007
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.0013996000000000564,
              "value": [
                2282.652186338862,
                2286.9391254643265
              ]
            },
            "value": [
              2282.652186338862,
              2286.9391254643265
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.999
                ],
                [
                  -0.999,
                  1
                ]
              ],
              "right": [
                -2,
                2
              ],
              "det": 0.001998999999999973,
              "value": [
                -1.0005002501250768,
                1.0005002501250768
              ]
            },
            "value": [
              -1.0005002501250768,
              1.0005002501250768
            ]
          }
        ],
        "pi": {
          "rows": [
            {
              "k": 0,
              "policy": [
                0,
                1
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  1,
                  0
                ]
              ],
              "r": [
                1,
                2
              ],
              "system": {
                "matrix": [
                  [
                    0.0010000000000000009,
                    0
                  ],
                  [
                    -0.999,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.0010000000000000009,
                "value": [
                  999.9999999999991,
                  1000.999999999999
                ]
              },
              "value": [
                999.9999999999991,
                1000.999999999999
              ],
              "q": [
                [
                  999.9999999999991,
                  997.998999999999
                ],
                [
                  1003.599399999999,
                  1000.9999999999991
                ]
              ],
              "tolerance": 1.4262005265663888e-11,
              "improved": [
                0,
                0
              ],
              "advantage": [
                0,
                2.599399999999946
              ],
              "stable": false
            },
            {
              "k": 1,
              "policy": [
                0,
                0
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                1,
                4
              ],
              "system": {
                "matrix": [
                  [
                    0.0010000000000000009,
                    0
                  ],
                  [
                    -0.3996,
                    0.40060000000000007
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.0004006000000000004,
                "value": [
                  999.9999999999991,
                  1007.4887668497244
                ]
              },
              "value": [
                999.9999999999991,
                1007.4887668497244
              ],
              "q": [
                [
                  999.9999999999991,
                  1004.4812780828746
                ],
                [
                  1007.4887668497245,
                  1000.9999999999991
                ]
              ],
              "tolerance": 1.4317276492899459e-11,
              "improved": [
                1,
                0
              ],
              "advantage": [
                4.481278082875519,
                0
              ],
              "stable": false
            },
            {
              "k": 2,
              "policy": [
                1,
                0
              ],
              "P": [
                [
                  0,
                  1
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                -2,
                4
              ],
              "system": {
                "matrix": [
                  [
                    1,
                    -0.999
                  ],
                  [
                    -0.3996,
                    0.40060000000000007
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.0013996000000000564,
                "value": [
                  2282.652186338862,
                  2286.9391254643265
                ]
              },
              "value": [
                2282.652186338862,
                2286.9391254643265
              ],
              "q": [
                [
                  2281.369534152523,
                  2282.652186338862
                ],
                [
                  2286.9391254643265,
                  2282.369534152523
                ]
              ],
              "tolerance": 3.249935965448467e-11,
              "improved": [
                1,
                0
              ],
              "advantage": [
                0,
                0
              ],
              "stable": true
            }
          ],
          "finalPolicy": [
            1,
            0
          ],
          "finalValue": [
            2282.652186338862,
            2286.9391254643265
          ]
        },
        "lp": {
          "vertices": [
            {
              "i": 0,
              "j": 1,
              "system": {
                "matrix": [
                  [
                    0.0010000000000000009,
                    0
                  ],
                  [
                    1,
                    -0.999
                  ]
                ],
                "right": [
                  1,
                  -2
                ],
                "det": -0.000999000000000001,
                "value": [
                  999.999999999999,
                  1003.003003003002
                ]
              },
              "value": [
                999.999999999999,
                1003.003003003002
              ],
              "slacks": [
                -1.1102230246251565e-16,
                -1.1368683772161603e-13,
                -1.7969969969969384,
                2.003003003003073
              ],
              "tolerance": 0.000001003003003003002,
              "feasible": false,
              "objective": 1001.5015015015006
            },
            {
              "i": 0,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    0.0010000000000000009,
                    0
                  ],
                  [
                    -0.3996,
                    0.40060000000000007
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.0004006000000000004,
                "value": [
                  999.9999999999991,
                  1007.4887668497244
                ]
              },
              "value": [
                999.9999999999991,
                1007.4887668497244
              ],
              "slacks": [
                0,
                -4.481278082875519,
                0,
                6.488766849725266
              ],
              "tolerance": 0.0000010074887668497244,
              "feasible": false,
              "objective": 1003.7443834248618
            },
            {
              "i": 0,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    0.0010000000000000009,
                    0
                  ],
                  [
                    -0.999,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.0010000000000000009,
                "value": [
                  999.9999999999991,
                  1000.999999999999
                ]
              },
              "value": [
                999.9999999999991,
                1000.999999999999
              ],
              "slacks": [
                0,
                2.00100000000009,
                -2.599399999999946,
                -1.1368683772161603e-13
              ],
              "tolerance": 0.000001000999999999999,
              "feasible": false,
              "objective": 1000.4999999999991
            },
            {
              "i": 1,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.999
                  ],
                  [
                    -0.3996,
                    0.40060000000000007
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.0013996000000000564,
                "value": [
                  2282.652186338862,
                  2286.9391254643265
                ]
              },
              "value": [
                2282.652186338862,
                2286.9391254643265
              ],
              "slacks": [
                1.282652186338864,
                0,
                0,
                4.569591311803379
              ],
              "tolerance": 0.0000022869391254643265,
              "feasible": true,
              "objective": 2284.7956559015943
            },
            {
              "i": 1,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.999
                  ],
                  [
                    -0.999,
                    1
                  ]
                ],
                "right": [
                  -2,
                  2
                ],
                "det": 0.001998999999999973,
                "value": [
                  -1.0005002501250768,
                  1.0005002501250768
                ]
              },
              "value": [
                -1.0005002501250768,
                1.0005002501250768
              ],
              "slacks": [
                -1.001000500250125,
                -2.842170943040401e-14,
                -3.1993996998499137,
                2.842170943040401e-14
              ],
              "tolerance": 1.0005002501250768e-9,
              "feasible": false,
              "objective": 0
            },
            {
              "i": 2,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    -0.3996,
                    0.40060000000000007
                  ],
                  [
                    -0.999,
                    1
                  ]
                ],
                "right": [
                  4,
                  2
                ],
                "det": 0.0005994000000000832,
                "value": [
                  5336.670003335929,
                  5333.333333332594
                ]
              },
              "value": [
                5336.670003335929,
                5333.333333332594
              ],
              "slacks": [
                4.336670003335934,
                10.670003336668742,
                0,
                0
              ],
              "tolerance": 0.00000533667000333593,
              "feasible": true,
              "objective": 5335.001668334262
            }
          ],
          "best": {
            "i": 1,
            "j": 2,
            "system": {
              "matrix": [
                [
                  1,
                  -0.999
                ],
                [
                  -0.3996,
                  0.40060000000000007
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.0013996000000000564,
              "value": [
                2282.652186338862,
                2286.9391254643265
              ]
            },
            "value": [
              2282.652186338862,
              2286.9391254643265
            ],
            "slacks": [
              1.282652186338864,
              0,
              0,
              4.569591311803379
            ],
            "tolerance": 0.0000022869391254643265,
            "feasible": true,
            "objective": 2284.7956559015943
          },
          "dual": {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.3996
                ],
                [
                  -0.999,
                  0.40060000000000007
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.0013996000000000564,
              "value": [
                285.8673906830408,
                714.132609316919
              ]
            },
            "z": [
              285.8673906830408,
              714.132609316919
            ],
            "x": [
              [
                0,
                285.8673906830408
              ],
              [
                714.132609316919,
                0
              ]
            ],
            "flow": [
              -5.684341886080802e-14,
              0
            ],
            "total": 999.9999999999598,
            "reward": 2284.7956559015943,
            "travel": 285.8673906830408,
            "value": [
              2282.652186338862,
              2286.9391254643265
            ],
            "weightedValue": 2284.7956559015943
          },
          "gap": 0,
          "complementarity": [
            0,
            0,
            0,
            0
          ],
          "complementaritySum": 0
        },
        "occupancies": [
          {
            "policy": [
              0,
              0
            ],
            "system": {
              "matrix": [
                [
                  0.0010000000000000009,
                  -0.3996
                ],
                [
                  0,
                  0.40060000000000007
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.0004006000000000004,
              "value": [
                998.7518721917114,
                1.2481278082875684
              ]
            },
            "z": [
              998.7518721917114,
              1.2481278082875684
            ],
            "x": [
              [
                998.7518721917114,
                0
              ],
              [
                1.2481278082875684,
                0
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 999.999999999999,
            "reward": 1003.7443834248617,
            "travel": 0,
            "value": [
              999.9999999999991,
              1007.4887668497244
            ],
            "weightedValue": 1003.7443834248618
          },
          {
            "policy": [
              0,
              1
            ],
            "system": {
              "matrix": [
                [
                  0.0010000000000000009,
                  -0.999
                ],
                [
                  0,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.0010000000000000009,
              "value": [
                999.4999999999992,
                0.5
              ]
            },
            "z": [
              999.4999999999992,
              0.5
            ],
            "x": [
              [
                999.4999999999992,
                0
              ],
              [
                0,
                0.5
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 999.9999999999992,
            "reward": 1000.4999999999992,
            "travel": 0,
            "value": [
              999.9999999999991,
              1000.999999999999
            ],
            "weightedValue": 1000.4999999999991
          },
          {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.3996
                ],
                [
                  -0.999,
                  0.40060000000000007
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.0013996000000000564,
              "value": [
                285.8673906830408,
                714.132609316919
              ]
            },
            "z": [
              285.8673906830408,
              714.132609316919
            ],
            "x": [
              [
                0,
                285.8673906830408
              ],
              [
                714.132609316919,
                0
              ]
            ],
            "flow": [
              -5.684341886080802e-14,
              0
            ],
            "total": 999.9999999999598,
            "reward": 2284.7956559015943,
            "travel": 285.8673906830408,
            "value": [
              2282.652186338862,
              2286.9391254643265
            ],
            "weightedValue": 2284.7956559015943
          },
          {
            "policy": [
              1,
              1
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.999
                ],
                [
                  -0.999,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.001998999999999973,
              "value": [
                500.00000000000676,
                500.00000000000676
              ]
            },
            "z": [
              500.00000000000676,
              500.00000000000676
            ],
            "x": [
              [
                0,
                500.00000000000676
              ],
              [
                0,
                500.00000000000676
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 1000.0000000000135,
            "reward": 0,
            "travel": 500.00000000000676,
            "value": [
              -1.0005002501250768,
              1.0005002501250768
            ],
            "weightedValue": 0
          }
        ],
        "constrained": {
          "budget": 1,
          "candidates": [
            {
              "i": 0,
              "j": 0,
              "lambda": 1,
              "x": [
                [
                  998.7518721917114,
                  0
                ],
                [
                  1.2481278082875684,
                  0
                ]
              ],
              "travel": 0,
              "reward": 1003.7443834248617,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 1,
              "j": 1,
              "lambda": 1,
              "x": [
                [
                  999.4999999999992,
                  0
                ],
                [
                  0,
                  0.5
                ]
              ],
              "travel": 0,
              "reward": 1000.4999999999992,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 2,
              "j": 2,
              "lambda": 1,
              "x": [
                [
                  0,
                  285.8673906830408
                ],
                [
                  714.132609316919,
                  0
                ]
              ],
              "travel": 285.8673906830408,
              "reward": 2284.7956559015943,
              "budgetSlack": -284.8673906830408,
              "feasible": false
            },
            {
              "i": 3,
              "j": 3,
              "lambda": 1,
              "x": [
                [
                  0,
                  500.00000000000676
                ],
                [
                  0,
                  500.00000000000676
                ]
              ],
              "travel": 500.00000000000676,
              "reward": 0,
              "budgetSlack": -499.00000000000676,
              "feasible": false
            },
            {
              "i": 0,
              "j": 2,
              "lambda": 0.9965018745313671,
              "x": [
                [
                  995.2581128307528,
                  0.9999999999999847
                ],
                [
                  3.741887169246092,
                  0
                ]
              ],
              "travel": 0.9999999999999847,
              "reward": 1008.2256615077372,
              "budgetSlack": 1.532107773982716e-14,
              "feasible": true
            },
            {
              "i": 0,
              "j": 3,
              "lambda": 0.998,
              "x": [
                [
                  996.754368447328,
                  1.0000000000000144
                ],
                [
                  1.2456315526709933,
                  1.0000000000000144
                ]
              ],
              "travel": 1.0000000000000144,
              "reward": 1001.736894658012,
              "budgetSlack": -1.4432899320127035e-14,
              "feasible": true
            },
            {
              "i": 1,
              "j": 2,
              "lambda": 0.9965018745313671,
              "x": [
                [
                  996.0036235941006,
                  0.9999999999999847
                ],
                [
                  2.4981254686328036,
                  0.49825093726568354
                ]
              ],
              "travel": 0.9999999999999847,
              "reward": 1004.9926273431632,
              "budgetSlack": 1.532107773982716e-14,
              "feasible": true
            },
            {
              "i": 1,
              "j": 3,
              "lambda": 0.998,
              "x": [
                [
                  997.5009999999992,
                  1.0000000000000144
                ],
                [
                  0,
                  1.4990000000000143
                ]
              ],
              "travel": 1.0000000000000144,
              "reward": 998.4989999999992,
              "budgetSlack": -1.4432899320127035e-14,
              "feasible": true
            }
          ],
          "best": {
            "i": 0,
            "j": 2,
            "lambda": 0.9965018745313671,
            "x": [
              [
                995.2581128307528,
                0.9999999999999847
              ],
              [
                3.741887169246092,
                0
              ]
            ],
            "travel": 0.9999999999999847,
            "reward": 1008.2256615077372,
            "budgetSlack": 1.532107773982716e-14,
            "feasible": true
          },
          "recovery": {
            "z": [
              996.2581128307528,
              3.741887169246092
            ],
            "pi": [
              [
                0.9989962440585215,
                0.0010037559414784586
              ],
              [
                1,
                0
              ]
            ],
            "P": [
              [
                0.9989962440585215,
                0.0010037559414784586
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              0.9969887321755646,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.0020027521855370267,
                  -0.00100275218553698
                ],
                [
                  -0.3996,
                  0.40060000000000007
                ]
              ],
              "right": [
                0.9969887321755646,
                4
              ],
              "det": 0.00040160275218555574,
              "value": [
                1004.486878280383,
                1011.964444735
              ]
            },
            "weightedValue": 1008.2256615076915,
            "flow": [
              0,
              -4.440892098500626e-16
            ]
          },
          "shadow": [
            {
              "eta": 0,
              "value": [
                2282.652186338862,
                2286.9391254643265
              ],
              "slacks": [
                1.282652186338864,
                0,
                0,
                4.569591311803379
              ],
              "objective": 2284.7956559015943
            },
            {
              "eta": 4.481278082875549,
              "value": [
                999.9999999999991,
                1007.4887668497244
              ],
              "slacks": [
                0,
                2.930988785010413e-14,
                0,
                6.488766849725266
              ],
              "objective": 1008.2256615077373
            },
            {
              "eta": 4.492627343164071,
              "value": [
                999.9999999999991,
                1007.4887668497244
              ],
              "slacks": [
                0,
                0.011349260288551655,
                0,
                6.488766849725266
              ],
              "objective": 1008.2370107680258
            }
          ],
          "dual": {
            "eta": 4.481278082875549,
            "value": [
              999.9999999999991,
              1007.4887668497244
            ],
            "slacks": [
              0,
              2.930988785010413e-14,
              0,
              6.488766849725266
            ],
            "objective": 1008.2256615077373
          },
          "gap": 1.1368683772161603e-13,
          "complementarity": [
            0,
            2.9309887850103685e-14,
            0,
            0
          ],
          "budgetProduct": 6.865800988151991e-14,
          "complementaritySum": 9.796789773162359e-14
        },
        "budgetScan": [
          {
            "budget": 0,
            "reward": 1003.7443834248617,
            "travel": 0,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.25,
            "reward": 1004.8647029455806,
            "travel": 0.24999999999998823,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9997495312307545,
                0.0002504687692454747
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.5,
            "reward": 1005.9850224662995,
            "travel": 0.5000000000000082,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9994987493759392,
                0.0005012506240607895
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.75,
            "reward": 1007.1053419870183,
            "travel": 0.7499999999999964,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9992476538481523,
                0.0007523461518477152
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1,
            "reward": 1008.2256615077372,
            "travel": 0.9999999999999847,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9989962440585215,
                0.0010037559414784586
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.25,
            "reward": 1009.3459810284561,
            "travel": 1.2500000000000047,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9987445194166998,
                0.0012554805833001714
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.5,
            "reward": 1010.466300549175,
            "travel": 1.499999999999993,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9984924793308605,
                0.0015075206691394737
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.75,
            "reward": 1011.586620069894,
            "travel": 1.7500000000000129,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9982401232076927,
                0.0017598767923073166
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2,
            "reward": 1012.7069395906128,
            "travel": 2.0000000000000013,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9979874504523967,
                0.002012549547603382
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.25,
            "reward": 1013.8272591113316,
            "travel": 2.2499999999999893,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.997734460468679,
                0.002265539531320979
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.5,
            "reward": 1014.9475786320506,
            "travel": 2.5000000000000093,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9974811526587484,
                0.00251884734125164
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.75,
            "reward": 1016.0678981527694,
            "travel": 2.749999999999998,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9972275264233103,
                0.0027724735766897312
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3,
            "reward": 1017.1882176734882,
            "travel": 2.999999999999986,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9969735811615626,
                0.003026418838437373
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.25,
            "reward": 1018.3085371942072,
            "travel": 3.2500000000000058,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9967193162711909,
                0.0032806837288090855
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.5,
            "reward": 1019.428856714926,
            "travel": 3.4999999999999942,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9964647311483635,
                0.0035352688516364574
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.75,
            "reward": 1020.5491762356451,
            "travel": 3.750000000000014,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9962098251877268,
                0.003790174812273148
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4,
            "reward": 1021.6694957563639,
            "travel": 4.000000000000003,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9959545977824006,
                0.004045402217599427
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.25,
            "reward": 1022.7898152770828,
            "travel": 4.24999999999999,
            "eta": 4.481278082875549,
            "gap": 1.1368683772161603e-13,
            "pi": [
              [
                0.9956990483239728,
                0.004300951676027221
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.5,
            "reward": 1023.9101347978018,
            "travel": 4.500000000000011,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9954431762024951,
                0.004556823797504849
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.75,
            "reward": 1025.0304543185205,
            "travel": 4.749999999999999,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9951869808064783,
                0.004813019193521775
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5,
            "reward": 1026.1507738392393,
            "travel": 4.999999999999987,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9949304615228863,
                0.005069538477113673
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.25,
            "reward": 1027.2710933599583,
            "travel": 5.250000000000007,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9946736177371328,
                0.005326382262867232
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.5,
            "reward": 1028.391412880677,
            "travel": 5.499999999999996,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.994416448833075,
                0.005583551166924947
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.75,
            "reward": 1029.511732401396,
            "travel": 5.750000000000015,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9941589541930097,
                0.005841045806990288
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6,
            "reward": 1030.6320519221151,
            "travel": 6.0000000000000036,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9939011331976676,
                0.0060988668023323825
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.25,
            "reward": 1031.7523714428337,
            "travel": 6.249999999999992,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9936429852262088,
                0.006357014773791203
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.5,
            "reward": 1032.872690963553,
            "travel": 6.5000000000000115,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9933845096562176,
                0.006615490343782457
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.75,
            "reward": 1033.9930104842717,
            "travel": 6.75,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9931257058636975,
                0.006874294136302492
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7,
            "reward": 1035.1133300049905,
            "travel": 6.9999999999999885,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9928665732230665,
                0.007133426776933509
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.25,
            "reward": 1036.2336495257096,
            "travel": 7.250000000000008,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9926071111071515,
                0.007392888892848507
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.5,
            "reward": 1037.3539690464283,
            "travel": 7.4999999999999964,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9923473188871837,
                0.007652681112816247
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.75,
            "reward": 1038.4742885671471,
            "travel": 7.749999999999985,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9920871959327935,
                0.007912804067206524
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8,
            "reward": 1039.5946080878662,
            "travel": 8.000000000000005,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9918267416120048,
                0.008173258387995168
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.25,
            "reward": 1040.714927608585,
            "travel": 8.249999999999993,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9915659552912309,
                0.008434044708769062
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.5,
            "reward": 1041.835247129304,
            "travel": 8.500000000000012,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9913048363352684,
                0.008695163664731519
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.75,
            "reward": 1042.9555666500228,
            "travel": 8.750000000000002,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9910433841072929,
                0.008956615892707161
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9,
            "reward": 1044.0758861707416,
            "travel": 8.99999999999999,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9907815979688527,
                0.009218402031147337
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.25,
            "reward": 1045.1962056914606,
            "travel": 9.250000000000009,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9905194772798648,
                0.00948052272013522
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.5,
            "reward": 1046.3165252121794,
            "travel": 9.499999999999998,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.990257021398609,
                0.009742978601390924
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.75,
            "reward": 1047.4368447328982,
            "travel": 9.749999999999986,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.989994229681723,
                0.010005770318276931
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10,
            "reward": 1048.5571642536172,
            "travel": 10.000000000000005,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9897311014841967,
                0.010268898515803265
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.25,
            "reward": 1049.677483774336,
            "travel": 10.249999999999995,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9894676361593674,
                0.010532363840632657
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.5,
            "reward": 1050.797803295055,
            "travel": 10.500000000000014,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9892038330589139,
                0.010796166941086077
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.75,
            "reward": 1051.9181228157738,
            "travel": 10.750000000000002,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9889396915328522,
                0.011060308467147785
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11,
            "reward": 1053.0384423364926,
            "travel": 10.999999999999991,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.988675210929529,
                0.011324789070470914
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.25,
            "reward": 1054.1587618572116,
            "travel": 11.25000000000001,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9884103905956173,
                0.01158960940438271
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.5,
            "reward": 1055.2790813779304,
            "travel": 11.499999999999998,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9881452298761102,
                0.011854770123889828
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.75,
            "reward": 1056.3994008986492,
            "travel": 11.749999999999988,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.987879728114316,
                0.01212027188568392
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12,
            "reward": 1057.5197204193682,
            "travel": 12.000000000000007,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9876138846518531,
                0.01238611534814697
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.25,
            "reward": 1058.640039940087,
            "travel": 12.249999999999995,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9873476988286434,
                0.012652301171356612
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.5,
            "reward": 1059.760359460806,
            "travel": 12.500000000000014,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9870811699829082,
                0.012918830017091864
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.75,
            "reward": 1060.880678981525,
            "travel": 12.750000000000004,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9868142974511617,
                0.013185702548838307
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13,
            "reward": 1062.0009985022436,
            "travel": 12.999999999999991,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9865470805682062,
                0.013452919431793848
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.25,
            "reward": 1063.121318022963,
            "travel": 13.25000000000001,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9862795186671258,
                0.013720481332874136
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.5,
            "reward": 1064.2416375436817,
            "travel": 13.5,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.986011611079282,
                0.013988388920718018
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.75,
            "reward": 1065.3619570644005,
            "travel": 13.749999999999988,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9857433571343067,
                0.014256642865693305
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14,
            "reward": 1066.4822765851195,
            "travel": 14.000000000000007,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9854747561600977,
                0.014525243839902257
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.25,
            "reward": 1067.6025961058383,
            "travel": 14.249999999999996,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9852058074828128,
                0.014794192517187109
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.5,
            "reward": 1068.722915626557,
            "travel": 14.499999999999984,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9849365104268641,
                0.015063489573135896
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.75,
            "reward": 1069.8432351472761,
            "travel": 14.750000000000004,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.984666864314912,
                0.015333135685088012
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15,
            "reward": 1070.963554667995,
            "travel": 14.999999999999993,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9843968684678602,
                0.015603131532139792
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.25,
            "reward": 1072.083874188714,
            "travel": 15.250000000000012,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9841265222048495,
                0.015873477795150446
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.5,
            "reward": 1073.2041937094327,
            "travel": 15.5,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9838558248432525,
                0.016144175156747508
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.75,
            "reward": 1074.3245132301515,
            "travel": 15.74999999999999,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9835847756986672,
                0.016415224301332822
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16,
            "reward": 1075.4448327508705,
            "travel": 16.00000000000001,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9833133740849118,
                0.016686625915088217
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.25,
            "reward": 1076.5651522715893,
            "travel": 16.249999999999996,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9830416193140188,
                0.016958380685981173
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.5,
            "reward": 1077.6854717923081,
            "travel": 16.499999999999986,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9827695106962291,
                0.017230489303770868
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.75,
            "reward": 1078.8057913130272,
            "travel": 16.750000000000007,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9824970475399861,
                0.01750295246001388
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17,
            "reward": 1079.926110833746,
            "travel": 16.999999999999993,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.98222422915193,
                0.017775770848069965
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.25,
            "reward": 1081.046430354465,
            "travel": 17.250000000000014,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9819510548368918,
                0.01804894516310818
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.5,
            "reward": 1082.1667498751838,
            "travel": 17.500000000000004,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9816775238978875,
                0.018322476102112493
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.75,
            "reward": 1083.2870693959026,
            "travel": 17.74999999999999,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.981403635636112,
                0.018596364363887962
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18,
            "reward": 1084.4073889166216,
            "travel": 18.00000000000001,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9811293893509334,
                0.0188706106490666
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.25,
            "reward": 1085.5277084373404,
            "travel": 18.25,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9808547843398868,
                0.01914521566011321
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.5,
            "reward": 1086.6480279580592,
            "travel": 18.499999999999986,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9805798198986684,
                0.019420180101331622
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.75,
            "reward": 1087.7683474787782,
            "travel": 18.750000000000007,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.9803044953211294,
                0.019695504678870598
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19,
            "reward": 1088.8886669994972,
            "travel": 18.999999999999996,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9800288098992702,
                0.019971190100729765
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.25,
            "reward": 1090.0089865202162,
            "travel": 19.250000000000014,
            "eta": 4.481278082875549,
            "gap": -2.2737367544323206e-13,
            "pi": [
              [
                0.9797527629232341,
                0.02024723707676594
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.5,
            "reward": 1091.1293060409348,
            "travel": 19.500000000000004,
            "eta": 4.481278082875549,
            "gap": 2.2737367544323206e-13,
            "pi": [
              [
                0.979476353681301,
                0.020523646318698942
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.75,
            "reward": 1092.2496255616538,
            "travel": 19.749999999999993,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9791995814598821,
                0.020800418540117944
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 20,
            "reward": 1093.3699450823729,
            "travel": 20.00000000000001,
            "eta": 4.481278082875549,
            "gap": 0,
            "pi": [
              [
                0.9789224455435125,
                0.02107755445648752
              ],
              [
                1,
                0
              ]
            ]
          }
        ],
        "scope": "已知两状态模型的完整算术演示；VI、PI与LP独立构造。占用量未归一化，总质量1/(1−γ)。可行性比较容差显式保存，非向外舍入认证；迭代次数不是一般复杂度定理。"
      }
    },
    {
      "key": "tie",
      "data": {
        "version": 179,
        "parameters": {
          "gamma": 0.625,
          "steps": 30,
          "camp": 0,
          "mine": 0,
          "piCamp": 1,
          "piMine": 0,
          "muCamp": 0.5,
          "budget": 1
        },
        "mu": [
          0.5,
          0.5
        ],
        "constraints": [
          {
            "state": 0,
            "action": 0,
            "A": [
              0.375,
              0
            ],
            "r": 1,
            "travel": 0
          },
          {
            "state": 0,
            "action": 1,
            "A": [
              1,
              -0.625
            ],
            "r": -2,
            "travel": 1
          },
          {
            "state": 1,
            "action": 0,
            "A": [
              -0.25,
              0.625
            ],
            "r": 4,
            "travel": 0
          },
          {
            "state": 1,
            "action": 1,
            "A": [
              -0.625,
              1
            ],
            "r": 2,
            "travel": 0
          }
        ],
        "vi": {
          "rows": [
            {
              "k": 0,
              "value": [
                0,
                0
              ],
              "q": [
                [
                  1,
                  -2
                ],
                [
                  4,
                  2
                ]
              ],
              "tv": [
                1,
                4
              ],
              "residual": 4,
              "residualBound": 10.666666666666666
            },
            {
              "k": 1,
              "value": [
                1,
                4
              ],
              "q": [
                [
                  1.625,
                  0.5
                ],
                [
                  5.75,
                  2.625
                ]
              ],
              "tv": [
                1.625,
                5.75
              ],
              "residual": 1.75,
              "residualBound": 4.666666666666667
            },
            {
              "k": 2,
              "value": [
                1.625,
                5.75
              ],
              "q": [
                [
                  2.015625,
                  1.59375
                ],
                [
                  6.5625,
                  3.015625
                ]
              ],
              "tv": [
                2.015625,
                6.5625
              ],
              "residual": 0.8125,
              "residualBound": 2.1666666666666665
            },
            {
              "k": 3,
              "value": [
                2.015625,
                6.5625
              ],
              "q": [
                [
                  2.259765625,
                  2.1015625
                ],
                [
                  6.96484375,
                  3.259765625
                ]
              ],
              "tv": [
                2.259765625,
                6.96484375
              ],
              "residual": 0.40234375,
              "residualBound": 1.0729166666666667
            },
            {
              "k": 4,
              "value": [
                2.259765625,
                6.96484375
              ],
              "q": [
                [
                  2.412353515625,
                  2.35302734375
                ],
                [
                  7.1767578125,
                  3.412353515625
                ]
              ],
              "tv": [
                2.412353515625,
                7.1767578125
              ],
              "residual": 0.2119140625,
              "residualBound": 0.5651041666666666
            },
            {
              "k": 5,
              "value": [
                2.412353515625,
                7.1767578125
              ],
              "q": [
                [
                  2.507720947265625,
                  2.4854736328125
                ],
                [
                  7.29437255859375,
                  3.507720947265625
                ]
              ],
              "tv": [
                2.507720947265625,
                7.29437255859375
              ],
              "residual": 0.11761474609375,
              "residualBound": 0.3136393229166667
            },
            {
              "k": 6,
              "value": [
                2.507720947265625,
                7.29437255859375
              ],
              "q": [
                [
                  2.5673255920410156,
                  2.5589828491210938
                ],
                [
                  7.3623199462890625,
                  3.5673255920410156
                ]
              ],
              "tv": [
                2.5673255920410156,
                7.3623199462890625
              ],
              "residual": 0.0679473876953125,
              "residualBound": 0.18119303385416666
            },
            {
              "k": 7,
              "value": [
                2.5673255920410156,
                7.3623199462890625
              ],
              "q": [
                [
                  2.6045784950256348,
                  2.601449966430664
                ],
                [
                  7.402701377868652,
                  3.6045784950256348
                ]
              ],
              "tv": [
                2.6045784950256348,
                7.402701377868652
              ],
              "residual": 0.040381431579589844,
              "residualBound": 0.10768381754557292
            },
            {
              "k": 8,
              "value": [
                2.6045784950256348,
                7.402701377868652
              ],
              "q": [
                [
                  2.6278615593910217,
                  2.6266883611679077
                ],
                [
                  7.427157640457153,
                  3.6278615593910217
                ]
              ],
              "tv": [
                2.6278615593910217,
                7.427157640457153
              ],
              "residual": 0.024456262588500977,
              "residualBound": 0.06521670023600261
            },
            {
              "k": 9,
              "value": [
                2.6278615593910217,
                7.427157640457153
              ],
              "q": [
                [
                  2.6424134746193886,
                  2.641973525285721
                ],
                [
                  7.442149505019188,
                  3.6424134746193886
                ]
              ],
              "tv": [
                2.6424134746193886,
                7.442149505019188
              ],
              "residual": 0.014991864562034607,
              "residualBound": 0.03997830549875895
            },
            {
              "k": 10,
              "value": [
                2.6424134746193886,
                7.442149505019188
              ],
              "q": [
                [
                  2.651508421637118,
                  2.6513434406369925
                ],
                [
                  7.451409433037043,
                  3.651508421637118
                ]
              ],
              "tv": [
                2.651508421637118,
                7.451409433037043
              ],
              "residual": 0.00925992801785469,
              "residualBound": 0.024693141380945843
            },
            {
              "k": 11,
              "value": [
                2.651508421637118,
                7.451409433037043
              ],
              "q": [
                [
                  2.6571927635231987,
                  2.6571308956481516
                ],
                [
                  7.4571556427981704,
                  3.6571927635231987
                ]
              ],
              "tv": [
                2.6571927635231987,
                7.4571556427981704
              ],
              "residual": 0.0057462097611278296,
              "residualBound": 0.015323226029674212
            },
            {
              "k": 12,
              "value": [
                2.6571927635231987,
                7.4571556427981704
              ],
              "q": [
                [
                  2.660745477201999,
                  2.6607222767488565
                ],
                [
                  7.460731556930114,
                  3.660745477201999
                ]
              ],
              "tv": [
                2.660745477201999,
                7.460731556930114
              ],
              "residual": 0.0035759141319431365,
              "residualBound": 0.00953577101851503
            },
            {
              "k": 13,
              "value": [
                2.660745477201999,
                7.460731556930114
              ],
              "q": [
                [
                  2.6629659232512495,
                  2.662957223081321
                ],
                [
                  7.462960703149292,
                  3.6629659232512495
                ]
              ],
              "tv": [
                2.6629659232512495,
                7.462960703149292
              ],
              "residual": 0.0022291462191788014,
              "residualBound": 0.005944389917810137
            },
            {
              "k": 14,
              "value": [
                2.6629659232512495,
                7.462960703149292
              ],
              "q": [
                [
                  2.664353702032031,
                  2.6643504394683077
                ],
                [
                  7.464351744493797,
                  3.664353702032031
                ]
              ],
              "tv": [
                2.664353702032031,
                7.464351744493797
              ],
              "residual": 0.0013910413445046288,
              "residualBound": 0.0037094435853456766
            },
            {
              "k": 15,
              "value": [
                2.664353702032031,
                7.464351744493797
              ],
              "q": [
                [
                  2.6652210637700193,
                  2.665219840308623
                ],
                [
                  7.465220329693182,
                  3.6652210637700193
                ]
              ],
              "tv": [
                2.6652210637700193,
                7.465220329693182
              ],
              "residual": 0.0008685851993845972,
              "residualBound": 0.0023162271983589258
            },
            {
              "k": 16,
              "value": [
                2.6652210637700193,
                7.465220329693182
              ],
              "q": [
                [
                  2.665763164856262,
                  2.6657627060582385
                ],
                [
                  7.465762889577448,
                  3.665763164856262
                ]
              ],
              "tv": [
                2.665763164856262,
                7.465762889577448
              ],
              "residual": 0.0005425598842663248,
              "residualBound": 0.001446826358043533
            },
            {
              "k": 17,
              "value": [
                2.665763164856262,
                7.465762889577448
              ],
              "q": [
                [
                  2.666101978035164,
                  2.666101805985905
                ],
                [
                  7.466101874805609,
                  3.666101978035164
                ]
              ],
              "tv": [
                2.666101978035164,
                7.466101874805609
              ],
              "residual": 0.00033898522816144805,
              "residualBound": 0.0009039606084305282
            },
            {
              "k": 18,
              "value": [
                2.666101978035164,
                7.466101874805609
              ],
              "q": [
                [
                  2.6663137362719773,
                  2.666313671753506
                ],
                [
                  7.466313697560894,
                  3.6663137362719773
                ]
              ],
              "tv": [
                2.6663137362719773,
                7.466313697560894
              ],
              "residual": 0.00021182275528452976,
              "residualBound": 0.0005648606807587461
            },
            {
              "k": 19,
              "value": [
                2.6663137362719773,
                7.466313697560894
              ],
              "q": [
                [
                  2.666446085169986,
                  2.6664460609755585
                ],
                [
                  7.46644607065333,
                  3.666446085169986
                ]
              ],
              "tv": [
                2.666446085169986,
                7.46644607065333
              ],
              "residual": 0.0001323730924358557,
              "residualBound": 0.0003529949131622819
            },
            {
              "k": 20,
              "value": [
                2.666446085169986,
                7.46644607065333
              ],
              "q": [
                [
                  2.666528803231241,
                  2.6665287941583316
                ],
                [
                  7.466528797787495,
                  3.666528803231241
                ]
              ],
              "tv": [
                2.666528803231241,
                7.466528797787495
              ],
              "residual": 0.00008272713416523914,
              "residualBound": 0.00022060569110730435
            },
            {
              "k": 21,
              "value": [
                2.666528803231241,
                7.466528797787495
              ],
              "q": [
                [
                  2.6665805020195257,
                  2.6665804986171846
                ],
                [
                  7.466580499978121,
                  3.6665805020195257
                ]
              ],
              "tv": [
                2.6665805020195257,
                7.466580499978121
              ],
              "residual": 0.00005170219062566872,
              "residualBound": 0.00013787250833511658
            },
            {
              "k": 22,
              "value": [
                2.6665805020195257,
                7.466580499978121
              ],
              "q": [
                [
                  2.6666128137622036,
                  2.666612812486325
                ],
                [
                  7.466612812996677,
                  3.6666128137622036
                ]
              ],
              "tv": [
                2.6666128137622036,
                7.466612812996677
              ],
              "residual": 0.00003231301855599611,
              "residualBound": 0.00008616804948265629
            },
            {
              "k": 23,
              "value": [
                2.6666128137622036,
                7.466612812996677
              ],
              "q": [
                [
                  2.6666330086013774,
                  2.666633008122923
                ],
                [
                  7.466633008314304,
                  3.6666330086013774
                ]
              ],
              "tv": [
                2.6666330086013774,
                7.466633008314304
              ],
              "residual": 0.000020195317627091924,
              "residualBound": 0.000053854180338911796
            },
            {
              "k": 24,
              "value": [
                2.6666330086013774,
                7.466633008314304
              ],
              "q": [
                [
                  2.6666456303758608,
                  2.66664563019644
                ],
                [
                  7.466645630268208,
                  3.6666456303758608
                ]
              ],
              "tv": [
                2.6666456303758608,
                7.466645630268208
              ],
              "residual": 0.000012621953904279337,
              "residualBound": 0.0000336585437447449
            },
            {
              "k": 25,
              "value": [
                2.6666456303758608,
                7.466645630268208
              ],
              "q": [
                [
                  2.666653518984913,
                  2.66665351891763
                ],
                [
                  7.466653518944543,
                  3.666653518984913
                ]
              ],
              "tv": [
                2.666653518984913,
                7.466653518944543
              ],
              "residual": 0.000007888676335277012,
              "residualBound": 0.000021036470227405363
            },
            {
              "k": 26,
              "value": [
                2.666653518984913,
                7.466653518944543
              ],
              "q": [
                [
                  2.6666584493655705,
                  2.666658449340339
                ],
                [
                  7.466658449350432,
                  3.6666584493655705
                ]
              ],
              "tv": [
                2.6666584493655705,
                7.466658449350432
              ],
              "residual": 0.000004930405888892153,
              "residualBound": 0.000013147749037045742
            },
            {
              "k": 27,
              "value": [
                2.6666584493655705,
                7.466658449350432
              ],
              "q": [
                [
                  2.6666615308534816,
                  2.66666153084402
                ],
                [
                  7.466661530847805,
                  3.6666615308534816
                ]
              ],
              "tv": [
                2.6666615308534816,
                7.466661530847805
              ],
              "residual": 0.0000030814973728254813,
              "residualBound": 0.000008217326327534616
            },
            {
              "k": 28,
              "value": [
                2.6666615308534816,
                7.466661530847805
              ],
              "q": [
                [
                  2.666663456783426,
                  2.6666634567798777
                ],
                [
                  7.466663456781298,
                  3.666663456783426
                ]
              ],
              "tv": [
                2.666663456783426,
                7.466663456781298
              ],
              "residual": 0.000001925933492685772,
              "residualBound": 0.000005135822647162058
            },
            {
              "k": 29,
              "value": [
                2.666663456783426,
                7.466663456781298
              ],
              "q": [
                [
                  2.666664660489641,
                  2.666664660488311
                ],
                [
                  7.466664660488844,
                  3.666664660489641
                ]
              ],
              "tv": [
                2.666664660489641,
                7.466664660488844
              ],
              "residual": 0.0000012037075460824553,
              "residualBound": 0.0000032098867895532144
            },
            {
              "k": 30,
              "value": [
                2.666664660489641,
                7.466664660488844
              ],
              "q": [
                [
                  2.666665412806026,
                  2.6666654128055276
                ],
                [
                  7.466665412805726,
                  3.666665412806026
                ]
              ],
              "tv": [
                2.666665412806026,
                7.466665412805726
              ],
              "residual": 7.523168825684934e-7,
              "residualBound": 0.0000020061783535159825
            }
          ],
          "finalValue": [
            2.666664660489641,
            7.466664660488844
          ]
        },
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.375,
                  0
                ],
                [
                  -0.25,
                  0.625
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.234375,
              "value": [
                2.6666666666666665,
                7.466666666666667
              ]
            },
            "value": [
              2.6666666666666665,
              7.466666666666667
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "system": {
              "matrix": [
                [
                  0.375,
                  0
                ],
                [
                  -0.625,
                  1
                ]
              ],
              "right": [
                1,
                2
              ],
              "det": 0.375,
              "value": [
                2.6666666666666665,
                3.6666666666666665
              ]
            },
            "value": [
              2.6666666666666665,
              3.6666666666666665
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.625
                ],
                [
                  -0.25,
                  0.625
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.46875,
              "value": [
                2.6666666666666665,
                7.466666666666667
              ]
            },
            "value": [
              2.6666666666666665,
              7.466666666666667
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.625
                ],
                [
                  -0.625,
                  1
                ]
              ],
              "right": [
                -2,
                2
              ],
              "det": 0.609375,
              "value": [
                -1.2307692307692308,
                1.2307692307692308
              ]
            },
            "value": [
              -1.2307692307692308,
              1.2307692307692308
            ]
          }
        ],
        "pi": {
          "rows": [
            {
              "k": 0,
              "policy": [
                1,
                0
              ],
              "P": [
                [
                  0,
                  1
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                -2,
                4
              ],
              "system": {
                "matrix": [
                  [
                    1,
                    -0.625
                  ],
                  [
                    -0.25,
                    0.625
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.46875,
                "value": [
                  2.6666666666666665,
                  7.466666666666667
                ]
              },
              "value": [
                2.6666666666666665,
                7.466666666666667
              ],
              "q": [
                [
                  2.6666666666666665,
                  2.666666666666667
                ],
                [
                  7.466666666666667,
                  3.6666666666666665
                ]
              ],
              "tolerance": 1.0610771520684163e-13,
              "improved": [
                1,
                0
              ],
              "advantage": [
                0,
                0
              ],
              "stable": true
            }
          ],
          "finalPolicy": [
            1,
            0
          ],
          "finalValue": [
            2.6666666666666665,
            7.466666666666667
          ]
        },
        "lp": {
          "vertices": [
            {
              "i": 0,
              "j": 1,
              "system": {
                "matrix": [
                  [
                    0.375,
                    0
                  ],
                  [
                    1,
                    -0.625
                  ]
                ],
                "right": [
                  1,
                  -2
                ],
                "det": -0.234375,
                "value": [
                  2.6666666666666665,
                  7.466666666666667
                ]
              },
              "value": [
                2.6666666666666665,
                7.466666666666667
              ],
              "slacks": [
                0,
                -4.440892098500626e-16,
                0,
                3.8000000000000007
              ],
              "tolerance": 7.466666666666667e-9,
              "feasible": true,
              "objective": 5.066666666666666
            },
            {
              "i": 0,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    0.375,
                    0
                  ],
                  [
                    -0.25,
                    0.625
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.234375,
                "value": [
                  2.6666666666666665,
                  7.466666666666667
                ]
              },
              "value": [
                2.6666666666666665,
                7.466666666666667
              ],
              "slacks": [
                0,
                -4.440892098500626e-16,
                0,
                3.8000000000000007
              ],
              "tolerance": 7.466666666666667e-9,
              "feasible": true,
              "objective": 5.066666666666666
            },
            {
              "i": 0,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    0.375,
                    0
                  ],
                  [
                    -0.625,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.375,
                "value": [
                  2.6666666666666665,
                  3.6666666666666665
                ]
              },
              "value": [
                2.6666666666666665,
                3.6666666666666665
              ],
              "slacks": [
                0,
                2.375,
                -2.375,
                0
              ],
              "tolerance": 3.666666666666667e-9,
              "feasible": false,
              "objective": 3.1666666666666665
            },
            {
              "i": 1,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.625
                  ],
                  [
                    -0.25,
                    0.625
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.46875,
                "value": [
                  2.6666666666666665,
                  7.466666666666667
                ]
              },
              "value": [
                2.6666666666666665,
                7.466666666666667
              ],
              "slacks": [
                0,
                -4.440892098500626e-16,
                0,
                3.8000000000000007
              ],
              "tolerance": 7.466666666666667e-9,
              "feasible": true,
              "objective": 5.066666666666666
            },
            {
              "i": 1,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.625
                  ],
                  [
                    -0.625,
                    1
                  ]
                ],
                "right": [
                  -2,
                  2
                ],
                "det": 0.609375,
                "value": [
                  -1.2307692307692308,
                  1.2307692307692308
                ]
              },
              "value": [
                -1.2307692307692308,
                1.2307692307692308
              ],
              "slacks": [
                -1.4615384615384617,
                0,
                -2.923076923076923,
                0
              ],
              "tolerance": 1.230769230769231e-9,
              "feasible": false,
              "objective": 0
            },
            {
              "i": 2,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    -0.25,
                    0.625
                  ],
                  [
                    -0.625,
                    1
                  ]
                ],
                "right": [
                  4,
                  2
                ],
                "det": 0.140625,
                "value": [
                  19.555555555555557,
                  14.222222222222221
                ]
              },
              "value": [
                19.555555555555557,
                14.222222222222221
              ],
              "slacks": [
                6.333333333333334,
                12.666666666666668,
                0,
                -1.7763568394002505e-15
              ],
              "tolerance": 1.955555555555556e-8,
              "feasible": true,
              "objective": 16.88888888888889
            }
          ],
          "best": {
            "i": 0,
            "j": 1,
            "system": {
              "matrix": [
                [
                  0.375,
                  0
                ],
                [
                  1,
                  -0.625
                ]
              ],
              "right": [
                1,
                -2
              ],
              "det": -0.234375,
              "value": [
                2.6666666666666665,
                7.466666666666667
              ]
            },
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "slacks": [
              0,
              -4.440892098500626e-16,
              0,
              3.8000000000000007
            ],
            "tolerance": 7.466666666666667e-9,
            "feasible": true,
            "objective": 5.066666666666666
          },
          "dual": {
            "policy": [
              0,
              0
            ],
            "system": {
              "matrix": [
                [
                  0.375,
                  -0.25
                ],
                [
                  0,
                  0.625
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.234375,
              "value": [
                1.8666666666666667,
                0.8
              ]
            },
            "z": [
              1.8666666666666667,
              0.8
            ],
            "x": [
              [
                1.8666666666666667,
                0
              ],
              [
                0.8,
                0
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 2.666666666666667,
            "reward": 5.066666666666666,
            "travel": 0,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "weightedValue": 5.066666666666666
          },
          "gap": 0,
          "complementarity": [
            0,
            0,
            0,
            0
          ],
          "complementaritySum": 0
        },
        "occupancies": [
          {
            "policy": [
              0,
              0
            ],
            "system": {
              "matrix": [
                [
                  0.375,
                  -0.25
                ],
                [
                  0,
                  0.625
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.234375,
              "value": [
                1.8666666666666667,
                0.8
              ]
            },
            "z": [
              1.8666666666666667,
              0.8
            ],
            "x": [
              [
                1.8666666666666667,
                0
              ],
              [
                0.8,
                0
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 2.666666666666667,
            "reward": 5.066666666666666,
            "travel": 0,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "weightedValue": 5.066666666666666
          },
          {
            "policy": [
              0,
              1
            ],
            "system": {
              "matrix": [
                [
                  0.375,
                  -0.625
                ],
                [
                  0,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.375,
              "value": [
                2.1666666666666665,
                0.5
              ]
            },
            "z": [
              2.1666666666666665,
              0.5
            ],
            "x": [
              [
                2.1666666666666665,
                0
              ],
              [
                0,
                0.5
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 2.6666666666666665,
            "reward": 3.1666666666666665,
            "travel": 0,
            "value": [
              2.6666666666666665,
              3.6666666666666665
            ],
            "weightedValue": 3.1666666666666665
          },
          {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.25
                ],
                [
                  -0.625,
                  0.625
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.46875,
              "value": [
                0.9333333333333333,
                1.7333333333333334
              ]
            },
            "z": [
              0.9333333333333333,
              1.7333333333333334
            ],
            "x": [
              [
                0,
                0.9333333333333333
              ],
              [
                1.7333333333333334,
                0
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 2.666666666666667,
            "reward": 5.066666666666666,
            "travel": 0.9333333333333333,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "weightedValue": 5.066666666666666
          },
          {
            "policy": [
              1,
              1
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.625
                ],
                [
                  -0.625,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.609375,
              "value": [
                1.3333333333333333,
                1.3333333333333333
              ]
            },
            "z": [
              1.3333333333333333,
              1.3333333333333333
            ],
            "x": [
              [
                0,
                1.3333333333333333
              ],
              [
                0,
                1.3333333333333333
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 2.6666666666666665,
            "reward": 0,
            "travel": 1.3333333333333333,
            "value": [
              -1.2307692307692308,
              1.2307692307692308
            ],
            "weightedValue": 0
          }
        ],
        "constrained": {
          "budget": 1,
          "candidates": [
            {
              "i": 0,
              "j": 0,
              "lambda": 1,
              "x": [
                [
                  1.8666666666666667,
                  0
                ],
                [
                  0.8,
                  0
                ]
              ],
              "travel": 0,
              "reward": 5.066666666666666,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 1,
              "j": 1,
              "lambda": 1,
              "x": [
                [
                  2.1666666666666665,
                  0
                ],
                [
                  0,
                  0.5
                ]
              ],
              "travel": 0,
              "reward": 3.1666666666666665,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 2,
              "j": 2,
              "lambda": 1,
              "x": [
                [
                  0,
                  0.9333333333333333
                ],
                [
                  1.7333333333333334,
                  0
                ]
              ],
              "travel": 0.9333333333333333,
              "reward": 5.066666666666666,
              "budgetSlack": 0.06666666666666665,
              "feasible": true
            },
            {
              "i": 3,
              "j": 3,
              "lambda": 1,
              "x": [
                [
                  0,
                  1.3333333333333333
                ],
                [
                  0,
                  1.3333333333333333
                ]
              ],
              "travel": 1.3333333333333333,
              "reward": 0,
              "budgetSlack": -0.33333333333333326,
              "feasible": false
            },
            {
              "i": 0,
              "j": 3,
              "lambda": 0.24999999999999994,
              "x": [
                [
                  0.46666666666666656,
                  1
                ],
                [
                  0.19999999999999996,
                  1
                ]
              ],
              "travel": 1,
              "reward": 1.2666666666666664,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 1,
              "j": 3,
              "lambda": 0.24999999999999994,
              "x": [
                [
                  0.5416666666666665,
                  1
                ],
                [
                  0,
                  1.125
                ]
              ],
              "travel": 1,
              "reward": 0.7916666666666665,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 2,
              "j": 3,
              "lambda": 0.8333333333333334,
              "x": [
                [
                  0,
                  1
                ],
                [
                  1.4444444444444446,
                  0.22222222222222215
                ]
              ],
              "travel": 1,
              "reward": 4.222222222222223,
              "budgetSlack": 0,
              "feasible": true
            }
          ],
          "best": {
            "i": 0,
            "j": 0,
            "lambda": 1,
            "x": [
              [
                1.8666666666666667,
                0
              ],
              [
                0.8,
                0
              ]
            ],
            "travel": 0,
            "reward": 5.066666666666666,
            "budgetSlack": 1,
            "feasible": true
          },
          "recovery": {
            "z": [
              1.8666666666666667,
              0.8
            ],
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.375,
                  0
                ],
                [
                  -0.25,
                  0.625
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.234375,
              "value": [
                2.6666666666666665,
                7.466666666666667
              ]
            },
            "weightedValue": 5.066666666666666,
            "flow": [
              0,
              0
            ]
          },
          "shadow": [
            {
              "eta": 0,
              "value": [
                2.6666666666666665,
                7.466666666666667
              ],
              "slacks": [
                0,
                -4.440892098500626e-16,
                0,
                3.8000000000000007
              ],
              "objective": 5.066666666666666
            },
            {
              "eta": 2.0357142857142856,
              "value": [
                2.6666666666666665,
                7.466666666666667
              ],
              "slacks": [
                0,
                2.035714285714285,
                0,
                3.8000000000000007
              ],
              "objective": 7.102380952380952
            }
          ],
          "dual": {
            "eta": 0,
            "value": [
              2.6666666666666665,
              7.466666666666667
            ],
            "slacks": [
              0,
              -4.440892098500626e-16,
              0,
              3.8000000000000007
            ],
            "objective": 5.066666666666666
          },
          "gap": 0,
          "complementarity": [
            0,
            0,
            0,
            0
          ],
          "budgetProduct": 0,
          "complementaritySum": 0
        },
        "budgetScan": [
          {
            "budget": 0,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.75,
            "reward": 5.066666666666668,
            "travel": 0.75,
            "eta": 0,
            "gap": -1.7763568394002505e-15,
            "pi": [
              [
                0.3283582089552239,
                0.6716417910447761
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.9333333333333333,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.3333333333333333,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.25,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.5,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.75,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 20,
            "reward": 5.066666666666666,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          }
        ],
        "scope": "已知两状态模型的完整算术演示；VI、PI与LP独立构造。占用量未归一化，总质量1/(1−γ)。可行性比较容差显式保存，非向外舍入认证；迭代次数不是一般复杂度定理。"
      }
    },
    {
      "key": "camp",
      "data": {
        "version": 179,
        "parameters": {
          "gamma": 0.2,
          "steps": 30,
          "camp": 0,
          "mine": 0,
          "piCamp": 0,
          "piMine": 1,
          "muCamp": 1,
          "budget": 1
        },
        "mu": [
          1,
          0
        ],
        "constraints": [
          {
            "state": 0,
            "action": 0,
            "A": [
              0.8,
              0
            ],
            "r": 1,
            "travel": 0
          },
          {
            "state": 0,
            "action": 1,
            "A": [
              1,
              -0.2
            ],
            "r": -2,
            "travel": 1
          },
          {
            "state": 1,
            "action": 0,
            "A": [
              -0.08000000000000002,
              0.88
            ],
            "r": 4,
            "travel": 0
          },
          {
            "state": 1,
            "action": 1,
            "A": [
              -0.2,
              1
            ],
            "r": 2,
            "travel": 0
          }
        ],
        "vi": {
          "rows": [
            {
              "k": 0,
              "value": [
                0,
                0
              ],
              "q": [
                [
                  1,
                  -2
                ],
                [
                  4,
                  2
                ]
              ],
              "tv": [
                1,
                4
              ],
              "residual": 4,
              "residualBound": 5
            },
            {
              "k": 1,
              "value": [
                1,
                4
              ],
              "q": [
                [
                  1.2,
                  -1.2
                ],
                [
                  4.56,
                  2.2
                ]
              ],
              "tv": [
                1.2,
                4.56
              ],
              "residual": 0.5599999999999996,
              "residualBound": 0.6999999999999995
            },
            {
              "k": 2,
              "value": [
                1.2,
                4.56
              ],
              "q": [
                [
                  1.24,
                  -1.088
                ],
                [
                  4.6432,
                  2.24
                ]
              ],
              "tv": [
                1.24,
                4.6432
              ],
              "residual": 0.0832000000000006,
              "residualBound": 0.10400000000000076
            },
            {
              "k": 3,
              "value": [
                1.24,
                4.6432
              ],
              "q": [
                [
                  1.248,
                  -1.0713599999999999
                ],
                [
                  4.656384,
                  2.248
                ]
              ],
              "tv": [
                1.248,
                4.656384
              ],
              "residual": 0.013183999999999862,
              "residualBound": 0.016479999999999828
            },
            {
              "k": 4,
              "value": [
                1.248,
                4.656384
              ],
              "q": [
                [
                  1.2496,
                  -1.0687232
                ],
                [
                  4.65860608,
                  2.2496
                ]
              ],
              "tv": [
                1.2496,
                4.65860608
              ],
              "residual": 0.002222080000000126,
              "residualBound": 0.0027776000000001577
            },
            {
              "k": 5,
              "value": [
                1.2496,
                4.65860608
              ],
              "q": [
                [
                  1.24992,
                  -1.0682787839999999
                ],
                [
                  4.6590007296,
                  2.24992
                ]
              ],
              "tv": [
                1.24992,
                4.6590007296
              ],
              "residual": 0.0003946495999995747,
              "residualBound": 0.0004933119999994684
            },
            {
              "k": 6,
              "value": [
                1.24992,
                4.6590007296
              ],
              "q": [
                [
                  1.249984,
                  -1.06819985408
                ],
                [
                  4.6590736875520005,
                  2.249984
                ]
              ],
              "tv": [
                1.249984,
                4.6590736875520005
              ],
              "residual": 0.00007295795200068511,
              "residualBound": 0.00009119744000085639
            },
            {
              "k": 7,
              "value": [
                1.249984,
                4.6590736875520005
              ],
              "q": [
                [
                  1.2499968,
                  -1.0681852624896
                ],
                [
                  4.65908756250624,
                  2.2499968
                ]
              ],
              "tv": [
                1.2499968,
                4.65908756250624
              ],
              "residual": 0.00001387495423976759,
              "residualBound": 0.000017343692799709487
            },
            {
              "k": 8,
              "value": [
                1.2499968,
                4.65908756250624
              ],
              "q": [
                [
                  1.24999936,
                  -1.0681824874987518
                ],
                [
                  4.659090251500749,
                  2.24999936
                ]
              ],
              "tv": [
                1.24999936,
                4.659090251500749
              ],
              "residual": 0.0000026889945088370837,
              "residualBound": 0.0000033612431360463546
            },
            {
              "k": 9,
              "value": [
                1.24999936,
                4.659090251500749
              ],
              "q": [
                [
                  1.249999872,
                  -1.0681819496998501
                ],
                [
                  4.65909077898009,
                  2.249999872
                ]
              ],
              "tv": [
                1.249999872,
                4.65909077898009
              ],
              "residual": 5.274793410947609e-7,
              "residualBound": 6.593491763684511e-7
            },
            {
              "k": 10,
              "value": [
                1.249999872,
                4.65909077898009
              ],
              "q": [
                [
                  1.2499999744,
                  -1.0681818442039819
                ],
                [
                  4.659090883237611,
                  2.2499999744
                ]
              ],
              "tv": [
                1.2499999744,
                4.659090883237611
              ],
              "residual": 1.042575208387575e-7,
              "residualBound": 1.3032190104844688e-7
            },
            {
              "k": 11,
              "value": [
                1.2499999744,
                4.659090883237611
              ],
              "q": [
                [
                  1.24999999488,
                  -1.0681818233524778
                ],
                [
                  4.6590909039405135,
                  2.24999999488
                ]
              ],
              "tv": [
                1.24999999488,
                4.6590909039405135
              ],
              "residual": 2.070290250344442e-8,
              "residualBound": 2.5878628129305525e-8
            },
            {
              "k": 12,
              "value": [
                1.24999999488,
                4.6590909039405135
              ],
              "q": [
                [
                  1.249999998976,
                  -1.0681818192118973
                ],
                [
                  4.659090908063262,
                  2.249999998976
                ]
              ],
              "tv": [
                1.249999998976,
                4.659090908063262
              ],
              "residual": 4.122748364920881e-9,
              "residualBound": 5.153435456151101e-9
            },
            {
              "k": 13,
              "value": [
                1.249999998976,
                4.659090908063262
              ],
              "q": [
                [
                  1.2499999997952,
                  -1.0681818183873477
                ],
                [
                  4.659090908885672,
                  2.2499999997952
                ]
              ],
              "tv": [
                1.2499999997952,
                4.659090908885672
              ],
              "residual": 8.224096958997507e-10,
              "residualBound": 1.0280121198746883e-9
            },
            {
              "k": 14,
              "value": [
                1.2499999997952,
                4.659090908885672
              ],
              "q": [
                [
                  1.24999999995904,
                  -1.0681818182228655
                ],
                [
                  4.659090909049897,
                  2.24999999995904
                ]
              ],
              "tv": [
                1.24999999995904,
                4.659090909049897
              ],
              "residual": 1.6422507798097286e-10,
              "residualBound": 2.0528134747621607e-10
            },
            {
              "k": 15,
              "value": [
                1.24999999995904,
                4.659090909049897
              ],
              "q": [
                [
                  1.249999999991808,
                  -1.0681818181900207
                ],
                [
                  4.65909090908271,
                  2.249999999991808
                ]
              ],
              "tv": [
                1.249999999991808,
                4.65909090908271
              ],
              "residual": 3.2813751715821127e-11,
              "residualBound": 4.101718964477641e-11
            },
            {
              "k": 16,
              "value": [
                1.249999999991808,
                4.65909090908271
              ],
              "q": [
                [
                  1.2499999999983618,
                  -1.068181818183458
                ],
                [
                  4.6590909090892705,
                  2.2499999999983618
                ]
              ],
              "tv": [
                1.2499999999983618,
                4.6590909090892705
              ],
              "residual": 6.560085807905125e-12,
              "residualBound": 8.200107259881406e-12
            },
            {
              "k": 17,
              "value": [
                1.2499999999983618,
                4.6590909090892705
              ],
              "q": [
                [
                  1.2499999999996723,
                  -1.0681818181821459
                ],
                [
                  4.659090909090581,
                  2.2499999999996723
                ]
              ],
              "tv": [
                1.2499999999996723,
                4.659090909090581
              ],
              "residual": 1.3109513474773848e-12,
              "residualBound": 1.638689184346731e-12
            },
            {
              "k": 18,
              "value": [
                1.2499999999996723,
                4.659090909090581
              ],
              "q": [
                [
                  1.2499999999999345,
                  -1.0681818181818836
                ],
                [
                  4.6590909090908434,
                  2.2499999999999343
                ]
              ],
              "tv": [
                1.2499999999999345,
                4.6590909090908434
              ],
              "residual": 2.62234678416462e-13,
              "residualBound": 3.2779334802057747e-13
            },
            {
              "k": 19,
              "value": [
                1.2499999999999345,
                4.6590909090908434
              ],
              "q": [
                [
                  1.249999999999987,
                  -1.0681818181818312
                ],
                [
                  4.659090909090896,
                  2.2499999999999867
                ]
              ],
              "tv": [
                1.249999999999987,
                4.659090909090896
              ],
              "residual": 5.240252676230739e-14,
              "residualBound": 6.550315845288424e-14
            },
            {
              "k": 20,
              "value": [
                1.249999999999987,
                4.659090909090896
              ],
              "q": [
                [
                  1.2499999999999973,
                  -1.0681818181818208
                ],
                [
                  4.6590909090909065,
                  2.2499999999999973
                ]
              ],
              "tv": [
                1.2499999999999973,
                4.6590909090909065
              ],
              "residual": 1.0658141036401503e-14,
              "residualBound": 1.3322676295501878e-14
            },
            {
              "k": 21,
              "value": [
                1.2499999999999973,
                4.6590909090909065
              ],
              "q": [
                [
                  1.2499999999999996,
                  -1.0681818181818188
                ],
                [
                  4.659090909090908,
                  2.2499999999999996
                ]
              ],
              "tv": [
                1.2499999999999996,
                4.659090909090908
              ],
              "residual": 2.220446049250313e-15,
              "residualBound": 2.7755575615628914e-15
            },
            {
              "k": 22,
              "value": [
                1.2499999999999996,
                4.659090909090908
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818183
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 8.881784197001252e-16,
              "residualBound": 1.1102230246251565e-15
            },
            {
              "k": 23,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            },
            {
              "k": 24,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            },
            {
              "k": 25,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            },
            {
              "k": 26,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            },
            {
              "k": 27,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            },
            {
              "k": 28,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            },
            {
              "k": 29,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            },
            {
              "k": 30,
              "value": [
                1.25,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tv": [
                1.25,
                4.659090909090909
              ],
              "residual": 0,
              "residualBound": 0
            }
          ],
          "finalValue": [
            1.25,
            4.659090909090909
          ]
        },
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.8,
                  0
                ],
                [
                  -0.08000000000000002,
                  0.88
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.7040000000000001,
              "value": [
                1.2499999999999998,
                4.659090909090909
              ]
            },
            "value": [
              1.2499999999999998,
              4.659090909090909
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "system": {
              "matrix": [
                [
                  0.8,
                  0
                ],
                [
                  -0.2,
                  1
                ]
              ],
              "right": [
                1,
                2
              ],
              "det": 0.8,
              "value": [
                1.25,
                2.25
              ]
            },
            "value": [
              1.25,
              2.25
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.2
                ],
                [
                  -0.08000000000000002,
                  0.88
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.864,
              "value": [
                -1.1111111111111112,
                4.444444444444445
              ]
            },
            "value": [
              -1.1111111111111112,
              4.444444444444445
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.2
                ],
                [
                  -0.2,
                  1
                ]
              ],
              "right": [
                -2,
                2
              ],
              "det": 0.96,
              "value": [
                -1.6666666666666667,
                1.6666666666666667
              ]
            },
            "value": [
              -1.6666666666666667,
              1.6666666666666667
            ]
          }
        ],
        "pi": {
          "rows": [
            {
              "k": 0,
              "policy": [
                0,
                1
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  1,
                  0
                ]
              ],
              "r": [
                1,
                2
              ],
              "system": {
                "matrix": [
                  [
                    0.8,
                    0
                  ],
                  [
                    -0.2,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.8,
                "value": [
                  1.25,
                  2.25
                ]
              },
              "value": [
                1.25,
                2.25
              ],
              "q": [
                [
                  1.25,
                  -1.55
                ],
                [
                  4.37,
                  2.25
                ]
              ],
              "tolerance": 6.210143510543276e-14,
              "improved": [
                0,
                0
              ],
              "advantage": [
                0,
                2.12
              ],
              "stable": false
            },
            {
              "k": 1,
              "policy": [
                0,
                0
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                1,
                4
              ],
              "system": {
                "matrix": [
                  [
                    0.8,
                    0
                  ],
                  [
                    -0.08000000000000002,
                    0.88
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.7040000000000001,
                "value": [
                  1.2499999999999998,
                  4.659090909090909
                ]
              },
              "value": [
                1.2499999999999998,
                4.659090909090909
              ],
              "q": [
                [
                  1.25,
                  -1.0681818181818181
                ],
                [
                  4.659090909090909,
                  2.25
                ]
              ],
              "tolerance": 6.620966401400934e-14,
              "improved": [
                0,
                0
              ],
              "advantage": [
                0,
                0
              ],
              "stable": true
            }
          ],
          "finalPolicy": [
            0,
            0
          ],
          "finalValue": [
            1.2499999999999998,
            4.659090909090909
          ]
        },
        "lp": {
          "vertices": [
            {
              "i": 0,
              "j": 1,
              "system": {
                "matrix": [
                  [
                    0.8,
                    0
                  ],
                  [
                    1,
                    -0.2
                  ]
                ],
                "right": [
                  1,
                  -2
                ],
                "det": -0.16000000000000003,
                "value": [
                  1.2499999999999998,
                  16.249999999999996
                ]
              },
              "value": [
                1.2499999999999998,
                16.249999999999996
              ],
              "slacks": [
                -1.1102230246251565e-16,
                2.220446049250313e-16,
                10.199999999999998,
                13.999999999999996
              ],
              "tolerance": 1.6249999999999997e-8,
              "feasible": true,
              "objective": 1.2499999999999998
            },
            {
              "i": 0,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    0.8,
                    0
                  ],
                  [
                    -0.08000000000000002,
                    0.88
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.7040000000000001,
                "value": [
                  1.2499999999999998,
                  4.659090909090909
                ]
              },
              "value": [
                1.2499999999999998,
                4.659090909090909
              ],
              "slacks": [
                -1.1102230246251565e-16,
                2.318181818181818,
                8.881784197001252e-16,
                2.409090909090909
              ],
              "tolerance": 4.659090909090909e-9,
              "feasible": true,
              "objective": 1.2499999999999998
            },
            {
              "i": 0,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    0.8,
                    0
                  ],
                  [
                    -0.2,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.8,
                "value": [
                  1.25,
                  2.25
                ]
              },
              "value": [
                1.25,
                2.25
              ],
              "slacks": [
                0,
                2.8,
                -2.12,
                0
              ],
              "tolerance": 2.2500000000000003e-9,
              "feasible": false,
              "objective": 1.25
            },
            {
              "i": 1,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.2
                  ],
                  [
                    -0.08000000000000002,
                    0.88
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.864,
                "value": [
                  -1.1111111111111112,
                  4.444444444444445
                ]
              },
              "value": [
                -1.1111111111111112,
                4.444444444444445
              ],
              "slacks": [
                -1.8888888888888888,
                0,
                0,
                2.666666666666667
              ],
              "tolerance": 4.444444444444445e-9,
              "feasible": false,
              "objective": -1.1111111111111112
            },
            {
              "i": 1,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.2
                  ],
                  [
                    -0.2,
                    1
                  ]
                ],
                "right": [
                  -2,
                  2
                ],
                "det": 0.96,
                "value": [
                  -1.6666666666666667,
                  1.6666666666666667
                ]
              },
              "value": [
                -1.6666666666666667,
                1.6666666666666667
              ],
              "slacks": [
                -2.3333333333333335,
                0,
                -2.4,
                0
              ],
              "tolerance": 1.666666666666667e-9,
              "feasible": false,
              "objective": -1.6666666666666667
            },
            {
              "i": 2,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    -0.08000000000000002,
                    0.88
                  ],
                  [
                    -0.2,
                    1
                  ]
                ],
                "right": [
                  4,
                  2
                ],
                "det": 0.096,
                "value": [
                  23.333333333333336,
                  6.666666666666667
                ]
              },
              "value": [
                23.333333333333336,
                6.666666666666667
              ],
              "slacks": [
                17.666666666666668,
                24.000000000000004,
                0,
                0
              ],
              "tolerance": 2.3333333333333337e-8,
              "feasible": true,
              "objective": 23.333333333333336
            }
          ],
          "best": {
            "i": 0,
            "j": 1,
            "system": {
              "matrix": [
                [
                  0.8,
                  0
                ],
                [
                  1,
                  -0.2
                ]
              ],
              "right": [
                1,
                -2
              ],
              "det": -0.16000000000000003,
              "value": [
                1.2499999999999998,
                16.249999999999996
              ]
            },
            "value": [
              1.2499999999999998,
              16.249999999999996
            ],
            "slacks": [
              -1.1102230246251565e-16,
              2.220446049250313e-16,
              10.199999999999998,
              13.999999999999996
            ],
            "tolerance": 1.6249999999999997e-8,
            "feasible": true,
            "objective": 1.2499999999999998
          },
          "dual": {
            "policy": [
              0,
              1
            ],
            "system": {
              "matrix": [
                [
                  0.8,
                  -0.2
                ],
                [
                  0,
                  1
                ]
              ],
              "right": [
                1,
                0
              ],
              "det": 0.8,
              "value": [
                1.25,
                0
              ]
            },
            "z": [
              1.25,
              0
            ],
            "x": [
              [
                1.25,
                0
              ],
              [
                0,
                0
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 1.25,
            "reward": 1.25,
            "travel": 0,
            "value": [
              1.25,
              2.25
            ],
            "weightedValue": 1.25
          },
          "gap": -2.220446049250313e-16,
          "complementarity": [
            -1.3877787807814457e-16,
            0,
            0,
            0
          ],
          "complementaritySum": -1.3877787807814457e-16
        },
        "occupancies": [
          {
            "policy": [
              0,
              0
            ],
            "system": {
              "matrix": [
                [
                  0.8,
                  -0.08000000000000002
                ],
                [
                  0,
                  0.88
                ]
              ],
              "right": [
                1,
                0
              ],
              "det": 0.7040000000000001,
              "value": [
                1.2499999999999998,
                0
              ]
            },
            "z": [
              1.2499999999999998,
              0
            ],
            "x": [
              [
                1.2499999999999998,
                0
              ],
              [
                0,
                0
              ]
            ],
            "flow": [
              -2.220446049250313e-16,
              0
            ],
            "total": 1.2499999999999998,
            "reward": 1.2499999999999998,
            "travel": 0,
            "value": [
              1.2499999999999998,
              4.659090909090909
            ],
            "weightedValue": 1.2499999999999998
          },
          {
            "policy": [
              0,
              1
            ],
            "system": {
              "matrix": [
                [
                  0.8,
                  -0.2
                ],
                [
                  0,
                  1
                ]
              ],
              "right": [
                1,
                0
              ],
              "det": 0.8,
              "value": [
                1.25,
                0
              ]
            },
            "z": [
              1.25,
              0
            ],
            "x": [
              [
                1.25,
                0
              ],
              [
                0,
                0
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 1.25,
            "reward": 1.25,
            "travel": 0,
            "value": [
              1.25,
              2.25
            ],
            "weightedValue": 1.25
          },
          {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.08000000000000002
                ],
                [
                  -0.2,
                  0.88
                ]
              ],
              "right": [
                1,
                0
              ],
              "det": 0.864,
              "value": [
                1.0185185185185186,
                0.2314814814814815
              ]
            },
            "z": [
              1.0185185185185186,
              0.2314814814814815
            ],
            "x": [
              [
                0,
                1.0185185185185186
              ],
              [
                0.2314814814814815,
                0
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 1.25,
            "reward": -1.1111111111111112,
            "travel": 1.0185185185185186,
            "value": [
              -1.1111111111111112,
              4.444444444444445
            ],
            "weightedValue": -1.1111111111111112
          },
          {
            "policy": [
              1,
              1
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.2
                ],
                [
                  -0.2,
                  1
                ]
              ],
              "right": [
                1,
                0
              ],
              "det": 0.96,
              "value": [
                1.0416666666666667,
                0.20833333333333334
              ]
            },
            "z": [
              1.0416666666666667,
              0.20833333333333334
            ],
            "x": [
              [
                0,
                1.0416666666666667
              ],
              [
                0,
                0.20833333333333334
              ]
            ],
            "flow": [
              0,
              -2.7755575615628914e-17
            ],
            "total": 1.25,
            "reward": -1.6666666666666667,
            "travel": 1.0416666666666667,
            "value": [
              -1.6666666666666667,
              1.6666666666666667
            ],
            "weightedValue": -1.6666666666666667
          }
        ],
        "constrained": {
          "budget": 1,
          "candidates": [
            {
              "i": 0,
              "j": 0,
              "lambda": 1,
              "x": [
                [
                  1.2499999999999998,
                  0
                ],
                [
                  0,
                  0
                ]
              ],
              "travel": 0,
              "reward": 1.2499999999999998,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 1,
              "j": 1,
              "lambda": 1,
              "x": [
                [
                  1.25,
                  0
                ],
                [
                  0,
                  0
                ]
              ],
              "travel": 0,
              "reward": 1.25,
              "budgetSlack": 1,
              "feasible": true
            },
            {
              "i": 2,
              "j": 2,
              "lambda": 1,
              "x": [
                [
                  0,
                  1.0185185185185186
                ],
                [
                  0.2314814814814815,
                  0
                ]
              ],
              "travel": 1.0185185185185186,
              "reward": -1.1111111111111112,
              "budgetSlack": -0.0185185185185186,
              "feasible": false
            },
            {
              "i": 3,
              "j": 3,
              "lambda": 1,
              "x": [
                [
                  0,
                  1.0416666666666667
                ],
                [
                  0,
                  0.20833333333333334
                ]
              ],
              "travel": 1.0416666666666667,
              "reward": -1.6666666666666667,
              "budgetSlack": -0.04166666666666674,
              "feasible": false
            },
            {
              "i": 0,
              "j": 2,
              "lambda": 0.01818181818181826,
              "x": [
                [
                  0.02272727272727282,
                  1
                ],
                [
                  0.22727272727272727,
                  0
                ]
              ],
              "travel": 1,
              "reward": -1.068181818181818,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 0,
              "j": 3,
              "lambda": 0.04000000000000007,
              "x": [
                [
                  0.05000000000000008,
                  1
                ],
                [
                  0,
                  0.2
                ]
              ],
              "travel": 1,
              "reward": -1.5499999999999998,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 1,
              "j": 2,
              "lambda": 0.01818181818181826,
              "x": [
                [
                  0.022727272727272825,
                  1
                ],
                [
                  0.22727272727272727,
                  0
                ]
              ],
              "travel": 1,
              "reward": -1.068181818181818,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 1,
              "j": 3,
              "lambda": 0.04000000000000007,
              "x": [
                [
                  0.050000000000000086,
                  1
                ],
                [
                  0,
                  0.2
                ]
              ],
              "travel": 1,
              "reward": -1.5499999999999998,
              "budgetSlack": 0,
              "feasible": true
            }
          ],
          "best": {
            "i": 1,
            "j": 1,
            "lambda": 1,
            "x": [
              [
                1.25,
                0
              ],
              [
                0,
                0
              ]
            ],
            "travel": 0,
            "reward": 1.25,
            "budgetSlack": 1,
            "feasible": true
          },
          "recovery": {
            "z": [
              1.25,
              0
            ],
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.8,
                  0
                ],
                [
                  -0.08000000000000002,
                  0.88
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.7040000000000001,
              "value": [
                1.2499999999999998,
                4.659090909090909
              ]
            },
            "weightedValue": 1.2499999999999998,
            "flow": [
              0,
              0
            ]
          },
          "shadow": [
            {
              "eta": 0,
              "value": [
                1.25,
                4.659090909090909
              ],
              "slacks": [
                0,
                2.3181818181818183,
                8.881784197001252e-16,
                2.409090909090909
              ],
              "objective": 1.25
            }
          ],
          "dual": {
            "eta": 0,
            "value": [
              1.25,
              4.659090909090909
            ],
            "slacks": [
              0,
              2.3181818181818183,
              8.881784197001252e-16,
              2.409090909090909
            ],
            "objective": 1.25
          },
          "gap": 0,
          "complementarity": [
            0,
            0,
            0,
            0
          ],
          "budgetProduct": 0,
          "complementaritySum": 0
        },
        "budgetScan": [
          {
            "budget": 0,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.0185185185185186,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.0416666666666667,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.25,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.5,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.75,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 20,
            "reward": 1.25,
            "travel": 0,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          }
        ],
        "scope": "已知两状态模型的完整算术演示；VI、PI与LP独立构造。占用量未归一化，总质量1/(1−γ)。可行性比较容差显式保存，非向外舍入认证；迭代次数不是一般复杂度定理。"
      }
    },
    {
      "key": "boundary",
      "data": {
        "version": 179,
        "parameters": {
          "gamma": 1,
          "steps": 30,
          "camp": 0,
          "mine": 0,
          "piCamp": 0,
          "piMine": 1,
          "muCamp": 0.5,
          "budget": 1
        },
        "mu": [
          0.5,
          0.5
        ],
        "constraints": [
          {
            "state": 0,
            "action": 0,
            "A": [
              0,
              0
            ],
            "r": 1,
            "travel": 0
          },
          {
            "state": 0,
            "action": 1,
            "A": [
              1,
              -1
            ],
            "r": -2,
            "travel": 1
          },
          {
            "state": 1,
            "action": 0,
            "A": [
              -0.4,
              0.4
            ],
            "r": 4,
            "travel": 0
          },
          {
            "state": 1,
            "action": 1,
            "A": [
              -1,
              1
            ],
            "r": 2,
            "travel": 0
          }
        ],
        "vi": {
          "rows": [
            {
              "k": 0,
              "value": [
                0,
                0
              ],
              "q": [
                [
                  1,
                  -2
                ],
                [
                  4,
                  2
                ]
              ],
              "tv": [
                1,
                4
              ],
              "residual": 4,
              "residualBound": null
            },
            {
              "k": 1,
              "value": [
                1,
                4
              ],
              "q": [
                [
                  2,
                  2
                ],
                [
                  6.8,
                  3
                ]
              ],
              "tv": [
                2,
                6.8
              ],
              "residual": 2.8,
              "residualBound": null
            },
            {
              "k": 2,
              "value": [
                2,
                6.8
              ],
              "q": [
                [
                  3,
                  4.8
                ],
                [
                  8.879999999999999,
                  4
                ]
              ],
              "tv": [
                4.8,
                8.879999999999999
              ],
              "residual": 2.8,
              "residualBound": null
            },
            {
              "k": 3,
              "value": [
                4.8,
                8.879999999999999
              ],
              "q": [
                [
                  5.8,
                  6.879999999999999
                ],
                [
                  11.248,
                  6.8
                ]
              ],
              "tv": [
                6.879999999999999,
                11.248
              ],
              "residual": 2.3680000000000003,
              "residualBound": null
            },
            {
              "k": 4,
              "value": [
                6.879999999999999,
                11.248
              ],
              "q": [
                [
                  7.879999999999999,
                  9.248
                ],
                [
                  13.500799999999998,
                  8.879999999999999
                ]
              ],
              "tv": [
                9.248,
                13.500799999999998
              ],
              "residual": 2.3680000000000003,
              "residualBound": null
            },
            {
              "k": 5,
              "value": [
                9.248,
                13.500799999999998
              ],
              "q": [
                [
                  10.248,
                  11.500799999999998
                ],
                [
                  15.799679999999999,
                  11.248
                ]
              ],
              "tv": [
                11.500799999999998,
                15.799679999999999
              ],
              "residual": 2.2988800000000005,
              "residualBound": null
            },
            {
              "k": 6,
              "value": [
                11.500799999999998,
                15.799679999999999
              ],
              "q": [
                [
                  12.500799999999998,
                  13.799679999999999
                ],
                [
                  18.080128,
                  13.500799999999998
                ]
              ],
              "tv": [
                13.799679999999999,
                18.080128
              ],
              "residual": 2.2988800000000005,
              "residualBound": null
            },
            {
              "k": 7,
              "value": [
                13.799679999999999,
                18.080128
              ],
              "q": [
                [
                  14.799679999999999,
                  16.080128
                ],
                [
                  20.3679488,
                  15.799679999999999
                ]
              ],
              "tv": [
                16.080128,
                20.3679488
              ],
              "residual": 2.287820800000002,
              "residualBound": null
            },
            {
              "k": 8,
              "value": [
                16.080128,
                20.3679488
              ],
              "q": [
                [
                  17.080128,
                  18.3679488
                ],
                [
                  22.652820480000003,
                  18.080128
                ]
              ],
              "tv": [
                18.3679488,
                22.652820480000003
              ],
              "residual": 2.287820800000002,
              "residualBound": null
            },
            {
              "k": 9,
              "value": [
                18.3679488,
                22.652820480000003
              ],
              "q": [
                [
                  19.3679488,
                  20.652820480000003
                ],
                [
                  24.938871808000002,
                  20.3679488
                ]
              ],
              "tv": [
                20.652820480000003,
                24.938871808000002
              ],
              "residual": 2.286051327999999,
              "residualBound": null
            },
            {
              "k": 10,
              "value": [
                20.652820480000003,
                24.938871808000002
              ],
              "q": [
                [
                  21.652820480000003,
                  22.938871808000002
                ],
                [
                  27.224451276800004,
                  22.652820480000003
                ]
              ],
              "tv": [
                22.938871808000002,
                27.224451276800004
              ],
              "residual": 2.286051327999999,
              "residualBound": null
            },
            {
              "k": 11,
              "value": [
                22.938871808000002,
                27.224451276800004
              ],
              "q": [
                [
                  23.938871808000002,
                  25.224451276800004
                ],
                [
                  29.510219489280004,
                  24.938871808000002
                ]
              ],
              "tv": [
                25.224451276800004,
                29.510219489280004
              ],
              "residual": 2.2857682124800007,
              "residualBound": null
            },
            {
              "k": 12,
              "value": [
                25.224451276800004,
                29.510219489280004
              ],
              "q": [
                [
                  26.224451276800004,
                  27.510219489280004
                ],
                [
                  31.795912204288,
                  27.224451276800004
                ]
              ],
              "tv": [
                27.510219489280004,
                31.795912204288
              ],
              "residual": 2.2857682124800007,
              "residualBound": null
            },
            {
              "k": 13,
              "value": [
                27.510219489280004,
                31.795912204288
              ],
              "q": [
                [
                  28.510219489280004,
                  29.795912204288
                ],
                [
                  34.08163511828481,
                  29.510219489280004
                ]
              ],
              "tv": [
                29.795912204288,
                34.08163511828481
              ],
              "residual": 2.285722913996807,
              "residualBound": null
            },
            {
              "k": 14,
              "value": [
                29.795912204288,
                34.08163511828481
              ],
              "q": [
                [
                  30.795912204288,
                  32.08163511828481
                ],
                [
                  36.36734595268609,
                  31.795912204288
                ]
              ],
              "tv": [
                32.08163511828481,
                36.36734595268609
              ],
              "residual": 2.285722913996807,
              "residualBound": null
            },
            {
              "k": 15,
              "value": [
                32.08163511828481,
                36.36734595268609
              ],
              "q": [
                [
                  33.08163511828481,
                  34.36734595268609
                ],
                [
                  38.65306161892558,
                  34.08163511828481
                ]
              ],
              "tv": [
                34.36734595268609,
                38.65306161892558
              ],
              "residual": 2.28571566623949,
              "residualBound": null
            },
            {
              "k": 16,
              "value": [
                34.36734595268609,
                38.65306161892558
              ],
              "q": [
                [
                  35.36734595268609,
                  36.65306161892558
                ],
                [
                  40.938775352429786,
                  36.36734595268609
                ]
              ],
              "tv": [
                36.65306161892558,
                40.938775352429786
              ],
              "residual": 2.28571566623949,
              "residualBound": null
            },
            {
              "k": 17,
              "value": [
                36.65306161892558,
                40.938775352429786
              ],
              "q": [
                [
                  37.65306161892558,
                  38.938775352429786
                ],
                [
                  43.224489859028104,
                  38.65306161892558
                ]
              ],
              "tv": [
                38.938775352429786,
                43.224489859028104
              ],
              "residual": 2.2857145065983175,
              "residualBound": null
            },
            {
              "k": 18,
              "value": [
                38.938775352429786,
                43.224489859028104
              ],
              "q": [
                [
                  39.938775352429786,
                  41.224489859028104
                ],
                [
                  45.51020405638877,
                  40.938775352429786
                ]
              ],
              "tv": [
                41.224489859028104,
                45.51020405638877
              ],
              "residual": 2.2857145065983175,
              "residualBound": null
            },
            {
              "k": 19,
              "value": [
                41.224489859028104,
                45.51020405638877
              ],
              "q": [
                [
                  42.224489859028104,
                  43.51020405638877
                ],
                [
                  47.79591837744451,
                  43.224489859028104
                ]
              ],
              "tv": [
                43.51020405638877,
                47.79591837744451
              ],
              "residual": 2.2857143210557354,
              "residualBound": null
            },
            {
              "k": 20,
              "value": [
                43.51020405638877,
                47.79591837744451
              ],
              "q": [
                [
                  44.51020405638877,
                  45.79591837744451
                ],
                [
                  50.08163264902221,
                  45.51020405638877
                ]
              ],
              "tv": [
                45.79591837744451,
                50.08163264902221
              ],
              "residual": 2.2857143210557354,
              "residualBound": null
            },
            {
              "k": 21,
              "value": [
                45.79591837744451,
                50.08163264902221
              ],
              "q": [
                [
                  46.79591837744451,
                  48.08163264902221
                ],
                [
                  52.36734694039113,
                  47.79591837744451
                ]
              ],
              "tv": [
                48.08163264902221,
                52.36734694039113
              ],
              "residual": 2.285714291368919,
              "residualBound": null
            },
            {
              "k": 22,
              "value": [
                48.08163264902221,
                52.36734694039113
              ],
              "q": [
                [
                  49.08163264902221,
                  50.36734694039113
                ],
                [
                  54.653061223843565,
                  50.08163264902221
                ]
              ],
              "tv": [
                50.36734694039113,
                54.653061223843565
              ],
              "residual": 2.285714291368919,
              "residualBound": null
            },
            {
              "k": 23,
              "value": [
                50.36734694039113,
                54.653061223843565
              ],
              "q": [
                [
                  51.36734694039113,
                  52.653061223843565
                ],
                [
                  56.93877551046259,
                  52.36734694039113
                ]
              ],
              "tv": [
                52.653061223843565,
                56.93877551046259
              ],
              "residual": 2.285714286619026,
              "residualBound": null
            },
            {
              "k": 24,
              "value": [
                52.653061223843565,
                56.93877551046259
              ],
              "q": [
                [
                  53.653061223843565,
                  54.93877551046259
                ],
                [
                  59.224489795814975,
                  54.653061223843565
                ]
              ],
              "tv": [
                54.93877551046259,
                59.224489795814975
              ],
              "residual": 2.285714286619026,
              "residualBound": null
            },
            {
              "k": 25,
              "value": [
                54.93877551046259,
                59.224489795814975
              ],
              "q": [
                [
                  55.93877551046259,
                  57.224489795814975
                ],
                [
                  61.51020408167402,
                  56.93877551046259
                ]
              ],
              "tv": [
                57.224489795814975,
                61.51020408167402
              ],
              "residual": 2.2857142858590436,
              "residualBound": null
            },
            {
              "k": 26,
              "value": [
                57.224489795814975,
                61.51020408167402
              ],
              "q": [
                [
                  58.224489795814975,
                  59.51020408167402
                ],
                [
                  63.7959183673304,
                  59.224489795814975
                ]
              ],
              "tv": [
                59.51020408167402,
                63.7959183673304
              ],
              "residual": 2.2857142858590436,
              "residualBound": null
            },
            {
              "k": 27,
              "value": [
                59.51020408167402,
                63.7959183673304
              ],
              "q": [
                [
                  60.51020408167402,
                  61.7959183673304
                ],
                [
                  66.08163265306786,
                  61.51020408167402
                ]
              ],
              "tv": [
                61.7959183673304,
                66.08163265306786
              ],
              "residual": 2.2857142857374555,
              "residualBound": null
            },
            {
              "k": 28,
              "value": [
                61.7959183673304,
                66.08163265306786
              ],
              "q": [
                [
                  62.7959183673304,
                  64.08163265306786
                ],
                [
                  68.36734693877287,
                  63.7959183673304
                ]
              ],
              "tv": [
                64.08163265306786,
                68.36734693877287
              ],
              "residual": 2.2857142857374555,
              "residualBound": null
            },
            {
              "k": 29,
              "value": [
                64.08163265306786,
                68.36734693877287
              ],
              "q": [
                [
                  65.08163265306786,
                  66.36734693877287
                ],
                [
                  70.65306122449087,
                  66.08163265306786
                ]
              ],
              "tv": [
                66.36734693877287,
                70.65306122449087
              ],
              "residual": 2.285714285718001,
              "residualBound": null
            },
            {
              "k": 30,
              "value": [
                66.36734693877287,
                70.65306122449087
              ],
              "q": [
                [
                  67.36734693877287,
                  68.65306122449087
                ],
                [
                  72.93877551020367,
                  68.36734693877287
                ]
              ],
              "tv": [
                68.65306122449087,
                72.93877551020367
              ],
              "residual": 2.285714285718001,
              "residualBound": null
            }
          ],
          "finalValue": [
            66.36734693877287,
            70.65306122449087
          ]
        },
        "policies": null,
        "pi": null,
        "lp": null,
        "occupancies": null,
        "constrained": null,
        "budgetScan": [],
        "scope": "γ=1仅有限VI；折现评估、LP与占用量不适用。"
      }
    },
    {
      "key": "forbidden",
      "data": {
        "version": 179,
        "parameters": {
          "gamma": 0.8,
          "steps": 30,
          "camp": 0,
          "mine": 0,
          "piCamp": 0,
          "piMine": 1,
          "muCamp": 0.5,
          "budget": 0
        },
        "mu": [
          0.5,
          0.5
        ],
        "constraints": [
          {
            "state": 0,
            "action": 0,
            "A": [
              0.19999999999999996,
              0
            ],
            "r": 1,
            "travel": 0
          },
          {
            "state": 0,
            "action": 1,
            "A": [
              1,
              -0.8
            ],
            "r": -2,
            "travel": 1
          },
          {
            "state": 1,
            "action": 0,
            "A": [
              -0.32000000000000006,
              0.52
            ],
            "r": 4,
            "travel": 0
          },
          {
            "state": 1,
            "action": 1,
            "A": [
              -0.8,
              1
            ],
            "r": 2,
            "travel": 0
          }
        ],
        "vi": {
          "rows": [
            {
              "k": 0,
              "value": [
                0,
                0
              ],
              "q": [
                [
                  1,
                  -2
                ],
                [
                  4,
                  2
                ]
              ],
              "tv": [
                1,
                4
              ],
              "residual": 4,
              "residualBound": 20.000000000000004
            },
            {
              "k": 1,
              "value": [
                1,
                4
              ],
              "q": [
                [
                  1.8,
                  1.2000000000000002
                ],
                [
                  6.24,
                  2.8
                ]
              ],
              "tv": [
                1.8,
                6.24
              ],
              "residual": 2.24,
              "residualBound": 11.200000000000003
            },
            {
              "k": 2,
              "value": [
                1.8,
                6.24
              ],
              "q": [
                [
                  2.4400000000000004,
                  2.992000000000001
                ],
                [
                  7.571199999999999,
                  3.4400000000000004
                ]
              ],
              "tv": [
                2.992000000000001,
                7.571199999999999
              ],
              "residual": 1.331199999999999,
              "residualBound": 6.655999999999997
            },
            {
              "k": 3,
              "value": [
                2.992000000000001,
                7.571199999999999
              ],
              "q": [
                [
                  3.3936000000000006,
                  4.05696
                ],
                [
                  8.591616,
                  4.393600000000001
                ]
              ],
              "tv": [
                4.05696,
                8.591616
              ],
              "residual": 1.0649599999999992,
              "residualBound": 5.324799999999997
            },
            {
              "k": 4,
              "value": [
                4.05696,
                8.591616
              ],
              "q": [
                [
                  4.2455680000000005,
                  4.873292800000001
                ],
                [
                  9.42220288,
                  5.2455680000000005
                ]
              ],
              "tv": [
                4.873292800000001,
                9.42220288
              ],
              "residual": 0.8305868800000002,
              "residualBound": 4.152934400000002
            },
            {
              "k": 5,
              "value": [
                4.873292800000001,
                9.42220288
              ],
              "q": [
                [
                  4.898634240000001,
                  5.537762304000001
                ],
                [
                  10.0821110784,
                  5.898634240000001
                ]
              ],
              "tv": [
                5.537762304000001,
                10.0821110784
              ],
              "residual": 0.6644695040000004,
              "residualBound": 3.3223475200000028
            },
            {
              "k": 6,
              "value": [
                5.537762304000001,
                10.0821110784
              ],
              "q": [
                [
                  5.430209843200001,
                  6.06568886272
                ],
                [
                  10.611497254912003,
                  6.430209843200001
                ]
              ],
              "tv": [
                6.06568886272,
                10.611497254912003
              ],
              "residual": 0.529386176512002,
              "residualBound": 2.6469308825600106
            },
            {
              "k": 7,
              "value": [
                6.06568886272,
                10.611497254912003
              ],
              "q": [
                [
                  5.852551090176,
                  6.489197803929603
                ],
                [
                  11.03453911842816,
                  6.852551090176
                ]
              ],
              "tv": [
                6.489197803929603,
                11.03453911842816
              ],
              "residual": 0.4235089412096027,
              "residualBound": 2.117544706048014
            },
            {
              "k": 8,
              "value": [
                6.489197803929603,
                11.03453911842816
              ],
              "q": [
                [
                  6.191358243143682,
                  6.827631294742529
                ],
                [
                  11.373122074102989,
                  7.191358243143682
                ]
              ],
              "tv": [
                6.827631294742529,
                11.373122074102989
              ],
              "residual": 0.33858295567482877,
              "residualBound": 1.6929147783741443
            },
            {
              "k": 9,
              "value": [
                6.827631294742529,
                11.373122074102989
              ],
              "q": [
                [
                  6.462105035794024,
                  7.098497659282392
                ],
                [
                  11.643940609887043,
                  7.462105035794024
                ]
              ],
              "tv": [
                7.098497659282392,
                11.643940609887043
              ],
              "residual": 0.270866364539863,
              "residualBound": 1.3543318226993153
            },
            {
              "k": 10,
              "value": [
                7.098497659282392,
                11.643940609887043
              ],
              "q": [
                [
                  6.678798127425914,
                  7.315152487909634
                ],
                [
                  11.860610743716146,
                  7.678798127425914
                ]
              ],
              "tv": [
                7.315152487909634,
                11.860610743716146
              ],
              "residual": 0.21667013382910305,
              "residualBound": 1.0833506691455155
            },
            {
              "k": 11,
              "value": [
                7.315152487909634,
                11.860610743716146
              ],
              "q": [
                [
                  6.852121990327707,
                  7.488488594972917
                ],
                [
                  12.033941953114832,
                  7.852121990327707
                ]
              ],
              "tv": [
                7.488488594972917,
                12.033941953114832
              ],
              "residual": 0.1733361070632835,
              "residualBound": 0.8666805353164178
            },
            {
              "k": 12,
              "value": [
                7.488488594972917,
                12.033941953114832
              ],
              "q": [
                [
                  6.990790875978334,
                  7.627153562491866
                ],
                [
                  12.172608487886453,
                  7.990790875978334
                ]
              ],
              "tv": [
                7.627153562491866,
                12.172608487886453
              ],
              "residual": 0.13866653477162139,
              "residualBound": 0.693332673858107
            },
            {
              "k": 13,
              "value": [
                7.627153562491866,
                12.172608487886453
              ],
              "q": [
                [
                  7.101722849993493,
                  7.738086790309163
                ],
                [
                  12.283541214182895,
                  8.101722849993493
                ]
              ],
              "tv": [
                7.738086790309163,
                12.283541214182895
              ],
              "residual": 0.11093322781729675,
              "residualBound": 0.5546661390864839
            },
            {
              "k": 14,
              "value": [
                7.738086790309163,
                12.283541214182895
              ],
              "q": [
                [
                  7.190469432247331,
                  7.826832971346317
                ],
                [
                  12.372287555706722,
                  8.19046943224733
                ]
              ],
              "tv": [
                7.826832971346317,
                12.372287555706722
              ],
              "residual": 0.08874634152382654,
              "residualBound": 0.44373170761913283
            },
            {
              "k": 15,
              "value": [
                7.826832971346317,
                12.372287555706722
              ],
              "q": [
                [
                  7.261466377077054,
                  7.897830044565378
                ],
                [
                  12.443284577570047,
                  8.261466377077053
                ]
              ],
              "tv": [
                7.897830044565378,
                12.443284577570047
              ],
              "residual": 0.07099707321906124,
              "residualBound": 0.35498536609530623
            },
            {
              "k": 16,
              "value": [
                7.897830044565378,
                12.443284577570047
              ],
              "q": [
                [
                  7.3182640356523025,
                  7.954627662056039
                ],
                [
                  12.500082211494544,
                  8.318264035652302
                ]
              ],
              "tv": [
                7.954627662056039,
                12.500082211494544
              ],
              "residual": 0.05679763392449644,
              "residualBound": 0.28398816962248224
            },
            {
              "k": 17,
              "value": [
                7.954627662056039,
                12.500082211494544
              ],
              "q": [
                [
                  7.363702129644832,
                  8.000065769195636
                ],
                [
                  12.545520313375313,
                  8.363702129644832
                ]
              ],
              "tv": [
                8.000065769195636,
                12.545520313375313
              ],
              "residual": 0.045438107139597506,
              "residualBound": 0.22719053569798758
            },
            {
              "k": 18,
              "value": [
                8.000065769195636,
                12.545520313375313
              ],
              "q": [
                [
                  7.400052615356509,
                  8.03641625070025
                ],
                [
                  12.581870796562754,
                  8.40005261535651
                ]
              ],
              "tv": [
                8.03641625070025,
                12.581870796562754
              ],
              "residual": 0.03635048318744083,
              "residualBound": 0.18175241593720418
            },
            {
              "k": 19,
              "value": [
                8.03641625070025,
                12.581870796562754
              ],
              "q": [
                [
                  7.429133000560201,
                  8.065496637250204
                ],
                [
                  12.610951182574203,
                  8.429133000560201
                ]
              ],
              "tv": [
                8.065496637250204,
                12.610951182574203
              ],
              "residual": 0.029080386549953374,
              "residualBound": 0.1454019327497669
            },
            {
              "k": 20,
              "value": [
                8.065496637250204,
                12.610951182574203
              ],
              "q": [
                [
                  7.452397309800164,
                  8.088760946059363
                ],
                [
                  12.634215491555683,
                  8.452397309800164
                ]
              ],
              "tv": [
                8.088760946059363,
                12.634215491555683
              ],
              "residual": 0.023264308981479687,
              "residualBound": 0.11632154490739846
            },
            {
              "k": 21,
              "value": [
                8.088760946059363,
                12.634215491555683
              ],
              "q": [
                [
                  7.471008756847491,
                  8.107372393244546
                ],
                [
                  12.652826938685724,
                  8.47100875684749
                ]
              ],
              "tv": [
                8.107372393244546,
                12.652826938685724
              ],
              "residual": 0.01861144718518304,
              "residualBound": 0.09305723592591521
            },
            {
              "k": 22,
              "value": [
                8.107372393244546,
                12.652826938685724
              ],
              "q": [
                [
                  7.485897914595637,
                  8.12226155094858
                ],
                [
                  12.667716096407402,
                  8.485897914595636
                ]
              ],
              "tv": [
                8.12226155094858,
                12.667716096407402
              ],
              "residual": 0.014889157721677648,
              "residualBound": 0.07444578860838826
            },
            {
              "k": 23,
              "value": [
                8.12226155094858,
                12.667716096407402
              ],
              "q": [
                [
                  7.497809240758864,
                  8.134172877125922
                ],
                [
                  12.679627422579099,
                  8.497809240758864
                ]
              ],
              "tv": [
                8.134172877125922,
                12.679627422579099
              ],
              "residual": 0.011911326177342474,
              "residualBound": 0.05955663088671238
            },
            {
              "k": 24,
              "value": [
                8.134172877125922,
                12.679627422579099
              ],
              "q": [
                [
                  7.507338301700738,
                  8.14370193806328
                ],
                [
                  12.689156483518262,
                  8.507338301700738
                ]
              ],
              "tv": [
                8.14370193806328,
                12.689156483518262
              ],
              "residual": 0.009529060939163614,
              "residualBound": 0.04764530469581808
            },
            {
              "k": 25,
              "value": [
                8.14370193806328,
                12.689156483518262
              ],
              "q": [
                [
                  7.514961550450625,
                  8.15132518681461
                ],
                [
                  12.696779732269016,
                  8.514961550450625
                ]
              ],
              "tv": [
                8.15132518681461,
                12.696779732269016
              ],
              "residual": 0.00762324875132947,
              "residualBound": 0.03811624375664736
            },
            {
              "k": 26,
              "value": [
                8.15132518681461,
                12.696779732269016
              ],
              "q": [
                [
                  7.521060149451689,
                  8.157423785815213
                ],
                [
                  12.702878331269805,
                  8.521060149451689
                ]
              ],
              "tv": [
                8.157423785815213,
                12.702878331269805
              ],
              "residual": 0.006098599000788241,
              "residualBound": 0.03049299500394121
            },
            {
              "k": 27,
              "value": [
                8.157423785815213,
                12.702878331269805
              ],
              "q": [
                [
                  7.5259390286521715,
                  8.162302665015844
                ],
                [
                  12.707757210470374,
                  8.525939028652171
                ]
              ],
              "tv": [
                8.162302665015844,
                12.707757210470374
              ],
              "residual": 0.004878879200630237,
              "residualBound": 0.024394396003151193
            },
            {
              "k": 28,
              "value": [
                8.162302665015844,
                12.707757210470374
              ],
              "q": [
                [
                  7.529842132012675,
                  8.166205768376301
                ],
                [
                  12.71166031383085,
                  8.529842132012675
                ]
              ],
              "tv": [
                8.166205768376301,
                12.71166031383085
              ],
              "residual": 0.0039031033604750576,
              "residualBound": 0.01951551680237529
            },
            {
              "k": 29,
              "value": [
                8.166205768376301,
                12.71166031383085
              ],
              "q": [
                [
                  7.532964614701041,
                  8.16932825106468
                ],
                [
                  12.714782796519223,
                  8.53296461470104
                ]
              ],
              "tv": [
                8.16932825106468,
                12.714782796519223
              ],
              "residual": 0.0031224826883793355,
              "residualBound": 0.015612413441896681
            },
            {
              "k": 30,
              "value": [
                8.16932825106468,
                12.714782796519223
              ],
              "q": [
                [
                  7.535462600851744,
                  8.17182623721538
                ],
                [
                  12.717280782669926,
                  8.535462600851744
                ]
              ],
              "tv": [
                8.17182623721538,
                12.717280782669926
              ],
              "residual": 0.0024979861507024026,
              "residualBound": 0.012489930753512016
            }
          ],
          "finalValue": [
            8.16932825106468,
            12.714782796519223
          ]
        },
        "policies": [
          {
            "policy": [
              0,
              0
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  0
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.10399999999999998,
              "value": [
                5.000000000000001,
                10.76923076923077
              ]
            },
            "value": [
              5.000000000000001,
              10.76923076923077
            ]
          },
          {
            "policy": [
              0,
              1
            ],
            "P": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              1,
              2
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  0
                ],
                [
                  -0.8,
                  1
                ]
              ],
              "right": [
                1,
                2
              ],
              "det": 0.19999999999999996,
              "value": [
                5.000000000000001,
                6.000000000000001
              ]
            },
            "value": [
              5.000000000000001,
              6.000000000000001
            ]
          },
          {
            "policy": [
              1,
              0
            ],
            "P": [
              [
                0,
                1
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              -2,
              4
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.26399999999999996,
              "value": [
                8.181818181818183,
                12.727272727272728
              ]
            },
            "value": [
              8.181818181818183,
              12.727272727272728
            ]
          },
          {
            "policy": [
              1,
              1
            ],
            "P": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ],
            "r": [
              -2,
              2
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.8,
                  1
                ]
              ],
              "right": [
                -2,
                2
              ],
              "det": 0.3599999999999999,
              "value": [
                -1.1111111111111112,
                1.1111111111111112
              ]
            },
            "value": [
              -1.1111111111111112,
              1.1111111111111112
            ]
          }
        ],
        "pi": {
          "rows": [
            {
              "k": 0,
              "policy": [
                0,
                1
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  1,
                  0
                ]
              ],
              "r": [
                1,
                2
              ],
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.19999999999999996,
                "value": [
                  5.000000000000001,
                  6.000000000000001
                ]
              },
              "value": [
                5.000000000000001,
                6.000000000000001
              ],
              "q": [
                [
                  5.000000000000001,
                  2.8000000000000007
                ],
                [
                  8.48,
                  6.000000000000001
                ]
              ],
              "tolerance": 1.20508047984913e-13,
              "improved": [
                0,
                0
              ],
              "advantage": [
                0,
                2.4799999999999995
              ],
              "stable": false
            },
            {
              "k": 1,
              "policy": [
                0,
                0
              ],
              "P": [
                [
                  1,
                  0
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                1,
                4
              ],
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.10399999999999998,
                "value": [
                  5.000000000000001,
                  10.76923076923077
                ]
              },
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "q": [
                [
                  5.000000000000001,
                  6.615384615384617
                ],
                [
                  10.76923076923077,
                  6.000000000000001
                ]
              ],
              "tolerance": 1.530399738560216e-13,
              "improved": [
                1,
                0
              ],
              "advantage": [
                1.6153846153846159,
                0
              ],
              "stable": false
            },
            {
              "k": 2,
              "policy": [
                1,
                0
              ],
              "P": [
                [
                  0,
                  1
                ],
                [
                  0.4,
                  0.6
                ]
              ],
              "r": [
                -2,
                4
              ],
              "system": {
                "matrix": [
                  [
                    1,
                    -0.8
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.26399999999999996,
                "value": [
                  8.181818181818183,
                  12.727272727272728
                ]
              },
              "value": [
                8.181818181818183,
                12.727272727272728
              ],
              "q": [
                [
                  7.545454545454547,
                  8.181818181818183
                ],
                [
                  12.727272727272728,
                  8.545454545454547
                ]
              ],
              "tolerance": 1.8086542364802552e-13,
              "improved": [
                1,
                0
              ],
              "advantage": [
                0,
                0
              ],
              "stable": true
            }
          ],
          "finalPolicy": [
            1,
            0
          ],
          "finalValue": [
            8.181818181818183,
            12.727272727272728
          ]
        },
        "lp": {
          "vertices": [
            {
              "i": 0,
              "j": 1,
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    1,
                    -0.8
                  ]
                ],
                "right": [
                  1,
                  -2
                ],
                "det": -0.15999999999999998,
                "value": [
                  5.000000000000001,
                  8.75
                ]
              },
              "value": [
                5.000000000000001,
                8.75
              ],
              "slacks": [
                0,
                8.881784197001252e-16,
                -1.0500000000000007,
                2.749999999999999
              ],
              "tolerance": 8.75e-9,
              "feasible": false,
              "objective": 6.875
            },
            {
              "i": 0,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  1,
                  4
                ],
                "det": 0.10399999999999998,
                "value": [
                  5.000000000000001,
                  10.76923076923077
                ]
              },
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "slacks": [
                0,
                -1.6153846153846159,
                0,
                4.769230769230769
              ],
              "tolerance": 1.076923076923077e-8,
              "feasible": false,
              "objective": 7.884615384615385
            },
            {
              "i": 0,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    0.19999999999999996,
                    0
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  1,
                  2
                ],
                "det": 0.19999999999999996,
                "value": [
                  5.000000000000001,
                  6.000000000000001
                ]
              },
              "value": [
                5.000000000000001,
                6.000000000000001
              ],
              "slacks": [
                0,
                2.2,
                -2.48,
                0
              ],
              "tolerance": 6.000000000000002e-9,
              "feasible": false,
              "objective": 5.500000000000001
            },
            {
              "i": 1,
              "j": 2,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.8
                  ],
                  [
                    -0.32000000000000006,
                    0.52
                  ]
                ],
                "right": [
                  -2,
                  4
                ],
                "det": 0.26399999999999996,
                "value": [
                  8.181818181818183,
                  12.727272727272728
                ]
              },
              "value": [
                8.181818181818183,
                12.727272727272728
              ],
              "slacks": [
                0.6363636363636362,
                0,
                0,
                4.181818181818182
              ],
              "tolerance": 1.2727272727272728e-8,
              "feasible": true,
              "objective": 10.454545454545457
            },
            {
              "i": 1,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    1,
                    -0.8
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  -2,
                  2
                ],
                "det": 0.3599999999999999,
                "value": [
                  -1.1111111111111112,
                  1.1111111111111112
                ]
              },
              "value": [
                -1.1111111111111112,
                1.1111111111111112
              ],
              "slacks": [
                -1.222222222222222,
                0,
                -3.0666666666666664,
                0
              ],
              "tolerance": 1.1111111111111113e-9,
              "feasible": false,
              "objective": 0
            },
            {
              "i": 2,
              "j": 3,
              "system": {
                "matrix": [
                  [
                    -0.32000000000000006,
                    0.52
                  ],
                  [
                    -0.8,
                    1
                  ]
                ],
                "right": [
                  4,
                  2
                ],
                "det": 0.09599999999999997,
                "value": [
                  30.833333333333343,
                  26.666666666666675
                ]
              },
              "value": [
                30.833333333333343,
                26.666666666666675
              ],
              "slacks": [
                5.166666666666667,
                11.5,
                -1.7763568394002505e-15,
                0
              ],
              "tolerance": 3.0833333333333345e-8,
              "feasible": true,
              "objective": 28.750000000000007
            }
          ],
          "best": {
            "i": 1,
            "j": 2,
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                -2,
                4
              ],
              "det": 0.26399999999999996,
              "value": [
                8.181818181818183,
                12.727272727272728
              ]
            },
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "slacks": [
              0.6363636363636362,
              0,
              0,
              4.181818181818182
            ],
            "tolerance": 1.2727272727272728e-8,
            "feasible": true,
            "objective": 10.454545454545457
          },
          "dual": {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.32000000000000006
                ],
                [
                  -0.8,
                  0.52
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.26399999999999996,
              "value": [
                1.5909090909090913,
                3.4090909090909096
              ]
            },
            "z": [
              1.5909090909090913,
              3.4090909090909096
            ],
            "x": [
              [
                0,
                1.5909090909090913
              ],
              [
                3.4090909090909096,
                0
              ]
            ],
            "flow": [
              0,
              -4.440892098500626e-16
            ],
            "total": 5.000000000000001,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "weightedValue": 10.454545454545457
          },
          "gap": 0,
          "complementarity": [
            0,
            0,
            0,
            0
          ],
          "complementaritySum": 0
        },
        "occupancies": [
          {
            "policy": [
              0,
              0
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  -0.32000000000000006
                ],
                [
                  0,
                  0.52
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.10399999999999998,
              "value": [
                4.038461538461539,
                0.9615384615384615
              ]
            },
            "z": [
              4.038461538461539,
              0.9615384615384615
            ],
            "x": [
              [
                4.038461538461539,
                0
              ],
              [
                0.9615384615384615,
                0
              ]
            ],
            "flow": [
              4.440892098500626e-16,
              -5.551115123125783e-17
            ],
            "total": 5.000000000000001,
            "reward": 7.884615384615385,
            "travel": 0,
            "value": [
              5.000000000000001,
              10.76923076923077
            ],
            "weightedValue": 7.884615384615385
          },
          {
            "policy": [
              0,
              1
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  -0.8
                ],
                [
                  0,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.19999999999999996,
              "value": [
                4.500000000000001,
                0.5
              ]
            },
            "z": [
              4.500000000000001,
              0.5
            ],
            "x": [
              [
                4.500000000000001,
                0
              ],
              [
                0,
                0.5
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 5.000000000000001,
            "reward": 5.500000000000001,
            "travel": 0,
            "value": [
              5.000000000000001,
              6.000000000000001
            ],
            "weightedValue": 5.500000000000001
          },
          {
            "policy": [
              1,
              0
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.32000000000000006
                ],
                [
                  -0.8,
                  0.52
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.26399999999999996,
              "value": [
                1.5909090909090913,
                3.4090909090909096
              ]
            },
            "z": [
              1.5909090909090913,
              3.4090909090909096
            ],
            "x": [
              [
                0,
                1.5909090909090913
              ],
              [
                3.4090909090909096,
                0
              ]
            ],
            "flow": [
              0,
              -4.440892098500626e-16
            ],
            "total": 5.000000000000001,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "value": [
              8.181818181818183,
              12.727272727272728
            ],
            "weightedValue": 10.454545454545457
          },
          {
            "policy": [
              1,
              1
            ],
            "system": {
              "matrix": [
                [
                  1,
                  -0.8
                ],
                [
                  -0.8,
                  1
                ]
              ],
              "right": [
                0.5,
                0.5
              ],
              "det": 0.3599999999999999,
              "value": [
                2.500000000000001,
                2.500000000000001
              ]
            },
            "z": [
              2.500000000000001,
              2.500000000000001
            ],
            "x": [
              [
                0,
                2.500000000000001
              ],
              [
                0,
                2.500000000000001
              ]
            ],
            "flow": [
              0,
              0
            ],
            "total": 5.000000000000002,
            "reward": 0,
            "travel": 2.500000000000001,
            "value": [
              -1.1111111111111112,
              1.1111111111111112
            ],
            "weightedValue": 0
          }
        ],
        "constrained": {
          "budget": 0,
          "candidates": [
            {
              "i": 0,
              "j": 0,
              "lambda": 1,
              "x": [
                [
                  4.038461538461539,
                  0
                ],
                [
                  0.9615384615384615,
                  0
                ]
              ],
              "travel": 0,
              "reward": 7.884615384615385,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 1,
              "j": 1,
              "lambda": 1,
              "x": [
                [
                  4.500000000000001,
                  0
                ],
                [
                  0,
                  0.5
                ]
              ],
              "travel": 0,
              "reward": 5.500000000000001,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 2,
              "j": 2,
              "lambda": 1,
              "x": [
                [
                  0,
                  1.5909090909090913
                ],
                [
                  3.4090909090909096,
                  0
                ]
              ],
              "travel": 1.5909090909090913,
              "reward": 10.454545454545457,
              "budgetSlack": -1.5909090909090913,
              "feasible": false
            },
            {
              "i": 3,
              "j": 3,
              "lambda": 1,
              "x": [
                [
                  0,
                  2.500000000000001
                ],
                [
                  0,
                  2.500000000000001
                ]
              ],
              "travel": 2.500000000000001,
              "reward": 0,
              "budgetSlack": -2.500000000000001,
              "feasible": false
            },
            {
              "i": 0,
              "j": 2,
              "lambda": 1,
              "x": [
                [
                  4.038461538461539,
                  0
                ],
                [
                  0.9615384615384615,
                  0
                ]
              ],
              "travel": 0,
              "reward": 7.884615384615385,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 0,
              "j": 3,
              "lambda": 1,
              "x": [
                [
                  4.038461538461539,
                  0
                ],
                [
                  0.9615384615384615,
                  0
                ]
              ],
              "travel": 0,
              "reward": 7.884615384615385,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 1,
              "j": 2,
              "lambda": 1,
              "x": [
                [
                  4.500000000000001,
                  0
                ],
                [
                  0,
                  0.5
                ]
              ],
              "travel": 0,
              "reward": 5.500000000000001,
              "budgetSlack": 0,
              "feasible": true
            },
            {
              "i": 1,
              "j": 3,
              "lambda": 1,
              "x": [
                [
                  4.500000000000001,
                  0
                ],
                [
                  0,
                  0.5
                ]
              ],
              "travel": 0,
              "reward": 5.500000000000001,
              "budgetSlack": 0,
              "feasible": true
            }
          ],
          "best": {
            "i": 0,
            "j": 0,
            "lambda": 1,
            "x": [
              [
                4.038461538461539,
                0
              ],
              [
                0.9615384615384615,
                0
              ]
            ],
            "travel": 0,
            "reward": 7.884615384615385,
            "budgetSlack": 0,
            "feasible": true
          },
          "recovery": {
            "z": [
              4.038461538461539,
              0.9615384615384615
            ],
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ],
            "P": [
              [
                1,
                0
              ],
              [
                0.4,
                0.6
              ]
            ],
            "r": [
              1,
              4
            ],
            "system": {
              "matrix": [
                [
                  0.19999999999999996,
                  0
                ],
                [
                  -0.32000000000000006,
                  0.52
                ]
              ],
              "right": [
                1,
                4
              ],
              "det": 0.10399999999999998,
              "value": [
                5.000000000000001,
                10.76923076923077
              ]
            },
            "weightedValue": 7.884615384615385,
            "flow": [
              4.440892098500626e-16,
              -5.551115123125783e-17
            ]
          },
          "shadow": [
            {
              "eta": 0,
              "value": [
                8.181818181818183,
                12.727272727272728
              ],
              "slacks": [
                0.6363636363636362,
                0,
                0,
                4.181818181818182
              ],
              "objective": 10.454545454545457
            },
            {
              "eta": 1.615384615384616,
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "slacks": [
                0,
                2.220446049250313e-16,
                0,
                4.769230769230769
              ],
              "objective": 7.884615384615385
            },
            {
              "eta": 3.1142857142857143,
              "value": [
                5.000000000000001,
                10.76923076923077
              ],
              "slacks": [
                0,
                1.4989010989010985,
                0,
                4.769230769230769
              ],
              "objective": 7.884615384615385
            }
          ],
          "dual": {
            "eta": 1.615384615384616,
            "value": [
              5.000000000000001,
              10.76923076923077
            ],
            "slacks": [
              0,
              2.220446049250313e-16,
              0,
              4.769230769230769
            ],
            "objective": 7.884615384615385
          },
          "gap": 0,
          "complementarity": [
            0,
            0,
            0,
            0
          ],
          "budgetProduct": 0,
          "complementaritySum": 0
        },
        "budgetScan": [
          {
            "budget": 0,
            "reward": 7.884615384615385,
            "travel": 0,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                1,
                0
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.25,
            "reward": 8.28846153846154,
            "travel": 0.25000000000000006,
            "eta": 1.615384615384616,
            "gap": -1.7763568394002505e-15,
            "pi": [
              [
                0.9315789473684211,
                0.06842105263157895
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.5,
            "reward": 8.692307692307693,
            "travel": 0.49999999999999994,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                0.8470588235294118,
                0.1529411764705882
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 0.75,
            "reward": 9.096153846153847,
            "travel": 0.75,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                0.7400000000000001,
                0.2599999999999999
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1,
            "reward": 9.5,
            "travel": 1,
            "eta": 1.615384615384616,
            "gap": 1.7763568394002505e-15,
            "pi": [
              [
                0.6000000000000001,
                0.39999999999999986
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.25,
            "reward": 9.903846153846155,
            "travel": 1.25,
            "eta": 1.615384615384616,
            "gap": 0,
            "pi": [
              [
                0.40909090909090934,
                0.5909090909090906
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.5,
            "reward": 10.307692307692308,
            "travel": 1.5,
            "eta": 1.615384615384616,
            "gap": 1.7763568394002505e-15,
            "pi": [
              [
                0.13333333333333378,
                0.8666666666666661
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.5909090909090913,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 1.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.500000000000001,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 2.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 3.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 4.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 5.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 6.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 7.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 8.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 9.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 10.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 11.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 12.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 13.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 14.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 15.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 16.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 17.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 18.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.25,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.5,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 19.75,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          },
          {
            "budget": 20,
            "reward": 10.454545454545457,
            "travel": 1.5909090909090913,
            "eta": 0,
            "gap": 0,
            "pi": [
              [
                0,
                1
              ],
              [
                1,
                0
              ]
            ]
          }
        ],
        "scope": "已知两状态模型的完整算术演示；VI、PI与LP独立构造。占用量未归一化，总质量1/(1−γ)。可行性比较容差显式保存，非向外舍入认证；迭代次数不是一般复杂度定理。"
      }
    }
  ]
}