valid_solutions.json

{
  "Knuth": {
    "2": {
      "2": {
        "total_turns": 8,
        "max_turns": 3,
        "sample_games": [
          [
            "12"
          ]
        ],
        "desc": "Knuth 2p2c"
      },
      "3": {
        "total_turns": 21,
        "max_turns": 3,
        "sample_games": [
          [
            "12",
            "21"
          ]
        ],
        "desc": "Knuth 2p3c"
      },
      "4": {
        "total_turns": 45,
        "max_turns": 4,
        "sample_games": [
          [
            "12",
            "23"
          ]
        ],
        "desc": "Knuth 2p4c"
      },
      "5": {
        "total_turns": 84,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "23",
            "31"
          ]
        ],
        "desc": "Knuth 2p5c"
      },
      "6": {
        "total_turns": 132,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "34"
          ]
        ],
        "desc": "Knuth 2p6c"
      },
      "7": {
        "total_turns": 202,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "35",
            "63",
            "37"
          ]
        ],
        "desc": "Knuth 2p7c"
      },
      "8": {
        "total_turns": 285,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "43"
          ]
        ],
        "desc": "Knuth 2p8c"
      },
      "9": {
        "total_turns": 394,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "67",
            "48"
          ]
        ],
        "desc": "Knuth 2p9c"
      },
      "10": {
        "total_turns": 520,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "53"
          ]
        ],
        "desc": "Knuth 2p10c"
      },
      "11": {
        "total_turns": 676,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "57"
          ]
        ],
        "desc": "Knuth 2p11c"
      },
      "12": {
        "total_turns": 853,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "23",
            "45",
            "67",
            "61"
          ]
        ],
        "desc": "Knuth 2p12c"
      },
      "13": {
        "total_turns": 1064,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "57",
            "68",
            "66"
          ]
        ],
        "desc": "Knuth 2p13c"
      },
      "14": {
        "total_turns": 1300,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "89",
            "ab",
            "cd",
            "6d"
          ]
        ],
        "desc": "Knuth 2p14c"
      },
      "15": {
        "total_turns": 1574,
        "max_turns": 10,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "75"
          ]
        ],
        "desc": "Knuth 2p15c"
      }
    },
    "3": {
      "2": {
        "total_turns": 18,
        "max_turns": 3,
        "sample_games": [
          [
            "112",
            "122"
          ]
        ],
        "desc": "Knuth 3p2c"
      },
      "3": {
        "total_turns": 74,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "123",
            "213"
          ]
        ],
        "desc": "Knuth 3p3c"
      },
      "4": {
        "total_turns": 209,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "233"
          ]
        ],
        "desc": "Knuth 3p4c"
      },
      "5": {
        "total_turns": 455,
        "max_turns": 5,
        "sample_games": [
          [
            "112",
            "134",
            "415",
            "313"
          ]
        ],
        "desc": "Knuth 3p5c"
      },
      "6": {
        "total_turns": 874,
        "max_turns": 5,
        "sample_games": [
          [
            "123",
            "245",
            "236",
            "315",
            "341"
          ]
        ],
        "desc": "Knuth 3p6c"
      },
      "7": {
        "total_turns": 1514,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "234",
            "256",
            "367",
            "375"
          ]
        ],
        "desc": "Knuth 3p7c"
      },
      "8": {
        "total_turns": 2451,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "234",
            "354",
            "367",
            "438"
          ]
        ],
        "desc": "Knuth 3p8c"
      },
      "9": {
        "total_turns": 3778,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "234",
            "325",
            "416",
            "147",
            "481"
          ]
        ],
        "desc": "Knuth 3p9c"
      },
      "10": {
        "total_turns": 5505,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "245",
            "362",
            "431",
            "531"
          ]
        ],
        "desc": "Knuth 3p10c"
      },
      "11": {
        "total_turns": 7734,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "456",
            "567",
            "687",
            "195",
            "57a"
          ]
        ],
        "desc": "Knuth 3p11c"
      },
      "12": {
        "total_turns": 10591,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "234",
            "516",
            "557",
            "689",
            "616"
          ]
        ],
        "desc": "Knuth 3p12c"
      },
      "13": {
        "total_turns": 14133,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "456",
            "567",
            "589",
            "a6b",
            "6cc",
            "66d"
          ]
        ],
        "desc": "Knuth 3p13c"
      },
      "14": {
        "total_turns": 18408,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "456",
            "578",
            "695",
            "a6b",
            "1cd",
            "6d5"
          ]
        ],
        "desc": "Knuth 3p14c"
      },
      "15": {
        "total_turns": 23627,
        "max_turns": 9,
        "sample_games": [
          [
            "123",
            "456",
            "445",
            "789",
            "758"
          ]
        ],
        "desc": "Knuth 3p15c"
      }
    },
    "4": {
      "2": {
        "total_turns": 44,
        "max_turns": 4,
        "sample_games": [
          [
            "1112",
            "1221"
          ]
        ],
        "desc": "Knuth 4p2c"
      },
      "3": {
        "total_turns": 249,
        "max_turns": 4,
        "sample_games": [
          [
            "1123",
            "1232",
            "2132"
          ]
        ],
        "desc": "Knuth 4p3c"
      },
      "4": {
        "total_turns": 919,
        "max_turns": 4,
        "sample_games": [
          [
            "1123",
            "4412",
            "2334"
          ]
        ],
        "desc": "Knuth 4p4c"
      },
      "5": {
        "total_turns": 2521,
        "max_turns": 5,
        "sample_games": [
          [
            "1123",
            "2324",
            "1533",
            "3133"
          ]
        ],
        "desc": "Knuth 4p5c"
      },
      "6": {
        "total_turns": 5801,
        "max_turns": 5,
        "sample_games": [
          [
            "1122",
            "2344",
            "3235",
            "1336",
            "3415"
          ],
          [
            "1122",
            "1344",
            "3526",
            "1462",
            "3632"
          ]
        ],
        "desc": "Knuth 4p6c"
      },
      "7": {
        "total_turns": 11613,
        "max_turns": 6,
        "sample_games": [
          [
            "1234",
            "2353",
            "3315",
            "3556",
            "3157",
            "3751"
          ]
        ],
        "desc": "Knuth 4p7c"
      },
      "8": {
        "total_turns": 21230,
        "max_turns": 6,
        "sample_games": [
          [
            "1234",
            "2353",
            "4361",
            "1117",
            "4341",
            "4381"
          ]
        ],
        "desc": "Knuth 4p8c"
      },
      "9": {
        "total_turns": 36120,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2353",
            "4142",
            "1167",
            "4812"
          ]
        ],
        "desc": "Knuth 4p9c"
      },
      "10": {
        "total_turns": 58103,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2145",
            "4617",
            "4892",
            "351a",
            "5311"
          ]
        ],
        "desc": "Knuth 4p10c"
      },
      "11": {
        "total_turns": 89907,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2556",
            "3461",
            "4475",
            "1189",
            "57a1"
          ]
        ],
        "desc": "Knuth 4p11c"
      },
      "12": {
        "total_turns": 133078,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2156",
            "2345",
            "7168",
            "699a",
            "616a"
          ]
        ],
        "desc": "Knuth 4p12c"
      },
      "13": {
        "total_turns": 191995,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "569a",
            "5bac",
            "19db",
            "61aa",
            "66da"
          ]
        ],
        "desc": "Knuth 4p13c"
      },
      "14": {
        "total_turns": 268966,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "6797",
            "a78b",
            "55cd",
            "6c57",
            "6d57"
          ]
        ],
        "desc": "Knuth 4p14c"
      },
      "15": {
        "total_turns": 374416,
        "max_turns": 9,
        "sample_games": [
          [
            "1123",
            "4456",
            "5574",
            "5787",
            "7598",
            "7588"
          ]
        ],
        "desc": "Knuth 4p15c"
      }
    },
    "5": {
      "2": {
        "total_turns": 97,
        "max_turns": 4,
        "sample_games": [
          [
            "11122",
            "12212"
          ]
        ],
        "desc": "Knuth 5p2c"
      },
      "3": {
        "total_turns": 828,
        "max_turns": 4,
        "sample_games": [
          [
            "11122",
            "12212",
            "21321"
          ]
        ],
        "desc": "Knuth 5p3c"
      },
      "4": {
        "total_turns": 4078,
        "max_turns": 5,
        "sample_games": [
          [
            "11223",
            "23334",
            "21343",
            "23343"
          ]
        ],
        "desc": "Knuth 5p4c"
      },
      "5": {
        "total_turns": 13867,
        "max_turns": 6,
        "sample_games": [
          [
            "11223",
            "11442",
            "55135",
            "13333",
            "31333"
          ]
        ],
        "desc": "Knuth 5p5c"
      },
      "6": {
        "total_turns": 37925,
        "max_turns": 6,
        "sample_games": [
          [
            "11223",
            "23442",
            "44152",
            "34152"
          ]
        ],
        "desc": "Knuth 5p6c"
      },
      "7": {
        "total_turns": 87936,
        "max_turns": 7,
        "sample_games": [
          [
            "11223",
            "11445",
            "24264",
            "37157",
            "75153",
            "37513"
          ]
        ],
        "desc": "Knuth 5p7c"
      },
      "8": {
        "total_turns": 183775,
        "max_turns": 7,
        "sample_games": [
          [
            "11223",
            "11456",
            "45262",
            "78165",
            "13347",
            "43813"
          ]
        ],
        "desc": "Knuth 5p8c"
      },
      "9": {
        "total_turns": 351385,
        "max_turns": 8,
        "sample_games": [
          [
            "11234",
            "25643",
            "67315",
            "82461",
            "46182",
            "48126"
          ]
        ],
        "desc": "Knuth 5p9c"
      },
      "10": {
        "total_turns": 626555,
        "max_turns": 8,
        "sample_games": [
          [
            "12345",
            "26257",
            "44582",
            "51933",
            "47911",
            "3a921",
            "53111"
          ]
        ],
        "desc": "Knuth 5p10c"
      },
      "11": {
        "total_turns": 1055639,
        "max_turns": 9,
        "sample_games": [
          [
            "12345",
            "26257",
            "53683",
            "73519",
            "1a712",
            "537a1",
            "57a13"
          ]
        ],
        "desc": "Knuth 5p11c"
      },
      "12": {
        "total_turns": 1706673,
        "max_turns": 9,
        "sample_games": [
          [
            "12345",
            "26478",
            "4429a",
            "7592b",
            "ac632",
            "a38b2",
            "616a2"
          ]
        ],
        "desc": "Knuth 5p12c"
      },
      "13": {
        "total_turns": 2659004,
        "max_turns": 9,
        "sample_games": [
          [
            "12345",
            "66789",
            "6a66b",
            "77bc9",
            "119ad",
            "66da9"
          ]
        ],
        "desc": "Knuth 5p13c"
      },
      "14": {
        "total_turns": 4012280,
        "max_turns": 10,
        "sample_games": [
          [
            "12345",
            "6789a",
            "679bc",
            "6d7e7",
            "2bbd7",
            "1147b",
            "6d57b"
          ]
        ],
        "desc": "Knuth 5p14c"
      },
      "15": {
        "total_turns": 5856117,
        "max_turns": 10,
        "sample_games": [
          [
            "11234",
            "56789",
            "55669",
            "5787a",
            "88ab9",
            "7a6c8",
            "75888"
          ]
        ],
        "desc": "Knuth 5p15c"
      }
    },
    "6": {
      "2": {
        "total_turns": 225,
        "max_turns": 5,
        "sample_games": [
          [
            "111222",
            "122112",
            "122121"
          ]
        ],
        "desc": "Knuth 6p2c"
      },
      "3": {
        "total_turns": 2729,
        "max_turns": 5,
        "sample_games": [
          [
            "111223",
            "133221",
            "112121",
            "213211"
          ]
        ],
        "desc": "Knuth 6p3c"
      },
      "4": {
        "total_turns": 17935,
        "max_turns": 6,
        "sample_games": [
          [
            "112233",
            "121414",
            "442324",
            "233431"
          ]
        ],
        "desc": "Knuth 6p4c"
      },
      "5": {
        "total_turns": 76087,
        "max_turns": 6,
        "sample_games": [
          [
            "112233",
            "111344",
            "155245",
            "313333"
          ]
        ],
        "desc": "Knuth 6p5c"
      },
      "6": {
        "total_turns": 248146,
        "max_turns": 7,
        "sample_games": [
          [
            "111234",
            "223413",
            "154352",
            "335246",
            "431526",
            "341526"
          ]
        ],
        "desc": "Knuth 6p6c"
      },
      "7": {
        "total_turns": 672380,
        "max_turns": 8,
        "sample_games": [
          [
            "112234",
            "333565",
            "347735",
            "244637",
            "375137"
          ]
        ],
        "desc": "Knuth 6p7c"
      },
      "8": {
        "total_turns": 1595582,
        "max_turns": 8,
        "sample_games": [
          [
            "112234",
            "134431",
            "145643",
            "423737",
            "431836",
            "438135"
          ]
        ],
        "desc": "Knuth 6p8c"
      },
      "9": {
        "total_turns": 3416564,
        "max_turns": 9,
        "sample_games": [
          [
            "112234",
            "133414",
            "552263",
            "472156",
            "542188",
            "481266"
          ]
        ],
        "desc": "Knuth 6p9c"
      },
      "10": {
        "total_turns": 6737187,
        "max_turns": 9,
        "sample_games": [
          [
            "112345",
            "223464",
            "451557",
            "531138",
            "131191",
            "531111"
          ]
        ],
        "desc": "Knuth 6p10c"
      },
      "11": {
        "total_turns": 12500711,
        "max_turns": 9,
        "sample_games": [
          [
            "112234",
            "115637",
            "158195",
            "153a5b",
            "56a135",
            "56b135",
            "57a135"
          ]
        ],
        "desc": "Knuth 6p11c"
      },
      "12": {
        "total_turns": 21946721,
        "max_turns": 10,
        "sample_games": [
          [
            "112345",
            "162378",
            "419a27",
            "658a96",
            "114b2c",
            "616a26"
          ]
        ],
        "desc": "Knuth 6p12c"
      },
      "13": {
        "total_turns": 36803570,
        "max_turns": 10,
        "sample_games": [
          [
            "123456",
            "274899",
            "576a9b",
            "5ca39d",
            "57b3bc",
            "a6dad1",
            "66da91"
          ]
        ],
        "desc": "Knuth 6p13c"
      },
      "14": {
        "total_turns": 59547500,
        "max_turns": 10,
        "sample_games": [
          [
            "123456",
            "211267",
            "352772",
            "582571",
            "657924",
            "756ab2",
            "1611cd",
            "6c57b2",
            "6d57b2"
          ]
        ],
        "desc": "Knuth 6p14c"
      },
      "15": {
        "total_turns": 93090994,
        "max_turns": 11,
        "sample_games": [
          [
            "112345",
            "267889",
            "568483",
            "764867",
            "3693ab",
            "15c1dd",
            "55e887",
            "758888"
          ]
        ],
        "desc": "Knuth 6p15c"
      }
    },
    "7": {
      "2": {
        "total_turns": 512,
        "max_turns": 6,
        "sample_games": [
          [
            "1111222",
            "1112112",
            "1112121",
            "1221212"
          ]
        ],
        "desc": "Knuth 7p2c"
      },
      "3": {
        "total_turns": 9047,
        "max_turns": 5,
        "sample_games": [
          [
            "1112233",
            "1221223",
            "2133132",
            "2132111"
          ]
        ],
        "desc": "Knuth 7p3c"
      },
      "4": {
        "total_turns": 78639,
        "max_turns": 6,
        "sample_games": [
          [
            "1112233",
            "2233312",
            "1233434",
            "2334312"
          ]
        ],
        "desc": "Knuth 7p4c"
      },
      "5": {
        "total_turns": 417198,
        "max_turns": 7,
        "sample_games": [
          [
            "1112234",
            "1353331",
            "4333534",
            "3153535",
            "3133333"
          ]
        ],
        "desc": "Knuth 7p5c"
      },
      "6": {
        "total_turns": 1624868,
        "max_turns": 8,
        "sample_games": [
          [
            "1122334",
            "1255226",
            "1533255",
            "1456263",
            "3155264",
            "3415264"
          ]
        ],
        "desc": "Knuth 7p6c"
      },
      "7": {
        "total_turns": 5124234,
        "max_turns": 8,
        "sample_games": [
          [
            "1122334",
            "1444555",
            "2525336",
            "5751337",
            "1373357",
            "3751375"
          ]
        ],
        "desc": "Knuth 7p7c"
      },
      "8": {
        "total_turns": 13862218,
        "max_turns": 9,
        "sample_games": [
          [
            "1122345",
            "1667117",
            "2286245",
            "8811445",
            "3358851",
            "1185853",
            "3481354",
            "4381354"
          ]
        ],
        "desc": "Knuth 7p8c"
      },
      "9": {
        "total_turns": 33342028,
        "max_turns": 9,
        "sample_games": [
          [
            "1112234",
            "3352624",
            "1313425",
            "6612672",
            "1447782",
            "4712692",
            "4812662"
          ]
        ],
        "desc": "Knuth 7p9c"
      },
      "10": {
        "total_turns": 72907957,
        "max_turns": 10,
        "sample_games": [
          [
            "1122345",
            "6677112",
            "3534411",
            "8583161",
            "491a811",
            "5311111"
          ]
        ],
        "desc": "Knuth 7p10c"
      },
      "11": {
        "total_turns": 148124381,
        "max_turns": 10,
        "sample_games": [
          [
            "1122334",
            "1455664",
            "2166351",
            "5678343",
            "9a1634b",
            "5585389",
            "57a135a",
            "57a1357"
          ]
        ],
        "desc": "Knuth 7p11c"
      },
      "12": {
        "total_turns": 282859852,
        "max_turns": 11,
        "sample_games": [
          [
            "1122345",
            "1212678",
            "3627434",
            "7163857",
            "916a4b2",
            "799c42c",
            "26261b6",
            "616a264"
          ]
        ],
        "desc": "Knuth 7p12c"
      },
      "13": {
        "total_turns": 512992049,
        "max_turns": 11,
        "sample_games": [
          [
            "1123456",
            "7817899",
            "ab75678",
            "c6cd9d5",
            "55da9a2",
            "52ca2bb",
            "67163ab",
            "66da91b"
          ]
        ],
        "desc": "Knuth 7p13c"
      }
    },
    "8": {
      "2": {
        "total_turns": 1126,
        "max_turns": 6,
        "sample_games": [
          [
            "11111222",
            "11122122",
            "11211122",
            "12212122"
          ]
        ],
        "desc": "Knuth 8p2c"
      },
      "3": {
        "total_turns": 29615,
        "max_turns": 6,
        "sample_games": [
          [
            "11122233",
            "11233311",
            "22312313",
            "12111322",
            "21321112"
          ]
        ],
        "desc": "Knuth 8p3c"
      },
      "4": {
        "total_turns": 343450,
        "max_turns": 7,
        "sample_games": [
          [
            "11122334",
            "24411143",
            "32211223",
            "11313121",
            "23343122"
          ]
        ],
        "desc": "Knuth 8p4c"
      },
      "5": {
        "total_turns": 2281524,
        "max_turns": 8,
        "sample_games": [
          [
            "11122334",
            "44422555",
            "12311111",
            "31333333"
          ]
        ],
        "desc": "Knuth 8p5c"
      },
      "6": {
        "total_turns": 10658126,
        "max_turns": 9,
        "sample_games": [
          [
            "11122334",
            "22444332",
            "13233255",
            "41125443",
            "45326114",
            "34112546",
            "34152641"
          ]
        ],
        "desc": "Knuth 8p6c"
      },
      "7": {
        "total_turns": 39086516,
        "max_turns": 9,
        "sample_games": [
          [
            "11223344",
            "12552256",
            "13662633",
            "32553777",
            "12577374",
            "37513157",
            "37513751"
          ]
        ],
        "desc": "Knuth 8p7c"
      },
      "8": {
        "total_turns": 120477136,
        "max_turns": 10,
        "sample_games": [
          [
            "11223344",
            "12552266",
            "45463434",
            "35727334",
            "23476147",
            "43173548",
            "43813547"
          ]
        ],
        "desc": "Knuth 8p8c"
      },
      "9": {
        "total_turns": 325181635,
        "max_turns": 10,
        "sample_games": [
          [
            "11223345",
            "14164416",
            "21761176",
            "16246824",
            "66129821",
            "49126884",
            "46126298",
            "48126629"
          ]
        ],
        "desc": "Knuth 8p9c"
      }
    }
  },
  "Most Parts": {
    "2": {
      "2": {
        "total_turns": 8,
        "max_turns": 3,
        "sample_games": [
          [
            "12"
          ]
        ],
        "desc": "Most Parts 2p2c"
      },
      "3": {
        "total_turns": 21,
        "max_turns": 3,
        "sample_games": [
          [
            "12",
            "21"
          ]
        ],
        "desc": "Most Parts 2p3c"
      },
      "4": {
        "total_turns": 45,
        "max_turns": 4,
        "sample_games": [
          [
            "12",
            "23"
          ]
        ],
        "desc": "Most Parts 2p4c"
      },
      "5": {
        "total_turns": 81,
        "max_turns": 4,
        "sample_games": [
          [
            "12",
            "23",
            "31"
          ]
        ],
        "desc": "Most Parts 2p5c"
      },
      "6": {
        "total_turns": 132,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "34"
          ]
        ],
        "desc": "Most Parts 2p6c"
      },
      "7": {
        "total_turns": 199,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "34",
            "35",
            "63",
            "37"
          ]
        ],
        "desc": "Most Parts 2p7c"
      },
      "8": {
        "total_turns": 285,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "43"
          ]
        ],
        "desc": "Most Parts 2p8c"
      },
      "9": {
        "total_turns": 391,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "67",
            "48"
          ]
        ],
        "desc": "Most Parts 2p9c"
      },
      "10": {
        "total_turns": 520,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "53"
          ]
        ],
        "desc": "Most Parts 2p10c"
      },
      "11": {
        "total_turns": 673,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "57"
          ]
        ],
        "desc": "Most Parts 2p11c"
      },
      "12": {
        "total_turns": 853,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "23",
            "45",
            "67",
            "61"
          ]
        ],
        "desc": "Most Parts 2p12c"
      },
      "13": {
        "total_turns": 1061,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "57",
            "68",
            "66"
          ]
        ],
        "desc": "Most Parts 2p13c"
      },
      "14": {
        "total_turns": 1300,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "89",
            "ab",
            "cd",
            "6d"
          ]
        ],
        "desc": "Most Parts 2p14c"
      },
      "15": {
        "total_turns": 1571,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "75"
          ]
        ],
        "desc": "Most Parts 2p15c"
      }
    },
    "3": {
      "2": {
        "total_turns": 18,
        "max_turns": 3,
        "sample_games": [
          [
            "112",
            "122"
          ]
        ],
        "desc": "Most Parts 3p2c"
      },
      "3": {
        "total_turns": 73,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "123",
            "213"
          ]
        ],
        "desc": "Most Parts 3p3c"
      },
      "4": {
        "total_turns": 206,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "233"
          ]
        ],
        "desc": "Most Parts 3p4c"
      },
      "5": {
        "total_turns": 453,
        "max_turns": 5,
        "sample_games": [
          [
            "123",
            "134",
            "313"
          ]
        ],
        "desc": "Most Parts 3p5c"
      },
      "6": {
        "total_turns": 859,
        "max_turns": 5,
        "sample_games": [
          [
            "123",
            "234",
            "145",
            "341"
          ]
        ],
        "desc": "Most Parts 3p6c"
      },
      "7": {
        "total_turns": 1492,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "245",
            "635",
            "355",
            "375"
          ]
        ],
        "desc": "Most Parts 3p7c"
      },
      "8": {
        "total_turns": 2407,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "245",
            "364",
            "147",
            "438"
          ]
        ],
        "desc": "Most Parts 3p8c"
      },
      "9": {
        "total_turns": 3668,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "245",
            "364",
            "417",
            "481"
          ]
        ],
        "desc": "Most Parts 3p9c"
      },
      "10": {
        "total_turns": 5377,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "234",
            "215",
            "531"
          ]
        ],
        "desc": "Most Parts 3p10c"
      },
      "11": {
        "total_turns": 7597,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "456",
            "578",
            "975",
            "1a7",
            "57a"
          ]
        ],
        "desc": "Most Parts 3p11c"
      },
      "12": {
        "total_turns": 10428,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "245",
            "367",
            "681",
            "196",
            "616"
          ]
        ],
        "desc": "Most Parts 3p12c"
      },
      "13": {
        "total_turns": 13989,
        "max_turns": 9,
        "sample_games": [
          [
            "123",
            "456",
            "578",
            "69a",
            "b6c",
            "b4a",
            "66d"
          ]
        ],
        "desc": "Most Parts 3p13c"
      },
      "14": {
        "total_turns": 18365,
        "max_turns": 9,
        "sample_games": [
          [
            "123",
            "456",
            "567",
            "478",
            "19a",
            "1bc",
            "6d5"
          ]
        ],
        "desc": "Most Parts 3p14c"
      },
      "15": {
        "total_turns": 23682,
        "max_turns": 10,
        "sample_games": [
          [
            "123",
            "456",
            "478",
            "447",
            "758"
          ]
        ],
        "desc": "Most Parts 3p15c"
      }
    },
    "4": {
      "2": {
        "total_turns": 44,
        "max_turns": 4,
        "sample_games": [
          [
            "1112",
            "1221"
          ]
        ],
        "desc": "Most Parts 4p2c"
      },
      "3": {
        "total_turns": 246,
        "max_turns": 4,
        "sample_games": [
          [
            "1123",
            "1232",
            "2132"
          ]
        ],
        "desc": "Most Parts 4p3c"
      },
      "4": {
        "total_turns": 910,
        "max_turns": 5,
        "sample_games": [
          [
            "1123",
            "2441",
            "2234",
            "2334"
          ]
        ],
        "desc": "Most Parts 4p4c"
      },
      "5": {
        "total_turns": 2473,
        "max_turns": 5,
        "sample_games": [
          [
            "1123",
            "1425",
            "3133"
          ]
        ],
        "desc": "Most Parts 4p5c"
      },
      "6": {
        "total_turns": 5668,
        "max_turns": 6,
        "sample_games": [
          [
            "1123",
            "2344",
            "3255",
            "1135",
            "3415"
          ]
        ],
        "desc": "Most Parts 4p6c"
      },
      "7": {
        "total_turns": 11388,
        "max_turns": 6,
        "sample_games": [
          [
            "1123",
            "2344",
            "3516",
            "3617",
            "3751"
          ]
        ],
        "desc": "Most Parts 4p7c"
      },
      "8": {
        "total_turns": 20838,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2145",
            "3416",
            "1372",
            "4381"
          ]
        ],
        "desc": "Most Parts 4p8c"
      },
      "9": {
        "total_turns": 35429,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2145",
            "3451",
            "1617",
            "4812"
          ]
        ],
        "desc": "Most Parts 4p9c"
      },
      "10": {
        "total_turns": 57320,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2156",
            "3517",
            "5813",
            "1115",
            "5311"
          ]
        ],
        "desc": "Most Parts 4p10c"
      },
      "11": {
        "total_turns": 92695,
        "max_turns": 8,
        "sample_games": [
          [
            "1122",
            "2334",
            "5615",
            "6718",
            "7519",
            "117a",
            "57a1"
          ]
        ],
        "desc": "Most Parts 4p11c"
      },
      "12": {
        "total_turns": 132247,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "2556",
            "3677",
            "4869",
            "61ab",
            "b16b",
            "616a"
          ]
        ],
        "desc": "Most Parts 4p12c"
      },
      "13": {
        "total_turns": 191436,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5567",
            "6889",
            "78ab",
            "97cd",
            "66bc",
            "66da"
          ]
        ],
        "desc": "Most Parts 4p13c"
      },
      "14": {
        "total_turns": 270043,
        "max_turns": 10,
        "sample_games": [
          [
            "1234",
            "5567",
            "5658",
            "5795",
            "1a1b",
            "1c1d",
            "6d57"
          ]
        ],
        "desc": "Most Parts 4p14c"
      },
      "15": {
        "total_turns": 372411,
        "max_turns": 10,
        "sample_games": [
          [
            "1234",
            "5567",
            "5859",
            "9a65",
            "77b8",
            "118c",
            "7588"
          ]
        ],
        "desc": "Most Parts 4p15c"
      }
    },
    "5": {
      "2": {
        "total_turns": 97,
        "max_turns": 4,
        "sample_games": [
          [
            "11122",
            "12212"
          ]
        ],
        "desc": "Most Parts 5p2c"
      },
      "3": {
        "total_turns": 816,
        "max_turns": 4,
        "sample_games": [
          [
            "11123",
            "12213",
            "21321"
          ]
        ],
        "desc": "Most Parts 5p3c"
      },
      "4": {
        "total_turns": 3973,
        "max_turns": 5,
        "sample_games": [
          [
            "11223",
            "13344",
            "23343"
          ]
        ],
        "desc": "Most Parts 5p4c"
      },
      "5": {
        "total_turns": 13598,
        "max_turns": 6,
        "sample_games": [
          [
            "11223",
            "14245",
            "31333"
          ]
        ],
        "desc": "Most Parts 5p5c"
      },
      "6": {
        "total_turns": 37575,
        "max_turns": 6,
        "sample_games": [
          [
            "11122",
            "11334",
            "13452",
            "34152"
          ]
        ],
        "desc": "Most Parts 5p6c"
      },
      "7": {
        "total_turns": 86869,
        "max_turns": 7,
        "sample_games": [
          [
            "11223",
            "13344",
            "31536",
            "14637",
            "37513"
          ]
        ],
        "desc": "Most Parts 5p7c"
      },
      "8": {
        "total_turns": 181834,
        "max_turns": 8,
        "sample_games": [
          [
            "11223",
            "13344",
            "31454",
            "43136",
            "43713",
            "43813"
          ]
        ],
        "desc": "Most Parts 5p8c"
      },
      "9": {
        "total_turns": 348597,
        "max_turns": 8,
        "sample_games": [
          [
            "11234",
            "22315",
            "34426",
            "34782",
            "47126",
            "48126"
          ]
        ],
        "desc": "Most Parts 5p9c"
      },
      "10": {
        "total_turns": 625020,
        "max_turns": 9,
        "sample_games": [
          [
            "11234",
            "22315",
            "23426",
            "25571",
            "11118",
            "53111"
          ]
        ],
        "desc": "Most Parts 5p10c"
      },
      "11": {
        "total_turns": 1061986,
        "max_turns": 9,
        "sample_games": [
          [
            "11234",
            "22353",
            "24426",
            "35157",
            "57381",
            "11793",
            "57a13"
          ]
        ],
        "desc": "Most Parts 5p11c"
      },
      "12": {
        "total_turns": 1726424,
        "max_turns": 10,
        "sample_games": [
          [
            "11234",
            "12525",
            "21667",
            "77682",
            "1119a",
            "616a2"
          ]
        ],
        "desc": "Most Parts 5p12c"
      },
      "13": {
        "total_turns": 2699887,
        "max_turns": 10,
        "sample_games": [
          [
            "12345",
            "66778",
            "6979a",
            "6ab7c",
            "a66d9",
            "66da9"
          ]
        ],
        "desc": "Most Parts 5p13c"
      },
      "14": {
        "total_turns": 4088208,
        "max_turns": 11,
        "sample_games": [
          [
            "12345",
            "26267",
            "33678",
            "77928",
            "44a76",
            "61b7c",
            "1d11e",
            "65c7e",
            "6d57b"
          ]
        ],
        "desc": "Most Parts 5p14c"
      },
      "15": {
        "total_turns": 6023213,
        "max_turns": 11,
        "sample_games": [
          [
            "12345",
            "26267",
            "33688",
            "37789",
            "36a9b",
            "1181c",
            "74888",
            "75888"
          ]
        ],
        "desc": "Most Parts 5p15c"
      }
    },
    "6": {
      "2": {
        "total_turns": 224,
        "max_turns": 5,
        "sample_games": [
          [
            "111122",
            "112212",
            "121221",
            "122121"
          ]
        ],
        "desc": "Most Parts 6p2c"
      },
      "3": {
        "total_turns": 2672,
        "max_turns": 5,
        "sample_games": [
          [
            "111223",
            "112132",
            "231121",
            "213211"
          ]
        ],
        "desc": "Most Parts 6p3c"
      },
      "4": {
        "total_turns": 17480,
        "max_turns": 6,
        "sample_games": [
          [
            "111223",
            "224344",
            "342312",
            "233431"
          ]
        ],
        "desc": "Most Parts 6p4c"
      },
      "5": {
        "total_turns": 74698,
        "max_turns": 7,
        "sample_games": [
          [
            "111223",
            "114455",
            "122324",
            "313333"
          ]
        ],
        "desc": "Most Parts 6p5c"
      },
      "6": {
        "total_turns": 244179,
        "max_turns": 8,
        "sample_games": [
          [
            "112233",
            "221445",
            "234164",
            "563423",
            "441326",
            "341526"
          ]
        ],
        "desc": "Most Parts 6p6c"
      },
      "7": {
        "total_turns": 665352,
        "max_turns": 8,
        "sample_games": [
          [
            "112234",
            "125556",
            "133667",
            "363574",
            "327637",
            "317357",
            "375137"
          ]
        ],
        "desc": "Most Parts 6p7c"
      },
      "8": {
        "total_turns": 1580082,
        "max_turns": 9,
        "sample_games": [
          [
            "112233",
            "121144",
            "133456",
            "313547",
            "435118",
            "438135"
          ]
        ],
        "desc": "Most Parts 6p8c"
      },
      "9": {
        "total_turns": 3396961,
        "max_turns": 9,
        "sample_games": [
          [
            "112234",
            "131153",
            "124446",
            "641276",
            "481267",
            "481266"
          ]
        ],
        "desc": "Most Parts 6p9c"
      },
      "10": {
        "total_turns": 6743303,
        "max_turns": 10,
        "sample_games": [
          [
            "112234",
            "223355",
            "351166",
            "361627",
            "385191",
            "35aa11",
            "531111"
          ]
        ],
        "desc": "Most Parts 6p10c"
      },
      "11": {
        "total_turns": 12566476,
        "max_turns": 10,
        "sample_games": [
          [
            "112234",
            "125556",
            "216677",
            "442865",
            "351719",
            "13711a",
            "57a135"
          ]
        ],
        "desc": "Most Parts 6p11c"
      },
      "12": {
        "total_turns": 22223299,
        "max_turns": 11,
        "sample_games": [
          [
            "112234",
            "125556",
            "166627",
            "716826",
            "11191a",
            "616a26"
          ]
        ],
        "desc": "Most Parts 6p12c"
      },
      "13": {
        "total_turns": 37925540,
        "max_turns": 11,
        "sample_games": [
          [
            "112233",
            "244455",
            "366677",
            "378889",
            "7a1a7b",
            "6619bc",
            "b61b68",
            "669a1d",
            "66da91"
          ]
        ],
        "desc": "Most Parts 6p13c"
      },
      "14": {
        "total_turns": 61208193,
        "max_turns": 12,
        "sample_games": [
          [
            "112345",
            "221667",
            "336186",
            "464729",
            "779921",
            "56527a",
            "b675bc",
            "6d57b2"
          ]
        ],
        "desc": "Most Parts 6p14c"
      },
      "15": {
        "total_turns": 97569428,
        "max_turns": 12,
        "sample_games": [
          [
            "111234",
            "555667",
            "577788",
            "578899",
            "a7588b",
            "775a98",
            "758888"
          ]
        ],
        "desc": "Most Parts 6p15c"
      }
    },
    "7": {
      "2": {
        "total_turns": 506,
        "max_turns": 6,
        "sample_games": [
          [
            "1111222",
            "1122122",
            "1212212",
            "1112121",
            "1221212"
          ]
        ],
        "desc": "Most Parts 7p2c"
      },
      "3": {
        "total_turns": 8794,
        "max_turns": 6,
        "sample_games": [
          [
            "1111223",
            "1223111",
            "2132111"
          ]
        ],
        "desc": "Most Parts 7p3c"
      },
      "4": {
        "total_turns": 76616,
        "max_turns": 7,
        "sample_games": [
          [
            "1112223",
            "2241344",
            "2321331",
            "2233431",
            "2334312"
          ]
        ],
        "desc": "Most Parts 7p4c"
      },
      "5": {
        "total_turns": 409443,
        "max_turns": 8,
        "sample_games": [
          [
            "1112233",
            "1142445",
            "1213112",
            "3133333"
          ]
        ],
        "desc": "Most Parts 7p5c"
      },
      "6": {
        "total_turns": 1602722,
        "max_turns": 9,
        "sample_games": [
          [
            "1112233",
            "2242434",
            "1124445",
            "1452513",
            "3415264"
          ]
        ],
        "desc": "Most Parts 7p6c"
      },
      "7": {
        "total_turns": 5267573,
        "max_turns": 9,
        "sample_games": [
          [
            "1234567",
            "2111234",
            "2353356",
            "2446655",
            "5317375",
            "7517353",
            "3751375"
          ]
        ],
        "desc": "Most Parts 7p7c"
      },
      "8": {
        "total_turns": 13741851,
        "max_turns": 10,
        "sample_games": [
          [
            "1122334",
            "1114245",
            "2343354",
            "5442362",
            "1151117",
            "4381354"
          ]
        ],
        "desc": "Most Parts 7p8c"
      },
      "9": {
        "total_turns": 33135765,
        "max_turns": 11,
        "sample_games": [
          [
            "1122334",
            "1211255",
            "1333516",
            "2114447",
            "2227173",
            "4186262",
            "4612862",
            "4812662"
          ]
        ],
        "desc": "Most Parts 7p9c"
      },
      "10": {
        "total_turns": 72910123,
        "max_turns": 11,
        "sample_games": [
          [
            "1122334",
            "2215556",
            "2336667",
            "5311889",
            "44518a7",
            "5311111"
          ]
        ],
        "desc": "Most Parts 7p10c"
      },
      "11": {
        "total_turns": 149046017,
        "max_turns": 12,
        "sample_games": [
          [
            "1122334",
            "1255566",
            "2167778",
            "3626889",
            "45716aa",
            "7548554",
            "577a351",
            "57a1357"
          ]
        ],
        "desc": "Most Parts 7p11c"
      },
      "12": {
        "total_turns": 287431410,
        "max_turns": 12,
        "sample_games": [
          [
            "1122345",
            "1211666",
            "1636117",
            "1128256",
            "1144269",
            "111a11b",
            "616a264"
          ]
        ],
        "desc": "Most Parts 7p12c"
      },
      "13": {
        "total_turns": 524037922,
        "max_turns": 13,
        "sample_games": [
          [
            "1122334",
            "2555666",
            "3667787",
            "3799559",
            "4446885",
            "726aaab",
            "7cc12dc",
            "661ac9b",
            "661d9ab",
            "66da91b"
          ]
        ],
        "desc": "Most Parts 7p13c"
      }
    },
    "8": {
      "2": {
        "total_turns": 1123,
        "max_turns": 6,
        "sample_games": [
          [
            "11112222",
            "11121122",
            "11222212",
            "12122221",
            "12211222",
            "12212122"
          ]
        ],
        "desc": "Most Parts 8p2c"
      },
      "3": {
        "total_turns": 28853,
        "max_turns": 6,
        "sample_games": [
          [
            "11112223",
            "11221231",
            "13231112",
            "21321112"
          ]
        ],
        "desc": "Most Parts 8p3c"
      },
      "4": {
        "total_turns": 336330,
        "max_turns": 7,
        "sample_games": [
          [
            "11122233",
            "22213344",
            "23441312",
            "23233111",
            "23343122"
          ]
        ],
        "desc": "Most Parts 8p4c"
      },
      "5": {
        "total_turns": 2247192,
        "max_turns": 9,
        "sample_games": [
          [
            "11122233",
            "11444535",
            "12413311",
            "31333333"
          ]
        ],
        "desc": "Most Parts 8p5c"
      },
      "6": {
        "total_turns": 10540468,
        "max_turns": 10,
        "sample_games": [
          [
            "11122233",
            "11211444",
            "12444225",
            "26156412",
            "34125461",
            "34152154",
            "34152641"
          ]
        ],
        "desc": "Most Parts 8p6c"
      },
      "7": {
        "total_turns": 38827800,
        "max_turns": 11,
        "sample_games": [
          [
            "11122334",
            "22233553",
            "22344246",
            "33711573",
            "37513751"
          ]
        ],
        "desc": "Most Parts 8p7c"
      },
      "8": {
        "total_turns": 120031735,
        "max_turns": 12,
        "sample_games": [
          [
            "11122334",
            "22233553",
            "22344467",
            "23438848",
            "26883128",
            "34733418",
            "73843541",
            "43813547"
          ]
        ],
        "desc": "Most Parts 8p8c"
      },
      "9": {
        "total_turns": 324779559,
        "max_turns": 12,
        "sample_games": [
          [
            "11122334",
            "11414445",
            "22142662",
            "23262254",
            "42176786",
            "74119626",
            "48126629"
          ]
        ],
        "desc": "Most Parts 8p9c"
      }
    }
  },
  "Expected Size": {
    "2": {
      "2": {
        "total_turns": 8,
        "max_turns": 3,
        "sample_games": [
          [
            "12"
          ]
        ],
        "desc": "Expected Size 2p2c"
      },
      "3": {
        "total_turns": 21,
        "max_turns": 3,
        "sample_games": [
          [
            "12",
            "21"
          ]
        ],
        "desc": "Expected Size 2p3c"
      },
      "4": {
        "total_turns": 45,
        "max_turns": 4,
        "sample_games": [
          [
            "12",
            "23"
          ]
        ],
        "desc": "Expected Size 2p4c"
      },
      "5": {
        "total_turns": 81,
        "max_turns": 4,
        "sample_games": [
          [
            "12",
            "23",
            "31"
          ]
        ],
        "desc": "Expected Size 2p5c"
      },
      "6": {
        "total_turns": 132,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "34"
          ]
        ],
        "desc": "Expected Size 2p6c"
      },
      "7": {
        "total_turns": 198,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "63",
            "37"
          ]
        ],
        "desc": "Expected Size 2p7c"
      },
      "8": {
        "total_turns": 284,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "43"
          ]
        ],
        "desc": "Expected Size 2p8c"
      },
      "9": {
        "total_turns": 388,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "67",
            "48"
          ]
        ],
        "desc": "Expected Size 2p9c"
      },
      "10": {
        "total_turns": 517,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "53"
          ]
        ],
        "desc": "Expected Size 2p10c"
      },
      "11": {
        "total_turns": 667,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "57"
          ]
        ],
        "desc": "Expected Size 2p11c"
      },
      "12": {
        "total_turns": 847,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "23",
            "45",
            "67",
            "61"
          ]
        ],
        "desc": "Expected Size 2p12c"
      },
      "13": {
        "total_turns": 1051,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "57",
            "66"
          ]
        ],
        "desc": "Expected Size 2p13c"
      },
      "14": {
        "total_turns": 1290,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "89",
            "ab",
            "cd",
            "6d"
          ]
        ],
        "desc": "Expected Size 2p14c"
      },
      "15": {
        "total_turns": 1556,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "75"
          ]
        ],
        "desc": "Expected Size 2p15c"
      }
    },
    "3": {
      "2": {
        "total_turns": 18,
        "max_turns": 3,
        "sample_games": [
          [
            "112",
            "122"
          ]
        ],
        "desc": "Expected Size 3p2c"
      },
      "3": {
        "total_turns": 73,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "123",
            "213"
          ]
        ],
        "desc": "Expected Size 3p3c"
      },
      "4": {
        "total_turns": 207,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "233"
          ]
        ],
        "desc": "Expected Size 3p4c"
      },
      "5": {
        "total_turns": 454,
        "max_turns": 5,
        "sample_games": [
          [
            "112",
            "134",
            "415",
            "313"
          ]
        ],
        "desc": "Expected Size 3p5c"
      },
      "6": {
        "total_turns": 859,
        "max_turns": 5,
        "sample_games": [
          [
            "123",
            "234",
            "145",
            "341"
          ]
        ],
        "desc": "Expected Size 3p6c"
      },
      "7": {
        "total_turns": 1489,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "245",
            "356",
            "335",
            "375"
          ]
        ],
        "desc": "Expected Size 3p7c"
      },
      "8": {
        "total_turns": 2403,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "245",
            "314",
            "167",
            "438"
          ]
        ],
        "desc": "Expected Size 3p8c"
      },
      "9": {
        "total_turns": 3649,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "245",
            "314",
            "637",
            "481"
          ]
        ],
        "desc": "Expected Size 3p9c"
      },
      "10": {
        "total_turns": 5392,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "234",
            "351",
            "531"
          ]
        ],
        "desc": "Expected Size 3p10c"
      },
      "11": {
        "total_turns": 7586,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "456",
            "578",
            "975",
            "1a7",
            "57a"
          ]
        ],
        "desc": "Expected Size 3p11c"
      },
      "12": {
        "total_turns": 10339,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "234",
            "516",
            "578",
            "69a",
            "616"
          ]
        ],
        "desc": "Expected Size 3p12c"
      },
      "13": {
        "total_turns": 13858,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "456",
            "567",
            "589",
            "6ab",
            "66c",
            "66d"
          ]
        ],
        "desc": "Expected Size 3p13c"
      },
      "14": {
        "total_turns": 18115,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "456",
            "567",
            "789",
            "abc",
            "6d5"
          ]
        ],
        "desc": "Expected Size 3p14c"
      },
      "15": {
        "total_turns": 23199,
        "max_turns": 9,
        "sample_games": [
          [
            "123",
            "456",
            "467",
            "689",
            "abc",
            "ded",
            "758"
          ]
        ],
        "desc": "Expected Size 3p15c"
      }
    },
    "4": {
      "2": {
        "total_turns": 44,
        "max_turns": 4,
        "sample_games": [
          [
            "1112",
            "1221"
          ]
        ],
        "desc": "Expected Size 4p2c"
      },
      "3": {
        "total_turns": 246,
        "max_turns": 4,
        "sample_games": [
          [
            "1123",
            "1232",
            "2132"
          ]
        ],
        "desc": "Expected Size 4p3c"
      },
      "4": {
        "total_turns": 916,
        "max_turns": 4,
        "sample_games": [
          [
            "1123",
            "4412",
            "2334"
          ]
        ],
        "desc": "Expected Size 4p4c"
      },
      "5": {
        "total_turns": 2485,
        "max_turns": 5,
        "sample_games": [
          [
            "1123",
            "1415",
            "2533",
            "3133"
          ]
        ],
        "desc": "Expected Size 4p5c"
      },
      "6": {
        "total_turns": 5764,
        "max_turns": 5,
        "sample_games": [
          [
            "1122",
            "2344",
            "3415"
          ]
        ],
        "desc": "Expected Size 4p6c"
      },
      "7": {
        "total_turns": 11412,
        "max_turns": 6,
        "sample_games": [
          [
            "1234",
            "2546",
            "3153",
            "3175",
            "3751"
          ]
        ],
        "desc": "Expected Size 4p7c"
      },
      "8": {
        "total_turns": 20725,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2353",
            "6413",
            "4371",
            "4341",
            "4381"
          ]
        ],
        "desc": "Expected Size 4p8c"
      },
      "9": {
        "total_turns": 35033,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2353",
            "6142",
            "4728",
            "4812"
          ]
        ],
        "desc": "Expected Size 4p9c"
      },
      "10": {
        "total_turns": 56940,
        "max_turns": 7,
        "sample_games": [
          [
            "1123",
            "2314",
            "2567",
            "5116",
            "5311"
          ]
        ],
        "desc": "Expected Size 4p10c"
      },
      "11": {
        "total_turns": 86903,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2567",
            "5641",
            "5718",
            "195a",
            "5791",
            "57a1"
          ]
        ],
        "desc": "Expected Size 4p11c"
      },
      "12": {
        "total_turns": 129070,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2567",
            "3869",
            "4a6b",
            "61ac",
            "616a"
          ]
        ],
        "desc": "Expected Size 4p12c"
      },
      "13": {
        "total_turns": 185338,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "59ab",
            "c69d",
            "6d6a",
            "66da"
          ]
        ],
        "desc": "Expected Size 4p13c"
      },
      "14": {
        "total_turns": 259846,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "6797",
            "a75b",
            "5c65",
            "6d57"
          ]
        ],
        "desc": "Expected Size 4p14c"
      },
      "15": {
        "total_turns": 355516,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "5569",
            "578a",
            "5bcd",
            "7588"
          ]
        ],
        "desc": "Expected Size 4p15c"
      }
    },
    "5": {
      "2": {
        "total_turns": 97,
        "max_turns": 4,
        "sample_games": [
          [
            "11122",
            "12212"
          ]
        ],
        "desc": "Expected Size 5p2c"
      },
      "3": {
        "total_turns": 816,
        "max_turns": 4,
        "sample_games": [
          [
            "11123",
            "12213",
            "21321"
          ]
        ],
        "desc": "Expected Size 5p3c"
      },
      "4": {
        "total_turns": 4000,
        "max_turns": 5,
        "sample_games": [
          [
            "11223",
            "13334",
            "23144",
            "23343"
          ]
        ],
        "desc": "Expected Size 5p4c"
      },
      "5": {
        "total_turns": 13654,
        "max_turns": 6,
        "sample_games": [
          [
            "11223",
            "13344",
            "45242",
            "31333"
          ]
        ],
        "desc": "Expected Size 5p5c"
      },
      "6": {
        "total_turns": 37137,
        "max_turns": 6,
        "sample_games": [
          [
            "11223",
            "23452",
            "32155",
            "22355",
            "34152"
          ]
        ],
        "desc": "Expected Size 5p6c"
      },
      "7": {
        "total_turns": 86592,
        "max_turns": 7,
        "sample_games": [
          [
            "11223",
            "14156",
            "25267",
            "32643",
            "67613",
            "37513"
          ]
        ],
        "desc": "Expected Size 5p7c"
      },
      "8": {
        "total_turns": 180215,
        "max_turns": 7,
        "sample_games": [
          [
            "11223",
            "14156",
            "26724",
            "41338",
            "43813"
          ]
        ],
        "desc": "Expected Size 5p8c"
      },
      "9": {
        "total_turns": 343476,
        "max_turns": 8,
        "sample_games": [
          [
            "11234",
            "23453",
            "36172",
            "34861",
            "48626",
            "48126"
          ]
        ],
        "desc": "Expected Size 5p9c"
      },
      "10": {
        "total_turns": 611522,
        "max_turns": 8,
        "sample_games": [
          [
            "11234",
            "23453",
            "63147",
            "83912",
            "51251",
            "53111"
          ]
        ],
        "desc": "Expected Size 5p10c"
      },
      "11": {
        "total_turns": 1053205,
        "max_turns": 9,
        "sample_games": [
          [
            "11223",
            "14153",
            "13536",
            "51357",
            "17879",
            "57a13"
          ]
        ],
        "desc": "Expected Size 5p11c"
      },
      "12": {
        "total_turns": 1707376,
        "max_turns": 9,
        "sample_games": [
          [
            "11234",
            "12522",
            "61537",
            "48519",
            "a6b26",
            "616a2"
          ]
        ],
        "desc": "Expected Size 5p12c"
      },
      "13": {
        "total_turns": 2692012,
        "max_turns": 10,
        "sample_games": [
          [
            "12345",
            "66789",
            "67a7b",
            "96b9c",
            "669ad",
            "66da9"
          ]
        ],
        "desc": "Expected Size 5p13c"
      },
      "14": {
        "total_turns": 4163015,
        "max_turns": 10,
        "sample_games": [
          [
            "11234",
            "55555",
            "56666",
            "75589",
            "757ab",
            "c5d7a",
            "65bc7",
            "6d57b"
          ]
        ],
        "desc": "Expected Size 5p14c"
      },
      "15": {
        "total_turns": 6195709,
        "max_turns": 11,
        "sample_games": [
          [
            "11234",
            "55555",
            "56666",
            "75589",
            "75a7b",
            "78cd8",
            "118e8",
            "75888"
          ]
        ],
        "desc": "Expected Size 5p15c"
      }
    },
    "6": {
      "2": {
        "total_turns": 224,
        "max_turns": 5,
        "sample_games": [
          [
            "111122",
            "112212",
            "121221",
            "122121"
          ]
        ],
        "desc": "Expected Size 6p2c"
      },
      "3": {
        "total_turns": 2676,
        "max_turns": 5,
        "sample_games": [
          [
            "111223",
            "133221",
            "112121",
            "213211"
          ]
        ],
        "desc": "Expected Size 6p3c"
      },
      "4": {
        "total_turns": 17580,
        "max_turns": 6,
        "sample_games": [
          [
            "111234",
            "122342",
            "413424",
            "111121",
            "233431"
          ]
        ],
        "desc": "Expected Size 6p4c"
      },
      "5": {
        "total_turns": 75091,
        "max_turns": 6,
        "sample_games": [
          [
            "111234",
            "225245",
            "123111",
            "313333"
          ]
        ],
        "desc": "Expected Size 6p5c"
      },
      "6": {
        "total_turns": 243157,
        "max_turns": 7,
        "sample_games": [
          [
            "112233",
            "241514",
            "431644",
            "341561",
            "341526"
          ]
        ],
        "desc": "Expected Size 6p6c"
      },
      "7": {
        "total_turns": 659304,
        "max_turns": 8,
        "sample_games": [
          [
            "112234",
            "353564",
            "515774",
            "156716",
            "475267",
            "375137"
          ]
        ],
        "desc": "Expected Size 6p7c"
      },
      "8": {
        "total_turns": 1562640,
        "max_turns": 8,
        "sample_games": [
          [
            "112234",
            "135613",
            "313743",
            "454136",
            "634138",
            "438135"
          ]
        ],
        "desc": "Expected Size 6p8c"
      },
      "9": {
        "total_turns": 3435784,
        "max_turns": 9,
        "sample_games": [
          [
            "112233",
            "124444",
            "542616",
            "462575",
            "116128",
            "481266"
          ]
        ],
        "desc": "Expected Size 6p9c"
      },
      "10": {
        "total_turns": 6871245,
        "max_turns": 10,
        "sample_games": [
          [
            "123456",
            "211113",
            "378112",
            "431135",
            "531111"
          ]
        ],
        "desc": "Expected Size 6p10c"
      },
      "11": {
        "total_turns": 12993463,
        "max_turns": 11,
        "sample_games": [
          [
            "123456",
            "211113",
            "232224",
            "315578",
            "598317",
            "85138a",
            "57a135"
          ]
        ],
        "desc": "Expected Size 6p11c"
      },
      "12": {
        "total_turns": 23366438,
        "max_turns": 11,
        "sample_games": [
          [
            "112345",
            "126222",
            "127668",
            "798227",
            "6aa2bb",
            "a162c6",
            "616a26"
          ]
        ],
        "desc": "Expected Size 6p12c"
      },
      "13": {
        "total_turns": 39734414,
        "max_turns": 12,
        "sample_games": [
          [
            "112345",
            "226222",
            "333633",
            "444464",
            "555556",
            "671788",
            "6991aa",
            "6baa1b",
            "c6a9c1",
            "66da91"
          ]
        ],
        "desc": "Expected Size 6p13c"
      },
      "14": {
        "total_turns": 65379038,
        "max_turns": 13,
        "sample_games": [
          [
            "112345",
            "221222",
            "233633",
            "327777",
            "468297",
            "65a7b2",
            "cd67aa",
            "6557a2",
            "6d57b2"
          ]
        ],
        "desc": "Expected Size 6p14c"
      },
      "15": {
        "total_turns": 103759824,
        "max_turns": 14,
        "sample_games": [
          [
            "112345",
            "226222",
            "333733",
            "444474",
            "555557",
            "577888",
            "75789a",
            "71bc8d",
            "11811e",
            "758888"
          ]
        ],
        "desc": "Expected Size 6p15c"
      }
    },
    "7": {
      "2": {
        "total_turns": 506,
        "max_turns": 6,
        "sample_games": [
          [
            "1111222",
            "1122122",
            "1212212",
            "1112121",
            "1221212"
          ]
        ],
        "desc": "Expected Size 7p2c"
      },
      "3": {
        "total_turns": 8822,
        "max_turns": 5,
        "sample_games": [
          [
            "1112223",
            "1121332",
            "2313232",
            "2132111"
          ]
        ],
        "desc": "Expected Size 7p3c"
      },
      "4": {
        "total_turns": 76953,
        "max_turns": 6,
        "sample_games": [
          [
            "1112233",
            "2233312",
            "2323413",
            "2334312"
          ]
        ],
        "desc": "Expected Size 7p4c"
      },
      "5": {
        "total_turns": 408548,
        "max_turns": 7,
        "sample_games": [
          [
            "1112233",
            "1222444",
            "3153555",
            "3133333"
          ]
        ],
        "desc": "Expected Size 7p5c"
      },
      "6": {
        "total_turns": 1593267,
        "max_turns": 8,
        "sample_games": [
          [
            "1112233",
            "2242534",
            "1452445",
            "3165244",
            "3414161",
            "3415264"
          ]
        ],
        "desc": "Expected Size 7p6c"
      },
      "7": {
        "total_turns": 5104162,
        "max_turns": 9,
        "sample_games": [
          [
            "1112233",
            "2221422",
            "3355526",
            "3777362",
            "6363662",
            "3751357",
            "3751375"
          ]
        ],
        "desc": "Expected Size 7p7c"
      },
      "8": {
        "total_turns": 13986679,
        "max_turns": 9,
        "sample_games": [
          [
            "1234567",
            "2111134",
            "6118855",
            "8183384",
            "4315384",
            "4381354"
          ]
        ],
        "desc": "Expected Size 7p8c"
      },
      "9": {
        "total_turns": 33997879,
        "max_turns": 10,
        "sample_games": [
          [
            "1234567",
            "1111234",
            "1322325",
            "8232344",
            "4294355",
            "3181378",
            "4812662"
          ]
        ],
        "desc": "Expected Size 7p9c"
      },
      "10": {
        "total_turns": 75438716,
        "max_turns": 11,
        "sample_games": [
          [
            "1234567",
            "2111113",
            "3321182",
            "3141145",
            "4311111",
            "5311111"
          ]
        ],
        "desc": "Expected Size 7p10c"
      },
      "11": {
        "total_turns": 155916366,
        "max_turns": 12,
        "sample_games": [
          [
            "1234567",
            "1111234",
            "1353356",
            "1568655",
            "7133857",
            "5379757",
            "57a1357"
          ]
        ],
        "desc": "Expected Size 7p11c"
      }
    },
    "8": {
      "2": {
        "total_turns": 1121,
        "max_turns": 6,
        "sample_games": [
          [
            "11111222",
            "11222122",
            "12111122",
            "12122122",
            "12212122"
          ]
        ],
        "desc": "Expected Size 8p2c"
      },
      "3": {
        "total_turns": 28932,
        "max_turns": 6,
        "sample_games": [
          [
            "11122233",
            "11233311",
            "13322312",
            "21312112",
            "21321112"
          ]
        ],
        "desc": "Expected Size 8p3c"
      },
      "4": {
        "total_turns": 336536,
        "max_turns": 7,
        "sample_games": [
          [
            "11122233",
            "23413411",
            "32313323",
            "32233412",
            "23343122"
          ]
        ],
        "desc": "Expected Size 8p4c"
      },
      "5": {
        "total_turns": 2235681,
        "max_turns": 8,
        "sample_games": [
          [
            "11122334",
            "45522445",
            "12311111",
            "31333333"
          ]
        ],
        "desc": "Expected Size 8p5c"
      },
      "6": {
        "total_turns": 10644968,
        "max_turns": 9,
        "sample_games": [
          [
            "11112223",
            "11224444",
            "33441123",
            "34132552",
            "31612411",
            "34152614",
            "34152641"
          ]
        ],
        "desc": "Expected Size 8p6c"
      },
      "7": {
        "total_turns": 39605536,
        "max_turns": 10,
        "sample_games": [
          [
            "11234567",
            "22111134",
            "23322675",
            "42666443",
            "75173733",
            "15513717",
            "37513751"
          ]
        ],
        "desc": "Expected Size 8p7c"
      },
      "8": {
        "total_turns": 122344925,
        "max_turns": 10,
        "sample_games": [
          [
            "12345678",
            "21113456",
            "21224387",
            "27278866",
            "51583547",
            "51484734",
            "34813547",
            "43813547"
          ]
        ],
        "desc": "Expected Size 8p8c"
      }
    }
  },
  "Entropy": {
    "2": {
      "2": {
        "total_turns": 8,
        "max_turns": 3,
        "sample_games": [
          [
            "12"
          ]
        ],
        "desc": "Entropy 2p2c"
      },
      "3": {
        "total_turns": 21,
        "max_turns": 3,
        "sample_games": [
          [
            "12",
            "21"
          ]
        ],
        "desc": "Entropy 2p3c"
      },
      "4": {
        "total_turns": 45,
        "max_turns": 4,
        "sample_games": [
          [
            "12",
            "23"
          ]
        ],
        "desc": "Entropy 2p4c"
      },
      "5": {
        "total_turns": 81,
        "max_turns": 4,
        "sample_games": [
          [
            "12",
            "23",
            "31"
          ]
        ],
        "desc": "Entropy 2p5c"
      },
      "6": {
        "total_turns": 132,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "34"
          ]
        ],
        "desc": "Entropy 2p6c"
      },
      "7": {
        "total_turns": 198,
        "max_turns": 5,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "63",
            "37"
          ]
        ],
        "desc": "Entropy 2p7c"
      },
      "8": {
        "total_turns": 284,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "43"
          ]
        ],
        "desc": "Entropy 2p8c"
      },
      "9": {
        "total_turns": 388,
        "max_turns": 6,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "67",
            "48"
          ]
        ],
        "desc": "Entropy 2p9c"
      },
      "10": {
        "total_turns": 517,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "45",
            "53"
          ]
        ],
        "desc": "Entropy 2p10c"
      },
      "11": {
        "total_turns": 667,
        "max_turns": 7,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "57"
          ]
        ],
        "desc": "Entropy 2p11c"
      },
      "12": {
        "total_turns": 847,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "23",
            "45",
            "67",
            "61"
          ]
        ],
        "desc": "Entropy 2p12c"
      },
      "13": {
        "total_turns": 1051,
        "max_turns": 8,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "57",
            "66"
          ]
        ],
        "desc": "Entropy 2p13c"
      },
      "14": {
        "total_turns": 1291,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "89",
            "ab",
            "cd",
            "6d"
          ]
        ],
        "desc": "Entropy 2p14c"
      },
      "15": {
        "total_turns": 1557,
        "max_turns": 9,
        "sample_games": [
          [
            "12",
            "34",
            "56",
            "67",
            "75"
          ]
        ],
        "desc": "Entropy 2p15c"
      }
    },
    "3": {
      "2": {
        "total_turns": 18,
        "max_turns": 3,
        "sample_games": [
          [
            "112",
            "122"
          ]
        ],
        "desc": "Entropy 3p2c"
      },
      "3": {
        "total_turns": 73,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "123",
            "213"
          ]
        ],
        "desc": "Entropy 3p3c"
      },
      "4": {
        "total_turns": 207,
        "max_turns": 4,
        "sample_games": [
          [
            "112",
            "233"
          ]
        ],
        "desc": "Entropy 3p4c"
      },
      "5": {
        "total_turns": 453,
        "max_turns": 5,
        "sample_games": [
          [
            "123",
            "134",
            "313"
          ]
        ],
        "desc": "Entropy 3p5c"
      },
      "6": {
        "total_turns": 861,
        "max_turns": 5,
        "sample_games": [
          [
            "123",
            "234",
            "145",
            "341"
          ]
        ],
        "desc": "Entropy 3p6c"
      },
      "7": {
        "total_turns": 1487,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "245",
            "356",
            "335",
            "375"
          ]
        ],
        "desc": "Entropy 3p7c"
      },
      "8": {
        "total_turns": 2395,
        "max_turns": 6,
        "sample_games": [
          [
            "123",
            "245",
            "461",
            "517",
            "438"
          ]
        ],
        "desc": "Entropy 3p8c"
      },
      "9": {
        "total_turns": 3646,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "245",
            "461",
            "417",
            "481"
          ]
        ],
        "desc": "Entropy 3p9c"
      },
      "10": {
        "total_turns": 5309,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "234",
            "351",
            "531"
          ]
        ],
        "desc": "Entropy 3p10c"
      },
      "11": {
        "total_turns": 7512,
        "max_turns": 7,
        "sample_games": [
          [
            "123",
            "456",
            "578",
            "975",
            "1a7",
            "57a"
          ]
        ],
        "desc": "Entropy 3p11c"
      },
      "12": {
        "total_turns": 10254,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "245",
            "617",
            "681",
            "9a6",
            "616"
          ]
        ],
        "desc": "Entropy 3p12c"
      },
      "13": {
        "total_turns": 13800,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "456",
            "578",
            "94a",
            "6bc",
            "66d"
          ]
        ],
        "desc": "Entropy 3p13c"
      },
      "14": {
        "total_turns": 18044,
        "max_turns": 8,
        "sample_games": [
          [
            "123",
            "456",
            "567",
            "478",
            "9ab",
            "1cd",
            "6d5"
          ]
        ],
        "desc": "Entropy 3p14c"
      },
      "15": {
        "total_turns": 23117,
        "max_turns": 9,
        "sample_games": [
          [
            "123",
            "456",
            "467",
            "689",
            "abc",
            "ded",
            "758"
          ]
        ],
        "desc": "Entropy 3p15c"
      }
    },
    "4": {
      "2": {
        "total_turns": 44,
        "max_turns": 4,
        "sample_games": [
          [
            "1112",
            "1221"
          ]
        ],
        "desc": "Entropy 4p2c"
      },
      "3": {
        "total_turns": 246,
        "max_turns": 4,
        "sample_games": [
          [
            "1123",
            "1232",
            "2132"
          ]
        ],
        "desc": "Entropy 4p3c"
      },
      "4": {
        "total_turns": 911,
        "max_turns": 4,
        "sample_games": [
          [
            "1123",
            "2441",
            "2234",
            "2334"
          ]
        ],
        "desc": "Entropy 4p4c"
      },
      "5": {
        "total_turns": 2476,
        "max_turns": 5,
        "sample_games": [
          [
            "1123",
            "1415",
            "2533",
            "3133"
          ]
        ],
        "desc": "Entropy 4p5c"
      },
      "6": {
        "total_turns": 5683,
        "max_turns": 6,
        "sample_games": [
          [
            "1123",
            "4532",
            "2346",
            "3415"
          ]
        ],
        "desc": "Entropy 4p6c"
      },
      "7": {
        "total_turns": 11374,
        "max_turns": 6,
        "sample_games": [
          [
            "1123",
            "4532",
            "2615",
            "3157",
            "3751"
          ]
        ],
        "desc": "Entropy 4p7c"
      },
      "8": {
        "total_turns": 20695,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2546",
            "4173",
            "4318",
            "4381"
          ]
        ],
        "desc": "Entropy 4p8c"
      },
      "9": {
        "total_turns": 34940,
        "max_turns": 7,
        "sample_games": [
          [
            "1234",
            "2546",
            "4782",
            "4172",
            "4812"
          ]
        ],
        "desc": "Entropy 4p9c"
      },
      "10": {
        "total_turns": 56225,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2546",
            "4178",
            "3792",
            "5a13",
            "5311"
          ]
        ],
        "desc": "Entropy 4p10c"
      },
      "11": {
        "total_turns": 86550,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2567",
            "6451",
            "8671",
            "79a1",
            "57a1"
          ]
        ],
        "desc": "Entropy 4p11c"
      },
      "12": {
        "total_turns": 128188,
        "max_turns": 8,
        "sample_games": [
          [
            "1234",
            "2567",
            "3869",
            "4ab6",
            "b6c1",
            "616a"
          ]
        ],
        "desc": "Entropy 4p12c"
      },
      "13": {
        "total_turns": 184094,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "59ab",
            "c69d",
            "6c6a",
            "66da"
          ]
        ],
        "desc": "Entropy 4p13c"
      },
      "14": {
        "total_turns": 257897,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "698a",
            "67b5",
            "556c",
            "6d57"
          ]
        ],
        "desc": "Entropy 4p14c"
      },
      "15": {
        "total_turns": 353108,
        "max_turns": 9,
        "sample_games": [
          [
            "1234",
            "5678",
            "5569",
            "578a",
            "5bcd",
            "7588"
          ]
        ],
        "desc": "Entropy 4p15c"
      }
    },
    "5": {
      "2": {
        "total_turns": 97,
        "max_turns": 4,
        "sample_games": [
          [
            "11122",
            "12212"
          ]
        ],
        "desc": "Entropy 5p2c"
      },
      "3": {
        "total_turns": 816,
        "max_turns": 4,
        "sample_games": [
          [
            "11123",
            "12213",
            "21321"
          ]
        ],
        "desc": "Entropy 5p3c"
      },
      "4": {
        "total_turns": 3978,
        "max_turns": 5,
        "sample_games": [
          [
            "11223",
            "13334",
            "23144",
            "23343"
          ]
        ],
        "desc": "Entropy 5p4c"
      },
      "5": {
        "total_turns": 13598,
        "max_turns": 6,
        "sample_games": [
          [
            "11223",
            "13344",
            "45242",
            "31333"
          ]
        ],
        "desc": "Entropy 5p5c"
      },
      "6": {
        "total_turns": 37533,
        "max_turns": 6,
        "sample_games": [
          [
            "11122",
            "11345",
            "44132",
            "34152"
          ]
        ],
        "desc": "Entropy 5p6c"
      },
      "7": {
        "total_turns": 86412,
        "max_turns": 7,
        "sample_games": [
          [
            "11223",
            "14156",
            "52267",
            "23643",
            "67424",
            "37513"
          ]
        ],
        "desc": "Entropy 5p7c"
      },
      "8": {
        "total_turns": 179751,
        "max_turns": 7,
        "sample_games": [
          [
            "11223",
            "14156",
            "26724",
            "41338",
            "43813"
          ]
        ],
        "desc": "Entropy 5p8c"
      },
      "9": {
        "total_turns": 342916,
        "max_turns": 8,
        "sample_games": [
          [
            "11234",
            "23453",
            "36172",
            "84712",
            "72149",
            "37841",
            "48126"
          ]
        ],
        "desc": "Entropy 5p9c"
      },
      "10": {
        "total_turns": 610748,
        "max_turns": 8,
        "sample_games": [
          [
            "11234",
            "23453",
            "63147",
            "83912",
            "51251",
            "53111"
          ]
        ],
        "desc": "Entropy 5p10c"
      },
      "11": {
        "total_turns": 1027877,
        "max_turns": 9,
        "sample_games": [
          [
            "11234",
            "56347",
            "89543",
            "2574a",
            "b3527",
            "57a13"
          ]
        ],
        "desc": "Entropy 5p11c"
      },
      "12": {
        "total_turns": 1654412,
        "max_turns": 9,
        "sample_games": [
          [
            "11234",
            "15267",
            "31876",
            "7192a",
            "2b6ac",
            "1b669",
            "616a2"
          ]
        ],
        "desc": "Entropy 5p12c"
      },
      "13": {
        "total_turns": 2563941,
        "max_turns": 10,
        "sample_games": [
          [
            "12345",
            "66789",
            "67a7b",
            "96b6c",
            "69bda",
            "66da9"
          ]
        ],
        "desc": "Entropy 5p13c"
      },
      "14": {
        "total_turns": 3846773,
        "max_turns": 10,
        "sample_games": [
          [
            "12345",
            "26789",
            "ab167",
            "9861b",
            "cd671",
            "b4c76",
            "6d57b"
          ]
        ],
        "desc": "Entropy 5p14c"
      },
      "15": {
        "total_turns": 5688085,
        "max_turns": 10,
        "sample_games": [
          [
            "11223",
            "45678",
            "4579a",
            "4b65c",
            "8de75",
            "115ff",
            "75888"
          ]
        ],
        "desc": "Entropy 5p15c"
      }
    },
    "6": {
      "2": {
        "total_turns": 226,
        "max_turns": 5,
        "sample_games": [
          [
            "111122",
            "112212",
            "111221",
            "122121"
          ]
        ],
        "desc": "Entropy 6p2c"
      },
      "3": {
        "total_turns": 2667,
        "max_turns": 5,
        "sample_games": [
          [
            "111223",
            "233121",
            "213211"
          ]
        ],
        "desc": "Entropy 6p3c"
      },
      "4": {
        "total_turns": 17444,
        "max_turns": 6,
        "sample_games": [
          [
            "111223",
            "234144",
            "332343",
            "233431"
          ]
        ],
        "desc": "Entropy 6p4c"
      },
      "5": {
        "total_turns": 74716,
        "max_turns": 6,
        "sample_games": [
          [
            "112234",
            "335532",
            "344545",
            "313333"
          ]
        ],
        "desc": "Entropy 6p5c"
      },
      "6": {
        "total_turns": 242481,
        "max_turns": 7,
        "sample_games": [
          [
            "111223",
            "224253",
            "143435",
            "431525",
            "416515",
            "341526"
          ]
        ],
        "desc": "Entropy 6p6c"
      },
      "7": {
        "total_turns": 658296,
        "max_turns": 8,
        "sample_games": [
          [
            "112234",
            "152656",
            "535374",
            "531737",
            "375137"
          ]
        ],
        "desc": "Entropy 6p7c"
      },
      "8": {
        "total_turns": 1560667,
        "max_turns": 8,
        "sample_games": [
          [
            "112233",
            "121425",
            "311567",
            "562322",
            "724138",
            "438135"
          ]
        ],
        "desc": "Entropy 6p8c"
      },
      "9": {
        "total_turns": 3339961,
        "max_turns": 9,
        "sample_games": [
          [
            "112234",
            "135613",
            "253227",
            "266184",
            "848261",
            "481266"
          ]
        ],
        "desc": "Entropy 6p9c"
      },
      "10": {
        "total_turns": 6597143,
        "max_turns": 9,
        "sample_games": [
          [
            "112234",
            "235672",
            "734418",
            "93115a",
            "396191",
            "331115",
            "531111"
          ]
        ],
        "desc": "Entropy 6p10c"
      },
      "11": {
        "total_turns": 12206753,
        "max_turns": 10,
        "sample_games": [
          [
            "112234",
            "156738",
            "13389a",
            "96b136",
            "485a36",
            "5a7157",
            "57a135"
          ]
        ],
        "desc": "Entropy 6p11c"
      },
      "12": {
        "total_turns": 21400365,
        "max_turns": 10,
        "sample_games": [
          [
            "112234",
            "156738",
            "149a3b",
            "3b5c32",
            "1c197c",
            "a42766",
            "74a24a",
            "616a26"
          ]
        ],
        "desc": "Entropy 6p12c"
      },
      "13": {
        "total_turns": 35841167,
        "max_turns": 10,
        "sample_games": [
          [
            "112345",
            "266789",
            "26a6bc",
            "368c6d",
            "46ca78",
            "d2c196",
            "66da91"
          ]
        ],
        "desc": "Entropy 6p13c"
      },
      "14": {
        "total_turns": 57815792,
        "max_turns": 11,
        "sample_games": [
          [
            "112345",
            "673859",
            "23a839",
            "8b6654",
            "65cdb3",
            "659bc1",
            "ec3566",
            "6d52b7",
            "6d57b2"
          ]
        ],
        "desc": "Entropy 6p14c"
      },
      "15": {
        "total_turns": 90213707,
        "max_turns": 11,
        "sample_games": [
          [
            "112345",
            "26789a",
            "bc389d",
            "9e749f",
            "b5e66a",
            "facc2a",
            "585878",
            "558857",
            "758888"
          ]
        ],
        "desc": "Entropy 6p15c"
      }
    },
    "7": {
      "2": {
        "total_turns": 504,
        "max_turns": 6,
        "sample_games": [
          [
            "1111222",
            "1122122",
            "1212212",
            "1112121",
            "1221212"
          ]
        ],
        "desc": "Entropy 7p2c"
      },
      "3": {
        "total_turns": 8807,
        "max_turns": 5,
        "sample_games": [
          [
            "1112223",
            "1121332",
            "2313232",
            "2132111"
          ]
        ],
        "desc": "Entropy 7p3c"
      },
      "4": {
        "total_turns": 76576,
        "max_turns": 6,
        "sample_games": [
          [
            "1112233",
            "2441311",
            "2234214",
            "2334312"
          ]
        ],
        "desc": "Entropy 7p4c"
      },
      "5": {
        "total_turns": 407251,
        "max_turns": 7,
        "sample_games": [
          [
            "1112233",
            "1142455",
            "1213112",
            "3133333"
          ]
        ],
        "desc": "Entropy 7p5c"
      },
      "6": {
        "total_turns": 1589047,
        "max_turns": 8,
        "sample_games": [
          [
            "1112233",
            "2242435",
            "4435523",
            "4615246",
            "3134154",
            "3415264"
          ]
        ],
        "desc": "Entropy 7p6c"
      },
      "7": {
        "total_turns": 5013700,
        "max_turns": 9,
        "sample_games": [
          [
            "1122334",
            "1225665",
            "5173375",
            "7711355",
            "7531375",
            "3751375"
          ]
        ],
        "desc": "Entropy 7p7c"
      },
      "8": {
        "total_turns": 13560292,
        "max_turns": 9,
        "sample_games": [
          [
            "1122334",
            "1212556",
            "1471347",
            "1486433",
            "1343544",
            "4381354"
          ]
        ],
        "desc": "Entropy 7p8c"
      },
      "9": {
        "total_turns": 32559985,
        "max_turns": 10,
        "sample_games": [
          [
            "1122334",
            "1215672",
            "1248191",
            "9412375",
            "4111686",
            "4812662"
          ]
        ],
        "desc": "Entropy 7p9c"
      },
      "10": {
        "total_turns": 71290798,
        "max_turns": 10,
        "sample_games": [
          [
            "1122334",
            "2567442",
            "6311881",
            "9481898",
            "56a61a1",
            "5311111"
          ]
        ],
        "desc": "Entropy 7p10c"
      },
      "11": {
        "total_turns": 144806198,
        "max_turns": 11,
        "sample_games": [
          [
            "1122345",
            "1133678",
            "3366945",
            "7827256",
            "862441a",
            "97b7321",
            "7751253",
            "57a1357"
          ]
        ],
        "desc": "Entropy 7p11c"
      }
    },
    "8": {
      "2": {
        "total_turns": 1119,
        "max_turns": 6,
        "sample_games": [
          [
            "11112222",
            "11121122",
            "11222211",
            "12211222",
            "12212122"
          ]
        ],
        "desc": "Entropy 8p2c"
      },
      "3": {
        "total_turns": 28774,
        "max_turns": 6,
        "sample_games": [
          [
            "11122233",
            "12323311",
            "12112312",
            "21213211",
            "21321112"
          ]
        ],
        "desc": "Entropy 8p3c"
      },
      "4": {
        "total_turns": 334959,
        "max_turns": 7,
        "sample_games": [
          [
            "11122233",
            "23413411",
            "32313323",
            "32233412",
            "23343122"
          ]
        ],
        "desc": "Entropy 8p4c"
      },
      "5": {
        "total_turns": 2224143,
        "max_turns": 8,
        "sample_games": [
          [
            "11122334",
            "14424555",
            "11213111",
            "31333333"
          ]
        ],
        "desc": "Entropy 8p5c"
      },
      "6": {
        "total_turns": 10405318,
        "max_turns": 9,
        "sample_games": [
          [
            "11122334",
            "23523235",
            "66132643",
            "12435442",
            "56142413",
            "34152641"
          ]
        ],
        "desc": "Entropy 8p6c"
      },
      "7": {
        "total_turns": 38221315,
        "max_turns": 10,
        "sample_games": [
          [
            "11122334",
            "55633262",
            "66317173",
            "47436616",
            "53371717",
            "37513751"
          ]
        ],
        "desc": "Entropy 8p7c"
      },
      "8": {
        "total_turns": 120160686,
        "max_turns": 10,
        "sample_games": [
          [
            "12345678",
            "23411234",
            "27733283",
            "23884345",
            "83811242",
            "41837517",
            "43813547"
          ]
        ],
        "desc": "Entropy 8p8c"
      }
    }
  }
}