{
  "rows": [
    {
      "N": 3,
      "u": 0,
      "split": "train",
      "observed_Rg": 0.8537930077015154,
      "standard_error_Rg": 0.0010068260178089292,
      "exact_Rg": 0.8544003745317532,
      "exact_contacts": 0.16000000000000003,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8536690462489673,
        "updated": 0.8499978167823032
      }
    },
    {
      "N": 4,
      "u": 0,
      "split": "train",
      "observed_Rg": 0.9921008013301874,
      "standard_error_Rg": 0.0012872451011030693,
      "exact_Rg": 0.9948628378403239,
      "exact_contacts": 0.2644628099173554,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9925270602451068,
        "updated": 0.9909036194292622
      }
    },
    {
      "N": 5,
      "u": 0,
      "split": "train",
      "observed_Rg": 1.1172411457594005,
      "standard_error_Rg": 0.0015673261810666536,
      "exact_Rg": 1.1203095012574915,
      "exact_contacts": 0.45500848896434637,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.1169461915345715,
        "updated": 1.1194316443458603
      }
    },
    {
      "N": 6,
      "u": 0,
      "split": "train",
      "observed_Rg": 1.2406186738388032,
      "standard_error_Rg": 0.0018095458312681353,
      "exact_Rg": 1.2399740073292644,
      "exact_contacts": 0.6012052463665367,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.2409503333244807,
        "updated": 1.2481027780887268
      }
    },
    {
      "N": 7,
      "u": 0,
      "split": "train",
      "observed_Rg": 1.3486022857017557,
      "standard_error_Rg": 0.0020522939809744893,
      "exact_Rg": 1.3506766130120516,
      "exact_contacts": 0.7952819756726871,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.3494903609917075,
        "updated": 1.3598427690104726
      }
    },
    {
      "N": 8,
      "u": 0,
      "split": "train",
      "observed_Rg": 1.4587818357946618,
      "standard_error_Rg": 0.0022751113345720097,
      "exact_Rg": 1.4575523273807127,
      "exact_contacts": 0.9598366867199702,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.4582179740161125,
        "updated": 1.4691298184730197
      }
    },
    {
      "N": 9,
      "u": 0,
      "split": "train",
      "observed_Rg": 1.5614288328322876,
      "standard_error_Rg": 0.002497245496347893,
      "exact_Rg": 1.5582089360244347,
      "exact_contacts": 1.1555014709642342,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.561717010252353,
        "updated": 1.5708615976546458
      }
    },
    {
      "N": 10,
      "u": 0,
      "split": "train",
      "observed_Rg": 1.6550963118963478,
      "standard_error_Rg": 0.0027048785859695823,
      "exact_Rg": 1.656113536498539,
      "exact_contacts": 1.3302994661220056,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.6535483791876116,
        "updated": 1.6598705540993521
      }
    },
    {
      "N": 3,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 0.8474004366295783,
      "standard_error_Rg": 0.0010293061770617195,
      "exact_Rg": 0.848529436803958,
      "exact_contacts": 0.196513685638316,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8479859394369695,
        "updated": 0.8439852603817937
      }
    },
    {
      "N": 4,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 0.9858235136169152,
      "standard_error_Rg": 0.0013055354144945385,
      "exact_Rg": 0.9853453757836678,
      "exact_contacts": 0.31585201126026663,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.984495328858928,
        "updated": 0.9827262033579909
      }
    },
    {
      "N": 5,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 1.1024996850591637,
      "standard_error_Rg": 0.0016030226596766316,
      "exact_Rg": 1.10179808755561,
      "exact_contacts": 0.566718562454516,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.1018258421620621,
        "updated": 1.104534335078411
      }
    },
    {
      "N": 6,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 1.2164333948398625,
      "standard_error_Rg": 0.0018492424989322675,
      "exact_Rg": 1.2147315987959082,
      "exact_contacts": 0.752914453828108,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.2176200624829951,
        "updated": 1.2254143548914243
      }
    },
    {
      "N": 7,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 1.3212848860105832,
      "standard_error_Rg": 0.002101778462447324,
      "exact_Rg": 1.3150996912727075,
      "exact_contacts": 1.0248489801161749,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.3172395053992962,
        "updated": 1.3285209200608925
      }
    },
    {
      "N": 8,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 1.4127479570409778,
      "standard_error_Rg": 0.002324319709171124,
      "exact_Rg": 1.4138279210098592,
      "exact_contacts": 1.2459902536659753,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.4150447953585403,
        "updated": 1.4269358492870632
      }
    },
    {
      "N": 9,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 1.5049186024499797,
      "standard_error_Rg": 0.0025518341656851178,
      "exact_Rg": 1.5033780212675953,
      "exact_contacts": 1.5317472918915362,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.5052720938938626,
        "updated": 1.5152373002697583
      }
    },
    {
      "N": 10,
      "u": 0.25,
      "split": "train",
      "observed_Rg": 1.5839484088768394,
      "standard_error_Rg": 0.0027568492400089724,
      "exact_Rg": 1.5922228160861522,
      "exact_contacts": 1.7771162746790496,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.5878613087725495,
        "updated": 1.5947508243918338
      }
    },
    {
      "N": 3,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 0.8420213774008354,
      "standard_error_Rg": 0.0010514114115802993,
      "exact_Rg": 0.8416483526189781,
      "exact_contacts": 0.2389894019493855,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8411015864305991,
        "updated": 0.836809484341001
      }
    },
    {
      "N": 4,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 0.9720617264351066,
      "standard_error_Rg": 0.0013179877654206046,
      "exact_Rg": 0.9748075708603579,
      "exact_contacts": 0.37217425801489645,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9738903030207087,
        "updated": 0.9719923084166402
      }
    },
    {
      "N": 5,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 1.0804860017603188,
      "standard_error_Rg": 0.0016269555503347077,
      "exact_Rg": 1.080634456516182,
      "exact_contacts": 0.6953960010106768,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.0816834521230918,
        "updated": 1.0845892408518534
      }
    },
    {
      "N": 6,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 1.1870818275528114,
      "standard_error_Rg": 0.0018731676824794014,
      "exact_Rg": 1.185784714111495,
      "exact_contacts": 0.9278046759012288,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.1866350872215254,
        "updated": 1.1949971423306143
      }
    },
    {
      "N": 7,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 1.2736831434858513,
      "standard_error_Rg": 0.0021276816882634777,
      "exact_Rg": 1.273116562054868,
      "exact_contacts": 1.304368178191115,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.27572700471212,
        "updated": 1.2878301958891316
      }
    },
    {
      "N": 8,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 1.3632613401257594,
      "standard_error_Rg": 0.0023398793244946477,
      "exact_Rg": 1.3622874067353687,
      "exact_contacts": 1.5921150348423878,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.3618807271784938,
        "updated": 1.3746379658147965
      }
    },
    {
      "N": 9,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 1.441486038780813,
      "standard_error_Rg": 0.0025610749187417034,
      "exact_Rg": 1.4373066707070397,
      "exact_contacts": 2.005696968598907,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.4387846912508866,
        "updated": 1.4494757970655163
      }
    },
    {
      "N": 10,
      "u": 0.5,
      "split": "train",
      "observed_Rg": 1.515915564930976,
      "standard_error_Rg": 0.0027521413074543507,
      "exact_Rg": 1.5149847909899288,
      "exact_contacts": 2.3420244824944763,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.5129501672729682,
        "updated": 1.5203415385821941
      }
    },
    {
      "N": 3,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 0.8332466621595312,
      "standard_error_Rg": 0.0010713877849327588,
      "exact_Rg": 0.8337427162464711,
      "exact_contacts": 0.2873625643869709,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8336563800467567,
        "updated": 0.8291230167641673
      }
    },
    {
      "N": 4,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 0.9626255762236946,
      "standard_error_Rg": 0.001322199254487725,
      "exact_Rg": 0.9634508992076971,
      "exact_contacts": 0.43219517367075116,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.961835922000751,
        "updated": 0.959831240176083
      }
    },
    {
      "N": 5,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 1.058652182940386,
      "standard_error_Rg": 0.001632120140741277,
      "exact_Rg": 1.0573771230770794,
      "exact_contacts": 0.8377224114778231,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.0584851677341154,
        "updated": 1.0615542922924184
      }
    },
    {
      "N": 6,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 1.1536543534988888,
      "standard_error_Rg": 0.0018728785761117997,
      "exact_Rg": 1.1539509677348223,
      "exact_contacts": 1.1210322163249216,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.150807215207693,
        "updated": 1.1596393055930552
      }
    },
    {
      "N": 7,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 1.2250242344541598,
      "standard_error_Rg": 0.002116744718137251,
      "exact_Rg": 1.2256250096482917,
      "exact_contacts": 1.635001665904983,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.228264883480665,
        "updated": 1.2410484010528584
      }
    },
    {
      "N": 8,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 1.3026696235608428,
      "standard_error_Rg": 0.002299637655013579,
      "exact_Rg": 1.3051190588487311,
      "exact_contacts": 1.9882676098269032,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.3020421747339126,
        "updated": 1.3155165040983525
      }
    },
    {
      "N": 9,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 1.3627208077959327,
      "standard_error_Rg": 0.0024892091437981943,
      "exact_Rg": 1.363110262764296,
      "exact_contacts": 2.568936340624809,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.3651912791933696,
        "updated": 1.376483337382708
      }
    },
    {
      "N": 10,
      "u": 0.75,
      "split": "train",
      "observed_Rg": 1.4306422299382346,
      "standard_error_Rg": 0.002644872090211691,
      "exact_Rg": 1.4291190115610597,
      "exact_contacts": 3.0062537655937245,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.431099397224759,
        "updated": 1.4389062411911309
      }
    },
    {
      "N": 3,
      "u": 1,
      "split": "train",
      "observed_Rg": 0.8258783203353869,
      "standard_error_Rg": 0.0010871152203716017,
      "exact_Rg": 0.8248652954840234,
      "exact_contacts": 0.3411377618134177,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8262776725549011,
        "updated": 0.8215637206092113
      }
    },
    {
      "N": 4,
      "u": 1,
      "split": "train",
      "observed_Rg": 0.9514157871298963,
      "standard_error_Rg": 0.001316104715018967,
      "exact_Rg": 0.9515620489902273,
      "exact_contacts": 0.49427513345635116,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9494930438143353,
        "updated": 0.9474085045443025
      }
    },
    {
      "N": 5,
      "u": 1,
      "split": "train",
      "observed_Rg": 1.0300647228855735,
      "standard_error_Rg": 0.001612631259496995,
      "exact_Rg": 1.032965683178756,
      "exact_contacts": 0.9879742471870429,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.0343701272823334,
        "updated": 1.037561511864006
      }
    },
    {
      "N": 6,
      "u": 1,
      "split": "train",
      "observed_Rg": 1.1182438856327819,
      "standard_error_Rg": 0.001842405605677022,
      "exact_Rg": 1.1205325779532518,
      "exact_contacts": 1.3248387648948516,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.1132888046966196,
        "updated": 1.122472725565367
      }
    },
    {
      "N": 7,
      "u": 1,
      "split": "train",
      "observed_Rg": 1.1736641342394338,
      "standard_error_Rg": 0.002061828311276524,
      "exact_Rg": 1.1740996195920106,
      "exact_contacts": 2.017493319767114,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.1786365348588956,
        "updated": 1.1919292898789122
      }
    },
    {
      "N": 8,
      "u": 1,
      "split": "train",
      "observed_Rg": 1.2442837197796337,
      "standard_error_Rg": 0.002189628607872889,
      "exact_Rg": 1.246111761993257,
      "exact_contacts": 2.413906915603153,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.2394200682841747,
        "updated": 1.2534311539097867
      }
    },
    {
      "N": 9,
      "u": 1,
      "split": "train",
      "observed_Rg": 1.2861189680585539,
      "standard_error_Rg": 0.0023126547916510766,
      "exact_Rg": 1.2870300477250538,
      "exact_contacts": 3.1894952017339007,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.2880752467192498,
        "updated": 1.2998171293689162
      }
    },
    {
      "N": 10,
      "u": 1,
      "split": "train",
      "observed_Rg": 1.3456295954921855,
      "standard_error_Rg": 0.0024108074948803494,
      "exact_Rg": 1.3435060831149976,
      "exact_contacts": 3.718235730926355,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.3452361379368323,
        "updated": 1.3533539712122529
      }
    },
    {
      "N": 3,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 0.8507202830543068,
      "standard_error_Rg": 0.0010180206907928174,
      "exact_Rg": 0.8515881310716914,
      "exact_contacts": 0.1775218704998781,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8510161411557678,
        "updated": 0.8471762328580739
      }
    },
    {
      "N": 4,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 0.9895696034135244,
      "standard_error_Rg": 0.0012969667858456786,
      "exact_Rg": 0.9902405952671323,
      "exact_contacts": 0.28948214308102305,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9888978849002218,
        "updated": 0.9871998532418408
      }
    },
    {
      "N": 5,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 1.1108030128395103,
      "standard_error_Rg": 0.001586214577151991,
      "exact_Rg": 1.111404703832501,
      "exact_contacts": 0.5086335682091963,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.1101233638728418,
        "updated": 1.1127230136523654
      }
    },
    {
      "N": 6,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 1.2260955118104107,
      "standard_error_Rg": 0.0018308163332688154,
      "exact_Rg": 1.2278453634343616,
      "exact_contacts": 0.673991319607449,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.2303952723886602,
        "updated": 1.237876344396938
      }
    },
    {
      "N": 7,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 1.3360693282910134,
      "standard_error_Rg": 0.0020790736393291554,
      "exact_Rg": 1.3337135314908513,
      "exact_contacts": 0.90397579377627,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.3347008407823062,
        "updated": 1.345528902011748
      }
    },
    {
      "N": 8,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 1.439306245778084,
      "standard_error_Rg": 0.002302516249493828,
      "exact_Rg": 1.4367317890054045,
      "exact_contacts": 1.095243205052379,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.438055756312729,
        "updated": 1.449468957926437
      }
    },
    {
      "N": 9,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 1.5346237323852385,
      "standard_error_Rg": 0.002528063631003943,
      "exact_Rg": 1.532266270413205,
      "exact_contacts": 1.331666370610573,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.5349016912995628,
        "updated": 1.5444664372147665
      }
    },
    {
      "N": 10,
      "u": 0.125,
      "split": "validation",
      "observed_Rg": 1.6253879384359977,
      "standard_error_Rg": 0.0027351664698818446,
      "exact_Rg": 1.6259451513100631,
      "exact_contacts": 1.539023228099229,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.6219727185094281,
        "updated": 1.6285853729685145
      }
    },
    {
      "N": 3,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 0.8444598865547137,
      "standard_error_Rg": 0.0010405051860297963,
      "exact_Rg": 0.8452174389536425,
      "exact_contacts": 0.21700123454983605,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8446544570015162,
        "updated": 0.8405025261747463
      }
    },
    {
      "N": 4,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 0.9809954128333119,
      "standard_error_Rg": 0.0013126450090434688,
      "exact_Rg": 0.9801935925253128,
      "exact_contacts": 0.3434628181475665,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9794467211081384,
        "updated": 0.9776107111202184
      }
    },
    {
      "N": 5,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 1.0915661531334995,
      "standard_error_Rg": 0.001616900573563971,
      "exact_Rg": 1.0915223506342153,
      "exact_contacts": 0.6290838554295397,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.092266417753426,
        "updated": 1.095077309374169
      }
    },
    {
      "N": 6,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 1.2005899910171716,
      "standard_error_Rg": 0.0018637294899479407,
      "exact_Rg": 1.2006830237449169,
      "exact_contacts": 0.8376861670053666,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.2029206927326668,
        "updated": 1.211009660249706
      }
    },
    {
      "N": 7,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 1.2972374493515055,
      "standard_error_Rg": 0.002118585321548924,
      "exact_Rg": 1.2948708965475326,
      "exact_contacts": 1.1582528949736721,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.2974495930402983,
        "updated": 1.3091575187841684
      }
    },
    {
      "N": 8,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 1.386970230305282,
      "standard_error_Rg": 0.0023377502266546672,
      "exact_Rg": 1.3889415617107734,
      "exact_contacts": 1.4119036076034932,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.389521971528286,
        "updated": 1.401862584881098
      }
    },
    {
      "N": 9,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 1.4727932645147448,
      "standard_error_Rg": 0.002564385443647714,
      "exact_Rg": 1.471631959083022,
      "exact_contacts": 1.7565275681602412,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.4731182695663667,
        "updated": 1.483460225763447
      }
    },
    {
      "N": 10,
      "u": 0.375,
      "split": "validation",
      "observed_Rg": 1.5545491759657744,
      "standard_error_Rg": 0.0027645308333880047,
      "exact_Rg": 1.5550927812470556,
      "exact_contacts": 2.0451822121701433,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.5514324027314252,
        "updated": 1.558582386993275
      }
    },
    {
      "N": 3,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 0.8388608347038262,
      "standard_error_Rg": 0.0010617913576156923,
      "exact_Rg": 0.8378220680042415,
      "exact_contacts": 0.26245875298556814,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8374087187432894,
        "updated": 0.8329890113843825
      }
    },
    {
      "N": 4,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 0.9702205934734637,
      "standard_error_Rg": 0.0013212650490551556,
      "exact_Rg": 0.9692154654820079,
      "exact_contacts": 0.4018168796223664,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.967970974545784,
        "updated": 0.9660165520871251
      }
    },
    {
      "N": 5,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 1.0700415360577777,
      "standard_error_Rg": 0.0016323016226042792,
      "exact_Rg": 1.069216907599921,
      "exact_contacts": 0.7651597344077223,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.0703337850096626,
        "updated": 1.0733259635645622
      }
    },
    {
      "N": 6,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 1.1703078262419957,
      "standard_error_Rg": 0.001876513351043049,
      "exact_Rg": 1.1701567051411423,
      "exact_contacts": 1.0225555219865963,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.1691333700579993,
        "updated": 1.177744031158254
      }
    },
    {
      "N": 7,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 1.248007161437786,
      "standard_error_Rg": 0.00212746532080778,
      "exact_Rg": 1.2499755939802197,
      "exact_contacts": 1.4632666051047258,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.2525095416947176,
        "updated": 1.264972563774489
      }
    },
    {
      "N": 8,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 1.335213489195041,
      "standard_error_Rg": 0.0023279287104283866,
      "exact_Rg": 1.3341992129774884,
      "exact_contacts": 1.7850103581639574,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.3325617466735715,
        "updated": 1.3456982612072874
      }
    },
    {
      "N": 9,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 1.403483523237804,
      "standard_error_Rg": 0.0025373033816271265,
      "exact_Rg": 1.4008968960108399,
      "exact_contacts": 2.277575220809736,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.4026643392073153,
        "updated": 1.4136732942734787
      }
    },
    {
      "N": 10,
      "u": 0.625,
      "split": "validation",
      "observed_Rg": 1.473046542273013,
      "standard_error_Rg": 0.002713777358388229,
      "exact_Rg": 1.4726463599395598,
      "exact_contacts": 2.6642602808015523,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.472722816399745,
        "updated": 1.480333935027834
      }
    },
    {
      "N": 3,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 0.8296158749686507,
      "standard_error_Rg": 0.0010799248911106485,
      "exact_Rg": 0.8294191504757725,
      "exact_contacts": 0.3136245790095656,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8299219686845843,
        "updated": 0.8252901551409032
      }
    },
    {
      "N": 4,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 0.959424827696261,
      "standard_error_Rg": 0.0013205458359759747,
      "exact_Rg": 0.9575523140453145,
      "exact_contacts": 0.4630921373197067,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9556302885748909,
        "updated": 0.9535820714240772
      }
    },
    {
      "N": 5,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 1.0420705883533568,
      "standard_error_Rg": 0.0016257258790597772,
      "exact_Rg": 1.0452445818577438,
      "exact_contacts": 0.9122928139109217,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.0464084968857594,
        "updated": 1.0495442730877216
      }
    },
    {
      "N": 6,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 1.1368879829228058,
      "standard_error_Rg": 0.0018616189519757031,
      "exact_Rg": 1.1373450148841282,
      "exact_contacts": 1.2221770840489532,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.1320586633329786,
        "updated": 1.1410825586874602
      }
    },
    {
      "N": 7,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 1.196613711688112,
      "standard_error_Rg": 0.0020948834644193897,
      "exact_Rg": 1.2002640485418217,
      "exact_contacts": 1.8196865616074356,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.2034777265807457,
        "updated": 1.2165388615782808
      }
    },
    {
      "N": 8,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 1.2730356448609046,
      "standard_error_Rg": 0.0022536204488358916,
      "exact_Rg": 1.2755694638386357,
      "exact_contacts": 2.1989892685333308,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.2708237243140694,
        "updated": 1.2845906733432646
      }
    },
    {
      "N": 9,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 1.324881126743075,
      "standard_error_Rg": 0.002414416574195252,
      "exact_Rg": 1.3248278936818583,
      "exact_contacts": 2.874981548799615,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.3268319270359317,
        "updated": 1.3383692128868763
      }
    },
    {
      "N": 10,
      "u": 0.875,
      "split": "validation",
      "observed_Rg": 1.3818050238607984,
      "standard_error_Rg": 0.0025434154951016917,
      "exact_Rg": 1.3856434365639752,
      "exact_contacts": 3.360472775103073,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.3884652399769157,
        "updated": 1.396441623814434
      }
    },
    {
      "N": 3,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 0.8129344992064244,
      "standard_error_Rg": 0.0010962997135813058,
      "exact_Rg": 0.8151485941342232,
      "exact_contacts": 0.399337071147998,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8195114409522889,
        "updated": 0.8146857008577109
      }
    },
    {
      "N": 4,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 0.941500929367571,
      "standard_error_Rg": 0.0012983389583428291,
      "exact_Rg": 0.9394882149167105,
      "exact_contacts": 0.5565321252727486,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9379264796880822,
        "updated": 0.9357925069938298
      }
    },
    {
      "N": 5,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 1.0078276969138458,
      "standard_error_Rg": 0.0015656817808214834,
      "exact_Rg": 1.0085951331022762,
      "exact_contacts": 1.1388326946549499,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 1.0114075800302855,
        "updated": 1.014674646116328
      }
    },
    {
      "N": 6,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 1.0906186224303327,
      "standard_error_Rg": 0.0017806039450376234,
      "exact_Rg": 1.087076481788853,
      "exact_contacts": 1.5300425921718834,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.0772191082623408,
        "updated": 1.0866208195382205
      }
    },
    {
      "N": 7,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 1.120407292014828,
      "standard_error_Rg": 0.0019639362485828096,
      "exact_Rg": 1.1202075026348088,
      "exact_contacts": 2.452337120782963,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.1306862073082031,
        "updated": 1.1442941909292819
      }
    },
    {
      "N": 8,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 1.1887071512185097,
      "standard_error_Rg": 0.0020127852316671607,
      "exact_Rg": 1.1896276802316537,
      "exact_contacts": 2.842803656043123,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.1780943454728428,
        "updated": 1.192437694418923
      }
    },
    {
      "N": 9,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 1.2147460639985626,
      "standard_error_Rg": 0.002039040889417346,
      "exact_Rg": 1.2167095493037392,
      "exact_contacts": 3.8143598820631466,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.211374582628927,
        "updated": 1.2233949160012554
      }
    },
    {
      "N": 10,
      "u": 1.25,
      "split": "new",
      "observed_Rg": 1.2652853857679762,
      "standard_error_Rg": 0.0020745687199872705,
      "exact_Rg": 1.267612951330762,
      "exact_contacts": 4.40965749234357,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.2587657919910804,
        "updated": 1.2670761341349195
      }
    },
    {
      "N": 3,
      "u": 1.5,
      "split": "new",
      "observed_Rg": 0.8040522371090078,
      "standard_error_Rg": 0.0010967596471044571,
      "exact_Rg": 0.8048063801565123,
      "exact_contacts": 0.4605253042863995,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8137694070563972,
        "updated": 0.8089058182131642
      }
    },
    {
      "N": 4,
      "u": 1.5,
      "split": "adapt",
      "observed_Rg": 0.9258423191883163,
      "standard_error_Rg": 0.0012685094134908942,
      "exact_Rg": 0.9275985197028245,
      "exact_contacts": 0.6170627382296707,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9279931853544404,
        "updated": 0.925842475704911
      }
    },
    {
      "N": 5,
      "u": 1.5,
      "split": "new",
      "observed_Rg": 0.9862808930522785,
      "standard_error_Rg": 0.0014928442148118854,
      "exact_Rg": 0.9854810500682218,
      "exact_contacts": 1.2828508246390475,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 0.9913754631305394,
        "updated": 0.9946681531334743
      }
    },
    {
      "N": 6,
      "u": 1.5,
      "split": "adapt",
      "observed_Rg": 1.0548624051873075,
      "standard_error_Rg": 0.0016918618585275358,
      "exact_Rg": 1.0550313954391224,
      "exact_contacts": 1.7280597758649177,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.0453867424936458,
        "updated": 1.0548621923049692
      }
    },
    {
      "N": 7,
      "u": 1.5,
      "split": "new",
      "observed_Rg": 1.0670066190047744,
      "standard_error_Rg": 0.0018266949701729904,
      "exact_Rg": 1.0659128029351606,
      "exact_contacts": 2.9317078676693282,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.087912779398999,
        "updated": 1.1016274917584017
      }
    },
    {
      "N": 8,
      "u": 1.5,
      "split": "adapt",
      "observed_Rg": 1.1363858673470788,
      "standard_error_Rg": 0.0017887833915850675,
      "exact_Rg": 1.139255041196168,
      "exact_contacts": 3.2497805556274963,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.1219299943447947,
        "updated": 1.1363858395709252
      }
    },
    {
      "N": 9,
      "u": 1.5,
      "split": "new",
      "observed_Rg": 1.1589572899809555,
      "standard_error_Rg": 0.0017090099432066558,
      "exact_Rg": 1.1582652035401981,
      "exact_contacts": 4.383981278147517,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.1390414886776203,
        "updated": 1.1511560986930418
      }
    },
    {
      "N": 10,
      "u": 1.5,
      "split": "new",
      "observed_Rg": 1.2078298276503951,
      "standard_error_Rg": 0.0017000886758556189,
      "exact_Rg": 1.207096352625071,
      "exact_contacts": 5.022429169885601,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.1753364506019812,
        "updated": 1.1837119715670732
      }
    },
    {
      "N": 3,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 0.7923225353352005,
      "standard_error_Rg": 0.0010867585284460115,
      "exact_Rg": 0.7941203690248995,
      "exact_contacts": 0.5229268920860705,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8092979582970982,
        "updated": 0.8044722182025202
      }
    },
    {
      "N": 4,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 0.9156986403833961,
      "standard_error_Rg": 0.0012272984300979778,
      "exact_Rg": 0.9162401271233651,
      "exact_contacts": 0.6741684626518814,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.920265982352962,
        "updated": 0.9181320096587094
      }
    },
    {
      "N": 5,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 0.9649668963809644,
      "standard_error_Rg": 0.001399939302141626,
      "exact_Rg": 0.9646076970682899,
      "exact_contacts": 1.4139768293979311,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 0.9755897214235288,
        "updated": 0.9788567875095712
      }
    },
    {
      "N": 6,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 1.025819731945618,
      "standard_error_Rg": 0.0015845834260841587,
      "exact_Rg": 1.025464989810338,
      "exact_contacts": 1.912481040920187,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.0199535563597397,
        "updated": 1.0293552676356195
      }
    },
    {
      "N": 7,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 1.0118084057765087,
      "standard_error_Rg": 0.001649855696935034,
      "exact_Rg": 1.0141759315983876,
      "exact_contacts": 3.425781186017515,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.0531223519188946,
        "updated": 1.0667303355399733
      }
    },
    {
      "N": 8,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 1.0960659167345552,
      "standard_error_Rg": 0.0015448618051758112,
      "exact_Rg": 1.0970061931472237,
      "exact_contacts": 3.615430798615698,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.0742075537647133,
        "updated": 1.0885509027107938
      }
    },
    {
      "N": 9,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 1.1122023197242488,
      "standard_error_Rg": 0.0013757998857002335,
      "exact_Rg": 1.1141831139254486,
      "exact_contacts": 4.854113509692772,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.0746953811743298,
        "updated": 1.0867157145466582
      }
    },
    {
      "N": 10,
      "u": 1.75,
      "split": "new",
      "observed_Rg": 1.1641028894346421,
      "standard_error_Rg": 0.00135054350708106,
      "exact_Rg": 1.1625407661247007,
      "exact_contacts": 5.525597909824126,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.098556423632481,
        "updated": 1.10686676577632
      }
    },
    {
      "N": 3,
      "u": 2,
      "split": "new",
      "observed_Rg": 0.7841555968046138,
      "standard_error_Rg": 0.001065306626556946,
      "exact_Rg": 0.783412253572487,
      "exact_contacts": 0.5846208800003518,
      "predictions": {
        "N_only": 0.8405349687438876,
        "conditioned": 0.8061713569974476,
        "updated": 0.8014574050517579
      }
    },
    {
      "N": 4,
      "u": 2,
      "split": "new",
      "observed_Rg": 0.9051673878349794,
      "standard_error_Rg": 0.0011763648453280429,
      "exact_Rg": 0.905699711074666,
      "exact_contacts": 0.7265323213533925,
      "predictions": {
        "N_only": 0.9724604031100652,
        "conditioned": 0.9150007113236898,
        "updated": 0.9129161720536569
      }
    },
    {
      "N": 5,
      "u": 2,
      "split": "new",
      "observed_Rg": 0.9433421672142323,
      "standard_error_Rg": 0.0012954588483836602,
      "exact_Rg": 0.9465665770042213,
      "exact_contacts": 1.5284926898220978,
      "predictions": {
        "N_only": 1.0786399044167234,
        "conditioned": 0.9648042531531571,
        "updated": 0.9679956377348298
      }
    },
    {
      "N": 6,
      "u": 2,
      "split": "new",
      "observed_Rg": 0.999599919967984,
      "standard_error_Rg": 0.001468292744679654,
      "exact_Rg": 0.9989587181926635,
      "exact_contacts": 2.079601338189332,
      "predictions": {
        "N_only": 1.1818893530641317,
        "conditioned": 1.0022737072520091,
        "updated": 1.0114576281207563
      }
    },
    {
      "N": 7,
      "u": 2,
      "split": "new",
      "observed_Rg": 0.9686201525882062,
      "standard_error_Rg": 0.0014347362688340757,
      "exact_Rg": 0.96892922979879,
      "exact_contacts": 3.8832104819600253,
      "predictions": {
        "N_only": 1.269839396923912,
        "conditioned": 1.0281832890072635,
        "updated": 1.0414760440272801
      }
    },
    {
      "N": 8,
      "u": 2,
      "split": "new",
      "observed_Rg": 1.06315858310955,
      "standard_error_Rg": 0.0013053545019521718,
      "exact_Rg": 1.0633232399361414,
      "exact_contacts": 3.928057845275119,
      "predictions": {
        "N_only": 1.3553496887040346,
        "conditioned": 1.037334716739852,
        "updated": 1.0513458023654638
      }
    },
    {
      "N": 9,
      "u": 2,
      "split": "new",
      "observed_Rg": 1.0825303690890153,
      "standard_error_Rg": 0.001079966099868885,
      "exact_Rg": 1.0834066305317753,
      "exact_contacts": 5.209979873488526,
      "predictions": {
        "N_only": 1.4317911105620953,
        "conditioned": 1.0213122298878843,
        "updated": 1.0330541125375508
      }
    },
    {
      "N": 10,
      "u": 2,
      "split": "new",
      "observed_Rg": 1.1315257015300804,
      "standard_error_Rg": 0.0010599197792951667,
      "exact_Rg": 1.1313303911630292,
      "exact_contacts": 5.915470154117042,
      "predictions": {
        "N_only": 1.5061439012067983,
        "conditioned": 1.0316981835698054,
        "updated": 1.039816016845226
      }
    }
  ],
  "histograms": {
    "1": [
      [
        0,
        1,
        1
      ]
    ],
    "2": [
      [
        0,
        4,
        4
      ],
      [
        0,
        6,
        1
      ]
    ],
    "3": [
      [
        0,
        10,
        8
      ],
      [
        0,
        12,
        4
      ],
      [
        0,
        14,
        8
      ],
      [
        0,
        20,
        1
      ],
      [
        1,
        8,
        4
      ]
    ],
    "4": [
      [
        0,
        18,
        8
      ],
      [
        0,
        22,
        8
      ],
      [
        0,
        24,
        16
      ],
      [
        0,
        26,
        20
      ],
      [
        0,
        28,
        12
      ],
      [
        0,
        30,
        4
      ],
      [
        0,
        32,
        12
      ],
      [
        0,
        38,
        8
      ],
      [
        0,
        50,
        1
      ],
      [
        1,
        16,
        16
      ],
      [
        1,
        20,
        16
      ]
    ],
    "5": [
      [
        0,
        35,
        16
      ],
      [
        0,
        37,
        32
      ],
      [
        0,
        41,
        8
      ],
      [
        0,
        43,
        24
      ],
      [
        0,
        45,
        40
      ],
      [
        0,
        49,
        80
      ],
      [
        0,
        51,
        24
      ],
      [
        0,
        53,
        8
      ],
      [
        0,
        55,
        32
      ],
      [
        0,
        57,
        20
      ],
      [
        0,
        61,
        40
      ],
      [
        0,
        65,
        4
      ],
      [
        0,
        67,
        8
      ],
      [
        0,
        69,
        16
      ],
      [
        0,
        73,
        8
      ],
      [
        0,
        85,
        8
      ],
      [
        0,
        105,
        1
      ],
      [
        1,
        27,
        8
      ],
      [
        1,
        29,
        8
      ],
      [
        1,
        31,
        16
      ],
      [
        1,
        33,
        48
      ],
      [
        1,
        37,
        56
      ],
      [
        1,
        41,
        20
      ],
      [
        1,
        49,
        16
      ],
      [
        2,
        25,
        32
      ],
      [
        2,
        33,
        16
      ]
    ],
    "6": [
      [
        0,
        52,
        8
      ],
      [
        0,
        56,
        16
      ],
      [
        0,
        58,
        40
      ],
      [
        0,
        60,
        24
      ],
      [
        0,
        62,
        16
      ],
      [
        0,
        64,
        64
      ],
      [
        0,
        66,
        40
      ],
      [
        0,
        68,
        44
      ],
      [
        0,
        70,
        16
      ],
      [
        0,
        72,
        64
      ],
      [
        0,
        74,
        16
      ],
      [
        0,
        76,
        92
      ],
      [
        0,
        78,
        104
      ],
      [
        0,
        80,
        48
      ],
      [
        0,
        82,
        16
      ],
      [
        0,
        84,
        104
      ],
      [
        0,
        86,
        80
      ],
      [
        0,
        88,
        88
      ],
      [
        0,
        90,
        56
      ],
      [
        0,
        92,
        40
      ],
      [
        0,
        94,
        56
      ],
      [
        0,
        96,
        52
      ],
      [
        0,
        98,
        96
      ],
      [
        0,
        100,
        48
      ],
      [
        0,
        102,
        16
      ],
      [
        0,
        104,
        28
      ],
      [
        0,
        106,
        48
      ],
      [
        0,
        108,
        12
      ],
      [
        0,
        110,
        16
      ],
      [
        0,
        112,
        44
      ],
      [
        0,
        114,
        16
      ],
      [
        0,
        116,
        8
      ],
      [
        0,
        118,
        24
      ],
      [
        0,
        120,
        16
      ],
      [
        0,
        122,
        8
      ],
      [
        0,
        124,
        12
      ],
      [
        0,
        126,
        16
      ],
      [
        0,
        136,
        20
      ],
      [
        0,
        138,
        8
      ],
      [
        0,
        140,
        4
      ],
      [
        0,
        146,
        8
      ],
      [
        0,
        166,
        8
      ],
      [
        0,
        196,
        1
      ],
      [
        1,
        48,
        48
      ],
      [
        1,
        50,
        32
      ],
      [
        1,
        52,
        48
      ],
      [
        1,
        54,
        64
      ],
      [
        1,
        56,
        48
      ],
      [
        1,
        58,
        48
      ],
      [
        1,
        60,
        144
      ],
      [
        1,
        62,
        24
      ],
      [
        1,
        64,
        64
      ],
      [
        1,
        66,
        16
      ],
      [
        1,
        68,
        88
      ],
      [
        1,
        70,
        64
      ],
      [
        1,
        72,
        56
      ],
      [
        1,
        74,
        8
      ],
      [
        1,
        76,
        8
      ],
      [
        1,
        80,
        32
      ],
      [
        1,
        82,
        32
      ],
      [
        1,
        84,
        32
      ],
      [
        1,
        86,
        8
      ],
      [
        1,
        88,
        16
      ],
      [
        1,
        106,
        16
      ],
      [
        2,
        42,
        32
      ],
      [
        2,
        44,
        64
      ],
      [
        2,
        46,
        64
      ],
      [
        2,
        48,
        80
      ],
      [
        2,
        52,
        56
      ],
      [
        2,
        56,
        8
      ],
      [
        2,
        58,
        24
      ],
      [
        2,
        64,
        24
      ],
      [
        3,
        36,
        32
      ]
    ],
    "7": [
      [
        0,
        80,
        8
      ],
      [
        0,
        82,
        48
      ],
      [
        0,
        86,
        64
      ],
      [
        0,
        88,
        32
      ],
      [
        0,
        90,
        32
      ],
      [
        0,
        92,
        48
      ],
      [
        0,
        94,
        120
      ],
      [
        0,
        96,
        24
      ],
      [
        0,
        98,
        112
      ],
      [
        0,
        100,
        16
      ],
      [
        0,
        102,
        192
      ],
      [
        0,
        104,
        72
      ],
      [
        0,
        106,
        176
      ],
      [
        0,
        108,
        72
      ],
      [
        0,
        110,
        160
      ],
      [
        0,
        112,
        32
      ],
      [
        0,
        114,
        160
      ],
      [
        0,
        116,
        32
      ],
      [
        0,
        118,
        256
      ],
      [
        0,
        120,
        64
      ],
      [
        0,
        122,
        256
      ],
      [
        0,
        124,
        152
      ],
      [
        0,
        126,
        272
      ],
      [
        0,
        128,
        32
      ],
      [
        0,
        130,
        208
      ],
      [
        0,
        132,
        64
      ],
      [
        0,
        134,
        200
      ],
      [
        0,
        136,
        104
      ],
      [
        0,
        138,
        256
      ],
      [
        0,
        140,
        48
      ],
      [
        0,
        142,
        280
      ],
      [
        0,
        144,
        80
      ],
      [
        0,
        146,
        240
      ],
      [
        0,
        148,
        16
      ],
      [
        0,
        150,
        280
      ],
      [
        0,
        152,
        168
      ],
      [
        0,
        154,
        256
      ],
      [
        0,
        156,
        92
      ],
      [
        0,
        158,
        144
      ],
      [
        0,
        160,
        28
      ],
      [
        0,
        162,
        208
      ],
      [
        0,
        166,
        112
      ],
      [
        0,
        168,
        88
      ],
      [
        0,
        170,
        96
      ],
      [
        0,
        172,
        24
      ],
      [
        0,
        174,
        176
      ],
      [
        0,
        176,
        12
      ],
      [
        0,
        178,
        48
      ],
      [
        0,
        182,
        104
      ],
      [
        0,
        184,
        56
      ],
      [
        0,
        186,
        80
      ],
      [
        0,
        190,
        16
      ],
      [
        0,
        192,
        40
      ],
      [
        0,
        194,
        48
      ],
      [
        0,
        196,
        16
      ],
      [
        0,
        198,
        56
      ],
      [
        0,
        200,
        32
      ],
      [
        0,
        202,
        16
      ],
      [
        0,
        204,
        16
      ],
      [
        0,
        206,
        16
      ],
      [
        0,
        208,
        4
      ],
      [
        0,
        210,
        32
      ],
      [
        0,
        214,
        32
      ],
      [
        0,
        216,
        24
      ],
      [
        0,
        222,
        8
      ],
      [
        0,
        224,
        8
      ],
      [
        0,
        226,
        16
      ],
      [
        0,
        230,
        8
      ],
      [
        0,
        234,
        16
      ],
      [
        0,
        240,
        4
      ],
      [
        0,
        246,
        16
      ],
      [
        0,
        252,
        4
      ],
      [
        0,
        254,
        8
      ],
      [
        0,
        256,
        4
      ],
      [
        0,
        264,
        8
      ],
      [
        0,
        294,
        8
      ],
      [
        0,
        336,
        1
      ],
      [
        1,
        70,
        32
      ],
      [
        1,
        72,
        16
      ],
      [
        1,
        74,
        32
      ],
      [
        1,
        76,
        16
      ],
      [
        1,
        78,
        120
      ],
      [
        1,
        80,
        56
      ],
      [
        1,
        82,
        208
      ],
      [
        1,
        86,
        288
      ],
      [
        1,
        88,
        96
      ],
      [
        1,
        90,
        240
      ],
      [
        1,
        92,
        184
      ],
      [
        1,
        94,
        288
      ],
      [
        1,
        96,
        40
      ],
      [
        1,
        98,
        320
      ],
      [
        1,
        100,
        16
      ],
      [
        1,
        102,
        216
      ],
      [
        1,
        104,
        96
      ],
      [
        1,
        106,
        240
      ],
      [
        1,
        108,
        120
      ],
      [
        1,
        110,
        288
      ],
      [
        1,
        112,
        4
      ],
      [
        1,
        114,
        224
      ],
      [
        1,
        116,
        96
      ],
      [
        1,
        118,
        128
      ],
      [
        1,
        120,
        64
      ],
      [
        1,
        122,
        208
      ],
      [
        1,
        124,
        80
      ],
      [
        1,
        126,
        80
      ],
      [
        1,
        128,
        8
      ],
      [
        1,
        130,
        112
      ],
      [
        1,
        132,
        32
      ],
      [
        1,
        134,
        64
      ],
      [
        1,
        138,
        112
      ],
      [
        1,
        140,
        64
      ],
      [
        1,
        142,
        24
      ],
      [
        1,
        144,
        8
      ],
      [
        1,
        146,
        16
      ],
      [
        1,
        148,
        32
      ],
      [
        1,
        150,
        40
      ],
      [
        1,
        156,
        36
      ],
      [
        1,
        164,
        16
      ],
      [
        1,
        166,
        16
      ],
      [
        1,
        168,
        8
      ],
      [
        1,
        170,
        32
      ],
      [
        1,
        174,
        16
      ],
      [
        1,
        204,
        16
      ],
      [
        2,
        66,
        48
      ],
      [
        2,
        68,
        16
      ],
      [
        2,
        70,
        336
      ],
      [
        2,
        72,
        72
      ],
      [
        2,
        74,
        224
      ],
      [
        2,
        76,
        104
      ],
      [
        2,
        78,
        200
      ],
      [
        2,
        80,
        32
      ],
      [
        2,
        82,
        160
      ],
      [
        2,
        84,
        128
      ],
      [
        2,
        86,
        80
      ],
      [
        2,
        88,
        88
      ],
      [
        2,
        90,
        144
      ],
      [
        2,
        92,
        68
      ],
      [
        2,
        94,
        24
      ],
      [
        2,
        96,
        12
      ],
      [
        2,
        98,
        48
      ],
      [
        2,
        102,
        80
      ],
      [
        2,
        104,
        32
      ],
      [
        2,
        108,
        48
      ],
      [
        2,
        112,
        20
      ],
      [
        2,
        126,
        24
      ],
      [
        3,
        58,
        48
      ],
      [
        3,
        60,
        72
      ],
      [
        3,
        62,
        192
      ],
      [
        3,
        64,
        56
      ],
      [
        3,
        66,
        192
      ],
      [
        3,
        72,
        112
      ],
      [
        3,
        78,
        48
      ],
      [
        3,
        96,
        28
      ],
      [
        5,
        48,
        24
      ]
    ],
    "8": [
      [
        0,
        106,
        24
      ],
      [
        0,
        108,
        8
      ],
      [
        0,
        112,
        16
      ],
      [
        0,
        114,
        32
      ],
      [
        0,
        116,
        32
      ],
      [
        0,
        118,
        136
      ],
      [
        0,
        122,
        40
      ],
      [
        0,
        124,
        80
      ],
      [
        0,
        126,
        168
      ],
      [
        0,
        128,
        48
      ],
      [
        0,
        130,
        208
      ],
      [
        0,
        132,
        96
      ],
      [
        0,
        134,
        136
      ],
      [
        0,
        136,
        104
      ],
      [
        0,
        138,
        120
      ],
      [
        0,
        140,
        112
      ],
      [
        0,
        142,
        368
      ],
      [
        0,
        144,
        336
      ],
      [
        0,
        146,
        128
      ],
      [
        0,
        148,
        192
      ],
      [
        0,
        150,
        336
      ],
      [
        0,
        152,
        104
      ],
      [
        0,
        154,
        488
      ],
      [
        0,
        156,
        64
      ],
      [
        0,
        158,
        112
      ],
      [
        0,
        160,
        460
      ],
      [
        0,
        162,
        512
      ],
      [
        0,
        164,
        168
      ],
      [
        0,
        166,
        520
      ],
      [
        0,
        168,
        304
      ],
      [
        0,
        170,
        120
      ],
      [
        0,
        172,
        496
      ],
      [
        0,
        174,
        400
      ],
      [
        0,
        176,
        240
      ],
      [
        0,
        178,
        720
      ],
      [
        0,
        180,
        452
      ],
      [
        0,
        182,
        192
      ],
      [
        0,
        184,
        488
      ],
      [
        0,
        186,
        448
      ],
      [
        0,
        188,
        244
      ],
      [
        0,
        190,
        624
      ],
      [
        0,
        192,
        216
      ],
      [
        0,
        194,
        280
      ],
      [
        0,
        196,
        440
      ],
      [
        0,
        198,
        440
      ],
      [
        0,
        200,
        336
      ],
      [
        0,
        202,
        552
      ],
      [
        0,
        204,
        352
      ],
      [
        0,
        206,
        248
      ],
      [
        0,
        208,
        604
      ],
      [
        0,
        210,
        368
      ],
      [
        0,
        212,
        88
      ],
      [
        0,
        214,
        808
      ],
      [
        0,
        216,
        500
      ],
      [
        0,
        218,
        320
      ],
      [
        0,
        220,
        704
      ],
      [
        0,
        222,
        176
      ],
      [
        0,
        224,
        188
      ],
      [
        0,
        226,
        680
      ],
      [
        0,
        228,
        656
      ],
      [
        0,
        230,
        128
      ],
      [
        0,
        232,
        588
      ],
      [
        0,
        234,
        424
      ],
      [
        0,
        236,
        80
      ],
      [
        0,
        238,
        672
      ],
      [
        0,
        240,
        128
      ],
      [
        0,
        242,
        64
      ],
      [
        0,
        244,
        640
      ],
      [
        0,
        246,
        360
      ],
      [
        0,
        248,
        112
      ],
      [
        0,
        250,
        480
      ],
      [
        0,
        252,
        288
      ],
      [
        0,
        254,
        96
      ],
      [
        0,
        256,
        376
      ],
      [
        0,
        258,
        48
      ],
      [
        0,
        260,
        40
      ],
      [
        0,
        262,
        312
      ],
      [
        0,
        264,
        336
      ],
      [
        0,
        266,
        80
      ],
      [
        0,
        268,
        280
      ],
      [
        0,
        270,
        176
      ],
      [
        0,
        272,
        32
      ],
      [
        0,
        274,
        296
      ],
      [
        0,
        276,
        32
      ],
      [
        0,
        278,
        40
      ],
      [
        0,
        280,
        228
      ],
      [
        0,
        282,
        144
      ],
      [
        0,
        284,
        40
      ],
      [
        0,
        286,
        256
      ],
      [
        0,
        288,
        88
      ],
      [
        0,
        290,
        16
      ],
      [
        0,
        292,
        152
      ],
      [
        0,
        298,
        160
      ],
      [
        0,
        300,
        128
      ],
      [
        0,
        302,
        8
      ],
      [
        0,
        304,
        140
      ],
      [
        0,
        306,
        120
      ],
      [
        0,
        308,
        16
      ],
      [
        0,
        310,
        64
      ],
      [
        0,
        316,
        76
      ],
      [
        0,
        318,
        64
      ],
      [
        0,
        320,
        16
      ],
      [
        0,
        322,
        72
      ],
      [
        0,
        324,
        60
      ],
      [
        0,
        326,
        8
      ],
      [
        0,
        328,
        72
      ],
      [
        0,
        334,
        56
      ],
      [
        0,
        340,
        36
      ],
      [
        0,
        342,
        16
      ],
      [
        0,
        344,
        20
      ],
      [
        0,
        346,
        16
      ],
      [
        0,
        348,
        16
      ],
      [
        0,
        352,
        40
      ],
      [
        0,
        354,
        32
      ],
      [
        0,
        358,
        16
      ],
      [
        0,
        360,
        20
      ],
      [
        0,
        364,
        48
      ],
      [
        0,
        370,
        32
      ],
      [
        0,
        382,
        8
      ],
      [
        0,
        386,
        8
      ],
      [
        0,
        390,
        16
      ],
      [
        0,
        394,
        8
      ],
      [
        0,
        400,
        24
      ],
      [
        0,
        414,
        16
      ],
      [
        0,
        428,
        4
      ],
      [
        0,
        430,
        8
      ],
      [
        0,
        432,
        4
      ],
      [
        0,
        442,
        8
      ],
      [
        0,
        484,
        8
      ],
      [
        0,
        540,
        1
      ],
      [
        1,
        100,
        16
      ],
      [
        1,
        102,
        32
      ],
      [
        1,
        104,
        16
      ],
      [
        1,
        106,
        80
      ],
      [
        1,
        108,
        96
      ],
      [
        1,
        110,
        96
      ],
      [
        1,
        112,
        144
      ],
      [
        1,
        114,
        240
      ],
      [
        1,
        116,
        128
      ],
      [
        1,
        118,
        576
      ],
      [
        1,
        120,
        208
      ],
      [
        1,
        122,
        192
      ],
      [
        1,
        124,
        432
      ],
      [
        1,
        126,
        496
      ],
      [
        1,
        128,
        208
      ],
      [
        1,
        130,
        496
      ],
      [
        1,
        132,
        368
      ],
      [
        1,
        134,
        224
      ],
      [
        1,
        136,
        608
      ],
      [
        1,
        138,
        416
      ],
      [
        1,
        140,
        296
      ],
      [
        1,
        142,
        840
      ],
      [
        1,
        144,
        768
      ],
      [
        1,
        146,
        376
      ],
      [
        1,
        148,
        800
      ],
      [
        1,
        150,
        416
      ],
      [
        1,
        152,
        240
      ],
      [
        1,
        154,
        936
      ],
      [
        1,
        156,
        400
      ],
      [
        1,
        158,
        216
      ],
      [
        1,
        160,
        712
      ],
      [
        1,
        162,
        584
      ],
      [
        1,
        164,
        216
      ],
      [
        1,
        166,
        816
      ],
      [
        1,
        168,
        416
      ],
      [
        1,
        170,
        240
      ],
      [
        1,
        172,
        512
      ],
      [
        1,
        174,
        256
      ],
      [
        1,
        176,
        320
      ],
      [
        1,
        178,
        512
      ],
      [
        1,
        180,
        704
      ],
      [
        1,
        182,
        280
      ],
      [
        1,
        184,
        472
      ],
      [
        1,
        186,
        224
      ],
      [
        1,
        188,
        200
      ],
      [
        1,
        190,
        328
      ],
      [
        1,
        192,
        224
      ],
      [
        1,
        194,
        192
      ],
      [
        1,
        196,
        344
      ],
      [
        1,
        198,
        248
      ],
      [
        1,
        200,
        120
      ],
      [
        1,
        202,
        296
      ],
      [
        1,
        204,
        304
      ],
      [
        1,
        206,
        136
      ],
      [
        1,
        208,
        336
      ],
      [
        1,
        210,
        112
      ],
      [
        1,
        212,
        88
      ],
      [
        1,
        214,
        144
      ],
      [
        1,
        216,
        152
      ],
      [
        1,
        218,
        8
      ],
      [
        1,
        220,
        112
      ],
      [
        1,
        222,
        160
      ],
      [
        1,
        224,
        72
      ],
      [
        1,
        226,
        104
      ],
      [
        1,
        228,
        48
      ],
      [
        1,
        230,
        56
      ],
      [
        1,
        232,
        144
      ],
      [
        1,
        234,
        56
      ],
      [
        1,
        236,
        56
      ],
      [
        1,
        238,
        120
      ],
      [
        1,
        242,
        40
      ],
      [
        1,
        244,
        32
      ],
      [
        1,
        246,
        32
      ],
      [
        1,
        248,
        16
      ],
      [
        1,
        250,
        144
      ],
      [
        1,
        254,
        8
      ],
      [
        1,
        256,
        64
      ],
      [
        1,
        258,
        80
      ],
      [
        1,
        262,
        16
      ],
      [
        1,
        266,
        16
      ],
      [
        1,
        268,
        48
      ],
      [
        1,
        270,
        16
      ],
      [
        1,
        274,
        16
      ],
      [
        1,
        276,
        32
      ],
      [
        1,
        278,
        16
      ],
      [
        1,
        284,
        16
      ],
      [
        1,
        298,
        16
      ],
      [
        1,
        302,
        8
      ],
      [
        1,
        306,
        16
      ],
      [
        1,
        310,
        32
      ],
      [
        1,
        314,
        16
      ],
      [
        1,
        358,
        16
      ],
      [
        2,
        94,
        72
      ],
      [
        2,
        96,
        80
      ],
      [
        2,
        98,
        144
      ],
      [
        2,
        100,
        168
      ],
      [
        2,
        102,
        360
      ],
      [
        2,
        104,
        168
      ],
      [
        2,
        106,
        488
      ],
      [
        2,
        108,
        520
      ],
      [
        2,
        110,
        240
      ],
      [
        2,
        112,
        680
      ],
      [
        2,
        114,
        240
      ],
      [
        2,
        116,
        272
      ],
      [
        2,
        118,
        496
      ],
      [
        2,
        120,
        352
      ],
      [
        2,
        122,
        272
      ],
      [
        2,
        124,
        592
      ],
      [
        2,
        126,
        400
      ],
      [
        2,
        128,
        384
      ],
      [
        2,
        130,
        480
      ],
      [
        2,
        132,
        432
      ],
      [
        2,
        134,
        64
      ],
      [
        2,
        136,
        580
      ],
      [
        2,
        138,
        128
      ],
      [
        2,
        140,
        104
      ],
      [
        2,
        142,
        472
      ],
      [
        2,
        144,
        436
      ],
      [
        2,
        146,
        56
      ],
      [
        2,
        148,
        472
      ],
      [
        2,
        150,
        128
      ],
      [
        2,
        152,
        112
      ],
      [
        2,
        154,
        224
      ],
      [
        2,
        156,
        160
      ],
      [
        2,
        158,
        16
      ],
      [
        2,
        160,
        216
      ],
      [
        2,
        162,
        192
      ],
      [
        2,
        164,
        32
      ],
      [
        2,
        166,
        112
      ],
      [
        2,
        168,
        48
      ],
      [
        2,
        170,
        8
      ],
      [
        2,
        172,
        152
      ],
      [
        2,
        174,
        16
      ],
      [
        2,
        176,
        24
      ],
      [
        2,
        178,
        72
      ],
      [
        2,
        180,
        56
      ],
      [
        2,
        184,
        48
      ],
      [
        2,
        190,
        72
      ],
      [
        2,
        196,
        48
      ],
      [
        2,
        198,
        24
      ],
      [
        2,
        200,
        24
      ],
      [
        2,
        202,
        24
      ],
      [
        2,
        208,
        32
      ],
      [
        2,
        216,
        16
      ],
      [
        2,
        234,
        24
      ],
      [
        3,
        84,
        16
      ],
      [
        3,
        86,
        32
      ],
      [
        3,
        88,
        96
      ],
      [
        3,
        90,
        288
      ],
      [
        3,
        92,
        256
      ],
      [
        3,
        94,
        688
      ],
      [
        3,
        96,
        288
      ],
      [
        3,
        98,
        64
      ],
      [
        3,
        100,
        752
      ],
      [
        3,
        102,
        224
      ],
      [
        3,
        104,
        336
      ],
      [
        3,
        106,
        272
      ],
      [
        3,
        108,
        464
      ],
      [
        3,
        112,
        448
      ],
      [
        3,
        114,
        48
      ],
      [
        3,
        116,
        16
      ],
      [
        3,
        118,
        96
      ],
      [
        3,
        120,
        48
      ],
      [
        3,
        122,
        32
      ],
      [
        3,
        124,
        192
      ],
      [
        3,
        126,
        24
      ],
      [
        3,
        128,
        24
      ],
      [
        3,
        130,
        24
      ],
      [
        3,
        136,
        112
      ],
      [
        3,
        144,
        32
      ],
      [
        3,
        160,
        32
      ],
      [
        4,
        82,
        192
      ],
      [
        4,
        84,
        240
      ],
      [
        4,
        88,
        240
      ],
      [
        4,
        90,
        80
      ],
      [
        4,
        108,
        20
      ],
      [
        5,
        76,
        144
      ]
    ],
    "9": [
      [
        0,
        145,
        64
      ],
      [
        0,
        149,
        48
      ],
      [
        0,
        153,
        64
      ],
      [
        0,
        157,
        64
      ],
      [
        0,
        159,
        128
      ],
      [
        0,
        161,
        104
      ],
      [
        0,
        163,
        72
      ],
      [
        0,
        165,
        208
      ],
      [
        0,
        167,
        80
      ],
      [
        0,
        169,
        200
      ],
      [
        0,
        171,
        16
      ],
      [
        0,
        173,
        320
      ],
      [
        0,
        175,
        48
      ],
      [
        0,
        177,
        312
      ],
      [
        0,
        179,
        192
      ],
      [
        0,
        181,
        624
      ],
      [
        0,
        183,
        160
      ],
      [
        0,
        185,
        504
      ],
      [
        0,
        187,
        112
      ],
      [
        0,
        189,
        704
      ],
      [
        0,
        191,
        224
      ],
      [
        0,
        193,
        576
      ],
      [
        0,
        195,
        104
      ],
      [
        0,
        197,
        496
      ],
      [
        0,
        199,
        528
      ],
      [
        0,
        201,
        1104
      ],
      [
        0,
        203,
        272
      ],
      [
        0,
        205,
        680
      ],
      [
        0,
        207,
        288
      ],
      [
        0,
        209,
        1096
      ],
      [
        0,
        211,
        256
      ],
      [
        0,
        213,
        1248
      ],
      [
        0,
        215,
        320
      ],
      [
        0,
        217,
        816
      ],
      [
        0,
        219,
        560
      ],
      [
        0,
        221,
        1296
      ],
      [
        0,
        223,
        384
      ],
      [
        0,
        225,
        1256
      ],
      [
        0,
        227,
        184
      ],
      [
        0,
        229,
        1504
      ],
      [
        0,
        231,
        432
      ],
      [
        0,
        233,
        1264
      ],
      [
        0,
        235,
        400
      ],
      [
        0,
        237,
        1200
      ],
      [
        0,
        239,
        720
      ],
      [
        0,
        241,
        1448
      ],
      [
        0,
        243,
        432
      ],
      [
        0,
        245,
        1736
      ],
      [
        0,
        247,
        480
      ],
      [
        0,
        249,
        2056
      ],
      [
        0,
        251,
        656
      ],
      [
        0,
        253,
        1136
      ],
      [
        0,
        255,
        560
      ],
      [
        0,
        257,
        1504
      ],
      [
        0,
        259,
        400
      ],
      [
        0,
        261,
        1912
      ],
      [
        0,
        263,
        464
      ],
      [
        0,
        265,
        1472
      ],
      [
        0,
        267,
        416
      ],
      [
        0,
        269,
        2136
      ],
      [
        0,
        271,
        912
      ],
      [
        0,
        273,
        1256
      ],
      [
        0,
        275,
        624
      ],
      [
        0,
        277,
        1312
      ],
      [
        0,
        279,
        704
      ],
      [
        0,
        281,
        2168
      ],
      [
        0,
        283,
        520
      ],
      [
        0,
        285,
        1888
      ],
      [
        0,
        287,
        400
      ],
      [
        0,
        289,
        1832
      ],
      [
        0,
        291,
        656
      ],
      [
        0,
        293,
        1200
      ],
      [
        0,
        295,
        560
      ],
      [
        0,
        297,
        1424
      ],
      [
        0,
        299,
        448
      ],
      [
        0,
        301,
        2048
      ],
      [
        0,
        303,
        320
      ],
      [
        0,
        305,
        1456
      ],
      [
        0,
        307,
        352
      ],
      [
        0,
        309,
        1976
      ],
      [
        0,
        311,
        720
      ],
      [
        0,
        313,
        1608
      ],
      [
        0,
        315,
        600
      ],
      [
        0,
        317,
        1200
      ],
      [
        0,
        319,
        752
      ],
      [
        0,
        321,
        2108
      ],
      [
        0,
        323,
        672
      ],
      [
        0,
        325,
        1368
      ],
      [
        0,
        327,
        448
      ],
      [
        0,
        329,
        2200
      ],
      [
        0,
        331,
        608
      ],
      [
        0,
        333,
        1720
      ],
      [
        0,
        335,
        448
      ],
      [
        0,
        337,
        1416
      ],
      [
        0,
        339,
        576
      ],
      [
        0,
        341,
        1776
      ],
      [
        0,
        343,
        576
      ],
      [
        0,
        345,
        964
      ],
      [
        0,
        347,
        552
      ],
      [
        0,
        349,
        1640
      ],
      [
        0,
        351,
        624
      ],
      [
        0,
        353,
        1432
      ],
      [
        0,
        355,
        280
      ],
      [
        0,
        357,
        1032
      ],
      [
        0,
        359,
        448
      ],
      [
        0,
        361,
        1104
      ],
      [
        0,
        363,
        448
      ],
      [
        0,
        365,
        748
      ],
      [
        0,
        367,
        512
      ],
      [
        0,
        369,
        1432
      ],
      [
        0,
        371,
        544
      ],
      [
        0,
        373,
        1136
      ],
      [
        0,
        375,
        144
      ],
      [
        0,
        377,
        800
      ],
      [
        0,
        379,
        208
      ],
      [
        0,
        381,
        1288
      ],
      [
        0,
        383,
        256
      ],
      [
        0,
        385,
        372
      ],
      [
        0,
        387,
        216
      ],
      [
        0,
        389,
        928
      ],
      [
        0,
        391,
        176
      ],
      [
        0,
        393,
        760
      ],
      [
        0,
        395,
        96
      ],
      [
        0,
        397,
        584
      ],
      [
        0,
        399,
        272
      ],
      [
        0,
        401,
        740
      ],
      [
        0,
        403,
        144
      ],
      [
        0,
        405,
        288
      ],
      [
        0,
        407,
        176
      ],
      [
        0,
        409,
        656
      ],
      [
        0,
        411,
        416
      ],
      [
        0,
        413,
        488
      ],
      [
        0,
        415,
        64
      ],
      [
        0,
        417,
        376
      ],
      [
        0,
        419,
        176
      ],
      [
        0,
        421,
        536
      ],
      [
        0,
        423,
        192
      ],
      [
        0,
        425,
        84
      ],
      [
        0,
        427,
        48
      ],
      [
        0,
        429,
        336
      ],
      [
        0,
        431,
        112
      ],
      [
        0,
        433,
        312
      ],
      [
        0,
        435,
        112
      ],
      [
        0,
        437,
        416
      ],
      [
        0,
        439,
        112
      ],
      [
        0,
        441,
        288
      ],
      [
        0,
        443,
        96
      ],
      [
        0,
        445,
        136
      ],
      [
        0,
        447,
        112
      ],
      [
        0,
        449,
        272
      ],
      [
        0,
        451,
        80
      ],
      [
        0,
        453,
        312
      ],
      [
        0,
        455,
        16
      ],
      [
        0,
        457,
        144
      ],
      [
        0,
        459,
        80
      ],
      [
        0,
        461,
        192
      ],
      [
        0,
        463,
        64
      ],
      [
        0,
        465,
        172
      ],
      [
        0,
        467,
        24
      ],
      [
        0,
        469,
        136
      ],
      [
        0,
        473,
        184
      ],
      [
        0,
        475,
        32
      ],
      [
        0,
        477,
        216
      ],
      [
        0,
        479,
        80
      ],
      [
        0,
        481,
        80
      ],
      [
        0,
        483,
        40
      ],
      [
        0,
        485,
        92
      ],
      [
        0,
        487,
        32
      ],
      [
        0,
        489,
        80
      ],
      [
        0,
        491,
        64
      ],
      [
        0,
        493,
        128
      ],
      [
        0,
        497,
        72
      ],
      [
        0,
        499,
        48
      ],
      [
        0,
        501,
        96
      ],
      [
        0,
        503,
        48
      ],
      [
        0,
        505,
        36
      ],
      [
        0,
        507,
        32
      ],
      [
        0,
        509,
        32
      ],
      [
        0,
        513,
        96
      ],
      [
        0,
        517,
        64
      ],
      [
        0,
        519,
        16
      ],
      [
        0,
        521,
        32
      ],
      [
        0,
        523,
        32
      ],
      [
        0,
        525,
        36
      ],
      [
        0,
        529,
        80
      ],
      [
        0,
        531,
        16
      ],
      [
        0,
        533,
        48
      ],
      [
        0,
        537,
        48
      ],
      [
        0,
        541,
        56
      ],
      [
        0,
        543,
        16
      ],
      [
        0,
        549,
        16
      ],
      [
        0,
        553,
        32
      ],
      [
        0,
        557,
        24
      ],
      [
        0,
        561,
        16
      ],
      [
        0,
        563,
        16
      ],
      [
        0,
        569,
        20
      ],
      [
        0,
        571,
        16
      ],
      [
        0,
        573,
        48
      ],
      [
        0,
        577,
        32
      ],
      [
        0,
        579,
        16
      ],
      [
        0,
        585,
        36
      ],
      [
        0,
        591,
        32
      ],
      [
        0,
        597,
        16
      ],
      [
        0,
        599,
        16
      ],
      [
        0,
        613,
        8
      ],
      [
        0,
        625,
        12
      ],
      [
        0,
        629,
        16
      ],
      [
        0,
        633,
        16
      ],
      [
        0,
        641,
        16
      ],
      [
        0,
        657,
        16
      ],
      [
        0,
        681,
        4
      ],
      [
        0,
        683,
        8
      ],
      [
        0,
        685,
        4
      ],
      [
        0,
        697,
        8
      ],
      [
        0,
        753,
        8
      ],
      [
        0,
        825,
        1
      ],
      [
        1,
        133,
        48
      ],
      [
        1,
        137,
        40
      ],
      [
        1,
        139,
        32
      ],
      [
        1,
        141,
        152
      ],
      [
        1,
        143,
        32
      ],
      [
        1,
        145,
        112
      ],
      [
        1,
        149,
        288
      ],
      [
        1,
        151,
        144
      ],
      [
        1,
        153,
        568
      ],
      [
        1,
        155,
        80
      ],
      [
        1,
        157,
        480
      ],
      [
        1,
        159,
        480
      ],
      [
        1,
        161,
        960
      ],
      [
        1,
        163,
        288
      ],
      [
        1,
        165,
        792
      ],
      [
        1,
        167,
        288
      ],
      [
        1,
        169,
        1024
      ],
      [
        1,
        171,
        384
      ],
      [
        1,
        173,
        1536
      ],
      [
        1,
        175,
        640
      ],
      [
        1,
        177,
        1216
      ],
      [
        1,
        179,
        416
      ],
      [
        1,
        181,
        2024
      ],
      [
        1,
        183,
        560
      ],
      [
        1,
        185,
        1608
      ],
      [
        1,
        187,
        400
      ],
      [
        1,
        189,
        2368
      ],
      [
        1,
        191,
        944
      ],
      [
        1,
        193,
        1456
      ],
      [
        1,
        195,
        488
      ],
      [
        1,
        197,
        1768
      ],
      [
        1,
        199,
        912
      ],
      [
        1,
        201,
        2288
      ],
      [
        1,
        203,
        560
      ],
      [
        1,
        205,
        2016
      ],
      [
        1,
        207,
        880
      ],
      [
        1,
        209,
        2928
      ],
      [
        1,
        211,
        832
      ],
      [
        1,
        213,
        1744
      ],
      [
        1,
        215,
        1232
      ],
      [
        1,
        217,
        1776
      ],
      [
        1,
        219,
        656
      ],
      [
        1,
        221,
        3008
      ],
      [
        1,
        223,
        816
      ],
      [
        1,
        225,
        2052
      ],
      [
        1,
        227,
        680
      ],
      [
        1,
        229,
        2696
      ],
      [
        1,
        231,
        1440
      ],
      [
        1,
        233,
        1968
      ],
      [
        1,
        235,
        688
      ],
      [
        1,
        237,
        1880
      ],
      [
        1,
        239,
        1152
      ],
      [
        1,
        241,
        2720
      ],
      [
        1,
        243,
        368
      ],
      [
        1,
        245,
        2168
      ],
      [
        1,
        247,
        656
      ],
      [
        1,
        249,
        2228
      ],
      [
        1,
        251,
        656
      ],
      [
        1,
        253,
        1256
      ],
      [
        1,
        255,
        1040
      ],
      [
        1,
        257,
        1864
      ],
      [
        1,
        259,
        624
      ],
      [
        1,
        261,
        2112
      ],
      [
        1,
        263,
        336
      ],
      [
        1,
        265,
        1368
      ],
      [
        1,
        267,
        464
      ],
      [
        1,
        269,
        2240
      ],
      [
        1,
        271,
        864
      ],
      [
        1,
        273,
        1144
      ],
      [
        1,
        275,
        576
      ],
      [
        1,
        277,
        1112
      ],
      [
        1,
        279,
        672
      ],
      [
        1,
        281,
        1876
      ],
      [
        1,
        283,
        384
      ],
      [
        1,
        285,
        1328
      ],
      [
        1,
        287,
        352
      ],
      [
        1,
        289,
        1288
      ],
      [
        1,
        291,
        448
      ],
      [
        1,
        293,
        752
      ],
      [
        1,
        295,
        480
      ],
      [
        1,
        297,
        1056
      ],
      [
        1,
        299,
        528
      ],
      [
        1,
        301,
        1240
      ],
      [
        1,
        303,
        208
      ],
      [
        1,
        305,
        1008
      ],
      [
        1,
        307,
        240
      ],
      [
        1,
        309,
        848
      ],
      [
        1,
        311,
        304
      ],
      [
        1,
        313,
        384
      ],
      [
        1,
        315,
        208
      ],
      [
        1,
        317,
        488
      ],
      [
        1,
        319,
        208
      ],
      [
        1,
        321,
        704
      ],
      [
        1,
        323,
        192
      ],
      [
        1,
        325,
        848
      ],
      [
        1,
        327,
        176
      ],
      [
        1,
        329,
        588
      ],
      [
        1,
        331,
        160
      ],
      [
        1,
        333,
        432
      ],
      [
        1,
        335,
        80
      ],
      [
        1,
        337,
        192
      ],
      [
        1,
        339,
        160
      ],
      [
        1,
        341,
        608
      ],
      [
        1,
        343,
        96
      ],
      [
        1,
        345,
        492
      ],
      [
        1,
        347,
        80
      ],
      [
        1,
        349,
        248
      ],
      [
        1,
        351,
        112
      ],
      [
        1,
        353,
        392
      ],
      [
        1,
        355,
        32
      ],
      [
        1,
        357,
        232
      ],
      [
        1,
        359,
        64
      ],
      [
        1,
        361,
        280
      ],
      [
        1,
        365,
        288
      ],
      [
        1,
        367,
        32
      ],
      [
        1,
        369,
        144
      ],
      [
        1,
        371,
        32
      ],
      [
        1,
        373,
        152
      ],
      [
        1,
        375,
        48
      ],
      [
        1,
        377,
        120
      ],
      [
        1,
        379,
        32
      ],
      [
        1,
        381,
        328
      ],
      [
        1,
        385,
        152
      ],
      [
        1,
        387,
        32
      ],
      [
        1,
        389,
        144
      ],
      [
        1,
        391,
        32
      ],
      [
        1,
        393,
        64
      ],
      [
        1,
        395,
        32
      ],
      [
        1,
        397,
        32
      ],
      [
        1,
        399,
        16
      ],
      [
        1,
        401,
        64
      ],
      [
        1,
        403,
        32
      ],
      [
        1,
        405,
        208
      ],
      [
        1,
        407,
        32
      ],
      [
        1,
        409,
        80
      ],
      [
        1,
        413,
        8
      ],
      [
        1,
        417,
        32
      ],
      [
        1,
        421,
        64
      ],
      [
        1,
        425,
        64
      ],
      [
        1,
        429,
        64
      ],
      [
        1,
        431,
        16
      ],
      [
        1,
        433,
        32
      ],
      [
        1,
        437,
        32
      ],
      [
        1,
        441,
        124
      ],
      [
        1,
        445,
        72
      ],
      [
        1,
        449,
        8
      ],
      [
        1,
        453,
        32
      ],
      [
        1,
        457,
        8
      ],
      [
        1,
        461,
        16
      ],
      [
        1,
        465,
        40
      ],
      [
        1,
        473,
        32
      ],
      [
        1,
        481,
        16
      ],
      [
        1,
        501,
        16
      ],
      [
        1,
        505,
        8
      ],
      [
        1,
        517,
        16
      ],
      [
        1,
        521,
        32
      ],
      [
        1,
        525,
        16
      ],
      [
        1,
        585,
        16
      ],
      [
        2,
        125,
        32
      ],
      [
        2,
        129,
        128
      ],
      [
        2,
        131,
        16
      ],
      [
        2,
        133,
        128
      ],
      [
        2,
        135,
        256
      ],
      [
        2,
        137,
        320
      ],
      [
        2,
        139,
        176
      ],
      [
        2,
        141,
        656
      ],
      [
        2,
        143,
        464
      ],
      [
        2,
        145,
        888
      ],
      [
        2,
        147,
        152
      ],
      [
        2,
        149,
        1872
      ],
      [
        2,
        151,
        736
      ],
      [
        2,
        153,
        936
      ],
      [
        2,
        155,
        440
      ],
      [
        2,
        157,
        1216
      ],
      [
        2,
        159,
        912
      ],
      [
        2,
        161,
        2032
      ],
      [
        2,
        163,
        424
      ],
      [
        2,
        165,
        1800
      ],
      [
        2,
        167,
        656
      ],
      [
        2,
        169,
        2440
      ],
      [
        2,
        171,
        896
      ],
      [
        2,
        173,
        2128
      ],
      [
        2,
        175,
        656
      ],
      [
        2,
        177,
        1312
      ],
      [
        2,
        179,
        784
      ],
      [
        2,
        181,
        1800
      ],
      [
        2,
        183,
        672
      ],
      [
        2,
        185,
        2120
      ],
      [
        2,
        187,
        504
      ],
      [
        2,
        189,
        2392
      ],
      [
        2,
        191,
        1056
      ],
      [
        2,
        193,
        1448
      ],
      [
        2,
        195,
        512
      ],
      [
        2,
        197,
        1288
      ],
      [
        2,
        199,
        416
      ],
      [
        2,
        201,
        2016
      ],
      [
        2,
        203,
        456
      ],
      [
        2,
        205,
        1764
      ],
      [
        2,
        207,
        400
      ],
      [
        2,
        209,
        2196
      ],
      [
        2,
        211,
        512
      ],
      [
        2,
        213,
        984
      ],
      [
        2,
        215,
        448
      ],
      [
        2,
        217,
        1016
      ],
      [
        2,
        219,
        368
      ],
      [
        2,
        221,
        1536
      ],
      [
        2,
        223,
        96
      ],
      [
        2,
        225,
        1364
      ],
      [
        2,
        227,
        232
      ],
      [
        2,
        229,
        840
      ],
      [
        2,
        231,
        416
      ],
      [
        2,
        233,
        840
      ],
      [
        2,
        235,
        144
      ],
      [
        2,
        237,
        1008
      ],
      [
        2,
        239,
        176
      ],
      [
        2,
        241,
        840
      ],
      [
        2,
        243,
        208
      ],
      [
        2,
        245,
        556
      ],
      [
        2,
        247,
        80
      ],
      [
        2,
        249,
        796
      ],
      [
        2,
        251,
        224
      ],
      [
        2,
        253,
        208
      ],
      [
        2,
        255,
        192
      ],
      [
        2,
        257,
        480
      ],
      [
        2,
        259,
        32
      ],
      [
        2,
        261,
        424
      ],
      [
        2,
        263,
        96
      ],
      [
        2,
        265,
        372
      ],
      [
        2,
        267,
        80
      ],
      [
        2,
        269,
        352
      ],
      [
        2,
        271,
        16
      ],
      [
        2,
        273,
        192
      ],
      [
        2,
        275,
        16
      ],
      [
        2,
        277,
        168
      ],
      [
        2,
        279,
        16
      ],
      [
        2,
        281,
        296
      ],
      [
        2,
        283,
        16
      ],
      [
        2,
        285,
        368
      ],
      [
        2,
        287,
        96
      ],
      [
        2,
        289,
        152
      ],
      [
        2,
        291,
        96
      ],
      [
        2,
        293,
        40
      ],
      [
        2,
        295,
        48
      ],
      [
        2,
        297,
        136
      ],
      [
        2,
        301,
        136
      ],
      [
        2,
        305,
        40
      ],
      [
        2,
        309,
        112
      ],
      [
        2,
        313,
        128
      ],
      [
        2,
        317,
        64
      ],
      [
        2,
        321,
        80
      ],
      [
        2,
        325,
        28
      ],
      [
        2,
        341,
        48
      ],
      [
        2,
        345,
        56
      ],
      [
        2,
        351,
        48
      ],
      [
        2,
        357,
        24
      ],
      [
        2,
        369,
        16
      ],
      [
        2,
        377,
        32
      ],
      [
        2,
        385,
        16
      ],
      [
        2,
        405,
        24
      ],
      [
        3,
        121,
        64
      ],
      [
        3,
        123,
        80
      ],
      [
        3,
        125,
        424
      ],
      [
        3,
        127,
        192
      ],
      [
        3,
        129,
        792
      ],
      [
        3,
        131,
        192
      ],
      [
        3,
        133,
        1248
      ],
      [
        3,
        135,
        560
      ],
      [
        3,
        137,
        1864
      ],
      [
        3,
        139,
        608
      ],
      [
        3,
        141,
        1792
      ],
      [
        3,
        143,
        688
      ],
      [
        3,
        145,
        1592
      ],
      [
        3,
        147,
        464
      ],
      [
        3,
        149,
        1840
      ],
      [
        3,
        151,
        432
      ],
      [
        3,
        153,
        1280
      ],
      [
        3,
        155,
        608
      ],
      [
        3,
        157,
        1136
      ],
      [
        3,
        159,
        512
      ],
      [
        3,
        161,
        2096
      ],
      [
        3,
        163,
        336
      ],
      [
        3,
        165,
        984
      ],
      [
        3,
        167,
        352
      ],
      [
        3,
        169,
        1304
      ],
      [
        3,
        171,
        336
      ],
      [
        3,
        173,
        1048
      ],
      [
        3,
        175,
        208
      ],
      [
        3,
        177,
        744
      ],
      [
        3,
        179,
        208
      ],
      [
        3,
        181,
        688
      ],
      [
        3,
        183,
        96
      ],
      [
        3,
        185,
        320
      ],
      [
        3,
        187,
        64
      ],
      [
        3,
        189,
        656
      ],
      [
        3,
        191,
        192
      ],
      [
        3,
        193,
        400
      ],
      [
        3,
        195,
        32
      ],
      [
        3,
        197,
        104
      ],
      [
        3,
        201,
        544
      ],
      [
        3,
        203,
        64
      ],
      [
        3,
        205,
        152
      ],
      [
        3,
        209,
        112
      ],
      [
        3,
        213,
        64
      ],
      [
        3,
        217,
        32
      ],
      [
        3,
        221,
        160
      ],
      [
        3,
        225,
        144
      ],
      [
        3,
        233,
        64
      ],
      [
        3,
        237,
        96
      ],
      [
        3,
        241,
        32
      ],
      [
        3,
        249,
        52
      ],
      [
        3,
        273,
        32
      ],
      [
        4,
        109,
        32
      ],
      [
        4,
        111,
        32
      ],
      [
        4,
        113,
        96
      ],
      [
        4,
        115,
        160
      ],
      [
        4,
        117,
        512
      ],
      [
        4,
        119,
        848
      ],
      [
        4,
        121,
        1192
      ],
      [
        4,
        123,
        240
      ],
      [
        4,
        125,
        1344
      ],
      [
        4,
        127,
        96
      ],
      [
        4,
        129,
        1568
      ],
      [
        4,
        131,
        576
      ],
      [
        4,
        133,
        784
      ],
      [
        4,
        135,
        224
      ],
      [
        4,
        137,
        440
      ],
      [
        4,
        141,
        736
      ],
      [
        4,
        145,
        400
      ],
      [
        4,
        147,
        192
      ],
      [
        4,
        149,
        304
      ],
      [
        4,
        153,
        264
      ],
      [
        4,
        161,
        372
      ],
      [
        4,
        165,
        128
      ],
      [
        4,
        177,
        328
      ],
      [
        4,
        225,
        44
      ],
      [
        5,
        107,
        32
      ],
      [
        5,
        109,
        376
      ],
      [
        5,
        113,
        64
      ],
      [
        5,
        115,
        24
      ],
      [
        5,
        117,
        352
      ],
      [
        5,
        121,
        288
      ],
      [
        5,
        137,
        144
      ],
      [
        6,
        105,
        656
      ]
    ],
    "10": [
      [
        0,
        174,
        32
      ],
      [
        0,
        176,
        8
      ],
      [
        0,
        182,
        8
      ],
      [
        0,
        186,
        32
      ],
      [
        0,
        190,
        16
      ],
      [
        0,
        192,
        64
      ],
      [
        0,
        194,
        48
      ],
      [
        0,
        196,
        96
      ],
      [
        0,
        198,
        64
      ],
      [
        0,
        200,
        16
      ],
      [
        0,
        202,
        48
      ],
      [
        0,
        204,
        144
      ],
      [
        0,
        206,
        192
      ],
      [
        0,
        208,
        48
      ],
      [
        0,
        210,
        208
      ],
      [
        0,
        212,
        144
      ],
      [
        0,
        214,
        360
      ],
      [
        0,
        216,
        256
      ],
      [
        0,
        218,
        352
      ],
      [
        0,
        220,
        144
      ],
      [
        0,
        222,
        424
      ],
      [
        0,
        224,
        240
      ],
      [
        0,
        226,
        480
      ],
      [
        0,
        228,
        504
      ],
      [
        0,
        230,
        328
      ],
      [
        0,
        232,
        432
      ],
      [
        0,
        234,
        648
      ],
      [
        0,
        236,
        736
      ],
      [
        0,
        238,
        552
      ],
      [
        0,
        240,
        760
      ],
      [
        0,
        242,
        752
      ],
      [
        0,
        244,
        696
      ],
      [
        0,
        246,
        976
      ],
      [
        0,
        248,
        832
      ],
      [
        0,
        250,
        920
      ],
      [
        0,
        252,
        688
      ],
      [
        0,
        254,
        1448
      ],
      [
        0,
        256,
        1152
      ],
      [
        0,
        258,
        1680
      ],
      [
        0,
        260,
        1072
      ],
      [
        0,
        262,
        1768
      ],
      [
        0,
        264,
        1288
      ],
      [
        0,
        266,
        1496
      ],
      [
        0,
        268,
        1200
      ],
      [
        0,
        270,
        1576
      ],
      [
        0,
        272,
        1632
      ],
      [
        0,
        274,
        1160
      ],
      [
        0,
        276,
        1660
      ],
      [
        0,
        278,
        1848
      ],
      [
        0,
        280,
        1888
      ],
      [
        0,
        282,
        1512
      ],
      [
        0,
        284,
        2152
      ],
      [
        0,
        286,
        1936
      ],
      [
        0,
        288,
        1952
      ],
      [
        0,
        290,
        2728
      ],
      [
        0,
        292,
        1536
      ],
      [
        0,
        294,
        1848
      ],
      [
        0,
        296,
        2016
      ],
      [
        0,
        298,
        2384
      ],
      [
        0,
        300,
        2648
      ],
      [
        0,
        302,
        2264
      ],
      [
        0,
        304,
        1936
      ],
      [
        0,
        306,
        2584
      ],
      [
        0,
        308,
        1920
      ],
      [
        0,
        310,
        2552
      ],
      [
        0,
        312,
        2608
      ],
      [
        0,
        314,
        2344
      ],
      [
        0,
        316,
        2232
      ],
      [
        0,
        318,
        2560
      ],
      [
        0,
        320,
        3000
      ],
      [
        0,
        322,
        2880
      ],
      [
        0,
        324,
        2492
      ],
      [
        0,
        326,
        2680
      ],
      [
        0,
        328,
        2752
      ],
      [
        0,
        330,
        2784
      ],
      [
        0,
        332,
        2592
      ],
      [
        0,
        334,
        2920
      ],
      [
        0,
        336,
        3184
      ],
      [
        0,
        338,
        2536
      ],
      [
        0,
        340,
        2552
      ],
      [
        0,
        342,
        3120
      ],
      [
        0,
        344,
        2824
      ],
      [
        0,
        346,
        3680
      ],
      [
        0,
        348,
        1864
      ],
      [
        0,
        350,
        3280
      ],
      [
        0,
        352,
        3536
      ],
      [
        0,
        354,
        3168
      ],
      [
        0,
        356,
        3856
      ],
      [
        0,
        358,
        3156
      ],
      [
        0,
        360,
        2912
      ],
      [
        0,
        362,
        2536
      ],
      [
        0,
        364,
        3392
      ],
      [
        0,
        366,
        3672
      ],
      [
        0,
        368,
        3544
      ],
      [
        0,
        370,
        3012
      ],
      [
        0,
        372,
        3344
      ],
      [
        0,
        374,
        3004
      ],
      [
        0,
        376,
        3448
      ],
      [
        0,
        378,
        3784
      ],
      [
        0,
        380,
        3056
      ],
      [
        0,
        382,
        3076
      ],
      [
        0,
        384,
        2248
      ],
      [
        0,
        386,
        3896
      ],
      [
        0,
        388,
        3424
      ],
      [
        0,
        390,
        3528
      ],
      [
        0,
        392,
        2896
      ],
      [
        0,
        394,
        3832
      ],
      [
        0,
        396,
        3512
      ],
      [
        0,
        398,
        2528
      ],
      [
        0,
        400,
        3632
      ],
      [
        0,
        402,
        2776
      ],
      [
        0,
        404,
        2632
      ],
      [
        0,
        406,
        2964
      ],
      [
        0,
        408,
        3408
      ],
      [
        0,
        410,
        3912
      ],
      [
        0,
        412,
        4340
      ],
      [
        0,
        414,
        2664
      ],
      [
        0,
        416,
        4136
      ],
      [
        0,
        418,
        3488
      ],
      [
        0,
        420,
        2352
      ],
      [
        0,
        422,
        3696
      ],
      [
        0,
        424,
        2616
      ],
      [
        0,
        426,
        2864
      ],
      [
        0,
        428,
        2840
      ],
      [
        0,
        430,
        3656
      ],
      [
        0,
        432,
        3080
      ],
      [
        0,
        434,
        3664
      ],
      [
        0,
        436,
        2800
      ],
      [
        0,
        438,
        2736
      ],
      [
        0,
        440,
        2952
      ],
      [
        0,
        442,
        3072
      ],
      [
        0,
        444,
        2592
      ],
      [
        0,
        446,
        2016
      ],
      [
        0,
        448,
        2600
      ],
      [
        0,
        450,
        3344
      ],
      [
        0,
        452,
        3412
      ],
      [
        0,
        454,
        3456
      ],
      [
        0,
        456,
        3488
      ],
      [
        0,
        458,
        2368
      ],
      [
        0,
        460,
        3496
      ],
      [
        0,
        462,
        2508
      ],
      [
        0,
        464,
        2544
      ],
      [
        0,
        466,
        3824
      ],
      [
        0,
        468,
        2376
      ],
      [
        0,
        470,
        2920
      ],
      [
        0,
        472,
        2808
      ],
      [
        0,
        474,
        3128
      ],
      [
        0,
        476,
        3568
      ],
      [
        0,
        478,
        2752
      ],
      [
        0,
        480,
        3256
      ],
      [
        0,
        482,
        3552
      ],
      [
        0,
        484,
        2216
      ],
      [
        0,
        486,
        2424
      ],
      [
        0,
        488,
        3052
      ],
      [
        0,
        490,
        2184
      ],
      [
        0,
        492,
        2568
      ],
      [
        0,
        494,
        2428
      ],
      [
        0,
        496,
        3220
      ],
      [
        0,
        498,
        2640
      ],
      [
        0,
        500,
        2848
      ],
      [
        0,
        502,
        2544
      ],
      [
        0,
        504,
        2320
      ],
      [
        0,
        506,
        1420
      ],
      [
        0,
        508,
        2208
      ],
      [
        0,
        510,
        2504
      ],
      [
        0,
        512,
        1904
      ],
      [
        0,
        514,
        2536
      ],
      [
        0,
        516,
        2128
      ],
      [
        0,
        518,
        1528
      ],
      [
        0,
        520,
        2224
      ],
      [
        0,
        522,
        2344
      ],
      [
        0,
        524,
        1960
      ],
      [
        0,
        526,
        2208
      ],
      [
        0,
        528,
        1072
      ],
      [
        0,
        530,
        2184
      ],
      [
        0,
        532,
        2200
      ],
      [
        0,
        534,
        1392
      ],
      [
        0,
        536,
        1424
      ],
      [
        0,
        538,
        1908
      ],
      [
        0,
        540,
        1704
      ],
      [
        0,
        542,
        1544
      ],
      [
        0,
        544,
        1348
      ],
      [
        0,
        546,
        1600
      ],
      [
        0,
        548,
        1192
      ],
      [
        0,
        550,
        872
      ],
      [
        0,
        552,
        1304
      ],
      [
        0,
        554,
        1408
      ],
      [
        0,
        556,
        1288
      ],
      [
        0,
        558,
        972
      ],
      [
        0,
        560,
        1712
      ],
      [
        0,
        562,
        1560
      ],
      [
        0,
        564,
        1104
      ],
      [
        0,
        566,
        1072
      ],
      [
        0,
        568,
        1120
      ],
      [
        0,
        570,
        944
      ],
      [
        0,
        572,
        504
      ],
      [
        0,
        574,
        1040
      ],
      [
        0,
        576,
        904
      ],
      [
        0,
        578,
        856
      ],
      [
        0,
        580,
        1152
      ],
      [
        0,
        582,
        920
      ],
      [
        0,
        584,
        980
      ],
      [
        0,
        586,
        1136
      ],
      [
        0,
        588,
        744
      ],
      [
        0,
        590,
        808
      ],
      [
        0,
        592,
        872
      ],
      [
        0,
        594,
        392
      ],
      [
        0,
        596,
        896
      ],
      [
        0,
        598,
        712
      ],
      [
        0,
        600,
        464
      ],
      [
        0,
        602,
        720
      ],
      [
        0,
        604,
        616
      ],
      [
        0,
        606,
        640
      ],
      [
        0,
        608,
        544
      ],
      [
        0,
        610,
        856
      ],
      [
        0,
        612,
        544
      ],
      [
        0,
        614,
        472
      ],
      [
        0,
        616,
        240
      ],
      [
        0,
        618,
        408
      ],
      [
        0,
        620,
        556
      ],
      [
        0,
        622,
        472
      ],
      [
        0,
        624,
        576
      ],
      [
        0,
        626,
        552
      ],
      [
        0,
        628,
        484
      ],
      [
        0,
        630,
        392
      ],
      [
        0,
        632,
        424
      ],
      [
        0,
        634,
        576
      ],
      [
        0,
        636,
        532
      ],
      [
        0,
        638,
        208
      ],
      [
        0,
        640,
        384
      ],
      [
        0,
        642,
        352
      ],
      [
        0,
        644,
        208
      ],
      [
        0,
        646,
        416
      ],
      [
        0,
        648,
        240
      ],
      [
        0,
        650,
        320
      ],
      [
        0,
        652,
        456
      ],
      [
        0,
        654,
        384
      ],
      [
        0,
        656,
        288
      ],
      [
        0,
        658,
        520
      ],
      [
        0,
        660,
        180
      ],
      [
        0,
        662,
        196
      ],
      [
        0,
        664,
        400
      ],
      [
        0,
        666,
        232
      ],
      [
        0,
        668,
        208
      ],
      [
        0,
        670,
        224
      ],
      [
        0,
        672,
        212
      ],
      [
        0,
        674,
        184
      ],
      [
        0,
        676,
        472
      ],
      [
        0,
        678,
        168
      ],
      [
        0,
        680,
        240
      ],
      [
        0,
        682,
        200
      ],
      [
        0,
        684,
        104
      ],
      [
        0,
        686,
        144
      ],
      [
        0,
        688,
        80
      ],
      [
        0,
        690,
        200
      ],
      [
        0,
        692,
        128
      ],
      [
        0,
        694,
        288
      ],
      [
        0,
        696,
        180
      ],
      [
        0,
        698,
        72
      ],
      [
        0,
        700,
        240
      ],
      [
        0,
        702,
        256
      ],
      [
        0,
        704,
        16
      ],
      [
        0,
        706,
        124
      ],
      [
        0,
        708,
        104
      ],
      [
        0,
        710,
        176
      ],
      [
        0,
        712,
        160
      ],
      [
        0,
        714,
        120
      ],
      [
        0,
        716,
        96
      ],
      [
        0,
        718,
        64
      ],
      [
        0,
        720,
        196
      ],
      [
        0,
        722,
        112
      ],
      [
        0,
        724,
        136
      ],
      [
        0,
        726,
        60
      ],
      [
        0,
        728,
        40
      ],
      [
        0,
        730,
        120
      ],
      [
        0,
        732,
        16
      ],
      [
        0,
        734,
        96
      ],
      [
        0,
        736,
        104
      ],
      [
        0,
        738,
        96
      ],
      [
        0,
        740,
        72
      ],
      [
        0,
        742,
        112
      ],
      [
        0,
        744,
        64
      ],
      [
        0,
        746,
        72
      ],
      [
        0,
        748,
        16
      ],
      [
        0,
        750,
        88
      ],
      [
        0,
        752,
        56
      ],
      [
        0,
        754,
        152
      ],
      [
        0,
        756,
        48
      ],
      [
        0,
        760,
        84
      ],
      [
        0,
        762,
        32
      ],
      [
        0,
        764,
        64
      ],
      [
        0,
        766,
        104
      ],
      [
        0,
        768,
        32
      ],
      [
        0,
        770,
        32
      ],
      [
        0,
        772,
        64
      ],
      [
        0,
        774,
        56
      ],
      [
        0,
        778,
        64
      ],
      [
        0,
        780,
        40
      ],
      [
        0,
        782,
        24
      ],
      [
        0,
        784,
        120
      ],
      [
        0,
        786,
        40
      ],
      [
        0,
        788,
        32
      ],
      [
        0,
        790,
        88
      ],
      [
        0,
        794,
        56
      ],
      [
        0,
        796,
        96
      ],
      [
        0,
        798,
        16
      ],
      [
        0,
        800,
        16
      ],
      [
        0,
        802,
        16
      ],
      [
        0,
        804,
        16
      ],
      [
        0,
        806,
        24
      ],
      [
        0,
        808,
        16
      ],
      [
        0,
        810,
        16
      ],
      [
        0,
        812,
        16
      ],
      [
        0,
        814,
        16
      ],
      [
        0,
        816,
        32
      ],
      [
        0,
        818,
        24
      ],
      [
        0,
        822,
        16
      ],
      [
        0,
        824,
        32
      ],
      [
        0,
        826,
        56
      ],
      [
        0,
        828,
        8
      ],
      [
        0,
        830,
        16
      ],
      [
        0,
        832,
        32
      ],
      [
        0,
        834,
        16
      ],
      [
        0,
        836,
        16
      ],
      [
        0,
        840,
        32
      ],
      [
        0,
        844,
        48
      ],
      [
        0,
        846,
        8
      ],
      [
        0,
        850,
        16
      ],
      [
        0,
        852,
        8
      ],
      [
        0,
        854,
        16
      ],
      [
        0,
        856,
        16
      ],
      [
        0,
        860,
        16
      ],
      [
        0,
        862,
        24
      ],
      [
        0,
        864,
        16
      ],
      [
        0,
        868,
        16
      ],
      [
        0,
        870,
        8
      ],
      [
        0,
        874,
        16
      ],
      [
        0,
        876,
        16
      ],
      [
        0,
        882,
        16
      ],
      [
        0,
        884,
        8
      ],
      [
        0,
        886,
        4
      ],
      [
        0,
        888,
        16
      ],
      [
        0,
        890,
        16
      ],
      [
        0,
        894,
        24
      ],
      [
        0,
        896,
        32
      ],
      [
        0,
        902,
        4
      ],
      [
        0,
        904,
        16
      ],
      [
        0,
        910,
        32
      ],
      [
        0,
        916,
        16
      ],
      [
        0,
        920,
        16
      ],
      [
        0,
        936,
        8
      ],
      [
        0,
        940,
        8
      ],
      [
        0,
        958,
        16
      ],
      [
        0,
        962,
        16
      ],
      [
        0,
        966,
        8
      ],
      [
        0,
        976,
        16
      ],
      [
        0,
        994,
        16
      ],
      [
        0,
        1030,
        4
      ],
      [
        0,
        1032,
        8
      ],
      [
        0,
        1034,
        4
      ],
      [
        0,
        1048,
        8
      ],
      [
        0,
        1120,
        8
      ],
      [
        0,
        1210,
        1
      ],
      [
        1,
        172,
        16
      ],
      [
        1,
        178,
        48
      ],
      [
        1,
        180,
        32
      ],
      [
        1,
        182,
        208
      ],
      [
        1,
        184,
        64
      ],
      [
        1,
        186,
        48
      ],
      [
        1,
        188,
        160
      ],
      [
        1,
        190,
        224
      ],
      [
        1,
        192,
        544
      ],
      [
        1,
        194,
        272
      ],
      [
        1,
        196,
        256
      ],
      [
        1,
        198,
        560
      ],
      [
        1,
        200,
        608
      ],
      [
        1,
        202,
        544
      ],
      [
        1,
        204,
        784
      ],
      [
        1,
        206,
        864
      ],
      [
        1,
        208,
        592
      ],
      [
        1,
        210,
        944
      ],
      [
        1,
        212,
        1024
      ],
      [
        1,
        214,
        1136
      ],
      [
        1,
        216,
        1552
      ],
      [
        1,
        218,
        1472
      ],
      [
        1,
        220,
        1280
      ],
      [
        1,
        222,
        2016
      ],
      [
        1,
        224,
        2064
      ],
      [
        1,
        226,
        1440
      ],
      [
        1,
        228,
        2624
      ],
      [
        1,
        230,
        1856
      ],
      [
        1,
        232,
        2480
      ],
      [
        1,
        234,
        2720
      ],
      [
        1,
        236,
        3040
      ],
      [
        1,
        238,
        2304
      ],
      [
        1,
        240,
        3328
      ],
      [
        1,
        242,
        2576
      ],
      [
        1,
        244,
        2448
      ],
      [
        1,
        246,
        3408
      ],
      [
        1,
        248,
        2768
      ],
      [
        1,
        250,
        2656
      ],
      [
        1,
        252,
        3280
      ],
      [
        1,
        254,
        4288
      ],
      [
        1,
        256,
        4000
      ],
      [
        1,
        258,
        4224
      ],
      [
        1,
        260,
        3408
      ],
      [
        1,
        262,
        4192
      ],
      [
        1,
        264,
        4352
      ],
      [
        1,
        266,
        3808
      ],
      [
        1,
        268,
        4704
      ],
      [
        1,
        270,
        3424
      ],
      [
        1,
        272,
        3456
      ],
      [
        1,
        274,
        3424
      ],
      [
        1,
        276,
        4456
      ],
      [
        1,
        278,
        4720
      ],
      [
        1,
        280,
        4688
      ],
      [
        1,
        282,
        3360
      ],
      [
        1,
        284,
        4872
      ],
      [
        1,
        286,
        4064
      ],
      [
        1,
        288,
        5024
      ],
      [
        1,
        290,
        4848
      ],
      [
        1,
        292,
        4224
      ],
      [
        1,
        294,
        4032
      ],
      [
        1,
        296,
        4752
      ],
      [
        1,
        298,
        4696
      ],
      [
        1,
        300,
        6024
      ],
      [
        1,
        302,
        4840
      ],
      [
        1,
        304,
        4720
      ],
      [
        1,
        306,
        4568
      ],
      [
        1,
        308,
        5232
      ],
      [
        1,
        310,
        3704
      ],
      [
        1,
        312,
        5728
      ],
      [
        1,
        314,
        3544
      ],
      [
        1,
        316,
        4136
      ],
      [
        1,
        318,
        4488
      ],
      [
        1,
        320,
        6032
      ],
      [
        1,
        322,
        4336
      ],
      [
        1,
        324,
        6184
      ],
      [
        1,
        326,
        3904
      ],
      [
        1,
        328,
        5136
      ],
      [
        1,
        330,
        4640
      ],
      [
        1,
        332,
        4760
      ],
      [
        1,
        334,
        4696
      ],
      [
        1,
        336,
        5128
      ],
      [
        1,
        338,
        3624
      ],
      [
        1,
        340,
        5152
      ],
      [
        1,
        342,
        4568
      ],
      [
        1,
        344,
        4928
      ],
      [
        1,
        346,
        4528
      ],
      [
        1,
        348,
        4528
      ],
      [
        1,
        350,
        4464
      ],
      [
        1,
        352,
        4912
      ],
      [
        1,
        354,
        4216
      ],
      [
        1,
        356,
        4216
      ],
      [
        1,
        358,
        3896
      ],
      [
        1,
        360,
        4352
      ],
      [
        1,
        362,
        3312
      ],
      [
        1,
        364,
        4808
      ],
      [
        1,
        366,
        4208
      ],
      [
        1,
        368,
        4968
      ],
      [
        1,
        370,
        3008
      ],
      [
        1,
        372,
        4840
      ],
      [
        1,
        374,
        3672
      ],
      [
        1,
        376,
        2912
      ],
      [
        1,
        378,
        4224
      ],
      [
        1,
        380,
        3744
      ],
      [
        1,
        382,
        2896
      ],
      [
        1,
        384,
        2608
      ],
      [
        1,
        386,
        3440
      ],
      [
        1,
        388,
        4024
      ],
      [
        1,
        390,
        3496
      ],
      [
        1,
        392,
        2800
      ],
      [
        1,
        394,
        3384
      ],
      [
        1,
        396,
        3728
      ],
      [
        1,
        398,
        2408
      ],
      [
        1,
        400,
        3512
      ],
      [
        1,
        402,
        2856
      ],
      [
        1,
        404,
        2520
      ],
      [
        1,
        406,
        1984
      ],
      [
        1,
        408,
        3120
      ],
      [
        1,
        410,
        2464
      ],
      [
        1,
        412,
        2792
      ],
      [
        1,
        414,
        2400
      ],
      [
        1,
        416,
        2856
      ],
      [
        1,
        418,
        2752
      ],
      [
        1,
        420,
        2464
      ],
      [
        1,
        422,
        2392
      ],
      [
        1,
        424,
        1704
      ],
      [
        1,
        426,
        2312
      ],
      [
        1,
        428,
        1944
      ],
      [
        1,
        430,
        1928
      ],
      [
        1,
        432,
        2512
      ],
      [
        1,
        434,
        1832
      ],
      [
        1,
        436,
        1832
      ],
      [
        1,
        438,
        2096
      ],
      [
        1,
        440,
        1640
      ],
      [
        1,
        442,
        2008
      ],
      [
        1,
        444,
        1528
      ],
      [
        1,
        446,
        1064
      ],
      [
        1,
        448,
        1536
      ],
      [
        1,
        450,
        1392
      ],
      [
        1,
        452,
        1808
      ],
      [
        1,
        454,
        1808
      ],
      [
        1,
        456,
        1528
      ],
      [
        1,
        458,
        1216
      ],
      [
        1,
        460,
        1352
      ],
      [
        1,
        462,
        1264
      ],
      [
        1,
        464,
        1256
      ],
      [
        1,
        466,
        880
      ],
      [
        1,
        468,
        904
      ],
      [
        1,
        470,
        1288
      ],
      [
        1,
        472,
        824
      ],
      [
        1,
        474,
        1208
      ],
      [
        1,
        476,
        840
      ],
      [
        1,
        478,
        1152
      ],
      [
        1,
        480,
        1168
      ],
      [
        1,
        482,
        984
      ],
      [
        1,
        484,
        752
      ],
      [
        1,
        486,
        776
      ],
      [
        1,
        488,
        912
      ],
      [
        1,
        490,
        560
      ],
      [
        1,
        492,
        864
      ],
      [
        1,
        494,
        696
      ],
      [
        1,
        496,
        928
      ],
      [
        1,
        498,
        816
      ],
      [
        1,
        500,
        560
      ],
      [
        1,
        502,
        664
      ],
      [
        1,
        504,
        728
      ],
      [
        1,
        506,
        480
      ],
      [
        1,
        508,
        592
      ],
      [
        1,
        510,
        824
      ],
      [
        1,
        512,
        312
      ],
      [
        1,
        514,
        752
      ],
      [
        1,
        516,
        384
      ],
      [
        1,
        518,
        496
      ],
      [
        1,
        520,
        560
      ],
      [
        1,
        522,
        608
      ],
      [
        1,
        524,
        248
      ],
      [
        1,
        526,
        288
      ],
      [
        1,
        528,
        400
      ],
      [
        1,
        530,
        280
      ],
      [
        1,
        532,
        456
      ],
      [
        1,
        534,
        264
      ],
      [
        1,
        536,
        400
      ],
      [
        1,
        538,
        272
      ],
      [
        1,
        540,
        256
      ],
      [
        1,
        542,
        288
      ],
      [
        1,
        544,
        352
      ],
      [
        1,
        546,
        336
      ],
      [
        1,
        548,
        256
      ],
      [
        1,
        550,
        400
      ],
      [
        1,
        552,
        496
      ],
      [
        1,
        554,
        312
      ],
      [
        1,
        556,
        232
      ],
      [
        1,
        558,
        360
      ],
      [
        1,
        560,
        88
      ],
      [
        1,
        562,
        344
      ],
      [
        1,
        564,
        192
      ],
      [
        1,
        566,
        88
      ],
      [
        1,
        568,
        216
      ],
      [
        1,
        570,
        176
      ],
      [
        1,
        572,
        64
      ],
      [
        1,
        574,
        208
      ],
      [
        1,
        576,
        216
      ],
      [
        1,
        578,
        112
      ],
      [
        1,
        580,
        96
      ],
      [
        1,
        582,
        232
      ],
      [
        1,
        584,
        32
      ],
      [
        1,
        586,
        312
      ],
      [
        1,
        588,
        32
      ],
      [
        1,
        590,
        96
      ],
      [
        1,
        592,
        136
      ],
      [
        1,
        594,
        160
      ],
      [
        1,
        596,
        56
      ],
      [
        1,
        598,
        56
      ],
      [
        1,
        600,
        176
      ],
      [
        1,
        602,
        120
      ],
      [
        1,
        604,
        160
      ],
      [
        1,
        606,
        168
      ],
      [
        1,
        608,
        104
      ],
      [
        1,
        610,
        64
      ],
      [
        1,
        612,
        56
      ],
      [
        1,
        614,
        56
      ],
      [
        1,
        616,
        128
      ],
      [
        1,
        618,
        88
      ],
      [
        1,
        620,
        96
      ],
      [
        1,
        622,
        32
      ],
      [
        1,
        624,
        112
      ],
      [
        1,
        626,
        48
      ],
      [
        1,
        628,
        48
      ],
      [
        1,
        630,
        120
      ],
      [
        1,
        632,
        32
      ],
      [
        1,
        634,
        80
      ],
      [
        1,
        638,
        48
      ],
      [
        1,
        640,
        32
      ],
      [
        1,
        642,
        64
      ],
      [
        1,
        646,
        64
      ],
      [
        1,
        648,
        16
      ],
      [
        1,
        650,
        104
      ],
      [
        1,
        652,
        32
      ],
      [
        1,
        654,
        40
      ],
      [
        1,
        658,
        64
      ],
      [
        1,
        660,
        16
      ],
      [
        1,
        662,
        112
      ],
      [
        1,
        664,
        24
      ],
      [
        1,
        666,
        48
      ],
      [
        1,
        668,
        24
      ],
      [
        1,
        674,
        48
      ],
      [
        1,
        678,
        16
      ],
      [
        1,
        682,
        32
      ],
      [
        1,
        684,
        32
      ],
      [
        1,
        686,
        32
      ],
      [
        1,
        688,
        8
      ],
      [
        1,
        690,
        32
      ],
      [
        1,
        694,
        16
      ],
      [
        1,
        696,
        16
      ],
      [
        1,
        698,
        32
      ],
      [
        1,
        700,
        48
      ],
      [
        1,
        702,
        32
      ],
      [
        1,
        706,
        16
      ],
      [
        1,
        708,
        32
      ],
      [
        1,
        710,
        32
      ],
      [
        1,
        712,
        72
      ],
      [
        1,
        714,
        8
      ],
      [
        1,
        718,
        48
      ],
      [
        1,
        722,
        8
      ],
      [
        1,
        724,
        40
      ],
      [
        1,
        736,
        16
      ],
      [
        1,
        738,
        16
      ],
      [
        1,
        742,
        8
      ],
      [
        1,
        750,
        16
      ],
      [
        1,
        758,
        32
      ],
      [
        1,
        766,
        16
      ],
      [
        1,
        792,
        16
      ],
      [
        1,
        796,
        8
      ],
      [
        1,
        818,
        16
      ],
      [
        1,
        822,
        32
      ],
      [
        1,
        826,
        16
      ],
      [
        1,
        904,
        16
      ],
      [
        2,
        158,
        16
      ],
      [
        2,
        162,
        16
      ],
      [
        2,
        164,
        16
      ],
      [
        2,
        168,
        96
      ],
      [
        2,
        170,
        128
      ],
      [
        2,
        172,
        160
      ],
      [
        2,
        174,
        320
      ],
      [
        2,
        176,
        160
      ],
      [
        2,
        178,
        248
      ],
      [
        2,
        180,
        472
      ],
      [
        2,
        182,
        1000
      ],
      [
        2,
        184,
        688
      ],
      [
        2,
        186,
        320
      ],
      [
        2,
        188,
        1184
      ],
      [
        2,
        190,
        792
      ],
      [
        2,
        192,
        1768
      ],
      [
        2,
        194,
        960
      ],
      [
        2,
        196,
        1840
      ],
      [
        2,
        198,
        1568
      ],
      [
        2,
        200,
        2016
      ],
      [
        2,
        202,
        1776
      ],
      [
        2,
        204,
        2168
      ],
      [
        2,
        206,
        2344
      ],
      [
        2,
        208,
        2680
      ],
      [
        2,
        210,
        2544
      ],
      [
        2,
        212,
        4032
      ],
      [
        2,
        214,
        3448
      ],
      [
        2,
        216,
        3616
      ],
      [
        2,
        218,
        3944
      ],
      [
        2,
        220,
        3696
      ],
      [
        2,
        222,
        3184
      ],
      [
        2,
        224,
        4736
      ],
      [
        2,
        226,
        2920
      ],
      [
        2,
        228,
        2960
      ],
      [
        2,
        230,
        3432
      ],
      [
        2,
        232,
        4576
      ],
      [
        2,
        234,
        3840
      ],
      [
        2,
        236,
        5492
      ],
      [
        2,
        238,
        3784
      ],
      [
        2,
        240,
        5240
      ],
      [
        2,
        242,
        4416
      ],
      [
        2,
        244,
        4336
      ],
      [
        2,
        246,
        4056
      ],
      [
        2,
        248,
        4416
      ],
      [
        2,
        250,
        3016
      ],
      [
        2,
        252,
        4272
      ],
      [
        2,
        254,
        4832
      ],
      [
        2,
        256,
        5032
      ],
      [
        2,
        258,
        3856
      ],
      [
        2,
        260,
        4432
      ],
      [
        2,
        262,
        3792
      ],
      [
        2,
        264,
        4512
      ],
      [
        2,
        266,
        3744
      ],
      [
        2,
        268,
        5208
      ],
      [
        2,
        270,
        3248
      ],
      [
        2,
        272,
        3816
      ],
      [
        2,
        274,
        3688
      ],
      [
        2,
        276,
        4868
      ],
      [
        2,
        278,
        4504
      ],
      [
        2,
        280,
        4216
      ],
      [
        2,
        282,
        2856
      ],
      [
        2,
        284,
        4568
      ],
      [
        2,
        286,
        3612
      ],
      [
        2,
        288,
        3736
      ],
      [
        2,
        290,
        3392
      ],
      [
        2,
        292,
        4000
      ],
      [
        2,
        294,
        2736
      ],
      [
        2,
        296,
        3464
      ],
      [
        2,
        298,
        3408
      ],
      [
        2,
        300,
        3712
      ],
      [
        2,
        302,
        3704
      ],
      [
        2,
        304,
        3016
      ],
      [
        2,
        306,
        2568
      ],
      [
        2,
        308,
        3056
      ],
      [
        2,
        310,
        2724
      ],
      [
        2,
        312,
        3792
      ],
      [
        2,
        314,
        2416
      ],
      [
        2,
        316,
        3264
      ],
      [
        2,
        318,
        2288
      ],
      [
        2,
        320,
        3000
      ],
      [
        2,
        322,
        2384
      ],
      [
        2,
        324,
        2804
      ],
      [
        2,
        326,
        1800
      ],
      [
        2,
        328,
        2352
      ],
      [
        2,
        330,
        1960
      ],
      [
        2,
        332,
        1952
      ],
      [
        2,
        334,
        2672
      ],
      [
        2,
        336,
        2120
      ],
      [
        2,
        338,
        1776
      ],
      [
        2,
        340,
        2024
      ],
      [
        2,
        342,
        1584
      ],
      [
        2,
        344,
        2440
      ],
      [
        2,
        346,
        1920
      ],
      [
        2,
        348,
        1736
      ],
      [
        2,
        350,
        1848
      ],
      [
        2,
        352,
        1808
      ],
      [
        2,
        354,
        1328
      ],
      [
        2,
        356,
        1660
      ],
      [
        2,
        358,
        1352
      ],
      [
        2,
        360,
        1080
      ],
      [
        2,
        362,
        1048
      ],
      [
        2,
        364,
        1876
      ],
      [
        2,
        366,
        1280
      ],
      [
        2,
        368,
        1232
      ],
      [
        2,
        370,
        788
      ],
      [
        2,
        372,
        1296
      ],
      [
        2,
        374,
        1140
      ],
      [
        2,
        376,
        904
      ],
      [
        2,
        378,
        768
      ],
      [
        2,
        380,
        952
      ],
      [
        2,
        382,
        824
      ],
      [
        2,
        384,
        704
      ],
      [
        2,
        386,
        792
      ],
      [
        2,
        388,
        1096
      ],
      [
        2,
        390,
        768
      ],
      [
        2,
        392,
        296
      ],
      [
        2,
        394,
        872
      ],
      [
        2,
        396,
        448
      ],
      [
        2,
        398,
        360
      ],
      [
        2,
        400,
        1112
      ],
      [
        2,
        402,
        520
      ],
      [
        2,
        404,
        432
      ],
      [
        2,
        406,
        368
      ],
      [
        2,
        408,
        632
      ],
      [
        2,
        410,
        584
      ],
      [
        2,
        412,
        576
      ],
      [
        2,
        414,
        152
      ],
      [
        2,
        416,
        320
      ],
      [
        2,
        418,
        464
      ],
      [
        2,
        420,
        328
      ],
      [
        2,
        422,
        200
      ],
      [
        2,
        424,
        568
      ],
      [
        2,
        426,
        128
      ],
      [
        2,
        428,
        216
      ],
      [
        2,
        430,
        456
      ],
      [
        2,
        432,
        336
      ],
      [
        2,
        434,
        312
      ],
      [
        2,
        436,
        160
      ],
      [
        2,
        438,
        272
      ],
      [
        2,
        440,
        240
      ],
      [
        2,
        442,
        248
      ],
      [
        2,
        444,
        168
      ],
      [
        2,
        446,
        116
      ],
      [
        2,
        448,
        120
      ],
      [
        2,
        450,
        168
      ],
      [
        2,
        452,
        80
      ],
      [
        2,
        454,
        144
      ],
      [
        2,
        456,
        136
      ],
      [
        2,
        458,
        184
      ],
      [
        2,
        460,
        184
      ],
      [
        2,
        462,
        100
      ],
      [
        2,
        464,
        96
      ],
      [
        2,
        466,
        200
      ],
      [
        2,
        468,
        120
      ],
      [
        2,
        470,
        136
      ],
      [
        2,
        472,
        152
      ],
      [
        2,
        474,
        80
      ],
      [
        2,
        476,
        40
      ],
      [
        2,
        478,
        336
      ],
      [
        2,
        480,
        56
      ],
      [
        2,
        482,
        152
      ],
      [
        2,
        484,
        80
      ],
      [
        2,
        486,
        32
      ],
      [
        2,
        488,
        16
      ],
      [
        2,
        490,
        88
      ],
      [
        2,
        492,
        72
      ],
      [
        2,
        494,
        64
      ],
      [
        2,
        496,
        192
      ],
      [
        2,
        498,
        48
      ],
      [
        2,
        500,
        80
      ],
      [
        2,
        502,
        72
      ],
      [
        2,
        506,
        48
      ],
      [
        2,
        508,
        80
      ],
      [
        2,
        510,
        48
      ],
      [
        2,
        514,
        72
      ],
      [
        2,
        518,
        48
      ],
      [
        2,
        520,
        32
      ],
      [
        2,
        526,
        64
      ],
      [
        2,
        530,
        32
      ],
      [
        2,
        532,
        56
      ],
      [
        2,
        538,
        40
      ],
      [
        2,
        540,
        48
      ],
      [
        2,
        542,
        64
      ],
      [
        2,
        544,
        24
      ],
      [
        2,
        546,
        16
      ],
      [
        2,
        566,
        8
      ],
      [
        2,
        568,
        24
      ],
      [
        2,
        570,
        48
      ],
      [
        2,
        580,
        24
      ],
      [
        2,
        586,
        48
      ],
      [
        2,
        592,
        24
      ],
      [
        2,
        622,
        16
      ],
      [
        2,
        630,
        32
      ],
      [
        2,
        638,
        16
      ],
      [
        2,
        658,
        24
      ],
      [
        3,
        158,
        32
      ],
      [
        3,
        160,
        32
      ],
      [
        3,
        162,
        128
      ],
      [
        3,
        164,
        240
      ],
      [
        3,
        166,
        432
      ],
      [
        3,
        168,
        608
      ],
      [
        3,
        170,
        592
      ],
      [
        3,
        172,
        784
      ],
      [
        3,
        174,
        1360
      ],
      [
        3,
        176,
        1440
      ],
      [
        3,
        178,
        1200
      ],
      [
        3,
        180,
        1824
      ],
      [
        3,
        182,
        2224
      ],
      [
        3,
        184,
        2272
      ],
      [
        3,
        186,
        1520
      ],
      [
        3,
        188,
        2992
      ],
      [
        3,
        190,
        2176
      ],
      [
        3,
        192,
        3280
      ],
      [
        3,
        194,
        2960
      ],
      [
        3,
        196,
        4112
      ],
      [
        3,
        198,
        3040
      ],
      [
        3,
        200,
        3872
      ],
      [
        3,
        202,
        3376
      ],
      [
        3,
        204,
        3456
      ],
      [
        3,
        206,
        3072
      ],
      [
        3,
        208,
        3600
      ],
      [
        3,
        210,
        3360
      ],
      [
        3,
        212,
        4128
      ],
      [
        3,
        214,
        3536
      ],
      [
        3,
        216,
        4144
      ],
      [
        3,
        218,
        3520
      ],
      [
        3,
        220,
        4144
      ],
      [
        3,
        222,
        2640
      ],
      [
        3,
        224,
        4368
      ],
      [
        3,
        226,
        2800
      ],
      [
        3,
        228,
        3216
      ],
      [
        3,
        230,
        2672
      ],
      [
        3,
        232,
        3824
      ],
      [
        3,
        234,
        3024
      ],
      [
        3,
        236,
        3544
      ],
      [
        3,
        238,
        3072
      ],
      [
        3,
        240,
        3376
      ],
      [
        3,
        242,
        2176
      ],
      [
        3,
        244,
        3240
      ],
      [
        3,
        246,
        1792
      ],
      [
        3,
        248,
        2304
      ],
      [
        3,
        250,
        1864
      ],
      [
        3,
        252,
        2640
      ],
      [
        3,
        254,
        1552
      ],
      [
        3,
        256,
        2536
      ],
      [
        3,
        258,
        1608
      ],
      [
        3,
        260,
        1368
      ],
      [
        3,
        262,
        2520
      ],
      [
        3,
        264,
        1856
      ],
      [
        3,
        266,
        912
      ],
      [
        3,
        268,
        2472
      ],
      [
        3,
        270,
        1048
      ],
      [
        3,
        272,
        1368
      ],
      [
        3,
        274,
        1304
      ],
      [
        3,
        276,
        1736
      ],
      [
        3,
        278,
        936
      ],
      [
        3,
        280,
        1592
      ],
      [
        3,
        282,
        640
      ],
      [
        3,
        284,
        1232
      ],
      [
        3,
        286,
        1344
      ],
      [
        3,
        288,
        576
      ],
      [
        3,
        290,
        464
      ],
      [
        3,
        292,
        992
      ],
      [
        3,
        294,
        512
      ],
      [
        3,
        296,
        800
      ],
      [
        3,
        298,
        648
      ],
      [
        3,
        300,
        584
      ],
      [
        3,
        302,
        224
      ],
      [
        3,
        304,
        448
      ],
      [
        3,
        306,
        528
      ],
      [
        3,
        308,
        544
      ],
      [
        3,
        310,
        496
      ],
      [
        3,
        312,
        424
      ],
      [
        3,
        314,
        224
      ],
      [
        3,
        316,
        736
      ],
      [
        3,
        318,
        160
      ],
      [
        3,
        320,
        200
      ],
      [
        3,
        322,
        504
      ],
      [
        3,
        324,
        504
      ],
      [
        3,
        326,
        136
      ],
      [
        3,
        328,
        488
      ],
      [
        3,
        330,
        144
      ],
      [
        3,
        332,
        184
      ],
      [
        3,
        334,
        216
      ],
      [
        3,
        336,
        208
      ],
      [
        3,
        338,
        168
      ],
      [
        3,
        340,
        256
      ],
      [
        3,
        342,
        96
      ],
      [
        3,
        344,
        120
      ],
      [
        3,
        346,
        128
      ],
      [
        3,
        348,
        16
      ],
      [
        3,
        350,
        16
      ],
      [
        3,
        352,
        112
      ],
      [
        3,
        354,
        16
      ],
      [
        3,
        356,
        120
      ],
      [
        3,
        358,
        312
      ],
      [
        3,
        360,
        192
      ],
      [
        3,
        362,
        48
      ],
      [
        3,
        364,
        208
      ],
      [
        3,
        370,
        48
      ],
      [
        3,
        372,
        48
      ],
      [
        3,
        382,
        136
      ],
      [
        3,
        388,
        32
      ],
      [
        3,
        390,
        96
      ],
      [
        3,
        396,
        64
      ],
      [
        3,
        398,
        8
      ],
      [
        3,
        404,
        32
      ],
      [
        3,
        412,
        48
      ],
      [
        3,
        424,
        96
      ],
      [
        3,
        436,
        48
      ],
      [
        3,
        454,
        32
      ],
      [
        4,
        146,
        16
      ],
      [
        4,
        148,
        48
      ],
      [
        4,
        150,
        48
      ],
      [
        4,
        152,
        208
      ],
      [
        4,
        154,
        248
      ],
      [
        4,
        156,
        672
      ],
      [
        4,
        158,
        848
      ],
      [
        4,
        160,
        1312
      ],
      [
        4,
        162,
        1088
      ],
      [
        4,
        164,
        1584
      ],
      [
        4,
        166,
        2080
      ],
      [
        4,
        168,
        3040
      ],
      [
        4,
        170,
        2432
      ],
      [
        4,
        172,
        2864
      ],
      [
        4,
        174,
        2080
      ],
      [
        4,
        176,
        3792
      ],
      [
        4,
        178,
        2128
      ],
      [
        4,
        180,
        2936
      ],
      [
        4,
        182,
        1960
      ],
      [
        4,
        184,
        2768
      ],
      [
        4,
        186,
        2384
      ],
      [
        4,
        188,
        1984
      ],
      [
        4,
        190,
        2200
      ],
      [
        4,
        192,
        2656
      ],
      [
        4,
        194,
        2008
      ],
      [
        4,
        196,
        3456
      ],
      [
        4,
        198,
        2208
      ],
      [
        4,
        200,
        1232
      ],
      [
        4,
        202,
        1792
      ],
      [
        4,
        204,
        1472
      ],
      [
        4,
        206,
        784
      ],
      [
        4,
        208,
        2144
      ],
      [
        4,
        210,
        1024
      ],
      [
        4,
        212,
        1048
      ],
      [
        4,
        214,
        1240
      ],
      [
        4,
        216,
        1072
      ],
      [
        4,
        218,
        448
      ],
      [
        4,
        220,
        848
      ],
      [
        4,
        222,
        208
      ],
      [
        4,
        224,
        696
      ],
      [
        4,
        226,
        248
      ],
      [
        4,
        228,
        776
      ],
      [
        4,
        230,
        80
      ],
      [
        4,
        232,
        864
      ],
      [
        4,
        234,
        352
      ],
      [
        4,
        236,
        672
      ],
      [
        4,
        238,
        408
      ],
      [
        4,
        240,
        208
      ],
      [
        4,
        242,
        8
      ],
      [
        4,
        244,
        424
      ],
      [
        4,
        246,
        88
      ],
      [
        4,
        248,
        16
      ],
      [
        4,
        250,
        144
      ],
      [
        4,
        252,
        240
      ],
      [
        4,
        254,
        144
      ],
      [
        4,
        256,
        88
      ],
      [
        4,
        260,
        64
      ],
      [
        4,
        262,
        32
      ],
      [
        4,
        268,
        204
      ],
      [
        4,
        270,
        80
      ],
      [
        4,
        274,
        40
      ],
      [
        4,
        276,
        208
      ],
      [
        4,
        280,
        32
      ],
      [
        4,
        286,
        36
      ],
      [
        4,
        292,
        64
      ],
      [
        4,
        300,
        80
      ],
      [
        4,
        310,
        40
      ],
      [
        4,
        340,
        40
      ],
      [
        5,
        138,
        32
      ],
      [
        5,
        142,
        80
      ],
      [
        5,
        144,
        176
      ],
      [
        5,
        146,
        400
      ],
      [
        5,
        148,
        480
      ],
      [
        5,
        150,
        544
      ],
      [
        5,
        152,
        1472
      ],
      [
        5,
        154,
        1040
      ],
      [
        5,
        156,
        1264
      ],
      [
        5,
        158,
        1456
      ],
      [
        5,
        160,
        2000
      ],
      [
        5,
        162,
        816
      ],
      [
        5,
        164,
        624
      ],
      [
        5,
        166,
        976
      ],
      [
        5,
        168,
        1584
      ],
      [
        5,
        170,
        176
      ],
      [
        5,
        172,
        1200
      ],
      [
        5,
        174,
        528
      ],
      [
        5,
        176,
        336
      ],
      [
        5,
        178,
        944
      ],
      [
        5,
        180,
        64
      ],
      [
        5,
        184,
        288
      ],
      [
        5,
        188,
        384
      ],
      [
        5,
        190,
        416
      ],
      [
        5,
        192,
        336
      ],
      [
        5,
        194,
        48
      ],
      [
        5,
        200,
        576
      ],
      [
        5,
        202,
        288
      ],
      [
        5,
        204,
        336
      ],
      [
        5,
        214,
        192
      ],
      [
        5,
        216,
        288
      ],
      [
        5,
        250,
        144
      ],
      [
        6,
        138,
        160
      ],
      [
        6,
        140,
        160
      ],
      [
        6,
        142,
        272
      ],
      [
        6,
        144,
        544
      ],
      [
        6,
        146,
        272
      ],
      [
        6,
        148,
        512
      ],
      [
        6,
        150,
        256
      ],
      [
        6,
        152,
        912
      ],
      [
        6,
        154,
        608
      ],
      [
        6,
        168,
        352
      ],
      [
        7,
        136,
        768
      ]
    ]
  },
  "histogram_columns": [
    "contacts",
    "Rg2_numerator",
    "multiplicity_first_step_fixed"
  ],
  "representative_paths": {
    "0": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        3,
        0,
        0
      ],
      [
        4,
        0,
        0
      ],
      [
        5,
        0,
        0
      ],
      [
        6,
        0,
        0
      ],
      [
        7,
        0,
        0
      ],
      [
        8,
        0,
        0
      ],
      [
        9,
        0,
        0
      ],
      [
        10,
        0,
        0
      ]
    ],
    "1": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        3,
        0,
        0
      ],
      [
        4,
        0,
        0
      ],
      [
        5,
        0,
        0
      ],
      [
        6,
        0,
        0
      ],
      [
        7,
        0,
        0
      ],
      [
        8,
        0,
        0
      ],
      [
        8,
        1,
        0
      ],
      [
        7,
        1,
        0
      ]
    ],
    "2": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        3,
        0,
        0
      ],
      [
        4,
        0,
        0
      ],
      [
        5,
        0,
        0
      ],
      [
        6,
        0,
        0
      ],
      [
        7,
        0,
        0
      ],
      [
        7,
        1,
        0
      ],
      [
        6,
        1,
        0
      ],
      [
        5,
        1,
        0
      ]
    ],
    "3": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        3,
        0,
        0
      ],
      [
        4,
        0,
        0
      ],
      [
        5,
        0,
        0
      ],
      [
        6,
        0,
        0
      ],
      [
        6,
        1,
        0
      ],
      [
        5,
        1,
        0
      ],
      [
        4,
        1,
        0
      ],
      [
        3,
        1,
        0
      ]
    ],
    "4": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        3,
        0,
        0
      ],
      [
        4,
        0,
        0
      ],
      [
        5,
        0,
        0
      ],
      [
        5,
        1,
        0
      ],
      [
        4,
        1,
        0
      ],
      [
        3,
        1,
        0
      ],
      [
        2,
        1,
        0
      ],
      [
        1,
        1,
        0
      ]
    ],
    "5": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        3,
        0,
        0
      ],
      [
        4,
        0,
        0
      ],
      [
        4,
        1,
        0
      ],
      [
        3,
        1,
        0
      ],
      [
        3,
        1,
        1
      ],
      [
        4,
        1,
        1
      ],
      [
        4,
        0,
        1
      ],
      [
        3,
        0,
        1
      ]
    ],
    "6": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        3,
        0,
        0
      ],
      [
        3,
        1,
        0
      ],
      [
        2,
        1,
        0
      ],
      [
        1,
        1,
        0
      ],
      [
        1,
        1,
        1
      ],
      [
        2,
        1,
        1
      ],
      [
        2,
        0,
        1
      ],
      [
        1,
        0,
        1
      ]
    ],
    "7": [
      [
        0,
        0,
        0
      ],
      [
        1,
        0,
        0
      ],
      [
        2,
        0,
        0
      ],
      [
        2,
        1,
        0
      ],
      [
        1,
        1,
        0
      ],
      [
        0,
        1,
        0
      ],
      [
        0,
        1,
        1
      ],
      [
        1,
        1,
        1
      ],
      [
        2,
        1,
        1
      ],
      [
        2,
        0,
        1
      ],
      [
        1,
        0,
        1
      ]
    ]
  },
  "representatives_note": "First enumerated path for each contact count, illustrative, not an equilibrium sample."
}