OCTYPE html> pmo_host=ludwig_ncpu=24_wss=16384_wcycle=16_smin=0_smax=50000_polluters=True_hpages=False_upages=False_walk=seq.csv « cpmd « ludwig « overheads « ecrts14 - schedcat.git - [ARCHIVE] Bjorn's schedulability study framework. Now on GitHub.
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20000

     0,  16,  16384,  33378,   0,   3,   2, 110577152, 113677648, 113611728, 113900280, 111508000
     1,  16,  16384,   1038,   3,   1,   2, 111743480, 111535384, 110202632, 111223168, 114437888
     2,  16,  16384,  20938,   1,   1,   0, 114159448, 114089016, 113754912, 111367560, 110081032
     3,  16,  16384,  46839,   1,   4,   2, 111379672, 113858416, 113828776, 112915608, 107639936
     4,  16,  16384,   3866,   4,  17,   3, 114009312, 113611464, 113765912, 113768928, 115897192
     5,  16,  16384,  38695,  17,  18,   3, 110198000, 115004408, 114794928, 115794528, 112279688
     6,  16,  16384,   7010,  18,  18,   0, 112326568, 112071320, 110852360, 110919488, 111338256
     7,  16,  16384,   5740,  18,  18,   0, 112544384, 112031344, 111264520, 112201200, 112244688
     8,  16,  16384,  29542,  18,  19,   1, 112440320, 112015184, 106359392, 112276336, 113233592
     9,  16,  16384,  39125,  19,  17,   3, 112796928, 111718232, 110749904, 113370632, 107886736
    10,  16,  16384,  16845,  17,  17,   0, 115985296, 115721936, 114379760, 114539128, 116017264
    11,  16,  16384,  33621,  17,  15,   2, 116064848, 115816024, 114303808, 115601392, 111414416
    12,  16,  16384,   7813,  15,  13,   2, 111417072, 111331240, 110220360, 111475264, 108197944
    13,  16,  16384,  22848,  13,  17,   2, 113966840, 114135512, 114099184, 113471616, 114794144
    14,  16,  16384,  26651,  17,  16,   1, 116076816, 116229896, 115880088, 114745896, 115478560
    15,  16,  16384,  27592,  16,  16,   0, 115547032, 114894200, 114861160, 115575528, 114638256
    16,  16,  16384,  31746,  16,   2,   3, 115888328, 115357024, 115578096, 109680296, 110529544
    17,  16,  16384,  44353,   2,  17,   3, 111115216, 108248304, 110039608, 109670280, 115943912
    18,  16,  16384,  35988,  17,  13,   2, 114762688, 115953648, 114406880, 116116208, 111935648
    19,  16,  16384,  23096,  13,  13,   0, 114247560, 114324160, 114047616, 113056288, 109560600
    20,  16,  16384,  37458,  13,  13,   0, 114320760, 113529488, 112859864, 114064784, 114342656
    21,  16,  16384,  30099,  13,  17,   2, 114224536, 111821904, 114116600, 114234840, 115840336
    22,  16,  16384,  47032,  17,   6,   3, 110557592, 114780920, 116054344, 116158584, 109998016
    23,  16,  16384,  12155,   6,  17,   3, 110338672, 109760720, 109923720, 109757088, 116054096
    24,  16,  16384,  40931,  17,  16,   1, 115916088, 115714984, 113436496, 111183600, 115783232
    25,  16,  16384,  34264,  16,  14,   2, 115618840, 115434840, 114853672, 108423912, 109694088
    26,  16,  16384,   3588,  14,  14,   0, 101604688, 110649680, 110488920, 110759328, 110714496
    27,  16,  16384,  37918,  14,  15,   1, 110662560, 110646912, 110867176, 109733824, 110360832
    28,  16,  16384,  42874,  15,  15,   0, 110438360, 111155280, 111575088, 109101632, 111788680
    29,  16,  16384,  30418,  15,  22,   3, 105549936, 111200456, 111418000, 111192512, 112581728
    30,  16,  16384,  14681,  22,  19,   2, 112489960, 111090000, 112545672, 111123816, 112273416
    31,  16,  16384,  38521,  19,  12,   3, 107411488, 113349248, 111743832, 111801656, 113796472
    32,  16,  16384,  11622,  12,  13,   1, 113823128, 113728912, 106456872, 112306424, 114215968
    33,  16,  16384,  44585,  13,  14,   2, 114231544, 113896296, 114077224, 108177680, 109641720
    34,  16,  16384,  49424,  14,  20,   3, 110885128, 109631192, 111022768, 110867928, 115676272
    35,  16,  16384,  31881,  20,  23,   2, 115783448, 115164592, 114037336, 114137080, 112018240
    36,  16,  16384,  29019,  23,  23,   0, 113421480, 113251224, 113141440, 113010336, 112362056
    37,  16,  16384,  15255,  23,   1,   3, 113491120, 112250008, 112927232, 113051800, 114093448
    38,  16,  16384,  28235,   1,   1,   0, 113091072, 112961480, 114357320, 114178904, 114295752
    39,  16,  16384,  48479,   1,   1,   0, 113412544, 106243520, 113808536, 113744320, 112889600
    40,  16,  16384,  45353,   1,   1,   0, 114297896, 113047000, 113966128, 112808712, 114311712
    41,  16,  16384,  10127,   1,   5,   2, 114124992, 114000808, 112871560, 107510096, 113980464
    42,  16,  16384,  23720,   5,   4,   1, 114448256, 112888696, 114248816, 112765512, 113708256
    43,  16,  16384,   4859,   4,   5,   1, 113878264, 114043240, 112641488, 113872416, 113935040
    44,  16,  16384,  29315,   5,  15,   3, 113000192, 107943704, 113942264, 112893888, 110445352
    45,  16,  16384,  17860,  15,  15,   0, 111522288, 111426984, 111405752, 110406344, 111631592
    46,  16,  16384,  31279,  15,  17,   2, 110422064, 111058280, 110250584, 111429552, 114972728
    47,  16,  16384,  37950,  17,   3,   3, 116019472, 114706504, 115350040, 115989696, 108092304
    48,  16,  16384,  19786,   3,   3,   0, 111315304, 111201104, 111552688, 110882832, 110286912
    49,  16,  16384,  18515,   3,  13,   3, 111406560, 111613024, 110473632, 110259280, 114236568
    50,  16,  16384,  28688,  13,  23,   3, 114033608, 111563304, 113972168, 113903032, 113315272
    51,  16,  16384,  33323,  23,   0,   3, 113337448, 111784400, 113019592, 111900880, 113269208
    52,  16,  16384,  22297,   0,  15,   3, 113853296, 113732864, 112336792, 107548952, 111608856
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    54,  16,  16384,  10850,  15,  15,   0, 105747208, 111360288, 110170232, 110333576, 110219712
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   216,  16,  16384,   6754,   1,   3,   2, 114303256, 111830408, 110628176, 111212488, 109221584
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   218,  16,  16384,  47876,   3,   2,   1, 111295872, 111186936, 111289312, 111346656, 110621272
   219,  16,  16384,  26378,   2,  22,   3, 109831000, 110750048, 110810208, 109412544, 111344168
   220,  16,  16384,  29551,  22,  22,   0, 112703512, 112279976, 112257360, 112201792, 105837760
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   222,  16,  16384,  42609,  23,  22,   1, 112229488, 113242688, 113432440, 113337464, 112421184
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   563,  16,  16384,  30107,   8,   8,   0, 113755136, 113713776, 113503144, 113685112, 113665000
   564,  16,  16384,  48645,   8,   9,   1, 112334424, 113522792, 113762712, 113679448, 112921512
   565,  16,  16384,  24448,   9,   9,   0, 114429544, 114325024, 114039528, 113878584, 114091216
   566,  16,  16384,    284,   9,   6,   2, 110751128, 110885824, 111623176, 114230296, 110539728
   567,  16,  16384,  39931,   6,   6,   0, 109012368, 110137192, 110006232, 108838824, 110394080
   568,  16,  16384,  27324,   6,  10,   2, 108113152, 106102520, 110268880, 109984008, 105335328
   569,  16,  16384,  33135,  10,   8,   2, 111161000, 110929496, 110608224, 109586888, 107872304
   570,  16,  16384,  47620,   8,   8,   0, 113774072, 113507880, 113791760, 113424256, 113772512
   571,  16,  16384,  43031,   8,   9,   1, 113745792, 113813168, 113599944, 112564808, 114395960
   572,  16,  16384,  12540,   9,  12,   3, 114261584, 113643712, 114099784, 113898192, 113491584
   573,  16,  16384,  12825,  12,  13,   1, 111881584, 113390472, 113737232, 113698776, 112891872
   574,  16,  16384,  16811,  13,  17,   2, 114432232, 107915160, 113985232, 113842856, 116165920
   575,  16,  16384,   7011,  17,  16,   1, 116076160, 115735664, 114267312, 115798416, 115464344
   576,  16,  16384,  48071,  16,  14,   2, 115470992, 113807168, 115673152, 114495744, 111244272
   577,  16,  16384,  38389,  14,   5,   3, 110123440, 110835984, 110991592, 111005632, 114208360
   578,  16,  16384,   3053,   5,  21,   3, 113930856, 112520984, 107806720, 112892752, 115920560
   579,  16,  16384,   7565,  21,   5,   3, 110764424, 113590272, 115667528, 115716232, 113766912
   580,  16,  16384,  23483,   5,   2,   2, 114341928, 114061736, 113962088, 113683840, 110917480
   581,  16,  16384,   7287,   2,   1,   2, 110831120, 107780688, 109227016, 110724040, 108006312
   582,  16,  16384,  23619,   1,   4,   2, 114275648, 113998792, 113741640, 113915744, 114007632
   583,  16,  16384,  46166,   4,   3,   2, 112588056, 113727800, 113727944, 107655416, 111591688
   584,  16,  16384,  13073,   3,   2,   1, 110379720, 111382680, 111580048, 111489224, 110661712
   585,  16,  16384,  12168,   2,  16,   3, 110836896, 103654104, 110670496, 110779336, 114465128
   586,  16,  16384,  12610,  16,  21,   3, 115635984, 115676904, 115365992, 115730272, 116037768
   587,  16,  16384,  45600,  21,  23,   2, 116017192, 115998168, 115506248, 115681776, 113471432
   588,  16,  16384,  35207,  23,  10,   3, 113260888, 113204736, 107411848, 111985072, 110873352
   589,  16,  16384,  48625,  10,   9,   2, 111087840, 111074632, 110802200, 110560136, 113816608
   590,  16,  16384,  36794,   9,   6,   2, 113733736, 108298560, 113906296, 113993088, 109245912
   591,  16,  16384,  32393,   6,   6,   0, 110166112, 110099496, 109975952, 109842024, 108995048
   592,  16,  16384,  18151,   6,   6,   0, 110315128, 110210904, 110202128, 106963184, 108946400
   593,  16,  16384,  36662,   6,  10,   2, 110238432, 109107584, 109932408, 110132264, 110891472
   594,  16,  16384,  23272,  10,   9,   2, 110950920, 110967608, 104759704, 109757488, 114126664
   595,  16,  16384,   5272,   9,   9,   0, 113986352, 113840120, 111917760, 114080448, 112969768
   596,  16,  16384,   5498,   9,  20,   3, 114279064, 114020080, 113845240, 114049384, 114116280
   597,  16,  16384,   3525,  20,  20,   0, 114348568, 115437712, 115352456, 115369312, 115532336
   598,  16,  16384,  48231,  20,   1,   3, 115640656, 114520648, 115532224, 115307216, 113946048
   599,  16,  16384,   7942,   1,   1,   0, 112969136, 113869656, 113895720, 112886328, 113990000
   600,  16,  16384,  42403,   1,   1,   0, 113473280, 107183200, 114008904, 114101776, 114071464
   601,  16,  16384,  25644,   1,   5,   2, 114092552, 113846008, 113909832, 112663144, 113864520
   602,  16,  16384,  31868,   5,   5,   0, 112940008, 113942176, 113063480, 113738680, 108088728
   603,  16,  16384,  20082,   5,   4,   1, 113113736, 113842744, 113935248, 113894104, 107487888
   604,  16,  16384,  32144,   4,  21,   3, 114120056, 113541928, 113818016, 113611728, 115967296
   605,  16,  16384,  17551,  21,  21,   0, 116003952, 114374320, 115926008, 109836672, 116027616
   606,  16,  16384,  36073,  21,  14,   3, 116042416, 115936184, 115885936, 115911488, 110969496
   607,  16,  16384,   2886,  14,  14,   0, 110997976, 106218216, 109430712, 110633312, 110746336
   608,  16,  16384,  32003,  14,  14,   0, 109862704, 110767304, 110931720, 111044536, 108425808
   609,  16,  16384,  20959,  14,  15,   1, 111136224, 111142480, 110887280, 110982480, 111531248
   610,  16,  16384,  12080,  15,  19,   3, 111784368, 111263272, 111499392, 111171816, 113264392
   611,  16,  16384,  23370,  19,  23,   2, 113243592, 107325600, 111694776, 111842200, 110871160
   612,  16,  16384,  26053,  23,   4,   3, 107623904, 113213568, 113037616, 112952048, 113745528
   613,  16,  16384,  21737,   4,   5,   1, 111705944, 108443952, 113921896, 113598832, 114405992
   614,  16,  16384,  36734,   5,  21,   3, 113106328, 114304520, 107924368, 113886000, 116162720
   615,  16,  16384,   5394,  21,  20,   1, 116002304, 109982096, 115784072, 115725624, 115265744
   616,  16,  16384,  32541,  20,  20,   0, 115302872, 113859312, 115235400, 115746072, 114393416
   617,  16,  16384,  11471,  20,  21,   1, 114566632, 115498744, 115658560, 115599352, 116006000
   618,  16,  16384,  11869,  21,  19,   2, 115955368, 114333176, 115719312, 115105096, 113055184
   619,  16,  16384,  41949,  19,  19,   0, 107605248, 112962872, 112951328, 112928992, 113322008
   620,  16,  16384,  45456,  19,  20,   2, 113117472, 113217136, 111735224, 111904648, 115275224
   621,  16,  16384,  22001,  20,   7,   3, 115466768, 115205552, 112888880, 115389328, 111586752
   622,  16,  16384,  44797,   7,   6,   1, 111768192, 111586016, 111516760, 111323592, 109092536
   623,  16,  16384,  28513,   6,  11,   2, 110262752, 109128368, 109934392, 110103104, 111778744
   624,  16,  16384,  34562,  11,  11,   0, 111627624, 111560936, 111654952, 111277720, 111939304
   625,  16,  16384,  39399,  11,  10,   1, 105782136, 108981752, 111576336, 110286952, 110715224
   626,  16,  16384,  26862,  10,  11,   1, 110978784, 110537208, 110202104, 110493120, 111190376
   627,  16,  16384,   3179,  11,  10,   1, 111622192, 111493232, 107319544, 107121064, 104788976
   628,  16,  16384,  26565,  10,  17,   3, 110890520, 110814680, 110772904, 110726192, 115932784
   629,  16,  16384,  19058,  17,   7,   3, 115707808, 115632440, 114571512, 115901584, 103325440
   630,  16,  16384,  26980,   7,   3,   3, 109710952, 111546984, 111454872, 111187624, 110393840
   631,  16,  16384,  29810,   3,   2,   1, 105638552, 111210920, 111379456, 111229248, 110783280
   632,  16,  16384,  30260,   2,  17,   3, 110836480, 110706352, 109438744, 110636248, 116033080
   633,  16,  16384,  43325,  17,  17,   0, 116035176, 109974176, 115814784, 115938672, 115485488
   634,  16,  16384,  37525,  17,  14,   2, 114849496, 115883856, 114407376, 113136928, 110815616
   635,  16,  16384,  37394,  14,  14,   0, 110964688, 110676576, 110876712, 109770768, 104987280
   636,  16,  16384,  31972,  14,   6,   3, 108587800, 110798256, 110744184, 110856616, 110055240
   637,  16,  16384,   6868,   6,   7,   1, 109951368, 110067264, 110031480, 109657336, 111713432
   638,  16,  16384,  11486,   7,  10,   2, 111364120, 111208264, 111632408, 111333648, 109673512
   639,  16,  16384,  41746,  10,   8,   2, 111024816, 109633040, 110969256, 110962768, 112854920
   640,  16,  16384,   4383,   8,   8,   0, 113547912, 112617568, 113778696, 113731128, 113738384
   641,  16,  16384,  28415,   8,  11,   2, 106696232, 113531808, 113547776, 113973728, 110592792
   642,  16,  16384,  10446,  11,   7,   2, 111728912, 111782136, 110568488, 111154480, 111353872
   643,  16,  16384,  43073,   7,  13,   3, 111592888, 111441352, 110316752, 110977248, 114149752
   644,  16,  16384,  30247,  13,  12,   1, 114273608, 113987056, 113931176, 113886408, 112938408
   645,  16,  16384,  24407,  12,  14,   2, 113781112, 113704816, 113908128, 112533216, 109479648
   646,  16,  16384,   9402,  14,  12,   2, 111078504, 110903992, 110689288, 110654896, 113797472
   647,  16,  16384,  36685,  12,  17,   2, 113366704, 112394176, 113840232, 113565472, 115959664
   648,  16,  16384,  23163,  17,  17,   0, 111006928, 115934016, 114585088, 115819440, 116260024
   649,  16,  16384,   2108,  17,  16,   1, 116179264, 115819304, 115635000, 115855056, 115351640
   650,  16,  16384,  46089,  16,  17,   1, 115618680, 115154536, 113936632, 115392168, 116220064
   651,  16,  16384,  17816,  17,  18,   3, 116011568, 115787592, 115917888, 115766400, 112452816
   652,  16,  16384,  38693,  18,  18,   0, 106914104, 111104696, 111081376, 112430936, 112889024
   653,  16,  16384,  22582,  18,  19,   1, 112638240, 112319448, 112520744, 112202648, 113183440
   654,  16,  16384,   5379,  19,  18,   1, 113401392, 113199016, 112166728, 113172488, 112614520
   655,  16,  16384,  30859,  18,  19,   1, 110080880, 112625808, 112181160, 112192848, 113301496
   656,  16,  16384,   9387,  19,  19,   0, 111035688, 109907320, 113199168, 112878072, 111924320
   657,  16,  16384,  34955,  19,  18,   1, 113391568, 111882528, 113203776, 112109904, 112557120
   658,  16,  16384,  42280,  18,  21,   2, 112531688, 112397888, 112314024, 112241912, 115864552
   659,  16,  16384,  42018,  21,   9,   3, 115802760, 116003024, 111972224, 115728120, 114411024
   660,  16,  16384,  46868,   9,   9,   0, 111481096, 113813392, 113922776, 114016016, 114198088
   661,  16,  16384,  11441,   9,  20,   3, 114115912, 114054048, 114203528, 112022896, 115830104
   662,  16,  16384,  29692,  20,   6,   3, 115288904, 114481632, 115567296, 109878576, 110459944
   663,  16,  16384,  17869,   6,   8,   2, 110220752, 110122880, 109279176, 109741808, 113129344
   664,  16,  16384,  47289,   8,   9,   1, 112998632, 113669192, 113471160, 112652720, 114140832
   665,  16,  16384,   9369,   9,   9,   0, 114539616, 113764528, 113984960, 113951672, 114323688
   666,  16,  16384,  25797,   9,   8,   1, 111898112, 113906472, 114073288, 113922096, 113639568
   667,  16,  16384,  38067,   8,   9,   1, 113575576, 112536736, 112496120, 113541120, 114338752
   668,  16,  16384,  28394,   9,  10,   2, 114051304, 114289488, 111656216, 114097280, 110034792
   669,  16,  16384,  23743,  10,  21,   3, 110656824, 110684840, 110765104, 111024616, 115827792
   670,  16,  16384,  24225,  21,  21,   0, 116199472, 115783872, 115774272, 110875056, 116303624
   671,  16,  16384,  34269,  21,  20,   1, 115994816, 115880496, 115922032, 114717920, 113197800
   672,  16,  16384,  32578,  20,  23,   2, 112904400, 115590272, 115470960, 115346000, 112021344
   673,  16,  16384,  43724,  23,  23,   0, 113337912, 110706808, 110047104, 113384064, 113334840
   674,  16,  16384,  28313,  23,  19,   2, 112018232, 111863112, 113383072, 111639784, 113394144
   675,  16,  16384,   3818,  19,  18,   1, 113142576, 111844392, 113136608, 112909080, 112665672
   676,  16,  16384,  34896,  18,  19,   1, 112545792, 112171968, 112552904, 112538096, 112093960
   677,  16,  16384,   5078,  19,  21,   2, 113522360, 112818584, 112851912, 111888152, 115860680
   678,  16,  16384,  15585,  21,  22,   2, 116025000, 115404528, 115358152, 115635928, 106436088
   679,  16,  16384,  27240,  22,  22,   0, 112542432, 111222384, 112231032, 109616448, 112941456
   680,  16,  16384,  14641,  22,  23,   1, 112877944, 112452024, 112624840, 112470592, 113431392
   681,  16,  16384,    949,  23,  23,   0, 111604664, 111995728, 112097896, 113015640, 113230096
   682,  16,  16384,  43770,  23,  21,   2, 113173968, 111925880, 113111904, 107528752, 114697856
   683,  16,  16384,  13163,  21,  20,   1, 115796784, 115962704, 115727632, 115685800, 115237560
   684,  16,  16384,  21882,  20,  20,   0, 115574952, 115002080, 115356280, 115330032, 114337816
   685,  16,  16384,   9186,  20,  23,   2, 115698552, 115621296, 114197208, 115295176, 113489672
   686,  16,  16384,   4124,  23,  21,   2, 112221104, 113596936, 113316328, 113292416, 116466344
   687,  16,  16384,  39978,  21,  21,   0, 115972368, 115881568, 116054368, 114614000, 115917472
   688,  16,  16384,   4706,  21,  21,   0, 115841768, 115832152, 115993672, 111050936, 113404376
   689,  16,  16384,   5745,  21,  17,   3, 114735216, 115753208, 115761744, 115632440, 110297112
   690,  16,  16384,  48384,  17,  16,   1, 114720712, 115845408, 115990400, 115694272, 115497024
   691,  16,  16384,  33504,  16,  17,   1, 115534960, 115222864, 115406816, 115252016, 116020928
   692,  16,  16384,  30970,  17,  17,   0, 116094856, 108815344, 115658688, 115767752, 116069472
   693,  16,  16384,  36333,  17,   5,   3, 115831960, 115741040, 112809904, 114604176, 113232272
   694,  16,  16384,  43370,   5,  19,   3, 114240248, 114007520, 113742472, 112878696, 113202984
   695,  16,  16384,     13,  19,  21,   2, 113418072, 112875160, 111903512, 113182592, 113321608
   696,  16,  16384,  49377,  21,   3,   3, 116025160, 109988744, 115774432, 114545224, 109302784
   697,  16,  16384,  18583,   3,   3,   0, 111356304, 111259864, 111334552, 110333416, 111588896
   698,  16,  16384,   2563,   3,   0,   2, 111307848, 111367376, 111346848, 111382080, 112612960
   699,  16,  16384,  38522,   0,   1,   1, 113520056, 110872432, 113633640, 113662824, 114069288
   700,  16,  16384,  44666,   1,  19,   3, 114292480, 112682544, 113306088, 113715384, 113290232
   701,  16,  16384,  42867,  19,  16,   3, 111846776, 112453792, 112911712, 113135560, 114401296
   702,  16,  16384,  31734,  16,   5,   3, 115887760, 115545840, 115523192, 115520752, 114160920
   703,  16,  16384,   5237,   5,  15,   3, 113178008, 114240608, 107711656, 112774200, 111384816
   704,  16,  16384,  25629,  15,  13,   2, 110832080, 111521224, 106018992, 111573616, 113044736
   705,  16,  16384,  43721,  13,  17,   2, 108360984, 114142264, 114030600, 112976248, 116245480
   706,  16,  16384,  10802,  17,   1,   3, 115944240, 115407920, 115831304, 114568456, 112971344
   707,  16,  16384,  24498,   1,   3,   2, 114265584, 113675208, 111335728, 113893720, 111321624
   708,  16,  16384,  19163,   3,   2,   1, 111319240, 111031416, 111144688, 108835696, 110972696
   709,  16,  16384,  17077,   2,   2,   0, 111097088, 110935888, 110894192, 110643656, 110763744
   710,  16,  16384,  37380,   2,  17,   3, 111140592, 107059896, 110896936, 105027984, 116098032
   711,  16,  16384,  19754,  17,  16,   1, 115991784, 112962336, 114843848, 115827424, 114718456
   712,  16,  16384,  48710,  16,  17,   1, 115155048, 115453048, 115546936, 113957384, 115848224
   713,  16,  16384,  44076,  17,  17,   0, 115930424, 115937224, 112983864, 114847296, 116218352
   714,  16,  16384,  29230,  17,  12,   2, 116013464, 114739192, 115861648, 109884848, 112561784
   715,  16,  16384,  45645,  12,  12,   0, 113741144, 112338312, 113485160, 113579416, 113957232
   716,  16,  16384,  45944,  12,   1,   3, 113938456, 113363120, 112376376, 113735336, 114138424
   717,  16,  16384,  42895,   1,   1,   0, 114037952, 113791976, 114022688, 114088352, 107705360
   718,  16,  16384,  46711,   1,   1,   0, 112894000, 112611136, 113876864, 112915552, 114143528
   719,  16,  16384,  35704,   1,  22,   3, 113017144, 114035264, 114019128, 114142144, 112445840
   720,  16,  16384,  48046,  22,   1,   3, 112635216, 111011488, 112412664, 111177480, 114169240
   721,  16,  16384,  33164,   1,  11,   3, 114258048, 113933816, 112619040, 114029552, 111380432
   722,  16,  16384,  40772,  11,  10,   1, 111779440, 110182880, 111548368, 110401496, 111038728
   723,  16,  16384,  44482,  10,   6,   2, 109751832, 108864392, 110874776, 110973768, 108946168
   724,  16,  16384,  25017,   6,   6,   0, 110120296, 110067584, 109836112, 108931552, 110331952
   725,  16,  16384,  12598,   6,   7,   1, 110128064, 109782904, 110111952, 102820080, 111568336
   726,  16,  16384,  41893,   7,   7,   0, 110280960, 111697568, 111506416, 111361680, 109932936
   727,  16,  16384,  27247,   7,   8,   2, 111473744, 111415888, 105600840, 111383648, 113756512
   728,  16,  16384,  10812,   8,  11,   2, 113484640, 111417800, 113069872, 113915184, 111574824
   729,  16,  16384,  11467,  11,  11,   0, 111436680, 110578328, 111251704, 111423192, 110597664
   730,  16,  16384,  42030,  11,   7,   2, 111827592, 111593376, 111486880, 105524424, 109380896
   731,  16,  16384,   5660,   7,   7,   0, 111011088, 111771080, 111303440, 111377424, 110400544
   732,  16,  16384,  36468,   7,   1,   3, 111364072, 111342688, 105136136, 111255264, 112641816
   733,  16,  16384,   6582,   1,   0,   1, 114160256, 113915232, 113855984, 113882856, 113566544
   734,  16,  16384,  37837,   0,   1,   1, 112724856, 105560352, 113568608, 113593208, 114111448
   735,  16,  16384,  46237,   1,   3,   2, 113807512, 112483072, 113926264, 113816480, 111486072
   736,  16,  16384,  20269,   3,   7,   3, 111610176, 110925528, 110661032, 111325408, 111358528
   737,  16,  16384,  21934,   7,  10,   2, 111621408, 111338792, 110282952, 111447368, 104588632
   738,  16,  16384,  31573,  10,  10,   0, 111210424, 109859544, 110677328, 110977608, 111053600
   739,  16,  16384,  13263,  10,  21,   3, 111117768, 108501048, 110930048, 111045792, 116113280
   740,  16,  16384,  11482,  21,  18,   2, 115864816, 115775848, 115999808, 113118344, 112777592
   741,  16,  16384,  45170,  18,  22,   2, 111242480, 112523576, 112691648, 111324440, 112380832
   742,  16,  16384,  38827,  22,  10,   3, 112856432, 112292120, 112317384, 106566688, 109799088
   743,  16,  16384,  10305,  10,   7,   2, 111049096, 109797520, 110832128, 110850640, 111233520
   744,  16,  16384,  24399,   7,   8,   2, 111466224, 110359432, 105343064, 110373040, 113776720
   745,  16,  16384,  30311,   8,   8,   0, 112467320, 113462608, 113088160, 105797912, 113664880
   746,  16,  16384,  35289,   8,   9,   1, 113890968, 113416448, 113488400, 113533528, 114437520
   747,  16,  16384,  45967,   9,   8,   1, 114129200, 112836152, 107628240, 113450736, 105800240
   748,  16,  16384,   6760,   8,   9,   1, 113814856, 113404736, 113733856, 113311904, 114496824
   749,  16,  16384,  22000,   9,   8,   1, 113850248, 113998560, 113927720, 112709912, 113846168
   750,  16,  16384,  43163,   8,   9,   1, 113712048, 110734352, 108501720, 113058640, 113174872
   751,  16,  16384,  30726,   9,   9,   0, 114573784, 114091872, 113801952, 113939496, 113045984
   752,  16,  16384,  25889,   9,  21,   3, 113078592, 108115680, 113878192, 112976160, 116248608
   753,  16,  16384,  18735,  21,   9,   3, 116056776, 115883272, 110032312, 116122096, 114049472
   754,  16,  16384,  13125,   9,   6,   2, 114175904, 113061376, 113134992, 113925088, 110243920
   755,  16,  16384,  13078,   6,  15,   3, 103392032, 110315848, 109875424, 109878776, 111345192
   756,  16,  16384,  35079,  15,  15,   0, 111480968, 110490216, 111645056, 110273488, 110577008
   757,  16,  16384,  18760,  15,   5,   3, 111403512, 111378936, 111675128, 110404392, 114097624
   758,  16,  16384,  35259,   5,   5,   0, 114176216, 111855480, 114162552, 113992384, 114253448
   759,  16,  16384,  28646,   5,   3,   2, 109684320, 112105384, 111724744, 114003168, 111258008
   760,  16,  16384,    692,   3,  12,   3, 111576000, 110220192, 111421648, 111530064, 112408072
   761,  16,  16384,  31418,  12,   1,   3, 112533440, 113461008, 113550000, 112460472, 114174864
   762,  16,  16384,  28222,   1,  10,   3, 114272152, 113916224, 113982544, 114274192, 109928016
   763,  16,  16384,  21534,  10,  10,   0, 111171104, 110745840, 110495968, 109741080, 110285864
   764,  16,  16384,  34306,  10,  10,   0, 110956896, 109924352, 110619384, 110870144, 110950272
   765,  16,  16384,  27439,  10,  14,   3, 104830304, 110898960, 109528720, 110698928, 110861392
   766,  16,  16384,   1934,  14,  17,   2, 109887840, 109940624, 110894808, 108130040, 114994752
   767,  16,  16384,  34145,  17,  17,   0, 115598240, 115989464, 115978120, 114910080, 110331064
   768,  16,  16384,  14858,  17,  16,   1, 116031752, 115763320, 115717664, 115199272, 115699432
   769,  16,  16384,  28792,  16,  14,   2, 115506176, 113996848, 115378000, 115427568, 110877960
   770,  16,  16384,  10241,  14,  23,   3, 109912736, 111096800, 110915856, 110829408, 113343320
   771,  16,  16384,  48504,  23,  23,   0, 113345440, 113161992, 111558408, 113169480, 113179136
   772,  16,  16384,  40189,  23,  23,   0, 113388240, 111650032, 113191920, 112177336, 113469448
   773,  16,  16384,  22743,  23,  22,   1, 113422600, 107346624, 112734400, 111931672, 112719576
   774,  16,  16384,  24842,  22,  20,   2, 112805576, 112568704, 112405464, 106418224, 115724880
   775,  16,  16384,  43409,  20,  23,   2, 115387176, 112710648, 115433616, 115242152, 112055336
   776,  16,  16384,  19357,  23,  10,   3, 112108664, 113241968, 113186128, 111987696, 109853784
   777,  16,  16384,  29320,  10,  21,   3, 111373200, 109628144, 110605912, 111010320, 116282544
   778,  16,  16384,  12986,  21,  20,   1, 114770880, 116111544, 115877880, 114257328, 109756664
   779,  16,  16384,  20583,  20,  21,   1, 114245488, 115446416, 115284600, 115031584, 113510040
   780,  16,  16384,   3056,  21,   3,   3, 116286560, 115472864, 114899864, 115830168, 111351176
   781,  16,  16384,  11859,   3,   3,   0, 111556472, 105119952, 111090616, 110206416, 111393464
   782,  16,  16384,   6529,   3,   4,   2, 111469520, 111368976, 111409824, 111187176, 113766928
   783,  16,  16384,  15191,   4,   1,   2, 112608168, 113661032, 113737920, 112578488, 112850512
   784,  16,  16384,  22180,   1,   1,   0, 114037416, 114120280, 113967976, 113181608, 114302384
   785,  16,  16384,  42116,   1,   0,   1, 114217464, 114057984, 113962328, 114376048, 112257304
   786,  16,  16384,   6746,   0,   2,   2, 112408096, 113712816, 113617768, 113495136, 110120440
   787,  16,  16384,  24996,   2,   2,   0, 110551856, 110672440, 110945304, 108209040, 111177288
   788,  16,  16384,   7372,   2,  20,   3, 111149776, 110441072, 109390776, 110709152, 115458816
   789,  16,  16384,  37106,  20,  22,   2, 115442056, 114084848, 113805584, 115438240, 111452360
   790,  16,  16384,  43930,  22,  22,   0, 112824984, 112341952, 112211560, 112553008, 110903896
   791,  16,  16384,  27801,  22,  23,   1, 111593224, 110992456, 112332864, 111149512, 113213064
   792,  16,  16384,  47276,  23,  22,   1, 113515176, 113252888, 112047736, 112986896, 112319728
   793,  16,  16384,  39373,  22,  23,   1, 107730056, 111332320, 110411440, 112347632, 112902248
   794,  16,  16384,  33713,  23,  23,   0, 107666304, 112851792, 113023672, 111708032, 113371048
   795,  16,  16384,  46720,  23,  18,   2, 112276424, 113135536, 113202848, 111963272, 111400360
   796,  16,  16384,  15403,  18,  19,   1, 112599272, 112487376, 111252248, 112148352, 112252368
   797,  16,  16384,  31164,  19,  19,   0, 113443920, 111635248, 112977384, 113024496, 112099648
   798,  16,  16384,  37637,  19,  19,   0, 113229496, 113582464, 111996008, 113326816, 113378672
   799,  16,  16384,  33866,  19,  18,   1, 111932256, 107346624, 112880816, 112063360, 111137568
   800,  16,  16384,   6215,  18,   4,   3, 111098920, 111218376, 112725680, 112135760, 112686136
   801,  16,  16384,  13999,   4,  19,   3, 113992832, 113725568, 113649056, 113591400, 112472760
   802,  16,  16384,   3390,  19,   9,   3, 113233256, 113181240, 111648024, 113075936, 114204048
   803,  16,  16384,  41429,   9,  11,   2, 114324088, 113976456, 113784680, 112756016, 111634696
   804,  16,  16384,   5282,  11,   6,   2, 110516584, 105335704, 110921928, 111397504, 108682712
   805,  16,  16384,   3230,   6,  13,   3, 110234752, 109708272, 108479240, 109788960, 107972952
   806,  16,  16384,     47,  13,  19,   3, 114353848, 114232768, 114128104, 114269168, 111828480
   807,  16,  16384,   1591,  19,  20,   2, 113717752, 111734688, 113085472, 113359128, 114573336
   808,  16,  16384,  12815,  20,  21,   1, 115504384, 115058920, 115550584, 115445752, 116143952
   809,  16,  16384,  46436,  21,  21,   0, 116112080, 115377632, 110627600, 114590408, 116015184
   810,  16,  16384,   2068,  21,  20,   1, 115919848, 115785040, 115905224, 112926368, 115660360
   811,  16,  16384,  13066,  20,  21,   1, 115443560, 115258768, 115411320, 114165240, 115768224
   812,  16,  16384,   8423,  21,  22,   2, 110325512, 115633144, 115973424, 115691840, 112481144
   813,  16,  16384,  27557,  22,  20,   2, 112462600, 112380304, 106688832, 112030256, 114361176
   814,  16,  16384,  43190,  20,  22,   2, 115887328, 113954552, 109862456, 114095560, 112722960
   815,  16,  16384,  20782,  22,  22,   0, 112535104, 112348264, 112291328, 112555336, 112164024
   816,  16,  16384,   7413,  22,  23,   1, 112637632, 111071032, 111943600, 111347728, 113225864
   817,  16,  16384,  23647,  23,  23,   0, 113470280, 112077744, 107524424, 111935392, 113641416
   818,  16,  16384,   1862,  23,  22,   1, 111872376, 113356896, 111609976, 113180272, 111212712
   819,  16,  16384,  40239,  22,  13,   3, 112591664, 109777192, 112460680, 112455112, 108530600
   820,  16,  16384,  30951,  13,   1,   3, 114187320, 114113000, 113855544, 114304704, 112459800
   821,  16,  16384,   5665,   1,   1,   0, 114336360, 113764840, 112902832, 112391432, 114073088
   822,  16,  16384,   9655,   1,   3,   2, 114164736, 108031504, 112851648, 113985592, 111380984
   823,  16,  16384,  42549,   3,   0,   2, 111611568, 111017368, 111377960, 111465656, 112602912
   824,  16,  16384,  12314,   0,   1,   1, 113833912, 113672488, 112404360, 113307504, 113995208
   825,  16,  16384,  43053,   1,   4,   2, 113949248, 113586920, 113804896, 113001368, 113959440
   826,  16,  16384,  15377,   4,   4,   0, 112911880, 112608032, 113754368, 113423064, 110887488
   827,  16,  16384,  22426,   4,   2,   2, 109666480, 113786872, 113589368, 113770712, 110888976
   828,  16,  16384,  49760,   2,   3,   1, 103571448, 109367976, 110852992, 110396688, 110906664
   829,  16,  16384,   3613,   3,   2,   1, 110157720, 108813872, 111388504, 111431184, 110913792
   830,  16,  16384,  20610,   2,   2,   0, 111104880, 109560040, 110844528, 103561192, 110877864
   831,  16,  16384,  10053,   2,  20,   3, 110867168, 110561136, 110534944, 110759064, 114697136
   832,  16,  16384,  48987,  20,  21,   1, 115476656, 115616832, 115407840, 114094328, 115937056
   833,  16,  16384,  23445,  21,  20,   1, 116039208, 111386624, 114261256, 114575864, 114232560
   834,  16,  16384,  35050,  20,   3,   3, 115567080, 114107488, 115499976, 115279992, 111061872
   835,  16,  16384,  38485,   3,  19,   3, 111480352, 105603576, 111361864, 110170600, 113352496
   836,  16,  16384,   6667,  19,  18,   1, 106322992, 113011280, 112004040, 112856752, 111144592
   837,  16,  16384,  43310,  18,  13,   3, 112517624, 110903792, 108748456, 109359928, 113018848
   838,  16,  16384,  12008,  13,  15,   2, 113221408, 107946848, 114022176, 113895920, 111730664
   839,  16,  16384,  24305,  15,   1,   3, 111650904, 110364688, 111440320, 111403128, 114250336
   840,  16,  16384,  27199,   1,  17,   3, 113232168, 113997752, 107875152, 112067064, 116091624
   841,  16,  16384,   1519,  17,  16,   1, 116030688, 116001648, 110015752, 115982272, 115855680
   842,  16,  16384,  34732,  16,  16,   0, 115752272, 114060976, 115375088, 109216272, 115215840
   843,  16,  16384,  41884,  16,  17,   1, 114197240, 115314280, 114214080, 115584416, 115860656
   844,  16,  16384,  43193,  17,  17,   0, 115741360, 115696192, 115780448, 113090136, 116111600
   845,  16,  16384,  11907,  17,  15,   2, 114351784, 114410432, 115714560, 115649032, 110612640
   846,  16,  16384,  20600,  15,   6,   3, 111531192, 110548592, 111455784, 111703416, 110277856
   847,  16,  16384,  41190,   6,  10,   2, 110111384, 108968080, 110088400, 110009032, 110884984
   848,  16,  16384,  46721,  10,  10,   0, 111064568, 111086744, 111296728, 108911320, 111161032
   849,  16,  16384,   5529,  10,  10,   0, 110944344, 109691376, 110631904, 104723296, 110960176
   850,  16,  16384,  31786,  10,  10,   0, 111050448, 110877648, 110657256, 110547272, 110027504
   851,  16,  16384,  25070,  10,  10,   0, 109626128, 109559264, 110817352, 109886432, 111113216
   852,  16,  16384,  40868,  10,   4,   3, 110841320, 104749256, 110779792, 110682104, 113855928
   853,  16,  16384,   6981,   4,   4,   0, 114088120, 113730256, 111425104, 113773832, 114112232
   854,  16,  16384,  43159,   4,   4,   0, 113982992, 112477608, 107803112, 113873824, 113673856
   855,  16,  16384,  49874,   4,   0,   2, 112862256, 113802880, 113704416, 113745952, 112385272
   856,  16,  16384,  10993,   0,  16,   3, 113797032, 113553288, 113621584, 112374776, 115294248
   857,  16,  16384,  25200,  16,  17,   1, 115720048, 115131392, 113059960, 115772064, 114705856
   858,  16,  16384,  23759,  17,  14,   2, 114672408, 114365960, 115899664, 114697336, 110553560
   859,  16,  16384,  34126,  14,   0,   3, 110720448, 110678304, 110683336, 110969624, 113692952
   860,  16,  16384,  33765,   0,   0,   0, 113953824, 113281952, 112439856, 113500632, 113841752
   861,  16,  16384,   2938,   0,  22,   3, 113847008, 113578624, 112200440, 112338240, 111298592
   862,  16,  16384,  37217,  22,  23,   1, 112329984, 111252480, 111525864, 107563192, 113443904
   863,  16,  16384,  12614,  23,  22,   1, 113327936, 113134680, 113223576, 111821688, 112495424
   864,  16,  16384,  29933,  22,  18,   2, 112052824, 111637576, 112411440, 111413552, 112599704
   865,  16,  16384,  46489,  18,  18,   0, 111220976, 112467744, 112599328, 111951128, 112670800
   866,  16,  16384,  18426,  18,  10,   3, 112767800, 112439856, 111017632, 112274224, 109230208
   867,  16,  16384,  37389,  10,  10,   0, 111018264, 110485072, 110031256, 110848344, 111021112
   868,  16,  16384,  22125,  10,  10,   0, 111334848, 110838136, 110839080, 110870872, 108312064
   869,  16,  16384,  17520,  10,   5,   3, 106636672, 108553224, 110737656, 110763696, 113030584
   870,  16,  16384,  22201,   5,   1,   2, 114275648, 113886080, 114357000, 113990528, 113944736
   871,  16,  16384,  38857,   1,   3,   2, 114142600, 113909320, 113964368, 110508248, 111711264
   872,  16,  16384,  31382,   3,   2,   1, 111356672, 111306576, 105484304, 111212912, 110961248
   873,  16,  16384,  23859,   2,   2,   0, 111101640, 110697088, 109707920, 110725232, 109573144
   874,  16,  16384,  26660,   2,  13,   3, 110940040, 110732168, 104733312, 110884496, 113117576
   875,  16,  16384,  43258,  13,  12,   1, 114374568, 114117872, 113958152, 114293776, 113839984
   876,  16,  16384,  22209,  12,  17,   2, 113567736, 113769504, 113471792, 113493944, 115160048
   877,  16,  16384,  25241,  17,  17,   0, 114431344, 115687440, 115798400, 115842272, 115797424
   878,  16,  16384,  41801,  17,   6,   3, 116040528, 115775944, 115775584, 116005552, 110474824
   879,  16,  16384,  18460,   6,  20,   3, 110356496, 109914512, 108950648, 110102200, 107060968
   880,  16,  16384,  11716,  20,  21,   1, 114382264, 115506840, 115220592, 115289496, 116372368
   881,  16,  16384,   1501,  21,  18,   2, 116146448, 115183624, 114109400, 114180424, 111499472
   882,  16,  16384,  27588,  18,   6,   3, 112651440, 112375904, 110023888, 112745056, 110094464
   883,  16,  16384,   3414,   6,   6,   0, 108758624, 109997584, 110087016, 109994872, 108983968
   884,  16,  16384,  43364,   6,  16,   3, 110092440, 108977888, 110139008, 110009120, 114301744
   885,  16,  16384,   3425,  16,  15,   2, 115343744, 115144472, 109514264, 115304904, 111666448
   886,  16,  16384,  17410,  15,  15,   0, 111715848, 111732504, 111696880, 105796568, 110307848
   887,  16,  16384,  27607,  15,  15,   0, 111274128, 111290616, 111358064, 110270928, 111828952
   888,  16,  16384,  12233,  15,   2,   3, 110696528, 111166880, 111407952, 111485552, 110733280
   889,  16,  16384,  13735,   2,   0,   2, 110761648, 110733760, 109726072, 110788632, 113881408
   890,  16,  16384,   9751,   0,   0,   0, 113609248, 112191336, 112237688, 113706616, 112490184
   891,  16,  16384,  46700,   0,   1,   1, 113776864, 113724088, 113612240, 112389776, 114202768
   892,  16,  16384,   4464,   1,   0,   1, 114013408, 112798304, 113929208, 113849824, 112513544
   893,  16,  16384,  32549,   0,   0,   0, 113432112, 112524320, 113669840, 113363608, 112536632
   894,  16,  16384,  34692,   0,   0,   0, 114045920, 113651624, 113877136, 107801224, 113800472
   895,  16,  16384,  27653,   0,   1,   1, 112581968, 112034120, 112515640, 113759128, 114207056
   896,  16,  16384,  15867,   1,  11,   3, 114288184, 112848352, 114091792, 113861120, 110294504
   897,  16,  16384,  16019,  11,   4,   3, 111739808, 111452616, 111379776, 111401184, 113522632
   898,  16,  16384,  46254,   4,   5,   1, 113494248, 107409840, 113521896, 112467224, 113424752
   899,  16,  16384,  49967,   5,   4,   1, 108149576, 112880640, 113995064, 114041280, 111474544
   900,  16,  16384,  20505,   4,   5,   1, 114002160, 113620336, 111787744, 109445856, 112874408
   901,  16,  16384,  38670,   5,   4,   1, 114113600, 109671560, 111771840, 112707960, 113699416
   902,  16,  16384,  10279,   4,   4,   0, 112887896, 111465896, 114064984, 114010552, 112187976
   903,  16,  16384,  46964,   4,   3,   2, 108642248, 113707064, 113638392, 113452488, 111263920
   904,  16,  16384,   1584,   3,   1,   2, 111666480, 111368048, 110372104, 111421056, 113991184
   905,  16,  16384,  33634,   1,   5,   2, 114287552, 114193008, 113719856, 112879640, 113936640
   906,  16,  16384,   6257,   5,   4,   1, 114097736, 112849472, 114173040, 112682720, 111547400
   907,  16,  16384,   1440,   4,   9,   3, 112687040, 113655472, 113893352, 113830632, 114144376
   908,  16,  16384,  44089,   9,  22,   3, 113029600, 113975016, 113614440, 113815824, 112174344
   909,  16,  16384,   7157,  22,  18,   2, 111004248, 112315536, 112401288, 112377048, 112268512
   910,  16,  16384,  23798,  18,  10,   3, 112783240, 112600896, 112565800, 110935848, 110941232
   911,  16,  16384,  26419,  10,   8,   2, 111061576, 110515888, 103486664, 110611816, 113709296
   912,  16,  16384,  13719,   8,   9,   1, 113729720, 113494344, 112858248, 113770744, 114065896
   913,  16,  16384,  28249,   9,   8,   1, 114194008, 114046880, 113008952, 113841176, 107425464
   914,  16,  16384,  47378,   8,   9,   1, 112999552, 112311048, 113525560, 112442360, 114174272
   915,  16,  16384,  40613,   9,   4,   3, 113077872, 113908832, 113851632, 113914704, 113877248
   916,  16,  16384,  44296,   4,   7,   3, 113675304, 110177936, 112401416, 113843096, 105680432
   917,  16,  16384,  10987,   7,   7,   0, 111480688, 111377384, 111164712, 111400784, 110277960
   918,  16,  16384,  28929,   7,   8,   2, 111430160, 111549168, 111546152, 111592472, 113986088
   919,  16,  16384,  49815,   8,   9,   1, 113484976, 112604480, 113695056, 113435488, 114223336
   920,  16,  16384,  42533,   9,   8,   1, 114057672, 111687416, 114208352, 113873920, 112516512
   921,  16,  16384,  33486,   8,  16,   3, 113689432, 113459024, 112641536, 113419128, 115678440
   922,  16,  16384,  49573,  16,  16,   0, 115752304, 115566984, 114117360, 115263480, 114668200
   923,  16,  16384,  36109,  16,  17,   1, 115169712, 109437112, 115242040, 113998008, 115887752
   924,  16,  16384,  44011,  17,   3,   3, 110434632, 115682424, 115554696, 114600936, 110170416
   925,  16,  16384,  29544,   3,   3,   0, 110085552, 109954320, 111555472, 111088088, 111404648
   926,  16,  16384,  13895,   3,   5,   2, 111646192, 111444256, 110358504, 111321112, 114234792
   927,  16,  16384,  44576,   5,   5,   0, 113970280, 112795200, 114098120, 113804728, 111642984
   928,  16,  16384,   6621,   5,   5,   0, 114191952, 113939328, 114062760, 113953800, 112733456
   929,  16,  16384,   3277,   5,   2,   2, 114344216, 110479880, 111289288, 113798760, 110848112
   930,  16,  16384,  43864,   2,   4,   2, 104878888, 110379352, 110504784, 110787040, 113893240
   931,  16,  16384,  28181,   4,  23,   3, 114077880, 112584608, 113639736, 113803992, 113392576
   932,  16,  16384,  24625,  23,  23,   0, 107580240, 113041488, 113204016, 112860704, 113311552
   933,  16,  16384,  43052,  23,  18,   2, 112172896, 113059672, 113175552, 111734760, 112574376
   934,  16,  16384,  41421,  18,  21,   2, 112628000, 112645560, 111548696, 112586928, 110548872
   935,  16,  16384,  34016,  21,  21,   0, 116080400, 115698808, 115701872, 115535824, 115589264
   936,  16,  16384,  17177,  21,   3,   3, 115287480, 115752880, 113942960, 115642064, 111547800
   937,  16,  16384,  32411,   3,   2,   1, 111233376, 111622776, 110389304, 111530824, 109724384
   938,  16,  16384,   4063,   2,  19,   3, 111098272, 111046208, 110421568, 110983536, 113168592
   939,  16,  16384,   1619,  19,  13,   3, 112082472, 113005000, 113022032, 113267880, 112174840
   940,  16,  16384,  43040,  13,  17,   2, 114380200, 114043056, 114267632, 113235464, 115937056
   941,  16,  16384,   8255,  17,  15,   2, 115296384, 115367504, 115567096, 115854560, 111553432
   942,  16,  16384,  42272,  15,  16,   2, 111679888, 110472968, 111123720, 111264120, 115514608
   943,  16,  16384,  31712,  16,  16,   0, 114249536, 115473824, 115301280, 115348792, 108699664
   944,  16,  16384,  16491,  16,  16,   0, 115457680, 115717040, 115546712, 115124280, 115834840
   945,  16,  16384,  22789,  16,  12,   2, 115408808, 115422552, 114083120, 115261304, 113591560
   946,  16,  16384,  45432,  12,  17,   2, 113023848, 111496360, 112546800, 113546816, 110354464
   947,  16,  16384,   1688,  17,   1,   3, 115767976, 114454896, 115864864, 115549232, 107840872
   948,  16,  16384,  30531,   1,   1,   0, 114007296, 113766048, 114065848, 111795568, 114317048
   949,  16,  16384,  46348,   1,   1,   0, 113945320, 113796984, 112961712, 113985040, 113978496
   950,  16,  16384,  41612,   1,   1,   0, 114462184, 113578040, 108353384, 113943208, 111779760
   951,  16,  16384,  38826,   1,   0,   1, 113053208, 113724568, 113892952, 113966184, 113819480
   952,  16,  16384,  24527,   0,   1,   1, 113748512, 113475688, 113609872, 113714152, 113982144
   953,  16,  16384,  47983,   1,   1,   0, 113091432, 111897928, 113767064, 113988640, 114115296
   954,  16,  16384,  49298,   1,   0,   1, 112705368, 114130920, 114058800, 114060224, 111221840
   955,  16,  16384,  27694,   0,   3,   2, 107583336, 112280008, 113437528, 113336856, 111458912
   956,  16,  16384,  40818,   3,  11,   3, 111450944, 110711208, 110862024, 111230704, 111326328
   957,  16,  16384,   6934,  11,  11,   0, 110436872, 111579280, 110565592, 111530064, 111354784
   958,  16,  16384,   8220,  11,  11,   0, 108129752, 108996488, 111515144, 111827984, 110457016
   959,  16,  16384,  49971,  11,   9,   2, 111524680, 111320392, 111301304, 110313504, 114205552
   960,  16,  16384,  32546,   9,   9,   0, 107088840, 113902800, 113815128, 114041016, 113817864
   961,  16,  16384,  27112,   9,   8,   1, 113075256, 114106704, 112928832, 114089456, 112664440
   962,  16,  16384,  34205,   8,   6,   2, 113788816, 112407144, 113592152, 113310992, 108847840
   963,  16,  16384,  44734,   6,  19,   3, 108848704, 109964072, 108720528, 109920968, 113430464
   964,  16,  16384,  18095,  19,  10,   3, 112444584, 113226272, 113000608, 113135784, 110880128
   965,  16,  16384,  16414,  10,   3,   3, 109962920, 104862432, 110773640, 111011464, 111448080
   966,  16,  16384,  22953,   3,   2,   1, 111576224, 111466920, 105405544, 111479504, 111024088
   967,  16,  16384,  28516,   2,   2,   0, 110856648, 110660664, 110747976, 109634144, 110779712
   968,  16,  16384,  32236,   2,  10,   3, 110815384, 103762824, 110297760, 109489104, 111336696
   969,  16,  16384,  31380,  10,  11,   1, 111022464, 108714552, 110896248, 110876352, 111723120
   970,  16,  16384,  37292,  11,  11,   0, 111419312, 110295248, 110272048, 111436880, 110617440
   971,  16,  16384,  36385,  11,  10,   1, 111603408, 111485512, 110479952, 111497048, 111197776
   972,  16,  16384,  41948,  10,   9,   2, 111046136, 104802312, 110720008, 110859744, 114162600
   973,  16,  16384,  24083,   9,  12,   3, 114164728, 114052736, 113751960, 108198008, 113808208
   974,  16,  16384,  42794,  12,   5,   3, 113916384, 113732304, 112452704, 107313128, 114093928
   975,  16,  16384,  46881,   5,   5,   0, 113987008, 113879032, 113814568, 113767776, 111953008
   976,  16,  16384,  38816,   5,   4,   1, 114082416, 112889632, 114048344, 113911808, 114123896
   977,  16,  16384,   9959,   4,   4,   0, 114045816, 113780712, 114044360, 113729920, 113775520
   978,  16,  16384,  15903,   4,  15,   3, 113926272, 111387352, 113903248, 113903328, 111802080
   979,  16,  16384,  38450,  15,  15,   0, 111648432, 110586720, 110442520, 110486664, 110950680
   980,  16,  16384,  39582,  15,  14,   1, 111396752, 105436024, 111484424, 111249928, 104804488
   981,  16,  16384,  46833,  14,  20,   3, 111071256, 110692528, 109734152, 109625648, 115730360
   982,  16,  16384,  49189,  20,  20,   0, 115704528, 115530904, 109653616, 114601184, 115431064
   983,  16,  16384,  48454,  20,  21,   1, 115634712, 115358256, 112571000, 115617856, 115943496
   984,  16,  16384,   6853,  21,  20,   1, 116276304, 115766856, 115898848, 113410424, 114216496
   985,  16,  16384,   2369,  20,   3,   3, 115564328, 115239840, 115265904, 115354784, 104075152
   986,  16,  16384,  29119,   3,   2,   1, 110135912, 111239904, 111018632, 110178752, 109773656
   987,  16,  16384,  35423,   2,   1,   2, 110813608, 110695168, 110188552, 110217312, 114087136
   988,  16,  16384,  48639,   1,   1,   0, 114142584, 113861288, 113969528, 113919720, 113935576
   989,  16,  16384,  15898,   1,  16,   3, 113573416, 111042152, 113946512, 113684848, 109482624
   990,  16,  16384,  48065,  16,  17,   1, 115611952, 112828232, 115558168, 115583888, 116347200
   991,  16,  16384,  42361,  17,  16,   1, 116008440, 115857768, 113200840, 114348888, 115670320
   992,  16,  16384,  12416,  16,  17,   1, 115774784, 109400752, 112649256, 115439728, 116010248
   993,  16,  16384,  38071,  17,   6,   3, 116142688, 115881632, 115748616, 114556448, 110170400
   994,  16,  16384,  10273,   6,  18,   3, 110083936, 104182576, 109239976, 109933944, 112715720
   995,  16,  16384,  44632,  18,  18,   0, 112438848, 112433120, 111031760, 112200464, 106980632
   996,  16,  16384,   4622,  18,  23,   2, 111207352, 112377216, 112143592, 111166104, 113351104
   997,  16,  16384,  18193,  23,   9,   3, 107574656, 113266344, 111703648, 111636648, 114085808
   998,  16,  16384,  37920,   9,   8,   1, 114405712, 114211848, 108075080, 114026240, 113725736
   999,  16,  16384,   4472,   8,   9,   1, 113471992, 111376504, 113655856, 113636488, 113986328
  1000,  16,  16384,  40724,   9,   9,   0, 114174376, 114075776, 113887336, 113779056, 110211800
  1001,  16,  16384,  12744,   9,   9,   0, 112891008, 111908440, 113210616, 114152680, 114240728
  1002,  16,  16384,  48701,   9,   4,   3, 114105552, 114165760, 114035208, 114026696, 112809568
  1003,  16,  16384,   2464,   4,   5,   1, 113519144, 113811376, 113843792, 113658872, 114229120
  1004,  16,  16384,  41288,   5,   5,   0, 112745712, 114122288, 113971376, 114122152, 113877648
  1005,  16,  16384,  49492,   5,   1,   2, 114130768, 113850064, 114143392, 112886968, 112657712
  1006,  16,  16384,   8475,   1,  22,   3, 112966880, 114213424, 112885472, 113756800, 113109352
  1007,  16,  16384,   7028,  22,  22,   0, 111369016, 112418152, 112491680, 112333288, 108656064
  1008,  16,  16384,  17308,  22,   3,   3, 108344472, 112570280, 112044840, 112356136, 111867864
  1009,  16,  16384,  39242,   3,  14,   3, 111501032, 111486640, 110255760, 111462096, 111039112
  1010,  16,  16384,  15647,  14,  17,   2, 110801216, 109380976, 109671784, 110711336, 111666592
  1011,  16,  16384,  24355,  17,  16,   1, 114911320, 114232240, 115846792, 115892400, 112900320
  1012,  16,  16384,   3848,  16,   5,   3, 115747304, 115623680, 115558216, 115307272, 113881752
  1013,  16,  16384,   5130,   5,   3,   2, 114314296, 112520928, 113053008, 113834192, 111602128
  1014,  16,  16384,  24946,   3,   3,   0, 110534840, 111359200, 111213960, 105375816, 111535280
  1015,  16,  16384,  45798,   3,   5,   2, 111309416, 111212424, 109035992, 110408272, 114297720
  1016,  16,  16384,  27698,   5,   2,   2, 108208120, 114006440, 112866216, 114020264, 110845400
  1017,  16,  16384,    451,   2,   2,   0, 111165872, 109605472, 110851896, 110813272, 109638984
  1018,  16,  16384,     59,   2,   3,   1, 105009168, 110081168, 110480256, 109501800, 110104416
  1019,  16,  16384,  10345,   3,   2,   1, 111492976, 110431944, 106157696, 111280448, 109617272
  1020,  16,  16384,  21774,   2,   4,   2, 110953368, 109609576, 110864160, 104664952, 113765392
  1021,  16,  16384,  38511,   4,   5,   1, 113586192, 113638384, 112696256, 113834496, 113954752
  1022,  16,  16384,   9651,   5,   0,   2, 112721328, 113838360, 113829920, 114152304, 112595392
  1023,  16,  16384,  16349,   0,   8,   3, 112573536, 113427656, 113646664, 112355224, 113477616
  1024,  16,  16384,  45702,   8,   9,   1, 113714800, 113598944, 113245944, 113591528, 114000440
  1025,  16,  16384,  48671,   9,   9,   0, 114266616, 113093904, 113223232, 114185176, 114242808
  1026,  16,  16384,   5634,   9,  21,   3, 113140688, 114158272, 114089864, 112394272, 114658048
  1027,  16,  16384,   9879,  21,  18,   2, 115955880, 115896576, 115895584, 115949056, 112517960
  1028,  16,  16384,  13922,  18,  19,   1, 112479784, 112454000, 112505648, 112404784, 111961840
  1029,  16,  16384,  18722,  19,  18,   1, 112398688, 113069128, 113189480, 113092752, 110693144
  1030,  16,  16384,   7352,  18,  17,   3, 107636104, 112218448, 112512024, 112385112, 116242368
  1031,  16,  16384,  36653,  17,  15,   2, 110489376, 115558168, 114393712, 113301888, 111246952
  1032,  16,  16384,  11517,  15,  15,   0, 111706032, 111497352, 111318808, 108881456, 110416760
  1033,  16,  16384,  41443,  15,  17,   2, 111775488, 111546288, 111562152, 111311392, 114864536
  1034,  16,  16384,  30264,  17,   6,   3, 116221384, 115915208, 115980696, 114402928, 110232080
  1035,  16,  16384,  14578,   6,   7,   1, 109962000, 108946104, 109950928, 109857936, 111195496
  1036,  16,  16384,  32975,   7,   7,   0, 110525744, 111460744, 111309976, 111449240, 111601392
  1037,  16,  16384,  23948,   7,   9,   2, 111596696, 105275488, 110065192, 108819672, 114049384
  1038,  16,  16384,  23410,   9,   9,   0, 113814408, 111724176, 108386424, 114259880, 114378352
  1039,  16,  16384,  27339,   9,   9,   0, 114138880, 113188096, 114373640, 114122368, 113272328
  1040,  16,  16384,  15269,   9,   7,   2, 114400872, 114193632, 114294248, 112982000, 111293320
  1041,  16,  16384,   1043,   7,   6,   1, 111625312, 111359800, 111179680, 111281576, 110185304
  1042,  16,  16384,  37381,   6,   9,   2, 110198496, 108921392, 110014160, 108848280, 112796896
  1043,  16,  16384,  11327,   9,   9,   0, 114189240, 112974256, 108012440, 114216272, 114136272
  1044,  16,  16384,  25315,   9,   8,   1, 113087896, 113882232, 113733328, 113883232, 113358376
  1045,  16,  16384,  40330,   8,   9,   1, 113866776, 112570936, 113635712, 112642584, 108068552
  1046,  16,  16384,   5966,   9,   8,   1, 114032912, 112849104, 114339952, 114112040, 113646528
  1047,  16,  16384,   8325,   8,   9,   1, 113786960, 113309024, 113601352, 112705712, 114410552
  1048,  16,  16384,  21833,   9,  23,   3, 113106728, 114358464, 107928256, 112917608, 106315104
  1049,  16,  16384,  38139,  23,   5,   3, 113495120, 113280864, 113152592, 112863744, 114203480
  1050,  16,  16384,   9744,   5,   4,   1, 113993760, 114053280, 112740616, 113593504, 114068168
  1051,  16,  16384,  18146,   4,   4,   0, 112702712, 113569624, 113438648, 113796376, 113750056
  1052,  16,  16384,  27335,   4,   8,   3, 113765272, 113733120, 113880224, 113639736, 112509896
  1053,  16,  16384,  18966,   8,   8,   0, 113841192, 111575696, 113503912, 107313240, 113877584
  1054,  16,  16384,   1842,   8,   7,   2, 112957024, 113832968, 113664800, 113639368, 111614776
  1055,  16,  16384,  13524,   7,  18,   3, 111436552, 105126072, 111128560, 110252112, 110530680
  1056,  16,  16384,   3503,  18,  12,   3, 111913544, 112493496, 112436880, 111363400, 113866448
  1057,  16,  16384,  41821,  12,  10,   3, 113703656, 111305344, 109626336, 113432352, 110926072
  1058,  16,  16384,   2250,  10,  10,   0, 110887480, 102305064, 110617128, 110855552, 110851936
  1059,  16,  16384,  36612,  10,  23,   3, 109908496, 109660040, 110652744, 110604832, 112182656
  1060,  16,  16384,  26858,  23,  10,   3, 113273800, 111763504, 113236496, 113025144, 110770880
  1061,  16,  16384,  35687,  10,  10,   0, 111017552, 110219824, 110462256, 109734576, 111012104
  1062,  16,  16384,  33866,  10,  11,   1, 111083024, 111069224, 109834848, 110737112, 111813528
  1063,  16,  16384,  44073,  11,  17,   3, 109458688, 111585776, 111502480, 111716256, 115949424
  1064,  16,  16384,  22961,  17,  16,   1, 116138552, 114425840, 114308864, 108971744, 115515928
  1065,  16,  16384,   1868,  16,  12,   2, 109830992, 115431456, 115254344, 113835416, 113870504
  1066,  16,  16384,  30314,  12,  15,   2, 114059576, 113476600, 107497728, 113814056, 111623968
  1067,  16,  16384,  32570,  15,   8,   3, 110755608, 111443488, 111582576, 109459040, 113803800
  1068,  16,  16384,  17122,   8,   3,   3, 111495184, 113633624, 113393392, 113656584, 111635624
  1069,  16,  16384,  27989,   3,   2,   1, 111772800, 111270208, 110184744, 111357784, 110802880
  1070,  16,  16384,  35375,   2,   2,   0, 110802472, 110604240, 110556008, 109291504, 110903752
  1071,  16,  16384,  22731,   2,   2,   0, 110823744, 110556200, 109696600, 109734584, 110778256
  1072,  16,  16384,  49082,   2,   1,   2, 103765648, 110886024, 110616024, 110790720, 114152552
  1073,  16,  16384,  31275,   1,   0,   1, 114206344, 108006608, 112836056, 114142936, 113080368
  1074,  16,  16384,  40921,   0,  19,   3, 112587800, 113751896, 113591848, 112141232, 113457688
  1075,  16,  16384,  49081,  19,  23,   2, 113480184, 111991144, 113294696, 113031920, 113368584
  1076,  16,  16384,  10081,  23,  22,   1, 112083288, 111782592, 113253648, 112135336, 112543112
  1077,  16,  16384,  39171,  22,  18,   2, 112447952, 111328488, 106522168, 112615112, 111307448
  1078,  16,  16384,  38906,  18,  19,   1, 112665808, 112388088, 112623272, 111219168, 112128448
  1079,  16,  16384,  32892,  19,  19,   0, 113150224, 112938904, 107578152, 113129968, 113240912
  1080,  16,  16384,  32321,  19,  19,   0, 113563392, 113114720, 112564512, 112678464, 113636592
  1081,  16,  16384,  33854,  19,  21,   2, 113869288, 112081576, 113340976, 112982192, 114756584
  1082,  16,  16384,  31576,  21,  19,   2, 115990728, 114659352, 115937672, 115996560, 112007624
  1083,  16,  16384,  24614,  19,  23,   2, 113409272, 113027304, 111817928, 113164640, 113329232
  1084,  16,  16384,  27301,  23,   1,   3, 113379968, 111571312, 113435720, 113273864, 114053296
  1085,  16,  16384,   9620,   1,   1,   0, 114008608, 112704024, 112936112, 113764568, 113983632
  1086,  16,  16384,  37496,   1,  10,   3, 112973080, 114245752, 113854512, 110748408, 111271528
  1087,  16,  16384,  15553,  10,   8,   2, 109856704, 104992056, 109795432, 110845464, 112477432
  1088,  16,  16384,  29741,   8,   7,   2, 112526552, 112748976, 112664528, 113758280, 111554040
  1089,  16,  16384,   2028,   7,   6,   1, 111487032, 111394816, 106982376, 109602008, 110358848
  1090,  16,  16384,  16724,   6,  14,   3, 110137824, 109806672, 108977224, 110070904, 109649192
  1091,  16,  16384,  18567,  14,  14,   0, 111138448, 110938880, 110898952, 111072696, 111068600
  1092,  16,  16384,  24129,  14,  10,   3, 109868400, 104814944, 110914632, 110629392, 110962040
  1093,  16,  16384,   9879,  10,   7,   2, 108919800, 110846984, 110012288, 110812576, 111578464
  1094,  16,  16384,  17269,   7,   6,   1, 111731904, 105793968, 111843072, 110078024, 110287448
  1095,  16,  16384,  13308,   6,   7,   1, 110217440, 109967320, 109743712, 107784008, 110299816
  1096,  16,  16384,  24119,   7,  18,   3, 111912008, 111703448, 111611456, 111505712, 112525064
  1097,  16,  16384,  23652,  18,  18,   0, 112780968, 112249168, 112140768, 112263408, 112579296
  1098,  16,  16384,   2720,  18,  11,   3, 104707360, 112374816, 111134592, 110892240, 111554968
  1099,  16,  16384,    896,  11,  22,   3, 110621032, 111455304, 110061312, 110478480, 112624536
  1100,  16,  16384,  45284,  22,  22,   0, 112599880, 112486720, 111026384, 112490320, 111500432
  1101,  16,  16384,   3941,  22,  23,   1, 111466512, 111085328, 106703008, 112232808, 113438224
  1102,  16,  16384,  10610,  23,  22,   1, 112302416, 113444848, 113400896, 107589520, 111288416
  1103,  16,  16384,  48947,  22,  22,   0, 112677312, 111194120, 111240872, 111557048, 106681880
  1104,  16,  16384,  41693,  22,  23,   1, 112501432, 112584360, 112653936, 112429928, 110310800
  1105,  16,  16384,   1124,  23,  23,   0, 113236264, 113122464, 113195624, 113386400, 112246024
  1106,  16,  16384,  46590,  23,  23,   0, 112045816, 112002656, 113222768, 113449864, 113449496
  1107,  16,  16384,   2288,  23,  10,   3, 113497736, 113077416, 107471488, 113127120, 105128272
  1108,  16,  16384,  43982,  10,  11,   1, 109410384, 109902960, 110989528, 109639928, 111480040
  1109,  16,  16384,  32139,  11,  11,   0, 105829096, 111325320, 111320416, 111512728, 110234944
  1110,  16,  16384,   8991,  11,  11,   0, 111033856, 111195736, 110679488, 111546464, 111090600
  1111,  16,  16384,   1884,  11,  19,   3, 110962160, 111545304, 111430376, 105499264, 113533968
  1112,  16,  16384,   1330,  19,  18,   1, 113299424, 113550720, 113250336, 113263128, 111307192
  1113,  16,  16384,  45492,  18,  21,   2, 112703048, 112428888, 112168704, 106839560, 116079128
  1114,  16,  16384,   5805,  21,  21,   0, 114795424, 115622800, 113380896, 116012480, 115736608
  1115,  16,  16384,  39473,  21,  19,   2, 116179064, 115708168, 115497504, 114715472, 113397320
  1116,  16,  16384,   1549,  19,  23,   2, 113464232, 112073032, 113219520, 113242664, 113311064
  1117,  16,  16384,  20988,  23,  13,   3, 113195168, 113197216, 113262920, 111839504, 107984072
  1118,  16,  16384,  23889,  13,  16,   2, 114141576, 113967144, 113819232, 112030680, 115405400
  1119,  16,  16384,  27534,  16,  16,   0, 114809864, 114771288, 115032600, 115419368, 115659848
  1120,  16,  16384,  43972,  16,  15,   2, 115367456, 112714992, 115575960, 114259392, 111507416
  1121,  16,  16384,  41158,  15,   8,   3, 111766480, 110580600, 111191760, 111532344, 113531168
  1122,  16,  16384,  34356,   8,  11,   2, 114046336, 113424424, 112522272, 113677760, 110685648
  1123,  16,  16384,  23828,  11,  10,   1, 111638784, 111505864, 110162976, 111062144, 110702608
  1124,  16,  16384,  12924,  10,  10,   0, 110955384, 110939104, 111011600, 109814264, 111176648
  1125,  16,  16384,  21109,  10,  16,   3, 111183928, 110281456, 110474992, 110868624, 115397072
  1126,  16,  16384,  28608,  16,   8,   3, 114165656, 115338968, 115409632, 115413224, 113482208
  1127,  16,  16384,  35100,   8,  23,   3, 112776840, 113812016, 112582816, 113538928, 113477760
  1128,  16,  16384,  26256,  23,  21,   2, 107819944, 113071176, 110744064, 113258712, 114827872
  1129,  16,  16384,  17441,  21,  21,   0, 114742944, 115934216, 116075232, 115681528, 115995800
  1130,  16,  16384,  17520,  21,  10,   3, 110017728, 114963904, 115463256, 115561424, 110769592
  1131,  16,  16384,  32362,  10,  11,   1, 110831528, 110863392, 110724176, 109819608, 111608320
  1132,  16,  16384,  21856,  11,  11,   0, 111309088, 111397424, 111660880, 111417736, 110634864
  1133,  16,  16384,  33409,  11,  21,   3, 104079368, 111317912, 109978032, 111680808, 116190872
  1134,  16,  16384,   5622,  21,  20,   1, 116191576, 114714184, 116449536, 114805704, 115692080
  1135,  16,  16384,  43631,  20,  13,   3, 115215704, 113979192, 115422576, 108064464, 114315176
  1136,  16,  16384,  17750,  13,  12,   1, 107995184, 113785072, 114374392, 113097096, 113950128
  1137,  16,  16384,  43786,  12,  12,   0, 114136608, 113711376, 113485264, 113541632, 106830552
  1138,  16,  16384,  49132,  12,   5,   3, 113608928, 111614536, 113662832, 113752424, 114237080
  1139,  16,  16384,  24927,   5,   4,   1, 108038288, 114120904, 113843936, 111665248, 113933280
  1140,  16,  16384,   3469,   4,  10,   3, 113775000, 111644624, 113534400, 106162280, 110879928
  1141,  16,  16384,  28397,  10,  10,   0, 109859792, 104678344, 109579464, 109578104, 110987560
  1142,  16,  16384,  42786,  10,  10,   0, 110935944, 110880120, 110945296, 110639272, 111187112
  1143,  16,  16384,  25485,  10,   7,   2, 111002448, 111139192, 109676624, 110577464, 108536120
  1144,  16,  16384,  26730,   7,  11,   2, 109021904, 110413792, 111379768, 111376584, 111379336
  1145,  16,  16384,  30828,  11,   8,   2, 110306880, 111911840, 111453200, 111481544, 107675336
  1146,  16,  16384,  31004,   8,   8,   0, 113848032, 113727512, 113533152, 112558704, 113697848
  1147,  16,  16384,   3972,   8,   9,   1, 113858392, 113627872, 111794552, 112422104, 107986568
  1148,  16,  16384,   4792,   9,   8,   1, 113124408, 114127208, 113906936, 112836400, 114048704
  1149,  16,  16384,   1634,   8,   8,   0, 112501752, 113399064, 113257736, 113855880, 113836368
  1150,  16,  16384,  47831,   8,   7,   2, 111517776, 112413160, 113491288, 113634696, 110228496
  1151,  16,  16384,  29488,   7,  19,   3, 110582864, 111567640, 110041632, 111426720, 113280624
  1152,  16,  16384,   4138,  19,  20,   2, 113422704, 112959088, 113249664, 113105584, 115180920
  1153,  16,  16384,  48950,  20,  10,   3, 114014136, 115600696, 114065216, 115607864, 111067880
  1154,  16,  16384,  16332,  10,  16,   3, 109884256, 111035248, 110651712, 110935840, 115345792
  1155,  16,  16384,  18752,  16,   4,   3, 115336064, 114252448, 115353000, 114186128, 112821512
  1156,  16,  16384,  11574,   4,   4,   0, 114180728, 113867080, 113588240, 113835560, 114003736
  1157,  16,  16384,  39828,   4,   4,   0, 109622928, 111927952, 113626752, 113632096, 114000240
  1158,  16,  16384,   1851,   4,  15,   3, 111741024, 113676328, 112638352, 113717472, 110631536
  1159,  16,  16384,  28627,  15,  14,   1, 111679272, 111691104, 110049040, 104360688, 109908784
  1160,  16,  16384,   5919,  14,  16,   2, 111096728, 110822832, 110927168, 104707832, 110052504
  1161,  16,  16384,  21993,  16,  15,   2, 115799032, 114203800, 115463288, 115584872, 105057248
  1162,  16,  16384,  19748,  15,  15,   0, 111551824, 111250840, 111508312, 111426528, 111381648
  1163,  16,  16384,  39679,  15,  14,   1, 111780160, 110288944, 111542440, 111602728, 110961192
  1164,  16,  16384,  30483,  14,  13,   2, 108638712, 110783928, 109884744, 110573848, 114208904
  1165,  16,  16384,  31920,  13,  13,   0, 114243168, 112656800, 112774472, 114019440, 114130840
  1166,  16,  16384,  44421,  13,  12,   1, 113894488, 113311952, 114209024, 106917616, 107679472
  1167,  16,  16384,  45621,  12,  13,   1, 114238832, 113474640, 113455776, 113593744, 114424496
  1168,  16,  16384,   6689,  13,  16,   2, 114283328, 112963288, 114189368, 113832736, 115559728
  1169,  16,  16384,   1837,  16,  16,   0, 115438144, 114186040, 115619304, 115124008, 115413608
  1170,  16,  16384,   8198,  16,  16,   0, 115583896, 115212664, 106907776, 115255008, 115456776
  1171,  16,  16384,   7824,  16,  16,   0, 115673280, 114075312, 115188720, 115320984, 114548696
  1172,  16,  16384,    258,  16,  15,   2, 115439592, 115280304, 115653104, 115420856, 109818784
  1173,  16,  16384,  39522,  15,   6,   3, 110489360, 105793208, 111375568, 111228024, 108940184
  1174,  16,  16384,  10968,   6,   6,   0, 110470880, 110296408, 108745224, 109963344, 109062216
  1175,  16,  16384,  39095,   6,   7,   1, 110196536, 109641440, 108756096, 109992656, 111320752
  1176,  16,  16384,  48177,   7,   7,   0, 111566856, 111522616, 111207568, 111629208, 109072880
  1177,  16,  16384,   1446,   7,  11,   2, 111531752, 111604688, 110188128, 108344200, 111265792
  1178,  16,  16384,  22782,  11,   6,   2, 111539024, 111582920, 111571664, 111436408, 110031312
  1179,  16,  16384,  36890,   6,   9,   2, 109099848, 110118600, 109420840, 109352976, 114073832
  1180,  16,  16384,   3221,   9,   9,   0, 114148096, 109952336, 110932960, 114069736, 114033784
  1181,  16,  16384,   4767,   9,   8,   1, 113900368, 113984216, 114008808, 113898496, 114004208
  1182,  16,  16384,  42541,   8,  10,   2, 113816024, 106648504, 113556864, 112687104, 110464344
  1183,  16,  16384,  36231,  10,  10,   0, 110489040, 110817400, 111040808, 104722904, 110868872
  1184,  16,  16384,  33588,  10,  11,   1, 110558192, 109928600, 110644392, 109612840, 111721240
  1185,  16,  16384,  39291,  11,   6,   2, 111629536, 111725680, 111663000, 111758496, 109147560
  1186,  16,  16384,  19797,   6,   7,   1, 110149448, 110014144, 108818512, 110046024, 110135288
  1187,  16,  16384,   3384,   7,  15,   3, 111558256, 111563288, 111207192, 111188712, 111513800
  1188,  16,  16384,  17969,  15,   6,   3, 111701920, 111562008, 111437168, 111384032, 108755736
  1189,  16,  16384,  17989,   6,   4,   3, 110368104, 110187816, 107665408, 110172896, 113950160
  1190,  16,  16384,  33531,   4,   4,   0, 113847856, 113743400, 113946672, 113819672, 112684760
  1191,  16,  16384,  41279,   4,  10,   3, 112731584, 113426688, 112699384, 113815296, 110811952
  1192,  16,  16384,   4717,  10,  11,   1, 111164496, 110715336, 109890504, 110783816, 111899152
  1193,  16,  16384,  34541,  11,   8,   2, 111618024, 111588496, 109875952, 109800584, 113355912
  1194,  16,  16384,   9739,   8,  10,   2, 113831680, 112513880, 112520912, 113530672, 111132040
  1195,  16,  16384,  23008,  10,  22,   3, 104815856, 110573872, 110844208, 109608320, 112920816
  1196,  16,  16384,  18251,  22,  20,   2, 112586032, 112523824, 112279160, 106374584, 114146048
  1197,  16,  16384,  38566,  20,  21,   1, 115676416, 115593128, 115537056, 115075240, 114900032
  1198,  16,  16384,  10517,  21,  20,   1, 107839632, 114861520, 115626696, 115798696, 114265320
  1199,  16,  16384,  46254,  20,  21,   1, 114454672, 115433920, 115246496, 115330080, 115838856
  1200,  16,  16384,  32970,  21,  17,   3, 114795824, 115832144, 114520584, 108588648, 115215696
  1201,  16,  16384,   8355,  17,  12,   2, 115889392, 115941944, 115982656, 115654320, 113886984
  1202,  16,  16384,  40402,  12,  15,   2, 113975496, 113953112, 112569736, 113743352, 104367512
  1203,  16,  16384,  22579,  15,  13,   2, 111739968, 111451256, 111378176, 111343504, 114173536
  1204,  16,  16384,  42645,  13,  17,   2, 114229032, 113928272, 114135496, 112970184, 115870496
  1205,  16,  16384,   6055,  17,  16,   1, 113418240, 116171800, 115863728, 115762776, 113726080
  1206,  16,  16384,  31050,  16,  17,   1, 116103720, 115514576, 115441832, 115582464, 114819192
  1207,  16,  16384,  12012,  17,  23,   3, 116207072, 110153896, 113369328, 115710584, 113159176
  1208,  16,  16384,  48447,  23,  11,   3, 112053488, 113133856, 113202896, 113076472, 111286536
  1209,  16,  16384,   4713,  11,  10,   1, 111555072, 111511688, 111530984, 111443440, 109898016
  1210,  16,  16384,  40427,  10,  10,   0, 109576384, 110735704, 106010728, 108167272, 109950288
  1211,  16,  16384,  19911,  10,  11,   1, 110864160, 110857760, 110724504, 110988376, 111218560
  1212,  16,  16384,   1604,  11,  11,   0, 111939336, 110416920, 111521408, 110360224, 105681624
  1213,  16,  16384,  22956,  11,  10,   1, 111639520, 111376304, 110006384, 110790080, 110984704
  1214,  16,  16384,  32376,  10,  11,   1, 111360608, 110952488, 110714528, 110052928, 111669584
  1215,  16,  16384,  24391,  11,  10,   1, 110356160, 105684056, 111230208, 111309312, 110680184
  1216,  16,  16384,  21867,  10,  11,   1, 111311200, 111025280, 110893960, 111129184, 111714928
  1217,  16,  16384,  49395,  11,  16,   3, 110706928, 111135664, 110328256, 111555392, 115680872
  1218,  16,  16384,   1107,  16,   5,   3, 115583072, 114230152, 115736864, 115830928, 113030104
  1219,  16,  16384,  33950,   5,   3,   2, 113991856, 113884144, 113988152, 112829408, 110517848
  1220,  16,  16384,  36431,   3,  12,   3, 111551072, 105178016, 111311808, 111475856, 113925456
  1221,  16,  16384,  38244,  12,  18,   3, 114114296, 113746496, 113530856, 107545944, 111257536
  1222,  16,  16384,  26932,  18,  18,   0, 112741120, 111025136, 112514568, 112376632, 112806368
  1223,  16,  16384,   7187,  18,  21,   2, 112667552, 111132728, 112354936, 112530776, 115925760
  1224,  16,  16384,  42285,  21,  23,   2, 114717952, 110013912, 115707232, 114520392, 113525824
  1225,  16,  16384,  27520,  23,  23,   0, 113367088, 112228256, 111450312, 113214992, 113317208
  1226,  16,  16384,  44350,  23,  22,   1, 113373360, 113058304, 107277904, 111801480, 112751624
  1227,  16,  16384,  39920,  22,  21,   2, 112911952, 112161496, 112507424, 105104984, 116074560
  1228,  16,  16384,  40459,  21,  21,   0, 116173864, 115944344, 114454232, 115576600, 110101320
  1229,  16,  16384,  23645,  21,  19,   2, 114438936, 114428704, 115786112, 115897072, 113684960
  1230,  16,  16384,  29163,  19,  19,   0, 113441112, 113196456, 107456792, 113246864, 112177440
  1231,  16,  16384,  35192,  19,  20,   2, 112025696, 113314816, 113225800, 113299632, 111653328
  1232,  16,  16384,  47698,  20,  19,   2, 113450432, 115560616, 113576808, 113969232, 113213480
  1233,  16,  16384,   6106,  19,  18,   1, 112133800, 111881384, 113196976, 113410024, 112562928
  1234,  16,  16384,   3668,  18,  19,   1, 111081088, 112376032, 112339528, 112144568, 113321968
  1235,  16,  16384,  30140,  19,  23,   2, 113017808, 110052888, 109103520, 112488840, 113545488
  1236,  16,  16384,  33361,  23,   5,   3, 113235960, 113197432, 113123512, 110551368, 114228568
  1237,  16,  16384,  17194,   5,   6,   3, 114049568, 113782824, 114006392, 112643840, 110352752
  1238,  16,  16384,   9337,   6,   7,   1, 110205200, 109882936, 108735200, 108851632, 104399640
  1239,  16,  16384,  25003,   7,   7,   0, 110258152, 111389200, 111007400, 111167296, 111571592
  1240,  16,  16384,   1332,   7,   6,   1, 111219192, 110841864, 111570120, 111388536, 107578032
  1241,  16,  16384,  29868,   6,   6,   0, 109939224, 110166400, 110256608, 110088760, 109251248
  1242,  16,  16384,    346,   6,   7,   1, 109970008, 108564336, 107944592, 106000528, 111288832
  1243,  16,  16384,  29708,   7,   6,   1, 111690944, 111402088, 111092048, 110265536, 110361000
  1244,  16,  16384,  33960,   6,   9,   2, 110051304, 110185128, 108819824, 110028800, 113703792
  1245,  16,  16384,  26408,   9,   9,   0, 106877944, 112915672, 112911736, 113971520, 114318880
  1246,  16,  16384,  24807,   9,   9,   0, 114367688, 114284008, 114040168, 114149568, 114201616
  1247,  16,  16384,  17581,   9,  23,   3, 114303712, 112932528, 112926280, 111683792, 113305592
  1248,  16,  16384,  47978,  23,  22,   1, 113370008, 110872400, 113353152, 113348848, 112727944
  1249,  16,  16384,  43335,  22,  23,   1, 110146304, 109124560, 111098008, 112384272, 113435144
  1250,  16,  16384,  30930,  23,  14,   3, 113258200, 111830144, 112041656, 113250072, 109742120
  1251,  16,  16384,  26478,  14,  14,   0, 111050744, 110537416, 109707488, 110145432, 110772816
  1252,  16,  16384,   2765,  14,  17,   2, 111110640, 106042536, 109995632, 109732072, 115999456
  1253,  16,  16384,  20635,  17,  16,   1, 115881840, 114580944, 115827352, 115703032, 114640712
  1254,  16,  16384,   1563,  16,  16,   0, 115613288, 115479920, 115493784, 114158664, 110200744
  1255,  16,  16384,  15599,  16,  14,   2, 115563928, 113898720, 114110552, 115442624, 110975664
  1256,  16,  16384,  33985,  14,  17,   2, 110937880, 109864200, 110126728, 111140104, 115844328
  1257,  16,  16384,  47874,  17,  17,   0, 115847776, 115780320, 115637360, 115849640, 116251320
  1258,  16,  16384,  49657,  17,  18,   3, 116189608, 115808528, 115597824, 115559528, 112760712
  1259,  16,  16384,   9144,  18,  18,   0, 111538168, 111013560, 112692656, 112190448, 112513968
  1260,  16,  16384,  31050,  18,  19,   1, 112507288, 105299736, 112349648, 112163472, 113291528
  1261,  16,  16384,  12240,  19,   1,   3, 107549632, 111899128, 111727304, 112961616, 114022728
  1262,  16,  16384,  30606,   1,   1,   0, 112701440, 112635584, 113953744, 114092112, 114039232
  1263,  16,  16384,  23951,   1,   0,   1, 114148664, 114008800, 107865728, 112576120, 111523728
  1264,  16,  16384,  49303,   0,   0,   0, 112461808, 113924368, 113595632, 113567808, 113932328
  1265,  16,  16384,  31086,   0,   1,   1, 113667800, 112446664, 113466424, 113433240, 114077504
  1266,  16,  16384,   8979,   1,   1,   0, 113071232, 114038312, 114042000, 114140408, 112910424
  1267,  16,  16384,  26864,   1,   5,   2, 114275696, 114109280, 113934712, 114341896, 113689048
  1268,  16,  16384,  39102,   5,   2,   2, 114124144, 112895824, 113893080, 112736336, 109545104
  1269,  16,  16384,  42003,   2,  17,   3, 109820504, 109425688, 110847808, 110585784, 116255528
  1270,  16,  16384,  11494,  17,  16,   1, 116147720, 115642840, 114648168, 115780800, 114903928
  1271,  16,  16384,  36361,  16,  16,   0, 115581496, 115496024, 115366776, 115429872, 114304024
  1272,  16,  16384,  47976,  16,  15,   2, 115494912, 115465104, 115390984, 115284280, 111451168
  1273,  16,  16384,  29903,  15,  14,   1, 111821888, 111469872, 110424264, 111368760, 110988336
  1274,  16,  16384,   5077,  14,  15,   1, 110729064, 104849424, 110701280, 109956256, 111370136
  1275,  16,  16384,  27250,  15,  15,   0, 111328472, 111399800, 111210496, 111427040, 111618240
  1276,  16,  16384,  10014,  15,  14,   1, 111438168, 111160960, 111791496, 109244240, 110694312
  1277,  16,  16384,  15092,  14,   5,   3, 109824912, 109821760, 110552592, 110865296, 112963216
  1278,  16,  16384,  39969,   5,  15,   3, 114318864, 106916392, 113949976, 114067736, 112021728
  1279,  16,  16384,  46139,  15,  14,   1, 110597664, 107348976, 106636448, 111072000, 111008920
  1280,  16,  16384,   1732,  14,  13,   2, 111034816, 110926880, 109795160, 109613824, 114149080
  1281,  16,  16384,   1724,  13,  15,   2, 113184112, 114047872, 114166456, 114069000, 111674784
  1282,  16,  16384,  20559,  15,   4,   3, 111644104, 111407904, 111645192, 110397624, 113545600
  1283,  16,  16384,   6839,   4,   5,   1, 113940280, 112685432, 113646280, 113553312, 114316920
  1284,  16,  16384,  44248,   5,   4,   1, 114091320, 112646728, 114030080, 113942608, 113728096
  1285,  16,  16384,  33221,   4,   0,   2, 112776696, 113668344, 113642920, 112738632, 113823640
  1286,  16,  16384,  28207,   0,   1,   1, 107754440, 113547448, 113499776, 112355744, 114068192
  1287,  16,  16384,  40532,   1,  13,   3, 114289136, 112880376, 111693728, 113681176, 114013672
  1288,  16,  16384,   5766,  13,  13,   0, 114268560, 113018728, 114148328, 114406712, 111752336
  1289,  16,  16384,   7781,  13,  12,   1, 114323712, 114176096, 114283392, 114164336, 112913064
  1290,  16,  16384,  37817,  12,  12,   0, 113686144, 113707080, 113642280, 113524392, 113440544
  1291,  16,  16384,  49164,  12,  13,   1, 113949072, 112570896, 111653024, 109455304, 114300080
  1292,  16,  16384,  35942,  13,  12,   1, 112917792, 107940760, 114107704, 114206952, 112908272
  1293,  16,  16384,  33218,  12,  23,   3, 113840888, 113546160, 112257096, 113535496, 113375192
  1294,  16,  16384,  18986,  23,  22,   1, 112480424, 113394336, 113045560, 113142312, 112496904
  1295,  16,  16384,  33543,  22,  10,   3, 112730272, 111238896, 111471352, 112158576, 110922472
  1296,  16,  16384,  48767,  10,  11,   1, 109736864, 110848760, 110802600, 110856008, 111614304
  1297,  16,  16384,  45833,  11,   6,   2, 111830336, 110561616, 111483272, 108818344, 110187520
  1298,  16,  16384,  17081,   6,   6,   0, 110268344, 109641376, 109296336, 109828808, 109780008
  1299,  16,  16384,  12070,   6,   4,   3, 109871680, 109822560, 108806608, 109437904, 113756544
  1300,  16,  16384,  22425,   4,   5,   1, 114080696, 113640616, 111733160, 113850680, 113947288
  1301,  16,  16384,  37266,   5,   1,   2, 112918360, 111769184, 114178696, 113969376, 114096320
  1302,  16,  16384,  21963,   1,  11,   3, 114120472, 114207944, 113940224, 113793728, 109253984
  1303,  16,  16384,  32463,  11,   9,   2, 111629584, 111389112, 111367976, 111123536, 113939240
  1304,  16,  16384,  46180,   9,   6,   2, 114211664, 114099392, 113870848, 114263368, 110118496
  1305,  16,  16384,  24111,   6,  12,   3, 109613872, 109771808, 110077648, 109989424, 113733688
  1306,  16,  16384,  35647,  12,  13,   1, 113717360, 113654040, 113595352, 113318424, 114197264
  1307,  16,  16384,   4806,  13,  10,   3, 113061680, 113235968, 113461624, 112987760, 110932816
  1308,  16,  16384,   4992,  10,  18,   3, 111030632, 110718768, 109860808, 109528080, 112490056
  1309,  16,  16384,  35446,  18,  19,   1, 110134496, 112475416, 111054272, 112577720, 112696512
  1310,  16,  16384,  19795,  19,  19,   0, 113469808, 113491800, 113308592, 113369120, 112941984
  1311,  16,  16384,  37801,  19,  18,   1, 111214048, 113358472, 113215448, 113103192, 112525856
  1312,  16,  16384,  37975,  18,  19,   1, 112730840, 112596504, 112768808, 112548152, 113484840
  1313,  16,  16384,  34912,  19,  23,   2, 112919728, 112278704, 112467952, 113342656, 111937152
  1314,  16,  16384,  23780,  23,  19,   2, 113599576, 112955200, 112003568, 113056480, 112947472
  1315,  16,  16384,  35430,  19,  14,   3, 113553976, 113086672, 107826952, 110511416, 107777648
  1316,  16,  16384,   3587,  14,  13,   2, 107309072, 110573368, 110983248, 110759000, 114170352
  1317,  16,  16384,  18546,  13,  12,   1, 114198208, 114283576, 114195744, 113021912, 113839008
  1318,  16,  16384,  38729,  12,  13,   1, 113572200, 113713088, 112458416, 107789448, 113324464
  1319,  16,  16384,  30571,  13,   7,   3, 113926200, 113848360, 114011104, 114129904, 111516320
  1320,  16,  16384,  15860,   7,   6,   1, 109000952, 111541168, 111251936, 111194176, 108990328
  1321,  16,  16384,  20916,   6,  11,   2, 110019016, 110030328, 109688064, 109840304, 111482688
  1322,  16,  16384,  41791,  11,   9,   2, 111833072, 111494336, 111464208, 104222968, 114028440
  1323,  16,  16384,  47939,   9,  11,   2, 114102176, 112858248, 113947384, 113940320, 111661392
  1324,  16,  16384,  21741,  11,   6,   2, 111704256, 111277984, 111602056, 111499664, 102827352
  1325,  16,  16384,  45124,   6,  10,   2, 108961736, 109132584, 109349696, 109926208, 111008784
  1326,  16,  16384,  29311,  10,  11,   1, 111149360, 110799552, 110795400, 110978672, 111830872
  1327,  16,  16384,  48098,  11,  17,   3, 103036552, 111203456, 109080720, 111399176, 114595328
  1328,  16,  16384,  37422,  17,  14,   2, 116488848, 115748992, 115723168, 114340944, 111017568
  1329,  16,  16384,    596,  14,   6,   3, 109933096, 110841456, 109728464, 109940392, 109994864
  1330,  16,  16384,  25278,   6,   6,   0, 110259040, 109275624, 109300808, 110191280, 109460096
  1331,  16,  16384,  23537,   6,   1,   3, 110361792, 110128112, 110169488, 108859824, 113996040
  1332,  16,  16384,   2661,   1,   1,   0, 113758592, 107518096, 113759736, 112766192, 114145208
  1333,  16,  16384,  29035,   1,  10,   3, 113896336, 113793392, 112860896, 113934304, 110700504
  1334,  16,  16384,   8344,  10,  11,   1, 110048088, 109967432, 109977536, 109740112, 111744592
  1335,  16,  16384,    732,  11,  11,   0, 111888384, 110057280, 111489272, 111641112, 111622256
  1336,  16,  16384,   3553,  11,  11,   0, 111762008, 111521408, 103526272, 109814656, 111908448
  1337,  16,  16384,  40511,  11,  10,   1, 111888520, 111592496, 111542968, 111687216, 105047512
  1338,  16,  16384,  12134,  10,   7,   2, 110867584, 110885760, 110875888, 110674000, 104245264
  1339,  16,  16384,  43940,   7,   9,   2, 110057288, 111254728, 110970632, 111179632, 114371744
  1340,  16,  16384,  29538,   9,   8,   1, 114462864, 114067320, 111875776, 108926248, 113441184
  1341,  16,  16384,  36839,   8,  15,   3, 113938424, 112582080, 113561512, 107771776, 110544856
  1342,  16,  16384,   8943,  15,  14,   1, 111753432, 105660808, 110455112, 111658256, 111176872
  1343,  16,  16384,  17549,  14,  15,   1, 111066256, 110906712, 109133192, 104477200, 111745536
  1344,  16,  16384,  33425,  15,   8,   3, 111753448, 110473952, 111481720, 111342200, 113856368
  1345,  16,  16384,  24711,   8,  10,   2, 112718120, 113597480, 113961920, 113533200, 111236928
  1346,  16,  16384,  38664,  10,  10,   0, 109846040, 109455040, 110883424, 110882208, 110997424
  1347,  16,  16384,  41323,  10,   6,   2, 110946136, 110611264, 110572576, 110803616, 109206296
  1348,  16,  16384,  31001,   6,   7,   1, 108778344, 110075144, 104185064, 108728072, 111469792
  1349,  16,  16384,  29305,   7,   7,   0, 110485184, 111771400, 110122344, 109938720, 111327904
  1350,  16,  16384,  26823,   7,   6,   1, 105571760, 111640096, 111534912, 110424032, 109097280
  1351,  16,  16384,  25646,   6,  11,   2, 110078352, 110345616, 110210456, 110171912, 104319216
  1352,  16,  16384,  45713,  11,  17,   3, 111761440, 111573912, 110619200, 110385600, 116005752
  1353,  16,  16384,  32882,  17,  16,   1, 115956688, 115590792, 116003688, 115781888, 114378048
  1354,  16,  16384,  29930,  16,   6,   3, 109769384, 115194728, 115409384, 115226112, 109300000
  1355,  16,  16384,  30343,   6,  11,   2, 110098576, 104263608, 108685832, 109830624, 111494352
  1356,  16,  16384,  38647,  11,  14,   3, 111718688, 111380536, 104074104, 111438496, 111020344
  1357,  16,  16384,   7834,  14,   8,   3, 109602096, 109821632, 110682984, 109269224, 113788288
  1358,  16,  16384,   7533,   8,   9,   1, 113874416, 113777056, 113608512, 113519752, 114360344
  1359,  16,  16384,  21731,   9,  23,   3, 114158624, 113874312, 114017328, 113069928, 111761152
  1360,  16,  16384,   1608,  23,  23,   0, 113579280, 113167776, 113366472, 113417616, 113442600
  1361,  16,  16384,   3176,  23,  20,   2, 111766792, 107684600, 112248600, 111875600, 113159712
  1362,  16,  16384,  35668,  20,  19,   2, 115585008, 112603208, 115373944, 115351256, 113262048
  1363,  16,  16384,  27563,  19,  22,   2, 113182800, 113173168, 112038304, 113103064, 112581528
  1364,  16,  16384,  49808,  22,   7,   3, 111458088, 112559568, 111286960, 111095880, 111587472
  1365,  16,  16384,  20844,   7,  11,   2, 111688416, 111418504, 111138992, 110306760, 111592952
  1366,  16,  16384,  14911,  11,  11,   0, 110514560, 111229048, 110251608, 111299752, 110740848
  1367,  16,  16384,  44932,  11,  11,   0, 110089720, 111507264, 111396056, 111590936, 111430960
  1368,  16,  16384,  10810,  11,  12,   3, 111672312, 105707176, 110401912, 111386416, 113688904
  1369,  16,  16384,   7179,  12,  12,   0, 112062504, 112963760, 113575496, 113732080, 113567544
  1370,  16,  16384,   8679,  12,  20,   3, 113948128, 113502600, 113682168, 113640736, 106772960
  1371,  16,  16384,  22015,  20,  19,   2, 115705736, 112915128, 114003312, 115579864, 112059168
  1372,  16,  16384,   7551,  19,  22,   2, 113170344, 113093600, 113363328, 113325368, 112713720
  1373,  16,  16384,  44042,  22,  20,   2, 111232128, 112244368, 111328800, 112393144, 115298008
  1374,  16,  16384,  20292,  20,  19,   2, 115436080, 115327240, 115414072, 115311400, 113263336
  1375,  16,  16384,  28443,  19,  20,   2, 112376160, 111665352, 113242224, 113498840, 114216544
  1376,  16,  16384,  37904,  20,  21,   1, 114435712, 115291440, 115131432, 115254416, 115907504
  1377,  16,  16384,   5942,  21,  23,   2, 116036040, 115797608, 114423040, 114512088, 113385848
  1378,  16,  16384,   3940,  23,  17,   3, 107652408, 113321488, 111805416, 111995336, 116108376
  1379,  16,  16384,  23568,  17,   6,   3, 115509376, 114815040, 109718512, 115755128, 108915104
  1380,  16,  16384,  11022,   6,   7,   1, 110124744, 110033840, 109904408, 104153560, 110915736
  1381,  16,  16384,   3804,   7,  23,   3, 110912912, 111130592, 111530456, 111159984, 113391016
  1382,  16,  16384,  23442,  23,   4,   3, 113633392, 110766408, 113335864, 113546920, 113759896
  1383,  16,  16384,   1966,   4,   6,   3, 106721280, 113592144, 113648992, 113521440, 110262576
  1384,  16,  16384,    783,   6,   7,   1, 110222832, 109354680, 109604608, 109822600, 111263704
  1385,  16,  16384,  35850,   7,   9,   2, 111528896, 110115664, 111546240, 110117648, 114296544
  1386,  16,  16384,  26189,   9,   8,   1, 114104296, 107912568, 113806968, 114009968, 113739768
  1387,  16,  16384,  15397,   8,   7,   2, 113761552, 107482232, 113493472, 113694240, 110040744
  1388,  16,  16384,    568,   7,   6,   1, 110234360, 111316256, 111282960, 111578352, 110181696
  1389,  16,  16384,  16704,   6,   9,   2, 108909544, 108781088, 110214136, 109930248, 113077392
  1390,  16,  16384,  40682,   9,  17,   3, 114079000, 113593768, 113412720, 114309016, 116120976
  1391,  16,  16384,  23216,  17,  12,   2, 114701184, 114520912, 116065888, 108928440, 113707024
  1392,  16,  16384,  24730,  12,  19,   3, 114039576, 113887512, 112683104, 112239536, 113664784
  1393,  16,  16384,  14209,  19,  19,   0, 113378640, 113397048, 113167584, 112124664, 113433624
  1394,  16,  16384,   5524,  19,  17,   3, 113444792, 113319728, 112878272, 113012352, 114584496
  1395,  16,  16384,  21706,  17,   1,   3, 115632968, 115695584, 115731232, 115814584, 112140752
  1396,  16,  16384,  28832,   1,   5,   2, 114037840, 107886792, 113380744, 111990448, 114121840
  1397,  16,  16384,  29484,   5,   5,   0, 114310840, 113798920, 113973752, 113945336, 114042528
  1398,  16,  16384,  41110,   5,   5,   0, 114169368, 106263112, 113406224, 113925424, 112480336
  1399,  16,  16384,   8790,   5,   5,   0, 113246520, 113813304, 113607576, 113806848, 113943656
  1400,  16,  16384,  34677,   5,   1,   2, 114608272, 113950936, 114264264, 113017448, 114110400
  1401,  16,  16384,  32991,   1,   1,   0, 114188080, 113817656, 111522880, 113755576, 114204776
  1402,  16,  16384,  36213,   1,   1,   0, 114058288, 113713696, 107788680, 113955696, 112651008
  1403,  16,  16384,  25620,   1,   2,   2, 112860192, 114184144, 113848952, 114231480, 110780880
  1404,  16,  16384,  31280,   2,   3,   1, 110887520, 110644744, 110724384, 109668688, 111410256
  1405,  16,  16384,  42597,   3,   3,   0, 111522432, 111286800, 111211400, 110226360, 109081656
  1406,  16,  16384,  40331,   3,  17,   3, 111484048, 111415312, 111490856, 111098008, 114661208
  1407,  16,  16384,     17,  17,  16,   1, 116168584, 115676704, 113588392, 115815152, 115549152
  1408,  16,  16384,  34556,  16,  14,   2, 114219064, 114016440, 115510280, 114301256, 110942208
  1409,  16,  16384,  13991,  14,  15,   1, 109917840, 109717224, 110996736, 110909152, 111583640
  1410,  16,  16384,  12978,  15,  15,   0, 111721000, 109044376, 105635208, 110784112, 110608448
  1411,  16,  16384,  42091,  15,  14,   1, 111655560, 111460200, 111420624, 111460552, 111044520
  1412,  16,  16384,  22623,  14,  12,   2, 111085704, 111006768, 105033496, 110346528, 113716944
  1413,  16,  16384,    959,  12,  13,   1, 112119880, 109075688, 112602744, 113631632, 114527840
  1414,  16,  16384,  48198,  13,  12,   1, 113320760, 114179752, 114176504, 107866504, 112590712
  1415,  16,  16384,  23979,  12,  18,   3, 113775304, 113407048, 113484920, 107324152, 112688280
  1416,  16,  16384,  22930,  18,  18,   0, 105681536, 112284408, 112345808, 112384048, 111214968
  1417,  16,  16384,  16580,  18,  13,   3, 112786472, 112251880, 111351104, 112392568, 113013904
  1418,  16,  16384,  41591,  13,   1,   3, 114261776, 113040360, 113994592, 113997752, 113840960
  1419,  16,  16384,  43796,   1,  20,   3, 112962968, 113883168, 113615200, 114060944, 115605720
  1420,  16,  16384,  29458,  20,  18,   2, 114326688, 114204520, 115341360, 115712496, 112452056
  1421,  16,  16384,   2483,  18,  20,   2, 112621544, 111318856, 112352880, 112333760, 115543392
  1422,  16,  16384,  35328,  20,   7,   3, 115614672, 115459216, 114289864, 114128112, 111363520
  1423,  16,  16384,  27446,   7,  10,   2, 111608488, 111340656, 111438888, 111249376, 106454440
  1424,  16,  16384,  46093,  10,  11,   1, 109706016, 110722280, 109709056, 110871280, 111270576
  1425,  16,  16384,  28910,  11,  10,   1, 111478440, 111664656, 111247928, 111504872, 111093712
  1426,  16,  16384,   7430,  10,  10,   0, 110932496, 104693856, 110612896, 110518576, 110876992
  1427,  16,  16384,  38037,  10,  11,   1, 109926904, 110834936, 109695040, 110754920, 111610568
  1428,  16,  16384,  45285,  11,   8,   2, 111681640, 111361352, 110162648, 110411488, 113779688
  1429,  16,  16384,   5884,   8,   9,   1, 113792624, 113334728, 112614976, 113402032, 114290144
  1430,  16,  16384,  43921,   9,  10,   2, 113747376, 113355080, 113943040, 114051536, 104939136
  1431,  16,  16384,  47927,  10,  10,   0, 110728080, 109725208, 110747288, 109506648, 111076960
  1432,  16,  16384,  36211,  10,  11,   1, 111157280, 109788552, 110801528, 110775776, 110472552
  1433,  16,  16384,  49849,  11,  10,   1, 110599392, 104320704, 111247640, 111507856, 109983368
  1434,  16,  16384,  20444,  10,  11,   1, 111003968, 110941800, 111005496, 109728248, 110592024
  1435,  16,  16384,  14007,  11,   7,   2, 111693096, 109007120, 111716416, 104375704, 111368848
  1436,  16,  16384,  22730,   7,  20,   3, 110374616, 111590144, 111231696, 111213056, 115727488
  1437,  16,  16384,  36249,  20,  20,   0, 114300928, 115156344, 108156944, 115600304, 115597800
  1438,  16,  16384,   6384,  20,  20,   0, 115425096, 115418480, 114326944, 115845016, 114232984
  1439,  16,  16384,  43007,  20,  20,   0, 115777464, 115411680, 114025552, 115466696, 109429672
  1440,  16,  16384,   1502,  20,  20,   0, 115561704, 115141992, 115216824, 115482392, 114536352
  1441,  16,  16384,  44150,  20,  21,   1, 115751560, 114418928, 115284384, 115320376, 116020536
  1442,  16,  16384,  47174,  21,  22,   2, 114734576, 114481232, 115868032, 114640448, 112586352
  1443,  16,  16384,   1120,  22,  18,   2, 112502968, 112192536, 112335472, 112274768, 111856336
  1444,  16,  16384,  26541,  18,  20,   2, 112652912, 111160424, 110400464, 108413416, 115520112
  1445,  16,  16384,  38350,  20,  21,   1, 115816016, 115462832, 114062584, 115391000, 116084784
  1446,  16,  16384,  42656,  21,  20,   1, 114491872, 111264368, 115594928, 113380208, 115639504
  1447,  16,  16384,  26320,  20,  21,   1, 109855680, 115392392, 115497280, 114081136, 115835744
  1448,  16,  16384,  39705,  21,  21,   0, 116157656, 115754872, 115898760, 110070768, 114931928
  1449,  16,  16384,   2053,  21,  21,   0, 116185520, 114565224, 115719264, 114871400, 116178224
  1450,  16,  16384,    128,  21,  15,   3, 115830632, 115761920, 115853832, 115883936, 111567264
  1451,  16,  16384,  28075,  15,  13,   2, 110631624, 110361960, 103975760, 111548352, 114336248
  1452,  16,  16384,  19481,  13,   7,   3, 114524128, 113121952, 114084176, 114171984, 111344320
  1453,  16,  16384,  48795,   7,  22,   3, 111363944, 111205472, 109989128, 111297672, 111357008
  1454,  16,  16384,  36361,  22,  19,   2, 112875576, 112613632, 112393800, 106827168, 113677120
  1455,  16,  16384,   8328,  19,  23,   2, 113458584, 113299648, 113280408, 113218160, 113377104
  1456,  16,  16384,  44680,  23,  18,   2, 112215816, 112324072, 112916000, 108406128, 112772568
  1457,  16,  16384,  22224,  18,  20,   2, 111226104, 111041288, 112489160, 112510672, 115609168
  1458,  16,  16384,  23837,  20,  11,   3, 115369320, 115510976, 115441072, 113509496, 109348712
  1459,  16,  16384,  36826,  11,   8,   2, 111524320, 109259144, 111362976, 111615776, 113727944
  1460,  16,  16384,   9947,   8,   8,   0, 112609496, 113298472, 113525248, 113693480, 114071696
  1461,  16,  16384,   1490,   8,   9,   1, 112463848, 112614624, 113773104, 113632416, 108363440
  1462,  16,  16384,  38763,   9,  11,   2, 114534160, 113981696, 112871304, 113953912, 111492384
  1463,  16,  16384,  13882,  11,   7,   2, 105609040, 111694800, 110218424, 109671040, 111416192
  1464,  16,  16384,  43766,   7,   7,   0, 110217728, 111370760, 111473744, 110390168, 111676904
  1465,  16,  16384,  19015,   7,  22,   3, 111581456, 111371360, 111359840, 110293680, 111341152
  1466,  16,  16384,  22888,  22,   4,   3, 112050816, 111447872, 112446392, 112349744, 113954040
  1467,  16,  16384,  31290,   4,   4,   0, 107857064, 113663000, 113817080, 114052504, 113000568
  1468,  16,  16384,  48345,   4,   5,   1, 113684968, 112618488, 113869656, 113576160, 108136400
  1469,  16,  16384,  47629,   5,  22,   3, 114317136, 113878064, 113589304, 113978088, 112579392
  1470,  16,  16384,  48489,  22,  23,   1, 111693992, 112541784, 111212048, 112510520, 112633568
  1471,  16,  16384,  42245,  23,  23,   0, 112549056, 113129592, 112639480, 111908816, 112251440
  1472,  16,  16384,  17870,  23,  20,   2, 113392240, 113065648, 112754944, 112079176, 115403840
  1473,  16,  16384,  23240,  20,  20,   0, 115511552, 114050264, 115261520, 115360776, 115525808
  1474,  16,  16384,  25574,  20,  21,   1, 115515584, 114260512, 113987872, 115495536, 115770384
  1475,  16,  16384,  39467,  21,  21,   0, 116110944, 114609776, 114244944, 115720832, 116003584
  1476,  16,  16384,  48917,  21,  21,   0, 116238064, 115603352, 115855104, 110112456, 116220608
  1477,  16,  16384,  28456,  21,  14,   3, 115917936, 115778496, 114722160, 115641864, 110978856
  1478,  16,  16384,  37459,  14,  15,   1, 108805024, 111001744, 110808248, 104926152, 109355592
  1479,  16,  16384,  12151,  15,   2,   3, 111703936, 111156648, 110920256, 111619936, 110965208
  1480,  16,  16384,  20572,   2,   2,   0, 103877576, 110799528, 109257528, 110691104, 110573544
  1481,  16,  16384,  26311,   2,   4,   2, 109631608, 110593376, 110636792, 110842424, 112979856
  1482,  16,  16384,  27634,   4,   3,   2, 112859200, 112698488, 113643440, 113709944, 111326784
  1483,  16,  16384,   6193,   3,   2,   1, 111359760, 111311152, 111540408, 111051176, 110805736
  1484,  16,  16384,  29678,   2,   3,   1, 110752264, 111010792, 109470408, 110954864, 111413608
  1485,  16,  16384,  13107,   3,   3,   0, 111512888, 111327360, 111427064, 111130344, 111602112
  1486,  16,  16384,  34234,   3,  12,   3, 111827744, 109129208, 111357064, 110100328, 113920480
  1487,  16,  16384,  18506,  12,  13,   1, 113706104, 113715128, 112292080, 113538760, 114414384
  1488,  16,  16384,    849,  13,  11,   3, 113266296, 106935840, 114075720, 114125768, 110388976
  1489,  16,  16384,  12283,  11,  11,   0, 111701440, 111304320, 111211440, 110463240, 111698768
  1490,  16,  16384,  48592,  11,   8,   2, 111691888, 111734256, 111534824, 111349624, 113645728
  1491,  16,  16384,  45831,   8,  11,   2, 112535864, 113336872, 112845920, 112799136, 111712688
  1492,  16,  16384,   9751,  11,  10,   1, 111637160, 111376200, 111515264, 111740976, 110995704
  1493,  16,  16384,   6296,  10,  11,   1, 110856216, 110736704, 104925696, 111068384, 111563440
  1494,  16,  16384,  48222,  11,  11,   0, 111660656, 110473064, 111442688, 111810920, 111552848
  1495,  16,  16384,  29735,  11,  10,   1, 111549696, 110376480, 111583112, 111554928, 110888704
  1496,  16,  16384,  26441,  10,  14,   3, 110017736, 109613128, 111229008, 109953880, 109868664
  1497,  16,  16384,  31927,  14,  23,   3, 111289736, 110918048, 110848240, 110567544, 112077240
  1498,  16,  16384,  11112,  23,  15,   3, 112287864, 113355904, 107447168, 111811664, 111456352
  1499,  16,  16384,  10219,  15,  15,   0, 110650312, 111278464, 111578128, 111483392, 110478280
  1500,  16,  16384,  23996,  15,  17,   2, 111620384, 111595704, 111467992, 105395608, 116135736
  1501,  16,  16384,  17257,  17,  13,   2, 110286600, 114553152, 115633176, 114668880, 114313152
  1502,  16,  16384,  36354,  13,  21,   3, 108421520, 114285656, 113935592, 112985616, 116409464
  1503,  16,  16384,  18361,  21,  10,   3, 116026456, 115629624, 110019992, 115633608, 110852024
  1504,  16,  16384,  41334,  10,  11,   1, 111110704, 110822184, 111055776, 110881016, 111849560
  1505,  16,  16384,   5631,  11,   6,   2, 111832688, 111493384, 110456048, 110317656, 108950016
  1506,  16,  16384,  14841,   6,   8,   2, 103414112, 109759728, 110082496, 109999272, 113979336
  1507,  16,  16384,  10922,   8,   9,   1, 112780472, 113758312, 113726952, 112608520, 114018664
  1508,  16,  16384,  17279,   9,   8,   1, 114332296, 112911456, 113777640, 112783368, 113804328
  1509,  16,  16384,  41651,   8,   9,   1, 113830640, 113455568, 113481360, 112723352, 113865560
  1510,  16,  16384,  48878,   9,   7,   2, 114317912, 114357024, 114044072, 112588952, 105698096
  1511,  16,  16384,  25697,   7,  11,   2, 111489464, 110146120, 111512944, 111480680, 111550352
  1512,  16,  16384,  34176,  11,  10,   1, 111863584, 111564624, 111457440, 110302272, 109837120
  1513,  16,  16384,  44247,  10,   9,   2, 110978104, 111046704, 111060216, 110924736, 112811808
  1514,  16,  16384,  13019,   9,   8,   1, 114139368, 114199992, 114104456, 113945656, 113534528
  1515,  16,  16384,  20070,   8,  10,   2, 107480632, 113346848, 113257256, 113590640, 110820536
  1516,  16,  16384,  49270,  10,  11,   1, 111056624, 110781144, 110886144, 110815136, 111110688
  1517,  16,  16384,  15955,  11,   8,   2, 110978816, 110425688, 110355328, 110445520, 114030464
  1518,  16,  16384,  27188,   8,   9,   1, 113757072, 113593184, 112398208, 113784120, 114134720
  1519,  16,  16384,  28690,   9,  11,   2, 114366712, 113696408, 114147488, 113936360, 110730544
  1520,  16,  16384,    921,  11,  18,   3, 111843168, 109455872, 107725152, 111712920, 112651144
  1521,  16,  16384,   4363,  18,  15,   3, 111298104, 111382504, 112313632, 112374776, 109373728
  1522,  16,  16384,   7419,  15,  14,   1, 105575616, 109161960, 111417672, 111473456, 111253832
  1523,  16,  16384,  47726,  14,  14,   0, 110791000, 110788552, 110900736, 104747680, 110889384
  1524,  16,  16384,   8820,  14,  15,   1, 111291728, 109765000, 108348456, 110850720, 111756936
  1525,  16,  16384,  44456,  15,  18,   3, 111509712, 111343104, 111655800, 111479848, 111124864
  1526,  16,  16384,   7379,  18,  14,   3, 112853440, 112489848, 111225000, 112140736, 108857736
  1527,  16,  16384,  21313,  14,  16,   2, 110906440, 111057712, 110864120, 110906816, 115446008
  1528,  16,  16384,   3048,  16,  13,   2, 115668424, 115558384, 114199576, 115658240, 113045872
  1529,  16,  16384,  43389,  13,  12,   1, 114252904, 113006776, 114023928, 113809200, 113770936
  1530,  16,  16384,  45757,  12,  17,   2, 112742296, 113495872, 113571120, 113438536, 114848768
  1531,  16,  16384,  29116,  17,  16,   1, 114827912, 115623312, 116081408, 115608272, 115330432
  1532,  16,  16384,  15397,  16,  14,   2, 114334824, 114406320, 115596968, 115308472, 110766272
  1533,  16,  16384,  45404,  14,   1,   3, 110206664, 110577080, 110662192, 109168496, 114090896
  1534,  16,  16384,   7359,   1,  17,   3, 114141744, 114089448, 113918240, 113506688, 115939904
  1535,  16,  16384,  44634,  17,   2,   3, 110643792, 113612704, 114191656, 115726672, 108285744
  1536,  16,  16384,  20261,   2,   2,   0, 110946232, 110736816, 110825648, 110863216, 111217928
  1537,  16,  16384,  38685,   2,   2,   0, 109790032, 109405408, 110652976, 110630696, 108553616
  1538,  16,  16384,     94,   2,   9,   3, 110689440, 108307424, 110532504, 110585032, 114179488
  1539,  16,  16384,   9229,   9,  10,   2, 114098136, 114337152, 113957072, 113976472, 110756176
  1540,  16,  16384,   6863,  10,  11,   1, 111093696, 110205296, 110478904, 110742632, 111549528
  1541,  16,  16384,  18597,  11,  20,   3, 111697800, 111527872, 111503792, 111595024, 115558528
  1542,  16,  16384,  17687,  20,  20,   0, 109907464, 114364464, 114179000, 115403784, 115301112
  1543,  16,  16384,  48485,  20,  18,   2, 115637608, 115276032, 115578440, 113827584, 112469568
  1544,  16,  16384,   3775,  18,  20,   2, 112791064, 112487720, 112381104, 112348704, 114982000
  1545,  16,  16384,  44669,  20,  21,   1, 115804240, 115617472, 115378032, 115464208, 116134848
  1546,  16,  16384,  46352,  21,   1,   3, 116007728, 115974824, 115230016, 115580712, 114180760
  1547,  16,  16384,  18293,   1,   5,   2, 107934576, 113826960, 112682224, 111378408, 114076112
  1548,  16,  16384,  43870,   5,   8,   3, 113891160, 114042768, 113965408, 113792256, 112463032
  1549,  16,  16384,  11548,   8,   5,   3, 112869328, 113817264, 113286160, 113140496, 112524064
  1550,  16,  16384,  29236,   5,   5,   0, 111756336, 114252576, 113967712, 114122056, 114254056
  1551,  16,  16384,   9033,   5,   5,   0, 113848344, 113819328, 113034920, 114065064, 113978824
  1552,  16,  16384,  34761,   5,   4,   1, 114286440, 112474864, 105513840, 112493224, 113756384
  1553,  16,  16384,   9867,   4,  14,   3, 113972400, 113851536, 112953352, 107973728, 110909728
  1554,  16,  16384,  40231,  14,  14,   0, 109564096, 108904880, 110491616, 110865360, 110964896
  1555,  16,  16384,  29547,  14,   9,   3, 111042488, 110686464, 110540624, 110923416, 114270912
  1556,  16,  16384,   9955,   9,  17,   3, 108147496, 114270632, 114091712, 113815032, 114618936
  1557,  16,  16384,   8610,  17,  16,   1, 115721744, 115850760, 109994232, 114427568, 115270832
  1558,  16,  16384,  46015,  16,  16,   0, 115476248, 114359528, 114553576, 115759664, 115879608
  1559,  16,  16384,  25081,  16,   8,   3, 115321808, 113975560, 114094400, 109616776, 113590568
  1560,  16,  16384,  16957,   8,   4,   3, 113816088, 113168080, 111678632, 113695232, 114260984
  1561,  16,  16384,  32617,   4,   5,   1, 113742888, 113655464, 113547040, 113869848, 113623760
  1562,  16,  16384,   8225,   5,   5,   0, 113143848, 114024320, 112893216, 112667304, 113971432
  1563,  16,  16384,  10779,   5,   2,   2, 113177680, 114093984, 113854912, 113834352, 110687160
  1564,  16,  16384,  32674,   2,   2,   0, 110701528, 110579504, 109656360, 110800928, 104321976
  1565,  16,  16384,   8033,   2,   2,   0, 111067392, 110663968, 109898688, 110270752, 109935608
  1566,  16,  16384,   4681,   2,  12,   3, 111117432, 110878560, 110913248, 111109400, 112543280
  1567,  16,  16384,  21639,  12,  16,   2, 113765656, 107312320, 113669704, 111109104, 115452736
  1568,  16,  16384,   4255,  16,  21,   3, 115732352, 115351144, 115194800, 115316976, 116401160
  1569,  16,  16384,  29798,  21,  18,   2, 116160032, 115735968, 116185232, 114621704, 112651168
  1570,  16,  16384,  37487,  18,  19,   1, 112768424, 112096776, 112292096, 106509080, 113328720
  1571,  16,  16384,  32688,  19,  23,   2, 112460944, 112979880, 113056440, 113436376, 113259840
  1572,  16,  16384,  40721,  23,  19,   2, 113552864, 113432072, 111996672, 112993704, 113269280
  1573,  16,  16384,  48617,  19,   5,   3, 113603392, 107480968, 112204880, 113219232, 112773296
  1574,  16,  16384,  37844,   5,   5,   0, 114130632, 114127200, 111721464, 112842072, 114153272
  1575,  16,  16384,   2963,   5,   1,   2, 114262952, 108052688, 113763272, 113860816, 113838224
  1576,  16,  16384,  44776,   1,   0,   1, 114105656, 113005576, 114077384, 113892136, 113679776
  1577,  16,  16384,  28650,   0,  10,   3, 113434264, 113413792, 113355936, 110840640, 110952944
  1578,  16,  16384,  31583,  10,   7,   2, 110897728, 110824960, 109644936, 111089696, 111524200
  1579,  16,  16384,  42833,   7,   4,   3, 111506368, 105317736, 110918928, 111506472, 113933616
  1580,  16,  16384,  45417,   4,   5,   1, 113912704, 113552192, 113680208, 112389552, 113937056
  1581,  16,  16384,    717,   5,   4,   1, 113971624, 111491416, 114172544, 112631968, 110959376
  1582,  16,  16384,  10909,   4,   3,   2, 111108664, 112320896, 113868224, 113901384, 111561688
  1583,  16,  16384,  35628,   3,   2,   1, 111481752, 111197136, 111508576, 111507888, 109276264
  1584,  16,  16384,  24149,   2,   4,   2, 111054208, 110870072, 108063832, 110804544, 114031144
  1585,  16,  16384,  31098,   4,   4,   0, 113851744, 112563248, 111293720, 113991008, 114106280
  1586,  16,  16384,  43471,   4,   5,   1, 113555416, 113499968, 113455336, 113722048, 114044920
  1587,  16,  16384,  29098,   5,   7,   3, 114251864, 113972360, 106717256, 113888192, 111555696
  1588,  16,  16384,  30666,   7,  11,   2, 111461256, 111533696, 111586216, 111291504, 110416936
  1589,  16,  16384,    534,  11,   9,   2, 110380648, 111552184, 109167248, 111404112, 113087008
  1590,  16,  16384,  24151,   9,   2,   3, 114603752, 114323032, 108537216, 114050752, 109977424
  1591,  16,  16384,  28348,   2,   3,   1, 109469664, 110782672, 110532280, 110850520, 109773848
  1592,  16,  16384,  49601,   3,  23,   3, 111314880, 111310128, 111192704, 110370272, 113585672
  1593,  16,  16384,  34204,  23,  20,   2, 113292872, 113317912, 111970096, 113442776, 115422080
  1594,  16,  16384,  40343,  20,   2,   3, 114473696, 115041432, 114067200, 115132992, 110848944
  1595,  16,  16384,  30848,   2,   0,   2, 109665368, 109787592, 110689080, 109674792, 113732512
  1596,  16,  16384,  23013,   0,   4,   2, 112300944, 113450408, 112361328, 112196712, 113773056
  1597,  16,  16384,   4131,   4,   5,   1, 113920352, 113838248, 113550816, 113802416, 113918504
  1598,  16,  16384,  48515,   5,  16,   3, 114277952, 114205856, 114068968, 114055928, 114603616
  1599,  16,  16384,  39601,  16,   0,   3, 114190264, 115253800, 115277984, 115536792, 113881200
  1600,  16,  16384,  33667,   0,   0,   0, 113843088, 111593592, 108430120, 113568288, 112665520
  1601,  16,  16384,  14591,   0,   3,   2, 114192352, 112225936, 113663728, 113600160, 111534904
  1602,  16,  16384,  10233,   3,   3,   0, 110528392, 111367904, 111392368, 105305296, 111255048
  1603,  16,  16384,  39007,   3,   0,   2, 111312128, 110003440, 111494200, 109603096, 113725552
  1604,  16,  16384,  17402,   0,   0,   0, 112900136, 112975496, 113677480, 113492408, 113740576
  1605,  16,  16384,  35803,   0,   1,   1, 112183848, 109193576, 111952032, 112976800, 113725880
  1606,  16,  16384,  12306,   1,   4,   2, 107808536, 112338064, 114094600, 113987680, 114182864
  1607,  16,  16384,  10859,   4,   8,   3, 113755536, 107661352, 113161368, 112926344, 114001176
  1608,  16,  16384,  21093,   8,   3,   3, 113839264, 113534032, 107081736, 112358672, 110165208
  1609,  16,  16384,   7695,   3,   2,   1, 111516720, 111504384, 111469664, 105353784, 110815560
  1610,  16,  16384,  49162,   2,   2,   0, 110790672, 110787880, 110902488, 110889456, 109771440
  1611,  16,  16384,  21967,   2,   3,   1, 110659256, 110719928, 109595992, 110783784, 106652912
  1612,  16,  16384,  33926,   3,   3,   0, 111503816, 111377656, 109967280, 110294904, 110094496
  1613,  16,  16384,  36582,   3,   5,   2, 110987080, 111626440, 110338976, 111508216, 112642888
  1614,  16,  16384,  28991,   5,   4,   1, 114357944, 114120432, 113799976, 114075952, 113734656
  1615,  16,  16384,  18419,   4,  14,   3, 113877144, 112512464, 113365800, 113462320, 109874424
  1616,  16,  16384,  21598,  14,  17,   2, 110915776, 103750624, 110796376, 110783168, 115782040
  1617,  16,  16384,  35872,  17,  15,   2, 116098344, 115805168, 114207456, 113472072, 111513736
  1618,  16,  16384,  15543,  15,  15,   0, 111201560, 110469168, 111590224, 110407928, 111645216
  1619,  16,  16384,  14535,  15,  14,   1, 111868960, 111422352, 110516016, 105431000, 111124256
  1620,  16,  16384,  23168,  14,   0,   3, 110033080, 110612024, 110654152, 109397456, 111230856
  1621,  16,  16384,   5364,   0,   0,   0, 110518784, 113436248, 113386080, 112362688, 113725208
  1622,  16,  16384,  12500,   0,   0,   0, 113682376, 112425408, 113628640, 113774808, 113293552
  1623,  16,  16384,  39040,   0,   1,   1, 113591384, 112224496, 113562608, 113556136, 114049616
  1624,  16,  16384,   1878,   1,   0,   1, 112884040, 113896024, 112974504, 112910664, 113695848
  1625,  16,  16384,  28171,   0,   9,   3, 112455840, 113556648, 113812264, 113635600, 112927096
  1626,  16,  16384,  38370,   9,  20,   3, 114221960, 114094416, 113109376, 114084272, 114207360
  1627,  16,  16384,  35033,  20,  21,   1, 114484504, 115229424, 113937120, 115342728, 116156776
  1628,  16,  16384,  41793,  21,  19,   2, 115935720, 115750776, 115749000, 115958904, 107720904
  1629,  16,  16384,   3787,  19,  19,   0, 113325800, 112123920, 112694232, 111836888, 113490328
  1630,  16,  16384,   9780,  19,  18,   1, 113571160, 113380080, 113332712, 113475080, 112856792
  1631,  16,  16384,  38799,  18,  10,   3, 112614504, 112542952, 106531040, 112429560, 109670896
  1632,  16,  16384,  33702,  10,   6,   2, 111268976, 110896576, 104724696, 110461112, 110278456
  1633,  16,  16384,  23703,   6,   7,   1, 104588544, 110011512, 110224560, 110163032, 104049088
  1634,  16,  16384,  26090,   7,   7,   0, 111571032, 111305368, 111332720, 111514152, 111418632
  1635,  16,  16384,  40805,   7,   1,   3, 110292608, 110586968, 109895048, 111595888, 112818312
  1636,  16,  16384,  25867,   1,   7,   3, 113783896, 113799272, 113956792, 107651128, 111235872
  1637,  16,  16384,  12620,   7,   7,   0, 111465168, 111288152, 110035872, 110383048, 111435976
  1638,  16,  16384,  49837,   7,   6,   1, 111509272, 111727816, 111465128, 110520136, 110212992
  1639,  16,  16384,  37391,   6,   7,   1, 109095576, 110213264, 108893160, 108654624, 109321264
  1640,  16,  16384,  45372,   7,  16,   3, 111660000, 111277232, 111432592, 111261680, 115367464
  1641,  16,  16384,   6674,  16,   3,   3, 109673376, 115388168, 115213624, 115246016, 111508240
  1642,  16,  16384,  42655,   3,   3,   0, 109075168, 110361592, 111383856, 111474064, 111435912
  1643,  16,  16384,  27737,   3,   3,   0, 105561032, 110000432, 111229768, 111464976, 111390088
  1644,  16,  16384,  47165,   3,   3,   0, 111570360, 111492344, 108911840, 110202408, 111596872
  1645,  16,  16384,  23883,   3,  20,   3, 111432344, 111418144, 111326136, 103555880, 115522208
  1646,  16,  16384,  38417,  20,  19,   2, 115573176, 114048288, 115484832, 115317536, 113652320
  1647,  16,  16384,   3019,  19,  21,   2, 113813344, 113198416, 113343216, 113177176, 114531792
  1648,  16,  16384,  39741,  21,  21,   0, 116067864, 114735104, 115780800, 116128768, 115931832
  1649,  16,  16384,  34242,  21,  20,   1, 114903272, 115760840, 115862792, 109717328, 115415360
  1650,  16,  16384,  17297,  20,  20,   0, 115416600, 115486648, 115227488, 115268520, 114418504
  1651,  16,  16384,  20724,  20,  21,   1, 115624712, 115981960, 114124512, 115368272, 110074328
  1652,  16,  16384,  16283,  21,  22,   2, 114836520, 115704032, 114707472, 115771136, 112320072
  1653,  16,  16384,   8269,  22,   1,   3, 111288272, 112117248, 111101424, 112453264, 113499920
  1654,  16,  16384,  24696,   1,  16,   3, 114246824, 114198752, 111174456, 109194456, 115595320
  1655,  16,  16384,  49211,  16,  17,   1, 115284984, 112406080, 112272944, 114221392, 114746824
  1656,  16,  16384,  49960,  17,  13,   2, 114713000, 115733632, 116076328, 115644304, 108407552
  1657,  16,  16384,  11685,  13,  17,   2, 112976232, 113934240, 113907184, 112890328, 115935624
  1658,  16,  16384,  16393,  17,  17,   0, 115785272, 114700608, 115684056, 115600672, 116039632
  1659,  16,  16384,  11188,  17,  16,   1, 114631232, 114612448, 114649624, 115597536, 108222040
  1660,  16,  16384,  34346,  16,  16,   0, 115378920, 115308544, 114026560, 115320968, 112975856
  1661,  16,  16384,  11144,  16,  12,   2, 115570904, 115370304, 115727864, 115425936, 113577760
  1662,  16,  16384,  31243,  12,  17,   2, 113829096, 113855312, 111548056, 113551920, 115556272
  1663,  16,  16384,  22981,  17,  10,   3, 116020768, 115744160, 115549632, 114572392, 109940544
  1664,  16,  16384,  43260,  10,   8,   2, 111084768, 108522696, 111058984, 111198144, 114032296
  1665,  16,  16384,  14012,   8,   9,   1, 113758096, 113809040, 112308752, 113812456, 113282592
  1666,  16,  16384,  31648,   9,   0,   3, 108218520, 113700784, 114005192, 114055992, 107612952
  1667,  16,  16384,  11891,   0,  11,   3, 112178936, 113675416, 113489712, 113523392, 111628064
  1668,  16,  16384,  33741,  11,  10,   1, 110503816, 111581656, 110349632, 111166640, 111363184
  1669,  16,  16384,   7458,  10,  10,   0, 111234288, 110772880, 110573736, 105028992, 110940840
  1670,  16,  16384,  33767,  10,  19,   3, 111221448, 110947776, 109673008, 110773840, 113258272
  1671,  16,  16384,  36223,  19,  20,   2, 111926416, 113216328, 112973936, 113108336, 115636624
  1672,  16,  16384,  41830,  20,  21,   1, 115527376, 115859280, 115129384, 115626760, 114696592
  1673,  16,  16384,  18773,  21,  21,   0, 116085744, 115764064, 115795624, 115742712, 114752064
  1674,  16,  16384,  36314,  21,  19,   2, 114444896, 115822488, 110191080, 115782696, 110176512
  1675,  16,  16384,   1797,  19,  19,   0, 109456688, 112988048, 111589416, 113139256, 113431696
  1676,  16,  16384,  49892,  19,  18,   1, 110966064, 112912776, 113161352, 113023880, 112714896
  1677,  16,  16384,  37390,  18,  19,   1, 106936456, 112292024, 112342104, 110367080, 113599544
  1678,  16,  16384,  47754,  19,  21,   2, 113465992, 110548200, 113081104, 113363848, 110383880
  1679,  16,  16384,  14040,  21,  21,   0, 114585384, 115648040, 116057280, 114547744, 115838008
  1680,  16,  16384,  26955,  21,  19,   2, 116186232, 115738928, 115620576, 114472080, 113501184
  1681,  16,  16384,  31991,  19,  19,   0, 113938832, 113290864, 113149320, 111762472, 113468944
  1682,  16,  16384,  43922,  19,  22,   2, 112026216, 107479408, 113318856, 113021592, 111268496
  1683,  16,  16384,  27462,  22,  22,   0, 112492104, 112432264, 112357752, 112342136, 112238464
  1684,  16,  16384,  45265,  22,  22,   0, 111434232, 111208272, 112314544, 112506800, 111323888
  1685,  16,  16384,  11872,  22,  21,   2, 106773192, 111219648, 112341240, 112194024, 114532816
  1686,  16,  16384,  23459,  21,  21,   0, 110147408, 115788496, 114354496, 115954696, 116069136
  1687,  16,  16384,  38345,  21,  23,   2, 115825408, 115852368, 113112160, 115595608, 113337520
  1688,  16,  16384,  32116,  23,  22,   1, 112180552, 113200808, 113174560, 111831400, 112784472
  1689,  16,  16384,  48814,  22,  23,   1, 112718008, 111142520, 112348760, 111296336, 113555152
  1690,  16,  16384,  29530,  23,  23,   0, 113454912, 112004040, 112994072, 113029520, 112128528
  1691,  16,  16384,   9161,  23,  22,   1, 107501304, 112955920, 111682872, 111876472, 108356344
  1692,  16,  16384,   5375,  22,  19,   2, 109286352, 112157272, 112324280, 112250616, 113329776
  1693,  16,  16384,   9240,  19,   6,   3, 113109800, 111776136, 113203392, 113292760, 108682576
  1694,  16,  16384,  20899,   6,   7,   1, 110116960, 108795168, 109871240, 108611784, 111494904
  1695,  16,  16384,  13212,   7,   7,   0, 105329048, 111640032, 111317816, 110450960, 111301304
  1696,  16,  16384,  38074,   7,  23,   3, 111821064, 111468328, 110219008, 110119272, 113401768
  1697,  16,  16384,  36365,  23,  22,   1, 107626536, 113180640, 112912784, 111793312, 112703432
  1698,  16,  16384,  17236,  22,  19,   2, 111625648, 112296784, 110969608, 111195584, 113490224
  1699,  16,  16384,  29425,  19,  22,   2, 113654288, 113208192, 113061440, 113099192, 112458112
  1700,  16,  16384,  29496,  22,  19,   2, 112584592, 112409912, 111509728, 111263992, 111809776
  1701,  16,  16384,  46252,  19,  19,   0, 113128392, 113343272, 113436536, 113252720, 113092464
  1702,  16,  16384,  47268,  19,  18,   1, 112073408, 107989104, 111940656, 112261384, 111709856
  1703,  16,  16384,  43789,  18,  19,   1, 111367128, 112258976, 106786144, 112121056, 113648304
  1704,  16,  16384,  23442,  19,  22,   2, 112239776, 112908720, 113271904, 104517280, 110122872
  1705,  16,  16384,  47977,  22,  22,   0, 112264256, 110261072, 112528648, 112615928, 112625504
  1706,  16,  16384,  21512,  22,  23,   1, 112464760, 112225424, 112403760, 112549048, 112172128
  1707,  16,  16384,  16441,  23,  16,   3, 113502696, 113038448, 107327304, 111680400, 115406552
  1708,  16,  16384,  19006,  16,  17,   1, 114482872, 115230656, 113990680, 114090344, 115920296
  1709,  16,  16384,  38309,  17,  16,   1, 115970488, 115836440, 114384256, 114604392, 115607168
  1710,  16,  16384,  41919,  16,  10,   3, 115942616, 114000040, 115747632, 115457264, 111018288
  1711,  16,  16384,  28813,  10,  10,   0, 110730184, 110680080, 109670320, 103116144, 109546224
  1712,  16,  16384,   7891,  10,   8,   2, 110859960, 110981560, 110803928, 110985232, 113747672
  1713,  16,  16384,  44325,   8,   8,   0, 112595192, 113494240, 113865104, 111346136, 112612448
  1714,  16,  16384,  48127,   8,   8,   0, 113712728, 113476008, 113491448, 113673032, 107634552
  1715,  16,  16384,  48182,   8,  11,   2, 113923616, 112660320, 113542512, 113438664, 111359488
  1716,  16,  16384,   7440,  11,  22,   3, 111843432, 110459904, 111548464, 110120992, 112643696
  1717,  16,  16384,  15225,  22,  22,   0, 112535472, 112548856, 112409288, 112324560, 112299792
  1718,  16,  16384,  10255,  22,  21,   2, 111148760, 112468256, 103104840, 110954760, 115421712
  1719,  16,  16384,   2172,  21,  20,   1, 109549352, 115727120, 115964048, 115746392, 114479688
  1720,  16,  16384,  25768,  20,   0,   3, 115854584, 114053232, 115145896, 115341888, 111618848
  1721,  16,  16384,   5618,   0,   3,   2, 109601280, 113389072, 113457976, 112474888, 111385960
  1722,  16,  16384,  48575,   3,   4,   2, 111400256, 104906768, 111586400, 110210432, 113941448
  1723,  16,  16384,  20195,   4,   4,   0, 113079024, 107228848, 113858488, 113816752, 114048168
  1724,  16,  16384,  41196,   4,  12,   3, 112590376, 113815528, 112447776, 113616704, 113473128
  1725,  16,  16384,   4139,  12,  20,   3, 107690768, 112458232, 113575072, 111461032, 115706264
  1726,  16,  16384,  21684,  20,  23,   2, 115702192, 115509800, 115121152, 115658576, 110929296
  1727,  16,  16384,   5529,  23,  23,   0, 113436848, 113534216, 113144680, 113106984, 113470680
  1728,  16,  16384,   7804,  23,  23,   0, 107587856, 113160480, 113035328, 112027352, 113491408
  1729,  16,  16384,  43086,  23,  22,   1, 112374248, 113224544, 110708256, 113392472, 108843856
  1730,  16,  16384,  36956,  22,  22,   0, 112602128, 112457144, 112542760, 112372000, 112578696
  1731,  16,  16384,  11118,  22,  21,   2, 112678456, 112586688, 111203344, 112520936, 115994720
  1732,  16,  16384,  10175,  21,  21,   0, 116217704, 114288400, 115029000, 115544344, 116117472
  1733,  16,  16384,  12538,  21,  18,   2, 116105056, 109953728, 115505600, 114588064, 112564352
  1734,  16,  16384,  20128,  18,  19,   1, 111430368, 112343576, 109651384, 112772048, 113464744
  1735,  16,  16384,  20077,  19,  18,   1, 113509712, 113000912, 111890288, 108561352, 112298392
  1736,  16,  16384,   8654,  18,  11,   3, 111146608, 106439488, 111062760, 112433832, 111599456
  1737,  16,  16384,  48534,  11,  22,   3, 111534792, 111355560, 111804784, 111666440, 112364632
  1738,  16,  16384,  35897,  22,   7,   3, 112786000, 111179848, 112437008, 111256712, 111266168
  1739,  16,  16384,  42731,   7,   7,   0, 111414320, 111483704, 110949480, 111232496, 111104800
  1740,  16,  16384,  22770,   7,   6,   1, 111497480, 111601640, 109797832, 111461504, 108873696
  1741,  16,  16384,  41309,   6,   7,   1, 108849520, 110075576, 104370312, 108898400, 111691624
  1742,  16,  16384,    980,   7,   7,   0, 111753264, 111343248, 111490968, 111558248, 110224136
  1743,  16,  16384,  42626,   7,  10,   2, 111207192, 99504672, 110924632, 111151992, 109895192
  1744,  16,  16384,  20593,  10,  11,   1, 111279592, 110844896, 109674696, 110952760, 111562464
  1745,  16,  16384,  27843,  11,  11,   0, 111421280, 110518384, 111322208, 103173000, 111577320
  1746,  16,  16384,   2441,  11,  10,   1, 110581384, 111606104, 111502680, 111467440, 111178128
  1747,  16,  16384,  40047,  10,  17,   3, 111099888, 110834368, 110728832, 110732912, 115909232
  1748,  16,  16384,  39873,  17,  18,   3, 114757632, 114739920, 110136856, 115671040, 110213968
  1749,  16,  16384,  42315,  18,  18,   0, 112580152, 112417048, 112374720, 112367840, 112369504
  1750,  16,  16384,  38834,  18,  19,   1, 111771392, 112320728, 112830584, 111647640, 113802296
  1751,  16,  16384,   3409,  19,  18,   1, 113517648, 113299000, 113329064, 112180488, 112459296
  1752,  16,  16384,  15948,  18,  19,   1, 112494896, 111376512, 112726360, 112107896, 113170592
  1753,  16,  16384,  37974,  19,  19,   0, 113296248, 113287848, 113024384, 113442344, 112180856
  1754,  16,  16384,  19955,  19,  18,   1, 113413704, 113302784, 111719400, 110076184, 112351608
  1755,  16,  16384,  39675,  18,  23,   2, 112760720, 111196208, 112382608, 112412832, 113492216
  1756,  16,  16384,  39961,  23,   9,   3, 113159504, 111839184, 113359648, 113238000, 114286296
  1757,  16,  16384,  33801,   9,   9,   0, 112885768, 113276200, 114110440, 112867512, 114321616
  1758,  16,  16384,  45862,   9,  19,   3, 114406096, 114248880, 107565456, 113052488, 113962536
  1759,  16,  16384,   4907,  19,  18,   1, 112188000, 111669128, 113143608, 113468616, 112401752
  1760,  16,  16384,  22252,  18,   2,   3, 109931848, 106791072, 112570896, 112253496, 110826616
  1761,  16,  16384,  49184,   2,   5,   2, 109715768, 110732272, 109495120, 110772656, 113196416
  1762,  16,  16384,  49534,   5,   4,   1, 114429176, 112608720, 114033304, 114006088, 113880112
  1763,  16,  16384,  20938,   4,   4,   0, 112737224, 112840560, 113727768, 113928320, 106464424
  1764,  16,  16384,  14508,   4,   5,   1, 113848408, 113802904, 113623168, 112653592, 114225408
  1765,  16,  16384,   8993,   5,  14,   3, 114392032, 106825336, 112488312, 113947520, 109764752
  1766,  16,  16384,  29222,  14,  14,   0, 111430608, 110649616, 110834240, 111364688, 109917320
  1767,  16,  16384,  20142,  14,   8,   3, 110985664, 109638872, 109961512, 110898400, 107698952
  1768,  16,  16384,   8628,   8,   6,   2, 114139272, 113642424, 113587840, 111056896, 110488224
  1769,  16,  16384,  28663,   6,   9,   2, 110268928, 109037712, 110020048, 107797504, 107945472
  1770,  16,  16384,  40421,   9,   7,   2, 112337880, 113786536, 113849608, 114165808, 111614744
  1771,  16,  16384,  18798,   7,  12,   3, 111562752, 111556424, 110189144, 110256320, 113437160
  1772,  16,  16384,  48687,  12,  13,   1, 113858880, 113004456, 113414720, 113639056, 113898504
  1773,  16,  16384,  38560,  13,  10,   3, 114153976, 107653480, 113844208, 112958136, 104707808
  1774,  16,  16384,   2176,  10,   7,   2, 109894528, 110023024, 109806584, 110872872, 111773496
  1775,  16,  16384,  18066,   7,  16,   3, 111395928, 111240632, 111152016, 111439904, 115443240
  1776,  16,  16384,  20027,  16,  13,   2, 115534152, 114933272, 115302120, 114979008, 113017648
  1777,  16,  16384,  29547,  13,  15,   2, 114243336, 114185776, 114097264, 114255008, 111610608
  1778,  16,  16384,   1239,  15,  14,   1, 111540104, 111636352, 104401680, 110152976, 104941360
  1779,  16,  16384,   1364,  14,  13,   2, 108961208, 110485864, 111063896, 110798520, 114327064
  1780,  16,  16384,  39458,  13,   0,   3, 114114280, 113863728, 113861176, 107997096, 113582528
  1781,  16,  16384,  16934,   0,   1,   1, 113629376, 113683336, 113321984, 109918656, 113261232
  1782,  16,  16384,   9703,   1,  10,   3, 114342992, 113995040, 114012712, 113825592, 110944032
  1783,  16,  16384,  44214,  10,  10,   0, 110962592, 110840416, 109697448, 109071376, 110925208
  1784,  16,  16384,  42252,  10,  11,   1, 105233848, 111012376, 110504128, 109689360, 111716000
  1785,  16,  16384,  17890,  11,   6,   2, 111788968, 111192584, 109113152, 110681000, 104656272
  1786,  16,  16384,   4903,   6,   6,   0, 110480088, 109786816, 108922720, 109998512, 110386992
  1787,  16,  16384,   5140,   6,   6,   0, 108983272, 109956248, 110396560, 110048392, 108805536
  1788,  16,  16384,  38083,   6,  22,   3, 110271688, 110030656, 108954320, 109913760, 111451160
  1789,  16,  16384,  33579,  22,  20,   2, 112725136, 112260896, 112320744, 106527648, 115571448
  1790,  16,  16384,  45177,  20,  19,   2, 115662176, 114292984, 115742248, 115335568, 113531160
  1791,  16,  16384,  39651,  19,  20,   2, 113270152, 113394400, 112065896, 113058640, 115581240
  1792,  16,  16384,   3786,  20,  21,   1, 115661920, 115432024, 113927440, 115301512, 114806128
  1793,  16,  16384,  12661,  21,  20,   1, 115956176, 114694568, 115588032, 114829728, 114142928
  1794,  16,  16384,  34674,  20,  20,   0, 108402112, 115175432, 115302856, 115470560, 114128992
  1795,  16,  16384,   7785,  20,  20,   0, 115643752, 115281336, 115142488, 114553192, 115391192
  1796,  16,  16384,   4172,  20,  20,   0, 115629368, 115335056, 113082432, 109645656, 115355792
  1797,  16,  16384,  25469,  20,  20,   0, 115453648, 115285096, 113991008, 114861640, 115609688
  1798,  16,  16384,  13144,  20,  23,   2, 114341560, 115406512, 115588904, 115435208, 112214648
  1799,  16,  16384,   8427,  23,  20,   2, 113903032, 113316792, 113091056, 111783712, 115538408
  1800,  16,  16384,  11636,  20,  19,   2, 115639792, 115382184, 114395448, 115484952, 113372648
  1801,  16,  16384,  46263,  19,   1,   3, 112045416, 111959848, 113445776, 113128992, 106663616
  1802,  16,  16384,  23556,   1,  22,   3, 113929704, 113490448, 113249328, 113972376, 107531144
  1803,  16,  16384,  24193,  22,  20,   2, 112172448, 111177608, 112491648, 112268536, 115486224
  1804,  16,  16384,  27908,  20,  13,   3, 109925712, 115018096, 114194544, 115126456, 114306032
  1805,  16,  16384,   7363,  13,  12,   1, 114343880, 114199576, 112715080, 106851160, 113790016
  1806,  16,  16384,  18474,  12,   1,   3, 113436872, 113587056, 113529168, 112331792, 114411208
  1807,  16,  16384,  42427,   1,   2,   2, 113820576, 113963144, 113776520, 113975008, 110656912
  1808,  16,  16384,  28799,   2,  20,   3, 109532800, 110978664, 110748384, 110616816, 108328736
  1809,  16,  16384,  12789,  20,  19,   2, 113933120, 115191304, 115494176, 114255384, 111936600
  1810,  16,  16384,  40631,  19,  18,   1, 113526504, 113220376, 113115344, 113109400, 111382848
  1811,  16,  16384,  15999,  18,  17,   3, 111280480, 112481624, 112302736, 112161232, 116079648
  1812,  16,  16384,  16653,  17,  17,   0, 116236720, 115779912, 113005672, 110344544, 115831872
  1813,  16,  16384,  16974,  17,  10,   3, 115851632, 115457456, 113243952, 115930960, 110894952
  1814,  16,  16384,   2062,  10,   7,   2, 110900368, 111003264, 110125392, 111183040, 111604512
  1815,  16,  16384,  47722,   7,   6,   1, 111267840, 110215656, 111239120, 111321152, 110061504
  1816,  16,  16384,   7978,   6,   6,   0, 110300608, 110093032, 110183288, 110010064, 104439152
  1817,  16,  16384,  28897,   6,   6,   0, 110148800, 110041256, 110132248, 107665904, 107865384
  1818,  16,  16384,  28122,   6,   8,   2, 109957112, 110056880, 110020392, 110045544, 112461104
  1819,  16,  16384,  35558,   8,   9,   1, 113673784, 114109640, 113551080, 113561488, 114207824
  1820,  16,  16384,  17311,   9,   2,   3, 114112528, 110515152, 114124304, 114220856, 110956688
  1821,  16,  16384,  15208,   2,   2,   0, 110866648, 110719968, 110533072, 110651160, 110490504
  1822,  16,  16384,  36891,   2,   0,   2, 110742936, 109396824, 109690904, 108162912, 113087728
  1823,  16,  16384,    568,   0,   1,   1, 113377008, 113642608, 112998656, 108011040, 114108224
  1824,  16,  16384,  13498,   1,  17,   3, 113088440, 114070320, 114110456, 112749496, 116059800
  1825,  16,  16384,  36082,  17,   3,   3, 113515432, 115778648, 115724816, 115701088, 111429080
  1826,  16,  16384,   8899,   3,   2,   1, 111305104, 105020960, 110036904, 111188552, 109873976
  1827,  16,  16384,  33093,   2,  13,   3, 109686040, 109538904, 110590208, 110804400, 113956168
  1828,  16,  16384,  46076,  13,   6,   3, 113105080, 113552016, 113136496, 114016264, 103015696
  1829,  16,  16384,   5818,   6,  14,   3, 110129920, 107853000, 109583208, 108988584, 110969240
  1830,  16,  16384,  27699,  14,  17,   2, 111305472, 110729096, 111102560, 111086704, 116007008
  1831,  16,  16384,  49540,  17,  17,   0, 115970856, 115957168, 115890000, 115693576, 105739592
  1832,  16,  16384,  40110,  17,  16,   1, 114709328, 115880408, 115629944, 114767064, 115546888
  1833,  16,  16384,  42536,  16,  16,   0, 115554768, 115700528, 115419072, 115603056, 106717144
  1834,  16,  16384,  11735,  16,  17,   1, 115699096, 115229128, 115054592, 115416608, 116174056
  1835,  16,  16384,  27514,  17,   6,   3, 115975296, 115843984, 116021656, 115621960, 108540688
  1836,  16,  16384,  25856,   6,  11,   2, 110014128, 108749800, 109839760, 108836448, 111696496
  1837,  16,  16384,  42180,  11,  13,   3, 110529432, 110552464, 111283552, 111722632, 113215320
  1838,  16,  16384,  26381,  13,  23,   3, 114166648, 114290432, 114102512, 113314896, 113322496
  1839,  16,  16384,  29215,  23,  21,   2, 113367576, 111980272, 111926928, 113070672, 115984760
  1840,  16,  16384,  24814,  21,  21,   0, 115857752, 109873504, 115513680, 115711960, 114853208
  1841,  16,  16384,  31116,  21,  21,   0, 114867120, 115959592, 115885072, 114704528, 114837864
  1842,  16,  16384,  49732,  21,  21,   0, 116056072, 115537984, 115628808, 115677400, 115964104
  1843,  16,  16384,  38269,  21,  20,   1, 114541008, 116085560, 114521864, 115779184, 115696416
  1844,  16,  16384,  25014,  20,  21,   1, 115825392, 115266104, 115348968, 115335568, 116023504
  1845,  16,  16384,  18303,  21,   9,   3, 110173064, 114350192, 115663656, 114578600, 114123920
  1846,  16,  16384,   5288,   9,   8,   1, 113045592, 114310272, 107957680, 114210040, 113624976
  1847,  16,  16384,  27543,   8,   9,   1, 113975960, 107734888, 113824808, 112376424, 114047784
  1848,  16,  16384,  23672,   9,   9,   0, 113118960, 113786504, 113029488, 114220424, 108229632
  1849,  16,  16384,   3099,   9,   8,   1, 114252312, 114331120, 113715080, 113746320, 113904104
  1850,  16,  16384,   3243,   8,   6,   2, 112393568, 113792704, 112647968, 112744352, 110098608
  1851,  16,  16384,  49733,   6,   6,   0, 110203784, 104387696, 109729792, 108762360, 109595496
  1852,  16,  16384,  17909,   6,  16,   3, 110326712, 110053936, 110220880, 109916720, 113545872
  1853,  16,  16384,   9918,  16,  12,   2, 115558616, 115292104, 109536248, 113808912, 113715648
  1854,  16,  16384,  13309,  12,  12,   0, 113712304, 113782408, 113499248, 113858928, 113885976
  1855,  16,  16384,  26859,  12,   5,   3, 113968584, 112245392, 112739176, 113748704, 112736960
  1856,  16,  16384,  23913,   5,   5,   0, 114186104, 113737656, 114083144, 113951472, 114332360
  1857,  16,  16384,   5790,   5,   5,   0, 114105704, 112922568, 113913264, 114255880, 105424640
  1858,  16,  16384,  13401,   5,   5,   0, 113720056, 114063984, 112754104, 113581216, 113881552
  1859,  16,  16384,  46259,   5,   4,   1, 113803992, 114002776, 113930584, 114269816, 113734560
  1860,  16,  16384,  24118,   4,  10,   3, 113921384, 113409920, 112562816, 112609984, 109792704
  1861,  16,  16384,  28452,  10,  21,   3, 110836928, 110772792, 110658048, 110401328, 115896544
  1862,  16,  16384,  26934,  21,  14,   3, 116036608, 110257808, 114463056, 114494624, 110024344
  1863,  16,  16384,   6576,  14,  14,   0, 110668496, 109740200, 110805136, 111096336, 111051632
  1864,  16,  16384,  46018,  14,  15,   1, 111345064, 109818088, 110860256, 110895552, 111567584
  1865,  16,  16384,  43298,  15,  15,   0, 111525472, 111368112, 109411288, 111095696, 110620224
  1866,  16,  16384,  48928,  15,  14,   1, 111514128, 111365008, 111391296, 111382328, 110690432
  1867,  16,  16384,   5668,  14,  14,   0, 110984384, 107873528, 106440968, 109780592, 109863784
  1868,  16,  16384,  43243,  14,  15,   1, 110771768, 110873408, 110572000, 111182096, 111531488
  1869,  16,  16384,  39517,  15,  14,   1, 111847288, 110447448, 105483888, 111277944, 109800504
  1870,  16,  16384,   1978,  14,  15,   1, 111190072, 109686992, 110900720, 110998000, 111874480
  1871,  16,  16384,  42537,  15,  14,   1, 111684016, 111475776, 111393896, 111541488, 109809688
  1872,  16,  16384,  41786,  14,  14,   0, 105111480, 110242048, 110403488, 109757824, 110974976
  1873,  16,  16384,  17372,  14,  23,   3, 110845560, 109883752, 110783408, 110822368, 113281456
  1874,  16,  16384,  46782,  23,  19,   2, 111925504, 111899856, 111921952, 113190136, 112120344
  1875,  16,  16384,  34776,  19,  13,   3, 113314912, 113243816, 113036200, 113116720, 113078480
  1876,  16,  16384,  35770,  13,  12,   1, 113088560, 114141568, 114025248, 113893720, 113541624
  1877,  16,  16384,  26660,  12,  12,   0, 113605424, 113770112, 113451656, 112408456, 113724104
  1878,  16,  16384,  10613,  12,  13,   1, 113704440, 113319784, 113498256, 107459672, 114450312
  1879,  16,  16384,  16014,  13,  12,   1, 114265456, 113830320, 112762648, 114068648, 113627840
  1880,  16,  16384,  36823,  12,  13,   1, 112876648, 113623112, 113197048, 113848464, 114461712
  1881,  16,  16384,  36777,  13,   3,   3, 114216528, 113935256, 114096104, 114279192, 111633520
  1882,  16,  16384,  41130,   3,   3,   0, 111351912, 111410736, 111075800, 111352344, 111315824
  1883,  16,  16384,  26472,   3,   4,   2, 105621880, 111016952, 111359400, 110314448, 113671704
  1884,  16,  16384,  12805,   4,   0,   2, 113973848, 113755744, 112205464, 108771312, 113863864
  1885,  16,  16384,  25025,   0,   4,   2, 113658440, 113599880, 113445320, 112586264, 111497264
  1886,  16,  16384,  44309,   4,   4,   0, 114215400, 113824328, 113856696, 113899528, 113871072
  1887,  16,  16384,  46734,   4,   5,   1, 113550264, 113655376, 113691544, 113842016, 114180728
  1888,  16,  16384,  39660,   5,   3,   2, 114210904, 113717720, 114131832, 112737264, 111675168
  1889,  16,  16384,   6895,   3,   2,   1, 111279104, 110352000, 110132584, 105182704, 111071680
  1890,  16,  16384,  40091,   2,  18,   3, 109416584, 109695048, 110573464, 110268048, 112526360
  1891,  16,  16384,  48979,  18,  12,   3, 112592752, 112370448, 112363064, 112574768, 113522592
  1892,  16,  16384,  37946,  12,  12,   0, 113717576, 106721712, 113405688, 112847416, 113840696
  1893,  16,  16384,  23410,  12,  13,   1, 113793384, 113775032, 113611208, 113495160, 113991672
  1894,  16,  16384,  35882,  13,   7,   3, 114042224, 113487176, 112840320, 114132520, 110426720
  1895,  16,  16384,  47752,   7,  11,   2, 111507880, 111288312, 111262600, 111162704, 111543560
  1896,  16,  16384,  22924,  11,  22,   3, 111151384, 110645288, 110632528, 111539904, 111344664
  1897,  16,  16384,  46478,  22,  22,   0, 111370824, 110680240, 112584968, 112591440, 112640712
  1898,  16,  16384,  27951,  22,  22,   0, 111427464, 112214904, 112318272, 112497064, 112749360
  1899,  16,  16384,  10895,  22,  17,   3, 112277688, 111314536, 109899512, 112624192, 110291920
  1900,  16,  16384,  46777,  17,  13,   2, 114710544, 115756536, 114910928, 115254976, 114406256
  1901,  16,  16384,  21494,  13,  12,   1, 112940920, 114155272, 113934704, 114178424, 113695632
  1902,  16,  16384,  11417,  12,  13,   1, 113923488, 113769384, 113869584, 113672944, 107966808
  1903,  16,  16384,  13870,  13,  15,   2, 114435640, 114091384, 112805912, 113963400, 111297536
  1904,  16,  16384,  18166,  15,  15,   0, 110277992, 111787728, 111355584, 111650552, 111461688
  1905,  16,  16384,  44855,  15,  22,   3, 111683280, 110516520, 110548984, 111385800, 112447656
  1906,  16,  16384,  35830,  22,   2,   3, 108864104, 112446520, 112240976, 112452104, 109568952
  1907,  16,  16384,  20881,   2,   1,   2, 108442464, 110669912, 110866952, 110738656, 107892824
  1908,  16,  16384,   9204,   1,  17,   3, 114161688, 112477120, 113985512, 113705464, 116047288
  1909,  16,  16384,  27370,  17,  17,   0, 116013960, 115568696, 115791272, 109801512, 114777608
  1910,  16,  16384,  31068,  17,  16,   1, 114956416, 115561176, 114756904, 116155432, 114674112
  1911,  16,  16384,  34897,  16,  17,   1, 110741488, 115620632, 115230152, 115279960, 115114400
  1912,  16,  16384,  27822,  17,  12,   2, 111024184, 114042856, 115388992, 114629792, 113708984
  1913,  16,  16384,  27491,  12,  14,   2, 112875496, 113757096, 112574592, 113550704, 111117280
  1914,  16,  16384,  11412,  14,   4,   3, 110992240, 110850720, 110659128, 110779920, 109695840
  1915,  16,  16384,  29768,   4,   8,   3, 113969080, 113635536, 113988232, 113502552, 112736304
  1916,  16,  16384,  17818,   8,   6,   2, 107750504, 112260720, 113540136, 112533232, 110169096
  1917,  16,  16384,  33234,   6,   9,   2, 110038808, 110044904, 109933304, 110075832, 113784760
  1918,  16,  16384,  40906,   9,  12,   3, 114158944, 114013464, 114043824, 113930872, 112610736
  1919,  16,  16384,  20965,  12,  12,   0, 113688176, 113682872, 112752656, 113839576, 113523856
  1920,  16,  16384,  25030,  12,  14,   2, 113667096, 113696864, 112158216, 107366376, 111004376
  1921,  16,  16384,  17319,  14,  16,   2, 110959184, 110756064, 110945448, 110946576, 114236064
  1922,  16,  16384,  10293,  16,  17,   1, 115548840, 115621440, 114130456, 115250200, 115830256
  1923,  16,  16384,  30190,  17,  17,   0, 116368408, 115574984, 115961392, 114547576, 111634440
  1924,  16,  16384,  19324,  17,  17,   0, 116126064, 115565176, 113081672, 115499552, 116100000
  1925,  16,  16384,  11742,  17,  16,   1, 116031120, 115862360, 115759568, 115976544, 115754560
  1926,  16,  16384,  13500,  16,   4,   3, 115679920, 115477176, 114241688, 115163168, 113885208
  1927,  16,  16384,  43351,   4,   5,   1, 112680184, 113561384, 113360184, 113289080, 113691264
  1928,  16,  16384,  42221,   5,   4,   1, 114099384, 107717880, 113087016, 113771736, 113937888
  1929,  16,  16384,  26400,   4,  14,   3, 113813168, 112831144, 113423376, 113191200, 110885136
  1930,  16,  16384,  15778,  14,   5,   3, 110886808, 110934192, 110796008, 110871944, 114191552
  1931,  16,  16384,  26880,   5,   0,   2, 112786560, 112439680, 112281032, 113993680, 107485728
  1932,  16,  16384,   8822,   0,   1,   1, 112392160, 113634456, 111925072, 112797160, 114157304
  1933,  16,  16384,  46493,   1,   0,   1, 112946192, 113418448, 112828608, 113739368, 112500344
  1934,  16,  16384,  29993,   0,   0,   0, 113786616, 108968080, 111100088, 113626552, 111101544
  1935,  16,  16384,  44753,   0,   1,   1, 114011744, 113608168, 113400120, 113516496, 112902696
  1936,  16,  16384,  22671,   1,   2,   2, 114229256, 114150576, 113789672, 114256584, 111025376
  1937,  16,  16384,  41745,   2,   9,   3, 109929656, 110860880, 110808504, 110813344, 113158544
  1938,  16,  16384,  14658,   9,   8,   1, 108026472, 113917000, 113864760, 114153040, 112585160
  1939,  16,  16384,  33635,   8,   8,   0, 113590432, 113450008, 111568448, 113637520, 113981824
  1940,  16,  16384,   6961,   8,   8,   0, 113755624, 113631040, 113702896, 112583560, 107800104
  1941,  16,  16384,  40570,   8,   9,   1, 113557080, 113664560, 112510984, 113384216, 114555664
  1942,  16,  16384,  41973,   9,   9,   0, 114077728, 114235088, 113186856, 113208144, 114151584
  1943,  16,  16384,  31096,   9,   7,   2, 114125008, 114030992, 112706600, 114043000, 105462600
  1944,  16,  16384,  20015,   7,  21,   3, 111466904, 108783624, 111332064, 111481248, 115917808
  1945,  16,  16384,  16986,  21,  18,   2, 116106344, 113079656, 115744480, 115888808, 112504528
  1946,  16,  16384,  41031,  18,  18,   0, 112584184, 112469016, 112410320, 110973032, 112684104
  1947,  16,  16384,  43098,  18,   3,   3, 112444128, 112268400, 106611088, 112219048, 111294864
  1948,  16,  16384,   3975,   3,  21,   3, 111362600, 111023048, 111237168, 111299184, 116078848
  1949,  16,  16384,  34819,  21,  21,   0, 116008856, 116285064, 115860848, 109878008, 115541592
  1950,  16,  16384,  14834,  21,  19,   2, 116066888, 114501224, 116052328, 114981008, 112980728
  1951,  16,  16384,  37662,  19,  19,   0, 112184056, 107266032, 111932520, 111918616, 113125640
  1952,  16,  16384,   6063,  19,  14,   3, 111997032, 113348056, 113205672, 113181656, 111076896
  1953,  16,  16384,  24877,  14,  16,   2, 110978832, 104904744, 110576968, 109412160, 115677032
  1954,  16,  16384,  22068,  16,  17,   1, 114050200, 114097960, 115484504, 115341960, 115383808
  1955,  16,  16384,  10861,  17,  16,   1, 114872384, 115768248, 115503440, 115706104, 115499904
  1956,  16,  16384,   6094,  16,  16,   0, 115466992, 115321280, 114172656, 113939616, 115493744
  1957,  16,  16384,  43680,  16,  15,   2, 115598464, 112649944, 115532984, 115431152, 111665672
  1958,  16,  16384,  28675,  15,   6,   3, 111552272, 109345152, 105551144, 111560096, 109615600
  1959,  16,  16384,   9197,   6,   9,   2, 110205152, 110313352, 104331192, 109847568, 113091800
  1960,  16,  16384,  19504,   9,  20,   3, 114280656, 114196128, 114065768, 113991808, 115342240
  1961,  16,  16384,  33375,  20,  22,   2, 114510704, 114071112, 115607560, 115412496, 112401776
  1962,  16,  16384,   9146,  22,  21,   2, 111617104, 110888464, 112543040, 112441608, 115919480
  1963,  16,  16384,  49930,  21,  12,   3, 115898376, 115686240, 116055744, 114530696, 113460776
  1964,  16,  16384,   1506,  12,  12,   0, 106438040, 113615520, 113589960, 113439608, 113687616
  1965,  16,  16384,  10797,  12,   2,   3, 113662456, 113514192, 113476216, 111266448, 111192704
  1966,  16,  16384,  21213,   2,   3,   1, 110960144, 110710480, 110892664, 109827088, 111735136
  1967,  16,  16384,   3751,   3,   2,   1, 111829640, 111331624, 109974336, 109089912, 111063512
  1968,  16,  16384,  24986,   2,   3,   1, 104957616, 110982592, 110561112, 110832656, 111548032
  1969,  16,  16384,  42353,   3,   2,   1, 111382272, 111232016, 111086352, 111454128, 109657488
  1970,  16,  16384,  19831,   2,   3,   1, 110818872, 110782344, 104768816, 110477400, 111266800
  1971,  16,  16384,  10923,   3,  22,   3, 111587776, 111105280, 111258216, 111407152, 112324600
  1972,  16,  16384,  31129,  22,   2,   3, 112643832, 112402664, 106590984, 112171544, 104844824
  1973,  16,  16384,  14700,   2,   3,   1, 110884760, 110615736, 110653856, 110859976, 111451648
  1974,  16,  16384,  19744,   3,   4,   2, 111626040, 111459240, 111048232, 109822168, 108280464
  1975,  16,  16384,  18953,   4,   8,   3, 112161584, 113867632, 113725560, 113729984, 112613608
  1976,  16,  16384,  39696,   8,   3,   3, 114061792, 113736544, 113378056, 113511032, 110487136
  1977,  16,  16384,  44739,   3,   3,   0, 110330176, 105376488, 111578400, 110112032, 111600408
  1978,  16,  16384,    358,   3,   3,   0, 111389256, 111222976, 111553976, 111304744, 111423832
  1979,  16,  16384,  22102,   3,   1,   2, 110589664, 110079240, 111707064, 110247432, 113948184
  1980,  16,  16384,   6156,   1,   0,   1, 107433728, 113988584, 113609912, 113003176, 113532128
  1981,  16,  16384,  11225,   0,   1,   1, 113908296, 113610360, 112591152, 106229192, 113836696
  1982,  16,  16384,  20984,   1,   2,   2, 113267872, 114012784, 114227296, 107959448, 110909360
  1983,  16,  16384,  47324,   2,  11,   3, 111330144, 110904296, 110460488, 110279152, 105359712
  1984,  16,  16384,   6049,  11,   7,   2, 111628752, 109279640, 111408504, 109259120, 111609416
  1985,  16,  16384,  14453,   7,   7,   0, 111623696, 111146792, 111361664, 111013000, 111355536
  1986,  16,  16384,  41206,   7,  11,   2, 111602056, 111304336, 110443424, 111143000, 111461304
  1987,  16,  16384,  17343,  11,  11,   0, 111479392, 109198320, 111429272, 111449744, 111382312
  1988,  16,  16384,  20741,  11,  10,   1, 111627264, 111365440, 110347360, 111417272, 109914160
  1989,  16,  16384,  45504,  10,  10,   0, 111061536, 109722008, 107547096, 107924312, 110640168
  1990,  16,  16384,   7183,  10,   7,   2, 110912320, 110845224, 111015624, 110882648, 111649944
  1991,  16,  16384,  27302,   7,  22,   3, 110274256, 110273064, 111516080, 110267600, 111389272
  1992,  16,  16384,  43989,  22,  23,   1, 112659520, 112521000, 112392848, 112407376, 113154104
  1993,  16,  16384,   6811,  23,  23,   0, 113593160, 112607096, 111286328, 113389024, 111887760
  1994,  16,  16384,  20274,  23,  23,   0, 113034392, 111905624, 112977152, 107613912, 113497336
  1995,  16,  16384,  14211,  23,  20,   2, 113171376, 113028672, 113145408, 113208328, 115617320
  1996,  16,  16384,  40853,  20,  22,   2, 115358648, 109452760, 115449360, 114037200, 112618696
  1997,  16,  16384,  37101,  22,  23,   1, 112453848, 112540480, 112376688, 112236192, 112144040
  1998,  16,  16384,  37885,  23,  16,   3, 112439888, 113221456, 111908696, 112145720, 115560744
  1999,  16,  16384,   1952,  16,  14,   2, 115643144, 115161880, 113831528, 115584928, 110880784
  2000,  16,  16384,  40694,  14,   3,   3, 110838888, 102680760, 110718080, 110017608, 111383808
  2001,  16,  16384,  48283,   3,  22,   3, 111643288, 111336192, 111333256, 110333856, 112810568
  2002,  16,  16384,  18684,  22,   5,   3, 112692240, 112402448, 109714288, 106653592, 113957960
  2003,  16,  16384,   8218,   5,   0,   2, 114159584, 113128224, 113948056, 113960304, 113700512
  2004,  16,  16384,  33199,   0,  23,   3, 111100808, 112692432, 108364160, 112906608, 113072680
  2005,  16,  16384,  46747,  23,  23,   0, 112088968, 113322032, 113452320, 113295320, 113242368
  2006,  16,  16384,  30394,  23,   1,   3, 111974216, 107342616, 113261200, 113183656, 113643784
  2007,  16,  16384,  18277,   1,  18,   3, 112664096, 113793584, 113838712, 112666184, 112654896
  2008,  16,  16384,  20230,  18,  19,   1, 111763488, 112522272, 112398904, 112680240, 113259192
  2009,  16,  16384,  38148,  19,  22,   2, 113151760, 110807400, 113112432, 111975080, 112436296
  2010,  16,  16384,  11107,  22,  23,   1, 112672304, 106647368, 111243792, 112196296, 113601920
  2011,  16,  16384,  41402,  23,  19,   2, 113402160, 113216976, 111961544, 111712072, 112081752
  2012,  16,  16384,  14035,  19,  18,   1, 113389736, 113367992, 113074512, 113141048, 112505304
  2013,  16,  16384,   5026,  18,  18,   0, 112675832, 112367256, 111066584, 111583304, 112506992
  2014,  16,  16384,  41012,  18,  19,   1, 112676408, 111460104, 112441480, 112521096, 113498880
  2015,  16,  16384,   2243,  19,  19,   0, 113323968, 112005456, 113177848, 113092776, 113568280
  2016,  16,  16384,   5610,  19,   9,   3, 112875976, 111162688, 113022656, 106551696, 114478048
  2017,  16,  16384,  16231,   9,   9,   0, 113236024, 114335544, 114012768, 113880880, 114201784
  2018,  16,  16384,  19081,   9,   8,   1, 114210720, 113553368, 110198496, 107808872, 113874096
  2019,  16,  16384,   9353,   8,   7,   2, 113875312, 113698552, 113781720, 113512056, 105333664
  2020,  16,  16384,  10868,   7,   7,   0, 111384768, 111557912, 111481160, 111354232, 110202720
  2021,  16,  16384,  22980,   7,   6,   1, 110226800, 111233584, 110457248, 111383096, 108893040
  2022,  16,  16384,  31758,   6,   6,   0, 110354832, 108918112, 110190616, 109997120, 110027616
  2023,  16,  16384,  32531,   6,   7,   1, 110207032, 110134312, 110004456, 110022000, 111086080
  2024,  16,  16384,  31686,   7,   7,   0, 111361992, 110180296, 111419304, 111426216, 111615160
  2025,  16,  16384,  30068,   7,  11,   2, 111394744, 111193600, 110377232, 110203616, 111560984
  2026,  16,  16384,  25406,  11,   9,   2, 111179968, 110327032, 111169176, 110296440, 114350872
  2027,  16,  16384,  31848,   9,   0,   3, 113919248, 113912264, 113928440, 112976512, 112379616
  2028,  16,  16384,  39183,   0,   2,   2, 113743768, 113564016, 113581976, 113795544, 102712984
  2029,  16,  16384,  35898,   2,  10,   3, 110943216, 109533584, 110702560, 110787376, 111015816
  2030,  16,  16384,  17582,  10,  10,   0, 110994048, 111090448, 110993848, 109879784, 105150192
  2031,  16,  16384,   1947,  10,  15,   3, 110774816, 111043728, 107282768, 110790984, 111965216
  2032,  16,  16384,  41369,  15,  19,   3, 111706592, 111575584, 111784256, 111593200, 113100728
  2033,  16,  16384,  22900,  19,  22,   2, 113537632, 103381272, 112977800, 111843176, 112832584
  2034,  16,  16384,  24856,  22,  22,   0, 112614640, 112200888, 112329736, 112642248, 112427488
  2035,  16,  16384,  21846,  22,  22,   0, 112138344, 112355928, 108728952, 108789768, 112545448
  2036,  16,  16384,  22734,  22,  22,   0, 111138744, 111206776, 112171824, 112243632, 112489840
  2037,  16,  16384,   7477,  22,  23,   1, 112449064, 112452248, 112259016, 112391464, 111942144
  2038,  16,  16384,  41634,  23,  23,   0, 112583408, 111684400, 113285696, 113507912, 113347976
  2039,  16,  16384,   2729,  23,   0,   3, 113236240, 107243776, 113315672, 113094040, 113667592
  2040,  16,  16384,  19740,   0,   1,   1, 113808120, 113463424, 113684048, 112432304, 113923104
  2041,  16,  16384,  18975,   1,  20,   3, 114003816, 114206128, 113108336, 113963544, 115398904
  2042,  16,  16384,  41876,  20,  21,   1, 115447296, 114014512, 115654200, 115444392, 115815464
  2043,  16,  16384,  27530,  21,   1,   3, 116076608, 115529712, 115968496, 114475536, 113990528
  2044,  16,  16384,  17453,   1,   1,   0, 114235696, 112610280, 107747880, 112741168, 113701568
  2045,  16,  16384,   4743,   1,   4,   2, 113980856, 113769984, 114002688, 112787912, 114018784
  2046,  16,  16384,  36057,   4,  13,   3, 112638640, 113872888, 113701768, 114062880, 110897240
  2047,  16,  16384,  46779,  13,  12,   1, 110168672, 113995176, 113900928, 114045440, 107472848
  2048,  16,  16384,   5676,  12,  13,   1, 113628976, 112600960, 113363128, 113621160, 114175824
  2049,  16,  16384,  10984,  13,   2,   3, 113859744, 112539552, 107746136, 114132272, 110774064
  2050,  16,  16384,  19331,   2,   3,   1, 111043512, 110810192, 110480208, 110846760, 111556784
  2051,  16,  16384,   1335,   3,   3,   0, 109166376, 110105232, 105612448, 111498824, 111448120
  2052,  16,  16384,  13205,   3,   2,   1, 111189584, 111409832, 111381344, 111303272, 110594216
  2053,  16,  16384,  31048,   2,   0,   2, 110792688, 110632336, 109537112, 109706672, 113657728
  2054,  16,  16384,   3357,   0,  16,   3, 114000288, 113649752, 113713360, 112171576, 114375168
  2055,  16,  16384,  30233,  16,  16,   0, 115205416, 114007552, 113918672, 115208784, 115458000
  2056,  16,  16384,  35636,  16,  13,   2, 115898112, 114152904, 115465840, 115437616, 114367104
  2057,  16,  16384,  25050,  13,   2,   3, 114181184, 114114112, 111742440, 114378064, 108693240
  2058,  16,  16384,  32947,   2,   3,   1, 109617504, 110686360, 110978208, 109651104, 111632696
  2059,  16,  16384,  39638,   3,   2,   1, 111648776, 111007736, 111458544, 111225768, 110741440
  2060,  16,  16384,  25831,   2,   4,   2, 110842360, 107097904, 110982776, 110614160, 113727800
  2061,  16,  16384,  47889,   4,   1,   2, 113777168, 113962152, 113517264, 113666808, 113521224
  2062,  16,  16384,  13332,   1,   7,   3, 113165112, 113202376, 113399048, 113778288, 105805256
  2063,  16,  16384,  45476,   7,   7,   0, 111384464, 111132672, 111036504, 111015416, 111569704
  2064,  16,  16384,   3800,   7,  10,   2, 111659640, 111378656, 110181200, 110336536, 111146944
  2065,  16,  16384,  19259,  10,  10,   0, 110734128, 110775248, 109824544, 109894352, 110844560
  2066,  16,  16384,  26256,  10,  15,   3, 110913648, 110870864, 110712112, 110763000, 110389792
  2067,  16,  16384,  25152,  15,  14,   1, 105732856, 111358120, 110235136, 111200696, 108825728
  2068,  16,  16384,  46060,  14,  21,   3, 110882752, 111048720, 110927096, 110671856, 115936472
  2069,  16,  16384,  41535,  21,  21,   0, 116176152, 114620480, 114785632, 114398456, 115185832
  2070,  16,  16384,  48907,  21,  20,   1, 115745640, 109938928, 116216640, 115930568, 113101616
  2071,  16,  16384,  27914,  20,  21,   1, 111399192, 115053304, 115510048, 115493256, 116314168
  2072,  16,  16384,  25099,  21,  21,   0, 115933008, 114636160, 115742760, 110153944, 116110200
  2073,  16,  16384,  24867,  21,  20,   1, 115963088, 115966856, 115633704, 115845336, 115591128
  2074,  16,  16384,  19973,  20,  21,   1, 115561088, 115131328, 115452992, 115282720, 116171848
  2075,  16,  16384,  18878,  21,  19,   2, 111104200, 115035472, 115554904, 115850872, 113252808
  2076,  16,  16384,  31042,  19,  18,   1, 106069576, 112662488, 112214904, 112853824, 112588624
  2077,  16,  16384,  33327,  18,  18,   0, 112646272, 111002880, 112554328, 112272816, 112050136
  2078,  16,  16384,  49196,  18,   5,   3, 111601944, 106819856, 112563520, 112481792, 113213488
  2079,  16,  16384,  18693,   5,  20,   3, 113808336, 113997888, 113811376, 113870488, 114701784
  2080,  16,  16384,  36689,  20,   6,   3, 115635000, 109702864, 115271960, 115381912, 110247408
  2081,  16,  16384,   5770,   6,   5,   3, 110353048, 109899496, 110030808, 110312728, 113736896
  2082,  16,  16384,   8467,   5,   4,   1, 113941480, 112936760, 113866504, 112617776, 114014352
  2083,  16,  16384,   6578,   4,   4,   0, 113972184, 113799384, 113623288, 113805000, 113758080
  2084,  16,  16384,  20917,   4,   1,   2, 113607688, 113758008, 105247856, 112499880, 107905016
  2085,  16,  16384,  26474,   1,  20,   3, 112953088, 112818904, 113662472, 113713712, 115311488
  2086,  16,  16384,  38083,  20,   5,   3, 114350912, 115559144, 115508936, 115473920, 112784528
  2087,  16,  16384,  14557,   5,   5,   0, 114033712, 113947600, 111549432, 114067016, 113865592
  2088,  16,  16384,   8794,   5,   5,   0, 114192792, 113687200, 113541824, 114047936, 108197280
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  2090,  16,  16384,  47130,   2,   3,   1, 110951392, 110817440, 110794952, 110649632, 111395976
  2091,  16,  16384,   7123,   3,   2,   1, 110259096, 111290608, 111353216, 111302952, 110747040
  2092,  16,  16384,  37693,   2,   2,   0, 107190776, 110541944, 110922576, 110858624, 110177168
  2093,  16,  16384,  22771,   2,   7,   3, 110559440, 110697392, 104682384, 110763264, 111637008
  2094,  16,  16384,  47622,   7,   7,   0, 111707752, 110137424, 110025984, 105619520, 111582528
  2095,  16,  16384,  44120,   7,  22,   3, 111511920, 111361480, 111061960, 110361872, 112522832
  2096,  16,  16384,  35039,  22,  22,   0, 112703280, 112461344, 111549312, 104913552, 112640032
  2097,  16,  16384,  28041,  22,  20,   2, 112492432, 112528864, 111116312, 112528928, 113683040
  2098,  16,  16384,  46814,  20,  22,   2, 115616264, 115530400, 115395016, 115350208, 106604040
  2099,  16,  16384,  34505,  22,   9,   3, 112548864, 112537400, 112284808, 111058168, 113136544
  2100,  16,  16384,  28834,   9,   9,   0, 114310784, 113897672, 114073248, 113957048, 111749584
  2101,  16,  16384,  17402,   9,   7,   2, 108254808, 112836880, 114197104, 114027000, 111709816
  2102,  16,  16384,  26715,   7,   2,   3, 110600008, 111380416, 111778680, 111507672, 110759752
  2103,  16,  16384,  17342,   2,   3,   1, 110004728, 110528944, 110799960, 109540456, 111521776
  2104,  16,  16384,  45449,   3,   5,   2, 109760992, 106932056, 110151728, 111298224, 113824832
  2105,  16,  16384,  15858,   5,   4,   1, 114155824, 114031304, 113938280, 112703888, 112519616
  2106,  16,  16384,   9265,   4,  16,   3, 114361544, 113587376, 113843912, 113674464, 113446304
  2107,  16,  16384,   1494,  16,  15,   2, 113859720, 114115544, 109544856, 115109264, 111588032
  2108,  16,  16384,  34584,  15,  13,   2, 111358576, 110469856, 111403632, 110300328, 114306736
  2109,  16,  16384,  16381,  13,  13,   0, 112709744, 114159192, 114145504, 114100600, 113968200
  2110,  16,  16384,  11902,  13,  12,   1, 114430672, 114232720, 113184376, 111277416, 113750496
  2111,  16,  16384,  11868,  12,  20,   3, 113546528, 113434496, 113181304, 106752344, 115898736
  2112,  16,  16384,  41625,  20,   2,   3, 114304080, 115374688, 115319208, 113881232, 109541080
  2113,  16,  16384,  34882,   2,   2,   0, 111055136, 110937344, 110772816, 104619928, 110641360
  2114,  16,  16384,  27096,   2,  19,   3, 110738544, 110375520, 109420512, 110643224, 113031224
  2115,  16,  16384,  20925,  19,   4,   3, 106881496, 112248192, 111260504, 113193704, 113825456
  2116,  16,  16384,  15249,   4,   2,   2, 112676160, 109521456, 110714816, 113456728, 110970640
  2117,  16,  16384,  10693,   2,   2,   0, 110939072, 110451024, 108652704, 109199320, 111075576
  2118,  16,  16384,  46222,   2,  22,   3, 111132576, 110895888, 110871152, 104676432, 113065344
  2119,  16,  16384,   6682,  22,  23,   1, 109951136, 112428720, 112366160, 112267208, 111223952
  2120,  16,  16384,  39120,  23,   8,   3, 113291736, 112803904, 112385256, 113329664, 112652208
  2121,  16,  16384,  13057,   8,   6,   2, 114044328, 112514064, 113655448, 113533496, 110118152
  2122,  16,  16384,  47142,   6,   7,   1, 108918832, 108765344, 110014416, 110157792, 110264488
  2123,  16,  16384,  31716,   7,   7,   0, 111575744, 110254056, 111324768, 111188232, 111776904
  2124,  16,  16384,  45915,   7,   6,   1, 111786680, 110124824, 111251640, 105529184, 110058248
  2125,  16,  16384,   1889,   6,   6,   0, 110239376, 110123760, 108679432, 109301392, 110345136
  2126,  16,  16384,  37206,   6,   9,   2, 110477880, 104403904, 110314760, 109663432, 114504336
  2127,  16,  16384,  16676,   9,   8,   1, 112193448, 113857192, 114050960, 114230424, 113904224
  2128,  16,  16384,   2675,   8,   8,   0, 112916432, 113657800, 113561832, 107733960, 113633712
  2129,  16,  16384,  43172,   8,  11,   2, 112612280, 113955824, 113695600, 113561168, 110504864
  2130,  16,  16384,  25373,  11,  12,   3, 111765144, 110416504, 110625192, 111315088, 113601648
  2131,  16,  16384,  35160,  12,  12,   0, 113725296, 112340416, 113428216, 113561480, 113944480
  2132,  16,  16384,  10503,  12,  12,   0, 112584144, 113322240, 112264256, 107615560, 113717768
  2133,  16,  16384,  16945,  12,   5,   3, 112634912, 113338048, 113727376, 113714472, 107926640
  2134,  16,  16384,  26328,   5,  20,   3, 113620984, 112321976, 113855936, 113799280, 114500728
  2135,  16,  16384,  37568,  20,  19,   2, 114254872, 115187112, 115187480, 109464088, 113462960
  2136,  16,  16384,  19790,  19,  20,   2, 113239472, 113513848, 113435368, 113337664, 115468584
  2137,  16,  16384,  12960,  20,  21,   1, 114519392, 115146912, 114134760, 115209816, 116255016
  2138,  16,  16384,  42633,  21,  23,   2, 116003624, 115702248, 107267432, 115827432, 113169104
  2139,  16,  16384,  34879,  23,   0,   3, 112127672, 111992656, 113603360, 113252504, 113659704
  2140,  16,  16384,   7447,   0,   1,   1, 113608312, 112023304, 113670296, 106350064, 112783776
  2141,  16,  16384,  20842,   1,   5,   2, 106816144, 113930424, 113966032, 114153672, 114279776
  2142,  16,  16384,  30643,   5,   4,   1, 112865752, 114072896, 114032976, 114050384, 112987432
  2143,  16,  16384,  10232,   4,  23,   3, 113600016, 112619280, 113554904, 113504160, 113576640
  2144,  16,  16384,   2782,  23,  12,   3, 113613968, 113258280, 110610528, 113346272, 113514328
  2145,  16,  16384,  13847,  12,  14,   2, 111438968, 113949120, 113858096, 113670928, 109943424
  2146,  16,  16384,  27592,  14,  15,   1, 110770704, 110749872, 104399440, 109701896, 110580952
  2147,  16,  16384,  42199,  15,  15,   0, 112065896, 111572320, 110683048, 111544704, 110185008
  2148,  16,  16384,  41128,  15,  15,   0, 111621776, 103291600, 111328656, 111391088, 111607888
  2149,  16,  16384,    801,  15,   2,   3, 110573576, 111776264, 111502864, 111201448, 110713312
  2150,  16,  16384,  40458,   2,   0,   2, 110840184, 104823872, 109620752, 110584736, 107623408
  2151,  16,  16384,  16420,   0,  14,   3, 113633112, 112558624, 113983296, 113534352, 109297584
  2152,  16,  16384,   5043,  14,  13,   2, 111038272, 110936816, 110080336, 110708832, 113729016
  2153,  16,  16384,  49472,  13,  17,   2, 113727088, 113948896, 113129360, 114058992, 112518536
  2154,  16,  16384,  30651,  17,   5,   3, 114746872, 116021320, 115700208, 115755768, 113084592
  2155,  16,  16384,  39677,   5,   4,   1, 114116424, 107749256, 114056560, 113755376, 113658752
  2156,  16,  16384,  40143,   4,   0,   2, 113747328, 113786384, 113847336, 113328184, 113563808
  2157,  16,  16384,  46731,   0,   0,   0, 113588176, 113061040, 111660968, 113843920, 112629848
  2158,  16,  16384,  39040,   0,   1,   1, 113971440, 113683016, 113646600, 113492920, 114074848
  2159,  16,  16384,   6015,   1,   0,   1, 113837440, 112913552, 113901032, 113856064, 114010296
  2160,  16,  16384,   1163,   0,  16,   3, 113704680, 112741760, 113416040, 113821112, 115508584
  2161,  16,  16384,  38423,  16,  12,   2, 115852432, 114444776, 115416024, 115560440, 113885704
  2162,  16,  16384,  15824,  12,  12,   0, 113642880, 111534512, 112383216, 113433056, 113740344
  2163,  16,  16384,  27541,  12,  13,   1, 113628344, 113367664, 113511936, 112423696, 114010168
  2164,  16,  16384,  38563,  13,  13,   0, 114121520, 114087408, 113942744, 114078344, 112039168
  2165,  16,  16384,  11653,  13,  15,   2, 114364056, 113534392, 112208608, 113799096, 105141904
  2166,  16,  16384,  15842,  15,   7,   3, 111830440, 111614280, 110679672, 111515448, 111399112
  2167,  16,  16384,   4264,   7,   6,   1, 111531696, 111403056, 111239160, 111287048, 110102360
  2168,  16,  16384,  22732,   6,   7,   1, 110566160, 109662256, 107955256, 109984648, 105523840
  2169,  16,  16384,  28332,   7,   6,   1, 111537536, 111459032, 111090672, 111401816, 107981360
  2170,  16,  16384,  42307,   6,   6,   0, 110216800, 109776248, 110005432, 109968208, 110143192
  2171,  16,  16384,  44598,   6,  11,   2, 110448016, 110291984, 109983264, 109283752, 110117832
  2172,  16,  16384,   2966,  11,   1,   3, 111671064, 111415016, 104533264, 111239720, 114061840
  2173,  16,  16384,  30439,   1,   3,   2, 114057384, 112490312, 114048248, 113969528, 110107760
  2174,  16,  16384,   8914,   3,   2,   1, 111495752, 105386648, 111408968, 111651792, 105258312
  2175,  16,  16384,  13698,   2,   2,   0, 110719416, 110898696, 107912312, 110873624, 110813936
  2176,  16,  16384,  27312,   2,  21,   3, 110797984, 109751536, 110771688, 110780224, 108922800
  2177,  16,  16384,    848,  21,  21,   0, 116162368, 115723112, 114344296, 115785512, 116109696
  2178,  16,  16384,   6904,  21,  16,   3, 114674392, 116058728, 115890736, 115770320, 114249720
  2179,  16,  16384,  18375,  16,   9,   3, 115822248, 115288576, 115222960, 115345632, 113248648
  2180,  16,  16384,  24870,   9,   9,   0, 114370520, 114242000, 114117400, 114194456, 114232272
  2181,  16,  16384,  21461,   9,  18,   3, 114079208, 114060184, 108035456, 113994840, 111704680
  2182,  16,  16384,  27970,  18,  18,   0, 111790024, 111105640, 106505216, 112190544, 112552224
  2183,  16,  16384,   2321,  18,  19,   1, 110937256, 112110648, 110835296, 112278512, 111674232
  2184,  16,  16384,  18895,  19,  19,   0, 113416672, 113125496, 112738232, 113190672, 107061856
  2185,  16,  16384,  13207,  19,  20,   2, 113000992, 112548432, 111659792, 113040952, 114479968
  2186,  16,  16384,  20502,  20,  20,   0, 115864016, 115685896, 115492384, 115725552, 113000208
  2187,  16,  16384,  20901,  20,  20,   0, 109844424, 115506344, 115577208, 115590048, 114595136
  2188,  16,  16384,   2889,  20,  21,   1, 115748368, 114267216, 115441680, 115435048, 115775424
  2189,  16,  16384,  31536,  21,  22,   2, 113676488, 110027816, 115908840, 115851408, 112262544
  2190,  16,  16384,  43859,  22,  22,   0, 112738376, 105557648, 112400296, 112536648, 112409936
  2191,  16,  16384,   2062,  22,  23,   1, 111089024, 112640312, 111145520, 112406920, 112934776
  2192,  16,  16384,  46572,  23,  12,   3, 111851680, 112900616, 110360672, 113071392, 114026640
  2193,  16,  16384,  36656,  12,  16,   2, 113842976, 112693112, 113700688, 113491808, 115878880
  2194,  16,  16384,  36430,  16,  13,   2, 115636920, 115581272, 115657648, 113668896, 114114368
  2195,  16,  16384,  30587,  13,   8,   3, 114311672, 113235536, 114036680, 112879288, 113046352
  2196,  16,  16384,  41729,   8,   9,   1, 113748400, 113699472, 113832616, 113467776, 114081496
  2197,  16,  16384,  24152,   9,   8,   1, 114164112, 114126856, 113021752, 114324976, 112615808
  2198,  16,  16384,  29669,   8,  22,   3, 113826448, 112754232, 113961984, 113794896, 112537752
  2199,  16,  16384,  10255,  22,   7,   3, 105835704, 112201184, 112189536, 112455248, 111253824
  2200,  16,  16384,   1983,   7,   6,   1, 111296432, 111421640, 111269552, 110461712, 110394368
  2201,  16,  16384,  37695,   6,   3,   3, 108799776, 109964600, 110192160, 103100568, 104025936
  2202,  16,  16384,  20766,   3,   3,   0, 110984504, 111026928, 111229368, 111195808, 111255960
  2203,  16,  16384,  22813,   3,   2,   1, 110016848, 110956600, 111049448, 110959104, 109339208
  2204,  16,  16384,  15596,   2,   1,   2, 110448904, 110693120, 110568496, 110622072, 114155200
  2205,  16,  16384,  15601,   1,   2,   2, 112645440, 113996376, 112571096, 113972936, 109239048
  2206,  16,  16384,  35684,   2,  14,   3, 110779424, 110675776, 109526400, 110522528, 111018512
  2207,  16,  16384,   9249,  14,  14,   0, 110828776, 104807152, 110959776, 110695832, 110701344
  2208,  16,  16384,  30238,  14,  12,   2, 108856040, 110504888, 110031704, 110865200, 113667888
  2209,  16,  16384,  43530,  12,  13,   1, 114142608, 112655936, 113874136, 113648488, 114217184
  2210,  16,  16384,  25669,  13,  12,   1, 112126816, 114194328, 110502384, 111411256, 114105704
  2211,  16,  16384,  36570,  12,  14,   2, 113790568, 113710936, 112729688, 113325160, 111146952
  2212,  16,  16384,  24533,  14,  17,   2, 110984488, 110682144, 109634520, 109760432, 115619544
  2213,  16,  16384,  43704,  17,  16,   1, 110408152, 115984136, 114676032, 115777624, 115397568
  2214,  16,  16384,  40780,  16,   3,   3, 115750968, 115379880, 107306544, 115473288, 111253520
  2215,  16,  16384,  13495,   3,   2,   1, 105078008, 109094192, 111186264, 110087552, 110930592
  2216,  16,  16384,  20476,   2,  15,   3, 110108544, 110144592, 110783440, 110826096, 110586736
  2217,  16,  16384,  29573,  15,  16,   2, 111447128, 111102064, 111557888, 110222192, 115832472
  2218,  16,  16384,    854,  16,  14,   2, 115715240, 115481760, 115718792, 115503960, 110924824
  2219,  16,  16384,  16265,  14,   3,   3, 110912840, 109774080, 110620072, 109968024, 105260016
  2220,  16,  16384,  49646,   3,   4,   2, 110867864, 110382672, 109839200, 110048872, 114123528
  2221,  16,  16384,  36383,   4,   5,   1, 114060752, 113650624, 114154600, 111381336, 114201840
  2222,  16,  16384,  31629,   5,   3,   2, 114064600, 112738040, 113846088, 112903232, 111541000
  2223,  16,  16384,  47995,   3,   2,   1, 111189992, 110448600, 111171240, 111427712, 110567552
  2224,  16,  16384,   8521,   2,  21,   3, 109514824, 109441368, 110725240, 109478896, 110179792
  2225,  16,  16384,  16186,  21,   7,   3, 115980440, 115633064, 114745408, 115825992, 111201944
  2226,  16,  16384,  15082,   7,  13,   3, 111478176, 111441128, 111077504, 111388656, 114104896
  2227,  16,  16384,  17660,  13,  14,   2, 114243784, 113937776, 112727000, 114090552, 110212216
  2228,  16,  16384,  28980,  14,   5,   3, 111012944, 109689368, 110859760, 110595080, 113468336
  2229,  16,  16384,  22145,   5,   0,   2, 114140880, 113944624, 114051848, 112786624, 113885480
  2230,  16,  16384,  49945,   0,   1,   1, 113933936, 113663392, 113619688, 113021392, 108034528
  2231,  16,  16384,  46951,   1,   1,   0, 113307176, 113949752, 113758976, 113825536, 112775856
  2232,  16,  16384,  32719,   1,   4,   2, 112793984, 114004032, 114002640, 112658240, 113065984
  2233,  16,  16384,  28234,   4,   5,   1, 112949584, 113842512, 114086336, 113666200, 114240176
  2234,  16,  16384,  12276,   5,   4,   1, 113149328, 113801432, 106696640, 113772952, 113647264
  2235,  16,  16384,   5423,   4,   4,   0, 112685024, 112529448, 112644312, 113881536, 114210728
  2236,  16,  16384,  16375,   4,   5,   1, 113936480, 113594640, 112490680, 113862544, 105379008
  2237,  16,  16384,  35128,   5,   5,   0, 114071048, 114147088, 112799408, 113895248, 113544608
  2238,  16,  16384,  19235,   5,  17,   3, 113224288, 114039384, 114149248, 114238728, 115007704
  2239,  16,  16384,  11881,  17,  14,   2, 116169040, 115895808, 114590760, 115686392, 110087432
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  2393,  16,  16384,  46851,   6,  21,   3, 110184824, 104248664, 109994176, 108794832, 114753376
  2394,  16,  16384,   7713,  21,  22,   2, 115471416, 107937312, 115923656, 115896064, 112448200
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  2402,  16,  16384,  11431,   9,   8,   1, 107966968, 114091112, 113918568, 113773432, 113756744
  2403,  16,  16384,  37828,   8,  11,   2, 113873432, 113661624, 113749616, 112515680, 111529904
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  2537,  16,  16384,    719,   4,   5,   1, 112321704, 113769704, 113821928, 113509864, 114030880
  2538,  16,  16384,   3479,   5,   3,   2, 114120008, 112967208, 114015600, 111628904, 111536808
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  2550,  16,  16384,  17599,   8,   8,   0, 113634896, 113511664, 113770216, 113263832, 112826168
  2551,  16,  16384,  20279,   8,   8,   0, 114019312, 113649808, 113771200, 113513400, 112349576
  2552,  16,  16384,  37813,   8,  13,   3, 113296584, 106647352, 113596400, 113809424, 114046360
  2553,  16,  16384,  29247,  13,  12,   1, 114094016, 113316552, 114251288, 114283816, 113550648
  2554,  16,  16384,   2755,  12,   4,   3, 113748392, 111406584, 113512592, 112533568, 113840928
  2555,  16,  16384,  43075,   4,   4,   0, 113685048, 113850416, 112405720, 114020208, 113902000
  2556,  16,  16384,  22662,   4,   4,   0, 112738544, 113840536, 113945256, 113663768, 112678480
  2557,  16,  16384,  42475,   4,   5,   1, 112650624, 113655272, 113754248, 113789304, 114141728
  2558,  16,  16384,  43914,   5,   4,   1, 114368224, 113927440, 113003064, 114098104, 113758952
  2559,  16,  16384,  34857,   4,   6,   3, 106534528, 113697856, 112653512, 113764688, 108925256
  2560,  16,  16384,  31257,   6,   6,   0, 110338208, 110244752, 110052832, 110156304, 110298720
  2561,  16,  16384,  29257,   6,  10,   2, 109094688, 110109000, 108789168, 110214592, 111090144
  2562,  16,  16384,  46989,  10,   8,   2, 110705288, 109809744, 109754024, 110946624, 114008088
  2563,  16,  16384,  25306,   8,   7,   2, 113956024, 113660880, 113765224, 110328064, 109124808
  2564,  16,  16384,  14018,   7,   7,   0, 111507416, 111360856, 111301760, 106360264, 111265088
  2565,  16,  16384,  11249,   7,  11,   2, 111490704, 111356376, 111490512, 111573376, 111582608
  2566,  16,  16384,   6232,  11,  10,   1, 106151936, 108704432, 111160816, 110867232, 110017304
  2567,  16,  16384,   2525,  10,  18,   3, 109717120, 111025744, 109677096, 110859080, 112391056
  2568,  16,  16384,  47913,  18,  16,   3, 112857904, 107256352, 109185560, 111102568, 115560488
  2569,  16,  16384,  36055,  16,  19,   3, 115677928, 114147520, 115281592, 115402048, 113444792
  2570,  16,  16384,  14225,  19,  22,   2, 113439424, 113242264, 113228456, 111596000, 112489816
  2571,  16,  16384,  15638,  22,  23,   1, 112378648, 112536456, 112462744, 111184344, 112034528
  2572,  16,  16384,  40893,  23,  23,   0, 107697552, 113320592, 113374768, 113339664, 111860344
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  2719,  16,  16384,  28236,   1,   3,   2, 112896376, 114118184, 113876144, 107835496, 110123280
  2720,  16,  16384,   2689,   3,   3,   0, 111659424, 111255440, 111472992, 111765392, 109728024
  2721,  16,  16384,   7807,   3,   2,   1, 110851568, 105207624, 111502480, 111049224, 110701584
  2722,  16,  16384,    673,   2,   3,   1, 110041416, 109592064, 104649152, 110733584, 111403672
  2723,  16,  16384,  19279,   3,   3,   0, 111663296, 111271856, 109727176, 110500912, 106175296
  2724,  16,  16384,   7613,   3,  13,   3, 111439648, 111284648, 110306272, 111332072, 107935768
  2725,  16,  16384,  38662,  13,  12,   1, 114339400, 113965080, 113822296, 111733808, 113600624
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  2732,  16,  16384,  45405,  19,  18,   1, 113474904, 112999760, 111719352, 113163536, 112385064
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  2734,  16,  16384,  29347,  19,  17,   3, 111391936, 109553280, 113290392, 111969584, 115930880
  2735,  16,  16384,  48782,  17,   4,   3, 115757984, 115989416, 114485296, 115879976, 113935088
  2736,  16,  16384,   6876,   4,   5,   1, 112193944, 113848384, 113653816, 113857960, 113774232
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  2905,  16,  16384,  36367,  18,   0,   3, 112515584, 112297960, 111054496, 112421512, 113668760
  2906,  16,  16384,   8595,   0,   2,   2, 107652024, 110963560, 113571464, 112575368, 104993376
  2907,  16,  16384,  35459,   2,   2,   0, 109539784, 110648840, 109621800, 109785552, 110977400
  2908,  16,  16384,  14986,   2,   5,   2, 110889096, 110600120, 110724368, 110603440, 113761656
  2909,  16,  16384,  15445,   5,   6,   3, 114323136, 113970328, 113915224, 114049832, 110242904
  2910,  16,  16384,  17069,   6,   6,   0, 109240304, 109901880, 110287856, 110267104, 110049008
  2911,  16,  16384,  37246,   6,   1,   3, 110062416, 108507632, 104401464, 110097792, 114005128
  2912,  16,  16384,  38867,   1,  13,   3, 114108464, 106965264, 112592688, 114337872, 114321528
  2913,  16,  16384,  29103,  13,  18,   3, 110747216, 109342352, 114009544, 114095536, 112415944
  2914,  16,  16384,  36144,  18,  21,   2, 111042600, 112252840, 112439008, 111093112, 115823416
  2915,  16,  16384,  25330,  21,  19,   2, 115910088, 115644104, 113299736, 109955016, 109790080
  2916,  16,  16384,   6867,  19,   1,   3, 113296312, 113143176, 113147704, 112925736, 108139632
  2917,  16,  16384,  22313,   1,   7,   3, 114024808, 114027856, 113744688, 113893752, 111320064
  2918,  16,  16384,  39382,   7,   7,   0, 111408000, 108998272, 111610768, 111572480, 111733176
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  2920,  16,  16384,   9248,   9,   8,   1, 114223472, 108167192, 111877648, 114033048, 113917768
  2921,  16,  16384,   7097,   8,   9,   1, 112547488, 113682464, 113677376, 113897576, 113477912
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  2923,  16,  16384,  29135,   0,   4,   2, 113581344, 113784376, 112435664, 113665088, 114029072
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  2925,  16,  16384,  46161,   2,   0,   2, 109786640, 110793352, 110709600, 109829992, 113782184
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  2927,  16,  16384,  14616,   5,  12,   3, 113120568, 113804280, 111611568, 114147000, 112661360
  2928,  16,  16384,   4554,  12,  17,   2, 107935904, 113820624, 113991480, 113759304, 115065208
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  2930,  16,  16384,   8874,  17,  17,   0, 110337280, 115387592, 115984384, 115755432, 116166888
  2931,  16,  16384,  45151,  17,  16,   1, 114837200, 114484488, 115714472, 114525056, 115546936
  2932,  16,  16384,  10194,  16,  17,   1, 114534568, 114197856, 114305104, 113990320, 116147776
  2933,  16,  16384,  22887,  17,  15,   2, 116010216, 114351568, 116059288, 114599288, 105626616
  2934,  16,  16384,  48744,  15,  18,   3, 111549840, 111609056, 111451320, 111539992, 112561512
  2935,  16,  16384,  47740,  18,  23,   2, 112726784, 112547968, 112220816, 111459728, 113079760
  2936,  16,  16384,  17356,  23,   8,   3, 112159568, 113115440, 113152400, 113080800, 112627560
  2937,  16,  16384,   7895,   8,   8,   0, 113860840, 113965904, 112650344, 113582808, 113845472
  2938,  16,  16384,  35665,   8,  20,   3, 113970104, 112477496, 113820712, 113529800, 113169864
  2939,  16,  16384,  18133,  20,  22,   2, 115432416, 112840064, 115249336, 115389960, 111678320
  2940,  16,  16384,  19354,  22,  18,   2, 112207960, 112742536, 111350784, 112621488, 111209312
  2941,  16,  16384,  13412,  18,  13,   3, 112414800, 112220264, 111149504, 106554192, 113227208
  2942,  16,  16384,  41659,  13,  14,   2, 114098632, 113154840, 114189432, 108166752, 111313712
  2943,  16,  16384,  25533,  14,  11,   3, 111024688, 110685808, 110993720, 110736536, 111696296
  2944,  16,  16384,   7355,  11,   7,   2, 110758504, 110630688, 111537816, 111717184, 111780184
  2945,  16,  16384,  36316,   7,   9,   2, 111662952, 111220352, 111175528, 111439680, 114185120
  2946,  16,  16384,  21402,   9,  20,   3, 114296656, 113057408, 108460792, 112089704, 109668064
  2947,  16,  16384,  25515,  20,  20,   0, 115562104, 115405720, 115283384, 115587976, 115449288
  2948,  16,  16384,    686,  20,  21,   1, 112879528, 114725408, 114548472, 114366184, 116234600
  2949,  16,  16384,  23047,  21,  17,   3, 114499696, 115716528, 115663056, 114689144, 109985448
  2950,  16,  16384,    840,  17,   7,   3, 116269600, 116000368, 114449360, 115910888, 111311792
  2951,  16,  16384,  26374,   7,  10,   2, 111368032, 111466544, 110139600, 111375520, 110959472
  2952,  16,  16384,   7793,  10,  11,   1, 111102224, 110952048, 110990680, 110790768, 103661184
  2953,  16,  16384,  27283,  11,   0,   3, 111759792, 111383024, 111456088, 111634568, 113830664
  2954,  16,  16384,   1120,   0,   1,   1, 113527784, 112118600, 113355056, 113782144, 112936784
  2955,  16,  16384,  17374,   1,   1,   0, 114303800, 112704384, 114018464, 114051608, 113234656
  2956,  16,  16384,  21678,   1,   1,   0, 114093504, 113840080, 114057864, 113906928, 108068584
  2957,  16,  16384,  31910,   1,   5,   2, 113776912, 114148984, 112794120, 112723200, 114146336
  2958,  16,  16384,   8334,   5,  19,   3, 114252400, 111974688, 114101160, 114262680, 113624568
  2959,  16,  16384,   6495,  19,  18,   1, 113339552, 113324536, 111939792, 111690504, 109976648
  2960,  16,  16384,  29894,  18,  23,   2, 106665744, 112007736, 112418096, 111146472, 113555536
  2961,  16,  16384,  10482,  23,   5,   3, 113501776, 113322312, 113074352, 113320160, 114032792
  2962,  16,  16384,  18817,   5,   0,   2, 113943808, 111861416, 113821672, 114029384, 113730576
  2963,  16,  16384,  25312,   0,  22,   3, 113471880, 113497360, 113444456, 113538848, 111092232
  2964,  16,  16384,  13261,  22,  23,   1, 112654928, 112489992, 109879024, 112664184, 113371096
  2965,  16,  16384,   7464,  23,  23,   0, 112190848, 113039912, 113093176, 113027824, 113183232
  2966,  16,  16384,    860,  23,  20,   2, 113334048, 113363128, 111901240, 112260792, 115447360
  2967,  16,  16384,  15977,  20,  18,   2, 114907480, 115052328, 114310968, 115497592, 112526136
  2968,  16,  16384,  33766,  18,  16,   3, 106738352, 112593656, 112273008, 111131984, 115619304
  2969,  16,  16384,  25042,  16,  19,   3, 113995984, 114013840, 115434872, 115245392, 113590328
  2970,  16,  16384,  41132,  19,  13,   3, 113585792, 113036520, 113073240, 113120024, 114075928
  2971,  16,  16384,  42636,  13,  13,   0, 114260992, 113789880, 109701856, 111234696, 113998920
  2972,  16,  16384,  11565,  13,  19,   3, 114419112, 113994792, 111799120, 113001176, 113389136
  2973,  16,  16384,  24529,  19,  13,   3, 112077768, 112086544, 111962880, 113050944, 108251264
  2974,  16,  16384,  49777,  13,  14,   2, 113085232, 114185904, 113956864, 114332688, 104957152
  2975,  16,  16384,  14711,  14,  12,   2, 111191392, 110722248, 110820384, 110780032, 113415264
  2976,  16,  16384,  11193,  12,  13,   1, 113674720, 113478504, 111936728, 112921920, 114319408
  2977,  16,  16384,  23813,  13,  16,   2, 113175496, 111688720, 114239056, 114118080, 115456832
  2978,  16,  16384,  39308,  16,  17,   1, 114457632, 115293968, 115305256, 115344512, 116137928
  2979,  16,  16384,   7512,  17,  12,   2, 116061608, 114882152, 114447168, 115881464, 112482176
  2980,  16,  16384,  43980,  12,   7,   3, 113513600, 113571816, 107593512, 113725776, 111737680
  2981,  16,  16384,  47579,   7,   6,   1, 110253480, 111375976, 111482768, 111578920, 110478200
  2982,  16,  16384,  27719,   6,   7,   1, 110401528, 110112376, 107609888, 105358608, 111194152
  2983,  16,  16384,  25237,   7,  10,   2, 110642848, 111466200, 110223552, 111318320, 111051432
  2984,  16,  16384,  36035,  10,  11,   1, 111367248, 110879520, 110898064, 110859648, 111554320
  2985,  16,  16384,  21802,  11,  11,   0, 111978816, 111405984, 111397288, 111313512, 111836624
  2986,  16,  16384,   9622,  11,  10,   1, 111822520, 111639952, 111377960, 110563520, 110693504
  2987,  16,  16384,  37221,  10,  10,   0, 110942776, 108372896, 110814560, 104863544, 110969056
  2988,  16,  16384,  45194,  10,  10,   0, 110862032, 109699384, 109712688, 110922560, 111212072
  2989,  16,  16384,  12851,  10,  10,   0, 110955664, 111048920, 110555880, 109131144, 110931608
  2990,  16,  16384,  32922,  10,  11,   1, 104880376, 110799792, 111049848, 109916272, 111470960
  2991,  16,  16384,  48234,  11,   6,   2, 110155472, 111571256, 110409608, 105383240, 103169632
  2992,  16,  16384,  44944,   6,   7,   1, 110376184, 109998392, 109156376, 108811552, 111433232
  2993,  16,  16384,  19297,   7,   9,   2, 111571752, 105069256, 111601616, 110039744, 114054920
  2994,  16,  16384,  26098,   9,   6,   2, 113103152, 113928480, 114023544, 113803608, 108764296
  2995,  16,  16384,  24147,   6,   7,   1, 110402152, 110213472, 108914664, 109985728, 110238440
  2996,  16,  16384,  17063,   7,   8,   2, 110314856, 111263624, 111347856, 111204416, 112525032
  2997,  16,  16384,  24942,   8,   9,   1, 113969240, 113731088, 113415488, 113403936, 114089592
  2998,  16,  16384,  13097,   9,  11,   2, 114390384, 108021320, 113892616, 114032328, 111659984
  2999,  16,  16384,  16777,  11,  17,   3, 111498176, 111592744, 111403008, 111384552, 116182824
  3000,  16,  16384,   4958,  17,  17,   0, 116147448, 115858752, 115743896, 115965528, 113911416
  3001,  16,  16384,  44240,  17,  14,   2, 116012000, 116135376, 115818928, 115722688, 110999168
  3002,  16,  16384,  18174,  14,  15,   1, 110851928, 110146872, 110487056, 110732120, 111478296
  3003,  16,  16384,   4306,  15,  15,   0, 109171008, 111415728, 111552280, 111547288, 111792224
  3004,  16,  16384,  42243,  15,  13,   2, 111501920, 111786240, 111450448, 110427216, 114540864
  3005,  16,  16384,  16540,  13,  12,   1, 114327488, 114058040, 106956800, 113713880, 108047304
  3006,  16,  16384,  36993,  12,  13,   1, 111983816, 113842872, 113660480, 113428376, 113646912
  3007,  16,  16384,  21899,  13,  13,   0, 113744072, 113947168, 114031992, 113930200, 106768000
  3008,  16,  16384,  12864,  13,  13,   0, 114150224, 113990464, 113968096, 112973168, 112994560
  3009,  16,  16384,  13521,  13,  20,   3, 114340288, 113933360, 114016640, 113110992, 115467408
  3010,  16,  16384,  35780,  20,  20,   0, 115574416, 113987512, 115210800, 112586288, 115610592
  3011,  16,  16384,  27114,  20,   3,   3, 115663656, 115244056, 115142704, 113929112, 107635512
  3012,  16,  16384,  48408,   3,   4,   2, 109211568, 110016312, 111281760, 110969544, 112929840
  3013,  16,  16384,  33227,   4,   5,   1, 113706864, 114123704, 113807832, 113687704, 114242152
  3014,  16,  16384,  19683,   5,  15,   3, 112934864, 114136568, 113900512, 114042400, 111703384
  3015,  16,  16384,   3866,  15,  14,   1, 111530696, 111751664, 111531632, 111389096, 110907872
  3016,  16,  16384,  19430,  14,  14,   0, 111048840, 110721144, 110972616, 110769648, 109007680
  3017,  16,  16384,  21837,  14,   6,   3, 105879624, 109201592, 110787840, 111087392, 110002488
  3018,  16,  16384,  41521,   6,  12,   3, 110011920, 108863416, 109901768, 110069456, 113838664
  3019,  16,  16384,  24067,  12,   0,   3, 113770608, 112446128, 113458608, 113715216, 113260392
  3020,  16,  16384,  45956,   0,  14,   3, 113986696, 112458272, 113609240, 113621088, 111257976
  3021,  16,  16384,  17960,  14,  15,   1, 111041616, 110794368, 110898120, 108544152, 111586944
  3022,  16,  16384,   7995,  15,  15,   0, 111610104, 111215688, 111387888, 107149008, 110894176
  3023,  16,  16384,  36794,  15,   8,   3, 111640064, 108979792, 111695168, 111345112, 111224008
  3024,  16,  16384,  45622,   8,   8,   0, 113847184, 113675672, 113475008, 113290464, 113793048
  3025,  16,  16384,  24770,   8,   9,   1, 113464160, 113706768, 112609176, 112493304, 114401472
  3026,  16,  16384,  38861,   9,   3,   3, 114117608, 113926720, 112912416, 114081848, 111485608
  3027,  16,  16384,  33350,   3,   3,   0, 110894448, 108399320, 106679200, 109932880, 111564304
  3028,  16,  16384,   2777,   3,   4,   2, 111649048, 110096216, 111456856, 111318112, 113962728
  3029,  16,  16384,  38047,   4,   5,   1, 114041664, 113703536, 112743312, 112991736, 114091432
  3030,  16,  16384,  46986,   5,   3,   2, 113944048, 112834432, 114163520, 114019032, 111934576
  3031,  16,  16384,  20648,   3,   5,   2, 111492544, 111660152, 111187768, 110164176, 113743640
  3032,  16,  16384,   3026,   5,  19,   3, 114001216, 113982376, 113994128, 112829288, 113383776
  3033,  16,  16384,  31973,  19,  18,   1, 113250024, 113619096, 113418360, 113444080, 106806112
  3034,  16,  16384,  30237,  18,  18,   0, 112564256, 112226696, 112259816, 112623456, 111032040
  3035,  16,  16384,  47996,  18,  19,   1, 111748736, 112434160, 110008136, 112408624, 113204928
  3036,  16,  16384,   4104,  19,  18,   1, 112928320, 110560224, 112881240, 106244848, 112572096
  3037,  16,  16384,  39653,  18,   4,   3, 111194920, 110986768, 112457472, 110990952, 114136408
  3038,  16,  16384,  27040,   4,   1,   2, 113629104, 112701568, 114219968, 114110832, 114128720
  3039,  16,  16384,   6667,   1,   2,   2, 113985536, 113869904, 112796624, 113883888, 100724024
  3040,  16,  16384,   6178,   2,   2,   0, 110918280, 110845080, 110645896, 110659840, 110779920
  3041,  16,  16384,  37399,   2,  23,   3, 110732128, 109540488, 110896504, 110642976, 113388496
  3042,  16,  16384,  41503,  23,  23,   0, 113150680, 113216960, 113271256, 113516920, 112716360
  3043,  16,  16384,  20001,  23,  23,   0, 111382352, 112084064, 111854848, 113315912, 113540896
  3044,  16,  16384,  29658,  23,  23,   0, 107803848, 113301728, 113096528, 113016552, 113788520
  3045,  16,  16384,  45317,  23,  21,   2, 113465024, 112963056, 110260664, 112621376, 116128480
  3046,  16,  16384,  33009,  21,  20,   1, 116214264, 115804280, 115877144, 115559976, 110284592
  3047,  16,  16384,  19317,  20,   5,   3, 115579680, 114354992, 114261480, 115271856, 107872696
  3048,  16,  16384,   1487,   5,   4,   1, 114004552, 113656224, 113768200, 113913480, 107846912
  3049,  16,  16384,  27952,   4,  19,   3, 113897224, 113789176, 111321648, 112658984, 112086952
  3050,  16,  16384,  29813,  19,   5,   3, 111212672, 112600032, 113361400, 112988288, 114008568
  3051,  16,  16384,  20871,   5,   1,   2, 114247528, 113754088, 114021192, 113925296, 112670592
  3052,  16,  16384,  15559,   1,   6,   3, 111866936, 112698016, 114007976, 114216016, 110156600
  3053,  16,  16384,   5948,   6,  11,   2, 109101880, 110013488, 109944520, 108360320, 111631232
  3054,  16,  16384,  12635,  11,   7,   2, 111652536, 109797824, 105187056, 110382376, 109158744
  3055,  16,  16384,  43961,   7,  10,   2, 111540112, 110526760, 110882264, 111464304, 109778896
  3056,  16,  16384,  25770,  10,  10,   0, 111103968, 110595200, 111035176, 109767672, 111243672
  3057,  16,  16384,  33389,  10,   7,   2, 109812744, 109426752, 111055816, 110654336, 111305624
  3058,  16,  16384,  16631,   7,  11,   2, 111431160, 111175976, 111640440, 111384368, 110784160
  3059,  16,  16384,  29997,  11,  11,   0, 108976200, 106783480, 110195504, 111169312, 111652680
  3060,  16,  16384,  31917,  11,  10,   1, 111516408, 111260784, 111547128, 111443240, 110873544
  3061,  16,  16384,  32311,  10,  10,   0, 109784240, 110795440, 110858064, 110708672, 109924224
  3062,  16,  16384,   8408,  10,  11,   1, 111120376, 111055240, 110999400, 105090816, 112029280
  3063,  16,  16384,  20927,  11,  11,   0, 111590840, 110261432, 111433664, 111505864, 109283464
  3064,  16,  16384,  33132,  11,  10,   1, 104619520, 111381600, 111474984, 111405536, 105122112
  3065,  16,  16384,  38910,  10,  15,   3, 111141144, 110369728, 110189960, 110686576, 111620648
  3066,  16,  16384,  33802,  15,  13,   2, 110850440, 108906280, 111341040, 111344928, 113069048
  3067,  16,  16384,   7679,  13,   2,   3, 112989848, 114306656, 114124160, 113899448, 110578600
  3068,  16,  16384,  32967,   2,  18,   3, 105039632, 109430456, 110818528, 110784048, 111992576
  3069,  16,  16384,   7327,  18,  20,   2, 112579336, 112288232, 110837440, 112462632, 115677496
  3070,  16,  16384,  43728,  20,   5,   3, 114330488, 112330568, 112754184, 115451272, 111791584
  3071,  16,  16384,  25565,   5,   4,   1, 113184264, 113359248, 113711576, 107614896, 113853936
  3072,  16,  16384,  26313,   4,   5,   1, 113727952, 112684816, 113753304, 112697456, 114091920
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  3211,  16,  16384,   2572,   5,   4,   1, 114047224, 113925080, 114199040, 113982096, 112622976
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  3219,  16,  16384,  25807,  16,  17,   1, 115494560, 114055312, 115126688, 115268872, 116128888
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  3221,  16,  16384,  24903,   7,   7,   0, 111350680, 111420144, 111429264, 110074944, 111512912
  3222,  16,  16384,  24925,   7,   6,   1, 105616072, 108881072, 111563872, 111191704, 105501624
  3223,  16,  16384,  23779,   6,   7,   1, 109122496, 110022336, 110290136, 110267528, 110209776
  3224,  16,  16384,  28075,   7,   7,   0, 111697392, 111277576, 105347168, 109138592, 111722296
  3225,  16,  16384,  30591,   7,   7,   0, 111492760, 111349232, 110133704, 111216232, 111806112
  3226,  16,  16384,  28479,   7,   7,   0, 111538672, 110657424, 111161816, 111498104, 111573000
  3227,  16,  16384,  40677,   7,   8,   2, 102991152, 111512736, 111150984, 111049296, 113778336
  3228,  16,  16384,  12886,   8,   9,   1, 111517080, 107865752, 113735168, 113502072, 114205064
  3229,  16,  16384,  22351,   9,  10,   2, 114274424, 114064384, 107836960, 112868080, 109652008
  3230,  16,  16384,  19528,  10,   7,   2, 111182256, 110718872, 110741512, 110788744, 110450040
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  3232,  16,  16384,  43705,   4,   6,   3, 107722392, 112864504, 113914568, 113784904, 110361176
  3233,  16,  16384,  11451,   6,  11,   2, 109080176, 110227112, 109338072, 108233976, 110541016
  3234,  16,  16384,   4097,  11,  10,   1, 110264648, 108934632, 111458096, 111409944, 111000696
  3235,  16,  16384,  46304,  10,  10,   0, 111134336, 111140768, 110922608, 109510560, 110875872
  3236,  16,  16384,  34274,  10,  10,   0, 109734072, 110840248, 110854552, 104801880, 110773824
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  3733,  16,  16384,    127,  15,  20,   3, 110500112, 111522856, 111613576, 109036688, 112811480
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  3735,  16,  16384,  42216,  21,  21,   0, 109972400, 114233168, 115741720, 114592096, 115887040
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  3903,  16,  16384,  15869,  17,  16,   1, 114511912, 115625592, 115931432, 115733752, 114170008
  3904,  16,  16384,  23158,  16,  17,   1, 115420752, 114069240, 115214952, 115508720, 116230616
  3905,  16,  16384,  15639,  17,  16,   1, 116035472, 110017152, 114371344, 115673464, 115691520
  3906,  16,  16384,  38743,  16,  12,   2, 110077944, 113827368, 114797560, 113859520, 113842648
  3907,  16,  16384,  12992,  12,  12,   0, 113911328, 113518856, 113269680, 113558160, 112541640
  3908,  16,  16384,  24503,  12,  17,   2, 112313768, 113567888, 113765984, 112706176, 116415152
  3909,  16,  16384,  49272,  17,  16,   1, 115778040, 114503592, 115614152, 115649088, 115112040
  3910,  16,  16384,  36033,  16,  17,   1, 114288912, 113123632, 115864552, 115257944, 114904800
  3911,  16,  16384,  27248,  17,  17,   0, 116143248, 115438656, 114429960, 115777976, 115953760
  3912,  16,  16384,  35623,  17,  17,   0, 115057544, 115570264, 110044608, 115877528, 115866944
  3913,  16,  16384,  47933,  17,  12,   2, 114763424, 114354000, 116013248, 115775024, 113964208
  3914,  16,  16384,  19276,  12,   3,   3, 113718936, 113700992, 111084936, 112333928, 110814456
  3915,  16,  16384,   5687,   3,   7,   3, 111473920, 111388720, 110274096, 111333840, 105387808
  3916,  16,  16384,  44189,   7,   6,   1, 110238864, 111378784, 111212816, 111326360, 110285024
  3917,  16,  16384,  10333,   6,   7,   1, 110193480, 108813168, 110086984, 110191320, 110312472
  3918,  16,  16384,  42890,   7,   6,   1, 111549704, 105440664, 111002472, 110632544, 109933696
  3919,  16,  16384,  28887,   6,   7,   1, 110276680, 110151512, 109842832, 108442584, 111342432
  3920,  16,  16384,   6187,   7,   6,   1, 110574168, 111480144, 111597776, 105400464, 110436128
  3921,  16,  16384,  30653,   6,  11,   2, 103291128, 108570616, 110321000, 110024096, 111505944
  3922,  16,  16384,  25175,  11,   8,   2, 110279528, 111541144, 111622144, 111361352, 113700592
  3923,  16,  16384,  12276,   8,  17,   3, 113762328, 113547928, 113515744, 112470456, 115843744
  3924,  16,  16384,   7772,  17,   1,   3, 115882392, 109525600, 114995096, 114248928, 114266200
  3925,  16,  16384,  24172,   1,   0,   1, 110643592, 110660336, 113730152, 112679888, 113675512
  3926,  16,  16384,  41043,   0,   0,   0, 113777608, 107068296, 112462312, 113826640, 113973576
  3927,  16,  16384,   8231,   0,  16,   3, 112415472, 112274480, 113668296, 113860752, 114240224
  3928,  16,  16384,  16697,  16,  15,   2, 114839376, 115112968, 115284592, 115348600, 111750136
  3929,  16,  16384,   4597,  15,   3,   3, 110458048, 111604960, 111472336, 110259568, 105940552
  3930,  16,  16384,  41892,   3,   2,   1, 111404728, 109661504, 110845392, 111403888, 110788856
  3931,  16,  16384,  35783,   2,   3,   1, 111044320, 109288248, 109691400, 110771528, 111297416
  3932,  16,  16384,  10346,   3,   1,   2, 105569648, 111283200, 110904080, 109431040, 114102296
  3933,  16,  16384,  14997,   1,   7,   3, 114088208, 113980712, 113983384, 113853624, 110232448
  3934,  16,  16384,  27484,   7,  14,   3, 110232288, 111247448, 111212880, 111705392, 111097328
  3935,  16,  16384,  25752,  14,  14,   0, 109592088, 110609352, 110806192, 110622624, 109962440
  3936,  16,  16384,  18622,  14,  15,   1, 111163848, 111043256, 111013864, 109913272, 111772128
  3937,  16,  16384,   6252,  15,   3,   3, 111716704, 105399824, 110481840, 110215672, 111359560
  3938,  16,  16384,  17821,   3,   3,   0, 111554736, 111308536, 111188784, 111275416, 111272280
  3939,  16,  16384,  21699,   3,   2,   1, 111423688, 111330376, 111323928, 111392848, 109498584
  3940,  16,  16384,  40876,   2,   3,   1, 109605360, 110884432, 110881208, 110268768, 111302040
  3941,  16,  16384,  11346,   3,   2,   1, 110127184, 111393984, 111212960, 110942520, 110812384
  3942,  16,  16384,  32373,   2,   9,   3, 111006960, 108506152, 110661392, 110833920, 114049824
  3943,  16,  16384,  23662,   9,   8,   1, 108181264, 112695848, 112844280, 113976984, 112699888
  3944,  16,  16384,  13579,   8,  18,   3, 113812520, 113816736, 113579008, 113636944, 112809792
  3945,  16,  16384,   4091,  18,  11,   3, 112606392, 112512248, 112214192, 112523032, 110696520
  3946,  16,  16384,   7899,  11,   8,   2, 111714480, 111070224, 111565528, 111246704, 113660000
  3947,  16,  16384,  30116,   8,  10,   2, 113699008, 114034840, 112351736, 113640696, 110989912
  3948,  16,  16384,    323,  10,  10,   0, 111010944, 110905728, 110081968, 109542944, 111179944
  3949,  16,  16384,  42054,  10,  21,   3, 111124584, 110951376, 102819088, 111075952, 114750472
  3950,  16,  16384,    537,  21,  20,   1, 115083264, 115446616, 114622728, 116196744, 115417912
  3951,  16,  16384,  30274,  20,   0,   3, 108903672, 115387904, 115235616, 115233704, 113388288
  3952,  16,  16384,   6236,   0,  16,   3, 113054472, 107595312, 113648976, 113522752, 114497512
  3953,  16,  16384,  48725,  16,  19,   3, 114996952, 114369224, 115207656, 115608736, 107631856
  3954,  16,  16384,  10333,  19,  11,   3, 113444304, 112062992, 113134736, 112045088, 111541096
  3955,  16,  16384,  27990,  11,   8,   2, 111723944, 111529464, 111371584, 111430816, 113795528
  3956,  16,  16384,  39141,   8,   7,   2, 113972992, 113617288, 113802288, 112663864, 105375456
  3957,  16,  16384,  40173,   7,  11,   2, 111475648, 111192648, 110314784, 111318352, 111457584
  3958,  16,  16384,  32727,  11,  11,   0, 105791848, 111541040, 110553200, 111476200, 111693400
  3959,  16,  16384,  14963,  11,   2,   3, 111328160, 109107632, 111634912, 111560584, 109771544
  3960,  16,  16384,  39558,   2,   3,   1, 110801112, 110859888, 109952504, 110784280, 111756944
  3961,  16,  16384,  46339,   3,   2,   1, 111594000, 110376520, 110399200, 105171560, 110659912
  3962,  16,  16384,  13429,   2,   0,   2, 110930208, 109427712, 110522960, 109792896, 112574504
  3963,  16,  16384,   9436,   0,   5,   2, 113851384, 113789728, 113390416, 112011280, 113998880
  3964,  16,  16384,  34068,   5,  21,   3, 114316576, 114138176, 113820688, 113951888, 115932080
  3965,  16,  16384,  46937,  21,  20,   1, 116211408, 115614440, 115820528, 109002176, 109298984
  3966,  16,  16384,  28318,  20,  20,   0, 114771896, 114049864, 113863032, 115675448, 115676448
  3967,  16,  16384,   5775,  20,  20,   0, 115658112, 115347416, 114149768, 115179792, 115294424
  3968,  16,  16384,  14634,  20,  18,   2, 115915016, 115706144, 111897800, 112117840, 111363368
  3969,  16,  16384,   8611,  18,  19,   1, 112519176, 111670968, 112270272, 112423312, 113448568
  3970,  16,  16384,  22594,  19,  19,   0, 113348160, 106318472, 111643376, 112948416, 113222016
  3971,  16,  16384,  44547,  19,  19,   0, 113624848, 111839376, 113010152, 113538640, 113539008
  3972,  16,  16384,  17892,  19,  20,   2, 113668008, 113214560, 113256688, 110466712, 115281432
  3973,  16,  16384,  40275,  20,  12,   3, 114208120, 108407608, 113809616, 115336704, 113895904
  3974,  16,  16384,  16074,  12,  13,   1, 113815968, 112650144, 107594904, 113741432, 114035536
  3975,  16,  16384,  33195,  13,  18,   3, 114590896, 112676840, 113971176, 113827928, 112644712
  3976,  16,  16384,  12939,  18,  18,   0, 112573952, 112465936, 112293464, 105400296, 112564464
  3977,  16,  16384,   4808,  18,  19,   1, 112477384, 112638112, 112305680, 111086736, 112158736
  3978,  16,  16384,  36082,  19,  22,   2, 113313496, 113177112, 113271288, 111830880, 112643184
  3979,  16,  16384,  34178,  22,  23,   1, 111564432, 112522712, 112289048, 112287144, 113113952
  3980,  16,  16384,  19528,  23,  22,   1, 112136712, 107798280, 113295256, 113106464, 110810896
  3981,  16,  16384,  22200,  22,  23,   1, 112444880, 111049448, 112329960, 112378464, 113615248
  3982,  16,  16384,  15401,  23,  19,   2, 113320168, 113342704, 112157912, 113210512, 113628224
  3983,  16,  16384,  18909,  19,  19,   0, 112295600, 112873360, 113572208, 112865856, 113408760
  3984,  16,  16384,  29086,  19,  19,   0, 105011968, 113685416, 113169208, 113013472, 113200520
  3985,  16,  16384,  34034,  19,  19,   0, 113441416, 113342648, 113114576, 111831088, 113701032
  3986,  16,  16384,  27475,  19,  23,   2, 113422784, 112229928, 111793760, 113358800, 113292152
  3987,  16,  16384,  26860,  23,  13,   3, 112059384, 113195832, 113241240, 113050632, 114175312
  3988,  16,  16384,  16896,  13,  12,   1, 114169248, 108051704, 114020600, 113835920, 112639960
  3989,  16,  16384,   3305,  12,  12,   0, 113943856, 112702744, 112595840, 113814032, 113690440
  3990,  16,  16384,  44551,  12,  12,   0, 113596912, 113835904, 113544200, 106357832, 113852488
  3991,  16,  16384,  31765,  12,   7,   3, 113802224, 113387336, 112373936, 112690248, 111459864
  3992,  16,  16384,  39823,   7,  18,   3, 111296544, 109569968, 111370528, 111422208, 112494416
  3993,  16,  16384,  48385,  18,  20,   2, 111583936, 112641312, 112523600, 110932928, 115938072
  3994,  16,  16384,   9374,  20,   0,   3, 114255696, 110822024, 114939560, 114885840, 112502720
  3995,  16,  16384,  48662,   0,   8,   3, 112863224, 113615448, 113560112, 113350288, 112456712
  3996,  16,  16384,  10279,   8,   9,   1, 112790968, 113299864, 113628728, 112274824, 114196984
  3997,  16,  16384,   8721,   9,   9,   0, 114157000, 113750592, 113866520, 113979952, 112968200
  3998,  16,  16384,  39862,   9,   8,   1, 111822848, 114397176, 113110792, 114426616, 114040504
  3999,  16,  16384,  27044,   8,  14,   3, 112639104, 112468632, 113546568, 107678296, 111358304
  4000,  16,  16384,  46139,  14,  15,   1, 111153664, 111148832, 110033928, 110999440, 111959360
  4001,  16,  16384,  44542,  15,  14,   1, 110428280, 111706560, 111451424, 111481592, 110696488
  4002,  16,  16384,  40981,  14,   9,   3, 111187912, 110968352, 110632200, 109721288, 114197056
  4003,  16,  16384,  42983,   9,  10,   2, 114151864, 114089176, 113986848, 114082368, 109060704
  4004,  16,  16384,  41667,  10,  14,   3, 110554264, 110861992, 110545168, 110532448, 110112552
  4005,  16,  16384,  35262,  14,  15,   1, 111050232, 110675888, 109938120, 110440656, 111297712
  4006,  16,  16384,   6284,  15,  19,   3, 105803256, 111456288, 111546760, 108120168, 112973088
  4007,  16,  16384,  39147,  19,  18,   1, 112652944, 113118496, 113013936, 113392600, 112403568
  4008,  16,  16384,   8115,  18,  18,   0, 112592024, 112365320, 111677784, 110790968, 112631704
  4009,  16,  16384,  33558,  18,   2,   3, 112451032, 111123128, 112258744, 111297864, 110764000
  4010,  16,  16384,  39425,   2,   2,   0, 110869856, 110632632, 108357400, 110953616, 109410560
  4011,  16,  16384,  30370,   2,   2,   0, 104820904, 110553376, 110784904, 109316400, 110773584
  4012,  16,  16384,   7787,   2,   2,   0, 110727144, 110462744, 110936048, 110639856, 109655552
  4013,  16,  16384,   5436,   2,   1,   2, 109376112, 110646072, 109791200, 106137736, 114074736
  4014,  16,  16384,  33837,   1,   1,   0, 112469760, 113867664, 112638704, 113918304, 113974664
  4015,  16,  16384,   2620,   1,   7,   3, 112954224, 113823024, 113980528, 112968784, 111565552
  4016,  16,  16384,   1611,   7,  16,   3, 110432088, 111199952, 111416800, 111447528, 110925656
  4017,  16,  16384,  41953,  16,  15,   2, 114040160, 114380952, 115016488, 114405672, 110583616
  4018,  16,  16384,   5830,  15,  14,   1, 111699024, 111287216, 111525768, 111131856, 111074456
  4019,  16,  16384,    801,  14,  15,   1, 111083104, 110773296, 110916040, 110612608, 111790800
  4020,  16,  16384,  49318,  15,  15,   0, 105517040, 111355224, 110203736, 111507640, 111592744
  4021,  16,  16384,    163,  15,  17,   2, 111547136, 110368952, 111289352, 111123328, 115962464
  4022,  16,  16384,  21692,  17,  14,   2, 115411160, 115476568, 114521288, 114774536, 109913488
  4023,  16,  16384,   2301,  14,  15,   1, 111150112, 110671344, 110767232, 111015328, 111803176
  4024,  16,  16384,  46769,  15,  23,   3, 111888824, 110302480, 111780752, 110553320, 111026040
  4025,  16,  16384,  15854,  23,  19,   2, 112998384, 113160624, 113129384, 113243888, 112367288
  4026,  16,  16384,  44136,  19,   1,   3, 113418496, 113338048, 113146664, 111927240, 114197536
  4027,  16,  16384,  16083,   1,   1,   0, 113824400, 113044592, 113167008, 108142536, 113963376
  4028,  16,  16384,  34874,   1,   3,   2, 113988784, 113622064, 113821200, 114059288, 110307176
  4029,  16,  16384,  41224,   3,   0,   2, 111339936, 111193856, 110407808, 110978592, 113822216
  4030,  16,  16384,  32151,   0,  19,   3, 107900976, 113382312, 113800784, 112672544, 113544200
  4031,  16,  16384,   6977,  19,  20,   2, 111976600, 113350136, 113172576, 113021736, 115277632
  4032,  16,  16384,  17823,  20,  20,   0, 115764720, 109539272, 114060888, 115199720, 115535416
  4033,  16,  16384,  36308,  20,  20,   0, 114325552, 115355720, 114131288, 115312360, 115496992
  4034,  16,  16384,   6889,  20,  20,   0, 115412904, 114196912, 115355896, 115165824, 108149272
  4035,  16,  16384,  17568,  20,   7,   3, 115804464, 115452384, 114127536, 115084072, 111374824
  4036,  16,  16384,   6836,   7,   3,   3, 111142872, 110166568, 111583944, 111355488, 111317696
  4037,  16,  16384,  37148,   3,   9,   3, 111144224, 110274560, 111030488, 111157704, 114080984
  4038,  16,  16384,  35319,   9,  12,   3, 105628976, 114021392, 113086936, 113978136, 112938824
  4039,  16,  16384,  12564,  12,  12,   0, 112735240, 113766448, 113520120, 112533368, 113886824
  4040,  16,  16384,  10379,  12,  18,   3, 111262824, 109758392, 113597712, 113601440, 112485496
  4041,  16,  16384,  45597,  18,  18,   0, 112603704, 112493408, 112613392, 112473896, 112532104
  4042,  16,  16384,  15411,  18,  23,   2, 112780744, 112404952, 109956344, 111887064, 112957872
  4043,  16,  16384,  23655,  23,   5,   3, 112107976, 113085880, 113327608, 113441056, 113076912
  4044,  16,  16384,  30544,   5,  13,   3, 113966480, 113983600, 108074056, 113810456, 114032112
  4045,  16,  16384,  22306,  13,  14,   2, 113241456, 114082832, 113837184, 113260072, 110800336
  4046,  16,  16384,    745,  14,  15,   1, 110986680, 111138288, 110935648, 110736312, 109511896
  4047,  16,  16384,  29955,  15,  15,   0, 110454080, 110426656, 111248056, 105530648, 111591960
  4048,  16,  16384,    291,  15,  21,   3, 111677848, 111718552, 111678112, 111439176, 114868216
  4049,  16,  16384,   2849,  21,   3,   3, 114769680, 116054384, 115635656, 115929944, 110457184
  4050,  16,  16384,  17972,   3,   2,   1, 111518928, 110101520, 111244784, 111335232, 110874504
  4051,  16,  16384,  32854,   2,   5,   2, 110982192, 110829216, 110941648, 109665704, 114173352
  4052,  16,  16384,  12023,   5,  11,   3, 114154440, 113841984, 113717576, 113787160, 111592376
  4053,  16,  16384,  22545,  11,  11,   0, 111859816, 111720528, 105558088, 111393264, 111541488
  4054,  16,  16384,  14141,  11,  10,   1, 110747784, 111743384, 110750296, 110513832, 111069264
  4055,  16,  16384,  15853,  10,   6,   2, 111075224, 109675584, 110637392, 110857320, 110149488
  4056,  16,  16384,  49901,   6,   7,   1, 110167552, 108685312, 109838784, 110144720, 110341376
  4057,  16,  16384,  17759,   7,   6,   1, 105444320, 111255832, 111311992, 111367360, 110061408
  4058,  16,  16384,  48035,   6,   7,   1, 110240384, 109779736, 109688784, 108747432, 111203232
  4059,  16,  16384,   9895,   7,   9,   2, 110141608, 110049376, 105061552, 111019488, 108250984
  4060,  16,  16384,  15912,   9,  19,   3, 113179472, 113960624, 112629824, 112895472, 113456712
  4061,  16,  16384,  22629,  19,  20,   2, 113488960, 111843712, 113050936, 113150096, 114436216
  4062,  16,  16384,  43527,  20,  20,   0, 115798552, 115541496, 115409576, 115684320, 115774000
  4063,  16,  16384,  19479,  20,  22,   2, 114221744, 109749008, 115061104, 115428960, 109714272
  4064,  16,  16384,  26870,  22,  18,   2, 112753096, 112581480, 112371072, 111251448, 112440616
  4065,  16,  16384,   8134,  18,  21,   2, 112604736, 111438080, 112571552, 112458016, 116269592
  4066,  16,  16384,   5562,  21,  21,   0, 116105824, 115669952, 115654264, 115756264, 114774928
  4067,  16,  16384,  38118,  21,  11,   3, 116273184, 109890584, 114413440, 115585472, 111451776
  4068,  16,  16384,  15453,  11,   7,   2, 111634392, 111546768, 110411608, 110287304, 111423600
  4069,  16,  16384,  20863,   7,   9,   2, 111682168, 110166680, 111350952, 110296240, 114376464
  4070,  16,  16384,  10210,   9,  23,   3, 114524336, 114166224, 113207944, 113841760, 112030936
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  4223,  16,  16384,  48947,   5,   5,   0, 107813200, 114278112, 114196984, 114231072, 113135368
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  4234,  16,  16384,   9307,  22,  22,   0, 112453816, 106307072, 111969840, 110406616, 112380120
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  4377,  16,  16384,  14693,   5,   6,   3, 114207912, 114011000, 112799616, 114092544, 108274544
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  4379,  16,  16384,  24017,   6,   7,   1, 110027928, 109709520, 109825064, 109554680, 111588976
  4380,  16,  16384,  41710,   7,   7,   0, 111322216, 111110736, 110229536, 110840936, 105241272
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  4391,  16,  16384,   1577,  16,  16,   0, 115611488, 114340496, 115324840, 115294968, 115205112
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  4398,  16,  16384,   7489,  11,  10,   1, 111830424, 111359856, 111595320, 111682648, 110971312
  4399,  16,  16384,  27221,  10,  10,   0, 110167304, 111254160, 110712080, 109037304, 110711440
  4400,  16,  16384,   6124,  10,   7,   2, 111131088, 110916512, 104840024, 110713416, 111864752
  4401,  16,  16384,  47843,   7,   6,   1, 110997008, 110662216, 111224496, 111463856, 110087288
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  4403,  16,  16384,  18750,   8,  22,   3, 113729112, 113873672, 113558856, 112831448, 112388592
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  4564,  16,  16384,  46410,  15,  14,   1, 110361520, 111200216, 105456304, 111489312, 107783512
  4565,  16,  16384,  32026,  14,  14,   0, 108260784, 110929632, 110561032, 110049264, 110996704
  4566,  16,  16384,  29547,  14,  13,   2, 111001088, 110672352, 110877208, 111120056, 113047744
  4567,  16,  16384,   7716,  13,  12,   1, 113638984, 113634072, 113017400, 114041816, 113747368
  4568,  16,  16384,  40735,  12,   2,   3, 113699144, 113724096, 113472328, 107727128, 111320104
  4569,  16,  16384,  13602,   2,   2,   0, 111183792, 109633488, 109539880, 109753928, 110992224
  4570,  16,  16384,  16279,   2,   2,   0, 110785632, 105108856, 110747784, 110812640, 110989128
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  4595,  16,  16384,   3765,   3,  15,   3, 110548544, 103740352, 111407872, 111375568, 111211288
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  4597,  16,  16384,   1612,  15,  12,   2, 111628392, 110553744, 111553000, 110417040, 112818352
  4598,  16,  16384,  14289,  12,  13,   1, 112530432, 113813048, 112886104, 113526168, 114586472
  4599,  16,  16384,  21041,  13,  11,   3, 112985296, 112606560, 114074592, 114023296, 111391960
  4600,  16,  16384,  39101,  11,   2,   3, 110729080, 110532368, 111523976, 111569080, 110911832
  4601,  16,  16384,  44426,   2,   3,   1, 109729680, 104478064, 110063992, 110626824, 111408432
  4602,  16,  16384,  14114,   3,   2,   1, 111411496, 105288376, 110949512, 110157216, 110823424
  4603,  16,  16384,  27952,   2,  15,   3, 110868104, 111006072, 109415632, 104970872, 111153648
  4604,  16,  16384,  36511,  15,  18,   3, 111779784, 111201448, 111490016, 110583496, 112676992
  4605,  16,  16384,  42521,  18,  18,   0, 112549744, 112305008, 112376464, 112407568, 111352864
  4606,  16,  16384,  42010,  18,  10,   3, 106845928, 112298696, 112380976, 112597680, 109933960
  4607,  16,  16384,  19895,  10,  11,   1, 110846216, 110775408, 109482928, 110664824, 111503312
  4608,  16,  16384,   3061,  11,  10,   1, 112015104, 110761784, 105148032, 111385480, 110959920
  4609,  16,  16384,  34142,  10,  21,   3, 111025832, 104754872, 109822400, 110764848, 110329560
  4610,  16,  16384,  37204,  21,  20,   1, 113296576, 116023688, 114617104, 115776720, 115503976
  4611,  16,  16384,  36798,  20,   1,   3, 114134768, 114086616, 115100952, 115271144, 113940728
  4612,  16,  16384,  19075,   1,   0,   1, 112969656, 111584168, 113920416, 113017936, 113443184
  4613,  16,  16384,   2334,   0,  20,   3, 113608960, 113333720, 112401144, 113466392, 115251040
  4614,  16,  16384,  39132,  20,  22,   2, 115800288, 109703976, 113542872, 115004048, 111239208
  4615,  16,  16384,  18045,  22,   2,   3, 112553040, 111093784, 112555216, 112429664, 109866272
  4616,  16,  16384,  11000,   2,   2,   0, 111011320, 109622352, 110751592, 110767168, 109724744
  4617,  16,  16384,  16218,   2,   6,   3, 110811600, 110563536, 104627544, 110481944, 110086640
  4618,  16,  16384,   2812,   6,  21,   3, 104470048, 108896768, 109445672, 110008152, 116315896
  4619,  16,  16384,  42062,  21,  22,   2, 116182968, 115616976, 114587752, 109739152, 112497200
  4620,  16,  16384,  32294,  22,  22,   0, 111376208, 112309872, 111182424, 111026952, 112836832
  4621,  16,  16384,  48281,  22,  23,   1, 112828632, 112355328, 112115136, 112435824, 110273384
  4622,  16,  16384,  38040,  23,  21,   2, 108072392, 113147880, 112046640, 113639480, 115926000
  4623,  16,  16384,  28367,  21,  20,   1, 114741088, 116070616, 115520280, 116011752, 115681104
  4624,  16,  16384,  37001,  20,  21,   1, 115693680, 115382728, 115333672, 114545544, 115865656
  4625,  16,  16384,  10044,  21,  13,   3, 116176280, 115851888, 114907024, 115800336, 113945920
  4626,  16,  16384,   3840,  13,  12,   1, 107938448, 112771544, 113031720, 112900120, 113446528
  4627,  16,  16384,  34455,  12,  14,   2, 113915456, 113548184, 113578128, 113561016, 110839112
  4628,  16,  16384,   2293,  14,  18,   3, 111160712, 111043584, 109614624, 110765000, 112662936
  4629,  16,  16384,  11631,  18,  19,   1, 111290696, 112475592, 112558920, 109916720, 113443872
  4630,  16,  16384,   7970,  19,  18,   1, 113817536, 113359096, 113123384, 113173600, 112660384
  4631,  16,  16384,  18205,  18,  19,   1, 112632768, 112481328, 111347016, 112275856, 113259064
  4632,  16,  16384,   8039,  19,  18,   1, 113466368, 113316504, 113127232, 112998024, 112383672
  4633,  16,  16384,  11300,  18,  20,   2, 112650600, 112125440, 112392312, 112156904, 115404440
  4634,  16,  16384,  32993,  20,  21,   1, 115633928, 115261288, 115338248, 115251320, 116290112
  4635,  16,  16384,  37558,  21,  23,   2, 116163672, 115614640, 113882696, 114070304, 112850792
  4636,  16,  16384,  32867,  23,  19,   2, 113440384, 113264896, 113233752, 113405976, 113440328
  4637,  16,  16384,  40906,  19,  19,   0, 113223000, 113064680, 113004112, 111008832, 113815128
  4638,  16,  16384,  29595,  19,  22,   2, 112210024, 113394040, 113271288, 113335096, 112672608
  4639,  16,  16384,   4197,  22,  23,   1, 112737080, 111146800, 112456272, 112381880, 112170624
  4640,  16,  16384,  19510,  23,  22,   1, 110727728, 113251032, 112104840, 113053328, 112503024
  4641,  16,  16384,  35821,  22,  23,   1, 109982128, 112463744, 112371776, 111523312, 107659536
  4642,  16,  16384,  46863,  23,  23,   0, 113321960, 108914016, 112966240, 111782040, 113608056
  4643,  16,  16384,    354,  23,   6,   3, 113507152, 113093336, 113254512, 113172672, 109251576
  4644,  16,  16384,  30335,   6,   6,   0, 109966544, 110199448, 109978472, 109942576, 109459992
  4645,  16,  16384,  31802,   6,   6,   0, 110217128, 108756560, 108596424, 110008152, 104067880
  4646,  16,  16384,  19701,   6,   6,   0, 110287024, 109026144, 110254080, 109758368, 110137824
  4647,  16,  16384,  37734,   6,  16,   3, 109823992, 108921312, 110076584, 109472576, 109325352
  4648,  16,  16384,  34397,  16,  17,   1, 115398432, 113952968, 113617464, 113669336, 115795768
  4649,  16,  16384,  31320,  17,  11,   3, 114731144, 114599024, 115726248, 116004520, 111529904
  4650,  16,  16384,  19904,  11,   6,   2, 111752680, 111725672, 111682048, 111431352, 110220800
  4651,  16,  16384,   2273,   6,   7,   1, 110198992, 109805304, 109697824, 108769416, 111430712
  4652,  16,  16384,  11448,   7,   6,   1, 111409256, 110271592, 111336720, 111334880, 110097160
  4653,  16,  16384,  34600,   6,  12,   3, 103319328, 110188224, 110071864, 110158272, 113651440
  4654,  16,  16384,   5902,  12,  23,   3, 113660176, 113955584, 113953640, 113721552, 113676096
  4655,  16,  16384,  11692,  23,  21,   2, 113343760, 113254744, 113351488, 113217968, 114700576
  4656,  16,  16384,  26850,  21,   7,   3, 114781064, 114435648, 115962120, 115728376, 110546640
  4657,  16,  16384,  45447,   7,   7,   0, 111476552, 111217936, 111274696, 111336928, 111263752
  4658,  16,  16384,  38777,   7,   7,   0, 111306816, 109892056, 111303568, 107937544, 110355672
  4659,  16,  16384,  13605,   7,   7,   0, 110223696, 111544344, 111082480, 111144872, 111228768
  4660,  16,  16384,   4890,   7,   7,   0, 111330840, 111138992, 111228672, 110230736, 111758528
  4661,  16,  16384,   5860,   7,   7,   0, 110494592, 110690072, 106156328, 109026024, 111323704
  4662,  16,  16384,  27689,   7,  14,   3, 111622080, 111618072, 111436528, 111290432, 105560104
  4663,  16,  16384,  39078,  14,  14,   0, 110595096, 110600448, 110811200, 110892264, 109734952
  4664,  16,  16384,  10887,  14,  14,   0, 110037616, 110952448, 109781560, 109712224, 111173640
  4665,  16,  16384,  43719,  14,  14,   0, 110994760, 110864368, 110791328, 104656824, 111173496
  4666,  16,  16384,  27849,  14,   3,   3, 111284968, 109692984, 110849880, 109847632, 111442672
  4667,  16,  16384,  26025,   3,   3,   0, 111537648, 111318424, 110998448, 110262112, 111189816
  4668,  16,  16384,  40544,   3,   0,   2, 111466928, 110157048, 111378856, 108957640, 112160568
  4669,  16,  16384,    881,   0,   2,   2, 113647384, 112694296, 107594176, 112594960, 110885448
  4670,  16,  16384,  43530,   2,  10,   3, 108878520, 110885976, 110687232, 111089168, 110095528
  4671,  16,  16384,  28544,  10,   0,   3, 111097776, 109577896, 109983992, 110785328, 112541912
  4672,  16,  16384,  17620,   0,   0,   0, 113667336, 113664728, 113329024, 113550856, 113763496
  4673,  16,  16384,  12618,   0,   1,   1, 113969848, 113600016, 113593704, 112230816, 113085656
  4674,  16,  16384,  35124,   1,   1,   0, 113896824, 111588048, 114137400, 113727832, 112795976
  4675,  16,  16384,   8253,   1,   1,   0, 114221384, 114186464, 113976880, 113739880, 114047504
  4676,  16,  16384,   6417,   1,   1,   0, 114093816, 107874880, 112645848, 112468824, 112899208
  4677,  16,  16384,  33068,   1,   7,   3, 114085328, 114131432, 113804000, 112882056, 111330592
  4678,  16,  16384,  26596,   7,  12,   3, 111591528, 111235728, 111279488, 111522672, 112629072
  4679,  16,  16384,  27451,  12,  23,   3, 113779952, 113469408, 113660768, 113496032, 113532760
  4680,  16,  16384,   5993,  23,  11,   3, 113544272, 113169880, 113431176, 113339808, 111745936
  4681,  16,  16384,   2936,  11,  10,   1, 109367296, 103349552, 111541632, 111608120, 110988528
  4682,  16,  16384,   4714,  10,  16,   3, 110929712, 111092944, 109677352, 109727280, 115713488
  4683,  16,  16384,  21128,  16,  16,   0, 115570824, 115632056, 105563584, 114040640, 115491528
  4684,  16,  16384,  14065,  16,   0,   3, 115560192, 115337616, 114416296, 114995960, 113649016
  4685,  16,  16384,  48693,   0,   1,   1, 112345328, 113447984, 113563224, 113382832, 112780872
  4686,  16,  16384,  39736,   1,   1,   0, 114269208, 112885680, 114137072, 113974376, 112614912
  4687,  16,  16384,  37212,   1,   2,   2, 114131096, 113933936, 113683848, 114137360, 109613984
  4688,  16,  16384,  48716,   2,   2,   0, 110809992, 110935720, 110795648, 110900832, 111026392
  4689,  16,  16384,  33607,   2,  21,   3, 109773728, 110656112, 103554232, 109743776, 115868216
  4690,  16,  16384,   9261,  21,  18,   2, 113325464, 114554016, 115958472, 115853336, 112360856
  4691,  16,  16384,  32433,  18,  14,   3, 112424384, 112366616, 112601872, 111674800, 103728760
  4692,  16,  16384,  32896,  14,  22,   3, 111138536, 110860040, 108105432, 110917856, 112286800
  4693,  16,  16384,  35199,  22,  20,   2, 112673048, 112314824, 111153016, 112423200, 109740664
  4694,  16,  16384,   8794,  20,  21,   1, 115699232, 115646464, 113842208, 115341784, 114815256
  4695,  16,  16384,  35131,  21,  20,   1, 115957152, 114642960, 115760256, 109933920, 115747736
  4696,  16,  16384,  20328,  20,   3,   3, 115618264, 115153776, 109188696, 115376592, 111341320
  4697,  16,  16384,   2511,   3,   2,   1, 111475096, 111413976, 111596464, 111613176, 109718856
  4698,  16,  16384,  44063,   2,   3,   1, 110721952, 110666480, 110761256, 104671152, 110296768
  4699,  16,  16384,  11422,   3,   2,   1, 111512472, 110097304, 111583984, 111293624, 110786864
  4700,  16,  16384,  28165,   2,  10,   3, 109329848, 110822952, 110826176, 110679800, 111109144
  4701,  16,  16384,  27867,  10,  10,   0, 108336872, 111069312, 110754360, 110923136, 109996952
  4702,  16,  16384,  39626,  10,   7,   2, 110543336, 110719992, 111042160, 104729528, 110542728
  4703,  16,  16384,  41047,   7,   6,   1, 111397440, 111348128, 110275912, 111534064, 110126344
  4704,  16,  16384,  37815,   6,   6,   0, 108927632, 109936488, 108964288, 110088728, 107962024
  4705,  16,  16384,   2216,   6,   7,   1, 109999136, 110077400, 110221056, 110039560, 111448472
  4706,  16,  16384,   6391,   7,   9,   2, 111386848, 110185160, 111346048, 111417744, 114060216
  4707,  16,  16384,  40857,   9,   9,   0, 114354784, 112003968, 113922496, 113976496, 114169928
  4708,  16,  16384,  24434,   9,  22,   3, 112968552, 113949352, 114171240, 111720552, 112436968
  4709,  16,  16384,   6216,  22,   7,   3, 112521240, 112516656, 111300960, 109911304, 111449696
  4710,  16,  16384,  46573,   7,   7,   0, 111679728, 110096688, 111068792, 111597664, 110268896
  4711,  16,  16384,   3977,   7,   7,   0, 111374624, 111263336, 111475504, 111411232, 111909352
  4712,  16,  16384,   2860,   7,   6,   1, 103163608, 111221776, 111622728, 111338808, 104436144
  4713,  16,  16384,  35952,   6,  18,   3, 110152888, 110194320, 110135368, 108689016, 112657880
  4714,  16,  16384,  21151,  18,  22,   2, 111357976, 111282896, 112355176, 112352168, 112569552
  4715,  16,  16384,  13918,  22,  12,   3, 112804440, 111348752, 111260912, 112327168, 113905368
  4716,  16,  16384,  33964,  12,  15,   2, 112681352, 113699224, 113812008, 113597640, 111036208
  4717,  16,  16384,  46567,  15,  18,   3, 111569128, 111485376, 111143512, 111463928, 112460568
  4718,  16,  16384,  22501,  18,  19,   1, 106982080, 112312448, 112480416, 111015304, 109868584
  4719,  16,  16384,  24778,  19,  18,   1, 113625608, 113494272, 112963432, 113270416, 111666064
  4720,  16,  16384,    558,  18,  18,   0, 112489520, 112183336, 106652352, 112448296, 112525928
  4721,  16,  16384,  20994,  18,  12,   3, 110091336, 112214872, 112234552, 112284976, 107699992
  4722,  16,  16384,  41437,  12,  13,   1, 112896056, 113043752, 111866616, 113023344, 114079144
  4723,  16,  16384,  49237,  13,   9,   3, 114348592, 114174992, 114211112, 112840928, 113165768
  4724,  16,  16384,  36199,   9,   8,   1, 114169232, 113831192, 114305760, 113065896, 112582736
  4725,  16,  16384,   4291,   8,   2,   3, 113777424, 113519520, 113677344, 113450488, 110587624
  4726,  16,  16384,   5388,   2,   6,   3, 110935616, 110704864, 109521504, 104615008, 109821000
  4727,  16,  16384,  39608,   6,   7,   1, 109763632, 109772952, 109799360, 108667008, 109532216
  4728,  16,  16384,   8712,   7,  10,   2, 111302208, 111140240, 111215560, 110885352, 109909104
  4729,  16,  16384,  14101,  10,   8,   2, 110798584, 110487760, 111037808, 110763984, 113774296
  4730,  16,  16384,  49256,   8,   7,   2, 113700024, 113570072, 113979400, 113578312, 110764208
  4731,  16,  16384,  40147,   7,  21,   3, 111095200, 110933584, 109422696, 110021304, 116376976
  4732,  16,  16384,  38675,  21,   2,   3, 116127408, 116348176, 115093472, 116091616, 110486736
  4733,  16,  16384,  21957,   2,   4,   2, 109489720, 109023808, 110544352, 110688792, 111338768
  4734,  16,  16384,  32747,   4,  23,   3, 110804168, 111086280, 113818912, 113482944, 112751464
  4735,  16,  16384,   3670,  23,  18,   2, 113127072, 112773352, 112898736, 113012096, 112426504
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  4890,  16,  16384,  41838,   2,   2,   0, 110690696, 110441720, 109280392, 110570496, 110804896
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  4897,  16,  16384,  49085,  17,  13,   2, 116056848, 115947880, 116232824, 115665736, 114262008
  4898,  16,  16384,  15782,  13,  15,   2, 113285064, 108139912, 114027296, 112545800, 110268544
  4899,  16,  16384,  22697,  15,  13,   2, 110397816, 111547992, 111618736, 110217136, 114447264
  4900,  16,  16384,   1934,  13,  23,   3, 114481552, 114111216, 114089800, 113183992, 112101128
  4901,  16,  16384,  40640,  23,  23,   0, 113446888, 111878320, 113133592, 107410688, 113251152
  4902,  16,  16384,  28444,  23,  23,   0, 113530208, 111796496, 111944672, 113157768, 113455264
  4903,  16,  16384,  40316,  23,  22,   1, 113242776, 111700048, 112466552, 112535408, 112432528
  4904,  16,  16384,  29291,  22,  22,   0, 112690544, 112228144, 109810584, 112333560, 111506368
  4905,  16,  16384,   6772,  22,  23,   1, 112378240, 112627752, 111197024, 112443160, 113444504
  4906,  16,  16384,  30919,  23,  21,   2, 113111560, 113130728, 107699472, 112943776, 115798608
  4907,  16,  16384,  27678,  21,  20,   1, 116123840, 114764520, 116120592, 113139632, 115713456
  4908,  16,  16384,  36966,  20,  23,   2, 115405320, 113799608, 114104240, 114573904, 111859456
  4909,  16,  16384,  48907,  23,  22,   1, 111952528, 112987200, 113012728, 113061136, 112490952
  4910,  16,  16384,  27591,  22,  23,   1, 112642408, 112618304, 112446416, 106642592, 113084232
  4911,  16,  16384,  23369,  23,  21,   2, 106416584, 111644328, 112929264, 112944320, 113442000
  4912,  16,  16384,   1561,  21,  20,   1, 115028248, 116338976, 116033232, 115950952, 114353856
  4913,  16,  16384,  10456,  20,   8,   3, 114117512, 115308448, 115793576, 114131280, 113873752
  4914,  16,  16384,  21162,   8,  11,   2, 113415288, 112983408, 113826272, 113731840, 111151840
  4915,  16,  16384,  24086,  11,  10,   1, 111393160, 111522624, 111377568, 110617480, 110525040
  4916,  16,  16384,   5458,  10,   8,   2, 110955904, 109693800, 110768984, 108556984, 113712672
  4917,  16,  16384,   2688,   8,  13,   3, 113648144, 113531072, 113575920, 107461136, 113935584
  4918,  16,  16384,  13803,  13,   5,   3, 114266472, 114246064, 114067864, 113131328, 114143592
  4919,  16,  16384,  40295,   5,   5,   0, 107660312, 112957704, 113995296, 113867968, 114299520
  4920,  16,  16384,  38410,   5,   3,   2, 112904648, 113851304, 113872616, 114006696, 111451664
  4921,  16,  16384,  23896,   3,  17,   3, 110280552, 109918064, 103500120, 111306304, 116249496
  4922,  16,  16384,  37700,  17,   7,   3, 114375000, 115830576, 116121048, 115978120, 111314984
  4923,  16,  16384,  48185,   7,  11,   2, 109386808, 106157896, 109858328, 110349560, 111397720
  4924,  16,  16384,  36593,  11,  11,   0, 111623808, 111137384, 110289928, 111655408, 111860312
  4925,  16,  16384,    107,  11,   9,   2, 110416944, 111329592, 110232392, 110546368, 113314544
  4926,  16,  16384,  49145,   9,   2,   3, 114387280, 114012032, 113790704, 107906344, 111030384
  4927,  16,  16384,  16491,   2,   0,   2, 110797856, 109649184, 110825480, 104462744, 113804280
  4928,  16,  16384,   6367,   0,   3,   2, 112392160, 113791160, 113672064, 113699208, 111062888
  4929,  16,  16384,  22910,   3,   7,   3, 105268256, 111323112, 111533576, 111099784, 108941376
  4930,  16,  16384,  46807,   7,   8,   2, 111802120, 111223408, 110010056, 110481208, 113767536
  4931,  16,  16384,  32688,   8,   8,   0, 107739432, 113516488, 112755088, 113826920, 113756824
  4932,  16,  16384,  41274,   8,   9,   1, 113703424, 113613920, 111300912, 114064808, 114281168
  4933,  16,  16384,  15629,   9,   9,   0, 114232896, 107937712, 114188416, 113965784, 113921272
  4934,  16,  16384,  22048,   9,   9,   0, 114316712, 112872824, 114336208, 114204368, 112169816
  4935,  16,  16384,  18443,   9,   3,   3, 113817000, 113395984, 114210688, 114073336, 111384136
  4936,  16,  16384,  33448,   3,  21,   3, 111479304, 111441360, 110252584, 103959832, 116204168
  4937,  16,  16384,  35123,  21,  22,   2, 115992248, 114568976, 110190120, 115899360, 112749920
  4938,  16,  16384,  36822,  22,  23,   1, 112572496, 110920536, 112520048, 110917096, 107759152
  4939,  16,  16384,  35283,  23,  22,   1, 113222256, 113016800, 111819008, 113037656, 112586976
  4940,  16,  16384,  49665,  22,  23,   1, 106874248, 112246048, 111336304, 112419664, 111766568
  4941,  16,  16384,  30036,  23,  23,   0, 111651208, 108966456, 113077752, 111899152, 113465016
  4942,  16,  16384,   6992,  23,   6,   3, 113781456, 113095936, 113288600, 111786536, 108850944
  4943,  16,  16384,   9498,   6,   6,   0, 110176800, 109892088, 109993424, 110269368, 110215416
  4944,  16,  16384,  44241,   6,   9,   2, 104452928, 108807400, 110074776, 110175208, 108210456
  4945,  16,  16384,   9316,   9,   9,   0, 114006840, 112934008, 114098952, 112895864, 114255856
  4946,  16,  16384,  15121,   9,   9,   0, 112922952, 114188688, 113959368, 113965824, 114001504
  4947,  16,  16384,  34387,   9,   8,   1, 114246904, 114045576, 114096664, 108036488, 112618936
  4948,  16,  16384,  45175,   8,  23,   3, 113527032, 113649952, 112520504, 113675808, 113508256
  4949,  16,  16384,  48911,  23,  22,   1, 113460480, 111600512, 112870520, 113304336, 112405000
  4950,  16,  16384,  45191,  22,  23,   1, 112679768, 112519344, 112359888, 111155904, 113750568
  4951,  16,  16384,  27522,  23,  23,   0, 113291040, 113234456, 111744256, 113247400, 110652928
  4952,  16,  16384,  23892,  23,  18,   2, 113564464, 113452808, 113254304, 112971288, 110624000
  4953,  16,  16384,  35812,  18,  23,   2, 112522240, 112362640, 112319320, 109819200, 113285624
  4954,  16,  16384,  48754,  23,  13,   3, 113415696, 110849424, 113193920, 113230728, 114201624
  4955,  16,  16384,  24243,  13,  20,   3, 114118216, 114172504, 113885352, 113492864, 113175048
  4956,  16,  16384,  21283,  20,  22,   2, 115439104, 115258336, 115403920, 114182680, 112611624
  4957,  16,  16384,  20793,  22,   9,   3, 111517856, 112482968, 111130864, 112213704, 114290664
  4958,  16,  16384,  24807,   9,   9,   0, 113533760, 114386048, 114150456, 114585152, 113248856
  4959,  16,  16384,  43390,   9,   9,   0, 113090168, 113280976, 113726008, 107934072, 114121928
  4960,  16,  16384,  28864,   9,   8,   1, 114218440, 114001768, 112827976, 114047904, 113930680
  4961,  16,  16384,  37672,   8,  10,   2, 112720368, 113591824, 113633200, 113762336, 110850256
  4962,  16,  16384,  27455,  10,  11,   1, 110819000, 109438784, 109601104, 110603984, 111558544
  4963,  16,  16384,  42925,  11,   4,   3, 111777856, 111532408, 110278896, 111530360, 113901256
  4964,  16,  16384,  38840,   4,   4,   0, 113851592, 113616776, 112712208, 112541320, 114100040
  4965,  16,  16384,  10950,   4,   1,   2, 112716360, 113864488, 113615056, 112948184, 113852000
  4966,  16,  16384,  25270,   1,   0,   1, 111519968, 113008184, 114280160, 114303560, 113201696
  4967,  16,  16384,  46828,   0,   5,   2, 113365792, 113627520, 112368120, 113728520, 114117360
  4968,  16,  16384,  19764,   5,   6,   3, 114330168, 111748568, 113637632, 113199408, 110136400
  4969,  16,  16384,  16467,   6,   9,   2, 108808936, 110442936, 109941280, 108613448, 114226352
  4970,  16,  16384,  27351,   9,   8,   1, 114632712, 113928744, 113935984, 114006976, 113643608
  4971,  16,  16384,   8574,   8,  10,   2, 113213624, 108899976, 110562960, 112551328, 109564080
  4972,  16,  16384,  12492,  10,   9,   2, 111068760, 110870056, 110081368, 104468824, 114255784
  4973,  16,  16384,  34084,   9,   9,   0, 114376376, 111406360, 107812536, 113899896, 113437896
  4974,  16,  16384,  10583,   9,   9,   0, 114395208, 114031768, 114033128, 113167848, 114189608
  4975,  16,  16384,  47486,   9,  19,   3, 114249472, 114002872, 113964024, 113131872, 113405512
  4976,  16,  16384,  12242,  19,  20,   2, 113387448, 113193664, 113091128, 113036304, 115522928
  4977,  16,  16384,  40119,  20,  20,   0, 115496104, 115383752, 115382624, 115483808, 114138600
  4978,  16,  16384,   2040,  20,  21,   1, 113062856, 114411768, 115346184, 115377864, 115994384
  4979,  16,  16384,   2014,  21,  22,   2, 116373256, 110005336, 115945440, 115791392, 111382712
  4980,  16,  16384,   7589,  22,  14,   3, 112591368, 112324200, 112319848, 112236952, 111025096
  4981,  16,  16384,  10080,  14,  14,   0, 110025128, 111046144, 110921592, 109648024, 103689048
  4982,  16,  16384,  37088,  14,  14,   0, 111172808, 110862176, 109824016, 110755792, 111015800
  4983,  16,  16384,  49762,  14,  17,   2, 110930504, 110676040, 110059248, 110997912, 115981080
  4984,  16,  16384,  38933,  17,  17,   0, 115941192, 115673072, 115712336, 115584184, 116305376
  4985,  16,  16384,  12518,  17,  14,   2, 114845184, 114581472, 115948840, 115889160, 110936648
  4986,  16,  16384,  17983,  14,   1,   3, 111240552, 109454264, 103597456, 110912584, 113930896
  4987,  16,  16384,  21397,   1,   4,   2, 107738576, 113664888, 113840104, 112724208, 112313216
  4988,  16,  16384,  16621,   4,   4,   0, 113000112, 113242480, 113677088, 113744816, 113811384
  4989,  16,  16384,  20320,   4,   5,   1, 113986880, 113644288, 112285056, 113842872, 113002160
  4990,  16,  16384,  11864,   5,   4,   1, 114011776, 114146056, 112920520, 113642360, 114004048
  4991,  16,  16384,  39666,   4,   1,   2, 114066392, 113631816, 113978448, 113829592, 114138552
  4992,  16,  16384,  34182,   1,   1,   0, 113000080, 113921056, 114029528, 112036112, 114188832
  4993,  16,  16384,  42673,   1,   9,   3, 112970912, 112859936, 114031968, 113699872, 114262128
  4994,  16,  16384,   7043,   9,   8,   1, 114408504, 114111928, 108229072, 113632936, 112657800
  4995,  16,  16384,  38741,   8,   9,   1, 113380824, 112586032, 113482488, 113760552, 114356080
  4996,  16,  16384,   6076,   9,   6,   2, 114203000, 114135464, 113930264, 113971976, 110134520
  4997,  16,  16384,  28971,   6,   6,   0, 110211872, 109670456, 108611464, 108881288, 110273232
  4998,  16,  16384,  41553,   6,   0,   3, 110276944, 102125136, 110099488, 110186096, 112371016
  4999,  16,  16384,  43723,   0,  20,   3, 107360824, 113479224, 112451104, 112293152, 109619800
  5000,  16,  16384,  43344,  20,  18,   2, 115682648, 115587176, 115455144, 115261464, 112472816
  5001,  16,  16384,  30278,  18,  18,   0, 112503984, 112368424, 112227576, 112276336, 111488128
  5002,  16,  16384,  30247,  18,  12,   3, 106780496, 112276928, 112219496, 111030568, 113989656
  5003,  16,  16384,  18987,  12,  12,   0, 113944248, 113749672, 113338848, 112532216, 107464288
  5004,  16,  16384,  46782,  12,  13,   1, 113654928, 112657840, 113735352, 112374704, 114185488
  5005,  16,  16384,   2856,  13,   8,   3, 114450936, 114434928, 114157272, 113910592, 113499352
  5006,  16,  16384,  32566,   8,   9,   1, 112662432, 113692728, 113979912, 112538744, 113161336
  5007,  16,  16384,  24756,   9,   8,   1, 114335216, 112893624, 113680208, 113765456, 113675504
  5008,  16,  16384,  39233,   8,   8,   0, 113680048, 112977304, 113224440, 113803272, 112742208
  5009,  16,  16384,  41563,   8,   9,   1, 113933912, 112542976, 114136464, 113764024, 114229032
  5010,  16,  16384,  42598,   9,   0,   3, 114181936, 112934704, 113412952, 113722944, 113582584
  5011,  16,  16384,  15247,   0,   0,   0, 112642920, 113548528, 113445296, 112280184, 113828064
  5012,  16,  16384,  44394,   0,   3,   2, 111843704, 113207520, 113702112, 113870552, 111445888
  5013,  16,  16384,  47969,   3,   3,   0, 111455248, 111480920, 111374592, 111155016, 109340696
  5014,  16,  16384,  11814,   3,  12,   3, 111636208, 110776512, 111447112, 111370928, 114074656
  5015,  16,  16384,  28203,  12,  12,   0, 112510984, 112542040, 113535488, 112112080, 113717408
  5016,  16,  16384,  22104,  12,   4,   3, 113881344, 112424768, 113750080, 113678008, 112431776
  5017,  16,  16384,  11768,   4,   4,   0, 114198272, 113838944, 107493168, 113648088, 113993880
  5018,  16,  16384,  29300,   4,   5,   1, 113977024, 112956968, 112971312, 113384248, 113967888
  5019,  16,  16384,  41063,   5,   5,   0, 108200880, 113935128, 113908968, 114061128, 114155272
  5020,  16,  16384,  40096,   5,   5,   0, 112995424, 114189368, 113952536, 112697952, 111680112
  5021,  16,  16384,  31103,   5,   2,   2, 114047848, 113928016, 114238952, 107859992, 108266032
  5022,  16,  16384,  42674,   2,   2,   0, 109679768, 106004512, 110932592, 110894696, 110836400
  5023,  16,  16384,  18906,   2,   4,   2, 110922808, 109583032, 110558064, 110857104, 113713624
  5024,  16,  16384,  18144,   4,   2,   2, 113572512, 107580040, 113549280, 113609928, 110889160
  5025,  16,  16384,   9235,   2,   4,   2, 110650544, 110740792, 110723296, 109472624, 113867320
  5026,  16,  16384,  43588,   4,   4,   0, 113806368, 112517008, 113711624, 113985240, 112347104
  5027,  16,  16384,  15977,   4,   1,   2, 113847848, 112598832, 113320688, 112717752, 112720048
  5028,  16,  16384,  15525,   1,   0,   1, 114084136, 114038264, 113979752, 113568112, 107368640
  5029,  16,  16384,   1327,   0,   2,   2, 113506896, 113729216, 113590536, 112483960, 110828824
  5030,  16,  16384,  36290,   2,   0,   2, 110893560, 109631312, 111005352, 111180768, 114015984
  5031,  16,  16384,  19475,   0,  13,   3, 112817480, 113678704, 107595216, 113458680, 114344616
  5032,  16,  16384,  41294,  13,  22,   3, 114462248, 111767808, 108997960, 113352304, 106882344
  5033,  16,  16384,   6578,  22,  23,   1, 111666808, 111819736, 112356768, 112466160, 110709672
  5034,  16,  16384,  38449,  23,  14,   3, 113238712, 113483992, 112872928, 112019712, 111023536
  5035,  16,  16384,  34311,  14,  14,   0, 109669744, 110566688, 109592080, 110525008, 110825296
  5036,  16,  16384,  25002,  14,   0,   3, 110248224, 109991192, 110861808, 110699064, 113791584
  5037,  16,  16384,   4316,   0,   0,   0, 113847448, 113790040, 113479496, 112285752, 113549432
  5038,  16,  16384,  31459,   0,   0,   0, 114054544, 112569344, 108526376, 112817200, 112860600
  5039,  16,  16384,  23180,   0,   5,   2, 112773328, 113315888, 113441272, 113875280, 114051760
  5040,  16,  16384,   6565,   5,   5,   0, 114384664, 114163096, 114009304, 107898024, 113918680
  5041,  16,  16384,  22944,   5,   4,   1, 113965128, 113605440, 113712880, 111753040, 113804128
  5042,  16,  16384,  46811,   4,   4,   0, 113973384, 113668256, 112471392, 113857344, 112729584
  5043,  16,  16384,  40583,   4,   1,   2, 107685936, 113356744, 112425816, 113585328, 111615024
  5044,  16,  16384,  15970,   1,   1,   0, 109191592, 112906376, 113924312, 114093872, 114052368
  5045,  16,  16384,  49466,   1,   0,   1, 114216984, 113691800, 114173032, 113651720, 112776832
  5046,  16,  16384,  49580,   0,   3,   2, 113795832, 113825920, 113812688, 114063968, 109147544
  5047,  16,  16384,  22637,   3,   2,   1, 111527648, 110036392, 105289384, 111189856, 107954128
  5048,  16,  16384,  15571,   2,   5,   2, 110967080, 110860504, 110496536, 111029632, 112996360
  5049,  16,  16384,  21838,   5,   0,   2, 108075552, 113908944, 113823016, 114093384, 112416736
  5050,  16,  16384,  33118,   0,   0,   0, 113790584, 112247808, 112463968, 113499784, 113821992
  5051,  16,  16384,  36080,   0,  19,   3, 113758648, 113560192, 113328968, 113013952, 107371808
  5052,  16,  16384,  35089,  19,  18,   1, 113300616, 113068928, 112985520, 113115448, 112764816
  5053,  16,  16384,   7465,  18,  21,   2, 112612376, 112197440, 112250864, 112524360, 114755752
  5054,  16,  16384,   5551,  21,  20,   1, 115978296, 116010280, 115989224, 116053096, 116036952
  5055,  16,  16384,  27690,  20,  20,   0, 114231736, 115639376, 115302928, 115061080, 115484392
  5056,  16,  16384,  27694,  20,  19,   2, 115682600, 115293912, 114221064, 109567296, 113450448
  5057,  16,  16384,  43005,  19,  23,   2, 113085176, 112934816, 113309560, 113372040, 113349296
  5058,  16,  16384,  29622,  23,  23,   0, 109233072, 113342624, 112486576, 112449496, 113388904
  5059,  16,  16384,    452,  23,  14,   3, 107600232, 112986328, 113412712, 113020992, 111052048
  5060,  16,  16384,   2531,  14,   3,   3, 110800584, 110810168, 108964984, 110704632, 110843608
  5061,  16,  16384,  31742,   3,  21,   3, 105725704, 110975744, 111079304, 109857200, 113361208
  5062,  16,  16384,   1689,  21,  20,   1, 116295048, 115895360, 115806592, 114692848, 115299816
  5063,  16,  16384,   9885,  20,  22,   2, 115396944, 115575176, 115429376, 109429976, 112662288
  5064,  16,  16384,  36884,  22,  19,   2, 112565368, 112448584, 111273720, 112432688, 113179728
  5065,  16,  16384,  20487,  19,  19,   0, 110865552, 113286312, 113032592, 105789168, 112023368
  5066,  16,  16384,  11261,  19,   7,   3, 113387704, 113320664, 112953472, 113225328, 111523056
  5067,  16,  16384,   9462,   7,   6,   1, 111813432, 111239336, 110370152, 109897736, 110125392
  5068,  16,  16384,   8193,   6,   9,   2, 107539488, 110003032, 110377632, 110072088, 114243176
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  5230,  16,  16384,  28476,  17,  12,   2, 116108576, 115931960, 115900768, 116031216, 113859448
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  5232,  16,  16384,  32246,   9,   8,   1, 114448136, 112775776, 114185248, 113999336, 113895728
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  5380,  16,  16384,  16350,   8,  23,   3, 111199088, 113571008, 113515504, 113523824, 110853104
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  5397,  16,  16384,  31639,  22,  23,   1, 112672144, 112413488, 112214824, 111020912, 106595072
  5398,  16,  16384,  41123,  23,  19,   2, 113606296, 113351648, 113270912, 112219072, 112188128
  5399,  16,  16384,   4192,  19,  23,   2, 113560208, 111800992, 113046920, 113117352, 112333952
  5400,  16,  16384,  42876,  23,   2,   3, 113510808, 112644944, 112707952, 113354368, 110572096
  5401,  16,  16384,  39196,   2,   3,   1, 110638704, 109302816, 108274832, 110755288, 111428464
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  5433,  16,  16384,  32300,   6,   3,   3, 110353184, 110132936, 110113424, 108597024, 111718024
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  5435,  16,  16384,  29926,   3,  19,   3, 111699416, 111402584, 111165800, 105634304, 112139384
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  5437,  16,  16384,   4547,  18,  15,   3, 111230456, 111197640, 112393768, 112381800, 110422632
  5438,  16,  16384,  21654,  15,  12,   2, 110824776, 111626720, 111621576, 111656112, 113680280
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  5444,  16,  16384,  47470,   6,   3,   3, 103327784, 109791136, 109924688, 110205360, 111654312
  5445,  16,  16384,  26279,   3,   4,   2, 111401448, 111511880, 111214816, 104135640, 113637992
  5446,  16,  16384,  37783,   4,   1,   2, 112958768, 112553008, 105702680, 113798640, 113984024
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  5461,  16,  16384,  27111,  13,  20,   3, 114504224, 113848592, 113927592, 113870768, 115416616
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  5468,  16,  16384,  46250,   1,   4,   2, 114031192, 113779528, 114251696, 113933432, 113727632
  5469,  16,  16384,    993,   4,   4,   0, 113898584, 113989496, 113364856, 113567856, 114197880
  5470,  16,  16384,  24845,   4,   4,   0, 114202688, 112371440, 113882936, 112834640, 114152392
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  5475,  16,  16384,   7955,   7,   6,   1, 111591368, 110426400, 110870104, 110193784, 110021008
  5476,  16,  16384,  37126,   6,   2,   3, 105692120, 107689648, 110112696, 109968440, 111052088
  5477,  16,  16384,   5937,   2,  18,   3, 104952192, 109149296, 110776960, 110635320, 108931496
  5478,  16,  16384,  17120,  18,  19,   1, 112568976, 112458976, 112514288, 112613672, 107819888
  5479,  16,  16384,   1399,  19,  22,   2, 113393256, 112817088, 111733072, 112020184, 112641360
  5480,  16,  16384,  40646,  22,  18,   2, 112772216, 111342952, 112627768, 112545336, 112539608
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  5484,  16,  16384,  29209,  18,   9,   3, 112455032, 111589488, 109522600, 112293016, 114032704
  5485,  16,  16384,  21521,   9,  10,   2, 114241440, 107917464, 113019912, 114064352, 111068344
  5486,  16,  16384,  39214,  10,   7,   2, 108292640, 111127352, 110981688, 110001704, 107860968
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  5489,  16,  16384,   9980,  20,  20,   0, 109940072, 115344744, 114177192, 115659800, 115568328
  5490,  16,  16384,  29724,  20,   5,   3, 115389912, 114105400, 114168480, 115411760, 113313208
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  5492,  16,  16384,  26599,   2,   2,   0, 111069176, 110831544, 110938952, 110784376, 108299952
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  5494,  16,  16384,  23221,   1,  14,   3, 114151816, 114130560, 112958112, 114029416, 110938536
  5495,  16,  16384,  35219,  14,  22,   3, 111082008, 109678728, 108347576, 110859672, 111802200
  5496,  16,  16384,  25067,  22,  14,   3, 112553600, 112547232, 112749712, 111453424, 111008680
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  5499,  16,  16384,    488,  16,   0,   3, 115532136, 114099720, 114171472, 115302048, 113772456
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  5515,  16,  16384,  25108,   2,   7,   3, 109855920, 109661856, 110662368, 110592872, 110350016
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  5517,  16,  16384,  37227,  12,  14,   2, 112546264, 113600784, 109233264, 111852272, 111026736
  5518,  16,  16384,  30087,  14,   0,   3, 110890448, 110874832, 109900040, 111002592, 112398384
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  5520,  16,  16384,  38064,   1,   4,   2, 114036760, 112584392, 114055800, 112873056, 113878256
  5521,  16,  16384,  34147,   4,   4,   0, 112476992, 114031528, 112892432, 113718688, 113709672
  5522,  16,  16384,  22276,   4,   4,   0, 113191472, 113729280, 113784136, 107370560, 113555512
  5523,  16,  16384,  21683,   4,   2,   2, 112863176, 113826008, 113830728, 112435520, 110694872
  5524,  16,  16384,  11924,   2,   3,   1, 109765624, 109336320, 110781680, 109585696, 111271952
  5525,  16,  16384,  33487,   3,   3,   0, 110286152, 111547176, 111581848, 111310416, 111566512
  5526,  16,  16384,  32190,   3,   1,   2, 111590696, 108989904, 111515608, 111278144, 114046960
  5527,  16,  16384,   9638,   1,   0,   1, 114230200, 111492688, 113955840, 114101760, 113819296
  5528,  16,  16384,   2537,   0,   0,   0, 113767096, 111249200, 113798192, 113581184, 113631208
  5529,  16,  16384,   4606,   0,   1,   1, 112476032, 113843080, 113711840, 113499696, 114050808
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  5531,  16,  16384,  40006,   3,  20,   3, 111712888, 111222296, 109911768, 105908184, 115772440
  5532,  16,  16384,  15574,  20,  23,   2, 115696112, 114414144, 115132464, 115392000, 113123008
  5533,  16,  16384,  46571,  23,  23,   0, 113206624, 107604480, 113191600, 113283616, 110980736
  5534,  16,  16384,   7032,  23,  23,   0, 113579760, 112269616, 113206368, 113657208, 113725984
  5535,  16,  16384,   4445,  23,  21,   2, 113337920, 113068616, 113012432, 113101848, 116249064
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  5537,  16,  16384,  32024,  22,   4,   3, 105739944, 110205688, 112316096, 112268864, 114157200
  5538,  16,  16384,  48402,   4,   2,   2, 111654520, 113447888, 107808192, 113782584, 110681136
  5539,  16,  16384,  36155,   2,   1,   2, 111097440, 110746840, 102115360, 110002440, 114150744
  5540,  16,  16384,  32725,   1,  15,   3, 114223504, 112893216, 113760144, 113658128, 111687720
  5541,  16,  16384,  49803,  15,   0,   3, 111461008, 111423128, 111528984, 111400072, 112605376
  5542,  16,  16384,  37005,   0,   2,   2, 107673008, 112295560, 111741240, 113197496, 111068144
  5543,  16,  16384,  28736,   2,   3,   1, 109712192, 110733720, 110765304, 111021816, 110319104
  5544,  16,  16384,  35096,   3,   0,   2, 111508688, 111450184, 111622384, 111592608, 113902696
  5545,  16,  16384,  37851,   0,   1,   1, 113715272, 113627704, 113634184, 113577960, 112881104
  5546,  16,  16384,   2409,   1,  23,   3, 114214632, 113740224, 113964016, 113905760, 112938464
  5547,  16,  16384,  12094,  23,  22,   1, 106284640, 111860232, 113353520, 113193360, 112644304
  5548,  16,  16384,  11211,  22,  18,   2, 112891104, 109981368, 106975928, 112301400, 111148096
  5549,  16,  16384,  45395,  18,  20,   2, 112776464, 112387648, 112607736, 112691384, 115768664
  5550,  16,  16384,  19483,  20,  21,   1, 115808632, 115432120, 115129872, 115820040, 115767216
  5551,  16,  16384,  26874,  21,   8,   3, 114677864, 115692088, 114341336, 116066240, 113711536
  5552,  16,  16384,  22506,   8,   9,   1, 113704160, 113589312, 113875216, 113718920, 113477008
  5553,  16,  16384,  26517,   9,   9,   0, 114335976, 114062024, 112994656, 114024296, 112749088
  5554,  16,  16384,  41832,   9,   6,   2, 114510408, 113932088, 114008320, 114041776, 110337072
  5555,  16,  16384,  20958,   6,   5,   3, 110245128, 109119432, 108643512, 109850744, 114155056
  5556,  16,  16384,  11369,   5,   4,   1, 113184896, 111433736, 113784728, 114068344, 112888376
  5557,  16,  16384,  45322,   4,  19,   3, 114098456, 112918072, 113472936, 113507872, 112288136
  5558,  16,  16384,   1957,  19,  21,   2, 113437712, 112103312, 113450520, 113306032, 116273608
  5559,  16,  16384,  16505,  21,  23,   2, 116057384, 115616632, 115774224, 115992832, 113352024
  5560,  16,  16384,  32111,  23,  23,   0, 113480896, 111978040, 113146016, 112084000, 113475704
  5561,  16,  16384,  36452,  23,  22,   1, 113690984, 111945536, 113219864, 112989280, 112495056
  5562,  16,  16384,    713,  22,   3,   3, 111138160, 112623600, 111065536, 112524864, 109979720
  5563,  16,  16384,   2369,   3,  15,   3, 111498552, 111229368, 111303960, 110055280, 111589120
  5564,  16,  16384,  41645,  15,  12,   2, 111897528, 111445400, 109286912, 111521000, 113203080
  5565,  16,  16384,   5125,  12,  12,   0, 112883432, 113446072, 113374448, 112622568, 113661168
  5566,  16,  16384,  38385,  12,  16,   2, 112581032, 107607544, 113633856, 113679152, 115564192
  5567,  16,  16384,  48308,  16,  16,   0, 115424576, 115347312, 114168936, 115299320, 115537256
  5568,  16,  16384,  30080,  16,   1,   3, 115702192, 114279328, 114630392, 113834928, 114339656
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  5603,  16,  16384,  43753,   4,   5,   1, 113804864, 113193120, 105358840, 113635456, 113997984
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  5609,  16,  16384,    987,   2,  12,   3, 109666360, 110713272, 104584408, 111047424, 113218160
  5610,  16,  16384,  47093,  12,  12,   0, 113768568, 113754800, 113661336, 113389200, 113920648
  5611,  16,  16384,   9193,  12,  14,   2, 113694880, 112666008, 113286600, 113827608, 111059880
  5612,  16,  16384,  28883,  14,  13,   2, 109746144, 105417128, 109878408, 110603024, 112981832
  5613,  16,  16384,   8467,  13,  17,   2, 114131040, 114163264, 107780120, 112756368, 114131560
  5614,  16,  16384,  49910,  17,  16,   1, 115439520, 116116128, 116098048, 115905136, 115965720
  5615,  16,  16384,  18500,  16,  17,   1, 115440848, 114270536, 115705992, 115471696, 116045864
  5616,  16,  16384,   3790,  17,  16,   1, 114706072, 114502592, 116018184, 115894504, 114730280
  5617,  16,  16384,   8296,  16,  16,   0, 115656816, 115417272, 115193280, 114173808, 115897128
  5618,  16,  16384,    321,  16,  16,   0, 115533408, 113955984, 115536136, 115489128, 114485680
  5619,  16,  16384,  31790,  16,  15,   2, 115574720, 107227888, 114380544, 115044080, 111382912
  5620,  16,  16384,   4663,  15,   3,   3, 111453552, 111192656, 110207320, 111283096, 111563144
  5621,  16,  16384,  15682,   3,   2,   1, 111240568, 111469232, 111354936, 111146904, 109686576
  5622,  16,  16384,  30287,   2,   3,   1, 111103264, 110737296, 111135328, 110818424, 110406848
  5623,  16,  16384,  49916,   3,   2,   1, 111123736, 111199848, 111410616, 111088536, 110944896
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  5626,  16,  16384,   3269,   1,   1,   0, 114343208, 114106896, 113977264, 112936144, 113980184
  5627,  16,  16384,  38422,   1,  11,   3, 114236032, 112618056, 111798288, 114039632, 111404680
  5628,  16,  16384,  47853,  11,  10,   1, 111629992, 111548136, 111404840, 111472752, 109587360
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  5630,  16,  16384,    678,   5,  13,   3, 114206992, 114273696, 113866568, 114019680, 114423112
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  5633,  16,  16384,  34037,  21,  21,   0, 116217824, 114774936, 115568328, 115621096, 116236592
  5634,  16,  16384,  18304,  21,  21,   0, 116326752, 114619664, 114295472, 109086832, 116138240
  5635,  16,  16384,   5323,  21,  21,   0, 116020032, 115480392, 115918536, 114501296, 116212632
  5636,  16,  16384,  13881,  21,  21,   0, 116129968, 115819864, 115792592, 114677256, 115904288
  5637,  16,  16384,  38231,  21,  22,   2, 113327672, 116053224, 109937616, 115658960, 112432392
  5638,  16,  16384,  43450,  22,   5,   3, 112643472, 112337536, 112583080, 112614968, 108135368
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  5640,  16,  16384,  34235,   5,  23,   3, 112845872, 113753952, 113987008, 114099240, 113529712
  5641,  16,  16384,  46418,  23,  11,   3, 113636840, 113388472, 113269832, 113295784, 111321176
  5642,  16,  16384,  40205,  11,   1,   3, 106221520, 110950448, 110257520, 111646792, 113923864
  5643,  16,  16384,  48660,   1,   1,   0, 114143064, 113892224, 114026224, 113678288, 114177736
  5644,  16,  16384,  14533,   1,   0,   1, 114323952, 106881472, 113143584, 112606120, 107591488
  5645,  16,  16384,  11717,   0,  23,   3, 113626080, 113660048, 113481856, 112300656, 113213200
  5646,  16,  16384,   8133,  23,  19,   2, 113397320, 112055920, 113343816, 112040728, 113710680
  5647,  16,  16384,  32592,  19,  18,   1, 113147056, 111840520, 107554336, 112818224, 112374688
  5648,  16,  16384,  17719,  18,   5,   3, 112684952, 110937184, 111137296, 106675696, 114230264
  5649,  16,  16384,     81,   5,  12,   3, 112950424, 114061824, 113006512, 113762392, 113537560
  5650,  16,  16384,  25562,  12,   1,   3, 113796040, 113426304, 113553808, 113767736, 113950184
  5651,  16,  16384,  19670,   1,   7,   3, 114437072, 114112528, 113996472, 112738304, 111537056
  5652,  16,  16384,   8399,   7,  20,   3, 110098160, 111342256, 110405552, 111312536, 115425472
  5653,  16,  16384,  30379,  20,  20,   0, 115386584, 114275976, 115369848, 114283656, 109813648
  5654,  16,  16384,  16663,  20,  20,   0, 114272792, 115646560, 114288352, 115637408, 115740816
  5655,  16,  16384,   7003,  20,  17,   3, 115594584, 115361544, 115019192, 114219640, 116112256
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  5657,  16,  16384,  25396,  14,  20,   3, 111404088, 110973952, 104777872, 110839352, 114296336
  5658,  16,  16384,  16539,  20,  22,   2, 115478520, 114369056, 115435144, 115335440, 112391208
  5659,  16,  16384,   9528,  22,  22,   0, 112406928, 112550328, 112545192, 112320640, 111074384
  5660,  16,  16384,  22076,  22,  19,   2, 112587864, 112602632, 112530232, 109278848, 111863304
  5661,  16,  16384,  25773,  19,  19,   0, 113460056, 112866504, 106119864, 113129672, 113506720
  5662,  16,  16384,  31058,  19,   6,   3, 113336248, 113358672, 113251256, 112887848, 109587360
  5663,  16,  16384,  20798,   6,   7,   1, 110205024, 108446048, 110023872, 110238992, 109038576
  5664,  16,  16384,  45890,   7,   0,   3, 111682200, 111531480, 111231016, 111164368, 114248984
  5665,  16,  16384,  25845,   0,   1,   1, 112805256, 113718808, 113551200, 113840448, 107920384
  5666,  16,  16384,   9005,   1,   5,   2, 112945544, 113715192, 112799728, 113711976, 111671416
  5667,  16,  16384,  31799,   5,   5,   0, 114029392, 114328728, 113993248, 114059232, 114321504
  5668,  16,  16384,  29990,   5,   4,   1, 114147608, 113813088, 113869128, 112395024, 113764128
  5669,  16,  16384,  26283,   4,   4,   0, 113660928, 112192912, 112694864, 112538848, 113864120
  5670,  16,  16384,  29644,   4,   5,   1, 113801096, 113833552, 113966520, 112896408, 113708248
  5671,  16,  16384,  26709,   5,   3,   2, 114082792, 112758296, 111610816, 114090224, 111581672
  5672,  16,  16384,  11940,   3,   7,   3, 111611240, 111565048, 111502712, 103418560, 104196632
  5673,  16,  16384,  10385,   7,   7,   0, 110405160, 111267728, 111494096, 111093032, 110539128
  5674,  16,  16384,  35507,   7,   6,   1, 111345336, 111160280, 111179592, 111510856, 110276320
  5675,  16,  16384,  42353,   6,  10,   2, 110076152, 109065968, 109893424, 108973528, 110837784
  5676,  16,  16384,   1519,  10,  13,   3, 103837992, 110554240, 109685568, 110600736, 114318336
  5677,  16,  16384,  28721,  13,  12,   1, 113332024, 113897448, 113999008, 114063160, 113622576
  5678,  16,  16384,  17120,  12,   6,   3, 112624448, 114008784, 113295528, 107591968, 104316040
  5679,  16,  16384,  13573,   6,   7,   1, 110105752, 108803664, 109708720, 110026048, 105624944
  5680,  16,  16384,  37188,   7,  18,   3, 109248448, 111117016, 111781208, 111394432, 111214784
  5681,  16,  16384,  11439,  18,  18,   0, 112600032, 111369304, 112617728, 111164024, 112757576
  5682,  16,  16384,  31692,  18,   2,   3, 112193088, 112367304, 112358256, 112282840, 109493936
  5683,  16,  16384,  43198,   2,  18,   3, 109697344, 109638464, 109452792, 110947576, 112466592
  5684,  16,  16384,  23267,  18,  19,   1, 111402800, 112575544, 111996840, 111150112, 113360856
  5685,  16,  16384,  49617,  19,  18,   1, 113524056, 111870872, 113020456, 113020776, 112677944
  5686,  16,  16384,  28678,  18,  19,   1, 112746352, 111443160, 112239800, 112133240, 113528008
  5687,  16,  16384,  40899,  19,  19,   0, 107560864, 113063720, 111933408, 113105464, 113098064
  5688,  16,  16384,  18944,  19,  22,   2, 113768176, 113433088, 113022624, 110692096, 112730320
  5689,  16,  16384,  47384,  22,  22,   0, 111489016, 112428248, 112156928, 112473488, 112729256
  5690,  16,  16384,  25617,  22,  23,   1, 112678496, 112403808, 112182960, 112497536, 111170216
  5691,  16,  16384,  48540,  23,  18,   2, 113500176, 113442592, 113004584, 113341696, 110279472
  5692,  16,  16384,  24490,  18,  18,   0, 112297888, 112213384, 112512928, 112545752, 112658392
  5693,  16,  16384,   4749,  18,  18,   0, 111439976, 112268088, 112534544, 111506496, 112522440
  5694,  16,  16384,  25542,  18,  18,   0, 106822080, 111880232, 110891176, 112734792, 112705904
  5695,  16,  16384,  13542,  18,   1,   3, 112618488, 112541688, 111319680, 112527216, 114040000
  5696,  16,  16384,  28660,   1,  10,   3, 113987624, 111311912, 113974696, 113930888, 111094416
  5697,  16,  16384,  15341,  10,  10,   0, 110890048, 110876440, 110865888, 110554408, 110124176
  5698,  16,  16384,  49994,  10,   9,   2, 109965984, 110771160, 110550888, 110012520, 114022016
  5699,  16,  16384,  34374,   9,   9,   0, 112986192, 114164440, 108033408, 113947888, 113322344
  5700,  16,  16384,  43053,   9,  11,   2, 113046608, 113990696, 114243296, 113982160, 111414440
  5701,  16,  16384,    307,  11,   9,   2, 111368680, 111320104, 111502160, 110361624, 108044472
  5702,  16,  16384,  37287,   9,   9,   0, 114281736, 112737600, 113022120, 114200384, 114202400
  5703,  16,  16384,  46043,   9,  23,   3, 114154312, 114144936, 112666840, 114141304, 110820912
  5704,  16,  16384,  25114,  23,  22,   1, 113532512, 113419984, 113317416, 113290424, 111526128
  5705,  16,  16384,  25429,  22,  22,   0, 111805192, 112443792, 112314176, 111187688, 112516040
  5706,  16,  16384,  25514,  22,  21,   2, 112378224, 112355152, 112185472, 111376432, 116188272
  5707,  16,  16384,   9005,  21,  19,   2, 116196240, 115617592, 115845792, 115769480, 113564736
  5708,  16,  16384,  29015,  19,  21,   2, 113441656, 113281096, 110670104, 113156048, 113701544
  5709,  16,  16384,  41675,  21,  20,   1, 113587920, 115548936, 115812696, 115895376, 115641520
  5710,  16,  16384,  48577,  20,  23,   2, 115511728, 115428264, 115345792, 113035768, 113428672
  5711,  16,  16384,  14744,  23,  16,   3, 113395976, 112743672, 112292016, 113197272, 115454040
  5712,  16,  16384,  30825,  16,  16,   0, 115828464, 115656320, 115659688, 115138512, 113446624
  5713,  16,  16384,    315,  16,  16,   0, 115503584, 115602272, 115509984, 114622456, 115106472
  5714,  16,  16384,  11825,  16,  12,   2, 109541144, 114382536, 115580752, 115345840, 113996712
  5715,  16,  16384,  29861,  12,   1,   3, 113810520, 113091944, 113068728, 113865104, 113990040
  5716,  16,  16384,  40501,   1,   5,   2, 113885992, 113739104, 113995480, 112693520, 113923648
  5717,  16,  16384,  43289,   5,  22,   3, 114196608, 113928992, 113944272, 113987264, 111333792
  5718,  16,  16384,  17884,  22,  23,   1, 107205088, 111962608, 111405464, 110929032, 113486000
  5719,  16,  16384,  38091,  23,  23,   0, 112954088, 111260496, 113223424, 113097488, 107441056
  5720,  16,  16384,  16570,  23,  19,   2, 113134568, 112183552, 113285680, 111941448, 107798576
  5721,  16,  16384,   5122,  19,  19,   0, 113651480, 113056224, 112645440, 111226104, 113443784
  5722,  16,  16384,  49872,  19,  18,   1, 113372952, 113327368, 113281616, 112533608, 110171496
  5723,  16,  16384,  42330,  18,  19,   1, 112840000, 112388576, 112480472, 112695648, 113466152
  5724,  16,  16384,  38092,  19,  18,   1, 113346552, 113132032, 113061824, 113146792, 112585344
  5725,  16,  16384,  28420,  18,   5,   3, 110372648, 112431248, 112637672, 112470280, 113889496
  5726,  16,  16384,  25602,   5,   4,   1, 114158192, 114009464, 114152104, 111653824, 114179128
  5727,  16,  16384,  29849,   4,   3,   2, 112366568, 107420952, 113844912, 112908256, 110264424
  5728,  16,  16384,   2866,   3,  19,   3, 105287120, 111429504, 111310632, 111566312, 113470664
  5729,  16,  16384,  30569,  19,  18,   1, 112341912, 113385808, 111971928, 113081496, 112588592
  5730,  16,  16384,  33543,  18,  18,   0, 112566920, 112543736, 112382832, 112320200, 111292736
  5731,  16,  16384,  15005,  18,   8,   3, 112638824, 111309600, 112418280, 112350584, 111278584
  5732,  16,  16384,  32527,   8,  20,   3, 113710544, 113551432, 112507856, 113549744, 109840200
  5733,  16,  16384,  21728,  20,  20,   0, 114038168, 115442056, 115194112, 115129960, 115553880
  5734,  16,  16384,  19770,  20,  20,   0, 115340696, 111740032, 115605016, 115685936, 115488608
  5735,  16,  16384,  37580,  20,   5,   3, 115448648, 115186528, 109440280, 114016464, 113975048
  5736,  16,  16384,  14904,   5,   1,   2, 112817952, 114204952, 113848736, 107800976, 114183200
  5737,  16,  16384,  27427,   1,   8,   3, 114199312, 113709952, 113205152, 113991160, 113053576
  5738,  16,  16384,  20627,   8,   9,   1, 113800264, 113408792, 113413272, 113489312, 113996440
  5739,  16,  16384,  21098,   9,   8,   1, 114044616, 113916704, 113907560, 113993944, 112414096
  5740,  16,  16384,  47453,   8,   9,   1, 113732080, 112423240, 113672392, 113737280, 113033208
  5741,  16,  16384,  47003,   9,   9,   0, 114330664, 114146560, 114139672, 114084456, 113746808
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  5743,  16,  16384,  48389,   1,  10,   3, 113536896, 113229272, 113899968, 113639656, 109810280
  5744,  16,  16384,  45841,  10,  10,   0, 111297760, 110851840, 110997504, 110971504, 110940824
  5745,  16,  16384,  43013,  10,  11,   1, 109724832, 110731928, 110961240, 111053456, 111538600
  5746,  16,  16384,   1492,  11,  10,   1, 110683840, 111253064, 111289424, 111279304, 110749368
  5747,  16,  16384,    693,  10,  11,   1, 105049120, 110485016, 109601304, 110715656, 111423552
  5748,  16,  16384,  25570,  11,   5,   3, 111467568, 110368608, 110350640, 110475336, 113135536
  5749,  16,  16384,  14051,   5,  22,   3, 114057048, 113812008, 114138128, 112006520, 112542016
  5750,  16,  16384,  32765,  22,  23,   1, 112454280, 112386792, 112522120, 112395072, 113501816
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  5754,  16,  16384,  42757,   1,   1,   0, 113060536, 112694336, 114020176, 113805024, 112704224
  5755,  16,  16384,   3923,   1,   0,   1, 114332504, 107505656, 113888192, 113882176, 113747408
  5756,  16,  16384,  17829,   0,   1,   1, 112592520, 113863680, 113552808, 113301448, 113900576
  5757,  16,  16384,  18550,   1,  21,   3, 114463576, 113888536, 112880968, 113779656, 114720264
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  5759,  16,  16384,  37629,  18,  19,   1, 112570544, 112453600, 111198120, 112428792, 113443576
  5760,  16,  16384,   3917,  19,  11,   3, 113678040, 113141848, 112973232, 107426600, 111781552
  5761,  16,  16384,  34060,  11,   6,   2, 110544432, 111160616, 111570216, 107752680, 109848960
  5762,  16,  16384,   5540,   6,   7,   1, 110073696, 109038680, 110086008, 110280688, 110363128
  5763,  16,  16384,  24756,   7,   7,   0, 110338832, 110166944, 111319392, 111568440, 111522904
  5764,  16,  16384,  44278,   7,   8,   2, 110243512, 111380304, 105270544, 111576816, 112803512
  5765,  16,  16384,  26009,   8,   8,   0, 113702904, 112281584, 113852952, 113618968, 112756920
  5766,  16,  16384,  21837,   8,   9,   1, 114133960, 114013688, 113472928, 112302624, 114396136
  5767,  16,  16384,  19553,   9,  10,   2, 114139456, 114141416, 113819248, 114087992, 109791304
  5768,  16,  16384,  14829,  10,   7,   2, 111285760, 110673488, 111063912, 110896128, 106486848
  5769,  16,  16384,    431,   7,   9,   2, 111527904, 111218304, 111731048, 111469992, 114288336
  5770,  16,  16384,   3950,   9,  10,   2, 114388472, 113764424, 108192888, 114070112, 110922824
  5771,  16,  16384,  29685,  10,   5,   3, 111084720, 111045152, 110720744, 111036496, 114223728
  5772,  16,  16384,  10780,   5,   5,   0, 114009304, 112707272, 114159432, 113802584, 112993984
  5773,  16,  16384,  49916,   5,  20,   3, 114141160, 114116312, 113679080, 114035328, 115655560
  5774,  16,  16384,  46649,  20,  21,   1, 115476880, 115220272, 115465848, 115248128, 116147512
  5775,  16,  16384,  23689,  21,  15,   3, 114703432, 116067768, 114607456, 115811080, 111687232
  5776,  16,  16384,  17124,  15,  16,   2, 111702824, 111490288, 105580984, 111378992, 115597672
  5777,  16,  16384,  37655,  16,   8,   3, 114216552, 114125584, 114142240, 109374080, 111624048
  5778,  16,  16384,     77,   8,   9,   1, 113895400, 113632600, 113873416, 113656592, 113947568
  5779,  16,  16384,  25857,   9,  10,   2, 114541416, 112844600, 114153960, 113958360, 110836568
  5780,  16,  16384,  47735,  10,  21,   3, 111030144, 111034304, 110864544, 109742608, 116000168
  5781,  16,  16384,  16065,  21,  21,   0, 110388400, 115729632, 115510968, 115840752, 116035632
  5782,  16,  16384,  11700,  21,  12,   3, 114818416, 113445808, 115709096, 116083144, 113930872
  5783,  16,  16384,  42028,  12,  16,   2, 113597848, 113605184, 113713160, 113730024, 115913032
  5784,  16,  16384,  26870,  16,  12,   2, 115614128, 114356072, 115451032, 115517656, 105298160
  5785,  16,  16384,  36441,  12,  13,   1, 113699856, 114063232, 113333176, 113497608, 113377912
  5786,  16,  16384,  39779,  13,  20,   3, 114160232, 114101760, 113859320, 112972808, 115600752
  5787,  16,  16384,   2460,  20,  21,   1, 113059872, 115408784, 115447744, 115330328, 116288896
  5788,  16,  16384,   4694,  21,  20,   1, 115813160, 109980440, 115742936, 115788320, 115518616
  5789,  16,  16384,  31190,  20,  20,   0, 114365800, 115457928, 114141080, 114437096, 115749816
  5790,  16,  16384,  36741,  20,  23,   2, 115631600, 115665320, 115624000, 114074528, 113375032
  5791,  16,  16384,    789,  23,  22,   1, 113505408, 111854736, 113260368, 113058824, 112738072
  5792,  16,  16384,  15678,  22,   6,   3, 112660480, 112627728, 106768896, 111111128, 110057792
  5793,  16,  16384,  48202,   6,   6,   0, 110076464, 109846688, 108831576, 108736528, 109115696
  5794,  16,  16384,  20564,   6,   8,   2, 110164472, 110000896, 110248504, 110203552, 113481664
  5795,  16,  16384,  43493,   8,   8,   0, 109235032, 111606272, 113572304, 112373280, 112716872
  5796,  16,  16384,  32844,   8,  10,   2, 113793520, 113790264, 112387248, 113780176, 111044088
  5797,  16,  16384,  35349,  10,  20,   3, 109932016, 109763704, 110879576, 110002736, 109937136
  5798,  16,  16384,  45066,  20,   5,   3, 114405416, 114166992, 115500144, 114152592, 114190704
  5799,  16,  16384,  46657,   5,   0,   2, 114322288, 113820208, 113910568, 113939640, 112403896
  5800,  16,  16384,  44424,   0,  21,   3, 113821528, 110924608, 107552744, 113511344, 116306408
  5801,  16,  16384,   6170,  21,  20,   1, 116250832, 116013640, 115903928, 115981608, 114182952
  5802,  16,  16384,  42901,  20,  23,   2, 115524544, 115424824, 115436472, 108392648, 113339576
  5803,  16,  16384,   9288,  23,  17,   3, 113484816, 113104472, 111949912, 113267544, 116188576
  5804,  16,  16384,   4905,  17,  16,   1, 116162384, 115741168, 115885112, 114791688, 114386592
  5805,  16,  16384,  34439,  16,  16,   0, 114518976, 115214800, 115238808, 109616448, 115490536
  5806,  16,  16384,  42643,  16,  15,   2, 115549640, 114243552, 115559648, 114344480, 105744112
  5807,  16,  16384,  46877,  15,  14,   1, 111543072, 110669192, 111467960, 111515776, 109739840
  5808,  16,  16384,  26844,  14,  14,   0, 110146464, 109680792, 110986424, 111014544, 111185616
  5809,  16,  16384,   5695,  14,  15,   1, 110014952, 110712640, 104665520, 110819864, 111408104
  5810,  16,  16384,   8123,  15,  15,   0, 109706880, 111082896, 111738640, 111572688, 110359048
  5811,  16,  16384,  28486,  15,  17,   2, 111953752, 111600872, 111426136, 111733152, 115909856
  5812,  16,  16384,  37048,  17,  14,   2, 112210296, 115990088, 115668880, 115915632, 109064432
  5813,  16,  16384,   1765,  14,  15,   1, 111105896, 110880280, 110726728, 110615016, 111430864
  5814,  16,  16384,  21769,  15,  21,   3, 104733728, 111704496, 111454608, 111756976, 116049048
  5815,  16,  16384,  25873,  21,   0,   3, 116178200, 115856960, 115389384, 109854600, 113384936
  5816,  16,  16384,   4358,   0,   1,   1, 112988600, 112498184, 113821464, 107645024, 113047672
  5817,  16,  16384,  16663,   1,   1,   0, 114168688, 114157328, 113962008, 113903832, 113931136
  5818,  16,  16384,   3971,   1,   3,   2, 112980080, 114113912, 114011632, 111601024, 111592744
  5819,  16,  16384,  37385,   3,   0,   2, 111447960, 110160544, 111373800, 110594272, 113953056
  5820,  16,  16384,  37929,   0,   5,   2, 113545904, 112648480, 113749816, 113767384, 112090456
  5821,  16,  16384,  40081,   5,   5,   0, 114147328, 113993456, 112912088, 113795384, 114166552
  5822,  16,  16384,  28550,   5,   5,   0, 114067752, 113871240, 114139480, 113954680, 113018352
  5823,  16,  16384,  11633,   5,   4,   1, 112950640, 106656352, 113858504, 113959240, 111262240
  5824,  16,  16384,   5160,   4,  15,   3, 110646672, 113799872, 112412976, 113915704, 111683416
  5825,  16,  16384,  30802,  15,  16,   2, 111655104, 110425312, 105541664, 111606136, 115628416
  5826,  16,  16384,  33897,  16,  16,   0, 115757432, 115407688, 114073088, 115476256, 109880640
  5827,  16,  16384,   5243,  16,   1,   3, 114461232, 115246680, 115314528, 115169272, 114193144
  5828,  16,  16384,   9411,   1,   0,   1, 112987328, 114133824, 112642704, 114100008, 113654352
  5829,  16,  16384,  35507,   0,   3,   2, 113967776, 107497504, 112347200, 112435272, 110256104
  5830,  16,  16384,  18220,   3,  20,   3, 111542944, 111355928, 111184464, 111583536, 115715688
  5831,  16,  16384,   2116,  20,  20,   0, 115643136, 115525064, 115540464, 114243328, 114356104
  5832,  16,  16384,  47790,  20,   5,   3, 114844432, 109267872, 115530928, 114411208, 113300400
  5833,  16,  16384,   7200,   5,   4,   1, 114310104, 107731056, 114320528, 113857728, 113861408
  5834,  16,  16384,  37031,   4,   3,   2, 114191088, 112651024, 112603024, 109189280, 111427488
  5835,  16,  16384,  43726,   3,   5,   2, 111435336, 111134200, 111425456, 108847848, 114490152
  5836,  16,  16384,  45120,   5,   4,   1, 114203728, 113782608, 114090024, 114000976, 111360104
  5837,  16,  16384,  13254,   4,   4,   0, 114043552, 113801424, 113930784, 113815632, 114175592
  5838,  16,  16384,   5268,   4,   1,   2, 114008360, 112944640, 113830208, 114099416, 114084672
  5839,  16,  16384,  47257,   1,   0,   1, 114145496, 112247328, 113257504, 107828416, 113701480
  5840,  16,  16384,   4980,   0,   0,   0, 113933896, 113529856, 113929280, 112452256, 113792224
  5841,  16,  16384,  44531,   0,  22,   3, 112730560, 113644000, 107597184, 113359032, 105860264
  5842,  16,  16384,  33568,  22,  22,   0, 112667760, 111138600, 112146144, 111260992, 112533456
  5843,  16,  16384,   3967,  22,   1,   3, 112447368, 112366704, 112567624, 112291872, 112914984
  5844,  16,  16384,  10600,   1,   9,   3, 107920000, 114113488, 111436808, 114077288, 114142064
  5845,  16,  16384,   4202,   9,  11,   2, 114172944, 113956616, 114026008, 114040080, 111838032
  5846,  16,  16384,   2271,  11,  11,   0, 110710200, 111510896, 111539256, 111336848, 105839792
  5847,  16,  16384,  16789,  11,  21,   3, 110271344, 111419808, 111377928, 110304704, 116015048
  5848,  16,  16384,  19246,  21,  12,   3, 116034176, 116058632, 115895240, 115884320, 112639744
  5849,  16,  16384,  36133,  12,   9,   3, 113621440, 113914216, 113614536, 113700392, 114001344
  5850,  16,  16384,  34591,   9,   8,   1, 114102320, 112965672, 114098048, 114108240, 113880136
  5851,  16,  16384,  42109,   8,   2,   3, 113884584, 105209552, 113467184, 113552768, 110773744
  5852,  16,  16384,  46996,   2,  12,   3, 111243336, 111014744, 110651120, 110781296, 112714216
  5853,  16,  16384,  46341,  12,  12,   0, 113782816, 113729056, 112610024, 113837328, 113834056
  5854,  16,  16384,  22520,  12,   1,   3, 107728632, 113413544, 113690760, 112700680, 113959240
  5855,  16,  16384,  37923,   1,   2,   2, 114224208, 113849344, 108460528, 113198824, 109732472
  5856,  16,  16384,  30317,   2,   4,   2, 110830160, 110731664, 110833840, 110798864, 107837496
  5857,  16,  16384,  22297,   4,   4,   0, 112791112, 114037768, 112656544, 113728072, 114077512
  5858,  16,  16384,   1793,   4,   5,   1, 113777984, 112397552, 113759312, 113770648, 113826592
  5859,  16,  16384,  48789,   5,   5,   0, 113728800, 113355696, 112804168, 114007520, 114063400
  5860,  16,  16384,  13972,   5,   3,   2, 113910272, 113996872, 111740648, 113661976, 111830056
  5861,  16,  16384,  19297,   3,  23,   3, 110451160, 111115848, 111210568, 111494376, 113371040
  5862,  16,  16384,  21635,  23,  21,   2, 112311520, 112001736, 113053272, 112130568, 109312736
  5863,  16,  16384,  47342,  21,  19,   2, 116212720, 114304288, 115718432, 115831984, 113139344
  5864,  16,  16384,  35205,  19,   0,   3, 113629624, 112080056, 112819832, 112325904, 113690312
  5865,  16,  16384,   2625,   0,   6,   3, 112723016, 113620200, 112402712, 113572176, 110227600
  5866,  16,  16384,  16598,   6,   7,   1, 105232296, 109658912, 109928296, 108983256, 110336264
  5867,  16,  16384,    266,   7,   7,   0, 111475808, 109959160, 111325800, 111370560, 111453656
  5868,  16,  16384,  35284,   7,  11,   2, 111583832, 111398672, 111407288, 110129824, 111396064
  5869,  16,  16384,   5569,  11,   8,   2, 111559760, 104298448, 109049752, 111498104, 112757392
  5870,  16,  16384,   2909,   8,   9,   1, 113803104, 113927192, 113736136, 113503304, 114062288
  5871,  16,  16384,  43307,   9,   8,   1, 113129496, 114086048, 114195848, 114111568, 112502024
  5872,  16,  16384,     25,   8,  17,   3, 114003464, 113073376, 112774056, 113810488, 115991912
  5873,  16,  16384,   7026,  17,  13,   2, 115953896, 114679568, 115747120, 115801192, 114228752
  5874,  16,  16384,   1612,  13,   3,   3, 108259224, 113864768, 114087352, 114030728, 111600696
  5875,  16,  16384,  49844,   3,   2,   1, 111142472, 110627992, 111474456, 111295112, 109582648
  5876,  16,  16384,  21393,   2,   2,   0, 110813200, 104667712, 109479112, 109456296, 111091728
  5877,  16,  16384,  17478,   2,   3,   1, 110804136, 110512864, 110964136, 110809416, 111552080
  5878,  16,  16384,   2664,   3,   3,   0, 110457096, 111568240, 105791176, 110145640, 110240976
  5879,  16,  16384,  31898,   3,   2,   1, 111528192, 111387400, 111391104, 111204312, 111000800
  5880,  16,  16384,  31448,   2,   3,   1, 111148304, 110737384, 109746464, 109863200, 105522152
  5881,  16,  16384,  29840,   3,  18,   3, 110331496, 110259448, 111329208, 111343824, 112470552
  5882,  16,  16384,  32846,  18,  20,   2, 112517456, 112275992, 112387216, 111249008, 114321752
  5883,  16,  16384,  45056,  20,   1,   3, 115776240, 115422224, 112835568, 115517312, 114260432
  5884,  16,  16384,  42832,   1,   5,   2, 113194784, 114104408, 114038664, 112953952, 113935104
  5885,  16,  16384,  49734,   5,   5,   0, 112897432, 113963056, 112662848, 113775248, 114140304
  5886,  16,  16384,  16431,   5,   3,   2, 114201640, 114340032, 113074304, 114366136, 111662360
  5887,  16,  16384,   9926,   3,   3,   0, 110846336, 110739168, 103093280, 111254536, 110367984
  5888,  16,  16384,   7898,   3,  21,   3, 111732952, 111278160, 111629288, 110123520, 114649176
  5889,  16,  16384,   2678,  21,  21,   0, 116101888, 114661768, 115716576, 114904816, 116253672
  5890,  16,  16384,  23861,  21,   5,   3, 116110680, 108514640, 115858400, 115679984, 113076776
  5891,  16,  16384,  13228,   5,   3,   2, 114053688, 113973784, 114061392, 113985192, 111535184
  5892,  16,  16384,  45723,   3,   1,   2, 110417760, 104257344, 111167232, 111228664, 114300504
  5893,  16,  16384,  30197,   1,   1,   0, 114138592, 112781656, 114264616, 113932080, 114202736
  5894,  16,  16384,   6298,   1,   4,   2, 113035984, 113984768, 113922080, 107716272, 113888232
  5895,  16,  16384,  26718,   4,  10,   3, 113959688, 113767600, 112423096, 112463608, 110961944
  5896,  16,  16384,  16608,  10,   8,   2, 110865648, 109856192, 110676928, 110361688, 112618912
  5897,  16,  16384,  32388,   8,  11,   2, 112545896, 113619384, 113612160, 113449448, 111591280
  5898,  16,  16384,  34887,  11,  15,   3, 111566000, 111435816, 111445160, 111340808, 108858728
  5899,  16,  16384,  20278,  15,  14,   1, 111772544, 111560784, 111450184, 110446440, 109717952
  5900,  16,  16384,  16869,  14,   5,   3, 111248528, 110663512, 110928272, 110882768, 113067776
  5901,  16,  16384,   4832,   5,  23,   3, 114223000, 113669728, 114072848, 113892424, 113017576
  5902,  16,  16384,  29347,  23,  18,   2, 107944808, 110369456, 112918416, 113511040, 112762960
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  5933,  16,  16384,  29265,   4,  23,   3, 112414912, 110673016, 113764456, 113595984, 112029600
  5934,  16,  16384,  27825,  23,  16,   3, 113363368, 112944072, 110754704, 112043424, 115930520
  5935,  16,  16384,  48682,  16,  14,   2, 115743712, 115440072, 112843768, 109554640, 110923824
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  5938,  16,  16384,  33257,   7,   7,   0, 111472888, 105457944, 111115136, 111476768, 111403616
  5939,  16,  16384,  45148,   7,  15,   3, 110423272, 111084432, 111299000, 111346864, 111758936
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  5946,  16,  16384,  39239,   4,   2,   2, 112885216, 113728008, 113738176, 113375416, 110915880
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  5961,  16,  16384,  32282,  23,   9,   3, 113518592, 113217792, 113062288, 113042464, 113111128
  5962,  16,  16384,   7313,   9,  11,   2, 114320760, 114000856, 114184376, 113679672, 110384088
  5963,  16,  16384,   2007,  11,  10,   1, 111793928, 111469816, 111618480, 111173040, 110670800
  5964,  16,  16384,  31908,  10,  11,   1, 111107536, 110860712, 110849376, 110809952, 110404296
  5965,  16,  16384,   2390,  11,  10,   1, 111562624, 110324152, 111406824, 111525208, 111099944
  5966,  16,  16384,  32122,  10,   6,   2, 110430656, 110729336, 111174416, 111418952, 110151472
  5967,  16,  16384,  28036,   6,   6,   0, 108966600, 109946112, 109949728, 110173344, 110210224
  5968,  16,  16384,  24013,   6,  14,   3, 107190064, 104720296, 110013640, 108768608, 111103552
  5969,  16,  16384,  23823,  14,  14,   0, 105365080, 110786512, 109670728, 111118160, 111095136
  5970,  16,  16384,   8800,  14,  14,   0, 111216944, 110734368, 110959248, 108248392, 110949032
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  5972,  16,  16384,  48824,  16,  17,   1, 115199688, 114390248, 115476304, 112759848, 116133320
  5973,  16,  16384,  12095,  17,   6,   3, 114745728, 115818888, 115858056, 115752640, 109239136
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  5975,  16,  16384,  11152,   6,  18,   3, 110300496, 110075752, 108981848, 104317648, 112072168
  5976,  16,  16384,  37299,  18,  23,   2, 105830664, 112472968, 111085344, 112429960, 113438048
  5977,  16,  16384,  20040,  23,  22,   1, 113417224, 113041728, 113392304, 113299000, 111388656
  5978,  16,  16384,  16739,  22,  22,   0, 112648336, 111243536, 112826640, 111293632, 106954856
  5979,  16,  16384,  27152,  22,  21,   2, 112416952, 110934240, 112174032, 112383128, 115914088
  5980,  16,  16384,  39248,  21,  22,   2, 114978056, 115875880, 115902608, 110030760, 111321664
  5981,  16,  16384,  19323,  22,  16,   3, 112516888, 106764328, 110877552, 112567632, 115463352
  5982,  16,  16384,   6621,  16,  12,   2, 116003384, 115727712, 114927080, 114979128, 112641264
  5983,  16,  16384,  21381,  12,  13,   1, 112481016, 113741776, 113572968, 112677240, 114277248
  5984,  16,  16384,  30618,  13,  15,   2, 113252520, 107130656, 114106232, 113090832, 111626704
  5985,  16,  16384,   3226,  15,   6,   3, 110521248, 105643056, 110333544, 110603232, 109057808
  5986,  16,  16384,  33852,   6,   7,   1, 109374768, 109921968, 110172016, 109947912, 111538912
  5987,  16,  16384,  14402,   7,   4,   3, 111448696, 111262152, 111296744, 106690280, 112636568
  5988,  16,  16384,  37434,   4,   4,   0, 113853176, 107543976, 113734488, 113977136, 113793128
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  5991,  16,  16384,  37540,   1,  21,   3, 113084720, 112950376, 113962080, 113614552, 116056824
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  5993,  16,  16384,  44260,  20,  22,   2, 115495048, 114025080, 115375456, 114191952, 111276792
  5994,  16,  16384,  23000,  22,  23,   1, 111374680, 112517720, 112382072, 112489744, 113429056
  5995,  16,  16384,  18368,  23,  22,   1, 113445672, 113137224, 112917944, 113429584, 112485368
  5996,  16,  16384,   6365,  22,  14,   3, 112890608, 111385032, 110946488, 112330544, 110938152
  5997,  16,  16384,   5873,  14,  22,   3, 110828984, 109995056, 109665928, 110813392, 112553648
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  6033,  16,  16384,  26529,   9,   5,   3, 114269112, 108200856, 114063176, 114275904, 113828312
  6034,  16,  16384,    477,   5,   7,   3, 114204032, 114069168, 112857288, 112825504, 111280496
  6035,  16,  16384,  40126,   7,  22,   3, 111505632, 111320160, 111299104, 104137112, 112418712
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  6044,  16,  16384,  13081,   5,   1,   2, 114128832, 113754096, 107664936, 113482448, 113895904
  6045,  16,  16384,  29121,   1,   2,   2, 113399584, 114298840, 113933504, 113242856, 110787392
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  6047,  16,  16384,  23941,   3,   3,   0, 111496000, 110222368, 110321536, 111274064, 110289392
  6048,  16,  16384,  39563,   3,  11,   3, 105983336, 111227888, 110334664, 111438944, 111617824
  6049,  16,  16384,  32826,  11,   9,   2, 111831720, 111418432, 111704536, 110687432, 114257600
  6050,  16,  16384,   7252,   9,   8,   1, 113103272, 113789304, 114178488, 114069552, 113788768
  6051,  16,  16384,  21436,   8,  23,   3, 113887712, 113765504, 113400296, 106259120, 108179792
  6052,  16,  16384,    473,  23,  22,   1, 113341800, 113246592, 113418696, 112042272, 112677784
  6053,  16,  16384,   3653,  22,  22,   0, 109944832, 111174120, 112880784, 111864928, 112446080
  6054,  16,  16384,  36517,  22,  21,   2, 107182504, 112320192, 112445512, 112642392, 116061344
  6055,  16,  16384,  19564,  21,   0,   3, 114861464, 115888784, 115828624, 115887472, 113940008
  6056,  16,  16384,  13711,   0,   0,   0, 113506512, 112652000, 112463480, 113816968, 113852120
  6057,  16,  16384,  14301,   0,   0,   0, 112664496, 113699352, 113791888, 113577456, 112722232
  6058,  16,  16384,  40290,   0,  13,   3, 107707544, 113412848, 113509408, 112531088, 113526184
  6059,  16,  16384,   6422,  13,  13,   0, 113765520, 113146864, 113917176, 109092472, 114193416
  6060,  16,  16384,  10363,  13,  12,   1, 114113440, 114113136, 114075544, 113902184, 113747528
  6061,  16,  16384,   1492,  12,  12,   0, 113657104, 112424816, 113491744, 113683328, 114149776
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  6063,  16,  16384,  44134,  17,  20,   3, 115917464, 115713680, 115977544, 115650456, 115262544
  6064,  16,  16384,  30650,  20,  21,   1, 115594560, 115394040, 115251760, 115482248, 116107472
  6065,  16,  16384,  30224,  21,  20,   1, 114947296, 116011376, 115909704, 115935400, 115704664
  6066,  16,  16384,  23140,  20,  20,   0, 109855464, 115293624, 115113448, 115049976, 115475088
  6067,  16,  16384,  36758,  20,  21,   1, 115350464, 115170520, 110308968, 115669536, 115987768
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  6232,  16,  16384,  23008,   2,   3,   1, 110752192, 110826256, 110590400, 110615744, 111333400
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  6310,  16,  16384,  31228,  17,   8,   3, 116342896, 115836144, 115530632, 115823152, 112814984
  6311,  16,  16384,   4559,   8,  21,   3, 107659592, 113535920, 113229480, 113121112, 114714936
  6312,  16,  16384,   2235,  21,  13,   3, 114910248, 114607960, 115717296, 115713808, 114093864
  6313,  16,  16384,  47516,  13,  17,   2, 114524024, 114106648, 114077776, 113961176, 116008472
  6314,  16,  16384,  15375,  17,   4,   3, 116174856, 114845024, 115827320, 113315608, 113966752
  6315,  16,  16384,  10721,   4,   4,   0, 113887848, 113712320, 113701384, 112537272, 112644648
  6316,  16,  16384,   2392,   4,   5,   1, 112640752, 109583864, 112267168, 112633544, 108182328
  6317,  16,  16384,   6906,   5,   5,   0, 114135144, 112646832, 113858728, 112664592, 112966712
  6318,  16,  16384,  47693,   5,   3,   2, 114378640, 114028768, 113649960, 113404488, 105645232
  6319,  16,  16384,  14185,   3,   3,   0, 111460176, 111450248, 110997632, 108976560, 111524776
  6320,  16,  16384,   1066,   3,  18,   3, 110334216, 111532256, 111070112, 111438408, 112705568
  6321,  16,  16384,  38982,  18,  19,   1, 112326960, 112544080, 105905944, 112013824, 113367752
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  6325,  16,  16384,  14253,  16,  15,   2, 114350808, 114025368, 115336264, 108353488, 110703680
  6326,  16,  16384,  36231,  15,  10,   3, 111764512, 111431856, 111649264, 111688496, 111083224
  6327,  16,  16384,  10859,  10,   6,   2, 110009976, 110938912, 110582720, 110553696, 109849352
  6328,  16,  16384,  44620,   6,   1,   3, 109957128, 109392904, 109968048, 109904760, 114256960
  6329,  16,  16384,   2116,   1,   0,   1, 112741176, 112929208, 114143000, 107790752, 112398920
  6330,  16,  16384,   4465,   0,   5,   2, 114072808, 112161968, 113538488, 113640544, 114370096
  6331,  16,  16384,   3620,   5,  15,   3, 114114384, 112935552, 113429232, 106950560, 110468344
  6332,  16,  16384,   6375,  15,  16,   2, 111648904, 110262968, 105417824, 109282664, 109700688
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  6335,  16,  16384,  29387,  12,   5,   3, 113313264, 113523816, 112269808, 113468128, 114170088
  6336,  16,  16384,  14766,   5,   4,   1, 114482520, 112682800, 107804472, 112715176, 112497616
  6337,  16,  16384,  25476,   4,   5,   1, 113805384, 112546488, 113693832, 113755960, 114091544
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  6340,  16,  16384,   1788,   0,   1,   1, 111426192, 113579024, 113848168, 113552080, 113863864
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  6350,  16,  16384,  21519,   5,   3,   2, 108288240, 113950472, 114182248, 113880432, 108824568
  6351,  16,  16384,  35863,   3,   3,   0, 105093072, 111501632, 111412656, 111178904, 111397576
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  6359,  16,  16384,  23767,   2,   2,   0, 110990672, 109574664, 110803968, 110582064, 109666320
  6360,  16,  16384,   7670,   2,   8,   3, 106641688, 108914200, 110686288, 110632976, 112724280
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  6364,  16,  16384,  14990,  17,  16,   1, 116103344, 114600664, 116176424, 115914576, 115591560
  6365,  16,  16384,  27960,  16,   7,   3, 115565672, 115299992, 112953856, 115839928, 111264584
  6366,  16,  16384,  25449,   7,  14,   3, 111715032, 111391064, 111284368, 104227192, 108990184
  6367,  16,  16384,  17333,  14,  13,   2, 109808944, 110741368, 110905496, 110680720, 114159160
  6368,  16,  16384,   6706,  13,  12,   1, 114227824, 113294800, 113095144, 114099984, 107819720
  6369,  16,  16384,  36702,  12,  14,   2, 113810784, 113552720, 112864624, 113739496, 111372080
  6370,  16,  16384,  26552,  14,  12,   2, 109746856, 111028080, 110671392, 110701768, 112555992
  6371,  16,  16384,   2684,  12,  13,   1, 114006064, 107610968, 113503592, 113288208, 108246632
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  6373,  16,  16384,  26007,  12,  20,   3, 113742864, 112487112, 112371384, 113303368, 115433976
  6374,  16,  16384,  18675,  20,  20,   0, 114742192, 115462056, 115438032, 115737816, 114422432
  6375,  16,  16384,  40793,  20,  22,   2, 115596808, 114097048, 115487320, 115488304, 110959064
  6376,  16,  16384,    701,  22,  18,   2, 107357456, 110974936, 112387296, 112249400, 111634856
  6377,  16,  16384,  33061,  18,  21,   2, 112495112, 112626232, 112398336, 111323568, 113545800
  6378,  16,  16384,   3157,  21,  18,   2, 115948456, 114686536, 116000720, 115663920, 112680424
  6379,  16,  16384,  31511,  18,  18,   0, 112063168, 111773920, 112441600, 112514696, 111248760
  6380,  16,  16384,  13869,  18,   9,   3, 112751152, 112198968, 112280960, 106393928, 114148800
  6381,  16,  16384,   3511,   9,  23,   3, 114250264, 114243808, 114033920, 113916960, 113320792
  6382,  16,  16384,  21751,  23,   7,   3, 112041824, 112854544, 112269640, 113304176, 111236776
  6383,  16,  16384,  14453,   7,   7,   0, 111252072, 111128160, 111203688, 109766752, 111240464
  6384,  16,  16384,   5672,   7,   7,   0, 110286320, 111172624, 111324480, 105445800, 110435088
  6385,  16,  16384,  29452,   7,   7,   0, 111419832, 109836872, 111006240, 111406912, 111218720
  6386,  16,  16384,    828,   7,   7,   0, 111022312, 109917040, 111558552, 110001232, 111442688
  6387,  16,  16384,   1730,   7,  18,   3, 111213320, 111158856, 103868720, 111064464, 112688064
  6388,  16,  16384,  30422,  18,  18,   0, 112412440, 110664704, 110933392, 112341848, 112486968
  6389,  16,  16384,   7401,  18,  20,   2, 112448696, 111170144, 112065608, 112109632, 115448248
  6390,  16,  16384,  15463,  20,  22,   2, 114783184, 115540992, 109980888, 113845688, 111359416
  6391,  16,  16384,  31531,  22,  13,   3, 112534272, 112155696, 112147040, 111001240, 113353648
  6392,  16,  16384,   9028,  13,  13,   0, 113393528, 114052256, 113051064, 114612976, 114302728
  6393,  16,  16384,  28687,  13,  12,   1, 114485488, 114244792, 114150336, 113247464, 113891968
  6394,  16,  16384,    408,  12,  12,   0, 113861856, 113502368, 113778568, 113803624, 107657576
  6395,  16,  16384,  40864,  12,  16,   2, 113545176, 111378160, 112197200, 113930856, 114796040
  6396,  16,  16384,   3038,  16,  14,   2, 115746544, 115357272, 115648776, 115535536, 109604576
  6397,  16,  16384,  34569,  14,  17,   2, 109483944, 110506176, 109790232, 110473264, 116091944
  6398,  16,  16384,  49469,  17,  16,   1, 115402752, 115652248, 115998776, 114822560, 115928320
  6399,  16,  16384,  15201,  16,  16,   0, 115901664, 115519144, 114154928, 115749432, 114684200
  6400,  16,  16384,  28100,  16,  15,   2, 110821672, 112449000, 115459024, 114224088, 111438160
  6401,  16,  16384,   2162,  15,  14,   1, 111079864, 111179544, 109934880, 111011904, 109722240
  6402,  16,  16384,  25118,  14,   7,   3, 110779440, 110639480, 110721176, 109538216, 103788896
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  6435,  16,  16384,  24061,  18,  19,   1, 112284352, 112055360, 112407600, 112349536, 113294936
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  6437,  16,  16384,  38815,   2,   2,   0, 110753680, 110578856, 110576728, 111047216, 110971760
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  6456,  16,  16384,  36160,  22,  23,   1, 112621952, 110995760, 111462840, 111319376, 107546848
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  6461,  16,  16384,   3518,   5,   5,   0, 114165224, 112538600, 114102680, 114084048, 114273120
  6462,  16,  16384,   3566,   5,   5,   0, 114172240, 112004600, 114274536, 108146440, 112993880
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  6468,  16,  16384,   9378,   5,  23,   3, 114092112, 113921016, 112512048, 113916904, 110617600
  6469,  16,  16384,  19803,  23,   4,   3, 113246184, 113151616, 113147104, 113257336, 114124968
  6470,  16,  16384,  23370,   4,  22,   3, 107747968, 113924208, 112547176, 113917888, 111299728
  6471,  16,  16384,    214,  22,  23,   1, 106702608, 112146208, 112162424, 112268288, 113170704
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  6477,  16,  16384,  34933,  12,  13,   1, 112788672, 113855168, 113552368, 113697432, 111646264
  6478,  16,  16384,  41583,  13,   1,   3, 114543312, 108402064, 113968448, 112649208, 114284912
  6479,  16,  16384,  26515,   1,   0,   1, 114156552, 113956384, 113838968, 112875744, 113747616
  6480,  16,  16384,  12346,   0,   5,   2, 113945224, 113550520, 113749832, 113663880, 114171784
  6481,  16,  16384,  27091,   5,   4,   1, 114207648, 114048752, 114146232, 113848944, 113926360
  6482,  16,  16384,  29354,   4,  19,   3, 113778312, 113815000, 107744416, 113654968, 113213632
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  6484,  16,  16384,  34234,  19,  18,   1, 113241280, 112143096, 111218792, 111915736, 112407128
  6485,  16,  16384,   2663,  18,  19,   1, 110611192, 110883976, 112471136, 112411256, 113688552
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  6511,  16,  16384,  39436,   2,   8,   3, 110835624, 110954704, 110778152, 110606144, 114090128
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  6528,  16,  16384,  12483,   2,  15,   3, 110932304, 108479408, 111065552, 104827208, 111482472
  6529,  16,  16384,  43590,  15,  15,   0, 111684760, 111850712, 111713536, 109055312, 110575096
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  6532,  16,  16384,  36836,   2,  19,   3, 110798248, 110865656, 110599896, 110632800, 113218720
  6533,  16,  16384,  43322,  19,  18,   1, 112068416, 113157128, 113427264, 113264256, 112853944
  6534,  16,  16384,  31697,  18,  21,   2, 111603920, 112407432, 112481816, 112434256, 116367944
  6535,  16,  16384,  29276,  21,  20,   1, 114913808, 115755984, 115940184, 116115520, 109818760
  6536,  16,  16384,  43519,  20,  21,   1, 115619728, 115093112, 115616064, 115379992, 116271904
  6537,  16,  16384,  20131,  21,  22,   2, 116136224, 114578760, 115612528, 116023216, 106748152
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  6539,  16,  16384,  44289,   2,   2,   0, 110748136, 110632008, 110571576, 110497256, 110699080
  6540,  16,  16384,   2444,   2,  11,   3, 103305624, 109525512, 109609232, 109419224, 110334480
  6541,  16,  16384,  42283,  11,  23,   3, 110369632, 111329856, 111548080, 111798656, 113426536
  6542,  16,  16384,  13845,  23,  23,   0, 113640280, 113117536, 113383256, 110582144, 112345592
  6543,  16,  16384,  13957,  23,  23,   0, 107551544, 111661952, 113100568, 113123552, 113036856
  6544,  16,  16384,  13983,  23,  22,   1, 113306816, 113333720, 113168424, 113050896, 110600464
  6545,  16,  16384,  28563,  22,  22,   0, 106900984, 112286584, 112338320, 112298904, 112480328
  6546,  16,  16384,  24256,  22,   5,   3, 112504456, 112565368, 112495992, 112269840, 114156608
  6547,  16,  16384,    526,   5,   4,   1, 114143488, 113824024, 112641432, 114011704, 113948968
  6548,  16,  16384,   1082,   4,   4,   0, 113450424, 112486752, 109227104, 112216656, 114002088
  6549,  16,  16384,  31676,   4,   5,   1, 113883520, 113651408, 111432456, 113703152, 112880208
  6550,  16,  16384,   5861,   5,  20,   3, 114488712, 114027296, 105354824, 112973568, 115739936
  6551,  16,  16384,   3736,  20,  22,   2, 114736888, 115729576, 115600312, 115390992, 109662008
  6552,  16,  16384,   5539,  22,   3,   3, 112716032, 106794056, 112366648, 112334904, 111165832
  6553,  16,  16384,  49429,   3,   4,   2, 111383232, 110631928, 110810160, 111218496, 114221448
  6554,  16,  16384,   6856,   4,   0,   2, 110740952, 113501904, 113786888, 113808296, 113153376
  6555,  16,  16384,  15276,   0,   0,   0, 113132720, 113727616, 113516616, 113396872, 113981736
  6556,  16,  16384,  29865,   0,   2,   2, 113749656, 107610104, 113240152, 109865992, 109887728
  6557,  16,  16384,  33599,   2,   3,   1, 110993400, 109626744, 110488072, 110581032, 110390888
  6558,  16,  16384,  42605,   3,   5,   2, 111935088, 111442280, 111461608, 110370936, 114358792
  6559,  16,  16384,   3110,   5,   5,   0, 114063072, 112713616, 110463000, 110223440, 111753400
  6560,  16,  16384,  29031,   5,   4,   1, 114083864, 114291272, 113858528, 114138728, 113871736
  6561,  16,  16384,  41106,   4,   0,   2, 111756000, 112646376, 113704072, 114009136, 113688536
  6562,  16,  16384,  45964,   0,  13,   3, 112585752, 113545008, 113725552, 113637960, 114125760
  6563,  16,  16384,  22752,  13,   9,   3, 114296888, 114037632, 113570040, 113371744, 114205592
  6564,  16,  16384,    312,   9,   6,   2, 111948576, 114047744, 114096200, 113134616, 110197992
  6565,  16,  16384,  26163,   6,   8,   2, 109041344, 109943280, 109991632, 109959232, 112453720
  6566,  16,  16384,   4876,   8,   4,   3, 113686432, 112528056, 113790528, 113583840, 113123544
  6567,  16,  16384,   6098,   4,   5,   1, 113840144, 113937168, 113565368, 113940544, 114076848
  6568,  16,  16384,  43882,   5,   5,   0, 114250600, 114196152, 113885472, 114036464, 106558792
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  6613,  16,  16384,  39254,   3,   3,   0, 111200808, 111160064, 111208656, 111169952, 111648288
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  6615,  16,  16384,  10214,   3,   0,   2, 105438200, 111297576, 110989176, 111579216, 112774536
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  6620,  16,  16384,  46992,   2,   2,   0, 110967864, 109748576, 110672856, 109720848, 109493344
  6621,  16,  16384,  36809,   2,   3,   1, 111040176, 110694048, 104823208, 110547040, 111537120
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  6623,  16,  16384,  30011,   3,   2,   1, 108817928, 111379464, 111488760, 111448840, 110716648
  6624,  16,  16384,  36678,   2,  22,   3, 110959320, 109889304, 110787184, 110537152, 111266136
  6625,  16,  16384,  12214,  22,  15,   3, 112796816, 106692232, 112606904, 112492160, 111680544
  6626,  16,  16384,   7885,  15,  14,   1, 111741688, 111265640, 110457256, 110330976, 110912136
  6627,  16,  16384,   4478,  14,  17,   2, 111021000, 110476360, 110031544, 110847424, 114883440
  6628,  16,  16384,  18922,  17,  19,   3, 115911088, 116006912, 115892336, 115727064, 107379680
  6629,  16,  16384,  34813,  19,  20,   2, 111080056, 113162128, 113247152, 113215992, 115647608
  6630,  16,  16384,   9318,  20,  20,   0, 115795152, 115635664, 115273608, 108117544, 115577416
  6631,  16,  16384,  26584,  20,   3,   3, 112956584, 115154480, 115312624, 115563264, 111084792
  6632,  16,  16384,   2119,   3,   2,   1, 111202104, 110403408, 110180512, 111405768, 110568264
  6633,  16,  16384,   6186,   2,   3,   1, 105053200, 110795296, 110742656, 108494016, 106165936
  6634,  16,  16384,  30647,   3,   1,   2, 111439872, 111447752, 111302952, 111291664, 114127704
  6635,  16,  16384,  14002,   1,   0,   1, 114186520, 114044440, 113996568, 114064888, 112335832
  6636,  16,  16384,  24873,   0,   3,   2, 113850560, 113489376, 113902296, 112617904, 111329000
  6637,  16,  16384,  22183,   3,   2,   1, 110316888, 110070376, 111399552, 111303320, 110841488
  6638,  16,  16384,  49080,   2,   2,   0, 109901624, 109542744, 110703848, 110658832, 110924736
  6639,  16,  16384,  17076,   2,  21,   3, 110865112, 109714168, 109515168, 110737624, 116083256
  6640,  16,  16384,  42031,  21,  21,   0, 116380656, 113304480, 115859168, 115964392, 115949808
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  6650,  16,  16384,  30139,  10,  18,   3, 109947576, 109896880, 110833032, 110966880, 111727240
  6651,  16,  16384,  38290,  18,  13,   3, 112402912, 112331064, 110193048, 108808496, 114318704
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  6659,  16,  16384,  16618,   2,  20,   3, 110798504, 110781888, 110697840, 110991048, 115690760
  6660,  16,  16384,  46197,  20,  21,   1, 115640616, 114215776, 112687432, 115575448, 116182240
  6661,  16,  16384,   7175,  21,   5,   3, 116175464, 115759096, 115901576, 116138040, 112892136
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  6663,  16,  16384,  19796,   5,   4,   1, 114130624, 114127368, 113947704, 113915872, 113889000
  6664,  16,  16384,  15914,   4,   5,   1, 113941736, 112646296, 113638472, 113368344, 112887232
  6665,  16,  16384,  48389,   5,   7,   3, 111385360, 109239696, 113925104, 113987728, 110413928
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  6667,  16,  16384,   9100,   5,   4,   1, 114391152, 112851064, 107559088, 113329824, 112220768
  6668,  16,  16384,   3460,   4,  12,   3, 107809360, 113323808, 113706112, 113926152, 113576776
  6669,  16,  16384,  35575,  12,  15,   2, 112326448, 113703224, 113564416, 113403168, 111604472
  6670,  16,  16384,  39086,  15,  20,   3, 110432632, 111566384, 111609296, 110594424, 115587704
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  6675,  16,  16384,  12064,  22,  20,   2, 112434296, 111001680, 106490880, 112405928, 115556944
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  6680,  16,  16384,  46369,  18,  11,   3, 112581096, 112358680, 111304056, 112436760, 110268272
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  6684,  16,  16384,  42644,   6,   7,   1, 108817184, 109976696, 109786136, 110010384, 111745936
  6685,  16,  16384,  23151,   7,  10,   2, 110262504, 111255488, 110001600, 111407488, 110362368
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  6688,  16,  16384,  39829,  16,  17,   1, 115477184, 113900424, 114345712, 115484896, 116352776
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  6693,  16,  16384,   5483,   9,   9,   0, 114442960, 114035448, 114068928, 113992464, 114152728
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  6698,  16,  16384,  10189,   2,   5,   2, 109786880, 111002968, 108289368, 111133432, 113939800
  6699,  16,  16384,   1654,   5,  22,   3, 114238248, 111644280, 113198744, 112790928, 112416152
  6700,  16,  16384,   8192,  22,  22,   0, 112621200, 112518272, 111255248, 112276288, 111786736
  6701,  16,  16384,  21175,  22,  22,   0, 106680040, 111280512, 112189664, 112504520, 112576752
  6702,  16,  16384,  44220,  22,  13,   3, 111489920, 112618672, 112387592, 112652752, 114358600
  6703,  16,  16384,  25968,  13,  13,   0, 114276040, 114102824, 113930632, 113948888, 114204224
  6704,  16,  16384,  22171,  13,   1,   3, 113077152, 107897280, 112761112, 113197560, 107831672
  6705,  16,  16384,  27125,   1,   1,   0, 114264952, 113926616, 114030192, 113833832, 114078960
  6706,  16,  16384,  35151,   1,   0,   1, 114183808, 113803088, 114183304, 112731296, 107976288
  6707,  16,  16384,  17126,   0,  14,   3, 113669536, 113546168, 112262704, 113659344, 108879040
  6708,  16,  16384,  41720,  14,   2,   3, 110737200, 110792816, 110710168, 110781080, 110744032
  6709,  16,  16384,   3502,   2,   3,   1, 109594144, 110907768, 110459920, 110899736, 111617264
  6710,  16,  16384,  39774,   3,  19,   3, 110493240, 110454168, 111510880, 111423784, 111968288
  6711,  16,  16384,   4725,  19,  21,   2, 112140448, 113264360, 113322800, 113341192, 114722864
  6712,  16,  16384,  49129,  21,   2,   3, 116064024, 115968872, 115984328, 114492360, 110810184
  6713,  16,  16384,   7845,   2,  10,   3, 111071424, 110868672, 110849656, 110491104, 109552872
  6714,  16,  16384,  46984,  10,  16,   3, 110939568, 110729184, 110927592, 110872896, 115628848
  6715,  16,  16384,  26222,  16,  15,   2, 115631112, 112438496, 115727896, 115407504, 111761560
  6716,  16,  16384,  36018,  15,  13,   2, 110585280, 111454064, 111603888, 111248896, 114210976
  6717,  16,  16384,  42402,  13,  16,   2, 113949600, 114181264, 112988808, 113919664, 115515288
  6718,  16,  16384,  31004,  16,  16,   0, 115316016, 113268264, 115498944, 115719984, 115403040
  6719,  16,  16384,  48374,  16,   0,   3, 109620288, 115035024, 115263096, 114581520, 113722800
  6720,  16,  16384,   7273,   0,  16,   3, 113713896, 113646016, 113533192, 106254768, 115625112
  6721,  16,  16384,  25748,  16,   7,   3, 115863712, 115543720, 115455040, 108441264, 110405944
  6722,  16,  16384,  32422,   7,   4,   3, 111327616, 111227488, 111722256, 102867632, 113808080
  6723,  16,  16384,  20458,   4,   4,   0, 113728080, 113863032, 113909848, 113520056, 112483288
  6724,  16,  16384,  43651,   4,  20,   3, 106455672, 114191600, 111264472, 113434288, 114308824
  6725,  16,  16384,  17507,  20,  22,   2, 115714200, 115187056, 115745064, 115242448, 104296928
  6726,  16,  16384,   4285,  22,  22,   0, 112762072, 112470184, 112170336, 112555152, 112712264
  6727,  16,  16384,  46717,  22,  22,   0, 112495248, 112214864, 112462832, 112411504, 111279544
  6728,  16,  16384,   4810,  22,  20,   2, 111840160, 111141496, 105307688, 112526848, 115552248
  6729,  16,  16384,   6924,  20,  21,   1, 112948336, 115529600, 115413288, 114189720, 116029328
  6730,  16,  16384,  27213,  21,  20,   1, 110459592, 115850192, 115906488, 115601592, 115541104
  6731,  16,  16384,   3165,  20,  20,   0, 114323120, 109650328, 112761456, 115253312, 115269896
  6732,  16,  16384,  12179,  20,  23,   2, 114225904, 115404832, 115202088, 115370312, 113475176
  6733,  16,  16384,  13109,  23,  19,   2, 113426888, 113241616, 107287720, 113327552, 102289016
  6734,  16,  16384,   4010,  19,  19,   0, 113637232, 113472336, 113156520, 111896312, 113351896
  6735,  16,  16384,  24124,  19,  19,   0, 113500880, 113147384, 113277304, 113165480, 113478128
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  6890,  16,  16384,   2544,  11,  11,   0, 105951032, 111717512, 111181176, 110359888, 111486776
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  6899,  16,  16384,  25549,  22,  18,   2, 112680592, 112309808, 106669744, 112510968, 111161824
  6900,  16,  16384,  13718,  18,  19,   1, 112535704, 112088120, 112412832, 112304208, 113518840
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  6902,  16,  16384,  35817,  18,   8,   3, 112659832, 110170440, 112755000, 112557152, 113238800
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  6978,  16,  16384,  11158,   3,   3,   0, 111721824, 111305064, 110060792, 109878504, 109982464
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  6984,  16,  16384,  22681,   2,  21,   3, 110944368, 110791848, 109732632, 110921040, 110262496
  6985,  16,  16384,   3336,  21,  21,   0, 116223568, 115501552, 115719472, 114286704, 116230272
  6986,  16,  16384,   4618,  21,  21,   0, 113606296, 115941840, 116068800, 115959680, 116141984
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  6994,  16,  16384,  41881,  10,   8,   2, 110891112, 104848688, 110716208, 109976736, 112758512
  6995,  16,  16384,  32920,   8,   5,   3, 113620552, 113774424, 107681256, 113746664, 114189592
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  7033,  16,  16384,  36241,   5,   5,   0, 114083392, 112698544, 113910088, 114020696, 113916168
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  7041,  16,  16384,  12267,  10,   7,   2, 110937424, 103196568, 109677912, 111133392, 111562048
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  7044,  16,  16384,  12440,   5,   5,   0, 113904728, 114086560, 113936680, 112717456, 113924488
  7045,  16,  16384,  13689,   5,  14,   3, 112861376, 113791408, 113633576, 106911416, 108677200
  7046,  16,  16384,  26527,  14,  15,   1, 110952544, 111072712, 111069296, 109931936, 111570288
  7047,  16,  16384,   8867,  15,  12,   2, 110150712, 111245360, 107573080, 108326120, 113770872
  7048,  16,  16384,  38937,  12,   0,   3, 114029064, 113708256, 113532864, 112119496, 113876760
  7049,  16,  16384,  36403,   0,   0,   0, 112652384, 113707544, 112265672, 113634616, 113605176
  7050,  16,  16384,  45187,   0,   1,   1, 112702256, 113561496, 113724632, 113586184, 114004848
  7051,  16,  16384,  41160,   1,   0,   1, 114307240, 113747560, 112908320, 114037720, 113564976
  7052,  16,  16384,  39929,   0,   5,   2, 113931104, 112349048, 113753408, 113626544, 109082744
  7053,  16,  16384,  35578,   5,   5,   0, 112296592, 113898088, 113872376, 112842896, 114028688
  7054,  16,  16384,  33500,   5,   5,   0, 114148512, 112860616, 114014424, 114084296, 113133616
  7055,  16,  16384,   4308,   5,   0,   2, 114331104, 114063080, 107491336, 113950016, 112327216
  7056,  16,  16384,  43855,   0,  20,   3, 112824272, 113607040, 113490352, 113815128, 116037896
  7057,  16,  16384,  23060,  20,  20,   0, 114601856, 115429744, 115616144, 115579152, 114348256
  7058,  16,  16384,  27390,  20,  19,   2, 115592088, 114779768, 114690480, 115262648, 113380344
  7059,  16,  16384,  33878,  19,  21,   2, 113214528, 113362888, 113244520, 113341456, 114683536
  7060,  16,  16384,  25301,  21,  21,   0, 116035272, 115227472, 115393256, 115838776, 116223536
  7061,  16,  16384,  39896,  21,  19,   2, 115937248, 109972184, 114799136, 114286632, 113282784
  7062,  16,  16384,   2169,  19,  18,   1, 113518000, 113483920, 113236408, 103446080, 113031312
  7063,  16,  16384,  45019,  18,  19,   1, 112346984, 111313456, 112113232, 106428232, 113374312
  7064,  16,  16384,  14663,  19,  18,   1, 113457928, 113202040, 113283352, 113670840, 112678984
  7065,  16,  16384,  42795,  18,  19,   1, 112585816, 112447472, 111263680, 112615752, 113327184
  7066,  16,  16384,  32178,  19,   2,   3, 113210192, 113214632, 113283184, 113029336, 109479312
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  7232,  16,  16384,   9213,  20,  21,   1, 115652120, 115456248, 114041408, 109837448, 113274880
  7233,  16,  16384,  13965,  21,  20,   1, 116357336, 116050720, 115911128, 115965120, 114429272
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  7299,  16,  16384,  43672,   9,   8,   1, 113097560, 113992400, 114117480, 108012464, 106576928
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  7303,  16,  16384,   1508,   1,  22,   3, 107989416, 114051472, 113950104, 113698496, 106770584
  7304,  16,  16384,   7367,  22,  16,   3, 112024512, 112148160, 111101680, 112430920, 115763272
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  7310,  16,  16384,  45203,  15,   4,   3, 111548600, 110601968, 110295088, 111731552, 108489528
  7311,  16,  16384,  24811,   4,   4,   0, 112629664, 113645168, 112347936, 113679552, 113809888
  7312,  16,  16384,  27295,   4,  20,   3, 114038392, 112702800, 113614472, 113584392, 115758376
  7313,  16,  16384,  17691,  20,  19,   2, 115818760, 114979856, 108704648, 115470488, 110662640
  7314,  16,  16384,  35272,  19,  14,   3, 112338888, 113534224, 113376080, 112980448, 111180832
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  7316,  16,  16384,  48653,   8,  21,   3, 114123656, 113456824, 112427592, 112656200, 115926080
  7317,  16,  16384,  17900,  21,  21,   0, 116207624, 115912752, 114362136, 115766464, 115830768
  7318,  16,  16384,  40044,  21,  21,   0, 114811472, 115766880, 115847000, 114676584, 111022952
  7319,  16,  16384,  13646,  21,  20,   1, 115882992, 115668752, 115821496, 115891536, 114425080
  7320,  16,  16384,   3867,  20,  21,   1, 115555104, 109587296, 114319832, 115291184, 114978688
  7321,  16,  16384,  23214,  21,  21,   0, 114671632, 115787760, 110086208, 115845400, 115776632
  7322,  16,  16384,   8763,  21,  19,   2, 116183968, 114598800, 115959776, 115864120, 113551080
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  7324,  16,  16384,  21513,  19,  20,   2, 107392336, 113351296, 113202304, 113247104, 115476632
  7325,  16,  16384,  38106,  20,  23,   2, 107612784, 115462016, 115353304, 114039224, 113662528
  7326,  16,  16384,  30234,  23,  22,   1, 113690824, 113118168, 113363624, 113222312, 112667088
  7327,  16,  16384,  45921,  22,   4,   3, 112650800, 112318912, 111247088, 112655392, 114003304
  7328,  16,  16384,  49878,   4,   4,   0, 113965848, 113587184, 113389344, 113797256, 113234072
  7329,  16,  16384,  32627,   4,   4,   0, 107960968, 113805424, 112388216, 112866424, 112472752
  7330,  16,  16384,  29761,   4,   5,   1, 113848520, 113996312, 113697488, 113661944, 113904984
  7331,  16,  16384,  15795,   5,   4,   1, 111925608, 114188456, 113773216, 113658680, 113588568
  7332,  16,  16384,  36596,   4,   2,   2, 112705608, 112451240, 113973416, 113699536, 108395952
  7333,  16,  16384,  39111,   2,   2,   0, 110795256, 110845112, 110694000, 110604136, 110777416
  7334,  16,  16384,  19128,   2,   3,   1, 109866648, 109818280, 110968056, 111136616, 111513880
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  7339,  16,  16384,  35391,  17,  12,   2, 115871360, 115961632, 115841392, 115396664, 112666976
  7340,  16,  16384,  43731,  12,  15,   2, 107767176, 112507096, 113644320, 112606528, 109156056
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  7350,  16,  16384,  49639,  13,  12,   1, 114062160, 114350960, 113886896, 114130536, 113875768
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  7352,  16,  16384,   3398,  13,  15,   2, 114007528, 112819056, 114362120, 113856032, 111931312
  7353,  16,  16384,  32767,  15,  14,   1, 111998768, 111361048, 111460080, 111615288, 111148952
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  7359,  16,  16384,  10826,   6,  15,   3, 108975488, 110010944, 110166424, 109963048, 111785040
  7360,  16,  16384,  29726,  15,  15,   0, 111938240, 111570616, 111721896, 111461040, 110347352
  7361,  16,  16384,  25941,  15,  15,   0, 107191936, 108578504, 110637680, 111411376, 111633912
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  7363,  16,  16384,   7235,  15,  14,   1, 111657336, 110432928, 110684392, 111458248, 110808744
  7364,  16,  16384,  37565,  14,  15,   1, 110936760, 110795664, 110760856, 108439832, 111660096
  7365,  16,  16384,  30290,  15,  23,   3, 111666072, 111682136, 111566288, 110402768, 113454392
  7366,  16,  16384,    295,  23,  20,   2, 113484072, 112052776, 112226280, 113361984, 115568008
  7367,  16,  16384,  17199,  20,   4,   3, 115540376, 115244056, 115402112, 113036304, 112778736
  7368,  16,  16384,  13846,   4,   5,   1, 107697080, 114041928, 112469736, 113846608, 113185464
  7369,  16,  16384,  47906,   5,   4,   1, 114260400, 113856928, 106546968, 112796608, 112948168
  7370,  16,  16384,  38387,   4,   4,   0, 113750360, 112437136, 107499688, 112611280, 113806120
  7371,  16,  16384,   9834,   4,   3,   2, 114054016, 112448600, 113966456, 113682864, 110164424
  7372,  16,  16384,   6434,   3,   2,   1, 111503680, 110952408, 105517104, 111144600, 110761832
  7373,  16,  16384,  37877,   2,   3,   1, 110926856, 110453704, 109666664, 110830024, 111194520
  7374,  16,  16384,   9379,   3,  15,   3, 110479208, 110457360, 111398152, 111474656, 110698264
  7375,  16,  16384,   6319,  15,   5,   3, 111484704, 111426944, 105556680, 111433496, 112860768
  7376,  16,  16384,  37409,   5,  11,   3, 114178624, 107900448, 111554000, 113599216, 111396656
  7377,  16,  16384,  31719,  11,   7,   2, 111002368, 111174896, 111366208, 111652048, 111324736
  7378,  16,  16384,  19420,   7,   7,   0, 111799680, 111378448, 111608072, 110668792, 110051736
  7379,  16,  16384,  29459,   7,   9,   2, 104353752, 110199832, 111161832, 111417664, 113720216
  7380,  16,  16384,  16995,   9,   6,   2, 113364032, 114013264, 114050000, 113042096, 110405432
  7381,  16,  16384,  38360,   6,   2,   3, 110014832, 110027672, 109987608, 110015712, 110410728
  7382,  16,  16384,   3384,   2,   5,   2, 105058600, 110960384, 109725384, 111112848, 114147808
  7383,  16,  16384,  38323,   5,   3,   2, 113014312, 107835824, 113046512, 112252848, 110383144
  7384,  16,  16384,  13762,   3,   2,   1, 111806328, 111154544, 111456672, 111664456, 110847072
  7385,  16,  16384,  42829,   2,   1,   2, 111241032, 109459248, 108487704, 110906320, 113042528
  7386,  16,  16384,  39664,   1,   3,   2, 114234240, 113943568, 113895792, 114061896, 111540688
  7387,  16,  16384,   5812,   3,   3,   0, 111482928, 111344992, 111405736, 111148720, 110497984
  7388,  16,  16384,  38310,   3,   5,   2, 104847840, 110977456, 110394816, 110268088, 114278808
  7389,  16,  16384,  19232,   5,   4,   1, 113923008, 114088624, 112776792, 113993200, 112412744
  7390,  16,  16384,   3928,   4,   4,   0, 113816336, 114091864, 112686984, 113760328, 113986168
  7391,  16,  16384,  38305,   4,  23,   3, 114053712, 105963568, 112598864, 113606672, 113466088
  7392,  16,  16384,  38884,  23,  18,   2, 113570880, 112418224, 113377288, 110706312, 112712032
  7393,  16,  16384,  27261,  18,  21,   2, 112586440, 112623800, 109919368, 112509840, 114866968
  7394,  16,  16384,  10913,  21,  20,   1, 115952032, 115778104, 115834752, 115568712, 113481168
  7395,  16,  16384,  33898,  20,  20,   0, 115286152, 115640904, 115415208, 115359488, 115700488
  7396,  16,  16384,  30425,  20,  21,   1, 109881328, 115341640, 115333080, 115545176, 115928248
  7397,  16,  16384,  30234,  21,  21,   0, 114594512, 115712488, 115839472, 104053792, 116036824
  7398,  16,  16384,  19573,  21,  21,   0, 116151384, 116089920, 114429152, 116118520, 115924608
  7399,  16,  16384,  23135,  21,  21,   0, 116107080, 115792744, 114530152, 115904928, 115875544
  7400,  16,  16384,   8636,  21,   9,   3, 113313688, 110030832, 116139168, 115785280, 114158464
  7401,  16,  16384,   4902,   9,   8,   1, 114204280, 113977064, 114226376, 112694832, 112967200
  7402,  16,  16384,  30364,   8,   8,   0, 114043752, 113869560, 113643080, 106289216, 113674224
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  7437,  16,  16384,  13133,  21,  23,   2, 116124200, 116058872, 113159048, 115729760, 113541464
  7438,  16,  16384,  47795,  23,  22,   1, 113690472, 113340176, 113369840, 113253384, 111612360
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  7450,  16,  16384,   3542,  16,  16,   0, 115601672, 115397752, 114161472, 109446784, 115605000
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  7460,  16,  16384,  36104,  23,  15,   3, 112271080, 112258056, 113177488, 113123768, 110402320
  7461,  16,  16384,    558,  15,  11,   3, 111721584, 111647256, 111456944, 111528072, 111239728
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  7477,  16,  16384,  22301,  16,  17,   1, 114174128, 115250416, 115348360, 115349392, 114917504
  7478,  16,  16384,  47372,  17,  13,   2, 114904192, 115992024, 114684592, 116247840, 114537728
  7479,  16,  16384,  21446,  13,  12,   1, 114543944, 114003528, 114139552, 113043208, 113711288
  7480,  16,  16384,  11874,  12,  12,   0, 113936904, 113703832, 112502968, 113555424, 114153800
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  7494,  16,  16384,  14150,  20,  15,   3, 114435488, 115355392, 115636096, 109398040, 110460768
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  7534,  16,  16384,   4053,  21,  23,   2, 114691056, 115986008, 115991608, 115883128, 112522160
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  7537,  16,  16384,  15559,  22,   0,   3, 112809800, 112450952, 112303896, 112382640, 113876864
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  7540,  16,  16384,    930,  13,  14,   2, 108213928, 114022832, 114144984, 112117920, 110719064
  7541,  16,  16384,  40257,  14,  21,   3, 110010000, 110891784, 110668720, 110625608, 114951976
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  7543,  16,  16384,   2441,  13,  12,   1, 113917864, 114027064, 113977240, 112923432, 113797760
  7544,  16,  16384,  40063,  12,  15,   2, 111441560, 113881600, 113850976, 113600568, 111608000
  7545,  16,  16384,  15158,  15,  17,   2, 110461352, 111462744, 111273488, 111682952, 116057504
  7546,  16,  16384,  19825,  17,  12,   2, 116029128, 114633936, 110017528, 115799168, 113680120
  7547,  16,  16384,  14698,  12,  13,   1, 113650432, 113292496, 113519744, 107418440, 114421984
  7548,  16,  16384,   9377,  13,  13,   0, 114203464, 114281840, 113398976, 113146920, 114043480
  7549,  16,  16384,  35916,  13,  12,   1, 113576376, 113568384, 113379256, 114041496, 107731392
  7550,  16,  16384,  39047,  12,  18,   3, 114122216, 113737864, 112520864, 113653576, 112472296
  7551,  16,  16384,  34624,  18,   6,   3, 112604888, 110376600, 111888432, 112502720, 109934696
  7552,  16,  16384,   9591,   6,   7,   1, 108840192, 110390528, 110335376, 110203064, 111463888
  7553,  16,  16384,  25345,   7,   8,   2, 111449296, 111417752, 111519672, 111199592, 113604656
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  7555,  16,  16384,  39004,   9,   9,   0, 114369648, 112617480, 114092296, 114062832, 112838072
  7556,  16,  16384,  26981,   9,   6,   2, 114317296, 106890944, 114012936, 113540392, 110084648
  7557,  16,  16384,  35955,   6,   7,   1, 109954512, 109780744, 109013208, 108719328, 111460960
  7558,  16,  16384,   2249,   7,   6,   1, 105387824, 110252920, 110185040, 111445752, 109299176
  7559,  16,  16384,  14380,   6,   6,   0, 110184264, 110319920, 109894928, 109958160, 109074472
  7560,  16,  16384,  27502,   6,   9,   2, 109953128, 109148024, 108906136, 110053928, 113635144
  7561,  16,  16384,  13796,   9,   8,   1, 108159600, 114333624, 113154904, 114033608, 112626960
  7562,  16,  16384,   5388,   8,   3,   3, 113771240, 113749352, 112578688, 105028616, 111280872
  7563,  16,  16384,  19861,   3,   3,   0, 110415512, 109937888, 111165880, 110168648, 111267512
  7564,  16,  16384,   7821,   3,  19,   3, 111560872, 110112736, 105355176, 111203400, 113331400
  7565,  16,  16384,  21912,  19,  23,   2, 113269600, 113206376, 113278984, 111791784, 113122272
  7566,  16,  16384,  26403,  23,  19,   2, 113655504, 113212728, 113333192, 113556664, 112243016
  7567,  16,  16384,  17739,  19,  18,   1, 111973616, 113223144, 113182208, 113143816, 111487296
  7568,  16,  16384,  10290,  18,  19,   1, 111489496, 112601424, 112720104, 112511160, 113338448
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  7598,  16,  16384,  45178,  12,  17,   2, 113756912, 113879424, 113681968, 113593048, 116027432
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  7609,  16,  16384,  47789,   3,   2,   1, 111657752, 111356104, 111375816, 111436816, 109315312
  7610,  16,  16384,  19472,   2,   3,   1, 110801968, 110729512, 110693688, 110522864, 111574848
  7611,  16,  16384,  30222,   3,   3,   0, 111644848, 111310752, 111296976, 111389336, 111316728
  7612,  16,  16384,  45569,   3,   3,   0, 111760384, 109947448, 111272456, 108853088, 109279776
  7613,  16,  16384,  30456,   3,  15,   3, 111443832, 111499832, 111179976, 111110320, 111598544
  7614,  16,  16384,  15448,  15,  14,   1, 111994392, 111600856, 111528736, 110457032, 110144496
  7615,  16,  16384,  46574,  14,   0,   3, 111053968, 110937784, 107270104, 108361400, 113356288
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  7617,  16,  16384,  33321,   3,   5,   2, 111457632, 111572464, 109838944, 104032192, 113514144
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  7619,  16,  16384,  45061,   2,   4,   2, 110030120, 109604752, 110681320, 110806264, 114052680
  7620,  16,  16384,  45053,   4,  11,   3, 113868640, 113648960, 113568224, 112311232, 111393320
  7621,  16,  16384,  32440,  11,  10,   1, 111511392, 111485552, 110334400, 111434656, 111117160
  7622,  16,  16384,   4049,  10,  11,   1, 111084096, 110976768, 108850192, 109644640, 111572872
  7623,  16,  16384,  24247,  11,   8,   2, 111508776, 111219448, 111667352, 111289392, 113864904
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  7625,  16,  16384,  11705,   8,   9,   1, 114029216, 112678152, 107525248, 111448768, 114283464
  7626,  16,  16384,  43057,   9,   9,   0, 111652296, 110787192, 113795960, 113946880, 114237680
  7627,  16,  16384,  21751,   9,   9,   0, 114267400, 114093816, 112063608, 112777984, 114381824
  7628,  16,  16384,    202,   9,  11,   2, 114087728, 114017544, 114155704, 110857608, 110381376
  7629,  16,  16384,  46395,  11,   9,   2, 110523256, 111469000, 111297496, 105606072, 111884552
  7630,  16,  16384,  42882,   9,   8,   1, 113212128, 114082152, 114352784, 114346592, 113883720
  7631,  16,  16384,  40027,   8,   3,   3, 113777672, 113643536, 112681544, 113688712, 111501120
  7632,  16,  16384,  40051,   3,   0,   2, 111498784, 111605464, 111289552, 111807992, 113646968
  7633,  16,  16384,  15047,   0,   0,   0, 113660976, 113518608, 113742880, 112371120, 110003512
  7634,  16,  16384,   8714,   0,  13,   3, 113642952, 113679056, 113729256, 111090744, 114438240
  7635,  16,  16384,  32685,  13,  12,   1, 114063576, 114163664, 114042392, 114073848, 107851736
  7636,  16,  16384,  19936,  12,   6,   3, 113636344, 112490344, 112684528, 113661144, 110030208
  7637,  16,  16384,  49073,   6,   0,   3, 109203904, 110114104, 109964672, 110112272, 113705944
  7638,  16,  16384,   9952,   0,   0,   0, 113922800, 112586216, 113907552, 107669768, 113841672
  7639,  16,  16384,  41198,   0,   0,   0, 113720984, 113704224, 112209896, 112323472, 113787864
  7640,  16,  16384,  30147,   0,  21,   3, 112657544, 113965800, 113616672, 112462136, 114859112
  7641,  16,  16384,  11309,  21,  20,   1, 115979248, 115983256, 114754608, 110057216, 115679688
  7642,  16,  16384,   5757,  20,   8,   3, 109822616, 115403192, 114053448, 115329520, 113703928
  7643,  16,  16384,  10871,   8,   6,   2, 113821200, 113641848, 113600664, 112770464, 110122552
  7644,  16,  16384,   8234,   6,   4,   3, 109997616, 110247216, 110271824, 109786816, 113435064
  7645,  16,  16384,  21230,   4,  10,   3, 113300256, 112336800, 114086616, 113681096, 111061008
  7646,  16,  16384,   8754,  10,  10,   0, 111102560, 108925288, 110395624, 110724688, 110994720
  7647,  16,  16384,  13598,  10,  11,   1, 110981384, 110664568, 110995496, 108933160, 111816496
  7648,  16,  16384,  46177,  11,   4,   3, 111446720, 111642048, 111832824, 110342640, 113777920
  7649,  16,  16384,  44235,   4,   5,   1, 114049504, 113781144, 112646824, 112529304, 114158488
  7650,  16,  16384,   2609,   5,   5,   0, 113052232, 114199088, 114075192, 112981216, 114115600
  7651,  16,  16384,  14114,   5,  15,   3, 113909680, 113102336, 114025184, 114003240, 111516904
  7652,  16,  16384,  29054,  15,  14,   1, 111774744, 105657000, 111419040, 111587544, 111114728
  7653,  16,  16384,  21458,  14,  16,   2, 109744408, 109675384, 110809816, 104764712, 115575352
  7654,  16,  16384,   6339,  16,  17,   1, 115499336, 113957296, 115120720, 115059768, 115972000
  7655,  16,  16384,  40625,  17,   0,   3, 116010880, 116017096, 114585056, 115820536, 113898840
  7656,  16,  16384,  39942,   0,   0,   0, 113672400, 113822912, 112513120, 113815320, 113859744
  7657,  16,  16384,  44027,   0,   8,   3, 107298424, 112112016, 113121120, 113480504, 113715336
  7658,  16,  16384,  16397,   8,  11,   2, 114033928, 113478080, 113563000, 113698280, 111745928
  7659,  16,  16384,  17053,  11,   8,   2, 111557952, 105606216, 110253712, 111210272, 113715192
  7660,  16,  16384,  49230,   8,   7,   2, 113788168, 113588000, 113554160, 113541928, 111484688
  7661,  16,  16384,  46752,   7,   2,   3, 111603888, 111316832, 110809504, 111132760, 109592472
  7662,  16,  16384,  47047,   2,   3,   1, 108652760, 110835168, 110917984, 110922272, 110386720
  7663,  16,  16384,  31124,   3,   2,   1, 111552504, 111227992, 111028144, 110408104, 110939920
  7664,  16,  16384,  20165,   2,   3,   1, 104957824, 107063744, 110954504, 110858752, 110078832
  7665,  16,  16384,   3502,   3,   2,   1, 111346944, 110535000, 110473224, 111305416, 110833712
  7666,  16,  16384,   3229,   2,   3,   1, 110757024, 110649264, 110838328, 104561184, 111568440
  7667,  16,  16384,   8023,   3,   1,   2, 111544520, 105276304, 109769920, 111132512, 113843008
  7668,  16,  16384,  48350,   1,   1,   0, 112866096, 111746608, 113886224, 114023928, 113514104
  7669,  16,  16384,  36566,   1,   0,   1, 114228320, 113918544, 114040544, 114301336, 113732632
  7670,  16,  16384,  44835,   0,   1,   1, 112654464, 113731944, 113661688, 113817096, 113830656
  7671,  16,  16384,  45989,   1,   5,   2, 113337608, 114178472, 114211680, 113881560, 114236416
  7672,  16,  16384,  23446,   5,   4,   1, 114229792, 107964248, 114069280, 111763384, 112553216
  7673,  16,  16384,  16950,   4,   4,   0, 114126736, 112425528, 112704744, 113968232, 113765880
  7674,  16,  16384,  13415,   4,   4,   0, 107796656, 113447312, 114059096, 112701712, 113767952
  7675,  16,  16384,  24546,   4,   3,   2, 114057088, 113664240, 112314264, 113583496, 105499096
  7676,  16,  16384,  16984,   3,   0,   2, 111508968, 111244992, 109954160, 111313240, 113656344
  7677,  16,  16384,  21526,   0,   1,   1, 112580896, 113862264, 113716736, 113504744, 113106456
  7678,  16,  16384,  30819,   1,   1,   0, 114023224, 114010960, 114282728, 114122648, 114328280
  7679,  16,  16384,   1500,   1,   2,   2, 114038584, 114011304, 113896160, 112842744, 103105536
  7680,  16,  16384,  18356,   2,   2,   0, 110761792, 109524216, 110937864, 110769624, 111182176
  7681,  16,  16384,   6134,   2,   2,   0, 111011016, 110823880, 110573672, 109422704, 110921200
  7682,  16,  16384,  12573,   2,   5,   2, 110826328, 109303640, 109775624, 104865248, 114084456
  7683,  16,  16384,  18512,   5,  21,   3, 114330792, 113944560, 107758520, 113783872, 116396768
  7684,  16,  16384,  22881,  21,  20,   1, 116083568, 116079568, 114410824, 115893224, 115767288
  7685,  16,  16384,  28462,  20,  20,   0, 115536656, 114197312, 115131888, 109572880, 115571232
  7686,  16,  16384,  28214,  20,   6,   3, 115923096, 115427080, 114346352, 115588632, 110169136
  7687,  16,  16384,  46570,   6,   6,   0, 110072456, 108651104, 110098080, 110127864, 110279552
  7688,  16,  16384,  19362,   6,   0,   3, 110256144, 110119136, 110215224, 109046592, 113862728
  7689,  16,  16384,   9570,   0,   5,   2, 113849552, 112339800, 113132760, 112784408, 114398608
  7690,  16,  16384,  41347,   5,   4,   1, 114312976, 106118168, 113859040, 114077144, 112827552
  7691,  16,  16384,   8938,   4,   5,   1, 114063648, 113795536, 113692528, 112715128, 112940432
  7692,  16,  16384,  45927,   5,   1,   2, 112955264, 113856384, 114017232, 106565304, 113893960
  7693,  16,  16384,  26423,   1,   0,   1, 113948520, 114132376, 113847304, 112756232, 112698968
  7694,  16,  16384,  49160,   0,   1,   1, 113867720, 112494920, 113725032, 113540480, 113872296
  7695,  16,  16384,  22876,   1,   0,   1, 114202208, 113973768, 113698512, 114122136, 113796040
  7696,  16,  16384,   4883,   0,   2,   2, 112667704, 113620856, 112423832, 113551168, 110901032
  7697,  16,  16384,   2084,   2,   3,   1, 110871400, 110509216, 109702824, 104700304, 111252560
  7698,  16,  16384,  16408,   3,   1,   2, 105426152, 111097784, 111028352, 111330648, 109105592
  7699,  16,  16384,   1672,   1,   0,   1, 111934912, 112690152, 113908288, 114031960, 112538568
  7700,  16,  16384,  33806,   0,   0,   0, 113856720, 112321928, 107683368, 113614936, 112842528
  7701,  16,  16384,  26828,   0,   1,   1, 113875392, 113585192, 112197088, 113673640, 113908632
  7702,  16,  16384,  39393,   1,   0,   1, 113056736, 113877136, 113998216, 114284480, 113870448
  7703,  16,  16384,  20388,   0,   1,   1, 112355872, 113732848, 113543056, 113520408, 112773512
  7704,  16,  16384,  32774,   1,   2,   2, 114038944, 114045984, 112893728, 114196368, 111063512
  7705,  16,  16384,  11509,   2,   1,   2, 110937416, 110849696, 109649792, 110553704, 114388088
  7706,  16,  16384,  21624,   1,   2,   2, 107896888, 112912720, 113984160, 113777408, 110746280
  7707,  16,  16384,  32308,   2,   2,   0, 110945576, 111000472, 110741392, 110610192, 109557192
  7708,  16,  16384,  17223,   2,   3,   1, 111039640, 110694408, 110739712, 110712528, 111517128
  7709,  16,  16384,   5359,   3,   9,   3, 105669080, 111144696, 111379216, 111173896, 108157928
  7710,  16,  16384,  17262,   9,   8,   1, 114217520, 114237768, 114186856, 113991216, 112603928
  7711,  16,  16384,  48234,   8,   8,   0, 114149440, 113692760, 113631688, 113539304, 113621544
  7712,  16,  16384,  29117,   8,   8,   0, 113170344, 113504976, 113536672, 113382432, 112914560
  7713,  16,  16384,   4641,   8,  11,   2, 113991944, 112612696, 113693768, 113746112, 111745168
  7714,  16,  16384,  31152,  11,   6,   2, 111673544, 110338824, 111458976, 111637008, 104327104
  7715,  16,  16384,  26043,   6,   7,   1, 110305016, 110049576, 109905504, 110166776, 111527288
  7716,  16,  16384,  24385,   7,   7,   0, 111713760, 110806072, 108789184, 106660296, 111430672
  7717,  16,  16384,  31439,   7,  15,   3, 111563872, 111096416, 111237912, 110476912, 111841600
  7718,  16,  16384,   7870,  15,  14,   1, 111835232, 110607624, 111396520, 112006928, 110905920
  7719,  16,  16384,  46981,  14,   5,   3, 109950400, 111065632, 109797704, 110081360, 114198088
  7720,  16,  16384,  34070,   5,  20,   3, 113989872, 112729800, 112988968, 107715528, 114229008
  7721,  16,  16384,  48294,  20,   5,   3, 110183632, 113905968, 115634216, 115491000, 114356256
  7722,  16,  16384,  36743,   5,   0,   2, 113977200, 113961672, 113010640, 112554624, 113765168
  7723,  16,  16384,  48352,   0,   0,   0, 112673840, 112275560, 112234024, 107357760, 112882584
  7724,  16,  16384,   2086,   0,   3,   2, 113664016, 113796520, 113611312, 113513776, 108963816
  7725,  16,  16384,  34960,   3,  14,   3, 111387152, 110352704, 110992472, 111268008, 109948888
  7726,  16,  16384,   2260,  14,  14,   0, 110092800, 110985480, 110888848, 111118624, 105184128
  7727,  16,  16384,  27982,  14,  12,   2, 111077968, 109510112, 110774056, 110859240, 113701336
  7728,  16,  16384,  36735,  12,  12,   0, 112296744, 112267416, 112134744, 107726184, 113742952
  7729,  16,  16384,  36700,  12,  13,   1, 113652560, 113482968, 113394664, 113782736, 114545280
  7730,  16,  16384,   8867,  13,  13,   0, 113068104, 113027736, 114341152, 113792144, 114326784
  7731,  16,  16384,  28030,  13,  13,   0, 114080976, 114078680, 114172064, 114160384, 112841200
  7732,  16,  16384,  21628,  13,  17,   2, 113326112, 114067408, 113948704, 111879760, 114807072
  7733,  16,  16384,  29798,  17,  16,   1, 116202048, 115622240, 115945512, 115674800, 115388720
  7734,  16,  16384,  37834,  16,  16,   0, 114388344, 115361472, 115371248, 115514696, 115466872
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  7793,  16,  16384,  42343,   2,   3,   1, 111058552, 109483288, 104777784, 110695912, 111435608
  7794,  16,  16384,   1348,   3,   1,   2, 111600936, 109619984, 110634720, 111274232, 114002088
  7795,  16,  16384,  39951,   1,   1,   0, 114183944, 114222312, 113860992, 113981496, 112637168
  7796,  16,  16384,  33308,   1,   4,   2, 113301160, 113779120, 112521800, 114105032, 113958760
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  7805,  16,  16384,    915,  22,  23,   1, 111862096, 112119992, 112217080, 112332376, 113465320
  7806,  16,  16384,  19215,  23,  23,   0, 113424080, 110817216, 113397936, 112246168, 107509392
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  7808,  16,  16384,  46083,  23,  22,   1, 113421392, 113448808, 113028152, 111270664, 112367584
  7809,  16,  16384,  44179,  22,  23,   1, 111470368, 112603736, 112549240, 112749336, 113651496
  7810,  16,  16384,  10824,  23,  23,   0, 113475880, 112856224, 113046936, 113363216, 110605496
  7811,  16,  16384,  40042,  23,  23,   0, 113610936, 112149008, 113274720, 113371120, 107361664
  7812,  16,  16384,  37634,  23,   7,   3, 111803920, 112996984, 113019768, 112996216, 111530008
  7813,  16,  16384,  25751,   7,   9,   2, 106546144, 107874688, 111520472, 111184320, 112154832
  7814,  16,  16384,   6715,   9,   7,   2, 112983536, 114233936, 113941640, 113553200, 111605608
  7815,  16,  16384,   3250,   7,   8,   2, 111841424, 111544168, 111318096, 102772416, 107630584
  7816,  16,  16384,    418,   8,   0,   3, 112979960, 113738872, 113458056, 113290424, 112996584
  7817,  16,  16384,  41936,   0,   1,   1, 113641552, 113482336, 113740752, 111109840, 113999632
  7818,  16,  16384,  24256,   1,  17,   3, 114000944, 112988824, 113733200, 113966104, 115999696
  7819,  16,  16384,  47349,  17,  16,   1, 116104064, 115846264, 114513400, 113821456, 115501752
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  7822,  16,  16384,  39391,  12,  16,   2, 107715824, 114010840, 113605480, 112999688, 115889952
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  7825,  16,  16384,   2403,  11,   3,   3, 111837808, 111431000, 111548536, 111312760, 110356128
  7826,  16,  16384,  44609,   3,   3,   0, 111800416, 111418856, 105114792, 110338000, 111823752
  7827,  16,  16384,  26723,   3,   3,   0, 110178536, 111168560, 111281360, 110410760, 111688952
  7828,  16,  16384,   5066,   3,   5,   2, 111416720, 110019136, 111190416, 111449912, 114004008
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  7830,  16,  16384,  14271,   4,   5,   1, 113629616, 114014704, 112690568, 113682520, 107871064
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  7839,  16,  16384,   9603,  13,  12,   1, 114333616, 114268760, 112792632, 114179336, 112779648
  7840,  16,  16384,  24591,  12,  14,   2, 112886208, 111087456, 107623216, 113775648, 109880168
  7841,  16,  16384,  48035,  14,  15,   1, 104808568, 110661080, 110276784, 109157000, 110821184
  7842,  16,  16384,   8524,  15,  15,   0, 110587624, 111588088, 111330888, 111494608, 111769480
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  7848,  16,  16384,  22216,  20,  21,   1, 113973312, 115098648, 115389320, 115661616, 115995336
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  7851,  16,  16384,  36172,  21,  20,   1, 115929288, 112812808, 112743592, 114706504, 109814568
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  7853,  16,  16384,  20592,  21,  18,   2, 114535288, 115762480, 115965560, 115964256, 107954968
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  7857,  16,  16384,   9868,   1,   5,   2, 114063696, 113047560, 113892696, 112711056, 114202152
  7858,  16,  16384,  37186,   5,   1,   2, 107985176, 113929504, 113961472, 113453160, 114072888
  7859,  16,  16384,  15660,   1,   5,   2, 112958912, 114064008, 114081512, 106758776, 114179136
  7860,  16,  16384,    971,   5,   4,   1, 113428128, 113189080, 114053496, 114281328, 113741520
  7861,  16,  16384,  18040,   4,   4,   0, 113853976, 110964840, 113010496, 113834112, 113694656
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  7863,  16,  16384,  30384,   2,   4,   2, 110992320, 110844368, 110881264, 104635328, 113059000
  7864,  16,  16384,  47996,   4,   5,   1, 113904880, 113823408, 113673112, 114051280, 114131416
  7865,  16,  16384,  26785,   5,  14,   3, 114062176, 114285600, 113995816, 114008864, 110851104
  7866,  16,  16384,  31268,  14,  12,   2, 110862080, 109881952, 110762480, 110734272, 113675280
  7867,  16,  16384,   4672,  12,  12,   0, 114061336, 113870960, 111386136, 113603728, 113865160
  7868,  16,  16384,  24557,  12,  11,   3, 113864040, 113630392, 111299736, 107445960, 110246192
  7869,  16,  16384,  37862,  11,  11,   0, 111687184, 110559072, 111499496, 111640952, 111412296
  7870,  16,  16384,   3337,  11,  10,   1, 111638344, 103395056, 111483736, 111696376, 109804072
  7871,  16,  16384,  13262,  10,  13,   3, 110984112, 110542392, 109716840, 110586824, 112847384
  7872,  16,  16384,  23186,  13,  12,   1, 114236880, 113964480, 114165456, 114032848, 113760440
  7873,  16,  16384,  44518,  12,   7,   3, 113561656, 103724872, 113591784, 113496584, 111429568
  7874,  16,  16384,  21990,   7,   7,   0, 111481528, 111734736, 111750832, 111346880, 108880752
  7875,  16,  16384,  45450,   7,   7,   0, 111438320, 111339104, 111019488, 111479056, 111487200
  7876,  16,  16384,  49085,   7,   6,   1, 108788504, 105543624, 111340952, 111134304, 108910392
  7877,  16,  16384,  19241,   6,   3,   3, 110160736, 109882448, 110042288, 108723296, 111368120
  7878,  16,  16384,  23369,   3,  18,   3, 111373480, 109970904, 110749680, 111774544, 106690712
  7879,  16,  16384,  42401,  18,  19,   1, 112593392, 111201752, 112269928, 112289520, 113649136
  7880,  16,  16384,  12820,  19,  20,   2, 113349112, 113132704, 112805032, 112195656, 115667296
  7881,  16,  16384,  46372,  20,  21,   1, 115567448, 113079704, 114079336, 115522056, 110238296
  7882,  16,  16384,   4290,  21,  20,   1, 115930752, 114265904, 115954440, 114142192, 115667528
  7883,  16,  16384,  39472,  20,  19,   2, 115378296, 115286664, 113740080, 114287648, 111949456
  7884,  16,  16384,  19306,  19,  17,   3, 112153360, 107225424, 113246568, 113275472, 114958800
  7885,  16,  16384,  35335,  17,   4,   3, 115916632, 115902928, 115852832, 115733704, 112883008
  7886,  16,  16384,   6493,   4,   5,   1, 113982840, 112386752, 113907096, 112960672, 113049064
  7887,  16,  16384,  15674,   5,   2,   2, 114065720, 112786696, 113937704, 112990000, 108638944
  7888,  16,  16384,  13964,   2,   2,   0, 111106376, 110870808, 110798360, 110557136, 110944832
  7889,  16,  16384,  45769,   2,  20,   3, 104836880, 110458896, 110816632, 109596056, 115445944
  7890,  16,  16384,  22921,  20,  19,   2, 115348840, 115355864, 114040456, 114174904, 113360768
  7891,  16,  16384,  34498,  19,  18,   1, 107805688, 112928080, 112993160, 111728896, 112612560
  7892,  16,  16384,   9843,  18,  20,   2, 112793552, 112437120, 110976600, 106609128, 114434784
  7893,  16,  16384,    529,  20,  19,   2, 115609968, 115435816, 115316432, 113010016, 112997552
  7894,  16,  16384,  35065,  19,  15,   3, 112551376, 113295888, 113080528, 113062048, 110460040
  7895,  16,  16384,  10422,  15,  15,   0, 111697864, 111106416, 110715752, 110378216, 111743560
  7896,  16,  16384,  32838,  15,  15,   0, 110179080, 111532712, 110002328, 107347448, 111747728
  7897,  16,  16384,   2696,  15,  14,   1, 111701320, 110745576, 110779184, 111614280, 111242152
  7898,  16,  16384,  27359,  14,  20,   3, 109033288, 110759152, 110879424, 111005160, 115408776
  7899,  16,  16384,   1906,  20,  20,   0, 115378504, 109634640, 115337384, 115096496, 113370632
  7900,  16,  16384,  48158,  20,  20,   0, 114996192, 115524304, 115614480, 115200456, 115646232
  7901,  16,  16384,  43252,  20,  18,   2, 115654176, 115254368, 115325640, 115089504, 112648920
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  7903,  16,  16384,   3246,  19,  19,   0, 107558400, 111812296, 113142272, 112917560, 113212520
  7904,  16,  16384,  41926,  19,  15,   3, 112292896, 113308528, 112208584, 113253744, 111619936
  7905,  16,  16384,   9796,  15,  19,   3, 111666872, 111695104, 111861184, 110407072, 111985288
  7906,  16,  16384,  27489,  19,  18,   1, 113288240, 113166640, 111783168, 113020512, 112582104
  7907,  16,  16384,   5934,  18,  19,   1, 110005880, 112387016, 112305336, 112378272, 112993024
  7908,  16,  16384,   6326,  19,  20,   2, 112338960, 106210040, 113172440, 113168592, 108925360
  7909,  16,  16384,  16503,  20,  20,   0, 113869552, 115539456, 115311632, 115070904, 114072640
  7910,  16,  16384,   6808,  20,  21,   1, 114349968, 115622624, 115349672, 115048040, 110357752
  7911,  16,  16384,  25165,  21,  18,   2, 114726136, 115725416, 115738080, 115743688, 112451944
  7912,  16,  16384,   8405,  18,  18,   0, 112606728, 112193096, 112609280, 112435976, 111320776
  7913,  16,  16384,  42740,  18,   1,   3, 111344000, 112562752, 112243504, 112234608, 114044696
  7914,  16,  16384,  30134,   1,  17,   3, 107980464, 112693824, 114041560, 112803784, 116027240
  7915,  16,  16384,  26092,  17,  14,   2, 115973840, 115564408, 115663360, 111912112, 110781080
  7916,  16,  16384,   1454,  14,  20,   3, 110098696, 109559552, 109937680, 110787584, 114417744
  7917,  16,  16384,   2109,  20,  21,   1, 115821384, 115261544, 114965952, 115133160, 115855056
  7918,  16,  16384,  46504,  21,  20,   1, 116271120, 115668632, 115974816, 115888032, 114946944
  7919,  16,  16384,  31567,  20,  23,   2, 114446344, 114003504, 115288688, 115738320, 113481152
  7920,  16,  16384,  17405,  23,   2,   3, 105931016, 113182784, 113167408, 112800544, 110900920
  7921,  16,  16384,  22849,   2,   2,   0, 110983768, 110687024, 110487664, 110704336, 108584016
  7922,  16,  16384,   3385,   2,  16,   3, 110699304, 110788312, 110905472, 110769160, 112837248
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  7924,  16,  16384,  45509,  16,  12,   2, 115607216, 115284832, 115562264, 115296024, 113975208
  7925,  16,  16384,  18616,  12,  11,   3, 112720896, 111519952, 113862864, 113738080, 105594224
  7926,  16,  16384,  12150,  11,   6,   2, 111682472, 111281112, 110567328, 111625992, 110350504
  7927,  16,  16384,  25423,   6,   6,   0, 110110576, 105525520, 107346760, 108631264, 110217744
  7928,  16,  16384,  17015,   6,   7,   1, 110078776, 110094912, 110054816, 110065608, 111403416
  7929,  16,  16384,  26697,   7,   7,   0, 111539504, 110168024, 111200440, 110433512, 110135216
  7930,  16,  16384,  43393,   7,  10,   2, 111614136, 111323128, 111419776, 110264200, 110921312
  7931,  16,  16384,  14134,  10,   8,   2, 110720832, 109564552, 110810072, 110829208, 113513384
  7932,  16,  16384,  38209,   8,  13,   3, 112765416, 111265872, 113563520, 113633760, 113305600
  7933,  16,  16384,  44716,  13,  22,   3, 112847960, 114366368, 114329576, 114164208, 109964040
  7934,  16,  16384,  32129,  22,  10,   3, 111395624, 111135888, 112529136, 112339912, 111114624
  7935,  16,  16384,  32827,  10,  11,   1, 111118800, 110596832, 109563752, 110818240, 111337800
  7936,  16,  16384,  45170,  11,  11,   0, 111620336, 110373160, 111535416, 111430920, 111839608
  7937,  16,  16384,  37703,  11,   7,   2, 111752176, 105524792, 110172512, 110370280, 111710384
  7938,  16,  16384,  49860,   7,   8,   2, 111283768, 111495360, 111163488, 109823216, 111390320
  7939,  16,  16384,   6646,   8,   9,   1, 114020488, 113731720, 113895000, 107116712, 114457424
  7940,  16,  16384,  24381,   9,  17,   3, 114216944, 111495624, 110333912, 114131280, 116043800
  7941,  16,  16384,  22954,  17,  16,   1, 113276680, 115688392, 115960992, 115966728, 114325696
  7942,  16,  16384,  10003,  16,  16,   0, 114578344, 115888088, 115392360, 115348696, 115612616
  7943,  16,  16384,  22032,  16,  12,   2, 115549264, 114203240, 115352200, 114253616, 112638984
  7944,  16,  16384,   2967,  12,  15,   2, 113900344, 113761656, 112520944, 113579456, 110427752
  7945,  16,  16384,  27989,  15,  15,   0, 111848736, 111445440, 111503672, 110472184, 110481592
  7946,  16,  16384,   1083,  15,  14,   1, 111227880, 111409248, 111589816, 110769056, 110790520
  7947,  16,  16384,  39688,  14,  12,   2, 109905944, 109860016, 111133936, 110770880, 112831248
  7948,  16,  16384,  26562,  12,  12,   0, 112944992, 113676896, 107574680, 113628672, 113766992
  7949,  16,  16384,  28392,  12,  12,   0, 113582936, 112601592, 113633328, 113411160, 113616640
  7950,  16,  16384,  49219,  12,  12,   0, 113894944, 113629152, 111443128, 113732968, 107770840
  7951,  16,  16384,  45556,  12,  13,   1, 113219104, 112584544, 113545472, 112484144, 114232688
  7952,  16,  16384,  47606,  13,  12,   1, 112939968, 111939056, 113996784, 114206360, 113895280
  7953,  16,  16384,  33808,  12,  12,   0, 107657472, 113704352, 112767936, 113781352, 114049776
  7954,  16,  16384,  45599,  12,  12,   0, 113834488, 113556584, 113595392, 113488672, 113157672
  7955,  16,  16384,  12623,  12,  18,   3, 113232424, 113896272, 113657096, 107597552, 112354880
  7956,  16,  16384,  49293,  18,  18,   0, 112620000, 112414656, 111089096, 110051904, 112654264
  7957,  16,  16384,  49520,  18,  23,   2, 112314608, 112353112, 112426000, 112136000, 113472616
  7958,  16,  16384,  43683,  23,  22,   1, 113381904, 113416136, 113388448, 111938552, 112503536
  7959,  16,  16384,  22171,  22,  20,   2, 112939328, 112441104, 112455784, 106434920, 113868936
  7960,  16,  16384,  42353,  20,  21,   1, 115535152, 114346224, 114665648, 115361848, 116171552
  7961,  16,  16384,  32409,  21,   7,   3, 109028968, 115771792, 115665624, 115942656, 111595088
  7962,  16,  16384,  47551,   7,  10,   2, 110067440, 111271856, 111082760, 111484216, 108539448
  7963,  16,  16384,  47980,  10,   7,   2, 104753520, 110564672, 110843920, 110529928, 111464192
  7964,  16,  16384,  21154,   7,   7,   0, 111586584, 111546568, 110076048, 111092672, 111427040
  7965,  16,  16384,  44677,   7,  11,   2, 111529984, 110026760, 111246104, 110171624, 111611176
  7966,  16,  16384,  24621,  11,  19,   3, 110734424, 111672168, 111542672, 110617576, 110314104
  7967,  16,  16384,  22170,  19,  23,   2, 112122456, 113196616, 113134624, 111901000, 113292160
  7968,  16,  16384,   6331,  23,  20,   2, 113351872, 113276072, 112124376, 113185920, 115706344
  7969,  16,  16384,  10441,  20,  17,   3, 114338512, 114119752, 115520600, 115580304, 116128272
  7970,  16,  16384,   1270,  17,  16,   1, 109067864, 115771840, 115867056, 115997464, 115448648
  7971,  16,  16384,  26197,  16,   5,   3, 110848672, 111418880, 114090672, 114875104, 107850752
  7972,  16,  16384,  41253,   5,   5,   0, 114170680, 114019288, 112614920, 112562648, 113936136
  7973,  16,  16384,  10775,   5,  11,   3, 114032624, 114191744, 113971960, 111766328, 111575920
  7974,  16,  16384,   9000,  11,  14,   3, 111656512, 111507392, 109119480, 108253408, 104955040
  7975,  16,  16384,  40776,  14,  14,   0, 111029192, 110840248, 109747496, 109648400, 110935784
  7976,  16,  16384,  33980,  14,  15,   1, 111018016, 111028096, 111337888, 108545568, 111695784
  7977,  16,  16384,   2870,  15,  14,   1, 105214672, 110809288, 110314400, 111654816, 110160880
  7978,  16,  16384,  41959,  14,  13,   2, 111201008, 110841272, 111015280, 111028088, 112840992
  7979,  16,  16384,  19152,  13,  13,   0, 114570304, 114404992, 113805352, 114322584, 113831352
  7980,  16,  16384,   3291,  13,  12,   1, 114217248, 114147432, 113063448, 113958232, 112571352
  7981,  16,  16384,  45064,  12,  12,   0, 113927568, 112849624, 112904904, 113719208, 113950600
  7982,  16,  16384,   2310,  12,  13,   1, 113747288, 113761776, 113907456, 107629096, 112923928
  7983,  16,  16384,  41753,  13,  19,   3, 108292864, 113104784, 113870680, 112886160, 112063264
  7984,  16,  16384,  17202,  19,  21,   2, 105071600, 113403528, 111814256, 113243328, 116082744
  7985,  16,  16384,  41887,  21,   2,   3, 114816912, 116045544, 114916152, 110099400, 110882168
  7986,  16,  16384,  26670,   2,   3,   1, 109690024, 110994336, 110874824, 110868640, 105439320
  7987,  16,  16384,  46120,   3,  14,   3, 111681160, 111271696, 111302800, 111427960, 109817384
  7988,  16,  16384,  15632,  14,  15,   1, 110980456, 110687776, 104746760, 110703248, 111597152
  7989,  16,  16384,   3461,  15,  15,   0, 111456344, 110023200, 110599592, 111609928, 111749704
  7990,  16,  16384,  19832,  15,  15,   0, 111796424, 111870832, 111619400, 111725112, 106834000
  7991,  16,  16384,  43859,  15,  14,   1, 109756768, 110696872, 110644304, 111437216, 111247224
  7992,  16,  16384,  32126,  14,  14,   0, 111366728, 110938208, 110809992, 109856072, 110997176
  7993,  16,  16384,  30912,  14,  14,   0, 105164880, 110817480, 109864032, 110996240, 109983528
  7994,  16,  16384,  26172,  14,  14,   0, 110967664, 110816752, 110993696, 110872448, 110885696
  7995,  16,  16384,  17752,  14,  15,   1, 109735976, 110953472, 110901752, 104838704, 110413328
  7996,  16,  16384,  49904,  15,  15,   0, 110296728, 110389256, 111588872, 111707048, 111729400
  7997,  16,  16384,  14854,  15,  15,   0, 111592880, 111671912, 111444128, 111629664, 107108784
  7998,  16,  16384,  16961,  15,  17,   2, 108680568, 110727824, 109565080, 110640272, 116032464
  7999,  16,  16384,   9185,  17,  19,   3, 114710072, 114472096, 109979728, 115631264, 113485472
  8000,  16,  16384,  26989,  19,  20,   2, 113503168, 113136768, 111791720, 113072384, 115788040
  8001,  16,  16384,  25755,  20,  21,   1, 115648408, 114214160, 115425040, 115784824, 116248096
  8002,  16,  16384,  47978,  21,  11,   3, 116185200, 115979392, 116096968, 114555456, 108658136
  8003,  16,  16384,  40106,  11,  10,   1, 110923720, 105607288, 110170608, 111511408, 111174216
  8004,  16,  16384,   3629,  10,   6,   2, 110037368, 110838112, 110813976, 110884848, 104536368
  8005,  16,  16384,  33660,   6,  11,   2, 110210696, 110109128, 107432504, 109909976, 111627712
  8006,  16,  16384,   7711,  11,  14,   3, 112008744, 111774816, 111284408, 111229384, 111098952
  8007,  16,  16384,   5309,  14,   5,   3, 110981400, 110720488, 109719712, 110793672, 114086712
  8008,  16,  16384,  44723,   5,  11,   3, 114452552, 112744344, 108124824, 114195712, 111597880
  8009,  16,  16384,  29693,  11,   9,   2, 111790016, 111489792, 111243952, 110615808, 113075848
  8010,  16,  16384,  39719,   9,   9,   0, 114335152, 114188464, 113923400, 113016440, 114306968
  8011,  16,  16384,  32286,   9,  15,   3, 114431968, 114118176, 114067720, 113972128, 104291376
  8012,  16,  16384,  27820,  15,  23,   3, 111629928, 110354984, 111300368, 111430880, 113117320
  8013,  16,  16384,  29998,  23,  21,   2, 113350888, 112969512, 111703248, 113190872, 115980776
  8014,  16,  16384,  12285,  21,  23,   2, 114798536, 116268904, 114480640, 110065248, 113447768
  8015,  16,  16384,  12471,  23,  20,   2, 113357224, 107443656, 113064008, 112572848, 114547848
  8016,  16,  16384,   3071,  20,  20,   0, 109579280, 115300928, 113865576, 115107576, 115606648
  8017,  16,  16384,  22886,  20,  19,   2, 115371112, 114283672, 115642512, 115655048, 113735336
  8018,  16,  16384,   3442,  19,  19,   0, 112182632, 113124656, 113600776, 112698376, 111509600
  8019,  16,  16384,  22251,  19,  23,   2, 106379880, 113293800, 113059544, 112948624, 113424024
  8020,  16,  16384,  21499,  23,  23,   0, 113310176, 113185768, 111702888, 113341952, 113242656
  8021,  16,  16384,  26515,  23,  22,   1, 113443816, 110611592, 112091832, 113131488, 112360752
  8022,  16,  16384,  19521,  22,  22,   0, 111547208, 112535120, 112479760, 112595016, 113072360
  8023,  16,  16384,  18683,  22,  22,   0, 113013440, 110206576, 112452496, 112529600, 105478064
  8024,  16,  16384,  37019,  22,  20,   2, 113009280, 112596424, 111061368, 112568160, 115407288
  8025,  16,  16384,  24036,  20,  21,   1, 115482232, 114158800, 115275336, 114067192, 114847424
  8026,  16,  16384,   3413,  21,  17,   3, 115980848, 115843960, 108876936, 114606984, 116055584
  8027,  16,  16384,   8350,  17,  17,   0, 115921464, 115855200, 115613416, 115955328, 115808264
  8028,  16,  16384,  19043,  17,  17,   0, 114548176, 110030560, 114657536, 115615496, 115856648
  8029,  16,  16384,  14391,  17,  16,   1, 113698168, 116072632, 115807248, 116215408, 114314504
  8030,  16,  16384,   1508,  16,  14,   2, 115483880, 114320000, 109506800, 115683600, 109727696
  8031,  16,  16384,   4921,  14,  16,   2, 110995536, 111002464, 110663720, 111012184, 114235456
  8032,  16,  16384,  25092,  16,  16,   0, 115852744, 114218016, 115691656, 115165680, 115481096
  8033,  16,  16384,   4620,  16,  12,   2, 110066368, 115095424, 115507368, 114115528, 113704640
  8034,  16,  16384,  33099,  12,  10,   3, 113821760, 113719984, 112115632, 113551592, 110314480
  8035,  16,  16384,  41159,  10,  21,   3, 110954840, 110458088, 110352968, 109734936, 113797288
  8036,  16,  16384,  25795,  21,  13,   3, 115648488, 115728144, 109956720, 115600120, 114322032
  8037,  16,  16384,   5196,  13,   4,   3, 114274784, 114189384, 113714992, 113911832, 111283864
  8038,  16,  16384,  21360,   4,   4,   0, 112833840, 114019144, 113769032, 113867232, 113963784
  8039,  16,  16384,   2196,   4,   4,   0, 107629112, 113721736, 113717160, 113640768, 112647416
  8040,  16,  16384,  36494,   4,   4,   0, 113881256, 112352960, 112904528, 112419872, 113943152
  8041,  16,  16384,  11187,   4,   5,   1, 113715096, 113841864, 113730072, 110617216, 114371008
  8042,  16,  16384,  47182,   5,  10,   3, 114089480, 114061008, 112827912, 114093576, 111162136
  8043,  16,  16384,  18540,  10,  10,   0, 110852376, 104916088, 110818792, 109701616, 109668504
  8044,  16,  16384,  24199,  10,   6,   2, 111071480, 109832016, 111047976, 109952112, 110097928
  8045,  16,  16384,  29817,   6,   9,   2, 109738960, 110011704, 109773368, 110063544, 113038328
  8046,  16,  16384,  18346,   9,   8,   1, 111952200, 114327728, 114267272, 114013096, 113969488
  8047,  16,  16384,  30331,   8,   6,   2, 112880288, 108413448, 113682048, 112194584, 110212616
  8048,  16,  16384,   6687,   6,   6,   0, 109202848, 109299680, 107989616, 110221456, 104630792
  8049,  16,  16384,  37940,   6,  13,   3, 110254344, 109760968, 109850056, 108962568, 114407320
  8050,  16,  16384,   1033,  13,   5,   3, 114503736, 107878016, 114079080, 112374264, 111072912
  8051,  16,  16384,  14434,   5,   4,   1, 114001576, 113888880, 114103488, 113968376, 112771616
  8052,  16,  16384,  33044,   4,  19,   3, 113908592, 112980336, 112055216, 113079944, 113430712
  8053,  16,  16384,  20487,  19,   1,   3, 107599688, 112918992, 113102696, 112981456, 107948576
  8054,  16,  16384,  27175,   1,  19,   3, 113953128, 113641512, 113998040, 113969696, 113473296
  8055,  16,  16384,  15132,  19,  20,   2, 112255560, 113172928, 110683400, 109693096, 115520880
  8056,  16,  16384,   6362,  20,   3,   3, 115418232, 115100608, 113739008, 115059872, 111470272
  8057,  16,  16384,  25066,   3,   3,   0, 111516184, 111016568, 110241616, 111373400, 111742648
  8058,  16,  16384,  21543,   3,   3,   0, 110186912, 111437512, 110000032, 111332176, 110308784
  8059,  16,  16384,  24663,   3,  13,   3, 111269968, 110028648, 106635952, 111523992, 113009376
  8060,  16,  16384,  40518,  13,  13,   0, 114303184, 113073136, 113291256, 114129048, 112796168
  8061,  16,  16384,   4226,  13,  13,   0, 114212208, 114283088, 113863720, 113958696, 114377152
  8062,  16,  16384,  18446,  13,  15,   2, 114270784, 106146088, 113933168, 114126504, 111722296
  8063,  16,  16384,  17627,  15,   9,   3, 110705080, 111425712, 111417168, 111116640, 114072616
  8064,  16,  16384,  21131,   9,   8,   1, 114348944, 114210584, 113967856, 113225792, 112687944
  8065,  16,  16384,  18376,   8,   7,   2, 113711040, 113740144, 113853712, 113311352, 111650912
  8066,  16,  16384,  23772,   7,  12,   3, 111268608, 111651384, 104902528, 109675496, 113658888
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  8294,  16,  16384,  38513,   1,   1,   0, 114036024, 114143600, 113940384, 114091984, 114001776
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  8307,  16,  16384,   3963,  19,  19,   0, 111162104, 107403256, 113183272, 113056560, 113384816
  8308,  16,  16384,  20256,  19,  21,   2, 113404984, 113049816, 113097728, 113222440, 116000752
  8309,  16,  16384,  28174,  21,  20,   1, 113888888, 112293888, 115699360, 114659640, 115547072
  8310,  16,  16384,  12828,  20,  21,   1, 115560592, 115488624, 115387968, 115819408, 116062568
  8311,  16,  16384,  47494,  21,  20,   1, 116222976, 115533344, 115934424, 110023600, 115650520
  8312,  16,  16384,  18599,  20,   6,   3, 114178768, 115403480, 115267952, 115420856, 109069760
  8313,  16,  16384,  21273,   6,   7,   1, 110269128, 109741472, 110252832, 103215376, 110142256
  8314,  16,  16384,  26340,   7,  11,   2, 111566704, 110059320, 111370432, 111292200, 111836856
  8315,  16,  16384,  11648,  11,   2,   3, 111643584, 111457856, 111689320, 108746584, 109697040
  8316,  16,  16384,   4352,   2,   6,   3, 109963064, 110799816, 111054560, 110836936, 104170872
  8317,  16,  16384,  30260,   6,   6,   0, 110221248, 110083944, 110081776, 108879448, 110020352
  8318,  16,  16384,  33424,   6,   8,   2, 110394432, 110149496, 108931096, 109061304, 112422920
  8319,  16,  16384,  29361,   8,  11,   2, 109597896, 112371584, 113650520, 113419920, 111603072
  8320,  16,  16384,  22239,  11,  10,   1, 110922584, 110047808, 111405152, 111565432, 110948696
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  8324,  16,  16384,  11061,   1,   1,   0, 113985256, 112829672, 112982480, 113917744, 114216632
  8325,  16,  16384,  27983,   1,   0,   1, 113936040, 113976784, 114112576, 107843120, 112464264
  8326,  16,  16384,  38288,   0,   6,   3, 114035008, 111040888, 113712552, 113820792, 108876120
  8327,  16,  16384,  35156,   6,   6,   0, 110132328, 108789016, 110060432, 110082192, 110183560
  8328,  16,  16384,  10113,   6,  19,   3, 110138440, 109176008, 110029648, 104397856, 112478824
  8329,  16,  16384,  29546,  19,  19,   0, 111641912, 113433984, 113170824, 111951808, 112220440
  8330,  16,  16384,   2518,  19,  18,   1, 113106024, 113064496, 113403888, 113154576, 112493256
  8331,  16,  16384,  18643,  18,  18,   0, 111290464, 112491928, 112098712, 105277432, 112596592
  8332,  16,  16384,  18407,  18,  19,   1, 111520104, 112644352, 112415408, 112323336, 113244240
  8333,  16,  16384,  35683,  19,  18,   1, 113307488, 107403200, 113059736, 111952088, 111324144
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  8335,  16,  16384,  17669,  16,  17,   1, 115785688, 115276448, 114062680, 109670352, 114880112
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  8339,  16,  16384,  35629,  11,  10,   1, 104507840, 111288056, 111296312, 111377672, 110878432
  8340,  16,  16384,  10325,  10,  10,   0, 109760528, 110910808, 110889928, 109926168, 110232912
  8341,  16,  16384,  38185,  10,  11,   1, 105021680, 109747088, 110673336, 111020472, 111563944
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  8350,  16,  16384,   1614,  10,  12,   3, 111064096, 110863776, 109630544, 103608872, 113985512
  8351,  16,  16384,  16363,  12,  12,   0, 113917112, 113520840, 107702552, 113733056, 113926872
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  8354,  16,  16384,  20848,  13,  12,   1, 112852520, 114250808, 114017592, 114002360, 112515112
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  8359,  16,  16384,   5751,   0,   3,   2, 113055440, 113454632, 112419592, 113467696, 111440520
  8360,  16,  16384,  24350,   3,   3,   0, 110357288, 111451824, 111399552, 111394120, 111589400
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  8364,  16,  16384,  26414,   0,   3,   2, 112510944, 113719024, 107761816, 113697104, 111525952
  8365,  16,  16384,  48205,   3,   2,   1, 111828936, 111318448, 111194864, 111196304, 109542264
  8366,  16,  16384,  41187,   2,   2,   0, 109396368, 104651976, 109533696, 110992920, 111009728
  8367,  16,  16384,  29491,   2,   2,   0, 109501344, 110306104, 110924384, 110601512, 110465600
  8368,  16,  16384,  39342,   2,   3,   1, 111009584, 109632176, 110819200, 109605776, 111718480
  8369,  16,  16384,  34002,   3,   3,   0, 110545072, 111439520, 111310696, 111370616, 111522896
  8370,  16,  16384,  16285,   3,  12,   3, 105442384, 111163024, 111138728, 110755008, 111946512
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  8373,  16,  16384,   9451,  14,   6,   3, 110924904, 110967064, 109107456, 110241856, 110046656
  8374,  16,  16384,  32418,   6,  18,   3, 108070760, 110266848, 110076064, 110127192, 112386432
  8375,  16,  16384,  29310,  18,  18,   0, 111512040, 112275224, 112423768, 112251632, 112773784
  8376,  16,  16384,  23527,  18,  18,   0, 111273096, 111797248, 111694376, 108825184, 112463816
  8377,  16,  16384,  15825,  18,  18,   0, 112606712, 112490336, 111546248, 112252680, 112505520
  8378,  16,  16384,  49936,  18,  19,   1, 112582424, 112391136, 110918464, 112469200, 113422624
  8379,  16,  16384,  28792,  19,  18,   1, 112007856, 113095984, 113269240, 111840736, 112529728
  8380,  16,  16384,   1655,  18,  11,   3, 112475920, 112258088, 112432968, 111077304, 111660136
  8381,  16,  16384,  11459,  11,  11,   0, 111577688, 111426080, 110490144, 110205288, 111743128
  8382,  16,  16384,   6635,  11,   8,   2, 111440424, 105922472, 110203584, 111416280, 113876840
  8383,  16,  16384,  18373,   8,   9,   1, 113707568, 113561320, 112449152, 113446968, 108037384
  8384,  16,  16384,  43736,   9,   7,   2, 113987352, 112811192, 113758976, 114158104, 111589616
  8385,  16,  16384,  47161,   7,   9,   2, 110135528, 111119304, 111536448, 111463008, 114283088
  8386,  16,  16384,  15673,   9,   8,   1, 113051984, 109010888, 112992784, 113914168, 112759304
  8387,  16,  16384,  45264,   8,   6,   2, 113239184, 104969552, 113825112, 113761064, 110118288
  8388,  16,  16384,  39776,   6,   6,   0, 110370544, 109985632, 108740176, 110011712, 110008224
  8389,  16,  16384,  37636,   6,   7,   1, 104058904, 110123984, 109992392, 107291080, 111626032
  8390,  16,  16384,  41469,   7,   8,   2, 111902584, 111397952, 110598328, 111597928, 113948480
  8391,  16,  16384,  29916,   8,   8,   0, 113818504, 113259880, 112723832, 112198552, 113606920
  8392,  16,  16384,   5657,   8,   1,   3, 114021128, 113685680, 113633208, 112477712, 113029624
  8393,  16,  16384,  31294,   1,  23,   3, 107950168, 113002000, 114029184, 114012000, 113344352
  8394,  16,  16384,  14480,  23,  20,   2, 112163488, 112961368, 113246664, 113111112, 115504600
  8395,  16,  16384,    427,  20,  21,   1, 109774704, 115406904, 114924552, 115086952, 116111184
  8396,  16,  16384,  30841,  21,  17,   3, 116154952, 115763664, 115689200, 115578984, 115980240
  8397,  16,  16384,  10382,  17,  16,   1, 114649352, 116094472, 116117552, 114558744, 115258304
  8398,  16,  16384,  43269,  16,  18,   3, 115768096, 115598296, 112889656, 115764304, 112583784
  8399,  16,  16384,  40462,  18,   9,   3, 112546832, 112473784, 112440464, 111955720, 112027208
  8400,  16,  16384,  38930,   9,  16,   3, 112822880, 114030416, 114193288, 114084688, 113383256
  8401,  16,  16384,  16409,  16,  16,   0, 115856064, 115841160, 115523320, 115559704, 115869672
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  8550,  16,  16384,  46328,   5,  21,   3, 107656560, 112987752, 114155688, 112717400, 116055864
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  8554,  16,  16384,  22939,  11,  10,   1, 111448112, 110570800, 110288040, 111344080, 110740824
  8555,  16,  16384,  41404,  10,   2,   3, 111048944, 110866184, 110730400, 109554456, 110067600
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  8557,  16,  16384,  21264,  17,   9,   3, 114814992, 115847320, 115946264, 115803992, 114143312
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  8559,  16,  16384,  38101,  10,  22,   3, 110766544, 108834264, 105631984, 111077808, 111787864
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  8563,  16,  16384,   2218,  15,   1,   3, 111464568, 111726176, 111266672, 107683680, 114340024
  8564,  16,  16384,   8095,   1,   1,   0, 112938312, 112691616, 114004688, 114124648, 114111136
  8565,  16,  16384,  49864,   1,  10,   3, 114174736, 114087504, 114300792, 112881296, 110823736
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  8713,  16,  16384,  14462,  12,   0,   3, 113768464, 112721736, 113536840, 112770600, 113492248
  8714,  16,  16384,  25779,   0,   0,   0, 112445064, 113689424, 112531160, 113594512, 113862712
  8715,  16,  16384,  44932,   0,   0,   0, 113750288, 113655040, 113714464, 113845112, 113670768
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  8721,  16,  16384,   9348,  14,  14,   0, 109803248, 110916464, 111023216, 110890744, 109890104
  8722,  16,  16384,  19344,  14,  15,   1, 110758384, 110712144, 110754648, 110775400, 110683416
  8723,  16,  16384,   1998,  15,  19,   3, 111526544, 111387784, 111554328, 110362032, 112053080
  8724,  16,  16384,  27059,  19,  18,   1, 113293760, 111874144, 113249040, 113206816, 112455272
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  8728,  16,  16384,  35212,  14,  16,   2, 110863288, 111048768, 110717968, 110889768, 114065880
  8729,  16,  16384,   3962,  16,  16,   0, 109994888, 115333968, 115378352, 115533176, 115317104
  8730,  16,  16384,   7357,  16,  17,   1, 115557280, 114181872, 114261320, 115488824, 116062760
  8731,  16,  16384,  36223,  17,  22,   3, 116103296, 114461304, 115776672, 115892144, 112675728
  8732,  16,  16384,   9353,  22,  23,   1, 111379368, 105400416, 111324448, 112493592, 113559768
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  9049,  16,  16384,  33717,   4,   2,   2, 107811608, 113638048, 113526040, 111030200, 109761216
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  9055,  16,  16384,  30163,   6,   7,   1, 110168632, 109923336, 110233968, 109850272, 109397600
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  9063,  16,  16384,  17451,   1,   1,   0, 114031040, 114055968, 114120736, 112693624, 107968816
  9064,  16,  16384,  26922,   1,  21,   3, 112969792, 113805048, 113101424, 112242544, 116058544
  9065,  16,  16384,  16209,  21,  20,   1, 115894304, 115869632, 115905808, 115762000, 114102424
  9066,  16,  16384,   6988,  20,  18,   2, 114421480, 114149056, 115391480, 115435464, 112531128
  9067,  16,  16384,  22619,  18,  19,   1, 111327592, 111221424, 112638472, 112352760, 113558000
  9068,  16,  16384,  49981,  19,  14,   3, 113382112, 111777736, 113293048, 113257824, 110980040
  9069,  16,  16384,  11896,  14,  19,   3, 110885408, 110794192, 109737904, 111036976, 111297920
  9070,  16,  16384,  38565,  19,   8,   3, 112764296, 113515808, 111818768, 113376304, 113573728
  9071,  16,  16384,  46193,   8,   7,   2, 113654608, 113598440, 113651056, 112499640, 111740640
  9072,  16,  16384,  44684,   7,   9,   2, 109313280, 110296768, 111493160, 105085144, 114296944
  9073,  16,  16384,  48916,   9,  22,   3, 113299192, 113085184, 114375152, 114029648, 112694592
  9074,  16,  16384,  29435,  22,  18,   2, 112737736, 111161360, 112357936, 111069904, 112577712
  9075,  16,  16384,  19949,  18,  19,   1, 112610280, 110947320, 112596824, 112295216, 107673336
  9076,  16,  16384,  34940,  19,  19,   0, 113215880, 112014000, 110599832, 113199856, 112228312
  9077,  16,  16384,  11008,  19,  20,   2, 113292312, 113224424, 113210600, 113046144, 115433152
  9078,  16,  16384,   2517,  20,  21,   1, 114401168, 115388056, 109380616, 115305464, 114994104
  9079,  16,  16384,   9666,  21,  16,   3, 116277088, 115850728, 115789776, 113317600, 115655688
  9080,  16,  16384,  44607,  16,  22,   3, 115485816, 115208040, 114329416, 115623576, 111213136
  9081,  16,  16384,  28461,  22,  13,   3, 112679328, 111167960, 112538600, 112690752, 113320456
  9082,  16,  16384,   8640,  13,  15,   2, 114168952, 113657520, 113298712, 112867848, 111621392
  9083,  16,  16384,  32952,  15,  13,   2, 108299840, 105611584, 111609072, 110273520, 114157320
  9084,  16,  16384,  29026,  13,  13,   0, 113034608, 112933744, 113930336, 113992936, 113510816
  9085,  16,  16384,  33199,  13,  12,   1, 113133944, 113936576, 114387664, 114180312, 112676880
  9086,  16,  16384,  29418,  12,  15,   2, 113922792, 112651432, 112453376, 113019544, 111842208
  9087,  16,  16384,  37293,  15,  15,   0, 111859856, 111528616, 110420432, 109552192, 111306960
  9088,  16,  16384,  40597,  15,  14,   1, 110581176, 111597024, 111388528, 111362576, 110573776
  9089,  16,  16384,  28110,  14,  10,   3, 111213368, 110599792, 108579464, 110768744, 111206800
  9090,  16,  16384,  42774,  10,   9,   2, 110927328, 110763488, 109706048, 104802880, 113120968
  9091,  16,  16384,  40636,   9,  15,   3, 112815376, 109464928, 114067920, 112996096, 111584904
  9092,  16,  16384,   1680,  15,  15,   0, 108929480, 104705712, 111452184, 111429824, 111700472
  9093,  16,  16384,   9557,  15,  14,   1, 111509640, 111302920, 111668688, 111466080, 111151712
  9094,  16,  16384,   3685,  14,  13,   2, 109017648, 110882032, 111140816, 110768656, 114405896
  9095,  16,  16384,  48242,  13,   2,   3, 114287624, 113902872, 112791272, 112851792, 110782528
  9096,  16,  16384,  12563,   2,   2,   0, 109871184, 110638224, 109580352, 110565144, 110652864
  9097,  16,  16384,  38684,   2,   4,   2, 110824488, 110572192, 111003584, 109527160, 112656624
  9098,  16,  16384,   1649,   4,   4,   0, 112756520, 113853536, 112517856, 113887544, 113963240
  9099,  16,  16384,  40786,   4,   5,   1, 114130416, 113626640, 113835088, 107768408, 113947704
  9100,  16,  16384,  31322,   5,   2,   2, 107943472, 113736088, 113865560, 113069416, 111085936
  9101,  16,  16384,  26351,   2,  22,   3, 109499688, 110641256, 110870688, 110945840, 112488824
  9102,  16,  16384,  48731,  22,  23,   1, 112945928, 112816440, 111341920, 111097128, 112228080
  9103,  16,  16384,  30666,  23,  22,   1, 112308784, 113403448, 111986080, 111436264, 112405944
  9104,  16,  16384,  22086,  22,  20,   2, 112785336, 112501392, 112453864, 111423720, 114178864
  9105,  16,  16384,   1930,  20,  21,   1, 114109888, 115673208, 115518944, 115347248, 114925496
  9106,  16,  16384,  27011,  21,  20,   1, 109969968, 115882144, 115757864, 115917240, 115613944
  9107,  16,  16384,   7676,  20,  12,   3, 115614904, 108153888, 114342048, 115580200, 113931304