The Minimal sorting probabilities, and the champion pairs for Standard Young\

     Tableau of shape, [n, n], for n from 1 to, 1000



                              By Shalosh B. Ekhad



The minimal sorting probability of Standard Young tableaux of shape, [2, 2],

     is , 0, and in floating point, 0.,

    and this happens with the pairs of cells, {[[1, 2], [2, 1]]}

The minimal sorting probability of Standard Young tableaux of shape, [3, 3],

     is , 1/5, and in floating point, 0.2000000000,

    and this happens with the pairs of cells,

    {[[1, 2], [2, 1]], [[1, 3], [2, 2]]}

The minimal sorting probability of Standard Young tableaux of shape, [4, 4],

     is , 2/7, and in floating point, 0.2857142857,

    and this happens with the pairs of cells,

    {[[1, 2], [2, 1]], [[1, 4], [2, 3]]}

The minimal sorting probability of Standard Young tableaux of shape, [5, 5],

     is , 4/21, and in floating point, 0.1904761905,

    and this happens with the pairs of cells, {[[1, 4], [2, 2]]}

The minimal sorting probability of Standard Young tableaux of shape, [6, 6],

     is , 2/33, and in floating point, 0.06060606061,

    and this happens with the pairs of cells,

    {[[1, 4], [2, 2]], [[1, 5], [2, 3]]}

The minimal sorting probability of Standard Young tableaux of shape, [7, 7],

     is , 3/143, and in floating point, 0.02097902098,

    and this happens with the pairs of cells,

    {[[1, 4], [2, 2]], [[1, 6], [2, 4]]}

The minimal sorting probability of Standard Young tableaux of shape, [8, 8],

     is , 1/13, and in floating point, 0.07692307692,

    and this happens with the pairs of cells,

    {[[1, 4], [2, 2]], [[1, 7], [2, 5]]}

The minimal sorting probability of Standard Young tableaux of shape, [9, 9],

     is , 2/17, and in floating point, 0.1176470588,

    and this happens with the pairs of cells,

    {[[1, 4], [2, 2]], [[1, 8], [2, 6]]}

The minimal sorting probability of Standard Young tableaux of shape, [10, 10],

          48
     is , ---, and in floating point, 0.1486068111,
          323

    and this happens with the pairs of cells,

    {[[1, 4], [2, 2]], [[1, 9], [2, 7]]}

The minimal sorting probability of Standard Young tableaux of shape, [11, 11],

          2881
     is , -----, and in floating point, 0.09801653455,
          29393

    and this happens with the pairs of cells,

    {[[1, 7], [2, 4]], [[1, 8], [2, 5]]}

The minimal sorting probability of Standard Young tableaux of shape, [12, 12],

           1627
     is , ------, and in floating point, 0.01564332827,
          104006

    and this happens with the pairs of cells, {[[1, 8], [2, 5]]}

The minimal sorting probability of Standard Young tableaux of shape, [13, 13],

           251
     is , -----, and in floating point, 0.006757302463,
          37145

    and this happens with the pairs of cells,

    {[[1, 7], [2, 4]], [[1, 10], [2, 7]]}

The minimal sorting probability of Standard Young tableaux of shape, [14, 14],

          289
     is , ----, and in floating point, 0.04408848207,
          6555

    and this happens with the pairs of cells,

    {[[1, 7], [2, 4]], [[1, 11], [2, 8]]}

The minimal sorting probability of Standard Young tableaux of shape, [15, 15],

           953
     is , -----, and in floating point, 0.03175079127,
          30015

    and this happens with the pairs of cells,

    {[[1, 6], [2, 3]], [[1, 13], [2, 10]]}

The minimal sorting probability of Standard Young tableaux of shape, [16, 16],

           481
     is , -----, and in floating point, 0.01188975405,
          40455

    and this happens with the pairs of cells,

    {[[1, 6], [2, 3]], [[1, 14], [2, 11]]}

The minimal sorting probability of Standard Young tableaux of shape, [17, 17],

     is , 5/957, and in floating point, 0.005224660397,

    and this happens with the pairs of cells,

    {[[1, 6], [2, 3]], [[1, 15], [2, 12]]}

The minimal sorting probability of Standard Young tableaux of shape, [18, 18],

          199
     is , ----, and in floating point, 0.02012336940,
          9889

    and this happens with the pairs of cells,

    {[[1, 6], [2, 3]], [[1, 16], [2, 13]]}

The minimal sorting probability of Standard Young tableaux of shape, [19, 19],

           419
     is , -----, and in floating point, 0.03320916224,
          12617

    and this happens with the pairs of cells,

    {[[1, 6], [2, 3]], [[1, 17], [2, 14]]}

The minimal sorting probability of Standard Young tableaux of shape, [20, 20],

           620969
     is , ---------, and in floating point, 0.004919225415,
          126233085

    and this happens with the pairs of cells,

    {[[1, 12], [2, 8]], [[1, 13], [2, 9]]}

The minimal sorting probability of Standard Young tableaux of shape, [21, 21],

           23979
     is , -------, and in floating point, 0.01758270927,
          1363783

    and this happens with the pairs of cells,

    {[[1, 11], [2, 7]], [[1, 15], [2, 11]]}

The minimal sorting probability of Standard Young tableaux of shape, [22, 22],

           7979
     is , -------, and in floating point, 0.001972889399,
          4044322

    and this happens with the pairs of cells,

    {[[1, 10], [2, 6]], [[1, 17], [2, 13]]}

The minimal sorting probability of Standard Young tableaux of shape, [23, 23],

           3413
     is , ------, and in floating point, 0.01744058295,
          195693

    and this happens with the pairs of cells,

    {[[1, 10], [2, 6]], [[1, 18], [2, 14]]}

The minimal sorting probability of Standard Young tableaux of shape, [24, 24],

          319801
     is , -------, and in floating point, 0.03477015834,
          9197571

    and this happens with the pairs of cells,

    {[[1, 10], [2, 6]], [[1, 19], [2, 15]]}

The minimal sorting probability of Standard Young tableaux of shape, [25, 25],

          100396
     is , -------, and in floating point, 0.02472692774,
          4060189

    and this happens with the pairs of cells,

    {[[1, 9], [2, 5]], [[1, 21], [2, 17]]}

The minimal sorting probability of Standard Young tableaux of shape, [26, 26],

           884482
     is , --------, and in floating point, 0.01281426873,
          69023213

    and this happens with the pairs of cells,

    {[[1, 9], [2, 5]], [[1, 22], [2, 18]]}

The minimal sorting probability of Standard Young tableaux of shape, [27, 27],

           24883
     is , --------, and in floating point, 0.001952151843,
          12746447

    and this happens with the pairs of cells,

    {[[1, 9], [2, 5]], [[1, 23], [2, 19]]}

The minimal sorting probability of Standard Young tableaux of shape, [28, 28],

           2369
     is , ------, and in floating point, 0.007991795675,
          296429

    and this happens with the pairs of cells,

    {[[1, 9], [2, 5]], [[1, 24], [2, 20]]}

The minimal sorting probability of Standard Young tableaux of shape, [29, 29],

           34555527166
     is , -------------, and in floating point, 0.005240689368,
          6593698793759

    and this happens with the pairs of cells,

    {[[1, 17], [2, 12]], [[1, 18], [2, 13]]}

The minimal sorting probability of Standard Young tableaux of shape, [30, 30],

           659385898
     is , -----------, and in floating point, 0.009825662426,
          67108543873

    and this happens with the pairs of cells,

    {[[1, 16], [2, 11]], [[1, 20], [2, 15]]}

The minimal sorting probability of Standard Young tableaux of shape, [31, 31],

           952714729
     is , ------------, and in floating point, 0.008611066695,
          110638410169

    and this happens with the pairs of cells,

    {[[1, 15], [2, 10]], [[1, 22], [2, 17]]}

The minimal sorting probability of Standard Young tableaux of shape, [32, 32],

           20132131
     is , ----------, and in floating point, 0.007460495589,
          2698497809

    and this happens with the pairs of cells,

    {[[1, 14], [2, 9]], [[1, 24], [2, 19]]}

The minimal sorting probability of Standard Young tableaux of shape, [33, 33],

           401123
     is , --------, and in floating point, 0.006391811378,
          62755763

    and this happens with the pairs of cells,

    {[[1, 14], [2, 9]], [[1, 25], [2, 20]]}

The minimal sorting probability of Standard Young tableaux of shape, [34, 34],

          1048391987
     is , -----------, and in floating point, 0.01918014666,
          54660269573

    and this happens with the pairs of cells,

    {[[1, 14], [2, 9]], [[1, 26], [2, 21]]}

The minimal sorting probability of Standard Young tableaux of shape, [35, 35],

           2705947
     is , ---------, and in floating point, 0.01628708695,
          166140637

    and this happens with the pairs of cells,

    {[[1, 13], [2, 8]], [[1, 28], [2, 23]]}

The minimal sorting probability of Standard Young tableaux of shape, [36, 36],

           135594727
     is , -----------, and in floating point, 0.006497168011,
          20869820017

    and this happens with the pairs of cells,

    {[[1, 13], [2, 8]], [[1, 29], [2, 24]]}

The minimal sorting probability of Standard Young tableaux of shape, [37, 37],

           75922093
     is , -----------, and in floating point, 0.002641207233,
          28745223797

    and this happens with the pairs of cells,

    {[[1, 13], [2, 8]], [[1, 30], [2, 25]]}

The minimal sorting probability of Standard Young tableaux of shape, [38, 38],

           1608364481
     is , ------------, and in floating point, 0.01119048154,
          143726118985

    and this happens with the pairs of cells,

    {[[1, 13], [2, 8]], [[1, 31], [2, 26]]}

The minimal sorting probability of Standard Young tableaux of shape, [39, 39],

           2760321371
     is , ------------, and in floating point, 0.01920542620,
          143726118985

    and this happens with the pairs of cells,

    {[[1, 13], [2, 8]], [[1, 32], [2, 27]]}

The minimal sorting probability of Standard Young tableaux of shape, [40, 40],

           64170404971616357
     is , --------------------, and in floating point, 0.003426171406,
          18729478873403515063

    and this happens with the pairs of cells,

    {[[1, 23], [2, 17]], [[1, 24], [2, 18]]}

The minimal sorting probability of Standard Young tableaux of shape, [41, 41],

            40354589549
     is , ---------------, and in floating point, 0.0001224084971,
          329671472973759

    and this happens with the pairs of cells,

    {[[1, 21], [2, 15]], [[1, 27], [2, 21]]}

The minimal sorting probability of Standard Young tableaux of shape, [42, 42],

           4436899124993
     is , ----------------, and in floating point, 0.001135058209,
          3908961750974571

    and this happens with the pairs of cells,

    {[[1, 20], [2, 14]], [[1, 29], [2, 23]]}

The minimal sorting probability of Standard Young tableaux of shape, [43, 43],

           253085498467
     is , --------------, and in floating point, 0.01029444564,
          24584665100469

    and this happens with the pairs of cells,

    {[[1, 19], [2, 13]], [[1, 31], [2, 25]]}

The minimal sorting probability of Standard Young tableaux of shape, [44, 44],

           46431006019
     is , --------------, and in floating point, 0.0009443082879,
          49169330200938

    and this happens with the pairs of cells,

    {[[1, 19], [2, 13]], [[1, 32], [2, 26]]}

The minimal sorting probability of Standard Young tableaux of shape, [45, 45],

           462721009
     is , -----------, and in floating point, 0.008323206241,
          55594081845

    and this happens with the pairs of cells,

    {[[1, 12], [2, 7]], [[1, 39], [2, 34]]}

The minimal sorting probability of Standard Young tableaux of shape, [46, 46],

           2664238
     is , ---------, and in floating point, 0.003498382697,
          761562765

    and this happens with the pairs of cells,

    {[[1, 12], [2, 7]], [[1, 40], [2, 35]]}

The minimal sorting probability of Standard Young tableaux of shape, [47, 47],

            200188777
     is , --------------, and in floating point, 0.00001936949725,
          10335259321203

    and this happens with the pairs of cells,

    {[[1, 18], [2, 12]], [[1, 36], [2, 30]]}

The minimal sorting probability of Standard Young tableaux of shape, [48, 48],

           25790551
     is , ----------, and in floating point, 0.005462145054,
          4721689143

    and this happens with the pairs of cells,

    {[[1, 12], [2, 7]], [[1, 42], [2, 37]]}

The minimal sorting probability of Standard Young tableaux of shape, [49, 49],

           559099
     is , --------, and in floating point, 0.008458012594,
          66102881

    and this happens with the pairs of cells,

    {[[1, 8], [2, 4]], [[1, 46], [2, 42]]}

The minimal sorting probability of Standard Young tableaux of shape, [50, 50],

           4591
     is , ------, and in floating point, 0.006181258575,
          742729

    and this happens with the pairs of cells,

    {[[1, 8], [2, 4]], [[1, 47], [2, 43]]}

The minimal sorting probability of Standard Young tableaux of shape, [51, 51],

           23082
     is , -------, and in floating point, 0.004000046444,
          5770433

    and this happens with the pairs of cells,

    {[[1, 8], [2, 4]], [[1, 48], [2, 44]]}

The minimal sorting probability of Standard Young tableaux of shape, [52, 52],

           36591
     is , --------, and in floating point, 0.001908492004,
          19172729

    and this happens with the pairs of cells,

    {[[1, 8], [2, 4]], [[1, 49], [2, 45]]}

The minimal sorting probability of Standard Young tableaux of shape, [53, 53],

            698
     is , -------, and in floating point, 0.00009881594991,
          7063637

    and this happens with the pairs of cells,

    {[[1, 8], [2, 4]], [[1, 50], [2, 46]]}

The minimal sorting probability of Standard Young tableaux of shape, [54, 54],

            6588305411631502
     is , --------------------, and in floating point, 0.0001003661249,
          65642719795002943683

    and this happens with the pairs of cells,

    {[[1, 27], [2, 20]], [[1, 35], [2, 28]]}

The minimal sorting probability of Standard Young tableaux of shape, [55, 55],

            226752217898900609
     is , ----------------------, and in floating point, 0.00009507355501,
          2385018819218440287149

    and this happens with the pairs of cells,

    {[[1, 26], [2, 19]], [[1, 37], [2, 30]]}

The minimal sorting probability of Standard Young tableaux of shape, [56, 56],

           2022327018277987
     is , ------------------, and in floating point, 0.005056201617,
          399969615834050023

    and this happens with the pairs of cells,

    {[[1, 25], [2, 18]], [[1, 39], [2, 32]]}

The minimal sorting probability of Standard Young tableaux of shape, [57, 57],

           237498017879374072
     is , --------------------, and in floating point, 0.004192015571,
          56654851076662550441

    and this happens with the pairs of cells,

    {[[1, 25], [2, 18]], [[1, 40], [2, 33]]}

The minimal sorting probability of Standard Young tableaux of shape, [58, 58],

           4976169103764758
     is , ------------------, and in floating point, 0.006411813599,
          776093850365240417

    and this happens with the pairs of cells,

    {[[1, 24], [2, 17]], [[1, 42], [2, 35]]}

The minimal sorting probability of Standard Young tableaux of shape, [59, 59],

           1120914271639942
     is , ------------------, and in floating point, 0.001444302479,
          776093850365240417

    and this happens with the pairs of cells,

    {[[1, 24], [2, 17]], [[1, 43], [2, 36]]}

The minimal sorting probability of Standard Young tableaux of shape, [60, 60],

           87962135121523
     is , ----------------, and in floating point, 0.008953825200,
          9823972789433423

    and this happens with the pairs of cells,

    {[[1, 24], [2, 17]], [[1, 44], [2, 37]]}

The minimal sorting probability of Standard Young tableaux of shape, [61, 61],

           506454557053
     is , --------------, and in floating point, 0.006981607092,
          72541257389887

    and this happens with the pairs of cells,

    {[[1, 16], [2, 10]], [[1, 52], [2, 46]]}

The minimal sorting probability of Standard Young tableaux of shape, [62, 62],

           5524480945320751
     is , -------------------, and in floating point, 0.001290107390,
          4282186886131467599

    and this happens with the pairs of cells,

    {[[1, 23], [2, 16]], [[1, 47], [2, 40]]}

The minimal sorting probability of Standard Young tableaux of shape, [63, 63],

            39174726671
     is , ---------------, and in floating point, 0.0002660654045,
          147237205593335

    and this happens with the pairs of cells,

    {[[1, 16], [2, 10]], [[1, 54], [2, 48]]}

The minimal sorting probability of Standard Young tableaux of shape, [64, 64],

           51587677923
     is , --------------, and in floating point, 0.003694071264,
          13964992614155

    and this happens with the pairs of cells,

    {[[1, 16], [2, 10]], [[1, 55], [2, 49]]}

The minimal sorting probability of Standard Young tableaux of shape, [65, 65],

           4203897114389
     is , ---------------, and in floating point, 0.007000723300,
          600494682408665

    and this happens with the pairs of cells,

    {[[1, 16], [2, 10]], [[1, 56], [2, 50]]}

The minimal sorting probability of Standard Young tableaux of shape, [66, 66],

           5459534893174182923
     is , ---------------------, and in floating point, 0.006946502966,
          785940050724791333965

    and this happens with the pairs of cells,

    {[[1, 22], [2, 15]], [[1, 52], [2, 45]]}

The minimal sorting probability of Standard Young tableaux of shape, [67, 67],

           1631475465606697399
     is , ---------------------, and in floating point, 0.001993615893,
          818349949723751801345

    and this happens with the pairs of cells,

    {[[1, 22], [2, 15]], [[1, 53], [2, 46]]}

The minimal sorting probability of Standard Young tableaux of shape, [68, 68],

           2718935123194935607631
     is , -------------------------, and in floating point, 0.001276220281,
          2130459109106873294908785

    and this happens with the pairs of cells,

    {[[1, 35], [2, 27]], [[1, 42], [2, 34]]}

The minimal sorting probability of Standard Young tableaux of shape, [69, 69],

           4313401657800091875503
     is , -------------------------, and in floating point, 0.003502470425,
          1231531214968952073428285

    and this happens with the pairs of cells,

    {[[1, 33], [2, 25]], [[1, 45], [2, 37]]}

The minimal sorting probability of Standard Young tableaux of shape, [70, 70],

           18354325926237963230771
     is , -------------------------, and in floating point, 0.005152231774,
          3562402999707560159829245

    and this happens with the pairs of cells,

    {[[1, 32], [2, 24]], [[1, 47], [2, 39]]}

The minimal sorting probability of Standard Young tableaux of shape, [71, 71],

           10230689541151017710479
     is , -------------------------, and in floating point, 0.002871850698,
          3562402999707560159829245

    and this happens with the pairs of cells,

    {[[1, 32], [2, 24]], [[1, 48], [2, 40]]}

The minimal sorting probability of Standard Young tableaux of shape, [72, 72],

           1079180005859983106417
     is , ------------------------, and in floating point, 0.002451027388,
          440296999963855750091255

    and this happens with the pairs of cells,

    {[[1, 31], [2, 23]], [[1, 50], [2, 42]]}

The minimal sorting probability of Standard Young tableaux of shape, [73, 73],

           2014665949663485155791
     is , ------------------------, and in floating point, 0.004575697654,
          440296999963855750091255

    and this happens with the pairs of cells,

    {[[1, 31], [2, 23]], [[1, 51], [2, 43]]}

The minimal sorting probability of Standard Young tableaux of shape, [74, 74],

           8245653445425175627
     is , ----------------------, and in floating point, 0.004172112204,
          1976373846826363797085

    and this happens with the pairs of cells,

    {[[1, 30], [2, 22]], [[1, 53], [2, 45]]}

The minimal sorting probability of Standard Young tableaux of shape, [75, 75],

           2794540865126365169663
     is , -------------------------, and in floating point, 0.002012978787,
          1388261457835032970038135

    and this happens with the pairs of cells,

    {[[1, 30], [2, 22]], [[1, 54], [2, 46]]}

The minimal sorting probability of Standard Young tableaux of shape, [76, 76],

           2030205919545583
     is , -------------------, and in floating point, 0.0004910415927,
          4134488706501655943

    and this happens with the pairs of cells,

    {[[1, 21], [2, 14]], [[1, 63], [2, 56]]}

The minimal sorting probability of Standard Young tableaux of shape, [77, 77],

           15729831811111157
     is , -------------------, and in floating point, 0.003804541003,
          4134488706501655943

    and this happens with the pairs of cells,

    {[[1, 21], [2, 14]], [[1, 64], [2, 57]]}

The minimal sorting probability of Standard Young tableaux of shape, [78, 78],

           105508496327106923
     is , ---------------------, and in floating point, 0.0007534391881,
          140035848934238457035

    and this happens with the pairs of cells,

    {[[1, 29], [2, 21]], [[1, 58], [2, 50]]}

The minimal sorting probability of Standard Young tableaux of shape, [79, 79],

           1183375112345898443
     is , ---------------------, and in floating point, 0.005866918406,
          201703011767664566555

    and this happens with the pairs of cells,

    {[[1, 29], [2, 21]], [[1, 59], [2, 51]]}

The minimal sorting probability of Standard Young tableaux of shape, [80, 80],

           136057615541
     is , --------------, and in floating point, 0.006793247923,
          20028360083599

    and this happens with the pairs of cells,

    {[[1, 11], [2, 6]], [[1, 75], [2, 70]]}

The minimal sorting probability of Standard Young tableaux of shape, [81, 81],

           2849561249
     is , ------------, and in floating point, 0.005561148101,
          512405207923

    and this happens with the pairs of cells,

    {[[1, 11], [2, 6]], [[1, 76], [2, 71]]}

The minimal sorting probability of Standard Young tableaux of shape, [82, 82],

           538098376651632064759
     is , ------------------------, and in floating point, 0.001214834914,
          442939506086204315123705

    and this happens with the pairs of cells,

    {[[1, 28], [2, 20]], [[1, 63], [2, 55]]}

The minimal sorting probability of Standard Young tableaux of shape, [83, 83],

           9845949535151744975004332302496627317
     is , ----------------------------------------, and in floating point,
          3589777283038689657201668971136019391523

    0.002742774484, and this happens with the pairs of cells,

    {[[1, 46], [2, 37]], [[1, 47], [2, 38]]}

The minimal sorting probability of Standard Young tableaux of shape, [84, 84],

            898794890807221295309039088725
     is , -----------------------------------, and in floating point,
          13814995842142436661117604822445797

    0.00006505936745, and this happens with the pairs of cells,

    {[[1, 43], [2, 34]], [[1, 51], [2, 42]]}

The minimal sorting probability of Standard Young tableaux of shape, [85, 85],

           1975297039
     is , -------------, and in floating point, 0.0009408490116,
          2099483567129

    and this happens with the pairs of cells,

    {[[1, 11], [2, 6]], [[1, 80], [2, 75]]}

The minimal sorting probability of Standard Young tableaux of shape, [86, 86],

            29034325
     is , ------------, and in floating point, 0.0001429024561,
          203175829077

    and this happens with the pairs of cells,

    {[[1, 11], [2, 6]], [[1, 81], [2, 76]]}

The minimal sorting probability of Standard Young tableaux of shape, [87, 87],

           5105398685
     is , -------------, and in floating point, 0.001200210909,
          4253751275007

    and this happens with the pairs of cells,

    {[[1, 11], [2, 6]], [[1, 82], [2, 77]]}

The minimal sorting probability of Standard Young tableaux of shape, [88, 88],

           1055482888619
     is , ----------------, and in floating point, 0.001028269830,
          1026464900537635

    and this happens with the pairs of cells,

    {[[1, 15], [2, 9]], [[1, 80], [2, 74]]}

The minimal sorting probability of Standard Young tableaux of shape, [89, 89],

           186931201745
     is , ---------------, and in floating point, 0.0004784288727,
          390718897624003

    and this happens with the pairs of cells,

    {[[1, 15], [2, 9]], [[1, 81], [2, 75]]}

The minimal sorting probability of Standard Young tableaux of shape, [90, 90],

           333859399571
     is , ---------------, and in floating point, 0.001948584127,
          171334352461285

    and this happens with the pairs of cells,

    {[[1, 15], [2, 9]], [[1, 82], [2, 76]]}

The minimal sorting probability of Standard Young tableaux of shape, [91, 91],

            322130454759721415
     is , ----------------------, and in floating point, 0.0001153051133,
          2793722199035422307861

    and this happens with the pairs of cells,

    {[[1, 20], [2, 13]], [[1, 79], [2, 72]]}

The minimal sorting probability of Standard Young tableaux of shape, [92, 92],

           129215615709154925
     is , --------------------, and in floating point, 0.002175366798,
          59399461185486497309

    and this happens with the pairs of cells,

    {[[1, 20], [2, 13]], [[1, 80], [2, 73]]}

The minimal sorting probability of Standard Young tableaux of shape, [93, 93],

           248602497995341349
     is , --------------------, and in floating point, 0.004185265203,
          59399461185486497309

    and this happens with the pairs of cells,

    {[[1, 20], [2, 13]], [[1, 81], [2, 74]]}

The minimal sorting probability of Standard Young tableaux of shape, [94, 94],

           432809629427167388377133
     is , ---------------------------, and in floating point, 0.001276713766,
          339002868896408273689956976

    and this happens with the pairs of cells,

    {[[1, 36], [2, 27]], [[1, 68], [2, 59]]}

The minimal sorting probability of Standard Young tableaux of shape, [95, 95],

           980454929962487388947111
     is , ---------------------------, and in floating point, 0.003299772852,
          297128006645916897363097133

    and this happens with the pairs of cells,

    {[[1, 36], [2, 27]], [[1, 69], [2, 60]]}

The minimal sorting probability of Standard Young tableaux of shape, [96, 96],

           8322648299149929817943557
     is , ----------------------------, and in floating point, 0.005195856062,
          1601785769147326024411092515

    and this happens with the pairs of cells,

    {[[1, 26], [2, 18]], [[1, 79], [2, 71]]}

The minimal sorting probability of Standard Young tableaux of shape, [97, 97],

           1045706992694157464818223
     is , ---------------------------, and in floating point, 0.002553849050,
          409463117146270096306411729

    and this happens with the pairs of cells,

    {[[1, 26], [2, 18]], [[1, 80], [2, 72]]}

The minimal sorting probability of Standard Young tableaux of shape, [98, 98],

            698147215235891414165
     is , --------------------------, and in floating point, 0.00002452621189,
          28465350389847653753921671

    and this happens with the pairs of cells,

    {[[1, 26], [2, 18]], [[1, 81], [2, 73]]}

The minimal sorting probability of Standard Young tableaux of shape, [99, 99],

           14252056674870492523976389
     is , ----------------------------, and in floating point, 0.002541527308,
          5607674026799987789522569187

    and this happens with the pairs of cells,

    {[[1, 26], [2, 18]], [[1, 82], [2, 74]]}

The minimal sorting probability of Standard Young tableaux of shape, [100, 100],

           2733396494031196048203571
     is , ---------------------------, and in floating point, 0.004999306933,
          546755086395491215146982493

    and this happens with the pairs of cells,

    {[[1, 26], [2, 18]], [[1, 83], [2, 75]]}

The minimal sorting probability of Standard Young tableaux of shape, [101, 101],

            11037688384279784421183760156620208653809087669
     is , ---------------------------------------------------,
          610545376908980365384154960033901459842356483513085

    and in floating point, 0.00001807840793,

    and this happens with the pairs of cells, {[[1, 56], [2, 46]]}

The minimal sorting probability of Standard Young tableaux of shape, [102, 102],

           282161889479210275566470394889051823
     is , ---------------------------------------, and in floating point,
          176429440671476064936364385292747781585

    0.001599290279, and this happens with the pairs of cells,

    {[[1, 51], [2, 41]], [[1, 62], [2, 52]]}

The minimal sorting probability of Standard Young tableaux of shape, [103, 103],

           17006439437003605562526587832530036
     is , --------------------------------------, and in floating point,
          19000093610774345454685395339218991863

    0.0008950713499, and this happens with the pairs of cells,

    {[[1, 50], [2, 40]], [[1, 64], [2, 54]]}

The minimal sorting probability of Standard Young tableaux of shape, [104, 104],

           33455207323732799127823789527092
     is , -----------------------------------, and in floating point,
          16794806346642176576522073802260617

    0.001991997206, and this happens with the pairs of cells,

    {[[1, 49], [2, 39]], [[1, 66], [2, 56]]}

The minimal sorting probability of Standard Young tableaux of shape, [105, 105],

           11149077999626197685468836621122869
     is , -------------------------------------, and in floating point,
          6415616024417311452231432192463555694

    0.001737803191, and this happens with the pairs of cells,

    {[[1, 48], [2, 38]], [[1, 68], [2, 58]]}

The minimal sorting probability of Standard Young tableaux of shape, [106, 106],

            600720733539197692695869598874961707
     is , ----------------------------------------, and in floating point,
          3554781702474091188396437293191903298057

    0.0001689894862, and this happens with the pairs of cells,

    {[[1, 47], [2, 37]], [[1, 70], [2, 60]]}

The minimal sorting probability of Standard Young tableaux of shape, [107, 107],

           72912310681478735908018263643123303
     is , --------------------------------------, and in floating point,
          27135738186825123575545322848793154947

    0.002686947751, and this happens with the pairs of cells,

    {[[1, 46], [2, 36]], [[1, 72], [2, 62]]}

The minimal sorting probability of Standard Young tableaux of shape, [108, 108],

           62307798154804935325498938311913497
     is , --------------------------------------, and in floating point,
          27135738186825123575545322848793154947

    0.002296152687, and this happens with the pairs of cells,

    {[[1, 46], [2, 36]], [[1, 73], [2, 63]]}

The minimal sorting probability of Standard Young tableaux of shape, [109, 109],

            48266286670517995529045441581
     is , ---------------------------------, and in floating point,
          196737056782023717117186238458053

    0.0002453339877, and this happens with the pairs of cells,

    {[[1, 33], [2, 24]], [[1, 86], [2, 77]]}

The minimal sorting probability of Standard Young tableaux of shape, [110, 110],

           52359606134898274547043443489
     is , --------------------------------, and in floating point,
          21459376305388931053915144709894

    0.002439940723, and this happens with the pairs of cells,

    {[[1, 45], [2, 35]], [[1, 76], [2, 66]]}

The minimal sorting probability of Standard Young tableaux of shape, [111, 111],

           22033864422649403909
     is , ----------------------, and in floating point, 0.003449181917,
          6388142160383161046851

    and this happens with the pairs of cells,

    {[[1, 25], [2, 17]], [[1, 95], [2, 87]]}

The minimal sorting probability of Standard Young tableaux of shape, [112, 112],

           135790774747001013167780668452643
     is , ------------------------------------, and in floating point,
          191995189858081542955667255310394903

    0.0007072613374, and this happens with the pairs of cells,

    {[[1, 44], [2, 34]], [[1, 79], [2, 69]]}

The minimal sorting probability of Standard Young tableaux of shape, [113, 113],

            113387531562484220
     is , ----------------------, and in floating point, 0.0001116718052,
          1015364006960402646791

    and this happens with the pairs of cells,

    {[[1, 25], [2, 17]], [[1, 97], [2, 89]]}

The minimal sorting probability of Standard Young tableaux of shape, [114, 114],

           1900402973924581600
     is , ----------------------, and in floating point, 0.001838666413,
          1033576814260140810859

    and this happens with the pairs of cells,

    {[[1, 25], [2, 17]], [[1, 98], [2, 90]]}

The minimal sorting probability of Standard Young tableaux of shape, [115, 115],

           560479295685664733351798738298738
     is , ------------------------------------, and in floating point,
          586692633120753419501142686262487061

    0.0009553201524, and this happens with the pairs of cells,

    {[[1, 43], [2, 33]], [[1, 83], [2, 73]]}

The minimal sorting probability of Standard Young tableaux of shape, [116, 116],

           269585040223820199801480097319
     is , --------------------------------, and in floating point,
          75203453184651338331508493432639

    0.003584742838, and this happens with the pairs of cells,

    {[[1, 32], [2, 23]], [[1, 94], [2, 85]]}

The minimal sorting probability of Standard Young tableaux of shape, [117, 117],

           125570451337287152226614064143
     is , --------------------------------, and in floating point,
          97890528447060121962242899272653

    0.001282764056, and this happens with the pairs of cells,

    {[[1, 32], [2, 23]], [[1, 95], [2, 86]]}

The minimal sorting probability of Standard Young tableaux of shape, [118, 118],

           4208657056307640850649991281
     is , -------------------------------, and in floating point,
          4326653191030281633690293890504

    0.0009727280811, and this happens with the pairs of cells,

    {[[1, 32], [2, 23]], [[1, 96], [2, 87]]}

The minimal sorting probability of Standard Young tableaux of shape, [119, 119],

           21521996001106077679846871137
     is , --------------------------------, and in floating point,
          10021946733965934372871197015071

    0.002147486568, and this happens with the pairs of cells,

    {[[1, 42], [2, 32]], [[1, 88], [2, 78]]}

The minimal sorting probability of Standard Young tableaux of shape, [120, 120],

           22239106631922480563851149598178696482505196356237502295471
     is , -------------------------------------------------------------,
          6846246733625072556636632688263465639032531818774160814866100

    and in floating point, 0.003248364761,

    and this happens with the pairs of cells, {[[1, 66], [2, 55]]}

The minimal sorting probability of Standard Young tableaux of shape, [121, 121],

           666018709104407265361258508528853575526547402753
     is , ---------------------------------------------------,
          829132940047329200284739511149973485287257819844013

    and in floating point, 0.0008032713175,

    and this happens with the pairs of cells,

    {[[1, 62], [2, 51]], [[1, 71], [2, 60]]}

The minimal sorting probability of Standard Young tableaux of shape, [122, 122],

            98565881032357094956883647412402092615167275781
     is , ---------------------------------------------------,
          297475176963545590941853107053807280980924561318081

    and in floating point, 0.0003313415326,

    and this happens with the pairs of cells,

    {[[1, 60], [2, 49]], [[1, 74], [2, 63]]}

The minimal sorting probability of Standard Young tableaux of shape, [123, 123],

           301420820632694074363476055831591
     is , ------------------------------------, and in floating point,
          717953103865544426081147266847952201

    0.0004198335783, and this happens with the pairs of cells,

    {[[1, 41], [2, 31]], [[1, 93], [2, 83]]}

The minimal sorting probability of Standard Young tableaux of shape, [124, 124],

           2502365462698070597
     is , ----------------------, and in floating point, 0.0004709722465,
          5313190917673658331522

    and this happens with the pairs of cells,

    {[[1, 19], [2, 12]], [[1, 113], [2, 106]]}

The minimal sorting probability of Standard Young tableaux of shape, [125, 125],

           166717942680668242753
     is , ------------------------, and in floating point, 0.001452506510,
          114779480509196701216578

    and this happens with the pairs of cells,

    {[[1, 19], [2, 12]], [[1, 114], [2, 107]]}

The minimal sorting probability of Standard Young tableaux of shape, [126, 126],

           49349786685486373232106027532753385988881
     is , --------------------------------------------, and in floating point,
          33371099925569764946011218991474122625632501

    0.001478818103, and this happens with the pairs of cells,

    {[[1, 56], [2, 45]], [[1, 82], [2, 71]]}

The minimal sorting probability of Standard Young tableaux of shape, [127, 127],

           13291489065580269818922127667267209923419
     is , --------------------------------------------, and in floating point,
          33371099925569764946011218991474122625632501

    0.0003982934064, and this happens with the pairs of cells,

    {[[1, 55], [2, 44]], [[1, 84], [2, 73]]}

The minimal sorting probability of Standard Young tableaux of shape, [128, 128],

           96087112600572072174044528437370813
     is , --------------------------------------, and in floating point,
          69196754530520031830584557900683939787

    0.001388607215, and this happens with the pairs of cells,

    {[[1, 40], [2, 30]], [[1, 99], [2, 89]]}

The minimal sorting probability of Standard Young tableaux of shape, [129, 129],

           71228808935836058596049851275878471827
     is , -----------------------------------------, and in floating point,
          75555432344631177516935656287133841784387

    0.0009427357733, and this happens with the pairs of cells,

    {[[1, 54], [2, 43]], [[1, 87], [2, 76]]}

The minimal sorting probability of Standard Young tableaux of shape, [130, 130],

            39409938853606838332855722611
     is , ---------------------------------, and in floating point,
          258421215494420529045064747687251

    0.0001525027223, and this happens with the pairs of cells,

    {[[1, 31], [2, 22]], [[1, 109], [2, 100]]}

The minimal sorting probability of Standard Young tableaux of shape, [131, 131],

           7174866559806221890620884373086406599737
     is , -------------------------------------------, and in floating point,
          7994345403920341493834922479603846548723977

    0.0008974926898, and this happens with the pairs of cells,

    {[[1, 53], [2, 42]], [[1, 90], [2, 79]]}

The minimal sorting probability of Standard Young tableaux of shape, [132, 132],

           944934562457422290077510179
     is , ------------------------------, and in floating point, 0.003511514181,
          269096040555704423534555300739

    and this happens with the pairs of cells,

    {[[1, 31], [2, 22]], [[1, 111], [2, 102]]}

The minimal sorting probability of Standard Young tableaux of shape, [133, 133],

           1366244013386311713334258028327524655
     is , ----------------------------------------, and in floating point,
          2894320890097765932266538292403519751213

    0.0004720430337, and this happens with the pairs of cells,

    {[[1, 52], [2, 41]], [[1, 93], [2, 82]]}

The minimal sorting probability of Standard Young tableaux of shape, [134, 134],

           136915309863143323155888914122603463537
     is , -----------------------------------------, and in floating point,
          45344360611531666272175766580988476102337

    0.003019456180, and this happens with the pairs of cells,

    {[[1, 52], [2, 41]], [[1, 94], [2, 83]]}

The minimal sorting probability of Standard Young tableaux of shape, [135, 135],

           57098493092780457068975227663833133
     is , --------------------------------------, and in floating point,
          31265104573599812437439346372078112347

    0.001826269058, and this happens with the pairs of cells,

    {[[1, 39], [2, 29]], [[1, 107], [2, 97]]}

The minimal sorting probability of Standard Young tableaux of shape, [136, 136],

            333560559934707406430214641260255425151
     is , -------------------------------------------, and in floating point,
          2346610899011113911239015024652366281238251

    0.0001421456621, and this happens with the pairs of cells,

    {[[1, 51], [2, 40]], [[1, 97], [2, 86]]}

The minimal sorting probability of Standard Young tableaux of shape, [137, 137],

           245617248395802525849464727473268975707
     is , ------------------------------------------, and in floating point,
          100568966594288474937351094028063260250787

    0.002442276745, and this happens with the pairs of cells,

    {[[1, 39], [2, 29]], [[1, 109], [2, 99]]}

The minimal sorting probability of Standard Young tableaux of shape, [138, 138],

           70790580206236960711633
     is , --------------------------, and in floating point, 0.001569720665,
          45097565315191628623982367

    and this happens with the pairs of cells,

    {[[1, 24], [2, 16]], [[1, 123], [2, 115]]}

The minimal sorting probability of Standard Young tableaux of shape, [139, 139],

           3846948103307700597917
     is , -------------------------, and in floating point, 0.0005152042100,
          7466841358223599001101683

    and this happens with the pairs of cells,

    {[[1, 24], [2, 16]], [[1, 124], [2, 116]]}

The minimal sorting probability of Standard Young tableaux of shape, [140, 140],

           16194441971503681075
     is , -----------------------, and in floating point, 0.0005226923043,
          30982744224994186726563

    and this happens with the pairs of cells,

    {[[1, 24], [2, 16]], [[1, 125], [2, 117]]}

The minimal sorting probability of Standard Young tableaux of shape, [141, 141],

           407436740378642399515
     is , ------------------------, and in floating point, 0.001544357804,
          263822761431011105156491

    and this happens with the pairs of cells,

    {[[1, 24], [2, 16]], [[1, 126], [2, 118]]}

The minimal sorting probability of Standard Young tableaux of shape, [142, 142],

            7778036389858213533306064959575858021792473025663715876883
     is , --------------------------------------------------------------,
          15264456330273055000124989583328433001110316457730819043278783

    and in floating point, 0.0005095521401,

    and this happens with the pairs of cells,

    {[[1, 74], [2, 62]], [[1, 81], [2, 69]]}

The minimal sorting probability of Standard Young tableaux of shape, [143, 143],

           145491916359766266303962832294534242221894456705865725177
     is , ------------------------------------------------------------,
          407575857639635711607504889114898472590493538522107751060677

    and in floating point, 0.0003569689265,

    and this happens with the pairs of cells,

    {[[1, 71], [2, 59]], [[1, 85], [2, 73]]}

The minimal sorting probability of Standard Young tableaux of shape, [144, 144],

           23048832376335439067970744801782900696894591271538057
     is , --------------------------------------------------------,
          47178592156457426971582925004618413310625481944913502843

    and in floating point, 0.0004885443020,

    and this happens with the pairs of cells,

    {[[1, 69], [2, 57]], [[1, 88], [2, 76]]}

The minimal sorting probability of Standard Young tableaux of shape, [145, 145],

           46970474543315561999287871778652560787954535467986169
     is , --------------------------------------------------------,
          81644390019258661046631528900207912854914756180119774381

    and in floating point, 0.0005753055970,

    and this happens with the pairs of cells,

    {[[1, 68], [2, 56]], [[1, 90], [2, 78]]}

The minimal sorting probability of Standard Young tableaux of shape, [146, 146],

           346868780234868497380418729030303529023922478095773
     is , ------------------------------------------------------,
          369431629046419280753988818552976981243958172760722961

    and in floating point, 0.0009389255087,

    and this happens with the pairs of cells,

    {[[1, 67], [2, 55]], [[1, 92], [2, 80]]}

The minimal sorting probability of Standard Young tableaux of shape, [147, 147],

           11980152281428498764404857147331325223477583691033611
     is , --------------------------------------------------------,
          19396228246408244665251332016859479310051283717836107831

    and in floating point, 0.0006176537072,

    and this happens with the pairs of cells,

    {[[1, 66], [2, 54]], [[1, 94], [2, 82]]}

The minimal sorting probability of Standard Young tableaux of shape, [148, 148],

            98173566291667109057452124803049051383716836683241
     is , ------------------------------------------------------,
          261335970457685846623498065294524696586297283086191397

    and in floating point, 0.0003756603659,

    and this happens with the pairs of cells,

    {[[1, 65], [2, 53]], [[1, 96], [2, 84]]}

The minimal sorting probability of Standard Young tableaux of shape, [149, 149],

           2718431887832809693601640517341
     is , ----------------------------------, and in floating point,
          5168801645770812580252893252810409

    0.0005259307813, and this happens with the pairs of cells,

    {[[1, 30], [2, 21]], [[1, 129], [2, 120]]}

The minimal sorting probability of Standard Young tableaux of shape, [150, 150],

           700225111424703585535639837536156819779663097042893
     is , ------------------------------------------------------,
          417271245647907235769010723039323963057679087358614993

    and in floating point, 0.001678105354,

    and this happens with the pairs of cells,

    {[[1, 64], [2, 52]], [[1, 99], [2, 87]]}

The minimal sorting probability of Standard Young tableaux of shape, [151, 151],

           26979473258089691515047397306163927181979352236403
     is , -----------------------------------------------------,
          34046799929525637833145087458616566245692980562467637

    and in floating point, 0.0007924231738,

    and this happens with the pairs of cells,

    {[[1, 63], [2, 51]], [[1, 101], [2, 89]]}

The minimal sorting probability of Standard Young tableaux of shape, [152, 152],

           479334829992343294076270751583157965741990915187
     is , ---------------------------------------------------,
          178255497013223234728508311301657414898916128599307

    and in floating point, 0.002689032529,

    and this happens with the pairs of cells,

    {[[1, 63], [2, 51]], [[1, 102], [2, 90]]}

The minimal sorting probability of Standard Young tableaux of shape, [153, 153],

           526576460717115853720188825517450074482214541
     is , ------------------------------------------------,
          923603611467477900147711457521541009838943671499

    and in floating point, 0.0005701325267,

    and this happens with the pairs of cells,

    {[[1, 62], [2, 50]], [[1, 104], [2, 92]]}

The minimal sorting probability of Standard Young tableaux of shape, [154, 154],

            71699146423195624980409672588342588244393387
     is , ------------------------------------------------,
          145128968244155359340819009468666444043813413613

    and in floating point, 0.0004940374571,

    and this happens with the pairs of cells,

    {[[1, 47], [2, 36]], [[1, 119], [2, 108]]}

The minimal sorting probability of Standard Young tableaux of shape, [155, 155],

           220170715843112504287218930499965914526413467
     is , ------------------------------------------------,
          166353725494780028389230176301803460716597741613

    and in floating point, 0.001323509379,

    and this happens with the pairs of cells,

    {[[1, 61], [2, 49]], [[1, 107], [2, 95]]}

The minimal sorting probability of Standard Young tableaux of shape, [156, 156],

           90821280799152966885252923010345652479249723763
     is , --------------------------------------------------,
          51736008628876588829050584829860876282861897641643

    and in floating point, 0.001755475214,

    and this happens with the pairs of cells,

    {[[1, 61], [2, 49]], [[1, 108], [2, 96]]}

The minimal sorting probability of Standard Young tableaux of shape, [157, 157],

           2494795019103188031145813939759759
     is , -------------------------------------, and in floating point,
          1296025519150658145477937694089636324

    0.001924958253, and this happens with the pairs of cells,

    {[[1, 37], [2, 27]], [[1, 131], [2, 121]]}

The minimal sorting probability of Standard Young tableaux of shape, [158, 158],

            6100445926808923120099064778521862303548460401
     is , --------------------------------------------------,
          51516555782094503616626192105237924527685389062039

    and in floating point, 0.0001184171930,

    and this happens with the pairs of cells,

    {[[1, 60], [2, 48]], [[1, 111], [2, 99]]}

The minimal sorting probability of Standard Young tableaux of shape, [159, 159],

           230688244381171157155781679815023
     is , ------------------------------------, and in floating point,
          262685479265190941250963074825073347

    0.0008781918400, and this happens with the pairs of cells,

    {[[1, 37], [2, 27]], [[1, 133], [2, 123]]}

The minimal sorting probability of Standard Young tableaux of shape, [160, 160],

           236804832005675802113466986525267
     is , ------------------------------------, and in floating point,
          105278616203559015365171971622500213

    0.002249315583, and this happens with the pairs of cells,

    {[[1, 37], [2, 27]], [[1, 134], [2, 124]]}

The minimal sorting probability of Standard Young tableaux of shape, [161, 161],

            40588815417909847604964086047458934538157181
     is , ------------------------------------------------,
          199992017621562850049236475713783534482974739859

    and in floating point, 0.0002029521773,

    and this happens with the pairs of cells,

    {[[1, 59], [2, 47]], [[1, 115], [2, 103]]}

The minimal sorting probability of Standard Young tableaux of shape, [162, 162],

            854663473219681078076316426615249284553624503
     is , -------------------------------------------------,
          1219100919275290159109228822896741355973694115123

    and in floating point, 0.0007010604780,

    and this happens with the pairs of cells,

    {[[1, 46], [2, 35]], [[1, 128], [2, 117]]}

The minimal sorting probability of Standard Young tableaux of shape, [163, 163],

           3177494373455632652936892056960191562849397997
     is , -------------------------------------------------,
          1278569256800914069309679009379509226996801145129

    and in floating point, 0.002485195351,

    and this happens with the pairs of cells,

    {[[1, 46], [2, 35]], [[1, 129], [2, 118]]}

The minimal sorting probability of Standard Young tableaux of shape, [164, 164],

           744716193923993058069195088857759425969224757
     is , ------------------------------------------------,
          494150680311574575682194161965447208520713370683

    and in floating point, 0.001507062974,

    and this happens with the pairs of cells,

    {[[1, 58], [2, 46]], [[1, 119], [2, 107]]}

The minimal sorting probability of Standard Young tableaux of shape, [165, 165],

           12863930008008846083522861987012840721240833124922504298825333183
     is , --------------------------------------------------------------------,
          21332404159683408939185728401901242651053633884670978953544974623183

    and in floating point, 0.0006030229838,

    and this happens with the pairs of cells,

    {[[1, 85], [2, 72]], [[1, 94], [2, 81]]}

The minimal sorting probability of Standard Young tableaux of shape, [166, 166],

           15546354017791372945293922995618201003327905977212765100875963
     is , -----------------------------------------------------------------,
          46789297137841130556808719917440750693629312162524297286445628738

    and in floating point, 0.0003322630381,

    and this happens with the pairs of cells,

    {[[1, 82], [2, 69]], [[1, 98], [2, 85]]}

The minimal sorting probability of Standard Young tableaux of shape, [167, 167],

            376821015436215377243961146711846210305896209472627879733
     is , -------------------------------------------------------------,
          1946796086287806047965745190872961250463065330886423287278257

    and in floating point, 0.0001935595711,

    and this happens with the pairs of cells,

    {[[1, 80], [2, 67]], [[1, 101], [2, 88]]}

The minimal sorting probability of Standard Young tableaux of shape, [168, 168],

           738322415296293877253924289104138433363080263328902249
     is , ---------------------------------------------------------,
          773736131815529043335673983884707506336094379232661480589

    and in floating point, 0.0009542302407,

    and this happens with the pairs of cells,

    {[[1, 79], [2, 66]], [[1, 103], [2, 90]]}

The minimal sorting probability of Standard Young tableaux of shape, [169, 169],

           210574797161518610311055869490359585608781134645
     is , ---------------------------------------------------,
          367111219337478558198516551718201252852903799591637

    and in floating point, 0.0005735994600,

    and this happens with the pairs of cells,

    {[[1, 57], [2, 45]], [[1, 125], [2, 113]]}

The minimal sorting probability of Standard Young tableaux of shape, [170, 170],

           350640770860529662485187128873581410453501441
     is , ------------------------------------------------,
          263108999421453170479012087623778272582559119353

    and in floating point, 0.001332682545,

    and this happens with the pairs of cells,

    {[[1, 45], [2, 34]], [[1, 137], [2, 126]]}

The minimal sorting probability of Standard Young tableaux of shape, [171, 171],

            6619120443319151539718296718730348651558631
     is , -----------------------------------------------,
          31012847840551514391062261278848389543951835361

    and in floating point, 0.0002134315583,

    and this happens with the pairs of cells,

    {[[1, 45], [2, 34]], [[1, 138], [2, 127]]}

The minimal sorting probability of Standard Young tableaux of shape, [172, 172],

           3289531362343292487405054602820789066903610993696451117
     is , ----------------------------------------------------------,
          8185639115214253037582635089553358550750475634473236708017

    and in floating point, 0.0004018661605,

    and this happens with the pairs of cells,

    {[[1, 75], [2, 62]], [[1, 111], [2, 98]]}

The minimal sorting probability of Standard Young tableaux of shape, [173, 173],

           1861389186900571638762545042894699087505951922531778097
     is , ----------------------------------------------------------,
          1900930410642172506358052698521869995197977753977197150203

    and in floating point, 0.0009791990156,

    and this happens with the pairs of cells,

    {[[1, 74], [2, 61]], [[1, 113], [2, 100]]}

The minimal sorting probability of Standard Young tableaux of shape, [174, 174],

           142567249796542830352056404508029525748311133174815
     is , ------------------------------------------------------,
          176689216846809898159413826353958041862010696301183851

    and in floating point, 0.0008068814404,

    and this happens with the pairs of cells,

    {[[1, 56], [2, 44]], [[1, 131], [2, 119]]}

The minimal sorting probability of Standard Young tableaux of shape, [175, 175],

            35800094105528374631307593322113275102146331286944708022011
     is , ---------------------------------------------------------------,
          143102503701621010590865483427815202882556651313992206731453511

    and in floating point, 0.0002501709836,

    and this happens with the pairs of cells,

    {[[1, 73], [2, 60]], [[1, 116], [2, 103]]}

The minimal sorting probability of Standard Young tableaux of shape, [176, 176],

           3381400979335115644943487399872627
     is , -------------------------------------, and in floating point,
          5545373176314715610086591841444700439

    0.0006097697796, and this happens with the pairs of cells,

    {[[1, 36], [2, 26]], [[1, 151], [2, 141]]}

The minimal sorting probability of Standard Young tableaux of shape, [177, 177],

           2961723489042578763778685313015043
     is , -------------------------------------, and in floating point,
          6680944475218752936384187440375355819

    0.0004433091010, and this happens with the pairs of cells,

    {[[1, 36], [2, 26]], [[1, 152], [2, 142]]}

The minimal sorting probability of Standard Young tableaux of shape, [178, 178],

           4994867923460686929131723429221
     is , ----------------------------------, and in floating point,
          4655932397009539514054948542988963

    0.001072796488, and this happens with the pairs of cells,

    {[[1, 29], [2, 20]], [[1, 159], [2, 150]]}

The minimal sorting probability of Standard Young tableaux of shape, [179, 179],

           13440502719512863269089189311
     is , --------------------------------, and in floating point,
          45203227155432422466552898475621

    0.0002973350260, and this happens with the pairs of cells,

    {[[1, 29], [2, 20]], [[1, 160], [2, 151]]}

The minimal sorting probability of Standard Young tableaux of shape, [180, 180],

           171182319722298177897457415687
     is , ---------------------------------, and in floating point,
          365259517175568095364782745560243

    0.0004686594371, and this happens with the pairs of cells,

    {[[1, 29], [2, 20]], [[1, 161], [2, 152]]}

The minimal sorting probability of Standard Young tableaux of shape, [181, 181],

           163145570930732113787210148421541104647434541619823929
     is , ---------------------------------------------------------,
          316766134320950634437394507983869298759655846023376702771

    and in floating point, 0.0005150347630,

    and this happens with the pairs of cells,

    {[[1, 70], [2, 57]], [[1, 125], [2, 112]]}

The minimal sorting probability of Standard Young tableaux of shape, [182, 182],

           12764463630459949297206219917149273352727
     is , --------------------------------------------, and in floating point,
          14288003541606939839167608734298430586253223

    0.0008933692936, and this happens with the pairs of cells,

    {[[1, 44], [2, 33]], [[1, 150], [2, 139]]}

The minimal sorting probability of Standard Young tableaux of shape, [183, 183],

           325931882834171475663218139622039480449
     is , ------------------------------------------, and in floating point,
          840470796565114108186329925546966505073719

    0.0003877967969, and this happens with the pairs of cells,

    {[[1, 44], [2, 33]], [[1, 151], [2, 140]]}

The minimal sorting probability of Standard Young tableaux of shape, [184, 184],

            6631036160136810023731995561313060319745768463255
     is , -----------------------------------------------------,
          22614221447061358750543158731519767503898890924874396

    and in floating point, 0.0002932241632,

    and this happens with the pairs of cells,

    {[[1, 69], [2, 56]], [[1, 129], [2, 116]]}

The minimal sorting probability of Standard Young tableaux of shape, [185, 185],

           104297820289508257143234527750860963880591895995882134
     is , --------------------------------------------------------,
          52093876944751718009921062853746470972316640651480391461

    and in floating point, 0.002002112847,

    and this happens with the pairs of cells,

    {[[1, 54], [2, 42]], [[1, 144], [2, 132]]}

The minimal sorting probability of Standard Young tableaux of shape, [186, 186],

           132740119205375532801033236089377833212555800455609
     is , ------------------------------------------------------,
          376129075413369805125783847319469104493260943331988386

    and in floating point, 0.0003529110826,

    and this happens with the pairs of cells,

    {[[1, 54], [2, 42]], [[1, 145], [2, 133]]}

The minimal sorting probability of Standard Young tableaux of shape, [187, 187],

            5175572887929795462657598863481064628213925821778339
     is , --------------------------------------------------------,
          33841236382279537934861619100816220684888312028617516956

    and in floating point, 0.0001529368735,

    and this happens with the pairs of cells,

    {[[1, 68], [2, 55]], [[1, 133], [2, 120]]}

The minimal sorting probability of Standard Young tableaux of shape, [188, 188],

           581241603926892488737674687155641004181811621805682599
     is , ---------------------------------------------------------,
          238669772380287267540602997868914398514475463780776172216

    and in floating point, 0.002435338158,

    and this happens with the pairs of cells,

    {[[1, 68], [2, 55]], [[1, 134], [2, 121]]}

The minimal sorting probability of Standard Young tableaux of shape, [189, 189],

     is , 7653275362728878788773538219397801987209549094565957234329523872722\

                      /
    738453307347981  /  4984625668931485272781011265800634848223572070107120\
                    /

    71835095491930488280034489406852373, and in floating point,

    0.00001535376149, and this happens with the pairs of cells,

    {[[1, 100], [2, 86]], [[1, 104], [2, 90]]}

The minimal sorting probability of Standard Young tableaux of shape, [190, 190],

     is , 3471615122028539536506841537924990045182438327930518739105226108010\

                /
    322805921  /  7750777645549144216950951086848891567177747525940372168392\
              /

    876120555433551261059, and in floating point, 0.0004479053949,

    and this happens with the pairs of cells,

    {[[1, 95], [2, 81]], [[1, 110], [2, 96]]}

The minimal sorting probability of Standard Young tableaux of shape, [191, 191],

     is ,

    41853926332776245627506664420608737037783687754995569120149711872407109/
    193334438651762140607407111171087342658462148314801001955422203057007571\

    7451, and in floating point, 0.00002164845882,

    and this happens with the pairs of cells,

    {[[1, 93], [2, 79]], [[1, 113], [2, 99]]}

The minimal sorting probability of Standard Young tableaux of shape, [192, 192],

     is , 4444738646972502035536645888670083876981599920487909822203452606286\

                /
    167915163  /  5746471350985538002648302097432123265245527119058788710656\
              /

    142785595701251842773, and in floating point, 0.0007734726888,

    and this happens with the pairs of cells,

    {[[1, 91], [2, 77]], [[1, 116], [2, 102]]}

The minimal sorting probability of Standard Young tableaux of shape, [193, 193],

     is ,

    632535746614576888906129576296054336539477357825834919201454950835624301/
    463051680176111039697687517923619924677318865355260975878818919064923549\

    7053, and in floating point, 0.0001366015444,

    and this happens with the pairs of cells,

    {[[1, 90], [2, 76]], [[1, 118], [2, 104]]}

The minimal sorting probability of Standard Young tableaux of shape, [194, 194],

     is ,

    32758097851870745594027482948174402579041690624868625053196738196214501/

    50428434099896782029857064732232791284525436970143732158487646534937221941,

    and in floating point, 0.0006495957774,

    and this happens with the pairs of cells,

    {[[1, 89], [2, 75]], [[1, 120], [2, 106]]}

The minimal sorting probability of Standard Young tableaux of shape, [195, 195],

           531683299429292991235159595430095798270316361610287
     is , ------------------------------------------------------,
          725754076901783717675113276613040771744251965554931975

    and in floating point, 0.0007325942993,

    and this happens with the pairs of cells,

    {[[1, 53], [2, 41]], [[1, 155], [2, 143]]}

The minimal sorting probability of Standard Young tableaux of shape, [196, 196],

     is ,

      59724716251676991373089727649271518024321762728308979065740127671129
    ------------------------------------------------------------------------,
    116778759712922798964316032987234408839125941940274698057492683743810889

    and in floating point, 0.0005114347540,

    and this happens with the pairs of cells,

    {[[1, 87], [2, 73]], [[1, 124], [2, 110]]}

The minimal sorting probability of Standard Young tableaux of shape, [197, 197],

     is ,

      88146838001666396468551231912359420652352002914367891706916525757371
    ------------------------------------------------------------------------,
    687697140531656482789861083147047074274852769203839888560790248713553013

    and in floating point, 0.0001281768279,

    and this happens with the pairs of cells,

    {[[1, 86], [2, 72]], [[1, 126], [2, 112]]}

The minimal sorting probability of Standard Young tableaux of shape, [198, 198],

            297716726533916288174285461
     is , -------------------------------, and in floating point,
          1665557988156942954625259509405

    0.0001787489410, and this happens with the pairs of cells,

    {[[1, 23], [2, 15]], [[1, 184], [2, 176]]}

The minimal sorting probability of Standard Young tableaux of shape, [199, 199],

            202795284431414875761033018935279184520669359081254788
     is , ----------------------------------------------------------,
          3010314947129467365386590452292029175122487881522399115531

    and in floating point, 0.00006736679982,

    and this happens with the pairs of cells,

    {[[1, 65], [2, 52]], [[1, 148], [2, 135]]}

The minimal sorting probability of Standard Young tableaux of shape, [200, 200],

            38053227786032404851699401657350106940533157048723775758215676892
     is , ---------------------------------------------------------------------,
          156411197014956828104161937845886273960242082245625777728350978938401

    and in floating point, 0.0002432896654,

    and this happens with the pairs of cells,

    {[[1, 84], [2, 70]], [[1, 131], [2, 117]]}

The minimal sorting probability of Standard Young tableaux of shape, [201, 201],

           5389952726630653267520785349
     is , -------------------------------, and in floating point,
          3475805663506860425345447179901

    0.001550706008, and this happens with the pairs of cells,

    {[[1, 23], [2, 15]], [[1, 187], [2, 179]]}

The minimal sorting probability of Standard Young tableaux of shape, [202, 202],

     is ,

     3655529132768027206892821531422768718771710191641358842385207769892
    ----------------------------------------------------------------------,
    3509240857607526978440215949352629111753409876788530678799446361517151

    and in floating point, 0.001041686587,

    and this happens with the pairs of cells,

    {[[1, 83], [2, 69]], [[1, 134], [2, 120]]}

The minimal sorting probability of Standard Young tableaux of shape, [203, 203],

           212943098520734525840587483373768196
     is , ---------------------------------------, and in floating point,
          387428485466871599619844690682858376365

    0.0005496320134, and this happens with the pairs of cells,

    {[[1, 35], [2, 25]], [[1, 179], [2, 169]]}

The minimal sorting probability of Standard Young tableaux of shape, [204, 204],

            640081276204417733606458803963193
     is , -------------------------------------, and in floating point,
          3330330820632134094153392756586175155

    0.0001921975055, and this happens with the pairs of cells,

    {[[1, 35], [2, 25]], [[1, 180], [2, 170]]}

The minimal sorting probability of Standard Young tableaux of shape, [205, 205],

           1141039437117419306391391675511105205163599903709423
     is , -------------------------------------------------------,
          2234415041688734845006040760950981281463468247399509965

    and in floating point, 0.0005106658413,

    and this happens with the pairs of cells,

    {[[1, 52], [2, 40]], [[1, 166], [2, 154]]}

The minimal sorting probability of Standard Young tableaux of shape, [206, 206],

           2089485517080714805599443281007356822546744919925655527610779547
     is , -------------------------------------------------------------------,
          2191824468628440649511019625197293578755271558565330889703077177657

    and in floating point, 0.0009533087832,

    and this happens with the pairs of cells,

    {[[1, 81], [2, 67]], [[1, 140], [2, 126]]}

The minimal sorting probability of Standard Young tableaux of shape, [207, 207],

           18556918629261630586742610884689885394888039027806568638501499
     is , ----------------------------------------------------------------,
          8433942714998891170752635354245113229411140804497131839332260711

    and in floating point, 0.002200266146,

    and this happens with the pairs of cells,

    {[[1, 80], [2, 66]], [[1, 142], [2, 128]]}

The minimal sorting probability of Standard Young tableaux of shape, [208, 208],

            3069527598157219018307001736826858277176571398351756163067
     is , --------------------------------------------------------------,
          31121559833944247862555850015664624462771737285967276159897641

    and in floating point, 0.00009863026193,

    and this happens with the pairs of cells,

    {[[1, 80], [2, 66]], [[1, 143], [2, 129]]}

The minimal sorting probability of Standard Young tableaux of shape, [209, 209],

           136786304468164142488298422246621501399752314687845183073113
     is , --------------------------------------------------------------,
          66262807883737728584589329894027052476863866840446462005528295

    and in floating point, 0.002064299851,

    and this happens with the pairs of cells,

    {[[1, 63], [2, 50]], [[1, 160], [2, 147]]}

The minimal sorting probability of Standard Young tableaux of shape, [210, 210],

           46705067536972652957986017213101322895364206516324016899721
     is , --------------------------------------------------------------,
          90436861574221851064960681516603697028683909466277093095493015

    and in floating point, 0.0005164383939,

    and this happens with the pairs of cells,

    {[[1, 63], [2, 50]], [[1, 161], [2, 148]]}

The minimal sorting probability of Standard Young tableaux of shape, [211, 211],

           41627418907945994516770046267475279897209851698844636378015451
     is , -----------------------------------------------------------------,
          46670115106533013933342287789060831328102763833939202626653572861

    and in floating point, 0.0008919502087,

    and this happens with the pairs of cells,

    {[[1, 79], [2, 65]], [[1, 147], [2, 133]]}

The minimal sorting probability of Standard Young tableaux of shape, [212, 212],

           17761172703853789
     is , --------------------, and in floating point, 0.001518053778,
          11699962781963797079

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 205], [2, 199]]}

The minimal sorting probability of Standard Young tableaux of shape, [213, 213],

           43563220394571916790866009654961456481825505575683224377351
     is , --------------------------------------------------------------,
          40000211168937058953270892622812054089543825563177860758930635

    and in floating point, 0.001089074760,

    and this happens with the pairs of cells,

    {[[1, 78], [2, 64]], [[1, 150], [2, 136]]}

The minimal sorting probability of Standard Young tableaux of shape, [214, 214],

           335205550413459460845098961457260965613568966773780467210307
     is , ---------------------------------------------------------------,
          348573268757880085164217778570219328494596194193407072327824105

    and in floating point, 0.0009616501908,

    and this happens with the pairs of cells,

    {[[1, 78], [2, 64]], [[1, 151], [2, 137]]}

The minimal sorting probability of Standard Young tableaux of shape, [215, 215],

     is , 4069129888404856124170439895077745126880229846832717137423647361384\

                                            /
    2604938516706906938414221010473670309  /  809464582252184194213685249962\
                                          /
    081074884942682037651890800100364998801166776573445461014057339575699340\

    46351, and in floating point, 0.0005026940002,

    and this happens with the pairs of cells,

    {[[1, 115], [2, 100]], [[1, 116], [2, 101]]}

The minimal sorting probability of Standard Young tableaux of shape, [216, 216],

     is , 8742575424914958216652797065750384578498472461599617397259173541564\

                           /
    92763032892460934217  /  88699628592293071798292713943973197702878431564\
                         /

    70917809719756189074206108943965288975531823, and in floating point,

    0.00009856383351, and this happens with the pairs of cells,

    {[[1, 109], [2, 94]], [[1, 123], [2, 108]]}

The minimal sorting probability of Standard Young tableaux of shape, [217, 217],

           10220759989937423501757970439762414706169203873737
     is , -----------------------------------------------------,
          84184606108521590409392055173936548898297800936368085

    and in floating point, 0.0001214088948,

    and this happens with the pairs of cells,

    {[[1, 51], [2, 39]], [[1, 179], [2, 167]]}

The minimal sorting probability of Standard Young tableaux of shape, [218, 218],

            62576937143676287
     is , ---------------------, and in floating point, 0.0002300416555,
          272024373166823440735

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 211], [2, 205]]}

The minimal sorting probability of Standard Young tableaux of shape, [219, 219],

            307201194439
     is , -----------------, and in floating point, 0.00002244739348,
          13685383768517555

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 212], [2, 206]]}

The minimal sorting probability of Standard Young tableaux of shape, [220, 220],

            2626855361461
     is , -----------------, and in floating point, 0.0001832013555,
          14338624043864455

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 213], [2, 207]]}

The minimal sorting probability of Standard Young tableaux of shape, [221, 221],

           2121708366641
     is , ----------------, and in floating point, 0.0003869318065,
          5483416795872155

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 214], [2, 208]]}

The minimal sorting probability of Standard Young tableaux of shape, [222, 222],

           498853998809
     is , ---------------, and in floating point, 0.0005887706692,
          847280655936995

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 215], [2, 209]]}

The minimal sorting probability of Standard Young tableaux of shape, [223, 223],

           725626751308043
     is , ------------------, and in floating point, 0.0007887441600,
          919977336216389171

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 216], [2, 210]]}

The minimal sorting probability of Standard Young tableaux of shape, [224, 224],

           2217670581311219
     is , -------------------, and in floating point, 0.0009868780132,
          2247157755676098139

    and this happens with the pairs of cells,

    {[[1, 14], [2, 8]], [[1, 217], [2, 211]]}

The minimal sorting probability of Standard Young tableaux of shape, [225, 225],

     is , 9594616966972887250674618996430599077729208135397328418270671253255\

                  /
    09537871714  /  32253663618612170468396084286088608924278093905001264971\
                /

    24810616497555977166571669, and in floating point, 0.0002974737097,

    and this happens with the pairs of cells,

    {[[1, 97], [2, 82]], [[1, 144], [2, 129]]}

The minimal sorting probability of Standard Young tableaux of shape, [226, 226],

            8606574971828302900690547045883164264803578448797594512096382057
     is , --------------------------------------------------------------------,
          44281610471851752551098100266160380700371255053269841130435602514465

    and in floating point, 0.0001943600262,

    and this happens with the pairs of cells,

    {[[1, 61], [2, 48]], [[1, 179], [2, 166]]}

The minimal sorting probability of Standard Young tableaux of shape, [227, 227],

           409784169103181041295830257729539301818356239916598681315037690717
     is , ---------------------------------------------------------------------,
          288093402352397764732529391357690202791923655533045882686764712442965

    and in floating point, 0.001422400394,

    and this happens with the pairs of cells,

    {[[1, 61], [2, 48]], [[1, 180], [2, 167]]}

The minimal sorting probability of Standard Young tableaux of shape, [228, 228],

     is ,

    515047311027199087466406864335066553624645723440619560483938527188245418357

       /
      /  1219012183368850124588453793519413249993897401873821671945823814711\
     /

    715482257577, and in floating point, 0.0004225120290,

    and this happens with the pairs of cells,

    {[[1, 95], [2, 80]], [[1, 149], [2, 134]]}

The minimal sorting probability of Standard Young tableaux of shape, [229, 229],

     is ,

      672982650913753462775228859315670273605137624003996479772398642599
    ----------------------------------------------------------------------,
    1116830364316308239761103079669260136959667100979727506857249534040951

    and in floating point, 0.0006025826951,

    and this happens with the pairs of cells,

    {[[1, 74], [2, 60]], [[1, 170], [2, 156]]}

The minimal sorting probability of Standard Young tableaux of shape, [230, 230],

     is ,

     18541696897213181725487686343872356009225057689261120044839805155817
    -----------------------------------------------------------------------,
    18986116193377240075938752354377422328314340716655367616573242078696167

    and in floating point, 0.0009765924062,

    and this happens with the pairs of cells,

    {[[1, 74], [2, 60]], [[1, 171], [2, 157]]}

The minimal sorting probability of Standard Young tableaux of shape, [231, 231],

     is ,

    612863307483362961832110093507150493228616095220199038141001158724169298145

       /
      /  6932647038728866415382542708060516761344114621918145601949275437836\
     /

    45386939507, and in floating point, 0.0008840249677,

    and this happens with the pairs of cells,

    {[[1, 93], [2, 78]], [[1, 154], [2, 139]]}

The minimal sorting probability of Standard Young tableaux of shape, [232, 232],

           1662994719404542154662902261522623471198570093935079408
     is , ----------------------------------------------------------,
          1962025389315210837689127174655490631264069746000082047877

    and in floating point, 0.0008475908255,

    and this happens with the pairs of cells,

    {[[1, 50], [2, 38]], [[1, 195], [2, 183]]}

The minimal sorting probability of Standard Young tableaux of shape, [233, 233],

            398729117547661652243735078443399976368593191177058
     is , --------------------------------------------------------,
          12079311983470955025350826932795456832760323854002264147

    and in floating point, 0.00003300925732,

    and this happens with the pairs of cells,

    {[[1, 50], [2, 38]], [[1, 196], [2, 184]]}

The minimal sorting probability of Standard Young tableaux of shape, [234, 234],

            88964806666305044556303
     is , ---------------------------, and in floating point, 0.0005025035554,
          177043138717187457902083022

    and this happens with the pairs of cells,

    {[[1, 18], [2, 11]], [[1, 224], [2, 217]]}

The minimal sorting probability of Standard Young tableaux of shape, [235, 235],

            803369088293827609311529
     is , ----------------------------, and in floating point, 0.0002599839163,
          3090072261475616387080894426

    and this happens with the pairs of cells,

    {[[1, 18], [2, 11]], [[1, 225], [2, 218]]}

The minimal sorting probability of Standard Young tableaux of shape, [236, 236],

            21465382117028070146411
     is , ----------------------------, and in floating point, 0.00001960081196,
          1095127189732893392261174774

    and this happens with the pairs of cells,

    {[[1, 18], [2, 11]], [[1, 226], [2, 219]]}

The minimal sorting probability of Standard Young tableaux of shape, [237, 237],

           115701735744783994178903
     is , ---------------------------, and in floating point, 0.0002186738562,
          529106395039487818732927138

    and this happens with the pairs of cells,

    {[[1, 18], [2, 11]], [[1, 227], [2, 220]]}

The minimal sorting probability of Standard Young tableaux of shape, [238, 238],

           2919910576171286868000890929795
     is , ----------------------------------, and in floating point,
          9801598669718671209454320057456162

    0.0002979014623, and this happens with the pairs of cells,

    {[[1, 28], [2, 19]], [[1, 220], [2, 211]]}

The minimal sorting probability of Standard Young tableaux of shape, [239, 239],

            3675448350948300737920335265
     is , --------------------------------, and in floating point,
          36278152186009886809934783109577

    0.0001013129978, and this happens with the pairs of cells,

    {[[1, 28], [2, 19]], [[1, 221], [2, 212]]}

The minimal sorting probability of Standard Young tableaux of shape, [240, 240],

            7399478194981218272698323217045
     is , -----------------------------------, and in floating point,
          14889039600054575000246421181570021

    0.0004969748482, and this happens with the pairs of cells,

    {[[1, 28], [2, 19]], [[1, 222], [2, 213]]}

The minimal sorting probability of Standard Young tableaux of shape, [241, 241],

     is ,

    26702345817124852303906054075880724040312504581727104014085402841309353/
    163876769861424930757057914616904364059764386090033080764498909950290535\

    3827, and in floating point, 0.00001629416167,

    and this happens with the pairs of cells,

    {[[1, 89], [2, 74]], [[1, 168], [2, 153]]}

The minimal sorting probability of Standard Young tableaux of shape, [242, 242],

           3462666401657288697946286093450165
     is , -------------------------------------, and in floating point,
          2709805207209932650044848655045743822

    0.001277828529, and this happens with the pairs of cells,

    {[[1, 28], [2, 19]], [[1, 224], [2, 215]]}

The minimal sorting probability of Standard Young tableaux of shape, [243, 243],

     is , 2062273222659412646330883383524797455140911330826806294835169040760\

                                                            /
    37804634857646008225164900677286458383320756001607833  /  44155770968264\
                                                          /
    229365691599665068996559156284551936538361953669360351465878708493057007\

    32094060289196035660032069504128631000, and in floating point,

    0.00004670450040, and this happens with the pairs of cells,

    {[[1, 130], [2, 114]]}

The minimal sorting probability of Standard Young tableaux of shape, [244, 244],

     is ,

    17616894746714483384732687171073280938307288300280997636189403653788245/

    266309447837478521762146604532922117890746452365021980265038969546652964889

    , and in floating point, 0.00006615197054,

    and this happens with the pairs of cells,

    {[[1, 88], [2, 73]], [[1, 172], [2, 157]]}

The minimal sorting probability of Standard Young tableaux of shape, [245, 245],

     is , 2007863720069163507557758827345526861573654840342564621435619959256\

                                      /
    8818455624682860355864041126027  /  422662911639161370964820957348223246\
                                    /

    506529275882640388854842234586028685571563715178534484608153680305,

    and in floating point, 0.00004750508419,

    and this happens with the pairs of cells,

    {[[1, 120], [2, 104]], [[1, 142], [2, 126]]}

The minimal sorting probability of Standard Young tableaux of shape, [246, 246],

     is , 6182200972236085228684960367202446874502780941703269476835140316774\

                                 /
    04436043534844512308350718  /  65745520104369221126413120490309052045942\
                               /

    10290012006897572814358951568019863028060325307305102265,

    and in floating point, 0.00009403227722,

    and this happens with the pairs of cells,

    {[[1, 118], [2, 102]], [[1, 145], [2, 129]]}

The minimal sorting probability of Standard Young tableaux of shape, [247, 247],

           2447754050097157378775237299285977022613
     is , -------------------------------------------, and in floating point,
          5158714395049947966416303472204923570977858

    0.0004744891581, and this happens with the pairs of cells,

    {[[1, 34], [2, 24]], [[1, 224], [2, 214]]}

The minimal sorting probability of Standard Young tableaux of shape, [248, 248],

             69249909059005480338057427384500587
     is , -----------------------------------------, and in floating point,
          11751057847494186711654449822790258703822

                   -5
    0.5893078730 10  , and this happens with the pairs of cells,

    {[[1, 34], [2, 24]], [[1, 225], [2, 215]]}

The minimal sorting probability of Standard Young tableaux of shape, [249, 249],

            3117169563651151998999611398863679396624613
     is , -----------------------------------------------,
          12256061431024928332203153768176331912208701937

    and in floating point, 0.0002543369729,

    and this happens with the pairs of cells,

    {[[1, 41], [2, 30]], [[1, 220], [2, 209]]}

The minimal sorting probability of Standard Young tableaux of shape, [250, 250],

           2005486890701123035827369981736939429158080113
     is , -------------------------------------------------,
          6115774654081439237769373730319989624192142266563

    and in floating point, 0.0003279203378,

    and this happens with the pairs of cells,

    {[[1, 41], [2, 30]], [[1, 221], [2, 210]]}

The minimal sorting probability of Standard Young tableaux of shape, [251, 251],

     is ,

    308502190148071742005289831584353713467662449033651729395614822660462302368

       /
      /  1489700055686229214930922485256075834102693000138901981534172751719\
     /

    595487086267, and in floating point, 0.0002070901380,

    and this happens with the pairs of cells,

    {[[1, 86], [2, 71]], [[1, 181], [2, 166]]}

The minimal sorting probability of Standard Young tableaux of shape, [252, 252],

     is , 1456009832012665378207195584425409370502924810824632806473445710580\

                              /
    61097135757796101441783  /  17572374371983266187407390945746699850709894\
                            /

    8881033268887412633357870896959327691071246383113, and in floating point,

    0.0008285788825, and this happens with the pairs of cells,

    {[[1, 111], [2, 95]], [[1, 158], [2, 142]]}

The minimal sorting probability of Standard Young tableaux of shape, [253, 253],

            828346569161616472119723937677200463298720091156803216
     is , ----------------------------------------------------------,
          2231134543914080686899730401695606834495721671023244839109

    and in floating point, 0.0003712669733,

    and this happens with the pairs of cells,

    {[[1, 49], [2, 37]], [[1, 217], [2, 205]]}

The minimal sorting probability of Standard Young tableaux of shape, [254, 254],

     is , 3440205589865380548164422471504958972460443871135022179415919353565\

                              /
    05597846447793061832409  /  14526327536485250278260785938462996095814095\
                            /

    14017159119299801412047903747631281944059685179151, and in floating point,

    0.0002368255556, and this happens with the pairs of cells,

    {[[1, 109], [2, 93]], [[1, 162], [2, 146]]}

The minimal sorting probability of Standard Young tableaux of shape, [255, 255],

     is , 9949721470566798618029191244399921896467097694207792321018079442392\

                 /
    9465656567  /  251801417154910803273551300585278664791875282415585176053\
               /

    415065012569354232277673, and in floating point, 0.0003951415994,

    and this happens with the pairs of cells,

    {[[1, 85], [2, 70]], [[1, 186], [2, 171]]}

The minimal sorting probability of Standard Young tableaux of shape, [256, 256],

     is ,

    58930895112056983600507934292733649207662669454137039111743720967624412287

       /
      /  1318153697973536289746056866039086272487459072916480161250986914393\
     /

    77974105287, and in floating point, 0.0004470715001,

    and this happens with the pairs of cells,

    {[[1, 70], [2, 56]], [[1, 201], [2, 187]]}

The minimal sorting probability of Standard Young tableaux of shape, [257, 257],

     is , 6905370887698515136411762445603626578676507264732795808233841555201\

                          /
    3075309689914707677  /  160540432469502210074852095528152590304046686571\
                        /

    1130136090729663664177431110200816069964563, and in floating point,

    0.00004301328196, and this happens with the pairs of cells,

    {[[1, 107], [2, 91]], [[1, 167], [2, 151]]}

The minimal sorting probability of Standard Young tableaux of shape, [258, 258],

     is , 1078848740228026196482751588236739798044421046056722333840347002374\

                           /
    70540952912858899653  /  76248871634831888975043610758328816474921328039\
                         /

    630774192988461579365616441798737523166827, and in floating point,

    0.001414904532, and this happens with the pairs of cells,

    {[[1, 106], [2, 90]], [[1, 169], [2, 153]]}

The minimal sorting probability of Standard Young tableaux of shape, [259, 259],

     is , 5078332696430128724462463343228455089519229582140864253112640872969\

                          /
    7788935804129101627  /  762488716348318889750436107583288164749213280396\
                        /

    30774192988461579365616441798737523166827, and in floating point,

    0.0006660207014, and this happens with the pairs of cells,

    {[[1, 106], [2, 90]], [[1, 170], [2, 154]]}

The minimal sorting probability of Standard Young tableaux of shape, [260, 260],

     is ,

    271782089586580475268281187084684309162787287042618384975067845952939599/
    133858762913954556194064568315964592833505758145882274488048152203263978\

    6619, and in floating point, 0.0002030364570,

    and this happens with the pairs of cells,

    {[[1, 84], [2, 69]], [[1, 192], [2, 177]]}

The minimal sorting probability of Standard Young tableaux of shape, [261, 261],

     is , 9478372746321285021570386207140809283889462436562361409800630007445\

                          /
    6998209885057723357  /  921709097952376198515028334224810055300093083727\
                        /

    32327968786516201506928459807754639373357, and in floating point,

    0.001028347530, and this happens with the pairs of cells,

    {[[1, 105], [2, 89]], [[1, 173], [2, 157]]}

The minimal sorting probability of Standard Young tableaux of shape, [262, 262],

            8609711720361757522328036343999641932970911157579839380659
     is , --------------------------------------------------------------,
          33923348320260079629941870641608928110413598057774279475383181

    and in floating point, 0.0002537989953,

    and this happens with the pairs of cells,

    {[[1, 58], [2, 45]], [[1, 218], [2, 205]]}

The minimal sorting probability of Standard Young tableaux of shape, [263, 263],

           360433925704720453722789346065769431768405905246444308697
     is , ------------------------------------------------------------,
          640063175853963766602676804558659020951199963354231688214777

    and in floating point, 0.0005631224218,

    and this happens with the pairs of cells,

    {[[1, 58], [2, 45]], [[1, 219], [2, 206]]}

The minimal sorting probability of Standard Young tableaux of shape, [264, 264],

     is ,

    570714744933532720840194088138389960619191556798110508605862842204267481/

    702626322266515763414091648120144869068385387801733532125128165723598687299

    , and in floating point, 0.0008122592719,

    and this happens with the pairs of cells,

    {[[1, 69], [2, 55]], [[1, 210], [2, 196]]}

The minimal sorting probability of Standard Young tableaux of shape, [265, 265],

     is ,

    231514998291449863761065648728387702570411889071927701073319407340267977/
    735087867983059879824308715670517698748630397986791026020503907623433077\

    2877, and in floating point, 0.00003149487407,

    and this happens with the pairs of cells,

    {[[1, 83], [2, 68]], [[1, 198], [2, 183]]}

The minimal sorting probability of Standard Young tableaux of shape, [266, 266],

     is ,

    64961507851737002629706176297027940430585198254886682892382080856813967/

    53457403204226497748605563333173685565536584229414215230000402656088552507,

    and in floating point, 0.001215201337,

    and this happens with the pairs of cells,

    {[[1, 69], [2, 55]], [[1, 212], [2, 198]]}

The minimal sorting probability of Standard Young tableaux of shape, [267, 267],

     is , 1248367112785155126444092809846056150924039186037558823962523046480\

                        /
    03675315641744435  /  10792556078213638855832408833315098915507209855624\
                      /

    19459699413339868808672140523459466603, and in floating point,

    0.0001156692728, and this happens with the pairs of cells,

    {[[1, 102], [2, 86]], [[1, 182], [2, 166]]}

The minimal sorting probability of Standard Young tableaux of shape, [268, 268],

     is , 2936913572964711022692610697111736385890066967171285581538671468027\

                       /
    0245028169749387  /  154621147252344396215364023399929783889788106814100\
                     /

    20912599044983793820517772542399235, and in floating point, 0.001899425548,

    and this happens with the pairs of cells,

    {[[1, 102], [2, 86]], [[1, 183], [2, 167]]}

The minimal sorting probability of Standard Young tableaux of shape, [269, 269],

     is , 7287370286149012194037149930899726162787753439455767376205369278335\

                   /
    482242881321  /  8760404943475603185006460249287806452679212850657235644\
                 /

    532036818013496044063763399, and in floating point, 0.0008318531316,

    and this happens with the pairs of cells,

    {[[1, 101], [2, 85]], [[1, 185], [2, 169]]}

The minimal sorting probability of Standard Young tableaux of shape, [270, 270],

     is , 4803093111791013458528725655539845376518755980612203693519613534217\

                 /
    5569355853  /  553568947991641812396400352357494478118923834165218997121\
               /

    34926527192812693978747, and in floating point, 0.0008676594179,

    and this happens with the pairs of cells,

    {[[1, 82], [2, 67]], [[1, 204], [2, 189]]}

The minimal sorting probability of Standard Young tableaux of shape, [271, 271],

     is , 4538948087789092271201728195291894463888178237298151268913945111381\

                     /
    91820723847007  /  12278712835402607040764556215641585019155849565618722\
                   /

    57514864805299663778365142587207, and in floating point, 0.0003696599268,

    and this happens with the pairs of cells,

    {[[1, 82], [2, 67]], [[1, 205], [2, 190]]}

The minimal sorting probability of Standard Young tableaux of shape, [272, 272],

     is , 1400399561573862828417174325567088604640767432976378700457735519018\

                     /
    64822127716001  /  32794607408128319055695554072429814302006770329112180\
                   /

    7782917666077568226272112922639, and in floating point, 0.0004270212917,

    and this happens with the pairs of cells,

    {[[1, 100], [2, 84]], [[1, 189], [2, 173]]}

The minimal sorting probability of Standard Young tableaux of shape, [273, 273],

     is , 5242245644033938234625003681018758600934847442541111392773990986806\

                                                       /
    947464749918590759059512821458211121687749378635  /  3833081858870476774\
                                                     /
    778480828474063358974061531529805423558395752100181944617682394936746654\

    2816165614975449347961266721, and in floating point, 0.0001367632061,

    and this happens with the pairs of cells,

    {[[1, 140], [2, 123]], [[1, 151], [2, 134]]}

The minimal sorting probability of Standard Young tableaux of shape, [274, 274],

     is , 1362763327614050438657832972502126211578452738580243143169358740992\

                                                  /
    1789911828469496777276403907419961213385573  /  721030648273671688285892\
                                                /
    576487857093943715049197965061054028812331103013734773834946018787511002\

    33306414075589149, and in floating point, 0.0001890021362,

    and this happens with the pairs of cells,

    {[[1, 136], [2, 119]], [[1, 156], [2, 139]]}

The minimal sorting probability of Standard Young tableaux of shape, [275, 275],

     is , 8586546962673398672643655760434932708916021730788669442039844972074\

                                                 /
    729524307988271692287705136853995690731363  /  2035038601980959886613830\
                                               /
    927006995335154332084324396598258607480639738056451130278440126717882932\

    1559584812786031, and in floating point, 0.0004219353360,

    and this happens with the pairs of cells,

    {[[1, 134], [2, 117]], [[1, 159], [2, 142]]}

The minimal sorting probability of Standard Young tableaux of shape, [276, 276],

           305590394616165736470823735387280433530030378693060022336191285213
     is , ---------------------------------------------------------------------,
          707705105649975105289275085862101816340187169832262073971330045775013

    and in floating point, 0.0004318047053,

    and this happens with the pairs of cells,

    {[[1, 68], [2, 54]], [[1, 223], [2, 209]]}

The minimal sorting probability of Standard Young tableaux of shape, [277, 277],

     is , 1416633267813078985043047158559545570757022223736543631318322724747\

                                           /
    411933617005272398655612356837965669  /  2309081196353762391927360384191\
                                         /
    077339856115097524591001087271725483405641249075703491211455543503588952\

    0727, and in floating point, 0.00006135051769,

    and this happens with the pairs of cells,

    {[[1, 130], [2, 113]], [[1, 165], [2, 148]]}

The minimal sorting probability of Standard Young tableaux of shape, [278, 278],

     is , 1091685318035581693014092296282809711619161138337059010268423874057\

                                            /
    2757835739780936985181733851768970627  /  159875681189806369171784833538\
                                          /
    012976931160502188261275611565093909553918656998988689920939208557505451\

    40549, and in floating point, 0.0006828338806,

    and this happens with the pairs of cells,

    {[[1, 129], [2, 112]], [[1, 167], [2, 150]]}

The minimal sorting probability of Standard Young tableaux of shape, [279, 279],

     is , 2142977002767452178030193173407891433966891882977427753070302347210\

                   /
    954414341627  /  3542140539669901798814102847443985684628366875360411328\
                 /

    121743739244651870030365377, and in floating point, 0.0006049949116,

    and this happens with the pairs of cells,

    {[[1, 98], [2, 82]], [[1, 198], [2, 182]]}

The minimal sorting probability of Standard Young tableaux of shape, [280, 280],

           21915036405857277339036531843553694312311250402206578866563463
     is , -----------------------------------------------------------------,
          90573667716418964121065475084071566680158052378982900372530122377

    and in floating point, 0.0002419581426,

    and this happens with the pairs of cells,

    {[[1, 57], [2, 44]], [[1, 237], [2, 224]]}

The minimal sorting probability of Standard Young tableaux of shape, [281, 281],

            12982994701102650968537965624909365730134526954453
     is , ------------------------------------------------------,
          234995869845770479240852930739146962434869732412200547

    and in floating point, 0.00005524775695,

    and this happens with the pairs of cells,

    {[[1, 48], [2, 36]], [[1, 246], [2, 234]]}

The minimal sorting probability of Standard Young tableaux of shape, [282, 282],

     is , 6475033542353174277701232373634929535970294801146675187578791857543\

                       /
    8677942587361849  /  205613540217845071228411349504210996344939325821073\
                     /

    713555484809475059420830189381637151, and in floating point,

    0.0003149127988, and this happens with the pairs of cells,

    {[[1, 97], [2, 81]], [[1, 202], [2, 186]]}

The minimal sorting probability of Standard Young tableaux of shape, [283, 283],

     is , 2094078020391518322212886252478511235279923072834806097587031503082\

                                      /
    6949079580914353377127519215617  /  227824844110882618108067468852388261\
                                    /

    90919721731414276364197932336299537783616464013403690361067330143,

    and in floating point, 0.0009191613972,

    and this happens with the pairs of cells,

    {[[1, 123], [2, 106]], [[1, 178], [2, 161]]}

The minimal sorting probability of Standard Young tableaux of shape, [284, 284],

     is , 1063416958560715170376698887673979880941688826295234267088595977934\

                     /
    81786220493711  /  28007686621368911951971214403136944882376786346205936\
                   /

    5363223013699916670278433362689, and in floating point, 0.0003796875383,

    and this happens with the pairs of cells,

    {[[1, 80], [2, 65]], [[1, 220], [2, 205]]}

The minimal sorting probability of Standard Young tableaux of shape, [285, 285],

     is , 1004894581610608222878365101773607092493445150373481499271879590915\

                                       /
    18676293739294544626015707242761  /  15922057228441141747475511109033528\
                                     /

    0281750715833033049021689722884910418975906453027330593538877517561,

    and in floating point, 0.0006311336325,

    and this happens with the pairs of cells,

    {[[1, 122], [2, 105]], [[1, 181], [2, 164]]}

The minimal sorting probability of Standard Young tableaux of shape, [286, 286],

     is , 3236388863908511708765019312240486668705846386408922250418258478876\

                                     /
    655247725334592944632995995259  /  3103180741838381082168740545940545933\
                                   /

    7605662761611792698691295748158013599471867191518890744592657301,

    and in floating point, 0.0001042926318,

    and this happens with the pairs of cells,

    {[[1, 121], [2, 104]], [[1, 183], [2, 166]]}

The minimal sorting probability of Standard Young tableaux of shape, [287, 287],

           13048927544226160185077097616863747102174898335016718274149569223
     is , --------------------------------------------------------------------,
          14005862459086244699577179177724043406239426551251834050199053478017

    and in floating point, 0.0009316761165,

    and this happens with the pairs of cells,

    {[[1, 67], [2, 53]], [[1, 235], [2, 221]]}

The minimal sorting probability of Standard Young tableaux of shape, [288, 288],

            87662309076840369059802408835730840186363930062397069391509977
     is , ------------------------------------------------------------------,
          704890233170642512232549499097708967928898929275256418281352800863

    and in floating point, 0.0001243630639,

    and this happens with the pairs of cells,

    {[[1, 67], [2, 53]], [[1, 236], [2, 222]]}

The minimal sorting probability of Standard Young tableaux of shape, [289, 289],

     is , 1003655120430061276123051368894662457458642623003205576174016859430\

                                      /
    2911200943774868379885968665033  /  482156622964508122041597339319780573\
                                    /

    41786663400131900618533481538196169165092352186012229057668456727,

    and in floating point, 0.0002081595632,

    and this happens with the pairs of cells,

    {[[1, 119], [2, 102]], [[1, 188], [2, 171]]}

The minimal sorting probability of Standard Young tableaux of shape, [290, 290],

     is , 5867178082369254515484418622847328438997726549890855254044423614942\

                         /
    392552851745513943  /  8447302367163356337536518818850339832613480335186\
                       /

    561767052381837857694354567074527562457, and in floating point,

    0.0006945623381, and this happens with the pairs of cells,

    {[[1, 95], [2, 79]], [[1, 212], [2, 196]]}

The minimal sorting probability of Standard Young tableaux of shape, [291, 291],

     is , 1887864857614846153438405818102005514603813450014684654054181449066\

                                /
    5550795088934402295382119  /  589118209848094150236061374042926351268215\
                              /

    08460467829423584636721307721439497972053974513682119,

    and in floating point, 0.0003204560351,

    and this happens with the pairs of cells,

    {[[1, 118], [2, 101]], [[1, 191], [2, 174]]}

The minimal sorting probability of Standard Young tableaux of shape, [292, 292],

     is , 3909179740071759308208707088234373519325064318360075748738667249370\

                      /
    129155241810859  /  7321384852229883465143907237076182582173162284292975\
                    /

    647566249746735938060741283370461, and in floating point, 0.0005339399334,

    and this happens with the pairs of cells,

    {[[1, 79], [2, 64]], [[1, 229], [2, 214]]}

The minimal sorting probability of Standard Young tableaux of shape, [293, 293],

     is , 1206385428215670780691890841248467242223190362541505976934356793636\

                /
    260167777  /  2740313067297474510044194998929976379441045300669256863453\
              /

    889197287280600547017, and in floating point, 0.0004402363520,

    and this happens with the pairs of cells,

    {[[1, 79], [2, 64]], [[1, 230], [2, 215]]}

The minimal sorting probability of Standard Young tableaux of shape, [294, 294],

           360628097065690134683879709152113698446249896373
     is , ---------------------------------------------------,
          683650685124775199434970323717000304836826115428805

    and in floating point, 0.0005275034530,

    and this happens with the pairs of cells,

    {[[1, 40], [2, 29]], [[1, 266], [2, 255]]}

The minimal sorting probability of Standard Young tableaux of shape, [295, 295],

           1102325106515604394039024996916073564688184893
     is , -------------------------------------------------,
          8310532960569884062229325752158033136212217653965

    and in floating point, 0.0001326419270,

    and this happens with the pairs of cells,

    {[[1, 40], [2, 29]], [[1, 267], [2, 256]]}

The minimal sorting probability of Standard Young tableaux of shape, [296, 296],

            270595908982132833038136070929366616478273467
     is , -------------------------------------------------,
          1043451238516422664282458364037688035585600304545

    and in floating point, 0.0002593277951,

    and this happens with the pairs of cells,

    {[[1, 40], [2, 29]], [[1, 268], [2, 257]]}

The minimal sorting probability of Standard Young tableaux of shape, [297, 297],

     is , 5672817070529102349194640245719306422105681035023059335261397626568\

                                /
    2084885381673668813051707  /  198900449036134164827314003313361169960270\
                              /

    202010216336623268985065822148906284615650041432510907,

    and in floating point, 0.0002852088619,

    and this happens with the pairs of cells,

    {[[1, 115], [2, 98]], [[1, 200], [2, 183]]}

The minimal sorting probability of Standard Young tableaux of shape, [298, 298],

           83510710287162327766326348825980331288670913027
     is , --------------------------------------------------,
          80708684926987648685151888244480305013338388773285

    and in floating point, 0.001034717768,

    and this happens with the pairs of cells,

    {[[1, 40], [2, 29]], [[1, 270], [2, 259]]}

The minimal sorting probability of Standard Young tableaux of shape, [299, 299],

     is , 1307055926582377893555460272888516189959812923715146493807824844429\

                           /
    08466348579200947039  /  52509840368369074130662880012608978122340577160\
                         /

    8361260083553514417923922696092040249642761, and in floating point,

    0.0002489163778, and this happens with the pairs of cells,

    {[[1, 114], [2, 97]], [[1, 203], [2, 186]]}

The minimal sorting probability of Standard Young tableaux of shape, [300, 300],

     is , 9750066880890584369641423213343863700101232181447917117256316679819\

                          /
    1397668229853886179  /  143866068876169213841730645761426131168999479253\
                        /

    380529034464189552500910198915443278627821, and in floating point,

    0.0006777183082, and this happens with the pairs of cells,

    {[[1, 93], [2, 77]], [[1, 224], [2, 208]]}

The minimal sorting probability of Standard Young tableaux of shape, [301, 301],

     is , 9570847432813610294969326151357603883809191190242114082921882824707\

                          /
    5510661272581379437  /  199684774583320317595566092615743891068287960811\
                        /

    274129214117731919291101684868779238926837, and in floating point,

    0.0004792978059, and this happens with the pairs of cells,

    {[[1, 93], [2, 77]], [[1, 225], [2, 209]]}

The minimal sorting probability of Standard Young tableaux of shape, [302, 302],

     is , 8180612952768440108874959638700599045063004086266957757443443424313\

                   /
    802488464227  /  6903275380413273103924131075641577482210482227276567306\
                 /

    1614617365690933710712008827, and in floating point, 0.0001185033553,

    and this happens with the pairs of cells,

    {[[1, 78], [2, 63]], [[1, 240], [2, 225]]}

The minimal sorting probability of Standard Young tableaux of shape, [303, 303],

            26766281160805237521682094653667408084387531747490159358610437
     is , ------------------------------------------------------------------,
          252335910458107191228907187344127072862996760306391026666892190417

    and in floating point, 0.0001060740071,

    and this happens with the pairs of cells,

    {[[1, 56], [2, 43]], [[1, 261], [2, 248]]}

The minimal sorting probability of Standard Young tableaux of shape, [304, 304],

     is , 2352360028401805098064463702792343969410244822761365479320498914416\
    54090910042065456757301273498858687839979959909876515638662250976495281

       /
      /  2176638755452715414885175384830879077791294259457970054012709178357\
     /
    367199350569076505025895677671305064194978153491855882817403622186122624\

    051, and in floating point, 0.0001080730563,

    and this happens with the pairs of cells,

    {[[1, 158], [2, 140]], [[1, 165], [2, 147]]}

The minimal sorting probability of Standard Young tableaux of shape, [305, 305],

     is , 3013381964795160097830661914931029660896777373108296508386041591055\

                                                                   /
    033358859465622691142600673333433247856319189358656716164171  /  1652997\
                                                                 /
    651126529682921105187639073542357663465228100636582232383246208789477554\

    7680913864544945560018129148935974740725072201177911, and in floating point,

    0.0001822980186, and this happens with the pairs of cells,

    {[[1, 153], [2, 135]], [[1, 171], [2, 153]]}

The minimal sorting probability of Standard Young tableaux of shape, [306, 306],

     is , 6230499888967260968605322341930063209157127275859818117814435425385\

                                                               /
    58244890234268123382711598869488950383851584414891877631  /  25780081871\
                                                             /
    527435460296151759010212062370557743351506829809278746259585148885060585\

    14432025180429565979254128011158454251189179, and in floating point,

    0.0002416788248, and this happens with the pairs of cells,

    {[[1, 150], [2, 132]], [[1, 175], [2, 157]]}

The minimal sorting probability of Standard Young tableaux of shape, [307, 307],

     is , 2759114601554590509450045612187376563345970685884860950833019860614\

                                  /
    354052861527038175795007599  /  6139377501065423594249727284046156080160\
                                /

    707385605965064041725165769251715564755708733808186360201,

    and in floating point, 0.0004494127623,

    and this happens with the pairs of cells,

    {[[1, 111], [2, 94]], [[1, 214], [2, 197]]}

The minimal sorting probability of Standard Young tableaux of shape, [308, 308],

     is , 1984176960598110998669251215967943818021220718450475240780486514358\

                                                            /
    46250974687620442511628050707527603502638455367492985  /  45603169724818\
                                                          /
    260258891590621244478568768399968356847467913501531169752665058206289293\

    3204391565383315461109494723691188037, and in floating point,

    0.0004350962822, and this happens with the pairs of cells,

    {[[1, 146], [2, 128]], [[1, 181], [2, 163]]}

The minimal sorting probability of Standard Young tableaux of shape, [309, 309],

     is , 4466921767844549932834243718212584288222639884381181254448463325124\

                                                        /
    9422221070844474386613211677324148681542644919487  /  298619707701011507\
                                                      /
    101297400211856648349607996840411572862212615933528961128629525756489812\

    837457684256058922740577167077, and in floating point, 0.0001495856319,

    and this happens with the pairs of cells,

    {[[1, 144], [2, 126]], [[1, 184], [2, 166]]}

The minimal sorting probability of Standard Young tableaux of shape, [310, 310],

     is , 2737925852195164566599344253028739926439593551928547520077723026653\

                                                          /
    981626305450302642148972895671242772779364334751153  /  5760061160725743\
                                                        /
    206381682714001506851593430171349468554160922668247588374857899265937504\

    633456797088100581317112152777981, and in floating point, 0.0004753293022,

    and this happens with the pairs of cells,

    {[[1, 143], [2, 125]], [[1, 186], [2, 168]]}

The minimal sorting probability of Standard Young tableaux of shape, [311, 311],

     is , 3899417002364025598072079308586807270992682928722251045266838548885\

                                  /
    884034894119506883973774269  /  5488503644870222540425628466343403150072\
                                /

    612336082170282119210501463550912511678499316232400676469,

    and in floating point, 0.0007104699668,

    and this happens with the pairs of cells,

    {[[1, 110], [2, 93]], [[1, 219], [2, 202]]}

The minimal sorting probability of Standard Young tableaux of shape, [312, 312],

     is , 1008115928142948917078441056751783085347565161997740077560416516957\

                        /
    67832568720075309  /  23173222039760541904443011187465550851240459717634\
                      /

    6842246675138029221092605508445911851, and in floating point,

    0.0004350348546, and this happens with the pairs of cells,

    {[[1, 77], [2, 62]], [[1, 251], [2, 236]]}

The minimal sorting probability of Standard Young tableaux of shape, [313, 313],

     is , 3256548534264866742053679974732358835302953044612299265018584208958\

                             /
    5668405289755683642983  /  209898409775038957264133308352463631150450847\
                           /

    147096295431547702221767621922145452101392613423, and in floating point,

    0.0001551487950, and this happens with the pairs of cells,

    {[[1, 91], [2, 75]], [[1, 239], [2, 223]]}

The minimal sorting probability of Standard Young tableaux of shape, [314, 314],

     is , 1787715532983391408703665941710784198345349817455211039899946693170\

                                  /
    791022314866005351707467401  /  1629892186469201010733673501000589855117\
                                /

    2285872955726273069585305180244120109432094990759309426913,

    and in floating point, 0.0001096830544,

    and this happens with the pairs of cells,

    {[[1, 109], [2, 92]], [[1, 223], [2, 206]]}

The minimal sorting probability of Standard Young tableaux of shape, [315, 315],

     is , 3083101562749924760763608911858960806205439022482269885555057131321\

                                                   /
    71849836027302362941188953090604221341142393  /  35303325088408606416134\
                                                 /
    717307408257599109997655344707059455756803536438993697743249495451294860\

    7321922655689255010, and in floating point, 0.0008733176139,

    and this happens with the pairs of cells,

    {[[1, 137], [2, 119]], [[1, 197], [2, 179]]}

The minimal sorting probability of Standard Young tableaux of shape, [316, 316],

     is , 3979609419511381937348725863039526586264758912991167466233456100243\

                                                    /
    013588466522003585429751046368777477427038524  /  3840758298411350111824\
                                                  /
    311486374932852592829055262501750778721128108878104314357929384763752940\

    883105744754136550195, and in floating point, 0.001036152007,

    and this happens with the pairs of cells,

    {[[1, 137], [2, 119]], [[1, 198], [2, 180]]}

The minimal sorting probability of Standard Young tableaux of shape, [317, 317],

     is , 4962690763084460999229431732525169296740752194381434275654113210047\

                                                  /
    4290004699814414863093626789402229908948313  /  810714152698965722812519\
                                                /
    574960407989993209299263852612301577019125884560277437029949290501940028\

    09619942039821640, and in floating point, 0.0006121381681,

    and this happens with the pairs of cells,

    {[[1, 136], [2, 118]], [[1, 200], [2, 182]]}

The minimal sorting probability of Standard Young tableaux of shape, [318, 318],

     is , 1272355696050112911853712699758731370399748231793349202849318524148\

                                             /
    47717044362740361192246250047483878547  /  29205530898670592128194783402\
                                           /
    916440122819189014735680025575025637274801778741209500240053826969667653\

    14217435, and in floating point, 0.00004356557326,

    and this happens with the pairs of cells,

    {[[1, 135], [2, 117]], [[1, 202], [2, 184]]}

The minimal sorting probability of Standard Young tableaux of shape, [319, 319],

           1760017863632153672893130611161992246151945421490698363
     is , ----------------------------------------------------------,
          5567551619080311957336275343558270997366503707259761283925

    and in floating point, 0.0003161206189,

    and this happens with the pairs of cells,

    {[[1, 47], [2, 35]], [[1, 285], [2, 273]]}

The minimal sorting probability of Standard Young tableaux of shape, [320, 320],

     is , 1468316913724740935280221287311706513848268166250429405309274245829\

                            /
    724536347504915583297  /  1936388506046343962720860312521056260003857422\
                          /

    55656131078484452169221003559400671137853189791, and in floating point,

                   -5
    0.7582759912 10  , and this happens with the pairs of cells,

    {[[1, 90], [2, 74]], [[1, 247], [2, 231]]}

The minimal sorting probability of Standard Young tableaux of shape, [321, 321],

     is ,

      7833585681244325593739995480641753360232290905235190407270512537401
    -----------------------------------------------------------------------,
    37225662184300266836390245118700530616347571369753296803919722164483225

    and in floating point, 0.0002104350929,

    and this happens with the pairs of cells,

    {[[1, 65], [2, 51]], [[1, 271], [2, 257]]}

The minimal sorting probability of Standard Young tableaux of shape, [322, 322],

     is ,

      73916982383660008797372535853382340101357382838968255593868640706956
    ------------------------------------------------------------------------,
    188473234523661980911802579616727883356783373155522597204097490958761525

    and in floating point, 0.0003921882201,

    and this happens with the pairs of cells,

    {[[1, 65], [2, 51]], [[1, 272], [2, 258]]}

The minimal sorting probability of Standard Young tableaux of shape, [323, 323],

     is , 2505509064838937226490310707961077519009716081372343138495108319391\

                                                   /
    00857073169191908425665579625589765273317531  /  28825081297325171179165\
                                                 /
    056129440354753212940659971263730493461226623268182890735355890598831314\

    2458218762174314855, and in floating point, 0.0008692114478,

    and this happens with the pairs of cells,

    {[[1, 132], [2, 114]], [[1, 210], [2, 192]]}

The minimal sorting probability of Standard Young tableaux of shape, [324, 324],

     is , 4858034570562585539892143918735656375261254500464118376609746094842\

                                                    /
    648940401213535357311487571564510018628633371  /  1434602123028414288686\
                                                  /
    137793519069963486828662077031356433020724125019578025408136558555187989\

    2551574426086675516245, and in floating point, 0.0003386328859,

    and this happens with the pairs of cells,

    {[[1, 131], [2, 113]], [[1, 212], [2, 194]]}

The minimal sorting probability of Standard Young tableaux of shape, [325, 325],

     is , 5986288798982047100125455613500747687365444142586159720575681629883\

                   /
    008364121837  /  5419377257573755855376236059235827571901647974374637363\
                 /

    2166996151383400863965192395, and in floating point, 0.0001104608245,

    and this happens with the pairs of cells,

    {[[1, 76], [2, 61]], [[1, 265], [2, 250]]}

The minimal sorting probability of Standard Young tableaux of shape, [326, 326],

     is , 3765391856155547824595766939623302227797285041498801993386372808539\

                                 /
    64414072077733978457770429  /  56440884239889900263469300641913371156047\
                               /

    09157734690304977375393401995320144002412526651253971507,

    and in floating point, 0.00006671390618,

    and this happens with the pairs of cells,

    {[[1, 106], [2, 89]], [[1, 238], [2, 221]]}

The minimal sorting probability of Standard Young tableaux of shape, [327, 327],

     is , 6718842357282459948579035560297530912363040714056691135728101389757\

                                  /
    493450169741537438224390553  /  7644012865848828043370110152698457627661\
                                /

    300997258619893391641930703790451166140859295033533900295,

    and in floating point, 0.0008789679551,

    and this happens with the pairs of cells,

    {[[1, 89], [2, 73]], [[1, 255], [2, 239]]}

The minimal sorting probability of Standard Young tableaux of shape, [328, 328],

     is , 4466403373287948068474624313860214727410542729458547253982604901601\

                                /
    3721126414771574330863687  /  764401286584882804337011015269845762766130\
                              /

    0997258619893391641930703790451166140859295033533900295,

                                          -5
    and in floating point, 0.5843008707 10  ,

    and this happens with the pairs of cells,

    {[[1, 89], [2, 73]], [[1, 256], [2, 240]]}

The minimal sorting probability of Standard Young tableaux of shape, [329, 329],

           280897511109698409117133284888527346649
     is , ------------------------------------------, and in floating point,
          410255295112252270354604589122514729719975

    0.0006846895444, and this happens with the pairs of cells,

    {[[1, 33], [2, 23]], [[1, 307], [2, 297]]}

The minimal sorting probability of Standard Young tableaux of shape, [330, 330],

     is , 6225260624477376689441963142646540151142660468723373020892395265098\

                                              /
    375538976980244188001583815164548303973  /  2949420500779459740081045905\
                                            /
    467662249880319535493953228804774782741022460211590027259864649438501107\

    7893529791, and in floating point, 0.0002110672460,

    and this happens with the pairs of cells,

    {[[1, 128], [2, 110]], [[1, 221], [2, 203]]}

The minimal sorting probability of Standard Young tableaux of shape, [331, 331],

     is , 9106898592687325940722983598879219578308617421543550075882882431876\

                                   /
    3958455350811255934497816885  /  483840695618974285692878713975480774097\
                                 /

    031276199568275402029429745171678500869875329694427029895429,

    and in floating point, 0.0001882210131,

    and this happens with the pairs of cells,

    {[[1, 105], [2, 88]], [[1, 244], [2, 227]]}

The minimal sorting probability of Standard Young tableaux of shape, [332, 332],

            41695446360425822999722662163723505366747
     is , ---------------------------------------------, and in floating point,
          829700566895860607778951256092935016667670075

    0.00005025360717, and this happens with the pairs of cells,

    {[[1, 33], [2, 23]], [[1, 310], [2, 300]]}

The minimal sorting probability of Standard Young tableaux of shape, [333, 333],

            323845991895243585009782808798165881609471626617335588593803887
     is , -------------------------------------------------------------------,
          6660130711578809076606410990232895349793530903794886148722157894575

    and in floating point, 0.00004862456999,

    and this happens with the pairs of cells,

    {[[1, 55], [2, 42]], [[1, 292], [2, 279]]}

The minimal sorting probability of Standard Young tableaux of shape, [334, 334],

            5800351374723642468386382164012885540802053085615827668599677
     is , -----------------------------------------------------------------,
          11663976727808772463408775814768643344647164454982287475870679325

    and in floating point, 0.0004972876327,

    and this happens with the pairs of cells,

    {[[1, 55], [2, 42]], [[1, 293], [2, 280]]}

The minimal sorting probability of Standard Young tableaux of shape, [335, 335],

     is , 5268953443055829038049411047337597202624551999205343566576227219333\

                                            /
    2538604273958955195493738405312425563  /  219040615116225323906558102091\
                                          /
    309681198075071897575291908315329767755054917497057672108811853611377804\

    743755, and in floating point, 0.0002405468703,

    and this happens with the pairs of cells,

    {[[1, 126], [2, 108]], [[1, 228], [2, 210]]}

The minimal sorting probability of Standard Young tableaux of shape, [336, 336],

     is , 2075565813851190219374345760628600223480373167909216122672626807921\

                                    /
    82178647984886599608081348265  /  70038154701894840148379609385106359313\
                                  /

    39708308500144723959337598094512847342469981037224989726190807,

    and in floating point, 0.00002963478725,

    and this happens with the pairs of cells,

    {[[1, 104], [2, 87]], [[1, 250], [2, 233]]}

The minimal sorting probability of Standard Young tableaux of shape, [337, 337],

     is , 6241375029850004371561903278552620043788360925889414495902678590358\
    147314232598940933234736117646523276744976414545600671456865063023005130\

                          /
    1317042254027492913  /  209233366281666766195419541473719536850320131756\
                        /
    085918572699829761814759454580429788140598963859240700684237073820614939\

    6800950022771257393269373211132372338034825, and in floating point,

    0.00002982973099, and this happens with the pairs of cells,

    {[[1, 175], [2, 156]], [[1, 182], [2, 163]]}

The minimal sorting probability of Standard Young tableaux of shape, [338, 338],

     is , 4443877254663968927399775716772135445660394029730285401751171254580\
    021685753598878787388316311232582692698363479487299789278984272520262444\

             /
    928807  /  6425725092828073984995311103519514786113853867209275371138358\
           /
    276227595182626449188129317153876200143204908786634723149489816088000855\

    4114103368642825, and in floating point, 0.00006915759997,

    and this happens with the pairs of cells,

    {[[1, 169], [2, 150]], [[1, 189], [2, 170]]}

The minimal sorting probability of Standard Young tableaux of shape, [339, 339],

     is , 7436751002476732097358288608483912198328287627444187375038702902107\
    118376185162442414071666055969878285335485427254289276616929030459061314\

          /
    267  /  3906175892003545788077047139057569657455992122413341994826483239\
        /
    026317156784353791792923703328793357109862879700838301177881877637408087\

    04326785925, and in floating point, 0.00001903844376,

    and this happens with the pairs of cells,

    {[[1, 166], [2, 147]], [[1, 193], [2, 174]]}

The minimal sorting probability of Standard Young tableaux of shape, [340, 340],

     is , 5177388314339882214792333398233664768808112742488135860226387579809\

                                          /
    04079709670458712245451297097189825  /  18260386294947413159523979683915\
                                        /
    389012896798754949454607793658206325393499511528434285535892062738520357\

    27, and in floating point, 0.0002835311494,

    and this happens with the pairs of cells,

    {[[1, 124], [2, 106]], [[1, 235], [2, 217]]}

The minimal sorting probability of Standard Young tableaux of shape, [341, 341],

     is , 9410858419742930183484712468690641731658403034086539041212636091178\

                                                                            /
    440107854484058686393849374323794984162254950531945561512978836783431  /
                                                                          /
    248129876229900831164436264527668929704210371273707262161706139351513067\

    15843762662282709241080055487560956176182308813631676345714651975045,

    and in floating point, 0.0003792714752,

    and this happens with the pairs of cells,

    {[[1, 162], [2, 143]], [[1, 199], [2, 180]]}

The minimal sorting probability of Standard Young tableaux of shape, [342, 342],

     is , 1220405448253042100560969562892387878489819334422715970966979668470\

                                                                        /
    51982466101082051952325004856648687815962153569497221363869214187  /  39\
                                                                      /
    529972597120920825766381179309076078217315467859744924716852095982456298\

    749644120253443078996906342580125811010181674457870600889626695,

                                          -5
    and in floating point, 0.3087291410 10  ,

    and this happens with the pairs of cells,

    {[[1, 160], [2, 141]], [[1, 202], [2, 183]]}

The minimal sorting probability of Standard Young tableaux of shape, [343, 343],

     is , 4133711095866372466708357162644507024721180228761753826778147965329\

                                            /
    5083204327502643832283111600920121825  /  161015051756563656037054225234\
                                          /
    734886444792625695448177752792351146672731258165440112998739571652554519\

    657967, and in floating point, 0.0002567282407,

    and this happens with the pairs of cells,

    {[[1, 123], [2, 105]], [[1, 239], [2, 221]]}

The minimal sorting probability of Standard Young tableaux of shape, [344, 344],

     is , 1193460086361147715565820638426240136775025353137467706461633045274\

                   /
    942948912037  /  6075129883251531881560465291853016018554144606502762935\
                 /

    762574542093686638891636550, and in floating point, 0.0001964501351,

    and this happens with the pairs of cells,

    {[[1, 64], [2, 50]], [[1, 295], [2, 281]]}

The minimal sorting probability of Standard Young tableaux of shape, [345, 345],

     is , 3968316172115534265431941998841526840924399160876252977570447489185\

                                                                    /
    0658266908524719654517434314368667519261600658003484199291641  /  817708\
                                                                  /
    486298337078548127977756919080769084093148287970657853258995086048656534\

    921576042753237068988489287404744280454191712762883725,

    and in floating point, 0.00004852971736,

    and this happens with the pairs of cells,

    {[[1, 156], [2, 137]], [[1, 209], [2, 190]]}

The minimal sorting probability of Standard Young tableaux of shape, [346, 346],

     is , 7226850139782390235305285228814340650721151558700658166437848654240\

                                                                    /
    3721324691249142259220956091798467399141065333511252006913119  /  281813\
                                                                  /
    747646958065474691487596025478708946188710956103603280100730974792828760\

    913121718475055767915733714512059001393439637665412795,

    and in floating point, 0.0002564406527,

    and this happens with the pairs of cells,

    {[[1, 155], [2, 136]], [[1, 211], [2, 192]]}

The minimal sorting probability of Standard Young tableaux of shape, [347, 347],

     is , 1367676313680050981289198927491619361953779593788144735658418688099\

                               /
    693850425764931278127992  /  3733231485059849193391275534739318647629747\
                             /

    14631955782577268006246109043964677450464109753379071,

                                          -5
    and in floating point, 0.3663518641 10  ,

    and this happens with the pairs of cells,

    {[[1, 87], [2, 71]], [[1, 277], [2, 261]]}

The minimal sorting probability of Standard Young tableaux of shape, [348, 348],

     is , 2448533674826814858791600387097557919791197492293026602090038417685\

                                       /
    66898859242731768603385044605199  /  34032143134134341045361467893254978\
                                     /

    77002782041076743960495259002694879272064446812274690986593559078740,

    and in floating point, 0.00007194767797,

    and this happens with the pairs of cells,

    {[[1, 102], [2, 85]], [[1, 264], [2, 247]]}

The minimal sorting probability of Standard Young tableaux of shape, [349, 349],

     is , 3357082410236931204343681629010251759593641517382907312103766576657\

                                                                  /
    24036315020132584898269114283544140904516818677790684454197  /  22656279\
                                                                /
    078160815839414093321299963892725357676816329244140872546437822638423445\

    83548687752717209218529717597258558299585168749330, and in floating point,

    0.0001481744817, and this happens with the pairs of cells,

    {[[1, 152], [2, 133]], [[1, 217], [2, 198]]}

The minimal sorting probability of Standard Young tableaux of shape, [350, 350],

     is , 7544692543682360579258286140817344548415043945825577864682830737076\

                                                                     /
    38618200299423292423994691810303530020529381409532163480155437  /  58713\
                                                                   /
    747231053754247841622842148856427997764419469517236191071204093617367474\

    35988266424311166647689819763153295553833374964813888695,

    and in floating point, 0.0001284995917,

    and this happens with the pairs of cells,

    {[[1, 151], [2, 132]], [[1, 219], [2, 200]]}

The minimal sorting probability of Standard Young tableaux of shape, [351, 351],

     is , 1222504461716609981959356880837720661345622783545020862872744282317\

                                                                    /
    3037356354219483273159998765876365459965863632420327936027459  /  233325\
                                                                  /
    227518119046750474649019248115669739810645457919730667072455453975218677\

    69249115717448102427057770474721853203460313552426805,

    and in floating point, 0.0005239486852,

    and this happens with the pairs of cells,

    {[[1, 150], [2, 131]], [[1, 221], [2, 202]]}

The minimal sorting probability of Standard Young tableaux of shape, [352, 352],

     is , 2522723033062642348167370522760176359027249786774455666993862970629\

                                                                   /
    874654609136823175470501250314304076303999119084166789601733  /  2431840\
                                                                 /
    399484621050638749863017515571769119153206181135221037093197689319180584\

    400612060691774055777852133985094559233891835041667, and in floating point,

    0.001037371956, and this happens with the pairs of cells,

    {[[1, 149], [2, 130]], [[1, 223], [2, 204]]}

The minimal sorting probability of Standard Young tableaux of shape, [353, 353],

     is , 3720099509696890065688501747631976814086168869539567755069758695160\

                                                              /
    4275187636784809719757462890394071294163828637077099151  /  616170572753\
                                                            /
    090189433894104699499726801915309804692815572766385384673098837151139081\

    27313750071091743789342617745438819566601, and in floating point,

    0.0006037450787, and this happens with the pairs of cells,

    {[[1, 149], [2, 130]], [[1, 224], [2, 205]]}

The minimal sorting probability of Standard Young tableaux of shape, [354, 354],

     is , 2222470994001078476411779582582008365370068518493847133280880012041\

                                                                 /
    7304611269762182063535111328537332261969817867510580367327  /  383030356\
                                                               /
    177620317625615730963277622863182169313711767561154562509285743057578639\

    189629277115224410485933849312562085411208737117, and in floating point,

    0.00005802336442, and this happens with the pairs of cells,

    {[[1, 148], [2, 129]], [[1, 226], [2, 207]]}

The minimal sorting probability of Standard Young tableaux of shape, [355, 355],

     is , 2780099435258259172811164961941239413777314814779818964005521249411\

                                       /
    55987440709997094315485893272805  /  12307989645380336932996556055914771\
                                     /

    25872203521495897357923630683746726731148813070969686953845306478467,

    and in floating point, 0.0002258776222,

    and this happens with the pairs of cells,

    {[[1, 101], [2, 84]], [[1, 272], [2, 255]]}

The minimal sorting probability of Standard Young tableaux of shape, [356, 356],

     is , 3268843067958510951606283807310861233659402031267781477409361891411\

                      /
    789589893910159  /  2607630565978269441821477688952207519161488939928619\
                    /

    57979601981053611480756016812363229, and in floating point,

    0.00001253568320, and this happens with the pairs of cells,

    {[[1, 74], [2, 59]], [[1, 298], [2, 283]]}

The minimal sorting probability of Standard Young tableaux of shape, [357, 357],

     is , 1160722834889482972752543504136350698634596034270638322157882042431\

                                                              /
    0651699429306366442035357137792744884320263606971860827  /  608275422538\
                                                            /
    838620988358297881026989832685298874896577016395527594269833622251702882\

    67296795178810237707843392709185838676185, and in floating point,

    0.0001908219191, and this happens with the pairs of cells,

    {[[1, 146], [2, 127]], [[1, 231], [2, 212]]}

The minimal sorting probability of Standard Young tableaux of shape, [358, 358],

     is , 2197243824023493967763563251616183693224649459378698474703984210911\

                                /
    5909589765072420985549592  /  860330606876673807881328597722710438751904\
                              /

    35720746251876753936942116008168556245507301107179415,

    and in floating point, 0.0002553952872,

    and this happens with the pairs of cells,

    {[[1, 86], [2, 70]], [[1, 289], [2, 273]]}

The minimal sorting probability of Standard Young tableaux of shape, [359, 359],

     is , 8159374933144158017227041597632075391175977842699769972686505255219\

                                                           /
    5919451123516007593504086368364230017583200195976753  /  302078087942538\
                                                         /
    367082254685177936654092981412533808683845614031762391339496377820844668\

    291082152105017962201950248778431349, and in floating point,

    0.0002701081362, and this happens with the pairs of cells,

    {[[1, 145], [2, 126]], [[1, 234], [2, 215]]}

The minimal sorting probability of Standard Young tableaux of shape, [360, 360],

     is , 2288010394745076157515210751999528744369091715626754418298067127366\

                                                            /
    37318912037835516120274285772668782572831913554794137  /  25205370954528\
                                                          /
    661965764355814641092923333253185830539541417081011132130370029224094449\

    5418756121415040864317614031599403715, and in floating point,

    0.0009077471619, and this happens with the pairs of cells,

    {[[1, 144], [2, 125]], [[1, 236], [2, 217]]}

The minimal sorting probability of Standard Young tableaux of shape, [361, 361],

     is , 1692529348432716502198360850107643806092163043046375731968082988578\

                                                           /
    1909797199892391681884961342886524544478192626765221  /  307424842269796\
                                                         /
    469142005378800370563062771982972447048228521867407253494295058300674500\

    12303307829872244156237503453030905, and in floating point, 0.0005505506113,

    and this happens with the pairs of cells,

    {[[1, 144], [2, 125]], [[1, 237], [2, 218]]}

The minimal sorting probability of Standard Young tableaux of shape, [362, 362],

     is , 2658678327854604527410668959682033121199540194497282257885760837686\

                                                /
    11085501906330646520351017433506915759097  /  13162635808379215571392564\
                                              /
    055933906132737438405228090967825225166437219145430881468424602325458599\

    11440023115340, and in floating point, 0.0002019867728,

    and this happens with the pairs of cells,

    {[[1, 100], [2, 83]], [[1, 280], [2, 263]]}

The minimal sorting probability of Standard Young tableaux of shape, [363, 363],

     is , 9843280447840616142243059812903954779549481568961428250015690050451\

                                                   /
    06487845456479934335882273921340946178396039  /  15877429443857428782992\
                                                 /
    280392470274272614535076306384729939177857014895594176000771287176555084\

    43518174527882878875, and in floating point, 0.0006199542868,

    and this happens with the pairs of cells,

    {[[1, 100], [2, 83]], [[1, 281], [2, 264]]}

The minimal sorting probability of Standard Young tableaux of shape, [364, 364],

     is , 3574019872547386534044612185139633414825242498501971320998892827514\

                                                         /
    92022572564864629832985653817024379020230199078017  /  44587656441320172\
                                                       /
    832914466150410376333625219420033847927554192139866939857897785763755252\

    7610841354588946850249279704315, and in floating point, 0.0008015715913,

    and this happens with the pairs of cells,

    {[[1, 142], [2, 123]], [[1, 242], [2, 223]]}

The minimal sorting probability of Standard Young tableaux of shape, [365, 365],

     is , 2337722948300286222665936600807136241224984712588302269912148989410\

                                                          /
    124720745898684704711458629293468050621541284521847  /  4012889079718815\
                                                        /
    554962301953536933870026269747803046313479877292588024587210800718737972\

    748497572191300521652243517338835, and in floating point, 0.0005825535922,

    and this happens with the pairs of cells,

    {[[1, 142], [2, 123]], [[1, 243], [2, 224]]}

The minimal sorting probability of Standard Young tableaux of shape, [366, 366],

     is , 1082795210450602051718391814468178032971243690706029729619389210867\

                                              /
    374839323440513916947251593514177179691  /  2530422800106432760609921867\
                                            /
    096028383340777140177606537584751655488223453203159269520511257291242918\

    497337315, and in floating point, 0.0004279107865,

    and this happens with the pairs of cells,

    {[[1, 117], [2, 99]], [[1, 268], [2, 250]]}

The minimal sorting probability of Standard Young tableaux of shape, [367, 367],

     is , 5061105244337642645626032017191447518058203229269040761616764288929\

                                                       /
    595448101110039433507132715021984703476921189951  /  1489031489885082996\
                                                     /
    333605343671730186001516508036120576376929374391656426982508404247692390\

    2626393590309264259543579355, and in floating point, 0.0003398924253,

    and this happens with the pairs of cells,

    {[[1, 141], [2, 122]], [[1, 246], [2, 227]]}

The minimal sorting probability of Standard Young tableaux of shape, [368, 368],

           368250026825894033727320691094795311137031285908003
     is , ------------------------------------------------------,
          298581539622186109720926545019343967800543904734076835

    and in floating point, 0.001233331529,

    and this happens with the pairs of cells,

    {[[1, 39], [2, 28]], [[1, 341], [2, 330]]}

The minimal sorting probability of Standard Young tableaux of shape, [369, 369],

     is , 1812491020360384300443339801886340636535974992503783678438930268094\

                                                      /
    69941684920209070851519566379138494574203032037  /  25285440394274994277\
                                                    /
    363109609519946554742733155330349410174272395330014797816180449489116061\

    06368722882705251620607815, and in floating point, 0.00007168121227,

    and this happens with the pairs of cells,

    {[[1, 140], [2, 121]], [[1, 249], [2, 230]]}

The minimal sorting probability of Standard Young tableaux of shape, [370, 370],

     is , 6664532851279617047434516662905948261060050092515245398607048668594\

                                                  /
    2083301820906437891263969040943071409541222  /  164698629196655268127480\
                                                /
    118945152261044088117417480770200397845178147859121415921598226610062527\

    380770049025877655, and in floating point, 0.0004046501713,

    and this happens with the pairs of cells,

    {[[1, 99], [2, 82]], [[1, 289], [2, 272]]}

The minimal sorting probability of Standard Young tableaux of shape, [371, 371],

     is , 1012027745653361370558968003486411186093992631065394527761800192671\

                              /
    35826151073163066240943  /  51145745316001637889530008658579888469318250\
                            /

    2140923321901811457042125533015302698975495517695, and in floating point,

    0.0001978713458, and this happens with the pairs of cells,

    {[[1, 85], [2, 69]], [[1, 303], [2, 287]]}

The minimal sorting probability of Standard Young tableaux of shape, [372, 372],

     is , 4140543021475616104318370933608000980232713076662654045507001442394\
    095990021127190499157230700824433987255678899770120603001693407810318445\

                              /
    30205897125791304571601  /  38969779816872680915722195025156116973246142\
                            /
    412475359352754107365677549529583995208900353821825600486905284516397017\

    31361858819626346597467811442318587589271535367965, and in floating point,

    0.0001062501005, and this happens with the pairs of cells,

    {[[1, 190], [2, 170]], [[1, 203], [2, 183]]}

The minimal sorting probability of Standard Young tableaux of shape, [373, 373],

     is ,

      77685707714569416304626811697805227802893307255699209291368270261
    ----------------------------------------------------------------------,
    3358691856721259139641539454100035082651598547824707328830514093605423

    and in floating point, 0.00002312975141,

    and this happens with the pairs of cells,

    {[[1, 54], [2, 41]], [[1, 333], [2, 320]]}

The minimal sorting probability of Standard Young tableaux of shape, [374, 374],

     is , 3660019308906402883260162711009443189684588186888359551576237861504\

                                                /
    11998299414814008087523956361924445104867  /  24208187296923742074861156\
                                              /
    645986410861235578019262708762201143940522097912575896911840473018678101\

    45147325206085, and in floating point, 0.0001511893172,

    and this happens with the pairs of cells,

    {[[1, 138], [2, 119]], [[1, 256], [2, 237]]}

The minimal sorting probability of Standard Young tableaux of shape, [375, 375],

     is , 3752866418289527280400107463993805632776109047946053023426774328584\
    033972821633307512432574207820266946997267895412879347488639820568929608\

               /
    70734633  /  35655072330577392476791805598137554651365992862137637308887\
             /
    369508247039319392240255454842337710744049925904688642930168632714918765\

    08951633599614113069, and in floating point, 0.0001052547695,

    and this happens with the pairs of cells,

    {[[1, 180], [2, 160]], [[1, 216], [2, 196]]}

The minimal sorting probability of Standard Young tableaux of shape, [376, 376],

     is , 4484648663616535309812350994383429585496996347939342665121482360007\

                /
    904060517  /  2070816651543284274282004544305262742905152972976491218747\
              /

    56839639449442017047607, and in floating point, 0.00002165642555,

    and this happens with the pairs of cells,

    {[[1, 73], [2, 58]], [[1, 319], [2, 304]]}

The minimal sorting probability of Standard Young tableaux of shape, [377, 377],

     is , 4069589972374827205454786244041505612855931964269142335612586056077\

                                                  /
    2878565569310723880161857085383950680543411  /  352643857408853741573980\
                                                /
    275146921965755039734590788626709550609226958983963836870894148245183822\

    415098740484162320, and in floating point, 0.0001154022645,

    and this happens with the pairs of cells,

    {[[1, 137], [2, 118]], [[1, 260], [2, 241]]}

The minimal sorting probability of Standard Young tableaux of shape, [378, 378],

            119203058716473845347608432548508734978188558819228811928121
     is , ----------------------------------------------------------------,
          1071441925546255100043245467352341230664348493612014073367127421

    and in floating point, 0.0001112548015,

    and this happens with the pairs of cells,

    {[[1, 46], [2, 34]], [[1, 345], [2, 333]]}

The minimal sorting probability of Standard Young tableaux of shape, [379, 379],

           29009332020857459797756733248700837915239615111331583824753959
     is , -----------------------------------------------------------------,
          75254988028315835016439498650221657778517590587408782287115867209

    and in floating point, 0.0003854805214,

    and this happens with the pairs of cells,

    {[[1, 46], [2, 34]], [[1, 346], [2, 334]]}

The minimal sorting probability of Standard Young tableaux of shape, [380, 380],

     is , 1192653872130258492022097968684265575362401826845360276820287784036\
    501477749937727767239929743428095226398214502761967068138216018297952620\

           /
    3481  /  104223186519300279821163238862682946941184923137904536770033207\
         /
    920271559502042027692269745283105783036028281167960356417455277284333157\

    333701501059, and in floating point, 0.0001144326816,

    and this happens with the pairs of cells,

    {[[1, 172], [2, 152]], [[1, 229], [2, 209]]}

The minimal sorting probability of Standard Young tableaux of shape, [381, 381],

     is , 3533507764759138642842812812228555660374801983295448223300237842094\
    138644482236186660129363962287642727615255441009270000762511492854176692\

          /
    457  /  2751917261758832985427175202241004722218708548451090085965833303\
        /
    004288955881430721081623424233584034273564249397049462768664059357786741\

    1060317293, and in floating point, 0.0001284016716,

    and this happens with the pairs of cells,

    {[[1, 171], [2, 151]], [[1, 231], [2, 211]]}

The minimal sorting probability of Standard Young tableaux of shape, [382, 382],

     is , 6704239229539913170254824605365317524619405064301715500267974661773\
    759112740396100565756396768531608738059644816475483343618202520522847508\

        /
    7  /  248480113928562797781234781240722774015233277512513777513844993499\
      /
    258596467849275041230106025605781875716862248040583545703301070680518384\

    291804, and in floating point, 0.0002698098904,

    and this happens with the pairs of cells,

    {[[1, 170], [2, 150]], [[1, 233], [2, 213]]}

The minimal sorting probability of Standard Young tableaux of shape, [383, 383],

     is , 1143900267560489268042014672314641824948409993666561452635820779155\

                                                     /
    6495394814634494200745329083037626063724117747  /  462674431017159844712\
                                                   /
    711464972744549292952366831890534122794242885874146795093767215901221132\

    953589499098744340198735, and in floating point, 0.00002472365428,

    and this happens with the pairs of cells,

    {[[1, 135], [2, 116]], [[1, 268], [2, 249]]}

The minimal sorting probability of Standard Young tableaux of shape, [384, 384],

     is , 2717633756500619814448867237641558760260252069223608797259181162245\

                                                                            /
    038752779520532432709442463004597637709929594748071289170117062219457  /
                                                                          /
    107963136965492428723325215058263615123451465013130786207621804785129697\

    37761366057199168887494118802715031474799472491975249658816843502289,

    and in floating point, 0.0002517186730,

    and this happens with the pairs of cells,

    {[[1, 168], [2, 148]], [[1, 237], [2, 217]]}

The minimal sorting probability of Standard Young tableaux of shape, [385, 385],

     is , 4049848208768627523409459051624755834891872272902585760929783058959\
    494562914374038215033994710177098774278496534762385051708254303317196806\

         /
    01  /  43188467929798432457651893345515527982486262292726370482661872601\
       /
    506764178647286818287790777460913011950623210862851622722953895018130418\

    09417577, and in floating point, 0.00009377151825,

    and this happens with the pairs of cells,

    {[[1, 167], [2, 147]], [[1, 239], [2, 219]]}

The minimal sorting probability of Standard Young tableaux of shape, [386, 386],

     is , 8890321768830992723786547839710960598798876678363588432664842421736\

                        /
    38668100769404473  /  10600918626229716410651661094885211436875610387645\
                      /

    397206569461853676119990714668707059703, and in floating point,

    0.00008386369222, and this happens with the pairs of cells,

    {[[1, 84], [2, 68]], [[1, 319], [2, 303]]}

The minimal sorting probability of Standard Young tableaux of shape, [387, 387],

     is , 3890341022513286024081958716134640721749731721766791033403440142726\

                            /
    552829304328177810571  /  8194510098075570785433734026346268440704846829\
                          /

    649892040678194012891640752822438910557150419, and in floating point,

    0.0004747496770, and this happens with the pairs of cells,

    {[[1, 84], [2, 68]], [[1, 320], [2, 304]]}

The minimal sorting probability of Standard Young tableaux of shape, [388, 388],

     is , 6924272535764660218857106779424037811623351524242675165442874766870\

                                                      /
    24635342186157926353894513634145221434642079509  /  85615613534546736978\
                                                    /
    514404279299799912895340490118208422537040214017924955455440111867783420\

    5953354941498879676917203, and in floating point, 0.0008087628237,

    and this happens with the pairs of cells,

    {[[1, 113], [2, 95]], [[1, 294], [2, 276]]}

The minimal sorting probability of Standard Young tableaux of shape, [389, 389],

     is , 3350350948494798961572570363791996179539243447289806758988900443289\

                                                  /
    3963177518464383850301070590434631947841537  /  149939778519346299436977\
                                                /
    940944483012106646830980942571668190963597229290640027040476125715272496\

    2092717160910117193, and in floating point, 0.00002234464384,

    and this happens with the pairs of cells,

    {[[1, 113], [2, 95]], [[1, 295], [2, 277]]}

The minimal sorting probability of Standard Young tableaux of shape, [390, 390],

     is , 6567176566676476702783592559268351779143131524293075209417306338891\

                                                       /
    182327957786206509375541815710116396952609006599  /  2677028063293140163\
                                                     /
    523894451295396766937217960856604726030821834336527105920782225381737864\

    05144410254864883861937218150, and in floating point, 0.00002453159403,

    and this happens with the pairs of cells,

    {[[1, 133], [2, 114]], [[1, 277], [2, 258]]}

The minimal sorting probability of Standard Young tableaux of shape, [391, 391],

           583783027721596072118413305949149101
     is , ---------------------------------------, and in floating point,
          831052285175900420786524752415349114659

    0.0007024624541, and this happens with the pairs of cells,

    {[[1, 27], [2, 18]], [[1, 374], [2, 365]]}

The minimal sorting probability of Standard Young tableaux of shape, [392, 392],

           3185630548451807956444734195450859
     is , -------------------------------------, and in floating point,
          5622816543815293780693672208493566405

    0.0005665542391, and this happens with the pairs of cells,

    {[[1, 27], [2, 18]], [[1, 375], [2, 366]]}

The minimal sorting probability of Standard Young tableaux of shape, [393, 393],

     is , 6548447033778984689326826896033740982850297306887078530676153754234\

                                                                          /
    0389122457448492400823146582535714294927039550289140547413240517887  /
                                                                        /
    926133403129042686396882030312566897916773699728965086496721203063935623\

    922432955332729850135927561585859904165585414665627447478043086865,

    and in floating point, 0.00007070738418,

    and this happens with the pairs of cells,

    {[[1, 161], [2, 141]], [[1, 253], [2, 233]]}

The minimal sorting probability of Standard Young tableaux of shape, [394, 394],

     is , 1210685422028999453060274458645555435721362248421801005006830649104\

                                                          /
    859660474740959256251540547674705877042059905381031  /  6261830252282951\
                                                        /
    442650044288904392382097337080521587740432316057531238404261384212986375\

    794468708066108635630153097729575, and in floating point, 0.0001933436988,

    and this happens with the pairs of cells,

    {[[1, 132], [2, 113]], [[1, 282], [2, 263]]}

The minimal sorting probability of Standard Young tableaux of shape, [395, 395],

            807646265252072864561377770248864659
     is , ----------------------------------------, and in floating point,
          4951425167217150628887491591669031180165

    0.0001631138991, and this happens with the pairs of cells,

    {[[1, 27], [2, 18]], [[1, 378], [2, 369]]}

The minimal sorting probability of Standard Young tableaux of shape, [396, 396],

            67508008725974724546140512033337883
     is , ----------------------------------------, and in floating point,
          2247032304801357514314403814693174792605

    0.00003004318566, and this happens with the pairs of cells,

    {[[1, 27], [2, 18]], [[1, 379], [2, 370]]}

The minimal sorting probability of Standard Young tableaux of shape, [397, 397],

            340831966733742344836192343994079731
     is , ----------------------------------------, and in floating point,
          3330647883565376652058546215049883384179

    0.0001023320323, and this happens with the pairs of cells,

    {[[1, 27], [2, 18]], [[1, 380], [2, 371]]}

The minimal sorting probability of Standard Young tableaux of shape, [398, 398],

     is , 3379454953134777057884763830183792480071267406122593305148545010090\

                                                          /
    498704792450005292277689424033849452271710755349369  /  3601257629454527\
                                                        /
    078331909827816015304808123755108941387118388737127999480197551431163310\

    2462100922708414730764941702356685, and in floating point, 0.00009384096615,

    and this happens with the pairs of cells,

    {[[1, 131], [2, 112]], [[1, 287], [2, 268]]}

The minimal sorting probability of Standard Young tableaux of shape, [399, 399],

           20956550141223793563402341246829987
     is , --------------------------------------, and in floating point,
          57412426397935891447874404530774627203

    0.0003650176705, and this happens with the pairs of cells,

    {[[1, 27], [2, 18]], [[1, 382], [2, 373]]}

The minimal sorting probability of Standard Young tableaux of shape, [400, 400],

     is , 5312596245491603735934179384740423381398822581698221132915152273742\

                     /
    62906702770813  /  53715873806670599454239333328659566345174661810360151\
                   /

                                                                             -5
    002775073394216914223160979308687, and in floating point, 0.9890179325 10  ,

    and this happens with the pairs of cells,

    {[[1, 72], [2, 57]], [[1, 344], [2, 329]]}

The minimal sorting probability of Standard Young tableaux of shape, [401, 401],

     is , 1305059773682388293079066115843209146091949222599880390550352471367\

                                        /
    330488785993891235448274778217193  /  8226135676885978333060427897654091\
                                      /

    261283783927178406886307624132029586981776016460129618514896481617057,

    and in floating point, 0.0001586479758,

    and this happens with the pairs of cells,

    {[[1, 96], [2, 79]], [[1, 323], [2, 306]]}

The minimal sorting probability of Standard Young tableaux of shape, [402, 402],

     is , 1229689649961738304099228553624938285857442411933090988349178286603\

                                                           /
    0753828263786709906822395649270182111209978321341816  /  462121653082880\
                                                         /
    148638094822244334373008431077390161971552134937041043784917331742299960\

    80935624651833054085538079930102055, and in floating point, 0.0002660965228,

    and this happens with the pairs of cells,

    {[[1, 130], [2, 111]], [[1, 292], [2, 273]]}

The minimal sorting probability of Standard Young tableaux of shape, [403, 403],

     is , 3319786118510344827300005100896995826720879836674548572691815253216\

                          /
    6851329367407652181  /  238734984972447204187127405216414247842067312974\
                        /

    081764341717939823956071039089939874010369, and in floating point,

    0.0001390573786, and this happens with the pairs of cells,

    {[[1, 83], [2, 67]], [[1, 337], [2, 321]]}

The minimal sorting probability of Standard Young tableaux of shape, [404, 404],

     is , 3509345707945178211847752578638651429301480330836266303473522066142\

                          /
    3551077480942662229  /  974502442452022730293433566057897309097361262367\
                        /

    64786961945562689900126114590582437190879, and in floating point,

    0.0003601166662, and this happens with the pairs of cells,

    {[[1, 83], [2, 67]], [[1, 338], [2, 322]]}

The minimal sorting probability of Standard Young tableaux of shape, [405, 405],

     is , 1703000504877621519322232077018173798531030586397642302993139701252\

                                                                   /
    955915904874810513595280080946135684380213362297403942164925  /  2482386\
                                                                 /
    340143665194293604309246982625504629084628342209363738072453828656949108\

    475146552095426128172546957658203520980419026962879, and in floating point,

    0.0006860336271, and this happens with the pairs of cells,

    {[[1, 155], [2, 135]], [[1, 271], [2, 251]]}

The minimal sorting probability of Standard Young tableaux of shape, [406, 406],

     is ,

      5765610106405500231189029786765212270364995445520922972014762653287
    -----------------------------------------------------------------------,
    13779001661884445592638857654689482893609597871563811459953901477267553

    and in floating point, 0.0004184345316,

    and this happens with the pairs of cells,

    {[[1, 62], [2, 48]], [[1, 359], [2, 345]]}

The minimal sorting probability of Standard Young tableaux of shape, [407, 407],

     is , 2551276581853533674646842039872078267776126417177541270349874117379\

                                                             /
    581039034399888892992228552585525515639735821154858467  /  9791695767622\
                                                           /
    377613236385860107304611396890708396771794637026181592317255382006922673\

    2830476989551039818881839630036958495351, and in floating point,

    0.00002605551319, and this happens with the pairs of cells,

    {[[1, 129], [2, 110]], [[1, 298], [2, 279]]}

The minimal sorting probability of Standard Young tableaux of shape, [408, 408],

     is , 2779076311147188691970939490658862547499500156064379495923276127659\
    515198373803857954600727907050737893801147593860224107978385859925311612\

                                                     /
    7908517782458746672232085487793640227182285739  /  182576955886763412122\
                                                   /
    300289499425928450697598927357301126648902776581926109606378983189004215\
    000318310122537319957503136494986206770089230259017630321908108622267620\

    0213901245432448523800781, and in floating point, 0.00001522139690,

    and this happens with the pairs of cells,

    {[[1, 211], [2, 190]], [[1, 219], [2, 198]]}

The minimal sorting probability of Standard Young tableaux of shape, [409, 409],

     is , 1930279601454908961616263582069431416431877166622904842359230768717\
    302679995689569914817466042373258158837209568173364514971444438265913578\

                                         /
    1578713206438110871290491239165193  /  123090601657976042056494414257159\
                                       /
    851857902910539176024176479275608393946659762224297418342137640951248783\

    259005882825031669974073896809006639231856934894830528131540284398453633,

    and in floating point, 0.0001568177891,

    and this happens with the pairs of cells,

    {[[1, 205], [2, 184]], [[1, 226], [2, 205]]}

The minimal sorting probability of Standard Young tableaux of shape, [410, 410],

     is , 1454921593467997412065692422863810808304611442662788958403614821576\
    429474856509811110761600087680491405229624575097600257335196365069547766\

                                 /
    25070339479794686942192181  /  15024333241619238295110421139456982538829\
                               /
    779034891792700133299032484044601016216118187809660246419007379568669830\

    45082308202020060454294199165291927994514839482177031289,

    and in floating point, 0.00009683768125,

    and this happens with the pairs of cells,

    {[[1, 201], [2, 180]], [[1, 231], [2, 210]]}

The minimal sorting probability of Standard Young tableaux of shape, [411, 411],

           1975086796565597987596933053181
     is , ----------------------------------, and in floating point,
          6435749127491465174911082832578369

    0.0003068930683, and this happens with the pairs of cells,

    {[[1, 22], [2, 14]], [[1, 398], [2, 390]]}

The minimal sorting probability of Standard Young tableaux of shape, [412, 412],

     is , 1728692273369177844795490547989241818957244755534994416752504263201\

                                                          /
    685883653474782124335028689091723301643307444510941  /  4440511787387693\
                                                        /
    522763754212914070178964233401802064607376101064468395027735661527543206\

    95190190009363610905949679155320330, and in floating point,

                   -5
    0.3893002330 10  , and this happens with the pairs of cells,

    {[[1, 128], [2, 109]], [[1, 304], [2, 285]]}

The minimal sorting probability of Standard Young tableaux of shape, [413, 413],

           1042853819334003144263403779917
     is , ----------------------------------, and in floating point,
          9136471809370104922670077729438697

    0.0001141418527, and this happens with the pairs of cells,

    {[[1, 22], [2, 14]], [[1, 400], [2, 392]]}

The minimal sorting probability of Standard Young tableaux of shape, [414, 414],

     is , 2011512028228366480692817366127583190606840210186972327522302564855\

                                        /
    788512488798871162461582016750057  /  2099160625053798313970113691228768\
                                      /

    51596109864467536680885499297674950847621510078328544404987116954306643,

                                          -5
    and in floating point, 0.9582458837 10  ,

    and this happens with the pairs of cells,

    {[[1, 95], [2, 78]], [[1, 337], [2, 320]]}

The minimal sorting probability of Standard Young tableaux of shape, [415, 415],

            55076533683339757299680145613313
     is , ------------------------------------, and in floating point,
          718079760688224767075423581334606237

    0.00007669974381, and this happens with the pairs of cells,

    {[[1, 22], [2, 14]], [[1, 402], [2, 394]]}

The minimal sorting probability of Standard Young tableaux of shape, [416, 416],

     is , 2501651973592468909520812671221177259855278482697076205749717867798\
    411934609404310182140787220781189035924253508180906715617247362302195539\

                          /
    8018452357946052219  /  172993633518142033708462036517816587427983373453\
                        /
    475278050513000461988416960383110656752145561409367053003804523862242626\

    045101390261663676731596166369055316718459, and in floating point,

    0.0001446094820, and this happens with the pairs of cells,

    {[[1, 190], [2, 169]], [[1, 248], [2, 227]]}

The minimal sorting probability of Standard Young tableaux of shape, [417, 417],

            519716862538517313455966851067
     is , ----------------------------------, and in floating point,
          1956323694220723883880405839096783

    0.0002656599540, and this happens with the pairs of cells,

    {[[1, 22], [2, 14]], [[1, 404], [2, 396]]}

The minimal sorting probability of Standard Young tableaux of shape, [418, 418],

           1319463751328131743889960761173
     is , ----------------------------------, and in floating point,
          3670854572301807737168851405945649

    0.0003594432101, and this happens with the pairs of cells,

    {[[1, 22], [2, 14]], [[1, 405], [2, 397]]}

The minimal sorting probability of Standard Young tableaux of shape, [419, 419],

           22767668742070528095381120301
     is , --------------------------------, and in floating point,
          50285679072627503248888375423913

    0.0004527664568, and this happens with the pairs of cells,

    {[[1, 22], [2, 14]], [[1, 406], [2, 398]]}

The minimal sorting probability of Standard Young tableaux of shape, [420, 420],

     is , 3424604029132509458826123633494389985021419478318252585996713552915\

                                                              /
    8976372561445714832009076802531030086531131590967029219  /  980147826453\
                                                            /
    985435513567163672347918444158904781321553254033783607611167182271317583\

    20550091150360665294162456415384938105641, and in floating point,

    0.0003493966866, and this happens with the pairs of cells,

    {[[1, 109], [2, 91]], [[1, 330], [2, 312]]}

The minimal sorting probability of Standard Young tableaux of shape, [421, 421],

     is , 1264412453412271296119498139174940581189866703121054983853119401795\

                                                           /
    3520683851782194050178659176868331679332985934224649  /  413137701009659\
                                                         /
    418175512677817155123252287150457963184319515410017597474575745530005566\

    19128259188955008367774248138300389, and in floating point, 0.0003060510939,

    and this happens with the pairs of cells,

    {[[1, 109], [2, 91]], [[1, 331], [2, 313]]}

The minimal sorting probability of Standard Young tableaux of shape, [422, 422],

     is , 2302144317332635279358111131450296087438476610811543297658571809846\

                                    /
    19038600727246843106213940153  /  41833898123103962443543735322107450952\
                                  /

    8979035418557461642671481370508400067551148977888494771769177,

    and in floating point, 0.0005503059530,

    and this happens with the pairs of cells,

    {[[1, 82], [2, 66]], [[1, 357], [2, 341]]}

The minimal sorting probability of Standard Young tableaux of shape, [423, 423],

     is , 1004718738154563673726499856092458502711434274037993415862096148981\

                                     /
    834495241632378374827504145983  /  9406343015748569066168481946460125988\
                                   /

    937000714840440092471913694850186729415881843326857614202998791,

    and in floating point, 0.0001068128960,

    and this happens with the pairs of cells,

    {[[1, 82], [2, 66]], [[1, 358], [2, 342]]}

The minimal sorting probability of Standard Young tableaux of shape, [424, 424],

     is , 4485813725565639557815985346042262566255687119252514152068321749281\

                                  /
    593305494434391070343297141  /  1341846364586101150665974600065638514826\
                                /

    9615855692496565580476026890423294459175240123905298435091,

    and in floating point, 0.0003343015895,

    and this happens with the pairs of cells,

    {[[1, 82], [2, 66]], [[1, 359], [2, 343]]}

The minimal sorting probability of Standard Young tableaux of shape, [425, 425],

     is , 1273747107671276653427420184414112098117518593132375059508721275850\
    018224552106239893089765897378366630840435215913620741799529970014743855\

              /
    6392907  /  374363616007566683773490502151953134378690621325178458547170\
            /
    730140813840951341556149093920190928113748009431186082372511036123408656\

    37151519502602265, and in floating point, 0.0003402432964,

    and this happens with the pairs of cells,

    {[[1, 181], [2, 160]], [[1, 266], [2, 245]]}

The minimal sorting probability of Standard Young tableaux of shape, [426, 426],

     is , 2444304330561787298742780337928790738008030831527718485533143392298\
    794510378522702782050268040491423221983717750102976897985618381736978210\

               /
    68854437  /  51574998440932851215205396988249214691047829844757804898752\
             /
    000452413216417090986714951199388495397807722340403266170141691647850970\

    64559353858050287385, and in floating point, 0.00004739320222,

    and this happens with the pairs of cells,

    {[[1, 180], [2, 159]], [[1, 268], [2, 247]]}

The minimal sorting probability of Standard Young tableaux of shape, [427, 427],

     is , 7982251425803101919929493715590525310484671673420091128796707395183\

                                                               /
    50625346445382170026716838620606648033338422015689449183  /  15462675360\
                                                             /
    408929103346006861150986198023773989273302737114372604279572174160136448\

    396140845380543293866185370592766985902484755, and in floating point,

    0.00005162270590, and this happens with the pairs of cells,

    {[[1, 147], [2, 127]], [[1, 301], [2, 281]]}

The minimal sorting probability of Standard Young tableaux of shape, [428, 428],

     is , 1224225926790681042816931718739893218520013282839891155986102894156\

                                         /
    8525436226219826890252206760577599  /  587875208831935999839914264119300\
                                       /

    08965216813071698821508090800448945420866899538915545629014515746361701,

    and in floating point, 0.0002082458842,

    and this happens with the pairs of cells,

    {[[1, 94], [2, 77]], [[1, 352], [2, 335]]}

The minimal sorting probability of Standard Young tableaux of shape, [429, 429],

     is ,

      2524677252731328295089355269862321247484748795153235870810365524871
    -----------------------------------------------------------------------,
    17328688764445561314264552184165202814278430253154168286105422921126957

    and in floating point, 0.0001456934963,

    and this happens with the pairs of cells,

    {[[1, 53], [2, 40]], [[1, 390], [2, 377]]}

The minimal sorting probability of Standard Young tableaux of shape, [430, 430],

     is ,

    1533807967128171667411608985264490921490973001429540586906221735044361/

    14885343648658737168953250326197909217465171587459430557764558289248056063,

    and in floating point, 0.0001030414885,

    and this happens with the pairs of cells,

    {[[1, 53], [2, 40]], [[1, 391], [2, 378]]}

The minimal sorting probability of Standard Young tableaux of shape, [431, 431],

     is , 2018746290947234673968872878412496839563016888139679992463551915412\

                                                                     /
    74374500960623971037800198390665245414017676090086868178457469  /  68144\
                                                                   /
    172786646003467958658874065649525461562426202918598045357465985061660198\

    1676727438535665154683896794051448741857164423303813895,

    and in floating point, 0.0002962463566,

    and this happens with the pairs of cells,

    {[[1, 146], [2, 126]], [[1, 306], [2, 286]]}

The minimal sorting probability of Standard Young tableaux of shape, [432, 432],

     is , 6600842539310658543120697845859000872673759913607384545552307804663\
    106215134335833372436681945658052890965824267100402795806080738460944305\

               /
    70673419  /  40183644946914619518646865853769380727078402738098641951714\
             /
    914712432262496165878842507020753346447499926782789629984835477949416465\

    37260196859061464435, and in floating point, 0.0001642668939,

    and this happens with the pairs of cells,

    {[[1, 176], [2, 155]], [[1, 278], [2, 257]]}

The minimal sorting probability of Standard Young tableaux of shape, [433, 433],

     is , 1325428762620648274888824656310732947322568440851638997804138108534\
    916649247166874106552674201453069978861456725480816927092061678335935059\

                 /
    2647666007  /  200918224734573097593234329268846903635392013690493209758\
               /
    574573562161312480829394212535103766732237499633913948149924177389747082\

    32686300984295307322175, and in floating point, 0.0006596856828,

    and this happens with the pairs of cells,

    {[[1, 175], [2, 154]], [[1, 280], [2, 259]]}

The minimal sorting probability of Standard Young tableaux of shape, [434, 434],

     is , 1154172539191641391085991965207160748349284018773959595336352935347\

                                                                        /
    37260855661607617458489822324131702932992449741203184112330175923  /  23\
                                                                      /
    114321956925460714531844800943045961105539660371393427909893899567551723\

    3236478253457118352545017132631266708939715625576949573328015,

    and in floating point, 0.0004993322068,

    and this happens with the pairs of cells,

    {[[1, 145], [2, 125]], [[1, 310], [2, 290]]}

The minimal sorting probability of Standard Young tableaux of shape, [435, 435],

     is , 1829810172765053577444075441142077035446765590036649597030886335467\
    310986372094331468136833325878784439226924500754365601931145586503239429\

              /
    7007279  /  549646899458721228166334209460061769649501257415767006363568\
            /
    149486134459282121078437249452079045677448166714682554321224652173164221\

    36276260179398959, and in floating point, 0.0003329064850,

    and this happens with the pairs of cells,

    {[[1, 174], [2, 153]], [[1, 283], [2, 262]]}

The minimal sorting probability of Standard Young tableaux of shape, [436, 436],

     is , 1040301844658901945722623287541057879137247437356279946299462803673\

                                                                  /
    22480410761281072133588441534583024125153914885864628634879  /  10900841\
                                                                /
    591169843598742690768812145789978583885054902196013509806158293602849889\

    43849299547129985132953744574764641190213209756621, and in floating point,

    0.00009543316779, and this happens with the pairs of cells,

    {[[1, 124], [2, 105]], [[1, 332], [2, 313]]}

The minimal sorting probability of Standard Young tableaux of shape, [437, 437],

     is , 2902796356580240291425507398149423750307921040599113556735443979482\
    566491185175394304743036107987540357192428095558051726194040638213730898\

           /
    7401  /  225222520738932609410651980173384700417434165870420824646232930\
         /
    193524174830346530280660747558078352355360502139355928132146449320269738\

    256125049545, and in floating point, 0.0001288857059,

    and this happens with the pairs of cells,

    {[[1, 173], [2, 152]], [[1, 286], [2, 265]]}

The minimal sorting probability of Standard Young tableaux of shape, [438, 438],

     is , 2942638372374366913957371252574927649830112244312767764237857583993\

                                                                    /
    0814701438915700372320552288412192735201690155991931306299383  /  518264\
                                                                  /
    338581518039795456946252506702507544695667842649889389154242288381332433\

    44527504457045389020465192838663068090462005871608315,

    and in floating point, 0.0005677871606,

    and this happens with the pairs of cells,

    {[[1, 144], [2, 124]], [[1, 315], [2, 295]]}

The minimal sorting probability of Standard Young tableaux of shape, [439, 439],

     is , 8528043194817115347992166074767430888095056452986373465192829155834\
    735383064319206375148450763323455148315104101928925443901822238449590958\

               /
    88747913  /  18604262841833323948897273684946580059387103396952198251442\
             /
    994190062882273563661245693137094470134644041737673273237680190409179669\

    184139740986879773325, and in floating point, 0.00004583918894,

    and this happens with the pairs of cells,

    {[[1, 172], [2, 151]], [[1, 289], [2, 268]]}

The minimal sorting probability of Standard Young tableaux of shape, [440, 440],

     is , 1197058920642781878006780345472404312908290498931132059827530363858\

                                                      /
    82294764955282850987354115407635856673776518427  /  16598916579562065806\
                                                    /
    282478980974401784138096454111845355254199755078850783313940981231576477\

    7639881026326808355658337, and in floating point, 0.0007211668996,

    and this happens with the pairs of cells,

    {[[1, 107], [2, 89]], [[1, 352], [2, 334]]}

The minimal sorting probability of Standard Young tableaux of shape, [441, 441],

     is , 4881577012796114886341244813079665851712547431972366918695138708329\
    304522804383804998786033654902288700347792389559731234524924731544188362\

              /
    6091029  /  594736304304678756174160417557612712557545432849377540307197\
            /
    098254136576283549955102901940895006180835087586559271360823090344822014\

    580488823844909505, and in floating point, 0.00008207968771,

    and this happens with the pairs of cells,

    {[[1, 171], [2, 150]], [[1, 292], [2, 271]]}

The minimal sorting probability of Standard Young tableaux of shape, [442, 442],

     is , 1600439919486487343373816909639586934269754457326432071939976951659\

                                                           /
    2526380255236057642040692375754959803492950929673817  /  377794537910750\
                                                         /
    341275452352861663240376060282675732440164974960705984159013026799548539\

    29335234797354725311756955194904373, and in floating point, 0.0004236270668,

    and this happens with the pairs of cells,

    {[[1, 107], [2, 89]], [[1, 354], [2, 336]]}

The minimal sorting probability of Standard Young tableaux of shape, [443, 443],

     is , 4763195274450970006602667659429385011626088411780668775639318576937\

                                                                     /
    57065467387876509997270061107286269764575838457660277384647363  /  66674\
                                                                   /
    244045914452779765659659865893891084435914590396434344750457624485635920\

    641105457919893960073261912428554812661600444323793068513,

                                          -5
    and in floating point, 0.7143980922 10  ,

    and this happens with the pairs of cells,

    {[[1, 143], [2, 123]], [[1, 321], [2, 301]]}

The minimal sorting probability of Standard Young tableaux of shape, [444, 444],

     is , 1727548565679611221319029210584110319812690502578784725845605139143\

                                              /
    558573176783267227463223212239151932223  /  5076379057535019513558868667\
                                            /
    877493080696437579474988763049352760209420188280975159545357173912860745\

    272270789, and in floating point, 0.0003403111836,

    and this happens with the pairs of cells,

    {[[1, 93], [2, 76]], [[1, 369], [2, 352]]}

The minimal sorting probability of Standard Young tableaux of shape, [445, 445],

     is , 6395222352409651735665768622089922372427500438264711922049714148012\

                                             /
    26959480926694357616898428319276451785  /  50763790575350195135588686678\
                                           /
    774930806964375794749887630493527602094201882809751595453571739128607452\

    72270789, and in floating point, 0.0001259800003,

    and this happens with the pairs of cells,

    {[[1, 93], [2, 76]], [[1, 370], [2, 353]]}

The minimal sorting probability of Standard Young tableaux of shape, [446, 446],

     is , 5902866172927137303965715707595517089219280114786884633476785617232\
    116102911591596038539003686224505799504452706134666183813152434296205988\

                                                                      /
    479728507557079070501392135002757644667850877337947342079235629  /  4692\
                                                                    /
    680647354870610294887999302367400243505672561179906184495798287362439409\
    356828788276592187379378252485705760411852130900787741587161902946630741\

    530390488381573776363199550814082607201970131875553766348501,

                                          -5
    and in floating point, 0.1257887893 10  ,

    and this happens with the pairs of cells,

    {[[1, 231], [2, 209]], [[1, 238], [2, 216]]}

The minimal sorting probability of Standard Young tableaux of shape, [447, 447],

     is , 5613680674875259709816698256911043243952174019838729833655451437907\
    325152767737062317955235169574314150084970817025419880784782208253689793\

                                                          /
    223503845099937646299492286290812838311962936866937  /  1003583980564794\
                                                        /
    054302409323764811765447759934895062351638242594818192387637438827079519\
    015685334804708911900286051587631261048523623248884433920257911489179390\

    60554815110445369469357803894532489, and in floating point,

    0.00005593633202, and this happens with the pairs of cells,

    {[[1, 224], [2, 202]], [[1, 246], [2, 224]]}

The minimal sorting probability of Standard Young tableaux of shape, [448, 448],

     is , 4030412056011869943482291549480407655312774410563268113920843238188\
    374782635698565297781960689764431695404620827929922267731542512688191197\

                                                         /
    91922612682984183878056965947327933837428412522991  /  59718871760800146\
                                                       /
    177722720155413117167915185679499541555272204723367564255116667568858258\
    250227693723287378878237315727429666265218329571397973394068772709569737\

    37521077872465571524755294709425, and in floating point, 0.00006748975554,

    and this happens with the pairs of cells,

    {[[1, 220], [2, 198]], [[1, 251], [2, 229]]}

The minimal sorting probability of Standard Young tableaux of shape, [449, 449],

     is , 1754195616415892641498686283978734421040012294094167506005659784874\
    956855571798239106566866175672586939318973911807230365082316549012235500\

                                                    /
    666713189812163446404013046162166613720441239  /  8427905157574623535316\
                                                  /
    542144614000743441532868957082291506623019590813276475887517920681110978\
    597306362310644204621284310233248688347844139795986941407553020419198149\

    943722299472222464905, and in floating point, 0.0002081413570,

    and this happens with the pairs of cells,

    {[[1, 217], [2, 195]], [[1, 255], [2, 233]]}

The minimal sorting probability of Standard Young tableaux of shape, [450, 450],

     is , 2988269113398013358462571534316160706865738636226903508566152747021\
    798127783128433012882424511145000848404537056364589033839058532925212667\

                                               /
    4123510777844119163733875879966363801309  /  494935267209785096347603464\
                                             /
    566938681471083234217114025090664203417050746560002390691679697394817229\
    641558607421460148142117579858748702003636514170712274926542429139289236\

                                                         -5
    8748831037895, and in floating point, 0.6037696869 10  ,

    and this happens with the pairs of cells,

    {[[1, 215], [2, 193]], [[1, 258], [2, 236]]}

The minimal sorting probability of Standard Young tableaux of shape, [451, 451],

     is , 1225179745443897929912371229485888866650736871233259933414673195422\
    464454523538211187948017562236965990702998085833406156333793243573734914\

                                                /
    29077110144160050257478690470851222451241  /  16970626096111068133281553\
                                              /
    664810262204349166608125893726054638317566609766816915640750780806463572\
    743821779104170707684792849281329038659884209934791356761509300526198875\

                                                           -5
    436731963739155, and in floating point, 0.7219413936 10  ,

    and this happens with the pairs of cells,

    {[[1, 213], [2, 191]], [[1, 261], [2, 239]]}

The minimal sorting probability of Standard Young tableaux of shape, [452, 452],

     is , 5336361347830959488431784588578036159782264773741933043107512250435\
    242275702915218256145203511418375101520323318176069580273403378247352190\

                                             /
    85291336839359250796996141739121419807  /  26263751532653645281920476856\
                                           /
    529494727031721753983478582244294487966325040013797851187503777815317159\
    281809544436280508840018649453875856060609891821244735136594426326517622\

    11349015, and in floating point, 0.0002031835148,

    and this happens with the pairs of cells,

    {[[1, 211], [2, 189]], [[1, 264], [2, 242]]}

The minimal sorting probability of Standard Young tableaux of shape, [453, 453],

     is , 5049600280717920618487445136756142488849899512424766962745888619525\

                                                                           /
    01385668482927709912148851889098973116159187550059163273007091918199  /
                                                                         /
    946176145405266581697573291156998957461461026564302297720680616046499552\

    3768753254101967095177907153780117709881941724581315425764279579475,

    and in floating point, 0.00005336850126,

    and this happens with the pairs of cells,

    {[[1, 166], [2, 145]], [[1, 309], [2, 288]]}

The minimal sorting probability of Standard Young tableaux of shape, [454, 454],

     is , 2790783290559281893325485223880483956919570716538395191230745396985\
    223047222095765259520733202282386396265318515475249816874282321356839812\

                                                /
    54899635408794006393187290653720149855673  /  16934150955404312823852260\
                                              /
    983247591394377152344662933806476008530578396822913109803717459183575388\
    514873395191124353311642645896625860725160220437595398584886445410294005\

    52113506060085, and in floating point, 0.0001648020794,

    and this happens with the pairs of cells,

    {[[1, 208], [2, 186]], [[1, 269], [2, 247]]}

The minimal sorting probability of Standard Young tableaux of shape, [455, 455],

     is , 6597044601915146613662305616829580849875718759116843829118534367894\

                     /
    84214875465733  /  69908464911358030245833324342340100635235750323267929\
                   /

    19836626858486978145289241129645, and in floating point, 0.00009436689263,

    and this happens with the pairs of cells,

    {[[1, 61], [2, 47]], [[1, 409], [2, 395]]}

The minimal sorting probability of Standard Young tableaux of shape, [456, 456],

     is , 2163160041107489227306560197866915598569741230951294843218372760312\
    542811752665043975501107828266529717575251595577864679156053304160073331

       /
      /  7546111055345674545376601653565197557372661587261670609428713081226\
     /
    813847780470985539416101029775216812825564915907054175765125604145200833\

    275, and in floating point, 0.0002866589194,

    and this happens with the pairs of cells,

    {[[1, 165], [2, 144]], [[1, 313], [2, 292]]}

The minimal sorting probability of Standard Young tableaux of shape, [457, 457],

     is , 1116009790698443042200728113273850274286160400125506163235710539599\
    047974533418978029356356583707712299891963617485405662624814913182517613\

                                           /
    258188333190735262949089548760061423  /  2443429412750900242667703289652\
                                         /
    295692628976462651983231786394867502032297127311653973089050418131975021\
    400366481250559836836377424488308507653284438541552376859983396523243637\

    971, and in floating point, 0.0004567391163,

    and this happens with the pairs of cells,

    {[[1, 204], [2, 182]], [[1, 276], [2, 254]]}

The minimal sorting probability of Standard Young tableaux of shape, [458, 458],

     is , 1194684794672403875994068408373687658690821602131399499572200496686\

                                                                     /
    51498181127903454852124671469192029669678594039563862746802821  /  78356\
                                                                   /
    128476817820391285525479436449535139407068772796522093364453334846565975\

    6026790469047707537817468861643048712140435058499279947,

    and in floating point, 0.0001524685839,

    and this happens with the pairs of cells,

    {[[1, 140], [2, 120]], [[1, 339], [2, 319]]}

The minimal sorting probability of Standard Young tableaux of shape, [459, 459],

     is , 2243525323454168363630019956467939388724946298709235552739357502644\
    881552529612315899575300597108281299980520439022624320142047004587708785\

                                 /
    20660026833343762160545801  /  80499471882557871040533299751267961041660\
                               /
    840936806696314815950149577684845520376253501507025328553863488710888993\

    7153469315803047816396277706702928710547165261509010890,

    and in floating point, 0.0002787006264,

    and this happens with the pairs of cells,

    {[[1, 202], [2, 180]], [[1, 280], [2, 258]]}

The minimal sorting probability of Standard Young tableaux of shape, [460, 460],

     is , 4475100686839617951371486683698077360646287917272396020792565981669\

                                                                        /
    03091138254476795348477931271437011839015547400808531739119471939  /  28\
                                                                      /
    046302138210610436219931278652122372605774184321547269142980234589686413\

    12495314211386424373906635215071281629568266242892426256403339,

    and in floating point, 0.0001595611666,

    and this happens with the pairs of cells,

    {[[1, 121], [2, 102]], [[1, 359], [2, 340]]}

The minimal sorting probability of Standard Young tableaux of shape, [461, 461],

     is , 2235396798483821128278319612668840129939897440854858891692858749658\
    472694041973870946404144740022404095267133455829155801405399797428838977\

                                      /
    1418256713039264517746280643393  /  589943669605046842864224269096404776\
                                    /
    587376410182824311643785845164078043358255475627979814416858440101933619\

    84869239421582232038048788135786998202784928674333321368675721169,

    and in floating point, 0.0003789169905,

    and this happens with the pairs of cells,

    {[[1, 200], [2, 178]], [[1, 284], [2, 262]]}

The minimal sorting probability of Standard Young tableaux of shape, [462, 462],

     is , 7648663279261021690656239699185712243481937708367290580989162064688\

                                                                          /
    3809570580496599706983426723173030447952275195774838294596019036521  /
                                                                        /
    262201636009338564677340920376110606864392225912834117626270780532568973\

    034521216856621541222801061159347345116229676129224761946035249275,

    and in floating point, 0.0002917092126,

    and this happens with the pairs of cells,

    {[[1, 163], [2, 142]], [[1, 321], [2, 300]]}

The minimal sorting probability of Standard Young tableaux of shape, [463, 463],

     is , 8929515223547684350109545010107074447359409812191000005603915078032\

                                            /
    3477541679329129072546910049091425345  /  559346792961081295433682595951\
                                          /
    243144132787511081555815305138600449687295938935775553136221887449937198\

    133457, and in floating point, 0.0001596418418,

    and this happens with the pairs of cells,

    {[[1, 92], [2, 75]], [[1, 389], [2, 372]]}

The minimal sorting probability of Standard Young tableaux of shape, [464, 464],

     is , 1898182344805682354887431997152483009278070367226663363645088089440\

                                              /
    813611280090498015196349454097671524505  /  7328839517233826014151444368\
                                            /
    238955834622896547955575603689273304972184005002797132773089708856456404\

    471207227, and in floating point, 0.0002590017615,

    and this happens with the pairs of cells,

    {[[1, 92], [2, 75]], [[1, 390], [2, 373]]}

The minimal sorting probability of Standard Young tableaux of shape, [465, 465],

     is , 1305368088159473640243540659434561726006112195622470552642493982862\

                                                                            /
    557754023192072422509466149694604286367700719377984304438971181448316  /
                                                                          /
    188041660930855247274727805487669417565445030561849521702588747005786605\

    12756248094094223636734420968805402836874431297983972118701560308961,

    and in floating point, 0.00006941908946,

    and this happens with the pairs of cells,

    {[[1, 162], [2, 141]], [[1, 325], [2, 304]]}

The minimal sorting probability of Standard Young tableaux of shape, [466, 466],

     is , 2478340033968182465816460338071832241311734679829250442083091389160\

                              /
    97795985329333184570909  /  23266847048994487813139871786533764697464825\
                            /

    41686147619123482586014252279624255344235454623805, and in floating point,

    0.0001065180868, and this happens with the pairs of cells,

    {[[1, 70], [2, 55]], [[1, 412], [2, 397]]}

The minimal sorting probability of Standard Young tableaux of shape, [467, 467],

     is , 1925275491341393131733934238504981981884056787003422875724907932920\

                                               /
    0557579457420619569025279932551677959679  /  105346641659761207956091179\
                                             /
    711820459072056777662510949777155356090135449331560415585343083109468514\

    664416803735, and in floating point, 0.0001827562285,

    and this happens with the pairs of cells,

    {[[1, 105], [2, 87]], [[1, 381], [2, 363]]}

The minimal sorting probability of Standard Young tableaux of shape, [468, 468],

     is , 5098802097742815884741909866977424087059985744518595222359811661527\

                                                                          /
    5338686038794148767087648490459624400779471724416024717883121595281  /
                                                                        /
    170486938146811999895261231325821317647249140171654859540665076746479421\

    838842029809287785084799665589754561073929097045317942626999327534,

    and in floating point, 0.0002990728881,

    and this happens with the pairs of cells,

    {[[1, 161], [2, 140]], [[1, 329], [2, 308]]}

The minimal sorting probability of Standard Young tableaux of shape, [469, 469],

     is , 2532589383353859132251194298217957184860785905386757298236951082830\

                                                                 /
    6858920788460366016905758889192511199645428163579766131173  /  266447290\
                                                               /
    297196164951698493765866632581245180175528328264880551425314913032019946\

    0987933884178628409990571285557271580248357030553, and in floating point,

                   -5
    0.9505029608 10  , and this happens with the pairs of cells,

    {[[1, 120], [2, 101]], [[1, 369], [2, 350]]}

The minimal sorting probability of Standard Young tableaux of shape, [470, 470],

     is , 3717362168687754039959628944862797256729586165982276079332629618430\

                                                                             /
    8740947373381843771883938537249922490591739637467496107922434769592741  /
                                                                           /
    858719757131856600650642992668107726981804878631136115545898702461831981\

    54251943028288467780569908267027718847745743033678002494661275275012,

    and in floating point, 0.0004328958473,

    and this happens with the pairs of cells,

    {[[1, 138], [2, 118]], [[1, 353], [2, 333]]}

The minimal sorting probability of Standard Young tableaux of shape, [471, 471],

           2868826330568925018545777564538940120787991950133876343
     is , ----------------------------------------------------------,
          9576231428097054465133139801080891493530496871272653331565

    and in floating point, 0.0002995777986,

    and this happens with the pairs of cells,

    {[[1, 45], [2, 33]], [[1, 439], [2, 427]]}

The minimal sorting probability of Standard Young tableaux of shape, [472, 472],

     is , 1084459024853932664041804641378819659017184301737784445165369905345\
    609177850061233715125720097856126105367145799985255011290206603332601798\

                          /
    7866821195358179773  /  351186675120683103583121097494469464591498354212\
                        /
    045184214356869954762176259289179996384545765385131636611684750568133268\

    958438402226873189739586088709710377900525, and in floating point,

    0.00003087984544, and this happens with the pairs of cells,

    {[[1, 192], [2, 170]], [[1, 303], [2, 281]]}

The minimal sorting probability of Standard Young tableaux of shape, [473, 473],

            1200518910770820371950807928253437263047265584569799421
     is , -----------------------------------------------------------,
          33477592371493425699032085901768269219751066873138575868725

    and in floating point, 0.00003586037184,

    and this happens with the pairs of cells,

    {[[1, 45], [2, 33]], [[1, 441], [2, 429]]}

The minimal sorting probability of Standard Young tableaux of shape, [474, 474],

            28526919003837634262695601585993442040986378296354831743
     is , ------------------------------------------------------------,
          140903466559130107275481712662109115338241157017165472656367

    and in floating point, 0.0002024571836,

    and this happens with the pairs of cells,

    {[[1, 45], [2, 33]], [[1, 442], [2, 430]]}

The minimal sorting probability of Standard Young tableaux of shape, [475, 475],

     is , 5280217785676902085977940944565535171058965639992474132946359647992\

                                     /
    142334202476842758456432917621  /  9315161903084141582428949223728280409\
                                   /

    2243576812762269430485819056896940450813038323270205765956318759,

    and in floating point, 0.00005668412252,

    and this happens with the pairs of cells,

    {[[1, 80], [2, 64]], [[1, 412], [2, 396]]}

The minimal sorting probability of Standard Young tableaux of shape, [476, 476],

     is , 1386987194556932378140875374801683188392490219929683195397288075844\
    647213339497214784131548098654055217027717985059563618003280176075126653\

        /
    7  /  949901166265129623699612768937692752800214813157136246342560165896\
      /
    688417477509845779295557279727901363994069311218128592227925659188790876\

    80594, and in floating point, 0.0001460138427,

    and this happens with the pairs of cells,

    {[[1, 137], [2, 117]], [[1, 360], [2, 340]]}

The minimal sorting probability of Standard Young tableaux of shape, [477, 477],

     is , 3794196943333975228112019957980814205127475246138990331552859766662\
    979896932457426894756052589127359594189522210783069809082207609965191517\

                             /
    3164398755196637492429  /  230943192244224955872099129131714634833253135\
                           /
    552299089698010557871402533096383894423169801356351770553152462157896135\

    530232582373181035270027698673931503865333348175, and in floating point,

    0.0001642913526, and this happens with the pairs of cells,

    {[[1, 189], [2, 167]], [[1, 311], [2, 289]]}

The minimal sorting probability of Standard Young tableaux of shape, [478, 478],

     is , 3567785826726159087614159917851366285829068386934872386374751115805\

                                                                      /
    087526358943638784215195852910207885354667555423952838438041525  /  6187\
                                                                    /
    943854173202137480729650208113529681285262145587650780662557668913497215\

    449502492928170754016167691056586800463164395254089556483,

    and in floating point, 0.0005765704911,

    and this happens with the pairs of cells,

    {[[1, 119], [2, 100]], [[1, 379], [2, 360]]}

The minimal sorting probability of Standard Young tableaux of shape, [479, 479],

     is , 1856469943242580069970064380180608077101900301790987134388967656504\

                                                                  /
    65103397011617323563540996728374587921255245968994828641015  /  65629364\
                                                                /
    653118846500728215578405914625592390228658904243367302114763738953021993\

    04110555423759882560912871338814812996652246227449, and in floating point,

    0.00002828718445, and this happens with the pairs of cells,

    {[[1, 119], [2, 100]], [[1, 380], [2, 361]]}

The minimal sorting probability of Standard Young tableaux of shape, [480, 480],

     is , 1917810089802738202691731406450425982737060832493999799947775704437\

                                                                          /
    2021838289683279375543780031738236062891059514619965473389332316345  /
                                                                        /
    890417458306149687142455939317192541882160953699406152923608409616017063\

    10882254972998606886118608641578877250175291712789267297631491233,

    and in floating point, 0.0002153832533,

    and this happens with the pairs of cells,

    {[[1, 158], [2, 137]], [[1, 344], [2, 323]]}

The minimal sorting probability of Standard Young tableaux of shape, [481, 481],

     is , 4998880141155983885045839030271446231954710107511325867155362182734\
    582864743195217235694294846423387081962053464207431957018309432505393106\

                             /
    6014746174283326826821  /  193137186128033327097874674323789695572927984\
                           /
    307886991537377031000669274973299657177042691947761172064590985879281411\

    4042749312616013235747092994755139746977687559075, and in floating point,

    0.00002588253584, and this happens with the pairs of cells,

    {[[1, 187], [2, 165]], [[1, 317], [2, 295]]}

The minimal sorting probability of Standard Young tableaux of shape, [482, 482],

     is , 1637323115550793815913691328323347484161471577095604226644020997647\

                                                  /
    3049072441926976055271159812226069678567237  /  761120335426471881272954\
                                                /
    408967036775587333296794258259777141630554618903460786780927852078541834\

    19671588129492967, and in floating point, 0.0002151201380,

    and this happens with the pairs of cells,

    {[[1, 104], [2, 86]], [[1, 397], [2, 379]]}

The minimal sorting probability of Standard Young tableaux of shape, [483, 483],

     is , 3962422394615975814089426906072099965019513562462095567386616502165\
    407109681320066667020622312289663702631502241144255797008010342953618452\

                       /
    7993330797995974  /  373643695851908998935145752616417183577715953347743\
                     /
    311651467091670051355908059542379518643696109479542108564374541529315467\

    833514554415388014465427421691378725, and in floating point,

    0.0001060481533, and this happens with the pairs of cells,

    {[[1, 186], [2, 164]], [[1, 320], [2, 298]]}

The minimal sorting probability of Standard Young tableaux of shape, [484, 484],

     is , 1340097694549444363536951443683378624733347096287374519109724578806\
    536580490610563982019861457361126726884730351902021032362656451332628337

       /
      /  6319024324228646633429189970698488027330271511573722478407513288844\
     /
    072253163912002910728268370828354194408054575574246612336924851290974910\

    3957, and in floating point, 0.00002120735142,

    and this happens with the pairs of cells,

    {[[1, 157], [2, 136]], [[1, 349], [2, 328]]}

The minimal sorting probability of Standard Young tableaux of shape, [485, 485],

     is , 2077472012938783669223349478053256658008130364217843938193746014618\

                                                    /
    154891321301778325209414100985484360210772671  /  4022373215075858328439\
                                                  /
    050967550866153029692085642817472452837333340277765438348081993013521832\

    9922715428613950739539, and in floating point, 0.00005164791783,

    and this happens with the pairs of cells,

    {[[1, 91], [2, 74]], [[1, 412], [2, 395]]}

The minimal sorting probability of Standard Young tableaux of shape, [486, 486],

     is , 1063246845983337692618943406933187797740449280545386953248779035406\
    100916028234395317829473749163656985937380197403607228189570758776070912\
    288328894785866037055756920436554418606849949227149590507771232230579401\

                /
    067533473  /  2560931759128645477807947614589523199067528313643927604167\
              /
    426584738099175779592437403535778243048279534867410043145341278731069196\
    408222672161225699046074276386376834846118839670329726652106088374283237\

    1818864038112214593535, and in floating point, 0.00004151796869,

    and this happens with the pairs of cells,

    {[[1, 248], [2, 225]], [[1, 262], [2, 239]]}

The minimal sorting probability of Standard Young tableaux of shape, [487, 487],

     is , 2360573051389164087424335931206520113283779849331469885146072271877\
    022585891767467152229034217929111859763020818676840010381252924986210887\
    276413493438002155409836063795813330121600684497408801161943013726380549

       /
      /  1322906161761798109793547821093829062021271311185143733814631507637\
     /
    122634680711092118382128759171922815947947736924158515957213947560041296\
    494748603251113921781310100608709885807590609470857157891550596335464674\

    7295, and in floating point, 0.0001784384350,

    and this happens with the pairs of cells,

    {[[1, 243], [2, 220]], [[1, 268], [2, 245]]}

The minimal sorting probability of Standard Young tableaux of shape, [488, 488],

     is , 4829621674857509208506451543517008385410821829961710589922882583451\
    770626792046127423200504071988732571995833222717893662918532989026221433\

                                                                      /
    970312134013156579549151287105730726781112962598511894085889149  /  2129\
                                                                    /
    276631725193424321431597497141836258795026923166405331725551592009692912\
    231539567793595207427927637058644600186640665071380196879651276044237465\

    36242496562901204114561739122615082619436709448231165660295,

    and in floating point, 0.00002268198318,

    and this happens with the pairs of cells,

    {[[1, 239], [2, 216]], [[1, 273], [2, 250]]}

The minimal sorting probability of Standard Young tableaux of shape, [489, 489],

     is , 1359023843105911526334133054720378236395660703256851918015288165430\
    192144474825026160892035786198242954988764068458856922470096960818142446\

                                                                     /
    94939404095629633175944086655778398639058532701060197506896017  /  13253\
                                                                   /
    396820148204611137350390907800002799861766068648227589078794800592069008\
    503403452110366182650572232006005230300335733933380086350228562050437323\

    20143094192171649544286600844624301938038567289144039421,

    and in floating point, 0.0001025415493,

    and this happens with the pairs of cells,

    {[[1, 236], [2, 213]], [[1, 277], [2, 254]]}

The minimal sorting probability of Standard Young tableaux of shape, [490, 490],

     is , 9674559180385190283194550771411624197179015448709350701082165199845\
    578085873648181714067053459626401778237960679630220191184353170914554946\

        /
    6  /  864276925414810924811395009757921199708526232941036588467925789730\
      /
    864852626867604418124810781862948265478894334191295985684049563790762458\

    1822725, and in floating point, 0.00001119381867,

    and this happens with the pairs of cells,

    {[[1, 135], [2, 115]], [[1, 376], [2, 356]]}

The minimal sorting probability of Standard Young tableaux of shape, [491, 491],

     is , 3986174186806213473647619537878463252108336618813577718605545813144\
    816166137619984395264950975948187870233751352474551085664596267011690191\

                                                              /
    3711368510774984846548002165975922948554734215207672661  /  256773201657\
                                                            /
    647866530781926468808492407474214247613754215190168637780815731782651556\
    645728440016124948496379664967606060091061572369198789535538005959397782\

    321736362118437467027800229017486378047830, and in floating point,

    0.0001552410517, and this happens with the pairs of cells,

    {[[1, 232], [2, 209]], [[1, 283], [2, 260]]}

The minimal sorting probability of Standard Young tableaux of shape, [492, 492],

     is , 1016961637291778491325888305093646767120213896945167320641275190990\
    060639973009052041189076725213839840359766787816188854197214875574228406\

                                                       /
    512237698321472921779109340626243112744036067123  /  6492629947849621215\
                                                     /
    308327325210185922159448781640428321297821338563934518172274566653221891\
    347150932190974648793337295285482182482969203863118312334428669177734445\

    7540858448143008586732712595, and in floating point, 0.00001566332358,

    and this happens with the pairs of cells,

    {[[1, 230], [2, 207]], [[1, 286], [2, 263]]}

The minimal sorting probability of Standard Young tableaux of shape, [493, 493],

     is , 7252268106001282587600413826295024227213358201593560881578513054511\
    121275712236410874851913423903432899420671974759773470523888859172689417

       /
      /  5050445619483330096842231549766215501606749163500419218580987020993\
     /
    588758979616716623331437413943237735284786062189232074916131708065252501\

    2575, and in floating point, 0.0001435965982,

    and this happens with the pairs of cells,

    {[[1, 155], [2, 134]], [[1, 360], [2, 339]]}

The minimal sorting probability of Standard Young tableaux of shape, [494, 494],

     is , 2691654336189748833796660234866352451528589511737264976050905844408\
    931641908135987141617209433668769146073216091760136536150401288818116973\

                                                             /
    297821957166150903639275634802917603966961024750025059  /  1604975274277\
                                                           /
    619803477315424387652248343023322718673247414979917500661444085011692438\
    787600468429991867253767159802449607075741700372754093215227157157778628\

    6951165015436971422594943194548102002926, and in floating point,

    0.0001677069036, and this happens with the pairs of cells,

    {[[1, 227], [2, 204]], [[1, 291], [2, 268]]}

The minimal sorting probability of Standard Young tableaux of shape, [495, 495],

     is , 1713756906127590558174332365466846520876201969681603924937680072360\
    675822058260966488176046280110938055188254089347656027318172929590135437\

              /
    7920289  /  230624253719734390629753469194012621229909083636774806452731\
            /
    772511498789188741336977646307543553656083848758045556271932540571594227\

    947004377189528501, and in floating point, 0.00007430948300,

    and this happens with the pairs of cells,

    {[[1, 181], [2, 159]], [[1, 337], [2, 315]]}

The minimal sorting probability of Standard Young tableaux of shape, [496, 496],

     is , 1278943031382606305172964390466096721285881371767956310239574574765\
    249306023262360479172963997845628164915576822552682358740085509767819866\

                                                                /
    883646912035750016817871601375756886879940279920195399493  /  1031160979\
                                                              /
    281224240168378594551295973373706360883099278310318758186059954257921854\
    938714133043407023993363581506586044510876379945204850349604522009149779\

    5678125294233674572145868436727559443545272430, and in floating point,

    0.0001240294248, and this happens with the pairs of cells,

    {[[1, 224], [2, 201]], [[1, 296], [2, 273]]}

The minimal sorting probability of Standard Young tableaux of shape, [497, 497],

     is , 1922404804131835022722188309754362272230347984296631782996294640273\
    152226838054503952190101788235969776557017623496794577020470023169904522\

                                                          /
    681429490193860826032626344082771602260704272651759  /  1586894664620734\
                                                        /
    813231771403653590767244137964233653040345336178606366831319766842832255\
    767243677302782347100955352347207711288654635518037304703937454069676749\

    5889851422399185390593272923960285, and in floating point, 0.0001211425589,

    and this happens with the pairs of cells,

    {[[1, 223], [2, 200]], [[1, 298], [2, 275]]}

The minimal sorting probability of Standard Young tableaux of shape, [498, 498],

     is , 4767055855211337755686557129030290821454045858148713951689472446586\
    504205977348488306432101391966245059587960160484618293198684602832737194\

              /
    7067987  /  637818765225548637382121219485951144663694725937694278314883\
            /
    494784097521946123481049077034918080798668442316980040513329639691106461\

    292735864621265400, and in floating point, 0.00007473997498,

    and this happens with the pairs of cells,

    {[[1, 134], [2, 114]], [[1, 385], [2, 365]]}

The minimal sorting probability of Standard Young tableaux of shape, [499, 499],

     is , 1271592396359448912409882648467543750074498037471705417911681931646\

                                                       /
    789988477455155229123309318957001105787731222141  /  3996618982577919961\
                                                     /
    715477014014251148082535342294397402341842001147356701046123513437913489\

    683022038942752035340163671, and in floating point, 0.0003181670312,

    and this happens with the pairs of cells,

    {[[1, 103], [2, 85]], [[1, 415], [2, 397]]}

The minimal sorting probability of Standard Young tableaux of shape, [500, 500],

     is , 3087599600228502523769260068350678104552507125092060824154191923845\
    721026164583810264917260191273190607548137229436413448411156121626513963\

                                                     /
    1862127433095437844693596322492776155075643037  /  618302402616627353090\
                                                   /
    521087876835292678440402600102684725780360243101239332509598519194980028\
    425947635493370364171253216611294082626175570504515938038678706624365148\

    66513423703593900654743, and in floating point, 0.0004993672331,

    and this happens with the pairs of cells,

    {[[1, 220], [2, 197]], [[1, 304], [2, 281]]}

The minimal sorting probability of Standard Young tableaux of shape, [501, 501],

     is , 8799756789762988011042604614547053737459340035383091180204125365510\
    280831271332311083752515355206670811789226645936401098763178263833433274\

           /
    9169  /  350391146143904933731313732234327243995220484560261971552510295\
         /
    514910444335764009801203405826281350222182379989859306749505562735831315\

    263856545749, and in floating point, 0.0002511409574,

    and this happens with the pairs of cells,

    {[[1, 179], [2, 157]], [[1, 345], [2, 323]]}

The minimal sorting probability of Standard Young tableaux of shape, [502, 502],

     is , 2867621641129377274570711654602446336673242673555744300272317100070\

                                                              /
    9902580251808244723705470150422847363020574065259192893  /  617285288010\
                                                            /
    022424488760795364568762169425828351247704325465596324023988413955545266\

    383930518959656402365974188637349192771642, and in floating point,

    0.00004645536994, and this happens with the pairs of cells,

    {[[1, 117], [2, 98]], [[1, 405], [2, 386]]}

The minimal sorting probability of Standard Young tableaux of shape, [503, 503],

     is , 4118827797396349737309647766179575157075084631261072269746374298147\
    629837655625746991727190598294875377641459673731999532873305174913153153\

                                                     /
    5457286847465224857423863975002486972899462319  /  117805017813213137723\
                                                   /
    938890789595557570956217911762240981748414402943159876695754386383140348\
    217153477960937402235210345731803645482670992166787864919862442801247829\

    102804822096596683081541, and in floating point, 0.0003496309303,

    and this happens with the pairs of cells,

    {[[1, 217], [2, 194]], [[1, 310], [2, 287]]}

The minimal sorting probability of Standard Young tableaux of shape, [504, 504],

     is , 1679577759108395990788583234354618154706613247385804365339508512765\
    271010331532008462960410094596000854563837450974038314795503444316745411\

                                               /
    1690602037435317144993304697868123511143  /  912831185054793788548632270\
                                             /
    536726969881776488405579198732229234869620326262776123634409947950050218\
    903253991449625064329245297011865687743413834420559851960285381872261030\

    87490209902, and in floating point, 0.0001839965359,

    and this happens with the pairs of cells,

    {[[1, 216], [2, 193]], [[1, 312], [2, 289]]}

The minimal sorting probability of Standard Young tableaux of shape, [505, 505],

     is , 1641630731965496816682769657031155425143992094173219855604279683620\
    779653338298990531733299304878596152395919156512103129183283829803615822\

                                                /
    73883812711418944212481813497157631179079  /  42108758098847618733147889\
                                              /
    520872004068782911865520742549698100087739137221637782764567652814476306\
    645393427319421568766263527774844057727797199875254517210730057396208454\

    73244225134319, and in floating point, 0.00003898549390,

    and this happens with the pairs of cells,

    {[[1, 215], [2, 192]], [[1, 314], [2, 291]]}

The minimal sorting probability of Standard Young tableaux of shape, [506, 506],

     is , 2593533058764566377575994301168366931726309033388576691481473567493\
    488861735110464337134781130120982083744328188883955560708671277093177569\

              /
    9126333  /  127114892965683367864778867079799908904994413702536830033257\
            /
    530262885788013143550384920902142951559046193381535907906065869728306451\

    399398644297799056, and in floating point, 0.0002040306213,

    and this happens with the pairs of cells,

    {[[1, 133], [2, 113]], [[1, 394], [2, 374]]}

The minimal sorting probability of Standard Young tableaux of shape, [507, 507],

     is , 4772280376220455687140686117975795514946864193663478689912714318250\
    057363078842779507030023947856692468119098456485857381267695840101171606

       /
      /  7234898022404018211791690200265720455076707263235243830655436483479\
     /
    604328690665604116902837787561634852456507996075550779292146991762420470\

    6361, and in floating point, 0.00006596195774,

    and this happens with the pairs of cells,

    {[[1, 177], [2, 155]], [[1, 353], [2, 331]]}

The minimal sorting probability of Standard Young tableaux of shape, [508, 508],

     is , 2766715651772672915859766109048412730245289892157473008589764115813\

                                    /
    72929721003119504665794111329  /  11741826036365048784665999350949293610\
                                  /

    42958335311542768564006105800348034205697349346810551005333921,

    and in floating point, 0.0002356290787,

    and this happens with the pairs of cells,

    {[[1, 79], [2, 63]], [[1, 446], [2, 430]]}

The minimal sorting probability of Standard Young tableaux of shape, [509, 509],

     is , 8452460200645579725961847670747159215407752365245448174865809009959\

                              /
    15117684755830529959651  /  18340585177309084182793144985160015636165607\
                            /

    149396959881351526933355430783738107017178903031901, and in floating point,

    0.00004608609877, and this happens with the pairs of cells,

    {[[1, 79], [2, 63]], [[1, 447], [2, 431]]}

The minimal sorting probability of Standard Young tableaux of shape, [510, 510],

     is , 2742040476512527211207394964926845465000897064183819731802986349263\

                                              /
    985928776864055252637905116466795888844  /  4911203369326095100153783798\
                                            /
    662779688395751197210579433394841921679825865440888962020353380330356258\

    6883421329, and in floating point, 0.00005583235452,

    and this happens with the pairs of cells,

    {[[1, 90], [2, 73]], [[1, 438], [2, 421]]}

The minimal sorting probability of Standard Young tableaux of shape, [511, 511],

     is , 5219723545301162460642868148025286868225718458703799560962104212512\

                                             /
    20962554104163031799522299119876448677  /  13575381433473057089793467954\
                                           /
    719381817289065090158923576620011376221951454138526762386714679907122235\

    48419557, and in floating point, 0.0003844992180,

    and this happens with the pairs of cells,

    {[[1, 90], [2, 73]], [[1, 439], [2, 422]]}

The minimal sorting probability of Standard Young tableaux of shape, [512, 512],

     is , 1644804981796308918800492727212970222215320420578515387194129889392\
    702274685031871227413641737618710093568335536827018227230375242990841230\

                                              /
    339848848422588753326725774945104092329  /  8367510050486805436198063406\
                                            /
    851548539901260687995705210488823754371832745372304806859757206027036034\
    643168860865280225646640940620187784594810755957383690592663724489020325\

    511777529, and in floating point, 0.0001965704220,

    and this happens with the pairs of cells,

    {[[1, 210], [2, 187]], [[1, 326], [2, 303]]}

The minimal sorting probability of Standard Young tableaux of shape, [513, 513],

     is , 1732512974775503062514344557621448340100532393927473877263116566746\

                         /
    036588835140295781  /  1136866027700507698644668174000660363473279019792\
                       /

    6267049464851528676572020584520175884139, and in floating point,

    0.0001523937678, and this happens with the pairs of cells,

    {[[1, 69], [2, 54]], [[1, 460], [2, 445]]}

The minimal sorting probability of Standard Young tableaux of shape, [514, 514],

     is , 5107828376349679264244011244684528967061524887547799246646126013988\

                      /
    485111228761359  /  6281027777350871263230210906080996483277784639738269\
                    /

    0881021279163958961439693481634719, and in floating point, 0.00008132153777,

    and this happens with the pairs of cells,

    {[[1, 69], [2, 54]], [[1, 461], [2, 446]]}

The minimal sorting probability of Standard Young tableaux of shape, [515, 515],

     is , 1566351898459324159133751865741261288379308210609706853429215555935\
    156115015270479296828735575140522296597001012276118771079587108242942133\

                                           /
    321018234609091056680035379481951893  /  6637771740763360573213984305478\
                                         /
    170747450336402258716350699340000078443760092435876372472864943322931849\
    541320631524701829535581189790106837728331078069219876613677638643400735\

    7893, and in floating point, 0.00002359755592,

    and this happens with the pairs of cells,

    {[[1, 208], [2, 185]], [[1, 331], [2, 308]]}

The minimal sorting probability of Standard Young tableaux of shape, [516, 516],

            20523707705657591451209863958775912103526934004432702372367861257
     is , ---------------------------------------------------------------------,
          245344110408060194117197994382389809170325179865372185864048182184553

    and in floating point, 0.00008365274256,

    and this happens with the pairs of cells,

    {[[1, 52], [2, 39]], [[1, 478], [2, 465]]}

The minimal sorting probability of Standard Young tableaux of shape, [517, 517],

     is , 5315354734213413966618275383118539471161103444431429887461992843689\

                                                        /
    7889138769269774417950107572634092523684454395543  /  206271250705641434\
                                                      /
    636364990407670414666460612533859088335314269899042712153111282181973050\

    4685485100707434206863743512521, and in floating point, 0.00002576876184,

    and this happens with the pairs of cells,

    {[[1, 102], [2, 84]], [[1, 434], [2, 416]]}

The minimal sorting probability of Standard Young tableaux of shape, [518, 518],

     is , 7185255999214482527372952311156851983036694239182852842879704017278\

                                                         /
    71590668975992982673889595180480407601578632042281  /  20627125070564143\
                                                       /
    463636499040767041466646061253385908833531426989904271215311128218197305\

    04685485100707434206863743512521, and in floating point, 0.0003483401577,

    and this happens with the pairs of cells,

    {[[1, 102], [2, 84]], [[1, 435], [2, 417]]}

The minimal sorting probability of Standard Young tableaux of shape, [519, 519],

     is , 4121069843619823232678034544551204095209885647502738689446245305858\

                    /
    9799280155609  /  169194163952812622915246518220182211725487912714379136\
                  /

    174722430741047223984199525351, and in floating point, 0.0002435704487,

    and this happens with the pairs of cells,

    {[[1, 60], [2, 46]], [[1, 474], [2, 460]]}

The minimal sorting probability of Standard Young tableaux of shape, [520, 520],

     is , 8936730777656921705874243246621026129636063555282636805617388229666\

                      /
    266343265867191  /  1757927363469723152089411324307693179827819413102399\
                    /

    22485536605539948065719583306839689, and in floating point,

    0.00005083674652, and this happens with the pairs of cells,

    {[[1, 60], [2, 46]], [[1, 475], [2, 461]]}

The minimal sorting probability of Standard Young tableaux of shape, [521, 521],

     is , 9186023226540247073867497302392760495696661259637275197035371179856\

                      /
    398241619672379  /  6510147226510073999733465630040229812169192490357871\
                    /

    1955689650077227298617604490366459, and in floating point, 0.0001411031565,

    and this happens with the pairs of cells,

    {[[1, 60], [2, 46]], [[1, 476], [2, 462]]}

The minimal sorting probability of Standard Young tableaux of shape, [522, 522],

     is , 4515834490806904884755887944208909299091187735529666290174936172699\
    534121002306461584689162848518610533130752921112360212755223431444074687\

                                        /
    622814064310581521571175120715697  /  2708038840408494423317717703186486\
                                      /
    496880767568049623674459482863196765449063644741276771926275396477444234\

    7831033030469470893889329855095391968187412420650113979144450574343103,

    and in floating point, 0.0001667566367,

    and this happens with the pairs of cells,

    {[[1, 204], [2, 181]], [[1, 342], [2, 319]]}

The minimal sorting probability of Standard Young tableaux of shape, [523, 523],

     is , 1733243209933129630185976328559935751938521211581920328912906169902\

                       /
    8604610525358629  /  331644338769255408780003729133280889308601124095013\
                     /

    48500736902712217020050321120377189, and in floating point, 0.0005226210754,

    and this happens with the pairs of cells,

    {[[1, 60], [2, 46]], [[1, 478], [2, 464]]}

The minimal sorting probability of Standard Young tableaux of shape, [524, 524],

     is , 2738702681149279432955497720566208502600276379191055897060456615501\
    394551027202873341898349624825297012188004241392067434586098153330366218\

                                     /
    816016925286185916482403027567  /  1686951311102559487694582532909620492\
                                   /
    850883062770077931940587349148114100155336227546267107228599745671410828\

    6662918331075576864404110142185972885279607061564283528624545733,

    and in floating point, 0.0001623462789,

    and this happens with the pairs of cells,

    {[[1, 203], [2, 180]], [[1, 345], [2, 322]]}

The minimal sorting probability of Standard Young tableaux of shape, [525, 525],

     is , 8920519066768335437757976714266790356675542336806859285641479834541\
    169496471598548193732789507405489830483451056999406894988996997126204302\

           /
    5531  /  438565811869150374285078439942919293641271854937423462927048593\
         /
    793741789568955999925131267726093544438127850002806156572290339809397452\

    709387539157, and in floating point, 0.0002034020625,

    and this happens with the pairs of cells,

    {[[1, 131], [2, 111]], [[1, 415], [2, 395]]}

The minimal sorting probability of Standard Young tableaux of shape, [526, 526],

     is , 2311378764380581251225261076152307114792142334476450175782972229178\
    276014670646914386385118378763994441691051108194851294935104515094645779\

                                        /
    574406914441877100307428145955431  /  9572115972924656369654089284355757\
                                      /
    507707698022753207153301933154135083105029120100532845802637282506448712\

    131722892844617855078450163163998915553292785129062048906857968628969,

    and in floating point, 0.0002414699917,

    and this happens with the pairs of cells,

    {[[1, 202], [2, 179]], [[1, 348], [2, 325]]}

The minimal sorting probability of Standard Young tableaux of shape, [527, 527],

     is , 3096209684081970652890030189841552280096618939414276730193615254245\
    611750014018204849823319462480968387805284950644618635685925923213173488\
    361293459107805041119447935923849341475111877689794262387322877937845591\

                                                               /
    52622230192751512196562472097253153488575285465768342293  /  45736794615\
                                                             /
    442050960237822372007920872517896746893604701195604945797192242119444489\
    090775957627391099561244146754389744489105153298120180359217190115807242\
    674854159435282734916232937924113785972150044992450394591248727549363409\

    79941229951614000046752870873824792928384735, and in floating point,

    0.00006769625441, and this happens with the pairs of cells,

    {[[1, 276], [2, 252]]}

The minimal sorting probability of Standard Young tableaux of shape, [528, 528],

     is , 8784209164717732777364849508679810836675298249821907759003632039250\
    467267372650107480030405519706269130775758749279759921042961609629865186\
    418958398489736560668753482930854622837612413431411074341737426384022938\

                              /
    57991318345112995365051  /  12481303844383250158786640501176801069679720\
                            /
    086088995039289026861515121736792016249510079130431216790728350484877900\
    416591447358028894757009172824580420330659164913457024249917554458727422\

    230898786423482863381882464522086812381543645155385, and in floating point,

    0.00007037893856, and this happens with the pairs of cells,

    {[[1, 265], [2, 241]], [[1, 288], [2, 264]]}

The minimal sorting probability of Standard Young tableaux of shape, [529, 529],

     is , 5703229253807206988843541146558052615459417873271091969818272170415\
    427272846241473665553130876243943333792447261408332946187891276040622831\
    404266899440475107396877813415588492319776346044600468300937027059567273\

                        /
    75800384223890557  /  13686777122521643778591732477706471269589049063724\
                      /
    056937858221925949404159403610139415781581013262744607231781219088415698\
    777359221724065374986417044405480488370214746502620760242345565957845789\

    927660014824963892813961463660568929055, and in floating point,

    0.00004166962904, and this happens with the pairs of cells,

    {[[1, 261], [2, 237]], [[1, 293], [2, 269]]}

The minimal sorting probability of Standard Young tableaux of shape, [530, 530],

     is , 5298011915386685993077389935741467131968248296587874774273211592384\

                                                             /
    105763205235293359742400109605242983244662894509333323  /  2634733910768\
                                                           /
    908602080511414455417106351154706902543339237848871463960685387787624912\

    02531367305381331303575890463379504211883, and in floating point,

    0.00002010833767, and this happens with the pairs of cells,

    {[[1, 115], [2, 96]], [[1, 435], [2, 416]]}

The minimal sorting probability of Standard Young tableaux of shape, [531, 531],

     is , 5142568728429236282824674487958070249698889459456626769546343736479\
    186187921871874342114445038620802095874412291031514453775891104894149688\
    701663197587264159071307340652007052169488565565101868299630332830464347\

              /
    4006841  /  127710146475015160278120989575318373492136898480986461839038\
            /
    810499343941078892364744760186103463326508282895596081473080865831314947\
    182347753767202821997661051796177327045279760485641428328261846201511420\

    1249325150454106855, and in floating point, 0.00004026750317,

    and this happens with the pairs of cells,

    {[[1, 255], [2, 231]], [[1, 301], [2, 277]]}

The minimal sorting probability of Standard Young tableaux of shape, [532, 532],

            118901438263035418442323146831966942078880195809340411
     is , ----------------------------------------------------------,
          1256917392864451185724796276484909375852577792241612344101

    and in floating point, 0.00009459765529,

    and this happens with the pairs of cells,

    {[[1, 38], [2, 27]], [[1, 506], [2, 495]]}

The minimal sorting probability of Standard Young tableaux of shape, [533, 533],

            45353957844465633121382532234619025042747145801247
     is , -------------------------------------------------------,
          3622240325257784396901430191599162466433941764385049983

    and in floating point, 0.00001252096873,

    and this happens with the pairs of cells,

    {[[1, 38], [2, 27]], [[1, 507], [2, 496]]}

The minimal sorting probability of Standard Young tableaux of shape, [534, 534],

     is , 2631730821620219529081196963584050307597475521403184364809722971888\
    174709323496607189034916079796175461586310031654415750687594984968623647\
    706244836385120457192233858877023949712466558069515992546138580445465875

       /
      /  2507543682380290102683956340595796378802603275909395127245811307099\
     /
    355490070064584343989253718767386584539347846651603801879085743657420823\
    153409155791603378795340829018787498294785834538340331864239274428608071\

    36973, and in floating point, 0.00001049525414,

    and this happens with the pairs of cells,

    {[[1, 249], [2, 225]], [[1, 310], [2, 286]]}

The minimal sorting probability of Standard Young tableaux of shape, [535, 535],

            31145900858037984277164696034103723837911453783288665768301
     is , ---------------------------------------------------------------,
          138114641798490165864129139121284018830298145966784703351901709

    and in floating point, 0.0002255075961,

    and this happens with the pairs of cells,

    {[[1, 38], [2, 27]], [[1, 509], [2, 498]]}

The minimal sorting probability of Standard Young tableaux of shape, [536, 536],

     is , 9376121236774430115144300710747061393431219616149673660797692630033\
    941024793174568040746303404761048481254840426486237950814876017164272535

       /
      /  1843867646134367473359876704395232763630426984179657501221658173117\
     /
    384072721121801476009651507330516891864476563674239914834103216535009119\

    18233, and in floating point, 0.00005085029425,

    and this happens with the pairs of cells,

    {[[1, 130], [2, 110]], [[1, 427], [2, 407]]}

The minimal sorting probability of Standard Young tableaux of shape, [537, 537],

     is , 9768027811308428635598701350449985286404945249677588393804746238250\
    302757205144374616003815248161429992475829193359127582084145605699604208\
    26883185739153425353179416308519848421497852413630280630757945815042375

       /
      /  2469486523430397435379255081029979882778469202465718785879231448217\
     /
    992909992318872272329699118729521545790249662174309101516422853019183104\
    417772390359365743498437418615649265736960203501729649061808732373003128\

    217, and in floating point, 0.0003955489418,

    and this happens with the pairs of cells,

    {[[1, 244], [2, 220]], [[1, 318], [2, 294]]}

The minimal sorting probability of Standard Young tableaux of shape, [538, 538],

     is , 4047442716038153138680768979075937469991954720402546521622381526298\
    239331018457279949108182998662598099839130378062804380540809699831409825\

                                                                          /
    3330618538065976219034114273028287072353716732668257543897975493225  /
                                                                        /
    418735691905263646242981502042773460334190548109397023806169271508719643\
    037515990433659955880902758773924101108030047676355056586021834622767840\

    161614374376919753519268032700721943587278910112571655079249575159,

    and in floating point, 0.00009665865113,

    and this happens with the pairs of cells,

    {[[1, 243], [2, 219]], [[1, 320], [2, 296]]}

The minimal sorting probability of Standard Young tableaux of shape, [539, 539],

     is , 4643675404738390721270014001054000485836763018791795249007122402208\

                                                /
    59521890058342704283004840874745437566559  /  96400357160754323274568096\
                                              /
    448329058139545056336832636571863443643391326207148643113943584094711608\

    01041167123441, and in floating point, 0.00004817072822,

    and this happens with the pairs of cells,

    {[[1, 89], [2, 72]], [[1, 468], [2, 451]]}

The minimal sorting probability of Standard Young tableaux of shape, [540, 540],

     is , 2506808886357376076920472136315876789568158014394808032105492909444\

                                              /
    783937577430382779668757460741644274439  /  1048970154088730394717824770\
                                            /
    928499000430305292022117916995249658796423571350910153579364353587721523\

    5082880439, and in floating point, 0.0002389780945,

    and this happens with the pairs of cells,

    {[[1, 89], [2, 72]], [[1, 469], [2, 452]]}

The minimal sorting probability of Standard Young tableaux of shape, [541, 541],

     is , 2774443619122541274785592163093058974985461749186494663116797185503\
    302029793850026535328682867666122943043507253187770132346482832106357673\

                                /
    0943582676830723348016219  /  201619009063912829762640864085119623793193\
                              /
    273244768647562279036854193897505563918195221934940622401875678292443311\

    445149626733858554838085257755676275070209291669914859,

    and in floating point, 0.0001376082360,

    and this happens with the pairs of cells,

    {[[1, 196], [2, 173]], [[1, 369], [2, 346]]}

The minimal sorting probability of Standard Young tableaux of shape, [542, 542],

           1372372117070059104359746891198873652438839
     is , ----------------------------------------------, and in floating point,
          3386672370637597953610006899674839384124269383

    0.0004052273048, and this happens with the pairs of cells,

    {[[1, 32], [2, 22]], [[1, 521], [2, 511]]}

The minimal sorting probability of Standard Young tableaux of shape, [543, 543],

     is , 3705510052209319878396106083647852452278577663817709923079513114050\
    354419828610479468921951472119224962164178840985379732470045927502339375\

                            /
    543405104770519628577  /  2798940216077905753336542479549794008613977001\
                          /
    682331153536117107439122858485116921347639429162002763889884602680534515\

    5739061462497175384447362145050058012066891015, and in floating point,

    0.0001323897535, and this happens with the pairs of cells,

    {[[1, 147], [2, 126]], [[1, 418], [2, 397]]}

The minimal sorting probability of Standard Young tableaux of shape, [544, 544],

     is , 8461362112168623260199133263406057009990492309745222950857082126448\
    042413379703224959887246052991430122075531875776190761892179185920893633\

                         /
    333799197333972949  /  8621366409587351059028652333115639788003913950562\
                       /
    157505479324361814627026297141512861628247890156933142856230926829704971\

    3173648162721060675464167127334309681293, and in floating point,

    0.00009814409584, and this happens with the pairs of cells,

    {[[1, 168], [2, 146]], [[1, 399], [2, 377]]}

The minimal sorting probability of Standard Young tableaux of shape, [545, 545],

            898654099975225800064554803843000636232279778
     is , -------------------------------------------------,
          5890813329097495659848935244348158594992945396261

    and in floating point, 0.0001525517870,

    and this happens with the pairs of cells,

    {[[1, 32], [2, 22]], [[1, 524], [2, 514]]}

The minimal sorting probability of Standard Young tableaux of shape, [546, 546],

     is , 1600051457245261853942802139822194472839794081435864595637183820115\

                                                                /
    275152728233458101910554838870325417825614292658818870307  /  3042695919\
                                                              /
    436681298467645932496356511612933932757628460549771732240471552383200759\

    6740878001760311549261686677677195460734713293, and in floating point,

    0.00005258663697, and this happens with the pairs of cells,

    {[[1, 114], [2, 95]], [[1, 452], [2, 433]]}

The minimal sorting probability of Standard Young tableaux of shape, [547, 547],

            278784589031449224623313861152192020847447731
     is , --------------------------------------------------,
          19483866760755844727196791606541254871706813651071

    and in floating point, 0.00001430848365,

    and this happens with the pairs of cells,

    {[[1, 32], [2, 22]], [[1, 526], [2, 516]]}

The minimal sorting probability of Standard Young tableaux of shape, [548, 548],

            9146230926854705923094323701991758583612187
     is , -----------------------------------------------,
          94032220906222559074363651769348585474335884591

    and in floating point, 0.00009726698826,

    and this happens with the pairs of cells,

    {[[1, 32], [2, 22]], [[1, 527], [2, 517]]}

The minimal sorting probability of Standard Young tableaux of shape, [549, 549],

     is , 5007410523288588379032307140705756846554414136266267125124959126810\
    573559645426020311297822660087830821305433680011295148710135472205009750\

                                 /
    38988289220473630318617675  /  69491483779298490314463751308195726136567\
                               /
    170401590458334001561843287300750715664398195392563847144460772456496577\

    20726151403958312450169114863005052471534888924191987757,

    and in floating point, 0.00007205790193,

    and this happens with the pairs of cells,

    {[[1, 167], [2, 145]], [[1, 405], [2, 383]]}

The minimal sorting probability of Standard Young tableaux of shape, [550, 550],

     is , 1197594305834637382153910250101412713009965072295346853718892920558\

                                       /
    09025562504459322987311455963749  /  63209212660924594106311459672318958\
                                     /

    3649335633228152888189368152015169526647857450664957447243059075851,

    and in floating point, 0.0001894651516,

    and this happens with the pairs of cells,

    {[[1, 78], [2, 62]], [[1, 489], [2, 473]]}

The minimal sorting probability of Standard Young tableaux of shape, [551, 551],

     is , 1356799132374332651334684028826185144349996278035296074043900188661\

                                         /
    4750821943156432050626070549438209  /  307213857103082966436161886293868\
                                       /

    061696378451144374956440794796694291718856984338792106210101944090838609,

    and in floating point, 0.00004416464626,

    and this happens with the pairs of cells,

    {[[1, 78], [2, 62]], [[1, 490], [2, 474]]}

The minimal sorting probability of Standard Young tableaux of shape, [552, 552],

     is , 1424979291372456285106533603269763030538102838789354132690065865643\
    734049857381664704129498802441710078482447532200131414997448745497890727\

                                /
    0240811201852615572598169  /  517417004849843353814017637515128642865539\
                              /
    691421687997458055088344738532761679358777950795392199609213495495541307\

    30457835275399008344869140627172099868186031505489777,

    and in floating point, 0.0002754024854,

    and this happens with the pairs of cells,

    {[[1, 146], [2, 125]], [[1, 428], [2, 407]]}

The minimal sorting probability of Standard Young tableaux of shape, [553, 553],

     is , 3829430955169237076923923428038215155790090623482805061480639823600\
    809119417306141187983573175008593210539885949500830278211210186586856644\

                                    /
    93544527896815106046574236482  /  49936072960812076078180859816444260570\
                                  /
    561196751275521193581226173136095089389878487708304708414872271581403799\

    45245438030706884181332915867054308461466266060944098949986141,

    and in floating point, 0.00007668666613,

    and this happens with the pairs of cells,

    {[[1, 192], [2, 169]], [[1, 385], [2, 362]]}

The minimal sorting probability of Standard Young tableaux of shape, [554, 554],

     is , 4138607022881054079627608330446330731436512353721540753004019100619\
    918889613443262154976360261377609700530753600556700151887453442472225801\

                                  /
    501597550484058409683282685  /  1004591254805349959752557753577633191431\
                                /
    229869368711509954005384554044681464759294002499451646465488654571489355\

    9533409907995753407061318291139294822718956320547939408499,

    and in floating point, 0.0004119692465,

    and this happens with the pairs of cells,

    {[[1, 166], [2, 144]], [[1, 411], [2, 389]]}

The minimal sorting probability of Standard Young tableaux of shape, [555, 555],

     is , 7647950837783422561507926442388951472265587783771401328566758868572\
    739662174233723264753948368272231488971825307549015244125864370650936072\

                                       /
    27657267292812348298820823423525  /  36876435322269305787600914762552401\
                                     /
    427738442921799725236240634255671416762740237688314349621093290510983144\

    77412939964575617173164910661656993121204228851767190417050132404421,

    and in floating point, 0.0002073939840,

    and this happens with the pairs of cells,

    {[[1, 166], [2, 144]], [[1, 412], [2, 390]]}

The minimal sorting probability of Standard Young tableaux of shape, [556, 556],

     is , 1132556737128160822096953274543481257267140762555258176126044721773\
    989371176478384328550032853645098419550543563028843797017844485956154654\

                                                              /
    2491995796430665305393323271960045082815807915335627739  /  164605540547\
                                                            /
    087093652319539350222688854327094804663074213697897689430704872452054380\
    596699423090625144785841564200671761759656999968557323931708036697991090\

    959667347623985237702412722111352204968561, and in floating point,

    0.00006880429014, and this happens with the pairs of cells,

    {[[1, 227], [2, 203]], [[1, 354], [2, 330]]}

The minimal sorting probability of Standard Young tableaux of shape, [557, 557],

     is , 2207260677370341852853131302457610870742943167363569917636329931820\
    727664084542136482394279800412508494777413011750106540290267437641746498\

                                      /
    2878661962828587650656302155611  /  396968253347990282203334125647185818\
                                    /
    362754276452957210633792131804075016660362682496162839470512716742329344\

    59133317642757699950376709286757404704011569991066242094045982443,

    and in floating point, 0.0005560295209,

    and this happens with the pairs of cells,

    {[[1, 191], [2, 168]], [[1, 390], [2, 367]]}

The minimal sorting probability of Standard Young tableaux of shape, [558, 558],

     is , 1520632287664266678545727255087496183145775562507980760952284125844\
    767856260873012355457902799868816618588216586736778821493072928813281298\

                                                          /
    317458062380642119952994141581439481012721999902503  /  4211260535397628\
                                                        /
    205089148293555982522432703835153966132312479793522928464002150443385184\
    317627104283899655680001040544471554660116370080178363855929029884385081\

    161194872597991721358050281479903, and in floating point, 0.0003610872030,

    and this happens with the pairs of cells,

    {[[1, 226], [2, 202]], [[1, 357], [2, 333]]}

The minimal sorting probability of Standard Young tableaux of shape, [559, 559],

     is , 3732228555470717118909153045275499912891691258938149623783192879601\
    004954579165736965740847113194024387636277505182073432636909292706837309\

                                                            /
    57808573657259068227746648542117957916646283748005907  /  14499961184404\
                                                          /
    328512055213475414369286826502592817174763616751157087824357219329025190\
    252359394475807954992460803582740683310510702559853055231649297984357782\

    67575908314447737754467769437076671493, and in floating point,

    0.0002573957618, and this happens with the pairs of cells,

    {[[1, 225], [2, 201]], [[1, 359], [2, 335]]}

The minimal sorting probability of Standard Young tableaux of shape, [560, 560],

     is , 1812500426597985360998684260238156520800013960744859963312442908912\
    595020617512224455043278575645388519345485603665992434633350007204413973\

                              /
    17098373890068853649751  /  13039897490450805833582221820594219012273921\
                            /
    663396111102758207910847730516726879367898855669831958176785128199819576\

    88102576695609234468463131626594058764702536652417, and in floating point,

    0.0001389965242, and this happens with the pairs of cells,

    {[[1, 145], [2, 124]], [[1, 437], [2, 416]]}

The minimal sorting probability of Standard Young tableaux of shape, [561, 561],

     is , 5624192220709373420610848929556942664156460561309722352525787365396\
    943106407789816599240537474986586003591631348382223141408640759616967416\

                                                           /
    7757260982633048202045979294408528424551387201521893  /  144999611844043\
                                                         /
    285120552134754143692868265025928171747636167511570878243572193290251902\
    523593944758079549924608035827406833105107025598530552316492979843577826\

    7575908314447737754467769437076671493, and in floating point,

    0.00003878763639, and this happens with the pairs of cells,

    {[[1, 224], [2, 200]], [[1, 362], [2, 338]]}

The minimal sorting probability of Standard Young tableaux of shape, [562, 562],

     is , 1666805136559907680725545767534836501388782764184395119501779029300\

                                                               /
    47196033560293630440498756305681914987452275171400648587  /  59601575609\
                                                             /
    830382198196728648641868316133496966571422568873270694700509449521770567\

    5773021375484327875275438870280214040366513, and in floating point,

    0.0002796578982, and this happens with the pairs of cells,

    {[[1, 100], [2, 82]], [[1, 481], [2, 463]]}

The minimal sorting probability of Standard Young tableaux of shape, [563, 563],

     is , 1408219849188266120024423094578357839385913983350393977094072050426\

                                                              /
    2149623792505589559187498083759173249339162371131963769  /  596015756098\
                                                            /
    303821981967286486418683161334969665714225688732706947005094495217705675\

    773021375484327875275438870280214040366513, and in floating point,

    0.00002362722520, and this happens with the pairs of cells,

    {[[1, 100], [2, 82]], [[1, 482], [2, 464]]}

The minimal sorting probability of Standard Young tableaux of shape, [564, 564],

     is , 8542678769722843975582100721902581322978430069248823474272760114149\

                                                                     /
    74007673084342155469331531555826240533710185957718970134119209  /  16343\
                                                                   /
    828841631421881331920055182304197248342077377026745393524758857626386638\

    412924195308753556547998686992191540714843402195808087751,

    and in floating point, 0.00005226852809,

    and this happens with the pairs of cells,

    {[[1, 113], [2, 94]], [[1, 471], [2, 452]]}

The minimal sorting probability of Standard Young tableaux of shape, [565, 565],

     is , 7781480972310413220659922451984453018725251375413319940663769383261\

                                                                       /
    0501664056259793797591153860985568813651984364912367378505301409  /  259\
                                                                     /
    889898059181342310193489328180583643568707117727650641539288066905073105\

    841805512908501165709051979121326538724888143677169962409449,

    and in floating point, 0.0002994145225,

    and this happens with the pairs of cells,

    {[[1, 113], [2, 94]], [[1, 472], [2, 453]]}

The minimal sorting probability of Standard Young tableaux of shape, [566, 566],

     is , 1418453894793590729952435548794331668941128383150469704004336000257\
    113819985739909743299360445139993933771053845003350840259671955512574204\

                                    /
    25493647422839858804870500433  /  33773493566107782729706519445515247501\
                                  /
    227045624476873861310969152125368978025415503984760947728294356913546285\

    0470643245107632644309147351072722645043108476047148451085495,

    and in floating point, 0.0004199902779,

    and this happens with the pairs of cells,

    {[[1, 164], [2, 142]], [[1, 425], [2, 403]]}

The minimal sorting probability of Standard Young tableaux of shape, [567, 567],

     is , 6490189689460659956857230003646293079048511569741503212072196108858\
    769608242925488003918140984500093539306129526876742330561957275503800190\

                                   /
    1534153278059645685731873901  /  410252207733058349925385586026946371938\
                                 /
    909951071751652332209239278531321602793647919332379666615107568298445223\

    671818754913614080602305648407999642410627545692977672187085,

    and in floating point, 0.0001581999942,

    and this happens with the pairs of cells,

    {[[1, 164], [2, 142]], [[1, 426], [2, 404]]}

The minimal sorting probability of Standard Young tableaux of shape, [568, 568],

     is , 4791606014444736568509128484382177190319419823408475078597427329022\
    151095161914078713193485258100346509736795581516804037871605924053762689\

                                                          /
    446763171019809282315750756857943897928624060648683  /  1175826311683978\
                                                        /
    316097786720559339335017853939733836999047432737333861341584900376812194\
    951964484518455306778854540560658692062296750803136171121683769959983281\

    9897952024732997014455810086663717, and in floating point, 0.0004075096778,

    and this happens with the pairs of cells,

    {[[1, 220], [2, 196]], [[1, 373], [2, 349]]}

The minimal sorting probability of Standard Young tableaux of shape, [569, 569],

     is , 2403606698596570405116579721245204593990970898584845695761303202178\
    096912108763515608437293058827455090813183352569816560902519372650760389\

                             /
    7368104328083566936221  /  705679938310176398013494274254560619036384450\
                           /
    718657671896901112877668494440350887441992759914761614209221706509746622\

    19000636938466845839046272512004912049167102571, and in floating point,

    0.0003406086199, and this happens with the pairs of cells,

    {[[1, 144], [2, 123]], [[1, 447], [2, 426]]}

The minimal sorting probability of Standard Young tableaux of shape, [570, 570],

     is , 1672092204190138863534859954125154445913267920561668260353784733885\
    643569878484161832941809825467038168178009550188020488455690967555057611\

                            /
    489531307262203873239  /  1236758654770412243941175532198714486970983057\
                          /
    960534064149208135971171588194429390362255352427932725933687526872751812\

    0855781731483880198595738481485396957070523131, and in floating point,

    0.0001351995555, and this happens with the pairs of cells,

    {[[1, 144], [2, 123]], [[1, 448], [2, 427]]}

The minimal sorting probability of Standard Young tableaux of shape, [571, 571],

     is , 1715215306677127963963164156023840034095945486519690291702136212547\
    430891626927951816430310001769989890510074268803766539576635544217646819\
    713333242318129595912107620731233385253930434332945415375565558267952626\

                                              /
    377911670284292125060433526930619594039  /  1438538423108816214780377509\
                                            /
    634179264001388126340698790353293015711844802701166571966109713048728459\
    996441454187848429518401032617533499554124383119415249796979109096784923\
    801621873529320391762196259188105744374382696791156167896194001648154529\

    6390851275, and in floating point, 0.0001192331939,

    and this happens with the pairs of cells,

    {[[1, 288], [2, 263]], [[1, 309], [2, 284]]}

The minimal sorting probability of Standard Young tableaux of shape, [572, 572],

     is , 1891517983297418642145888290708042215372201159839808941657296987150\
    238624721554506159256447800925184985675609824834115070572045971901958811\
    141853707952751393589517303883140704832042831448340580640200135502325594\

                                       /
    56191472051187501934817989952502  /  20603170340362752729538821947550910\
                                     /
    580031170009146724340672237966996242999325501374042831588274497845885198\
    091429205753486852603588609808666661206396318769740164248253931472029776\

    12982746728017771243831473986093334904061172305532651016914780326825,

    and in floating point, 0.00009180713221,

    and this happens with the pairs of cells,

    {[[1, 283], [2, 258]], [[1, 315], [2, 290]]}

The minimal sorting probability of Standard Young tableaux of shape, [573, 573],

     is , 7714672473608338344886738020999236216426911281386059812175703952850\
    404447912358623253971224881362341858413118812870729259405049069574754687\
    039963465818844146115522594308099872918960650303233646746566829508683564\

                                /
    8648533549108791052655283  /  587310449005290951354566458836123327168527\
                              /
    245078300262003041499056133994101792940165971122621230122231377479358395\
    647029529650775723663591273871864394077040754183975112462882322867368928\

    136251436138085127642567205741264658483591273823624825,

    and in floating point, 0.0001313559547,

    and this happens with the pairs of cells,

    {[[1, 279], [2, 254]], [[1, 320], [2, 295]]}

The minimal sorting probability of Standard Young tableaux of shape, [574, 574],

     is , 7122353554564137477914597055319585163434614712007674593629921318877\

                                                 /
    205967575422197352715125996841074446583896  /  3806218052679691173708937\
                                               /
    911723144195490207569708839303175817915601000065285417631465342441896372\

    77015929939924053, and in floating point, 0.00001871241599,

    and this happens with the pairs of cells,

    {[[1, 88], [2, 71]], [[1, 504], [2, 487]]}

The minimal sorting probability of Standard Young tableaux of shape, [575, 575],

     is , 5390888670029222128229577212275637815947683631917160864740632052427\
    408904397924521558594335017369198673587272677323793858352171652093728928\
    643177996542174507665543472346853595873899128110922233466370528899891433\

                              /
    52719234957396581096797  /  98095698322454301049344705771381602937613308\
                            /
    927037220469528202433448711889434920357086194570388184218382643910567169\
    404647847986908442485574928206280296524931313377616964930715567189611049\

    75083488660635981708741319061660485593974238322407, and in floating point,

    0.00005495540337, and this happens with the pairs of cells,

    {[[1, 274], [2, 249]], [[1, 327], [2, 302]]}

The minimal sorting probability of Standard Young tableaux of shape, [576, 576],

     is , 9798149185372658654724978726847445055534661612500605296114678196942\
    447734976467482306540791201616528133288257939901515172717041519874303593\
    664943338579844290017685297709569686088765162741323103939693077831098703\

                         /
    211784180609610449  /  6317235488454365100683056913649338845934492406160\
                       /
    725110907717883611104434581731707580748976670978378911234486103553877285\
    619719561991872980098082385645849183071373478609975075962534256513781018\

    24869794473866574772400272350511338137181, and in floating point,

    0.00001551018512, and this happens with the pairs of cells,

    {[[1, 272], [2, 247]], [[1, 330], [2, 305]]}

The minimal sorting probability of Standard Young tableaux of shape, [577, 577],

     is , 1763345939017718383235739692459695671479733851980444662364084687888\
    273079776931689322865851701473115857537703451228332408998594964192539114\
    582114748853659482107680793349537271798834727753918741954759513378189594\

                              /
    21812047537457113536887  /  40153158455826891561024681221497415609608462\
                            /
    032193882183489538681129428574473193045124550455088600764219692869402075\
    496801520776888495108746719468456587250480008328464121310083201709386482\

    61571403205204404270283485796536299702407902338197, and in floating point,

    0.00004391549773, and this happens with the pairs of cells,

    {[[1, 270], [2, 245]], [[1, 333], [2, 308]]}

The minimal sorting probability of Standard Young tableaux of shape, [578, 578],

     is , 1255669856446858460427096724501011929300329460103700322733588763933\
    252896710950148016060916246372715206414458461187495489105806122430124409\
    541283283446967055215541702870934536225464185167107059970988037031047330\

                                /
    2390706926894911145733047  /  539856435542346321882587602630443763979037\
                              /
    713663741031343070166584809339590717562418598544072429709606941236100451\
    058371935660866428879619483728948524209155835719344552794967500703658917\

    27684053919385897865351787393317603216227057009073657,

    and in floating point, 0.0002325932922,

    and this happens with the pairs of cells,

    {[[1, 268], [2, 243]], [[1, 336], [2, 311]]}

The minimal sorting probability of Standard Young tableaux of shape, [579, 579],

     is , 4325313261116911999124334792682135530613791395471412886720335963043\
    775756775310952742839142799971923633129932811872231090369487926966853330\
    177983611278341020592488361540845989779361445333584497865080620523251067\

                        /
    64719865550888953  /  19189095432607065927649303320992426928274504963450\
                      /
    550691969341696392828592172640099737268535203980109227828989376439795812\
    674038201959991381226565030929110310007963266029171680435494285523754776\

    88304271049143573968746996799873114157, and in floating point,

    0.0002254047501, and this happens with the pairs of cells,

    {[[1, 267], [2, 242]], [[1, 338], [2, 313]]}

The minimal sorting probability of Standard Young tableaux of shape, [580, 580],

     is , 5052728785707113234422674097291835553963978111629062138989638518337\
    174239433278115079845275274590764380297294371828341786808801444736452306\

                                          /
    00998583411374257967227435143642513  /  69971009259943486053466049657615\
                                        /
    376200128497886829884776146621453227568640385257945369646042678957477534\
    436463062235271438703394955505514644216382195013766435847351439294489269\

                                                -6
    0455, and in floating point, 0.7221174654 10  ,

    and this happens with the pairs of cells,

    {[[1, 185], [2, 162]], [[1, 419], [2, 396]]}

The minimal sorting probability of Standard Young tableaux of shape, [581, 581],

     is , 1055264580022113562473468289566019079743136391319500127988180417815\
    942270019544769010688736350093424236920694918813737109091555231580516536\
    562687612997066080035002328681639361630260310770177764138069964138303693\

                   /
    319397646843  /  6169563243871835020563303501883722384152290563962988260\
                 /
    469088675304217324281482693022659073297913495067229148318016647413749416\
    168411588401518179877048072621520615176235193490557037440046466201077821\

    048414042986642539108815567, and in floating point, 0.0001710436441,

    and this happens with the pairs of cells,

    {[[1, 264], [2, 239]], [[1, 343], [2, 318]]}

The minimal sorting probability of Standard Young tableaux of shape, [582, 582],

     is , 9023570595600034698609458309988299444855345999425770164199051766438\
    966218670195140394231752713797485123179110098596116607045765883677593059\

                                               /
    4703730118695061294264109595230425720613  /  683370563745809132333692717\
                                             /
    224271605266750215425941607413176002673520446605918065451759938411701219\
    916029307612657025490121975160995911391384937784291469080548583208921844\

    033011124979, and in floating point, 0.0001320450583,

    and this happens with the pairs of cells,

    {[[1, 214], [2, 190]], [[1, 393], [2, 369]]}

The minimal sorting probability of Standard Young tableaux of shape, [583, 583],

     is , 8520652787924805287759595159422808132085120319340700948698443409658\
    190352059359316255331295773167764390921616347547625851162030676324991395\
    253501212808723388617933959659290569579453641169686470520716361854755461\

              /
    2848881  /  418194228699324685508547474761895533501857431296997214465654\
            /
    524446173603599158207465181327810640421045712459190062893682678440179404\
    976973716383034538309954528170454041002428284751259769613489424154802204\

    077246299254293911, and in floating point, 0.0002037486939,

    and this happens with the pairs of cells,

    {[[1, 261], [2, 236]], [[1, 348], [2, 323]]}

The minimal sorting probability of Standard Young tableaux of shape, [584, 584],

     is , 5699089738623677944644474771180480629053738357236182079247442024562\
    887412474812618932777209833471147904099927510737649160770393411468627508\
    160742054004865936859916712236657977481325774043527712214572371523138478\

               /
    68984637  /  20936259708233563438994781142984359529322968473051786201005\
             /
    887873986131073786847044829971737929540316602661322824171887355361707047\
    939209216148331343649266545062024940742379548615018889021462046828815470\

    142933468734543156387, and in floating point, 0.00002722114560,

    and this happens with the pairs of cells,

    {[[1, 260], [2, 235]], [[1, 350], [2, 325]]}

The minimal sorting probability of Standard Young tableaux of shape, [585, 585],

     is , 6657043350898838333101077748253547080222370647333481416712696079466\
    460958529590355612239776195412412180815828262261152342955521537074800191\
    112836342845283787477909590401148108898127828482079606440805588988716268\

               /
    47936479  /  62777854073432989337015370340115583226773450517422638091642\
             /
    470286841722422137813147717640514028016015810047984243824123089193892625\
    283005478258659715816855371456293396908464525389199918336141735690539740\

    60584186341377046893, and in floating point, 0.0001060412696,

    and this happens with the pairs of cells,

    {[[1, 259], [2, 234]], [[1, 352], [2, 327]]}

The minimal sorting probability of Standard Young tableaux of shape, [586, 586],

     is , 2706596850629268076145771930637058639357562764092163807318734012170\
    647039786344696510200074612381269107519300084102893977447275685245384215\
    820994501329105087001381070376340991817340244006559920420799185298368891\

         /
    61  /  13789106658319715680603876431585741862589724879657985622896217081\
       /
    381024667521204458237572467467839987901587089542035356071004083276687270\
    369966638710930383594793262360835791282126796389454037984045086789499451\

    77314362, and in floating point, 0.0001962851487,

    and this happens with the pairs of cells,

    {[[1, 258], [2, 233]], [[1, 354], [2, 329]]}

The minimal sorting probability of Standard Young tableaux of shape, [587, 587],

     is , 1138610730709551676949496653773863528914704157654535218354764637962\
    282421609603082174995736976931452893176534668774754894251827281490853457\
    444198461853027358881649021942178364632929532314337987547790476848027019

       /
      /  4671277177244287828962661820523240563322877321573463533666675773341\
     /
    697064007870106401224471384190813102639105792988628815046999547823704646\
    229724379479160642063561571184526378902420143424618550006390115623658089\

    543, and in floating point, 0.0002437471996,

    and this happens with the pairs of cells,

    {[[1, 257], [2, 232]], [[1, 356], [2, 331]]}

The minimal sorting probability of Standard Young tableaux of shape, [588, 588],

     is , 5498500923924536072739600019914284069058610051657600372752578309690\
    498679737754713170239102857678175158212930705445348161561700478288961561\

                                       /
    45964918428896422684178612669551  /  25879359170613108008243330739525061\
                                     /
    631716578134474827800837469611407183638927673319647860379506584268577505\

    28323382053055781969734980477602462255852608699678590649314004099025,

    and in floating point, 0.0002124666568,

    and this happens with the pairs of cells,

    {[[1, 161], [2, 139]], [[1, 450], [2, 428]]}

The minimal sorting probability of Standard Young tableaux of shape, [589, 589],

     is , 6526727637915030141495107947422301009429025342510699147944698708186\

                                                                      /
    153922536987696704212919586423658254929313478326773515945989029  /  7150\
                                                                    /
    938920239007932429888273698302256978341332058344942558935039727611951906\

    0247260305914226649339020074833153774264209906261330001115,

    and in floating point, 0.00009127091856,

    and this happens with the pairs of cells,

    {[[1, 126], [2, 106]], [[1, 484], [2, 464]]}

The minimal sorting probability of Standard Young tableaux of shape, [590, 590],

     is , 1761790548900081583165358227321954288617899767202791720614383870028\
    042785007905327887693957105520403528147483195800403608841455626948895159\
    092372540758025620835910332659612773477053719153243146624807484214921479\

        /
    9  /  133809133611847889127992940842602154254847735783315793053611646873\
      /
    219958966651280949927490147274869851998001495747465138415757070789895902\
    830881297903784539992076769708042235097892407388217150955451026120396426\

    527711, and in floating point, 0.0001316644463,

    and this happens with the pairs of cells,

    {[[1, 254], [2, 229]], [[1, 362], [2, 337]]}

The minimal sorting probability of Standard Young tableaux of shape, [591, 591],

     is , 8325579543405748100901300767365232905955741849868393527807275653686\
    792607853724658978266744491165701441617263876448458057851718843611731679\
    757937894037821030496545321534761856220840139932373868987346866098370829\

         /
    97  /  81832206857061377479084105161264010464359470575627432852300248002\
       /
    125557872867766186985399156358314593667759251400036443986091731125307764\
    951936241162975953849105973472392054655023921147718769281105165835795020\

    316275733, and in floating point, 0.00001017396434,

    and this happens with the pairs of cells,

    {[[1, 253], [2, 228]], [[1, 364], [2, 339]]}

The minimal sorting probability of Standard Young tableaux of shape, [592, 592],

     is , 1202320097322645085558891233722171701237584885407834350412761860783\
    795582336840833639615063949567569489955240489701152996782546534770052338\
    104968245649816028642129041609242926634040906314247896137942207862188302\

          /
    199  /  7855337130813421176723604332754189601529725235016651041263054916\
        /
    557991452994085290676603502117436566127409888192740455160509713446600781\
    697964585309555735552879922159981467055009559311238467986916401949859030\

    518194729, and in floating point, 0.0001530577335,

    and this happens with the pairs of cells,

    {[[1, 252], [2, 227]], [[1, 366], [2, 341]]}

The minimal sorting probability of Standard Young tableaux of shape, [593, 593],

     is , 1437058524555094945723819601312007972653583829624129979259332962805\
    793028629904178181795355438528943502725520841845384400220901555763095837\

                                                   /
    56894456790564477085582473635836026756224425  /  63758766505748033288090\
                                                 /
    835382569221167767211912694051358796546680195487486049093442217877233478\
    984956659367146379043730014512561787919250586283490128908395456951424746\

    5362397476865561551, and in floating point, 0.0002253899508,

    and this happens with the pairs of cells,

    {[[1, 210], [2, 186]], [[1, 408], [2, 384]]}

The minimal sorting probability of Standard Young tableaux of shape, [594, 594],

     is , 1175377455579516524609350990740027134561047575347152011107721872244\
    559333410098130440615715886573701005682098511888235003058846895081305593\

                                               /
    6519274707399049607949118246103116554547  /  316128841987814746333489060\
                                             /
    162751764585311481129778118597934337348236792290509380186526140954919309\
    847958607986929609015517213144265964629884760010767841252337177777074350\

    80174257565, and in floating point, 0.0003718032965,

    and this happens with the pairs of cells,

    {[[1, 182], [2, 159]], [[1, 436], [2, 413]]}

The minimal sorting probability of Standard Young tableaux of shape, [595, 595],

     is , 1450151062406394221703408859821730136089519272095237274685654894028\
    715634901406282907239761375037616862204791651989225959780111956839935031\

                                             /
    29500137883904191155793220321429213087  /  72869724536974570123117932457\
                                           /
    088608357216085923852977101351805321411247737186408634559693104078588692\
    284030049529554237207938452770478838954431920234846795404041680171739321\

    3641835, and in floating point, 0.0001990059756,

    and this happens with the pairs of cells,

    {[[1, 160], [2, 138]], [[1, 458], [2, 436]]}

The minimal sorting probability of Standard Young tableaux of shape, [596, 596],

     is , 2125401410423109903168343430779201004841495332963208382761245313196\
    577652485456264269176774254689693933851659065106383595217858424371749867\
    459133496320248793613351601028151387231849818014146228795567286033432405\

           /
    7209  /  239779084389262430458958632542322295277734765195567043073538877\
         /
    132462721962540307907504854496875117391590873009685076582392406820789412\
    971003872967712292927659844926246145440068915610570709825178956406470564\

    939336254169, and in floating point, 0.00008863998358,

    and this happens with the pairs of cells,

    {[[1, 249], [2, 224]], [[1, 373], [2, 348]]}

The minimal sorting probability of Standard Young tableaux of shape, [597, 597],

     is , 1093987507547147377889341304892682302012918267165807304426819793104\
    218621125826221970111502511568516608614112118847061044143780649714728609\
    843341409682190669567365395635507217023320374201143680523093943936048000\

               /
    43521797  /  43602778917663342220770301780397580803703882772713497800696\
             /
    024491055728433306565253770453157397287730643070005424295659183184650427\
    842562021355738568427356935550111194979890359561128908256816471692926105\

    1876540802133418523, and in floating point, 0.0002508985745,

    and this happens with the pairs of cells,

    {[[1, 248], [2, 223]], [[1, 375], [2, 350]]}

The minimal sorting probability of Standard Young tableaux of shape, [598, 598],

     is , 3496003637083805195645789489082442615203875975077528528263107422753\
    290720353960862298477435212581811224043303410063296537140131849426409593\
    362778911456098001292578087093224699637383735485538545054320961600546702\

             /
    099147  /  5538574982220020598579535079948205655784771178356190207391956\
           /
    706439692660412266454118808948220262399359236626923850759791689966971375\
    403994451516929815525458742484082861382483845070729430823456754388714527\

    460809843683861, and in floating point, 0.0006312099499,

    and this happens with the pairs of cells,

    {[[1, 247], [2, 222]], [[1, 377], [2, 352]]}

The minimal sorting probability of Standard Young tableaux of shape, [599, 599],

     is , 4165921722635381719990957313898174309740089763070080966772577504128\
    963475303690548309300835663722531763787288128181990538916438885643540508\
    907728323406093480796616471708186558125036754780664524861956351010687688\

             /
    702737  /  1292334162518004806335224851987914653016446608283111048391456\
           /
    564835928287429528839294388754584727893183821879615565177284727658959987\
    594265372020616956955940373246286000989246230516503533858806576024033389\

    7408556301929009, and in floating point, 0.0003223563876,

    and this happens with the pairs of cells,

    {[[1, 247], [2, 222]], [[1, 378], [2, 353]]}

The minimal sorting probability of Standard Young tableaux of shape, [600, 600],

     is , 2342758373496702605625816312480784777810336396690086919149700359822\
    517823006175510723311292010661042854915407414577006288619987770426289528\

                                           /
    698844326691610625463972435289272977  /  2977959802017181127664501822665\
                                         /
    089575604903799643512570428745304151668961113523287037287456017182906798\
    719257313437644944109727914227937723969937874971648071280828840912974405\

                                                 -5
    73185, and in floating point, 0.7866991260 10  ,

    and this happens with the pairs of cells,

    {[[1, 181], [2, 158]], [[1, 443], [2, 420]]}

The minimal sorting probability of Standard Young tableaux of shape, [601, 601],

     is , 3448011963586760728106948751835246822435083265053810129351672548870\

                                 /
    86608020281724405716591175  /  64425565598068067322378251493356962608546\
                               /

    7937877679599860848438524460029807710197414373835551407,

    and in floating point, 0.0005351931227,

    and this happens with the pairs of cells,

    {[[1, 77], [2, 61]], [[1, 541], [2, 525]]}

The minimal sorting probability of Standard Young tableaux of shape, [602, 602],

     is , 1727570238857898633658281677006339432942608814893733210326157934802\
    125453890681405159424680933442009932079608545333606115641132876833162597\

                       /
    2946935693167079  /  872435203964126980394397109270850101886267099626023\
                     /
    573813173777802039547308394094910535284049223551741841902303650671279077\

    02996967517161885604097725954371969, and in floating point, 0.0001980170253,

    and this happens with the pairs of cells,

    {[[1, 141], [2, 120]], [[1, 483], [2, 462]]}

The minimal sorting probability of Standard Young tableaux of shape, [603, 603],

     is , 4612560885064390780562610018779531216915189691491294441025414725751\
    581055172352235607085988215148149935176264612907316032234271663081489851\

                                           /
    006708278381097604538616461994094945  /  8275488458720961450119761822430\
                                         /
    352801168161071832990132348653813592186601541042705390646985137419497595\
    309376213720897042687582744739395237900871264450183285845995888529957767\

    8761, and in floating point, 0.00005573762695,

    and this happens with the pairs of cells,

    {[[1, 207], [2, 183]], [[1, 421], [2, 397]]}

The minimal sorting probability of Standard Young tableaux of shape, [604, 604],

     is , 2959518211866737616730717584122412169627478289558008923794380396303\

                                   /
    4283005430155752783746236929  /  884230998544777317556787781808919302080\
                                 /

    601502372731636456792789286748113843697239429361153800019431,

    and in floating point, 0.00003346996675,

    and this happens with the pairs of cells,

    {[[1, 77], [2, 61]], [[1, 544], [2, 528]]}

The minimal sorting probability of Standard Young tableaux of shape, [605, 605],

     is , 7515821727234859009480088390552452382544951302577383239678556284024\
    295313270148674456092156334671887919445892011988751019380465245994122088\

                                                                          /
    9557368831594266159219365212108952747881189230130619532829096233437  /
                                                                        /
    456099796307893004359658394238388686698377145876286205387722203708880492\
    914710369447179301658656634963920969718314835544725116670939743941311345\

    516954923506722190971575291339832980394180447931730829006763705909,

    and in floating point, 0.0001647845886,

    and this happens with the pairs of cells,

    {[[1, 243], [2, 218]], [[1, 388], [2, 363]]}

The minimal sorting probability of Standard Young tableaux of shape, [606, 606],

     is , 1715439276425316125473208872094105832394742479694130130659085854490\
    000474167085803992723702923624609197961026716542848641700923048873161549

       /
      /  2950815369560571070030797130253866879653905641727717304427591233222\
     /
    176013186350932522081166675822044711065588306418232289018862331423682194\

    5181, and in floating point, 0.00005813441580,

    and this happens with the pairs of cells,

    {[[1, 125], [2, 105]], [[1, 502], [2, 482]]}

The minimal sorting probability of Standard Young tableaux of shape, [607, 607],

     is , 2625988409071067320987092263997526946042618275411012586046701956166\
    777219584227615197000602238216694261140688147451493671203340898325156407

       /
      /  1743699687554721315591030325576960281026069856754282974410651811098\
     /
    597515274897621459535624219161381322870272226909854356863042302074474853\

    89649, and in floating point, 0.00001505986626,

    and this happens with the pairs of cells,

    {[[1, 111], [2, 92]], [[1, 516], [2, 497]]}

The minimal sorting probability of Standard Young tableaux of shape, [608, 608],

     is , 2723424336846696398810206143882302153901747940373613652018692619158\
    835915266404873737754501773676498290170464632813426669624653629935163491\

                                                                       /
    1983934115545791391864770825745296554944381163902418675688505707  /  123\
                                                                     /
    519381953373613787451897515088019869474342360438454120253586443888134677\
    522870836823261769980582185952549702034666418201255508344647180783623337\

    001344637402180893311420147255215441554495517717653182534701,

    and in floating point, 0.0002204855865,

    and this happens with the pairs of cells,

    {[[1, 241], [2, 216]], [[1, 393], [2, 368]]}

The minimal sorting probability of Standard Young tableaux of shape, [609, 609],

     is , 1910950170565271286943964542440112691885855977696301502656516854009\
    984538900090047122578909844119020092040884726553366160310933812604213292\

          /
    469  /  3195617861986694243277238536875368476964498408518949582892424077\
        /
    017163546492678568784523127521088259929454329943403809526157474474228473\

    097674883, and in floating point, 0.0005979908278,

    and this happens with the pairs of cells,

    {[[1, 111], [2, 92]], [[1, 518], [2, 499]]}

The minimal sorting probability of Standard Young tableaux of shape, [610, 610],

     is , 1462313535408942620928860992280541534779230539871626579436434973434\
    102376357020417883384483138062919417438242866730135498218414433160587867\

                                            /
    9651750369446357623170862731258410819  /  849627242211877692601534384305\
                                          /
    370203665230270657654103052879716787544077017255924052172168188633884004\
    891763349166174122494566838190690644181847580464452640067087295450211844\

    335669, and in floating point, 0.00001721123644,

    and this happens with the pairs of cells,

    {[[1, 205], [2, 181]], [[1, 430], [2, 406]]}

The minimal sorting probability of Standard Young tableaux of shape, [611, 611],

     is , 8659468240215545656321307772719544394571191041537907276808280516234\
    440552838452741171545546687443924591576432130070760277360603702835721752\

                                           /
    755970714141339922550070456850033347  /  2848727691597268794024019004406\
                                         /
    639948357948367114170706541225887093972630365572092210356890734042187596\
    277764293188646558230862545894815180577340849836908037337957307812610809\

    4621, and in floating point, 0.0003039766934,

    and this happens with the pairs of cells,

    {[[1, 179], [2, 156]], [[1, 456], [2, 433]]}

The minimal sorting probability of Standard Young tableaux of shape, [612, 612],

     is , 6040643637234471504965488407324870478040238091322935892575564942206\
    942706637939858562609308996204276061709565487497501832917955370267228207\

                                                                          /
    2968319451165130866082557243802140144089779089850230579490141651609  /
                                                                        /
    131535842102791146187334402084189825288697951084846257548009107114591705\
    393256732787444983786960082184021521982182474730733711840250464847553423\

    9801813114742889312826385702463863172905022951453706273173569011713,

    and in floating point, 0.00004592393633,

    and this happens with the pairs of cells,

    {[[1, 239], [2, 214]], [[1, 399], [2, 374]]}

The minimal sorting probability of Standard Young tableaux of shape, [613, 613],

     is , 8311204270412173485370413211575929327614502229703235360940964808612\
    557627304801962726958369965266440523002340217269532463520899100059498085\

                                            /
    6477375264209657075586545684690813743  /  390574418134516656465436251565\
                                          /
    843943452655940478724281103237124515946881912775447199725164715145385432\
    211643261769628223291945730427497682312002506572730516367993065772350870\

    090975, and in floating point, 0.0002127943840,

    and this happens with the pairs of cells,

    {[[1, 158], [2, 136]], [[1, 478], [2, 456]]}

The minimal sorting probability of Standard Young tableaux of shape, [614, 614],

     is , 2071353327990839731275239178664601975870591487351077449422875224312\
    421646187317504119698129212639472375036919206288289435576567892966702099\

                                                                      /
    059684774743791420333541211363972341034585162336902487001074771  /  2396\
                                                                    /
    659113073103623842253559101904511209262450756085810688357180084756762444\
    777668630449935079352116029034892082839398916489839116857038564827432541\

    6123658380360272331791309947764752382758804250975223176011,

    and in floating point, 0.00008642669776,

    and this happens with the pairs of cells,

    {[[1, 238], [2, 213]], [[1, 402], [2, 377]]}

The minimal sorting probability of Standard Young tableaux of shape, [615, 615],

     is , 2114020251472759179360500977111003421835643317476917998569642578343\
    800930533045017518915866060677182086724295140639281493032571129393540492\
    277367260120489679595118002721145979876863825676803393040415361830523015\
    662313346503805162005386523457835136094644222669181243868042808204346067\

                /
    680704073  /  1240305507678984130394889949352737531459218101291112108153\
              /
    285671635519029542814636383988514916312678813585808598073228762075144320\
    937897735997125582136170760518026639755202251309404140302970839815329563\
    813184847007434157058381379797569800197649474947703145086719989725729691\

    35529126374838298079775, and in floating point, 0.00001704435108,

    and this happens with the pairs of cells,

    {[[1, 318], [2, 292]], [[1, 324], [2, 298]]}

The minimal sorting probability of Standard Young tableaux of shape, [616, 616],

     is , 6527165005233394394646643161238812892254820321038341443831912522301\
    285050918141200313532833554492997483125835289471932107481633599460879211\
    920204105170211426041359216595093513373129889677692228088110897308509880\

                                                                    /
    3465081725360233958740073932781298277761222128328189899469425  /  139463\
                                                                  /
    410391238309087483654589227461335329038041936345395360961909235250462389\
    142728635160944179003508989648495408541539152769490251870441532962126722\
    426664623244444724227766268604895753856312104717663513680954067848848001\

    6506523308900159827494370729878664438302328789677984261,

    and in floating point, 0.00004680198904,

    and this happens with the pairs of cells,

    {[[1, 309], [2, 283]], [[1, 334], [2, 308]]}

The minimal sorting probability of Standard Young tableaux of shape, [617, 617],

     is , 1271368707733583056857895656728894253252011963243820520116513387567\

                        /
    57991422098997709  /  45942373290842135245177121021759112989716097879820\
                      /

    82467654141359757288813286907201477061, and in floating point,

    0.00002767311779, and this happens with the pairs of cells,

    {[[1, 59], [2, 45]], [[1, 573], [2, 559]]}

The minimal sorting probability of Standard Young tableaux of shape, [618, 618],

     is , 1986868076169478100622703466804325190687301088188094363285362377817\
    436185883299811803691807438395020112886441031692812585962206512078372130\

                                                                    /
    5698829888272318456269094899817233392983103242636331811001753  /  133165\
                                                                  /
    725038887458874752879697603038627435422041095234994766006730930532116726\
    248058211561472101483108212010352448306584822008986259032945197710038545\

    6261572101122678196803656868979000352838154321213408527,

    and in floating point, 0.00001492026627,

    and this happens with the pairs of cells,

    {[[1, 236], [2, 211]], [[1, 408], [2, 383]]}

The minimal sorting probability of Standard Young tableaux of shape, [619, 619],

     is , 1952441040391468214465486555873862145302688248960507441292012976321\
    979049764109929909736059206827218964431547930128358863651190763758972407\
    852693935980992247508955013112811366764954613893680855051176617716658954\

                                                      /
    78668787305509785288705797808441784844701289351  /  15011771780274623294\
                                                    /
    602620084036021917040417408377144977169395761904293998594091957652867224\
    193519664697426082257852613664195781844212997151928932254722512673059879\
    261847473638804425093089416115622661459273231260458060792606954470983463\

    983686925934865975632574703, and in floating point, 0.00001300606663,

    and this happens with the pairs of cells,

    {[[1, 298], [2, 272]], [[1, 348], [2, 322]]}

The minimal sorting probability of Standard Young tableaux of shape, [620, 620],

     is , 2281514247779193812477607651974263732831274337866818043389710583050\
    896631646089688579203724875717599730181939395028979716667672528848052378\

                                                                          /
    7654556991149553836088734863947704328062739698629409638162858243119  /
                                                                        /
    146606141667062370098981687845482113316102479187702977062787739790283350\
    723267428274726854371480685798323848557320914168428094353242157140356514\

    912736036205257328899010720704995676505085845010923685347784963011,

    and in floating point, 0.0001556220102,

    and this happens with the pairs of cells,

    {[[1, 235], [2, 210]], [[1, 411], [2, 386]]}

The minimal sorting probability of Standard Young tableaux of shape, [621, 621],

     is , 1324553034535122795586758065495722411902980200764253128198512435774\
    799111272630202714669152416221402352374940253639659835711293508272337001\
    419860976088899198477480210681081853546669969810484656656023861201123244\

                                              /
    900700233173228582389227192059760573896  /  6466409785123448099672133172\
                                            /
    379656111074237939504183230384346864813846423002713246612263955095339495\
    768002299625112269952918692308594379396475945749844957215797626871288619\
    171126620575584053805942337329745916376353838463290619192914541476109168\

    238136457, and in floating point, 0.0002048359257,

    and this happens with the pairs of cells,

    {[[1, 293], [2, 267]], [[1, 355], [2, 329]]}

The minimal sorting probability of Standard Young tableaux of shape, [622, 622],

     is , 1845546504361371391171662035963462593329898591442245136525499048362\
    167518608794943896726622662882526699151758999277909782090004291134989014\

                                    /
    96169295221326253350880492419  /  72936751968801836125419331794189130825\
                                  /
    276288718726528551550864757155907000509881574445703028180402025869117725\

    40877085993463720238215924126236215280461000299122810059241339,

    and in floating point, 0.00002530338210,

    and this happens with the pairs of cells,

    {[[1, 157], [2, 135]], [[1, 488], [2, 466]]}

The minimal sorting probability of Standard Young tableaux of shape, [623, 623],

     is , 2164036610925871483106036827142991529947882833057571951021832334088\

                                                   /
    95863436459154373137279969505758279438317354  /  91526627123273474216603\
                                                 /
    487529366562152180600402389828650564717215413993892249704444860551608289\

    1986531135272025677, and in floating point, 0.0002364379284,

    and this happens with the pairs of cells,

    {[[1, 98], [2, 80]], [[1, 544], [2, 526]]}

The minimal sorting probability of Standard Young tableaux of shape, [624, 624],

     is , 4443029545987503599394499960888193102349643054870879913106327433298\

                                               /
    0586175838006531230573732969894685329814  /  130752324461819248880862125\
                                             /
    041952231645972286289128326643663881736305705560356720635515073726127426\

                                                           -6
    647305038860811, and in floating point, 0.3398050141 10  ,

    and this happens with the pairs of cells,

    {[[1, 98], [2, 80]], [[1, 545], [2, 527]]}

The minimal sorting probability of Standard Young tableaux of shape, [625, 625],

     is , 2017464919824034551395207477709374365398027734751076702469443696975\
    180506844244273972203850310458028641324152994805558043135364389400255922\

                                                                        /
    34321969388548646816550042366064456099642336137734977248376292503  /  12\
                                                                      /
    614263943614217669285994542035628587934553519942953466059640126437357623\
    664996383152348288685288593422931042318373293122532156330673225167992359\

    07140407492076836367090521880333507020660640505288042358720403,

    and in floating point, 0.0001599352074,

    and this happens with the pairs of cells,

    {[[1, 233], [2, 208]], [[1, 418], [2, 393]]}

The minimal sorting probability of Standard Young tableaux of shape, [626, 626],

     is , 4343270280074745309520341561478888981828420358698982636815385120448\
    444126778160923722349566679151153222834971361543331888022690452678243912\
    913111557583697319419073842166024235120951896624812961209835960049775589\

                                         /
    0550802370702544941776000796765283  /  671624009287830863253662751076661\
                                       /
    034640194696759034902869944352032960812227970099568239301755257192763507\
    973712256969386151607076927239747458509997753836451287228518518003858359\

    956006168212352543551828003623962960764289580915256281831849912982935883,

    and in floating point, 0.00006466818071,

    and this happens with the pairs of cells,

    {[[1, 285], [2, 259]], [[1, 368], [2, 342]]}

The minimal sorting probability of Standard Young tableaux of shape, [627, 627],

     is , 1879382653101535710575531988560714937627947201506726728168923302090\
    432858443485519705194637143653842942124496932768816432630245965949774539\

                                                                   /
    964620758028337084930732395379824007159351146222071083380469  /  1114306\
                                                                 /
    860685233296041328538831429610270402075104873152683013627715482782700272\
    444580637439848949327912545150227581531045374568223224012777633066487748\

    9594065258096345916605891584074969544568739093922831, and in floating point,

    0.0001686593451, and this happens with the pairs of cells,

    {[[1, 232], [2, 207]], [[1, 421], [2, 396]]}

The minimal sorting probability of Standard Young tableaux of shape, [628, 628],

     is , 2410977938659935934120625044354859254905978360784858103287622939879\
    019140019884597051659460722573424977798297510744057164413902501869324030\
    526338054613662243852953986242492713092811852682415396421385482906057043\

                                    /
    43973539043983372586079989501  /  12242940619895734948983715573870995661\
                                  /
    623680308733120992687159182584555798849106758597676757557660946873947017\
    425122639967959510296615222849547400324347466462204699620863585292241281\

    51881496235377646435754012695354822029254105552430383998815399,

    and in floating point, 0.0001969280105,

    and this happens with the pairs of cells,

    {[[1, 282], [2, 256]], [[1, 373], [2, 347]]}

The minimal sorting probability of Standard Young tableaux of shape, [629, 629],

     is , 2726667537747601477509378427734612996863508877540200567438875153866\
    672882951016949758100791744924570526617625217281577728544183966528357920\
    097289121424159911920074790510694685575994452039298126336543115833300272\

                               /
    693800011676328219128437  /  7257226212149220479539843256592172887743734\
                             /
    622841209835617758851561680971457680354829683910822561320020122713352177\
    024284504748249327340159779134750650543249676763260737157849579894202024\

    28118184734105366931058301613532456494103396789566577,

                                          -5
    and in floating point, 0.3757175893 10  ,

    and this happens with the pairs of cells,

    {[[1, 281], [2, 255]], [[1, 375], [2, 349]]}

The minimal sorting probability of Standard Young tableaux of shape, [630, 630],

     is , 8731150758579153577008470057006770000687670605230587073991347910229\
    972501582510919807340304460426413087071546708013186630125679474042203514\
    498180270703698353776175409618483658024055315813506854282446310410462741\

                               /
    855778340028129270882151  /  5226440026693763233046224412894786598459089\
                             /
    348903665782189369706738898062185174974059638520423120550376707385519244\
    249335836427224155800421071034350817940793445989535514475234516392522055\

    0141686693574067113936684031380684193056639331900731, and in floating point,

    0.0001670573223, and this happens with the pairs of cells,

    {[[1, 280], [2, 254]], [[1, 377], [2, 351]]}

The minimal sorting probability of Standard Young tableaux of shape, [631, 631],

     is , 2243316054454957871438563039773345772143100069656746046122412964087\
    941468165769310050390663828215917466356870301107303278490714991376361108\

                                                         /
    17652321923160090115525115291813576044828896376923  /  15265320025284078\
                                                       /
    344547430321287629830780450973030122489868338822214617983705603845768357\
    277615299577878079846140733033051830255361749701663459651683940455886559\

    73881313640663696652604669792877, and in floating point, 0.0001469550622,

    and this happens with the pairs of cells,

    {[[1, 176], [2, 153]], [[1, 479], [2, 456]]}

The minimal sorting probability of Standard Young tableaux of shape, [632, 632],

     is , 1060058022361711965969540169178200700042128581557438437743187292960\
    381368097274035578544296301031848536812062607805762573135025750714630109\

                                         /
    7195726247542037792898797345911791  /  129168397658799035300085163120490\
                                       /
    119269742370438325590096656918458969705251339948819333591794950897581541\
    818436146882788767346294489653566070028710756935851573259595829665150879\

                                             -5
    1, and in floating point, 0.8206790837 10  ,

    and this happens with the pairs of cells,

    {[[1, 156], [2, 134]], [[1, 499], [2, 477]]}

The minimal sorting probability of Standard Young tableaux of shape, [633, 633],

     is , 3121363157520954887641806690495753380520937321722168234676587287909\

                                                                        /
    40427140682760005948002324789909089577701655084679267910120944841  /  29\
                                                                      /
    128071485648890370765469212734933955639309679304501679157798491072599413\

    94077532916487342333749835739071027185528831712329990918868891,

    and in floating point, 0.0001071599663,

    and this happens with the pairs of cells,

    {[[1, 110], [2, 91]], [[1, 543], [2, 524]]}

The minimal sorting probability of Standard Young tableaux of shape, [634, 634],

     is , 1078872204796346401249068833223570234420701111550865922143551244817\

                                                                         /
    724943794476147004007765420966973757531129982769152075957875432341  /  2\
                                                                       /
    912807148564889037076546921273493395563930967930450167915779849107259941\

    394077532916487342333749835739071027185528831712329990918868891,

    and in floating point, 0.0003703891640,

    and this happens with the pairs of cells,

    {[[1, 110], [2, 91]], [[1, 544], [2, 525]]}

The minimal sorting probability of Standard Young tableaux of shape, [635, 635],

     is , 1588664886501581893861933276073477120054785963462436931893295848085\
    503137905134744699017751609495492186358151888523484481876214062370759776\

                                                          /
    669342378066680167951856045991381914192191427039781  /  3273077222496541\
                                                        /
    558039852178167381312275254921452744661874559038650473150432817061726683\
    592504438187056191791562279381170138336571027647217125230387128294645498\

    4799765750994045127582679672225619, and in floating point, 0.00004853734814,

    and this happens with the pairs of cells,

    {[[1, 229], [2, 204]], [[1, 432], [2, 407]]}

The minimal sorting probability of Standard Young tableaux of shape, [636, 636],

     is , 1527262562756087739015205087870913030029964640983930118622798436528\
    307398611758975226969190999889674044937063650858511172234380182818676940\
    432827407675519069437602694635044735418251675646781221324144492274159060\

                        /
    17069111739219101  /  40978008985035075593039457865551010195017892115477\
                      /
    585150082322362370127161839417094890276801900465780079254727786643162515\
    248756927112508886859385487282468581994154443513069353591645959704723097\

    8359541977773329415490306754453126121, and in floating point,

    0.0003727029694, and this happens with the pairs of cells,

    {[[1, 274], [2, 248]], [[1, 389], [2, 363]]}

The minimal sorting probability of Standard Young tableaux of shape, [637, 637],

     is , 3951153154727875343078567721446044183305880910437307407744058214896\
    002262851141038820873536989556108086409758795638916640923230011067861588\
    937619836638709610490924079787692279924052626296201087455284883167287816\

                      /
    527227165379969  /  1413034792587416399759981305708655523966134210878537\
                    /
    418968355943530004384891014382582423337996567785519974300958160109052249\
    957135417672720236530534044223054551522567017692046675573998610507693028\

    8260068199080324672079543257004349, and in floating point, 0.0002796217882,

    and this happens with the pairs of cells,

    {[[1, 273], [2, 247]], [[1, 391], [2, 365]]}

The minimal sorting probability of Standard Young tableaux of shape, [638, 638],

     is , 3891274392289219601659303254658410303693453980775145716706625617070\
    421591640787112136063153893487432285224588201061901554389643941251856819\

                                                          /
    479697350037763334021250734863461896204873758777864  /  4650770868968360\
                                                        /
    928886318853976203537769810859872450396108995614780206727358910523383103\
    562726456631467647706068973736029101308932666637288566290236892386327083\

    8897563710834672914306769055199789, and in floating point, 0.00008366944969,

    and this happens with the pairs of cells,

    {[[1, 228], [2, 203]], [[1, 436], [2, 411]]}

The minimal sorting probability of Standard Young tableaux of shape, [639, 639],

     is , 3990211022186004695670433582664028535794427156826266299797395227870\
    745990285566035818097897245162544044459838639610013655854004389889058237\
    666838249344902313896324320115064317579037196966627983192335175662600073\

                      /
    640145897800231  /  2800416145431153763699680019531435614387269997333012\
                    /
    388635309191728901448394907281426320032183180885587186461008040137413991\
    518513248176468492291587572640452611786548124348219978621271359782525410\

    01680782135323851791374963883535149, and in floating point,

    0.00001424863597, and this happens with the pairs of cells,

    {[[1, 271], [2, 245]], [[1, 395], [2, 369]]}

The minimal sorting probability of Standard Young tableaux of shape, [640, 640],

     is , 7843964649723162024181329026822518030077571578582826824851884700345\
    476672199176359944656844932361866721320350795690797490969631048426349908\

                                                          /
    394017341311609029434550368520809957736541319194049  /  6121019966380578\
                                                        /
    914546581784677633254509518739964203996183843100962588174706143340865996\
    991028171837147914688059719040758238069953652192029507650217475308912258\

    2022331720673234906803814274325551, and in floating point, 0.0001281479997,

    and this happens with the pairs of cells,

    {[[1, 198], [2, 174]], [[1, 467], [2, 443]]}

The minimal sorting probability of Standard Young tableaux of shape, [641, 641],

     is , 3824668879406531631743254621008343533904824803375347925206335769392\
    455055365809621827347911173855968823359880422461086124131147872774181392\

                                                                 /
    7884350608458689948463934055967286204292230792277377040481  /  279530157\
                                                               /
    868135384286303388149691703431233192035578298963271868478989385067501541\
    729455984270329460507287000441379210646522248710918011446160317297832443\

    880227460838475566781341440587677281663059591681, and in floating point,

    0.0001368249104, and this happens with the pairs of cells,

    {[[1, 227], [2, 202]], [[1, 440], [2, 415]]}

The minimal sorting probability of Standard Young tableaux of shape, [642, 642],

     is , 1731910769815671648774946654343329597507438505663744101228139229608\
    734409029267187136254451166141440659273486741392640642899018861601048382\

                                  /
    037689976368892916574165749  /  6150044596069873018126198587837937433383\
                                /
    589308087073383418715711084615068721030093784316611669038919636229372616\

    794358857390943921190722089837921815567358645590802590283,

    and in floating point, 0.0002816094652,

    and this happens with the pairs of cells,

    {[[1, 155], [2, 133]], [[1, 510], [2, 488]]}

The minimal sorting probability of Standard Young tableaux of shape, [643, 643],

     is , 1594814273737652232301162047287058879529823040139799851693719030789\
    875889380407472050047086954936777446334531793331127066914118499096339764\

                                      /
    2918793848569334790922932836403  /  136930742931495722748579811558211676\
                                    /
    954285615944558688881817705307298954505073735038107809358811151545700646\

    981312926399959809366405311427330241329223607240244079219672650995,

    and in floating point, 0.0001164686790,

    and this happens with the pairs of cells,

    {[[1, 155], [2, 133]], [[1, 511], [2, 489]]}

The minimal sorting probability of Standard Young tableaux of shape, [644, 644],

     is , 2803126477833903747028536655451317223498354322236782827122668655718\
    057231752319872669090193576828116981077186098899919245994269340078761293\

          /
    239  /  4523052619088329549297606959925820841148935670817961674669118142\
        /
    628126137403848988593910705499908830251562756616391894002086351045490714\

    5766189249, and in floating point, 0.00006197421772,

    and this happens with the pairs of cells,

    {[[1, 138], [2, 117]], [[1, 528], [2, 507]]}

The minimal sorting probability of Standard Young tableaux of shape, [645, 645],

     is , 3253843523212024179690636714606095841037562983256920365672654193534\
    330779345523582801179847935867809741962235192254286060853150246196793881\

           /
    8943  /  174004854691029462435325919917041570490816818903383382986422116\
         /
    527085016597799800774378677535379574208473273049190304270499975885367345\

    880476574543, and in floating point, 0.0001869972840,

    and this happens with the pairs of cells,

    {[[1, 123], [2, 103]], [[1, 543], [2, 523]]}

The minimal sorting probability of Standard Young tableaux of shape, [646, 646],

     is , 2734631176072768612015339274957100724499353753942322483598740343456\
    610864549310968225018061936018791988976492594739021642893415005767859100\

                                                               /
    98761340816202277607796152799336564098499711530507716227  /  18364052094\
                                                             /
    099738118271902697885505218286412913472243274036739530511459281560184279\
    926750935163824601885783895918154155402993100502915086676762844986740978\

    66100766782904385896018262345024886277041373, and in floating point,

    0.0001489121879, and this happens with the pairs of cells,

    {[[1, 174], [2, 151]], [[1, 496], [2, 473]]}

The minimal sorting probability of Standard Young tableaux of shape, [647, 647],

     is , 1452813695503663655785770494642451624922729806355214083770647420989\
    228169297600206376421132239048506975406112345792895368615497856600573118\
    141150371954439033108064504062051559622719217012761578592250725913079357\

                       /
    4510608121681489  /  194138751002985549044684237038742638754787467631789\
                     /
    562519832157320615811640641104404061375894073952509307453971140551251454\
    420959641224904901949702068876291867394391822366414468734476528866953251\

    3333008002358392284486000954746154469, and in floating point,

                   -5
    0.7483378192 10  , and this happens with the pairs of cells,

    {[[1, 265], [2, 239]], [[1, 409], [2, 383]]}

The minimal sorting probability of Standard Young tableaux of shape, [648, 648],

     is , 2335090958825916641248350668289326771068169349032608461107297818415\
    320566607863371142102373067013302019869872398023866857359585042153634046\
    137136950565143810594305384127803053813103404230984312413288038854859330\

                         /
    873808711619007039  /  5525487528546511780502551361871905872251643309520\
                       /
    164471718299862202142331310554509961746852369797109880289074563231074079\
    856596543634862677978568443498786768533532690328890257956288947360059438\

    691793945852866193425075541178892901181, and in floating point,

    0.0004226036068, and this happens with the pairs of cells,

    {[[1, 264], [2, 238]], [[1, 411], [2, 385]]}

The minimal sorting probability of Standard Young tableaux of shape, [649, 649],

     is , 1364921111632885608853649856986445510202551513111951774740085187753\
    169237416613909126500982290373585445820412942820778217973392314562887934\
    747797733764421112684378997801753313416984090266091850397157730296402111\

                        /
    85061204588594359  /  31006608075649313283917315434378323524901057294369\
                      /
    633192656232082707474597455065112362677573329411376778154846659934682133\
    751593116836485498802419725773056023830709554608102213340140893549072348\

    8221206583791262617242373422274221989, and in floating point,

    0.0004402032974, and this happens with the pairs of cells,

    {[[1, 264], [2, 238]], [[1, 412], [2, 386]]}

The minimal sorting probability of Standard Young tableaux of shape, [650, 650],

     is , 1067655378654083477052887897571359115493305603179877675571961278030\
    064259274182687051074198831594867422026740971185913891371206707859172440\
    892338206574790275802372676629856050066456128970569417332048585901453621\

                         /
    771119469702303279  /  3195000061922757962425777843589238741087145116524\
                       /
    087947915619829288346797350529368918562712502858282930566040901575822671\
    782105648188065941929789760253593836668343114318447638706517071222513986\

    9222453265644703933091591797533490576441, and in floating point,

    0.00003341644313, and this happens with the pairs of cells,

    {[[1, 263], [2, 237]], [[1, 414], [2, 388]]}

The minimal sorting probability of Standard Young tableaux of shape, [651, 651],

     is , 2543302679413951100677801345000795536495910737018045996430228664001\
    052576353544966719011321474718368510582687806213662642981836763127528960\

                                                                   /
    536163664847306295930827798557789791508234072579944872455887  /  1592133\
                                                                 /
    501347840376300138219620405416899898823978561408825859256427027796623542\
    920908004960693930342855235278872474859225476880805367222107740753461087\

    9171825183341632063873950406519491491144606452180487, and in floating point,

    0.0001597417979, and this happens with the pairs of cells,

    {[[1, 196], [2, 172]], [[1, 480], [2, 456]]}

The minimal sorting probability of Standard Young tableaux of shape, [652, 652],

     is , 2401628280496731099117899278549026876219899673186478390467682518747\
    879639570608412287933127814448357333980450777227057885896067209550658827\
    559852729736933591234023957555972817103693175122930095985216731070568059\

                                 /
    01200767835781552220095849  /  80055498787389109950768946330563053915809\
                               /
    817045772262397732387363084270288024947717306626752478061870038974622315\
    034088041180973528414478231846912559401584962809840922785088335397013198\

    9581001239477065319176359805017401088500615423030397429,

    and in floating point, 0.0002999954178,

    and this happens with the pairs of cells,

    {[[1, 262], [2, 236]], [[1, 417], [2, 391]]}

The minimal sorting probability of Standard Young tableaux of shape, [653, 653],

     is , 8882605001082845684254253616874198536315778153195714313503437119581\
    006480652046291492317487508294279947204761929641178089825852925523082028\
    473442011322195295356650932772628957269252144469692199196924587904872535\

                            /
    353937071840034995796  /  3538504806186694673475038741998278557898251169\
                          /
    910936626232076612720708061363793396731121638383633863534512724523488053\
    713226583537429595028682501366748990569901014003619526263150093785800290\

    6628336325606739401270761736615307320766024459, and in floating point,

    0.0002510270718, and this happens with the pairs of cells,

    {[[1, 261], [2, 235]], [[1, 419], [2, 393]]}

The minimal sorting probability of Standard Young tableaux of shape, [654, 654],

     is , 8810242413928975842713626818065006723549960463911255400212392118945\
    110453684633347093762433329462446786858014718035761733067134673398990522\

                                             /
    63503877639871701069578876520156534349  /  12329412497623267324408436139\
                                           /
    377522616655077108424128315840701135021306455510569097979658643433287833\
    258317295345411186587142581801330609700111021922133270309865698860626695\

    706370726, and in floating point, 0.00007145711457,

    and this happens with the pairs of cells,

    {[[1, 154], [2, 132]], [[1, 523], [2, 501]]}

The minimal sorting probability of Standard Young tableaux of shape, [655, 655],

     is , 6655093322589496076337675607410635012138107637991005256545345950463\
    951795215702667144194746318986272527593388744775908741962559599996833387\
    258475387546335767641169680593302761333037652765524746399059723381804715\

                           /
    89694423541589990889  /  43101824619627306041303593996195247671696312013\
                         /
    733403266405630315246648986043597106501174104076509409502405693869514316\
    898295849798886120246859546005041292403174513538962915432778868388079961\

    755112374247910901641086290546324947102697081, and in floating point,

    0.00001544039813, and this happens with the pairs of cells,

    {[[1, 260], [2, 234]], [[1, 422], [2, 396]]}

The minimal sorting probability of Standard Young tableaux of shape, [656, 656],

            511072641057649748154721292374101688866718253508732459649679
     is , ----------------------------------------------------------------,
          3975882182191715605361943801859623216259338476731762690184368921

    and in floating point, 0.0001285432057,

    and this happens with the pairs of cells,

    {[[1, 44], [2, 32]], [[1, 625], [2, 613]]}

The minimal sorting probability of Standard Young tableaux of shape, [657, 657],

            640349264245487930672253076191418533138493256380004077714151
     is , -----------------------------------------------------------------,
          13847037944874595729019183585786963615248040901720966610642112449

    and in floating point, 0.00004624449408,

    and this happens with the pairs of cells,

    {[[1, 44], [2, 32]], [[1, 626], [2, 614]]}

The minimal sorting probability of Standard Young tableaux of shape, [658, 658],

     is ,

      790079293409264126895511642831545616142531649175572373420496622467
    -----------------------------------------------------------------------,
    22072773906761735199672926460638608842140832863101994778927784854541307

    and in floating point, 0.00003579429105,

    and this happens with the pairs of cells,

    {[[1, 44], [2, 32]], [[1, 627], [2, 615]]}

The minimal sorting probability of Standard Young tableaux of shape, [659, 659],

     is ,

      916564429239341944861960337794612511340239747847155828155116697151
    ----------------------------------------------------------------------,
    7795613632396139784920687623668824844488998895335298236483747024250711

    and in floating point, 0.0001175743787,

    and this happens with the pairs of cells,

    {[[1, 44], [2, 32]], [[1, 628], [2, 616]]}

The minimal sorting probability of Standard Young tableaux of shape, [660, 660],

     is , 6682836858164876769266646293665604340493038659552852526153399525929\
    209895948264999434324746410754613534184438698942213425311324062323809597\

                    /
    7899577373031  /  428616159206329987816675041172831348502564292915088929\
                  /
    242385071911646565818095839472038120443966935968327020112783726141117387\

    1252793369847828364008748795354, and in floating point, 0.00001559165868,

    and this happens with the pairs of cells,

    {[[1, 137], [2, 116]], [[1, 545], [2, 524]]}

The minimal sorting probability of Standard Young tableaux of shape, [661, 661],

     is ,

    46106542027767343968127625891464149148811308639865086045288189920858508279

       /
      /  9548699088034740672153138700385954186500934321084175516536213529948\
     /

    41351995279, and in floating point, 0.00004828567913,

    and this happens with the pairs of cells,

    {[[1, 51], [2, 38]], [[1, 624], [2, 611]]}

The minimal sorting probability of Standard Young tableaux of shape, [662, 662],

     is , 1651537654784579083033129050298043928294878066921615158603526407704\

                                                                           /
    45021945224240453080398804369541481520179306835537851971021388007323  /
                                                                         /
    418117863744786265838721110578578463881952795809505476924102361515858296\

    9192464019831818911813067358003083928788092581535086765239245142323,

    and in floating point, 0.00003949933256,

    and this happens with the pairs of cells,

    {[[1, 109], [2, 90]], [[1, 573], [2, 554]]}

The minimal sorting probability of Standard Young tableaux of shape, [663, 663],

     is , 1155126492222495957824350376067657376226890372392177555737506117748\

                                 /
    96391703766773965528044794  /  29678946791513711847153920357859685416235\
                               /

    23736290192547424618818520502368182041140897808146187181,

    and in floating point, 0.00003892073733,

    and this happens with the pairs of cells,

    {[[1, 67], [2, 52]], [[1, 612], [2, 597]]}

The minimal sorting probability of Standard Young tableaux of shape, [664, 664],

     is , 7401696153284232735698023207303242473507164816037258021570845591455\

                                  /
    343868134562827893137334138  /  8037543345375244004321071900995878070886\
                                /

    5632613409908376172840248504217195460583550436559387558963,

    and in floating point, 0.00009208903561,

    and this happens with the pairs of cells,

    {[[1, 67], [2, 52]], [[1, 613], [2, 598]]}

The minimal sorting probability of Standard Young tableaux of shape, [665, 665],

     is , 5743267454063018835450216263009075558947883371397147914055591244137\
    950663054057001173855859663966001949870282618037479354471399913715840706\
    165222496732518926235844699938256650967846598607778394279338537399680641\
    948896240430614333061757083343869612811351147906869645277346812480599403

       /
      /  7707949108777924272223342635840549674733148485655270404914416519043\
     /
    070858504069791423181364394720783232497212223587228033532023851974354649\
    030169411970732670886385832455345561833623871852940697797183988475497168\
    915566810931458873417147525921213743339780737691159794818927084536222102\

    3197, and in floating point, 0.00007451096748,

    and this happens with the pairs of cells,

    {[[1, 322], [2, 295]], [[1, 371], [2, 344]]}

The minimal sorting probability of Standard Young tableaux of shape, [666, 666],

     is , 3820783275499033420239976686139227604149572624549311467422611293708\
    854871837332362815861668755775370216161204790989536849178903265160325253\

                                      /
    6464865053930270465098641185417  /  212047990422166610999505111987312670\
                                    /
    028979838471225309281745827082788032553715456880782290706657597490601311\

    540065403629916470097719213321795941109730988523645388889216919054,

    and in floating point, 0.0001801848378,

    and this happens with the pairs of cells,

    {[[1, 153], [2, 131]], [[1, 536], [2, 514]]}

The minimal sorting probability of Standard Young tableaux of shape, [667, 667],

     is , 1384866396239872458212929497510195735853342360015410404068399115693\
    330168352060874185982921809295704247570708562454719635044744716172522016\
    223190978279893639455883248042529416364668165473279949389602181970244615\

                                                                        /
    41000411060528821143092562157020958331544540212400046104061315049  /  44\
                                                                      /
    497190606920351778616418208225863278529646107519423840581683290647331937\
    859078567959697328116900169775229014239721598589970655223897387048450598\
    433232702210142502946683440383307731596605856125739299849737619360754212\

    72559778646988860902398430793825840288580014881839042572319591,

    and in floating point, 0.00003112255802,

    and this happens with the pairs of cells,

    {[[1, 317], [2, 290]], [[1, 378], [2, 351]]}

The minimal sorting probability of Standard Young tableaux of shape, [668, 668],

     is , 1219372388746062805101586382553159640215454573427664558792748636306\

                                                    /
    937294115370575251947344917457226912224159472  /  5592831130996851594638\
                                                  /
    435431496985019561895476564225060453437914144540187260704537898204281607\

    2700741134527855006003, and in floating point, 0.00002180241742,

    and this happens with the pairs of cells,

    {[[1, 86], [2, 69]], [[1, 600], [2, 583]]}

The minimal sorting probability of Standard Young tableaux of shape, [669, 669],

     is , 1049023646957838092771404618404037152667171285869229109261214860020\
    063307114180009718983764919671964070116281875046448116431601955088255752\
    315674301151989740405464475910049328742567616815957422761364832081800874\

                                                               /
    02743837102194540014903181901018709791080506629112120561  /  37371918297\
                                                             /
    311731107015780215514048683676284032658012996631946492889324134854154398\
    891205693483538177570987369132846376457862984244969960515564816400990767\
    174229571781619586995035731931389997752161431461158050935688901338409804\

    56976437775767849108742425451980055950446651, and in floating point,

    0.00002806983679, and this happens with the pairs of cells,

    {[[1, 313], [2, 286]], [[1, 384], [2, 357]]}

The minimal sorting probability of Standard Young tableaux of shape, [670, 670],

     is , 6477782949204186918593242969490511379655478103639191385498716232516\
    364954417098224241414089365201137259078385778002906323575679107842928763\
    965593093047611371633435471198613835303599262638508687495403395604208737\

                                                               /
    99166009101589069275452211984555127844651890799951015227  /  74583205330\
                                                             /
    288210124438604140430437886621271572491246620769360675493577150472839632\
    433119963198793010394024937998938452943107185203340171710978505427184587\
    101020740940637674441054464884739461931732927537665615740928742579025028\

    72653840804008193460754702850309001514096349, and in floating point,

    0.00008685310480, and this happens with the pairs of cells,

    {[[1, 311], [2, 284]], [[1, 387], [2, 360]]}

The minimal sorting probability of Standard Young tableaux of shape, [671, 671],

     is , 1021485640602297043393711400268023022414511471421597224232878456703\
    842681947120362264083653142675897436448359008486513299830681055066314312\
    672668332648948951135292050608926868135841905021700181083298210350939200\

              /
    8725547  /  240796121636930407320914279071553730178790930972814145223046\
            /
    271376396348977724050263503417921369198902205682753923142648895401988286\
    845510993211908892733129898827781500975336824527809155422224804235920764\

    820638617107319573, and in floating point, 0.00004242118327,

    and this happens with the pairs of cells,

    {[[1, 252], [2, 226]], [[1, 446], [2, 420]]}

The minimal sorting probability of Standard Young tableaux of shape, [672, 672],

     is , 3015274839094254538095960542149402961656714767003658865477752862094\
    589714688041916851279959268113218549202713313874063769275108893550928310\
    488154157652619439073812426637776125340223989718847562053126969934609919\

                                                          /
    401552827926394128274039965681771516375818317403669  /  3956647727613551\
                                                        /
    658847359119603102258694716291822921184543814657508107498128542534651440\
    573959755810865407872531123890745572022705627034960609148249992551079358\
    769499399879811834126338042740459293739955632363528094213960616921328085\

    1776934913838445179085788982559849, and in floating point, 0.00007620781648,

    and this happens with the pairs of cells,

    {[[1, 308], [2, 281]], [[1, 392], [2, 365]]}

The minimal sorting probability of Standard Young tableaux of shape, [673, 673],

     is , 3882456884365515901196441104526951041931363682878531357656791559754\

                                           /
    255011597498378183593400612822370603  /  1054118964058076047511547071015\
                                         /
    279267300940450124258086556078988748839257640140564319446974221831756221\

    06103, and in floating point, 0.00003683129719,

    and this happens with the pairs of cells,

    {[[1, 76], [2, 60]], [[1, 614], [2, 598]]}

The minimal sorting probability of Standard Young tableaux of shape, [674, 674],

     is , 1672812756985059299183125054747257467837965638604880969463133652753\
    957605154984320513593378500883356593564818020647843935977497594028200152\
    332830593503840563346363711717041003238560792775178863734206564267344740\

                                                        /
    8859500599967380600441666081759012987193761907607  /  184941002151929940\
                                                      /
    203509173734831930817662840415928107603832201079465175300103027852710445\
    289357062933586571314005453947505182984552670229293699408260917244845369\
    022601823408511841883102160072478777327356094913500521787705698680747915\

                                                                            -6
    24611271261245102524925163727953, and in floating point, 0.9045115672 10  ,

    and this happens with the pairs of cells,

    {[[1, 305], [2, 278]], [[1, 397], [2, 370]]}

The minimal sorting probability of Standard Young tableaux of shape, [675, 675],

     is , 1016919793656792376279402869997129872892851524837722165660496396589\
    817825902996102900254188249388066836153367236205032872264461751935806620\

                                                                   /
    520988610023161170977410114890915495205248896371637540729913  /  1003870\
                                                                 /
    220438060962313790700137095089010893018534496547257622070940282934912030\
    163147708035395655862723809022803079639512460295680770637147145796027886\

    7133379784158481776456165641535564278006714204104233, and in floating point,

    0.0001012999263, and this happens with the pairs of cells,

    {[[1, 192], [2, 168]], [[1, 508], [2, 484]]}

The minimal sorting probability of Standard Young tableaux of shape, [676, 676],

     is , 9686718042016699510454676185314124479558411795597597185734939868635\
    836428908630858382308416777413670268975595321834191124060718147832386046\
    723859073408769606292051710547504276179657408543650192588712132440243219\

             /
    648613  /  6631442275280728118255423146228831340551958874271891936509389\
           /
    986783034038486893979434596689676034256272308625035747742422531605372762\
    532955919998443029641978947365526243282858690601524963522573671678875430\

    4521749297911413, and in floating point, 0.0001460725682,

    and this happens with the pairs of cells,

    {[[1, 250], [2, 224]], [[1, 453], [2, 427]]}

The minimal sorting probability of Standard Young tableaux of shape, [677, 677],

     is , 1040163545736326955963434896226578433176624189407068496492316282460\
    469854042327402536629397808706672934553996634320046014821834294602250093\

                                                                         /
    551165392819915603983344794632331262696886296059122156650909657239  /  6\
                                                                       /
    085810903128139443058832513226996547195054422253462771892883904520507384\
    046015007723459253209746347255695894628721061067706102233431327248020821\

    6581765122091908954848601800910127621945472279517236788703628761,

    and in floating point, 0.00001709161790,

    and this happens with the pairs of cells,

    {[[1, 217], [2, 192]], [[1, 486], [2, 461]]}

The minimal sorting probability of Standard Young tableaux of shape, [678, 678],

     is , 8452232792657607330323073781831429004170766636927568566568644540539\
    659759990804448880411662612433059813456323079867743043560470498829174580\
    406648241096381622985016692380683231139972211480907257603985458320717711\

                                                 /
    243377570456597083205062517759044951862677  /  4443544790397908786571241\
                                               /
    866244980706155429141060921573910385576176252559968295900693198704393541\
    183886549346951315811767594332670607756432502447983761286622212138831985\
    756148869427215533953286035960080419756605617668886549117144146615711107\

    40641682280369367, and in floating point, 0.00001902137413,

    and this happens with the pairs of cells,

    {[[1, 300], [2, 273]], [[1, 406], [2, 379]]}

The minimal sorting probability of Standard Young tableaux of shape, [679, 679],

     is , 5052606026645766117272102196439365919061532833397505877216793110146\
    691946624464655241810670284624516316591186367728312218846397608887423025\
    662433126351901758712777724426893926260552109451127081545972080066819909\

                                                /
    51463861302563455602202830572420294815171  /  62107995799716641235430318\
                                              /
    333792614698487573763240326954274766630163631714931708904225140722146064\
    831959393667680398893829145691711163050517823288210132341606522906164985\
    155829178779378492358508761830857201172378391814170318028698364387321704\

    53695686256751, and in floating point, 0.00008135194127,

    and this happens with the pairs of cells,

    {[[1, 299], [2, 272]], [[1, 408], [2, 381]]}

The minimal sorting probability of Standard Young tableaux of shape, [680, 680],

     is , 6091008907251275297182246223593349374429974679625900695179910992480\
    018721790634121644041413427155886367847965334230454443008921268775239246\

                         /
    464237463205389787  /  6579063213931770711208210430057417611318820296666\
                       /
    610140309713968797338567306257102377789327147557977098448955661707547768\

    6024268864526461013654048944099249552227, and in floating point,

    0.00009258170516, and this happens with the pairs of cells,

    {[[1, 152], [2, 130]], [[1, 551], [2, 529]]}

The minimal sorting probability of Standard Young tableaux of shape, [681, 681],

     is , 3101470125449273403197424962231534345038194716248207439375971751323\
    083810335395094101558011826163665471014704121583584016387202840769469346\
    722095906615532133136770526940185620407111748064704557191616056163443079\

          /
    237  /  3294277342298915918525140907996326844181725017009914814968720892\
        /
    082208760283281144964732471999984381347423894188238610401666141520463783\
    490130566711388998998383542623347811634577421824069791817607401634696712\

    2344611237, and in floating point, 0.00009414720751,

    and this happens with the pairs of cells,

    {[[1, 248], [2, 222]], [[1, 460], [2, 434]]}

The minimal sorting probability of Standard Young tableaux of shape, [682, 682],

     is , 4791441082512202583256458490792670137685349874671564928142945620676\
    279169370662284363209921521275919920832022091209025204123826408024391554\

                                                 /
    091397312976382138375503271247395566849601  /  2590147239681107289611137\
                                               /
    191102900698021989489803614287419906683779117790635578128274603444012745\
    731560625106684286419767224471694637811638057096584921058445807720689930\

    58340578412757586, and in floating point, 0.00001849872088,

    and this happens with the pairs of cells,

    {[[1, 170], [2, 147]], [[1, 536], [2, 513]]}

The minimal sorting probability of Standard Young tableaux of shape, [683, 683],

     is , 1570197577241779999769722646951768873715468494269833762134983013206\
    466880563834517177999349922269917347135701056525074972075828342601736251\
    228079329623151387863543309497353290980444678232280877070372152756197831\

                                             /
    62701799007733509582749901175282512049  /  95068793548089896954331127632\
                                           /
    403471389174044222974490400194820184690071257420895111584371060179973118\
    369855310938905435719738453538954247478575278348704582633641021832971799\
    047070964759497263305415492442797922046821707190376757725014897563977873\

    8030269, and in floating point, 0.0001651643530,

    and this happens with the pairs of cells,

    {[[1, 295], [2, 268]], [[1, 416], [2, 389]]}

The minimal sorting probability of Standard Young tableaux of shape, [684, 684],

     is , 2213160053914856825786251513058077770020158688633079500124811628352\
    866527167733597884676735856086067286460145237152894287422705630248071609\
    471151205766744969371203707564922801144559950249917400084153224181303902\

                                           /
    227866565155140909148319916066712273  /  2060519744101709012645600219966\
                                         /
    316459054096469895928848077029366784597158898612097755479304898701832106\
    857227728329719373862511550280643343267308358876173906552730682019826057\
    892629081927236906637011909900029481663605678191958710185273183712922793\

    1813, and in floating point, 0.0001074078548,

    and this happens with the pairs of cells,

    {[[1, 294], [2, 267]], [[1, 418], [2, 391]]}

The minimal sorting probability of Standard Young tableaux of shape, [685, 685],

     is , 1969210901102171470571902806809670259750968413160147659598939174796\
    892095151035798218649635303848579212511591788145200456955221371700925641\
    501950775942848260230825928642436400775391459149203493246636776743574106\

                                           /
    188213570140042812499737692349597641  /  1068280460678513624565308374655\
                                         /
    072402461691647136522985190833069219901378089106243115281790311007699541\
    949775542581498154076902580852817122025435016148800769582897317823986240\
    770544627359933198749941846918791902378862214924772433169445080733877392\

    05946, and in floating point, 0.00001843346362,

    and this happens with the pairs of cells,

    {[[1, 293], [2, 266]], [[1, 420], [2, 393]]}

The minimal sorting probability of Standard Young tableaux of shape, [686, 686],

     is , 5401521490653634106906688769873902632900617967292505471058302432615\
    529045326274444788109938044953050391882758930005419027944503873795067059\

                                                                             /
    6402332904975242545424841143255157351416825756758347399090566863201311  /
                                                                           /
    712799358404865324378283064603453231605587865131641905364378706564272402\
    419984497078764635943828824941591482874803271437676372434270294500048599\

    314953230644259361698592452572931927201314535321046144383210954812689,

    and in floating point, 0.00007577898923,

    and this happens with the pairs of cells,

    {[[1, 215], [2, 190]], [[1, 497], [2, 472]]}

The minimal sorting probability of Standard Young tableaux of shape, [687, 687],

     is , 6242532380670922058466245485333310685931867542368829515140845106802\
    975847006228652806358678061066483287593489337607041234860774260273058828\
    148411403091001986385712056755384399978250154378831000527346199968729147\

                                              /
    941159204760162725701139072184766716821  /  2470549087484730989596381206\
                                            /
    300324944890554295805189527476821838237068622775245702431713154299950926\
    215819361163777498421059760599664009358144135831683251297429897026631633\
    114613468296136434549978347116992936078761676817715711363377297738919316\

    2574618349, and in floating point, 0.0002526779335,

    and this happens with the pairs of cells,

    {[[1, 291], [2, 264]], [[1, 424], [2, 397]]}

The minimal sorting probability of Standard Young tableaux of shape, [688, 688],

     is , 3507165022146243745026273158031063829363052495059484853335571818367\
    707057398776173886995064589492303337608335713201710101262829970920765582\

                                                                          /
    0727828227504441186495567613460054107633818562196890208153636088241  /
                                                                        /
    116412500493133210005782210431581225574372553030959178448550602256070744\
    850831286628533543312490108418874559570207403047766802350866184531009861\

    561262305687172761977145551758573102054527271857792033112443202769,

    and in floating point, 0.0003012704827,

    and this happens with the pairs of cells,

    {[[1, 190], [2, 166]], [[1, 523], [2, 499]]}

The minimal sorting probability of Standard Young tableaux of shape, [689, 689],

     is , 2773710697615738627853646768672384070852091353260860395597593656998\
    311110415395552467586375949357163272838528963972808546929198104459824168\
    21766800215021858322231846454507098103162513831623299771085118910584247

       /
      /  2875715289112389091289103347690485107735512066839058178124035365203\
     /
    271094528283552283654354138911682440566275485591358244377833138220890524\
    610989038930476927210884808032847396207564193919651688891590353013152917\

    753, and in floating point, 0.00009645289671,

    and this happens with the pairs of cells,

    {[[1, 245], [2, 219]], [[1, 471], [2, 445]]}

The minimal sorting probability of Standard Young tableaux of shape, [690, 690],

     is , 2295018235701047362680129261932286276091184909447403083234158317006\
    162441065992681574780544520850559283985454221520395243089786122021862117\
    438367115870992427604825805039976040722129801363011846470346987200150282\

                                           /
    390497926475052382923932296313195584  /  1102005412622452992371944489426\
                                         /
    656719698483902506662284129973977087998687008514577963445326191184095784\
    911050216255625072096159347162480163704004276832263207709575042184647874\
    719610215509958126954571879547153667635270052628177400452579560985918899\

    1391, and in floating point, 0.0002082583451,

    and this happens with the pairs of cells,

    {[[1, 289], [2, 262]], [[1, 429], [2, 402]]}

The minimal sorting probability of Standard Young tableaux of shape, [691, 691],

     is , 7193960743657818830438584081092072787409724893482698333237413340243\
    794421210069418367097946157317939880040402277415995411928497133143539272\

                                                                          /
    9850857652976548572367130441209606228924408977568419862936911699979  /
                                                                        /
    679461614996991377927609406464502951827320677828947128052982706754611720\
    779192530043357249807243477596840467942691185027284000733764902814514454\

    8941292494274005612238013598865465204853638439351034246669186760859,

    and in floating point, 0.00001058773680,

    and this happens with the pairs of cells,

    {[[1, 214], [2, 189]], [[1, 503], [2, 478]]}

The minimal sorting probability of Standard Young tableaux of shape, [692, 692],

     is , 3160513794377506209570605444333054299659349077407583623239913968876\
    740968272211248906226399144262506627216878515977337518179892367249780498\

               /
    79368761  /  19848255691801655342052539044378615901353121041469977580963\
             /
    589888916291142470645613403518641061803062558595890199045105041785914250\

    972434476850345158339, and in floating point, 0.00001592338311,

    and this happens with the pairs of cells,

    {[[1, 121], [2, 101]], [[1, 592], [2, 572]]}

The minimal sorting probability of Standard Young tableaux of shape, [693, 693],

     is , 2092764106250683634598793971690732393876645212806233228952008612142\
    855884659723744955610614328396099912395242460369928385860196484530295352\

                   /
    984214653099  /  9179008993814179262112391586476090125401299792195341177\
                 /
    174118889701275190878281016227765425452070666952259154320247670401577500\

    507661084687485215630242499, and in floating point, 0.0002279945589,

    and this happens with the pairs of cells,

    {[[1, 121], [2, 101]], [[1, 593], [2, 573]]}

The minimal sorting probability of Standard Young tableaux of shape, [694, 694],

     is , 7807206029451643990248171828898905313168720642829487409161511994125\
    956365879879875839292159912628908778626776037863224609775211895445924144\

                         /
    696251002774613839  /  8054970404581731929672694127727780278279132243360\
                       /
    886469802014368107241946520108598646487357596305466977662813141668582551\

    08406766548361880010896443971727006548641, and in floating point,

                   -5
    0.9692408088 10  , and this happens with the pairs of cells,

    {[[1, 151], [2, 129]], [[1, 566], [2, 544]]}

The minimal sorting probability of Standard Young tableaux of shape, [695, 695],

     is , 8484193260872698222094885449794224123585918672727156699388130267060\

                                                                          /
    4316030148705917354479586905864693245569124475780251353446818065327  /
                                                                        /
    907533406957852587672147227503109139008909402355399411020802452268214491\

    568635090234660382857866738312263371841160141779802837786149271133,

    and in floating point, 0.00009348629148,

    and this happens with the pairs of cells,

    {[[1, 108], [2, 89]], [[1, 607], [2, 588]]}

The minimal sorting probability of Standard Young tableaux of shape, [696, 696],

     is , 4707151213765548525067918522802318032376244504216665672552644806821\
    237602864264019483425169779196409623361939875135903005717007952600899695\

                                                                           /
    73238603162268068344147904726632357095635941422577118877439276872989  /
                                                                         /
    399215531373936505222294471990192089836083487471097203371722018031007908\
    970619084390431192354006557011207907282178151016990382273431884740098518\

    54578716891902467917514285481770497800248465343251690194071002711731,

    and in floating point, 0.00001179100221,

    and this happens with the pairs of cells,

    {[[1, 213], [2, 188]], [[1, 509], [2, 484]]}

The minimal sorting probability of Standard Young tableaux of shape, [697, 697],

     is , 4545420529525859558986125607049133748038194427135944295743405847292\
    421942116088363301191628751176810744886277712940138207297174282168458671\

                          /
    3428675938586930779  /  842673366523493201671824593136781958009355357338\
                        /
    197603596580640984793515084850956993177444163681396841906569364027935051\

    103136230173019966456302042550093132742084, and in floating point,

    0.00005394047931, and this happens with the pairs of cells,

    {[[1, 135], [2, 114]], [[1, 584], [2, 563]]}

The minimal sorting probability of Standard Young tableaux of shape, [698, 698],

     is , 2523038610693006876400608972705710421890915432420337214156496286453\
    555185747313899589624282145670780497213818599146505024306077172186054255\
    518433094140919964276060056264865220068136712629251522369923123547569093\

                                   /
    2787804667689499977588477197  /  165218846250885529012698450909800510031\
                                 /
    998597801151753459668719154329435149865324659338970445810931499455903159\
    483491770563148262895354775783157617717763472160407337456750326294227901\

    056026419132055614968771767795189961727508768678077126649135,

    and in floating point, 0.0001527088869,

    and this happens with the pairs of cells,

    {[[1, 283], [2, 256]], [[1, 443], [2, 416]]}

The minimal sorting probability of Standard Young tableaux of shape, [699, 699],

     is , 1267306386010039346038172299742963995283535413233275231843090470500\
    767948415853395638163158488302147339190402928304822552014352790977494289\
    52939302115636324812077585581465372100635609908176277673075588988954823

       /
      /  3095382137160594107538998840157809073364832414417412854892220126996\
     /
    079805771374297122877419570525723718902406897172672050404283525002815529\
    055314309922568299253038674265996363085723794991501013382758882449963152\

    23, and in floating point, 0.0004094183948,

    and this happens with the pairs of cells,

    {[[1, 242], [2, 216]], [[1, 484], [2, 458]]}

The minimal sorting probability of Standard Young tableaux of shape, [700, 700],

     is , 2936031474530363725730933327065750754832574345900453699172564923324\
    412206887947656958690911230092078103423806205672768831937895849514406994\
    799934251170049864334870067092280538352876780970409929153199076435212979\

                                     /
    320797296103487538210395910483  /  1559382919040011980571385126985367001\
                                   /
    464803851560593535143907649389581652035261594694936311247699856606668123\
    757208283184350102025074216312698415845306139341395064947842821686941343\

    6561919021172302670334300826346533494786131430760525511954871247,

    and in floating point, 0.0001882816234,

    and this happens with the pairs of cells,

    {[[1, 282], [2, 255]], [[1, 446], [2, 419]]}

The minimal sorting probability of Standard Young tableaux of shape, [701, 701],

     is , 1393271849167364525304566225534898925754927752573233964292954809994\
    579935170541430712019150597026382267118954505047537114609912238793780531\
    71320753066480054107276152802763768183210721158935991635622831963317337

       /
      /  9909388645680260365319236386725860664585501585807870949047840200722\
     /
    614378878929530046311672251769755520251716590105209438026834263735506126\
    052395271702634828875261881350343099265213362490962087108872483671859389\

    73, and in floating point, 0.0001406011914,

    and this happens with the pairs of cells,

    {[[1, 212], [2, 187]], [[1, 515], [2, 490]]}

The minimal sorting probability of Standard Young tableaux of shape, [702, 702],

     is , 3927494954049350484966223119947133904604949754702674773715621044190\
    707207007854831556005486980194050322170618101090860422165494592495019640\

                                                                             /
    7455422639603095224168761862956523305597655059929713241786360530698747  /
                                                                           /
    170818403964690711059643010405257313167974445026928202001380908688957963\
    265441447604194561933805409582659006036532720634550024358166961250771630\

    004971672898814009015499309633176557380095006499182827596101418413347,

    and in floating point, 0.0002299222369,

    and this happens with the pairs of cells,

    {[[1, 241], [2, 215]], [[1, 488], [2, 462]]}

The minimal sorting probability of Standard Young tableaux of shape, [703, 703],

     is , 8433214309318677275234391833554595171647426166446586523563425827875\
    584068357010265306952536019208418833470036898814272533193059464270023981\
    578071295661644009097373573467477454916376462423629260471476223395993643\

                                /
    9238743087242672036913077  /  202827852536133788221527721425012507304147\
                              /
    841140209193280660303104846041831952039103581833470142791600027041283400\
    463519370182620565630854880008888895744338966105079568817521150554468496\

    0148934228099558484528248629202569885502968776016512055,

    and in floating point, 0.00004157818664,

    and this happens with the pairs of cells,

    {[[1, 280], [2, 253]], [[1, 451], [2, 424]]}

The minimal sorting probability of Standard Young tableaux of shape, [704, 704],

     is , 1547722138199009223605744807665524937895122596785406683144021688954\
    330556421742087345787187881126443582861838050617731807934077266296322998\

                                                                           /
    04040845653053805660192977401280954592172580865050075728875126155429  /
                                                                         /
    662175577325792631492575094331060460986288131767724239551402664650048836\
    141071115367841598254330280913136962032660340336684542501438174605557778\

    39699254587101923759653768044749955611745647975040769034183949803283,

                                          -5
    and in floating point, 0.2337328937 10  ,

    and this happens with the pairs of cells,

    {[[1, 188], [2, 164]], [[1, 541], [2, 517]]}

The minimal sorting probability of Standard Young tableaux of shape, [705, 705],

     is , 1360083931840124435319406616113959395712885624831691006011697160765\
    436827278014609101865954032655999770106510973722242238091855952486590627\

                                                                      /
    450338942130122287539415902793110689447979946943110614123037409  /  9933\
                                                                    /
    485330651702226036900209394770367347985693157324818015763595263427087561\
    747155032030485417491957923848912580177746768628862356172959422879190047\

    9430494658264484457172770970293242368716715404498154879391,

    and in floating point, 0.00001369191061,

    and this happens with the pairs of cells,

    {[[1, 240], [2, 214]], [[1, 492], [2, 466]]}

The minimal sorting probability of Standard Young tableaux of shape, [706, 706],

     is , 6441108835970830532932095186550846764813909187129166747924175108610\
    132195715118706451452811817181030331897699191931844162799729627630152262\

                                                                            /
    354265784962050685650636781245035054843033764953755498247747856344207  /
                                                                          /
    172386245216988375224040531386232364408366776543084295098299950802345009\
    296178723830311455647783894512178073938551791150526423274713066775581038\

    37260359282782821515985138643478791455356207553427691922787805682703,

    and in floating point, 0.0003736440125,

    and this happens with the pairs of cells,

    {[[1, 211], [2, 186]], [[1, 521], [2, 496]]}

The minimal sorting probability of Standard Young tableaux of shape, [707, 707],

     is , 3152049320056345928881987056309083166901402378828026275386100776820\
    620537958707113469677226494135263057118042140998627438816771840322197565\
    36082310862977452959641992654945846292266387893247734425920935108197001

       /
      /  2706464049906717491017436342763848121211358391726423433043309227596\
     /
    816645950005964135889853670207143841195760835263121063264845412995148376\
    622302449876407396902978009666767026170258490924585888147631877685492184\

    371, and in floating point, 0.0001164637424,

    and this happens with the pairs of cells,

    {[[1, 211], [2, 186]], [[1, 522], [2, 497]]}

The minimal sorting probability of Standard Young tableaux of shape, [708, 708],

     is , 1039099928630186475935593311757031936893777990692990737240895607535\

                                                                      /
    551077954133541890887801163922907183661429288132768869912848249  /  6264\
                                                                    /
    825780396539547779714074028663475292453475113730095764125423090183721395\

    022211466404583600645014114833690965892845792578344354863,

    and in floating point, 0.0001658625419,

    and this happens with the pairs of cells,

    {[[1, 96], [2, 78]], [[1, 631], [2, 613]]}

The minimal sorting probability of Standard Young tableaux of shape, [709, 709],

     is , 1970926564938517783174724734227068992461067079412619983813773732841\

                                                                  /
    97003709777095509581790093842081434743839147747534576245913  /  22294753\
                                                                /
    666891599814162683537468553292855706317130712084569841363310262353718940\

    254328841934521868377632860110198906924528748556423, and in floating point,

                   -5
    0.8840315504 10  , and this happens with the pairs of cells,

    {[[1, 96], [2, 78]], [[1, 632], [2, 614]]}

The minimal sorting probability of Standard Young tableaux of shape, [710, 710],

     is , 6778693462359279827259809714353935324944873693034735667100401198792\
    501921490930296763958101885792698911097260500747071439396707513355567199\
    295328357907364293168313135358457772376046659938616558554500005936805666\
    138874346079823987056440893140044589270085070857732428961706046759472583\

                                       /
    37778682304122186779303527086539  /  15082485283457386824992181667753544\
                                     /
    144513024282963218597195507604764396379775073323214445013331841720635637\
    701154182203254857763296666111658913610163710914424440449389132968461991\
    407045237235110315764588307625807537233727346765756113946922583231184669\

    722958087907945121924363647992449278185618923171021209009639542928261,

    and in floating point, 0.00004494414107,

    and this happens with the pairs of cells,

    {[[1, 361], [2, 333]], [[1, 378], [2, 350]]}

The minimal sorting probability of Standard Young tableaux of shape, [711, 711],

     is , 8922509424912534616764627322740083924452734422981441708896342461452\
    185693145717907957713248027809702743560075985220244995302820183802066545\
    815046710744404213750600553562025405203226844300968603432047224612495982\
    009571308433732260654781001808845287651155025824019689397408611300919461\

                           /
    94117337855864160567  /  10347883891290930376836719952418152133961205667\
                         /
    391844341728490136914019446138939089290498595710060332372194545417968675\
    192072147517679738548083901322683886939674855515494045107248186331329532\
    795020663010383312894328830994769758589772399123334450266021653710547574\

    393708726254844587625976228322464853337782583, and in floating point,

    0.00008622544975, and this happens with the pairs of cells,

    {[[1, 354], [2, 326]], [[1, 386], [2, 358]]}

The minimal sorting probability of Standard Young tableaux of shape, [712, 712],

     is , 8264392974141639566016581658238532110301897910828995384065454330963\
    375711740117384594423571620540234252164049913365203338435071033925075152\
    730521419677970161230287669855168568169702638131250321086680990739617343\
    098681938505451577645429199394363255445691047287188071248780300071139185\

                       /
    7241860379054333  /  619632603542597458574947375992759585328210140931362\
                     /
    348647676647902748622354266747565363633830200854921729141479911304448273\
    036087660520356476270329692268283678577615508680593308119076009788521871\
    971284324063607993886624218742547291382709086118411479023247100854115497\

    6517241051637687625340183449994456133, and in floating point,

    0.00001333756960, and this happens with the pairs of cells,

    {[[1, 350], [2, 322]], [[1, 391], [2, 363]]}

The minimal sorting probability of Standard Young tableaux of shape, [713, 713],

     is , 5123561919299496936252218267751094958730289784400833974767867117197\
    430540981767753789774126988195273894564106921121214803522778718069192148\
    935761638690272293798118986867203896009274677037198607960739127951566669\
    840079371661012264664326519359768612049410231624948831957574614249607779\

                   /
    124603616967  /  3041617881042888028334219641937218760262832898955752901\
                 /
    186256393158922035489850771655263933633869159939014584360625528954969497\
    092167397464645948219493314343783083562242784405908289065710226798569085\
    444834299947202716410937420648265533404880358004265858712435789371717167\

    1574959152439185635657507333, and in floating point, 0.0001684485731,

    and this happens with the pairs of cells,

    {[[1, 346], [2, 318]], [[1, 396], [2, 368]]}

The minimal sorting probability of Standard Young tableaux of shape, [714, 714],

     is , 1817696212777769133753305236368677535554153711128298863432379493120\
    270660604234273981090462498079498170272355156496149051641528664145985434\
    506625239261458144168612336764254204002531691173716913825622878889468430\
    836067270069236186927705420172272802782892812876361652215506993468300576\

                     /
    93888952013841  /  10723977322329755931368751255116230461249179244393670\
                   /
    794520542209066040721487168266825639926217827637636736336250928474194549\
    801646285389786598906901836441066708809443834670168711500837269360102679\
    273558620594859363751631956604165984838388364258331555296133975495089124\

    51926413351755635422808299084941, and in floating point, 0.0001694983268,

    and this happens with the pairs of cells,

    {[[1, 344], [2, 316]], [[1, 399], [2, 371]]}

The minimal sorting probability of Standard Young tableaux of shape, [715, 715],

     is , 5620953496970122163755390088933084762132951870232452395794606145519\
    676080013996468150022976124726521742964770083568024463632113784078765806\
    426600734979106204840122485573196458310626187368977313989261420693529614\
    001466831520379322451858134112928951243252857340712416646785579638464552\

             /
    632371  /  1135668783261097566149149888066437103166408890799202727442680\
           /
    888126077065821835250666841913738974709658722528988298608511140267390296\
    837059180208438419680507185084080217635300771570702453518509242196332618\
    374579208166647750975928788956956854590390865671770021559228468023267894\

                                                              -5
    258130161611261529, and in floating point, 0.4949465531 10  ,

    and this happens with the pairs of cells,

    {[[1, 341], [2, 313]], [[1, 403], [2, 375]]}

The minimal sorting probability of Standard Young tableaux of shape, [716, 716],

     is , 2427407218300960991674883231587344360395377024111920630916203961695\
    477349898869073830917333360883664566873997013492077335316930343153582481\

                                                                          /
    5071933866078735492664586514378013593046397927310178846009630021937  /
                                                                        /
    261936707427569035444539538425918468659346639796431890722264560921460256\
    613875993505257925720978153996198253716398189599312958636449566618733991\

    1033589564369840406676317968627742312244303958579915009939824346321,

                                          -5
    and in floating point, 0.9267151756 10  ,

    and this happens with the pairs of cells,

    {[[1, 237], [2, 211]], [[1, 506], [2, 480]]}

The minimal sorting probability of Standard Young tableaux of shape, [717, 717],

     is , 2664758937434242512094810952221647759890606541592449853014875996948\
    474508954243605275844793587706498292110996421705952410737252539831401579\
    436911557410196833791019764364319312516155732506604430489844813691035937\
    293515805197295821522050820473754903888284120129953067499204245548635446\

                 /
    0583119077  /  149240428386605792464570956263533841873910663562936224906\
               /
    739220838954742565066248890169622721823227037545283182841139079040507313\
    112683630998445440005120221314802595251899791660942057291182507103000479\
    602728193329014028171655880450494461487845032343681524570345182023400073\

    656239022633962922335057, and in floating point, 0.0001785547634,

    and this happens with the pairs of cells,

    {[[1, 337], [2, 309]], [[1, 409], [2, 381]]}

The minimal sorting probability of Standard Young tableaux of shape, [718, 718],

     is , 1890015643208670335242504523749078811737192431531466439595298447348\
    837153312572231911185591296250017975628073379049160518886625674647537713\

                                 /
    08772440071097902561408599  /  13320879060659330889419002486728540916766\
                               /
    412820984345624510120981634725744009733203584294430972448268186435086745\

    63217394097371996938192836548497032327286689527310178514,

    and in floating point, 0.0001418837026,

    and this happens with the pairs of cells,

    {[[1, 134], [2, 113]], [[1, 606], [2, 585]]}

The minimal sorting probability of Standard Young tableaux of shape, [719, 719],

     is , 7288167067292409244587613353871980914630853604692355766374789444479\
    597728564540093984296411992751164274228624311171449185821250107159797552\
    521515718087812353783315227426889799991969720755227065116063274984636565\
    215434140612867261918419488687572587548121910636971587212836970299984452\

           /
    9677  /  273533562211158395477582335983508432882715264307456460064883318\
         /
    041798109497073684978157111982082394102717564089383408868283280819271719\
    493199553395189239746154368632737753004330300231645811801548673777857132\
    927246095036829812353706147629955776917888975723722610805519921915087357\

    8978915944777, and in floating point, 0.00002664450756,

    and this happens with the pairs of cells,

    {[[1, 333], [2, 305]], [[1, 415], [2, 387]]}

The minimal sorting probability of Standard Young tableaux of shape, [720, 720],

     is , 3438853745185063021840874192681369167838588919908173034938755880085\
    824500622950905821907834546613230372035926243514774287860671886503823583\
    195966294456695370528096401132534148491704650898384657952814656772259593

       /
      /  6740628642261265062216038455392897330659408241936969534685574843909\
     /
    464884181617961764633129898822623011701999503401204736230306941323741980\
    374781614689201613777393501229410724630793122217974871911466700168499293\

    3097, and in floating point, 0.00005101681056,

    and this happens with the pairs of cells,

    {[[1, 236], [2, 210]], [[1, 511], [2, 485]]}

The minimal sorting probability of Standard Young tableaux of shape, [721, 721],

     is , 1530731347578152040194292829979814506168102909010637635947038421951\
    738081594100052438099779250355504485672934313262005182834487221963684482\

                                                                    /
    2401105338086189516964550608077651342384170084699177745399133  /  111183\
                                                                  /
    939449644084341455992891425608803145017066160145667933829212338531511700\
    149492902486401188009539573119639483765122614054493320668017378641530377\

    258729864351299785486010795345238172934792828632798151881,

                                          -6
    and in floating point, 0.1376755811 10  ,

    and this happens with the pairs of cells,

    {[[1, 186], [2, 162]], [[1, 560], [2, 536]]}

The minimal sorting probability of Standard Young tableaux of shape, [722, 722],

     is , 3968702664102920561867663107387085397812531655869936137550536044704\
    034466482880069257072694424785389953824306599119692164152387715699361873\
    458771487335576068253902612290246211245920797327840234552872944226239471\

                                                                            /
    105949573786392092428842793910761520290964461778920141742656838963069  /
                                                                          /
    251079944059071314943499145349172179010963280398852828827979999308744381\
    341370357224006286635290131786948248203467861985583669150228182246688961\
    209787455628672218332168453381989752865743510714108665909632597645431429\

    22311734885092016282712137700215776843202511756076214341251795615681,

    and in floating point, 0.0001580652998,

    and this happens with the pairs of cells,

    {[[1, 328], [2, 300]], [[1, 423], [2, 395]]}

The minimal sorting probability of Standard Young tableaux of shape, [723, 723],

     is , 9328702074062724616814050202848458591769084512385041146538361055399\
    962075985459693078002820067147688985386076898252348071589180531666159883\
    352397618260593949277448719766288323278166305006832464258158086772504711\

                               /
    941671550712539589429877  /  6712756573791226123841483561542324600014595\
                             /
    901684196099629752575505951116909763090768893387972111810646344083431370\
    451438477991395984292482615889086083930142215991412426590512663218261246\

    45783590623401914135177348552675346669839302354736503,

    and in floating point, 0.00001389697656,

    and this happens with the pairs of cells,

    {[[1, 270], [2, 243]], [[1, 481], [2, 454]]}

The minimal sorting probability of Standard Young tableaux of shape, [724, 724],

     is , 1819447553884369457011921518217124299982018965799206574110041316042\
    216638110389171547521751359359205519556409188413749253476236086829836012\

                                                                             /
    4168236522320011568671412183184140882936990692328509594202463285650221  /
                                                                           /
    146015503905029275064396288042538397842245598378460679301936058910118350\
    385646509538667107875321431989968903625524656705239977456909466528624714\

    5765124519039976030838227961095007523712607884794631041230429170867441,

    and in floating point, 0.00001246064634,

    and this happens with the pairs of cells,

    {[[1, 235], [2, 209]], [[1, 516], [2, 490]]}

The minimal sorting probability of Standard Young tableaux of shape, [725, 725],

     is , 6038027666298529864980662035720954267223258593080351371203863975614\
    883376598223007710316146742284618404149174982880154882693155764826523257\

                                                                          /
    4124956231163133847124540449076167240606253500766818687250405716847  /
                                                                        /
    432229361556125349566918861795727192786711052838595376835068005283195034\
    304796970913196984120032902705323623047408705660919767514070102273110954\

    469044664249411818313947111246562968905363927378985855658130817377,

    and in floating point, 0.0001396949907,

    and this happens with the pairs of cells,

    {[[1, 208], [2, 183]], [[1, 543], [2, 518]]}

The minimal sorting probability of Standard Young tableaux of shape, [726, 726],

     is , 1960679415566023751947048799245375610879710174087012223238636046728\
    767690508376186644322360696641023422721105579698726499896541826750440953\

                                   /
    8184709271502389837091504779  /  177146891862696614922050268966615382247\
                                 /
    255993233996991329864665494841387493080351844464815758474541880831613540\

    3597920685265856646798652209085411401295736723949255168170529,

    and in floating point, 0.00001106809945,

    and this happens with the pairs of cells,

    {[[1, 149], [2, 127]], [[1, 600], [2, 578]]}

The minimal sorting probability of Standard Young tableaux of shape, [727, 727],

     is , 3436659224670954063567009531302560226190588999217966742906918243678\
    135773842836488201866118916538821562878087491846983169830898938498266266\

                                                     /
    3201731220417660586047849456120310849962112739  /  351914600435688003409\
                                                   /
    941428134004978354433466961171417625476004378285833015749815841595855465\
    965380518214375252495524408447360600203274271921664109209366745376978603\

    527507357872739562303481, and in floating point, 0.00009765605691,

    and this happens with the pairs of cells,

    {[[1, 166], [2, 143]], [[1, 585], [2, 562]]}

The minimal sorting probability of Standard Young tableaux of shape, [728, 728],

     is , 1875734818317089954514178855250144779862015670346023601419297356337\
    840367201893266490932792709159193907249962208184969497922130702501786194\
    321140001314084015551805041087322515417099136373260444051332841287074856\

             /
    748132  /  1784841859528517684398482561020110328346932654503299974078335\
           /
    385051516494141912491369504626070874410811319196878970958948616708410150\
    594933015003202620141736425440778000630717846868853683974319232708437432\

    8658890064618503, and in floating point, 0.0001050924937,

    and this happens with the pairs of cells,

    {[[1, 234], [2, 208]], [[1, 521], [2, 495]]}

The minimal sorting probability of Standard Young tableaux of shape, [729, 729],

     is , 3072180776514110980543760380624404014221728894370520376561279225375\
    801701683304176782951850583242405495735148723299042577390475711965271947\
    703468704491935234702481760246822922540938486809421529580676698888382002\

                                                                      /
    050214779646805129482273312276542514900094391698220917501583175  /  8916\
                                                                    /
    514076320253938461163207133056397598038938105396452557044905728666124469\
    307567326949169152263115358028334975020614104550284704597630820421785657\
    611111524207504999878173623619851033617550587906429224044108320976377688\

    080927550393556448060581839602388563193124230721947884203,

    and in floating point, 0.0003445495347,

    and this happens with the pairs of cells,

    {[[1, 320], [2, 292]], [[1, 438], [2, 410]]}

The minimal sorting probability of Standard Young tableaux of shape, [730, 730],

     is , 4568567012273455243250960007465201103775420689085282325867896678286\
    387382888728408326297776177446885185186140786898218207763268531599800779\

                                                               /
    23255562728135370332213270570453163873120288029473568012  /  62061621321\
                                                             /
    949630945325161326846740131580864199282030448297489512632136430559858942\
    003431819817489301532259804683757069226909297981004992433581421936691188\

    07372048793586868125156480920637440501824437, and in floating point,

    0.00007361340092, and this happens with the pairs of cells,

    {[[1, 185], [2, 161]], [[1, 570], [2, 546]]}

The minimal sorting probability of Standard Young tableaux of shape, [731, 731],

     is , 9130147501587256048900420649504440829564564826338363897266312830233\
    246652506883518728617410290705436959986702928560149734338639516051387678\
    76420869199992199629338331414504850620716154186340161717805105281804977

       /
      /  9962479234202084744039693554537551373837154324780186886187299325999\
     /
    500108531789725348315861052919684867392541627152658209306724941155326528\
    391916617830772233012764205459652582224015316630621460296171638801431810\

    793, and in floating point, 0.00009164533533,

    and this happens with the pairs of cells,

    {[[1, 207], [2, 182]], [[1, 550], [2, 525]]}

The minimal sorting probability of Standard Young tableaux of shape, [732, 732],

     is , 2088577824758239565763207040680332725766535325017162763913861737873\

                                                  /
    9272736121183977447124175041392776887089049  /  105346758489091749900767\
                                                /
    852401591085144976594423587059912655521291041753623737161284425519518245\

    978473262273486833, and in floating point, 0.0001982574362,

    and this happens with the pairs of cells,

    {[[1, 85], [2, 68]], [[1, 665], [2, 648]]}

The minimal sorting probability of Standard Young tableaux of shape, [733, 733],

     is , 3677460282327976741246838160376386168514137255105486221363307871864\
    937152189654115852077980900504424296605163826523231610798135681977797806\
    998310519774981842209759559361000556772802288470186553936397886645444876\

                     /
    57831616840721  /  10204155218068132094643219640834825457819897470945400\
                   /
    776551669378313550486582396994836734587996901520016059794629214588202396\
    426102526635587219347456994031277342348381978159758946223236701114451168\

    426141100268758999248958737668761, and in floating point, 0.00003603885088,

    and this happens with the pairs of cells,

    {[[1, 266], [2, 239]], [[1, 495], [2, 468]]}

The minimal sorting probability of Standard Young tableaux of shape, [734, 734],

     is , 1068131594873098597349933463591308900218825767666196489192158025170\

                                                   /
    89839685159235228273363692399077189950127571  /  12909984890127099236888\
                                                 /
    775220164565301226599385065440840246720346807132012521097749798610243623\

    83226689446035924193, and in floating point, 0.00008273685864,

    and this happens with the pairs of cells,

    {[[1, 85], [2, 68]], [[1, 667], [2, 650]]}

The minimal sorting probability of Standard Young tableaux of shape, [735, 735],

     is , 6281871022032103556545138756249937734670909148273552601969361092656\
    658006160116158772514162382408661144310225457867620858750794024050834709

       /
      /  6234923193272156224582094179222808488530258814607455812436747821377\
     /
    543406963074606329921126132119819970348829849391504901471507089250515632\

    3599, and in floating point, 0.0001007529817,

    and this happens with the pairs of cells,

    {[[1, 107], [2, 88]], [[1, 648], [2, 629]]}

The minimal sorting probability of Standard Young tableaux of shape, [736, 736],

     is , 2000060046674368901300343729020864572993305187690201640735649265796\
    004307954987999825915507019968383993008596226452445361757891536498511660\
    690382562321413942185282401559088133570670069599607284983939266249273671\

                                                        /
    2473138365012558890297293787301403562521498811221  /  127330819281748077\
                                                      /
    246857938016187335649934694432049601011744695051113442652880971544968837\
    075666930549376679386874508350237970029388549139330814078955582300239255\
    301076573089968961657743123643460395333165481495901929874689287171919567\

    286941422411333350852219097241, and in floating point, 0.0001570758798,

    and this happens with the pairs of cells,

    {[[1, 313], [2, 285]], [[1, 452], [2, 424]]}

The minimal sorting probability of Standard Young tableaux of shape, [737, 737],

     is , 3835670495654088716458759116246277571739701894579752082090541431718\
    335475435998274267304202349922844363170532877702555375221486397512152670\
    213331668485920614609012333520726534298659809428098052674782513600966363\

                                                         /
    74711744695525900333156950032700512546664313685529  /  17569059277666182\
                                                       /
    255398757827292476627716979177025797733658526761904689448155155067313646\
    621089112879153587352323110823477728541728601203429227193643006181652547\
    628548351005340414866380318198773116936903360456934981248416783880678068\

    678029835048959450926191605790509, and in floating point, 0.00002183196286,

    and this happens with the pairs of cells,

    {[[1, 312], [2, 284]], [[1, 454], [2, 426]]}

The minimal sorting probability of Standard Young tableaux of shape, [738, 738],

     is , 7961779249254070023738424307034087881724965234413760690984065053094\
    688180002811997451656779834060810343313479218635771189760320802311397427\
    828648691566470319567501221373775601875574387840583352279628522620122372\

          /
    589  /  7669968380943645610691628592477319111929627622995609851956165073\
        /
    600756677917733004434667786403109048151980033025023040055415204473239563\
    117648095244708834251215294065502237293279152342288358285610538288793836\

    81964422721, and in floating point, 0.00001038045902,

    and this happens with the pairs of cells,

    {[[1, 206], [2, 181]], [[1, 558], [2, 533]]}

The minimal sorting probability of Standard Young tableaux of shape, [739, 739],

     is , 3665646787789765059061768819058262207199115283627704326239092182804\
    402657880683534748701730462364250331969865283838791948995397405274689667\

                                                           /
    6978714166873904849940301141614581405792852848849949  /  111688591977874\
                                                         /
    715442912127069477817127496229123184093588433411872365083188912169848371\
    635827474741028342482795809174297663945941301572468462881821444970810923\

    163182403171040949899428921153485081, and in floating point,

    0.0003282024353, and this happens with the pairs of cells,

    {[[1, 184], [2, 160]], [[1, 580], [2, 556]]}

The minimal sorting probability of Standard Young tableaux of shape, [740, 740],

     is , 2986133201131701411356555314543907453727277223358991143885186951014\
    086628162010283247380086056513667824384880917031160199823919552223556091\

                                                         /
    06514174238370792371824143287950631907218594387901  /  85460927898637645\
                                                       /
    061858883509626825770379700384494425173207623860121039907083190649149800\
    501233970707702691321331558169716475786220200569536242026963170277487380\

    79920031557223079375827739976431, and in floating point, 0.00003494150221,

    and this happens with the pairs of cells,

    {[[1, 184], [2, 160]], [[1, 581], [2, 557]]}

The minimal sorting probability of Standard Young tableaux of shape, [741, 741],

     is , 2514718194436774468952145759296301235421071719558171304583180852831\
    833004774030977920308971760720369151702165683584816061955187615493165259\

                                                 /
    976917643293544594312603090087454004137077  /  1929227591706230312060298\
                                               /
    583663075825351039773624984241463895923337273246237199568335948579463052\
    418914495272377870206112848393341058231137889739837292399468801912761556\

    5121677361116477, and in floating point, 0.0001303484465,

    and this happens with the pairs of cells,

    {[[1, 165], [2, 142]], [[1, 600], [2, 577]]}

The minimal sorting probability of Standard Young tableaux of shape, [742, 742],

     is , 2529495085352106692636036664391456519924517556323579081356317019289\
    787475779178208566526100126195280531497196936350890445877927837155275595\
    829514360007769064444115146662823503010681312237081216327970839932404827\

                                                       /
    776612521929186822178579995829798668923216050649  /  2997841987001894208\
                                                     /
    496476769611176021455569940110694386618309645579950446470648194005120263\
    007615203138268906200818990600965949455164726638167868900586242412685656\
    637833866770385949293037521750971533286269190553514249501033358337908377\

                                                                          -6
    404813666058682761114648699803, and in floating point, 0.8437719854 10  ,

    and this happens with the pairs of cells,

    {[[1, 308], [2, 280]], [[1, 463], [2, 435]]}

The minimal sorting probability of Standard Young tableaux of shape, [743, 743],

     is , 2606594043788881995197317096378721419235591654104597945308835933158\
    642616636515468110650148672837919228952024432419036906603721577833150629\

                               /
    682970005859516668700137  /  1287958654842278168354902596044779328769902\
                             /
    134211264552481838002958736342025431951413497181878232644820849957299362\

    4810394517569118172945181946986214934486459078201625, and in floating point,

    0.0002023818105, and this happens with the pairs of cells,

    {[[1, 133], [2, 112]], [[1, 632], [2, 611]]}

The minimal sorting probability of Standard Young tableaux of shape, [744, 744],

     is , 5259931019157188503214616698331415933807889906883678989779546787703\
    338966345588124578105159802818937204168924880807543859653370394667376910\

                                            /
    3059344301650311518377792335381991471  /  218028829982096915402436830944\
                                          /
    324693346476737015489901345360034070678089804237446545303265352182298179\
    079311586221226703203188732635419354984916372604022823206838097150323240\

                                                    -5
    04194661, and in floating point, 0.2412493348 10  ,

    and this happens with the pairs of cells,

    {[[1, 148], [2, 126]], [[1, 619], [2, 597]]}

The minimal sorting probability of Standard Young tableaux of shape, [745, 745],

     is , 1063128362636721354710541806777014628622058397726697132208083757394\
    842494023215901583207185193550217675667617844688277913170820967518753645\
    321541036845944910936382188382764482401102498808788584593656038171004519\

          /
    301  /  1646526574331425207352745731528510140088582964071191103182415485\
        /
    573711934058064127714947664477696758741132812091123207789014881187507589\
    000724063671592585161221094414728449985514551058467731756061672201763034\

    1527601049, and in floating point, 0.00006456794438,

    and this happens with the pairs of cells,

    {[[1, 205], [2, 180]], [[1, 566], [2, 541]]}

The minimal sorting probability of Standard Young tableaux of shape, [746, 746],

     is , 2737886743873368957721700255326496321252728644623938946763630790175\
    609608981705646900529295961485060492288822876878465882755361106113967350\
    260876207082619750659062479978917296002242866935820178349161772527185899\

                                                       /
    729684073810373026341412827142984478319328651153  /  1887742633463892680\
                                                     /
    347049471362909648029455540519909036247251095442246848941234238224908396\
    210423588786232513202668866823261852294703183084389166500861920010058197\
    710869839918318697453767565460834939698492665570232060169688320485885385\

    5007206717277459230443507187, and in floating point, 0.0001450349584,

    and this happens with the pairs of cells,

    {[[1, 305], [2, 277]], [[1, 470], [2, 442]]}

The minimal sorting probability of Standard Young tableaux of shape, [747, 747],

     is , 1281678805777048720429683769339096564346310293956364792562838388664\
    522025699364253587607666536900480871371615512976654813839604653149914081\
    534161753517379920164376605894312647493795607072673115792100728903424711\

              /
    6605711  /  103532124019896554165301206030608548340864694389848676453550\
            /
    103864328385641491623700773925724471362240359327464593167283133320633266\
    919161723770222295658061329998816690361251094673740786044097672556475817\

    238990399340313661, and in floating point, 0.0001237952778,

    and this happens with the pairs of cells,

    {[[1, 230], [2, 204]], [[1, 544], [2, 518]]}

The minimal sorting probability of Standard Young tableaux of shape, [748, 748],

     is , 2833717829526108248643249392173206488224565771413853133000562166733\
    922536932562756657370165604810240141051624835419416890009897878321081749\
    701984742437330275293322303945812112831316962740157267486986537179468754\

                                                         /
    70812182066470576922661691875262757503891807052649  /  11539596485352804\
                                                       /
    617191571601939252058707192935307232982367217712992449561602116609473803\
    323871449178724001623211900934896645855869779270531199757776642883270367\
    554598014683475707085538516553695251029369959988347330429158038520932698\

    53938945050732005240272086896309, and in floating point, 0.0002455647243,

    and this happens with the pairs of cells,

    {[[1, 304], [2, 276]], [[1, 473], [2, 445]]}

The minimal sorting probability of Standard Young tableaux of shape, [749, 749],

     is , 3598385129326099654245285606189371100369492352911926942512771948036\
    775399824969409741720740179337773948395897901666134850778010513880090521\
    389030297859535553814527309571763988628528683097456696744981358355939136\

                                                        /
    6659031838832059254915431921882933754663056024577  /  242344082880641054\
                                                      /
    528615159866624118316701657944972357518702178303323478279565669818111429\
    979019552937294049323166145858003552794653688706476774020771716699802060\
    722243398684527907237098334587941615741937135772691487794069797011970709\

    260300756029681187565302253523, and in floating point, 0.0001484824835,

    and this happens with the pairs of cells,

    {[[1, 303], [2, 275]], [[1, 475], [2, 447]]}

The minimal sorting probability of Standard Young tableaux of shape, [750, 750],

     is , 4117979540742361441418479011654460680043450709843257188421547881345\
    614752029665580795666241987929845811529597186310374562406118364258436169\

                                                                    /
    8705036280438609475785125990501548355571908438379871799190681  /  718992\
                                                                  /
    466719641334389826050428439183577696335662801645458766304026462883238708\
    236567935918758202878152361109060990544933135969442380063457767397060813\

    435229269525519547971375343926355670035031784798253969,

    and in floating point, 0.00005727430719,

    and this happens with the pairs of cells,

    {[[1, 183], [2, 159]], [[1, 592], [2, 568]]}

The minimal sorting probability of Standard Young tableaux of shape, [751, 751],

     is , 1641721751771975691254513502268323599688785658167165463929831513372\
    349079914098021272513824299745049864004922384896695357470591799998997189\
    094135430842353684363466664367443256359776574156492085608068152582249606\

                                                          /
    801963624532401970827233537773716046675621777713421  /  9818210276704890\
                                                        /
    290226868233515393333965832034040907132987420683153564701109971325874298\
    203744602969000102160416920341652630422680699442459694169111805495486575\
    378990347422381279268875956852630391405328750446574717302792179073539029\

    545437590088878164869199677784621, and in floating point, 0.0001672119160,

    and this happens with the pairs of cells,

    {[[1, 302], [2, 274]], [[1, 478], [2, 450]]}

The minimal sorting probability of Standard Young tableaux of shape, [752, 752],

     is , 1151143675898585899561250844321611386241846008759631134110829965321\
    175726613146630833716555576421799882747954219826286160430438069503344228\
    603747398648888284355128408279561388758718260623332005857618190389370178\

                 /
    7043128658  /  149666202623476448688082535962557877644651209498985427822\
               /
    438245701796298238724309763018180140270648497345323228836804752490235793\
    568384645566472822062913295386797537552830017215267190180562911315512435\

    938204778114268677336233, and in floating point, 0.00007691406982,

    and this happens with the pairs of cells,

    {[[1, 229], [2, 203]], [[1, 550], [2, 524]]}

The minimal sorting probability of Standard Young tableaux of shape, [753, 753],

     is , 4553401071534965790910763378849693365201388875739750334576355848980\
    215123849683602081128249471030658618186785003742197792247485004294126244\

                   /
    793202756041  /  4266949633635208412633674260946324046593570915081570391\
                 /
    091963672863419253233501187872598515092187410433746359388682411232470766\

    9247927289533161481218480731, and in floating point, 0.0001067132603,

    and this happens with the pairs of cells,

    {[[1, 119], [2, 99]], [[1, 655], [2, 635]]}

The minimal sorting probability of Standard Young tableaux of shape, [754, 754],

     is , 1792890291964848936686693650385660283743559828313804084261880991795\
    170703928379731306281693606975421496642914462522637645243089267008517042\
    393379380983819254151707959041388238023110154226765357542944607831831588\

                                                     /
    1243585573461415035015781077639220366156014687  /  413004521801457485728\
                                                   /
    179608230584973018489965184535522872220950446673309409811536386209902269\
    637402495904194923566187962159856982314599740140438405285863232892386934\
    750156791764261958409063620571244911449931827270248973103590370073421267\

    663304405372694078758663, and in floating point, 0.00004341091192,

    and this happens with the pairs of cells,

    {[[1, 300], [2, 272]], [[1, 483], [2, 455]]}

The minimal sorting probability of Standard Young tableaux of shape, [755, 755],

     is , 2089540028464911786109530621069876309367269812023639814321967538319\
    363361312070291376553305055723840046002756617115807488613829688676855444\

                                                /
    43462748022622964054207819527028740339504  /  35408806886152320787731682\
                                              /
    080296020030406670909395946060939573856733660918986201816222755571820761\
    557019264584163847015718677116263075485238183442821573858699449826987267\

    28288377854929, and in floating point, 0.00005901187338,

    and this happens with the pairs of cells,

    {[[1, 164], [2, 141]], [[1, 615], [2, 592]]}

The minimal sorting probability of Standard Young tableaux of shape, [756, 756],

     is , 2362309518874635151461648327574187871294849195623806211291541270830\
    820026672858873707507390569135609067115429321046693727112689670799185545\
    053806549994363474909530797972453521196554704717493987077963749009113097\

                                                            /
    84230596405640627111055622840583871961920174765865543  /  15022563937202\
                                                          /
    482928409067122582298046563071098154559567544330565932811272646918614048\
    853744933713938286676315385997733532709196686590730217457071047950487445\
    074595397318109041782830373485356959870688555001783621168346734517841465\

    79894425290062493598416235362703163693, and in floating point,

    0.0001572507548, and this happens with the pairs of cells,

    {[[1, 299], [2, 271]], [[1, 486], [2, 458]]}

The minimal sorting probability of Standard Young tableaux of shape, [757, 757],

     is , 1049671150270152850377744883385282385871293977011884252309904215485\
    435368187511176710859684412486016288007061846049411942927782411578496683\
    616696500054342270101709581420452176137315863699618419999921958973375143\

                    /
    2671759049653  /  527567200866887858472968788383661515253255271623161771\
                  /
    047494678117440086458508899845920809661192336850815867890505605934780129\
    204702448618433962800491601537892629910016737114619479153017384515572438\

    463690735888941784706384810717, and in floating point, 0.00001989644444,

    and this happens with the pairs of cells,

    {[[1, 258], [2, 231]], [[1, 527], [2, 500]]}

The minimal sorting probability of Standard Young tableaux of shape, [758, 758],

     is , 6899476518791496019740646219653296626864819889050845563000769001543\
    175157355626627057841005759909968115632312681432421858322925841112340228\
    736765060289617185872987728894927657751920661620675736832436334647279949\

                                                        /
    5037820642847328862414332710384818138666287798559  /  217540134104620540\
                                                      /
    516139194554830439510401564544227054132740227491245601350070819154860614\
    624253467768220166850691226415167371214443563566945439466333160329938454\
    415348007039457775491372511486183518674883649891439511824604189678614667\

    686052322494244673463922695759, and in floating point, 0.0003171587876,

    and this happens with the pairs of cells,

    {[[1, 298], [2, 270]], [[1, 489], [2, 461]]}

The minimal sorting probability of Standard Young tableaux of shape, [759, 759],

     is , 2167379720099334393763707101291645887352787984813771256759611135903\
    462022270715038459688370374251773559356865535519466831536904238471905310\
    250609947423183179352076518664072821652254903984371137604580465277971451\

                                                       /
    074250029712720774658629709475014918024180404339  /  8445944346139517312\
                                                     /
    798688560890583695576975748306821619004604844885715897117125192791020714\
    687700217653878461149606901743119344107462593889801951998244419945144610\
    039744239727111955069027203555918353589396690433643166327759725192804516\

    667298984561440627665414211, and in floating point, 0.0002566178075,

    and this happens with the pairs of cells,

    {[[1, 297], [2, 269]], [[1, 491], [2, 463]]}

The minimal sorting probability of Standard Young tableaux of shape, [760, 760],

     is , 1807162322919550631288124028625889541440779535001309664776226828388\
    125227335104848484236871440080648918016625123665855433030579366174935652\
    482579128336167204942565979110151855298573981203498862545733596027421959\
    489972772339408339698995520619302293797611411945339879827066729706635993\

                                                                     /
    66768681171322585211097567666288018986481435341383624125428033  /  53405\
                                                                   /
    657219301738404969179027563547663513139178261351229771157960941193325928\
    884582167507889129572129428807176056126292553969283959935731669077715353\
    914453004899558655918019344327421677744488851670966391906856303083530567\
    128479167904033700153276824598427991544096762524716504715868604425313405\

    06923791017745291793639021040794263356219042826580630767,

    and in floating point, 0.00003383840621,

    and this happens with the pairs of cells,

    {[[1, 385], [2, 356]], [[1, 405], [2, 376]]}

The minimal sorting probability of Standard Young tableaux of shape, [761, 761],

     is , 4227498366955929398219102431125431489607720645502817489632180138203\
    497274615885337000808617333436315418426514400775041232387812276765115291\

                                                                  /
    66466262462811982711304162316402144801899791924059843069659  /  60485239\
                                                                /
    420007258255760078904764607311891501952754337565511212236489303080663933\
    627055028282010987367788088348864545782939782828776275388319418590669390\

    463017428240929803111787321893576434267098256892991, and in floating point,

                   -5
    0.6989305833 10  , and this happens with the pairs of cells,

    {[[1, 182], [2, 158]], [[1, 604], [2, 580]]}

The minimal sorting probability of Standard Young tableaux of shape, [762, 762],

     is , 1665089463470523933633219515058580303858365041622429734344600340425\
    144962828369372555563264692215658511381987219104870767369748298582394884\
    123214291886141055252741013568678479436338038894026589244132537458833882\
    929194931507812014538026043375201848072205134087000190877185240846533948\

                                                                /
    873058884670248725609986705433339001311994426174829161976  /  3319397855\
                                                              /
    583207507528219022081577634937969712234866589547546084502957449012942757\
    083552488924436248865845602717171349878004111880490726209006310218000372\
    564856072925687987814150960748399686944040468354859309469136548855902367\
    993358901557708110187622762991415837795323326863161625212563653287683234\

    9234146951158881448628309062631055132655114149, and in floating point,

    0.00005016239499, and this happens with the pairs of cells,

    {[[1, 374], [2, 345]], [[1, 418], [2, 389]]}

The minimal sorting probability of Standard Young tableaux of shape, [763, 763],

     is , 2716927134920408050950571364569175252768289937896342011738667513127\
    005062311933375928738694533253769041929913912085123309968464843319981346\
    157116524183201647832732824766324066669147776284475945484560037783304846\
    628478941610315335024730171041043516505596729601732085532882444474805782\

                                                   /
    64204737334605965004755265347317921587818087  /  26054859306365955133305\
                                                 /
    683588163093465126121648128768855281270085225425643889678412782324688316\
    463407761880956635605383615744296745070212347666140366955287452386170353\
    764491238697004409689269598054576486817717872695227172719840595162456652\
    338001752993606942148162676159078544973535668155880792612694999143254210\

    54559375911622309587, and in floating point, 0.0001042771754,

    and this happens with the pairs of cells,

    {[[1, 371], [2, 342]], [[1, 422], [2, 393]]}

The minimal sorting probability of Standard Young tableaux of shape, [764, 764],

     is , 9121318183234494534279370991024161871170432712846214600894665014218\
    299203445301555636879087936297791158693606851697255894881614610910062353\
    883127251297618584837839880303112961919491651904985886443751318235258044\

                           /
    67621364995412864551  /  16098993678687222429857603992088671703688415594\
                         /
    203771414855069269469634893098719913229308177273132003409025314610829356\
    529755164919707181183031652818571388852615490273673762001628781317072268\

    225807445468871656841582953501064841635822617, and in floating point,

    0.00005665769156, and this happens with the pairs of cells,

    {[[1, 256], [2, 229]], [[1, 536], [2, 509]]}

The minimal sorting probability of Standard Young tableaux of shape, [765, 765],

     is , 5483814015779993747386084893870942407007051215327887663292686644940\

                                                              /
    6762905749889926011423649845532682658176995496962350421  /  753280204127\
                                                            /
    064034365803038833708808921900084343257449174822155036110822356195828529\

    4648057616927010189025095070415318892155289, and in floating point,

                   -5
    0.7279912555 10  , and this happens with the pairs of cells,

    {[[1, 95], [2, 77]], [[1, 689], [2, 671]]}

The minimal sorting probability of Standard Young tableaux of shape, [766, 766],

     is , 4086848050821872745337556086319006163438443191045007078008004932923\

                                         /
    2289483747145506917733638506786049  /  238319621784684968816031738598841\
                                       /
    230127008305544081401882087820887288023846771499844567359676600804703498\

    9, and in floating point, 0.00001714860077,

    and this happens with the pairs of cells,

    {[[1, 75], [2, 59]], [[1, 708], [2, 692]]}

The minimal sorting probability of Standard Young tableaux of shape, [767, 767],

     is , 6507480174843078662464895515238908138182492213775197016823003740155\

                                       /
    57767139382152494192504367612967  /  51032038926056738504503584282407115\
                                     /

    65888828812507096400044707085380899868239218412089236823910081471167,

    and in floating point, 0.0001275175422,

    and this happens with the pairs of cells,

    {[[1, 75], [2, 59]], [[1, 709], [2, 693]]}

The minimal sorting probability of Standard Young tableaux of shape, [768, 768],

     is , 1134720224250570034474744038691870010699198793832356596490208244102\
    292718334193038361607586235083280929469450428423776891801083922199344376\

                                     /
    459429731193390260227132840337  /  1720414225638151762869556532905169588\
                                   /
    153272401730804659204194511243641167062363855173317370198918682367129747\

    9758179988579423602377430546533950170935469617835593781462639675,

    and in floating point, 0.00006595622190,

    and this happens with the pairs of cells,

    {[[1, 132], [2, 111]], [[1, 658], [2, 637]]}

The minimal sorting probability of Standard Young tableaux of shape, [769, 769],

     is , 3423570828299028057343326422755418369315122357840348843470921936878\
    070888107368828200224436301589594350751316740450769792414318096466656708\
    629859750797309191324409248262473908836384903774180925803658000869874778\
    453899000190431226808026269931093056470233407872441085620365332253709455\

                          /
    8776689794430467329  /  281469456685518075068772714763964770569792300869\
                        /
    857729969858840128682911641615152712725400573685843258954683125070909149\
    562302354247743083248166638427748050857039657112549113792142929876827722\
    429009170298574583051524299038356011093173495353794299528568378635436588\

    020250925962929373248268433084174620567329, and in floating point,

    0.0001216320545, and this happens with the pairs of cells,

    {[[1, 357], [2, 328]], [[1, 442], [2, 413]]}

The minimal sorting probability of Standard Young tableaux of shape, [770, 770],

     is , 3023710906485649270517678863737994328204608695474656554556034886386\
    085981745542003072912998568170387970158084058946995184747827797833508242\

                                            /
    7299067540597701993179889405298510917  /  229173716387658581745204788437\
                                          /
    046114684875970629926008337210850252278616159237161786722415453620808782\
    610398385139717758797628282381123744493381728033531806491258812024214361\

    2947307, and in floating point, 0.00001319396899,

    and this happens with the pairs of cells,

    {[[1, 163], [2, 140]], [[1, 631], [2, 608]]}

The minimal sorting probability of Standard Young tableaux of shape, [771, 771],

     is , 1959212848870000054322627840602531022244565729631931008346723573513\

                  /
    08091410693  /  20219364283362986790857390736526009358862952311777648030\
                /

    50890034869895562188999707, and in floating point, 0.00009689784611,

    and this happens with the pairs of cells,

    {[[1, 58], [2, 44]], [[1, 728], [2, 714]]}

The minimal sorting probability of Standard Young tableaux of shape, [772, 772],

     is , 7687530748113450117951179467620230207610220393736786200298029096459\

                    /
    7980622177839  /  480625218401637311146675235856270013276042032100852951\
                  /

    8733211606941680664596884141361, and in floating point, 0.00001599485515,

    and this happens with the pairs of cells,

    {[[1, 58], [2, 44]], [[1, 729], [2, 715]]}

The minimal sorting probability of Standard Young tableaux of shape, [773, 773],

     is , 9625792958573479190311238425581098943854760724577515206143077135171\

                  /
    83476490587  /  14880037721412919849742267363971207841363530405599162596\
                /

    697249557094986577699331707, and in floating point, 0.00006468930482,

    and this happens with the pairs of cells,

    {[[1, 58], [2, 44]], [[1, 730], [2, 716]]}

The minimal sorting probability of Standard Young tableaux of shape, [774, 774],

     is , 5412923100963852769155706990348969715531307997621363491513282932905\
    923224710747582007182931352166333035415485066182660441121478169292927106\
    055640394098151437506985758241123458509985939553325406765290759487007568\
    302294022829207158246005983974125901366574766088634489909961312826730560\

                     /
    97912406011339  /  28010093649302190359841533046847677709164793789006246\
                   /
    964643509879535261159671564623569589128256708460146329142867676362477253\
    589709020968557712084432812904350749834919559676263179001518176202900504\
    297866096736768663286053333397003943497630103044957718115079495404901517\

    686470094226394988083872698358661, and in floating point, 0.00001932490183,

    and this happens with the pairs of cells,

    {[[1, 349], [2, 320]], [[1, 455], [2, 426]]}

The minimal sorting probability of Standard Young tableaux of shape, [775, 775],

     is , 9676961829393884151803925236058757056341974531220652803932221929555\
    528653534990351664437302614036825212590291804195594767028098212515042550\
    459246157308796255563256469755375217852103744283333007695391813563665315\
    408979403178768196118897781601185045373719995428377543487699367378399168\

                    /
    3775959991289  /  486027856746915397045551628422936133242212587755088369\
                  /
    826209499068565047425040133372815801479406082550360106220653103899580442\
    213802593076701799378596607067647349076912730483320240595690787471596206\
    565627706186957215419574838447930417121263159650764155133191926507919073\

    275315484466390637827917121289, and in floating point, 0.0001991030287,

    and this happens with the pairs of cells,

    {[[1, 348], [2, 319]], [[1, 457], [2, 428]]}

The minimal sorting probability of Standard Young tableaux of shape, [776, 776],

     is , 1889965981366514589755806971800684517463013366779575797585018255920\
    810544617327013474670256433022284472837338739927601789290186476321962119\
    633052949610403557765041120854542914850649065919866745666788147945090740\

                                  /
    226426175887738976806136384  /  8097557541015608775858349250890011930006\
                                /
    793224477702305338459104036379960054963931226371832357347365938667944223\
    264857106772904645947162668353148119026839671741144618582496941887604669\

    9498547200463796368450333115156010516741322729736328944951,

    and in floating point, 0.00002333995124,

    and this happens with the pairs of cells,

    {[[1, 289], [2, 261]], [[1, 516], [2, 488]]}

The minimal sorting probability of Standard Young tableaux of shape, [777, 777],

     is , 4155339470481520982959829597669062732504557866872167952786536111502\
    989397285559291294912615636415279872465671760660055052398075156042249053\
    073515750550788091518767865935369527172054557479107167344196858403344993\

                        /
    39845324357468687  /  44450954801360659198679327782213093779603715698632\
                      /
    417612567150029918892615289527308920469286150842428379220572971199628095\
    936826800609785759675722633675038723861925591495362861526341653243231863\

    97300279651094325358335762577235842313, and in floating point,

    0.00009348144464, and this happens with the pairs of cells,

    {[[1, 201], [2, 176]], [[1, 602], [2, 577]]}

The minimal sorting probability of Standard Young tableaux of shape, [778, 778],

     is , 7858217678113549597951964656520522010746461441371445415139323868991\
    801452516117410060045162749779911377495028127605845588994594925402327716\
    901228630877033710106170986206458242622383733734037179460297154733976754\
    185330174001303841614064011757261528836000379023260272295481158592591009\

                     /
    86863039162411  /  84887244893712587832449389644128275542092288158498423\
                   /
    435028534221921609604311729138406879287417323508607555212760521311446853\
    550652683474152843119219678930739823300645534071162766501067514013564849\
    945899292274021349581478222998184365427073318134889396246789164580412301\

                                                                             -5
    845343406368265357901569743567589, and in floating point, 0.9257241990 10  ,

    and this happens with the pairs of cells,

    {[[1, 344], [2, 315]], [[1, 464], [2, 435]]}

The minimal sorting probability of Standard Young tableaux of shape, [779, 779],

     is , 4688184369244738082788350477530440133439695327296661948094141744782\
    339468400731034511446543448484492029765566937653698109264050965710509707\
    249575819920311338328648100443596142243027623594214831696304925528989891\
    973861766540059737722769871165003171511124291736473084901436055433347911\

                     /
    59647463366917  /  49933673466889757548499640967134279730642522446175543\
                   /
    197075608365836240943712781846121693698480778534475032478094424300851090\
    323913343220089907717188046429846954882732667100683980294745596478567558\
    791705466043541970342046013528343744368866657726405527203993626223771942\

    26196670962839138700092337856917, and in floating point, 0.00009388823300,

    and this happens with the pairs of cells,

    {[[1, 343], [2, 314]], [[1, 466], [2, 437]]}

The minimal sorting probability of Standard Young tableaux of shape, [780, 780],

     is , 1228367179396571359916067039618479685640688476297148703639990069454\
    46458402767146365601162071784805866923703720515302984563403846544869527

       /
      /  3405467653805174711917329157219678002528576752834669511421220238921\
     /
    537748500160410210099235542290263117583400553093686659197805879029072369\

    753, and in floating point, 0.00003607044037,

    and this happens with the pairs of cells,

    {[[1, 106], [2, 87]], [[1, 694], [2, 675]]}

The minimal sorting probability of Standard Young tableaux of shape, [781, 781],

     is , 3980182471438388504498891452836980847839310682714088268382370826512\
    712237829546437804569083220809657494331410862732370287252214288024103693\
    215877800766250590216496438360346536437885638296642633670823356326301106\

                                         /
    2109985605373875833141857222664579  /  441691990357972469425505076492171\
                                       /
    914235753870791843777261858585299909563468811580140733386758309833844314\
    293118217399107721386266220701628460283341102144792259567231747221908289\

    402011267677898179907656184579594209927833396918971722042487061545980319,

    and in floating point, 0.00009011217224,

    and this happens with the pairs of cells,

    {[[1, 287], [2, 259]], [[1, 523], [2, 495]]}

The minimal sorting probability of Standard Young tableaux of shape, [782, 782],

     is , 2062691928967486539280014487901776936344344980170766041696151999119\
    875997791282432963723039896245568077810967560481885461299158074196007899\
    973867988269958031846933181915128781475352062320424927796357000758725043\
    873350335547982296921468622259903437959264777532811316539634713827082062\

                    /
    2569036159651  /  799319813210719326744699371636349914303016763827993759\
                  /
    891255910305288726833383520522371261604409777999171115916604821958434531\
    364066906342248285085619669180942542624030531540848193440575852826283407\
    522798710086736184825117288923333612683067513974858996530283815047756368\

    41209184200975309661810629651, and in floating point, 0.0002580558989,

    and this happens with the pairs of cells,

    {[[1, 340], [2, 311]], [[1, 472], [2, 443]]}

The minimal sorting probability of Standard Young tableaux of shape, [783, 783],

     is , 4226003518285911126543405641780008472668813186366752134150990857169\
    839503269631589044509480636021997804528797190285979859590253340246163500\
    008799616430984107695168222289871172255945131110827558940193768074176785\

                                 /
    38677601602790754897795473  /  19037711215716125907727487479597477568109\
                               /
    524951348920316210807019760686392268846568843471378191966849813500669770\
    092521364868837218341841508153511710977665845212844145561742996237684857\

    67160199925831560321821488010473980051724342209579619247,

    and in floating point, 0.0002219806504,

    and this happens with the pairs of cells,

    {[[1, 286], [2, 258]], [[1, 526], [2, 498]]}

The minimal sorting probability of Standard Young tableaux of shape, [784, 784],

     is , 2690248743968051304821462665387777444127001976998539488102455663777\
    646372416228558179307081449303722005764092868825064763426688490023631689\
    427192598969308350229000302938422194315986330287506226837110575952429625\

                               /
    596487927744885874441643  /  7605991188560589071086511419046712091461275\
                             /
    924427682251752664600970757563727152668766087431869505306252937615628929\
    681303852220638247575063642974601054036020877534068882121652123313304359\

    34626855983610578038177809566579518108545556980997403,

                                          -5
    and in floating point, 0.3537012701 10  ,

    and this happens with the pairs of cells,

    {[[1, 251], [2, 224]], [[1, 561], [2, 534]]}

The minimal sorting probability of Standard Young tableaux of shape, [785, 785],

     is , 4523819872489849037352317154570406959140291192156747877522237863281\
    719208986347065335341512198545702183704234416666342911323750188602396879\

                                         /
    6300397408266439172429872621564697  /  206384574620322550729678853982990\
                                       /
    012161355236780613700154518888289372097594989607722781198991947935860264\
    372210796563698008065590855556474227122926259341613790123758682466942913\

                                                -7
    1187, and in floating point, 0.2191937009 10  ,

    and this happens with the pairs of cells,

    {[[1, 146], [2, 124]], [[1, 662], [2, 640]]}

The minimal sorting probability of Standard Young tableaux of shape, [786, 786],

     is , 3035517939659114599432491575843947559641131793338406745312974818362\
    818017943748912247289341403439433383161969520176622470802605229841648214\
    170980676263413516077792231244383370001969743780912033383240003242460406\

                                    /
    04263813537271994887388615023  /  12831547107253242276110422099908473783\
                                  /
    099806945317565198940366839874690659635950226250950481912251773740724226\
    121131806518469517544988057741416106508348927303710715577907374755934594\

    706826672632940930120085281404213982833397254549663920553066533,

    and in floating point, 0.00002365667923,

    and this happens with the pairs of cells,

    {[[1, 285], [2, 257]], [[1, 530], [2, 502]]}

The minimal sorting probability of Standard Young tableaux of shape, [787, 787],

     is , 1804556979069714168446466288868140428750272779918874900866052053533\
    514930193349037249413926592012765140776246764677748217897834445869054389\
    709897308060175204643159471520174947301098110235534874069841030550267052\

                                 /
    89915541068396876734704083  /  23152634984429951883186203544961681590714\
                               /
    745535426724268478749615065881742995280235936066022987361140691257519440\
    734822830862668207412320141311074644960783861525709891736333624605026111\

    289838565365574189024480873059784287869270099884065163083,

                                          -5
    and in floating point, 0.7794175394 10  ,

    and this happens with the pairs of cells,

    {[[1, 223], [2, 197]], [[1, 591], [2, 565]]}

The minimal sorting probability of Standard Young tableaux of shape, [788, 788],

     is , 2095421547398259358552289989164655582054694809311195983348311382205\
    096790529926435884618443605990743230468555285761511177311837536784318493\
    602248180826931404236867975181240146798282849170112065768763036843713049\
    255748957516095119889851953022694152243479834965329544381081209053369614\

          /
    791  /  3564026775568332024159419301858920437881083788169794578788291359\
        /
    173824652646165926246381479008498626268133324129421273069320243763120390\
    493835131513083214487920356452788909307937760389304125281186468714132366\
    914876315731728998563140207422837953344131127067420827069609564855790507\

    5580372709, and in floating point, 0.00005879365334,

    and this happens with the pairs of cells,

    {[[1, 334], [2, 305]], [[1, 484], [2, 455]]}

The minimal sorting probability of Standard Young tableaux of shape, [789, 789],

     is , 2658313740844283853711319148752784947639551368557911710757017553720\
    034655369371783744793489599574112058738151317069394303204910616190133975\

                 /
    0957340511  /  325543039967395564066891400492798531215215477052533083479\
               /
    099287685473806209688334879706599909833454230952420384066326602949034390\

                                                                     -5
    5705074020489184733146129, and in floating point, 0.8165782752 10  ,

    and this happens with the pairs of cells,

    {[[1, 118], [2, 98]], [[1, 692], [2, 672]]}

The minimal sorting probability of Standard Young tableaux of shape, [790, 790],

     is , 1394576573896484992869362285348895336656125349279310148425359015604\

                                  /
    684929547061330254874635499  /  1041626284059734902654103807577578812218\
                                /

    4224972038535030571946631272241577244887305003987223378531,

    and in floating point, 0.0001338845414,

    and this happens with the pairs of cells,

    {[[1, 66], [2, 51]], [[1, 740], [2, 725]]}

The minimal sorting probability of Standard Young tableaux of shape, [791, 791],

     is , 2063603711301532357285155176545074191057356041154157296856613988514\

                                /
    7311853749343888566371763  /  462155006579404564317520460699949643646399\
                              /

    060192836025247219475107642117761718549368777590115771,

    and in floating point, 0.00004465176579,

    and this happens with the pairs of cells,

    {[[1, 66], [2, 51]], [[1, 741], [2, 726]]}

The minimal sorting probability of Standard Young tableaux of shape, [792, 792],

     is , 1684092607783986640716380464497321881098571715478298572358022321135\

                                 /
    93183732749758287588952279  /  37977843933776175924780480331138381995350\
                               /

    38619696957861080619499787339403768194950523135524627617,

    and in floating point, 0.00004434408153,

    and this happens with the pairs of cells,

    {[[1, 66], [2, 51]], [[1, 742], [2, 727]]}

The minimal sorting probability of Standard Young tableaux of shape, [793, 793],

     is , 1271562574569813444405690977762089739802999715947835812219272500847\
    098945170853090246269818088510306028479711002428694469025267842587948271\
    511175708141079245011709226478191571015509267486283534485920742528509490\

                                                                             /
    9738085015153486438992013316444376423177048323858990637825992449100163  /
                                                                           /
    284196756774841277375544539634296855672714043277537396576868938137166225\
    159484331258088393740614549025531247341987929806333857097980196453425839\
    109981356391190449906849717781908464450143444526917439544665655844243578\

    30462853996228769133192352343284437412507331237089141502393621782724837,

                                          -6
    and in floating point, 0.4474233235 10  ,

    and this happens with the pairs of cells,

    {[[1, 330], [2, 301]], [[1, 493], [2, 464]]}

The minimal sorting probability of Standard Young tableaux of shape, [794, 794],

     is , 1527965361877216657394743407476949501850578028459991389761194690426\
    351861794873911330628174675981974479810336084816830334434537282925071867\
    012143021737804981581570318006629677927137538782881759728659466972391932\

                                /
    7740944984219269825961199  /  133905092653922338219737872307472896550049\
                              /
    263543594040072600019372588914903187500677390816794477928832032349487373\
    772444025791276728237466700455678924610387590831115398521371044760062196\

    868929926456290422811663167244715448797548268319688199,

    and in floating point, 0.0001141080844,

    and this happens with the pairs of cells,

    {[[1, 222], [2, 196]], [[1, 599], [2, 573]]}

The minimal sorting probability of Standard Young tableaux of shape, [795, 795],

     is , 1529659370743788203258658757419377045133037223581040909202484015589\
    340664083718788801724454315379361628209213865705484487269019868663356209\
    538770970239151741462605205780439567296559694625968623223885494918476783\

                  /
    18193123717  /  56334451789802049316496103639668370653691130986288292259\
                /
    350000814338946544494322371687874184438022919934569288254255033078978663\
    388957081150189089667122597249414739173891236835619908446140768749861005\

    9284435255726441453770683, and in floating point, 0.0002715317753,

    and this happens with the pairs of cells,

    {[[1, 199], [2, 174]], [[1, 622], [2, 597]]}

The minimal sorting probability of Standard Young tableaux of shape, [796, 796],

     is , 5454704579887482064997200405376714798838524033167311426608570245280\
    209036574538556154012241380400841237168838692761517749681077837334060914\
    188560836441044062396198458350470514929774782650540683529466567662298367\

                   /
    624391803337  /  7830488798782484854992958405913903520863067207094072624\
                 /
    049650113193113569684710809664614511636885185870905131067341449597978034\
    211065034279876283463730041017668648745170881920151167274013566856230679\

    8240536500545975362074124937, and in floating point, 0.00006965982227,

    and this happens with the pairs of cells,

    {[[1, 199], [2, 174]], [[1, 623], [2, 598]]}

The minimal sorting probability of Standard Young tableaux of shape, [797, 797],

     is , 2894000019133876666172586423989998528986793147835708145364143374214\
    779774730738080328544803738988244785406047877268569361589480773524939966\
    494977951416269853228271107207559690753922457702445032236307359277566260\

                                                                             /
    8505310333600485788150295733021706417389026100474528174737689824721405  /
                                                                           /
    523094884700339043341861054436044120861422644109689188588187681181522187\
    108183916285457774835324950476361135211647898473758898656693270926467289\
    256619873556745750791146132152709844853092799740974556712964649806267927\

    737912349937611265363577552031061747935909422416749506813480667094883,

    and in floating point, 0.00005532457120,

    and this happens with the pairs of cells,

    {[[1, 327], [2, 298]], [[1, 500], [2, 471]]}

The minimal sorting probability of Standard Young tableaux of shape, [798, 798],

     is , 5252730698125883998898460682245609545255165293503144903586102704388\
    503586719167653102664853545488407079954058526489424660381250795649720831\

                                                             /
    172406639527685164214693785878970904257758412823358491  /  5614009157283\
                                                           /
    814404996438194626710609790007205302829372931607607720226720632942015541\
    858915837578517546824574994167781791725254424538894220215559259447785383\

    4855866373263839791141260852143338964749, and in floating point,

    0.00009356469772, and this happens with the pairs of cells,

    {[[1, 179], [2, 155]], [[1, 644], [2, 620]]}

The minimal sorting probability of Standard Young tableaux of shape, [799, 799],

     is , 3178192884522567381528050577469968776500021950240170187372811088749\
    525714352105911775181197900419255451884551003060901624242494653735954923\

                                  /
    699689140064157777000613653  /  1055903003835311596084527164084934532295\
                                /
    538571793090378452001021544414875198922855230798584550498778126310612448\

    2311970139992045719208822278334243073925538320933968215057,

    and in floating point, 0.0003009928822,

    and this happens with the pairs of cells,

    {[[1, 131], [2, 110]], [[1, 690], [2, 669]]}

The minimal sorting probability of Standard Young tableaux of shape, [800, 800],

     is , 1600442732333773387200247652636106454753678237790764760355253624148\
    015903968553087791079424047992814135165578643022729460361203959940825328\
    385547051194450350132468120794375261651464589397096811822679465903685989\

                                                                      /
    601578371924502326986642514894826666995950060245887916489032559  /  2547\
                                                                    /
    878377409782588999368868356793128041949309993835133734694013240811115044\
    546098324186259241785491958442068232321245305498565788319305799566992456\
    142131679300854713148068256406948610999880770870901129265347215038443956\

    68120390134836339340240022618449472300190414683309786373279,

                                          -5
    and in floating point, 0.6281472250 10  ,

    and this happens with the pairs of cells,

    {[[1, 325], [2, 296]], [[1, 505], [2, 476]]}

The minimal sorting probability of Standard Young tableaux of shape, [801, 801],

     is , 9613243261862308138426729315781555876725984545953781755037389513729\
    866405217531851339517802102508220868725973329531109546824560398143324717\
    717441417327331167792795780126193007667272854160491833080534709390209032\

                                 /
    60208622526042255593882513  /  93252062889420279256058371921737267937161\
                               /
    879627394752498149767455576250133994933419811714430627175757744047287509\
    888573742765418549976999342469599248234545521171787695916377135030003998\

    17650569313178220614249202386399468526324139140587520513,

    and in floating point, 0.0001030888000,

    and this happens with the pairs of cells,

    {[[1, 221], [2, 195]], [[1, 607], [2, 581]]}

The minimal sorting probability of Standard Young tableaux of shape, [802, 802],

     is , 2437526820721571558224750475429879272322666403724661838883158947050\
    471247043290358331124726567693692532627420624950348348646304794098228071\
    787157020793837423350555961589224890210917647559675900100204685835059548\

                           /
    63787999697563983229  /  97558601245234830036167744924339358156470405129\
                         /
    416563762132750801081085331967229664801249895569322277904202306176260791\
    963013866607448527093560978354341926532732218343204459107241342359245174\

    2321094437624536834835804430840508013227771, and in floating point,

    0.0002498525798, and this happens with the pairs of cells,

    {[[1, 247], [2, 220]], [[1, 583], [2, 556]]}

The minimal sorting probability of Standard Young tableaux of shape, [803, 803],

     is , 7919275956507955076444095854345970876009267390471561280201939981172\
    341239975985109289565489543521304175950052752597808530217384211817353314\
    954923106067987939219052722703097995377530945439561724697025184404013616\

                                                                       /
    2278559619628801733454640511225863703476916269158459287246775577  /  161\
                                                                     /
    064555344478366264160147738121404165886482675609045510287968581213741796\
    587218560011394389288510290399789132877167068143116657138424188490688635\
    136805971938271473115292707688022339483469022043144923034195731520997580\

    8048818223610616277669066662975317888510552469005762085422503,

    and in floating point, 0.00004916833464,

    and this happens with the pairs of cells,

    {[[1, 323], [2, 294]], [[1, 510], [2, 481]]}

The minimal sorting probability of Standard Young tableaux of shape, [804, 804],

     is , 9943211103164696512602141100356813984718851577125081855492940291831\
    700385522697154485901612299483244899668620355974887069104833646523409760\

                                                /
    93481932994511811886061437882570851101263  /  60854793913601431987152733\
                                              /
    051038492503029060991804487754391200507760630844848337083675500763949337\
    495425541720811072581599909137991986473489063638241232288343835699211351\

    877191631124199, and in floating point, 0.00001633924045,

    and this happens with the pairs of cells,

    {[[1, 161], [2, 138]], [[1, 667], [2, 644]]}

The minimal sorting probability of Standard Young tableaux of shape, [805, 805],

     is , 9258952904410565936563734710693700338468432283305904585998506699578\
    127787680357536149979805509484456283210504839457471016631669048084396719\
    863930707418423813815036949641200190684140800888249852523005326348346971\

                                                                           /
    78283163275293942312317113525239270027841478580462302656836727041339  /
                                                                         /
    420240828825095828405335136307764080988676630125593654330239878613124992\
    184650955906694997024006960023214924287267986309703466644850160749228455\
    548328697416568947358213629756244939360621437903070781262489775618316626\

    8090582171013638442902489033213913975153945368949209733411785878279,

    and in floating point, 0.0002203249249,

    and this happens with the pairs of cells,

    {[[1, 322], [2, 293]], [[1, 513], [2, 484]]}

The minimal sorting probability of Standard Young tableaux of shape, [806, 806],

     is , 1497996825844326968069369711438090602640385125637799655301081146521\
    555863282090969202530242454645059051407360160484747238827925832080192400\
    325492475205348389432044948997663149188619249079229641786438648554209216\

              /
    1107723  /  217234475748884087890864638359450111221272630134755678527823\
            /
    816075866567371397756200168806190981608983041420222887486383856890499055\
    124693941572513863812426863313224161356651162315057121363624667391655048\

    921802707730372847, and in floating point, 0.00006895760080,

    and this happens with the pairs of cells,

    {[[1, 198], [2, 173]], [[1, 634], [2, 609]]}

The minimal sorting probability of Standard Young tableaux of shape, [807, 807],

     is , 2602806302653739935364607177028759236650476050054824656896950273248\
    872756520006368173815371515126295285401348575503379870083911085808605385\
    686127854261427561095345090747541147204064920678552739864965566675131679\

                                        /
    763568408616359980919075283822953  /  9557003628281053382644482127324710\
                                      /
    898184456951066684767236552629406145336233480524467501473392677459087661\
    111367061566209425805375130172367565984221378129737294748879613449724624\

    125310723405757816637093319593096049855434874879393782917389315794047,

    and in floating point, 0.0002723454342,

    and this happens with the pairs of cells,

    {[[1, 246], [2, 219]], [[1, 589], [2, 562]]}

The minimal sorting probability of Standard Young tableaux of shape, [808, 808],

     is , 4240616224615942579700061425597409243114910001941279215587903418979\
    867401049742410685851213860511322434687843919528589762410482961175588872\
    194728499028897092052218163205719291661277365188111680017460914140702499\

                                                                             /
    8775616040279223597414186857772568765169625508722496085548705209866253  /
                                                                           /
    280113905958566081586495382993121832101816435917496506065282740994607715\
    452620762942356670453646910055353678259427947753291170491108368532461650\
    456745361926143824855150468341315057093016188853674128498169664318762311\

    1792582673259919266862092780297398009701509848151866623467605592904292,

    and in floating point, 0.00001513889933,

    and this happens with the pairs of cells,

    {[[1, 320], [2, 291]], [[1, 518], [2, 489]]}

The minimal sorting probability of Standard Young tableaux of shape, [809, 809],

     is , 3158457925596971818555914664060309711586471271350819380067496138170\
    614270812747693577522898973569196079997041931928234161556156326833340673\

                                                   /
    29198449281169516102773047013967807792868071  /  25391477487685220167385\
                                                 /
    606325860280320883228942153098650173843938486238394667485693135779948590\
    194527508071929949889223628283583393948744395179478562250203245251469404\

    42535099345126434499, and in floating point, 0.0001243904742,

    and this happens with the pairs of cells,

    {[[1, 145], [2, 123]], [[1, 687], [2, 665]]}

The minimal sorting probability of Standard Young tableaux of shape, [810, 810],

     is , 8461942898639232585240239081526050296974306558566900797875919516307\
    536810806502986444951354437577582232294904292236981954391641234738707863\
    886891778495426148835532623692055471732599909556075573544059618523309135\

                                         /
    0003768609773936697216873297925209  /  597591602581518242653147837176310\
                                       /
    560230002554845813462126312739010986614040678804497675108504232770342210\
    808091059477298012454934969392652867990213334157020741047344663185773652\

    465098852016170002435545329972129626823429512591938148659542906370080899,

    and in floating point, 0.0001416007665,

    and this happens with the pairs of cells,

    {[[1, 277], [2, 249]], [[1, 562], [2, 534]]}

The minimal sorting probability of Standard Young tableaux of shape, [811, 811],

     is , 2294447045093451943201301341427975548557963036581363720713831573960\
    482182383263464774159307069803361413001445889119946176683676238539166383\
    699160848826167825731815296210272267199134659557619437303302017016158920\
    337359252022371689943767401148939569818011918938184747030429685743383191\
    370116834515905156680208655378788818958543827493252428384313698926615598\

                                                                     /
    16446912842551114891374351930358043944852259397024654095183107  /  31187\
                                                                   /
    640682346274214816595455443490958249348959661005677558073295964983324229\
    015749144445859679056916723117236226572843164326865454269690009192792586\
    721560643887636607314220933074876390450883335348439826677820570660604191\
    272907575871792700215224616887013251890903424474391481810944696583658247\
    675601821171168796455882385592915630997624709042529060630865315561294825\

    39805013654730226639127750565140371411875840213560307793,

    and in floating point, 0.00007356911247,

    and this happens with the pairs of cells, {[[1, 421], [2, 391]]}

The minimal sorting probability of Standard Young tableaux of shape, [812, 812],

     is , 6911271279351409473071703250497879658552187100970603483833178610182\
    865585003140699986096145058880047519348064013625822902044369360256450622\
    495628921919851144373371999982261232305044780464889300140371531280565924\
    159160992831506361282006913664277216877644702425077664171285576171170591\
    979567898859474720546902687038880271225376613672458102921416986599135070\

                     /
    06962218987531  /  17873532873075454685189782251883724329927426718198829\
                   /
    740386552192041071227352834700642250793429892978195673021541253311126832\
    487971810408960133196024116292268840110229705178459994693288839562970863\
    875611954028961277174808392084288864372760519353171024526903815788444752\
    041202226280696082595584839524998127224144750721814617953865426481709352\

    082640061198250072862702131928531, and in floating point, 0.00003866762843,

    and this happens with the pairs of cells,

    {[[1, 408], [2, 378]], [[1, 435], [2, 405]]}

The minimal sorting probability of Standard Young tableaux of shape, [813, 813],

     is , 1533706260933406527824639381289600647337810982793165252571349149887\
    751984057382611368211773763602923018111309078838696415508184442260865040\
    837008128197753565608070319075835912141898030845531289764030031228687419\
    455698664278280771375205487165690936072893347653953327152744264177390067\
    178341208686751849052959479015114271560429647656035187660427681277490235\

              /
    7412411  /  402658443717834380063237685817479578117094631454083011780865\
            /
    575406764099216207662418432658850028062629668998342885748189935508047166\
    170936982970528541146773313089409405716784592045990319369111704715161973\
    415227632027518773781376201940486778842087411503515677361945330300099370\
    097431726135101178708101855206173823239112424256176230550640588754231286\

    400073961012868989, and in floating point, 0.00003808950948,

    and this happens with the pairs of cells,

    {[[1, 402], [2, 372]], [[1, 442], [2, 412]]}

The minimal sorting probability of Standard Young tableaux of shape, [814, 814],

     is , 1548348224375336305240088629468129677742304992705139011150545958013\
    680647671605433665625421092107658749010236467896814715070353185398454486\
    869266176145008104496663943078104114097336837761107900316188517365873864\
    879270563651816730280960672099154269719561059576609535335238822217816908\
    805538776583841406102024518129598905289940192091709038739514696665141559\

        /
    1  /  873636473003972955196635097018759909149976071137211296735117854778\
      /
    731600812013371951032581731322815672263906405106613260953749249451725959\
    232524020725340860006969677614393217086429951204004790691607788271572907\
    031915061462851140406861055738090881422418560819103389078366983058892912\
    459683197474010398690082085308408200813737690526768492816482451636359269\

    470209, and in floating point, 0.00001772302636,

    and this happens with the pairs of cells,

    {[[1, 398], [2, 368]], [[1, 447], [2, 417]]}

The minimal sorting probability of Standard Young tableaux of shape, [815, 815],

     is , 7388562786180284534571689394239343576482892423167057893482385703597\
    790557005254431354150570500527976325213974563554535207974165195451064735\
    821259850887808949223545794162129270515635476882829406796326232177492316\
    684669026343150814946085757330191432266442586100308373416037555068869819\
    232105432351714674638992044077236374748724626181160596740089246959567797

       /
      /  7858226743024777006568221428209963454520355997805219704109199651045\
     /
    060484901822996206421281547404501600490607922898132514895361778736917254\
    206183420799956104841285594423399350195466226010442484734232688687623851\
    862934889678406276931434024751640052341426073436289475166751379016903528\
    231764486472737585581022392633630116910637192272531181952457696695105086\

    4647, and in floating point, 0.00009402328321,

    and this happens with the pairs of cells,

    {[[1, 395], [2, 365]], [[1, 451], [2, 421]]}

The minimal sorting probability of Standard Young tableaux of shape, [816, 816],

     is , 6196609558318984037711832607533856810431956768306772158770361279012\
    897313359326213071087645449971523775402165099185921836560650530680685656\
    138720179546715156748813846357705382828021248760834178081989772217588613\
    830157344303020669833209063850899876912052800647216264683776236470841355\

                                                                        /
    31449812182692923489659576703660593657704513417922322416109193913  /  80\
                                                                      /
    921990828318968535724681216352240001580057883728894711363360751889750117\
    141158755578764799733754445680270388576852290437784033928649165464122887\
    450391463570806913944713039765184985038942678162957301929627856108793134\
    983057195540508832888956073958136772329201434053599125975935046373837026\

    44389837571870959776213957996849114862480920024768962271836563,

    and in floating point, 0.00007657510023,

    and this happens with the pairs of cells,

    {[[1, 392], [2, 362]], [[1, 455], [2, 425]]}

The minimal sorting probability of Standard Young tableaux of shape, [817, 817],

     is , 1650017166395622544573920669055159001761347640061628598517225517414\
    233093999048295344813545924896659171733655797497432340051805021803667271\
    635209775809663599808144254029191597961913835837306593109292068918379037\
    475328868208872905460753604819503213975793999164353604178859483004354063\

                                                               /
    47068125670364274546047037582485239559746375119145482993  /  23705930633\
                                                             /
    683762023853116341514699566515940864799035054189459728241070292113821180\
    498077603240407577903367891950840359598259482892927810239201712429835296\
    202300541382719507042126897909804231176367316376487696182191106688576733\
    654609625898157562552915334520175849122472835401603549228509463478499496\

    73198774047527459582209719712401626136408517, and in floating point,

    0.00006960356005, and this happens with the pairs of cells,

    {[[1, 389], [2, 359]], [[1, 459], [2, 429]]}

The minimal sorting probability of Standard Young tableaux of shape, [818, 818],

     is , 2314474411322926433603563700219756318199486689215515508993633053511\

                                                          /
    980810182610883982669850835363704399970137112173047  /  3168550973687916\
                                                        /
    285864535045285293129390026996933445538877736672516356654687594128207582\

    14225323472931381913360586873203771, and in floating point,

                   -5
    0.7304520049 10  , and this happens with the pairs of cells,

    {[[1, 84], [2, 67]], [[1, 752], [2, 735]]}

The minimal sorting probability of Standard Young tableaux of shape, [819, 819],

     is , 4082361364550054095390809874888918099552979704638869853218345192708\

                                                           /
    1738788494209930825041705170706066454811122448733489  /  348817615596981\
                                                         /
    772694031194965166432603327114591798947353251844849312430647181680422045\

    189432988920772476255663268803923721, and in floating point,

    0.0001170342661, and this happens with the pairs of cells,

    {[[1, 84], [2, 67]], [[1, 753], [2, 736]]}

The minimal sorting probability of Standard Young tableaux of shape, [820, 820],

     is , 1199068565354784643904822207870590996045277182907267646800418505093\
    912264795130043392911741966535443148294362575820017230438666010728865986\
    368975374304256933718934117248951395186690499962173331085195875562451280\

                                               /
    0333981840729055602024892928339673089903  /  992104914588235092328393483\
                                             /
    350252460941882019994857790401127014338732316871163308363645507784881570\
    922382839059711584249657220142334883095929219019897501712117447844297356\
    215276860787434674132818544768022989231084533292963316109382580941244803\

    71873296107, and in floating point, 0.0001208610650,

    and this happens with the pairs of cells,

    {[[1, 274], [2, 246]], [[1, 575], [2, 547]]}

The minimal sorting probability of Standard Young tableaux of shape, [821, 821],

     is , 2520510855093075403303357110626123264574373167374490250089474214214\
    077757234023792614588933004170243247889633365297027284445425832546682009\
    287548961153113316014675489792155759723162510415829935834112134144989828\
    169839156609697694643370053475261266048121147967189395472953835376218196\

                                                            /
    12762712918956069919703893283406043057725975702106791  /  33432837332352\
                                                          /
    500425119804062072879970028598620117531721296309581666658990613878191752\
    105488851909175418846389143888927906393790682723504743937228747818727247\
    523735893047882874220473172261087587639489449175248851974780826395323549\
    264535450443949471923584202500982577166287498349046153074897947489434472\

    44846018965181520447666667095123679991, and in floating point,

    0.00007539027663, and this happens with the pairs of cells,

    {[[1, 381], [2, 351]], [[1, 471], [2, 441]]}

The minimal sorting probability of Standard Young tableaux of shape, [822, 822],

     is , 1369366624807905962947895313640437807074633499669070896706200295200\
    770119039158802595739386781350790062951814441832056561307283946325670971\
    598787615284237832253025818885397270807242909106787298016740308880455182\
    223335174750732285419724793815603350510443977302002191548866002970548641\

                                                           /
    5189401259656232676045337881385617763815486107657461  /  281963688345141\
                                                         /
    569850407986065674891313494205229906894035029116953815196306382105231644\
    263158992005093893885209647256018487658475637427148442844097873169988834\
    537531628114674842823267717864594112622200173767158992558392511767788969\
    700901389286320847548300503020334988149412636678702495812392328224146153\

    179784732003260760646586381516454939, and in floating point,

    0.00004856535368, and this happens with the pairs of cells,

    {[[1, 379], [2, 349]], [[1, 474], [2, 444]]}

The minimal sorting probability of Standard Young tableaux of shape, [823, 823],

     is , 5796574757517527711748186496661008425303066568750809123127788245964\
    832479663521522462159211199265582303447626650433475981599739047543444229\

                                                       /
    321191884326125860992247184203431832854697155789  /  2388964432220085281\
                                                     /
    019511474448348370948580719251680230580548970558912915880759004374043310\
    708355535642698035265471434656580203231333786231502561564627036317846383\

    87522873837497371093958099135, and in floating point, 0.00002426396425,

    and this happens with the pairs of cells,

    {[[1, 160], [2, 137]], [[1, 687], [2, 664]]}

The minimal sorting probability of Standard Young tableaux of shape, [824, 824],

     is , 2267394470636636066365476408446293476342802341563219116015185607962\
    189020801329025302427222404466185334430817546561473169643670317945918030\
    209023098346135085511524649665494549874821959872500459897836015855758131\

                                               /
    2173044529237890124621432022140236767243  /  135509087873957341969224384\
                                             /
    586821382176084687514119461458584979657815920373697044494241945429891119\
    594136844882624918449889966132645936008839339302057403881219778382689411\
    982719316964722314789791701834021465811387134186933592535452834501728662\

    9811286014033, and in floating point, 0.00001673241630,

    and this happens with the pairs of cells,

    {[[1, 273], [2, 245]], [[1, 580], [2, 552]]}

The minimal sorting probability of Standard Young tableaux of shape, [825, 825],

     is , 1339306385825002660070020135146926651073968636948756358179664598708\
    216861761909060450142636680141209400430416299536852007622312657870708215\
    914165353485231098855401587399968842793358959912610028561189460651829087\
    926158361496080029879997615412619555484370790054292007768544940920290979\

                                                    /
    705824914185658083505959818326857973757592491  /  6030919439485011627670\
                                                  /
    581171035040238459991030191971884970849837409691059057260970255535008253\
    287962311780188696027176934728160833209313005964715538608150432925494614\
    403188358489347329164705629788439087562807843373011896978341217831569964\
    554155540762929866466123492567193761127489504050889286240350460653735662\

    837427036130751143509, and in floating point, 0.0002220733338,

    and this happens with the pairs of cells,

    {[[1, 374], [2, 344]], [[1, 482], [2, 452]]}

The minimal sorting probability of Standard Young tableaux of shape, [826, 826],

     is , 8008693055406463223437296374238730842520838181719854281618891792238\
    973353291136037060900117712745823737639561403900631997932177224839768833\
    070473208454537522759580278993555210296043815458094770617839450992866404\
    005979042424057691465844812489442585731103014467529422783113166550222648\

                                              /
    742309343436310263946319557041792337021  /  3786125581948026635489096095\
                                            /
    822110765559665409122965587903101159777569878245502523859335180019642138\
    434164221668671716325399058844377746880510211274159175361243954180678754\
    698028342852134286916811123791551765863125752964390948093308788978940395\
    216751164458827373653441643393262282317817119270663789604277566490575319\

    87954721021, and in floating point, 0.00002115274014,

    and this happens with the pairs of cells,

    {[[1, 373], [2, 343]], [[1, 484], [2, 454]]}

The minimal sorting probability of Standard Young tableaux of shape, [827, 827],

     is , 1231163601249277597832859784079617567215655338558041585725299050934\
    100487421959336001826997917417789155626410837687229983543683630988601640\
    874734887323616802139795750318587392264383322385191917060662199320037836\

               /
    86430047  /  98684048788264261457741602078431952997676450859478540006469\
             /
    514669512200096152519903295372217456723972809077685556376187965231183552\
    706727557187946413934741080391455412958936563774615613310020368758983376\

    7951999967314899205, and in floating point, 0.0001247581161,

    and this happens with the pairs of cells,

    {[[1, 196], [2, 171]], [[1, 657], [2, 632]]}

The minimal sorting probability of Standard Young tableaux of shape, [828, 828],

     is , 1598699293782798966290680755903282324657996335478672101321538403460\
    879636788266359240448004446306593407911776757035282586534924252700536982\
    182052414614084350759201508469568442759015119146010360373318481973488333\

                                             /
    10164084929728093741264167174302153619  /  17288899297849688559179828080\
                                           /
    935782131707201170526302826857812575200991261177976837810411660249462792\
    155347196213670055714037228353276542376170489417785815711341215383690414\
    492005005007781911506608404234702313385614481855228339180569145161693599\

    09442689, and in floating point, 0.00009246969782,

    and this happens with the pairs of cells,

    {[[1, 272], [2, 244]], [[1, 585], [2, 557]]}

The minimal sorting probability of Standard Young tableaux of shape, [829, 829],

     is , 1727190577769669723464468533435416849140571110449871451706540062899\
    229533774627136675670085524469967280512323232878750058985256596973582099\
    827917968053306659679125343844105180059324695280174071129229212568744709\
    053932557296405873125565508525190990625685610579784544615828256595604521\

                                          /
    11768956187688758212766534469727159  /  88397488576892407086596315982045\
                                        /
    331307935540490035328695885966993345653185377756393578031554084844636087\
    604956270112413295600484716760703974987665112338384165284228889366211587\
    862272348256945246116885298289080896403598910386494148882759507108300170\
    837518526053663220373635811034449732856821268110318362514834925147631168\

    41, and in floating point, 0.00001953891005,

    and this happens with the pairs of cells,

    {[[1, 369], [2, 339]], [[1, 491], [2, 461]]}

The minimal sorting probability of Standard Young tableaux of shape, [830, 830],

     is , 2817628456963009672390148747624855990791018099668933315811578673814\
    588511102083115317587850461650991601592322634010227697606849320829319770\

                                /
    5862566459525198071860343  /  892575738478992725195539583086689401619777\
                              /
    438543347170618057343924019648113434453885404129912048865118277537876660\

    478921020207471428493523407493700901567564354445786994,

    and in floating point, 0.00003156738790,

    and this happens with the pairs of cells,

    {[[1, 130], [2, 109]], [[1, 722], [2, 701]]}

The minimal sorting probability of Standard Young tableaux of shape, [831, 831],

     is , 9440337835792569241443117709464190578946679160171436556773407240099\
    626411813057651307584150602702040467583100172968236424220392930273266172\

                  /
    32878279469  /  46707316426279640607870069077394339929194863810925980058\
                /
    397900448808268116375259928143643661375257601517652646988093916376768824\

    384178212417984203434825971, and in floating point, 0.00002021168964,

    and this happens with the pairs of cells,

    {[[1, 117], [2, 97]], [[1, 735], [2, 715]]}

The minimal sorting probability of Standard Young tableaux of shape, [832, 832],

     is , 2676272322742026342618111678071902717387183728968067729533957032425\
    573072762284855395869702381157773306721959013619260308061242280776850550\
    524760596534529272935190890867015518576514320866391183657901333972015306\

                                              /
    073135860549778160446089324953356526323  /  2062333820171764980537792544\
                                            /
    346150652983834063616272162383734051332344959621414154238064414720391921\
    456976794028756248024494908462768432054436891189237665431580352883158912\
    508248885718596871289660313602769381058108398256489178414106966833332235\

    93582284073, and in floating point, 0.00001297691138,

    and this happens with the pairs of cells,

    {[[1, 217], [2, 191]], [[1, 642], [2, 616]]}

The minimal sorting probability of Standard Young tableaux of shape, [833, 833],

     is , 5586120923764813601520254816199752683006789224191502968842554462152\

                                                            /
    91727451971213744714739013039044219084387389306807439  /  31472654538365\
                                                          /
    276663910415472234702727619090158594222539945638443253571764254223593321\

    28481221244022597076783743026316204113, and in floating point,

    0.0001774912541, and this happens with the pairs of cells,

    {[[1, 94], [2, 76]], [[1, 758], [2, 740]]}

The minimal sorting probability of Standard Young tableaux of shape, [834, 834],

     is , 1082374648514011262498981930101397594459187801351469497074462355943\
    421008245003036586003438970872040185713051586552225759558380309193613872\

                                                 /
    382780093219599478788789292764853611233467  /  3068964190418445093175479\
                                               /
    585699782487169614656392319405700123039688945590316724536931862178216441\
    656737561942504658196876877442377169327973129460258411579689556968616214\

    9375819051671329, and in floating point, 0.00003526840267,

    and this happens with the pairs of cells,

    {[[1, 144], [2, 122]], [[1, 713], [2, 691]]}

The minimal sorting probability of Standard Young tableaux of shape, [835, 835],

     is , 4380934051743521969618752698861143606968153593424071255616850657754\
    80321501829907904307077339007519308148008498579479031531158153388570247

       /
      /  8782080558559461510493047499762122457581313909553745460018008029564\
     /
    921638702889324048738064039061903619873939151705041161750475671621850011\

    799, and in floating point, 0.00004988492217,

    and this happens with the pairs of cells,

    {[[1, 105], [2, 86]], [[1, 750], [2, 731]]}

The minimal sorting probability of Standard Young tableaux of shape, [836, 836],

     is , 1949091280798857736880299625651382613738172193825530870008239788988\
    676603355071994394689871355186268652923860741541016803382828806546137106\
    463678668092625825787286793966448524000888035494355154883856620564242413\

                                                 /
    679653870363769044698259584211415250849379  /  3888853953294994430366898\
                                               /
    610244076741820892612620497426871635935150930815142234924227493880636001\
    525086633071305464275533371985725096234821671980459843916392786319070551\
    079174376735464579001957743556936861304654658161952900853297464735121147\

    2297685693281779, and in floating point, 0.00005011994033,

    and this happens with the pairs of cells,

    {[[1, 241], [2, 214]], [[1, 623], [2, 596]]}

The minimal sorting probability of Standard Young tableaux of shape, [837, 837],

     is , 1623408778207965696997356483714052892220086377608514812216442727596\
    930370234060512809963402817779862940240810337485087941645532653454860201\
    012453553384657417314622240654468970087939133531408434552547328580096176\

                                                                     /
    58051795906454505243673184693843973902589809405487439947698585  /  78751\
                                                                   /
    500105927003736291109542314758115774307968268312735818937252108277580735\
    145852896100316334650919795886392918417632002213229481295207127860354506\
    176763862719233676386815118467085338988952484014347038278830986575105630\

    4714464784033564567649328163045593105364215878395658387,

    and in floating point, 0.0002061432196,

    and this happens with the pairs of cells,

    {[[1, 306], [2, 277]], [[1, 561], [2, 532]]}

The minimal sorting probability of Standard Young tableaux of shape, [838, 838],

     is , 1627311615655008930280897265223843004764146856325693634268960335413\
    691356477330265691401732254431683148959009605998518721247802588438191033\
    247279847378190974224735270835238402321961054326824018569769198222166770\
    308561271971137873858682980068005318711649665860450409160377909801979332\

                                         /
    4147111711485304792134959327447001  /  548161772659896461308900832838539\
                                       /
    984068787938767250939383543582442870276847914170432380942145007043110904\
    184968943174923581816552632469798290348794355260967574429186757178067084\
    484972789931081525371128585538483864947055525160400698650941858906212261\

    09683530577601919067753924529481683714245823242969755183428203525112199,

    and in floating point, 0.0002968670376,

    and this happens with the pairs of cells,

    {[[1, 359], [2, 329]], [[1, 510], [2, 480]]}

The minimal sorting probability of Standard Young tableaux of shape, [839, 839],

     is , 4201715465333825322989397016733883642974013966311802978699219361977\
    732459834405448269910377891120069836148639206845724872011158378568208497\
    669799737203928555268925983979889675590550963341962198459570642694284242\

              /
    1243429  /  125112252320146162563797071043130773948182137522723082857159\
            /
    125653792912928221859306188421636089525229648496180779078803797040295705\
    484040057716898448743282553570091796002755576668882278073991357801714457\

    2910808007793506435, and in floating point, 0.00003358356506,

    and this happens with the pairs of cells,

    {[[1, 195], [2, 170]], [[1, 670], [2, 645]]}

The minimal sorting probability of Standard Young tableaux of shape, [840, 840],

     is , 2015994808778918406652145258952809943242504823804776825439348023628\
    852114842408387747152583288934643962414692723324454661751860258231598434\
    008206876711824237656965187814606633641775949485925587986716074963107717\

                                                 /
    815178667761406541396460387226948508939021  /  4742914487022014952097995\
                                               /
    839723606275693984463221548453354651210382292363309041891273430283081649\
    047785292422522908628312360241184611100348018083746318083137513411674367\
    123607425794142693934186415273896422935697302929080740451800200139518484\

    8889288601940249, and in floating point, 0.00004250540073,

    and this happens with the pairs of cells,

    {[[1, 269], [2, 241]], [[1, 600], [2, 572]]}

The minimal sorting probability of Standard Young tableaux of shape, [841, 841],

     is , 5808743634019843701626251506578526692914339275191504448932088146666\
    358221579514926816727084552041139487664347790301384076432332980060657984\
    048214969767480844368472583106806309668129907405532978665402281398795696\

                                             /
    62016070880752805987486333227740256017  /  74465393186275093434643502118\
                                           /
    230995363125436837973180473695850231940437937992899045350640005266996918\
    653988224508611468374373414294455909786440535372369454916315208161807510\
    102923479120913784629408914118036549322019016372793324946258235313307601\

    83617973, and in floating point, 0.00007800594861,

    and this happens with the pairs of cells,

    {[[1, 216], [2, 190]], [[1, 652], [2, 626]]}

The minimal sorting probability of Standard Young tableaux of shape, [842, 842],

     is , 1659670546188132142654547575247370326991532479873457254963203869903\
    025067590898026450306239232495491853148467250678898885402390408294791029\

                                                                      /
    902722290956756794151407812963370083555570053409092122348618811  /  3846\
                                                                    /
    696928938668346211871285056686819899772734931015044268483422496845527450\
    330652542172191484460656103162275178230320444590211135304484464917336545\

    5766858369384225560208682459107060213044694033348026408995,

    and in floating point, 0.00004314534201,

    and this happens with the pairs of cells,

    {[[1, 176], [2, 152]], [[1, 691], [2, 667]]}

The minimal sorting probability of Standard Young tableaux of shape, [843, 843],

     is , 2324577663806481623049045353432291764227422355329484930739251430059\
    910136392015539543659052575929599661078117839833085259607668888477869923\
    696283773250307790522837693921521732961224269006056731042866119548552409\
    876343721201412586515375075502532545910549142252837343733685554755991086\

                                        /
    733472215508689442808196626041268  /  6271541465015888860336078979203112\
                                      /
    690805918830687958897781117626977850067354288797871785520690853445639026\
    195261023274704708101692597067501188908227589852093074043372974215949446\
    469392126979646061977223410095947004879253872769507309276318474847323680\

    2431276464874978856408111089696994725371188959134535899144113258747693,

    and in floating point, 0.00003706549142,

    and this happens with the pairs of cells,

    {[[1, 355], [2, 325]], [[1, 519], [2, 489]]}

The minimal sorting probability of Standard Young tableaux of shape, [844, 844],

     is , 2801261066544554881704501580375330418092534540257021736305984495536\
    391956767580501364318308389719201821578347709947741281958037508115866796\

                                                           /
    2578775415781689341307984724056740883779296193239181  /  424343188465940\
                                                         /
    456573821893959512258058243661926970125086784828125483467381723421369276\
    116470384327794640155184674571815816939377776792006030749555517761148712\

    238930886833453595698313759619033173, and in floating point,

    0.00006601404577, and this happens with the pairs of cells,

    {[[1, 159], [2, 136]], [[1, 709], [2, 686]]}

The minimal sorting probability of Standard Young tableaux of shape, [845, 845],

     is , 1808071843926376655591411768068328471603597091856806606537029574699\
    680317158417045195452856203750379945559235553572803148238001508053705521\
    066794429002020723133693480933564475234931351737363033792262085842604806\

                                                           /
    5308974405674713616921752719807235963828790661381443  /  127779656413959\
                                                         /
    823701942866301143477470284363603585477817061177399088886977492055776767\
    551960513180503610996157534668040179032750597211570550449589053148974797\
    821518523614761438801168756315386418472143745960877271479861865097227686\

    723860473070149314948240658496560001, and in floating point,

    0.0001414991944, and this happens with the pairs of cells,

    {[[1, 303], [2, 274]], [[1, 572], [2, 543]]}

The minimal sorting probability of Standard Young tableaux of shape, [846, 846],

     is , 1862606371422842718115568242263559433094122517453729582603222663493\
    836542750365390247121080717911517144524556837652622421457170185506959173\
    768179306957068589857359601041243498184788062469672076537643294750895280\

                                                          /
    163525871049771800806242515321194879234668371835041  /  4636114725170168\
                                                        /
    899092097472809526903732290403880598257528921642282474904605296764831761\
    974922818208243529823897507319843430050877762670109657567641960969733797\
    845555891444666960172857444789804828381897020186741606892664489870878156\

    715687771399628630409057727759413, and in floating point, 0.0004017601983,

    and this happens with the pairs of cells,

    {[[1, 303], [2, 274]], [[1, 573], [2, 544]]}

The minimal sorting probability of Standard Young tableaux of shape, [847, 847],

     is , 1687025851855355174546948322204990518829699014426385495045614513571\
    390025387046780649015607788983983061254711990606176626040356851686721469\
    060582878342446416202740181452870685209695437705035672523635045324982659\
    961834831145191327891056432932535104507561205755246651393877852255078257\

                                    /
    49482809416326431049306524226  /  79089345516916802007803287712351291546\
                                  /
    019232724335367462579223363258568856518644822284876274955179506205240234\
    307518636551651340972794834057816172557769057029110658918373304054895023\
    133987665089646877442437310188688073654867203225141112654876624131435027\

    2305006070773998275344260327190609700426362523745764644255051,

    and in floating point, 0.0002133063361,

    and this happens with the pairs of cells,

    {[[1, 352], [2, 322]], [[1, 526], [2, 496]]}

The minimal sorting probability of Standard Young tableaux of shape, [848, 848],

     is , 4243230286911309931656476543454048537942341078762103875414395275690\
    375230300904574823520825348560286091785313720104535724791474597969287016\
    257531157839753790281071768758551548190400005700576158289613428139106799\
    813730190582226777888138049592092344194748949427420714729633627138820182\

                                /
    4881244841230078030741967  /  815354077493987649564982347550013314907414\
                              /
    770353972860438961065600603802644522111569947178092321438208301445714510\
    501407748982896626750866575424459358443886898048030086322722215412609628\
    738815357184303530281548336990450050177352836506316029655918880773476603\

    0990420350497683961446672068141241508891997379016951083,

                                          -5
    and in floating point, 0.5204156579 10  ,

    and this happens with the pairs of cells,

    {[[1, 351], [2, 321]], [[1, 528], [2, 498]]}

The minimal sorting probability of Standard Young tableaux of shape, [849, 849],

     is , 5513508917649568654195874059608755046147405946989239071266022938745\
    415894365586385233458521550902134179626540356807977639294490049637163677\
    885561272507221965353109853279588645866707998378426616102567339953592922\

                                                /
    69617229251759415070198793125104794297382  /  30452254578522114198664745\
                                              /
    561561910466412421132434163701627984650075072430598108314281207515551263\
    178813936402017233894294033105927153051988227183411883326078680415281168\
    657488693859027671441937081749972841319394187897687336245309308006967507\

    214968117103017, and in floating point, 0.00001810542107,

    and this happens with the pairs of cells,

    {[[1, 267], [2, 239]], [[1, 611], [2, 583]]}

The minimal sorting probability of Standard Young tableaux of shape, [850, 850],

     is , 8136650394673438710718254978210455730176732835919174474214086655148\
    042049111992256685340766241859904452789383501296065757661490620142121397\
    584947714415128225993790842862315169211139991638080559541630698415959290\

                               /
    657959407336836586105783  /  2622482842575263448850005551239217909579712\
                             /
    475695955527172927437363424940327293919176654580875832631155717539129997\
    896564422040358221014297953735673914770175358746681828256787490971366081\

    93130677302063606438967308764559730231375970815974619,

    and in floating point, 0.00003102651526,

    and this happens with the pairs of cells,

    {[[1, 215], [2, 189]], [[1, 662], [2, 636]]}

The minimal sorting probability of Standard Young tableaux of shape, [851, 851],

     is , 1211393046390705343045873904214037986402540977493822481197705861607\
    861113314322965382328988960645413977780513115356851266578252849235370567\
    027980969202483625800917578448184194599575584089242077338247074142485561\

                                                            /
    37374117419265033089470377045016746612948632335551248  /  23311290388881\
                                                          /
    241294827913308697716229584181722276215668994105081750643992338580226642\
    589780793994581385282421040137780118326027919929663424012587588084481218\
    663846133739252571764916339255778863020024804482681828583727662526526160\

    92765170698054115157633169559980701223, and in floating point,

    0.00005196593694, and this happens with the pairs of cells,

    {[[1, 301], [2, 272]], [[1, 580], [2, 551]]}

The minimal sorting probability of Standard Young tableaux of shape, [852, 852],

     is , 8817721477576580720739200295227068008552456342270210724027459160868\
    412044874075149655798362904674055106894094613950951725206994309518249909\
    385535152120834232956462031254499500358919864043370132349007312803370084\
    152330708949154222170557346602733769287831568255237919857779191867434559\

                             /
    3144830859263718411683  /  781955217091379590379270258664825504130942825\
                           /
    306672524488397357204140415285540978316674993910381439365053965979709071\
    586200354153730185031423622467905919400971622164612013258908211661239250\
    471165601794558336031345705008535483689596759973222170992918948039347814\

    910537827170460963866867877928541711694010005967, and in floating point,

    0.0001127650444, and this happens with the pairs of cells,

    {[[1, 348], [2, 318]], [[1, 535], [2, 505]]}

The minimal sorting probability of Standard Young tableaux of shape, [853, 853],

     is , 3345985555595038272615134244598437798066139673776278541734199018219\
    115618497928290451386527433923377730633215244942770231668537920543765369\
    373854222420374566988113343098374171169225906677053006988305398534382036\

                                                /
    50543412647933067142079847334009780329998  /  12544066550744882713806146\
                                              /
    778242699191365702613174076852662051840840188715060915464660168263354784\
    848149597746237235053117236912428138801958824543159339206702699538265637\
    248451547102762141128666977884749949401693585827747144805525303651624440\

    79923707593737, and in floating point, 0.0002667385048,

    and this happens with the pairs of cells,

    {[[1, 266], [2, 238]], [[1, 616], [2, 588]]}

The minimal sorting probability of Standard Young tableaux of shape, [854, 854],

     is , 2325415635892193669964549017714843278446100660250300896078988944325\
    920294006206274867049670192283353783030939608902246892619244645008574738\
    111123271048087377317902457659178544847327220165896821617377926847745467\

                                                              /
    7333998134013158537404997134160489687331962655056122351  /  283970133923\
                                                            /
    242587187783114757277520795397653268634110075145588026772874500852417139\
    760697253767270971630929324998025034784744786998045229042093936746387988\
    473414131222143452348676245972693570139504972980935299249833676215516192\

    167552331224052617909701895616629488445541, and in floating point,

    0.00008188944393, and this happens with the pairs of cells,

    {[[1, 300], [2, 271]], [[1, 584], [2, 555]]}

The minimal sorting probability of Standard Young tableaux of shape, [855, 855],

     is , 9457993680562608231599238885714915530879441562785639922762438528168\
    776989206211515148371516985189537169632045767387212534244714484712977839\
    715893899428268913270837521574038056690264756183750833126968389395004922\
    452751810370716224089103329517881487507560129951989873319720314703077853\

                            /
    437523182292558015911  /  1111489949400143336220257537492173960836920861\
                          /
    020616853158887280631882560341831716704408054952108075979898014866904014\
    909092921237447202567042988872077965677211695998821830863088767088998306\
    326759660851159144958023782840457376544729158247552924994061475524161099\

    66458428968759836688378216671284324532189943139, and in floating point,

    0.00008509293031, and this happens with the pairs of cells,

    {[[1, 346], [2, 316]], [[1, 540], [2, 510]]}

The minimal sorting probability of Standard Young tableaux of shape, [856, 856],

     is , 8439059418444127767558166099128099587905154888212559723981269907871\
    306197059504764630676563745036049517651006009443334049418113410051973081\
    304318770070721982125688089401314068403936683303877374349989468056267582\

                                                   /
    04403634051901379685781641503113164140701413  /  50978797544010495812259\
                                                 /
    981997210107309990226167469150912367330203207441612684824440740662185245\
    150983917217637057066012994462266709922953301007095038501591593622400491\
    332152331474260159399105836669489486344501615605205958073180062340812348\

    29999776050851735037, and in floating point, 0.0001655405742,

    and this happens with the pairs of cells,

    {[[1, 238], [2, 211]], [[1, 646], [2, 619]]}

The minimal sorting probability of Standard Young tableaux of shape, [857, 857],

     is , 7728204590722237735202217275592186802999027223001027788749019712748\
    738352768775325262022285318700242897238656431734108375412781766237065189\
    492928983653530971553628211273715643534241871811852923754869582148781121\

                                                           /
    4000018730832479658699399847918704643136853925441208  /  113805070971369\
                                                         /
    079075821732361227423077400370820892368300444421976725502306208243123034\
    971800727208547607709277427064942930616090987462953548841081485248814073\
    110045423327662304506931731793689584525135021867389932146111617485089818\

    0420343248236906075037380804289769913, and in floating point,

    0.00006790738343, and this happens with the pairs of cells,

    {[[1, 299], [2, 270]], [[1, 588], [2, 559]]}

The minimal sorting probability of Standard Young tableaux of shape, [858, 858],

     is , 1668182654933774842683904307672711251282268380127968151975945064043\
    183708307840005297034009744179269668692730122792874071847364999481375947\

                                                                         /
    248582700283031640866469856219803201317887156168330378445851960255  /  1\
                                                                       /
    169642860345013086683226692532073592757553461152548991038557296062276252\
    556084031121499821618176563259062895376878265403717518063357895374677067\

    9934476560332441518625235162969645743456496386695780849702059169,

    and in floating point, 0.0001426232495,

    and this happens with the pairs of cells,

    {[[1, 175], [2, 151]], [[1, 708], [2, 684]]}

The minimal sorting probability of Standard Young tableaux of shape, [859, 859],

     is , 1659142324173186962203945857950187775967562298552352274206335925001\
    400647071535302247303583879963394755574680696413700216339567616980476577\

                                                                        /
    48415244640015203519335789408726960611069978192613473462064561735  /  16\
                                                                      /
    709183719214472666903238464743908467965049445036414157693675658032517893\
    658343301735711737402522332272327076812546648624535972333684219638243828\

    47782365761777359803605023281377963350928055242254407100294167,

    and in floating point, 0.00009929523501,

    and this happens with the pairs of cells,

    {[[1, 175], [2, 151]], [[1, 709], [2, 685]]}

The minimal sorting probability of Standard Young tableaux of shape, [860, 860],

     is , 3089757329884290683045286002833822570282807267950523986075072013167\
    814811451278100307272435655491483606826507291097855026016920585175588334\
    601285034805221579284354905395365331189823998033475866906654015857082420\

                                                       /
    920983152838216526785315332642621744833526413971  /  2949327762339169226\
                                                     /
    260843738112021287987631943037566506094830462262916435493174700884624735\
    161814627342260453364555034464607820888374839705389838581690203006914446\
    217307674496042576077273658812689045656892057113719337497556629542262284\

    24605405186583732957201151131, and in floating point, 0.00001047614093,

    and this happens with the pairs of cells,

    {[[1, 298], [2, 269]], [[1, 592], [2, 563]]}

The minimal sorting probability of Standard Young tableaux of shape, [861, 861],

     is , 1702971032599700330513637479017768977808857679271301556251917171152\
    885193554287445243258444047590503843560350704928075800519409439684743997\

                                                /
    85233028936995291126310902095400899312503  /  57693253871450780554458832\
                                              /
    808523264678105034575856219738209388288057093577380229835357218365340932\
    531313474298773982379922945680688961633979057121091988265882729461979802\

    0724347206341, and in floating point, 0.0002951768046,

    and this happens with the pairs of cells,

    {[[1, 143], [2, 121]], [[1, 741], [2, 719]]}

The minimal sorting probability of Standard Young tableaux of shape, [862, 862],

     is , 2227481352569093693474815320176491516629412160577324784885954375064\
    456716969970777515260592732014409852289013158313670932295026716497943935\

                                                /
    38632311850629760886813486542210279758987  /  20411802139735050286515927\
                                              /
    911516547236216627222628391500807962221832109288259986859614063089010765\
    246704951995233587605874175648424451929229140743252873877231199766527966\

    93445688370689, and in floating point, 0.0001091271284,

    and this happens with the pairs of cells,

    {[[1, 143], [2, 121]], [[1, 742], [2, 720]]}

The minimal sorting probability of Standard Young tableaux of shape, [863, 863],

     is , 9178175216967954312688867795466129941031991998961569086608722131914\
    348603573993762134249014361419729099452884241133460324857505422437045461\

                                              /
    113937178240639844531682014421342895349  /  1200694243513826487442113406\
                                            /
    559796896248036895448728911812233071872477016956469815271415475824162661\
    570879529131387506227892685201438348778184749603110228072423515678115702\

    02687551217, and in floating point, 0.00007644056983,

    and this happens with the pairs of cells,

    {[[1, 143], [2, 121]], [[1, 743], [2, 721]]}

The minimal sorting probability of Standard Young tableaux of shape, [864, 864],

     is , 1792131367285819929942156132860303283545468639721406505244398738664\
    680522412716080531697220954867800894574872261234774536161706448678245548\
    612151278603585434180251648772930597502935509375843212585411858764279957\

                /
    702697251  /  1184088861170189344505452350822086808453587692621676301151\
              /
    300105743942147326438893600747469584329642271766315643981964269176351039\
    925352601059440012848760221483254562343524277299816335281574455442167428\

    1613575276346354687705, and in floating point, 0.0001513510874,

    and this happens with the pairs of cells,

    {[[1, 193], [2, 168]], [[1, 697], [2, 672]]}

The minimal sorting probability of Standard Young tableaux of shape, [865, 865],

     is , 3462533513668823674987491476550490071260992702264046127502875420581\
    371044139561567666277294563300511680926296653368996239090660224622699618\
    416151040027304401672069293733900780534637999220005655911931619780588188\
    641931402603795627928986188930863106458052105357366468865042653193629409\

                      /
    633452726271973  /  6017203656768283009054291565645242886680112302825635\
                    /
    743531546735710108966618076328872082651545907047275294544705815040368965\
    227995134859682968241385036011988133380733778582212799820863209584154008\
    816667985227387424269421973923668176144203901654540364323713669377341368\

    32462177488786242608632204830892803, and in floating point,

                   -5
    0.5754389765 10  , and this happens with the pairs of cells,

    {[[1, 340], [2, 310]], [[1, 556], [2, 526]]}

The minimal sorting probability of Standard Young tableaux of shape, [866, 866],

     is , 4114553837764088459347502231702772809450799463455584385671468413310\
    476966203164003187671551819603308993761158957643976626051547762353164433\
    886622358611207810046213545819526814758038220810603219164209983883278649\
    327770085950674388771698617398866033114612863101530260899312657189489162\
    894470330491927149933047542476121921539642315396216247099706134286638449\

                              /
    74126455891104529272783  /  37346902854108087839314125032504380019240150\
                            /
    649115058129562364180523910514299045082810685906411266257733376666381567\
    005779096734955762797601184663561480859421641500211387263355513806904129\
    641435120138621813375001789780786955361185018630690800156453302839327575\
    817307515561485337898570348273497337950578495763989046709894675506497681\

    620012473856411147417372502324851024376752195172183, and in floating point,

    0.00001101712197, and this happens with the pairs of cells,

    {[[1, 430], [2, 399]], [[1, 468], [2, 437]]}

The minimal sorting probability of Standard Young tableaux of shape, [867, 867],

     is , 2874507485032400594198870823019488503736085969381089401868436219621\
    176820974777848118609200501481326522365768324612403562105711651967118643\

                             /
    3189480488426404390009  /  251246560509393296937764556809849836314114362\
                           /
    464050095495999628746962696884439013720086372360091749126072767974792129\

    6913001025349554840512523766997597255510809830025, and in floating point,

    0.00001144098243, and this happens with the pairs of cells,

    {[[1, 129], [2, 108]], [[1, 760], [2, 739]]}

The minimal sorting probability of Standard Young tableaux of shape, [868, 868],

     is , 5869888751722997662513795493902161333447946598471829208558117653987\
    439861282126651817818169718591807617725145717371209737973226760145618569\
    410633901337181730049662918894020004688603392574643763151829768729880135\
    947575612878624769860091068363269027573127402480152737871135853567324267\
    089551492625614865728580973987979305207404514237056991242184487893158398\

                          /
    8981710995434719073  /  869945784338937257354489553476094708301007880124\
                        /
    788327098060843494434959434534240550109680157267278375623253292346046551\
    459810818292139200957395832790804225454435120985688270099736010346342356\
    278740534306608358209924982464146547945031878031967601839387876311661825\
    925292375142558373391718643390875178122770383885004461755868004673041960\

    096641682684955233320819019169054239495513, and in floating point,

    0.00006747419043, and this happens with the pairs of cells,

    {[[1, 422], [2, 391]], [[1, 478], [2, 447]]}

The minimal sorting probability of Standard Young tableaux of shape, [869, 869],

     is , 1089487676207302644833476922013396849497453500775947694923482170430\
    536007484087485903352067155538579309421190923724263704351385946245280576\
    442237228853798641788226697487536009086347681962337566259714208883070004\
    325390655488873464029507688818783246862789094903399737043692148795889178\
    080898201241782917983314242671185126753236090137228420373402960720831577\

                         /
    238869097047154559  /  9512182673923001001043367731056953073598919090367\
                       /
    919502007010525999997007017455579070373818500514686221476850344047758451\
    744574694373285693999059301378121098674634771414528136040397144458901748\
    444672999896629830293780613879116410027259218184224528638709428822771083\
    994188907286486095099524002857566674845316644371755771281090300940292238\

    323712240564067759952301325682820702659, and in floating point,

    0.0001145360338, and this happens with the pairs of cells,

    {[[1, 419], [2, 388]], [[1, 482], [2, 451]]}

The minimal sorting probability of Standard Young tableaux of shape, [870, 870],

     is , 4139915308838588010089650325199289173149582016944516984290910335770\
    287693279702491422234807168673883538844622681783802860542465305381577341\
    819113949947120358571179137397723221526338698448900105996005573569850956\

                                                           /
    8838423067608358386670354249495109854266177719991319  /  486381327252645\
                                                         /
    443172761364859083152705805024874437292265158591651747622570947714354830\
    888812653371418066338023208106088911079714964099430493360611832912443313\
    260787367316743625163889650291275870602619961918162320133946831059236554\

    39491939428450897963576517142380774645, and in floating point,

                   -6
    0.8511665800 10  , and this happens with the pairs of cells,

    {[[1, 236], [2, 209]], [[1, 662], [2, 635]]}

The minimal sorting probability of Standard Young tableaux of shape, [871, 871],

     is , 1511984172272910665959186650871180635443308899480590969409743539254\
    082056237686664047645208161908645217553528467878958983214340462666229241\
    345870167544489254883404040045446391497221385761629373589477784090861891\
    654714420491529316342074878555357824002997444644944742259085369391412556\
    840320517919949735218310340875139582631579917678789248609106372270475202\

              /
    2980649  /  114796689880379163916847667833235500049309651528292572000998\
            /
    994395532523080073366866643026981630533198392437485242412362144455591204\
    255543093673706604946282993028760896276647180180626553132607510692082034\
    630006348256980156739371061876265457666277850847901353650624434215297135\
    863155951174134120968110405654235948304777231373715183336646025259032830\

    021989561560902511, and in floating point, 0.0001317097360,

    and this happens with the pairs of cells,

    {[[1, 413], [2, 382]], [[1, 490], [2, 459]]}

The minimal sorting probability of Standard Young tableaux of shape, [872, 872],

     is , 3712404941680275716022075086875248019115985150796423194352278937845\
    664010013959446270897565997116421304557459665414616964843694576936393449\
    322729415655290691174740649563635430832472810921626923322187672330612364\
    344524879404024258143036539344458510503702854666186562234939181946433411\

                                                                             /
    1100617393692196086596508169548744851041511828590762438331860518536803  /
                                                                           /
    113634411906610906704959306855126619478999952143527089001237227026153624\
    454430020822897790015800127350542885069471083883572589905930409798141505\
    690555167606589858899912760911880922592988764472484771588470919971196086\
    546261000937950676466753047050645289883179518133710104573351042583093773\

    9671577801897736027201795054769968215597839542252890131061127148840997,

    and in floating point, 0.00003266972460,

    and this happens with the pairs of cells,

    {[[1, 411], [2, 380]], [[1, 493], [2, 462]]}

The minimal sorting probability of Standard Young tableaux of shape, [873, 873],

     is , 1035736029274394454647672070179794690607259158994898463121881831989\
    294311929019108611237000881464503693544984473269080587709616523406325037\
    765589921389155190782858679354225316317295049799336533687042001298355003\
    072330507402348125903644526815305046295577172809422585769331126096826599\
    855516462877259375530582630572032609229842243373090468764833305953460848\

         /
    61  /  10804498462631670632564488163232823280818777644870145289419344371\
       /
    533303873644833733525052237860831962303459637874907571606037424585016937\
    277779899479559183799937674275534469405189194437216834293208771377654669\
    544215611363064580157103916844814778266879339275492949419173462473940727\
    632974435838785103590247041272131014296122424174453226221241913706155605\

                                                     -5
    222741061, and in floating point, 0.9586155552 10  ,

    and this happens with the pairs of cells,

    {[[1, 409], [2, 378]], [[1, 496], [2, 465]]}

The minimal sorting probability of Standard Young tableaux of shape, [874, 874],

     is , 7794920656274822937597492572635068308461460519669855084774746000532\
    850092870504365854664295502319341579012919068452919395078103675346651100\
    445474673453115207314363902107433607109672187981137535976179790742891545\
    335046636470193137375108991184282506163109352810884615388631382222478029\
    254700688506720368227558644274909389651319011775506006194069034701293813\

        /
    9  /  164563721135287956365215002800067500188233692638083206805715733365\
      /
    899580359699429228145303047453125005615902243831416979910613607236482906\
    924860369579685214459382013595106521803535507252116909417922612003162229\
    239273522678934799777336902597135288859966919915311095338239223556882747\
    818712636533195954421635406298281447038586530364165529280816244504392696\

                                                    -5
    81018861, and in floating point, 0.4736718763 10  ,

    and this happens with the pairs of cells,

    {[[1, 407], [2, 376]], [[1, 499], [2, 468]]}

The minimal sorting probability of Standard Young tableaux of shape, [875, 875],

     is , 3795060307711291877732610669134447526788790924740831007055413256961\
    255289239707395947457871201591757372982182844603257363685418173820183612\
    568282260210998228454235564125115931290333051936173377683133073721924864\
    809329932252727643059376825279674426797582783451144617707970641925771877\
    66680038763729177904617835886428818339522109524304267371048202506975449

       /
      /  5030026717499059432627554382535022642572883506606786077875814917617\
     /
    439303741676795473882400857445748486007766487668410079944673214734071345\
    911998746414335965314986511820623495816601887131950984224388299454347727\
    496733184677710218475999544747824224411821416283630066347517209076171605\
    725344897053564638104765352152098051356380985978645124706910132493895245\

    951, and in floating point, 0.00007544811431,

    and this happens with the pairs of cells,

    {[[1, 405], [2, 374]], [[1, 502], [2, 471]]}

The minimal sorting probability of Standard Young tableaux of shape, [876, 876],

     is , 1559327615244781949615552068794103141774700741534613007335228105212\
    416124350529469939983168598413063247794774888633225286805172338470155495\

                                                                       /
    9477374358171173810640905994884073422156800092987264413281013841  /  125\
                                                                     /
    760659794169473844933696047755963204161602824326821197214664278887648313\
    174026086219184487281163206014742715922238819770457129711246259151314161\

    364561189864387517476000641473025005595111396685906698439099,

    and in floating point, 0.0001239916853,

    and this happens with the pairs of cells,

    {[[1, 174], [2, 150]], [[1, 727], [2, 703]]}

The minimal sorting probability of Standard Young tableaux of shape, [877, 877],

     is , 1047273206124631938340257202088030082880057802625474538122252595475\
    327920905124207043982740677829499687306628722041659064522006605080674178\
    657573379180700172696005819738379458387772840306769357386429380519622194\

                                                                   /
    514458026468477686216037513254882088184355842109770999758973  /  3432553\
                                                                 /
    002185378525302928907931116626931581471097000381072901908398267405267195\
    452764588356055873538802081709798298682756502580361483033077345648818731\
    547001736486576277589035007537160161740365352014153536343749961410668561\

    4093140015238027131402664602239006002559495651975073, and in floating point,

    0.00003051003744, and this happens with the pairs of cells,

    {[[1, 293], [2, 264]], [[1, 614], [2, 585]]}

The minimal sorting probability of Standard Young tableaux of shape, [878, 878],

     is , 6926482865038175814579075531709326089088445550374433750746665457343\
    641297176149252769702065613964190230880287072419126003021889507087726620\
    509454905821250311636391719815067879842730728396047287046814038099295410\
    958272102860108765841282263055384665015642639202089159972353858672251240\

                                                                        /
    48635754972248997626828418841342721991878552235748479713376969599  /  66\
                                                                      /
    678566938746962063341442363706165095198129259772932775804080206456124904\
    976857344511633574729546111965279313980058210419383044299763323081353922\
    621946340726360347313887421324797026974613011788689805639573627011748462\
    330258214268095573750901314861656960513451367906154931277806995477287380\

    96860707349179379405758850431663234367177441166107851282935401,

    and in floating point, 0.0001038787002,

    and this happens with the pairs of cells,

    {[[1, 400], [2, 369]], [[1, 510], [2, 479]]}

The minimal sorting probability of Standard Young tableaux of shape, [879, 879],

     is , 7885217074713617097817653080235736038067310010245553644756136481296\
    154110818926684279693356787569210309813035380182838455802174106635873033\
    810855175177813088723779076909234823554877804104614568486455903701961358\

                                                         /
    43162344085991528646837041816561130636887401236199  /  60260772718007681\
                                                       /
    171632001914368617297575882603021036831724513638705380187185374585541166\
    800077324445547138109695758909382991457578536998190982777694037417598627\
    910081167994921004316862824997824693299217019814892148040143788103540155\

    11415089509678788604661414388804, and in floating point, 0.0001308515759,

    and this happens with the pairs of cells,

    {[[1, 261], [2, 233]], [[1, 647], [2, 619]]}

The minimal sorting probability of Standard Young tableaux of shape, [880, 880],

     is , 1101620761811645025001650504891166565300155967923068540585734747112\
    652812864546445664896339682966299650230913929634472183937370525754183184\

                           /
    22949356402455696311  /  55236343656052506499476727424037541619327126304\
                         /
    565819168833538021875505245080572590346388355344682120563192925155277500\

    284993841289121067999220861835776304952501679, and in floating point,

                   -5
    0.1994376689 10  , and this happens with the pairs of cells,

    {[[1, 116], [2, 96]], [[1, 785], [2, 765]]}

The minimal sorting probability of Standard Young tableaux of shape, [881, 881],

     is , 2387477328278917346849293613719284316089843564745170840912312534141\
    137601891851129937048778278476544539238210634575510173752052759355489242\
    356328996823730838914782255078802347631059004462177339318294849692991668\
    432729464576880476928955042496295161326547116264402689335217405938231978\

                                                                          /
    7372365859789518294681310621709256187681246316911512873172989185013  /
                                                                        /
    372992834698927931152719768966731897132013193428130296534258230056722119\
    727294800384124688281401829037735129773826914083434982123905541758326730\
    337410482445821688192759398815887256864494908085026277303707944826411133\
    232788215455616048685265765254770122435054924759657830814981165099590795\

    483833129685013128721148854600252572644961216620647684712149999588,

    and in floating point, 0.00006400866468,

    and this happens with the pairs of cells,

    {[[1, 396], [2, 365]], [[1, 517], [2, 486]]}

The minimal sorting probability of Standard Young tableaux of shape, [882, 882],

     is , 6930090916804419442124822384019538412491970328127195817532704659187\
    375969100157672477192339711650030510881262389366612782575477023708690064\
    553599323760571056994494666541141248741122722670297975727233059000697835\
    077615418476123503145885668966945304402867098705410178754815716158339613\

                                                                          /
    3831597060287880377036002976189167768556078309570320749311826664501  /
                                                                        /
    271842235458540695585880509585923247062314700295078012728357693092187307\
    597858922313853586374580994044451026784314530603181427649626072806916091\
    601841538053734450716756849984460204155479339790781863119651553009079300\
    491693106179516781245193693321273140079785792621445537712613391513261088\

    233980077567043466695074588945946790232768344316743227841058474276,

    and in floating point, 0.0002549306183,

    and this happens with the pairs of cells,

    {[[1, 395], [2, 364]], [[1, 519], [2, 488]]}

The minimal sorting probability of Standard Young tableaux of shape, [883, 883],

     is , 9706728379372514116939696077316856873301854986858010744632773388035\
    286055115143320436454423579676296623992277085232777413102451731677867090\
    179358551501315848135763406807666997351256758539073332632880617622919183\
    269770818684336506807852403319902582145132241185034295433092287655695468\

           /
    1979  /  323132993793856281930265751500486131121099533211411655024211292\
         /
    847230345619678849763808436395263569296231210094479857193588687631768291\
    166296990902709414147094580169877331624341842275403461024183479262890619\
    870527537896740459384304204210736905499322619516464455839491674542695501\

    6634930216354, and in floating point, 0.00003003942205,

    and this happens with the pairs of cells,

    {[[1, 331], [2, 301]], [[1, 583], [2, 553]]}

The minimal sorting probability of Standard Young tableaux of shape, [884, 884],

     is , 1412290866011874921606930125791983134667980283391762441752239526209\
    734619570665424255542233873208594310311417538613084908087427943457096472\
    869140225980991000564312906906745563025867578535426107880776124220913540\
    247912671085444038292586595292545789115786368267893059667798045218067464\

                                                                   /
    512079298242089845560704676973118321798298129622694411687637  /  4731908\
                                                                 /
    216455534197974354789646782608447340776780739832538149319779692887909964\
    463796563435589306071287597140358166792058398709105177847900368653738427\
    161108939045575215106629343120147822380792475059490723453631000374697271\
    889648821671844435014754215225158576522306500604579425775848815144818908\

    1834458534412895629400856529719289138635194472598188, and in floating point,

    0.00002984611707, and this happens with the pairs of cells,

    {[[1, 392], [2, 361]], [[1, 524], [2, 493]]}

The minimal sorting probability of Standard Young tableaux of shape, [885, 885],

     is , 2215477961996214253633413474531114417644554652350756682473082652017\
    529601727266115645292125740610147898077097738792691602013437022247826157\
    601654505381717641318597117776400602103427436709516017324676318160402183\

                                                          /
    310952899782895819714991677746685655737108712383981  /  3382207432181083\
                                                        /
    765717151541510565259622357747517859034905124011603733254126791845502640\
    438914104153273977775365769430073232858719691724289015411319967607446477\
    695586583894595098997774449049111005987819578988919019525947930018383171\

    83773060611828160153813962288112716, and in floating point,

                   -5
    0.6550390555 10  , and this happens with the pairs of cells,

    {[[1, 260], [2, 232]], [[1, 654], [2, 626]]}

The minimal sorting probability of Standard Young tableaux of shape, [886, 886],

     is , 8481742772638805381272824789935104866874605216604443267288563770466\
    888993778401590056869046698017294622812555208114490721596597818659628463\
    544630915291658573670490771149113573501290193740797063403018639835028865\

                                                       /
    644976240886325744056253073713192157955206777033  /  7469265517004651902\
                                                     /
    427041438979572930755209551696472954018038791649309769748427287816080574\
    022424111207643733156827682779638958754370996090014237715916796667190486\
    482725202431471514323486330292977816244405342329570409939252050358100396\

    1154345082238134147189676363, and in floating point, 0.0001135552452,

    and this happens with the pairs of cells,

    {[[1, 234], [2, 207]], [[1, 680], [2, 653]]}

The minimal sorting probability of Standard Young tableaux of shape, [887, 887],

     is , 7576325384474532556217737352755873300572319554506302181477471829329\
    397991259669597398841611826213746865421047096786433294896198687361753479\
    395110560986850734734563362135871329310238606594782839670744305757953824\
    325459389883925049695341692420470332318148220683890365623114614461542792\

                                                               /
    46326093181920095333500071448728843731724512199739620317  /  27477166258\
                                                             /
    285351403704933727664551613199489783806238030325968175233875702009517420\
    102100068117412461203387514135140433047672892364527296402070205509912668\
    291097023881417898480241966281321629162771012433560600414842382555801513\
    301387977762476998782247988598275161107908678970819725822087632098193778\

    68446606119002302208114848425682083472739367, and in floating point,

    0.0002757316862, and this happens with the pairs of cells,

    {[[1, 389], [2, 358]], [[1, 530], [2, 499]]}

The minimal sorting probability of Standard Young tableaux of shape, [888, 888],

     is , 2272388411425904647034273344603294441091448456616399472581805971370\
    694409590523990649916453826318146997828610941370994126117037778835462825\
    939646101719104422422085719979666818814925829715443443217259849463538736\

                                                               /
    24757571172373331266614482299942973922130255088735510311  /  14620056315\
                                                             /
    941587053632429759354906803958097341996698948465655929143860094116899004\
    692738205304969330211208460269596767971073042130515199037676645754504850\
    819468682302790375631941602918012615711103956656061501364409702536368203\

    68227258278657219512675987038788182694138847, and in floating point,

    0.0001554295252, and this happens with the pairs of cells,

    {[[1, 290], [2, 261]], [[1, 628], [2, 599]]}

The minimal sorting probability of Standard Young tableaux of shape, [889, 889],

     is , 3002517441161388218513026032475205182881763966429908104412089869198\
    901914852736083333605853435291463334103829374524109098900832642390553886\

                                                                /
    208978515747082208647552926880219754507829977976943151549  /  1110800011\
                                                              /
    225187606202922009877225831221196918515830593039474162739512949357221438\
    464196926532143399964970134040992506573189836935398018047656335264719875\

    1355635347769955805561028922775651980906273631, and in floating point,

    0.0002703022516, and this happens with the pairs of cells,

    {[[1, 157], [2, 134]], [[1, 756], [2, 733]]}

The minimal sorting probability of Standard Young tableaux of shape, [890, 890],

     is , 8455852028419700394764577448874463415723200679179170408049918518415\
    081345351332769054843781154381920886522722656354053729480707310064848820\
    250040713472701047649435506081436305405077567146750612632862935391419501\

                                                                          /
    3411940081706926574471750895633040038874867955830081153905886023281  /
                                                                        /
    181430812521836286384975611869771727941762009807822552258784879715379333\
    896881404568354351875360215483379299087349503486094942561288635271049643\
    542101226984279523436755440827914337651459777446645455666753635744973709\

    1827020337144593631193079421995960478162204382818127546124721255781,

    and in floating point, 0.00004660648272,

    and this happens with the pairs of cells,

    {[[1, 328], [2, 298]], [[1, 593], [2, 563]]}

The minimal sorting probability of Standard Young tableaux of shape, [891, 891],

     is , 1617780557038892951564477539812056763486085185794375299431960437992\
    004047973535947975298484146951886958950297943620698665695609406770059972\
    302899675914349746144904787336397264909556414200338104951740673059923497\

                             /
    8104549859498218585011  /  697610005872232765997879391006147868200931387\
                           /
    615355563862293717971214784522005241796913093148451884896906608437121083\
    380723936735806803586422923548587181517208370710721950764949163566121014\

    482755155194308247771749863072305219147475749619, and in floating point,

    0.00002319032903, and this happens with the pairs of cells,

    {[[1, 211], [2, 185]], [[1, 707], [2, 681]]}

The minimal sorting probability of Standard Young tableaux of shape, [892, 892],

     is , 5884302893091067535668726989121637929089833460015597676462087230623\
    799314310287076231986148315237165370908954288339235645642815965266756336\
    407863241903855725039618711788382516529822556600493008534286881475452815\

                                                                    /
    7033778950941156140255836855128744469627178635060529704786147  /  352280\
                                                                  /
    741096784293913711342695959765941998893696886520095745081350849390009565\
    375015460084181808751895646642974952517722468078999942508278604465395087\
    104268030640781805819798160634269037226083239793035824589251967555437453\

    438568105925548705741451413190284365737251653030752945,

    and in floating point, 0.0001670344758,

    and this happens with the pairs of cells,

    {[[1, 289], [2, 260]], [[1, 633], [2, 604]]}

The minimal sorting probability of Standard Young tableaux of shape, [893, 893],

     is , 1613748042640221740246028805870077848589904488027655334566300539344\
    971896310115139884956918874507888404502586121490851672209426034436726139\
    329613683217602371495408968415454013174102508482810585561732879967624838\

           /
    7787  /  678475986843986049460156610068202016127626700317050237555011876\
         /
    266945341228601164893520798290861701205683793606447750149952140586288877\
    304208581495769499306428527099872376003163606706533650638313036370124670\

    050687671433, and in floating point, 0.00002378489547,

    and this happens with the pairs of cells,

    {[[1, 191], [2, 166]], [[1, 728], [2, 703]]}

The minimal sorting probability of Standard Young tableaux of shape, [894, 894],

     is , 2775107090046309933779917867293975862027025196671653472140581556382\
    184858070194364482795334725354610290674751337313060982293818408513431851\
    926623436467289227089197535140530859438339258735961180540408959576593413\

                                                              /
    2495570063359494324869740848540279536647437980151618873  /  403096721744\
                                                            /
    663214468908269789370944003298253110471752169314997522688318337006189347\
    273585467896850317663218063467238732419244826831265269677256802312343241\
    463266036911250595320736284914312470323702250971048863715015859715548451\

    5117740180215335474687603821669754329414583, and in floating point,

                   -5
    0.6884469509 10  , and this happens with the pairs of cells,

    {[[1, 233], [2, 206]], [[1, 689], [2, 662]]}

The minimal sorting probability of Standard Young tableaux of shape, [895, 895],

     is , 2966407038564535056568857844086248627587241258127995419841504658751\
    002883045587009784628374719084534824297660230979614711779527705473083809\
    580886227885854320133691557324072864946604908908810565642625060764521094\
    09282197182449010512479572655893791502007776977545640761963870295155417

       /
      /  4227096708890954048048409574240070442980557555622724888451374016528\
     /
    126290619010384192893581138752366814871943080690002410368702651882463800\
    805412207055912129974765167051130781813363636060383168816940524061736317\
    632321906630680126977113056529182748122832496432585230848398550888648352\

    517, and in floating point, 0.00007017599177,

    and this happens with the pairs of cells,

    {[[1, 326], [2, 296]], [[1, 600], [2, 570]]}

The minimal sorting probability of Standard Young tableaux of shape, [896, 896],

     is , 1419278956730598923171814663366053046684438229926215028238592715232\
    714466562339241450660108727807313127436299249939161078105445851771199711\

                                                                          /
    4681937255761496111988365902202022833324168360503116117919085924611  /
                                                                        /
    342676143907238638460207713625024246856913243433106432794503483731545007\
    329804706460586924931494530600213127932728509752465193736470603874326353\

    404288626905994590937504186892025947222241610775372029969063732371,

    and in floating point, 0.00004141750110,

    and this happens with the pairs of cells,

    {[[1, 173], [2, 149]], [[1, 748], [2, 724]]}

The minimal sorting probability of Standard Young tableaux of shape, [897, 897],

     is , 1895635952745679055716495956945320096298115315522766252080999309561\
    343339001292118894123887296401541420037880388995753680413560560945521322\
    914274030320222805739066678759768424378102012724554270147301671402068631\

                                                           /
    1603032553395220879812891309468238752359939173885105  /  780575170741460\
                                                         /
    480676118064151691510454302737025852669213427217979960559741002928103510\
    262777890252867656338820010767022475801263295002716601006183178131825384\
    370221373030406541057795342859536322342165108549896568436603196001429359\

    4926451668187599059131981527180535471, and in floating point,

                   -5
    0.2428511723 10  , and this happens with the pairs of cells,

    {[[1, 258], [2, 230]], [[1, 668], [2, 640]]}

The minimal sorting probability of Standard Young tableaux of shape, [898, 898],

     is , 7047349091562115768652665151862100976161091537950065597471666574744\

                                               /
    4408285151749074177748312251457548576817  /  360137908651173000488362118\
                                             /
    314960731647451713946041044330101789208132708869436695756861324027683929\

    6247704782283, and in floating point, 0.00001956847342,

    and this happens with the pairs of cells,

    {[[1, 74], [2, 58]], [[1, 841], [2, 825]]}

The minimal sorting probability of Standard Young tableaux of shape, [899, 899],

     is , 5288253690974252628866142013754998540248290267225456773001466384451\

                                                /
    20351042180204605633779689801836501032357  /  90585377982865530356790783\
                                              /
    568964028062253451504244157101146778773227381421088666185274117075469629\

    08918192052857, and in floating point, 0.00005837866782,

    and this happens with the pairs of cells,

    {[[1, 74], [2, 58]], [[1, 842], [2, 826]]}

The minimal sorting probability of Standard Young tableaux of shape, [900, 900],

     is , 2079640327453092335148903265410684209715821689058880412964101500890\
    188136554297723175712567412952699572604671931771445930693395888628303466\

            /
    01883  /  56283675405455277871398001257016392793084146025873661369908041\
          /
    243177613504620940500142592129403296784388458601149341090502704853511590\

    54621866038097, and in floating point, 0.00003694926304,

    and this happens with the pairs of cells,

    {[[1, 104], [2, 85]], [[1, 816], [2, 797]]}

The minimal sorting probability of Standard Young tableaux of shape, [901, 901],

     is , 1199539235314557765891181447055491594655068932096831780601587944820\
    477261858529995159808982775305864127696369364163197750937844163702758151\

           /
    0449  /  153277334167851081073575673663506151876286493872345824516057614\
         /
    623505484284430335597593952225145294344251151377784106730369666340819824\

    556181947509, and in floating point, 0.00007825940096,

    and this happens with the pairs of cells,

    {[[1, 104], [2, 85]], [[1, 817], [2, 798]]}

The minimal sorting probability of Standard Young tableaux of shape, [902, 902],

     is , 1105119484277978779825250007791702229197342616888318286122233261162\
    454077469451878880198137380536529283608653460528860412627600973963077659\
    396759476208004862743713266919382651984964920560804759638830566181891411\
    656658348656176994178006457839650837039018912363827099331262685036116033\

                                                     /
    9812322159238151790793785448581440109643325537  /  715829805408688856325\
                                                   /
    909857004659103410743293610056207632614486098082037046472917449057556946\
    656538427001807586104535951565516771271277785277793290996026610576327345\
    045428466185319670290183579676652184476444608509741604926731146643493404\
    769246772727886658804273334335594901405543516466631027833050129950116088\

    55509158460345138614537, and in floating point, 0.0001543829938,

    and this happens with the pairs of cells,

    {[[1, 375], [2, 344]], [[1, 559], [2, 528]]}

The minimal sorting probability of Standard Young tableaux of shape, [903, 903],

     is , 5988620072540007988246213237039461036311600681543961867217522668145\
    065562068728113351363919206322569696112859586281337990309521514227532086\
    252243196094145885965557541499277804893592471077416167618430894300821592\
    220442478036195058125736144761638347839030951726936073286269755377953006\

                                                  /
    4262922028634083464128343636617098375923101  /  143082147271620504024330\
                                                /
    898907847725780018104183995511937940003493720504185085746650769219796145\
    281160870981026243191513276037892727135059531147107592247520220575592093\
    215190614946392238315526923743306924705412255438858892271258716897987572\
    008010940842110440931108895381100138768002371434988418582404497848745642\

    4411547379985625899, and in floating point, 0.00004185441851,

    and this happens with the pairs of cells,

    {[[1, 374], [2, 343]], [[1, 561], [2, 530]]}

The minimal sorting probability of Standard Young tableaux of shape, [904, 904],

     is , 8923853137930125458231570362033532222391841193442981077707356388164\
    651558369073415904620449918508522594076138268188454807648516296368573919\
    617414771614258595109128442279637118292164046584269137498661161314883050\

                                                             /
    310384366512289556672369788137220549748789596165144698  /  3549748556459\
                                                           /
    879814585044517019100584416729776764066082548815137204109172666407923662\
    889268757356297423014142119310604671350644481884105846168558774707729171\
    885952043346317370775613667782650441831691355538252896938083413939408549\

    2624200533919070930488645860616697393891, and in floating point,

    0.0002513939508, and this happens with the pairs of cells,

    {[[1, 257], [2, 229]], [[1, 676], [2, 648]]}

The minimal sorting probability of Standard Young tableaux of shape, [905, 905],

     is , 3392897405874874145082206055336875760593754056376962523317495505593\
    989208461366480362753498752496478082423964507736519156981674453495350032\
    502392852460948227655554503243811568105149632549993259337199527624750526\

                                                                       /
    2435319870437761986627364758962608576357678164394622845605728287  /  370\
                                                                     /
    790936597422266316551869568073329367270013038762799266917509863829164567\
    931243396960509574814817420483946622268528687313226838808567993118970106\
    350271983252396096394499030153206829016175087423319943670943353118558123\

    325959381004834468325623739954899815167789652088635792537377,

    and in floating point, 0.00009150432416,

    and this happens with the pairs of cells,

    {[[1, 286], [2, 257]], [[1, 649], [2, 620]]}

The minimal sorting probability of Standard Young tableaux of shape, [906, 906],

     is , 3990873182041970982520569120255422383569680321703981263831485362062\
    508444953781475241955698443199853076927893478060577124179403976483602593\
    966940547902451911674161598567923214141674606372730448002733699885373621\
    919621395430126179282899945741230187894948773038649461807460139336665847\

                                          /
    76661176386370178921405923194874331  /  26888478256697474457730525647464\
                                        /
    828473006318381710292542047253621183890372250104386292289641548061783748\
    978179965542960120240392983971023449078426023022875601746379348784240327\
    526582371665009069242835264212373798438363308890732836583036722697636597\
    209671887259828183263401880479852507508577307348851942195755647141374553\

    31, and in floating point, 0.0001484231701,

    and this happens with the pairs of cells,

    {[[1, 372], [2, 341]], [[1, 566], [2, 535]]}

The minimal sorting probability of Standard Young tableaux of shape, [907, 907],

     is , 1920199321509966420080950490927054439265747465830207847308932180601\
    062308169149457097270249167543504911583933808625890057170504179694880766\
    882424008946005164439580436649383033245002976560925117973693791048563881\
    449691500900971090795627416622737530751829781272847012798152813855509599\

                                           /
    216945069917955828251758645989124751  /  1812961131414860539819963003084\
                                         /
    278597948757840478508119992796239172661765171568688312382212730670312654\
    044884174104650901307595672001745252863066675731832509974504290271154989\
    263963672693315253381314287034881450036138784480692476026002213116068208\
    281489844293303193099999272757286156829930094603385420617496235247419787\

    4249, and in floating point, 0.0001059150849,

    and this happens with the pairs of cells,

    {[[1, 371], [2, 340]], [[1, 568], [2, 537]]}

The minimal sorting probability of Standard Young tableaux of shape, [908, 908],

     is , 1161056796019161140415049585327931859450590942098719943070257067471\
    238635536566934787214261863207114383844374427147602019755339957531743142\

                               /
    588642030791859379525021  /  8081520448856219569369876778084210897823718\
                             /
    561677531021733203245685377750418390783539909829336844005187065232713641\

    452825108350139445674698301878744246125453736288740, and in floating point,

    0.0001436681134, and this happens with the pairs of cells,

    {[[1, 128], [2, 107]], [[1, 802], [2, 781]]}

The minimal sorting probability of Standard Young tableaux of shape, [909, 909],

     is , 1511369669039160234002566247988940087283741202428884111917168618357\
    228294014183689337248895713253291774054969247335144612088105245777874427\

                       /
    4395053292783867  /  134347183044456221853407533631748693317546938884821\
                     /
    142762463065559819425980290434277685770345061741616302577263584158207685\

    41327491847050401140204714975106316681, and in floating point,

                   -5
    0.1124973099 10  , and this happens with the pairs of cells,

    {[[1, 128], [2, 107]], [[1, 803], [2, 782]]}

The minimal sorting probability of Standard Young tableaux of shape, [910, 910],

     is , 1093172166199387979656853050891677203947855426298983553588480235982\
    602942396625918715494013343818897400476310500595134533541120590163983079\
    503696985883704604354537886995018905854689136556083151537993868566985059\
    562510521340361297515571355498027919565597338031663865508732228200834201\

                                        /
    192922558516935989832700554670151  /  2309093776866970382479332530074123\
                                      /
    892971573932085497530701131754597339616384550054507766028786634050223957\
    066051542299750433056429072697364574983827076049443403031654750124455386\
    510962827175128194860093078181206965055670619235542674303024691751892026\

    6125711575252642988206555465596935959180647538590058814039849120528849,

    and in floating point, 0.00004734204289,

    and this happens with the pairs of cells,

    {[[1, 369], [2, 338]], [[1, 573], [2, 542]]}

The minimal sorting probability of Standard Young tableaux of shape, [911, 911],

     is , 6325845258139616516998553946155868856936709592117757134489435105140\
    044400639674131097660082594740920107461171199224350846122874089852968021\
    606022613793639165282427671727918130637873261363570953393039536932566952\

                                                                           /
    49284346285700043786080837672835234471430506103280412195242887017079  /
                                                                         /
    352335932938380144889446646506590415399952055828420931715379465770597301\
    066456781978075271087775915390227074370500400681399649992257126165254732\
    233120869290225983613468188276356309495993597019823944889521796722367980\

    7539426889951841725302048737568774432141553178468307294925843036971,

    and in floating point, 0.0001795401680,

    and this happens with the pairs of cells,

    {[[1, 320], [2, 290]], [[1, 622], [2, 592]]}

The minimal sorting probability of Standard Young tableaux of shape, [912, 912],

     is , 3873951180074818286061228537611951702198218144508757578019556260950\
    672494072136716034618008998954638661123919080738952912110972378636487483\
    414976716210797157147520883137310382336199848536009515826513218681159252\

                                                       /
    638776615424689532185411118073035238655574332253  /  4279872322182558777\
                                                     /
    849286492298946869671269364719095711919407917881445560582958006194529949\
    798240385744844865316330835853581303618317166854015492714715469374493024\
    273169026138960354322629545378245980810334296281936334925139504447361300\

    6758213468029781815544278553, and in floating point, 0.00009051557823,

    and this happens with the pairs of cells,

    {[[1, 231], [2, 204]], [[1, 709], [2, 682]]}

The minimal sorting probability of Standard Young tableaux of shape, [913, 913],

     is , 2164778661491635031797434739938879589527626370130642381340721314991\
    616398064464725107059755896639155927113486337017679616359026309769031011\
    805410733321418263122909470107753096413711078613849695105575482025053410\
    078994340127899477932721878582984086529153027304626565328898771090260188\

                                  /
    535268019358785888341295057  /  2730507836095162801296194654075066072513\
                                /
    771769439208657976407384929724232117926967543146717678347068606673485621\
    830733046545283276635389180879026068867033687365691745382290176288982338\
    015640470165664835110121400076192489372472423975814091593834336863201505\

    3744875022981840943641740445832237762032720833175362932493,

    and in floating point, 0.00007928117374,

    and this happens with the pairs of cells,

    {[[1, 367], [2, 336]], [[1, 578], [2, 547]]}

The minimal sorting probability of Standard Young tableaux of shape, [914, 914],

     is , 1022708255013296052543358672206653435052758369233750375412641077083\
    903915494932902339205657464774530501701549371992617947840748828924365566\
    079683626969192422948943502357661462642991597827863238201532548994262617\

                                                                      /
    573257422173494895033350393350576586225394533690906233471436041  /  5669\
                                                                    /
    893874513638803249693929263825653878023210772843886915010785957807851722\
    984364466729153454418173206286558715788340529064013232171819986223671346\
    104287860906790759032210393372612293088099823486926915693532210443914784\

    747243007763283430385139570577003773916463880051788432505,

    and in floating point, 0.0001803752024,

    and this happens with the pairs of cells,

    {[[1, 284], [2, 255]], [[1, 660], [2, 631]]}

The minimal sorting probability of Standard Young tableaux of shape, [915, 915],

     is , 3039674034206023621292458200973733546779142484719277904910671462383\
    603803254802787860635219360623677264240707339857103832230409610632815534\
    102488528825112857422565416777097863558306141529065761898590293386978391\

                          /
    9290002929958672759  /  131253955666051652089941764072722962462755530399\
                        /
    558444184956209034490388280969084657458955408793081727175194483483683703\
    741665706724054652871150124957547087043875830754139007261198547907666940\

    9821046326315202430261071657315051070090159, and in floating point,

    0.00002315872325, and this happens with the pairs of cells,

    {[[1, 209], [2, 183]], [[1, 733], [2, 707]]}

The minimal sorting probability of Standard Young tableaux of shape, [916, 916],

     is , 2190967840658778579752619735791499401146333016664446321937252374318\
    055656236563038718371404766584328084702528290235646981108288672487499294\

                                                                       /
    4085652232524520854157440682189999298205323614466797969579836649  /  199\
                                                                     /
    605008165722641967483710262905121103540308284320918077572974181098008095\
    020629816024441584462158687970567122930467920819209708903970926030977403\

    958660677126062071429526588976718630021669208579210120390402,

    and in floating point, 0.0001097651738,

    and this happens with the pairs of cells,

    {[[1, 172], [2, 148]], [[1, 769], [2, 745]]}

The minimal sorting probability of Standard Young tableaux of shape, [917, 917],

     is , 2498711182093747897693799490478402891468386851697074044272704197262\
    246731065696695444166684784927511491485030006197072557938592061721241292\

                                                             /
    576453759336118283120281430096645316138656850762990317  /  3219360892896\
                                                           /
    405976904553580709701229435813989891138459002962165906944734695911710877\
    773302304925709095120263487120724957884814932968961205190322832308236590\

    19561607852303222726098423791895106880647, and in floating point,

                   -5
    0.7761513124 10  , and this happens with the pairs of cells,

    {[[1, 156], [2, 133]], [[1, 785], [2, 762]]}

The minimal sorting probability of Standard Young tableaux of shape, [918, 918],

     is , 7607743856704212384815418333109861799472477671742990767774455002489\
    018327405430716264547963812623720763720851792315595486216242638696545800\
    910494721347146177238189169828039871698952900703479596230640236818687953\
    951841892102581426334209852307651790379132512609114504118410639287216782\

                                   /
    9507910478188125637098139401  /  838274403715954316948462147118036392430\
                                 /
    320976486121533186763986314846921102108634630239769450731802040339448898\
    259207860464406615886690841649743549055290710965183446314908601316474735\
    786893041237800022397037734388852934372657183365902411138093184350304021\

    98839163449858866308546354937461226762434801414926069095963651,

                                          -6
    and in floating point, 0.9075481517 10  ,

    and this happens with the pairs of cells,

    {[[1, 364], [2, 333]], [[1, 586], [2, 555]]}

The minimal sorting probability of Standard Young tableaux of shape, [919, 919],

     is , 1285474036652006000718876080098491286488623447251934709744260752542\
    585464993135916807833741910488213597327652849769893782473930863221949910\
    606364265946633473977710138726904434304548878586818951487447933811935634\

                                                                  /
    64749975395689365416983963358132623376948924485026936809655  /  11796507\
                                                                /
    541420410596191070916438818082352315463116903018891603426002257069529785\
    274153956002619350073899195359278033748530457826205352021835009947609688\
    894726786174247950248076726784956765576658251426371747921383274439980188\

    68383006075724854778605712697659004337743962395463, and in floating point,

    0.0001089707299, and this happens with the pairs of cells,

    {[[1, 283], [2, 254]], [[1, 666], [2, 637]]}

The minimal sorting probability of Standard Young tableaux of shape, [920, 920],

     is , 6573177042035798887156989846344071833293286962492569657089328130903\
    917880111123392520170419860002432218606866492294451346695292657057452112\
    361183073629229654870293843951374396415682796522493443765683433269169024\
    350244644073835551072909787358223101584791143846025213163502817700113637\
    195298902349441816200706699633835751304586760183331810016937475816692465\

                                                                        /
    14536228654200813420931270335255769801203973984531298025779122887  /  12\
                                                                      /
    840325213539735588376090150206823388418736902889980410071951474792373891\
    244868581652870738682573824714571242324318654448466575115576290270920541\
    162959897842355591552965211498504859722682129144488318054116455864641780\
    732931282319008152271418893313297193905572737058937743431124878260639643\
    958992101538376363193797201841266546916954159200952542845541552154692440\

    977309055278595214392891967210184738907516245215201954268903887,

    and in floating point, 0.00005119167103,

    and this happens with the pairs of cells,

    {[[1, 464], [2, 432]], [[1, 489], [2, 457]]}

The minimal sorting probability of Standard Young tableaux of shape, [921, 921],

     is , 9035583271245667123885769048545188535462778796078903163749408617006\
    528112498568564745920144060659052699018921071373301740340311012605833729\
    782578851648861631392628147750541752770927874215591543602425469723837054\
    280671064937759053199046881745274528335500290899118349985316504746568397\
    356786192446515271943220076107570208881153738757060607466486252524121049\

                                                      /
    70337481513934180569246953418026065700394764739  /  19544503554400332990\
                                                    /
    803951300538013036531999619372904221118793813648530749512076457449833191\
    380511385558663449126804970424113028117745931996369817031027409068369891\
    607427901275228249864435880166922147923645409628204682846753980582845680\
    686059212678852445644902806624531092275554204667552774301865606418600306\
    489615002433196604489337571303076189820267166463702111068680451951049210\

                                                                        -5
    6187256581068035494681905261, and in floating point, 0.4623081495 10  ,

    and this happens with the pairs of cells,

    {[[1, 457], [2, 425]], [[1, 497], [2, 465]]}

The minimal sorting probability of Standard Young tableaux of shape, [922, 922],

     is , 2408316961374390471263560237367606320508912420844884839560495297886\

                                                                     /
    68139926362190119802241572354119872613112788649184984184872277  /  50000\
                                                                   /
    496764749656577359966590495659864843170517828331566815925044736427605299\

    79602596759721335698571725000901638497173812678648780023,

    and in floating point, 0.00004816586069,

    and this happens with the pairs of cells,

    {[[1, 93], [2, 75]], [[1, 848], [2, 830]]}

The minimal sorting probability of Standard Young tableaux of shape, [923, 923],

     is , 3279742749953455970852118949758307217871565356019245749110021872227\

                                                                   /
    094373956040342110545438929061754058891288109046003494878051  /  6849383\
                                                                 /
    118458857065391776245273378063677146646277853639289852745854305151410930\

    9624613146867612309201712341118335577723461351353151, and in floating point,

    0.00004788376841, and this happens with the pairs of cells,

    {[[1, 93], [2, 75]], [[1, 849], [2, 831]]}

The minimal sorting probability of Standard Young tableaux of shape, [924, 924],

     is , 2004150934187462736416426329132771087817247444222421866845809898196\
    121378956373713839184459155405169175200403083592950534846860839566676977\
    336137278241138927750144645174038420732596041678310186586623278799755882\

                                                                         /
    801394176147166424077670919759859683580300912165177345545471145617  /  4\
                                                                       /
    334098646580160103394704473080074106493733950030491308626674890906563827\
    191951962362397759132497218199792889396290187769683276984646403417006227\
    419220212973136148942857266727341966055101551722364902395668461994266264\

    3522025292001971243997189560576614326494335620498785473944918473,

    and in floating point, 0.00004624147020,

    and this happens with the pairs of cells,

    {[[1, 316], [2, 286]], [[1, 639], [2, 609]]}

The minimal sorting probability of Standard Young tableaux of shape, [925, 925],

     is , 2169343356120277144795707248211208759425100406974258762939935840431\
    166478068645105320998910633377246868911451054247170044624254552106400179\
    693409791319408728681236048825151478318828750475863930778406969906885059\
    417260481057959610759520037055796962832147144932534257057089855992781358\

                                       /
    36458406136708397281847288554613  /  60347487899168742108758950616063163\
                                     /
    289442772287714339254390003208776194281721880228556717469150741239974220\
    759500024427077001156656953319742180548061690790351709813916044728646672\
    816598991204804830622061082048678603346964879904624066753890525828143325\

    23827937929850069367897546632638562672204302010170853679502391152887,

    and in floating point, 0.00003594753372,

    and this happens with the pairs of cells,

    {[[1, 360], [2, 329]], [[1, 597], [2, 566]]}

The minimal sorting probability of Standard Young tableaux of shape, [926, 926],

     is , 1540615542168061842893618451824982448117174618334330949933221948324\
    936986336655910408824482109183664164725102350120228557693675799751325697\
    508343773914430354845775131426340600420311265180365490897408945700800325\
    726011630096553577351611746572597769973643861025599131689661444437334750\
    511990171295127333266526133935749910907297467333690308752595046679825791\

                                         /
    7128831747415025560843491609687287  /  248116371702744652334174937834073\
                                       /
    213871593078611106002267822602418182044878036152976164136501320969017650\
    731283571641383388557035435721015563077761027450462979238174641345594980\
    118821770714806147955159305800212330407233665738274954902147609613710062\
    586158828266029458140786455974288091217816571410265888505627267748296073\
    140413669137978503467602926341434351014984226593134671558027069580744116\

                                             -5
    3, and in floating point, 0.6209245813 10  ,

    and this happens with the pairs of cells,

    {[[1, 440], [2, 408]], [[1, 519], [2, 487]]}

The minimal sorting probability of Standard Young tableaux of shape, [927, 927],

     is , 8441487240572627772988722557907036753489634273044663022471291864381\
    911761146014446867059519027055665053818039821202386355829468514948579929\
    359372951197983184921580684036904371615171262111463554329442829504928898\
    783545087164114606246357012454252156466266425854343027896883963658643098\

                                   /
    8140727075072408895494634277  /  242744868827820343637504220517120691955\
                                 /
    806987971793496128058275724561872938776988065963864511177279241461148752\
    689421045593685343720654067359377654309902101208446769559592271817644061\
    321727562789977740144363338338681773095771613446919361798047644563691318\

    2369240249825857726364710762100868592285450564888980569566777,

    and in floating point, 0.00003477514182,

    and this happens with the pairs of cells,

    {[[1, 359], [2, 328]], [[1, 600], [2, 569]]}

The minimal sorting probability of Standard Young tableaux of shape, [928, 928],

     is , 5260410222296969711461709976706336906554894455164980223179019185826\
    309496820335803477819619534620233098455227891932463997265104366725931146\
    561554844492745367377485740386180269620764399583577654092760411150492129\

                              /
    80928205661827967796301  /  92925718813944042809759969367325981759018416\
                            /
    421813472143697402330972045088880768007232304734745082466365989002031572\
    519038529237774495119982035644311982822123589014710905733831016071187400\

    72275471181220042233308274886243414174642352677701, and in floating point,

    0.00005660876547, and this happens with the pairs of cells,

    {[[1, 208], [2, 182]], [[1, 747], [2, 721]]}

The minimal sorting probability of Standard Young tableaux of shape, [929, 929],

     is , 2840372859683606200783195959613180954314468035274990310483830831049\
    736152741799623157722249523689601830602213981243164717166278400427404147\

                                        /
    352027607673802394039279954946863  /  1013670359080846786321986851598470\
                                      /
    768226292916976870658354854150794454170851202907609644598152161333021250\

    95284395931405864125256019412736805525531821353035422474463427817468379,

    and in floating point, 0.00002802067590,

    and this happens with the pairs of cells,

    {[[1, 141], [2, 119]], [[1, 811], [2, 789]]}

The minimal sorting probability of Standard Young tableaux of shape, [930, 930],

     is , 2377237021127876068887602036764566741037882959240147605142764707391\

                                                           /
    1342348080818392928220388853724928518158433094634409  /  192416320122935\
                                                         /
    576192779766659803870560080267611251766743296956897887215217316992394432\

    543500053095343651244301592013398891, and in floating point,

    0.0001235465380, and this happens with the pairs of cells,

    {[[1, 83], [2, 66]], [[1, 865], [2, 848]]}

The minimal sorting probability of Standard Young tableaux of shape, [931, 931],

     is , 8756913523891114420781055755595757747284323616640619850028608740763\
    794472201774677629035259741327217919816136567793643585109885154596817566\
    302034484222440706060688934907069218200185629087024937561400843854596633\

                                                      /
    45926632097905927716256410080860579270190236093  /  20149099494830485835\
                                                    /
    149267023619018904510345090233620526800295316526893100481280706581639924\
    457903199675607915345234490407672491182587924483089567092196803197593693\
    828972331194736109272540837620479705927255315821639726432829594891991217\

                                                                        -5
    6411366355376047251383647307, and in floating point, 0.4346057017 10  ,

    and this happens with the pairs of cells,

    {[[1, 229], [2, 202]], [[1, 730], [2, 703]]}

The minimal sorting probability of Standard Young tableaux of shape, [932, 932],

     is , 7430544771408107661438965216644682392604629402241299691331466632713\
    244392826261874672600624455718115688237894715098770307314400982687090085\
    758191255190429644466461323267585310767419679540696784387165657174031379\
    197784400015749463755119467741359118251656941555826980030485249087796815\
    426459284384977317491436334721215193755101561267681091318376144520059608\

                  /
    84005658553  /  56849340284512517847023400214237395396456455979625222619\
                /
    006508731803102244805696928308779511179557381426437231339080184288073717\
    624614769940655581173432815765897690275494377599871178099259597398169736\
    359483682110345197785430429742022228620806365587208658017727670276793137\
    328216474678255969414302171945405577076045594738277353413581543720746365\

    047301140934200540554563797, and in floating point, 0.00001307059103,

    and this happens with the pairs of cells,

    {[[1, 428], [2, 396]], [[1, 537], [2, 505]]}

The minimal sorting probability of Standard Young tableaux of shape, [933, 933],

     is , 3027270185897660930695327496671464263742905073806764228958377493836\
    943438037753153139332401572650573118655044711676921601943625738140380701\
    726918321055476695471429722421622628080812841365390007974901859869950613\
    639705726968509665597055101533572648006867314606949826163163703699684281\

                               /
    794827352122694577691711  /  3504487197139025041154411282366955833068982\
                             /
    192965952040856867932062425841075527959457384009632902355579168188992137\
    570621794914586267966003510736224209920858385138843463217875535367680911\
    846257881120467190244374977858648856179735454762294924733078439217765467\

    1185397303924928663246848349375248271787192559977961, and in floating point,

    0.00008638268641, and this happens with the pairs of cells,

    {[[1, 356], [2, 325]], [[1, 609], [2, 578]]}

The minimal sorting probability of Standard Young tableaux of shape, [934, 934],

     is , 1277228237937930749339606853071268288756278184562723942014446910462\
    771373232165313826563331600429351556116035880633290919657268003481318141\
    814685406565125041146166916301853013337938494243981461146068341776539450\
    680093406656940476166402268211804003634301426579538074882329913620487274\
    163498883387240835301141265136104767659735536429031303429228497617727975\

                     /
    36692173457857  /  16857076302569758485666800901991418223055657768066648\
                   /
    080856252817941414548582147805460226027352143709984584950517217602479604\
    393613962132212840985500226407541939577470419337338387126269779914837561\
    759640060589835657283055783451411462358218024979069498161509330098768142\
    121476548904790385282480828682997574112803524524736982322509721687650360\

    20582915110349338048109126634307, and in floating point, 0.00007576807597,

    and this happens with the pairs of cells,

    {[[1, 425], [2, 393]], [[1, 542], [2, 510]]}

The minimal sorting probability of Standard Young tableaux of shape, [935, 935],

     is , 4357933712774746407859729669856909082229190671815757248166618143300\
    264180963321118071363667854148993672970238642259877210670598150018292009\
    581347974897666626880377063233357718532477713839519916716146714510085522\
    462812244787618604290606585547666097395396033308423881016330625246531245\

                            /
    492936289464459167381  /  8605076267836908615719342337763807707997935526\
                          /
    917230984848744373847328732918813407554185179008391494460713317295622794\
    536372560887300419134663538603188322575995731437569874847452541997687200\
    043942707802456673678070281636009667047907281924139201122940228803218121\

    4963367191290664847078615504393597144810066131, and in floating point,

    0.00005064375465, and this happens with the pairs of cells,

    {[[1, 355], [2, 324]], [[1, 612], [2, 581]]}

The minimal sorting probability of Standard Young tableaux of shape, [936, 936],

     is , 8505114651295524920525339904009448707359901498966277940070865446315\
    445484024615053085469648137092558057124439643732493534334182319962934200\
    919744042932635780087957384595218648486886677812935523979274562290349579\
    880518238904376719346656870494234179801292033316600229716096282257872356\
    687381848126342997375306539670242654946075962418704590154155569304842220\

              /
    3817696  /  211262609858714152169789375131541883655861528560182782282110\
            /
    809469559758574784502843947045124250193068682373884617265142249194507177\
    755689651440699173708270964223041383284950186758343463788601122442284759\
    933671328530988510692972723175250015524395604864873081548207313054873359\
    857361987575700712022677855248690960657207540265987209766858377572945255\

    3329326354723860421, and in floating point, 0.00004025849466,

    and this happens with the pairs of cells,

    {[[1, 422], [2, 390]], [[1, 547], [2, 515]]}

The minimal sorting probability of Standard Young tableaux of shape, [937, 937],

     is , 4368311415152165566759254535969737168803522320067762532443264899784\
    204399884504948975271195695815077351168675691564738721184041705314681902\
    613279064857067632833932117773519321112973486227877989572255862974637914\
    873378365206715119318967585739885052305485581078377250616121392513369367\

                                  /
    135158902571534915612987229  /  3869870136629796668033000859959264317681\
                                /
    919370085688822447446590360530431898586119630682678733184040982339166667\
    761092945783240489938681209691994885482660472516098208157277107625356711\
    272751691416261171105463550488461556199878382579201954039889161482736852\

    99500709673134771643201018604421530488710393732798737724021,

    and in floating point, 0.00001128800518,

    and this happens with the pairs of cells,

    {[[1, 354], [2, 323]], [[1, 615], [2, 584]]}

The minimal sorting probability of Standard Young tableaux of shape, [938, 938],

     is , 1385861591188713671083705441447340471528076435207914652484014830377\
    750379304077841979964487950008163310749737284967340537508468662703361713\

                        /
    88839198468745063  /  21318025977549092336345162097691653266322360207783\
                      /
    543525075271892414091791266532234722976348999182579859432435866578495886\

    57870322081907949006215954106951559163, and in floating point,

    0.00006500890808, and this happens with the pairs of cells,

    {[[1, 115], [2, 95]], [[1, 844], [2, 824]]}

The minimal sorting probability of Standard Young tableaux of shape, [939, 939],

     is , 2488505430662600302684742948558471727652594780244303939619093864571\
    981957245792306222970004439865380670885884170420768678193178738973636795\
    632902820776453740927185677243890098243711730469940376537552309209739005

       /
      /  1140384314479697220588275041315756698687939065808909594619472156548\
     /
    781789741088511426553163879313548974463507124766169067738626347137003793\
    927334424068153434291004601949437458306157827194406325537431223785035975\

    05494, and in floating point, 0.00002182163854,

    and this happens with the pairs of cells,

    {[[1, 171], [2, 147]], [[1, 793], [2, 769]]}

The minimal sorting probability of Standard Young tableaux of shape, [940, 940],

     is , 1908416357089533410748203901271131339446182283655447633648219694444\
    683196789493772764170826545731271857020057122933073731731125423216546117\
    921197114891888381181047289463361727045356971305858923261321569805438394\
    331851533683680989437273431034495668812067122626126530332645439086294431\

                 /
    0378627113  /  320871375252848525826894573294803079591260422191819294795\
               /
    554956069965708024871999716860663682047671628012110917104156724984963164\
    725786556374665731922824264278042475011267398048015517358806919416474081\
    144212349056916759810486501129333366294951123192569077662073285051313763\

    744632071344404124063145, and in floating point, 0.00005947605503,

    and this happens with the pairs of cells,

    {[[1, 279], [2, 250]], [[1, 691], [2, 662]]}

The minimal sorting probability of Standard Young tableaux of shape, [941, 941],

     is , 1298992452684942001659051175893308730571340233953441939562308561760\
    620880446725180967981664318135150420472220855428358031268284176990663005\
    487552426979014585110237971689520300724029122878208523662760830295845156\

                             /
    3292191747197917803793  /  156647011461363840282191158253701450768782734\
                           /
    771903801301189463123203597702917957064040419886712042755361995448190731\
    174248034197036464845100797767595495409435011918677190871335114326420372\

    729499590671593336167949677895425870673342333175, and in floating point,

    0.00008292481552, and this happens with the pairs of cells,

    {[[1, 207], [2, 181]], [[1, 761], [2, 735]]}

The minimal sorting probability of Standard Young tableaux of shape, [942, 942],

     is , 1165840870196951647535834544598409851555366759928100004718401806080\
    505462970069662794370919050759713327483808779029912274014955119804089797\
    316418940325610152230591175129467875187818763841588044943329423602768892\

                            /
    194423371669196452067  /  7220202933088914481944682644960187109583172143\
                          /
    795165190235185675017400294924074173292444203195144255257166122862498631\
    277965504071821024924485668646686161156323194648447675432279818652642430\

    417816804502298059845375935059709469913574475, and in floating point,

    0.0001614692663, and this happens with the pairs of cells,

    {[[1, 207], [2, 181]], [[1, 762], [2, 736]]}

The minimal sorting probability of Standard Young tableaux of shape, [943, 943],

     is , 1453951687823568563868486061328177422632052214825792680704035511901\
    521146947573546320943183106642252406039721167761477264064355366497417004\
    879091945295622857817985445055823523474251474725092278219177746766855851\

            /
    66057  /  12943382719666247567002535338699209424853652376220447948295111\
          /
    529699135482075212905653243133398445971145873579516925698872096112024928\
    290094083502022082301576228963480528222091739020823002717907147357617571\

    887378467895275, and in floating point, 0.00001123316616,

    and this happens with the pairs of cells,

    {[[1, 188], [2, 163]], [[1, 781], [2, 756]]}

The minimal sorting probability of Standard Young tableaux of shape, [944, 944],

     is , 2339554222858606982794033900859864790455528653247903932437381926250\
    510383941765331299585806711225990860734631361288755939016627482226166539\
    095469082287522510202301237040093729053086368423293101018516548958280720\
    896821002122939973888190753157547414820240013284609942733540110679758655\

                                                                         /
    240132717004433258440255697819167958493519332520098152795018527741  /  3\
                                                                       /
    944323524948566808899359530061042642738242361991300174421232816017248300\
    667615848028990719469202083238251580655778224319275114275117568877416292\
    829040460264998257124308353380931471908199550186267956859399490917356456\
    523613640744922868428173975563812381660475529460505751649065320429311458\

    6442895260871580654781778597584582640358406938949479461697332177,

    and in floating point, 0.00005931446059,

    and this happens with the pairs of cells,

    {[[1, 412], [2, 380]], [[1, 565], [2, 533]]}

The minimal sorting probability of Standard Young tableaux of shape, [945, 945],

     is , 2192307840114166092665183687133244807571539196403486282536195875911\
    378277878170446274848506690977821664245699727627657702751348720384359778\
    455203850051032988627869494749014604965268116090975872115509163916641984\
    164084908127136141227306868994043496879489522504066131793752965378117007\

                                                                             /
    7802610078922488429041165938499671698890579873397595850298364728215413  /
                                                                           /
    142743230549570468767952503162719377278048739746830547011678186644875281\
    533969153337689574798590343736925747752923643534636750047620480171612992\
    536158522578737683887993655939023680706009795393930187626260406112231155\
    044548527146480918331002806318025428915406331641923556703995663073939524\

    4342239546425303242206383718170999705254212432985468418228396069349929,

    and in floating point, 0.00001535840146,

    and this happens with the pairs of cells,

    {[[1, 411], [2, 379]], [[1, 567], [2, 535]]}

The minimal sorting probability of Standard Young tableaux of shape, [946, 946],

     is , 1186916843195456555892659984410853738759180607955617978040211658708\
    644474671472740237924833298998782265888065558665471805267794222614440562\
    809098656678755462392627744908880026437776238144928692944970511240381932\
    766069627658715507234614945197265305941018393345119381950587325321349858\

                             /
    9396010496995748125713  /  291178614413873947514779113445811419944470906\
                           /
    124613241952326237530085644128181517175480779748681275642840762621166893\
    591700898670248117123121123850116380097126532094838339537645546849913763\
    760277145855007115659746190230050959387381100823734051669030742030206152\

    5948204988117084059113217183880905245752185623995, and in floating point,

                   -5
    0.4076250056 10  , and this happens with the pairs of cells,

    {[[1, 350], [2, 319]], [[1, 628], [2, 597]]}

The minimal sorting probability of Standard Young tableaux of shape, [947, 947],

     is , 1837524073347688374045845895453537519826357133108772979697672863571\
    311069824580039380811642741451001025422491052678990404629632094676104992\
    193391320745309205461458428399325528112863882301465498084236926200591809\
    194641759288063597053055981450630391354509706412942348791848428978103724\

                                                                          /
    3419090802263363189914368240958190922315245050848489879567657252547  /
                                                                        /
    790145802183615693478092461098499142664585320115867421214784080627005279\
    008250381415123868242149826080794557743239954597848981276804334565153868\
    957219255890839419127617340166719128689915601342697470726133418702087843\
    160313905074600238000806405086126631296319747765582214835808951301467321\

    976364803943830687126823320232258392111633518519242341896335501201,

    and in floating point, 0.00002325550637,

    and this happens with the pairs of cells,

    {[[1, 409], [2, 377]], [[1, 571], [2, 539]]}

The minimal sorting probability of Standard Young tableaux of shape, [948, 948],

     is , 3630416889200875439279946598084795177802164906693604334850050431461\
    286901587622066692946223358416195793210672371593517711692043718953439228\
    846673861816857795891249034016067428224374462241762150459988703093474800\
    612969952390984144636102499296586754009561654195877386499822972338374661\

                                                                       /
    5537740022190910485179149187162024380754444309913506209969495863  /  201\
                                                                     /
    465018404797474114760953875191010368328740468094701992550759976288954362\
    124013619358456971481342702905292642335531513984951880878208711156009423\
    054374270994242510866226457603041481365528134293082796056455558920918704\
    822515317338153493321367946488177281060619012132130248803914151317522176\

    5336063089828371052583682387196308290753489340240545375664205,

    and in floating point, 0.00001802008566,

    and this happens with the pairs of cells,

    {[[1, 408], [2, 376]], [[1, 573], [2, 541]]}

The minimal sorting probability of Standard Young tableaux of shape, [949, 949],

     is , 7743841162176010334683094881564713223879331643985544016650100803273\
    839636472306316649622772038331261710636073622193849462871268340919922367\
    847736628719411750281546398898185170990420543919432331093296643741778265\
    837599974486597664060969061576364086148986380111509703940473574136474936\

                                                                    /
    9342933331667174219359324352516527515066184069909244903512639  /  220740\
                                                                  /
    543456782746640310468421311315833724908694357379894226350348005975929158\
    895564688244938862799033939607902798685004204495750729755349907846406292\
    285206385813407522009755435336408092186369453881690079473356209306485140\
    677250117236362855941891869392267405200719678084201334811069425211291122\

    10192516847661574789877774634804213817941366195827404251,

                                          -5
    and in floating point, 0.3508119098 10  ,

    and this happens with the pairs of cells,

    {[[1, 407], [2, 375]], [[1, 575], [2, 543]]}

The minimal sorting probability of Standard Young tableaux of shape, [950, 950],

     is , 3489852545520122365212521227793806821007365076247448696914948647750\
    637893333492277249296913504964655475432561810001207116961610549900464606\
    705948120061084539664826324181272600897881776533306454309970708604435260\
    388161052488601122825042193935393226300921430043946643309051255602058778\

                                                                  /
    78997127846126967657241723977894616196629101039867613435249  /  84542529\
                                                                /
    091069608058334151061398435784651439561224580579941152948297960907376061\
    112481135556822213341225433896131246650403866622263406874725333744271269\
    707539568520690160764241798700916195468959740210677699485334855030693480\
    371550071376045937147403060998623209773909645423720724270174343658032210\

    61860148472453002634153441135279133642805896525241, and in floating point,

    0.00004127925416, and this happens with the pairs of cells,

    {[[1, 406], [2, 374]], [[1, 577], [2, 545]]}

The minimal sorting probability of Standard Young tableaux of shape, [951, 951],

     is , 3532025862829867583195614808001151688657326044198196982662954745442\
    957146436845191438994058095709070281525700613449645911769336774221463495\
    722305028501163664699234076790348497746029985456764460489302985380870578\
    603865976449881934456304688424673691795917860952202309841911400448113095\

                         /
    769546826762356571  /  4329546415937226213866569961771972880092667879302\
                       /
    371215998743503645000603560583616772664942482689789200739983811429885033\
    156608818626591695840332851559322122694681028727764819722307322283498709\
    531958441049835613950024483995393492420492410669475473508937863973711449\

    4206037862110011525750337033580029848983, and in floating point,

    0.00008157958187, and this happens with the pairs of cells,

    {[[1, 348], [2, 317]], [[1, 635], [2, 604]]}

The minimal sorting probability of Standard Young tableaux of shape, [952, 952],

     is , 1733842605965190067418667074502586491856141436478348916850566157100\
    373838822151214231559464059437941537809315933109334650405605366378179442\
    573874389864169298019286845766732119974996996082918786629775099015999535\

                                                       /
    727863826354128120143711609505198461799825521299  /  5576923000442031424\
                                                     /
    279295915299296507612045793836826634073713608204354295679019821897320645\
    617508635577950717536568048796960290240504835699954981804601024647255857\
    378491201334037399634869496502892495940593779908323870875701739268148736\

    3329018429141403101983551805, and in floating point, 0.00003108959198,

    and this happens with the pairs of cells,

    {[[1, 227], [2, 200]], [[1, 753], [2, 726]]}

The minimal sorting probability of Standard Young tableaux of shape, [953, 953],

     is , 1101823774891739227499102223612733751736228231653943047230069875246\

                         /
    565979010123910778  /  8537608539974460595140285429764554314104609778401\
                       /

    937913277794781383863114182837719734175, and in floating point,

    0.0001290553168, and this happens with the pairs of cells,

    {[[1, 50], [2, 37]], [[1, 917], [2, 904]]}

The minimal sorting probability of Standard Young tableaux of shape, [954, 954],

     is , 9107497793851454754217833768216040258492941454820599320358468638451\

                         /
    862001407680875697  /  1072897494941106843817629279377990449884513400158\
                       /

    97829328637592409219288031279548807466700, and in floating point,

    0.00008488693316, and this happens with the pairs of cells,

    {[[1, 50], [2, 37]], [[1, 918], [2, 905]]}

The minimal sorting probability of Standard Young tableaux of shape, [955, 955],

     is , 6005088420451912039505919571614427226707428482551561815810141659407\

                     /
    78101505715921  /  14713350177469923804410714198820494375816146464056202\
                   /

    595808775700660900717399828415725, and in floating point, 0.00004081387548,

    and this happens with the pairs of cells,

    {[[1, 50], [2, 37]], [[1, 919], [2, 906]]}

The minimal sorting probability of Standard Young tableaux of shape, [956, 956],

     is , 6713326400014317210859103463566231857761603043380142872431692858019\

                  /
    33424260098  /  21216743202621206739902597277296010698669051327479163617\
                /

                                                                        -5
    7806796937429916301063356465, and in floating point, 0.3164164422 10  ,

    and this happens with the pairs of cells,

    {[[1, 50], [2, 37]], [[1, 920], [2, 907]]}

The minimal sorting probability of Standard Young tableaux of shape, [957, 957],

     is , 3150846521637635748950336386205198230153620293377043840058314223804\
    445182610551210673586105956472552295115815333415491286748328930931495662\

                                        /
    742806194887498967540695690707491  /  2125075596759104786969709046202217\
                                      /
    991017743144908871427209501200209789153209028234602560478207416230006817\

    797926171233651634614844487218756872418324625006402674757242525504108745,

                                          -5
    and in floating point, 0.1482698557 10  ,

    and this happens with the pairs of cells,

    {[[1, 127], [2, 106]], [[1, 852], [2, 831]]}

The minimal sorting probability of Standard Young tableaux of shape, [958, 958],

     is , 9110050016765160401486295405501562599526211549791607237468648747280\

                        /
    73520105617495223  /  10029072382550518150312964561633525046896865714558\
                      /

    778142136729430536723461003019287188370, and in floating point,

    0.00009083641706, and this happens with the pairs of cells,

    {[[1, 50], [2, 37]], [[1, 922], [2, 909]]}

The minimal sorting probability of Standard Young tableaux of shape, [959, 959],

     is , 1803127138146371973401233183788528491321720072079752567684527904934\

                   /
    433227267569  /  1340303667561987737512234628956826342262565101112360463\
                 /

    5059861872968163121004246185, and in floating point, 0.0001345312396,

    and this happens with the pairs of cells,

    {[[1, 50], [2, 37]], [[1, 923], [2, 910]]}

The minimal sorting probability of Standard Young tableaux of shape, [960, 960],

     is , 4927270295392899622557287374792244614926435268667750656648284777827\

                       /
    6490694822252019  /  276607403232551155975316608608679964428340643683898\
                     /

    577923487076047025961103578631350635, and in floating point,

    0.0001781322639, and this happens with the pairs of cells,

    {[[1, 50], [2, 37]], [[1, 924], [2, 911]]}

The minimal sorting probability of Standard Young tableaux of shape, [961, 961],

     is , 6432707830390110360539066610290325244998029060917217178260742846010\
    588655769804759187219227173039857016843719556868081858674289035561691684\
    244783305837613572014253253902138288405534311234667125791075795211720234\
    306746713780140865081285667104263170866733127794113353468520764082901651\

                       /
    1340874213153001  /  588106642508951225977910754308017836802513989085489\
                     /
    460811945650193597743221084831197543664548557477056069424442692234688476\
    493898974795936142203083738366557934578229033728282678355815562202304041\
    055666341421554382687142762750172215926481268307429344796394081204886819\

    192306934613383485739670571390163157, and in floating point,

    0.0001093799554, and this happens with the pairs of cells,

    {[[1, 344], [2, 313]], [[1, 649], [2, 618]]}

The minimal sorting probability of Standard Young tableaux of shape, [962, 962],

     is , 3891798986412355173004650928460701795765910039653931660849698793198\
    365615279654224636614218744623984206121501774987396024810926745767969002\
    511021513410769590676671436546385845416215384505192955853396797271028746\

                /
    608261307  /  9623236180718403946118793173349370090166309946453145026893\
              /
    645343366211187547756957663141918831793709861523645999344642274392558027\
    383560370426091388571062845725079810382552451559032466831841759746050816\

    5025768511368931214575, and in floating point, 0.00004044168628,

    and this happens with the pairs of cells,

    {[[1, 187], [2, 162]], [[1, 801], [2, 776]]}

The minimal sorting probability of Standard Young tableaux of shape, [963, 963],

     is , 1142567345459399030838449458657251329996697684028453525260312683963\
    674622321380064070097710850565152294615174621037462874541522069001044755\
    363830847615263829842500952540830907733994290231310987953280563173222450\
    659116230471964770619624188099599215900951582689706759590113412877461675

       /
      /  1161474605877107042587717946771613580627302751895451697195022101272\
     /
    379613120412128138447701845530997305223798186512501708998989821967290617\
    878434500201020004332833224698314911845352017451655048078543422161730459\
    209197613834166523302279247867244717038839168175926805462120578685481357\

                                                  -6
    757947, and in floating point, 0.9837213312 10  ,

    and this happens with the pairs of cells,

    {[[1, 249], [2, 221]], [[1, 743], [2, 715]]}

The minimal sorting probability of Standard Young tableaux of shape, [964, 964],

     is , 1108943296657242399570375509244453077007633936367685552492420283309\
    119495371895855615572036754105310249814029627491010896815081450566904899\
    905226947065690213848184982094611925033612093904301612163730961007567196\
    077101911387924014218142386914219178909270091289336432380318457012834154\

                    /
    2961990310899  /  195384266614269510291664702427912902592197338566607794\
                  /
    289682940263653735289396953886227131079254975766136021409532303883214782\
    026237473732937608997919723108948364860144095774976197945369502426591712\
    845960605167568999050751744243261105143278507451609566908332626208245578\

                                                                           -5
    8395131605925201792925486346057, and in floating point, 0.5675704169 10  ,

    and this happens with the pairs of cells,

    {[[1, 343], [2, 312]], [[1, 653], [2, 622]]}

The minimal sorting probability of Standard Young tableaux of shape, [965, 965],

     is , 3990728830400790575958630947199868584126315143791466958001342800005\
    714121299429992448743045938518503179552999926190191047804458103382610043\
    091404245404037909071983500793836617280542687488279095280464265977014978\
    984413334094270323600284271780351459719432614499782158265107669877633664\

                                                                  /
    54094789904898860108175834209026795723552284027951753424557  /  10258639\
                                                                /
    755654580886028698861414208731114354767281735345137750747355381776552071\
    703497631009624522534673669204603109637548503172254396359644688220939850\
    667799441422257136791631259893095350374542516435244698771897785949324337\
    949318701936995273068779989726892994161112398912665269585593553645267434\

    044855249571074000583570155379948959268614233320587, and in floating point,

    0.00003890114991, and this happens with the pairs of cells,

    {[[1, 394], [2, 362]], [[1, 604], [2, 572]]}

The minimal sorting probability of Standard Young tableaux of shape, [966, 966],

     is , 2479107279054489217149605103336151298200951901151256285509346459156\
    854692953014909518629148525172844248940251214714663902828468194278194337\
    789096271268961048174686038937269751128373673147301674652087954395257970\
    329932709821850422213964636761363644307152812344192577244846465919876102\

                   /
    172378789617  /  2760679387986573074444520814213647715114584598278883702\
                 /
    288989225909542946724686980750539894838831443709879399485004450866370399\
    789640054993093131343579990721178057981767308189369740584636196035199077\
    069895143535279355246864797469091758483294887359350516399516632505179683\

    7297334337584266381910550075, and in floating point, 0.00008980062262,

    and this happens with the pairs of cells,

    {[[1, 305], [2, 275]], [[1, 692], [2, 662]]}

The minimal sorting probability of Standard Young tableaux of shape, [967, 967],

     is , 1503896967314225490112987991881948306580949878489717121389934216657\
    517618585490805062689887999743914792845524697714106828835637035939156437\
    679646017521962336598035924447420490586149235246116643255698195741421024\
    890748056177146453174049946178541841739637829614707804882802215540915403\

                     /
    39453117186189  /  17493680412795000615267675233114295364536441726678708\
                   /
    325421126532743246135586395699746138740103577266329432657171314173706779\
    738344359890705156814494306237684411806488308746162999436056274595253174\
    020507889669774468013295137026739813929177744377778546353390749275716705\

    12406249886540626874505048740639, and in floating point, 0.00008596801427,

    and this happens with the pairs of cells,

    {[[1, 342], [2, 311]], [[1, 657], [2, 626]]}

The minimal sorting probability of Standard Young tableaux of shape, [968, 968],

     is , 4205635051898746471089571386000379411859990372308259415226658008026\
    749199683401003396301887153212570804273880842852136113729514235184182640\

                                                     /
    1942415692849333399902691293300442255059077309  /  591687641413365426558\
                                                   /
    632632448719906843150686126338883356492881768852663643199275080149575190\
    355710185032181643342691232635405653741736357043988895864712682042626588\

    222869171078116311213445, and in floating point, 0.00007107863605,

    and this happens with the pairs of cells,

    {[[1, 140], [2, 118]], [[1, 851], [2, 829]]}

The minimal sorting probability of Standard Young tableaux of shape, [969, 969],

     is , 1270670002537519155142972350756217690105917733905047903224932389023\
    687202085336037014035825350411263355810043559369370359090246899730164011\

                                                 /
    321133359262845526384277103414259795835167  /  1829075524477929538961428\
                                               /
    892542953126350584828360502282470842628114787670849792188568887987852346\
    935562249780961830941397370569890079249303051064625999915552389955139951\

    3715140440703305, and in floating point, 0.00006947061428,

    and this happens with the pairs of cells,

    {[[1, 140], [2, 118]], [[1, 852], [2, 830]]}

The minimal sorting probability of Standard Young tableaux of shape, [970, 970],

     is , 9127740912125296564219543026087332086570460023315309763652451355677\
    418067663896398871952980259919690617851743345931235901807105669292928484\
    120866521206731273752547170743007995065051617834023373924211638737836378\
    194940126567057850451989910217549872151528472228455202183518623998602559\

                     /
    39648301042753  /  85891189473299535991340577387738749210785483804564815\
                   /
    194892679606081870284129399090726690156000808393748000581022826155338591\
    154207729999132364582727874014490127944431930313795809005571809544925608\
    935795102468132460451919502244501745423932318292569499628912230323622539\

    87978677190406238367390221492585, and in floating point, 0.0001062709804,

    and this happens with the pairs of cells,

    {[[1, 274], [2, 245]], [[1, 726], [2, 697]]}

The minimal sorting probability of Standard Young tableaux of shape, [971, 971],

     is , 1512700839139799940349343858380777968639695217367562343949753551859\
    597884799246525663473551708542706618433946090810355904936624897251910099\
    081464638656825423982340146109321899098293625530274146759364135875061113\

                      /
    419828988057957  /  2969676333497967556363902501051044009939565387527567\
                    /
    875754254358918250628836555217014655920675864398561979431035662762154217\
    816077980414823124589152625278344652876141427739100895318880320266623057\

    7240221103145645606218552052001655, and in floating point, 0.00005093823937,

    and this happens with the pairs of cells,

    {[[1, 205], [2, 179]], [[1, 793], [2, 767]]}

The minimal sorting probability of Standard Young tableaux of shape, [972, 972],

     is , 3344606392439418210505100938809400523841451208485522186628211443961\
    961264106623878514479708416189105985317188360367979506168990757917242867\
    230760891573861928160330449382109132223366518814173233679323906803949235\

                                                                           /
    69655717911489233193198220971335549468813857287403708319801935577409  /
                                                                         /
    624867735035910026002925914650658874905013825405009365492749523153356916\
    162174081845969295061178364590697620792187163914090643969944213748947759\
    999507354460468278822696954946844424310382643938719118467302769786321901\

    4669825517706487032908105577194419195183975262026299948511168557905,

    and in floating point, 0.00005352502946,

    and this happens with the pairs of cells,

    {[[1, 248], [2, 220]], [[1, 753], [2, 725]]}

The minimal sorting probability of Standard Young tableaux of shape, [973, 973],

     is , 1158078493876118217793825531431385851424307009938191594625053274979\
    308877003767715612807426541294208830974629187903012082747784570253908006\
    547608699968895241474656553187424446380301005395572901788949784302096734\
    400372920378788001987256938529570354045573347088617467613332048560227574\

                      /
    380710783189971  /  8065103615425280567200752844084052697192111388173080\
                    /
    072186650869430815346107646485674972354978792115818076479130837701946096\
    339538208258681430592967038234739600388854378514895509606025300107972720\
    394567264059888193905111987496644595999426629336429853879274727830781211\

    702665901875393352426587383140225, and in floating point, 0.0001435912729,

    and this happens with the pairs of cells,

    {[[1, 340], [2, 309]], [[1, 665], [2, 634]]}

The minimal sorting probability of Standard Young tableaux of shape, [974, 974],

     is , 2566132074891041625940192173674059408180198194766816712960582846918\
    555511055085861346659015435116029111124206083039645258591998615684830878\
    685393053968219763910506130089269543333105787350093283917912584120014410\
    932198023703291993016023784870685993799753970916810194708816060833294533\

                                                               /
    98303203184966532714143539778159836166072014167360138072  /  59886649832\
                                                             /
    284209005037014884080346612583348652048007339898481615923326963374422071\
    345970273314570025337363548018777417598995085426718231271164762889174135\
    464554311421586368538905307969084601305468480205352862301622644283058622\
    730603372546920617161001167897705196670527045937253937801156101006353351\

    58526425910199209885143690517353058210893523, and in floating point,

    0.00004284981848, and this happens with the pairs of cells,

    {[[1, 388], [2, 356]], [[1, 619], [2, 587]]}

The minimal sorting probability of Standard Young tableaux of shape, [975, 975],

     is , 2003347119548625059769760112737840194569339969375996187095207895299\
    580060356188340436276823151400335313925634384702907794387963776664044152\
    486859700860155668136843236664292132043952366970691788428411790338521558\

                                        /
    854133965365652647776408365484878  /  3332754032978218084139094994839332\
                                      /
    332720871252935502847782328023645284341873113385344906242997883579232030\
    011407518777742092318354690547428265018744675771023745370134294357082388\

    4444313701737742607576413469879160464008368493252068633291894414714835,

    and in floating point, 0.00006011086026,

    and this happens with the pairs of cells,

    {[[1, 225], [2, 198]], [[1, 778], [2, 751]]}

The minimal sorting probability of Standard Young tableaux of shape, [976, 976],

     is , 3728817290183327077979911355180872774147543412191977888016676121661\
    152813713100346083221593282456950154642481321397647623052085648913079222\
    803430644722189137530907388222300380447762076595819620026204445076668263\
    009871472717049995582618155603432562038008430087044282152475754479566307\
    777635176544506079273375027515037666362353727049812898347981565141941070\
    610019369656647428863344083841398879397138445157700604443654309835026500\

                                        /
    523218827093641709170421192690377  /  6207238267775237132972432432553348\
                                      /
    763903569750862537275005893305871028818129775227608269065109401310897535\
    760039480588345105701779320396788766664760080728530655150653456677787158\
    415673242039650190590705225811624330060003551920698616885140598465287898\
    969040422645390782725688181920370000699493399810178361849845784895203853\
    458542024931220507111655504608784733314335856148182427899948669465548460\

    62629364710937778571383040732948025134021680615645858781950529175934167,

                                          -5
    and in floating point, 0.6007208245 10  ,

    and this happens with the pairs of cells,

    {[[1, 500], [2, 467]], [[1, 510], [2, 477]]}

The minimal sorting probability of Standard Young tableaux of shape, [977, 977],

     is , 1926715126989853388319176643005878571349930881539593446862827243302\
    406219576629877652938554107877835336271463730209255456916191897858941850\
    845501033835806587395929993604353872892416577521537698690681413124590479\
    880167960244503694659326462272736539284650041606270006586311609026290742\

                 /
    9447324251  /  188425053469093132110957779317031984117051852153570221749\
               /
    443312307626072247785181850022119926977697377325543336105702845414487290\
    516342940436580292922799331823483414207786438002320639669204555072853424\
    081309714448553892631457319897458704247518091799809145581636411200050305\

    1411112058238186712209005, and in floating point, 0.00001022536596,

    and this happens with the pairs of cells,

    {[[1, 273], [2, 244]], [[1, 734], [2, 705]]}

The minimal sorting probability of Standard Young tableaux of shape, [978, 978],

     is , 6779490914748336754887326540203573885407702317135681218812112028784\
    096335319187046815925686972414789382860081266081103467761761621950976870\

                                                            /
    99960062939282299074173836735573001061055992119423703  /  39589066219689\
                                                          /
    596160157899422804705794649651679630131792407899563831726577799809387210\
    572115964324379871555459250362212714428121596610819900767648009577160134\

    394613971504370909144746600743225903915, and in floating point,

    0.00001712465476, and this happens with the pairs of cells,

    {[[1, 154], [2, 131]], [[1, 848], [2, 825]]}

The minimal sorting probability of Standard Young tableaux of shape, [979, 979],

     is , 4327093367727357323515348579405248936621826235801717668646237750553\
    944078926326217756832256280328789284997323696687262759472286286881516895\
    705335928846199254896855285354612090652432970521648078056378375419004372\
    803556100291542282131956420940418514152696852456594285153373182973967271\
    318766314084088902848033930787264406670156209836671329682417868873746375\

                                                                       /
    7724212489963763133539016231720048887534392739059332658502159881  /  734\
                                                                     /
    805328159339007946328784069627762392522688571050734474283670784372754939\
    921303307821266538222948517631226835430608872126148068482859556654589391\
    479283090305304292521871760684047527316990699852674562395746648749842350\
    499413146719703014757996401457007037490701703265307668867369682988744361\
    526437364041336646176662527830736675929153873997924519318680792631073478\

    4282347166880218525578949095288954884466716269950932901985131,

                                          -5
    and in floating point, 0.5888761556 10  ,

    and this happens with the pairs of cells,

    {[[1, 479], [2, 446]], [[1, 534], [2, 501]]}

The minimal sorting probability of Standard Young tableaux of shape, [980, 980],

     is , 7337526942905229447566809993941234972988638444719638118505967180617\
    196441289966384958495176913160414441803760186082287970975407100971526717\
    535817225905395151136496529551439076340446288694711844153093220906081489\
    372037463711053864872997377489167885599430525189460891719684186270079910\
    422147611198501419691135529759510054075706884506008140025841411952232897\

                                                                      /
    925464543402734677079195378529796196933590324868722321203691191  /  9695\
                                                                    /
    281558287245996346204163888518570286854267244574959557564555592029565252\
    572274480576715369540558280023593002980050105549523515941572369258519290\
    236815105919104546675460958009430724640808911248548380638018733660996528\
    267061098278457842149786237961524957058765778536412979677526279085290189\
    195614661472426728932951061042440962117157038629270936083422406675717720\

    3837444763306547600855014232510084750655749393693747353899,

    and in floating point, 0.00007568142192,

    and this happens with the pairs of cells,

    {[[1, 475], [2, 442]], [[1, 539], [2, 506]]}

The minimal sorting probability of Standard Young tableaux of shape, [981, 981],

     is , 1494938527895306497030128208667934117315830600221978157878545968664\
    903400175193352636902853098716437195576463121786093864010373257235711867\
    227679408243113292146155053814862879758594145995119440729092653814268474\

                                                                    /
    3782160243906597302197377732359863400590343294157992284391213  /  507585\
                                                                  /
    367187767788505926254111911160481661507738120268344769677112525173528076\
    071164689994656017712293983848263752909349526339169765459789026876407811\
    550436599372605270428554214044344607454634308823308267196323211309858299\

    4192585246374648981886054105098968710541884081643443645,

                                          -5
    and in floating point, 0.2945196266 10  ,

    and this happens with the pairs of cells,

    {[[1, 247], [2, 219]], [[1, 763], [2, 735]]}

The minimal sorting probability of Standard Young tableaux of shape, [982, 982],

     is , 3831239908889573244791411595551295572578687262659400541223758173278\
    104808986213565131509947307612115957119118004533071589496494927076095336\
    592118172142306209384372163116309444740894730447776087281252859085257056\

                        /
    93470443000379073  /  47140891486019686524259214145619778319179347402012\
                      /
    795107582082610273197727597512133236447408104186439982396080422311762375\
    994265688680115585706484706600663344477845356834315933775547022318784889\

    343419307833487137998084334652461366825, and in floating point,

                   -5
    0.8127211404 10  , and this happens with the pairs of cells,

    {[[1, 186], [2, 161]], [[1, 822], [2, 797]]}

The minimal sorting probability of Standard Young tableaux of shape, [983, 983],

     is , 1690359452772206393094700364071256223899872576327702920985870105682\
    300738738547662218596474379145485499473111016737328692543342836584229981\
    382028331654421581820516435174739777868867567999475150621103524187328516\
    957241024249477736325404289409570149613735281903584515471812803662029769\
    444328795923645853246257844921266485720164670280908832601676383452527794\

                                                    /
    651667104848604459717464490295789728622751661  /  2088417712682184758418\
                                                  /
    869107270219752032626472617178729480984394839175764996125883982658048466\
    939815166538525715180390042186726577115758690864509835014469936415011341\
    177677573250617432779880452814862147619735945892193521481534206443040877\
    487987322343310860068543635402127332503756344877162431157349683310176925\
    602694795514893051095499338135467656235421281743279856588922073112854186\

    6121160661452510196051, and in floating point, 0.00008093972018,

    and this happens with the pairs of cells,

    {[[1, 467], [2, 434]], [[1, 550], [2, 517]]}

The minimal sorting probability of Standard Young tableaux of shape, [984, 984],

     is , 6510075754574266803428543817773385860072204221835077441909292387985\
    154480036863778292105986300600464529386094357280164395528239366224137060\
    086413268003216316887580155545358519679061616426000106571398945736153886\
    654374024044317065680274751617255950910481328932067728300083109256738119\

                /
    041269037  /  1330596137156249245218680193536354755755750274530012598570\
              /
    276986488004128021974429180038824437813425153310171897293450077940380208\
    516571400591066952075712686381064788798821126650904894472171907731918177\
    831811235941253990931003316128269552900670587038965803085530365088334191\

    13977682007645980446435, and in floating point, 0.00004892600822,

    and this happens with the pairs of cells,

    {[[1, 272], [2, 243]], [[1, 742], [2, 713]]}

The minimal sorting probability of Standard Young tableaux of shape, [985, 985],

     is , 1388962547066864696351232604643883607472177557704608476294237067666\
    587862926011992042683657749074329958735989244626005899619995664657910230\
    594661019645230901084499438083435004121973107625531013819290103713440164\
    464123948725026596295936471253902019036632010387089152623763675175649807\

                   /
    094342005514  /  2812010499619516682609491987931116955023937864487741584\
                 /
    655076591315927277146778564676061793921674277223664342992183836831546057\
    761136554809769210744212782661642785182339230109318630645721521068620538\
    472427060654991692726465268609489462040642535166515076382142605729653118\

    8264867805196160297110262085, and in floating point, 0.00004939393175,

    and this happens with the pairs of cells,

    {[[1, 301], [2, 271]], [[1, 715], [2, 685]]}

The minimal sorting probability of Standard Young tableaux of shape, [986, 986],

     is , 8011653531434305996848019351670121631872907808519901286652880506226\
    050448443225615232955248378387179652210004842725292930235217439342360720\
    725113416258187129282759727215567935454114937497693588176154081512537932\
    185377860842760004356888166485106974895398632265804141214258354204357723\
    476063272482488294542484688506140383342175412762404449636091622580138409\

                                               /
    8177605863649968038043307168542606403909  /  197597660011589221942526588\
                                             /
    895433067591887970158556847803030487908726162766163524707478756971062632\
    686629116433227608408908712606857891154234970878820917162034295248020046\
    289409030814410289238891560674559437908687596316926613063237669616706970\
    619788139090279108833630547088726890698935823157962099330690979858145752\
    616638083712179813921235815579929927868661320108244034733075977526071514\

    2707418837196, and in floating point, 0.00004054528546,

    and this happens with the pairs of cells,

    {[[1, 460], [2, 427]], [[1, 560], [2, 527]]}

The minimal sorting probability of Standard Young tableaux of shape, [987, 987],

     is , 6008080812523921914679296722081546780586380345626303993463794615341\
    068573003811626979014544638339382593078303620864536946285534937391290358\
    749426940869784721135993931827395411778068430146807405508088308405583945\

                   /
    320877120971  /  1223878490542745308750748531048480136221754665607073870\
                 /
    734701033095982019816615366170170985345582733285461138672743730004348230\
    480851279306878836978432132149204925205393657389330827791482634824927190\

    58436843026245795566440460035, and in floating point, 0.00004909050089,

    and this happens with the pairs of cells,

    {[[1, 204], [2, 178]], [[1, 810], [2, 784]]}

The minimal sorting probability of Standard Young tableaux of shape, [988, 988],

     is , 5698337722659151793320253674252392454565688906359669337815759610963\
    754511107893153213225656062404032321806856511636500020860862300718355411\
    370136955021914673616901687938100024746501840083221816391655769131680146\

                                         /
    8222544228876991466172816517724111  /  657895142319489600114153733338871\
                                       /
    342612245362568942947436444020075772888227907843399855647317200279630373\
    594947895849032681123849898778295674526301068755116371854988720635813440\

    454706870530606644327129796324126845628886377735960674526272885250075245,

    and in floating point, 0.00008661468000,

    and this happens with the pairs of cells,

    {[[1, 224], [2, 197]], [[1, 792], [2, 765]]}

The minimal sorting probability of Standard Young tableaux of shape, [989, 989],

     is , 2599761086663952258319717858160461185472762158386502985602552968272\
    904074391494506016013558195940146627496414335489459222248804059443838148\

                                                                             /
    8942514297391394533098541807987098725708450887385809231140504103652803  /
                                                                           /
    638580736295032883054709348664898855071935813734108037831433680013779557\
    916757472532324005169565000744701041601005025753775833055218958209510712\

    339622329836050542876750358738707656701728773853084737575405127622415,

    and in floating point, 0.00004071154889,

    and this happens with the pairs of cells,

    {[[1, 169], [2, 145]], [[1, 845], [2, 821]]}

The minimal sorting probability of Standard Young tableaux of shape, [990, 990],

     is , 2007894851298427927658305407778135141441064476382518749950528889073\
    032682375729424593531628990175859778658971371246616410532749506981764016\
    563059113469379681705308300512728408397361404292279929107002756252674650\
    248783113970314944803283996093503738338542801039304174498771908834626109\
    512817204801741314789134824864380449980018732039575727945239950824901241\

                                     /
    533808278228940106767295955229  /  6585922189946310621895371610557422176\
                                   /
    067322343717831653031902807779656807528331805059832945156523003829897073\
    845355099744104077301472784601821274842632459397671663528726793158999026\
    003977495586320034110802337650322327903795999637122855196555142902927198\
    537798470476130222501161272413010801814575062749106621952668172131977564\

    2259499662862896147306974318559143697019655017814853626469445277,

    and in floating point, 0.00003048767953,

    and this happens with the pairs of cells,

    {[[1, 453], [2, 420]], [[1, 571], [2, 538]]}

The minimal sorting probability of Standard Young tableaux of shape, [991, 991],

     is , 4512901580067824251132487603753343635686288171809183458823182436363\
    270626101939952741452585644619591376411805712067929702258056137092866019\
    807700783944480794347511939002948796908542915034410254893125474412173696\
    962857792135582363291287826897770985271270735747266465070992538431781111\

                   /
    506068595503  /  3927198938265722153966574609368008888817323484091680058\
                 /
    077992814681640918210934854221039436025770312485809336044753203944969587\
    914747408035317017094541386457122246846110523578260538003759482497586649\
    491102706113255161529440839632425007703654203913006443029988649103064726\

    99208390724016222465946063945, and in floating point, 0.00001149140049,

    and this happens with the pairs of cells,

    {[[1, 271], [2, 242]], [[1, 750], [2, 721]]}

The minimal sorting probability of Standard Young tableaux of shape, [992, 992],

     is , 1112855515165432269260464440713447673523358339491291511625379391671\
    283178642984536542033813216928658959772109359013809967393127479673345556\
    073471304350964125464039218847975895624850583530227150799488969761642050\
    625290326702976135678216156344445537822011733407728518167070058189503752\

                    /
    4924021404609  /  181174538890271631319552332013145844366606088570377533\
                  /
    730452552392816100876568353707778512092535072930442435605862079330029208\
    263598803707401909108852795530730993482006484755323989336082902432785776\
    037855097066977865999738055552422933776044520285219479512505198443317886\

    185776999536756342692711546885, and in floating point, 0.00006142449828,

    and this happens with the pairs of cells,

    {[[1, 334], [2, 303]], [[1, 690], [2, 659]]}

The minimal sorting probability of Standard Young tableaux of shape, [993, 993],

     is , 5800372968075761608644565552559506092042365094129962290615867280072\
    819532002443076718475480822016559449311145868717713598551598306269094194\
    129946538560636283705975600125863030021905206871639890262581841094934936\
    812198159025521468669363651427591929231989189527873855820962689597360793\
    075477369524092333294016303865908393026464000256187212163633455028777561\

                            /
    748267670073221680614  /  3471812050131093608260779585397536014793424177\
                          /
    407850387444051247091687763939697397800875759007286732066167625831778400\
    135382133600371249592243322402573846329401559713362807964103954677961022\
    401428841564047988487244997431773154687914798583725103968419965674241984\
    143634894864282609271203635325158378639011246730304643067924314856148690\

    0930352325577708355192499339190554582296982563, and in floating point,

    0.0001670704774, and this happens with the pairs of cells,

    {[[1, 448], [2, 415]], [[1, 579], [2, 546]]}

The minimal sorting probability of Standard Young tableaux of shape, [994, 994],

     is , 8852866243390829373662213606553553856842242864331190002184201417131\
    099509547585394366738626891724086648004083547043445138677607298346740561\
    477998636914907046151233197678910920019214842337115867829017048744623635\
    956860740757709936867928784900967535771590587208933542590680180942605981\
    462096317973122610219974144646412450351125008504354858852424351175658146\

                                /
    7788756108955197690922111  /  282838112288029802984180930483581066517175\
                              /
    887460885347513904522946818527064875327906643945459046628201234477973637\
    490923829176278021444590531286746170483538917356865168527876411656875749\
    450611977203435698297478090388205774263592960354896220333044995269343583\
    471722229503979908511329497146559034677632584329237377728356814590158385\

    8653358093012907839166572467343665836910155988278459921,

    and in floating point, 0.00003130011784,

    and this happens with the pairs of cells,

    {[[1, 447], [2, 414]], [[1, 581], [2, 548]]}

The minimal sorting probability of Standard Young tableaux of shape, [995, 995],

     is , 8149917463438664879360280019244408629389894388686501457458007752797\
    780304730661238178718305751289736829937107514041751338643780729121952061\
    077908336925830178559085238371121550802157649448636394991769933065289852\
    976546754360891197060391371950404274146171563246374770671071771458304963\

                        /
    39987402523488117  /  52292166455263273341229006271540236324501942999696\
                      /
    534350877476173699435092496551212200774779905277767549838857463667063891\
    914623619788030833706524863266701569190368352630254902351535426302242124\
    860417609560800917961028101183845054535250358133832236944092687435126336\

    22932569601134243228320945256342869585, and in floating point,

    0.0001558535057, and this happens with the pairs of cells,

    {[[1, 299], [2, 269]], [[1, 727], [2, 697]]}

The minimal sorting probability of Standard Young tableaux of shape, [996, 996],

     is , 2440735693582169392575775939829948739927052042989234132249968230687\
    420250570176448270060551599601948526058914527256383512355226426859940976\
    525458036407301073720372754086545407232046622290989117050972026929339553\
    099848949421109413919132638157611253429434712261536860085984800188666919\

                       /
    3738739583509053  /  184510655772632776607603781834738540828368085583244\
                     /
    664155429161890200918667856181627185488090497104448733482934699759165815\
    364758329400138435394806576219204390580228369684321370085287272018758595\
    503195030408734069340722131176639692366407633488499358055913180000721086\

    761251710820042023213037505551570511, and in floating point,

    0.0001322815576, and this happens with the pairs of cells,

    {[[1, 333], [2, 302]], [[1, 695], [2, 664]]}

The minimal sorting probability of Standard Young tableaux of shape, [997, 997],

     is , 2584642408135918572603025980405756440093297755523989150646287933121\
    275350872166464222850685737682796075593506002108672941007913574906240200\
    350694191498106846583197627321606734085990627694262669927287124212999646\
    068780959987667368127902979434963583000777032015498360691753800168067809\
    894411775235014137187589148454641557600793817471610667080690765447511748\

                                 /
    52699096255705491552404743  /  25904303994538723153490283689557790103736\
                               /
    742084943779322640400740191826488285359301632960571672514958371634430604\
    703735029320520564085409840174317302604736242377670267830273815583121835\
    436729686396886171801131976288213699765415210859019992514598090020370696\
    079135756264862766484479378011133537375734636857255695854915246562063203\

    894111139881531122056170767922178813186089854831035985233,

                                          -5
    and in floating point, 0.9977656256 10  ,

    and this happens with the pairs of cells,

    {[[1, 443], [2, 410]], [[1, 588], [2, 555]]}

The minimal sorting probability of Standard Young tableaux of shape, [998, 998],

     is , 6013279657718767712535453280758065784655869539914250765750700956063\

                                       /
    42541976564860337024916505724252  /  11773557390196786936237476629653236\
                                     /

    971172347934805511439932663662271505324662790839824435716033760492217,

    and in floating point, 0.00005107444979,

    and this happens with the pairs of cells,

    {[[1, 65], [2, 50]], [[1, 949], [2, 934]]}

The minimal sorting probability of Standard Young tableaux of shape, [999, 999],

     is , 3686424125217824639641051500952866486155045751788026742391432516060\

                                      /
    3981136853463370360265322137048  /  124863484377179944299873822779700022\
                                    /

    47175347225600959291314673039594368631625912536977906598470217579903,

                                          -5
    and in floating point, 0.2952363650 10  ,

    and this happens with the pairs of cells,

    {[[1, 65], [2, 50]], [[1, 950], [2, 935]]}

The minimal sorting probability of Standard Young tableaux of shape,

    [1000, 1000],  is , 85972690009342882470623777547174579954216629813332628\

                                                     /
    4396087365283420926307599199178614082696917752  /  151182377510589163328\
                                                   /
    557099779903297953382914015604588875457488831914857023744392255716749184\

    38500873547, and in floating point, 0.00005686687260,

    and this happens with the pairs of cells,

    {[[1, 65], [2, 50]], [[1, 951], [2, 936]]}



                     -------------------------------------



                        This took, 117248.787, seconds.



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                        This took, 117248.787, seconds.