{
  "metadata": {
    "source": "Mankowska HCSRP",
    "seed": 1,
    "sigma": 0.15,
    "dataset_version": "r2_3dp",
    "source_sha256": "51ea32eb479a7688aab8ec54b3c80fa259f09868c8639d2fde8d145813f22e4e",
    "rounding_rule": "ROUND_HALF_UP to 0.001: coordinates first, Euclidean travel times from rounded coordinates second, service durations third; facility opening costs recomputed from final travel times"
  },
  "parameters": {
    "p": 10
  },
  "sets": {
    "customers": [
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9,
      10,
      11,
      12,
      13,
      14,
      15,
      16,
      17,
      18,
      19,
      20,
      21,
      22,
      23,
      24,
      25,
      26,
      27,
      28,
      29,
      30,
      31,
      32,
      33,
      34,
      35,
      36,
      37,
      38,
      39,
      40,
      41,
      42,
      43,
      44,
      45,
      46,
      47,
      48,
      49,
      50
    ],
    "facilities": [
      1000,
      1001,
      1002,
      1003,
      1004,
      1005,
      1006,
      1007,
      1008,
      1009,
      1010,
      1011,
      1012,
      1013,
      1014,
      1015,
      1016,
      1017,
      1018,
      1019
    ],
    "vehicles": [
      0,
      1,
      2,
      3,
      4,
      5,
      6,
      7,
      8,
      9
    ]
  },
  "coordinates": {
    "customers": {
      "1": {
        "x": 47.0,
        "y": 32.0
      },
      "2": {
        "x": 54.0,
        "y": 44.0
      },
      "3": {
        "x": 34.0,
        "y": 25.0
      },
      "4": {
        "x": 78.0,
        "y": 44.0
      },
      "5": {
        "x": 69.0,
        "y": 24.0
      },
      "6": {
        "x": 17.0,
        "y": 8.0
      },
      "7": {
        "x": 62.0,
        "y": 43.0
      },
      "8": {
        "x": 92.0,
        "y": 3.0
      },
      "9": {
        "x": 96.0,
        "y": 47.0
      },
      "10": {
        "x": 76.0,
        "y": 17.0
      },
      "11": {
        "x": 10.0,
        "y": 30.0
      },
      "12": {
        "x": 74.0,
        "y": 1.0
      },
      "13": {
        "x": 98.0,
        "y": 33.0
      },
      "14": {
        "x": 37.0,
        "y": 7.0
      },
      "15": {
        "x": 5.0,
        "y": 16.0
      },
      "16": {
        "x": 0.0,
        "y": 27.0
      },
      "17": {
        "x": 63.0,
        "y": 45.0
      },
      "18": {
        "x": 89.0,
        "y": 0.0
      },
      "19": {
        "x": 75.0,
        "y": 19.0
      },
      "20": {
        "x": 15.0,
        "y": 8.0
      },
      "21": {
        "x": 77.0,
        "y": 3.0
      },
      "22": {
        "x": 77.0,
        "y": 40.0
      },
      "23": {
        "x": 20.0,
        "y": 26.0
      },
      "24": {
        "x": 0.0,
        "y": 16.0
      },
      "25": {
        "x": 52.0,
        "y": 46.0
      },
      "26": {
        "x": 76.0,
        "y": 21.0
      },
      "27": {
        "x": 36.0,
        "y": 49.0
      },
      "28": {
        "x": 58.0,
        "y": 34.0
      },
      "29": {
        "x": 4.0,
        "y": 19.0
      },
      "30": {
        "x": 0.0,
        "y": 28.0
      },
      "31": {
        "x": 86.0,
        "y": 21.0
      },
      "32": {
        "x": 98.0,
        "y": 0.0
      },
      "33": {
        "x": 8.0,
        "y": 5.0
      },
      "34": {
        "x": 65.0,
        "y": 45.0
      },
      "35": {
        "x": 59.0,
        "y": 6.0
      },
      "36": {
        "x": 15.0,
        "y": 14.0
      },
      "37": {
        "x": 22.0,
        "y": 41.0
      },
      "38": {
        "x": 92.0,
        "y": 16.0
      },
      "39": {
        "x": 1.0,
        "y": 36.0
      },
      "40": {
        "x": 88.0,
        "y": 38.0
      },
      "41": {
        "x": 41.0,
        "y": 28.0
      },
      "42": {
        "x": 85.0,
        "y": 11.0
      },
      "43": {
        "x": 79.0,
        "y": 12.0
      },
      "44": {
        "x": 59.0,
        "y": 13.0
      },
      "45": {
        "x": 17.0,
        "y": 40.0
      },
      "46": {
        "x": 74.0,
        "y": 29.0
      },
      "47": {
        "x": 53.0,
        "y": 45.0
      },
      "48": {
        "x": 1.0,
        "y": 42.0
      },
      "49": {
        "x": 36.0,
        "y": 13.0
      },
      "50": {
        "x": 0.0,
        "y": 0.0
      }
    },
    "facilities": {
      "1000": {
        "x": 52.509,
        "y": 43.828
      },
      "1001": {
        "x": 87.783,
        "y": 9.624
      },
      "1002": {
        "x": -4.668,
        "y": 34.442
      },
      "1003": {
        "x": 88.581,
        "y": 27.434
      },
      "1004": {
        "x": 50.758,
        "y": 45.916
      },
      "1005": {
        "x": 14.662,
        "y": 20.617
      },
      "1006": {
        "x": 2.376,
        "y": 4.192
      },
      "1007": {
        "x": 83.796,
        "y": 28.43
      },
      "1008": {
        "x": 75.752,
        "y": 25.129
      },
      "1009": {
        "x": 56.846,
        "y": 37.718
      },
      "1010": {
        "x": 94.851,
        "y": 18.199
      },
      "1011": {
        "x": 69.418,
        "y": 36.654
      },
      "1012": {
        "x": 5.43,
        "y": 40.224
      },
      "1013": {
        "x": 55.729,
        "y": 30.442
      },
      "1014": {
        "x": 26.601,
        "y": 29.406
      },
      "1015": {
        "x": 18.067,
        "y": 42.752
      },
      "1016": {
        "x": 81.65,
        "y": 7.924
      },
      "1017": {
        "x": 1.106,
        "y": 43.78
      },
      "1018": {
        "x": 64.691,
        "y": 23.855
      },
      "1019": {
        "x": 59.948,
        "y": 42.286
      }
    }
  },
  "time_windows": {
    "e": {
      "1": 345.0,
      "2": 268.0,
      "3": 247.0,
      "4": 393.0,
      "5": 254.0,
      "6": 184.0,
      "7": 434.0,
      "8": 46.0,
      "9": 298.0,
      "10": 148.0,
      "11": 409.0,
      "12": 73.0,
      "13": 157.0,
      "14": 63.0,
      "15": 282.0,
      "16": 274.0,
      "17": 152.0,
      "18": 222.0,
      "19": 276.0,
      "20": 29.0,
      "21": 416.0,
      "22": 332.0,
      "23": 190.0,
      "24": 59.0,
      "25": 434.0,
      "26": 239.0,
      "27": 178.0,
      "28": 473.0,
      "29": 477.0,
      "30": 422.0,
      "31": 85.0,
      "32": 454.0,
      "33": 0.0,
      "34": 286.0,
      "35": 323.0,
      "36": 435.0,
      "37": 129.0,
      "38": 420.0,
      "39": 315.0,
      "40": 434.0,
      "41": 295.0,
      "42": 20.0,
      "43": 37.0,
      "44": 417.0,
      "45": 117.0,
      "46": 432.0,
      "47": 60.0,
      "48": 288.0,
      "49": 100.0,
      "50": 77.0
    },
    "l": {
      "1": 465.0,
      "2": 388.0,
      "3": 367.0,
      "4": 513.0,
      "5": 374.0,
      "6": 304.0,
      "7": 554.0,
      "8": 166.0,
      "9": 418.0,
      "10": 268.0,
      "11": 529.0,
      "12": 193.0,
      "13": 277.0,
      "14": 183.0,
      "15": 402.0,
      "16": 394.0,
      "17": 272.0,
      "18": 342.0,
      "19": 396.0,
      "20": 149.0,
      "21": 536.0,
      "22": 452.0,
      "23": 310.0,
      "24": 179.0,
      "25": 554.0,
      "26": 359.0,
      "27": 298.0,
      "28": 593.0,
      "29": 597.0,
      "30": 542.0,
      "31": 205.0,
      "32": 574.0,
      "33": 120.0,
      "34": 406.0,
      "35": 443.0,
      "36": 555.0,
      "37": 249.0,
      "38": 540.0,
      "39": 435.0,
      "40": 554.0,
      "41": 415.0,
      "42": 140.0,
      "43": 157.0,
      "44": 537.0,
      "45": 237.0,
      "46": 552.0,
      "47": 180.0,
      "48": 408.0,
      "49": 220.0,
      "50": 197.0
    }
  },
  "travel_time": {
    "matrix": {
      "1,1": 0.0,
      "1,2": 13.892,
      "1,3": 14.765,
      "1,4": 33.242,
      "1,5": 23.409,
      "1,6": 38.419,
      "1,7": 18.601,
      "1,8": 53.535,
      "1,9": 51.245,
      "1,10": 32.65,
      "1,11": 37.054,
      "1,12": 41.11,
      "1,13": 51.01,
      "1,14": 26.926,
      "1,15": 44.944,
      "1,16": 47.265,
      "1,17": 20.616,
      "1,18": 52.802,
      "1,19": 30.871,
      "1,20": 40.0,
      "1,21": 41.725,
      "1,22": 31.048,
      "1,23": 27.659,
      "1,24": 49.649,
      "1,25": 14.866,
      "1,26": 31.016,
      "1,27": 20.248,
      "1,28": 11.18,
      "1,29": 44.922,
      "1,30": 47.17,
      "1,31": 40.522,
      "1,32": 60.208,
      "1,33": 47.434,
      "1,34": 22.204,
      "1,35": 28.636,
      "1,36": 36.715,
      "1,37": 26.571,
      "1,38": 47.76,
      "1,39": 46.174,
      "1,40": 41.437,
      "1,41": 7.211,
      "1,42": 43.417,
      "1,43": 37.736,
      "1,44": 22.472,
      "1,45": 31.048,
      "1,46": 27.166,
      "1,47": 14.318,
      "1,48": 47.074,
      "1,49": 21.954,
      "1,50": 56.859,
      "1,1000": 13.048,
      "1,1001": 46.518,
      "1,1002": 51.726,
      "1,1003": 41.831,
      "1,1004": 14.414,
      "1,1005": 34.283,
      "1,1006": 52.579,
      "1,1007": 36.969,
      "1,1008": 29.562,
      "1,1009": 11.386,
      "1,1010": 49.801,
      "1,1011": 22.896,
      "1,1012": 42.376,
      "1,1013": 8.867,
      "1,1014": 20.563,
      "1,1015": 30.866,
      "1,1016": 42.193,
      "1,1017": 47.382,
      "1,1018": 19.476,
      "1,1019": 16.536,
      "2,1": 13.892,
      "2,2": 0.0,
      "2,3": 27.586,
      "2,4": 24.0,
      "2,5": 25.0,
      "2,6": 51.624,
      "2,7": 8.062,
      "2,8": 55.902,
      "2,9": 42.107,
      "2,10": 34.828,
      "2,11": 46.174,
      "2,12": 47.424,
      "2,13": 45.354,
      "2,14": 40.719,
      "2,15": 56.436,
      "2,16": 56.613,
      "2,17": 9.055,
      "2,18": 56.223,
      "2,19": 32.65,
      "2,20": 53.075,
      "2,21": 47.011,
      "2,22": 23.345,
      "2,23": 38.471,
      "2,24": 60.828,
      "2,25": 2.828,
      "2,26": 31.828,
      "2,27": 18.682,
      "2,28": 10.77,
      "2,29": 55.902,
      "2,30": 56.321,
      "2,31": 39.408,
      "2,32": 62.225,
      "2,33": 60.308,
      "2,34": 11.045,
      "2,35": 38.328,
      "2,36": 49.204,
      "2,37": 32.14,
      "2,38": 47.202,
      "2,39": 53.6,
      "2,40": 34.525,
      "2,41": 20.616,
      "2,42": 45.277,
      "2,43": 40.608,
      "2,44": 31.401,
      "2,45": 37.216,
      "2,46": 25.0,
      "2,47": 1.414,
      "2,48": 53.038,
      "2,49": 35.847,
      "2,50": 69.656,
      "2,1000": 1.501,
      "2,1001": 48.198,
      "2,1002": 59.441,
      "2,1003": 38.344,
      "2,1004": 3.766,
      "2,1005": 45.763,
      "2,1006": 65.19,
      "2,1007": 33.619,
      "2,1008": 28.797,
      "2,1009": 6.897,
      "2,1010": 48.317,
      "2,1011": 17.079,
      "2,1012": 48.717,
      "2,1013": 13.668,
      "2,1014": 31.043,
      "2,1015": 35.955,
      "2,1016": 45.453,
      "2,1017": 52.894,
      "2,1018": 22.806,
      "2,1019": 6.19,
      "3,1": 14.765,
      "3,2": 27.586,
      "3,3": 0.0,
      "3,4": 47.927,
      "3,5": 35.014,
      "3,6": 24.042,
      "3,7": 33.287,
      "3,8": 62.032,
      "3,9": 65.788,
      "3,10": 42.755,
      "3,11": 24.515,
      "3,12": 46.648,
      "3,13": 64.498,
      "3,14": 18.248,
      "3,15": 30.364,
      "3,16": 34.059,
      "3,17": 35.228,
      "3,18": 60.415,
      "3,19": 41.437,
      "3,20": 25.495,
      "3,21": 48.301,
      "3,22": 45.541,
      "3,23": 14.036,
      "3,24": 35.171,
      "3,25": 27.659,
      "3,26": 42.19,
      "3,27": 24.083,
      "3,28": 25.632,
      "3,29": 30.594,
      "3,30": 34.132,
      "3,31": 52.154,
      "3,32": 68.71,
      "3,33": 32.802,
      "3,34": 36.892,
      "3,35": 31.401,
      "3,36": 21.954,
      "3,37": 20.0,
      "3,38": 58.694,
      "3,39": 34.785,
      "3,40": 55.543,
      "3,41": 7.616,
      "3,42": 52.887,
      "3,43": 46.84,
      "3,44": 27.731,
      "3,45": 22.672,
      "3,46": 40.2,
      "3,47": 27.586,
      "3,48": 37.121,
      "3,49": 12.166,
      "3,50": 42.202,
      "3,1000": 26.402,
      "3,1001": 55.938,
      "3,1002": 39.804,
      "3,1003": 54.635,
      "3,1004": 26.801,
      "3,1005": 19.828,
      "3,1006": 37.856,
      "3,1007": 49.914,
      "3,1008": 41.752,
      "3,1009": 26.147,
      "3,1010": 61.23,
      "3,1011": 37.286,
      "3,1012": 32.373,
      "3,1013": 22.4,
      "3,1014": 8.612,
      "3,1015": 23.854,
      "3,1016": 50.617,
      "3,1017": 37.877,
      "3,1018": 30.712,
      "3,1019": 31.179,
      "4,1": 33.242,
      "4,2": 24.0,
      "4,3": 47.927,
      "4,4": 0.0,
      "4,5": 21.932,
      "4,6": 70.831,
      "4,7": 16.031,
      "4,8": 43.324,
      "4,9": 18.248,
      "4,10": 27.074,
      "4,11": 69.426,
      "4,12": 43.186,
      "4,13": 22.825,
      "4,14": 55.227,
      "4,15": 78.186,
      "4,16": 79.831,
      "4,17": 15.033,
      "4,18": 45.354,
      "4,19": 25.179,
      "4,20": 72.56,
      "4,21": 41.012,
      "4,22": 4.123,
      "4,23": 60.729,
      "4,24": 82.873,
      "4,25": 26.077,
      "4,26": 23.087,
      "4,27": 42.297,
      "4,28": 22.361,
      "4,29": 78.109,
      "4,30": 79.624,
      "4,31": 24.352,
      "4,32": 48.332,
      "4,33": 80.131,
      "4,34": 13.038,
      "4,35": 42.485,
      "4,36": 69.778,
      "4,37": 56.08,
      "4,38": 31.305,
      "4,39": 77.414,
      "4,40": 11.662,
      "4,41": 40.311,
      "4,42": 33.734,
      "4,43": 32.016,
      "4,44": 36.359,
      "4,45": 61.131,
      "4,46": 15.524,
      "4,47": 25.02,
      "4,48": 77.026,
      "4,49": 52.202,
      "4,50": 89.554,
      "4,1000": 25.492,
      "4,1001": 35.741,
      "4,1002": 83.219,
      "4,1003": 19.657,
      "4,1004": 27.309,
      "4,1005": 67.516,
      "4,1006": 85.461,
      "4,1007": 16.614,
      "4,1008": 19.004,
      "4,1009": 22.067,
      "4,1010": 30.816,
      "4,1011": 11.297,
      "4,1012": 72.668,
      "4,1013": 26.073,
      "4,1014": 53.431,
      "4,1015": 59.946,
      "4,1016": 36.26,
      "4,1017": 76.894,
      "4,1018": 24.144,
      "4,1019": 18.133,
      "5,1": 23.409,
      "5,2": 25.0,
      "5,3": 35.014,
      "5,4": 21.932,
      "5,5": 0.0,
      "5,6": 54.406,
      "5,7": 20.248,
      "5,8": 31.145,
      "5,9": 35.468,
      "5,10": 9.899,
      "5,11": 59.304,
      "5,12": 23.537,
      "5,13": 30.364,
      "5,14": 36.235,
      "5,15": 64.498,
      "5,16": 69.065,
      "5,17": 21.84,
      "5,18": 31.241,
      "5,19": 7.81,
      "5,20": 56.321,
      "5,21": 22.472,
      "5,22": 17.889,
      "5,23": 49.041,
      "5,24": 69.462,
      "5,25": 27.803,
      "5,26": 7.616,
      "5,27": 41.4,
      "5,28": 14.866,
      "5,29": 65.192,
      "5,30": 69.116,
      "5,31": 17.263,
      "5,32": 37.643,
      "5,33": 63.891,
      "5,34": 21.378,
      "5,35": 20.591,
      "5,36": 54.918,
      "5,37": 49.98,
      "5,38": 24.352,
      "5,39": 69.051,
      "5,40": 23.601,
      "5,41": 28.284,
      "5,42": 20.616,
      "5,43": 15.62,
      "5,44": 14.866,
      "5,45": 54.406,
      "5,46": 7.071,
      "5,47": 26.401,
      "5,48": 70.342,
      "5,49": 34.785,
      "5,50": 73.055,
      "5,1000": 25.79,
      "5,1001": 23.653,
      "5,1002": 74.404,
      "5,1003": 19.88,
      "5,1004": 28.515,
      "5,1005": 54.443,
      "5,1006": 69.506,
      "5,1007": 15.445,
      "5,1008": 6.846,
      "5,1009": 18.328,
      "5,1010": 26.494,
      "5,1011": 12.661,
      "5,1012": 65.608,
      "5,1013": 14.752,
      "5,1014": 42.742,
      "5,1015": 54.275,
      "5,1016": 20.456,
      "5,1017": 70.717,
      "5,1018": 4.311,
      "5,1019": 20.404,
      "6,1": 38.419,
      "6,2": 51.624,
      "6,3": 24.042,
      "6,4": 70.831,
      "6,5": 54.406,
      "6,6": 0.0,
      "6,7": 57.009,
      "6,8": 75.166,
      "6,9": 88.102,
      "6,10": 59.682,
      "6,11": 23.087,
      "6,12": 57.428,
      "6,13": 84.77,
      "6,14": 20.025,
      "6,15": 14.422,
      "6,16": 25.495,
      "6,17": 59.034,
      "6,18": 72.443,
      "6,19": 59.034,
      "6,20": 2.0,
      "6,21": 60.208,
      "6,22": 68.0,
      "6,23": 18.248,
      "6,24": 18.788,
      "6,25": 51.662,
      "6,26": 60.415,
      "6,27": 45.188,
      "6,28": 48.549,
      "6,29": 17.029,
      "6,30": 26.249,
      "6,31": 70.214,
      "6,32": 81.394,
      "6,33": 9.487,
      "6,34": 60.605,
      "6,35": 42.048,
      "6,36": 6.325,
      "6,37": 33.377,
      "6,38": 75.425,
      "6,39": 32.249,
      "6,40": 77.078,
      "6,41": 31.241,
      "6,42": 68.066,
      "6,43": 62.129,
      "6,44": 42.297,
      "6,45": 32.0,
      "6,46": 60.745,
      "6,47": 51.624,
      "6,48": 37.577,
      "6,49": 19.647,
      "6,50": 18.788,
      "6,1000": 50.443,
      "6,1001": 70.802,
      "6,1002": 34.186,
      "6,1003": 74.172,
      "6,1004": 50.766,
      "6,1005": 12.832,
      "6,1006": 15.112,
      "6,1007": 69.85,
      "6,1008": 61.198,
      "6,1009": 49.708,
      "6,1010": 78.516,
      "6,1011": 59.739,
      "6,1012": 34.238,
      "6,1013": 44.761,
      "6,1014": 23.461,
      "6,1015": 34.768,
      "6,1016": 64.65,
      "6,1017": 39.151,
      "6,1018": 50.257,
      "6,1019": 54.955,
      "7,1": 18.601,
      "7,2": 8.062,
      "7,3": 33.287,
      "7,4": 16.031,
      "7,5": 20.248,
      "7,6": 57.009,
      "7,7": 0.0,
      "7,8": 50.0,
      "7,9": 34.234,
      "7,10": 29.53,
      "7,11": 53.6,
      "7,12": 43.681,
      "7,13": 37.363,
      "7,14": 43.829,
      "7,15": 63.071,
      "7,16": 64.031,
      "7,17": 2.236,
      "7,18": 50.774,
      "7,19": 27.295,
      "7,20": 58.6,
      "7,21": 42.72,
      "7,22": 15.297,
      "7,23": 45.31,
      "7,24": 67.624,
      "7,25": 10.44,
      "7,26": 26.077,
      "7,27": 26.683,
      "7,28": 9.849,
      "7,29": 62.769,
      "7,30": 63.789,
      "7,31": 32.558,
      "7,32": 56.08,
      "7,33": 66.03,
      "7,34": 3.606,
      "7,35": 37.121,
      "7,36": 55.227,
      "7,37": 40.05,
      "7,38": 40.361,
      "7,39": 61.4,
      "7,40": 26.476,
      "7,41": 25.807,
      "7,42": 39.408,
      "7,43": 35.355,
      "7,44": 30.15,
      "7,45": 45.1,
      "7,46": 18.439,
      "7,47": 9.22,
      "7,48": 61.008,
      "7,49": 39.699,
      "7,50": 75.452,
      "7,1000": 9.527,
      "7,1001": 42.175,
      "7,1002": 67.215,
      "7,1003": 30.803,
      "7,1004": 11.614,
      "7,1005": 52.363,
      "7,1006": 71.141,
      "7,1007": 26.217,
      "7,1008": 22.55,
      "7,1009": 7.38,
      "7,1010": 41.162,
      "7,1011": 9.762,
      "7,1012": 56.638,
      "7,1013": 14.037,
      "7,1014": 37.919,
      "7,1015": 43.934,
      "7,1016": 40.205,
      "7,1017": 60.899,
      "7,1018": 19.333,
      "7,1019": 2.173,
      "8,1": 53.535,
      "8,2": 55.902,
      "8,3": 62.032,
      "8,4": 43.324,
      "8,5": 31.145,
      "8,6": 75.166,
      "8,7": 50.0,
      "8,8": 0.0,
      "8,9": 44.181,
      "8,10": 21.26,
      "8,11": 86.331,
      "8,12": 18.111,
      "8,13": 30.594,
      "8,14": 55.145,
      "8,15": 87.966,
      "8,16": 95.079,
      "8,17": 51.039,
      "8,18": 4.243,
      "8,19": 23.345,
      "8,20": 77.162,
      "8,21": 15.0,
      "8,22": 39.925,
      "8,23": 75.584,
      "8,24": 92.914,
      "8,25": 58.728,
      "8,26": 24.083,
      "8,27": 72.471,
      "8,28": 46.011,
      "8,29": 89.443,
      "8,30": 95.336,
      "8,31": 18.974,
      "8,32": 6.708,
      "8,33": 84.024,
      "8,34": 49.93,
      "8,35": 33.136,
      "8,36": 77.782,
      "8,37": 79.649,
      "8,38": 13.0,
      "8,39": 96.799,
      "8,40": 35.228,
      "8,41": 56.798,
      "8,42": 10.63,
      "8,43": 15.811,
      "8,44": 34.482,
      "8,45": 83.63,
      "8,46": 31.623,
      "8,47": 57.315,
      "8,48": 99.005,
      "8,49": 56.886,
      "8,50": 92.049,
      "8,1000": 56.802,
      "8,1001": 7.852,
      "8,1002": 101.653,
      "8,1003": 24.672,
      "8,1004": 59.52,
      "8,1005": 79.319,
      "8,1006": 89.632,
      "8,1007": 26.721,
      "8,1008": 27.453,
      "8,1009": 49.408,
      "8,1010": 15.464,
      "8,1011": 40.528,
      "8,1012": 94.234,
      "8,1013": 45.482,
      "8,1014": 70.529,
      "8,1015": 83.942,
      "8,1016": 11.462,
      "8,1017": 99.623,
      "8,1018": 34.361,
      "8,1019": 50.702,
      "9,1": 51.245,
      "9,2": 42.107,
      "9,3": 65.788,
      "9,4": 18.248,
      "9,5": 35.468,
      "9,6": 88.102,
      "9,7": 34.234,
      "9,8": 44.181,
      "9,9": 0.0,
      "9,10": 36.056,
      "9,11": 87.664,
      "9,12": 50.99,
      "9,13": 14.142,
      "9,14": 71.281,
      "9,15": 96.135,
      "9,16": 98.061,
      "9,17": 33.061,
      "9,18": 47.518,
      "9,19": 35.0,
      "9,20": 89.9,
      "9,21": 47.927,
      "9,22": 20.248,
      "9,23": 78.848,
      "9,24": 100.881,
      "9,25": 44.011,
      "9,26": 32.802,
      "9,27": 60.033,
      "9,28": 40.162,
      "9,29": 96.167,
      "9,30": 97.862,
      "9,31": 27.857,
      "9,32": 47.043,
      "9,33": 97.509,
      "9,34": 31.064,
      "9,35": 55.227,
      "9,36": 87.464,
      "9,37": 74.243,
      "9,38": 31.257,
      "9,39": 95.635,
      "9,40": 12.042,
      "9,41": 58.189,
      "9,42": 37.643,
      "9,43": 38.91,
      "9,44": 50.249,
      "9,45": 79.31,
      "9,46": 28.425,
      "9,47": 43.046,
      "9,48": 95.131,
      "9,49": 68.964,
      "9,50": 106.888,
      "9,1000": 43.607,
      "9,1001": 38.269,
      "9,1002": 101.448,
      "9,1003": 20.925,
      "9,1004": 45.255,
      "9,1005": 85.51,
      "9,1006": 102.946,
      "9,1007": 22.221,
      "9,1008": 29.805,
      "9,1009": 40.239,
      "9,1010": 28.824,
      "9,1011": 28.524,
      "9,1012": 90.823,
      "9,1013": 43.542,
      "9,1014": 71.594,
      "9,1015": 78.049,
      "9,1016": 41.628,
      "9,1017": 94.949,
      "9,1018": 38.935,
      "9,1019": 36.359,
      "10,1": 32.65,
      "10,2": 34.828,
      "10,3": 42.755,
      "10,4": 27.074,
      "10,5": 9.899,
      "10,6": 59.682,
      "10,7": 29.53,
      "10,8": 21.26,
      "10,9": 36.056,
      "10,10": 0.0,
      "10,11": 67.268,
      "10,12": 16.125,
      "10,13": 27.203,
      "10,14": 40.262,
      "10,15": 71.007,
      "10,16": 76.655,
      "10,17": 30.871,
      "10,18": 21.401,
      "10,19": 2.236,
      "10,20": 61.66,
      "10,21": 14.036,
      "10,22": 23.022,
      "10,23": 56.719,
      "10,24": 76.007,
      "10,25": 37.643,
      "10,26": 4.0,
      "10,27": 51.225,
      "10,28": 24.759,
      "10,29": 72.028,
      "10,30": 76.792,
      "10,31": 10.77,
      "10,32": 27.803,
      "10,33": 69.051,
      "10,34": 30.083,
      "10,35": 20.248,
      "10,36": 61.074,
      "10,37": 59.093,
      "10,38": 16.031,
      "10,39": 77.369,
      "10,40": 24.187,
      "10,41": 36.688,
      "10,42": 10.817,
      "10,43": 5.831,
      "10,44": 17.464,
      "10,45": 63.325,
      "10,46": 12.166,
      "10,47": 36.235,
      "10,48": 79.057,
      "10,49": 40.2,
      "10,50": 77.878,
      "10,1000": 35.659,
      "10,1001": 13.901,
      "10,1002": 82.532,
      "10,1003": 16.345,
      "10,1004": 38.384,
      "10,1005": 61.445,
      "10,1006": 74.73,
      "10,1007": 13.836,
      "10,1008": 8.133,
      "10,1009": 28.215,
      "10,1010": 18.889,
      "10,1011": 20.727,
      "10,1012": 74.293,
      "10,1013": 24.323,
      "10,1014": 50.933,
      "10,1015": 63.399,
      "10,1016": 10.691,
      "10,1017": 79.538,
      "10,1018": 13.224,
      "10,1019": 29.951,
      "11,1": 37.054,
      "11,2": 46.174,
      "11,3": 24.515,
      "11,4": 69.426,
      "11,5": 59.304,
      "11,6": 23.087,
      "11,7": 53.6,
      "11,8": 86.331,
      "11,9": 87.664,
      "11,10": 67.268,
      "11,11": 0.0,
      "11,12": 70.264,
      "11,13": 88.051,
      "11,14": 35.468,
      "11,15": 14.866,
      "11,16": 10.44,
      "11,17": 55.082,
      "11,18": 84.504,
      "11,19": 65.924,
      "11,20": 22.561,
      "11,21": 72.236,
      "11,22": 67.742,
      "11,23": 10.77,
      "11,24": 17.205,
      "11,25": 44.944,
      "11,26": 66.611,
      "11,27": 32.202,
      "11,28": 48.166,
      "11,29": 12.53,
      "11,30": 10.198,
      "11,31": 76.531,
      "11,32": 92.973,
      "11,33": 25.08,
      "11,34": 57.009,
      "11,35": 54.562,
      "11,36": 16.763,
      "11,37": 16.279,
      "11,38": 83.187,
      "11,39": 10.817,
      "11,40": 78.409,
      "11,41": 31.064,
      "11,42": 77.369,
      "11,43": 71.309,
      "11,44": 51.865,
      "11,45": 12.207,
      "11,46": 64.008,
      "11,47": 45.541,
      "11,48": 15.0,
      "11,49": 31.064,
      "11,50": 31.623,
      "11,1000": 44.702,
      "11,1001": 80.408,
      "11,1002": 15.326,
      "11,1003": 78.623,
      "11,1004": 43.755,
      "11,1005": 10.477,
      "11,1006": 26.911,
      "11,1007": 73.813,
      "11,1008": 65.932,
      "11,1009": 47.478,
      "11,1010": 85.668,
      "11,1011": 59.789,
      "11,1012": 11.199,
      "11,1013": 45.731,
      "11,1014": 16.612,
      "11,1015": 15.089,
      "11,1016": 74.974,
      "11,1017": 16.401,
      "11,1018": 55.035,
      "11,1019": 51.437,
      "12,1": 41.11,
      "12,2": 47.424,
      "12,3": 46.648,
      "12,4": 43.186,
      "12,5": 23.537,
      "12,6": 57.428,
      "12,7": 43.681,
      "12,8": 18.111,
      "12,9": 50.99,
      "12,10": 16.125,
      "12,11": 70.264,
      "12,12": 0.0,
      "12,13": 40.0,
      "12,14": 37.483,
      "12,15": 70.612,
      "12,16": 78.435,
      "12,17": 45.354,
      "12,18": 15.033,
      "12,19": 18.028,
      "12,20": 59.414,
      "12,21": 3.606,
      "12,22": 39.115,
      "12,23": 59.506,
      "12,24": 75.505,
      "12,25": 50.09,
      "12,26": 20.1,
      "12,27": 61.221,
      "12,28": 36.674,
      "12,29": 72.277,
      "12,30": 78.772,
      "12,31": 23.324,
      "12,32": 24.021,
      "12,33": 66.121,
      "12,34": 44.911,
      "12,35": 15.811,
      "12,36": 60.415,
      "12,37": 65.605,
      "12,38": 23.431,
      "12,39": 80.957,
      "12,40": 39.56,
      "12,41": 42.638,
      "12,42": 14.866,
      "12,43": 12.083,
      "12,44": 19.209,
      "12,45": 69.065,
      "12,46": 28.0,
      "12,47": 48.754,
      "12,48": 83.726,
      "12,49": 39.85,
      "12,50": 74.007,
      "12,1000": 47.918,
      "12,1001": 16.259,
      "12,1002": 85.481,
      "12,1003": 30.189,
      "12,1004": 50.573,
      "12,1005": 62.497,
      "12,1006": 71.695,
      "12,1007": 29.127,
      "12,1008": 24.193,
      "12,1009": 40.527,
      "12,1010": 27.029,
      "12,1011": 35.947,
      "12,1012": 78.996,
      "12,1013": 34.651,
      "12,1014": 55.259,
      "12,1015": 69.798,
      "12,1016": 10.318,
      "12,1017": 84.52,
      "12,1018": 24.678,
      "12,1019": 43.612,
      "13,1": 51.01,
      "13,2": 45.354,
      "13,3": 64.498,
      "13,4": 22.825,
      "13,5": 30.364,
      "13,6": 84.77,
      "13,7": 37.363,
      "13,8": 30.594,
      "13,9": 14.142,
      "13,10": 27.203,
      "13,11": 88.051,
      "13,12": 40.0,
      "13,13": 0.0,
      "13,14": 66.31,
      "13,15": 94.541,
      "13,16": 98.184,
      "13,17": 37.0,
      "13,18": 34.205,
      "13,19": 26.926,
      "13,20": 86.683,
      "13,21": 36.62,
      "13,22": 22.136,
      "13,23": 78.313,
      "13,24": 99.464,
      "13,25": 47.802,
      "13,26": 25.06,
      "13,27": 64.031,
      "13,28": 40.012,
      "13,29": 95.037,
      "13,30": 98.127,
      "13,31": 16.971,
      "13,32": 33.0,
      "13,33": 94.255,
      "13,34": 35.114,
      "13,35": 47.434,
      "13,36": 85.147,
      "13,37": 76.42,
      "13,38": 18.028,
      "13,39": 97.046,
      "13,40": 11.18,
      "13,41": 57.219,
      "13,42": 25.554,
      "13,43": 28.32,
      "13,44": 43.829,
      "13,45": 81.302,
      "13,46": 24.331,
      "13,47": 46.573,
      "13,48": 97.417,
      "13,49": 65.146,
      "13,50": 103.407,
      "13,1000": 46.762,
      "13,1001": 25.511,
      "13,1002": 102.678,
      "13,1003": 10.941,
      "13,1004": 48.976,
      "13,1005": 84.253,
      "13,1006": 99.869,
      "13,1007": 14.921,
      "13,1008": 23.599,
      "13,1009": 41.424,
      "13,1010": 15.132,
      "13,1011": 28.815,
      "13,1012": 92.851,
      "13,1013": 42.348,
      "13,1014": 71.489,
      "13,1015": 80.526,
      "13,1016": 29.935,
      "13,1017": 97.492,
      "13,1018": 34.542,
      "13,1019": 39.169,
      "14,1": 26.926,
      "14,2": 40.719,
      "14,3": 18.248,
      "14,4": 55.227,
      "14,5": 36.235,
      "14,6": 20.025,
      "14,7": 43.829,
      "14,8": 55.145,
      "14,9": 71.281,
      "14,10": 40.262,
      "14,11": 35.468,
      "14,12": 37.483,
      "14,13": 66.31,
      "14,14": 0.0,
      "14,15": 33.242,
      "14,16": 42.059,
      "14,17": 46.043,
      "14,18": 52.469,
      "14,19": 39.85,
      "14,20": 22.023,
      "14,21": 40.2,
      "14,22": 51.856,
      "14,23": 25.495,
      "14,24": 38.079,
      "14,25": 41.785,
      "14,26": 41.437,
      "14,27": 42.012,
      "14,28": 34.205,
      "14,29": 35.114,
      "14,30": 42.544,
      "14,31": 50.961,
      "14,32": 61.4,
      "14,33": 29.069,
      "14,34": 47.202,
      "14,35": 22.023,
      "14,36": 23.087,
      "14,37": 37.162,
      "14,38": 55.731,
      "14,39": 46.228,
      "14,40": 59.682,
      "14,41": 21.378,
      "14,42": 48.166,
      "14,43": 42.297,
      "14,44": 22.804,
      "14,45": 38.588,
      "14,46": 43.046,
      "14,47": 41.231,
      "14,48": 50.21,
      "14,49": 6.083,
      "14,50": 37.656,
      "14,1000": 39.96,
      "14,1001": 50.851,
      "14,1002": 49.893,
      "14,1003": 55.481,
      "14,1004": 41.276,
      "14,1005": 26.161,
      "14,1006": 34.738,
      "14,1007": 51.47,
      "14,1008": 42.783,
      "14,1009": 36.571,
      "14,1010": 58.925,
      "14,1011": 43.935,
      "14,1012": 45.831,
      "14,1013": 30.005,
      "14,1014": 24.702,
      "14,1015": 40.456,
      "14,1016": 44.66,
      "14,1017": 51.392,
      "14,1018": 32.417,
      "14,1019": 42.092,
      "15,1": 44.944,
      "15,2": 56.436,
      "15,3": 30.364,
      "15,4": 78.186,
      "15,5": 64.498,
      "15,6": 14.422,
      "15,7": 63.071,
      "15,8": 87.966,
      "15,9": 96.135,
      "15,10": 71.007,
      "15,11": 14.866,
      "15,12": 70.612,
      "15,13": 94.541,
      "15,14": 33.242,
      "15,15": 0.0,
      "15,16": 12.083,
      "15,17": 64.846,
      "15,18": 85.51,
      "15,19": 70.064,
      "15,20": 12.806,
      "15,21": 73.164,
      "15,22": 75.895,
      "15,23": 18.028,
      "15,24": 5.0,
      "15,25": 55.758,
      "15,26": 71.176,
      "15,27": 45.277,
      "15,28": 55.973,
      "15,29": 3.162,
      "15,30": 13.0,
      "15,31": 81.154,
      "15,32": 94.366,
      "15,33": 11.402,
      "15,34": 66.641,
      "15,35": 54.918,
      "15,36": 10.198,
      "15,37": 30.232,
      "15,38": 87.0,
      "15,39": 20.396,
      "15,40": 85.866,
      "15,41": 37.947,
      "15,42": 80.156,
      "15,43": 74.108,
      "15,44": 54.083,
      "15,45": 26.833,
      "15,46": 70.214,
      "15,47": 56.08,
      "15,48": 26.306,
      "15,49": 31.145,
      "15,50": 16.763,
      "15,1000": 55.059,
      "15,1001": 83.028,
      "15,1002": 20.823,
      "15,1003": 84.359,
      "15,1004": 54.67,
      "15,1005": 10.708,
      "15,1006": 12.096,
      "15,1007": 79.77,
      "15,1008": 71.339,
      "15,1009": 56.211,
      "15,1010": 89.878,
      "15,1011": 67.648,
      "15,1012": 24.228,
      "15,1013": 52.745,
      "15,1014": 25.423,
      "15,1015": 29.773,
      "15,1016": 77.074,
      "15,1017": 28.052,
      "15,1018": 60.206,
      "15,1019": 60.912,
      "16,1": 47.265,
      "16,2": 56.613,
      "16,3": 34.059,
      "16,4": 79.831,
      "16,5": 69.065,
      "16,6": 25.495,
      "16,7": 64.031,
      "16,8": 95.079,
      "16,9": 98.061,
      "16,10": 76.655,
      "16,11": 10.44,
      "16,12": 78.435,
      "16,13": 98.184,
      "16,14": 42.059,
      "16,15": 12.083,
      "16,16": 0.0,
      "16,17": 65.521,
      "16,18": 93.005,
      "16,19": 75.425,
      "16,20": 24.207,
      "16,21": 80.654,
      "16,22": 78.09,
      "16,23": 20.025,
      "16,24": 11.0,
      "16,25": 55.362,
      "16,26": 76.236,
      "16,27": 42.19,
      "16,28": 58.421,
      "16,29": 8.944,
      "16,30": 1.0,
      "16,31": 86.209,
      "16,32": 101.651,
      "16,33": 23.409,
      "16,34": 67.446,
      "16,35": 62.626,
      "16,36": 19.849,
      "16,37": 26.077,
      "16,38": 92.655,
      "16,39": 9.055,
      "16,40": 88.685,
      "16,41": 41.012,
      "16,42": 86.493,
      "16,43": 80.411,
      "16,44": 60.638,
      "16,45": 21.401,
      "16,46": 74.027,
      "16,47": 55.973,
      "16,48": 15.033,
      "16,49": 38.626,
      "16,50": 27.0,
      "16,1000": 55.14,
      "16,1001": 89.486,
      "16,1002": 8.785,
      "16,1003": 88.582,
      "16,1004": 54.168,
      "16,1005": 15.991,
      "16,1006": 22.931,
      "16,1007": 83.808,
      "16,1008": 75.775,
      "16,1009": 57.848,
      "16,1010": 95.258,
      "16,1011": 70.086,
      "16,1012": 14.295,
      "16,1013": 55.835,
      "16,1014": 26.71,
      "16,1015": 23.97,
      "16,1016": 83.849,
      "16,1017": 16.816,
      "16,1018": 64.767,
      "16,1019": 61.866,
      "17,1": 20.616,
      "17,2": 9.055,
      "17,3": 35.228,
      "17,4": 15.033,
      "17,5": 21.84,
      "17,6": 59.034,
      "17,7": 2.236,
      "17,8": 51.039,
      "17,9": 33.061,
      "17,10": 30.871,
      "17,11": 55.082,
      "17,12": 45.354,
      "17,13": 37.0,
      "17,14": 46.043,
      "17,15": 64.846,
      "17,16": 65.521,
      "17,17": 0.0,
      "17,18": 51.971,
      "17,19": 28.636,
      "17,20": 60.605,
      "17,21": 44.272,
      "17,22": 14.866,
      "17,23": 47.011,
      "17,24": 69.354,
      "17,25": 11.045,
      "17,26": 27.295,
      "17,27": 27.295,
      "17,28": 12.083,
      "17,29": 64.475,
      "17,30": 65.253,
      "17,31": 33.242,
      "17,32": 57.009,
      "17,33": 68.007,
      "17,34": 2.0,
      "17,35": 39.205,
      "17,36": 57.14,
      "17,37": 41.195,
      "17,38": 41.012,
      "17,39": 62.65,
      "17,40": 25.962,
      "17,41": 27.803,
      "17,42": 40.497,
      "17,43": 36.674,
      "17,44": 32.249,
      "17,45": 46.271,
      "17,46": 19.416,
      "17,47": 10.0,
      "17,48": 62.073,
      "17,49": 41.869,
      "17,50": 77.421,
      "17,1000": 10.556,
      "17,1001": 43.193,
      "17,1002": 68.487,
      "17,1003": 31.031,
      "17,1004": 12.276,
      "17,1005": 54.14,
      "17,1006": 73.079,
      "17,1007": 26.59,
      "17,1008": 23.611,
      "17,1009": 9.534,
      "17,1010": 41.627,
      "17,1011": 10.528,
      "17,1012": 57.768,
      "17,1013": 16.273,
      "17,1014": 39.599,
      "17,1015": 44.989,
      "17,1016": 41.502,
      "17,1017": 61.906,
      "17,1018": 21.213,
      "17,1019": 4.084,
      "18,1": 52.802,
      "18,2": 56.223,
      "18,3": 60.415,
      "18,4": 45.354,
      "18,5": 31.241,
      "18,6": 72.443,
      "18,7": 50.774,
      "18,8": 4.243,
      "18,9": 47.518,
      "18,10": 21.401,
      "18,11": 84.504,
      "18,12": 15.033,
      "18,13": 34.205,
      "18,14": 52.469,
      "18,15": 85.51,
      "18,16": 93.005,
      "18,17": 51.971,
      "18,18": 0.0,
      "18,19": 23.601,
      "18,20": 74.431,
      "18,21": 12.369,
      "18,22": 41.761,
      "18,23": 73.736,
      "18,24": 90.427,
      "18,25": 59.034,
      "18,26": 24.698,
      "18,27": 72.18,
      "18,28": 46.011,
      "18,29": 87.098,
      "18,30": 93.301,
      "18,31": 21.213,
      "18,32": 9.0,
      "18,33": 81.154,
      "18,34": 51.0,
      "18,35": 30.594,
      "18,36": 75.313,
      "18,37": 78.549,
      "18,38": 16.279,
      "18,39": 95.079,
      "18,40": 38.013,
      "18,41": 55.57,
      "18,42": 11.705,
      "18,43": 15.62,
      "18,44": 32.696,
      "18,45": 82.365,
      "18,46": 32.65,
      "18,47": 57.628,
      "18,48": 97.509,
      "18,49": 54.571,
      "18,50": 89.0,
      "18,1000": 57.031,
      "18,1001": 9.701,
      "18,1002": 99.8,
      "18,1003": 27.437,
      "18,1004": 59.756,
      "18,1005": 77.144,
      "18,1006": 86.725,
      "18,1007": 28.902,
      "18,1008": 28.407,
      "18,1009": 49.563,
      "18,1010": 19.116,
      "18,1011": 41.557,
      "18,1012": 92.747,
      "18,1013": 45.096,
      "18,1014": 68.981,
      "18,1015": 82.82,
      "18,1016": 10.808,
      "18,1017": 98.194,
      "18,1018": 34.059,
      "18,1019": 51.304,
      "19,1": 30.871,
      "19,2": 32.65,
      "19,3": 41.437,
      "19,4": 25.179,
      "19,5": 7.81,
      "19,6": 59.034,
      "19,7": 27.295,
      "19,8": 23.345,
      "19,9": 35.0,
      "19,10": 2.236,
      "19,11": 65.924,
      "19,12": 18.028,
      "19,13": 26.926,
      "19,14": 39.85,
      "19,15": 70.064,
      "19,16": 75.425,
      "19,17": 28.636,
      "19,18": 23.601,
      "19,19": 0.0,
      "19,20": 61.0,
      "19,21": 16.125,
      "19,22": 21.095,
      "19,23": 55.444,
      "19,24": 75.06,
      "19,25": 35.468,
      "19,26": 2.236,
      "19,27": 49.204,
      "19,28": 22.672,
      "19,29": 71.0,
      "19,30": 75.538,
      "19,31": 11.18,
      "19,32": 29.833,
      "19,33": 68.447,
      "19,34": 27.857,
      "19,35": 20.616,
      "19,36": 60.208,
      "19,37": 57.385,
      "19,38": 17.263,
      "19,39": 75.928,
      "19,40": 23.022,
      "19,41": 35.171,
      "19,42": 12.806,
      "19,43": 8.062,
      "19,44": 17.088,
      "19,45": 61.685,
      "19,46": 10.05,
      "19,47": 34.059,
      "19,48": 77.492,
      "19,49": 39.459,
      "19,50": 77.369,
      "19,1000": 33.5,
      "19,1001": 15.853,
      "19,1002": 81.151,
      "19,1003": 15.987,
      "19,1004": 36.224,
      "19,1005": 60.36,
      "19,1006": 74.118,
      "19,1007": 12.896,
      "19,1008": 6.175,
      "19,1009": 26.075,
      "19,1010": 19.867,
      "19,1011": 18.515,
      "19,1012": 72.735,
      "19,1013": 22.412,
      "19,1014": 49.505,
      "19,1015": 61.689,
      "19,1016": 12.919,
      "19,1017": 77.938,
      "19,1018": 11.395,
      "19,1019": 27.727,
      "20,1": 40.0,
      "20,2": 53.075,
      "20,3": 25.495,
      "20,4": 72.56,
      "20,5": 56.321,
      "20,6": 2.0,
      "20,7": 58.6,
      "20,8": 77.162,
      "20,9": 89.9,
      "20,10": 61.66,
      "20,11": 22.561,
      "20,12": 59.414,
      "20,13": 86.683,
      "20,14": 22.023,
      "20,15": 12.806,
      "20,16": 24.207,
      "20,17": 60.605,
      "20,18": 74.431,
      "20,19": 61.0,
      "20,20": 0.0,
      "20,21": 62.201,
      "20,22": 69.771,
      "20,23": 18.682,
      "20,24": 17.0,
      "20,25": 53.038,
      "20,26": 62.37,
      "20,27": 46.065,
      "20,28": 50.249,
      "20,29": 15.556,
      "20,30": 25.0,
      "20,31": 72.18,
      "20,32": 83.385,
      "20,33": 7.616,
      "20,34": 62.201,
      "20,35": 44.045,
      "20,36": 6.0,
      "20,37": 33.734,
      "20,38": 77.414,
      "20,39": 31.305,
      "20,40": 78.924,
      "20,41": 32.802,
      "20,42": 70.064,
      "20,43": 64.125,
      "20,44": 44.283,
      "20,45": 32.062,
      "20,46": 62.626,
      "20,47": 53.038,
      "20,48": 36.77,
      "20,49": 21.587,
      "20,50": 17.0,
      "20,1000": 51.871,
      "20,1001": 72.801,
      "20,1002": 32.955,
      "20,1003": 76.104,
      "20,1004": 52.118,
      "20,1005": 12.622,
      "20,1006": 13.186,
      "20,1007": 71.765,
      "20,1008": 63.121,
      "20,1009": 51.325,
      "20,1010": 80.5,
      "20,1011": 61.501,
      "20,1012": 33.615,
      "20,1013": 46.503,
      "20,1014": 24.347,
      "20,1015": 34.887,
      "20,1016": 66.65,
      "20,1017": 38.383,
      "20,1018": 52.159,
      "20,1019": 56.532,
      "21,1": 41.725,
      "21,2": 47.011,
      "21,3": 48.301,
      "21,4": 41.012,
      "21,5": 22.472,
      "21,6": 60.208,
      "21,7": 42.72,
      "21,8": 15.0,
      "21,9": 47.927,
      "21,10": 14.036,
      "21,11": 72.236,
      "21,12": 3.606,
      "21,13": 36.62,
      "21,14": 40.2,
      "21,15": 73.164,
      "21,16": 80.654,
      "21,17": 44.272,
      "21,18": 12.369,
      "21,19": 16.125,
      "21,20": 62.201,
      "21,21": 0.0,
      "21,22": 37.0,
      "21,23": 61.465,
      "21,24": 78.09,
      "21,25": 49.739,
      "21,26": 18.028,
      "21,27": 61.62,
      "21,28": 36.359,
      "21,29": 74.733,
      "21,30": 80.957,
      "21,31": 20.125,
      "21,32": 21.213,
      "21,33": 69.029,
      "21,34": 43.681,
      "21,35": 18.248,
      "21,36": 62.968,
      "21,37": 66.851,
      "21,38": 19.849,
      "21,39": 82.855,
      "21,40": 36.688,
      "21,41": 43.829,
      "21,42": 11.314,
      "21,43": 9.22,
      "21,44": 20.591,
      "21,45": 70.491,
      "21,46": 26.173,
      "21,47": 48.374,
      "21,48": 85.422,
      "21,49": 42.202,
      "21,50": 77.058,
      "21,1000": 47.61,
      "21,1001": 12.655,
      "21,1002": 87.511,
      "21,1003": 27.04,
      "21,1004": 50.303,
      "21,1005": 64.78,
      "21,1006": 74.634,
      "21,1007": 26.322,
      "21,1008": 22.164,
      "21,1009": 40.144,
      "21,1010": 23.445,
      "21,1011": 34.498,
      "21,1012": 80.672,
      "21,1013": 34.721,
      "21,1014": 56.898,
      "21,1015": 71.087,
      "21,1016": 6.773,
      "21,1017": 86.156,
      "21,1018": 24.217,
      "21,1019": 42.827,
      "22,1": 31.048,
      "22,2": 23.345,
      "22,3": 45.541,
      "22,4": 4.123,
      "22,5": 17.889,
      "22,6": 68.0,
      "22,7": 15.297,
      "22,8": 39.925,
      "22,9": 20.248,
      "22,10": 23.022,
      "22,11": 67.742,
      "22,12": 39.115,
      "22,13": 22.136,
      "22,14": 51.856,
      "22,15": 75.895,
      "22,16": 78.09,
      "22,17": 14.866,
      "22,18": 41.761,
      "22,19": 21.095,
      "22,20": 69.771,
      "22,21": 37.0,
      "22,22": 0.0,
      "22,23": 58.694,
      "22,24": 80.654,
      "22,25": 25.71,
      "22,26": 19.026,
      "22,27": 41.976,
      "22,28": 19.925,
      "22,29": 75.961,
      "22,30": 77.929,
      "22,31": 21.024,
      "22,32": 45.177,
      "22,33": 77.369,
      "22,34": 13.0,
      "22,35": 38.471,
      "22,36": 67.231,
      "22,37": 55.009,
      "22,38": 28.302,
      "22,39": 76.105,
      "22,40": 11.18,
      "22,41": 37.947,
      "22,42": 30.083,
      "22,43": 28.071,
      "22,44": 32.45,
      "22,45": 60.0,
      "22,46": 11.402,
      "22,47": 24.515,
      "22,48": 76.026,
      "22,49": 49.092,
      "22,50": 86.77,
      "22,1000": 24.788,
      "22,1001": 32.233,
      "22,1002": 81.857,
      "22,1003": 17.089,
      "22,1004": 26.901,
      "22,1005": 65.282,
      "22,1006": 82.77,
      "22,1007": 13.418,
      "22,1008": 14.923,
      "22,1009": 20.283,
      "22,1010": 28.177,
      "22,1011": 8.287,
      "22,1012": 71.57,
      "22,1013": 23.32,
      "22,1014": 51.5,
      "22,1015": 58.997,
      "22,1016": 32.411,
      "22,1017": 75.988,
      "22,1018": 20.302,
      "22,1019": 17.205,
      "23,1": 27.659,
      "23,2": 38.471,
      "23,3": 14.036,
      "23,4": 60.729,
      "23,5": 49.041,
      "23,6": 18.248,
      "23,7": 45.31,
      "23,8": 75.584,
      "23,9": 78.848,
      "23,10": 56.719,
      "23,11": 10.77,
      "23,12": 59.506,
      "23,13": 78.313,
      "23,14": 25.495,
      "23,15": 18.028,
      "23,16": 20.025,
      "23,17": 47.011,
      "23,18": 73.736,
      "23,19": 55.444,
      "23,20": 18.682,
      "23,21": 61.465,
      "23,22": 58.694,
      "23,23": 0.0,
      "23,24": 22.361,
      "23,25": 37.736,
      "23,26": 56.223,
      "23,27": 28.018,
      "23,28": 38.833,
      "23,29": 17.464,
      "23,30": 20.1,
      "23,31": 66.189,
      "23,32": 82.219,
      "23,33": 24.187,
      "23,34": 48.847,
      "23,35": 43.829,
      "23,36": 13.0,
      "23,37": 15.133,
      "23,38": 72.691,
      "23,39": 21.471,
      "23,40": 69.051,
      "23,41": 21.095,
      "23,42": 66.708,
      "23,43": 60.638,
      "23,44": 41.11,
      "23,45": 14.318,
      "23,46": 54.083,
      "23,47": 38.079,
      "23,48": 24.839,
      "23,49": 20.616,
      "23,50": 32.802,
      "23,1000": 37.077,
      "23,1001": 69.733,
      "23,1002": 26.073,
      "23,1003": 68.596,
      "23,1004": 36.643,
      "23,1005": 7.581,
      "23,1006": 28.039,
      "23,1007": 63.842,
      "23,1008": 55.759,
      "23,1009": 38.664,
      "23,1010": 75.256,
      "23,1011": 50.553,
      "23,1012": 20.362,
      "23,1013": 36.004,
      "23,1014": 7.428,
      "23,1015": 16.863,
      "23,1016": 64.245,
      "23,1017": 25.944,
      "23,1018": 44.742,
      "23,1019": 43.14,
      "24,1": 49.649,
      "24,2": 60.828,
      "24,3": 35.171,
      "24,4": 82.873,
      "24,5": 69.462,
      "24,6": 18.788,
      "24,7": 67.624,
      "24,8": 92.914,
      "24,9": 100.881,
      "24,10": 76.007,
      "24,11": 17.205,
      "24,12": 75.505,
      "24,13": 99.464,
      "24,14": 38.079,
      "24,15": 5.0,
      "24,16": 11.0,
      "24,17": 69.354,
      "24,18": 90.427,
      "24,19": 75.06,
      "24,20": 17.0,
      "24,21": 78.09,
      "24,22": 80.654,
      "24,23": 22.361,
      "24,24": 0.0,
      "24,25": 60.033,
      "24,26": 76.164,
      "24,27": 48.836,
      "24,28": 60.729,
      "24,29": 5.0,
      "24,30": 12.0,
      "24,31": 86.145,
      "24,32": 99.298,
      "24,33": 13.601,
      "24,34": 71.176,
      "24,35": 59.841,
      "24,36": 15.133,
      "24,37": 33.302,
      "24,38": 92.0,
      "24,39": 20.025,
      "24,40": 90.708,
      "24,41": 42.72,
      "24,42": 85.147,
      "24,43": 79.101,
      "24,44": 59.076,
      "24,45": 29.411,
      "24,46": 75.133,
      "24,47": 60.415,
      "24,48": 26.019,
      "24,49": 36.125,
      "24,50": 16.0,
      "24,1000": 59.427,
      "24,1001": 88.014,
      "24,1002": 19.024,
      "24,1003": 89.316,
      "24,1004": 58.918,
      "24,1005": 15.372,
      "24,1006": 12.045,
      "24,1007": 84.713,
      "24,1008": 76.3,
      "24,1009": 60.853,
      "24,1010": 94.876,
      "24,1011": 72.425,
      "24,1012": 24.825,
      "24,1013": 57.57,
      "24,1014": 29.788,
      "24,1015": 32.281,
      "24,1016": 82.048,
      "24,1017": 27.802,
      "24,1018": 65.166,
      "24,1019": 65.458,
      "25,1": 14.866,
      "25,2": 2.828,
      "25,3": 27.659,
      "25,4": 26.077,
      "25,5": 27.803,
      "25,6": 51.662,
      "25,7": 10.44,
      "25,8": 58.728,
      "25,9": 44.011,
      "25,10": 37.643,
      "25,11": 44.944,
      "25,12": 50.09,
      "25,13": 47.802,
      "25,14": 41.785,
      "25,15": 55.758,
      "25,16": 55.362,
      "25,17": 11.045,
      "25,18": 59.034,
      "25,19": 35.468,
      "25,20": 53.038,
      "25,21": 49.739,
      "25,22": 25.71,
      "25,23": 37.736,
      "25,24": 60.033,
      "25,25": 0.0,
      "25,26": 34.655,
      "25,27": 16.279,
      "25,28": 13.416,
      "25,29": 55.073,
      "25,30": 55.027,
      "25,31": 42.202,
      "25,32": 65.054,
      "25,33": 60.141,
      "25,34": 13.038,
      "25,35": 40.608,
      "25,36": 48.918,
      "25,37": 30.414,
      "25,38": 50.0,
      "25,39": 51.971,
      "25,40": 36.878,
      "25,41": 21.095,
      "25,42": 48.104,
      "25,43": 43.417,
      "25,44": 33.734,
      "25,45": 35.511,
      "25,46": 27.803,
      "25,47": 1.414,
      "25,48": 51.157,
      "25,49": 36.674,
      "25,50": 69.426,
      "25,1000": 2.231,
      "25,1001": 51.026,
      "25,1002": 57.835,
      "25,1003": 41.023,
      "25,1004": 1.245,
      "25,1005": 45.149,
      "25,1006": 64.888,
      "25,1007": 36.328,
      "25,1008": 31.619,
      "25,1009": 9.596,
      "25,1010": 51.079,
      "25,1011": 19.767,
      "25,1012": 46.927,
      "25,1013": 15.999,
      "25,1014": 30.339,
      "25,1015": 34.088,
      "25,1016": 48.259,
      "25,1017": 50.942,
      "25,1018": 25.524,
      "25,1019": 8.773,
      "26,1": 31.016,
      "26,2": 31.828,
      "26,3": 42.19,
      "26,4": 23.087,
      "26,5": 7.616,
      "26,6": 60.415,
      "26,7": 26.077,
      "26,8": 24.083,
      "26,9": 32.802,
      "26,10": 4.0,
      "26,11": 66.611,
      "26,12": 20.1,
      "26,13": 25.06,
      "26,14": 41.437,
      "26,15": 71.176,
      "26,16": 76.236,
      "26,17": 27.295,
      "26,18": 24.698,
      "26,19": 2.236,
      "26,20": 62.37,
      "26,21": 18.028,
      "26,22": 19.026,
      "26,23": 56.223,
      "26,24": 76.164,
      "26,25": 34.655,
      "26,26": 0.0,
      "26,27": 48.826,
      "26,28": 22.204,
      "26,29": 72.028,
      "26,30": 76.322,
      "26,31": 10.0,
      "26,32": 30.414,
      "26,33": 69.857,
      "26,34": 26.401,
      "26,35": 22.672,
      "26,36": 61.4,
      "26,37": 57.585,
      "26,38": 16.763,
      "26,39": 76.485,
      "26,40": 20.809,
      "26,41": 35.693,
      "26,42": 13.454,
      "26,43": 9.487,
      "26,44": 18.788,
      "26,45": 61.984,
      "26,46": 8.246,
      "26,47": 33.242,
      "26,48": 77.885,
      "26,49": 40.792,
      "26,50": 78.848,
      "26,1000": 32.756,
      "26,1001": 16.378,
      "26,1002": 81.78,
      "26,1003": 14.131,
      "26,1004": 35.468,
      "26,1005": 61.339,
      "26,1006": 75.518,
      "26,1007": 10.77,
      "26,1008": 4.136,
      "26,1009": 25.424,
      "26,1010": 19.058,
      "26,1011": 16.981,
      "26,1012": 73.142,
      "26,1013": 22.362,
      "26,1014": 50.109,
      "26,1015": 61.882,
      "26,1016": 14.244,
      "26,1017": 78.282,
      "26,1018": 11.664,
      "26,1019": 26.66,
      "27,1": 20.248,
      "27,2": 18.682,
      "27,3": 24.083,
      "27,4": 42.297,
      "27,5": 41.4,
      "27,6": 45.188,
      "27,7": 26.683,
      "27,8": 72.471,
      "27,9": 60.033,
      "27,10": 51.225,
      "27,11": 32.202,
      "27,12": 61.221,
      "27,13": 64.031,
      "27,14": 42.012,
      "27,15": 45.277,
      "27,16": 42.19,
      "27,17": 27.295,
      "27,18": 72.18,
      "27,19": 49.204,
      "27,20": 46.065,
      "27,21": 61.62,
      "27,22": 41.976,
      "27,23": 28.018,
      "27,24": 48.836,
      "27,25": 16.279,
      "27,26": 48.826,
      "27,27": 0.0,
      "27,28": 26.627,
      "27,29": 43.863,
      "27,30": 41.677,
      "27,31": 57.306,
      "27,32": 79.025,
      "27,33": 52.154,
      "27,34": 29.275,
      "27,35": 48.765,
      "27,36": 40.817,
      "27,37": 16.125,
      "27,38": 65.0,
      "27,39": 37.336,
      "27,40": 53.151,
      "27,41": 21.587,
      "27,42": 62.008,
      "27,43": 56.727,
      "27,44": 42.72,
      "27,45": 21.024,
      "27,46": 42.942,
      "27,47": 17.464,
      "27,48": 35.693,
      "27,49": 36.0,
      "27,50": 60.803,
      "27,1000": 17.3,
      "27,1001": 65.053,
      "27,1002": 43.195,
      "27,1003": 56.832,
      "27,1004": 15.077,
      "27,1005": 35.509,
      "27,1006": 56.021,
      "27,1007": 52.034,
      "27,1008": 46.369,
      "27,1009": 23.703,
      "27,1010": 66.424,
      "27,1011": 35.626,
      "27,1012": 31.805,
      "27,1013": 27.086,
      "27,1014": 21.732,
      "27,1015": 18.99,
      "27,1016": 61.41,
      "27,1017": 35.282,
      "27,1018": 38.15,
      "27,1019": 24.871,
      "28,1": 11.18,
      "28,2": 10.77,
      "28,3": 25.632,
      "28,4": 22.361,
      "28,5": 14.866,
      "28,6": 48.549,
      "28,7": 9.849,
      "28,8": 46.011,
      "28,9": 40.162,
      "28,10": 24.759,
      "28,11": 48.166,
      "28,12": 36.674,
      "28,13": 40.012,
      "28,14": 34.205,
      "28,15": 55.973,
      "28,16": 58.421,
      "28,17": 12.083,
      "28,18": 46.011,
      "28,19": 22.672,
      "28,20": 50.249,
      "28,21": 36.359,
      "28,22": 19.925,
      "28,23": 38.833,
      "28,24": 60.729,
      "28,25": 13.416,
      "28,26": 22.204,
      "28,27": 26.627,
      "28,28": 0.0,
      "28,29": 56.045,
      "28,30": 58.31,
      "28,31": 30.871,
      "28,32": 52.498,
      "28,33": 57.801,
      "28,34": 13.038,
      "28,35": 28.018,
      "28,36": 47.424,
      "28,37": 36.674,
      "28,38": 38.471,
      "28,39": 57.035,
      "28,40": 30.265,
      "28,41": 18.028,
      "28,42": 35.468,
      "28,43": 30.414,
      "28,44": 21.024,
      "28,45": 41.437,
      "28,46": 16.763,
      "28,47": 12.083,
      "28,48": 57.559,
      "28,49": 30.414,
      "28,50": 67.231,
      "28,1000": 11.258,
      "28,1001": 38.487,
      "28,1002": 62.67,
      "28,1003": 31.278,
      "28,1004": 13.944,
      "28,1005": 45.357,
      "28,1006": 63.107,
      "28,1007": 26.391,
      "28,1008": 19.845,
      "28,1009": 3.893,
      "28,1010": 40.096,
      "28,1011": 11.722,
      "28,1012": 52.937,
      "28,1013": 4.221,
      "28,1014": 31.733,
      "28,1015": 40.881,
      "28,1016": 35.203,
      "28,1017": 57.728,
      "28,1018": 12.153,
      "28,1019": 8.512,
      "29,1": 44.922,
      "29,2": 55.902,
      "29,3": 30.594,
      "29,4": 78.109,
      "29,5": 65.192,
      "29,6": 17.029,
      "29,7": 62.769,
      "29,8": 89.443,
      "29,9": 96.167,
      "29,10": 72.028,
      "29,11": 12.53,
      "29,12": 72.277,
      "29,13": 95.037,
      "29,14": 35.114,
      "29,15": 3.162,
      "29,16": 8.944,
      "29,17": 64.475,
      "29,18": 87.098,
      "29,19": 71.0,
      "29,20": 15.556,
      "29,21": 74.733,
      "29,22": 75.961,
      "29,23": 17.464,
      "29,24": 5.0,
      "29,25": 55.073,
      "29,26": 72.028,
      "29,27": 43.863,
      "29,28": 56.045,
      "29,29": 0.0,
      "29,30": 9.849,
      "29,31": 82.024,
      "29,32": 95.901,
      "29,33": 14.56,
      "29,34": 66.31,
      "29,35": 56.515,
      "29,36": 12.083,
      "29,37": 28.425,
      "29,38": 88.051,
      "29,39": 17.263,
      "29,40": 86.122,
      "29,41": 38.079,
      "29,42": 81.394,
      "29,43": 75.326,
      "29,44": 55.326,
      "29,45": 24.698,
      "29,46": 70.711,
      "29,47": 55.471,
      "29,48": 23.195,
      "29,49": 32.558,
      "29,50": 19.416,
      "29,1000": 54.494,
      "29,1001": 84.306,
      "29,1002": 17.708,
      "29,1003": 85.0,
      "29,1004": 53.952,
      "29,1005": 10.784,
      "29,1006": 14.897,
      "29,1007": 80.351,
      "29,1008": 72.013,
      "29,1009": 56.063,
      "29,1010": 90.855,
      "29,1011": 67.758,
      "29,1012": 21.272,
      "29,1013": 52.979,
      "29,1014": 24.882,
      "29,1015": 27.605,
      "29,1016": 78.436,
      "29,1017": 24.948,
      "29,1018": 60.885,
      "29,1019": 60.6,
      "30,1": 47.17,
      "30,2": 56.321,
      "30,3": 34.132,
      "30,4": 79.624,
      "30,5": 69.116,
      "30,6": 26.249,
      "30,7": 63.789,
      "30,8": 95.336,
      "30,9": 97.862,
      "30,10": 76.792,
      "30,11": 10.198,
      "30,12": 78.772,
      "30,13": 98.127,
      "30,14": 42.544,
      "30,15": 13.0,
      "30,16": 1.0,
      "30,17": 65.253,
      "30,18": 93.301,
      "30,19": 75.538,
      "30,20": 25.0,
      "30,21": 80.957,
      "30,22": 77.929,
      "30,23": 20.1,
      "30,24": 12.0,
      "30,25": 55.027,
      "30,26": 76.322,
      "30,27": 41.677,
      "30,28": 58.31,
      "30,29": 9.849,
      "30,30": 0.0,
      "30,31": 86.284,
      "30,32": 101.922,
      "30,33": 24.352,
      "30,34": 67.186,
      "30,35": 62.968,
      "30,36": 20.518,
      "30,37": 25.554,
      "30,38": 92.779,
      "30,39": 8.062,
      "30,40": 88.566,
      "30,41": 41.0,
      "30,42": 86.683,
      "30,43": 80.604,
      "30,44": 60.877,
      "30,45": 20.809,
      "30,46": 74.007,
      "30,47": 55.66,
      "30,48": 14.036,
      "30,49": 39.0,
      "30,50": 28.0,
      "30,1000": 54.843,
      "30,1001": 89.686,
      "30,1002": 7.955,
      "30,1003": 88.583,
      "30,1004": 53.827,
      "30,1005": 16.416,
      "30,1006": 23.926,
      "30,1007": 83.797,
      "30,1008": 75.806,
      "30,1009": 57.671,
      "30,1010": 95.356,
      "30,1011": 69.955,
      "30,1012": 13.376,
      "30,1013": 55.782,
      "30,1014": 26.638,
      "30,1015": 23.325,
      "30,1016": 84.082,
      "30,1017": 15.819,
      "30,1018": 64.824,
      "30,1019": 61.627,
      "31,1": 40.522,
      "31,2": 39.408,
      "31,3": 52.154,
      "31,4": 24.352,
      "31,5": 17.263,
      "31,6": 70.214,
      "31,7": 32.558,
      "31,8": 18.974,
      "31,9": 27.857,
      "31,10": 10.77,
      "31,11": 76.531,
      "31,12": 23.324,
      "31,13": 16.971,
      "31,14": 50.961,
      "31,15": 81.154,
      "31,16": 86.209,
      "31,17": 33.242,
      "31,18": 21.213,
      "31,19": 11.18,
      "31,20": 72.18,
      "31,21": 20.125,
      "31,22": 21.024,
      "31,23": 66.189,
      "31,24": 86.145,
      "31,25": 42.202,
      "31,26": 10.0,
      "31,27": 57.306,
      "31,28": 30.871,
      "31,29": 82.024,
      "31,30": 86.284,
      "31,31": 0.0,
      "31,32": 24.187,
      "31,33": 79.624,
      "31,34": 31.89,
      "31,35": 30.887,
      "31,36": 71.344,
      "31,37": 67.052,
      "31,38": 7.81,
      "31,39": 86.313,
      "31,40": 17.117,
      "31,41": 45.541,
      "31,42": 10.05,
      "31,43": 11.402,
      "31,44": 28.16,
      "31,45": 71.568,
      "31,46": 14.422,
      "31,47": 40.804,
      "31,48": 87.556,
      "31,49": 50.636,
      "31,50": 88.527,
      "31,1000": 40.531,
      "31,1001": 11.515,
      "31,1002": 91.659,
      "31,1003": 6.932,
      "31,1004": 43.16,
      "31,1005": 71.339,
      "31,1006": 85.296,
      "31,1007": 7.75,
      "31,1008": 11.049,
      "31,1009": 33.607,
      "31,1010": 9.284,
      "31,1011": 22.804,
      "31,1012": 82.832,
      "31,1013": 31.709,
      "31,1014": 59.991,
      "31,1015": 71.331,
      "31,1016": 13.781,
      "31,1017": 87.897,
      "31,1018": 21.499,
      "31,1019": 33.642,
      "32,1": 60.208,
      "32,2": 62.225,
      "32,3": 68.71,
      "32,4": 48.332,
      "32,5": 37.643,
      "32,6": 81.394,
      "32,7": 56.08,
      "32,8": 6.708,
      "32,9": 47.043,
      "32,10": 27.803,
      "32,11": 92.973,
      "32,12": 24.021,
      "32,13": 33.0,
      "32,14": 61.4,
      "32,15": 94.366,
      "32,16": 101.651,
      "32,17": 57.009,
      "32,18": 9.0,
      "32,19": 29.833,
      "32,20": 83.385,
      "32,21": 21.213,
      "32,22": 45.177,
      "32,23": 82.219,
      "32,24": 99.298,
      "32,25": 65.054,
      "32,26": 30.414,
      "32,27": 79.025,
      "32,28": 52.498,
      "32,29": 95.901,
      "32,30": 101.922,
      "32,31": 24.187,
      "32,32": 0.0,
      "32,33": 90.139,
      "32,34": 55.803,
      "32,35": 39.459,
      "32,36": 84.172,
      "32,37": 86.354,
      "32,38": 17.088,
      "32,39": 103.465,
      "32,40": 39.294,
      "32,41": 63.506,
      "32,42": 17.029,
      "32,43": 22.472,
      "32,44": 41.11,
      "32,45": 90.338,
      "32,46": 37.643,
      "32,47": 63.64,
      "32,48": 105.702,
      "32,49": 63.348,
      "32,50": 98.0,
      "32,1000": 63.169,
      "32,1001": 14.036,
      "32,1002": 108.291,
      "32,1003": 29.006,
      "32,1004": 65.879,
      "32,1005": 85.85,
      "32,1006": 95.716,
      "32,1007": 31.781,
      "32,1008": 33.562,
      "32,1009": 55.824,
      "32,1010": 18.469,
      "32,1011": 46.481,
      "32,1012": 100.932,
      "32,1013": 52.092,
      "32,1014": 77.217,
      "32,1015": 90.648,
      "32,1016": 18.169,
      "32,1017": 106.326,
      "32,1018": 40.97,
      "32,1019": 56.886,
      "33,1": 47.434,
      "33,2": 60.308,
      "33,3": 32.802,
      "33,4": 80.131,
      "33,5": 63.891,
      "33,6": 9.487,
      "33,7": 66.03,
      "33,8": 84.024,
      "33,9": 97.509,
      "33,10": 69.051,
      "33,11": 25.08,
      "33,12": 66.121,
      "33,13": 94.255,
      "33,14": 29.069,
      "33,15": 11.402,
      "33,16": 23.409,
      "33,17": 68.007,
      "33,18": 81.154,
      "33,19": 68.447,
      "33,20": 7.616,
      "33,21": 69.029,
      "33,22": 77.369,
      "33,23": 24.187,
      "33,24": 13.601,
      "33,25": 60.141,
      "33,26": 69.857,
      "33,27": 52.154,
      "33,28": 57.801,
      "33,29": 14.56,
      "33,30": 24.352,
      "33,31": 79.624,
      "33,32": 90.139,
      "33,33": 0.0,
      "33,34": 69.635,
      "33,35": 51.01,
      "33,36": 11.402,
      "33,37": 38.626,
      "33,38": 84.717,
      "33,39": 31.78,
      "33,40": 86.539,
      "33,41": 40.224,
      "33,42": 77.233,
      "33,43": 71.344,
      "33,44": 51.624,
      "33,45": 36.139,
      "33,46": 70.228,
      "33,47": 60.208,
      "33,48": 37.656,
      "33,49": 29.12,
      "33,50": 9.434,
      "33,1000": 59.065,
      "33,1001": 79.917,
      "33,1002": 32.052,
      "33,1003": 83.646,
      "33,1004": 59.181,
      "33,1005": 16.979,
      "33,1006": 5.682,
      "33,1007": 79.335,
      "33,1008": 70.679,
      "33,1009": 58.791,
      "33,1010": 87.848,
      "33,1011": 69.095,
      "33,1012": 35.318,
      "33,1013": 54.087,
      "33,1014": 30.686,
      "33,1015": 39.071,
      "33,1016": 73.708,
      "33,1017": 39.388,
      "33,1018": 59.744,
      "33,1019": 63.944,
      "34,1": 22.204,
      "34,2": 11.045,
      "34,3": 36.892,
      "34,4": 13.038,
      "34,5": 21.378,
      "34,6": 60.605,
      "34,7": 3.606,
      "34,8": 49.93,
      "34,9": 31.064,
      "34,10": 30.083,
      "34,11": 57.009,
      "34,12": 44.911,
      "34,13": 35.114,
      "34,14": 47.202,
      "34,15": 66.641,
      "34,16": 67.446,
      "34,17": 2.0,
      "34,18": 51.0,
      "34,19": 27.857,
      "34,20": 62.201,
      "34,21": 43.681,
      "34,22": 13.0,
      "34,23": 48.847,
      "34,24": 71.176,
      "34,25": 13.038,
      "34,26": 26.401,
      "34,27": 29.275,
      "34,28": 13.038,
      "34,29": 66.31,
      "34,30": 67.186,
      "34,31": 31.89,
      "34,32": 55.803,
      "34,33": 69.635,
      "34,34": 0.0,
      "34,35": 39.459,
      "34,36": 58.83,
      "34,37": 43.186,
      "34,38": 39.623,
      "34,39": 64.63,
      "34,40": 24.042,
      "34,41": 29.411,
      "34,42": 39.446,
      "34,43": 35.847,
      "34,44": 32.558,
      "34,45": 48.26,
      "34,46": 18.358,
      "34,47": 12.0,
      "34,48": 64.07,
      "34,49": 43.186,
      "34,50": 79.057,
      "34,1000": 12.546,
      "34,1001": 42.078,
      "34,1002": 70.463,
      "34,1003": 29.405,
      "34,1004": 14.271,
      "34,1005": 55.933,
      "34,1006": 74.747,
      "34,1007": 25.057,
      "34,1008": 22.593,
      "34,1009": 10.932,
      "34,1010": 40.117,
      "34,1011": 9.443,
      "34,1012": 59.761,
      "34,1013": 17.259,
      "34,1014": 41.445,
      "34,1015": 46.987,
      "34,1016": 40.643,
      "34,1017": 63.906,
      "34,1018": 21.147,
      "34,1019": 5.735,
      "35,1": 28.636,
      "35,2": 38.328,
      "35,3": 31.401,
      "35,4": 42.485,
      "35,5": 20.591,
      "35,6": 42.048,
      "35,7": 37.121,
      "35,8": 33.136,
      "35,9": 55.227,
      "35,10": 20.248,
      "35,11": 54.562,
      "35,12": 15.811,
      "35,13": 47.434,
      "35,14": 22.023,
      "35,15": 54.918,
      "35,16": 62.626,
      "35,17": 39.205,
      "35,18": 30.594,
      "35,19": 20.616,
      "35,20": 44.045,
      "35,21": 18.248,
      "35,22": 38.471,
      "35,23": 43.829,
      "35,24": 59.841,
      "35,25": 40.608,
      "35,26": 22.672,
      "35,27": 48.765,
      "35,28": 28.018,
      "35,29": 56.515,
      "35,30": 62.968,
      "35,31": 30.887,
      "35,32": 39.459,
      "35,33": 51.01,
      "35,34": 39.459,
      "35,35": 0.0,
      "35,36": 44.721,
      "35,37": 50.931,
      "35,38": 34.482,
      "35,39": 65.299,
      "35,40": 43.186,
      "35,41": 28.425,
      "35,42": 26.476,
      "35,43": 20.881,
      "35,44": 7.0,
      "35,45": 54.037,
      "35,46": 27.459,
      "35,47": 39.459,
      "35,48": 68.264,
      "35,49": 24.042,
      "35,50": 59.304,
      "35,1000": 38.381,
      "35,1001": 29.01,
      "35,1002": 69.732,
      "35,1003": 36.53,
      "35,1004": 40.758,
      "35,1005": 46.685,
      "35,1006": 56.653,
      "35,1007": 33.436,
      "35,1008": 25.427,
      "35,1009": 31.791,
      "35,1010": 37.87,
      "35,1011": 32.376,
      "35,1012": 63.569,
      "35,1013": 24.66,
      "35,1014": 39.969,
      "35,1015": 55.011,
      "35,1016": 22.732,
      "35,1017": 69.131,
      "35,1018": 18.74,
      "35,1019": 36.298,
      "36,1": 36.715,
      "36,2": 49.204,
      "36,3": 21.954,
      "36,4": 69.778,
      "36,5": 54.918,
      "36,6": 6.325,
      "36,7": 55.227,
      "36,8": 77.782,
      "36,9": 87.464,
      "36,10": 61.074,
      "36,11": 16.763,
      "36,12": 60.415,
      "36,13": 85.147,
      "36,14": 23.087,
      "36,15": 10.198,
      "36,16": 19.849,
      "36,17": 57.14,
      "36,18": 75.313,
      "36,19": 60.208,
      "36,20": 6.0,
      "36,21": 62.968,
      "36,22": 67.231,
      "36,23": 13.0,
      "36,24": 15.133,
      "36,25": 48.918,
      "36,26": 61.4,
      "36,27": 40.817,
      "36,28": 47.424,
      "36,29": 12.083,
      "36,30": 20.518,
      "36,31": 71.344,
      "36,32": 84.172,
      "36,33": 11.402,
      "36,34": 58.83,
      "36,35": 44.721,
      "36,36": 0.0,
      "36,37": 27.893,
      "36,38": 77.026,
      "36,39": 26.077,
      "36,40": 76.844,
      "36,41": 29.53,
      "36,42": 70.064,
      "36,43": 64.031,
      "36,44": 44.011,
      "36,45": 26.077,
      "36,46": 60.877,
      "36,47": 49.041,
      "36,48": 31.305,
      "36,49": 21.024,
      "36,50": 20.518,
      "36,1000": 47.923,
      "36,1001": 72.914,
      "36,1002": 28.367,
      "36,1003": 74.797,
      "36,1004": 47.93,
      "36,1005": 6.626,
      "36,1006": 15.986,
      "36,1007": 70.293,
      "36,1008": 61.763,
      "36,1009": 48.1,
      "36,1010": 79.961,
      "36,1011": 58.945,
      "36,1012": 27.916,
      "36,1013": 43.923,
      "36,1014": 19.285,
      "36,1015": 28.915,
      "36,1016": 66.926,
      "36,1017": 32.862,
      "36,1018": 50.659,
      "36,1019": 53.108,
      "37,1": 26.571,
      "37,2": 32.14,
      "37,3": 20.0,
      "37,4": 56.08,
      "37,5": 49.98,
      "37,6": 33.377,
      "37,7": 40.05,
      "37,8": 79.649,
      "37,9": 74.243,
      "37,10": 59.093,
      "37,11": 16.279,
      "37,12": 65.605,
      "37,13": 76.42,
      "37,14": 37.162,
      "37,15": 30.232,
      "37,16": 26.077,
      "37,17": 41.195,
      "37,18": 78.549,
      "37,19": 57.385,
      "37,20": 33.734,
      "37,21": 66.851,
      "37,22": 55.009,
      "37,23": 15.133,
      "37,24": 33.302,
      "37,25": 30.414,
      "37,26": 57.585,
      "37,27": 16.125,
      "37,28": 36.674,
      "37,29": 28.425,
      "37,30": 25.554,
      "37,31": 67.052,
      "37,32": 86.354,
      "37,33": 38.626,
      "37,34": 43.186,
      "37,35": 50.931,
      "37,36": 27.893,
      "37,37": 0.0,
      "37,38": 74.33,
      "37,39": 21.587,
      "37,40": 66.068,
      "37,41": 23.022,
      "37,42": 69.778,
      "37,43": 63.953,
      "37,44": 46.4,
      "37,45": 5.099,
      "37,46": 53.367,
      "37,47": 31.257,
      "37,48": 21.024,
      "37,49": 31.305,
      "37,50": 46.53,
      "37,1000": 30.64,
      "37,1001": 72.882,
      "37,1002": 27.463,
      "37,1003": 67.949,
      "37,1004": 29.175,
      "37,1005": 21.664,
      "37,1006": 41.712,
      "37,1007": 63.061,
      "37,1008": 56.046,
      "37,1009": 35.0,
      "37,1010": 76.336,
      "37,1011": 47.617,
      "37,1012": 16.588,
      "37,1013": 35.343,
      "37,1014": 12.474,
      "37,1015": 4.306,
      "37,1016": 68.207,
      "37,1017": 21.078,
      "37,1018": 46.005,
      "37,1019": 37.97,
      "38,1": 47.76,
      "38,2": 47.202,
      "38,3": 58.694,
      "38,4": 31.305,
      "38,5": 24.352,
      "38,6": 75.425,
      "38,7": 40.361,
      "38,8": 13.0,
      "38,9": 31.257,
      "38,10": 16.031,
      "38,11": 83.187,
      "38,12": 23.431,
      "38,13": 18.028,
      "38,14": 55.731,
      "38,15": 87.0,
      "38,16": 92.655,
      "38,17": 41.012,
      "38,18": 16.279,
      "38,19": 17.263,
      "38,20": 77.414,
      "38,21": 19.849,
      "38,22": 28.302,
      "38,23": 72.691,
      "38,24": 92.0,
      "38,25": 50.0,
      "38,26": 16.763,
      "38,27": 65.0,
      "38,28": 38.471,
      "38,29": 88.051,
      "38,30": 92.779,
      "38,31": 7.81,
      "38,32": 17.088,
      "38,33": 84.717,
      "38,34": 39.623,
      "38,35": 34.482,
      "38,36": 77.026,
      "38,37": 74.33,
      "38,38": 0.0,
      "38,39": 93.172,
      "38,40": 22.361,
      "38,41": 52.393,
      "38,42": 8.602,
      "38,43": 13.601,
      "38,44": 33.136,
      "38,45": 78.746,
      "38,46": 22.204,
      "38,47": 48.6,
      "38,48": 94.641,
      "38,49": 56.08,
      "38,50": 93.381,
      "38,1000": 48.311,
      "38,1001": 7.644,
      "38,1002": 98.411,
      "38,1003": 11.934,
      "38,1004": 50.95,
      "38,1005": 77.476,
      "38,1006": 90.399,
      "38,1007": 14.893,
      "38,1008": 18.637,
      "38,1009": 41.322,
      "38,1010": 3.601,
      "38,1011": 30.603,
      "38,1012": 89.895,
      "38,1013": 39.04,
      "38,1014": 66.759,
      "38,1015": 78.624,
      "38,1016": 13.128,
      "38,1017": 95.044,
      "38,1018": 28.416,
      "38,1019": 41.452,
      "39,1": 46.174,
      "39,2": 53.6,
      "39,3": 34.785,
      "39,4": 77.414,
      "39,5": 69.051,
      "39,6": 32.249,
      "39,7": 61.4,
      "39,8": 96.799,
      "39,9": 95.635,
      "39,10": 77.369,
      "39,11": 10.817,
      "39,12": 80.957,
      "39,13": 97.046,
      "39,14": 46.228,
      "39,15": 20.396,
      "39,16": 9.055,
      "39,17": 62.65,
      "39,18": 95.079,
      "39,19": 75.928,
      "39,20": 31.305,
      "39,21": 82.855,
      "39,22": 76.105,
      "39,23": 21.471,
      "39,24": 20.025,
      "39,25": 51.971,
      "39,26": 76.485,
      "39,27": 37.336,
      "39,28": 57.035,
      "39,29": 17.263,
      "39,30": 8.062,
      "39,31": 86.313,
      "39,32": 103.465,
      "39,33": 31.78,
      "39,34": 64.63,
      "39,35": 65.299,
      "39,36": 26.077,
      "39,37": 21.587,
      "39,38": 93.172,
      "39,39": 0.0,
      "39,40": 87.023,
      "39,41": 40.792,
      "39,42": 87.641,
      "39,43": 81.609,
      "39,44": 62.394,
      "39,45": 16.492,
      "39,46": 73.335,
      "39,47": 52.773,
      "39,48": 6.0,
      "39,49": 41.881,
      "39,50": 36.014,
      "39,1000": 52.1,
      "39,1001": 90.703,
      "39,1002": 5.878,
      "39,1003": 87.999,
      "39,1004": 50.736,
      "39,1005": 20.574,
      "39,1006": 31.838,
      "39,1007": 83.141,
      "39,1008": 75.538,
      "39,1009": 55.872,
      "39,1010": 95.524,
      "39,1011": 68.421,
      "39,1012": 6.121,
      "39,1013": 55.01,
      "39,1014": 26.437,
      "39,1015": 18.354,
      "39,1016": 85.397,
      "39,1017": 7.781,
      "39,1018": 64.839,
      "39,1019": 59.282,
      "40,1": 41.437,
      "40,2": 34.525,
      "40,3": 55.543,
      "40,4": 11.662,
      "40,5": 23.601,
      "40,6": 77.078,
      "40,7": 26.476,
      "40,8": 35.228,
      "40,9": 12.042,
      "40,10": 24.187,
      "40,11": 78.409,
      "40,12": 39.56,
      "40,13": 11.18,
      "40,14": 59.682,
      "40,15": 85.866,
      "40,16": 88.685,
      "40,17": 25.962,
      "40,18": 38.013,
      "40,19": 23.022,
      "40,20": 78.924,
      "40,21": 36.688,
      "40,22": 11.18,
      "40,23": 69.051,
      "40,24": 90.708,
      "40,25": 36.878,
      "40,26": 20.809,
      "40,27": 53.151,
      "40,28": 30.265,
      "40,29": 86.122,
      "40,30": 88.566,
      "40,31": 17.117,
      "40,32": 39.294,
      "40,33": 86.539,
      "40,34": 24.042,
      "40,35": 43.186,
      "40,36": 76.844,
      "40,37": 66.068,
      "40,38": 22.361,
      "40,39": 87.023,
      "40,40": 0.0,
      "40,41": 48.052,
      "40,42": 27.166,
      "40,43": 27.514,
      "40,44": 38.288,
      "40,45": 71.028,
      "40,46": 16.643,
      "40,47": 35.693,
      "40,48": 87.092,
      "40,49": 57.697,
      "40,50": 95.854,
      "40,1000": 35.966,
      "40,1001": 28.377,
      "40,1002": 92.736,
      "40,1003": 10.582,
      "40,1004": 38.074,
      "40,1005": 75.37,
      "40,1006": 92.057,
      "40,1007": 10.453,
      "40,1008": 17.767,
      "40,1009": 31.155,
      "40,1010": 20.953,
      "40,1011": 18.631,
      "40,1012": 82.6,
      "40,1013": 33.144,
      "40,1014": 61.998,
      "40,1015": 70.094,
      "40,1016": 30.739,
      "40,1017": 87.086,
      "40,1018": 27.265,
      "40,1019": 28.378,
      "41,1": 7.211,
      "41,2": 20.616,
      "41,3": 7.616,
      "41,4": 40.311,
      "41,5": 28.284,
      "41,6": 31.241,
      "41,7": 25.807,
      "41,8": 56.798,
      "41,9": 58.189,
      "41,10": 36.688,
      "41,11": 31.064,
      "41,12": 42.638,
      "41,13": 57.219,
      "41,14": 21.378,
      "41,15": 37.947,
      "41,16": 41.012,
      "41,17": 27.803,
      "41,18": 55.57,
      "41,19": 35.171,
      "41,20": 32.802,
      "41,21": 43.829,
      "41,22": 37.947,
      "41,23": 21.095,
      "41,24": 42.72,
      "41,25": 21.095,
      "41,26": 35.693,
      "41,27": 21.587,
      "41,28": 18.028,
      "41,29": 38.079,
      "41,30": 41.0,
      "41,31": 45.541,
      "41,32": 63.506,
      "41,33": 40.224,
      "41,34": 29.411,
      "41,35": 28.425,
      "41,36": 29.53,
      "41,37": 23.022,
      "41,38": 52.393,
      "41,39": 40.792,
      "41,40": 48.052,
      "41,41": 0.0,
      "41,42": 47.17,
      "41,43": 41.231,
      "41,44": 23.431,
      "41,45": 26.833,
      "41,46": 33.015,
      "41,47": 20.809,
      "41,48": 42.379,
      "41,49": 15.811,
      "41,50": 49.649,
      "41,1000": 19.57,
      "41,1001": 50.263,
      "41,1002": 46.12,
      "41,1003": 47.584,
      "41,1004": 20.401,
      "41,1005": 27.353,
      "41,1006": 45.372,
      "41,1007": 42.798,
      "41,1008": 34.87,
      "41,1009": 18.589,
      "41,1010": 54.736,
      "41,1011": 29.706,
      "41,1012": 37.612,
      "41,1013": 14.93,
      "41,1014": 14.467,
      "41,1015": 27.268,
      "41,1016": 45.337,
      "41,1017": 42.902,
      "41,1018": 24.051,
      "41,1019": 23.73,
      "42,1": 43.417,
      "42,2": 45.277,
      "42,3": 52.887,
      "42,4": 33.734,
      "42,5": 20.616,
      "42,6": 68.066,
      "42,7": 39.408,
      "42,8": 10.63,
      "42,9": 37.643,
      "42,10": 10.817,
      "42,11": 77.369,
      "42,12": 14.866,
      "42,13": 25.554,
      "42,14": 48.166,
      "42,15": 80.156,
      "42,16": 86.493,
      "42,17": 40.497,
      "42,18": 11.705,
      "42,19": 12.806,
      "42,20": 70.064,
      "42,21": 11.314,
      "42,22": 30.083,
      "42,23": 66.708,
      "42,24": 85.147,
      "42,25": 48.104,
      "42,26": 13.454,
      "42,27": 62.008,
      "42,28": 35.468,
      "42,29": 81.394,
      "42,30": 86.683,
      "42,31": 10.05,
      "42,32": 17.029,
      "42,33": 77.233,
      "42,34": 39.446,
      "42,35": 26.476,
      "42,36": 70.064,
      "42,37": 69.778,
      "42,38": 8.602,
      "42,39": 87.641,
      "42,40": 27.166,
      "42,41": 47.17,
      "42,42": 0.0,
      "42,43": 6.083,
      "42,44": 26.077,
      "42,45": 73.926,
      "42,46": 21.095,
      "42,47": 46.69,
      "42,48": 89.538,
      "42,49": 49.041,
      "42,50": 85.709,
      "42,1000": 46.188,
      "42,1001": 3.105,
      "42,1002": 92.682,
      "42,1003": 16.82,
      "42,1004": 48.904,
      "42,1005": 70.992,
      "42,1006": 82.904,
      "42,1007": 17.472,
      "42,1008": 16.887,
      "42,1009": 38.814,
      "42,1010": 12.201,
      "42,1011": 30.015,
      "42,1012": 84.767,
      "42,1013": 35.139,
      "42,1014": 61.231,
      "42,1015": 74.082,
      "42,1016": 4.548,
      "42,1017": 90.071,
      "42,1018": 24.036,
      "42,1019": 40.08,
      "43,1": 37.736,
      "43,2": 40.608,
      "43,3": 46.84,
      "43,4": 32.016,
      "43,5": 15.62,
      "43,6": 62.129,
      "43,7": 35.355,
      "43,8": 15.811,
      "43,9": 38.91,
      "43,10": 5.831,
      "43,11": 71.309,
      "43,12": 12.083,
      "43,13": 28.32,
      "43,14": 42.297,
      "43,15": 74.108,
      "43,16": 80.411,
      "43,17": 36.674,
      "43,18": 15.62,
      "43,19": 8.062,
      "43,20": 64.125,
      "43,21": 9.22,
      "43,22": 28.071,
      "43,23": 60.638,
      "43,24": 79.101,
      "43,25": 43.417,
      "43,26": 9.487,
      "43,27": 56.727,
      "43,28": 30.414,
      "43,29": 75.326,
      "43,30": 80.604,
      "43,31": 11.402,
      "43,32": 22.472,
      "43,33": 71.344,
      "43,34": 35.847,
      "43,35": 20.881,
      "43,36": 64.031,
      "43,37": 63.953,
      "43,38": 13.601,
      "43,39": 81.609,
      "43,40": 27.514,
      "43,41": 41.231,
      "43,42": 6.083,
      "43,43": 0.0,
      "43,44": 20.025,
      "43,45": 68.029,
      "43,46": 17.72,
      "43,47": 42.012,
      "43,48": 83.57,
      "43,49": 43.012,
      "43,50": 79.906,
      "43,1000": 41.41,
      "43,1001": 9.099,
      "43,1002": 86.626,
      "43,1003": 18.166,
      "43,1004": 44.135,
      "43,1005": 64.912,
      "43,1006": 77.021,
      "43,1007": 17.116,
      "43,1008": 13.525,
      "43,1009": 33.944,
      "43,1010": 17.02,
      "43,1011": 26.451,
      "43,1012": 78.798,
      "43,1013": 29.693,
      "43,1014": 55.214,
      "43,1015": 68.253,
      "43,1016": 4.862,
      "43,1017": 84.128,
      "43,1018": 18.582,
      "43,1019": 35.78,
      "44,1": 22.472,
      "44,2": 31.401,
      "44,3": 27.731,
      "44,4": 36.359,
      "44,5": 14.866,
      "44,6": 42.297,
      "44,7": 30.15,
      "44,8": 34.482,
      "44,9": 50.249,
      "44,10": 17.464,
      "44,11": 51.865,
      "44,12": 19.209,
      "44,13": 43.829,
      "44,14": 22.804,
      "44,15": 54.083,
      "44,16": 60.638,
      "44,17": 32.249,
      "44,18": 32.696,
      "44,19": 17.088,
      "44,20": 44.283,
      "44,21": 20.591,
      "44,22": 32.45,
      "44,23": 41.11,
      "44,24": 59.076,
      "44,25": 33.734,
      "44,26": 18.788,
      "44,27": 42.72,
      "44,28": 21.024,
      "44,29": 55.326,
      "44,30": 60.877,
      "44,31": 28.16,
      "44,32": 41.11,
      "44,33": 51.624,
      "44,34": 32.558,
      "44,35": 7.0,
      "44,36": 44.011,
      "44,37": 46.4,
      "44,38": 33.136,
      "44,39": 62.394,
      "44,40": 38.288,
      "44,41": 23.431,
      "44,42": 26.077,
      "44,43": 20.025,
      "44,44": 0.0,
      "44,45": 49.93,
      "44,46": 21.932,
      "44,47": 32.558,
      "44,48": 64.846,
      "44,49": 23.0,
      "44,50": 60.415,
      "44,1000": 31.504,
      "44,1001": 28.98,
      "44,1002": 67.182,
      "44,1003": 32.915,
      "44,1004": 33.932,
      "44,1005": 44.988,
      "44,1006": 57.305,
      "44,1007": 29.205,
      "44,1008": 20.682,
      "44,1009": 24.812,
      "44,1010": 36.226,
      "44,1011": 25.847,
      "44,1012": 60.091,
      "44,1013": 17.746,
      "44,1014": 36.316,
      "44,1015": 50.603,
      "44,1016": 23.212,
      "44,1017": 65.568,
      "44,1018": 12.256,
      "44,1019": 29.301,
      "45,1": 31.048,
      "45,2": 37.216,
      "45,3": 22.672,
      "45,4": 61.131,
      "45,5": 54.406,
      "45,6": 32.0,
      "45,7": 45.1,
      "45,8": 83.63,
      "45,9": 79.31,
      "45,10": 63.325,
      "45,11": 12.207,
      "45,12": 69.065,
      "45,13": 81.302,
      "45,14": 38.588,
      "45,15": 26.833,
      "45,16": 21.401,
      "45,17": 46.271,
      "45,18": 82.365,
      "45,19": 61.685,
      "45,20": 32.062,
      "45,21": 70.491,
      "45,22": 60.0,
      "45,23": 14.318,
      "45,24": 29.411,
      "45,25": 35.511,
      "45,26": 61.984,
      "45,27": 21.024,
      "45,28": 41.437,
      "45,29": 24.698,
      "45,30": 20.809,
      "45,31": 71.568,
      "45,32": 90.338,
      "45,33": 36.139,
      "45,34": 48.26,
      "45,35": 54.037,
      "45,36": 26.077,
      "45,37": 5.099,
      "45,38": 78.746,
      "45,39": 16.492,
      "45,40": 71.028,
      "45,41": 26.833,
      "45,42": 73.926,
      "45,43": 68.029,
      "45,44": 49.93,
      "45,45": 0.0,
      "45,46": 58.052,
      "45,47": 36.346,
      "45,48": 16.125,
      "45,49": 33.015,
      "45,50": 43.463,
      "45,1000": 35.715,
      "45,1001": 77.026,
      "45,1002": 22.369,
      "45,1003": 72.676,
      "45,1004": 34.272,
      "45,1005": 19.523,
      "45,1006": 38.679,
      "45,1007": 67.791,
      "45,1008": 60.605,
      "45,1009": 39.911,
      "45,1010": 80.846,
      "45,1011": 52.525,
      "45,1012": 11.572,
      "45,1013": 39.891,
      "45,1014": 14.297,
      "45,1015": 2.952,
      "45,1016": 72.17,
      "45,1017": 16.337,
      "45,1018": 50.35,
      "45,1019": 43.009,
      "46,1": 27.166,
      "46,2": 25.0,
      "46,3": 40.2,
      "46,4": 15.524,
      "46,5": 7.071,
      "46,6": 60.745,
      "46,7": 18.439,
      "46,8": 31.623,
      "46,9": 28.425,
      "46,10": 12.166,
      "46,11": 64.008,
      "46,12": 28.0,
      "46,13": 24.331,
      "46,14": 43.046,
      "46,15": 70.214,
      "46,16": 74.027,
      "46,17": 19.416,
      "46,18": 32.65,
      "46,19": 10.05,
      "46,20": 62.626,
      "46,21": 26.173,
      "46,22": 11.402,
      "46,23": 54.083,
      "46,24": 75.133,
      "46,25": 27.803,
      "46,26": 8.246,
      "46,27": 42.942,
      "46,28": 16.763,
      "46,29": 70.711,
      "46,30": 74.007,
      "46,31": 14.422,
      "46,32": 37.643,
      "46,33": 70.228,
      "46,34": 18.358,
      "46,35": 27.459,
      "46,36": 60.877,
      "46,37": 53.367,
      "46,38": 22.204,
      "46,39": 73.335,
      "46,40": 16.643,
      "46,41": 33.015,
      "46,42": 21.095,
      "46,43": 17.72,
      "46,44": 21.932,
      "46,45": 58.052,
      "46,46": 0.0,
      "46,47": 26.401,
      "46,48": 74.148,
      "46,49": 41.231,
      "46,50": 79.48,
      "46,1000": 26.11,
      "46,1001": 23.778,
      "46,1002": 78.856,
      "46,1003": 14.665,
      "46,1004": 28.746,
      "46,1005": 59.927,
      "46,1006": 75.799,
      "46,1007": 9.813,
      "46,1008": 4.249,
      "46,1009": 19.242,
      "46,1010": 23.482,
      "46,1011": 8.921,
      "46,1012": 69.483,
      "46,1013": 18.328,
      "46,1014": 47.401,
      "46,1015": 57.599,
      "46,1016": 22.421,
      "46,1017": 74.377,
      "46,1018": 10.636,
      "46,1019": 19.338,
      "47,1": 14.318,
      "47,2": 1.414,
      "47,3": 27.586,
      "47,4": 25.02,
      "47,5": 26.401,
      "47,6": 51.624,
      "47,7": 9.22,
      "47,8": 57.315,
      "47,9": 43.046,
      "47,10": 36.235,
      "47,11": 45.541,
      "47,12": 48.754,
      "47,13": 46.573,
      "47,14": 41.231,
      "47,15": 56.08,
      "47,16": 55.973,
      "47,17": 10.0,
      "47,18": 57.628,
      "47,19": 34.059,
      "47,20": 53.038,
      "47,21": 48.374,
      "47,22": 24.515,
      "47,23": 38.079,
      "47,24": 60.415,
      "47,25": 1.414,
      "47,26": 33.242,
      "47,27": 17.464,
      "47,28": 12.083,
      "47,29": 55.471,
      "47,30": 55.66,
      "47,31": 40.804,
      "47,32": 63.64,
      "47,33": 60.208,
      "47,34": 12.0,
      "47,35": 39.459,
      "47,36": 49.041,
      "47,37": 31.257,
      "47,38": 48.6,
      "47,39": 52.773,
      "47,40": 35.693,
      "47,41": 20.809,
      "47,42": 46.69,
      "47,43": 42.012,
      "47,44": 32.558,
      "47,45": 36.346,
      "47,46": 26.401,
      "47,47": 0.0,
      "47,48": 52.086,
      "47,49": 36.235,
      "47,50": 69.527,
      "47,1000": 1.271,
      "47,1001": 49.612,
      "47,1002": 58.627,
      "47,1003": 39.681,
      "47,1004": 2.422,
      "47,1005": 45.435,
      "47,1006": 65.024,
      "47,1007": 34.971,
      "47,1008": 30.208,
      "47,1009": 8.235,
      "47,1010": 49.697,
      "47,1011": 18.418,
      "47,1012": 47.809,
      "47,1013": 14.812,
      "47,1014": 30.661,
      "47,1015": 35.005,
      "47,1016": 46.856,
      "47,1017": 51.908,
      "47,1018": 24.162,
      "47,1019": 7.459,
      "48,1": 47.074,
      "48,2": 53.038,
      "48,3": 37.121,
      "48,4": 77.026,
      "48,5": 70.342,
      "48,6": 37.577,
      "48,7": 61.008,
      "48,8": 99.005,
      "48,9": 95.131,
      "48,10": 79.057,
      "48,11": 15.0,
      "48,12": 83.726,
      "48,13": 97.417,
      "48,14": 50.21,
      "48,15": 26.306,
      "48,16": 15.033,
      "48,17": 62.073,
      "48,18": 97.509,
      "48,19": 77.492,
      "48,20": 36.77,
      "48,21": 85.422,
      "48,22": 76.026,
      "48,23": 24.839,
      "48,24": 26.019,
      "48,25": 51.157,
      "48,26": 77.885,
      "48,27": 35.693,
      "48,28": 57.559,
      "48,29": 23.195,
      "48,30": 14.036,
      "48,31": 87.556,
      "48,32": 105.702,
      "48,33": 37.656,
      "48,34": 64.07,
      "48,35": 68.264,
      "48,36": 31.305,
      "48,37": 21.024,
      "48,38": 94.641,
      "48,39": 6.0,
      "48,40": 87.092,
      "48,41": 42.379,
      "48,42": 89.538,
      "48,43": 83.57,
      "48,44": 64.846,
      "48,45": 16.125,
      "48,46": 74.148,
      "48,47": 52.086,
      "48,48": 0.0,
      "48,49": 45.453,
      "48,50": 42.012,
      "48,1000": 51.541,
      "48,1001": 92.626,
      "48,1002": 9.447,
      "48,1003": 88.784,
      "48,1004": 49.912,
      "48,1005": 25.375,
      "48,1006": 37.833,
      "48,1007": 83.901,
      "48,1008": 76.632,
      "48,1009": 56.01,
      "48,1010": 96.822,
      "48,1011": 68.627,
      "48,1012": 4.773,
      "48,1013": 55.936,
      "48,1014": 28.531,
      "48,1015": 17.084,
      "48,1016": 87.553,
      "48,1017": 1.783,
      "48,1018": 66.225,
      "48,1019": 58.949,
      "49,1": 21.954,
      "49,2": 35.847,
      "49,3": 12.166,
      "49,4": 52.202,
      "49,5": 34.785,
      "49,6": 19.647,
      "49,7": 39.699,
      "49,8": 56.886,
      "49,9": 68.964,
      "49,10": 40.2,
      "49,11": 31.064,
      "49,12": 39.85,
      "49,13": 65.146,
      "49,14": 6.083,
      "49,15": 31.145,
      "49,16": 38.626,
      "49,17": 41.869,
      "49,18": 54.571,
      "49,19": 39.459,
      "49,20": 21.587,
      "49,21": 42.202,
      "49,22": 49.092,
      "49,23": 20.616,
      "49,24": 36.125,
      "49,25": 36.674,
      "49,26": 40.792,
      "49,27": 36.0,
      "49,28": 30.414,
      "49,29": 32.558,
      "49,30": 39.0,
      "49,31": 50.636,
      "49,32": 63.348,
      "49,33": 29.12,
      "49,34": 43.186,
      "49,35": 24.042,
      "49,36": 21.024,
      "49,37": 31.305,
      "49,38": 56.08,
      "49,39": 41.881,
      "49,40": 57.697,
      "49,41": 15.811,
      "49,42": 49.041,
      "49,43": 43.012,
      "49,44": 23.0,
      "49,45": 33.015,
      "49,46": 41.231,
      "49,47": 36.235,
      "49,48": 45.453,
      "49,49": 0.0,
      "49,50": 38.275,
      "49,1000": 34.97,
      "49,1001": 51.893,
      "49,1002": 45.974,
      "49,1003": 54.526,
      "49,1004": 36.073,
      "49,1005": 22.657,
      "49,1006": 34.759,
      "49,1007": 50.225,
      "49,1008": 41.561,
      "49,1009": 32.335,
      "49,1010": 59.08,
      "49,1011": 40.942,
      "49,1012": 40.935,
      "49,1013": 26.334,
      "49,1014": 18.908,
      "49,1015": 34.739,
      "49,1016": 45.931,
      "49,1017": 46.53,
      "49,1018": 30.676,
      "49,1019": 37.831,
      "50,1": 56.859,
      "50,2": 69.656,
      "50,3": 42.202,
      "50,4": 89.554,
      "50,5": 73.055,
      "50,6": 18.788,
      "50,7": 75.452,
      "50,8": 92.049,
      "50,9": 106.888,
      "50,10": 77.878,
      "50,11": 31.623,
      "50,12": 74.007,
      "50,13": 103.407,
      "50,14": 37.656,
      "50,15": 16.763,
      "50,16": 27.0,
      "50,17": 77.421,
      "50,18": 89.0,
      "50,19": 77.369,
      "50,20": 17.0,
      "50,21": 77.058,
      "50,22": 86.77,
      "50,23": 32.802,
      "50,24": 16.0,
      "50,25": 69.426,
      "50,26": 78.848,
      "50,27": 60.803,
      "50,28": 67.231,
      "50,29": 19.416,
      "50,30": 28.0,
      "50,31": 88.527,
      "50,32": 98.0,
      "50,33": 9.434,
      "50,34": 79.057,
      "50,35": 59.304,
      "50,36": 20.518,
      "50,37": 46.53,
      "50,38": 93.381,
      "50,39": 36.014,
      "50,40": 95.854,
      "50,41": 49.649,
      "50,42": 85.709,
      "50,43": 79.906,
      "50,44": 60.415,
      "50,45": 43.463,
      "50,46": 79.48,
      "50,47": 69.527,
      "50,48": 42.012,
      "50,49": 38.275,
      "50,50": 0.0,
      "50,1000": 68.397,
      "50,1001": 88.309,
      "50,1002": 34.757,
      "50,1003": 92.732,
      "50,1004": 68.445,
      "50,1005": 25.299,
      "50,1006": 4.819,
      "50,1007": 88.487,
      "50,1008": 79.811,
      "50,1009": 68.221,
      "50,1010": 96.581,
      "50,1011": 78.501,
      "50,1012": 40.589,
      "50,1013": 63.501,
      "50,1014": 39.653,
      "50,1015": 46.413,
      "50,1016": 82.034,
      "50,1017": 43.794,
      "50,1018": 68.949,
      "50,1019": 73.361,
      "1000,1": 13.048,
      "1000,2": 1.501,
      "1000,3": 26.402,
      "1000,4": 25.492,
      "1000,5": 25.79,
      "1000,6": 50.443,
      "1000,7": 9.527,
      "1000,8": 56.802,
      "1000,9": 43.607,
      "1000,10": 35.659,
      "1000,11": 44.702,
      "1000,12": 47.918,
      "1000,13": 46.762,
      "1000,14": 39.96,
      "1000,15": 55.059,
      "1000,16": 55.14,
      "1000,17": 10.556,
      "1000,18": 57.031,
      "1000,19": 33.5,
      "1000,20": 51.871,
      "1000,21": 47.61,
      "1000,22": 24.788,
      "1000,23": 37.077,
      "1000,24": 59.427,
      "1000,25": 2.231,
      "1000,26": 32.756,
      "1000,27": 17.3,
      "1000,28": 11.258,
      "1000,29": 54.494,
      "1000,30": 54.843,
      "1000,31": 40.531,
      "1000,32": 63.169,
      "1000,33": 59.065,
      "1000,34": 12.546,
      "1000,35": 38.381,
      "1000,36": 47.923,
      "1000,37": 30.64,
      "1000,38": 48.311,
      "1000,39": 52.1,
      "1000,40": 35.966,
      "1000,41": 19.57,
      "1000,42": 46.188,
      "1000,43": 41.41,
      "1000,44": 31.504,
      "1000,45": 35.715,
      "1000,46": 26.11,
      "1000,47": 1.271,
      "1000,48": 51.541,
      "1000,49": 34.97,
      "1000,50": 68.397,
      "1000,1000": 0.0,
      "1000,1001": 49.134,
      "1000,1002": 57.942,
      "1000,1003": 39.623,
      "1000,1004": 2.725,
      "1000,1005": 44.398,
      "1000,1006": 63.909,
      "1000,1007": 34.871,
      "1000,1008": 29.831,
      "1000,1009": 7.493,
      "1000,1010": 49.494,
      "1000,1011": 18.368,
      "1000,1012": 47.217,
      "1000,1013": 13.768,
      "1000,1014": 29.652,
      "1000,1015": 34.459,
      "1000,1016": 46.242,
      "1000,1017": 51.403,
      "1000,1018": 23.395,
      "1000,1019": 7.597,
      "1001,1": 46.518,
      "1001,2": 48.198,
      "1001,3": 55.938,
      "1001,4": 35.741,
      "1001,5": 23.653,
      "1001,6": 70.802,
      "1001,7": 42.175,
      "1001,8": 7.852,
      "1001,9": 38.269,
      "1001,10": 13.901,
      "1001,11": 80.408,
      "1001,12": 16.259,
      "1001,13": 25.511,
      "1001,14": 50.851,
      "1001,15": 83.028,
      "1001,16": 89.486,
      "1001,17": 43.193,
      "1001,18": 9.701,
      "1001,19": 15.853,
      "1001,20": 72.801,
      "1001,21": 12.655,
      "1001,22": 32.233,
      "1001,23": 69.733,
      "1001,24": 88.014,
      "1001,25": 51.026,
      "1001,26": 16.378,
      "1001,27": 65.053,
      "1001,28": 38.487,
      "1001,29": 84.306,
      "1001,30": 89.686,
      "1001,31": 11.515,
      "1001,32": 14.036,
      "1001,33": 79.917,
      "1001,34": 42.078,
      "1001,35": 29.01,
      "1001,36": 72.914,
      "1001,37": 72.882,
      "1001,38": 7.644,
      "1001,39": 90.703,
      "1001,40": 28.377,
      "1001,41": 50.263,
      "1001,42": 3.105,
      "1001,43": 9.099,
      "1001,44": 28.98,
      "1001,45": 77.026,
      "1001,46": 23.778,
      "1001,47": 49.612,
      "1001,48": 92.626,
      "1001,49": 51.893,
      "1001,50": 88.309,
      "1001,1000": 49.134,
      "1001,1001": 0.0,
      "1001,1002": 95.724,
      "1001,1003": 17.828,
      "1001,1004": 51.846,
      "1001,1005": 73.943,
      "1001,1006": 85.58,
      "1001,1007": 19.224,
      "1001,1008": 19.625,
      "1001,1009": 41.79,
      "1001,1010": 11.112,
      "1001,1011": 32.679,
      "1001,1012": 87.854,
      "1001,1013": 38.221,
      "1001,1014": 64.301,
      "1001,1015": 77.187,
      "1001,1016": 6.364,
      "1001,1017": 93.164,
      "1001,1018": 27.125,
      "1001,1019": 42.914,
      "1002,1": 51.726,
      "1002,2": 59.441,
      "1002,3": 39.804,
      "1002,4": 83.219,
      "1002,5": 74.404,
      "1002,6": 34.186,
      "1002,7": 67.215,
      "1002,8": 101.653,
      "1002,9": 101.448,
      "1002,10": 82.532,
      "1002,11": 15.326,
      "1002,12": 85.481,
      "1002,13": 102.678,
      "1002,14": 49.893,
      "1002,15": 20.823,
      "1002,16": 8.785,
      "1002,17": 68.487,
      "1002,18": 99.8,
      "1002,19": 81.151,
      "1002,20": 32.955,
      "1002,21": 87.511,
      "1002,22": 81.857,
      "1002,23": 26.073,
      "1002,24": 19.024,
      "1002,25": 57.835,
      "1002,26": 81.78,
      "1002,27": 43.195,
      "1002,28": 62.67,
      "1002,29": 17.708,
      "1002,30": 7.955,
      "1002,31": 91.659,
      "1002,32": 108.291,
      "1002,33": 32.052,
      "1002,34": 70.463,
      "1002,35": 69.732,
      "1002,36": 28.367,
      "1002,37": 27.463,
      "1002,38": 98.411,
      "1002,39": 5.878,
      "1002,40": 92.736,
      "1002,41": 46.12,
      "1002,42": 92.682,
      "1002,43": 86.626,
      "1002,44": 67.182,
      "1002,45": 22.369,
      "1002,46": 78.856,
      "1002,47": 58.627,
      "1002,48": 9.447,
      "1002,49": 45.974,
      "1002,50": 34.757,
      "1002,1000": 57.942,
      "1002,1001": 95.724,
      "1002,1002": 0.0,
      "1002,1003": 93.512,
      "1002,1004": 56.601,
      "1002,1005": 23.765,
      "1002,1006": 31.059,
      "1002,1007": 88.668,
      "1002,1008": 80.957,
      "1002,1009": 61.601,
      "1002,1010": 100.836,
      "1002,1011": 74.119,
      "1002,1012": 11.636,
      "1002,1013": 60.529,
      "1002,1014": 31.672,
      "1002,1015": 24.206,
      "1002,1016": 90.3,
      "1002,1017": 10.979,
      "1002,1018": 70.162,
      "1002,1019": 65.09,
      "1003,1": 41.831,
      "1003,2": 38.344,
      "1003,3": 54.635,
      "1003,4": 19.657,
      "1003,5": 19.88,
      "1003,6": 74.172,
      "1003,7": 30.803,
      "1003,8": 24.672,
      "1003,9": 20.925,
      "1003,10": 16.345,
      "1003,11": 78.623,
      "1003,12": 30.189,
      "1003,13": 10.941,
      "1003,14": 55.481,
      "1003,15": 84.359,
      "1003,16": 88.582,
      "1003,17": 31.031,
      "1003,18": 27.437,
      "1003,19": 15.987,
      "1003,20": 76.104,
      "1003,21": 27.04,
      "1003,22": 17.089,
      "1003,23": 68.596,
      "1003,24": 89.316,
      "1003,25": 41.023,
      "1003,26": 14.131,
      "1003,27": 56.832,
      "1003,28": 31.278,
      "1003,29": 85.0,
      "1003,30": 88.583,
      "1003,31": 6.932,
      "1003,32": 29.006,
      "1003,33": 83.646,
      "1003,34": 29.405,
      "1003,35": 36.53,
      "1003,36": 74.797,
      "1003,37": 67.949,
      "1003,38": 11.934,
      "1003,39": 87.999,
      "1003,40": 10.582,
      "1003,41": 47.584,
      "1003,42": 16.82,
      "1003,43": 18.166,
      "1003,44": 32.915,
      "1003,45": 72.676,
      "1003,46": 14.665,
      "1003,47": 39.681,
      "1003,48": 88.784,
      "1003,49": 54.526,
      "1003,50": 92.732,
      "1003,1000": 39.623,
      "1003,1001": 17.828,
      "1003,1002": 93.512,
      "1003,1003": 0.0,
      "1003,1004": 42.097,
      "1003,1005": 74.233,
      "1003,1006": 89.283,
      "1003,1007": 4.888,
      "1003,1008": 13.034,
      "1003,1009": 33.36,
      "1003,1010": 11.162,
      "1003,1011": 21.266,
      "1003,1012": 84.129,
      "1003,1013": 32.989,
      "1003,1014": 62.011,
      "1003,1015": 72.159,
      "1003,1016": 20.705,
      "1003,1017": 88.989,
      "1003,1018": 24.157,
      "1003,1019": 32.256,
      "1004,1": 14.414,
      "1004,2": 3.766,
      "1004,3": 26.801,
      "1004,4": 27.309,
      "1004,5": 28.515,
      "1004,6": 50.766,
      "1004,7": 11.614,
      "1004,8": 59.52,
      "1004,9": 45.255,
      "1004,10": 38.384,
      "1004,11": 43.755,
      "1004,12": 50.573,
      "1004,13": 48.976,
      "1004,14": 41.276,
      "1004,15": 54.67,
      "1004,16": 54.168,
      "1004,17": 12.276,
      "1004,18": 59.756,
      "1004,19": 36.224,
      "1004,20": 52.118,
      "1004,21": 50.303,
      "1004,22": 26.901,
      "1004,23": 36.643,
      "1004,24": 58.918,
      "1004,25": 1.245,
      "1004,26": 35.468,
      "1004,27": 15.077,
      "1004,28": 13.944,
      "1004,29": 53.952,
      "1004,30": 53.827,
      "1004,31": 43.16,
      "1004,32": 65.879,
      "1004,33": 59.181,
      "1004,34": 14.271,
      "1004,35": 40.758,
      "1004,36": 47.93,
      "1004,37": 29.175,
      "1004,38": 50.95,
      "1004,39": 50.736,
      "1004,40": 38.074,
      "1004,41": 20.401,
      "1004,42": 48.904,
      "1004,43": 44.135,
      "1004,44": 33.932,
      "1004,45": 34.272,
      "1004,46": 28.746,
      "1004,47": 2.422,
      "1004,48": 49.912,
      "1004,49": 36.073,
      "1004,50": 68.445,
      "1004,1000": 2.725,
      "1004,1001": 51.846,
      "1004,1002": 56.601,
      "1004,1003": 42.097,
      "1004,1004": 0.0,
      "1004,1005": 44.079,
      "1004,1006": 63.888,
      "1004,1007": 37.38,
      "1004,1008": 32.508,
      "1004,1009": 10.211,
      "1004,1010": 52.081,
      "1004,1011": 20.832,
      "1004,1012": 45.684,
      "1004,1013": 16.253,
      "1004,1014": 29.26,
      "1004,1015": 32.844,
      "1004,1016": 48.966,
      "1004,1017": 49.698,
      "1004,1018": 26.092,
      "1004,1019": 9.881,
      "1005,1": 34.283,
      "1005,2": 45.763,
      "1005,3": 19.828,
      "1005,4": 67.516,
      "1005,5": 54.443,
      "1005,6": 12.832,
      "1005,7": 52.363,
      "1005,8": 79.319,
      "1005,9": 85.51,
      "1005,10": 61.445,
      "1005,11": 10.477,
      "1005,12": 62.497,
      "1005,13": 84.253,
      "1005,14": 26.161,
      "1005,15": 10.708,
      "1005,16": 15.991,
      "1005,17": 54.14,
      "1005,18": 77.144,
      "1005,19": 60.36,
      "1005,20": 12.622,
      "1005,21": 64.78,
      "1005,22": 65.282,
      "1005,23": 7.581,
      "1005,24": 15.372,
      "1005,25": 45.149,
      "1005,26": 61.339,
      "1005,27": 35.509,
      "1005,28": 45.357,
      "1005,29": 10.784,
      "1005,30": 16.416,
      "1005,31": 71.339,
      "1005,32": 85.85,
      "1005,33": 16.979,
      "1005,34": 55.933,
      "1005,35": 46.685,
      "1005,36": 6.626,
      "1005,37": 21.664,
      "1005,38": 77.476,
      "1005,39": 20.574,
      "1005,40": 75.37,
      "1005,41": 27.353,
      "1005,42": 70.992,
      "1005,43": 64.912,
      "1005,44": 44.988,
      "1005,45": 19.523,
      "1005,46": 59.927,
      "1005,47": 45.435,
      "1005,48": 25.375,
      "1005,49": 22.657,
      "1005,50": 25.299,
      "1005,1000": 44.398,
      "1005,1001": 73.943,
      "1005,1002": 23.765,
      "1005,1003": 74.233,
      "1005,1004": 44.079,
      "1005,1005": 0.0,
      "1005,1006": 20.512,
      "1005,1007": 69.574,
      "1005,1008": 61.256,
      "1005,1009": 45.519,
      "1005,1010": 80.225,
      "1005,1011": 57.056,
      "1005,1012": 21.672,
      "1005,1013": 42.226,
      "1005,1014": 14.825,
      "1005,1015": 22.395,
      "1005,1016": 68.18,
      "1005,1017": 26.838,
      "1005,1018": 50.134,
      "1005,1019": 50.203,
      "1006,1": 52.579,
      "1006,2": 65.19,
      "1006,3": 37.856,
      "1006,4": 85.461,
      "1006,5": 69.506,
      "1006,6": 15.112,
      "1006,7": 71.141,
      "1006,8": 89.632,
      "1006,9": 102.946,
      "1006,10": 74.73,
      "1006,11": 26.911,
      "1006,12": 71.695,
      "1006,13": 99.869,
      "1006,14": 34.738,
      "1006,15": 12.096,
      "1006,16": 22.931,
      "1006,17": 73.079,
      "1006,18": 86.725,
      "1006,19": 74.118,
      "1006,20": 13.186,
      "1006,21": 74.634,
      "1006,22": 82.77,
      "1006,23": 28.039,
      "1006,24": 12.045,
      "1006,25": 64.888,
      "1006,26": 75.518,
      "1006,27": 56.021,
      "1006,28": 63.107,
      "1006,29": 14.897,
      "1006,30": 23.926,
      "1006,31": 85.296,
      "1006,32": 95.716,
      "1006,33": 5.682,
      "1006,34": 74.747,
      "1006,35": 56.653,
      "1006,36": 15.986,
      "1006,37": 41.712,
      "1006,38": 90.399,
      "1006,39": 31.838,
      "1006,40": 92.057,
      "1006,41": 45.372,
      "1006,42": 82.904,
      "1006,43": 77.021,
      "1006,44": 57.305,
      "1006,45": 38.679,
      "1006,46": 75.799,
      "1006,47": 65.024,
      "1006,48": 37.833,
      "1006,49": 34.759,
      "1006,50": 4.819,
      "1006,1000": 63.909,
      "1006,1001": 85.58,
      "1006,1002": 31.059,
      "1006,1003": 89.283,
      "1006,1004": 63.888,
      "1006,1005": 20.512,
      "1006,1006": 0.0,
      "1006,1007": 84.951,
      "1006,1008": 76.305,
      "1006,1009": 63.961,
      "1006,1010": 93.53,
      "1006,1011": 74.488,
      "1006,1012": 36.161,
      "1006,1013": 59.461,
      "1006,1014": 34.966,
      "1006,1015": 41.63,
      "1006,1016": 79.362,
      "1006,1017": 39.608,
      "1006,1018": 65.344,
      "1006,1019": 69.034,
      "1007,1": 36.969,
      "1007,2": 33.619,
      "1007,3": 49.914,
      "1007,4": 16.614,
      "1007,5": 15.445,
      "1007,6": 69.85,
      "1007,7": 26.217,
      "1007,8": 26.721,
      "1007,9": 22.221,
      "1007,10": 13.836,
      "1007,11": 73.813,
      "1007,12": 29.127,
      "1007,13": 14.921,
      "1007,14": 51.47,
      "1007,15": 79.77,
      "1007,16": 83.808,
      "1007,17": 26.59,
      "1007,18": 28.902,
      "1007,19": 12.896,
      "1007,20": 71.765,
      "1007,21": 26.322,
      "1007,22": 13.418,
      "1007,23": 63.842,
      "1007,24": 84.713,
      "1007,25": 36.328,
      "1007,26": 10.77,
      "1007,27": 52.034,
      "1007,28": 26.391,
      "1007,29": 80.351,
      "1007,30": 83.797,
      "1007,31": 7.75,
      "1007,32": 31.781,
      "1007,33": 79.335,
      "1007,34": 25.057,
      "1007,35": 33.436,
      "1007,36": 70.293,
      "1007,37": 63.061,
      "1007,38": 14.893,
      "1007,39": 83.141,
      "1007,40": 10.453,
      "1007,41": 42.798,
      "1007,42": 17.472,
      "1007,43": 17.116,
      "1007,44": 29.205,
      "1007,45": 67.791,
      "1007,46": 9.813,
      "1007,47": 34.971,
      "1007,48": 83.901,
      "1007,49": 50.225,
      "1007,50": 88.487,
      "1007,1000": 34.871,
      "1007,1001": 19.224,
      "1007,1002": 88.668,
      "1007,1003": 4.888,
      "1007,1004": 37.38,
      "1007,1005": 69.574,
      "1007,1006": 84.951,
      "1007,1007": 0.0,
      "1007,1008": 8.695,
      "1007,1009": 28.506,
      "1007,1010": 15.063,
      "1007,1011": 16.564,
      "1007,1012": 79.249,
      "1007,1013": 28.139,
      "1007,1014": 57.203,
      "1007,1015": 67.271,
      "1007,1016": 20.618,
      "1007,1017": 84.103,
      "1007,1018": 19.645,
      "1007,1019": 27.581,
      "1008,1": 29.562,
      "1008,2": 28.797,
      "1008,3": 41.752,
      "1008,4": 19.004,
      "1008,5": 6.846,
      "1008,6": 61.198,
      "1008,7": 22.55,
      "1008,8": 27.453,
      "1008,9": 29.805,
      "1008,10": 8.133,
      "1008,11": 65.932,
      "1008,12": 24.193,
      "1008,13": 23.599,
      "1008,14": 42.783,
      "1008,15": 71.339,
      "1008,16": 75.775,
      "1008,17": 23.611,
      "1008,18": 28.407,
      "1008,19": 6.175,
      "1008,20": 63.121,
      "1008,21": 22.164,
      "1008,22": 14.923,
      "1008,23": 55.759,
      "1008,24": 76.3,
      "1008,25": 31.619,
      "1008,26": 4.136,
      "1008,27": 46.369,
      "1008,28": 19.845,
      "1008,29": 72.013,
      "1008,30": 75.806,
      "1008,31": 11.049,
      "1008,32": 33.562,
      "1008,33": 70.679,
      "1008,34": 22.593,
      "1008,35": 25.427,
      "1008,36": 61.763,
      "1008,37": 56.046,
      "1008,38": 18.637,
      "1008,39": 75.538,
      "1008,40": 17.767,
      "1008,41": 34.87,
      "1008,42": 16.887,
      "1008,43": 13.525,
      "1008,44": 20.682,
      "1008,45": 60.605,
      "1008,46": 4.249,
      "1008,47": 30.208,
      "1008,48": 76.632,
      "1008,49": 41.561,
      "1008,50": 79.811,
      "1008,1000": 29.831,
      "1008,1001": 19.625,
      "1008,1002": 80.957,
      "1008,1003": 13.034,
      "1008,1004": 32.508,
      "1008,1005": 61.256,
      "1008,1006": 76.305,
      "1008,1007": 8.695,
      "1008,1008": 0.0,
      "1008,1009": 22.714,
      "1008,1010": 20.317,
      "1008,1011": 13.151,
      "1008,1012": 71.924,
      "1008,1013": 20.716,
      "1008,1014": 49.337,
      "1008,1015": 60.317,
      "1008,1016": 18.188,
      "1008,1017": 76.941,
      "1008,1018": 11.134,
      "1008,1019": 23.327,
      "1009,1": 11.386,
      "1009,2": 6.897,
      "1009,3": 26.147,
      "1009,4": 22.067,
      "1009,5": 18.328,
      "1009,6": 49.708,
      "1009,7": 7.38,
      "1009,8": 49.408,
      "1009,9": 40.239,
      "1009,10": 28.215,
      "1009,11": 47.478,
      "1009,12": 40.527,
      "1009,13": 41.424,
      "1009,14": 36.571,
      "1009,15": 56.211,
      "1009,16": 57.848,
      "1009,17": 9.534,
      "1009,18": 49.563,
      "1009,19": 26.075,
      "1009,20": 51.325,
      "1009,21": 40.144,
      "1009,22": 20.283,
      "1009,23": 38.664,
      "1009,24": 60.853,
      "1009,25": 9.596,
      "1009,26": 25.424,
      "1009,27": 23.703,
      "1009,28": 3.893,
      "1009,29": 56.063,
      "1009,30": 57.671,
      "1009,31": 33.607,
      "1009,32": 55.824,
      "1009,33": 58.791,
      "1009,34": 10.932,
      "1009,35": 31.791,
      "1009,36": 48.1,
      "1009,37": 35.0,
      "1009,38": 41.322,
      "1009,39": 55.872,
      "1009,40": 31.155,
      "1009,41": 18.589,
      "1009,42": 38.814,
      "1009,43": 33.944,
      "1009,44": 24.812,
      "1009,45": 39.911,
      "1009,46": 19.242,
      "1009,47": 8.235,
      "1009,48": 56.01,
      "1009,49": 32.335,
      "1009,50": 68.221,
      "1009,1000": 7.493,
      "1009,1001": 41.79,
      "1009,1002": 61.601,
      "1009,1003": 33.36,
      "1009,1004": 10.211,
      "1009,1005": 45.519,
      "1009,1006": 63.961,
      "1009,1007": 28.506,
      "1009,1008": 22.714,
      "1009,1009": 0.0,
      "1009,1010": 42.724,
      "1009,1011": 12.617,
      "1009,1012": 51.477,
      "1009,1013": 7.361,
      "1009,1014": 31.366,
      "1009,1015": 39.104,
      "1009,1016": 38.768,
      "1009,1017": 56.069,
      "1009,1018": 15.929,
      "1009,1019": 5.522,
      "1010,1": 49.801,
      "1010,2": 48.317,
      "1010,3": 61.23,
      "1010,4": 30.816,
      "1010,5": 26.494,
      "1010,6": 78.516,
      "1010,7": 41.162,
      "1010,8": 15.464,
      "1010,9": 28.824,
      "1010,10": 18.889,
      "1010,11": 85.668,
      "1010,12": 27.029,
      "1010,13": 15.132,
      "1010,14": 58.925,
      "1010,15": 89.878,
      "1010,16": 95.258,
      "1010,17": 41.627,
      "1010,18": 19.116,
      "1010,19": 19.867,
      "1010,20": 80.5,
      "1010,21": 23.445,
      "1010,22": 28.177,
      "1010,23": 75.256,
      "1010,24": 94.876,
      "1010,25": 51.079,
      "1010,26": 19.058,
      "1010,27": 66.424,
      "1010,28": 40.096,
      "1010,29": 90.855,
      "1010,30": 95.356,
      "1010,31": 9.284,
      "1010,32": 18.469,
      "1010,33": 87.848,
      "1010,34": 40.117,
      "1010,35": 37.87,
      "1010,36": 79.961,
      "1010,37": 76.336,
      "1010,38": 3.601,
      "1010,39": 95.524,
      "1010,40": 20.953,
      "1010,41": 54.736,
      "1010,42": 12.201,
      "1010,43": 17.02,
      "1010,44": 36.226,
      "1010,45": 80.846,
      "1010,46": 23.482,
      "1010,47": 49.697,
      "1010,48": 96.822,
      "1010,49": 59.08,
      "1010,50": 96.581,
      "1010,1000": 49.494,
      "1010,1001": 11.112,
      "1010,1002": 100.836,
      "1010,1003": 11.162,
      "1010,1004": 52.081,
      "1010,1005": 80.225,
      "1010,1006": 93.53,
      "1010,1007": 15.063,
      "1010,1008": 20.317,
      "1010,1009": 42.724,
      "1010,1010": 0.0,
      "1010,1011": 31.423,
      "1010,1012": 92.094,
      "1010,1013": 40.993,
      "1010,1014": 69.164,
      "1010,1015": 80.614,
      "1010,1016": 16.728,
      "1010,1017": 97.173,
      "1010,1018": 30.686,
      "1010,1019": 42.408,
      "1011,1": 22.896,
      "1011,2": 17.079,
      "1011,3": 37.286,
      "1011,4": 11.297,
      "1011,5": 12.661,
      "1011,6": 59.739,
      "1011,7": 9.762,
      "1011,8": 40.528,
      "1011,9": 28.524,
      "1011,10": 20.727,
      "1011,11": 59.789,
      "1011,12": 35.947,
      "1011,13": 28.815,
      "1011,14": 43.935,
      "1011,15": 67.648,
      "1011,16": 70.086,
      "1011,17": 10.528,
      "1011,18": 41.557,
      "1011,19": 18.515,
      "1011,20": 61.501,
      "1011,21": 34.498,
      "1011,22": 8.287,
      "1011,23": 50.553,
      "1011,24": 72.425,
      "1011,25": 19.767,
      "1011,26": 16.981,
      "1011,27": 35.626,
      "1011,28": 11.722,
      "1011,29": 67.758,
      "1011,30": 69.955,
      "1011,31": 22.804,
      "1011,32": 46.481,
      "1011,33": 69.095,
      "1011,34": 9.443,
      "1011,35": 32.376,
      "1011,36": 58.945,
      "1011,37": 47.617,
      "1011,38": 30.603,
      "1011,39": 68.421,
      "1011,40": 18.631,
      "1011,41": 29.706,
      "1011,42": 30.015,
      "1011,43": 26.451,
      "1011,44": 25.847,
      "1011,45": 52.525,
      "1011,46": 8.921,
      "1011,47": 18.418,
      "1011,48": 68.627,
      "1011,49": 40.942,
      "1011,50": 78.501,
      "1011,1000": 18.368,
      "1011,1001": 32.679,
      "1011,1002": 74.119,
      "1011,1003": 21.266,
      "1011,1004": 20.832,
      "1011,1005": 57.056,
      "1011,1006": 74.488,
      "1011,1007": 16.564,
      "1011,1008": 13.151,
      "1011,1009": 12.617,
      "1011,1010": 31.423,
      "1011,1011": 0.0,
      "1011,1012": 64.088,
      "1011,1013": 15.033,
      "1011,1014": 43.426,
      "1011,1015": 51.712,
      "1011,1016": 31.226,
      "1011,1017": 68.683,
      "1011,1018": 13.644,
      "1011,1019": 11.018,
      "1012,1": 42.376,
      "1012,2": 48.717,
      "1012,3": 32.373,
      "1012,4": 72.668,
      "1012,5": 65.608,
      "1012,6": 34.238,
      "1012,7": 56.638,
      "1012,8": 94.234,
      "1012,9": 90.823,
      "1012,10": 74.293,
      "1012,11": 11.199,
      "1012,12": 78.996,
      "1012,13": 92.851,
      "1012,14": 45.831,
      "1012,15": 24.228,
      "1012,16": 14.295,
      "1012,17": 57.768,
      "1012,18": 92.747,
      "1012,19": 72.735,
      "1012,20": 33.615,
      "1012,21": 80.672,
      "1012,22": 71.57,
      "1012,23": 20.362,
      "1012,24": 24.825,
      "1012,25": 46.927,
      "1012,26": 73.142,
      "1012,27": 31.805,
      "1012,28": 52.937,
      "1012,29": 21.272,
      "1012,30": 13.376,
      "1012,31": 82.832,
      "1012,32": 100.932,
      "1012,33": 35.318,
      "1012,34": 59.761,
      "1012,35": 63.569,
      "1012,36": 27.916,
      "1012,37": 16.588,
      "1012,38": 89.895,
      "1012,39": 6.121,
      "1012,40": 82.6,
      "1012,41": 37.612,
      "1012,42": 84.767,
      "1012,43": 78.798,
      "1012,44": 60.091,
      "1012,45": 11.572,
      "1012,46": 69.483,
      "1012,47": 47.809,
      "1012,48": 4.773,
      "1012,49": 40.935,
      "1012,50": 40.589,
      "1012,1000": 47.217,
      "1012,1001": 87.854,
      "1012,1002": 11.636,
      "1012,1003": 84.129,
      "1012,1004": 45.684,
      "1012,1005": 21.672,
      "1012,1006": 36.161,
      "1012,1007": 79.249,
      "1012,1008": 71.924,
      "1012,1009": 51.477,
      "1012,1010": 92.094,
      "1012,1011": 64.088,
      "1012,1012": 0.0,
      "1012,1013": 51.241,
      "1012,1014": 23.775,
      "1012,1015": 12.887,
      "1012,1016": 82.782,
      "1012,1017": 5.598,
      "1012,1018": 61.48,
      "1012,1019": 54.557,
      "1013,1": 8.867,
      "1013,2": 13.668,
      "1013,3": 22.4,
      "1013,4": 26.073,
      "1013,5": 14.752,
      "1013,6": 44.761,
      "1013,7": 14.037,
      "1013,8": 45.482,
      "1013,9": 43.542,
      "1013,10": 24.323,
      "1013,11": 45.731,
      "1013,12": 34.651,
      "1013,13": 42.348,
      "1013,14": 30.005,
      "1013,15": 52.745,
      "1013,16": 55.835,
      "1013,17": 16.273,
      "1013,18": 45.096,
      "1013,19": 22.412,
      "1013,20": 46.503,
      "1013,21": 34.721,
      "1013,22": 23.32,
      "1013,23": 36.004,
      "1013,24": 57.57,
      "1013,25": 15.999,
      "1013,26": 22.362,
      "1013,27": 27.086,
      "1013,28": 4.221,
      "1013,29": 52.979,
      "1013,30": 55.782,
      "1013,31": 31.709,
      "1013,32": 52.092,
      "1013,33": 54.087,
      "1013,34": 17.259,
      "1013,35": 24.66,
      "1013,36": 43.923,
      "1013,37": 35.343,
      "1013,38": 39.04,
      "1013,39": 55.01,
      "1013,40": 33.144,
      "1013,41": 14.93,
      "1013,42": 35.139,
      "1013,43": 29.693,
      "1013,44": 17.746,
      "1013,45": 39.891,
      "1013,46": 18.328,
      "1013,47": 14.812,
      "1013,48": 55.936,
      "1013,49": 26.334,
      "1013,50": 63.501,
      "1013,1000": 13.768,
      "1013,1001": 38.221,
      "1013,1002": 60.529,
      "1013,1003": 32.989,
      "1013,1004": 16.253,
      "1013,1005": 42.226,
      "1013,1006": 59.461,
      "1013,1007": 28.139,
      "1013,1008": 20.716,
      "1013,1009": 7.361,
      "1013,1010": 40.993,
      "1013,1011": 15.033,
      "1013,1012": 51.241,
      "1013,1013": 0.0,
      "1013,1014": 29.146,
      "1013,1015": 39.623,
      "1013,1016": 34.336,
      "1013,1017": 56.228,
      "1013,1018": 11.122,
      "1013,1019": 12.573,
      "1014,1": 20.563,
      "1014,2": 31.043,
      "1014,3": 8.612,
      "1014,4": 53.431,
      "1014,5": 42.742,
      "1014,6": 23.461,
      "1014,7": 37.919,
      "1014,8": 70.529,
      "1014,9": 71.594,
      "1014,10": 50.933,
      "1014,11": 16.612,
      "1014,12": 55.259,
      "1014,13": 71.489,
      "1014,14": 24.702,
      "1014,15": 25.423,
      "1014,16": 26.71,
      "1014,17": 39.599,
      "1014,18": 68.981,
      "1014,19": 49.505,
      "1014,20": 24.347,
      "1014,21": 56.898,
      "1014,22": 51.5,
      "1014,23": 7.428,
      "1014,24": 29.788,
      "1014,25": 30.339,
      "1014,26": 50.109,
      "1014,27": 21.732,
      "1014,28": 31.733,
      "1014,29": 24.882,
      "1014,30": 26.638,
      "1014,31": 59.991,
      "1014,32": 77.217,
      "1014,33": 30.686,
      "1014,34": 41.445,
      "1014,35": 39.969,
      "1014,36": 19.285,
      "1014,37": 12.474,
      "1014,38": 66.759,
      "1014,39": 26.437,
      "1014,40": 61.998,
      "1014,41": 14.467,
      "1014,42": 61.231,
      "1014,43": 55.214,
      "1014,44": 36.316,
      "1014,45": 14.297,
      "1014,46": 47.401,
      "1014,47": 30.661,
      "1014,48": 28.531,
      "1014,49": 18.908,
      "1014,50": 39.653,
      "1014,1000": 29.652,
      "1014,1001": 64.301,
      "1014,1002": 31.672,
      "1014,1003": 62.011,
      "1014,1004": 29.26,
      "1014,1005": 14.825,
      "1014,1006": 34.966,
      "1014,1007": 57.203,
      "1014,1008": 49.337,
      "1014,1009": 31.366,
      "1014,1010": 69.164,
      "1014,1011": 43.426,
      "1014,1012": 23.775,
      "1014,1013": 29.146,
      "1014,1014": 0.0,
      "1014,1015": 15.841,
      "1014,1016": 59.092,
      "1014,1017": 29.268,
      "1014,1018": 38.492,
      "1014,1019": 35.748,
      "1015,1": 30.866,
      "1015,2": 35.955,
      "1015,3": 23.854,
      "1015,4": 59.946,
      "1015,5": 54.275,
      "1015,6": 34.768,
      "1015,7": 43.934,
      "1015,8": 83.942,
      "1015,9": 78.049,
      "1015,10": 63.399,
      "1015,11": 15.089,
      "1015,12": 69.798,
      "1015,13": 80.526,
      "1015,14": 40.456,
      "1015,15": 29.773,
      "1015,16": 23.97,
      "1015,17": 44.989,
      "1015,18": 82.82,
      "1015,19": 61.689,
      "1015,20": 34.887,
      "1015,21": 71.087,
      "1015,22": 58.997,
      "1015,23": 16.863,
      "1015,24": 32.281,
      "1015,25": 34.088,
      "1015,26": 61.882,
      "1015,27": 18.99,
      "1015,28": 40.881,
      "1015,29": 27.605,
      "1015,30": 23.325,
      "1015,31": 71.331,
      "1015,32": 90.648,
      "1015,33": 39.071,
      "1015,34": 46.987,
      "1015,35": 55.011,
      "1015,36": 28.915,
      "1015,37": 4.306,
      "1015,38": 78.624,
      "1015,39": 18.354,
      "1015,40": 70.094,
      "1015,41": 27.268,
      "1015,42": 74.082,
      "1015,43": 68.253,
      "1015,44": 50.603,
      "1015,45": 2.952,
      "1015,46": 57.599,
      "1015,47": 35.005,
      "1015,48": 17.084,
      "1015,49": 34.739,
      "1015,50": 46.413,
      "1015,1000": 34.459,
      "1015,1001": 77.187,
      "1015,1002": 24.206,
      "1015,1003": 72.159,
      "1015,1004": 32.844,
      "1015,1005": 22.395,
      "1015,1006": 41.63,
      "1015,1007": 67.271,
      "1015,1008": 60.317,
      "1015,1009": 39.104,
      "1015,1010": 80.614,
      "1015,1011": 51.712,
      "1015,1012": 12.887,
      "1015,1013": 39.623,
      "1015,1014": 15.841,
      "1015,1015": 0.0,
      "1015,1016": 72.497,
      "1015,1017": 16.992,
      "1015,1018": 50.308,
      "1015,1019": 41.884,
      "1016,1": 42.193,
      "1016,2": 45.453,
      "1016,3": 50.617,
      "1016,4": 36.26,
      "1016,5": 20.456,
      "1016,6": 64.65,
      "1016,7": 40.205,
      "1016,8": 11.462,
      "1016,9": 41.628,
      "1016,10": 10.691,
      "1016,11": 74.974,
      "1016,12": 10.318,
      "1016,13": 29.935,
      "1016,14": 44.66,
      "1016,15": 77.074,
      "1016,16": 83.849,
      "1016,17": 41.502,
      "1016,18": 10.808,
      "1016,19": 12.919,
      "1016,20": 66.65,
      "1016,21": 6.773,
      "1016,22": 32.411,
      "1016,23": 64.245,
      "1016,24": 82.048,
      "1016,25": 48.259,
      "1016,26": 14.244,
      "1016,27": 61.41,
      "1016,28": 35.203,
      "1016,29": 78.436,
      "1016,30": 84.082,
      "1016,31": 13.781,
      "1016,32": 18.169,
      "1016,33": 73.708,
      "1016,34": 40.643,
      "1016,35": 22.732,
      "1016,36": 66.926,
      "1016,37": 68.207,
      "1016,38": 13.128,
      "1016,39": 85.397,
      "1016,40": 30.739,
      "1016,41": 45.337,
      "1016,42": 4.548,
      "1016,43": 4.862,
      "1016,44": 23.212,
      "1016,45": 72.17,
      "1016,46": 22.421,
      "1016,47": 46.856,
      "1016,48": 87.553,
      "1016,49": 45.931,
      "1016,50": 82.034,
      "1016,1000": 46.242,
      "1016,1001": 6.364,
      "1016,1002": 90.3,
      "1016,1003": 20.705,
      "1016,1004": 48.966,
      "1016,1005": 68.18,
      "1016,1006": 79.362,
      "1016,1007": 20.618,
      "1016,1008": 18.188,
      "1016,1009": 38.768,
      "1016,1010": 16.728,
      "1016,1011": 31.226,
      "1016,1012": 82.782,
      "1016,1013": 34.336,
      "1016,1014": 59.092,
      "1016,1015": 72.497,
      "1016,1016": 0.0,
      "1016,1017": 88.165,
      "1016,1018": 23.268,
      "1016,1019": 40.641,
      "1017,1": 47.382,
      "1017,2": 52.894,
      "1017,3": 37.877,
      "1017,4": 76.894,
      "1017,5": 70.717,
      "1017,6": 39.151,
      "1017,7": 60.899,
      "1017,8": 99.623,
      "1017,9": 94.949,
      "1017,10": 79.538,
      "1017,11": 16.401,
      "1017,12": 84.52,
      "1017,13": 97.492,
      "1017,14": 51.392,
      "1017,15": 28.052,
      "1017,16": 16.816,
      "1017,17": 61.906,
      "1017,18": 98.194,
      "1017,19": 77.938,
      "1017,20": 38.383,
      "1017,21": 86.156,
      "1017,22": 75.988,
      "1017,23": 25.944,
      "1017,24": 27.802,
      "1017,25": 50.942,
      "1017,26": 78.282,
      "1017,27": 35.282,
      "1017,28": 57.728,
      "1017,29": 24.948,
      "1017,30": 15.819,
      "1017,31": 87.897,
      "1017,32": 106.326,
      "1017,33": 39.388,
      "1017,34": 63.906,
      "1017,35": 69.131,
      "1017,36": 32.862,
      "1017,37": 21.078,
      "1017,38": 95.044,
      "1017,39": 7.781,
      "1017,40": 87.086,
      "1017,41": 42.902,
      "1017,42": 90.071,
      "1017,43": 84.128,
      "1017,44": 65.568,
      "1017,45": 16.337,
      "1017,46": 74.377,
      "1017,47": 51.908,
      "1017,48": 1.783,
      "1017,49": 46.53,
      "1017,50": 43.794,
      "1017,1000": 51.403,
      "1017,1001": 93.164,
      "1017,1002": 10.979,
      "1017,1003": 88.989,
      "1017,1004": 49.698,
      "1017,1005": 26.838,
      "1017,1006": 39.608,
      "1017,1007": 84.103,
      "1017,1008": 76.941,
      "1017,1009": 56.069,
      "1017,1010": 97.173,
      "1017,1011": 68.683,
      "1017,1012": 5.598,
      "1017,1013": 56.228,
      "1017,1014": 29.268,
      "1017,1015": 16.992,
      "1017,1016": 88.165,
      "1017,1017": 0.0,
      "1017,1018": 66.634,
      "1017,1019": 58.861,
      "1018,1": 19.476,
      "1018,2": 22.806,
      "1018,3": 30.712,
      "1018,4": 24.144,
      "1018,5": 4.311,
      "1018,6": 50.257,
      "1018,7": 19.333,
      "1018,8": 34.361,
      "1018,9": 38.935,
      "1018,10": 13.224,
      "1018,11": 55.035,
      "1018,12": 24.678,
      "1018,13": 34.542,
      "1018,14": 32.417,
      "1018,15": 60.206,
      "1018,16": 64.767,
      "1018,17": 21.213,
      "1018,18": 34.059,
      "1018,19": 11.395,
      "1018,20": 52.159,
      "1018,21": 24.217,
      "1018,22": 20.302,
      "1018,23": 44.742,
      "1018,24": 65.166,
      "1018,25": 25.524,
      "1018,26": 11.664,
      "1018,27": 38.15,
      "1018,28": 12.153,
      "1018,29": 60.885,
      "1018,30": 64.824,
      "1018,31": 21.499,
      "1018,32": 40.97,
      "1018,33": 59.744,
      "1018,34": 21.147,
      "1018,35": 18.74,
      "1018,36": 50.659,
      "1018,37": 46.005,
      "1018,38": 28.416,
      "1018,39": 64.839,
      "1018,40": 27.265,
      "1018,41": 24.051,
      "1018,42": 24.036,
      "1018,43": 18.582,
      "1018,44": 12.256,
      "1018,45": 50.35,
      "1018,46": 10.636,
      "1018,47": 24.162,
      "1018,48": 66.225,
      "1018,49": 30.676,
      "1018,50": 68.949,
      "1018,1000": 23.395,
      "1018,1001": 27.125,
      "1018,1002": 70.162,
      "1018,1003": 24.157,
      "1018,1004": 26.092,
      "1018,1005": 50.134,
      "1018,1006": 65.344,
      "1018,1007": 19.645,
      "1018,1008": 11.134,
      "1018,1009": 15.929,
      "1018,1010": 30.686,
      "1018,1011": 13.644,
      "1018,1012": 61.48,
      "1018,1013": 11.122,
      "1018,1014": 38.492,
      "1018,1015": 50.308,
      "1018,1016": 23.268,
      "1018,1017": 66.634,
      "1018,1018": 0.0,
      "1018,1019": 19.031,
      "1019,1": 16.536,
      "1019,2": 6.19,
      "1019,3": 31.179,
      "1019,4": 18.133,
      "1019,5": 20.404,
      "1019,6": 54.955,
      "1019,7": 2.173,
      "1019,8": 50.702,
      "1019,9": 36.359,
      "1019,10": 29.951,
      "1019,11": 51.437,
      "1019,12": 43.612,
      "1019,13": 39.169,
      "1019,14": 42.092,
      "1019,15": 60.912,
      "1019,16": 61.866,
      "1019,17": 4.084,
      "1019,18": 51.304,
      "1019,19": 27.727,
      "1019,20": 56.532,
      "1019,21": 42.827,
      "1019,22": 17.205,
      "1019,23": 43.14,
      "1019,24": 65.458,
      "1019,25": 8.773,
      "1019,26": 26.66,
      "1019,27": 24.871,
      "1019,28": 8.512,
      "1019,29": 60.6,
      "1019,30": 61.627,
      "1019,31": 33.642,
      "1019,32": 56.886,
      "1019,33": 63.944,
      "1019,34": 5.735,
      "1019,35": 36.298,
      "1019,36": 53.108,
      "1019,37": 37.97,
      "1019,38": 41.452,
      "1019,39": 59.282,
      "1019,40": 28.378,
      "1019,41": 23.73,
      "1019,42": 40.08,
      "1019,43": 35.78,
      "1019,44": 29.301,
      "1019,45": 43.009,
      "1019,46": 19.338,
      "1019,47": 7.459,
      "1019,48": 58.949,
      "1019,49": 37.831,
      "1019,50": 73.361,
      "1019,1000": 7.597,
      "1019,1001": 42.914,
      "1019,1002": 65.09,
      "1019,1003": 32.256,
      "1019,1004": 9.881,
      "1019,1005": 50.203,
      "1019,1006": 69.034,
      "1019,1007": 27.581,
      "1019,1008": 23.327,
      "1019,1009": 5.522,
      "1019,1010": 42.408,
      "1019,1011": 11.018,
      "1019,1012": 54.557,
      "1019,1013": 12.573,
      "1019,1014": 35.748,
      "1019,1015": 41.884,
      "1019,1016": 40.641,
      "1019,1017": 58.861,
      "1019,1018": 19.031,
      "1019,1019": 0.0
    }
  },
  "service": {
    "nominal": {
      "1": 14.0,
      "2": 14.0,
      "3": 14.0,
      "4": 14.0,
      "5": 14.0,
      "6": 14.0,
      "7": 14.0,
      "8": 14.0,
      "9": 14.0,
      "10": 14.0,
      "11": 14.0,
      "12": 14.0,
      "13": 14.0,
      "14": 14.0,
      "15": 14.0,
      "16": 14.0,
      "17": 14.0,
      "18": 14.0,
      "19": 14.0,
      "20": 14.0,
      "21": 14.0,
      "22": 14.0,
      "23": 14.0,
      "24": 14.0,
      "25": 14.0,
      "26": 14.0,
      "27": 14.0,
      "28": 14.0,
      "29": 14.0,
      "30": 14.0,
      "31": 14.0,
      "32": 14.0,
      "33": 14.0,
      "34": 14.0,
      "35": 14.0,
      "36": 14.0,
      "37": 14.0,
      "38": 14.0,
      "39": 14.0,
      "40": 14.0,
      "41": 14.0,
      "42": 14.0,
      "43": 14.0,
      "44": 14.0,
      "45": 14.0,
      "46": 14.0,
      "47": 14.0,
      "48": 14.0,
      "49": 14.0,
      "50": 14.0
    }
  },
  "scenarios": [
    {
      "id": "s1",
      "service_durations": {
        "1": 15.232,
        "2": 16.345,
        "3": 13.085,
        "4": 10.99,
        "5": 12.406,
        "6": 15.599,
        "7": 10.359,
        "8": 13.807,
        "9": 11.919,
        "10": 13.725,
        "11": 13.487,
        "12": 14.033,
        "13": 17.153,
        "14": 14.883,
        "15": 16.801,
        "16": 13.703,
        "17": 12.993,
        "18": 14.796,
        "19": 13.916,
        "20": 14.336,
        "21": 11.406,
        "22": 14.975,
        "23": 12.826,
        "24": 13.552,
        "25": 11.944,
        "26": 12.907,
        "27": 13.68,
        "28": 16.627,
        "29": 14.217,
        "30": 13.94,
        "31": 14.817,
        "32": 10.195,
        "33": 16.604,
        "34": 11.738,
        "35": 14.922,
        "36": 11.634,
        "37": 11.949,
        "38": 13.168,
        "39": 17.981,
        "40": 15.465,
        "41": 12.731,
        "42": 13.403,
        "43": 11.582,
        "44": 13.928,
        "45": 12.797,
        "46": 15.516,
        "47": 11.15,
        "48": 13.297,
        "49": 12.232,
        "50": 12.491
      }
    },
    {
      "id": "s2",
      "service_durations": {
        "1": 15.493,
        "2": 14.265,
        "3": 15.229,
        "4": 16.497,
        "5": 16.414,
        "6": 11.119,
        "7": 15.128,
        "8": 10.301,
        "9": 13.866,
        "10": 18.03,
        "11": 13.593,
        "12": 13.225,
        "13": 14.358,
        "14": 14.038,
        "15": 14.056,
        "16": 12.41,
        "17": 16.272,
        "18": 15.867,
        "19": 13.554,
        "20": 14.661,
        "21": 15.383,
        "22": 16.168,
        "23": 14.825,
        "24": 15.46,
        "25": 13.447,
        "26": 11.754,
        "27": 12.96,
        "28": 16.14,
        "29": 16.053,
        "30": 14.307,
        "31": 12.808,
        "32": 14.646,
        "33": 17.493,
        "34": 16.844,
        "35": 12.565,
        "36": 13.909,
        "37": 10.951,
        "38": 11.615,
        "39": 14.395,
        "40": 14.052,
        "41": 16.026,
        "42": 16.662,
        "43": 15.753,
        "44": 16.772,
        "45": 12.851,
        "46": 11.629,
        "47": 15.051,
        "48": 14.749,
        "49": 11.581,
        "50": 14.509
      }
    },
    {
      "id": "s3",
      "service_durations": {
        "1": 16.994,
        "2": 11.828,
        "3": 15.687,
        "4": 12.717,
        "5": 16.673,
        "6": 15.649,
        "7": 14.639,
        "8": 13.141,
        "9": 12.559,
        "10": 17.895,
        "11": 12.16,
        "12": 13.916,
        "13": 11.823,
        "14": 13.996,
        "15": 14.274,
        "16": 14.422,
        "17": 13.597,
        "18": 16.271,
        "19": 12.835,
        "20": 13.449,
        "21": 17.821,
        "22": 9.815,
        "23": 13.287,
        "24": 11.599,
        "25": 12.604,
        "26": 15.345,
        "27": 14.863,
        "28": 17.024,
        "29": 12.741,
        "30": 14.564,
        "31": 16.464,
        "32": 15.897,
        "33": 13.294,
        "34": 16.369,
        "35": 12.06,
        "36": 17.787,
        "37": 14.324,
        "38": 13.763,
        "39": 14.569,
        "40": 15.783,
        "41": 17.657,
        "42": 13.702,
        "43": 13.228,
        "44": 15.232,
        "45": 12.17,
        "46": 10.438,
        "47": 15.755,
        "48": 13.203,
        "49": 16.366,
        "50": 11.844
      }
    },
    {
      "id": "s4",
      "service_durations": {
        "1": 14.594,
        "2": 14.325,
        "3": 17.361,
        "4": 15.104,
        "5": 14.65,
        "6": 15.232,
        "7": 13.229,
        "8": 14.163,
        "9": 11.161,
        "10": 15.09,
        "11": 12.309,
        "12": 13.064,
        "13": 15.469,
        "14": 15.923,
        "15": 11.885,
        "16": 12.758,
        "17": 15.754,
        "18": 15.998,
        "19": 14.471,
        "20": 14.362,
        "21": 17.774,
        "22": 15.869,
        "23": 14.935,
        "24": 10.169,
        "25": 12.431,
        "26": 16.442,
        "27": 14.408,
        "28": 11.994,
        "29": 12.651,
        "30": 13.357,
        "31": 15.441,
        "32": 14.813,
        "33": 16.094,
        "34": 12.284,
        "35": 16.071,
        "36": 12.946,
        "37": 13.372,
        "38": 17.64,
        "39": 14.156,
        "40": 13.707,
        "41": 13.558,
        "42": 13.192,
        "43": 17.275,
        "44": 16.891,
        "45": 15.506,
        "46": 14.387,
        "47": 16.189,
        "48": 13.837,
        "49": 14.951,
        "50": 14.844
      }
    },
    {
      "id": "s5",
      "service_durations": {
        "1": 14.187,
        "2": 17.462,
        "3": 17.686,
        "4": 16.78,
        "5": 9.982,
        "6": 17.855,
        "7": 15.475,
        "8": 13.054,
        "9": 13.949,
        "10": 16.39,
        "11": 16.467,
        "12": 15.796,
        "13": 14.296,
        "14": 14.075,
        "15": 15.747,
        "16": 13.808,
        "17": 12.114,
        "18": 12.691,
        "19": 13.707,
        "20": 14.698,
        "21": 11.123,
        "22": 15.002,
        "23": 13.808,
        "24": 14.632,
        "25": 16.843,
        "26": 16.607,
        "27": 13.67,
        "28": 12.829,
        "29": 11.138,
        "30": 13.85,
        "31": 16.619,
        "32": 13.443,
        "33": 15.478,
        "34": 15.487,
        "35": 14.834,
        "36": 16.276,
        "37": 13.761,
        "38": 12.258,
        "39": 11.538,
        "40": 15.946,
        "41": 13.24,
        "42": 13.347,
        "43": 15.752,
        "44": 12.343,
        "45": 17.718,
        "46": 15.399,
        "47": 12.894,
        "48": 12.669,
        "49": 16.272,
        "50": 11.514
      }
    },
    {
      "id": "s6",
      "service_durations": {
        "1": 12.654,
        "2": 14.013,
        "3": 14.426,
        "4": 14.032,
        "5": 14.813,
        "6": 13.236,
        "7": 13.745,
        "8": 16.657,
        "9": 15.356,
        "10": 13.056,
        "11": 17.601,
        "12": 9.819,
        "13": 14.177,
        "14": 15.403,
        "15": 16.042,
        "16": 14.235,
        "17": 13.192,
        "18": 15.23,
        "19": 13.594,
        "20": 14.997,
        "21": 14.801,
        "22": 12.34,
        "23": 15.976,
        "24": 15.57,
        "25": 15.531,
        "26": 13.151,
        "27": 14.912,
        "28": 13.281,
        "29": 14.451,
        "30": 13.715,
        "31": 12.17,
        "32": 18.152,
        "33": 15.52,
        "34": 15.877,
        "35": 11.072,
        "36": 13.513,
        "37": 12.778,
        "38": 12.877,
        "39": 14.506,
        "40": 13.317,
        "41": 10.958,
        "42": 13.988,
        "43": 14.766,
        "44": 17.716,
        "45": 13.13,
        "46": 11.503,
        "47": 13.201,
        "48": 15.372,
        "49": 12.144,
        "50": 12.486
      }
    },
    {
      "id": "s7",
      "service_durations": {
        "1": 15.164,
        "2": 13.977,
        "3": 14.466,
        "4": 12.679,
        "5": 12.265,
        "6": 13.32,
        "7": 13.677,
        "8": 13.298,
        "9": 14.906,
        "10": 15.149,
        "11": 15.151,
        "12": 15.006,
        "13": 12.14,
        "14": 11.649,
        "15": 15.684,
        "16": 14.027,
        "17": 14.256,
        "18": 11.564,
        "19": 13.556,
        "20": 12.661,
        "21": 12.185,
        "22": 12.677,
        "23": 10.862,
        "24": 14.179,
        "25": 16.448,
        "26": 12.514,
        "27": 14.199,
        "28": 11.707,
        "29": 15.41,
        "30": 17.914,
        "31": 11.409,
        "32": 13.522,
        "33": 16.99,
        "34": 14.772,
        "35": 14.241,
        "36": 13.684,
        "37": 15.928,
        "38": 17.016,
        "39": 15.347,
        "40": 12.782,
        "41": 12.558,
        "42": 10.18,
        "43": 11.741,
        "44": 16.357,
        "45": 13.759,
        "46": 11.188,
        "47": 16.77,
        "48": 10.487,
        "49": 16.647,
        "50": 13.322
      }
    },
    {
      "id": "s8",
      "service_durations": {
        "1": 14.713,
        "2": 15.427,
        "3": 14.551,
        "4": 16.67,
        "5": 14.033,
        "6": 13.314,
        "7": 12.61,
        "8": 10.966,
        "9": 12.541,
        "10": 16.063,
        "11": 15.733,
        "12": 16.922,
        "13": 15.498,
        "14": 15.052,
        "15": 11.239,
        "16": 13.49,
        "17": 15.112,
        "18": 13.71,
        "19": 14.65,
        "20": 10.019,
        "21": 12.248,
        "22": 11.25,
        "23": 15.615,
        "24": 16.028,
        "25": 13.629,
        "26": 14.727,
        "27": 11.885,
        "28": 14.951,
        "29": 15.603,
        "30": 17.223,
        "31": 17.277,
        "32": 15.024,
        "33": 13.733,
        "34": 12.265,
        "35": 12.728,
        "36": 15.296,
        "37": 15.188,
        "38": 14.039,
        "39": 17.494,
        "40": 15.362,
        "41": 14.034,
        "42": 13.599,
        "43": 14.163,
        "44": 12.007,
        "45": 11.942,
        "46": 14.73,
        "47": 12.772,
        "48": 13.431,
        "49": 16.563,
        "50": 13.595
      }
    },
    {
      "id": "s9",
      "service_durations": {
        "1": 16.758,
        "2": 13.982,
        "3": 17.185,
        "4": 14.975,
        "5": 10.307,
        "6": 16.601,
        "7": 13.565,
        "8": 9.875,
        "9": 14.238,
        "10": 14.326,
        "11": 11.289,
        "12": 12.725,
        "13": 15.149,
        "14": 16.966,
        "15": 16.396,
        "16": 16.568,
        "17": 16.353,
        "18": 12.474,
        "19": 14.393,
        "20": 15.617,
        "21": 15.872,
        "22": 12.372,
        "23": 13.201,
        "24": 12.027,
        "25": 13.962,
        "26": 13.915,
        "27": 13.985,
        "28": 11.854,
        "29": 14.814,
        "30": 13.284,
        "31": 15.996,
        "32": 14.657,
        "33": 10.884,
        "34": 10.97,
        "35": 14.147,
        "36": 12.981,
        "37": 14.987,
        "38": 15.693,
        "39": 14.041,
        "40": 10.461,
        "41": 11.49,
        "42": 15.202,
        "43": 11.795,
        "44": 16.329,
        "45": 13.81,
        "46": 15.092,
        "47": 12.143,
        "48": 13.79,
        "49": 13.563,
        "50": 15.206
      }
    },
    {
      "id": "s10",
      "service_durations": {
        "1": 12.117,
        "2": 12.231,
        "3": 13.888,
        "4": 14.136,
        "5": 12.303,
        "6": 15.419,
        "7": 10.544,
        "8": 16.341,
        "9": 11.053,
        "10": 12.271,
        "11": 16.797,
        "12": 11.911,
        "13": 10.528,
        "14": 14.159,
        "15": 12.069,
        "16": 11.655,
        "17": 12.527,
        "18": 12.438,
        "19": 11.953,
        "20": 11.84,
        "21": 17.385,
        "22": 12.588,
        "23": 16.04,
        "24": 11.049,
        "25": 15.143,
        "26": 11.374,
        "27": 13.037,
        "28": 15.335,
        "29": 12.886,
        "30": 9.874,
        "31": 12.84,
        "32": 13.669,
        "33": 15.204,
        "34": 11.904,
        "35": 13.374,
        "36": 14.131,
        "37": 10.537,
        "38": 13.776,
        "39": 12.261,
        "40": 14.919,
        "41": 13.768,
        "42": 13.65,
        "43": 13.772,
        "44": 13.222,
        "45": 12.018,
        "46": 12.928,
        "47": 11.346,
        "48": 14.366,
        "49": 15.385,
        "50": 15.254
      }
    },
    {
      "id": "s11",
      "service_durations": {
        "1": 12.909,
        "2": 17.528,
        "3": 15.794,
        "4": 12.009,
        "5": 13.708,
        "6": 10.578,
        "7": 13.752,
        "8": 15.496,
        "9": 16.664,
        "10": 13.122,
        "11": 10.244,
        "12": 13.643,
        "13": 16.858,
        "14": 14.302,
        "15": 16.678,
        "16": 15.738,
        "17": 17.276,
        "18": 15.257,
        "19": 12.605,
        "20": 14.936,
        "21": 12.912,
        "22": 10.102,
        "23": 14.858,
        "24": 12.684,
        "25": 12.725,
        "26": 10.766,
        "27": 15.478,
        "28": 14.301,
        "29": 12.671,
        "30": 13.111,
        "31": 13.101,
        "32": 16.241,
        "33": 13.617,
        "34": 16.897,
        "35": 12.241,
        "36": 12.715,
        "37": 12.987,
        "38": 12.869,
        "39": 13.809,
        "40": 16.154,
        "41": 16.541,
        "42": 11.748,
        "43": 16.684,
        "44": 14.2,
        "45": 17.336,
        "46": 13.647,
        "47": 12.242,
        "48": 15.658,
        "49": 15.309,
        "50": 13.037
      }
    },
    {
      "id": "s12",
      "service_durations": {
        "1": 14.046,
        "2": 14.274,
        "3": 14.653,
        "4": 10.399,
        "5": 11.468,
        "6": 14.116,
        "7": 14.546,
        "8": 12.899,
        "9": 10.303,
        "10": 16.821,
        "11": 13.353,
        "12": 11.802,
        "13": 17.349,
        "14": 16.378,
        "15": 16.179,
        "16": 15.753,
        "17": 15.195,
        "18": 11.955,
        "19": 14.064,
        "20": 14.746,
        "21": 15.33,
        "22": 14.998,
        "23": 11.883,
        "24": 12.73,
        "25": 13.302,
        "26": 13.589,
        "27": 12.166,
        "28": 10.171,
        "29": 11.446,
        "30": 14.646,
        "31": 13.977,
        "32": 15.218,
        "33": 10.037,
        "34": 13.126,
        "35": 15.87,
        "36": 9.879,
        "37": 11.726,
        "38": 10.502,
        "39": 16.544,
        "40": 14.065,
        "41": 12.795,
        "42": 14.315,
        "43": 13.81,
        "44": 15.9,
        "45": 16.456,
        "46": 15.921,
        "47": 14.721,
        "48": 15.603,
        "49": 15.707,
        "50": 16.447
      }
    },
    {
      "id": "s13",
      "service_durations": {
        "1": 10.143,
        "2": 14.726,
        "3": 14.164,
        "4": 14.335,
        "5": 13.477,
        "6": 13.845,
        "7": 15.038,
        "8": 14.418,
        "9": 14.269,
        "10": 11.747,
        "11": 11.361,
        "12": 12.429,
        "13": 10.257,
        "14": 12.915,
        "15": 12.217,
        "16": 10.227,
        "17": 9.928,
        "18": 13.013,
        "19": 12.782,
        "20": 15.814,
        "21": 12.359,
        "22": 12.951,
        "23": 11.877,
        "24": 12.345,
        "25": 13.263,
        "26": 13.897,
        "27": 12.691,
        "28": 15.726,
        "29": 15.353,
        "30": 18.108,
        "31": 11.25,
        "32": 15.42,
        "33": 13.214,
        "34": 10.627,
        "35": 13.367,
        "36": 10.55,
        "37": 13.943,
        "38": 16.741,
        "39": 17.823,
        "40": 16.508,
        "41": 10.749,
        "42": 14.868,
        "43": 14.299,
        "44": 14.912,
        "45": 11.82,
        "46": 9.837,
        "47": 16.504,
        "48": 14.645,
        "49": 12.969,
        "50": 14.383
      }
    },
    {
      "id": "s14",
      "service_durations": {
        "1": 11.395,
        "2": 16.015,
        "3": 14.346,
        "4": 13.684,
        "5": 13.097,
        "6": 13.86,
        "7": 14.277,
        "8": 13.155,
        "9": 16.02,
        "10": 14.441,
        "11": 13.801,
        "12": 12.19,
        "13": 16.558,
        "14": 16.724,
        "15": 15.447,
        "16": 10.128,
        "17": 13.268,
        "18": 16.084,
        "19": 14.078,
        "20": 16.679,
        "21": 13.079,
        "22": 15.673,
        "23": 15.102,
        "24": 13.147,
        "25": 13.502,
        "26": 12.683,
        "27": 12.125,
        "28": 17.338,
        "29": 13.748,
        "30": 15.658,
        "31": 11.188,
        "32": 13.007,
        "33": 14.855,
        "34": 12.481,
        "35": 15.114,
        "36": 15.685,
        "37": 13.058,
        "38": 13.874,
        "39": 12.451,
        "40": 16.268,
        "41": 17.714,
        "42": 15.043,
        "43": 12.939,
        "44": 12.519,
        "45": 13.415,
        "46": 15.869,
        "47": 12.41,
        "48": 17.106,
        "49": 11.434,
        "50": 13.983
      }
    },
    {
      "id": "s15",
      "service_durations": {
        "1": 16.766,
        "2": 17.746,
        "3": 13.145,
        "4": 15.664,
        "5": 16.453,
        "6": 14.59,
        "7": 11.56,
        "8": 15.918,
        "9": 17.334,
        "10": 12.229,
        "11": 15.697,
        "12": 15.914,
        "13": 10.996,
        "14": 14.693,
        "15": 10.802,
        "16": 13.958,
        "17": 12.011,
        "18": 16.82,
        "19": 12.931,
        "20": 12.079,
        "21": 15.349,
        "22": 16.567,
        "23": 13.672,
        "24": 14.588,
        "25": 15.035,
        "26": 12.962,
        "27": 11.506,
        "28": 15.118,
        "29": 13.259,
        "30": 11.126,
        "31": 15.796,
        "32": 14.913,
        "33": 14.297,
        "34": 12.417,
        "35": 13.532,
        "36": 15.28,
        "37": 15.018,
        "38": 12.268,
        "39": 12.105,
        "40": 14.719,
        "41": 14.387,
        "42": 15.782,
        "43": 11.568,
        "44": 15.935,
        "45": 17.703,
        "46": 15.993,
        "47": 14.275,
        "48": 15.903,
        "49": 11.297,
        "50": 13.069
      }
    },
    {
      "id": "s16",
      "service_durations": {
        "1": 10.567,
        "2": 11.569,
        "3": 15.728,
        "4": 12.621,
        "5": 12.813,
        "6": 11.649,
        "7": 17.533,
        "8": 12.722,
        "9": 13.417,
        "10": 10.193,
        "11": 15.617,
        "12": 13.981,
        "13": 15.047,
        "14": 17.319,
        "15": 14.322,
        "16": 11.497,
        "17": 11.871,
        "18": 14.173,
        "19": 16.774,
        "20": 11.482,
        "21": 13.482,
        "22": 13.695,
        "23": 15.381,
        "24": 12.128,
        "25": 14.655,
        "26": 15.646,
        "27": 13.92,
        "28": 13.794,
        "29": 15.299,
        "30": 15.221,
        "31": 16.643,
        "32": 11.734,
        "33": 16.584,
        "34": 13.52,
        "35": 11.608,
        "36": 12.838,
        "37": 11.409,
        "38": 13.579,
        "39": 16.172,
        "40": 11.517,
        "41": 15.613,
        "42": 13.368,
        "43": 15.664,
        "44": 11.212,
        "45": 13.889,
        "46": 12.222,
        "47": 15.554,
        "48": 16.553,
        "49": 17.426,
        "50": 13.882
      }
    },
    {
      "id": "s17",
      "service_durations": {
        "1": 12.157,
        "2": 13.19,
        "3": 9.972,
        "4": 16.845,
        "5": 16.474,
        "6": 12.089,
        "7": 17.846,
        "8": 11.159,
        "9": 15.175,
        "10": 12.302,
        "11": 10.35,
        "12": 14.831,
        "13": 11.567,
        "14": 16.507,
        "15": 12.111,
        "16": 14.222,
        "17": 12.994,
        "18": 14.284,
        "19": 12.672,
        "20": 15.723,
        "21": 15.282,
        "22": 14.147,
        "23": 13.733,
        "24": 18.14,
        "25": 12.539,
        "26": 13.078,
        "27": 15.622,
        "28": 13.977,
        "29": 10.568,
        "30": 13.702,
        "31": 13.193,
        "32": 11.912,
        "33": 14.409,
        "34": 11.613,
        "35": 13.474,
        "36": 11.615,
        "37": 17.28,
        "38": 13.406,
        "39": 14.929,
        "40": 14.601,
        "41": 15.482,
        "42": 13.684,
        "43": 15.583,
        "44": 14.262,
        "45": 14.656,
        "46": 11.287,
        "47": 15.994,
        "48": 14.459,
        "49": 13.217,
        "50": 11.528
      }
    },
    {
      "id": "s18",
      "service_durations": {
        "1": 13.204,
        "2": 11.102,
        "3": 18.167,
        "4": 14.962,
        "5": 13.814,
        "6": 11.929,
        "7": 13.286,
        "8": 13.501,
        "9": 13.07,
        "10": 13.837,
        "11": 15.69,
        "12": 10.301,
        "13": 14.474,
        "14": 16.313,
        "15": 11.125,
        "16": 13.602,
        "17": 13.196,
        "18": 11.598,
        "19": 15.994,
        "20": 13.314,
        "21": 16.404,
        "22": 14.863,
        "23": 13.414,
        "24": 14.603,
        "25": 13.211,
        "26": 10.553,
        "27": 16.986,
        "28": 14.769,
        "29": 16.428,
        "30": 10.196,
        "31": 16.198,
        "32": 15.731,
        "33": 13.914,
        "34": 14.211,
        "35": 12.598,
        "36": 13.595,
        "37": 14.116,
        "38": 12.099,
        "39": 13.726,
        "40": 14.024,
        "41": 17.066,
        "42": 13.787,
        "43": 11.516,
        "44": 13.712,
        "45": 16.603,
        "46": 10.7,
        "47": 15.301,
        "48": 14.83,
        "49": 12.735,
        "50": 13.495
      }
    },
    {
      "id": "s19",
      "service_durations": {
        "1": 17.248,
        "2": 13.057,
        "3": 14.585,
        "4": 14.908,
        "5": 16.537,
        "6": 10.908,
        "7": 11.183,
        "8": 13.411,
        "9": 15.288,
        "10": 15.747,
        "11": 13.397,
        "12": 17.182,
        "13": 13.844,
        "14": 15.451,
        "15": 12.404,
        "16": 15.75,
        "17": 12.489,
        "18": 16.434,
        "19": 15.811,
        "20": 17.926,
        "21": 13.107,
        "22": 11.56,
        "23": 15.742,
        "24": 14.667,
        "25": 12.889,
        "26": 11.189,
        "27": 15.68,
        "28": 9.905,
        "29": 13.022,
        "30": 16.246,
        "31": 13.47,
        "32": 14.963,
        "33": 15.03,
        "34": 15.246,
        "35": 16.223,
        "36": 15.373,
        "37": 13.212,
        "38": 11.415,
        "39": 13.401,
        "40": 12.62,
        "41": 14.85,
        "42": 16.583,
        "43": 15.644,
        "44": 12.538,
        "45": 14.423,
        "46": 14.011,
        "47": 13.011,
        "48": 16.729,
        "49": 15.291,
        "50": 14.759
      }
    },
    {
      "id": "s20",
      "service_durations": {
        "1": 11.433,
        "2": 12.458,
        "3": 16.394,
        "4": 13.549,
        "5": 13.948,
        "6": 13.447,
        "7": 15.009,
        "8": 13.981,
        "9": 17.6,
        "10": 13.745,
        "11": 13.448,
        "12": 16.983,
        "13": 15.576,
        "14": 15.462,
        "15": 15.108,
        "16": 13.919,
        "17": 14.666,
        "18": 15.127,
        "19": 14.224,
        "20": 10.054,
        "21": 16.892,
        "22": 12.991,
        "23": 12.806,
        "24": 13.282,
        "25": 12.482,
        "26": 12.158,
        "27": 13.823,
        "28": 15.857,
        "29": 13.38,
        "30": 14.993,
        "31": 11.162,
        "32": 15.586,
        "33": 11.612,
        "34": 15.469,
        "35": 12.443,
        "36": 12.739,
        "37": 11.362,
        "38": 11.334,
        "39": 13.531,
        "40": 11.952,
        "41": 13.532,
        "42": 16.386,
        "43": 12.228,
        "44": 13.334,
        "45": 13.788,
        "46": 12.699,
        "47": 13.93,
        "48": 14.489,
        "49": 16.189,
        "50": 12.472
      }
    }
  ],
  "facility_opening_costs": {
    "1000": 1179,
    "1001": 982,
    "1002": 750,
    "1003": 1009,
    "1004": 1156,
    "1005": 1048,
    "1006": 802,
    "1007": 1071,
    "1008": 1165,
    "1009": 1220,
    "1010": 913,
    "1011": 1173,
    "1012": 871,
    "1013": 1250,
    "1014": 1150,
    "1015": 1001,
    "1016": 1043,
    "1017": 781,
    "1018": 1233,
    "1019": 1182
  },
  "facility_cost_metadata": {
    "method": "centrality_scaled",
    "base_cost": 1000,
    "heterogeneity": 0.25,
    "range": [
      750,
      1250
    ],
    "centrality_metric": "mean_travel_time_to_customers",
    "formula": "f_i = base_cost * (1 + heterogeneity * (2*a_i - 1)); a_i = (max_h dbar_h - dbar_i) / (max_h dbar_h - min_h dbar_h); dbar_i = mean_j d_ij over customers j; closer to customers (lower dbar_i) => higher a_i => higher f_i"
  }
}
