path: root/ecrts14/overheads/ludwig/cpmd/pmo_host=ludwig_ncpu=24_wss=16384_wcycle=16_smin=0_smax=50000_polluters=True_hpages=False_upages=False_walk=seq.csv

     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
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    19,  16,  16384,  23096,  13,  13,   0, 114247560, 114324160, 114047616, 113056288, 109560600
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    24,  16,  16384,  40931,  17,  16,   1, 115916088, 115714984, 113436496, 111183600, 115783232
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    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
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    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
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    38,  16,  16384,  28235,   1,   1,   0, 113091072, 112961480, 114357320, 114178904, 114295752
    39,  16,  16384,  48479,   1,   1,   0, 113412544, 106243520, 113808536, 113744320, 112889600
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    55,  16,  16384,   3701,  15,  11,   3, 111297312, 111629928, 111381752, 111404488, 111549456
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    57,  16,  16384,   5001,  10,  11,   1, 111202192, 110490992, 106532072, 106621512, 111505800
    58,  16,  16384,  10530,  11,  10,   1, 111536520, 111177728, 111481616, 111309680, 110945336
    59,  16,  16384,  18524,  10,   9,   2, 110958032, 110618280, 110634280, 110771320, 113298728
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    63,  16,  16384,   6561,  22,  22,   0, 112273560, 111033928, 112380984, 111338376, 112623856
    64,  16,  16384,  41417,  22,  23,   1, 112398544, 112404512, 112206544, 111346496, 113284752
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    69,  16,  16384,  49625,  14,  15,   1, 110907632, 109757488, 111010552, 110845352, 111383560
    70,  16,  16384,  11150,  15,  15,   0, 111598760, 111543672, 111516880, 111677064, 111509592
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    74,  16,  16384,  48582,  15,  17,   2, 111499240, 111330016, 111273992, 111640728, 115765584
    75,  16,  16384,  16911,  17,  17,   0, 115925712, 114589280, 114408632, 115791104, 114623752
    76,  16,  16384,  37707,  17,  13,   2, 114813384, 115924656, 110113816, 115761848, 114097136
    77,  16,  16384,  25098,  13,   6,   3, 114100152, 113980584, 113742848, 113081728, 109998792
    78,  16,  16384,  33267,   6,   7,   1, 104528584, 109865160, 109889248, 108808336, 111182056
    79,  16,  16384,   2698,   7,  21,   3, 111588312, 111375544, 111011272, 110198400, 114898216
    80,  16,  16384,  14914,  21,  16,   3, 116383848, 116032704, 116057272, 108545192, 115612752
    81,  16,  16384,  26753,  16,  16,   0, 115762928, 115396296, 115358936, 115207320, 113687656
    82,  16,  16384,   3498,  16,  10,   3, 114685792, 109480160, 115051272, 113787392, 110796848
    83,  16,  16384,  19116,  10,   4,   3, 111006136, 109646904, 109561512, 110918784, 113748704
    84,  16,  16384,  36027,   4,   4,   0, 112591120, 112353928, 107695528, 113644272, 113946232
    85,  16,  16384,  46470,   4,   5,   1, 114079384, 113505784, 113481160, 113861808, 114008016
    86,  16,  16384,   9653,   5,   1,   2, 114417632, 114057880, 113849112, 113940536, 114240712
    87,  16,  16384,  43122,   1,   1,   0, 114025344, 114200888, 112761952, 113936120, 114252144
    88,  16,  16384,   3340,   1,  12,   3, 114211304, 114159952, 113997872, 113982240, 112583504
    89,  16,  16384,  15736,  12,  12,   0, 112739128, 106985176, 113084232, 113550136, 113375648
    90,  16,  16384,  33833,  12,  12,   0, 113792576, 113601104, 113553640, 113861528, 113777280
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    92,  16,  16384,   8561,  16,  17,   1, 115473128, 115276432, 115529768, 115202024, 116051352
    93,  16,  16384,   1020,  17,  16,   1, 116192128, 115838728, 115805560, 115934536, 111707072
    94,  16,  16384,  38610,  16,  14,   2, 116081232, 114359176, 109305256, 115380672, 111019864
    95,  16,  16384,  35675,  14,  15,   1, 111118544, 109657392, 104792776, 110765976, 111687328
    96,  16,  16384,  38118,  15,   6,   3, 111231416, 110283504, 111524152, 110318240, 108786624
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    99,  16,  16384,  34343,   9,  11,   2, 114483504, 113151816, 108069080, 113875784, 111593792
   100,  16,  16384,   1070,  11,  11,   0, 111379968, 111455576, 111325856, 111395184, 104489272
   101,  16,  16384,   8128,  11,  21,   3, 111257464, 111454472, 111471976, 108954360, 114884016
   102,  16,  16384,  31545,  21,   1,   3, 116386720, 115116464, 115651448, 116211328, 114077152
   103,  16,  16384,  21188,   1,   0,   1, 112892448, 113900888, 113753640, 113911512, 112276576
   104,  16,  16384,  24828,   0,   1,   1, 113590472, 113847816, 113712520, 113488736, 114133352
   105,  16,  16384,  48284,   1,  23,   3, 114269224, 114042376, 112816784, 114151456, 113359912
   106,  16,  16384,  23394,  23,  20,   2, 107457112, 113369712, 110709336, 113204840, 115327008
   107,  16,  16384,  49704,  20,  20,   0, 109653208, 115239632, 115185816, 113379752, 114379928
   108,  16,  16384,  19561,  20,  21,   1, 115679448, 115477928, 113698744, 115465520, 116222632
   109,  16,  16384,   3400,  21,  20,   1, 114716960, 114682264, 115799128, 115880104, 114337984
   110,  16,  16384,   5948,  20,  20,   0, 114300768, 114052008, 115297144, 115577432, 115074896
   111,  16,  16384,  26100,  20,  21,   1, 115177632, 115445208, 115278672, 115163400, 116250848
   112,  16,  16384,  24459,  21,  21,   0, 116080400, 115796208, 113698968, 112108984, 116099240
   113,  16,  16384,  22245,  21,  20,   1, 114306568, 114420560, 116152688, 115957840, 115558408
   114,  16,  16384,  20105,  20,  21,   1, 115304944, 115339312, 113994992, 109565552, 115704712
   115,  16,  16384,  48734,  21,   7,   3, 110224496, 115842752, 114659712, 114653744, 111323536
   116,  16,  16384,  12459,   7,   6,   1, 111139416, 110248848, 111504648, 111468552, 109861072
   117,  16,  16384,  43080,   6,   3,   3, 109213504, 108344064, 109865800, 108853040, 111353608
   118,  16,  16384,   5673,   3,  12,   3, 110546792, 111428512, 111599968, 110547016, 113972376
   119,  16,  16384,  20210,  12,   8,   3, 113884120, 111390296, 107922056, 113679536, 106253136
   120,  16,  16384,  36947,   8,   7,   2, 113328296, 113045136, 113572032, 113520368, 110299000
   121,  16,  16384,   1357,   7,   6,   1, 111291368, 111326272, 111343064, 111213800, 109042128
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   123,  16,  16384,  31586,   2,   2,   0, 110827224, 105762968, 109608192, 110545896, 110582440
   124,  16,  16384,  30563,   2,   6,   3, 110880208, 109651560, 108485016, 110564808, 110242328
   125,  16,  16384,  22629,   6,   7,   1, 110127784, 110257168, 110067912, 104412608, 111604880
   126,  16,  16384,  23629,   7,  11,   2, 111387568, 111541816, 111509600, 109994744, 111545104
   127,  16,  16384,  37303,  11,  11,   0, 111506136, 111319592, 110629784, 109766592, 111628544
   128,  16,  16384,  36269,  11,  10,   1, 111552064, 111560912, 111490288, 111206984, 109892880
   129,  16,  16384,  39748,  10,  11,   1, 111011720, 104748728, 110736912, 110775432, 109904288
   130,  16,  16384,   2224,  11,  11,   0, 104996816, 110982000, 111146920, 111400344, 111614016
   131,  16,  16384,  31629,  11,   7,   2, 111476640, 111274728, 111320088, 109869784, 111284464
   132,  16,  16384,  33475,   7,   7,   0, 108379144, 107996752, 108853144, 110367400, 111349160
   133,  16,  16384,  38262,   7,   8,   2, 111564664, 111309408, 111494184, 111361872, 113443416
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   135,  16,  16384,   3683,  10,  12,   3, 110991224, 110684176, 110842040, 109142976, 113755344
   136,  16,  16384,   3446,  12,   7,   3, 112898104, 112614928, 113794872, 113430584, 105316104
   137,  16,  16384,  48491,   7,   0,   3, 110077296, 109774216, 110363480, 111568880, 112811416
   138,  16,  16384,  26021,   0,   0,   0, 113304624, 113629888, 113582088, 112385904, 113759904
   139,  16,  16384,   6839,   0,   0,   0, 113942344, 112422784, 113475112, 112533800, 113666072
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   141,  16,  16384,   7319,   8,   8,   0, 113929656, 111192392, 113482424, 113377512, 111847168
   142,  16,  16384,  25451,   8,  23,   3, 113461120, 113802064, 113948056, 113780384, 113439376
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   144,  16,  16384,  24791,  23,  22,   1, 111361976, 113422024, 113075528, 113425528, 111385080
   145,  16,  16384,  41902,  22,  23,   1, 112125680, 112458328, 112442136, 112368360, 113646224
   146,  16,  16384,  22993,  23,  22,   1, 111770720, 110499768, 113070856, 113455808, 112597032
   147,  16,  16384,  22699,  22,  20,   2, 104900552, 112249944, 112190480, 112204232, 115328544
   148,  16,  16384,   4301,  20,  18,   2, 114318968, 113897776, 115206232, 114413736, 109531488
   149,  16,  16384,  42099,  18,  20,   2, 108580296, 112127480, 111022040, 112148408, 115105584
   150,  16,  16384,   4301,  20,  17,   3, 110616360, 115130336, 113842400, 113885872, 116351456
   151,  16,  16384,   8603,  17,  15,   2, 115058152, 115862768, 116038536, 115801680, 111594984
   152,  16,  16384,   8944,  15,  14,   1, 111567840, 111502080, 111541656, 110571056, 109401080
   153,  16,  16384,  26894,  14,  16,   2, 104522856, 110749304, 110913312, 110638536, 115688728
   154,  16,  16384,  18769,  16,  17,   1, 115506848, 115334760, 114400080, 115367528, 115892288
   155,  16,  16384,  40129,  17,  16,   1, 115875648, 115660728, 115747448, 115635616, 115302072
   156,  16,  16384,   2153,  16,  13,   2, 115609776, 115338408, 115322336, 113898136, 108296280
   157,  16,  16384,  24226,  13,  10,   3, 113094528, 114234064, 114003424, 114134576, 110892120
   158,  16,  16384,  22586,  10,   7,   2, 109988320, 109997200, 110934744, 110837736, 111565760
   159,  16,  16384,  37161,   7,  10,   2, 111699856, 105337576, 111325200, 110890088, 109996208
   160,  16,  16384,  42836,  10,  10,   0, 111109872, 110796144, 109737216, 109797248, 111021152
   161,  16,  16384,  40522,  10,  11,   1, 110911432, 110834552, 110932440, 110448744, 110432248
   162,  16,  16384,  46670,  11,   1,   3, 111563512, 111288832, 111490440, 110175528, 113968160
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   164,  16,  16384,  44252,   0,   3,   2, 111121528, 113711256, 112506776, 113683760, 109592680
   165,  16,  16384,  12951,   3,   2,   1, 110872384, 111399120, 111164360, 111084448, 110801224
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   167,  16,  16384,  15811,   3,   2,   1, 103950784, 108799416, 111343400, 111228744, 111057696
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   491,  16,  16384,  20624,  12,  13,   1, 113515768, 106872528, 113471832, 112627992, 114106832
   492,  16,  16384,  43121,  13,  12,   1, 114331056, 114312048, 111643192, 113957768, 113648592
   493,  16,  16384,  47792,  12,   4,   3, 113833720, 112218008, 112482256, 109203048, 112604720
   494,  16,  16384,  38703,   4,   2,   2, 113877312, 113884144, 107703120, 113895704, 111151584
   495,  16,  16384,  12013,   2,   2,   0, 110927456, 109337632, 110784984, 109454800, 109849584
   496,  16,  16384,  35121,   2,  17,   3, 111060576, 110762584, 110746648, 109208320, 110257024
   497,  16,  16384,  32912,  17,  22,   3, 116421992, 115930488, 114278120, 114698912, 111162880
   498,  16,  16384,  21613,  22,  23,   1, 111422048, 111020448, 112313456, 112360496, 111909552
   499,  16,  16384,  37065,  23,  21,   2, 113699560, 113414600, 113139248, 113369560, 114609712
   500,  16,  16384,    956,  21,  21,   0, 116123736, 115891240, 116108832, 115935528, 115952736
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   503,  16,  16384,  12849,  11,   9,   2, 106725088, 111242504, 109093704, 111388256, 114081000
   504,  16,  16384,   4563,   9,   7,   2, 114258128, 112929400, 108123120, 112697312, 111482296
   505,  16,  16384,  10786,   7,   6,   1, 111840976, 109795552, 110171056, 110181096, 110075320
   506,  16,  16384,   5433,   6,  19,   3, 110450752, 109949128, 110140104, 110045128, 113524032
   507,  16,  16384,  11432,  19,  19,   0, 113585784, 113119064, 113072136, 112091432, 107391952
   508,  16,  16384,  14123,  19,  10,   3, 112074184, 112065032, 111943496, 112880784, 110993880
   509,  16,  16384,  18687,  10,  11,   1, 110985920, 109545536, 109681936, 110617200, 111525176
   510,  16,  16384,    763,  11,  11,   0, 110579400, 110974672, 103683520, 111730280, 110591816
   511,  16,  16384,  16051,  11,  11,   0, 111614088, 111197128, 111394064, 111427768, 111503040
   512,  16,  16384,  45563,  11,  11,   0, 111718272, 111521312, 111512856, 110211176, 109218016
   513,  16,  16384,  49972,  11,  16,   3, 105657960, 110329216, 111370440, 111497288, 115283448
   514,  16,  16384,  48182,  16,  15,   2, 115789696, 114066928, 115423152, 115545368, 111662360
   515,  16,  16384,   1752,  15,  14,   1, 109289320, 110415144, 111668096, 111409640, 109840656
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   517,  16,  16384,  44459,  14,  15,   1, 107974032, 109913416, 110663136, 110812288, 111663296
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   519,  16,  16384,  41262,  17,  17,   0, 115860248, 114507512, 115065384, 115596960, 116044888
   520,  16,  16384,   3887,  17,  16,   1, 110204616, 115968016, 113219464, 115459912, 114072008
   521,  16,  16384,  40729,  16,  20,   3, 115792160, 115334216, 115530296, 115448304, 114355056
   522,  16,  16384,  43748,  20,   2,   3, 115672264, 115625320, 115407472, 115350064, 110913168
   523,  16,  16384,  39339,   2,  20,   3, 110904488, 110575584, 109485552, 110629544, 112776784
   524,  16,  16384,  26760,  20,  22,   2, 114506776, 115681096, 115349632, 115269992, 112452760
   525,  16,  16384,  15104,  22,  23,   1, 112640816, 112301392, 112349640, 111361984, 113294448
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   528,  16,  16384,  40387,   2,  10,   3, 111176240, 109413576, 109806536, 111275728, 110778320
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   537,  16,  16384,  41895,  12,  12,   0, 112887208, 113736384, 113716736, 113381960, 112862984
   538,  16,  16384,  47632,  12,  13,   1, 113886168, 113663056, 113790832, 113686904, 114317968
   539,  16,  16384,  49713,  13,  13,   0, 114415944, 114091768, 112681072, 108056496, 113844592
   540,  16,  16384,  49750,  13,  13,   0, 114263488, 114077624, 112706448, 114308536, 114011560
   541,  16,  16384,  40637,  13,  16,   2, 114163280, 113978448, 114075584, 112805432, 115515624
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   543,  16,  16384,  20955,  15,  15,   0, 111681256, 111071984, 110511112, 111669248, 111509992
   544,  16,  16384,  47703,  15,   8,   3, 111732856, 111677488, 111330040, 111762664, 113831768
   545,  16,  16384,  37931,   8,  23,   3, 113871032, 112433464, 113746624, 113642864, 113321168
   546,  16,  16384,  19557,  23,  22,   1, 113429160, 111813600, 113022592, 112859480, 111299272
   547,  16,  16384,   2022,  22,  18,   2, 111416616, 112517184, 112526472, 111014576, 112455400
   548,  16,  16384,  27569,  18,   8,   3, 112537496, 112646568, 112355472, 112258600, 112459232
   549,  16,  16384,  32148,   8,  16,   3, 113681120, 112220216, 112555944, 113685328, 114265856
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   552,  16,  16384,   3972,   8,   9,   1, 113727888, 112421672, 113580056, 112810488, 113368624
   553,  16,  16384,  29156,   9,   8,   1, 114027560, 114063968, 114120160, 113676752, 113716336
   554,  16,  16384,  31621,   8,   8,   0, 112557816, 113516464, 113595208, 112485128, 113856896
   555,  16,  16384,  26306,   8,   7,   2, 112745408, 113461832, 113917848, 113603568, 105626672
   556,  16,  16384,   9015,   7,   8,   2, 111415736, 110027368, 110092784, 111209392, 113482768
   557,  16,  16384,   5833,   8,   9,   1, 112377128, 113287536, 113735984, 112388968, 114070168
   558,  16,  16384,   8562,   9,   8,   1, 114250200, 113059008, 114302128, 114069760, 113798048
   559,  16,  16384,  19332,   8,   7,   2, 112461848, 113478520, 112465568, 113904976, 110339272
   560,  16,  16384,  38528,   7,   6,   1, 111513280, 111399232, 111237216, 110196024, 108479432
   561,  16,  16384,  41024,   6,   7,   1, 109143504, 110184488, 104257008, 110230040, 111500376
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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
  2089,  16,  16384,  26811,   5,   2,   2, 114049144, 113641864, 113859008, 112713568, 110626152
  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
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  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
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  2193,  16,  16384,  36656,  12,  16,   2, 113842976, 112693112, 113700688, 113491808, 115878880
  2194,  16,  16384,  36430,  16,  13,   2, 115636920, 115581272, 115657648, 113668896, 114114368
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  2196,  16,  16384,  41729,   8,   9,   1, 113748400, 113699472, 113832616, 113467776, 114081496
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  2199,  16,  16384,  10255,  22,   7,   3, 105835704, 112201184, 112189536, 112455248, 111253824
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  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
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  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
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  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
  2240,  16,  16384,  19335,  14,   1,   3, 110710752, 110758136, 109520608, 104841192, 114167440
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  2242,  16,  16384,  28124,   0,   1,   1, 112882704, 113575184, 112248664, 112435048, 113909712
  2243,  16,  16384,  45740,   1,   3,   2, 107599064, 114065064, 113874416, 112720568, 111288512
  2244,  16,  16384,  35606,   3,  19,   3, 111432304, 111340448, 111237256, 111047528, 110374904
  2245,  16,  16384,   3912,  19,  18,   1, 107744336, 111949608, 113289392, 113053224, 110331656
  2246,  16,  16384,  14005,  18,  19,   1, 112810728, 112509888, 112753720, 112218824, 113787848
  2247,  16,  16384,  32653,  19,  18,   1, 113203800, 110514088, 112935576, 107563872, 112539808
  2248,  16,  16384,  11984,  18,  19,   1, 109179536, 112451872, 112562600, 112375872, 113179072
  2249,  16,  16384,   8046,  19,  19,   0, 113160056, 112990272, 113196560, 110481568, 113454288
  2250,  16,  16384,  23178,  19,  18,   1, 111900880, 107465144, 112965728, 111678192, 112690712
  2251,  16,  16384,  11329,  18,  16,   3, 112753648, 112570528, 112465984, 112056704, 109928928
  2252,  16,  16384,  34577,  16,  17,   1, 115338432, 115424968, 114196080, 115391552, 116145304
  2253,  16,  16384,  25691,  17,  15,   2, 116056600, 115996640, 115725320, 115567664, 111569264
  2254,  16,  16384,  39034,  15,  14,   1, 110523088, 111523184, 111629144, 109662416, 108549264
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  2257,  16,  16384,  34013,  20,  20,   0, 115736960, 115324888, 115600816, 115441888, 114454368
  2258,  16,  16384,  24339,  20,  20,   0, 114199216, 115499448, 108216784, 115306408, 115354256
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  2260,  16,  16384,  24961,  21,  21,   0, 115932864, 115795960, 115537576, 115217584, 115169048
  2261,  16,  16384,     46,  21,  20,   1, 114287360, 115790608, 115773288, 114609024, 115663824
  2262,  16,  16384,  38953,  20,   0,   3, 116012648, 115513192, 115605496, 114428336, 113709208
  2263,  16,  16384,  13290,   0,  16,   3, 112585544, 113729536, 112537392, 113663192, 114337952
  2264,  16,  16384,  20448,  16,   4,   3, 114227416, 115631672, 115628704, 115361144, 114027864
  2265,  16,  16384,  30847,   4,  12,   3, 111384976, 113772200, 112648096, 113827896, 113663088
  2266,  16,  16384,  27623,  12,  13,   1, 113768888, 112657592, 113675912, 113725168, 112992944
  2267,  16,  16384,  28530,  13,  23,   3, 114323992, 113908632, 114233480, 112778208, 111891992
  2268,  16,  16384,  45510,  23,  22,   1, 111831064, 112010840, 113158224, 113061184, 112616288
  2269,  16,  16384,   3685,  22,  23,   1, 112865784, 112568520, 111090192, 112647112, 113455416
  2270,  16,  16384,  38681,  23,  22,   1, 113210152, 110697576, 112475744, 112705200, 112760360
  2271,  16,  16384,  37636,  22,  22,   0, 111322048, 112647648, 112431776, 111146368, 112588216
  2272,  16,  16384,  29437,  22,  23,   1, 113055728, 112468840, 112199760, 104599992, 113321432
  2273,  16,  16384,  25149,  23,  23,   0, 113984360, 113443336, 113199592, 113185768, 112167192
  2274,  16,  16384,  43307,  23,  20,   2, 113261056, 112890816, 107622864, 111781824, 115468920
  2275,  16,  16384,   2294,  20,  21,   1, 114512072, 115550664, 115330960, 115354040, 115972752
  2276,  16,  16384,  25361,  21,  19,   2, 108996760, 115783688, 115718864, 114801560, 110866912
  2277,  16,  16384,  37323,  19,  20,   2, 113225624, 106260464, 113109216, 113037512, 115355224
  2278,  16,  16384,   7994,  20,   4,   3, 115524288, 115097448, 109879536, 114258832, 114018664
  2279,  16,  16384,  49777,   4,   4,   0, 113192104, 113672376, 112768184, 113932624, 110511088
  2280,  16,  16384,  32686,   4,   4,   0, 114102520, 113617464, 113715224, 113013792, 112810192
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  2284,  16,  16384,  22748,  18,  19,   1, 111578232, 112658120, 112059064, 112247240, 112284512
  2285,  16,  16384,  49563,  19,   6,   3, 113332000, 113152176, 113105408, 111777344, 110228856
  2286,  16,  16384,  44526,   6,   7,   1, 110236952, 103144952, 109754728, 110066808, 111510168
  2287,  16,  16384,  47421,   7,   7,   0, 111269808, 111283672, 110009480, 111421704, 102812912
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  2289,  16,  16384,  20486,   1,  13,   3, 114197904, 114155408, 113041632, 113815464, 112013400
  2290,  16,  16384,  48183,  13,  12,   1, 108009368, 113875152, 113882936, 113906544, 114054800
  2291,  16,  16384,   8910,  12,  15,   2, 111137392, 108686088, 113633792, 113691544, 111689216
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  2293,  16,  16384,   4101,  14,  15,   1, 111211072, 109669280, 110560736, 103733128, 111839128
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  2299,  16,  16384,  37013,  21,  23,   2, 114422856, 114528168, 108868720, 115720488, 113209960
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  2313,  16,  16384,  34452,  23,  23,   0, 112538776, 113206744, 111975712, 113252568, 113507696
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  2315,  16,  16384,  10353,  22,  23,   1, 112532672, 112271552, 112415968, 110047552, 113213680
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  2317,  16,  16384,  12922,  23,  23,   0, 112099552, 113236960, 113239336, 111895640, 111826056
  2318,  16,  16384,  12851,  23,  22,   1, 113537352, 111954184, 113142672, 112923624, 112702600
  2319,  16,  16384,  28873,  22,  22,   0, 112751632, 112568312, 112418944, 112235600, 112497000
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  2324,  16,  16384,  26035,   3,   0,   2, 111123104, 111323016, 111195664, 110471848, 112497312
  2325,  16,  16384,  18841,   0,   8,   3, 112822328, 113304688, 113511744, 113620024, 112643760
  2326,  16,  16384,  21587,   8,   7,   2, 112909016, 114116072, 113724248, 112407760, 111187984
  2327,  16,  16384,   7291,   7,   6,   1, 111488624, 108973992, 107149480, 109709320, 110050144
  2328,  16,  16384,  15727,   6,   7,   1, 108844016, 110092344, 108935352, 109713096, 111497776
  2329,  16,  16384,  29066,   7,   7,   0, 111374336, 110251624, 111677976, 109804184, 111383872
  2330,  16,  16384,  46841,   7,   7,   0, 105447440, 111255088, 111244680, 111397416, 111534464
  2331,  16,  16384,  20832,   7,   7,   0, 110265680, 111313896, 111191696, 110428088, 111439616
  2332,  16,  16384,   1659,   7,   6,   1, 109279776, 111490464, 110769504, 105518280, 109988448
  2333,  16,  16384,  40596,   6,   7,   1, 108881216, 109975392, 110252808, 109964864, 110043840
  2334,  16,  16384,  48514,   7,  12,   3, 111549368, 111665432, 110268480, 110018664, 107839840
  2335,  16,  16384,  45354,  12,  22,   3, 112739280, 113423072, 112587416, 113474616, 112347064
  2336,  16,  16384,  48739,  22,  22,   0, 111524112, 112745896, 109826264, 112352128, 112682056
  2337,  16,  16384,  14397,  22,   5,   3, 112615192, 112422288, 112402736, 108378304, 112993960
  2338,  16,  16384,  29405,   5,   6,   3, 114082664, 112695896, 112480584, 113772728, 109577936
  2339,  16,  16384,   5108,   6,  23,   3, 110142872, 110196648, 110068568, 109860920, 113567496
  2340,  16,  16384,  46240,  23,  22,   1, 113751880, 111985416, 113038680, 111982032, 111436936
  2341,  16,  16384,  48339,  22,  22,   0, 111293992, 112457000, 112483544, 112224608, 112630688
  2342,  16,  16384,  17445,  22,  19,   2, 112732632, 112517192, 106821880, 112381296, 113346096
  2343,  16,  16384,  28230,  19,  19,   0, 112137288, 113167952, 107556720, 112141336, 113109744
  2344,  16,  16384,  30052,  19,  19,   0, 113121088, 113292928, 113352232, 112359552, 113616160
  2345,  16,  16384,   3299,  19,   7,   3, 111928064, 113347312, 112325288, 113512176, 110677672
  2346,  16,  16384,  29111,   7,   6,   1, 104993304, 111230816, 110015200, 111332744, 109899072
  2347,  16,  16384,   4241,   6,  23,   3, 108927688, 110085776, 107856536, 108760848, 111868224
  2348,  16,  16384,  47523,  23,  23,   0, 112411712, 113121200, 111823936, 113094672, 107961192
  2349,  16,  16384,   1825,  23,  20,   2, 113336272, 112939160, 113198592, 113124336, 115725696
  2350,  16,  16384,   2706,  20,  21,   1, 113969128, 111322448, 115415104, 113985648, 116094184
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  2499,  16,  16384,  42024,   1,   4,   2, 114036896, 113997656, 112730800, 113799912, 113891768
  2500,  16,  16384,   3254,   4,   5,   1, 113727016, 112505408, 113147112, 112741360, 114332056
  2501,  16,  16384,  28146,   5,   4,   1, 113014168, 113845320, 107592920, 113759640, 113374672
  2502,  16,  16384,  43666,   4,   4,   0, 114174464, 107822864, 113890360, 113120504, 112631880
  2503,  16,  16384,  28018,   4,   0,   2, 113778800, 112497288, 112904320, 113887544, 113785616
  2504,  16,  16384,  14951,   0,   0,   0, 113807824, 113844568, 107495168, 113334504, 113698600
  2505,  16,  16384,  40195,   0,   2,   2, 112458232, 113597760, 112472656, 112313336, 109639064
  2506,  16,  16384,  15058,   2,   3,   1, 110753744, 109524624, 109469160, 110777616, 111498232
  2507,  16,  16384,  35007,   3,   0,   2, 111199456, 111647248, 111303312, 109932384, 112705136
  2508,  16,  16384,  10327,   0,   0,   0, 112672400, 113409200, 113645456, 113577464, 113524664
  2509,  16,  16384,  30153,   0,   0,   0, 113711536, 113513720, 107495240, 113455216, 112508328
  2510,  16,  16384,  47452,   0,   3,   2, 113982336, 111122568, 113557032, 112705680, 111660256
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  2513,  16,  16384,   5153,   5,   5,   0, 113000824, 113941280, 114003976, 113770624, 114255456
  2514,  16,  16384,  45761,   5,   4,   1, 113273104, 113866584, 113888360, 113806240, 112744456
  2515,  16,  16384,   3387,   4,   4,   0, 113819000, 113960968, 113928712, 113717808, 113735224
  2516,  16,  16384,  14837,   4,   0,   2, 107788936, 113888656, 113823392, 113699904, 113699984
  2517,  16,  16384,  26608,   0,   1,   1, 112171416, 112503384, 111781384, 113684712, 114055688
  2518,  16,  16384,   9322,   1,   4,   2, 114427496, 113787904, 108269304, 114282336, 114261832
  2519,  16,  16384,  21554,   4,   5,   1, 113840112, 113543056, 112012472, 106917280, 112778672
  2520,  16,  16384,  22932,   5,   4,   1, 113234688, 113795584, 107960960, 113635328, 113847312
  2521,  16,  16384,  22702,   4,   3,   2, 113893504, 113859952, 113836560, 113889648, 111452376
  2522,  16,  16384,  18951,   3,   2,   1, 105169480, 111108664, 110132088, 111129656, 110582032
  2523,  16,  16384,  47196,   2,   3,   1, 104891808, 110667944, 111056240, 110443768, 110373608
  2524,  16,  16384,  35600,   3,   2,   1, 111483264, 111210480, 105230672, 111370920, 110966368
  2525,  16,  16384,  37549,   2,  16,   3, 110834208, 110626920, 104791592, 110589824, 115562312
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  2527,  16,  16384,  30146,  17,   1,   3, 115156144, 115940616, 116128072, 116012864, 114236760
  2528,  16,  16384,  10550,   1,  19,   3, 114381848, 112717296, 107526536, 114046968, 112103944
  2529,  16,  16384,   1310,  19,  18,   1, 113759008, 112980800, 113132080, 113211920, 111450528
  2530,  16,  16384,  33383,  18,  19,   1, 112588704, 112399528, 112143480, 112303624, 112330528
  2531,  16,  16384,  47279,  19,  18,   1, 112485952, 112703728, 113122824, 113159272, 112810072
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  2535,  16,  16384,  17035,   2,   2,   0, 109820552, 109320424, 110051464, 109235960, 110928600
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  2537,  16,  16384,    719,   4,   5,   1, 112321704, 113769704, 113821928, 113509864, 114030880
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  2545,  16,  16384,  36978,  19,  23,   2, 112348744, 113209312, 113335296, 107633352, 107683752
  2546,  16,  16384,  45621,  23,  22,   1, 113539272, 111928472, 113029728, 111924672, 112315432
  2547,  16,  16384,  38174,  22,  23,   1, 112752296, 112199472, 112138440, 112460560, 113299144
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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
  2573,  16,  16384,  39010,  23,  20,   2, 112259304, 113351336, 113165944, 113370024, 115614368
  2574,  16,  16384,  38737,  20,   1,   3, 115746312, 109697096, 115261752, 115297600, 114120400
  2575,  16,  16384,   4241,   1,   0,   1, 113468264, 112752152, 113864752, 114075992, 112405616
  2576,  16,  16384,  42168,   0,  18,   3, 113856280, 112866328, 113099064, 112444416, 111264672
  2577,  16,  16384,  48217,  18,  18,   0, 112970688, 111254264, 112329960, 112410744, 112570112
  2578,  16,  16384,  27851,  18,  22,   2, 106660176, 110895536, 111270072, 112557896, 112472864
  2579,  16,  16384,  42160,  22,  20,   2, 112617784, 111097784, 111427712, 111866672, 115516080
  2580,  16,  16384,  25446,  20,  20,   0, 115734896, 112674392, 115525888, 115375056, 115370696
  2581,  16,  16384,  31583,  20,  18,   2, 115452552, 109431872, 115525848, 115296072, 112736560
  2582,  16,  16384,  42175,  18,   6,   3, 112710416, 112671224, 112583544, 112411352, 110378248
  2583,  16,  16384,  23256,   6,   7,   1, 110041688, 110012728, 109507936, 107469408, 111672816
  2584,  16,  16384,  38673,   7,   8,   2, 111541176, 111203064, 111557888, 109775304, 113899472
  2585,  16,  16384,  38049,   8,  15,   3, 114031688, 113726088, 113619960, 113683560, 111706704
  2586,  16,  16384,  11304,  15,  15,   0, 110452024, 111419792, 110698152, 111170720, 110281448
  2587,  16,  16384,  31533,  15,  12,   2, 111585888, 105606576, 111333816, 111477552, 113491688
  2588,  16,  16384,  29090,  12,  14,   2, 113877320, 112449416, 113424760, 113138064, 111017048
  2589,  16,  16384,   5293,  14,  13,   2, 110944616, 110865808, 110181024, 110401408, 114384456
  2590,  16,  16384,  22871,  13,  14,   2, 113102328, 114300560, 113831200, 114039760, 109911008
  2591,  16,  16384,  38919,  14,  14,   0, 111006032, 110875120, 110734248, 110718208, 109704808
  2592,  16,  16384,  28187,  14,  15,   1, 111122824, 111047896, 110672160, 110758432, 111703936
  2593,  16,  16384,  16518,  15,   3,   3, 110564760, 110202536, 111481248, 110674992, 111323464
  2594,  16,  16384,  32940,   3,   3,   0, 111099808, 110536904, 111375672, 111357704, 110439872
  2595,  16,  16384,  12125,   3,   3,   0, 111257032, 111488768, 109200112, 110808488, 106151080
  2596,  16,  16384,  30372,   3,  11,   3, 111203424, 111305008, 111139600, 109998952, 111683096
  2597,  16,  16384,  25797,  11,  11,   0, 111842064, 111729000, 110504824, 111430056, 111514320
  2598,  16,  16384,   4927,  11,  10,   1, 103735384, 110252440, 111526080, 111609496, 109958376
  2599,  16,  16384,  11758,  10,  10,   0, 111060624, 110964080, 110897088, 109550264, 109892808
  2600,  16,  16384,  12089,  10,  19,   3, 104993304, 110972120, 109854688, 110612760, 112182840
  2601,  16,  16384,  32892,  19,  18,   1, 112311200, 113063592, 113226848, 113520704, 112650120
  2602,  16,  16384,  34881,  18,   7,   3, 111136656, 109941352, 107898192, 112413560, 109610480
  2603,  16,  16384,  39755,   7,   6,   1, 110512888, 110432296, 105330192, 111247120, 110498520
  2604,  16,  16384,  41391,   6,   7,   1, 110134304, 110061648, 110352632, 108019088, 111485168
  2605,  16,  16384,  25840,   7,   6,   1, 110388048, 109284440, 110539792, 106909240, 101750504
  2606,  16,  16384,   9681,   6,   7,   1, 110194560, 110137328, 110073576, 110198088, 111550960
  2607,  16,  16384,   8994,   7,   6,   1, 111534496, 111650856, 110466352, 111172384, 110447824
  2608,  16,  16384,  42444,   6,   7,   1, 110248896, 108701384, 108840480, 104054448, 111515632
  2609,  16,  16384,  14651,   7,   6,   1, 111509456, 111339160, 111418648, 111433288, 109792528
  2610,  16,  16384,  26026,   6,   6,   0, 110241032, 110237424, 110275712, 109045680, 109133568
  2611,  16,  16384,  21784,   6,   7,   1, 105573408, 109994000, 110085216, 109991584, 111533424
  2612,  16,  16384,  41145,   7,   5,   3, 110348784, 111312600, 109989184, 110431328, 114201160
  2613,  16,  16384,  41943,   5,  21,   3, 112640984, 114063160, 113680464, 113752216, 116127008
  2614,  16,  16384,  35203,  21,   8,   3, 116036592, 114775480, 115969512, 114583648, 112768184
  2615,  16,  16384,  39926,   8,  13,   3, 113850544, 107311920, 113727760, 113623560, 112957216
  2616,  16,  16384,  17803,  13,   0,   3, 114192384, 114374856, 114347488, 114077464, 113824376
  2617,  16,  16384,  24275,   0,   2,   2, 113542336, 112059968, 111522432, 113662184, 111015720
  2618,  16,  16384,   6637,   2,   4,   2, 109722688, 110792368, 109511640, 110572776, 114104584
  2619,  16,  16384,  29969,   4,   4,   0, 113963120, 113790192, 113428520, 113581888, 104242992
  2620,  16,  16384,   3933,   4,  22,   3, 114081248, 113878640, 113587544, 113906088, 111456592
  2621,  16,  16384,  49165,  22,  20,   2, 112719784, 112671424, 112570984, 111837512, 115547512
  2622,  16,  16384,   4659,  20,  21,   1, 115434472, 111690240, 115541704, 114513752, 116086960
  2623,  16,  16384,  18825,  21,  10,   3, 115899408, 115659448, 115638440, 115790568, 110991712
  2624,  16,  16384,  47770,  10,   7,   2, 109699816, 111069736, 108532016, 110960752, 111771608
  2625,  16,  16384,  44110,   7,  15,   3, 111613352, 110554144, 110283992, 111404072, 109308472
  2626,  16,  16384,  28343,  15,  22,   3, 110945688, 110970784, 111513568, 111425960, 111072296
  2627,  16,  16384,  36479,  22,   5,   3, 111358688, 112288008, 112247704, 111392000, 114228664
  2628,  16,  16384,  29984,   5,   0,   2, 114012920, 112816600, 113815608, 112940104, 111644744
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  2632,  16,  16384,  25243,  19,  22,   2, 112155736, 111876328, 112206912, 111898472, 112220760
  2633,  16,  16384,   5555,  22,  22,   0, 112449960, 110892360, 105962896, 111029104, 112371576
  2634,  16,  16384,  25729,  22,  22,   0, 112691376, 112521680, 111245032, 112172696, 112498168
  2635,  16,  16384,   6512,  22,  22,   0, 112656968, 112401888, 112699256, 111048888, 111250080
  2636,  16,  16384,   1873,  22,  23,   1, 112584024, 105368136, 112422288, 112273984, 112087752
  2637,  16,  16384,  26681,  23,   2,   3, 112293920, 112004512, 113210240, 112947936, 110685888
  2638,  16,  16384,  21956,   2,   0,   2, 107223768, 107541944, 110887976, 110096344, 107570792
  2639,  16,  16384,  16401,   0,   1,   1, 113935376, 113497776, 112285464, 112134936, 114105752
  2640,  16,  16384,  35178,   1,  15,   3, 114244104, 112564200, 114100248, 112858736, 111390432
  2641,  16,  16384,  32565,  15,  19,   3, 110883880, 107438864, 107138480, 111049368, 113503512
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  2643,  16,  16384,  48116,  19,  18,   1, 113352856, 113258296, 107344424, 112991752, 112492672
  2644,  16,  16384,  28234,  18,  18,   0, 112672696, 112418952, 106699496, 110943592, 110103008
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  2646,  16,  16384,  43701,  18,  21,   2, 112827264, 112520664, 112471528, 112441912, 114603792
  2647,  16,  16384,  37419,  21,  20,   1, 116201464, 114645440, 115679904, 115858560, 115846136
  2648,  16,  16384,  24680,  20,  15,   3, 115823984, 115593888, 115354552, 114402072, 111707616
  2649,  16,  16384,   2912,  15,   1,   3, 111618920, 111344008, 110147992, 111656240, 114483048
  2650,  16,  16384,  41143,   1,   1,   0, 114133656, 113679808, 106429792, 113915648, 114105632
  2651,  16,  16384,  25579,   1,   1,   0, 114150376, 114009912, 112549032, 113954648, 113067192
  2652,  16,  16384,  27472,   1,  22,   3, 112805328, 114077088, 114085728, 113849608, 112478112
  2653,  16,  16384,  12315,  22,  19,   2, 112468944, 112306360, 112400824, 109402368, 113255984
  2654,  16,  16384,  49735,  19,  13,   3, 113411952, 113520096, 112050520, 105044632, 114296952
  2655,  16,  16384,  18463,  13,  13,   0, 111976520, 114399552, 112867832, 114206584, 113993376
  2656,  16,  16384,  12652,  13,  17,   2, 114099480, 114292808, 114085408, 107843376, 110338936
  2657,  16,  16384,  38955,  17,   5,   3, 115911264, 115688088, 114307096, 116201784, 107154936
  2658,  16,  16384,  31148,   5,   4,   1, 113925744, 113991920, 114106064, 112660672, 113867512
  2659,  16,  16384,  24930,   4,  15,   3, 113999408, 113716216, 113671840, 113899112, 111519424
  2660,  16,  16384,  17543,  15,  17,   2, 111577328, 111419920, 111302616, 111500744, 116037632
  2661,  16,  16384,  30954,  17,  17,   0, 116102384, 114804792, 115753272, 115726048, 115962856
  2662,  16,  16384,   4608,  17,  16,   1, 116276544, 115833800, 113038552, 115751328, 112306392
  2663,  16,  16384,  31260,  16,  17,   1, 111963376, 115433968, 115510848, 115257688, 115789360
  2664,  16,  16384,  32325,  17,  12,   2, 115959168, 109974520, 115888608, 115927240, 107869920
  2665,  16,  16384,   6078,  12,   9,   3, 113705808, 113593712, 111342240, 112790912, 113257456
  2666,  16,  16384,  12132,   9,   6,   2, 114089200, 114046128, 113955120, 113620984, 106269376
  2667,  16,  16384,  31132,   6,   6,   0, 107048008, 110035784, 109962416, 109937472, 108866376
  2668,  16,  16384,   1109,   6,   8,   2, 110152152, 108835968, 110280992, 110027472, 113684448
  2669,  16,  16384,  27385,   8,  13,   3, 113676824, 112469296, 113489960, 113742624, 113116976
  2670,  16,  16384,  39945,  13,  13,   0, 114397776, 114421144, 114154704, 113915968, 114192144
  2671,  16,  16384,   5105,  13,  21,   3, 114301344, 114062544, 113208848, 107603056, 114719096
  2672,  16,  16384,  25329,  21,  21,   0, 116066608, 114754784, 116061336, 115944360, 115984112
  2673,  16,  16384,  29419,  21,  15,   3, 115881512, 115658376, 109991240, 115854512, 111702416
  2674,  16,  16384,  40258,  15,  14,   1, 111555512, 110507976, 110212808, 111671464, 110764816
  2675,  16,  16384,  41981,  14,  15,   1, 109948000, 109773536, 110747552, 110693320, 111588840
  2676,  16,  16384,  45093,  15,  13,   2, 111551448, 111382504, 110397736, 110415056, 114220616
  2677,  16,  16384,  23471,  13,  11,   3, 114219424, 114136400, 114202528, 114194504, 111591288
  2678,  16,  16384,  13351,  11,  10,   1, 112050720, 111591560, 111375176, 110446280, 105015384
  2679,  16,  16384,  45911,  10,  10,   0, 110863552, 109581280, 111066136, 109656784, 111137560
  2680,  16,  16384,  44471,  10,  17,   3, 111051792, 111078288, 111057384, 110606128, 116319728
  2681,  16,  16384,   7821,  17,  17,   0, 114643696, 114501792, 116047776, 115767920, 115788912
  2682,  16,  16384,    742,  17,  20,   3, 115977968, 115354088, 115680264, 115544240, 115681112
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  2684,  16,  16384,  33982,  14,  17,   2, 105065240, 108554872, 110862104, 110772112, 115712192
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  2824,  16,  16384,  32981,   6,  20,   3, 110184432, 109989152, 108885656, 110194576, 115480248
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  2831,  16,  16384,  30412,  19,  19,   0, 113443824, 112124872, 113526384, 113277784, 113263664
  2832,  16,  16384,   4631,  19,  19,   0, 107701920, 110322496, 113137992, 111864648, 113345224
  2833,  16,  16384,   8083,  19,  18,   1, 113393912, 113332256, 113382600, 113597128, 112715792
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  2835,  16,  16384,   8421,  22,  21,   2, 112543832, 112482808, 111144928, 112346544, 114509664
  2836,  16,  16384,  33590,  21,   5,   3, 116042152, 114228440, 114922752, 115854472, 113905800
  2837,  16,  16384,  23783,   5,   2,   2, 114222560, 113901784, 114021968, 112718096, 110736872
  2838,  16,  16384,  30170,   2,   3,   1, 110186120, 110542328, 110781328, 110829760, 111668680
  2839,  16,  16384,  38253,   3,  14,   3, 108056656, 111064784, 104983672, 111264400, 110963200
  2840,  16,  16384,  46145,  14,  15,   1, 110922000, 111021240, 109898248, 110901776, 111710224
  2841,  16,  16384,  45044,  15,  16,   2, 110228800, 105941792, 109696512, 110365288, 109848400
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  2846,  16,  16384,  31058,  12,  16,   2, 113059240, 113870984, 107663808, 113018656, 108676576
  2847,  16,  16384,  28905,  16,  17,   1, 115249800, 115325200, 115058120, 113896464, 116202040
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  2849,  16,  16384,  45918,  17,  16,   1, 114848784, 109360768, 114963464, 115912832, 115369800
  2850,  16,  16384,   2543,  16,  15,   2, 115575520, 115210592, 115234552, 113993544, 111389720
  2851,  16,  16384,   1674,  15,  14,   1, 111958240, 111449008, 110191632, 111351168, 105284648
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  2879,  16,  16384,  47950,  11,   6,   2, 111359152, 111491248, 111481072, 109049288, 109867528
  2880,  16,  16384,  32895,   6,   9,   2, 110069264, 110046536, 108854536, 110064776, 114368184
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  2882,  16,  16384,  36623,   9,   9,   0, 108906120, 113356600, 111728648, 114151816, 113917232
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  2887,  16,  16384,  29596,  22,  22,   0, 112639416, 112420776, 110822192, 112018680, 112560880
  2888,  16,  16384,  45695,  22,  22,   0, 112614080, 112433224, 112514032, 112430048, 112526120
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  2890,  16,  16384,  17606,  19,  18,   1, 113590072, 111817760, 113360488, 113127928, 110657776
  2891,  16,  16384,  26544,  18,  18,   0, 111728472, 112322832, 111193416, 112589832, 111440088
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  2895,  16,  16384,  21396,  23,  23,   0, 111971656, 113024704, 113214744, 113228000, 113673304
  2896,  16,  16384,  39874,  23,  16,   3, 110475784, 112012816, 113497160, 113294112, 114088776
  2897,  16,  16384,   7020,  16,  13,   2, 115561664, 115214176, 112650576, 115734504, 114258008
  2898,  16,  16384,   3534,  13,  12,   1, 114004200, 114299200, 114076784, 114139336, 113747928
  2899,  16,  16384,  25067,  12,  13,   1, 113740528, 113288184, 111595280, 113572624, 113012112
  2900,  16,  16384,  13750,  13,  13,   0, 114414000, 113977144, 114133168, 114308992, 114320744
  2901,  16,  16384,  37742,  13,  19,   3, 113999376, 113430680, 113475672, 113343936, 113317000
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  2903,  16,  16384,  29009,  18,  21,   2, 112893568, 111036648, 112650592, 112594456, 113425880
  2904,  16,  16384,  42794,  21,  18,   2, 116130704, 115764344, 115200600, 115208088, 110889256
  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
  2919,  16,  16384,   3161,   7,   9,   2, 111709176, 109933800, 108991968, 107608312, 114110040
  2920,  16,  16384,   9248,   9,   8,   1, 114223472, 108167192, 111877648, 114033048, 113917768
  2921,  16,  16384,   7097,   8,   9,   1, 112547488, 113682464, 113677376, 113897576, 113477912
  2922,  16,  16384,  36912,   9,   0,   3, 114354160, 113893656, 113673936, 114070952, 113817784
  2923,  16,  16384,  29135,   0,   4,   2, 113581344, 113784376, 112435664, 113665088, 114029072
  2924,  16,  16384,  16366,   4,   2,   2, 113787616, 110763792, 109476400, 112699008, 109514472
  2925,  16,  16384,  46161,   2,   0,   2, 109786640, 110793352, 110709600, 109829992, 113782184
  2926,  16,  16384,  31962,   0,   5,   2, 113848632, 113682192, 113558776, 112213888, 114208192
  2927,  16,  16384,  14616,   5,  12,   3, 113120568, 113804280, 111611568, 114147000, 112661360
  2928,  16,  16384,   4554,  12,  17,   2, 107935904, 113820624, 113991480, 113759304, 115065208
  2929,  16,  16384,  35821,  17,  17,   0, 116338952, 114552888, 115753256, 114699960, 116271952
  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
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  3179,  16,  16384,   5591,   6,   6,   0, 110319272, 109845016, 110060872, 109843960, 108927656
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  3181,  16,  16384,  16975,   6,   7,   1, 110315120, 109786264, 104279224, 109912224, 111554360
  3182,  16,  16384,   8370,   7,  10,   2, 111740104, 111095528, 111402496, 111442168, 109698776
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  3347,  16,  16384,  24041,  13,  12,   1, 114486184, 114215776, 112982128, 114002040, 113653928
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  3349,  16,  16384,   8377,  13,  16,   2, 114335256, 113996520, 113901816, 113845016, 115599640
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  3682,  16,  16384,   9862,  18,  20,   2, 112525640, 106752112, 112338816, 112391184, 115108232
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  3849,  16,  16384,  43428,  23,  18,   2, 112210216, 112441136, 112416240, 112960536, 111770488
  3850,  16,  16384,  46958,  18,  19,   1, 112490016, 111334672, 111352640, 111779408, 113389376
  3851,  16,  16384,  17843,  19,  19,   0, 111958144, 113335824, 112085280, 113138760, 113165104
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  3879,  16,  16384,  42863,  15,  13,   2, 111570912, 105428880, 111563336, 111262128, 114328472
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  3884,  16,  16384,  30302,   4,   3,   2, 112679400, 113777968, 113864368, 114040464, 111560160
  3885,  16,  16384,  36248,   3,   2,   1, 105347736, 111312416, 111388816, 109819752, 110875216
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  3887,  16,  16384,  16233,   3,   2,   1, 111477272, 111328512, 105297056, 111429024, 109711104
  3888,  16,  16384,   1185,   2,   9,   3, 111042256, 110379688, 110970608, 110872320, 113192440
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  3890,  16,  16384,  30339,   8,   6,   2, 113905704, 113620832, 107756288, 113379912, 109872816
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  3893,  16,  16384,  49268,   1,   1,   0, 112838440, 113740400, 114207264, 105075720, 114048776
  3894,  16,  16384,  11046,   1,   4,   2, 113051624, 113866256, 113859272, 114220704, 113754608
  3895,  16,  16384,  41504,   4,   3,   2, 112808728, 113647296, 112954584, 113782784, 111294960
  3896,  16,  16384,  23603,   3,   2,   1, 110451488, 111431008, 105274576, 111416440, 111150928
  3897,  16,  16384,   7766,   2,  10,   3, 110726688, 109662776, 110623072, 110636248, 110923320
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  3899,  16,  16384,  47025,  10,  11,   1, 111002240, 111313000, 110690904, 110810240, 111656192
  3900,  16,  16384,  47915,  11,  10,   1, 110391040, 111558816, 111804016, 110409160, 110028160
  3901,  16,  16384,  34642,  10,  17,   3, 109680568, 110918848, 110828200, 110993008, 113613480
  3902,  16,  16384,  38257,  17,  17,   0, 116285192, 115880664, 114922456, 115433760, 112434352
  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
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  4017,  16,  16384,  41953,  16,  15,   2, 114040160, 114380952, 115016488, 114405672, 110583616
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  4324,  16,  16384,  12899,  14,  14,   0, 111043120, 110957688, 110717904, 104491872, 110980384
  4325,  16,  16384,  19867,  14,  16,   2, 110771752, 109844160, 109740128, 110701208, 109653112
  4326,  16,  16384,  47815,  16,  20,   3, 115870080, 115621464, 114494800, 115415864, 114515448
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  4329,  16,  16384,  27770,  12,  13,   1, 112886992, 112675104, 113640056, 113420456, 107958400
  4330,  16,  16384,  14588,  13,  13,   0, 113156792, 113661568, 114011936, 114115864, 114224440
  4331,  16,  16384,  25902,  13,  18,   3, 112964272, 113168240, 113923368, 113899208, 112367768
  4332,  16,  16384,   7594,  18,  23,   2, 111576320, 111043280, 112194344, 112319936, 112169192
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  4334,  16,  16384,  34471,  19,   0,   3, 113529192, 113414096, 111855992, 113155712, 114095944
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  4337,  16,  16384,   7028,   0,   2,   2, 111530640, 113795320, 113816472, 113765024, 109666584
  4338,  16,  16384,  37625,   2,   3,   1, 108108288, 107618280, 110618656, 110847488, 111597496
  4339,  16,  16384,  30207,   3,  16,   3, 111473224, 111312768, 105459752, 111308624, 115712192
  4340,  16,  16384,   8837,  16,  17,   1, 115528280, 115460312, 115173112, 115268640, 116480040
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  4344,  16,  16384,  29373,  15,  18,   3, 111540464, 108342328, 108194128, 110321040, 111153984
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  4347,  16,  16384,  35387,   1,   5,   2, 108032728, 113930736, 113827336, 113754512, 113988400
  4348,  16,  16384,  10467,   5,   5,   0, 113017288, 113789424, 112471656, 114037216, 114083280
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  4514,  16,  16384,  16891,  18,  20,   2, 110178728, 112463944, 112359296, 111100232, 115793296
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  4520,  16,  16384,   8922,   5,   1,   2, 111562728, 113933424, 114007800, 114178712, 114186840
  4521,  16,  16384,  27602,   1,   2,   2, 114071672, 114145568, 113812696, 113347088, 111004640
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  4545,  16,  16384,  36792,  20,   3,   3, 115544480, 114190928, 114227408, 115457840, 106478992
  4546,  16,  16384,   6760,   3,  13,   3, 109299904, 110106600, 111206632, 111283432, 108509456
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  4550,  16,  16384,  33254,  12,  13,   1, 111282936, 110111056, 113707568, 112930528, 114133552
  4551,  16,  16384,  28860,  13,  13,   0, 113903312, 113012440, 113932968, 114101112, 113194664
  4552,  16,  16384,   3119,  13,  16,   2, 114202224, 114014232, 113920048, 112850560, 114916128
  4553,  16,  16384,  12048,  16,   0,   3, 115300904, 115657856, 115102720, 115337872, 112575080
  4554,  16,  16384,  25817,   0,   1,   1, 113722672, 113301928, 113360168, 113699672, 114169584
  4555,  16,  16384,  14992,   1,   0,   1, 112954056, 112683144, 114290680, 113913688, 113648568
  4556,  16,  16384,   3477,   0,  18,   3, 113527528, 112268648, 113590488, 113651856, 112318144
  4557,  16,  16384,  30244,  18,  13,   3, 112675688, 110952104, 112621120, 111061160, 114302664
  4558,  16,  16384,  31196,  13,  13,   0, 114434904, 114389864, 113149520, 114263920, 111389664
  4559,  16,  16384,   1846,  13,  13,   0, 111219088, 114180920, 113956752, 114203640, 113081312
  4560,  16,  16384,  13157,  13,   6,   3, 113207232, 113224352, 114178160, 114070072, 110350912
  4561,  16,  16384,  48725,   6,  15,   3, 110284664, 110119184, 109929416, 109989248, 111944760
  4562,  16,  16384,  39585,  15,  14,   1, 105509568, 111335728, 111551376, 110382448, 110847040
  4563,  16,  16384,  16527,  14,  15,   1, 110773616, 109721872, 110811296, 110942792, 110690232
  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
  4571,  16,  16384,  11705,   2,   2,   0, 110680576, 109379904, 110839528, 110939576, 109495160
  4572,  16,  16384,  38878,   2,   0,   2, 109519088, 109493248, 110783792, 110811488, 113725544
  4573,  16,  16384,  25795,   0,   5,   2, 112747480, 113644336, 113390056, 113645120, 113561280
  4574,  16,  16384,  11714,   5,   0,   2, 112992592, 112849776, 113822944, 114115200, 112430008
  4575,  16,  16384,  23196,   0,   4,   2, 113876744, 113432696, 112446504, 113534448, 113933960
  4576,  16,  16384,  37044,   4,   5,   1, 113930304, 114007048, 112603720, 105308216, 114057152
  4577,  16,  16384,  30965,   5,   5,   0, 113926456, 114020232, 113349904, 113847520, 114053816
  4578,  16,  16384,  47999,   5,   4,   1, 107987872, 113908328, 113060384, 113775360, 113513040
  4579,  16,  16384,  17659,   4,  19,   3, 113422912, 113359056, 113307328, 112411264, 111777008
  4580,  16,  16384,  29361,  19,   7,   3, 111798816, 113025160, 113164472, 113032848, 111426808
  4581,  16,  16384,  18942,   7,   3,   3, 111444232, 110306104, 111145728, 111516168, 110678864
  4582,  16,  16384,  15987,   3,   6,   3, 110910656, 110447576, 105191216, 111359528, 110175984
  4583,  16,  16384,  36305,   6,  10,   2, 107773336, 108903912, 109869432, 110002032, 111073832
  4584,  16,  16384,  41500,  10,  10,   0, 109858408, 110995496, 110684656, 104927416, 110981280
  4585,  16,  16384,  22487,  10,  16,   3, 111079960, 110934392, 109601656, 109546960, 115325312
  4586,  16,  16384,  26847,  16,  17,   1, 115345440, 115062216, 115048200, 109438664, 114955832
  4587,  16,  16384,  26155,  17,   2,   3, 115826632, 116022672, 114780112, 115979232, 109742568
  4588,  16,  16384,  16445,   2,   0,   2, 110758856, 110500080, 110879056, 110658312, 111136792
  4589,  16,  16384,  49063,   0,   1,   1, 113114592, 113680600, 113823048, 107476296, 114197920
  4590,  16,  16384,  46100,   1,   6,   3, 114525560, 107316528, 113666592, 114256712, 110262880
  4591,  16,  16384,  24275,   6,  13,   3, 110104824, 108868080, 108795968, 110127136, 114251072
  4592,  16,  16384,  40404,  13,   9,   3, 114502568, 112901944, 114093712, 112018304, 114244936
  4593,  16,  16384,  44749,   9,   8,   1, 114035576, 114166960, 114011480, 114256112, 113201416
  4594,  16,  16384,  48197,   8,   3,   3, 113966912, 113807344, 107871280, 113656312, 111335800
  4595,  16,  16384,   3765,   3,  15,   3, 110548544, 103740352, 111407872, 111375568, 111211288
  4596,  16,  16384,  30935,  15,  15,   0, 111543896, 111169696, 111640512, 110355936, 111687800
  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
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  4693,  16,  16384,  35199,  22,  20,   2, 112673048, 112314824, 111153016, 112423200, 109740664
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  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
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  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
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  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
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  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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  4737,  16,  16384,  15076,  18,  18,   0, 112542224, 111982584, 112012480, 110780784, 111867032
  4738,  16,  16384,  11607,  18,  18,   0, 112185312, 111955024, 112232912, 111963592, 111719488
  4739,  16,  16384,   8758,  18,  22,   2, 110700264, 111925344, 106022296, 111975912, 112488864
  4740,  16,  16384,  22130,  22,  19,   2, 110801272, 111491576, 111487816, 112146672, 112783144
  4741,  16,  16384,  27612,  19,  19,   0, 112803120, 111519944, 111532056, 112472416, 112429464
  4742,  16,  16384,  25075,  19,  18,   1, 107752744, 112903168, 112756392, 112745008, 112301096
  4743,  16,  16384,   5210,  18,  21,   2, 112526088, 112034152, 112113376, 110779456, 114736384
  4744,  16,  16384,  21990,  21,  22,   2, 116497872, 114751352, 115995568, 116247824, 106772456
  4745,  16,  16384,   4910,  22,  23,   1, 110831800, 111788840, 111887936, 111911824, 113291272
  4746,  16,  16384,  36527,  23,  18,   2, 111739328, 112667000, 112438976, 112466624, 112108136
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  4748,  16,  16384,   1322,  19,  19,   0, 111548576, 111114744, 112422704, 112384864, 112843856
  4749,  16,  16384,  33703,  19,  18,   1, 113042312, 112723944, 112589824, 112431728, 112075008
  4750,  16,  16384,   2736,  18,  19,   1, 112630624, 112200584, 112488384, 109885376, 112948104
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  4757,  16,  16384,  33195,   9,   8,   1, 114424880, 114274328, 114149112, 114344336, 112523224
  4758,  16,  16384,   6098,   8,   8,   0, 114198560, 114043392, 114047416, 113559496, 114025320
  4759,  16,  16384,  15208,   8,   8,   0, 108003832, 113598488, 113392704, 112217288, 112890216
  4760,  16,  16384,  26071,   8,  13,   3, 113921952, 112594448, 113994944, 112499488, 113424904
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  4762,  16,  16384,  27403,   2,   3,   1, 110441200, 110370304, 110255968, 110584688, 110766048
  4763,  16,  16384,   3856,   3,   2,   1, 106764152, 108697408, 109524064, 110812624, 104515376
  4764,  16,  16384,  10132,   2,   3,   1, 110422632, 110494984, 109068312, 110579720, 110548472
  4765,  16,  16384,  11449,   3,   3,   0, 111303408, 108132848, 110803360, 110880312, 110472216
  4766,  16,  16384,  19913,   3,   4,   2, 110011552, 110649848, 110630608, 109277360, 114099272
  4767,  16,  16384,  40801,   4,  13,   3, 112909688, 113837896, 113771072, 112664384, 111732952
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  4823,  16,  16384,  35968,   2,   2,   0, 102474728, 110298488, 110448352, 110373152, 109656248
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  4827,  16,  16384,   8518,   2,   2,   0, 110364272, 110508552, 110285224, 110338632, 109322168
  4828,  16,  16384,  39059,   2,  20,   3, 110463752, 104224264, 110348112, 110595320, 115960248
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  4832,  16,  16384,  37221,   3,   2,   1, 109985760, 110948896, 110899008, 110942416, 110551272
  4833,  16,  16384,  38146,   2,   3,   1, 110866664, 109237920, 108400416, 110129832, 111208920
  4834,  16,  16384,  48382,   3,  21,   3, 111256656, 108613152, 110917640, 110906616, 114540912
  4835,  16,  16384,   1481,  21,   6,   3, 113880448, 116027832, 116062592, 116080840, 109833824
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  4845,  16,  16384,  24190,  11,   9,   2, 111262488, 109841392, 109775208, 111017912, 114327192
  4846,  16,  16384,  34471,   9,  16,   3, 114336240, 114423288, 110835088, 109206392, 116183112
  4847,  16,  16384,  44157,  16,  16,   0, 114752336, 115842984, 114431840, 109810056, 114466416
  4848,  16,  16384,  24207,  16,  16,   0, 116174776, 114209960, 115734624, 115638896, 115808000
  4849,  16,  16384,  28881,  16,  16,   0, 116082056, 115777816, 114475056, 114297928, 115699016
  4850,  16,  16384,   8268,  16,  15,   2, 115763168, 108048400, 115670112, 114432664, 111119640
  4851,  16,  16384,  23923,  15,  15,   0, 110158680, 110954896, 111069520, 111053096, 110321136
  4852,  16,  16384,  21292,  15,  14,   1, 111319224, 109853856, 110091960, 110897304, 110635496
  4853,  16,  16384,  22116,  14,  15,   1, 109946064, 110193304, 109206288, 104835448, 111037240
  4854,  16,  16384,  35472,  15,  15,   0, 110424800, 111246920, 110967000, 110269904, 111392192
  4855,  16,  16384,  32279,  15,  14,   1, 111290552, 107652832, 108393888, 111321552, 110653536
  4856,  16,  16384,  42896,  14,  15,   1, 109761872, 110732008, 110699488, 110410504, 110171528
  4857,  16,  16384,  18319,  15,  14,   1, 110525248, 111189128, 110955624, 105128320, 110717464
  4858,  16,  16384,  20276,  14,  18,   3, 103893296, 110446664, 109584720, 110726408, 112515224
  4859,  16,  16384,  20981,  18,  19,   1, 112319184, 111839400, 112159600, 112155088, 112031536
  4860,  16,  16384,   3682,  19,  13,   3, 111081792, 112637256, 112590984, 112993736, 114228504
  4861,  16,  16384,  24664,  13,  12,   1, 114332472, 108214824, 113998960, 114114952, 113881344
  4862,  16,  16384,  46623,  12,  12,   0, 111551608, 113807008, 113834424, 112832072, 114149248
  4863,  16,  16384,  32715,  12,  13,   1, 113760888, 112933664, 113850456, 107636680, 113567840
  4864,  16,  16384,  24881,  13,   3,   3, 114473480, 112670200, 113684784, 114248144, 111673192
  4865,  16,  16384,  43114,   3,   2,   1, 111243360, 111129944, 111010000, 111281168, 110700696
  4866,  16,  16384,  13526,   2,  20,   3, 110590920, 110549616, 110783216, 110451224, 115719472
  4867,  16,  16384,  21105,  20,  22,   2, 115372304, 109219744, 115452728, 115614184, 112310528
  4868,  16,  16384,  27575,  22,  22,   0, 106662632, 112313800, 112272192, 112386552, 112105392
  4869,  16,  16384,   3151,  22,  23,   1, 111301856, 110768152, 111012160, 111038192, 113096032
  4870,  16,  16384,  38324,  23,  22,   1, 113263536, 113056776, 111574448, 110967928, 112315832
  4871,  16,  16384,  21764,  22,  23,   1, 112458120, 111949040, 110762480, 109750136, 113188504
  4872,  16,  16384,   5245,  23,  23,   0, 113256800, 112948008, 113270728, 111569584, 111950960
  4873,  16,  16384,  33170,  23,  23,   0, 113375568, 107393536, 112719744, 110235240, 113052240
  4874,  16,  16384,  48594,  23,  23,   0, 113005224, 112897368, 113118592, 113132448, 111851224
  4875,  16,  16384,  11364,  23,  23,   0, 113397064, 111966368, 112871272, 113095040, 109659936
  4876,  16,  16384,  48430,  23,  18,   2, 112581304, 112909432, 113120480, 113064264, 112155856
  4877,  16,  16384,  24368,  18,  23,   2, 106785640, 112405792, 111733640, 111915264, 113204808
  4878,  16,  16384,  13952,  23,  19,   2, 112080344, 106234984, 112930128, 113367136, 113330760
  4879,  16,  16384,  24641,  19,  21,   2, 113014544, 113135648, 113031904, 105928672, 112003304
  4880,  16,  16384,  34911,  21,  21,   0, 116251584, 115732360, 115922096, 115979872, 116299320
  4881,  16,  16384,  48957,  21,  22,   2, 116353808, 115992416, 115778896, 115032832, 112453728
  4882,  16,  16384,  25880,  22,  18,   2, 112380400, 112279640, 110226560, 110672552, 112595248
  4883,  16,  16384,  31670,  18,  20,   2, 111531952, 111909984, 112259008, 112248784, 115746968
  4884,  16,  16384,  30237,  20,   9,   3, 115407520, 115255400, 115027872, 114094512, 114298584
  4885,  16,  16384,  37451,   9,   8,   1, 114324072, 114168128, 114084456, 114138048, 113466712
  4886,  16,  16384,  38733,   8,   6,   2, 113862016, 113932280, 113765480, 112766168, 106745432
  4887,  16,  16384,  16195,   6,  16,   3, 110238336, 109848048, 110142816, 104034048, 115753264
  4888,  16,  16384,  38666,  16,   5,   3, 113187288, 115594216, 115463784, 115512624, 114268528
  4889,  16,  16384,  10091,   5,   2,   2, 112840696, 113752200, 114014296, 113865968, 104904352
  4890,  16,  16384,  41838,   2,   2,   0, 110690696, 110441720, 109280392, 110570496, 110804896
  4891,  16,  16384,  14105,   2,   3,   1, 110579272, 110591784, 108506872, 109473064, 111008528
  4892,  16,  16384,  29150,   3,   0,   2, 111293424, 111613016, 106053232, 107635296, 113493016
  4893,  16,  16384,  27906,   0,   0,   0, 114048928, 113659336, 112332272, 112365032, 113839072
  4894,  16,  16384,   8050,   0,   1,   1, 113784584, 113518176, 113468984, 113955936, 114372464
  4895,  16,  16384,  41049,   1,  13,   3, 114115360, 113894264, 114202904, 111529104, 112612576
  4896,  16,  16384,  48482,  13,  17,   2, 110055768, 114220728, 112265224, 114140256, 116386376
  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
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  5217,  16,  16384,  42637,   6,   6,   0, 110100976, 109976032, 109222944, 109764920, 107937976
  5218,  16,  16384,  27293,   6,   7,   1, 110141472, 110087824, 110211560, 110190200, 111273664
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  5224,  16,  16384,   1868,   8,   7,   2, 113664608, 113798712, 114053712, 113914232, 110170432
  5225,  16,  16384,  12562,   7,   7,   0, 111795296, 111560400, 111218944, 111541944, 111286536
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  5229,  16,  16384,  31555,   2,  17,   3, 110730448, 109503344, 110589216, 109347648, 116166848
  5230,  16,  16384,  28476,  17,  12,   2, 116108576, 115931960, 115900768, 116031216, 113859448
  5231,  16,  16384,  47239,  12,   9,   3, 113873368, 113629872, 113615968, 113803520, 113828192
  5232,  16,  16384,  32246,   9,   8,   1, 114448136, 112775776, 114185248, 113999336, 113895728
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  5239,  16,  16384,  34005,  21,  21,   0, 115409672, 114870784, 110118360, 116117808, 114776248
  5240,  16,  16384,   3883,  21,  20,   1, 116254160, 114547472, 115980120, 115847504, 115796272
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  5242,  16,  16384,  41577,  23,  23,   0, 112036304, 113362872, 112042704, 113613568, 111888736
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  5248,  16,  16384,  25829,  14,  13,   2, 111309680, 110732832, 110875080, 110777552, 114368928
  5249,  16,  16384,  19789,  13,  12,   1, 111996168, 114103064, 114042200, 112964520, 113526152
  5250,  16,  16384,  34425,  12,  13,   1, 114025368, 111554648, 113496808, 106452840, 108222120
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  5257,  16,  16384,  33493,   3,   2,   1, 111831448, 111252512, 111449272, 111574904, 109726216
  5258,  16,  16384,  14614,   2,   3,   1, 110900984, 110521656, 109844496, 110800896, 111366064
  5259,  16,  16384,  12001,   3,   1,   2, 109345184, 111452352, 111449848, 111319696, 113065768
  5260,  16,  16384,  16220,   1,   1,   0, 113977120, 112841136, 114079480, 114106528, 112983104
  5261,  16,  16384,  16027,   1,   1,   0, 114031296, 105929176, 114032376, 113985960, 113716304
  5262,  16,  16384,  43372,   1,   1,   0, 114350624, 114280544, 112967880, 114068296, 114272680
  5263,  16,  16384,  18328,   1,  13,   3, 114074128, 112599776, 114044072, 112631440, 114198560
  5264,  16,  16384,  26979,  13,  12,   1, 114194088, 113273424, 114530360, 114257336, 111506040
  5265,  16,  16384,  31298,  12,  17,   2, 113455864, 113815240, 113741688, 113730984, 116353888
  5266,  16,  16384,  37397,  17,  17,   0, 114601400, 115902080, 115021768, 115138176, 116258512
  5267,  16,  16384,   4729,  17,  16,   1, 116228056, 115714648, 114486960, 115927672, 115386224
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  5270,  16,  16384,  44511,   4,  23,   3, 113991064, 113641648, 111223448, 113834488, 112392584
  5271,  16,  16384,   5670,  23,  19,   2, 113134416, 113341336, 112942296, 112999112, 112244640
  5272,  16,  16384,  25239,  19,  18,   1, 113482584, 112473568, 113277328, 111893512, 112808008
  5273,  16,  16384,  27791,  18,  19,   1, 112707488, 112265928, 112219288, 103992072, 112990360
  5274,  16,  16384,  27261,  19,  18,   1, 112753608, 112681376, 113191008, 111999872, 112670656
  5275,  16,  16384,  23590,  18,   0,   3, 112325936, 112342240, 112281520, 112266048, 113627432
  5276,  16,  16384,  13464,   0,   1,   1, 113883712, 107622064, 113583304, 113538408, 112434296
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  5278,  16,  16384,  23710,   2,   2,   0, 111151096, 109853656, 109677448, 109660592, 105630880
  5279,  16,  16384,  16161,   2,   2,   0, 110182264, 110647440, 109548600, 110738912, 110789552
  5280,  16,  16384,  47823,   2,  13,   3, 111125176, 110989632, 110648928, 109824296, 113979640
  5281,  16,  16384,  49529,  13,  16,   2, 108391808, 114130688, 114082904, 114292752, 115653656
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  5287,  16,  16384,  26973,  12,  13,   1, 107386624, 113389640, 113499616, 111215312, 114155264
  5288,  16,  16384,  12553,  13,  17,   2, 108204480, 114257016, 113885168, 112979168, 116382800
  5289,  16,  16384,  28136,  17,  17,   0, 115800144, 115825144, 108935536, 115397784, 114536144
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  5299,  16,  16384,   5325,   4,   4,   0, 112538912, 107783328, 113761544, 113738928, 114077728
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  5309,  16,  16384,  19528,  16,  17,   1, 114406072, 109691192, 115411368, 115415232, 115411760
  5310,  16,  16384,  35754,  17,  13,   2, 116136672, 114776000, 116150928, 114727352, 114678056
  5311,  16,  16384,  49724,  13,   2,   3, 114495032, 114278016, 113986040, 114047880, 108686928
  5312,  16,  16384,  38486,   2,   3,   1, 111217048, 110995704, 110818448, 110892296, 111551944
  5313,  16,  16384,  38489,   3,   3,   0, 111594904, 110181016, 111583552, 111492720, 110427944
  5314,  16,  16384,  40097,   3,   2,   1, 111327424, 110991216, 111116048, 111250800, 104851976
  5315,  16,  16384,  45573,   2,   0,   2, 109641536, 110756128, 110640336, 110376472, 111340552
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  5317,  16,  16384,  31129,   0,   2,   2, 114095488, 113488720, 113662936, 113639720, 110788456
  5318,  16,  16384,  36682,   2,   3,   1, 110655824, 109921488, 109150680, 109248880, 111735992
  5319,  16,  16384,  34454,   3,   4,   2, 104542632, 110139488, 111197560, 111365248, 113906720
  5320,  16,  16384,  48293,   4,   4,   0, 112732200, 113741216, 113798080, 111513568, 113861280
  5321,  16,  16384,  30635,   4,   4,   0, 114103544, 113696056, 107500856, 113478848, 113882992
  5322,  16,  16384,  40563,   4,   4,   0, 113954592, 113533488, 112997800, 113666136, 111518416
  5323,  16,  16384,  16054,   4,   2,   2, 112895952, 113851888, 113791056, 113890240, 110912728
  5324,  16,  16384,  46998,   2,   3,   1, 111123312, 110604880, 110821888, 110732792, 111428312
  5325,  16,  16384,   8665,   3,   5,   2, 111527712, 111449664, 111331504, 104097352, 114160800
  5326,  16,  16384,   2491,   5,   4,   1, 114119352, 114238832, 112740024, 113879696, 113433320
  5327,  16,  16384,  34173,   4,   1,   2, 113490624, 113864304, 113619120, 111381880, 112675776
  5328,  16,  16384,  22520,   1,   0,   1, 113208120, 113820856, 113825736, 107887456, 113833912
  5329,  16,  16384,  47613,   0,   2,   2, 113873008, 112591552, 113651736, 113838008, 110902528
  5330,  16,  16384,  14276,   2,   3,   1, 110666432, 109480792, 104913960, 110443104, 111461448
  5331,  16,  16384,  47723,   3,   0,   2, 111324016, 109740496, 110534408, 111371984, 113998504
  5332,  16,  16384,  14923,   0,   1,   1, 112560800, 112289464, 112433464, 113551968, 113930376
  5333,  16,  16384,  29882,   1,   1,   0, 107749536, 113906824, 112645320, 113974016, 114245808
  5334,  16,  16384,  35548,   1,   6,   3, 114338992, 113121928, 113985384, 113970560, 110068040
  5335,  16,  16384,  37536,   6,   6,   0, 110033944, 110061568, 110130528, 109966040, 110238736
  5336,  16,  16384,  34301,   6,   9,   2, 110244136, 110064024, 107570264, 110040344, 114299400
  5337,  16,  16384,  19100,   9,   8,   1, 107921712, 112984624, 112995912, 113756368, 113663552
  5338,  16,  16384,  38548,   8,  10,   2, 113961616, 107382336, 113480656, 113408872, 110771936
  5339,  16,  16384,   7826,  10,  11,   1, 111026104, 110727512, 109691976, 110747088, 111664664
  5340,  16,  16384,   2137,  11,   9,   2, 111614800, 110549488, 111374632, 111396648, 114361096
  5341,  16,  16384,   1832,   9,   8,   1, 114174776, 113893304, 113971664, 114108832, 111998192
  5342,  16,  16384,  23219,   8,   8,   0, 114062360, 113965312, 113874136, 113533016, 114013000
  5343,  16,  16384,  42507,   8,   8,   0, 107768904, 113596384, 113156624, 113242864, 113816512
  5344,  16,  16384,  44256,   8,  17,   3, 111335864, 111474432, 113881816, 113751776, 115855168
  5345,  16,  16384,   3794,  17,  17,   0, 114967904, 109956752, 115533832, 115865368, 116201920
  5346,  16,  16384,  37940,  17,  12,   2, 115842800, 115785976, 115990408, 113255600, 113564488
  5347,  16,  16384,  42782,  12,  12,   0, 108018024, 113671504, 113632968, 113359416, 113863560
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  5380,  16,  16384,  16350,   8,  23,   3, 111199088, 113571008, 113515504, 113523824, 110853104
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  5382,  16,  16384,  49737,   8,   0,   3, 113929760, 113620784, 111570560, 113974960, 113972712
  5383,  16,  16384,  23944,   0,   0,   0, 110821256, 113853200, 105063080, 113404328, 113753592
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  5385,  16,  16384,   7533,   0,   9,   3, 113904136, 113784520, 113752056, 110791576, 112952840
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  5387,  16,  16384,  30950,  10,  11,   1, 111204184, 111031080, 110934608, 110611312, 111630840
  5388,  16,  16384,  10557,  11,   6,   2, 111530800, 111312424, 111421520, 110041552, 109948728
  5389,  16,  16384,  44216,   6,  15,   3, 110412904, 110143488, 109769208, 110157504, 111645336
  5390,  16,  16384,  19117,  15,  13,   2, 111674184, 111386512, 111622432, 111286824, 114506792
  5391,  16,  16384,  10340,  13,  12,   1, 113946888, 114110464, 114214944, 114090664, 113845512
  5392,  16,  16384,  30871,  12,  13,   1, 111277808, 113550576, 113765168, 107522736, 114300056
  5393,  16,  16384,  48834,  13,  22,   3, 113119912, 114238664, 114327800, 113976088, 112640712
  5394,  16,  16384,  38077,  22,  23,   1, 111140840, 111225688, 112578848, 105338704, 113460720
  5395,  16,  16384,  36471,  23,  23,   0, 112041472, 113001176, 107469392, 112489864, 113386248
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  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
  5402,  16,  16384,  33557,   3,   3,   0, 109293040, 111496512, 111259224, 111380728, 111722616
  5403,  16,  16384,  34784,   3,   2,   1, 111639456, 110799856, 105426368, 110152144, 110775336
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  5405,  16,  16384,   6628,   2,  16,   3, 110764712, 110277240, 110171824, 104666032, 114319040
  5406,  16,  16384,  22827,  16,  18,   3, 115627144, 115609864, 114269040, 115307656, 112605736
  5407,  16,  16384,   7296,  18,  19,   1, 111339200, 112371648, 112260496, 111502216, 113352960
  5408,  16,  16384,  49448,  19,  18,   1, 112444800, 113304208, 113327168, 112069232, 112566016
  5409,  16,  16384,   2321,  18,  18,   0, 112371568, 111143856, 112440096, 112655440, 112807936
  5410,  16,  16384,  29791,  18,  18,   0, 111252568, 111370264, 111496144, 112034880, 112819416
  5411,  16,  16384,  29874,  18,  22,   2, 112310328, 106344376, 112290744, 112384872, 112105600
  5412,  16,  16384,   9497,  22,  23,   1, 107524400, 111423912, 111038528, 110992848, 113331432
  5413,  16,  16384,  48538,  23,  23,   0, 112259848, 111689032, 111701752, 113317976, 107589008
  5414,  16,  16384,     33,  23,  23,   0, 113316400, 113068768, 113051568, 112588568, 112687328
  5415,  16,  16384,  26594,  23,  23,   0, 113550824, 113075320, 111925192, 112906424, 111906400
  5416,  16,  16384,  33104,  23,  19,   2, 113531136, 113223424, 113299320, 107587424, 113246440
  5417,  16,  16384,  43304,  19,  19,   0, 112239368, 113300272, 113156496, 107643224, 112683000
  5418,  16,  16384,  43401,  19,  19,   0, 112653256, 111784720, 113251376, 113275264, 113245360
  5419,  16,  16384,  35763,  19,  19,   0, 113449352, 113080528, 111943176, 113385832, 112719128
  5420,  16,  16384,  39867,  19,  22,   2, 107129592, 111769320, 111989832, 112718904, 112332104
  5421,  16,  16384,   1159,  22,  12,   3, 105456336, 111724320, 110230144, 112466400, 113709432
  5422,  16,  16384,  36454,  12,  13,   1, 113962760, 112533576, 113665792, 112710504, 113799800
  5423,  16,  16384,  10053,  13,  13,   0, 114469968, 113117120, 114008840, 114163432, 108236008
  5424,  16,  16384,  21548,  13,  12,   1, 114357928, 113096928, 114087296, 114444928, 113676064
  5425,  16,  16384,  21012,  12,  12,   0, 112692424, 112586912, 113819768, 113701456, 113470240
  5426,  16,  16384,  46074,  12,   6,   3, 113870272, 113828880, 107361608, 113207144, 110425864
  5427,  16,  16384,  12864,   6,   7,   1, 110168512, 109944480, 110220592, 104144824, 111525320
  5428,  16,  16384,   7184,   7,   6,   1, 111454664, 111361824, 111364176, 111765104, 109030872
  5429,  16,  16384,  35907,   6,   7,   1, 110329264, 109970112, 110200056, 110147168, 111495480
  5430,  16,  16384,  22952,   7,   7,   0, 111531640, 111324896, 111618864, 111116704, 111555728
  5431,  16,  16384,  37409,   7,   6,   1, 111288920, 111239232, 110064264, 111619520, 110265808
  5432,  16,  16384,  30894,   6,   6,   0, 110275800, 108654856, 104524704, 110579824, 109968128
  5433,  16,  16384,  32300,   6,   3,   3, 110353184, 110132936, 110113424, 108597024, 111718024
  5434,  16,  16384,  13790,   3,   3,   0, 107843056, 111353592, 111572520, 111372008, 111437920
  5435,  16,  16384,  29926,   3,  19,   3, 111699416, 111402584, 111165800, 105634304, 112139384
  5436,  16,  16384,  43035,  19,  18,   1, 113604624, 113300952, 111934104, 107729504, 112841352
  5437,  16,  16384,   4547,  18,  15,   3, 111230456, 111197640, 112393768, 112381800, 110422632
  5438,  16,  16384,  21654,  15,  12,   2, 110824776, 111626720, 111621576, 111656112, 113680280
  5439,  16,  16384,   3405,  12,  13,   1, 112594568, 112611240, 112645688, 113691024, 108227152
  5440,  16,  16384,  27748,  13,  13,   0, 114284648, 114012136, 113897624, 112927312, 114153448
  5441,  16,  16384,   7695,  13,   9,   3, 113305024, 114208648, 113222976, 112963784, 114344616
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  5443,  16,  16384,   8670,   7,   6,   1, 111593000, 111184592, 110363272, 110691224, 110091632
  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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  5450,  16,  16384,  21230,  16,  22,   3, 115323512, 115360640, 115379104, 115186224, 112484880
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  5454,  16,  16384,  39056,  18,  23,   2, 112557352, 112383048, 112384816, 112317160, 113509048
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  5456,  16,  16384,  10878,  23,  16,   3, 113620472, 107426032, 113136552, 113250376, 115727248
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  5460,  16,  16384,   3984,  17,  13,   2, 115949872, 115687904, 114410112, 115737592, 113123176
  5461,  16,  16384,  27111,  13,  20,   3, 114504224, 113848592, 113927592, 113870768, 115416616
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  5470,  16,  16384,  24845,   4,   4,   0, 114202688, 112371440, 113882936, 112834640, 114152392
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  5474,  16,  16384,  41707,   6,   7,   1, 110160920, 110337848, 109935920, 109893504, 110548344
  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
  5487,  16,  16384,  39849,   7,   0,   3, 111633880, 111513416, 111407528, 111228768, 112967336
  5488,  16,  16384,   5269,   0,  20,   3, 113999400, 107510992, 113467968, 113515432, 115542312
  5489,  16,  16384,   9980,  20,  20,   0, 109940072, 115344744, 114177192, 115659800, 115568328
  5490,  16,  16384,  29724,  20,   5,   3, 115389912, 114105400, 114168480, 115411760, 113313208
  5491,  16,  16384,  32077,   5,   2,   2, 112700480, 113725592, 113432992, 113765528, 109886360
  5492,  16,  16384,  26599,   2,   2,   0, 111069176, 110831544, 110938952, 110784376, 108299952
  5493,  16,  16384,   9835,   2,   1,   2, 110790872, 110746928, 104850584, 110893944, 113972152
  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
  5497,  16,  16384,  25454,  14,  14,   0, 110885464, 110904360, 110599464, 109596216, 109956936
  5498,  16,  16384,  22260,  14,  16,   2, 110818360, 109695784, 110843648, 110958160, 109762920
  5499,  16,  16384,    488,  16,   0,   3, 115532136, 114099720, 114171472, 115302048, 113772456
  5500,  16,  16384,   5099,   0,   1,   1, 107720384, 113449648, 113503288, 113528648, 114051832
  5501,  16,  16384,  14935,   1,  17,   3, 114217864, 113513888, 113288368, 113907624, 115791896
  5502,  16,  16384,  20640,  17,   4,   3, 116338816, 114386920, 116042144, 115744648, 114256152
  5503,  16,  16384,  10073,   4,   3,   2, 113850808, 113627392, 112545312, 113578120, 111255704
  5504,  16,  16384,  21544,   3,   2,   1, 111489480, 111262816, 110734016, 111171336, 109452568
  5505,  16,  16384,   7695,   2,   2,   0, 105102792, 110724776, 110669728, 110692048, 108426416
  5506,  16,  16384,  25243,   2,   2,   0, 109646816, 110448144, 110949568, 110623928, 110810672
  5507,  16,  16384,   6963,   2,   3,   1, 110836312, 110635944, 109499840, 110865888, 109870760
  5508,  16,  16384,   7946,   3,   3,   0, 105524880, 111221208, 111217048, 111449248, 111378272
  5509,  16,  16384,  46554,   3,   0,   2, 111436192, 110089528, 111614056, 110067416, 113610776
  5510,  16,  16384,  40189,   0,   1,   1, 113954920, 113700128, 111574216, 108044344, 113015520
  5511,  16,  16384,  12959,   1,   0,   1, 114255184, 113822920, 112878024, 113769896, 113387496
  5512,  16,  16384,  42866,   0,   0,   0, 113995392, 113861520, 113802784, 113009296, 107783984
  5513,  16,  16384,   1791,   0,   2,   2, 113701688, 113826288, 112608664, 112539464, 110942464
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  5546,  16,  16384,   2409,   1,  23,   3, 114214632, 113740224, 113964016, 113905760, 112938464
  5547,  16,  16384,  12094,  23,  22,   1, 106284640, 111860232, 113353520, 113193360, 112644304
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  5549,  16,  16384,  45395,  18,  20,   2, 112776464, 112387648, 112607736, 112691384, 115768664
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  5557,  16,  16384,  45322,   4,  19,   3, 114098456, 112918072, 113472936, 113507872, 112288136
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  5559,  16,  16384,  16505,  21,  23,   2, 116057384, 115616632, 115774224, 115992832, 113352024
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  5565,  16,  16384,   5125,  12,  12,   0, 112883432, 113446072, 113374448, 112622568, 113661168
  5566,  16,  16384,  38385,  12,  16,   2, 112581032, 107607544, 113633856, 113679152, 115564192
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  5570,  16,  16384,  41732,   1,  16,   3, 114051912, 113871688, 113814896, 114154352, 115190152
  5571,  16,  16384,  33376,  16,  17,   1, 115654640, 114987432, 109334032, 115309192, 114441904
  5572,  16,  16384,  33930,  17,  17,   0, 114906176, 115780448, 115727608, 115985896, 116449680
  5573,  16,  16384,  14260,  17,  22,   3, 114819704, 115754744, 110153408, 115722792, 107032456
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  5575,  16,  16384,  11357,  22,  21,   2, 111427952, 112370408, 112403344, 111454320, 115932584
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  5579,  16,  16384,  38777,  22,  12,   3, 112472112, 110939920, 112116752, 111378216, 113755480
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  5581,  16,  16384,  35980,  13,   6,   3, 114464192, 107885336, 113945728, 114167128, 110120536
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  5583,  16,  16384,  34779,  10,  10,   0, 111042424, 109763696, 109748264, 109912584, 109790512
  5584,  16,  16384,  16779,  10,  11,   1, 110978376, 104760512, 110735392, 110522592, 111522088
  5585,  16,  16384,  27510,  11,   6,   2, 111643840, 111097384, 111407472, 111499648, 108949128
  5586,  16,  16384,  33004,   6,  15,   3, 110364152, 104393904, 110032344, 108812552, 111526136
  5587,  16,  16384,     44,  15,  14,   1, 111880904, 111327744, 111322944, 111277024, 111042192
  5588,  16,  16384,  22799,  14,   2,   3, 110865488, 109558096, 109509968, 110881256, 104669160
  5589,  16,  16384,   2251,   2,   2,   0, 110747168, 110898592, 110894808, 110784664, 110169912
  5590,  16,  16384,  23920,   2,  12,   3, 109287416, 111097936, 111017208, 110644344, 113801112
  5591,  16,  16384,  29456,  12,  12,   0, 111297264, 107276792, 113510584, 112447968, 113855696
  5592,  16,  16384,  31339,  12,  19,   3, 113692400, 113916176, 112598416, 113835072, 111885104
  5593,  16,  16384,   5816,  19,  18,   1, 113305712, 107414632, 111798184, 113051632, 112454704
  5594,  16,  16384,  22547,  18,   2,   3, 112583784, 112376568, 111097632, 111086656, 111060616
  5595,  16,  16384,   8103,   2,   0,   2, 110730728, 110598472, 110890592, 110842512, 106735216
  5596,  16,  16384,  46154,   0,   1,   1, 112567024, 113316136, 111435488, 113720792, 113835776
  5597,  16,  16384,  20837,   1,   0,   1, 112775880, 114006472, 112993792, 113812872, 113644312
  5598,  16,  16384,  20552,   0,   1,   1, 113969816, 106174912, 112493544, 112751896, 113078504
  5599,  16,  16384,  40564,   1,   1,   0, 112499848, 109152840, 112760712, 114165592, 114191096
  5600,  16,  16384,  23180,   1,   1,   0, 114336992, 114060464, 113049672, 113845448, 114344760
  5601,  16,  16384,  18230,   1,   1,   0, 114177272, 112708704, 113950560, 108315560, 112901456
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  5603,  16,  16384,  43753,   4,   5,   1, 113804864, 113193120, 105358840, 113635456, 113997984
  5604,  16,  16384,  33110,   5,   2,   2, 114094896, 113851464, 112281296, 113948208, 105038192
  5605,  16,  16384,  49267,   2,   0,   2, 111098360, 109671120, 110843200, 108374552, 107923600
  5606,  16,  16384,   5556,   0,  20,   3, 113999200, 113755704, 113705376, 113730160, 115570056
  5607,  16,  16384,  33862,  20,  20,   0, 115842728, 115279544, 114139760, 114838472, 115488512
  5608,  16,  16384,  42486,  20,   2,   3, 115387544, 109556288, 114203464, 115446064, 110768656
  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
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  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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  5627,  16,  16384,  38422,   1,  11,   3, 114236032, 112618056, 111798288, 114039632, 111404680
  5628,  16,  16384,  47853,  11,  10,   1, 111629992, 111548136, 111404840, 111472752, 109587360
  5629,  16,  16384,  25994,  10,   5,   3, 110920352, 110626704, 110591704, 110439320, 114009408
  5630,  16,  16384,    678,   5,  13,   3, 114206992, 114273696, 113866568, 114019680, 114423112
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  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
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  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
  5656,  16,  16384,  10177,  17,  14,   2, 116065776, 115908016, 115533128, 115747168, 111001944
  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
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  5688,  16,  16384,  18944,  19,  22,   2, 113768176, 113433088, 113022624, 110692096, 112730320
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  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
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  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
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  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
  5742,  16,  16384,  43012,   9,   1,   3, 112343944, 114170424, 113990640, 114126856, 114092520
  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
  5751,  16,  16384,  48712,  23,  15,   3, 113556408, 113299584, 113176256, 113313608, 111733064
  5752,  16,  16384,  14486,  15,   1,   3, 111818520, 110444600, 111676792, 111622128, 114299448
  5753,  16,  16384,   9844,   1,   1,   0, 113895352, 113751464, 114096496, 113032232, 114408768
  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
  5758,  16,  16384,  44845,  21,  18,   2, 116306888, 115764888, 116143456, 115895416, 112673024
  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
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  5850,  16,  16384,  34591,   9,   8,   1, 114102320, 112965672, 114098048, 114108240, 113880136
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  5860,  16,  16384,  13972,   5,   3,   2, 113910272, 113996872, 111740648, 113661976, 111830056
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  5875,  16,  16384,  49844,   3,   2,   1, 111142472, 110627992, 111474456, 111295112, 109582648
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  5877,  16,  16384,  17478,   2,   3,   1, 110804136, 110512864, 110964136, 110809416, 111552080
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  5879,  16,  16384,  31898,   3,   2,   1, 111528192, 111387400, 111391104, 111204312, 111000800
  5880,  16,  16384,  31448,   2,   3,   1, 111148304, 110737384, 109746464, 109863200, 105522152
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  5885,  16,  16384,  49734,   5,   5,   0, 112897432, 113963056, 112662848, 113775248, 114140304
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  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
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  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
  5903,  16,  16384,   2898,  18,  19,   1, 111539792, 112418656, 110703984, 110540656, 113623064
  5904,  16,  16384,   1424,  19,   3,   3, 113823760, 113478360, 113233584, 110683696, 110070704
  5905,  16,  16384,  46462,   3,   3,   0, 111749088, 111274080, 110106048, 111412648, 111807872
  5906,  16,  16384,  11389,   3,  19,   3, 105656064, 111179688, 111392336, 111195744, 113492056
  5907,  16,  16384,  23650,  19,  17,   3, 111981552, 108684952, 111636904, 113200520, 114887776
  5908,  16,  16384,   5182,  17,  17,   0, 116153768, 115840328, 115443336, 116152624, 114671888
  5909,  16,  16384,  17531,  17,  14,   2, 116003208, 114675152, 115974408, 116027880, 111246472
  5910,  16,  16384,  11469,  14,   1,   3, 109266720, 110537360, 104117232, 110451168, 113904400
  5911,  16,  16384,  20310,   1,   3,   2, 114114824, 111345440, 114184224, 114138472, 111517616
  5912,  16,  16384,  29035,   3,   0,   2, 110325784, 111647808, 111601096, 111430920, 113988288
  5913,  16,  16384,  14516,   0,   1,   1, 110578456, 110592744, 113679552, 113370024, 114006960
  5914,  16,  16384,  39896,   1,   3,   2, 108012440, 114091200, 114146688, 113555792, 110165640
  5915,  16,  16384,  26407,   3,   1,   2, 111411104, 107724792, 108577896, 111422512, 112426040
  5916,  16,  16384,  24402,   1,   1,   0, 113591240, 113850936, 107658376, 114095856, 114081096
  5917,  16,  16384,   8340,   1,   5,   2, 114143416, 113598624, 111979776, 113922216, 114164088
  5918,  16,  16384,    243,   5,   5,   0, 114349112, 112314488, 107654656, 113034416, 114306568
  5919,  16,  16384,  24449,   5,   5,   0, 114090512, 114016024, 113455904, 114002632, 112871936
  5920,  16,  16384,  48811,   5,   3,   2, 113369952, 114142504, 113992520, 114162248, 111720224
  5921,  16,  16384,  25216,   3,   2,   1, 111758752, 110212632, 111227360, 110481112, 111057200
  5922,  16,  16384,  28168,   2,  23,   3, 109483424, 110755424, 110848592, 109249344, 112123376
  5923,  16,  16384,  25048,  23,  22,   1, 113284816, 112807616, 113002072, 113053160, 103849592
  5924,  16,  16384,  36383,  22,  23,   1, 112745032, 112519808, 111236232, 111196760, 113526496
  5925,  16,  16384,  28076,  23,   6,   3, 107244984, 112500288, 113316112, 113166152, 110117064
  5926,  16,  16384,  28869,   6,   7,   1, 109199888, 108987064, 110051096, 108998728, 111644112
  5927,  16,  16384,  13505,   7,   6,   1, 105534040, 111252824, 110338456, 110246008, 110117496
  5928,  16,  16384,   1589,   6,   9,   2, 110129144, 108745792, 109049168, 108883952, 114441272
  5929,  16,  16384,  13137,   9,   8,   1, 108651280, 113507088, 113329144, 114063856, 112853264
  5930,  16,  16384,  10044,   8,   5,   3, 113795304, 113614880, 113971056, 112491288, 113006712
  5931,  16,  16384,  33578,   5,   4,   1, 114160152, 114207520, 114042640, 112888752, 113684384
  5932,  16,  16384,   1893,   4,   4,   0, 113645448, 107471656, 114153800, 113721152, 113534712
  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
  5936,  16,  16384,  30728,  14,   8,   3, 110769696, 109997104, 111000264, 110855568, 113817456
  5937,  16,  16384,  42696,   8,   7,   2, 112603128, 113556888, 113553336, 113953504, 111692096
  5938,  16,  16384,  33257,   7,   7,   0, 111472888, 105457944, 111115136, 111476768, 111403616
  5939,  16,  16384,  45148,   7,  15,   3, 110423272, 111084432, 111299000, 111346864, 111758936
  5940,  16,  16384,   8322,  15,   6,   3, 110370544, 110730176, 110757928, 110263424, 109020232
  5941,  16,  16384,   2453,   6,   4,   3, 110126536, 109913680, 110230888, 110161112, 114006024
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  5956,  16,  16384,  27241,  10,  11,   1, 109675496, 109773640, 109928760, 110779144, 111638016
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  5960,  16,  16384,  41960,  22,  23,   1, 111366184, 111761200, 111984344, 111901480, 112219080
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  5964,  16,  16384,  31908,  10,  11,   1, 111107536, 110860712, 110849376, 110809952, 110404296
  5965,  16,  16384,   2390,  11,  10,   1, 111562624, 110324152, 111406824, 111525208, 111099944
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  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
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  5972,  16,  16384,  48824,  16,  17,   1, 115199688, 114390248, 115476304, 112759848, 116133320
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  5975,  16,  16384,  11152,   6,  18,   3, 110300496, 110075752, 108981848, 104317648, 112072168
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  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
  5989,  16,  16384,  35721,   4,   0,   2, 113806016, 113716048, 112814944, 113743376, 113709120
  5990,  16,  16384,  32257,   0,   1,   1, 112666536, 112464224, 113352344, 113941456, 114529024
  5991,  16,  16384,  37540,   1,  21,   3, 113084720, 112950376, 113962080, 113614552, 116056824
  5992,  16,  16384,   6622,  21,  20,   1, 115128432, 109989536, 115822080, 115507344, 115678768
  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
  5998,  16,  16384,  25611,  22,  23,   1, 111488736, 112533688, 112854000, 112424032, 112148744
  5999,  16,  16384,   8444,  23,  22,   1, 113431464, 110534872, 113579544, 107390104, 112522992
  6000,  16,  16384,   2961,  22,  22,   0, 106756128, 112171624, 111533912, 112348496, 112649752
  6001,  16,  16384,   7863,  22,  19,   2, 112520664, 111374312, 111019512, 112418928, 113396800
  6002,  16,  16384,  47339,  19,  23,   2, 113178608, 113079312, 113056896, 113195000, 107504872
  6003,  16,  16384,   1251,  23,  23,   0, 113167824, 112580872, 112482008, 111713312, 113411208
  6004,  16,  16384,  44030,  23,  22,   1, 111124232, 113330104, 113091184, 113144336, 106845648
  6005,  16,  16384,  33716,  22,  14,   3, 111325264, 112344880, 112360784, 112230680, 103794392
  6006,  16,  16384,  41066,  14,  22,   3, 110780248, 111131672, 110890000, 109757048, 112662400
  6007,  16,  16384,  36199,  22,  22,   0, 112506232, 112226728, 106536784, 112500712, 112513672
  6008,  16,  16384,  23471,  22,  16,   3, 112672112, 108389920, 112705656, 112246120, 115464088
  6009,  16,  16384,  34420,  16,  19,   3, 115162224, 114949456, 114886064, 108008440, 112322648
  6010,  16,  16384,  42613,  19,  19,   0, 113675616, 105767144, 111893176, 112541088, 113479240
  6011,  16,  16384,  11408,  19,  20,   2, 113471168, 113116680, 113230952, 113086264, 114048848
  6012,  16,  16384,   6763,  20,  12,   3, 106557952, 115475944, 115636976, 115101000, 112734152
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  6313,  16,  16384,  47516,  13,  17,   2, 114524024, 114106648, 114077776, 113961176, 116008472
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  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
  6322,  16,  16384,  29341,  19,  20,   2, 112270568, 113038016, 113248912, 107568296, 114287816
  6323,  16,  16384,  47185,  20,  20,   0, 114173144, 113888064, 115701080, 115316904, 114425720
  6324,  16,  16384,  23149,  20,  16,   3, 115640248, 115388576, 115213480, 115484208, 115705360
  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
  6333,  16,  16384,  12134,  16,  13,   2, 115497264, 115487472, 114075000, 114149960, 113322584
  6334,  16,  16384,  20275,  13,  12,   1, 113455136, 113350504, 114196888, 114154104, 113812032
  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
  6338,  16,  16384,  29852,   5,   2,   2, 113951784, 114080208, 114063960, 113548792, 104717520
  6339,  16,  16384,  17897,   2,   0,   2, 110905744, 110843472, 110890592, 110748064, 113898656
  6340,  16,  16384,   1788,   0,   1,   1, 111426192, 113579024, 113848168, 113552080, 113863864
  6341,  16,  16384,  24940,   1,   0,   1, 112790680, 114121248, 113028920, 113627664, 112737472
  6342,  16,  16384,  14089,   0,   3,   2, 113742912, 113433848, 112391744, 112443800, 111787680
  6343,  16,  16384,  39088,   3,   5,   2, 111338576, 111250944, 110098032, 111405976, 112876480
  6344,  16,  16384,  21912,   5,   1,   2, 113113664, 113027880, 108096216, 114051904, 114195448
  6345,  16,  16384,   4022,   1,   3,   2, 108118592, 113956008, 113899368, 113742168, 111599200
  6346,  16,  16384,  11107,   3,   3,   0, 109599016, 105052928, 110162832, 111554432, 111585496
  6347,  16,  16384,  22037,   3,   2,   1, 111341888, 111163120, 111718312, 111313808, 110888704
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  6424,  16,  16384,   9034,  14,  15,   1, 110860480, 110922136, 109591432, 110075552, 110217528
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  6427,  16,  16384,   6814,  13,  17,   2, 114293248, 112830432, 114056688, 114073976, 116162992
  6428,  16,  16384,  45789,  17,  13,   2, 108437816, 115806128, 115690408, 115974736, 108243328
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  6498,  16,  16384,  48462,  22,  23,   1, 112748336, 112406096, 112389200, 112371416, 113641728
  6499,  16,  16384,  44814,  23,  22,   1, 113129816, 113120248, 107258120, 112924304, 112550392
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  6501,  16,  16384,  44572,  23,  23,   0, 113210240, 113237648, 113031488, 113067864, 107665344
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  6508,  16,  16384,   3248,   4,   4,   0, 113978664, 113816080, 113887952, 112281848, 113980872
  6509,  16,  16384,   8920,   4,  19,   3, 112830072, 113882208, 113820464, 113886488, 113194904
  6510,  16,  16384,   5769,  19,   2,   3, 113607864, 113227280, 113121200, 113220528, 110952336
  6511,  16,  16384,  39436,   2,   8,   3, 110835624, 110954704, 110778152, 110606144, 114090128
  6512,  16,  16384,  20458,   8,  18,   3, 113170648, 113737976, 112500424, 113674552, 112997840
  6513,  16,  16384,   8957,  18,  15,   3, 112796184, 112330232, 112440072, 111087928, 110546144
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  6518,  16,  16384,   3082,   7,   6,   1, 111728320, 110504984, 111378064, 107787248, 110273432
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  6520,  16,  16384,  43635,   6,  10,   2, 110214632, 109919200, 110015872, 109987576, 110007584
  6521,  16,  16384,  48101,  10,   9,   2, 108932248, 110784376, 109755448, 110610904, 114249736
  6522,  16,  16384,  24079,   9,   8,   1, 114429328, 111860712, 113707048, 113507840, 113834176
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  6527,  16,  16384,  37988,   1,   2,   2, 113664608, 113112352, 114002320, 112907640, 109543584
  6528,  16,  16384,  12483,   2,  15,   3, 110932304, 108479408, 111065552, 104827208, 111482472
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  6532,  16,  16384,  36836,   2,  19,   3, 110798248, 110865656, 110599896, 110632800, 113218720
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  6534,  16,  16384,  31697,  18,  21,   2, 111603920, 112407432, 112481816, 112434256, 116367944
  6535,  16,  16384,  29276,  21,  20,   1, 114913808, 115755984, 115940184, 116115520, 109818760
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  6540,  16,  16384,   2444,   2,  11,   3, 103305624, 109525512, 109609232, 109419224, 110334480
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  6547,  16,  16384,    526,   5,   4,   1, 114143488, 113824024, 112641432, 114011704, 113948968
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  6549,  16,  16384,  31676,   4,   5,   1, 113883520, 113651408, 111432456, 113703152, 112880208
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  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
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  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
  6569,  16,  16384,  48861,   5,  19,   3, 114332176, 114085720, 112496104, 114112496, 113278088
  6570,  16,  16384,  21929,  19,  18,   1, 112272848, 113029488, 112959648, 113427008, 111989696
  6571,  16,  16384,  21815,  18,  16,   3, 112461096, 112394648, 111049552, 112391304, 115582448
  6572,  16,  16384,  30820,  16,   2,   3, 115624080, 114943424, 114461784, 114344216, 110931616
  6573,  16,  16384,  24169,   2,   1,   2, 109757808, 110601024, 110532496, 108499112, 112728808
  6574,  16,  16384,  35740,   1,   2,   2, 114004504, 113795736, 105722080, 114030560, 109351528
  6575,  16,  16384,  20411,   2,  18,   3, 106700432, 110989376, 109286176, 110779840, 111950856
  6576,  16,  16384,   8103,  18,  18,   0, 111720544, 112023272, 111294072, 112326064, 112416248
  6577,  16,  16384,  26101,  18,   9,   3, 112688256, 111503168, 112555544, 111221640, 114048736
  6578,  16,  16384,  47364,   9,   8,   1, 114330464, 113027384, 114185896, 113992160, 114070992
  6579,  16,  16384,   3160,   8,   9,   1, 112081416, 111523616, 108806992, 113760088, 114103928
  6580,  16,  16384,  43520,   9,   8,   1, 114356520, 114277960, 114053880, 112905656, 112837456
  6581,  16,  16384,  29279,   8,   7,   2, 113949208, 113827456, 112729464, 112503552, 111466400
  6582,  16,  16384,    537,   7,   6,   1, 111585064, 105295232, 111386480, 111371728, 110098040
  6583,  16,  16384,  41764,   6,   1,   3, 109177520, 109911824, 109981608, 110072920, 114216040
  6584,  16,  16384,  47015,   1,   1,   0, 113811264, 114132544, 113947488, 113960776, 114200656
  6585,  16,  16384,  24167,   1,   1,   0, 114244600, 112954360, 112820048, 114045600, 109557456
  6586,  16,  16384,  39096,   1,   0,   1, 110980376, 113871696, 114046032, 113869408, 114108392
  6587,  16,  16384,  42945,   0,   1,   1, 114002504, 113749184, 113591040, 107752896, 114255584
  6588,  16,  16384,  45513,   1,  19,   3, 112701832, 107041264, 113951384, 113752064, 113388520
  6589,  16,  16384,  44041,  19,  18,   1, 113410184, 112961952, 103973216, 113305360, 112647688
  6590,  16,  16384,  49747,  18,  19,   1, 112701592, 112335232, 112034024, 111672152, 113443136
  6591,  16,  16384,   5660,  19,  18,   1, 113460072, 112943296, 110867824, 108137536, 112442768
  6592,  16,  16384,  35685,  18,  21,   2, 112698520, 112298856, 112695568, 112378880, 115928192
  6593,  16,  16384,  44363,  21,  21,   0, 115842408, 114594576, 115736088, 115983080, 116126464
  6594,  16,  16384,  33008,  21,   7,   3, 116352880, 114824824, 115887576, 115961808, 111453704
  6595,  16,  16384,  36519,   7,  13,   3, 105315760, 111044456, 111119704, 111249488, 114259624
  6596,  16,  16384,  32189,  13,  16,   2, 113156904, 114098216, 112212760, 109816592, 114148192
  6597,  16,  16384,  44894,  16,  17,   1, 114432968, 115255040, 115414264, 114487192, 115547936
  6598,  16,  16384,  32575,  17,  12,   2, 116281032, 115971808, 110091968, 116015360, 114000832
  6599,  16,  16384,  17093,  12,  17,   2, 113756088, 107603696, 113369576, 113572696, 114836400
  6600,  16,  16384,  12259,  17,  17,   0, 114719464, 116058784, 115919896, 115918992, 110254168
  6601,  16,  16384,  14059,  17,  19,   3, 114591176, 116109536, 115894712, 114394568, 112489008
  6602,  16,  16384,  38461,  19,  18,   1, 113580552, 113187616, 110449520, 113208736, 112417944
  6603,  16,  16384,  21158,  18,   9,   3, 112643888, 112309192, 112372632, 111837752, 112999096
  6604,  16,  16384,  19252,   9,   6,   2, 114224024, 114137672, 113979992, 111659096, 110482496
  6605,  16,  16384,  25494,   6,   7,   1, 110123136, 110169960, 109869976, 110082648, 111451896
  6606,  16,  16384,  11339,   7,   6,   1, 105606016, 111367872, 111314288, 111084976, 107860400
  6607,  16,  16384,  36386,   6,   7,   1, 110253264, 109142520, 110092104, 109879024, 110208528
  6608,  16,  16384,  14070,   7,   6,   1, 111501176, 111653160, 105086528, 111345576, 110319040
  6609,  16,  16384,  45112,   6,   6,   0, 108942480, 108993048, 110009560, 108736648, 110392240
  6610,  16,  16384,  37315,   6,   3,   3, 110186624, 110230456, 110102528, 109868224, 111478792
  6611,  16,  16384,  35015,   3,   0,   2, 111375128, 111280512, 110590792, 109556552, 112281440
  6612,  16,  16384,  17351,   0,   3,   2, 107781112, 113349616, 113361848, 113582360, 111319616
  6613,  16,  16384,  39254,   3,   3,   0, 111200808, 111160064, 111208656, 111169952, 111648288
  6614,  16,  16384,  36175,   3,   3,   0, 111462448, 111418224, 111384240, 110278096, 110262336
  6615,  16,  16384,  10214,   3,   0,   2, 105438200, 111297576, 110989176, 111579216, 112774536
  6616,  16,  16384,  49967,   0,   1,   1, 113839520, 113748096, 113110928, 111681672, 113736376
  6617,  16,  16384,   7676,   1,   3,   2, 114350384, 106449000, 114040728, 113882688, 111311504
  6618,  16,  16384,   2612,   3,   3,   0, 111573632, 111570000, 109044672, 111510936, 111471072
  6619,  16,  16384,   8649,   3,   2,   1, 111602672, 111525560, 110170936, 111591080, 109653136
  6620,  16,  16384,  46992,   2,   2,   0, 110967864, 109748576, 110672856, 109720848, 109493344
  6621,  16,  16384,  36809,   2,   3,   1, 111040176, 110694048, 104823208, 110547040, 111537120
  6622,  16,  16384,  39946,   3,   3,   0, 103212712, 111543376, 111463000, 111632240, 111500120
  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
  6641,  16,  16384,  39040,  21,  20,   1, 115984600, 115850952, 114395504, 115762288, 115370112
  6642,  16,  16384,  47158,  20,  21,   1, 114915408, 114754416, 108353296, 115379016, 114726224
  6643,  16,  16384,  49460,  21,  20,   1, 110161000, 115648320, 115517856, 114572736, 115419904
  6644,  16,  16384,  28607,  20,  21,   1, 115399552, 113659760, 115308864, 108252520, 116276144
  6645,  16,  16384,  40112,  21,  20,   1, 115302160, 115092776, 109921728, 115631600, 115530952
  6646,  16,  16384,  19263,  20,  20,   0, 115916144, 115562632, 115664160, 114323904, 114465264
  6647,  16,  16384,  37395,  20,   9,   3, 110064720, 115348032, 115237936, 113953208, 107984048
  6648,  16,  16384,   8246,   9,   7,   2, 114289664, 113978272, 114159160, 114407528, 105256192
  6649,  16,  16384,  17485,   7,  10,   2, 111358248, 110102448, 111357416, 111196904, 104783680
  6650,  16,  16384,  30139,  10,  18,   3, 109947576, 109896880, 110833032, 110966880, 111727240
  6651,  16,  16384,  38290,  18,  13,   3, 112402912, 112331064, 110193048, 108808496, 114318704
  6652,  16,  16384,  49292,  13,  12,   1, 114150672, 114045656, 112803784, 114017864, 113696712
  6653,  16,  16384,  38165,  12,  12,   0, 114080344, 113582728, 112085608, 107372152, 113747592
  6654,  16,  16384,   6495,  12,  17,   2, 112916824, 112592536, 112407496, 113636080, 116304768
  6655,  16,  16384,  40893,  17,   5,   3, 114614136, 115869056, 115892000, 115659344, 112621832
  6656,  16,  16384,  15139,   5,   5,   0, 114371760, 113676304, 114071752, 114101272, 114149992
  6657,  16,  16384,  47476,   5,   2,   2, 114132736, 113797024, 113001344, 113923768, 110897376
  6658,  16,  16384,  26336,   2,   2,   0, 109495656, 109437400, 110445832, 109646000, 111002600
  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
  6662,  16,  16384,  38767,   5,   5,   0, 114166792, 114332208, 114293080, 111372432, 114146256
  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
  6666,  16,  16384,  27601,   7,   5,   3, 111245552, 105117384, 111438832, 111214512, 114049416
  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
  6671,  16,  16384,  29089,  20,  18,   2, 114195984, 115494096, 115301600, 115229112, 112670592
  6672,  16,  16384,  11652,  18,  18,   0, 112733720, 112523960, 112432712, 112482488, 111487584
  6673,  16,  16384,  35702,  18,  19,   1, 112726352, 112191952, 112431712, 112044128, 113499464
  6674,  16,  16384,   1750,  19,  22,   2, 104713984, 113086624, 111824968, 113214328, 112467128
  6675,  16,  16384,  12064,  22,  20,   2, 112434296, 111001680, 106490880, 112405928, 115556944
  6676,  16,  16384,  39041,  20,  21,   1, 115389584, 115515208, 115177328, 114134168, 115977168
  6677,  16,  16384,   7384,  21,  21,   0, 116125328, 115779496, 115749848, 115895712, 115978792
  6678,  16,  16384,  23049,  21,  21,   0, 115145384, 115947000, 115879032, 114442024, 115074864
  6679,  16,  16384,  34717,  21,  18,   2, 115941560, 114725248, 110243824, 115859032, 112333848
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  6709,  16,  16384,   3502,   2,   3,   1, 109594144, 110907768, 110459920, 110899736, 111617264
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  6713,  16,  16384,   7845,   2,  10,   3, 111071424, 110868672, 110849656, 110491104, 109552872
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  6715,  16,  16384,  26222,  16,  15,   2, 115631112, 112438496, 115727896, 115407504, 111761560
  6716,  16,  16384,  36018,  15,  13,   2, 110585280, 111454064, 111603888, 111248896, 114210976
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  6721,  16,  16384,  25748,  16,   7,   3, 115863712, 115543720, 115455040, 108441264, 110405944
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  6723,  16,  16384,  20458,   4,   4,   0, 113728080, 113863032, 113909848, 113520056, 112483288
  6724,  16,  16384,  43651,   4,  20,   3, 106455672, 114191600, 111264472, 113434288, 114308824
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  6727,  16,  16384,  46717,  22,  22,   0, 112495248, 112214864, 112462832, 112411504, 111279544
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  6730,  16,  16384,  27213,  21,  20,   1, 110459592, 115850192, 115906488, 115601592, 115541104
  6731,  16,  16384,   3165,  20,  20,   0, 114323120, 109650328, 112761456, 115253312, 115269896
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  6738,  16,  16384,  41492,  13,  15,   2, 114342312, 114301336, 113675592, 107452528, 110661488
  6739,  16,  16384,  32461,  15,  15,   0, 112018144, 111191296, 105322240, 111627800, 111696104
  6740,  16,  16384,  45003,  15,  14,   1, 111568080, 111208088, 111455384, 111299832, 110966280
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  6747,  16,  16384,  47160,  11,   6,   2, 111675280, 111389112, 111375000, 111250872, 110040288
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  6755,  16,  16384,  48929,  15,  10,   3, 111675232, 110180880, 111600984, 110527968, 111074144
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  6757,  16,  16384,  22582,  11,   7,   2, 111653824, 111429240, 111311744, 110300848, 110511168
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  6761,  16,  16384,  41113,  12,  12,   0, 112772360, 113387232, 113346792, 113762376, 113969552
  6762,  16,  16384,  48391,  12,  18,   3, 112588240, 113853896, 113494992, 113487408, 112537256
  6763,  16,  16384,   8721,  18,  20,   2, 111712016, 112544184, 112621728, 112330648, 115827944
  6764,  16,  16384,  29702,  20,  15,   3, 114315160, 114476688, 115531560, 115121424, 111638240
  6765,  16,  16384,  13250,  15,  13,   2, 111561488, 111770000, 110230088, 111744200, 113500920
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  6769,  16,  16384,   7685,  16,  20,   3, 115581496, 115338608, 115396744, 115168736, 115555496
  6770,  16,  16384,    172,  20,  21,   1, 115540248, 112847592, 115741560, 115596848, 115908984
  6771,  16,  16384,   4228,  21,  20,   1, 116146776, 115735840, 115595424, 114291960, 115247904
  6772,  16,  16384,  27293,  20,  21,   1, 115912744, 115296848, 115428272, 114254312, 113467960
  6773,  16,  16384,  20127,  21,  20,   1, 116149640, 115636176, 115769880, 115570952, 115786552
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  6776,  16,  16384,   8280,  22,  22,   0, 112505528, 112371592, 112549544, 112240264, 112547232
  6777,  16,  16384,    274,  22,  16,   3, 112732800, 112290944, 112502104, 112488504, 115397144
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  6788,  16,  16384,  42866,   5,   4,   1, 114360576, 111814560, 113924128, 113893072, 112628920
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  6809,  16,  16384,  25729,   9,  23,   3, 114038216, 113869784, 112969512, 114128592, 113603096
  6810,  16,  16384,  23627,  23,  22,   1, 113231808, 113398488, 113203688, 111966224, 112583872
  6811,  16,  16384,  44417,  22,  18,   2, 111476416, 112368136, 112350360, 106777344, 111068432
  6812,  16,  16384,  43641,  18,  18,   0, 106799232, 112492120, 111152200, 112644440, 112569920
  6813,  16,  16384,  31899,  18,  18,   0, 111408176, 112135328, 111097336, 112196784, 112664360
  6814,  16,  16384,  34067,  18,  12,   3, 112901120, 111070160, 112499848, 106622032, 107695264
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  6819,  16,  16384,    878,   8,  12,   3, 113733928, 113548168, 112243992, 113588032, 113725296
  6820,  16,  16384,  17603,  12,  12,   0, 113839416, 113409144, 112756400, 113634944, 113677232
  6821,  16,  16384,  40161,  12,  13,   1, 112802536, 113493168, 112414888, 107618352, 114258616
  6822,  16,  16384,  30469,  13,  13,   0, 114001768, 112931672, 114111128, 114086984, 114223288
  6823,  16,  16384,  36739,  13,  13,   0, 114144032, 113763064, 112947976, 112811016, 114444544
  6824,  16,  16384,  42027,  13,  12,   1, 107724072, 113245776, 114111368, 114140464, 112919680
  6825,  16,  16384,  35690,  12,  17,   2, 113711136, 113677512, 113707656, 112606776, 115958800
  6826,  16,  16384,  25850,  17,  17,   0, 115783800, 114590056, 114745304, 114565904, 115975664
  6827,  16,  16384,     16,  17,  20,   3, 110247192, 115793728, 115868808, 115472736, 109810568
  6828,  16,  16384,  47064,  20,  18,   2, 115244832, 115233176, 112663800, 114070480, 112268720
  6829,  16,  16384,  12656,  18,  19,   1, 112910200, 112621112, 110889424, 112466768, 112230568
  6830,  16,  16384,  24650,  19,  19,   0, 113719424, 113562264, 113322064, 113093080, 112259672
  6831,  16,  16384,  48890,  19,  18,   1, 112168408, 112985672, 108844752, 111526832, 112480968
  6832,  16,  16384,  10693,  18,  20,   2, 112631624, 112349256, 112382136, 105447544, 113021968
  6833,  16,  16384,  16068,  20,  19,   2, 113817728, 115095512, 115545080, 115437856, 109907712
  6834,  16,  16384,  23092,  19,  19,   0, 113281600, 113263976, 111934512, 113179168, 113226016
  6835,  16,  16384,  41734,  19,  19,   0, 113422608, 113015360, 113124688, 110859248, 113453856
  6836,  16,  16384,  13148,  19,  23,   2, 113140528, 111870656, 107320192, 112957208, 112109784
  6837,  16,  16384,  25827,  23,  20,   2, 113542064, 113057696, 113072888, 113127456, 115611384
  6838,  16,  16384,   8107,  20,  20,   0, 115549992, 115702720, 114104728, 115428312, 115768280
  6839,  16,  16384,   5933,  20,  18,   2, 115453064, 115422072, 115397384, 115368864, 111481376
  6840,  16,  16384,  12137,  18,  19,   1, 111938816, 112409672, 112666424, 111265728, 112209336
  6841,  16,  16384,   2274,  19,  12,   3, 113276704, 113262928, 111913400, 113380496, 113869032
  6842,  16,  16384,  29592,  12,   1,   3, 113689328, 107812320, 112390056, 112548712, 113795096
  6843,  16,  16384,  34874,   1,   0,   1, 113885104, 113856376, 113043176, 113846352, 113657032
  6844,  16,  16384,   2367,   0,   0,   0, 113941776, 113333816, 113338424, 112713712, 112420736
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  6846,  16,  16384,  48743,   2,   3,   1, 109687408, 109727864, 110985336, 109448984, 110304696
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  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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  7337,  16,  16384,  25418,  20,  17,   3, 115994992, 115325288, 115184696, 115391768, 114808392
  7338,  16,  16384,  40519,  17,  17,   0, 110135320, 115875424, 115039424, 115033584, 115956360
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  7340,  16,  16384,  43731,  12,  15,   2, 107767176, 112507096, 113644320, 112606528, 109156056
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  7342,  16,  16384,  44533,  17,  15,   2, 116183344, 114834456, 116130448, 116039472, 110646104
  7343,  16,  16384,  22658,  15,  11,   3, 110458512, 111608072, 111513568, 111630320, 111741480
  7344,  16,  16384,  32922,  11,   9,   2, 105960016, 111385896, 111339376, 111261048, 114025144
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  7346,  16,  16384,  25399,   9,  11,   2, 114322960, 113728480, 112822976, 112932312, 111508360
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  7391,  16,  16384,  38305,   4,  23,   3, 114053712, 105963568, 112598864, 113606672, 113466088
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  7414,  16,  16384,  45230,  19,  19,   0, 113412664, 113353656, 111996688, 113306304, 110910792
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  7422,  16,  16384,  12713,   8,   7,   2, 114063608, 111485304, 112853968, 113878312, 110217824
  7423,  16,  16384,  33368,   7,   6,   1, 111757640, 111433304, 110390104, 110325760, 110242384
  7424,  16,  16384,  11847,   6,   6,   0, 108181072, 110089248, 104292952, 109834008, 110114720
  7425,  16,  16384,  38718,   6,   7,   1, 110337096, 109609992, 107441528, 110037664, 110494488
  7426,  16,  16384,  33566,   7,   9,   2, 111506296, 110520072, 111305576, 105250488, 113893392
  7427,  16,  16384,  39289,   9,  12,   3, 114259456, 107970528, 113013320, 114095256, 113930736
  7428,  16,  16384,  21437,  12,  13,   1, 114019792, 113642968, 107434920, 113555776, 114331552
  7429,  16,  16384,  26130,  13,  12,   1, 114258144, 113967408, 114030952, 114037112, 113549040
  7430,  16,  16384,   9270,  12,  13,   1, 112650496, 113689968, 113677264, 113922224, 113997464
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  7432,  16,  16384,   5445,   2,   3,   1, 110852856, 110502744, 110870344, 110784816, 111550864
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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
  7439,  16,  16384,  33440,  22,  13,   3, 112637832, 112259960, 112481256, 112305624, 114573096
  7440,  16,  16384,  35510,  13,  12,   1, 113131856, 108148144, 113178032, 113891968, 113954472
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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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  7485,  16,  16384,  45017,  12,  12,   0, 113869112, 113669512, 113864616, 113779800, 113504888
  7486,  16,  16384,  37899,  12,  12,   0, 112776272, 113674896, 107823664, 113183864, 113965944
  7487,  16,  16384,   6154,  12,  18,   3, 113770600, 112521688, 113745536, 113637152, 112474752
  7488,  16,  16384,  38530,  18,  16,   3, 111430560, 111136448, 112566304, 112479288, 114068184
  7489,  16,  16384,  13426,  16,  17,   1, 115850680, 115165896, 115496816, 114368840, 114679992
  7490,  16,  16384,   8382,  17,  17,   0, 116277424, 115922928, 115481408, 115842104, 115900984
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  7492,  16,  16384,  37128,   1,  21,   3, 114026224, 112955056, 113771176, 113943168, 116139280
  7493,  16,  16384,  23338,  21,  20,   1, 113631008, 115859512, 115897936, 115671576, 115553232
  7494,  16,  16384,  14150,  20,  15,   3, 114435488, 115355392, 115636096, 109398040, 110460768
  7495,  16,  16384,   9461,  15,  12,   2, 111503696, 111573728, 111497248, 111431576, 113755664
  7496,  16,  16384,  43501,  12,   4,   3, 114129064, 113444832, 112371944, 112645976, 113745088
  7497,  16,  16384,  47294,   4,   2,   2, 112509528, 114040336, 107766944, 113920000, 109371808
  7498,  16,  16384,  48575,   2,   4,   2, 110924856, 110871712, 110735272, 108824032, 113760704
  7499,  16,  16384,  49406,   4,   1,   2, 114025616, 112192968, 113838808, 107621280, 114056432
  7500,  16,  16384,  43318,   1,   1,   0, 113883824, 113853832, 107596280, 114007704, 114148680
  7501,  16,  16384,  16313,   1,  17,   3, 111699048, 113078616, 113539024, 113994488, 116041904
  7502,  16,  16384,  25774,  17,  16,   1, 114742000, 116092440, 115942720, 116196584, 115929784
  7503,  16,  16384,  33407,  16,  17,   1, 115643904, 111150168, 113201232, 115329200, 115926896
  7504,  16,  16384,  28246,  17,  10,   3, 116127560, 114394848, 115715648, 115745272, 104960128
  7505,  16,  16384,  45017,  10,  11,   1, 109945424, 110895424, 110749928, 110996328, 111533192
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  7507,  16,  16384,   5906,   1,   1,   0, 114112456, 112209200, 108152736, 113839768, 114039352
  7508,  16,  16384,  47881,   1,   0,   1, 113109040, 114159456, 114323120, 113253696, 113728880
  7509,  16,  16384,  30371,   0,   1,   1, 111896736, 105475648, 113539000, 113552528, 113031760
  7510,  16,  16384,  31114,   1,   1,   0, 113909360, 112741488, 114112280, 114122192, 113219616
  7511,  16,  16384,  24713,   1,   5,   2, 114038432, 112814696, 113849568, 114067968, 114065032
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  7513,  16,  16384,  36196,   5,   5,   0, 114358832, 113999488, 113122664, 113301904, 114336144
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  7595,  16,  16384,   7268,  21,  21,   0, 115848928, 114673616, 116190952, 113156944, 116218376
  7596,  16,  16384,  45575,  21,  12,   3, 110250920, 115501520, 115801288, 115823944, 112660152
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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
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  7613,  16,  16384,  30456,   3,  15,   3, 111443832, 111499832, 111179976, 111110320, 111598544
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  7621,  16,  16384,  32440,  11,  10,   1, 111511392, 111485552, 110334400, 111434656, 111117160
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  7625,  16,  16384,  11705,   8,   9,   1, 114029216, 112678152, 107525248, 111448768, 114283464
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  7627,  16,  16384,  21751,   9,   9,   0, 114267400, 114093816, 112063608, 112777984, 114381824
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  7629,  16,  16384,  46395,  11,   9,   2, 110523256, 111469000, 111297496, 105606072, 111884552
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  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
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  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
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  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
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  7834,  16,  16384,  38126,   4,   4,   0, 113939408, 113558496, 113151960, 113510432, 112658248
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  7841,  16,  16384,  48035,  14,  15,   1, 104808568, 110661080, 110276784, 109157000, 110821184
  7842,  16,  16384,   8524,  15,  15,   0, 110587624, 111588088, 111330888, 111494608, 111769480
  7843,  16,  16384,  47160,  15,   1,   3, 111830040, 110396480, 107163016, 108874408, 113978336
  7844,  16,  16384,  47351,   1,   8,   3, 112917840, 113853608, 114145104, 112474056, 109333664
  7845,  16,  16384,  12292,   8,   9,   1, 113821152, 113769400, 113546872, 113783272, 113996120
  7846,  16,  16384,  37379,   9,  20,   3, 114589064, 113106448, 113217920, 114125936, 114423824
  7847,  16,  16384,  19812,  20,  20,   0, 115472152, 108377272, 115363336, 114987984, 115468136
  7848,  16,  16384,  22216,  20,  21,   1, 113973312, 115098648, 115389320, 115661616, 115995336
  7849,  16,  16384,  23031,  21,  21,   0, 116256808, 114498104, 116092624, 115293432, 116000032
  7850,  16,  16384,  31241,  21,  21,   0, 115973536, 114272328, 115818112, 116065880, 116055584
  7851,  16,  16384,  36172,  21,  20,   1, 115929288, 112812808, 112743592, 114706504, 109814568
  7852,  16,  16384,  24458,  20,  21,   1, 115620080, 115235304, 113806808, 115425016, 115963616
  7853,  16,  16384,  20592,  21,  18,   2, 114535288, 115762480, 115965560, 115964256, 107954968
  7854,  16,  16384,  32162,  18,   1,   3, 112460456, 112411848, 112541616, 109719128, 113276024
  7855,  16,  16384,  46578,   1,   1,   0, 112732768, 113671008, 113856184, 113730176, 114269840
  7856,  16,  16384,   7017,   1,   1,   0, 106325040, 114148104, 113759792, 112615312, 113765280
  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
  7862,  16,  16384,  32335,   4,   2,   2, 113863160, 113804448, 113968720, 113821160, 109159216
  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
  7902,  16,  16384,  26882,  18,  19,   1, 112495848, 112401952, 111332872, 111048968, 113265480
  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
  7923,  16,  16384,  23413,  16,  16,   0, 115641144, 115404264, 115538504, 114267352, 114215184
  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
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  8228,  16,  16384,  12983,   4,   3,   2, 113739600, 113592912, 113862776, 113804280, 104252720
  8229,  16,  16384,  48037,   3,   2,   1, 111584032, 111442656, 109870824, 110183888, 108362376
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  8232,  16,  16384,  37507,   2,   7,   3, 106596216, 106644600, 109528416, 110955864, 111914616
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  8255,  16,  16384,  46284,   9,  11,   2, 114360704, 113062312, 114109360, 113886600, 109400616
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  8257,  16,  16384,  10481,   1,   1,   0, 109490072, 113925664, 114047736, 113747120, 114058856
  8258,  16,  16384,   2865,   1,   4,   2, 114189656, 113013488, 114101216, 114076464, 107533024
  8259,  16,  16384,  21191,   4,  22,   3, 113923112, 112505264, 113846056, 113433960, 112660824
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  8261,  16,  16384,  20494,  19,  20,   2, 111866264, 113124408, 113130752, 113093936, 115566600
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  8263,  16,  16384,  28625,  22,  22,   0, 112765080, 111088400, 106611464, 111968760, 112435696
  8264,  16,  16384,  46954,  22,  19,   2, 112630384, 112319648, 110302184, 112301080, 112282360
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  8270,  16,  16384,  34534,  22,  22,   0, 111215672, 112404592, 106751424, 112575872, 112642672
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  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
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  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
  8321,  16,  16384,  30531,  10,   9,   2, 110998040, 110756888, 110556352, 110488912, 114174264
  8322,  16,  16384,   5872,   9,   0,   3, 113933072, 113820976, 113926040, 113949128, 113991136
  8323,  16,  16384,  36916,   0,   1,   1, 112958984, 113253808, 113730496, 112412560, 114029216
  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
  8334,  16,  16384,  40655,  18,  16,   3, 106836144, 111447504, 112547184, 112525680, 114577440
  8335,  16,  16384,  17669,  16,  17,   1, 115785688, 115276448, 114062680, 109670352, 114880112
  8336,  16,  16384,  38764,  17,  16,   1, 115950952, 115792512, 115646200, 115689480, 115758016
  8337,  16,  16384,  13446,  16,  11,   3, 115697776, 114449432, 115704520, 114247920, 110517736
  8338,  16,  16384,  16430,  11,  11,   0, 111844872, 111226008, 111588240, 110271352, 111576472
  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
  8342,  16,  16384,   7747,  11,   6,   2, 111481984, 111493832, 110547536, 109763456, 110209376
  8343,  16,  16384,  33093,   6,  23,   3, 110684584, 109461824, 108041616, 107708408, 107577072
  8344,  16,  16384,  40853,  23,   9,   3, 113603312, 113137568, 113116096, 113229736, 114071096
  8345,  16,  16384,  24958,   9,  11,   2, 114221544, 112979272, 114079528, 113790736, 110382072
  8346,  16,  16384,  17953,  11,  10,   1, 106758120, 110214312, 111444144, 111272744, 110841560
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  8414,  16,  16384,   9324,  15,  15,   0, 111472472, 111278080, 111286824, 104158968, 111567624
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  8420,  16,  16384,  34662,   3,   0,   2, 111288360, 111046392, 111143152, 103887736, 111481432
  8421,  16,  16384,  19526,   0,   1,   1, 112761088, 113817880, 107635784, 113848272, 114350664
  8422,  16,  16384,   8264,   1,   0,   1, 113986096, 107234040, 113414640, 113015168, 113986216
  8423,  16,  16384,  11153,   0,   0,   0, 113895936, 113468376, 111278656, 112748760, 113954440
  8424,  16,  16384,   5429,   0,   1,   1, 107672360, 113579792, 113534272, 112582680, 114134952
  8425,  16,  16384,  10611,   1,   2,   2, 112661984, 114068544, 114077944, 113983448, 110716384
  8426,  16,  16384,   2127,   2,   2,   0, 110850696, 109385784, 110137720, 109927032, 109689704
  8427,  16,  16384,  49657,   2,   3,   1, 110833184, 110490392, 109350616, 110619104, 111137328
  8428,  16,  16384,  37490,   3,   3,   0, 111047160, 110890208, 111160560, 111187160, 108372512
  8429,  16,  16384,  35632,   3,   8,   3, 111452216, 111231200, 111386392, 110472144, 114042104
  8430,  16,  16384,  48396,   8,  16,   3, 113939808, 113767688, 112936568, 112995224, 114665432
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  8432,  16,  16384,  22028,  16,   4,   3, 115815376, 115705480, 115582040, 115355976, 106636568
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  8435,  16,  16384,  30789,   4,  21,   3, 114039808, 113600752, 106390800, 113833544, 116190960
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  8437,  16,  16384,  33695,  20,  21,   1, 115620720, 109732600, 115265984, 115082888, 108846792
  8438,  16,  16384,  20524,  21,  21,   0, 114811672, 115900960, 115819392, 115834080, 116496968
  8439,  16,  16384,  36479,  21,  21,   0, 116233864, 114659064, 115916856, 115757144, 116179416
  8440,  16,  16384,   8480,  21,  12,   3, 116104064, 114611568, 108673736, 115956648, 112829512
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  8477,  16,  16384,  34401,   4,  13,   3, 113859296, 113828808, 113442272, 112514088, 114290400
  8478,  16,  16384,  42963,  13,  23,   3, 113137904, 113439272, 114125776, 114294584, 113614392
  8479,  16,  16384,  33162,  23,   6,   3, 113359904, 111603512, 111782776, 107505712, 110314536
  8480,  16,  16384,  28644,   6,   2,   3, 110484160, 110184536, 110254144, 110317120, 110714680
  8481,  16,  16384,  42539,   2,   2,   0, 111019448, 109464816, 110636288, 110738776, 104787552
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  8485,  16,  16384,  30690,  12,  14,   2, 114028088, 113731640, 112303832, 107696280, 111077160
  8486,  16,  16384,  17861,  14,  16,   2, 111068048, 105011632, 108459800, 109755296, 115331928
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  8488,  16,  16384,  26725,  16,  16,   0, 115517952, 115249512, 113794216, 109541080, 115304736
  8489,  16,  16384,  34853,  16,  12,   2, 115706104, 113072664, 115158688, 115751448, 114007344
  8490,  16,  16384,  36893,  12,  18,   3, 113632760, 113180704, 108234624, 112263264, 105155872
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  8492,  16,  16384,  30343,  18,  19,   1, 112641712, 112242528, 112415272, 112506560, 111374400
  8493,  16,  16384,  31409,  19,   6,   3, 113573264, 113355192, 111741504, 112912280, 110323136
  8494,  16,  16384,  31836,   6,  22,   3, 104381296, 110203472, 109760312, 110110848, 112687104
  8495,  16,  16384,  35847,  22,  19,   2, 112774992, 111324656, 106287136, 111531080, 113407368
  8496,  16,  16384,   2180,  19,  19,   0, 113571000, 113391792, 113411632, 113118680, 112398552
  8497,  16,  16384,  13352,  19,   2,   3, 113224296, 112031256, 112226304, 113145304, 110214128
  8498,  16,  16384,  28107,   2,   2,   0, 110732144, 110753288, 110621408, 110766288, 104827304
  8499,  16,  16384,  31976,   2,   5,   2, 109470584, 110960624, 110676872, 110725992, 103118848
  8500,  16,  16384,  17249,   5,   7,   3, 113097144, 113748368, 113897904, 114146736, 111619592
  8501,  16,  16384,  47469,   7,   9,   2, 111543104, 111214440, 105337392, 111268192, 114356280
  8502,  16,  16384,  10711,   9,   8,   1, 114276208, 105099416, 114120872, 113863928, 112713336
  8503,  16,  16384,  13200,   8,   9,   1, 113842808, 113833736, 113719048, 113688976, 112952544
  8504,  16,  16384,  12682,   9,  11,   2, 114286736, 113916264, 114123984, 112952912, 105687488
  8505,  16,  16384,   3092,  11,  11,   0, 109755944, 110951224, 111356720, 111551896, 111537904
  8506,  16,  16384,   8151,  11,  11,   0, 110311160, 111295632, 111489264, 111283488, 111685848
  8507,  16,  16384,  27437,  11,  11,   0, 111504104, 111384376, 110103744, 104576400, 110351104
  8508,  16,  16384,   6515,  11,   6,   2, 111518664, 111451040, 111190096, 110320776, 110307584
  8509,  16,  16384,   9853,   6,  11,   2, 109131672, 110095504, 107894520, 109786648, 110487016
  8510,  16,  16384,  12459,  11,  11,   0, 110673312, 105662472, 110349704, 111533616, 111486768
  8511,  16,  16384,  26350,  11,   9,   2, 110706704, 111659656, 111394624, 111608328, 108082288
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  8513,  16,  16384,  47690,   8,  11,   2, 108167816, 113070232, 113587760, 113629736, 111586944
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  8663,  16,  16384,  15263,  16,  17,   1, 109645952, 114115856, 115406904, 115139912, 116032568
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  8675,  16,  16384,  36977,  13,  13,   0, 114279160, 114127216, 114029920, 114132960, 114164488
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  8678,  16,  16384,  18777,  15,  15,   0, 110383672, 111675016, 110388424, 111665512, 111830032
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  8823,  16,  16384,  22234,   3,   2,   1, 111440920, 111276024, 111527592, 111452720, 110776872
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  8834,  16,  16384,  40078,  11,  10,   1, 111640640, 111280248, 111653048, 110205520, 111051984
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  8843,  16,  16384,  12640,  10,   9,   2, 110949648, 110703384, 108382224, 109480512, 112269488
  8844,  16,  16384,  49635,   9,   8,   1, 114102448, 113883616, 113071704, 113966064, 113724776
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  9330,  16,  16384,   5258,  12,  14,   2, 112436912, 113690968, 113685312, 112595032, 104069832
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  9332,  16,  16384,  23353,  16,  16,   0, 112514960, 112331072, 114051152, 115373080, 115465136
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  9339,  16,  16384,  33290,  16,  17,   1, 115533376, 115301960, 108309408, 115183440, 116051592
  9340,  16,  16384,   4775,  17,  16,   1, 116202648, 115812888, 115863864, 114592352, 114206984
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  9342,  16,  16384,  37419,  13,  13,   0, 108250576, 114132256, 114066848, 113574896, 114492552
  9343,  16,  16384,  10458,  13,  12,   1, 113673968, 113437952, 112943784, 114074704, 111903880
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  9427,  16,  16384,  34873,  10,   9,   2, 109867528, 110900824, 110749952, 110841160, 114204088
  9428,  16,  16384,  35604,   9,   9,   0, 114519904, 112785008, 114074520, 114087240, 114272792
  9429,  16,  16384,  27418,   9,   9,   0, 114196920, 113919480, 112885824, 104892576, 114357080
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  9477,  16,  16384,  40440,  14,  17,   2, 109820960, 110980288, 110914328, 110747632, 115888872
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  9485,  16,  16384,  35249,  22,  21,   2, 112558288, 107273760, 112341936, 106304528, 115943912
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  9488,  16,  16384,   3836,  20,   9,   3, 114623208, 115548552, 115278648, 114216888, 114259048
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  9490,  16,  16384,  12670,   9,  11,   2, 114330728, 113061944, 113965176, 114190552, 111464120
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  9493,  16,  16384,  22633,   8,  10,   2, 113721576, 113672792, 107747968, 113680024, 109728072
  9494,  16,  16384,  22906,  10,  11,   1, 111280008, 109728912, 104191880, 110567648, 111469728
  9495,  16,  16384,  17847,  11,  21,   3, 111717800, 111410384, 111497352, 111330120, 115835424
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  9499,  16,  16384,  30974,  18,  19,   1, 111389784, 111404088, 112692344, 112480864, 113282688
  9500,  16,  16384,   3028,  19,   8,   3, 113403560, 113077528, 113181024, 112068200, 113745832
  9501,  16,  16384,  15632,   8,   2,   3, 112520128, 113395680, 113323800, 113909960, 110892672
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  9506,  16,  16384,  16818,   1,   0,   1, 113871912, 114036744, 110901432, 109172336, 113699032
  9507,  16,  16384,  29464,   0,   1,   1, 112752448, 107650408, 113604920, 112363616, 112982816
  9508,  16,  16384,  34325,   1,   0,   1, 112969536, 113718720, 113984328, 113892792, 112653808
  9509,  16,  16384,  45155,   0,  11,   3, 113694792, 114072544, 112504504, 107340592, 110573072
  9510,  16,  16384,  11410,  11,  11,   0, 111698016, 111548088, 111586704, 105796592, 110581480
  9511,  16,  16384,  35362,  11,  10,   1, 110513712, 111342304, 111224336, 111210056, 111103144
  9512,  16,  16384,  43212,  10,   9,   2, 111229640, 104648008, 108832352, 110682240, 114269784
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  9595,  16,  16384,  25111,   0,  21,   3, 107585912, 113457792, 113493696, 113282424, 116050632
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  9610,  16,  16384,  23656,   3,   3,   0, 110139152, 111235200, 111734984, 111420200, 111342128
  9611,  16,  16384,  48869,   3,   2,   1, 111311064, 111478360, 109316120, 109621160, 109875112
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  9613,  16,  16384,  14571,   3,   2,   1, 111662920, 111305840, 111350008, 109755128, 109628032
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  9619,  16,  16384,  25873,  18,  19,   1, 110210944, 111236496, 112456288, 112473208, 113192408
  9620,  16,  16384,  33594,  19,  15,   3, 113600680, 110887624, 113007960, 113661488, 110281736
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  9652,  16,  16384,  43497,  18,  19,   1, 112527304, 108207864, 110846312, 108383192, 113158728
  9653,  16,  16384,  30416,  19,  23,   2, 113341096, 113223304, 111928632, 113097496, 113317904
  9654,  16,  16384,  19479,  23,  21,   2, 113718768, 113310856, 112008608, 109760312, 116283200
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  9657,  16,  16384,   1743,  22,  22,   0, 111530112, 112517752, 112691904, 112655112, 112401288
  9658,  16,  16384,   2440,  22,  20,   2, 106736520, 112351960, 112443768, 112611664, 113206712
  9659,  16,  16384,   4255,  20,   8,   3, 114448440, 115427016, 115032784, 115331384, 112679344
  9660,  16,  16384,  39911,   8,   9,   1, 113607648, 113598608, 113409040, 113863400, 114115120
  9661,  16,  16384,   3512,   9,   9,   0, 114191696, 112977032, 114191424, 114027368, 114230840
  9662,  16,  16384,  17000,   9,  18,   3, 113348640, 114404976, 114361160, 114171368, 112836536
  9663,  16,  16384,   5995,  18,  19,   1, 112347672, 112434280, 106781160, 112388384, 113529152
  9664,  16,  16384,  48147,  19,  19,   0, 113868400, 111273752, 109338608, 113504824, 113517248
  9665,  16,  16384,  36172,  19,  18,   1, 113403720, 113499840, 113384408, 113081344, 112380912
  9666,  16,  16384,  21039,  18,  17,   3, 111534976, 109216504, 111808576, 112563496, 115941832
  9667,  16,  16384,  21970,  17,  15,   2, 116001048, 115818784, 113150736, 114503576, 110553592
  9668,  16,  16384,   1729,  15,  17,   2, 110423256, 105628464, 111525272, 111665840, 115901568
  9669,  16,  16384,   3254,  17,  17,   0, 115968560, 110298712, 115804144, 115659832, 113380200
  9670,  16,  16384,  28163,  17,   9,   3, 114759016, 116265568, 115742464, 114433784, 114207760
  9671,  16,  16384,  29615,   9,   8,   1, 114361624, 114181944, 113980720, 114015008, 114089968
  9672,  16,  16384,  34980,   8,   8,   0, 113101848, 113882896, 113803456, 112399872, 106719992
  9673,  16,  16384,  20152,   8,  14,   3, 113698192, 113518968, 113556072, 113236256, 110778864
  9674,  16,  16384,  19804,  14,  14,   0, 110861632, 110829808, 110720552, 110701736, 109656728
  9675,  16,  16384,  10269,  14,  16,   2, 111292720, 109622416, 104895952, 109717536, 115245288
  9676,  16,  16384,  39447,  16,  13,   2, 115616944, 115518624, 115472696, 115320184, 114232928
  9677,  16,  16384,  44006,  13,  12,   1, 114147696, 114149232, 112979592, 106917912, 113675128
  9678,  16,  16384,  18218,  12,  14,   2, 113662368, 113688360, 113786040, 114145936, 111140248
  9679,  16,  16384,  46379,  14,  13,   2, 111091720, 110927968, 109642432, 110745424, 109648480
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  9689,  16,  16384,   9332,   1,   1,   0, 111782216, 113564272, 113256752, 113996568, 114206736
  9690,  16,  16384,  44379,   1,   1,   0, 114012488, 107663728, 113118056, 113426008, 113964944
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  9705,  16,  16384,  26846,  20,  17,   3, 115578200, 115328592, 109645016, 114899888, 116006488
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  9707,  16,  16384,  48822,  17,  17,   0, 116206328, 115809848, 115911992, 114728552, 116050320
  9708,  16,  16384,  13742,  17,  12,   2, 116164576, 115812744, 115876616, 114852640, 113866336
  9709,  16,  16384,  16364,  12,  13,   1, 106573704, 112505152, 113808800, 113411792, 112067056
  9710,  16,  16384,  11976,  13,  10,   3, 114564048, 112985176, 114211512, 114294216, 110882296
  9711,  16,  16384,   8358,  10,  11,   1, 110159656, 110466672, 110683592, 110292576, 111313584
  9712,  16,  16384,  19473,  11,   9,   2, 111412560, 111510712, 111425008, 110370816, 114263696
  9713,  16,  16384,  45398,   9,   1,   3, 114566768, 114406904, 113980880, 114380392, 114173264
  9714,  16,  16384,   1259,   1,  21,   3, 114272848, 113888792, 112823536, 113981472, 109135856
  9715,  16,  16384,  32040,  21,  19,   2, 116010008, 115748032, 115753216, 114601736, 106431240
  9716,  16,  16384,  36988,  19,   9,   3, 110592224, 113111432, 113630048, 113226248, 113946448
  9717,  16,  16384,  47908,   9,   7,   2, 114229856, 112784352, 114211000, 113948328, 110385760
  9718,  16,  16384,  16547,   7,  10,   2, 104333792, 109107456, 111360168, 111632816, 109824368
  9719,  16,  16384,  32511,  10,  11,   1, 109677952, 110961704, 110699536, 104869280, 111401688
  9720,  16,  16384,  26719,  11,  11,   0, 111468648, 111682864, 109306560, 110468416, 110966976
  9721,  16,  16384,  14158,  11,  10,   1, 111171888, 111258216, 111504120, 111341656, 105216008
  9722,  16,  16384,  29675,  10,  10,   0, 111278688, 110729136, 110731440, 109689568, 111062920
  9723,  16,  16384,  36518,  10,  18,   3, 109959160, 111121424, 110798192, 109704608, 112424728
  9724,  16,  16384,   1871,  18,  22,   2, 112851976, 111426272, 111859168, 112421152, 112661384
  9725,  16,  16384,  33388,  22,   6,   3, 112554008, 112508320, 110906120, 111231832, 110062696
  9726,  16,  16384,  14049,   6,   7,   1, 108983528, 110078152, 109811112, 110145840, 110307248
  9727,  16,  16384,  14594,   7,   6,   1, 111195904, 105525392, 110174192, 109287712, 110419824
  9728,  16,  16384,   8614,   6,  11,   2, 104532328, 110209928, 109646144, 108837440, 111708280
  9729,  16,  16384,  46925,  11,   6,   2, 111852864, 111432848, 111601936, 111290200, 110281584
  9730,  16,  16384,  18105,   6,   6,   0, 108856568, 109980984, 110192736, 104370952, 109080304
  9731,  16,  16384,   3011,   6,   7,   1, 110290480, 110093200, 110128096, 109255152, 111502656
  9732,  16,  16384,  31146,   7,   7,   0, 105373640, 111282320, 109786000, 108356856, 111484944
  9733,  16,  16384,  11740,   7,   6,   1, 111541720, 111295368, 111373944, 111472112, 109028328
  9734,  16,  16384,  36069,   6,  20,   3, 110444040, 110132680, 109094432, 110384360, 115736072
  9735,  16,  16384,  44181,  20,  21,   1, 115577808, 114116712, 115531704, 115145704, 109380496
  9736,  16,  16384,  16938,  21,  14,   3, 116222064, 114444584, 114569024, 115719864, 109065640
  9737,  16,  16384,  48926,  14,  14,   0, 106974400, 110781752, 110051712, 110274656, 109810784
  9738,  16,  16384,  27758,  14,  19,   3, 111084200, 110975568, 111107224, 110908536, 113545344
  9739,  16,  16384,  31056,  19,  21,   2, 112262088, 111994696, 105725824, 113267808, 115700696
  9740,  16,  16384,   6606,  21,   8,   3, 116310200, 114804440, 115743328, 115784552, 113827120
  9741,  16,  16384,  32004,   8,   8,   0, 109082792, 111049768, 113443968, 113494144, 112793784
  9742,  16,  16384,   8479,   8,  20,   3, 113678856, 113919760, 113954200, 112488160, 114449296
  9743,  16,  16384,  31594,  20,   8,   3, 115623712, 115264592, 114119960, 114019728, 113803864
  9744,  16,  16384,  47691,   8,   5,   3, 113831200, 113884120, 112469736, 113607720, 114308840
  9745,  16,  16384,  14627,   5,  20,   3, 113984016, 111760096, 113876872, 113898184, 114475520
  9746,  16,  16384,  13552,  20,   9,   3, 114265464, 115240632, 115471680, 113922888, 114112256
  9747,  16,  16384,   8538,   9,   7,   2, 113377552, 114123016, 113967352, 114154672, 111448576
  9748,  16,  16384,   5637,   7,   2,   3, 109103784, 111448104, 111542024, 110027272, 110170416
  9749,  16,  16384,  47509,   2,   1,   2, 110577952, 109621144, 110810392, 110673536, 113794616
  9750,  16,  16384,  39619,   1,   5,   2, 113594264, 113516096, 113817960, 112785920, 112694656
  9751,  16,  16384,  13826,   5,   5,   0, 114267800, 112694656, 113883640, 113914888, 114165120
  9752,  16,  16384,  27070,   5,   5,   0, 114029088, 113806624, 113803504, 112498648, 108316464
  9753,  16,  16384,   4623,   5,  11,   3, 112930696, 112944840, 114171608, 113149296, 111575752
  9754,  16,  16384,  49162,  11,   8,   2, 111847304, 110517616, 111451792, 111601920, 113123136
  9755,  16,  16384,   4289,   8,  10,   2, 107719040, 113686696, 113395152, 113549080, 111186712
  9756,  16,  16384,  39803,  10,   9,   2, 109992224, 111057696, 110870440, 109788960, 114002256
  9757,  16,  16384,  46084,   9,   8,   1, 114422720, 114166552, 111789152, 114090536, 112874224
  9758,  16,  16384,  29362,   8,   8,   0, 114204192, 112710160, 114143504, 113892112, 113918736
  9759,  16,  16384,  13185,   8,  10,   2, 113716960, 112551056, 112958480, 113634376, 110861344
  9760,  16,  16384,  30136,  10,  10,   0, 111138112, 110660400, 109641224, 110800408, 111074432
  9761,  16,  16384,  10322,  10,  10,   0, 109916496, 110974824, 109711584, 111017288, 111187496
  9762,  16,  16384,  10677,  10,  11,   1, 110085304, 110598928, 104875168, 110976496, 110740544
  9763,  16,  16384,  31249,  11,  10,   1, 110555416, 111570096, 111583616, 111526904, 111123160
  9764,  16,  16384,  17344,  10,  10,   0, 110140512, 110829456, 109919848, 110720888, 105024904
  9765,  16,  16384,  29162,  10,  10,   0, 110793032, 110844136, 109964960, 110825008, 109826944
  9766,  16,  16384,  25249,  10,  10,   0, 111410968, 111110080, 109596296, 111102192, 110142320
  9767,  16,  16384,  18306,  10,   8,   2, 111192856, 110997976, 104775240, 110652016, 112510808
  9768,  16,  16384,  28983,   8,   8,   0, 114157424, 113773120, 113727248, 113736272, 113677440
  9769,  16,  16384,  38435,   8,   9,   1, 114024472, 107635776, 113310704, 112580328, 114515488
  9770,  16,  16384,  22744,   9,   5,   3, 114321128, 114187952, 113936048, 114118912, 111727328
  9771,  16,  16384,  29914,   5,   8,   3, 109294000, 113760880, 112567784, 114142312, 113725552
  9772,  16,  16384,  16445,   8,  19,   3, 113854440, 113643144, 112971592, 112841080, 113700864
  9773,  16,  16384,  33790,  19,   9,   3, 113602096, 112187992, 112930128, 113031984, 114019016
  9774,  16,  16384,  41249,   9,   8,   1, 113499008, 109729272, 112338200, 114267864, 113826080
  9775,  16,  16384,  35083,   8,   8,   0, 113981184, 113247704, 113766160, 112615392, 113935248
  9776,  16,  16384,  31657,   8,   9,   1, 107563560, 112625328, 113598872, 113751312, 114092512
  9777,  16,  16384,  31244,   9,   9,   0, 113125776, 114195936, 113983672, 113908608, 114252464
  9778,  16,  16384,  39697,   9,   9,   0, 114100248, 113531488, 113494648, 114254088, 110616688
  9779,  16,  16384,  42605,   9,   9,   0, 111539024, 113124576, 114280576, 113932592, 113108256
  9780,  16,  16384,  33901,   9,  11,   2, 114203424, 113850408, 114056528, 113871928, 111869496
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  9784,  16,  16384,   5049,  16,  16,   0, 115843728, 115468728, 113614568, 114178936, 115743896
  9785,  16,  16384,  36240,  16,   6,   3, 114518072, 114418568, 115521488, 115519240, 107691752
  9786,  16,  16384,  28844,   6,  22,   3, 105949752, 109994536, 108966496, 108915160, 112447592
  9787,  16,  16384,  12420,  22,  23,   1, 112699632, 112523832, 112439384, 111103696, 113782240
  9788,  16,  16384,  44973,  23,  22,   1, 112073632, 111612336, 111867120, 107470144, 112682992
  9789,  16,  16384,  38424,  22,  23,   1, 106803128, 112353712, 112335768, 112326264, 113399760
  9790,  16,  16384,  45298,  23,  21,   2, 113287952, 111954712, 112250480, 112122400, 114199336
  9791,  16,  16384,  18299,  21,  21,   0, 115447480, 115737392, 115922992, 115762360, 116050936
  9792,  16,  16384,   2667,  21,  20,   1, 115876952, 110210560, 115625728, 113215080, 115724088
  9793,  16,  16384,  46849,  20,  19,   2, 115723464, 115464640, 115212800, 105834520, 113451448
  9794,  16,  16384,  35272,  19,  19,   0, 113410568, 113426648, 113401096, 111838520, 112256480
  9795,  16,  16384,  29815,  19,  17,   3, 113434432, 113385104, 113192576, 113301248, 116336208
  9796,  16,  16384,  34896,  17,  16,   1, 116324640, 115932080, 115743896, 115804288, 115727760
  9797,  16,  16384,  44551,  16,  16,   0, 115306920, 115181200, 115375264, 115356384, 112938048
  9798,  16,  16384,  15136,  16,  17,   1, 115855160, 115220104, 114259312, 112892416, 110379520
  9799,  16,  16384,  19917,  17,  17,   0, 116209456, 113257064, 116261048, 115867840, 113165440
  9800,  16,  16384,   4110,  17,   4,   3, 116055144, 116085112, 115899992, 115895848, 107769064
  9801,  16,  16384,  19625,   4,   4,   0, 112543040, 113446568, 113937360, 113572216, 113764096
  9802,  16,  16384,   7478,   4,   5,   1, 113962008, 112748352, 113897288, 112785736, 114060568
  9803,  16,  16384,  41324,   5,   5,   0, 114270136, 113947024, 113802120, 113846920, 112887984
  9804,  16,  16384,  21346,   5,   4,   1, 113106040, 112828912, 113894824, 112987824, 112771144
  9805,  16,  16384,  46777,   4,  22,   3, 113953832, 113375880, 112586320, 113999808, 109988696
  9806,  16,  16384,  23444,  22,  23,   1, 112956824, 112759304, 112382136, 112466272, 113701304
  9807,  16,  16384,   1920,  23,  22,   1, 113217200, 113362448, 113415664, 113229232, 112544264
  9808,  16,  16384,   7163,  22,  22,   0, 112580896, 111228760, 111220144, 112545584, 112860792
  9809,  16,  16384,  38722,  22,  23,   1, 112449200, 112291968, 106779608, 111270480, 113610024
  9810,  16,  16384,  18426,  23,  22,   1, 112033688, 110835112, 113098856, 113315080, 112728048
  9811,  16,  16384,  47539,  22,  19,   2, 112594008, 112639856, 112182976, 112650536, 113589832
  9812,  16,  16384,  43943,  19,  20,   2, 113450528, 112392840, 109923896, 113329408, 115578968
  9813,  16,  16384,   7444,  20,  21,   1, 115430448, 115389272, 115364728, 115608312, 116209056
  9814,  16,  16384,  25122,  21,  21,   0, 116466736, 115751168, 115996960, 114870944, 115877496
  9815,  16,  16384,  28198,  21,  21,   0, 116062968, 114457160, 115722408, 115780880, 113263416
  9816,  16,  16384,  47481,  21,  21,   0, 110326248, 115741024, 115908656, 115656512, 114800048
  9817,  16,  16384,   7980,  21,  23,   2, 116060120, 115823784, 115886664, 114735960, 113414552
  9818,  16,  16384,  40006,  23,  18,   2, 113658664, 113222928, 107404720, 113222696, 112695008
  9819,  16,  16384,  35271,  18,  18,   0, 112418576, 111142560, 112598264, 111103984, 106703312
  9820,  16,  16384,  24754,  18,  19,   1, 112642800, 112419088, 112542992, 110919328, 107448368
  9821,  16,  16384,  41236,  19,  19,   0, 110771032, 112015176, 113127104, 112828032, 112104992
  9822,  16,  16384,  46234,  19,   6,   3, 113487792, 113314512, 113406912, 113346712, 110130088
  9823,  16,  16384,   4212,   6,   8,   2, 109163080, 110085144, 110089928, 108927176, 113940968
  9824,  16,  16384,  39164,   8,   9,   1, 113637224, 113656656, 113437360, 113577352, 113988328
  9825,  16,  16384,  21693,   9,   9,   0, 114305936, 113179864, 113874272, 113086272, 113083856
  9826,  16,  16384,   1108,   9,   8,   1, 114064040, 113860576, 113931920, 114066544, 113737192
  9827,  16,  16384,  26456,   8,  18,   3, 113670688, 112580424, 114038248, 112334696, 112634728
  9828,  16,  16384,  41289,  18,   0,   3, 110141888, 112446936, 112164624, 112363184, 113882872
  9829,  16,  16384,  26800,   0,   1,   1, 113829936, 113814376, 113598312, 112348360, 113903840
  9830,  16,  16384,  45661,   1,  13,   3, 112738976, 107938272, 113853304, 112879400, 114266064
  9831,  16,  16384,  24715,  13,   7,   3, 111130296, 110921920, 113863264, 113943352, 111501088
  9832,  16,  16384,  36885,   7,   7,   0, 110469616, 109014440, 111408656, 111391808, 105483080
  9833,  16,  16384,  24202,   7,   9,   2, 111375272, 111364496, 111457040, 110356608, 114629384
  9834,  16,  16384,  43029,   9,   7,   2, 114279880, 114041600, 108140848, 113135424, 111396432
  9835,  16,  16384,  20236,   7,   9,   2, 105607416, 111345296, 111304336, 111500848, 113948000
  9836,  16,  16384,  21770,   9,   4,   3, 114521696, 114107696, 113869056, 113863544, 113902208
  9837,  16,  16384,  21864,   4,   5,   1, 113961152, 113922032, 113594080, 113485000, 114013504
  9838,  16,  16384,  17640,   5,   0,   2, 114076504, 113931944, 114149664, 114104320, 112571200
  9839,  16,  16384,  22126,   0,   1,   1, 112739848, 113559984, 113371208, 113771568, 112895528
  9840,  16,  16384,  43834,   1,   0,   1, 113178384, 107754200, 114125688, 114155568, 113713992
  9841,  16,  16384,   3816,   0,  18,   3, 112359240, 111723680, 113444088, 113454952, 111235432
  9842,  16,  16384,  13545,  18,  18,   0, 112617360, 112436072, 106684280, 112273744, 111343976
  9843,  16,  16384,   3232,  18,  23,   2, 112514736, 112554768, 110295496, 112158304, 113318072
  9844,  16,  16384,   7141,  23,  23,   0, 112183672, 113260360, 113245872, 113212816, 113417080
  9845,  16,  16384,  23733,  23,  22,   1, 113254112, 113207984, 107501384, 113047312, 111346904
  9846,  16,  16384,   8738,  22,  22,   0, 112558920, 112593704, 112601200, 113052080, 111618016
  9847,  16,  16384,  19048,  22,  18,   2, 112824728, 112331712, 112662840, 111355864, 112652992
  9848,  16,  16384,  47970,  18,  23,   2, 112610600, 111165408, 111195152, 112428952, 113427288
  9849,  16,  16384,   8343,  23,  22,   1, 113404176, 113001840, 113101608, 113041560, 111179240
  9850,  16,  16384,  44265,  22,  21,   2, 112538136, 112273448, 111077296, 111220104, 115941528
  9851,  16,  16384,   8338,  21,  20,   1, 115995536, 108165888, 115765576, 113458672, 115550648
  9852,  16,  16384,  44083,  20,  21,   1, 115976648, 115656360, 115209048, 115289744, 114849672
  9853,  16,  16384,  42876,  21,  20,   1, 115800456, 116029824, 115645752, 114479656, 114404552
  9854,  16,  16384,  21264,  20,  20,   0, 115865152, 115400496, 115682656, 115549312, 114377128
  9855,  16,  16384,  11623,  20,   0,   3, 115520240, 115313488, 115302872, 109475224, 113635040
  9856,  16,  16384,  45503,   0,   8,   3, 112752016, 108729080, 112323896, 113595520, 114016064
  9857,  16,  16384,  49176,   8,   0,   3, 114067176, 108478264, 112903016, 113819680, 113809584
  9858,  16,  16384,   2652,   0,  12,   3, 112232208, 113700152, 113829904, 109641752, 113560728
  9859,  16,  16384,  20251,  12,  12,   0, 113979536, 109458144, 111503504, 113783040, 112445064
  9860,  16,  16384,  11133,  12,  12,   0, 113823664, 112841416, 113253024, 112365976, 113989136
  9861,  16,  16384,  17507,  12,  10,   3, 113885864, 112700944, 113685744, 113696984, 111096784
  9862,  16,  16384,  19120,  10,  10,   0, 110178504, 110914744, 111075512, 109763208, 111279384
  9863,  16,  16384,  49354,  10,   9,   2, 110942864, 110851328, 110794480, 110194912, 114024864
  9864,  16,  16384,   5895,   9,   9,   0, 108122208, 114169400, 114286976, 114328072, 113304976
  9865,  16,  16384,  32468,   9,   8,   1, 111839016, 113048848, 114167952, 114103616, 112814808
  9866,  16,  16384,  32404,   8,   8,   0, 113812304, 113618728, 113423360, 113895704, 112703048
  9867,  16,  16384,  13092,   8,   8,   0, 107824312, 113879368, 112512624, 113499696, 112506520
  9868,  16,  16384,  15211,   8,  11,   2, 113799832, 112909368, 113665512, 113971752, 111494768
  9869,  16,  16384,  25474,  11,  10,   1, 110676824, 111396368, 111421544, 111403736, 110781520
  9870,  16,  16384,  14823,  10,  11,   1, 110978448, 109970512, 103108880, 111267848, 111744792
  9871,  16,  16384,  40082,  11,   7,   2, 111534712, 111688704, 110577448, 110659840, 110147400
  9872,  16,  16384,  12105,   7,  11,   2, 111583088, 111392592, 110528816, 111705376, 109450160
  9873,  16,  16384,  14181,  11,  23,   3, 110468208, 111254184, 111477704, 111434096, 113511152
  9874,  16,  16384,  29670,  23,  23,   0, 113262616, 113236032, 113513448, 113165272, 113275280
  9875,  16,  16384,  25824,  23,  12,   3, 112193376, 111216912, 111127856, 106421528, 113601240
  9876,  16,  16384,  40648,  12,  13,   1, 107713408, 112419776, 113944896, 113587600, 113199720
  9877,  16,  16384,  30131,  13,   4,   3, 114247600, 113984680, 113992384, 114254472, 113843504
  9878,  16,  16384,  18641,   4,   5,   1, 113980952, 113882664, 106449672, 113933864, 112955840
  9879,  16,  16384,  45331,   5,   0,   2, 112986704, 112638224, 114216320, 113850208, 113814488
  9880,  16,  16384,  20955,   0,   3,   2, 113943880, 113399600, 113467984, 105212808, 111459168
  9881,  16,  16384,  46327,   3,   3,   0, 111465688, 111576992, 111396016, 110197944, 111695056
  9882,  16,  16384,  25731,   3,   2,   1, 105593424, 110156768, 111348952, 110321168, 110935752
  9883,  16,  16384,  32556,   2,   0,   2, 109940656, 110775624, 109602024, 110953784, 112670776
  9884,  16,  16384,   8659,   0,   0,   0, 111369328, 113680160, 113461904, 113795248, 113794864
  9885,  16,  16384,  17386,   0,  19,   3, 113729424, 112476864, 107538904, 113283192, 113778232
  9886,  16,  16384,  12669,  19,  20,   2, 112698088, 113089096, 111988248, 112296608, 115659304
  9887,  16,  16384,  35937,  20,  19,   2, 115478576, 115265608, 115419176, 114231832, 113292008
  9888,  16,  16384,  32390,  19,  20,   2, 112213144, 113192112, 111811616, 112143536, 115565056
  9889,  16,  16384,  14223,  20,  21,   1, 109738776, 115479368, 115085512, 115432432, 116311312
  9890,  16,  16384,  47504,  21,  23,   2, 114466224, 116019456, 115335320, 115262736, 107661672
  9891,  16,  16384,   3006,  23,  21,   2, 111940552, 113106464, 113174344, 113220792, 114795528
  9892,  16,  16384,   9410,  21,  21,   0, 116345136, 114551784, 116010864, 116012008, 114667064
  9893,  16,  16384,  15918,  21,   4,   3, 116055528, 115928640, 110173000, 115915960, 112968400
  9894,  16,  16384,  18864,   4,   4,   0, 113814720, 113809240, 112745760, 113732184, 113932712
  9895,  16,  16384,   9624,   4,   0,   2, 107847400, 112131592, 113861072, 113656832, 113505552
  9896,  16,  16384,  46502,   0,   2,   2, 113905064, 113654200, 112282120, 107485824, 110644304
  9897,  16,  16384,  31764,   2,   3,   1, 105181360, 110649024, 109201280, 110701776, 110476944
  9898,  16,  16384,  44045,   3,   2,   1, 111284656, 111372056, 111080632, 111395160, 109777232
  9899,  16,  16384,  44381,   2,   3,   1, 110882280, 110663512, 104839064, 110834616, 109166784
  9900,  16,  16384,  15183,   3,   5,   2, 106625944, 111164552, 111182288, 111193216, 107896376
  9901,  16,  16384,   5570,   5,   5,   0, 113953032, 113863072, 112651360, 113760056, 113931744
  9902,  16,  16384,  35845,   5,  17,   3, 114182776, 114397440, 114145576, 114058848, 116154176
  9903,  16,  16384,  22903,  17,  12,   2, 114578096, 115932512, 114756352, 114393992, 113886048
  9904,  16,  16384,   7758,  12,  15,   2, 113878296, 113512888, 112583072, 113985280, 111716272
  9905,  16,  16384,  47212,  15,  16,   2, 111250792, 110449496, 111565448, 111345336, 114353672
  9906,  16,  16384,  27537,  16,   9,   3, 115667784, 115588616, 115384288, 115086456, 114392536
  9907,  16,  16384,    438,   9,   7,   2, 114277008, 114034832, 112922880, 114214328, 111268992
  9908,  16,  16384,  48887,   7,  13,   3, 111579224, 111367432, 111175560, 111542848, 114418368
  9909,  16,  16384,  14949,  13,  13,   0, 114445328, 113823056, 113908016, 114160256, 113082176
  9910,  16,  16384,  25474,  13,  13,   0, 114170656, 113042512, 113423616, 114514552, 112965368
  9911,  16,  16384,  22421,  13,  12,   1, 108222488, 114186480, 114211952, 113844032, 113878968
  9912,  16,  16384,  21814,  12,  16,   2, 113867056, 113570520, 112908240, 113582608, 115449648
  9913,  16,  16384,  46281,  16,  16,   0, 115563776, 114201720, 115244048, 115501984, 109704936
  9914,  16,  16384,   2240,  16,  16,   0, 114347576, 115278816, 115205296, 115141680, 114684784
  9915,  16,  16384,   2831,  16,   5,   3, 114245264, 115141776, 115320296, 113993008, 113844928
  9916,  16,  16384,  39280,   5,   5,   0, 114136088, 113844056, 113770264, 113917816, 112737272
  9917,  16,  16384,  11614,   5,   5,   0, 108054872, 114223992, 113993408, 113958128, 114090048
  9918,  16,  16384,  19875,   5,   2,   2, 110663840, 114099560, 114031848, 114121624, 111081840
  9919,  16,  16384,   6589,   2,   9,   3, 110971584, 104670184, 110848920, 110841056, 114115648
  9920,  16,  16384,   2431,   9,   8,   1, 113217560, 114502912, 112841112, 108028800, 112658600
  9921,  16,  16384,    482,   8,   9,   1, 113665384, 112437344, 112624208, 113584608, 114489744
  9922,  16,  16384,  23773,   9,   8,   1, 113153792, 112884664, 114132472, 112964752, 108135448
  9923,  16,  16384,  15216,   8,   6,   2, 113735752, 113687376, 112124184, 112410232, 110014392
  9924,  16,  16384,  15131,   6,   6,   0, 110354024, 109907624, 109927512, 104008664, 108895240
  9925,  16,  16384,  19062,   6,   7,   1, 110183152, 109023144, 109791064, 107552304, 111264584
  9926,  16,  16384,  25915,   7,   9,   2, 111470352, 111506544, 111506312, 111400904, 112097096
  9927,  16,  16384,  14793,   9,   2,   3, 114564432, 113100184, 114272688, 114115032, 109355344
  9928,  16,  16384,  29448,   2,   2,   0, 110067024, 104919992, 110775192, 110946400, 110793240
  9929,  16,  16384,  23251,   2,  13,   3, 110788000, 110931776, 110766296, 109515016, 114204424
  9930,  16,  16384,  40050,  13,  13,   0, 114181976, 109101768, 111760424, 113999856, 114070808
  9931,  16,  16384,   6741,  13,  14,   2, 114356256, 114007368, 113111464, 114088112, 109718536
  9932,  16,  16384,   7127,  14,  15,   1, 105087208, 110925232, 110890352, 110811576, 111420672
  9933,  16,  16384,  26189,  15,  23,   3, 110284000, 111503320, 111656408, 111581792, 113367208
  9934,  16,  16384,  25823,  23,  23,   0, 113546584, 113254600, 112195032, 113547800, 113318104
  9935,  16,  16384,  41852,  23,  16,   3, 107743688, 111881416, 111726080, 113277664, 114443864
  9936,  16,  16384,  28861,  16,  17,   1, 115769960, 115787784, 115573680, 114110744, 116083664
  9937,  16,  16384,  13305,  17,   0,   3, 115901192, 114628424, 115834928, 115723872, 112931776
  9938,  16,  16384,  11522,   0,  15,   3, 113705528, 107442616, 112466064, 113767048, 110430304
  9939,  16,  16384,  11923,  15,  14,   1, 111529672, 111206736, 111203032, 111215304, 110759544
  9940,  16,  16384,  48963,  14,  14,   0, 110808360, 109545288, 110596512, 110473720, 110983896
  9941,  16,  16384,  22793,  14,  19,   3, 103796984, 110852384, 110393720, 110724936, 112899520
  9942,  16,  16384,  26175,  19,  18,   1, 112033928, 113073072, 113053344, 113026544, 112651136
  9943,  16,  16384,   5285,  18,  19,   1, 112307296, 112068672, 104116688, 112139864, 112713328
  9944,  16,  16384,  28780,  19,  23,   2, 113019224, 111855376, 112204080, 112966080, 113231576
  9945,  16,  16384,  33281,  23,  18,   2, 112919584, 110548256, 112931160, 112877984, 112093320
  9946,  16,  16384,  20090,  18,  10,   3, 112240128, 110698568, 111742544, 111453048, 110638960
  9947,  16,  16384,   8151,  10,  10,   0, 110795608, 109435600, 110685064, 110378712, 110881992
  9948,  16,  16384,  23844,  10,  19,   3, 110800608, 110595968, 108303800, 110367408, 105225248
  9949,  16,  16384,  42002,  19,  22,   2, 112776048, 112481808, 112548048, 112667728, 110883992
  9950,  16,  16384,  11226,  22,   9,   3, 112617840, 112246112, 112443712, 112324616, 114659128
  9951,  16,  16384,  35097,   9,   8,   1, 114525112, 113843008, 114169320, 114521728, 111754576
  9952,  16,  16384,  37571,   8,   8,   0, 113871008, 112646056, 112216736, 107914064, 114117600
  9953,  16,  16384,   9299,   8,  10,   2, 113991544, 113711896, 114084080, 113852096, 110807776
  9954,  16,  16384,  30827,  10,  10,   0, 112492888, 111407104, 112348920, 112263832, 112470664
  9955,  16,  16384,   1617,  10,  11,   1, 112405680, 112648488, 111443024, 111208680, 110968400
  9956,  16,  16384,  47817,  11,  11,   0, 111116104, 110420488, 105304200, 110657000, 111867424
  9957,  16,  16384,  37435,  11,  11,   0, 112769640, 113048272, 112706144, 112406248, 112560872
  9958,  16,  16384,   7360,  11,   7,   2, 113121168, 111621712, 112767472, 112671344, 112551728
  9959,  16,  16384,  46259,   7,   9,   2, 111575072, 105537496, 112642728, 112493016, 115206384
  9960,  16,  16384,   2439,   9,   9,   0, 116330088, 116051208, 116268096, 116253744, 115377920
  9961,  16,  16384,  21728,   9,   4,   3, 116245216, 115160752, 116545832, 116103920, 116242832
  9962,  16,  16384,  43671,   4,   2,   2, 115735312, 114635216, 115650984, 115816760, 110968008
  9963,  16,  16384,  19940,   2,   9,   3, 112520160, 112370544, 112466440, 111959976, 116264080
  9964,  16,  16384,  40773,   9,   8,   1, 114923976, 111900584, 113765872, 115422448, 115639240
  9965,  16,  16384,  38734,   8,  11,   2, 115976136, 115372080, 115231848, 115306080, 112680600
  9966,  16,  16384,  39066,  11,  11,   0, 112860880, 112551200, 112713880, 112844784, 112845936
  9967,  16,  16384,  22351,  11,  10,   1, 112697360, 111558568, 111397296, 112672920, 112501048
  9968,  16,  16384,   1826,  10,   2,   3, 112765872, 112354584, 111915040, 111684520, 112669544
  9969,  16,  16384,  13986,   2,   5,   2, 109949032, 106270112, 112535560, 112330312, 110023152
  9970,  16,  16384,  31675,   5,  18,   3, 116331432, 115899832, 114934200, 116118296, 114041288
  9971,  16,  16384,   5238,  18,  21,   2, 114265600, 113325512, 113529056, 112875096, 118012328
  9972,  16,  16384,  27589,  21,  21,   0, 118099520, 116710136, 117566128, 118174656, 117196536
  9973,  16,  16384,    501,  21,   4,   3, 118147432, 118230480, 117889480, 109643080, 115817152
  9974,  16,  16384,  24452,   4,   5,   1, 116277864, 115933632, 115034928, 115679152, 116463136
  9975,  16,  16384,  31012,   5,   5,   0, 116094928, 115045464, 116178288, 116047928, 116182640
  9976,  16,  16384,  42458,   5,   5,   0, 112640968, 116273080, 115925600, 115992184, 116499464
  9977,  16,  16384,  17203,   5,   3,   2, 111181752, 114839672, 115971512, 114992800, 112848800
  9978,  16,  16384,  45252,   3,   3,   0, 112649536, 112581304, 106748600, 111711832, 112810760
  9979,  16,  16384,  36811,   3,   7,   3, 111683168, 111597104, 112692704, 112725608, 113057080
  9980,  16,  16384,  21769,   7,   8,   2, 113028976, 112827512, 112713376, 112944688, 115874584
  9981,  16,  16384,  34317,   8,   9,   1, 115084800, 115531264, 114650984, 115775072, 115922992
  9982,  16,  16384,  40877,   9,  14,   3, 116551400, 116332096, 116336816, 116478824, 111948488
  9983,  16,  16384,  21888,  14,  14,   0, 112449472, 104177952, 112605288, 112468840, 112495016
  9984,  16,  16384,  23318,  14,  12,   2, 112647248, 112349440, 112245992, 112401376, 114768184
  9985,  16,  16384,  36917,  12,  13,   1, 115688384, 115328640, 115297784, 115409672, 116242416
  9986,  16,  16384,   7645,  13,   6,   3, 115423912, 115941072, 115979848, 116134728, 111930624
  9987,  16,  16384,   1479,   6,   6,   0, 111490944, 111738328, 111709264, 105914168, 111887584
  9988,  16,  16384,  35849,   6,  10,   2, 110157320, 109632496, 111704936, 110212120, 111367128
  9989,  16,  16384,  20165,  10,  20,   3, 112535856, 112384944, 112302040, 112508232, 116266752
  9990,  16,  16384,  11041,  20,  11,   3, 117651832, 117374720, 117129448, 116041600, 113085216
  9991,  16,  16384,  32929,  11,  22,   3, 113250944, 112734896, 113089592, 113034400, 114222424
  9992,  16,  16384,  12105,  22,  22,   0, 114524944, 114131872, 112930024, 114150120, 114109496
  9993,  16,  16384,  49254,  22,  11,   3, 108518232, 112638736, 114191992, 111533872, 112997480
  9994,  16,  16384,  49511,  11,  11,   0, 112247968, 113041560, 112989416, 113210472, 106540608
  9995,  16,  16384,  43037,  11,  14,   3, 113198936, 111831328, 113119784, 112657808, 112313280
  9996,  16,  16384,   5430,  14,  13,   2, 112708280, 112500968, 112395032, 112515128, 114788040
  9997,  16,  16384,  35206,  13,  16,   2, 114988464, 116111128, 114964168, 115752800, 115613336
  9998,  16,  16384,  30249,  16,  16,   0, 117800224, 117164888, 117499448, 117536448, 116391464
  9999,  16,  16384,  22464,  16,  13,   2, 117451256, 113493488, 115010832, 116014072, 116385384
 10000,  16,  16384,  21974,  13,  10,   3, 116234648, 115978752, 115932352, 115960056, 112599200
 10001,  16,  16384,  15050,  10,  11,   1, 112733936, 111439344, 111314800, 112740144, 113528152
 10002,  16,  16384,  33277,  11,   6,   2, 112160272, 113193112, 112913984, 113101128, 110817592
 10003,  16,  16384,  21463,   6,  10,   2, 111916304, 110681000, 111876256, 110566296, 111456896
 10004,  16,  16384,   4179,  10,   9,   2, 112772624, 112877040, 111466432, 112458752, 116344496
 10005,  16,  16384,   9260,   9,   8,   1, 115824608, 115559704, 115050032, 116127336, 109632984
 10006,  16,  16384,  14256,   8,   8,   0, 115622488, 115621272, 114222880, 114774448, 115971144
 10007,  16,  16384,   9247,   8,   9,   1, 115885880, 114462936, 115639504, 115585640, 115052704
 10008,  16,  16384,   3529,   9,  15,   3, 116116608, 116052792, 114247768, 110737200, 105687160
 10009,  16,  16384,  40273,  15,  15,   0, 111137632, 110250584, 111294920, 110264304, 111615320
 10010,  16,  16384,  49035,  15,  14,   1, 111669032, 111330600, 111044904, 110421576, 104698632
 10011,  16,  16384,  48889,  14,  14,   0, 110686760, 110651784, 109603408, 110813488, 110967064
 10012,  16,  16384,  47199,  14,  16,   2, 110739136, 110846808, 109691504, 110983472, 115842736
 10013,  16,  16384,  48412,  16,  16,   0, 115836576, 114148088, 108533784, 115136160, 114376168
 10014,  16,  16384,  35176,  16,  16,   0, 115528960, 115586520, 115677544, 115574568, 115452968
 10015,  16,  16384,  45991,  16,  18,   3, 114759528, 115250952, 115520472, 114361176, 112515992
 10016,  16,  16384,  28773,  18,  21,   2, 112528064, 112402432, 111970128, 111348136, 116167096
 10017,  16,  16384,  32730,  21,  20,   1, 115145560, 115931384, 114827064, 116053560, 114222376
 10018,  16,  16384,  26559,  20,  21,   1, 115568280, 114455128, 114944304, 115318224, 116302256
 10019,  16,  16384,   6195,  21,  20,   1, 116091472, 115942304, 114286880, 114852992, 115705224
 10020,  16,  16384,   2005,  20,  21,   1, 114342672, 113908984, 115266680, 114052360, 116257888
 10021,  16,  16384,  11426,  21,  18,   2, 113292784, 115936472, 116153680, 116046976, 103655032
 10022,  16,  16384,  16209,  18,  19,   1, 112608352, 111142376, 112422600, 112247072, 113492904
 10023,  16,  16384,  22745,  19,  18,   1, 112577544, 111112064, 113219472, 113290576, 112527800
 10024,  16,  16384,   5931,  18,   7,   3, 111156840, 105268904, 112383240, 111203632, 111581720
 10025,  16,  16384,  48695,   7,   6,   1, 111435408, 111581704, 111221328, 110188384, 110086008
 10026,  16,  16384,   7077,   6,  20,   3, 110145328, 110117352, 108556880, 104228176, 110001352
 10027,  16,  16384,   9467,  20,  20,   0, 114453536, 113993168, 115053616, 115137384, 114670800
 10028,  16,  16384,  11042,  20,  20,   0, 115954200, 115317880, 115318408, 115583064, 114192184
 10029,  16,  16384,  41989,  20,  21,   1, 115621704, 115050632, 115190784, 108366904, 110305384
 10030,  16,  16384,  18549,  21,  17,   3, 116322464, 113319832, 115978448, 115726832, 110602984
 10031,  16,  16384,  14234,  17,  15,   2, 114502200, 114370128, 115790272, 115690424, 111306168
 10032,  16,  16384,  15840,  15,  17,   2, 111568888, 111637400, 111453640, 110717248, 116326592
 10033,  16,  16384,  36313,  17,  14,   2, 116045704, 116024528, 108835792, 114835888, 110809904
 10034,  16,  16384,  15392,  14,  15,   1, 111038800, 109660648, 110896072, 110702488, 111579288
 10035,  16,  16384,  47117,  15,  15,   0, 110147464, 111483376, 110255872, 111608040, 110570744
 10036,  16,  16384,  44919,  15,  21,   3, 110288000, 111351496, 111170280, 111356312, 116061608
 10037,  16,  16384,    842,  21,  20,   1, 114280440, 115188632, 116006032, 115890872, 114546552
 10038,  16,  16384,  41159,  20,  17,   3, 115540480, 115663768, 114199688, 115424688, 110454352
 10039,  16,  16384,  42002,  17,  16,   1, 116033232, 114529032, 114558664, 116077296, 112222584
 10040,  16,  16384,  18351,  16,  20,   3, 114393544, 115465184, 115453880, 114186408, 115620728
 10041,  16,  16384,   9459,  20,  20,   0, 114408816, 115357128, 114264248, 115386576, 115482216
 10042,  16,  16384,  39279,  20,  20,   0, 115480712, 109710520, 114234008, 115325376, 115424336
 10043,  16,  16384,   5546,  20,  20,   0, 114330648, 115574920, 114364624, 115566016, 114463680
 10044,  16,  16384,  13673,  20,  20,   0, 115677872, 115392192, 115435472, 115311208, 107674824
 10045,  16,  16384,  21510,  20,  13,   3, 115755456, 115365240, 115111792, 113896528, 112516296
 10046,  16,  16384,   8623,  13,   9,   3, 113705848, 108096336, 113907672, 113961768, 113124352
 10047,  16,  16384,  38568,   9,   9,   0, 112997560, 114175984, 113895376, 114098248, 114201208
 10048,  16,  16384,  24131,   9,   5,   3, 108062784, 114130816, 111641904, 114138496, 114196448
 10049,  16,  16384,  36120,   5,   5,   0, 113963944, 112913752, 107771928, 113956296, 114280864
 10050,  16,  16384,  41054,   5,  15,   3, 114117224, 113872592, 111441656, 114134096, 111298976
 10051,  16,  16384,  29393,  15,  12,   2, 104692968, 111361304, 111517344, 111561832, 112936072
 10052,  16,  16384,  25770,  12,  12,   0, 113875024, 107563416, 113633576, 112386440, 113384608
 10053,  16,  16384,  27628,  12,  13,   1, 113063872, 113614952, 113835032, 113578200, 112032192
 10054,  16,  16384,  34526,  13,  16,   2, 114734136, 114235312, 114080032, 113097152, 114627384
 10055,  16,  16384,  14815,  16,  17,   1, 115755144, 114478512, 115535048, 114427408, 114829288
 10056,  16,  16384,  35749,  17,  17,   0, 116181568, 114474544, 115998880, 115852256, 114846784
 10057,  16,  16384,  49040,  17,   6,   3, 116103672, 115191696, 114912672, 115901456, 109200848
 10058,  16,  16384,  19903,   6,   6,   0, 110047464, 110009440, 109614352, 109085544, 110232544
 10059,  16,  16384,  15144,   6,   7,   1, 108999744, 110236976, 110208480, 110120456, 111069096
 10060,  16,  16384,  45671,   7,   7,   0, 111691176, 111502864, 111423416, 111202416, 111272928
 10061,  16,  16384,  13721,   7,   7,   0, 111592296, 111116888, 111623424, 111318400, 111411968
 10062,  16,  16384,  23152,   7,   6,   1, 103182832, 109723272, 111506160, 111483792, 110264264
 10063,  16,  16384,   3285,   6,   6,   0, 110083856, 108601920, 110001928, 108747232, 110210016
 10064,  16,  16384,  47909,   6,  12,   3, 110214040, 110058672, 109738896, 109870264, 113868000
 10065,  16,  16384,   6220,  12,  13,   1, 114108496, 113681944, 112704000, 113691976, 113347008
 10066,  16,  16384,  31282,  13,  13,   0, 114289336, 114330440, 114020456, 107730240, 114203992
 10067,  16,  16384,  33590,  13,  12,   1, 114397816, 113209368, 112740832, 113085160, 113738720
 10068,  16,  16384,  48745,  12,  13,   1, 114029048, 107461776, 113213576, 112435728, 108061704
 10069,  16,  16384,  25866,  13,  19,   3, 114199024, 113903480, 113954064, 112509720, 107609616
 10070,  16,  16384,  11944,  19,  22,   2, 113375248, 113230224, 112088496, 113357048, 112349720
 10071,  16,  16384,  30934,  22,   3,   3, 112553200, 112499936, 111467800, 109485464, 111614096
 10072,  16,  16384,  30823,   3,   3,   0, 110234072, 110340544, 111489496, 111597512, 105441128
 10073,  16,  16384,  26978,   3,   3,   0, 111677416, 110535704, 110629424, 111119784, 111475528
 10074,  16,  16384,  24309,   3,  10,   3, 111299920, 111396688, 110561000, 110882840, 110967584
 10075,  16,  16384,  31704,  10,  21,   3, 111112976, 110631328, 110832208, 110649408, 116299624
 10076,  16,  16384,  30340,  21,  19,   2, 116152968, 115873768, 114384512, 114789112, 113263112
 10077,  16,  16384,  35457,  19,  22,   2, 107582256, 113004736, 112477608, 112184096, 112540728
 10078,  16,  16384,  13109,  22,  22,   0, 111648320, 111145960, 111588344, 112807320, 112576368
 10079,  16,  16384,  43330,  22,  22,   0, 112496112, 112365848, 106697456, 112311760, 112383896
 10080,  16,  16384,  21309,  22,  23,   1, 111571584, 112506416, 111348864, 111571008, 113692096
 10081,  16,  16384,  39368,  23,  23,   0, 113163048, 113282488, 112978488, 113204400, 111944920
 10082,  16,  16384,   6389,  23,  23,   0, 113357432, 106014392, 111989424, 112202736, 113308912
 10083,  16,  16384,  34142,  23,   2,   3, 113450928, 113335976, 113288712, 113204064, 111090720
 10084,  16,  16384,  14481,   2,   0,   2, 109596416, 109311072, 109904336, 110846480, 112211384
 10085,  16,  16384,  26910,   0,   1,   1, 113516376, 113502992, 113384152, 113636128, 109360336
 10086,  16,  16384,  24216,   1,   1,   0, 111320664, 114083288, 114010016, 112979160, 114069856
 10087,  16,  16384,  29312,   1,   5,   2, 113041712, 114023960, 113706008, 113982040, 113080960
 10088,  16,  16384,   5315,   5,   7,   3, 114158560, 113989448, 112734720, 114033472, 110488072
 10089,  16,  16384,  17957,   7,   6,   1, 110591184, 110181896, 103907152, 111469104, 110358848
 10090,  16,  16384,   2534,   6,  10,   2, 110194192, 110156568, 110057848, 110093792, 110772904
 10091,  16,  16384,  31656,  10,  11,   1, 108768392, 109565352, 110946032, 110771376, 109302368
 10092,  16,  16384,  38269,  11,  11,   0, 111784328, 111332432, 111499096, 111531272, 111650016
 10093,  16,  16384,  40640,  11,  10,   1, 111298368, 111357544, 111114568, 111723608, 110934376
 10094,  16,  16384,  44622,  10,  16,   3, 105226888, 111001264, 110997512, 110929176, 116057032
 10095,  16,  16384,  37423,  16,  16,   0, 115379456, 114191696, 108138256, 115204024, 115587392
 10096,  16,  16384,  32756,  16,  10,   3, 115339248, 115411168, 115456536, 114141384, 111111728
 10097,  16,  16384,  35290,  10,  11,   1, 110917240, 110057944, 110910488, 110030976, 111701368
 10098,  16,  16384,  32889,  11,  10,   1, 104897888, 109848104, 110370536, 110431296, 110890240
 10099,  16,  16384,  44303,  10,   8,   2, 110851272, 110914560, 110764520, 109599632, 107754952
 10100,  16,  16384,  15309,   8,  10,   2, 112545624, 112786096, 112222552, 113862944, 107761784
 10101,  16,  16384,  40785,  10,  10,   0, 110921936, 110929976, 110529992, 110739032, 110860272
 10102,  16,  16384,  17388,  10,  10,   0, 111046512, 109958688, 110011904, 109789240, 111000352
 10103,  16,  16384,  24929,  10,  10,   0, 110996808, 109896192, 105807912, 110792992, 110897784
 10104,  16,  16384,  20798,  10,  11,   1, 111079184, 109799712, 110949568, 109760872, 104551136
 10105,  16,  16384,  19225,  11,  11,   0, 109013440, 111715728, 110544184, 111683488, 111630656
 10106,  16,  16384,  41804,  11,   8,   2, 111852984, 111484504, 111360992, 111632200, 107623752
 10107,  16,  16384,  32598,   8,   9,   1, 111539144, 113714688, 113734264, 112403880, 114180288
 10108,  16,  16384,  16393,   9,   8,   1, 111677760, 109897760, 114124296, 113784512, 113620264
 10109,  16,  16384,  21758,   8,   7,   2, 113618992, 107383056, 111484344, 113725128, 111563608
 10110,  16,  16384,   6602,   7,  13,   3, 110443856, 111450600, 111525560, 111638600, 114285488
 10111,  16,  16384,  14767,  13,  12,   1, 114188792, 114140792, 114008568, 112522800, 111309888
 10112,  16,  16384,   4614,  12,  16,   2, 113720896, 113784472, 112683656, 112564496, 115811680
 10113,  16,  16384,  33027,  16,  13,   2, 115952128, 115395704, 115547536, 115405160, 113163112
 10114,  16,  16384,   3006,  13,  12,   1, 111989656, 114297856, 114038456, 114251032, 113610864
 10115,  16,  16384,  34166,  12,  12,   0, 112768488, 113520688, 113679352, 113691760, 113897184
 10116,  16,  16384,    511,  12,  12,   0, 113669696, 113692848, 113467672, 106676272, 113361544
 10117,  16,  16384,   6396,  12,  14,   2, 112760976, 113823816, 113461936, 112388704, 111007080
 10118,  16,  16384,  30009,  14,   6,   3, 111304616, 104800216, 109672200, 110831656, 108807200
 10119,  16,  16384,  13599,   6,   6,   0, 110312880, 109876744, 110008136, 109944304, 110247728
 10120,  16,  16384,  44884,   6,   9,   2, 110346408, 109105936, 110124160, 110179432, 113136848
 10121,  16,  16384,  15718,   9,   9,   0, 112343928, 114222512, 114048160, 113951584, 108120456
 10122,  16,  16384,  31038,   9,   8,   1, 114390416, 114214432, 113721392, 114257872, 112853488
 10123,  16,  16384,  41662,   8,   8,   0, 113218376, 113680696, 113984312, 113591976, 113888200
 10124,  16,  16384,  23099,   8,   7,   2, 112510848, 113999080, 112656968, 113855576, 104295720
 10125,  16,  16384,  17833,   7,  11,   2, 111674904, 110123096, 111289488, 111118200, 110539336
 10126,  16,  16384,   5280,  11,   6,   2, 111649288, 111708536, 110702632, 111510672, 109187768
 10127,  16,  16384,  33609,   6,  21,   3, 110330176, 109690728, 109114368, 109946200, 114835256
 10128,  16,  16384,  30366,  21,  23,   2, 116224904, 110025664, 115904416, 114647600, 113408440
 10129,  16,  16384,  17016,  23,  23,   0, 112124136, 113167952, 113331816, 111931912, 113554608
 10130,  16,  16384,  39542,  23,  22,   1, 112157144, 113089944, 111900440, 113223592, 112702944
 10131,  16,  16384,  47919,  22,  22,   0, 112450224, 111077024, 112297984, 111350920, 112677736
 10132,  16,  16384,  29897,  22,   4,   3, 112697760, 111053728, 112480920, 106644856, 113877328
 10133,  16,  16384,  22574,   4,  14,   3, 114017336, 112751912, 107240008, 113727064, 104301696
 10134,  16,  16384,  19857,  14,   2,   3, 110951560, 110885944, 109794096, 109780088, 110983416
 10135,  16,  16384,  19042,   2,   2,   0, 109756136, 110743256, 110742808, 110659192, 110800824
 10136,  16,  16384,  15155,   2,   2,   0, 110957280, 110808328, 103440792, 110691904, 109694232
 10137,  16,  16384,  29733,   2,   2,   0, 109500728, 110975792, 110815776, 109556504, 111034328
 10138,  16,  16384,  40941,   2,   3,   1, 110810856, 110818704, 110691040, 110620640, 110407912
 10139,  16,  16384,  21958,   3,   2,   1, 110301488, 110482808, 111534976, 111224736, 109417864
 10140,  16,  16384,  11222,   2,   3,   1, 110986600, 110757088, 110619664, 110648248, 111208992
 10141,  16,  16384,  11785,   3,   8,   3, 111511056, 110239136, 111053144, 109086112, 114175736
 10142,  16,  16384,  23329,   8,  11,   2, 113704872, 113910536, 113527464, 113903768, 111586352
 10143,  16,  16384,  31957,  11,   9,   2, 111675472, 111593712, 111464160, 110093568, 114368648
 10144,  16,  16384,  31666,   9,  22,   3, 114489256, 114084288, 112877504, 108022104, 112499984
 10145,  16,  16384,  34329,  22,   2,   3, 112644648, 112329296, 112607016, 111130656, 103976544
 10146,  16,  16384,  46114,   2,   4,   2, 111047472, 110832064, 110737416, 110576632, 113806776
 10147,  16,  16384,  47575,   4,   4,   0, 114084264, 104884632, 112681984, 113930912, 113872576
 10148,  16,  16384,  45031,   4,  21,   3, 114011672, 113605256, 113756296, 112394696, 108334512
 10149,  16,  16384,   2339,  21,   9,   3, 115969176, 115751744, 115654904, 114634552, 114134456
 10150,  16,  16384,   2683,   9,   9,   0, 112371520, 114053656, 114437960, 114132400, 114544064
 10151,  16,  16384,  22425,   9,   9,   0, 114236032, 114379784, 113660824, 104793408, 114044616
 10152,  16,  16384,  49276,   9,   8,   1, 114447552, 114368160, 112715560, 113183336, 113758160
 10153,  16,  16384,   4112,   8,  11,   2, 112785864, 113727352, 113371536, 112401488, 111407184
 10154,  16,  16384,   3323,  11,  10,   1, 110688664, 111466120, 111345328, 105545880, 110925536
 10155,  16,  16384,  17377,  10,  10,   0, 111005424, 110853064, 110748592, 110735504, 110226904
 10156,  16,  16384,  25342,  10,   6,   2, 109856896, 110528064, 110319344, 110817960, 109988280
 10157,  16,  16384,  32856,   6,   7,   1, 110146816, 108643272, 110292832, 109948688, 105510176
 10158,  16,  16384,  47976,   7,  18,   3, 111816088, 111398312, 111279416, 111432760, 112349912
 10159,  16,  16384,  24054,  18,   9,   3, 112481936, 112204376, 111043656, 112415680, 114145424
 10160,  16,  16384,  28330,   9,   8,   1, 114404424, 113898024, 114046712, 114254056, 113872792
 10161,  16,  16384,  31517,   8,  10,   2, 112501672, 106704512, 113562824, 113617336, 110928160
 10162,  16,  16384,  38450,  10,  10,   0, 110765696, 110758480, 109522120, 110852312, 109895184
 10163,  16,  16384,  33308,  10,   8,   2, 111122496, 109712192, 110511240, 110674480, 113935608
 10164,  16,  16384,  23824,   8,  12,   3, 113430616, 113535648, 113636768, 113466032, 112530480
 10165,  16,  16384,   6805,  12,  12,   0, 106435352, 113598664, 113799864, 112531936, 113918800
 10166,  16,  16384,  27214,  12,  22,   3, 112769736, 113764960, 113560040, 113323952, 111250080
 10167,  16,  16384,    782,  22,  23,   1, 111440904, 112412632, 111236688, 112198416, 113454808
 10168,  16,  16384,  29791,  23,  23,   0, 112309536, 113302944, 113199272, 113137144, 112020664
 10169,  16,  16384,  31762,  23,  23,   0, 113622224, 113196496, 113417448, 113147632, 113390928
 10170,  16,  16384,  42948,  23,  21,   2, 110675168, 113228776, 106246568, 112889272, 116145232
 10171,  16,  16384,  38806,  21,   8,   3, 116205504, 115860280, 114757312, 115986000, 111534296
 10172,  16,  16384,  36245,   8,   8,   0, 107731744, 113774432, 112465096, 113724088, 112593392
 10173,  16,  16384,  42841,   8,  15,   3, 113626480, 113580232, 113565152, 113589368, 111426624
 10174,  16,  16384,  13401,  15,  14,   1, 111727584, 110388120, 105632880, 111701888, 110979336
 10175,  16,  16384,  49853,  14,  15,   1, 109912944, 110530832, 109440088, 104839096, 110402472
 10176,  16,  16384,  33035,  15,  16,   2, 111987752, 111805528, 110437128, 111804480, 114212608
 10177,  16,  16384,  12619,  16,  16,   0, 115878008, 115311512, 115205336, 109552712, 115368160
 10178,  16,  16384,  45334,  16,  12,   2, 115568784, 114075168, 115548632, 115241144, 113758472
 10179,  16,  16384,  29711,  12,  13,   1, 113537200, 112538760, 113560600, 113593576, 114074624
 10180,  16,  16384,  31502,  13,  15,   2, 109940360, 111279200, 113983824, 114025888, 111566056
 10181,  16,  16384,   5017,  15,  12,   2, 105610248, 111457112, 111333920, 110327032, 114181728
 10182,  16,  16384,  46562,  12,  14,   2, 113773152, 113691888, 112691488, 113703224, 110027624
 10183,  16,  16384,  33913,  14,  16,   2, 110838416, 110911200, 110713088, 110923832, 115800016
 10184,  16,  16384,  46742,  16,  17,   1, 115600904, 114982104, 115612664, 115388456, 116139264
 10185,  16,  16384,  45088,  17,  16,   1, 116157976, 115740968, 115821272, 114370992, 114589800
 10186,  16,  16384,  43957,  16,   6,   3, 115654112, 115416208, 115691336, 115388984, 110627864
 10187,  16,  16384,  27868,   6,   9,   2, 104225408, 108923696, 109982456, 110158856, 114038280
 10188,  16,  16384,  49123,   9,   9,   0, 114329152, 107928952, 114178256, 114150776, 114055720
 10189,  16,  16384,  22873,   9,   9,   0, 111779184, 113953528, 113974984, 113974184, 113576440
 10190,  16,  16384,  28151,   9,  20,   3, 112592936, 114150616, 114178608, 114025728, 115686688
 10191,  16,  16384,  47582,  20,  20,   0, 115558736, 115283664, 109573472, 115538368, 115516984
 10192,  16,  16384,  35552,  20,  21,   1, 114347064, 115562792, 114178912, 115606992, 115001576
 10193,  16,  16384,    737,  21,  21,   0, 116305536, 115837992, 115754944, 115798560, 108848984
 10194,  16,  16384,   3482,  21,  22,   2, 115951632, 115592544, 114607000, 114609888, 105227016
 10195,  16,  16384,  46504,  22,  23,   1, 112872024, 112177336, 112489576, 112258248, 113388456
 10196,  16,  16384,  40263,  23,  21,   2, 112055728, 113225048, 113136320, 111748080, 116017888
 10197,  16,  16384,  13704,  21,  10,   3, 115988392, 115895992, 115587952, 114517504, 110889792
 10198,  16,  16384,  29767,  10,  10,   0, 104999400, 108081872, 110769576, 111318136, 111119216
 10199,  16,  16384,  31055,  10,  11,   1, 111138040, 110776096, 109704464, 110859536, 110597408
 10200,  16,  16384,  35504,  11,   8,   2, 111738472, 111506016, 111634432, 111272208, 113874752
 10201,  16,  16384,  49209,   8,   9,   1, 112879112, 113360784, 112480448, 113643608, 114328896
 10202,  16,  16384,   1052,   9,   6,   2, 108148512, 113720864, 113841416, 114040864, 110251176
 10203,  16,  16384,  14305,   6,  23,   3, 109247336, 109904856, 109730376, 109718800, 107742264
 10204,  16,  16384,  24587,  23,  19,   2, 113416696, 113087144, 111810712, 113453144, 113004600
 10205,  16,  16384,   9298,  19,  22,   2, 113371520, 112804224, 113288328, 112214624, 111588536
 10206,  16,  16384,  37869,  22,  22,   0, 112764104, 112559144, 106694960, 112587344, 112537248
 10207,  16,  16384,  23426,  22,   0,   3, 112634152, 111349472, 112645232, 111114312, 113583520
 10208,  16,  16384,  26898,   0,   0,   0, 107743968, 113361864, 112494472, 113506776, 113838976
 10209,  16,  16384,   1711,   0,   0,   0, 113777056, 113743008, 112375200, 113765760, 113624048
 10210,  16,  16384,  21677,   0,   1,   1, 111430176, 113481728, 113563408, 113519552, 114222976
 10211,  16,  16384,   6292,   1,   0,   1, 114102160, 112681696, 114002840, 113884776, 112416080
 10212,  16,  16384,   8057,   0,   5,   2, 113642744, 113818464, 112677328, 112713736, 112771376
 10213,  16,  16384,  27988,   5,   2,   2, 111717296, 113968848, 114065584, 112320352, 108470096
 10214,  16,  16384,   5463,   2,   3,   1, 111015064, 110797904, 110813888, 109759064, 111180808
 10215,  16,  16384,  22764,   3,   4,   2, 110212760, 111082320, 111366696, 111327936, 113692304
 10216,  16,  16384,   2323,   4,   5,   1, 114079264, 113676120, 113743368, 113863504, 114064528
 10217,  16,  16384,  46267,   5,   5,   0, 114270600, 114010368, 113888120, 114179808, 113916152
 10218,  16,  16384,   2794,   5,   4,   1, 114165528, 113830504, 106257776, 113926824, 113746616
 10219,  16,  16384,   3935,   4,   0,   2, 114154488, 104834008, 112760808, 113783072, 111831808
 10220,  16,  16384,  23554,   0,   9,   3, 113775664, 113266880, 112583224, 113277224, 106160080
 10221,  16,  16384,  18465,   9,   8,   1, 114594072, 114335648, 113882744, 114233200, 107870888
 10222,  16,  16384,   7407,   8,   9,   1, 113913232, 111530784, 113653640, 112739360, 114024216
 10223,  16,  16384,  34293,   9,   6,   2, 114102552, 113046984, 107806224, 114072512, 110410880
 10224,  16,  16384,  32785,   6,   7,   1, 110305600, 110244200, 110173984, 109662592, 111605784
 10225,  16,  16384,   6420,   7,   8,   2, 111449472, 111457008, 109981896, 111341152, 113778712
 10226,  16,  16384,  40341,   8,   8,   0, 113872576, 113737328, 112827592, 108437728, 112720528
 10227,  16,  16384,  49787,   8,   8,   0, 112640904, 112380464, 113614816, 113810224, 113872744
 10228,  16,  16384,  13990,   8,  14,   3, 114016296, 113366328, 113711040, 113596096, 110814416
 10229,  16,  16384,  24604,  14,  15,   1, 110057592, 111061680, 109958184, 109574448, 109658112
 10230,  16,  16384,   1846,  15,  12,   2, 111527056, 110575912, 111791280, 111552016, 107787824
 10231,  16,  16384,   8993,  12,  13,   1, 113606760, 112831232, 112908160, 112404512, 114376712
 10232,  16,  16384,  10442,  13,  14,   2, 112530264, 112361720, 114135000, 114069960, 110848744
 10233,  16,  16384,  15042,  14,  15,   1, 111089256, 110835304, 110893216, 110653304, 111715800
 10234,  16,  16384,  16144,  15,  14,   1, 111276296, 111354816, 111560376, 110474024, 109642520
 10235,  16,  16384,   8300,  14,  13,   2, 105029104, 111035288, 110753264, 110914616, 114139584
 10236,  16,  16384,  40648,  13,  12,   1, 108122320, 112827600, 114042888, 113981624, 113292048
 10237,  16,  16384,   3267,  12,  12,   0, 113426792, 113275784, 113461608, 113243512, 114155120
 10238,  16,  16384,  23757,  12,  12,   0, 113917504, 107883016, 113654496, 112447536, 112758880
 10239,  16,  16384,  49671,  12,  15,   2, 112691648, 112590544, 113687664, 113414776, 111831728
 10240,  16,  16384,  13612,  15,  14,   1, 105868848, 110317192, 111573240, 111409160, 108689400
 10241,  16,  16384,  13406,  14,  10,   3, 111080232, 110642944, 110050552, 110904344, 109949784
 10242,  16,  16384,  32332,  10,   2,   3, 110901888, 110850192, 104505424, 110966392, 109706240
 10243,  16,  16384,   7849,   2,   7,   3, 111124448, 110905456, 104879544, 110913600, 111529352
 10244,  16,  16384,  31607,   7,   5,   3, 111629768, 109921744, 111483672, 109190568, 114012000
 10245,  16,  16384,  13739,   5,   0,   2, 113942104, 112802264, 114072504, 114096432, 113788256
 10246,  16,  16384,  35148,   0,   1,   1, 113773072, 113770208, 112224496, 113635488, 114259632
 10247,  16,  16384,  34890,   1,  10,   3, 114313464, 113834680, 114033744, 112854616, 109880624
 10248,  16,  16384,  15589,  10,  11,   1, 111547264, 110908024, 109521792, 109962528, 110681624
 10249,  16,  16384,  46496,  11,  10,   1, 103443304, 111433792, 110510744, 111388672, 111156192
 10250,  16,  16384,  24715,  10,  13,   3, 110763512, 109759208, 110884112, 110932776, 113657208
 10251,  16,  16384,    264,  13,  12,   1, 112376504, 113946352, 113121016, 114108904, 113719632
 10252,  16,  16384,  16867,  12,  13,   1, 107713336, 113578368, 113510064, 113652360, 114060064
 10253,  16,  16384,  32547,  13,  12,   1, 113252144, 114070520, 112981904, 112790384, 113772176
 10254,  16,  16384,  12749,  12,  13,   1, 113953624, 113971568, 107722584, 113612472, 114408136
 10255,  16,  16384,   3868,  13,  17,   2, 113917768, 114148936, 113409408, 113892624, 115999904
 10256,  16,  16384,  46571,  17,  15,   2, 110868760, 113828744, 116037848, 115818472, 111082392
 10257,  16,  16384,  37132,  15,  15,   0, 111632248, 111552384, 111522552, 111390104, 109869920
 10258,  16,  16384,  16835,  15,  15,   0, 111234552, 109265080, 111748528, 111589416, 111700392
 10259,  16,  16384,  26816,  15,  15,   0, 111479072, 111589576, 105686648, 111384000, 111458600
 10260,  16,  16384,  25239,  15,  14,   1, 111674336, 110133840, 110505176, 110234744, 110840272
 10261,  16,  16384,  14924,  14,  13,   2, 110975672, 111057288, 109658136, 110905328, 114055584
 10262,  16,  16384,  29849,  13,  17,   2, 114472624, 112873104, 113801120, 114230688, 116044864
 10263,  16,  16384,  30249,  17,  12,   2, 114807776, 109519584, 115164584, 115779416, 113602792
 10264,  16,  16384,  36586,  12,  16,   2, 112800680, 113335528, 113245632, 113709128, 114375232
 10265,  16,  16384,  10411,  16,  17,   1, 114661152, 115411256, 115356096, 115526560, 115771424
 10266,  16,  16384,  15866,  17,  14,   2, 116019944, 114289432, 115853424, 115776352, 104125064
 10267,  16,  16384,   1925,  14,  16,   2, 110833512, 110939744, 110418928, 110780936, 115707536
 10268,  16,  16384,  40811,  16,  12,   2, 115563912, 114188552, 115260192, 115477488, 112947640
 10269,  16,  16384,  20356,  12,  16,   2, 113588568, 111451464, 113894816, 112363776, 115280744
 10270,  16,  16384,  31157,  16,  17,   1, 115738384, 115513232, 115714888, 114334808, 114661880
 10271,  16,  16384,  27029,  17,  16,   1, 115904408, 114505416, 115619856, 115650224, 114362336
 10272,  16,  16384,  12893,  16,   7,   3, 115842648, 115325992, 115538128, 115616624, 111778576
 10273,  16,  16384,  30765,   7,  13,   3, 111448896, 111598936, 111224496, 111471688, 114380224
 10274,  16,  16384,  44924,  13,  22,   3, 114270184, 112608456, 114024944, 114183112, 112483136
 10275,  16,  16384,  40161,  22,   1,   3, 112651040, 111124176, 112548608, 104522792, 114190536
 10276,  16,  16384,  33408,   1,   0,   1, 114151168, 113990256, 113915192, 113797328, 113761016
 10277,  16,  16384,  19515,   0,   0,   0, 114026008, 112305728, 112677352, 113810560, 111360384
 10278,  16,  16384,  10752,   0,   0,   0, 109141032, 113614816, 113747600, 113555512, 113364968
 10279,  16,  16384,  29059,   0,   2,   2, 113736432, 113801208, 113516160, 113640128, 109791576
 10280,  16,  16384,  39080,   2,   2,   0, 109431280, 110672144, 110921896, 110727152, 110884448
 10281,  16,  16384,  26048,   2,   3,   1, 110743680, 109419840, 104975864, 110721064, 111705056
 10282,  16,  16384,  22128,   3,  19,   3, 111541760, 111159296, 111437192, 111465080, 112113832
 10283,  16,  16384,   5946,  19,  18,   1, 107853928, 111944400, 113131592, 112147008, 112553896
 10284,  16,  16384,   8660,  18,  20,   2, 111765392, 110764904, 112523120, 111023072, 115358856
 10285,  16,  16384,  46611,  20,   8,   3, 109740576, 114078808, 115182952, 115354560, 113903424
 10286,  16,  16384,   2189,   8,   7,   2, 112807208, 113795288, 113661672, 113470392, 111601784
 10287,  16,  16384,  48180,   7,   7,   0, 111691752, 111408360, 111668072, 111625280, 104118256
 10288,  16,  16384,  35258,   7,  17,   3, 111708296, 110306968, 110565528, 111432456, 108868008
 10289,  16,  16384,  34553,  17,  18,   3, 114690512, 114536720, 115648720, 115669880, 112417072
 10290,  16,  16384,  37157,  18,   9,   3, 112470920, 112242240, 111123456, 106554584, 114452128
 10291,  16,  16384,    116,   9,   8,   1, 114320168, 106847232, 113020560, 114017472, 113496000
 10292,  16,  16384,  29923,   8,   7,   2, 111758776, 113732952, 114043232, 113883696, 111312016
 10293,  16,  16384,  30774,   7,   6,   1, 111653760, 111290800, 110228152, 111118608, 110230472
 10294,  16,  16384,  16629,   6,   6,   0, 110490688, 110303824, 110422488, 110453064, 110185536
 10295,  16,  16384,  11265,   6,   6,   0, 110374440, 107571688, 110028616, 108886808, 102707984
 10296,  16,  16384,  46477,   6,  20,   3, 110173672, 110180976, 110020344, 110075944, 115695624
 10297,  16,  16384,  16486,  20,   3,   3, 115458944, 115581496, 112612280, 115570136, 111547784
 10298,  16,  16384,  12586,   3,  16,   3, 110165680, 111326304, 111214816, 111307400, 115079992
 10299,  16,  16384,  15870,  16,   4,   3, 115108000, 115354056, 109601416, 115231720, 106646224
 10300,  16,  16384,  14457,   4,   4,   0, 113813504, 112762448, 113729680, 112149608, 113907848
 10301,  16,  16384,  34736,   4,   8,   3, 113777640, 113589688, 113576248, 113661120, 112652232
 10302,  16,  16384,  44968,   8,   6,   2, 113642096, 113674688, 112744896, 112758208, 110193184
 10303,  16,  16384,  26206,   6,   9,   2, 110002720, 109972728, 109907032, 109965688, 114084192
 10304,  16,  16384,  48041,   9,   8,   1, 114474984, 113097240, 113315296, 113928208, 112931864
 10305,  16,  16384,  29157,   8,   7,   2, 114171248, 107684752, 112502880, 113589352, 111673920
 10306,  16,  16384,  49950,   7,   8,   2, 107988928, 111545856, 107709624, 108796808, 113822216
 10307,  16,  16384,  18027,   8,   9,   1, 112647024, 113412104, 113663392, 106363240, 114207872
 10308,  16,  16384,  49239,   9,  16,   3, 114012928, 114288896, 114298672, 112935384, 115530616
 10309,  16,  16384,  49188,  16,  14,   2, 114202496, 113853976, 115299080, 115482192, 110952192
 10310,  16,  16384,  40049,  14,  17,   2, 111437920, 111033328, 110663400, 111125160, 116340496
 10311,  16,  16384,  45963,  17,  17,   0, 115804608, 114328032, 115847704, 113213256, 110098920
 10312,  16,  16384,  19705,  17,   0,   3, 116210632, 115742544, 115609376, 115842888, 113894784
 10313,  16,  16384,  36808,   0,  21,   3, 113651768, 112251936, 112859880, 113362040, 113016104
 10314,  16,  16384,  17580,  21,  20,   1, 116230224, 115710984, 115697936, 115854936, 115759360
 10315,  16,  16384,  44338,  20,   5,   3, 115699576, 115088704, 115126240, 115363552, 114238520
 10316,  16,  16384,  10529,   5,  13,   3, 111696144, 113747224, 113941968, 114243880, 114360760
 10317,  16,  16384,   5473,  13,  17,   2, 113986784, 114080416, 113229672, 111615376, 115799248
 10318,  16,  16384,  37474,  17,   0,   3, 116244016, 115707064, 116209368, 114547216, 113577888
 10319,  16,  16384,  24558,   0,  15,   3, 113779344, 113721880, 111977592, 113465296, 111367104
 10320,  16,  16384,    975,  15,  14,   1, 111909880, 110283872, 111437440, 111451552, 111208424
 10321,  16,  16384,  15563,  14,  14,   0, 111225368, 110721816, 110853320, 110864208, 105116672
 10322,  16,  16384,  42345,  14,  12,   2, 109605736, 110676024, 108763672, 109830560, 113786544
 10323,  16,  16384,   8609,  12,   7,   3, 113682424, 113733816, 112462000, 112565600, 110429392
 10324,  16,  16384,  44977,   7,   9,   2, 111574984, 110300584, 111308208, 111330136, 114201864
 10325,  16,  16384,  26730,   9,   7,   2, 114296552, 113911200, 113968056, 112699320, 105239512
 10326,  16,  16384,   9109,   7,   0,   3, 111791456, 110219016, 110448472, 111516712, 113676128
 10327,  16,  16384,  31020,   0,   3,   2, 113797488, 112483696, 113280280, 113657704, 111292576
 10328,  16,  16384,  43299,   3,   9,   3, 110830360, 111379696, 111242264, 110183200, 113937352
 10329,  16,  16384,  47697,   9,   8,   1, 114076464, 113834168, 113171528, 114137008, 114088240
 10330,  16,  16384,   9345,   8,   8,   0, 114245232, 113365696, 111302888, 113543144, 107435264
 10331,  16,  16384,  46416,   8,  11,   2, 113803512, 112515112, 113558736, 113729208, 111689064
 10332,  16,  16384,   6906,  11,  10,   1, 111627904, 111141944, 111358360, 111401584, 111033840
 10333,  16,  16384,  23218,  10,   6,   2, 110795816, 108642376, 110942608, 108483552, 110360912
 10334,  16,  16384,  34210,   6,   6,   0, 110516032, 110150032, 110194496, 109832424, 108741984
 10335,  16,  16384,  20963,   6,   6,   0, 110222888, 110132608, 110181736, 109536608, 110142728
 10336,  16,  16384,  23731,   6,   9,   2, 108604152, 105961672, 106981376, 110258200, 114400472
 10337,  16,  16384,  17386,   9,   9,   0, 113456496, 113178632, 114167608, 114248768, 106946992
 10338,  16,  16384,  24771,   9,  23,   3, 114284616, 113946696, 113986024, 114437376, 113747904
 10339,  16,  16384,  29954,  23,   3,   3, 113163600, 113145048, 113242632, 113071024, 111731096
 10340,  16,  16384,  48250,   3,   2,   1, 109182736, 111542784, 111467936, 111111464, 110820344
 10341,  16,  16384,   8165,   2,  12,   3, 110788352, 110722648, 111114760, 110653120, 112627632
 10342,  16,  16384,  31384,  12,  13,   1, 113065256, 113776368, 113739376, 107672032, 113830960
 10343,  16,  16384,  48043,  13,  13,   0, 114164824, 114164088, 113012656, 113535024, 114331784
 10344,  16,  16384,  27228,  13,  16,   2, 114340096, 113100584, 113231784, 114048232, 115801480
 10345,  16,  16384,   2224,  16,  15,   2, 115398488, 115314512, 113024392, 115368104, 111759584
 10346,  16,  16384,   8437,  15,  14,   1, 111534680, 111333360, 111390504, 111511464, 110950824
 10347,  16,  16384,  21882,  14,  14,   0, 109946000, 103736656, 109463424, 110859752, 110716216
 10348,  16,  16384,    431,  14,  14,   0, 110992512, 110564832, 110672632, 109781424, 111176040
 10349,  16,  16384,  19422,  14,  15,   1, 110839672, 110652024, 110918856, 111031552, 110092384
 10350,  16,  16384,  31070,  15,  19,   3, 110748648, 110606976, 111729960, 110458968, 112536880
 10351,  16,  16384,  39877,  19,   3,   3, 113217176, 113284976, 112945040, 111835632, 111477928
 10352,  16,  16384,  26769,   3,  14,   3, 105708736, 111225912, 111403576, 111013640, 111073984
 10353,  16,  16384,  40888,  14,  15,   1, 110930384, 109848080, 110790952, 110990880, 105672360
 10354,  16,  16384,  23657,  15,   6,   3, 111729480, 111248240, 110686200, 111371552, 110214568
 10355,  16,  16384,  20396,   6,   7,   1, 110262424, 110195616, 110128656, 104191952, 111715320
 10356,  16,  16384,  23305,   7,   6,   1, 111549960, 108164112, 111474720, 111700688, 108882192
 10357,  16,  16384,  11808,   6,  14,   3, 110331568, 109913880, 110019968, 110132280, 110962144
 10358,  16,  16384,  12476,  14,  17,   2, 111184088, 109926096, 109849528, 111138768, 116168440
 10359,  16,  16384,  27817,  17,   1,   3, 116106888, 115816576, 116159208, 115619760, 114148256
 10360,  16,  16384,  13390,   1,   0,   1, 112732128, 113209240, 113741864, 113742312, 111088360
 10361,  16,  16384,  21848,   0,   1,   1, 113882944, 113852944, 112677584, 113824040, 114146248
 10362,  16,  16384,  48589,   1,   0,   1, 114090808, 107767288, 114098408, 112089256, 113731232
 10363,  16,  16384,  34272,   0,   7,   3, 111438160, 113668520, 113644192, 112124352, 111521992
 10364,  16,  16384,  46377,   7,   7,   0, 111750720, 110318552, 105311872, 111455792, 111297240
 10365,  16,  16384,   1092,   7,   3,   3, 111484440, 107569056, 111258200, 111292600, 110540360
 10366,  16,  16384,   2605,   3,   2,   1, 106924688, 111398368, 111740992, 111135184, 110963024
 10367,  16,  16384,   8167,   2,   3,   1, 110862768, 106371832, 109106656, 110578288, 110162232
 10368,  16,  16384,  12201,   3,   3,   0, 111218304, 111409392, 111370416, 105229272, 111513160
 10369,  16,  16384,  32749,   3,   2,   1, 111857128, 110879320, 110388040, 111345056, 110936576
 10370,  16,  16384,  14347,   2,  23,   3, 110765696, 110561224, 109684768, 109284192, 113249088
 10371,  16,  16384,  40932,  23,  21,   2, 112113808, 113312384, 113343640, 113455944, 114605384
 10372,  16,  16384,  27681,  21,  22,   2, 115931968, 115820600, 115823904, 114371264, 112718192
 10373,  16,  16384,  33984,  22,  23,   1, 112401664, 105585400, 112411264, 111009512, 113160608
 10374,  16,  16384,  14936,  23,  23,   0, 112252792, 113281072, 113469168, 110473808, 113554688
 10375,  16,  16384,  16766,  23,  22,   1, 113346584, 107439800, 111799712, 113108368, 111434384
 10376,  16,  16384,  33491,  22,  20,   2, 112776240, 112261312, 112482392, 111403744, 115282672
 10377,  16,  16384,  47258,  20,  11,   3, 114314808, 114106456, 115513184, 115427888, 111762000
 10378,  16,  16384,  38010,  11,  11,   0, 111818800, 111728264, 111420344, 110142720, 110972064
 10379,  16,  16384,  47887,  11,  16,   3, 111911232, 105300448, 111410232, 111504936, 115444336
 10380,  16,  16384,  37492,  16,  17,   1, 115324112, 109509952, 114983512, 115348752, 116089768
 10381,  16,  16384,  39915,  17,  16,   1, 115758000, 114748744, 115506864, 115899608, 115686824
 10382,  16,  16384,  12790,  16,  21,   3, 115782888, 115058512, 113874808, 110972448, 115049008
 10383,  16,  16384,  27523,  21,  21,   0, 115929280, 115873304, 110181840, 114420168, 115773272
 10384,  16,  16384,   3376,  21,  23,   2, 115893736, 115712296, 115716592, 113311200, 113237536
 10385,  16,  16384,  12220,  23,   9,   3, 111452256, 112774776, 113436896, 113388520, 114095072
 10386,  16,  16384,  48655,   9,   6,   2, 111610544, 114001600, 114065472, 114072576, 110082560
 10387,  16,  16384,   2245,   6,   6,   0, 110156000, 109971968, 109810272, 110044696, 108218432
 10388,  16,  16384,  11743,   6,   8,   2, 109500104, 109926688, 108853000, 110155584, 113695600
 10389,  16,  16384,  35358,   8,   9,   1, 113843968, 113646016, 113601200, 111266512, 111707144
 10390,  16,  16384,  25971,   9,   8,   1, 111051288, 114131480, 113929040, 114157136, 107784120
 10391,  16,  16384,   8065,   8,   6,   2, 113936472, 113808120, 113157432, 113338288, 109897496
 10392,  16,  16384,  49052,   6,   6,   0, 110088800, 109927120, 109035424, 108595248, 109586824
 10393,  16,  16384,  11738,   6,  11,   2, 109926248, 110325032, 110299040, 108870432, 111247936
 10394,  16,  16384,   9877,  11,   7,   2, 111257704, 111625616, 111428040, 111592296, 111327928
 10395,  16,  16384,   1372,   7,  12,   3, 109341368, 111519088, 111419208, 111388040, 113663600
 10396,  16,  16384,  18771,  12,  13,   1, 113928320, 113470816, 113731072, 113409672, 113880376
 10397,  16,  16384,  35370,  13,  13,   0, 108109184, 113841080, 113760584, 114008432, 114379984
 10398,  16,  16384,  27889,  13,   8,   3, 112245464, 114054992, 111697040, 114041728, 114199048
 10399,  16,  16384,  11034,   8,   1,   3, 111923280, 113020728, 112311688, 113632992, 113962528
 10400,  16,  16384,   3317,   1,   0,   1, 114368568, 114292256, 111540376, 113969960, 113446448
 10401,  16,  16384,  14792,   0,   0,   0, 113934608, 112728528, 113545336, 111116856, 107580768
 10402,  16,  16384,  23245,   0,   2,   2, 113828512, 113488872, 112558240, 113221752, 109481848
 10403,  16,  16384,   6020,   2,   2,   0, 111002608, 110683304, 110703624, 110584712, 109820112
 10404,  16,  16384,  42779,   2,   2,   0, 110991200, 110740688, 108280728, 110900856, 111068744
 10405,  16,  16384,  19693,   2,   2,   0, 111105920, 110548024, 109267136, 110753232, 110826800
 10406,  16,  16384,  42553,   2,   3,   1, 111068656, 109916360, 110561104, 110970544, 111583056
 10407,  16,  16384,  48717,   3,   1,   2, 111813048, 109950296, 105333368, 110118664, 112951792
 10408,  16,  16384,   1001,   1,   0,   1, 114196928, 113902872, 113685080, 113993248, 107769488
 10409,  16,  16384,  40521,   0,   2,   2, 113803048, 112684512, 113706936, 113930000, 109445984
 10410,  16,  16384,  13614,   2,   0,   2, 110985256, 110519816, 110546552, 109779128, 113975976
 10411,  16,  16384,  16219,   0,   1,   1, 111194776, 107464040, 113739968, 112398008, 114060712
 10412,  16,  16384,   4211,   1,   3,   2, 114249896, 106064336, 112852208, 112589032, 111400056
 10413,  16,  16384,  21028,   3,   6,   3, 110477400, 110229344, 111559944, 111407984, 110186968
 10414,  16,  16384,   9266,   6,   6,   0, 110731000, 110202800, 110116336, 110146896, 103527640
 10415,  16,  16384,  38411,   6,  21,   3, 110147088, 110229936, 108582344, 110195496, 115804416
 10416,  16,  16384,  29214,  21,  18,   2, 116144536, 116053776, 115883448, 116060112, 112578344
 10417,  16,  16384,  45102,  18,  18,   0, 112499784, 111015280, 112343792, 111012784, 112824064
 10418,  16,  16384,  20360,  18,  18,   0, 111296544, 110917624, 112147832, 106677312, 112481656
 10419,  16,  16384,  22866,  18,  11,   3, 112596856, 112285664, 112355744, 110870304, 111616728
 10420,  16,  16384,  24716,  11,  10,   1, 111721496, 111801880, 110241248, 111368176, 110992912
 10421,  16,  16384,  28062,  10,  11,   1, 109892080, 110844672, 110837712, 110758392, 111526864
 10422,  16,  16384,  24417,  11,  15,   3, 111530024, 105451144, 111599904, 110185744, 111772048
 10423,  16,  16384,  49203,  15,   9,   3, 111667240, 110225648, 111377288, 110654376, 113006352
 10424,  16,  16384,   8434,   9,  18,   3, 108497096, 114009768, 114306544, 113840696, 112302000
 10425,  16,  16384,  45385,  18,  18,   0, 110561856, 111342152, 112391704, 112453568, 112422104
 10426,  16,  16384,  34050,  18,  18,   0, 112597928, 112469984, 111171560, 112337416, 112532568
 10427,  16,  16384,  44775,  18,  19,   1, 112407304, 110382280, 110759696, 112705224, 110273096
 10428,  16,  16384,  43323,  19,  18,   1, 111002912, 112140408, 113092312, 113088992, 112356880
 10429,  16,  16384,  11432,  18,  18,   0, 112614864, 112669688, 109729400, 111016400, 112728224
 10430,  16,  16384,  31452,  18,  21,   2, 113005584, 112412576, 112410888, 106683672, 116009336
 10431,  16,  16384,  20753,  21,   3,   3, 116032752, 115773944, 115919296, 115606128, 104293912
 10432,  16,  16384,  42095,   3,  20,   3, 111441632, 111527992, 111344696, 110052728, 115665848
 10433,  16,  16384,   2954,  20,  23,   2, 115613568, 115099248, 115417360, 115453608, 113349704
 10434,  16,  16384,  33062,  23,  22,   1, 113082024, 110627208, 111965560, 113221960, 112561288
 10435,  16,  16384,  49708,  22,   8,   3, 112515616, 112530640, 112513600, 105233848, 113878400
 10436,  16,  16384,  37837,   8,   8,   0, 112747904, 113588560, 112724720, 113597112, 113777648
 10437,  16,  16384,  29606,   8,   9,   1, 113076576, 111757072, 107858472, 113800768, 114338712
 10438,  16,  16384,  10512,   9,   8,   1, 114272752, 113971160, 113862008, 114047360, 114252088
 10439,  16,  16384,  40457,   8,  19,   3, 113669176, 113789464, 113634600, 111375040, 113321256
 10440,  16,  16384,  40017,  19,  15,   3, 113284576, 107545656, 113257448, 111584696, 110727856
 10441,  16,  16384,  31823,  15,  15,   0, 111872624, 110449752, 111381768, 105535784, 111704040
 10442,  16,  16384,  18020,  15,  14,   1, 111765304, 111435424, 111212896, 110325568, 110991528
 10443,  16,  16384,   2030,  14,  15,   1, 111043032, 110837992, 110794224, 110726464, 111462376
 10444,  16,  16384,   7466,  15,  14,   1, 105787416, 111515368, 111244680, 111367472, 110913568
 10445,  16,  16384,  16524,  14,  15,   1, 109887104, 103848896, 110791624, 110833480, 111596592
 10446,  16,  16384,  24883,  15,   4,   3, 112193360, 110288968, 111485888, 106034824, 114074120
 10447,  16,  16384,  44910,   4,   5,   1, 113742856, 113510272, 113918240, 114086536, 114071648
 10448,  16,  16384,  31380,   5,   2,   2, 114238112, 107936752, 113819720, 113986080, 110418080
 10449,  16,  16384,  22214,   2,   3,   1, 109562680, 110705168, 110802064, 109513200, 109787288
 10450,  16,  16384,  46985,   3,   7,   3, 111595752, 111247736, 111241840, 111214376, 104252304
 10451,  16,  16384,  42694,   7,   8,   2, 109097040, 111447384, 111308160, 111398808, 113848584
 10452,  16,  16384,   3428,   8,   8,   0, 113868024, 113549760, 113488992, 112298392, 113486056
 10453,  16,  16384,  13095,   8,   8,   0, 113314664, 112462464, 113551280, 104961024, 113655184
 10454,  16,  16384,  48032,   8,  20,   3, 113914864, 113726632, 113627864, 113819640, 115636024
 10455,  16,  16384,  35142,  20,  17,   3, 114065352, 109718984, 114046000, 113868688, 116081536
 10456,  16,  16384,  17160,  17,  16,   1, 116003440, 115859224, 115817936, 115786288, 109808408
 10457,  16,  16384,  39255,  16,  17,   1, 115506960, 115180152, 114193416, 114094888, 110357224
 10458,  16,  16384,  26622,  17,  17,   0, 115853064, 115738848, 115550768, 115926248, 116142584
 10459,  16,  16384,  46707,  17,  12,   2, 116347088, 115537976, 114674528, 115453576, 113773376
 10460,  16,  16384,  44720,  12,  13,   1, 112794104, 113637392, 113512624, 112636376, 113539832
 10461,  16,  16384,    393,  13,  12,   1, 113878064, 114039912, 112794520, 113919944, 107642608
 10462,  16,  16384,  15598,  12,  13,   1, 113052872, 113788392, 112809472, 113851456, 114378896
 10463,  16,  16384,  46563,  13,  17,   2, 114108704, 113931312, 112818344, 113931328, 114375776
 10464,  16,  16384,  16658,  17,  17,   0, 114722640, 115903296, 115913376, 114690736, 114997576
 10465,  16,  16384,  37882,  17,   1,   3, 115897368, 109628824, 115725768, 115880928, 114157976
 10466,  16,  16384,  12383,   1,   2,   2, 113996328, 114123920, 112924608, 113800496, 109382456
 10467,  16,  16384,  35183,   2,  16,   3, 103924136, 110638192, 110593456, 110684712, 115510904
 10468,  16,  16384,  31745,  16,  15,   2, 115439848, 115405792, 109884120, 114061168, 111662168
 10469,  16,  16384,   9898,  15,  16,   2, 111710104, 111286856, 111102696, 111649440, 115401048
 10470,  16,  16384,  18473,  16,  21,   3, 115669688, 115348544, 115451656, 115402968, 115647144
 10471,  16,  16384,  39555,  21,  12,   3, 115269256, 115814888, 114447136, 114495696, 114058632
 10472,  16,  16384,  36737,  12,  15,   2, 113834720, 113815088, 113205408, 113698032, 110785088
 10473,  16,  16384,  21138,  15,  16,   2, 110568464, 111250456, 111408976, 111386200, 115751768
 10474,  16,  16384,  27147,  16,  17,   1, 115456128, 114167888, 115565232, 115442240, 115906528
 10475,  16,  16384,  39701,  17,  13,   2, 115909656, 115754960, 109467904, 114949928, 111820912
 10476,  16,  16384,  16336,  13,  13,   0, 114117832, 108330392, 114005464, 113761680, 114108560
 10477,  16,  16384,  36879,  13,  12,   1, 114094808, 113954064, 114124640, 113946216, 112116680
 10478,  16,  16384,  17571,  12,   4,   3, 112804224, 113647256, 113786544, 113642824, 113748808
 10479,  16,  16384,  17262,   4,   3,   2, 113773472, 113900840, 112844672, 112704392, 110494712
 10480,  16,  16384,  10982,   3,   3,   0, 111140632, 111131048, 111324320, 111493488, 111533192
 10481,  16,  16384,  10614,   3,  12,   3, 107849736, 106991136, 111019136, 111295336, 113503360
 10482,  16,  16384,   1846,  12,   2,   3, 112822448, 113639440, 113568688, 107566768, 109271904
 10483,  16,  16384,  15990,   2,   3,   1, 110817680, 110805504, 110776072, 109286040, 110346920
 10484,  16,  16384,  34317,   3,   3,   0, 111487784, 109891112, 111085584, 111078616, 109982512
 10485,  16,  16384,  43695,   3,   3,   0, 111433064, 111363960, 111167320, 111243120, 110466208
 10486,  16,  16384,  35962,   3,   4,   2, 105588432, 110079376, 111426736, 110420528, 113871976
 10487,  16,  16384,  49689,   4,  19,   3, 113738200, 112374192, 112542840, 106526056, 112046944
 10488,  16,  16384,  30514,  19,  18,   1, 112274584, 112102488, 107513104, 113363640, 112849552
 10489,  16,  16384,  20998,  18,   7,   3, 112541136, 110036016, 112406728, 106815856, 111678040
 10490,  16,  16384,  45660,   7,  11,   2, 111432944, 105434504, 109076584, 111683784, 110495712
 10491,  16,  16384,  45824,  11,  11,   0, 111693256, 111280992, 110031944, 111517680, 111382736
 10492,  16,  16384,  33937,  11,  11,   0, 111828464, 111612088, 110226272, 111408680, 107304432
 10493,  16,  16384,  33203,  11,  10,   1, 111523888, 110417024, 111344864, 110465160, 110787024
 10494,  16,  16384,  15295,  10,  16,   3, 110005176, 111287096, 102912872, 110937528, 115872656
 10495,  16,  16384,  10148,  16,  17,   1, 115421640, 115226256, 115634648, 115509688, 116042536
 10496,  16,  16384,  13108,  17,  22,   3, 113641408, 115841232, 110143488, 114704784, 112926520
 10497,  16,  16384,  28620,  22,  23,   1, 112550072, 112555008, 112539568, 112262472, 113474384
 10498,  16,  16384,    586,  23,  21,   2, 111860032, 112082504, 113325704, 113378448, 116421528
 10499,  16,  16384,  44878,  21,  20,   1, 114668272, 115866000, 115721280, 115719384, 115530760
 10500,  16,  16384,   7985,  20,   5,   3, 115585264, 114937288, 114605896, 114194424, 114137456
 10501,  16,  16384,  39686,   5,   5,   0, 114021232, 112969976, 113771416, 114204120, 114174072
 10502,  16,  16384,   9259,   5,  13,   3, 111108640, 113903104, 114305448, 114293456, 114367368
 10503,  16,  16384,  37873,  13,  11,   3, 114361376, 112868216, 113931720, 114295864, 111733016
 10504,  16,  16384,  12330,  11,  11,   0, 105786432, 110332536, 111492584, 111296912, 111634384
 10505,  16,  16384,  13279,  11,   6,   2, 111760664, 111178016, 111472344, 111277984, 108981104
 10506,  16,  16384,  23977,   6,  23,   3, 110445096, 110009832, 109045616, 109937896, 111523512
 10507,  16,  16384,  48926,  23,  20,   2, 112181552, 113324664, 113055256, 113166048, 114417280
 10508,  16,  16384,  45612,  20,  21,   1, 115536536, 115482784, 109384704, 115223776, 115833552
 10509,  16,  16384,  47318,  21,  21,   0, 108044216, 115654616, 115777912, 115442248, 113516656
 10510,  16,  16384,  32631,  21,  20,   1, 116178088, 115971952, 114688640, 116103144, 115600512
 10511,  16,  16384,   2556,  20,  20,   0, 115781896, 115117320, 115331440, 114438176, 114433016
 10512,  16,  16384,   7377,  20,  12,   3, 115754400, 112857472, 115518328, 115632008, 114193120
 10513,  16,  16384,  28101,  12,  12,   0, 113502848, 112721808, 113667672, 113483080, 113666016
 10514,  16,  16384,  12257,  12,  13,   1, 111545048, 113582520, 107133216, 113255376, 114253104
 10515,  16,  16384,  46480,  13,  14,   2, 108196536, 114013544, 113888840, 112693728, 110499552
 10516,  16,  16384,  13759,  14,  15,   1, 110086352, 110889792, 110606160, 109906432, 111943736
 10517,  16,  16384,  31755,  15,  17,   2, 111624816, 111802000, 111408120, 111415096, 110112792
 10518,  16,  16384,  22283,  17,  17,   0, 115903184, 114831312, 116058232, 115697728, 114832736
 10519,  16,  16384,    516,  17,   2,   3, 116376384, 115867176, 115714024, 116104648, 110742888
 10520,  16,  16384,   6201,   2,   3,   1, 110825640, 110938280, 109782928, 110759800, 111623216
 10521,  16,  16384,  26283,   3,  11,   3, 111519656, 111271664, 111332456, 111351664, 111611568
 10522,  16,  16384,  47296,  11,  20,   3, 111562968, 110349880, 111685184, 109350248, 115454088
 10523,  16,  16384,   6581,  20,  23,   2, 114362392, 113995712, 115264568, 114564152, 113258552
 10524,  16,  16384,  34140,  23,  22,   1, 113462736, 113413976, 112022176, 113394512, 111470280
 10525,  16,  16384,  47834,  22,   5,   3, 112555128, 111965048, 112308696, 111119936, 114113680
 10526,  16,  16384,  31301,   5,   4,   1, 114229816, 114027280, 113851504, 113212224, 114243144
 10527,  16,  16384,  12122,   4,   2,   2, 113932872, 112517536, 113912472, 112752176, 107977480
 10528,  16,  16384,   2603,   2,   0,   2, 110481648, 110797552, 109536664, 109573416, 113436440
 10529,  16,  16384,  16176,   0,   1,   1, 112772080, 113489528, 113579152, 113479416, 111271896
 10530,  16,  16384,  20275,   1,   0,   1, 114139024, 113970720, 113557312, 108098024, 113887432
 10531,  16,  16384,  46098,   0,   0,   0, 113650928, 107471968, 112316608, 113500648, 113644168
 10532,  16,  16384,   4645,   0,   1,   1, 112595408, 113568344, 112565872, 113608344, 112958272
 10533,  16,  16384,   4467,   1,   4,   2, 114088488, 113739984, 112629384, 113214216, 112774216
 10534,  16,  16384,  48041,   4,   0,   2, 113895968, 113996536, 113856920, 112343680, 113920728
 10535,  16,  16384,   5498,   0,   5,   2, 112625056, 113635280, 113754928, 113662192, 113668216
 10536,  16,  16384,  20782,   5,   4,   1, 113221808, 113713440, 114027240, 114225392, 107803512
 10537,  16,  16384,  25531,   4,   4,   0, 111414888, 114004584, 113720720, 112638536, 113916280
 10538,  16,  16384,  25801,   4,   4,   0, 113772776, 113806152, 113807784, 113567336, 113846248
 10539,  16,  16384,  25735,   4,   5,   1, 113831168, 113940640, 110542808, 105090008, 114000128
 10540,  16,  16384,  28085,   5,   4,   1, 114068280, 113885088, 112907200, 113162552, 113818688
 10541,  16,  16384,  38911,   4,   4,   0, 112673912, 113826472, 113577128, 113807232, 105909176
 10542,  16,  16384,  15603,   4,   5,   1, 113862240, 112460792, 113433048, 113623320, 113443928
 10543,  16,  16384,      0,   5,   8,   3, 114029800, 113982424, 114226208, 110978472, 112565096
 10544,  16,  16384,  39659,   8,   9,   1, 113634504, 107655776, 111427480, 113987008, 114347048
 10545,  16,  16384,  16208,   9,   8,   1, 114549240, 108033760, 113870976, 114397192, 113166792
 10546,  16,  16384,  20287,   8,  19,   3, 113201536, 112692688, 113674400, 108197640, 113604464
 10547,  16,  16384,  44032,  19,  18,   1, 113651640, 113430760, 113309800, 110659608, 111531344
 10548,  16,  16384,  38570,  18,  18,   0, 112407856, 111311896, 112431344, 112463720, 112227352
 10549,  16,  16384,   3098,  18,  18,   0, 111575488, 112407016, 111336696, 112316456, 112479416
 10550,  16,  16384,  21142,  18,  19,   1, 112729248, 111154632, 106500624, 111462296, 113285808
 10551,  16,  16384,  42959,  19,  21,   2, 112061792, 113118896, 113256552, 113258800, 115600936
 10552,  16,  16384,  49468,  21,  21,   0, 115285832, 115821944, 116025384, 113517152, 116046536
 10553,  16,  16384,  10479,  21,  21,   0, 116046288, 114558632, 109627752, 115637744, 116308712
 10554,  16,  16384,  19284,  21,   9,   3, 115825384, 114398768, 116270864, 115994304, 114314720
 10555,  16,  16384,  44952,   9,  11,   2, 113262392, 113755184, 114310560, 114208712, 111582048
 10556,  16,  16384,  12936,  11,  10,   1, 111632504, 105301168, 110442120, 111224464, 111080328
 10557,  16,  16384,  45748,  10,  10,   0, 104045664, 110809248, 110832376, 110577856, 110894640
 10558,  16,  16384,  17233,  10,  10,   0, 110422904, 110406208, 110602256, 109947936, 111091024
 10559,  16,  16384,  34948,  10,  10,   0, 110200680, 110666456, 109893352, 104964720, 110952648
 10560,  16,  16384,  48052,  10,   9,   2, 111180296, 110860024, 110819136, 109624784, 114283872
 10561,  16,  16384,  41607,   9,   8,   1, 114217432, 108109912, 113952976, 113654984, 113964880
 10562,  16,  16384,  49216,   8,   9,   1, 106681880, 113981536, 113295888, 112809784, 113172488
 10563,  16,  16384,  44205,   9,   7,   2, 114206832, 114019928, 107836952, 114005608, 111607296
 10564,  16,  16384,  12073,   7,   8,   2, 110178720, 111376640, 111366152, 111221744, 114048184
 10565,  16,  16384,  41084,   8,   8,   0, 114107808, 113369016, 113853720, 113853784, 113708336
 10566,  16,  16384,  30915,   8,   8,   0, 113829960, 112678216, 112604784, 112901344, 113924392
 10567,  16,  16384,  31248,   8,  10,   2, 112638568, 113349296, 113749480, 113731248, 110793064
 10568,  16,  16384,   8667,  10,   1,   3, 111052416, 103099760, 110733264, 110806120, 114168520
 10569,  16,  16384,  47644,   1,  14,   3, 108038256, 114221504, 113825352, 113074784, 110378728
 10570,  16,  16384,   6425,  14,  20,   3, 110738880, 110795512, 110925160, 109921328, 114428896
 10571,  16,  16384,  37340,  20,  20,   0, 115700376, 114379128, 113982264, 115273560, 109985016
 10572,  16,  16384,  23744,  20,  21,   1, 114273960, 115134856, 115432216, 115354544, 116145632
 10573,  16,  16384,  28887,  21,  21,   0, 114487368, 116103616, 115826120, 113160152, 116131496
 10574,  16,  16384,  11538,  21,  22,   2, 116165288, 115939080, 110124624, 116130824, 112522744
 10575,  16,  16384,  40288,  22,  23,   1, 112638784, 111249624, 112382488, 112311808, 111867128
 10576,  16,  16384,  13634,  23,  20,   2, 113472352, 112682800, 107999624, 111956984, 115614408
 10577,  16,  16384,  34895,  20,  18,   2, 115440896, 115205568, 115614576, 115328192, 111592616
 10578,  16,  16384,  35452,  18,  18,   0, 112630000, 106392840, 112128592, 111331424, 111270992
 10579,  16,  16384,  39105,  18,   0,   3, 112548096, 112300816, 112464296, 111822360, 107755256
 10580,  16,  16384,  31285,   0,  18,   3, 113775648, 113563416, 112195440, 112202552, 111252184
 10581,  16,  16384,   6075,  18,   0,   3, 111156432, 112362272, 112342592, 112498392, 113801864
 10582,  16,  16384,  23799,   0,   1,   1, 113746256, 113637120, 107564304, 113754344, 114078024
 10583,  16,  16384,  24404,   1,   1,   0, 112989512, 113993792, 113940176, 112712944, 114056656
 10584,  16,  16384,   5321,   1,   0,   1, 113983424, 113838040, 112816824, 113880152, 113582048
 10585,  16,  16384,   7340,   0,   8,   3, 112625208, 113651384, 112191744, 113817176, 113508728
 10586,  16,  16384,  34360,   8,   8,   0, 113774296, 112636712, 113558872, 113944488, 113470792
 10587,  16,  16384,  17931,   8,  10,   2, 113851904, 112959160, 113656864, 105236720, 108414032
 10588,  16,  16384,  40963,  10,  11,   1, 111382600, 110795160, 110898400, 110893400, 111409104
 10589,  16,  16384,  33771,  11,  11,   0, 111338112, 105388992, 111762872, 111698224, 110621176
 10590,  16,  16384,   8024,  11,  12,   3, 110494192, 111590016, 111869144, 111827440, 112860208
 10591,  16,  16384,  42614,  12,  13,   1, 113892760, 113711944, 113537760, 113577344, 114302824
 10592,  16,  16384,  13166,  13,  13,   0, 114280992, 113938192, 113121512, 114073728, 114307496
 10593,  16,  16384,  38974,  13,  12,   1, 113397144, 113396552, 114350208, 114017704, 113704528
 10594,  16,  16384,   5223,  12,  13,   1, 112655624, 113715648, 106210552, 113643184, 113041088
 10595,  16,  16384,  40007,  13,  13,   0, 114491568, 114101240, 113533264, 112025248, 114191784
 10596,  16,  16384,  39184,  13,  12,   1, 111413472, 110874816, 113203064, 114284360, 113539304
 10597,  16,  16384,  42233,  12,  12,   0, 112518704, 113323976, 113062760, 113047512, 112676208
 10598,  16,  16384,  47850,  12,   6,   3, 113875488, 113908392, 113728592, 112660576, 109061896
 10599,  16,  16384,   5842,   6,   9,   2, 110075216, 110035496, 109909144, 109923256, 113482184
 10600,  16,  16384,  14308,   9,   8,   1, 112935464, 114017744, 114134288, 114090888, 112502480
 10601,  16,  16384,  12611,   8,  10,   2, 113887080, 112541840, 113843392, 113834512, 110515568
 10602,  16,  16384,   8540,  10,  10,   0, 110520488, 110770680, 104855328, 110690016, 111049920
 10603,  16,  16384,  49140,  10,  11,   1, 110876792, 110981856, 109608424, 110340744, 110602904
 10604,  16,  16384,  29638,  11,   6,   2, 111702024, 111537912, 111509784, 111286792, 110142384
 10605,  16,  16384,  21754,   6,   8,   2, 110194208, 110112328, 109652200, 110098440, 113334896
 10606,  16,  16384,  36501,   8,   9,   1, 114035560, 113594512, 113927272, 112550896, 114281808
 10607,  16,  16384,   1108,   9,   9,   0, 113231744, 114242912, 113796088, 113580344, 113357992
 10608,  16,  16384,  20310,   9,   6,   2, 109189856, 113859848, 113968352, 114147792, 108939408
 10609,  16,  16384,  46993,   6,   9,   2, 110288416, 108829280, 109964152, 110016656, 112895560
 10610,  16,  16384,  10935,   9,   9,   0, 113974464, 114054016, 107831800, 114029256, 114043768
 10611,  16,  16384,  47273,   9,  16,   3, 113992352, 114114968, 111823288, 113956488, 115662728
 10612,  16,  16384,   3106,  16,  15,   2, 115721976, 114075176, 114391056, 113999816, 111528264
 10613,  16,  16384,  29214,  15,  19,   3, 111829256, 111437432, 111633320, 111277416, 112014600
 10614,  16,  16384,  27881,  19,  12,   3, 113658512, 113207984, 113404328, 111895208, 112825472
 10615,  16,  16384,  46470,  12,  17,   2, 112487160, 113649448, 113686808, 113475984, 108771968
 10616,  16,  16384,  48933,  17,  16,   1, 116414248, 115994088, 114663960, 114807288, 112000352
 10617,  16,  16384,  31998,  16,  17,   1, 114661576, 115587112, 115418696, 115343128, 115521312
 10618,  16,  16384,   8493,  17,  18,   3, 114894256, 110080432, 116146056, 114421208, 112576856
 10619,  16,  16384,  40295,  18,  19,   1, 106167344, 111862560, 110911008, 111037648, 113281048
 10620,  16,  16384,   8095,  19,  19,   0, 113290592, 111528056, 113315336, 113157032, 113349976
 10621,  16,  16384,  23981,  19,  15,   3, 113665728, 111458904, 112237872, 111967456, 110307160
 10622,  16,  16384,  11295,  15,   9,   3, 110604528, 111441312, 111507568, 110584672, 114339712
 10623,  16,  16384,    717,   9,  18,   3, 112250320, 114068664, 113217896, 113827008, 106912200
 10624,  16,  16384,  29070,  18,  18,   0, 111351144, 111308320, 112441080, 111079592, 112888416
 10625,  16,  16384,  46905,  18,  20,   2, 112694888, 112415096, 112363896, 112595840, 112722328
 10626,  16,  16384,   5659,  20,  20,   0, 113278968, 115497424, 115486000, 115620376, 115724008
 10627,  16,  16384,  29293,  20,  22,   2, 115575832, 115497944, 115548568, 115506872, 112528624
 10628,  16,  16384,  32128,  22,  22,   0, 112586016, 111236400, 112607872, 109770032, 112637240
 10629,  16,  16384,  20922,  22,  23,   1, 105717560, 112489368, 112364528, 112755024, 113396688
 10630,  16,  16384,  12157,  23,  23,   0, 113484880, 113384656, 110625328, 113599256, 113823536
 10631,  16,  16384,  48032,  23,  20,   2, 113423080, 111995896, 113354928, 106336752, 115743520
 10632,  16,  16384,   4752,  20,  20,   0, 115637640, 115378192, 109728536, 115650328, 112811944
 10633,  16,  16384,  23789,  20,  20,   0, 113171144, 115232280, 115488232, 115659704, 115871776
 10634,  16,  16384,  11131,  20,  22,   2, 115700848, 115416464, 115173360, 115434080, 112664104
 10635,  16,  16384,  39231,  22,  22,   0, 111335464, 112384696, 110086760, 112094632, 110973224
 10636,  16,  16384,  43233,  22,  22,   0, 106831128, 112573248, 112201016, 112329448, 112658448
 10637,  16,  16384,  24918,  22,  22,   0, 112591992, 112049088, 111443280, 111082408, 111279320
 10638,  16,  16384,   5192,  22,  19,   2, 111624440, 112644928, 112533928, 106801040, 113654952
 10639,  16,  16384,  13609,  19,  19,   0, 113387376, 113253384, 110805184, 113279664, 112527192
 10640,  16,  16384,  12215,  19,  21,   2, 113160656, 112209792, 112674104, 112425968, 116107920
 10641,  16,  16384,  31101,  21,   0,   3, 116028304, 114837344, 115980032, 110282824, 113946432
 10642,  16,  16384,  42788,   0,   1,   1, 110193056, 107584712, 113489008, 113525480, 114087496
 10643,  16,  16384,   5808,   1,   1,   0, 114151040, 114278560, 114098928, 107797568, 113866176
 10644,  16,  16384,  13079,   1,   0,   1, 112966816, 113833608, 113950992, 111595872, 113580544
 10645,  16,  16384,   5849,   0,   1,   1, 113924872, 113545240, 113576064, 113643736, 113963976
 10646,  16,  16384,  46637,   1,   3,   2, 114179776, 107692176, 113912112, 112517544, 109043376
 10647,  16,  16384,  29712,   3,   7,   3, 111389024, 111439248, 111289848, 111460624, 111488456
 10648,  16,  16384,    903,   7,   8,   2, 105441072, 111263808, 110391656, 111181680, 113887992
 10649,  16,  16384,  14622,   8,   9,   1, 107812616, 112490080, 112552592, 113772032, 113420112
 10650,  16,  16384,  13899,   9,   5,   3, 113360344, 114199608, 114035120, 114232720, 113758232
 10651,  16,  16384,  17624,   5,   5,   0, 114117680, 113995992, 112812456, 113932912, 112949624
 10652,  16,  16384,  49782,   5,  21,   3, 114247680, 113833864, 113141680, 110751032, 116087416
 10653,  16,  16384,  31294,  21,  11,   3, 115997136, 115796256, 115974128, 115797568, 110443040
 10654,  16,  16384,  28893,  11,  11,   0, 111870296, 111578112, 111525608, 111559264, 111645512
 10655,  16,  16384,  40257,  11,   9,   2, 111557904, 111339200, 111385144, 111515952, 114170936
 10656,  16,  16384,   5737,   9,   8,   1, 113102272, 114089824, 107625176, 114039304, 113886688
 10657,  16,  16384,  41610,   8,  18,   3, 113747800, 113809272, 113831992, 112923240, 111395952
 10658,  16,  16384,   2143,  18,  18,   0, 111559128, 112557624, 112213272, 112350864, 106770376
 10659,  16,  16384,  44700,  18,  18,   0, 112358864, 112433208, 112319064, 112361680, 111203992
 10660,  16,  16384,   2558,  18,  15,   3, 112536848, 112366448, 111176840, 111376488, 110599536
 10661,  16,  16384,   1838,  15,  15,   0, 111590696, 111545736, 104322928, 111142168, 111562904
 10662,  16,  16384,  12110,  15,  15,   0, 111380944, 111670200, 111391384, 111580928, 110797928
 10663,  16,  16384,   2466,  15,  20,   3, 111688640, 110466320, 111559096, 110327216, 115355584
 10664,  16,  16384,  44370,  20,  19,   2, 115528904, 115460192, 114347008, 115295096, 113482136
 10665,  16,  16384,   1186,  19,  23,   2, 112750840, 112697992, 113080872, 111970216, 113603704
 10666,  16,  16384,   3680,  23,  22,   1, 113475200, 112561704, 112634672, 111946720, 110154840
 10667,  16,  16384,  19541,  22,  22,   0, 112596392, 112362288, 111027568, 112355848, 112690984
 10668,  16,  16384,  49360,  22,  23,   1, 112711416, 112433184, 112318608, 112256040, 111760872
 10669,  16,  16384,  20116,  23,  22,   1, 113098272, 107674248, 113414400, 113212208, 112464880
 10670,  16,  16384,  49912,  22,  23,   1, 111495720, 112581680, 112594960, 112609960, 113410920
 10671,  16,  16384,  28509,  23,  11,   3, 112299376, 113381680, 113106176, 107573232, 111645336
 10672,  16,  16384,  37990,  11,  10,   1, 110931352, 111493104, 111579256, 106518200, 110903808
 10673,  16,  16384,  20451,  10,   0,   3, 110954920, 109737344, 110170032, 108881464, 113637048
 10674,  16,  16384,  19154,   0,   1,   1, 112564712, 113447880, 113438960, 107624072, 113998704
 10675,  16,  16384,  25904,   1,   2,   2, 113907552, 107588424, 113889800, 113723168, 104680664
 10676,  16,  16384,  31145,   2,   0,   2, 110800936, 110743368, 109624512, 110067696, 107510264
 10677,  16,  16384,  40978,   0,  12,   3, 113600296, 111165016, 113547280, 113577472, 107807888
 10678,  16,  16384,  22291,  12,   3,   3, 114223832, 113796944, 113822464, 113959888, 111791272
 10679,  16,  16384,  38859,   3,   5,   2, 111496616, 110325336, 111248088, 111090936, 114520808
 10680,  16,  16384,  32249,   5,   5,   0, 114085480, 113995480, 114079392, 106605896, 114038624
 10681,  16,  16384,  30460,   5,   4,   1, 113023560, 113868944, 113047360, 114100640, 112486832
 10682,  16,  16384,  42384,   4,   3,   2, 113939160, 107696536, 112745128, 113909744, 102057976
 10683,  16,  16384,  18255,   3,  12,   3, 111456888, 111212448, 111521120, 110340472, 113743656
 10684,  16,  16384,  15133,  12,   8,   3, 113794648, 111112840, 113715504, 111411248, 108110904
 10685,  16,  16384,  14980,   8,   9,   1, 113575816, 113358720, 113463032, 113561312, 113036552
 10686,  16,  16384,  47143,   9,   8,   1, 108314768, 114207160, 113099032, 114040096, 112842216
 10687,  16,  16384,  12247,   8,   9,   1, 112739192, 111482400, 109672784, 113525504, 114137688
 10688,  16,  16384,  14030,   9,   2,   3, 112834800, 113138216, 108024488, 113821824, 111012912
 10689,  16,  16384,  32576,   2,  19,   3, 103502080, 109521376, 109724600, 110904248, 113620768
 10690,  16,  16384,  28125,  19,  18,   1, 112083872, 113332712, 111798576, 113177336, 112475232
 10691,  16,  16384,  34149,  18,   0,   3, 112539576, 112424048, 105405240, 112255424, 112640960
 10692,  16,  16384,  42171,   0,   4,   2, 113783520, 113736656, 113545000, 113831560, 113839000
 10693,  16,  16384,   2705,   4,   2,   2, 113992456, 113590272, 112561960, 112255392, 109903448
 10694,  16,  16384,  21603,   2,   0,   2, 110602688, 109755552, 110925984, 110861760, 113935320
 10695,  16,  16384,  40523,   0,  11,   3, 107733704, 113677288, 113482096, 113508744, 110669256
 10696,  16,  16384,  23371,  11,  11,   0, 111590568, 110634464, 111437216, 110505504, 111677816
 10697,  16,  16384,  28655,  11,  10,   1, 111540752, 105349816, 111358904, 111229552, 111066720
 10698,  16,  16384,  48495,  10,   6,   2, 110802040, 108189864, 105178376, 110828096, 110298056
 10699,  16,  16384,   4769,   6,   7,   1, 110059184, 108960792, 108922616, 103973880, 111509368
 10700,  16,  16384,  33783,   7,   8,   2, 110127352, 111378128, 110099792, 110283800, 113725952
 10701,  16,  16384,  42587,   8,   9,   1, 107878968, 113619520, 113737928, 113508016, 107248888
 10702,  16,  16384,  11273,   9,   8,   1, 114360544, 114009472, 113991248, 113086832, 113719736
 10703,  16,  16384,  29410,   8,   9,   1, 112440088, 113130544, 113627704, 107645648, 113054072
 10704,  16,  16384,  36158,   9,   7,   2, 114185856, 113183720, 107784856, 114015304, 111854848
 10705,  16,  16384,  31339,   7,  23,   3, 110427760, 111630000, 111126328, 109973504, 113427912
 10706,  16,  16384,  10987,  23,  23,   0, 113489408, 112003480, 113445376, 113367240, 113496000
 10707,  16,  16384,  28214,  23,  19,   2, 104805096, 112881352, 113276808, 112880200, 113510872
 10708,  16,  16384,  17020,  19,  16,   3, 112092736, 113264848, 113126312, 112000688, 114481512
 10709,  16,  16384,   9457,  16,   4,   3, 115845496, 114203304, 115276872, 115342080, 114244664
 10710,  16,  16384,  24852,   4,   2,   2, 113887584, 112510464, 112599200, 113451968, 111066312
 10711,  16,  16384,  28024,   2,   1,   2, 110773736, 110817424, 110631760, 110738328, 112796512
 10712,  16,  16384,   1903,   1,   1,   0, 114146816, 114073360, 114057816, 114094736, 114049472
 10713,  16,  16384,  28771,   1,   1,   0, 108037440, 113874096, 114113040, 112701824, 113025048
 10714,  16,  16384,   5349,   1,   0,   1, 114157528, 113832608, 112745008, 113838824, 113670248
 10715,  16,  16384,  10326,   0,   5,   2, 111235104, 113728400, 113653816, 113364272, 113744840
 10716,  16,  16384,  17693,   5,  13,   3, 112012480, 114039384, 112920920, 113938840, 114430688
 10717,  16,  16384,  27050,  13,  12,   1, 113018624, 113065624, 113681168, 114082760, 114056888
 10718,  16,  16384,  35973,  12,  14,   2, 113855304, 106623520, 113434456, 113737944, 111197088
 10719,  16,  16384,   3302,  14,  13,   2, 111082872, 109600896, 110845272, 104946048, 114176232
 10720,  16,  16384,  43850,  13,  17,   2, 114138144, 114270232, 114238160, 114299824, 114552440
 10721,  16,  16384,  26924,  17,   4,   3, 114945288, 110123816, 115713928, 115767824, 107794112
 10722,  16,  16384,   6384,   4,  21,   3, 112685256, 113968584, 113644224, 113176248, 116135736
 10723,  16,  16384,   3537,  21,   3,   3, 115996768, 114598560, 114293584, 115824216, 111602160
 10724,  16,  16384,  27741,   3,   3,   0, 110905832, 110215168, 110713376, 111195848, 111642784
 10725,  16,  16384,  31865,   3,  14,   3, 105370592, 110026216, 111444224, 109916992, 111159920
 10726,  16,  16384,   9531,  14,  17,   2, 109949968, 105312112, 110923568, 111020328, 116017128
 10727,  16,  16384,  31813,  17,  14,   2, 110148384, 114576368, 115890816, 115901064, 110989616
 10728,  16,  16384,  41309,  14,   7,   3, 109903232, 111082208, 110189840, 110789992, 109864256
 10729,  16,  16384,  18231,   7,  11,   2, 111641976, 111438376, 111404088, 111152736, 111660640
 10730,  16,  16384,  31112,  11,  10,   1, 110735008, 110323512, 110549288, 111307608, 111088232
 10731,  16,  16384,  28694,  10,  10,   0, 110965888, 110031632, 110857016, 110849224, 110848200
 10732,  16,  16384,  33230,  10,  10,   0, 111230216, 106736736, 107888520, 110835440, 109823112
 10733,  16,  16384,  48710,  10,  11,   1, 111215160, 110828536, 110898664, 110840056, 111749712
 10734,  16,  16384,  14630,  11,   8,   2, 111459376, 111847664, 110450208, 111351416, 113792032
 10735,  16,  16384,  41821,   8,  10,   2, 113751960, 113618848, 113534392, 112484224, 109697768
 10736,  16,  16384,  22144,  10,   9,   2, 111185640, 110868656, 111137944, 111094864, 113173560
 10737,  16,  16384,  14405,   9,   8,   1, 114275624, 113919216, 113742512, 111907376, 113864408
 10738,  16,  16384,   7557,   8,  12,   3, 113845384, 111670120, 113332768, 113719360, 113638360
 10739,  16,  16384,  25979,  12,   3,   3, 113535768, 112356144, 113801416, 113709648, 111131856
 10740,  16,  16384,  17670,   3,   2,   1, 111578840, 110483976, 109362376, 111416840, 111175240
 10741,  16,  16384,  39156,   2,   1,   2, 109717904, 110582736, 109752000, 110570376, 114004872
 10742,  16,  16384,   5929,   1,   4,   2, 114026816, 114142360, 111859528, 114061912, 112940744
 10743,  16,  16384,   4983,   4,   5,   1, 113398160, 112762864, 113490560, 113656360, 113979808
 10744,  16,  16384,  20811,   5,   2,   2, 114037776, 114067312, 114071880, 113780568, 110845640
 10745,  16,  16384,   4660,   2,   1,   2, 110904688, 109539312, 110752576, 109361480, 113020600
 10746,  16,  16384,  42359,   1,   1,   0, 114141208, 114003544, 113775176, 113818368, 114050376
 10747,  16,  16384,   9255,   1,   2,   2, 114430976, 107959304, 110732680, 113959472, 109650976
 10748,  16,  16384,   2415,   2,   3,   1, 110677544, 109670960, 110539672, 110575016, 111575456
 10749,  16,  16384,  13857,   3,   4,   2, 111456528, 111447912, 110414344, 110501000, 112776400
 10750,  16,  16384,  31703,   4,   0,   2, 113797544, 113768648, 112442616, 113604584, 113986088
 10751,  16,  16384,  24336,   0,   3,   2, 113704072, 112381360, 112543496, 113887008, 110351704
 10752,  16,  16384,  25598,   3,   2,   1, 110218648, 111580952, 111463816, 111678512, 110170232
 10753,  16,  16384,   8743,   2,   3,   1, 110970024, 111082776, 110919344, 109535552, 111332536
 10754,  16,  16384,  46057,   3,   9,   3, 110407184, 110286232, 111374464, 110008400, 108391176
 10755,  16,  16384,  14390,   9,   0,   3, 114121272, 113758424, 112898616, 114055352, 111163368
 10756,  16,  16384,   4041,   0,   1,   1, 113824672, 113567328, 111503888, 109233088, 112697792
 10757,  16,  16384,  46963,   1,   1,   0, 114012152, 114149912, 111703552, 113882904, 112718656
 10758,  16,  16384,  44412,   1,   2,   2, 114298720, 113790544, 114250456, 114234712, 111146104
 10759,  16,  16384,  44338,   2,  16,   3, 108525648, 110521880, 109549632, 110615360, 115528608
 10760,  16,  16384,   2407,  16,  16,   0, 115467168, 115334136, 112417888, 115399792, 115735136
 10761,  16,  16384,  12343,  16,  16,   0, 114269232, 115664584, 114144056, 115566544, 115622032
 10762,  16,  16384,  28522,  16,  16,   0, 115555896, 115294568, 109816040, 115215088, 114053304
 10763,  16,  16384,  17364,  16,  16,   0, 114311432, 115225072, 114482448, 115495920, 114234296
 10764,  16,  16384,   2678,  16,   5,   3, 115729640, 115418072, 115165880, 115179048, 114009328
 10765,  16,  16384,  27924,   5,   4,   1, 108008136, 113621696, 114033648, 114103784, 113796136
 10766,  16,  16384,  46914,   4,   4,   0, 114157536, 112683424, 113644504, 113594928, 113913640
 10767,  16,  16384,  13199,   4,   6,   3, 113596472, 113815128, 111922848, 112155184, 109206104
 10768,  16,  16384,  36696,   6,  13,   3, 108954792, 109140432, 110100312, 104287832, 114488096
 10769,  16,  16384,  18565,  13,  16,   2, 114129648, 113951664, 113114704, 113131872, 113916960
 10770,  16,  16384,  26537,  16,  16,   0, 114828392, 113991672, 115468288, 115552272, 114973504
 10771,  16,  16384,   2260,  16,  12,   2, 115444392, 115316248, 115312768, 115221016, 113751264
 10772,  16,  16384,  36896,  12,  12,   0, 113895120, 113560416, 111434424, 112564664, 113741456
 10773,  16,  16384,  37144,  12,  15,   2, 113824784, 111924616, 109281408, 113675304, 105563544
 10774,  16,  16384,  38304,  15,  16,   2, 112002400, 111392744, 111593648, 111404704, 114316976
 10775,  16,  16384,   8365,  16,  11,   3, 115487448, 115426648, 115438448, 114031008, 111661824
 10776,  16,  16384,  35196,  11,   9,   2, 110612360, 111707608, 111630896, 111153024, 114073768
 10777,  16,  16384,  35087,   9,   8,   1, 113972096, 114259032, 114289192, 112815744, 113827880
 10778,  16,  16384,  41854,   8,  11,   2, 113549456, 113498552, 113411640, 107540488, 111760344
 10779,  16,  16384,  47284,  11,  10,   1, 105770472, 108780952, 111359480, 111609200, 111060576
 10780,  16,  16384,  18792,  10,  11,   1, 110891408, 110765360, 109896944, 110876288, 111303128
 10781,  16,  16384,  28503,  11,  11,   0, 111869096, 111540120, 105285040, 109144664, 111081424
 10782,  16,  16384,  39884,  11,  10,   1, 111075752, 111491624, 111543576, 111785456, 110807272
 10783,  16,  16384,  26426,  10,  15,   3, 110871920, 109943344, 111013768, 104735248, 110419968
 10784,  16,  16384,  27493,  15,  14,   1, 105901688, 110605272, 111568448, 111426904, 110773256
 10785,  16,  16384,  14978,  14,  15,   1, 109913640, 110969752, 110277416, 110111624, 111621840
 10786,  16,  16384,   1182,  15,   9,   3, 110585000, 111734440, 109830520, 105157464, 113238192
 10787,  16,  16384,  38465,   9,   8,   1, 114327608, 114057280, 113095736, 108032088, 113738568
 10788,  16,  16384,   6434,   8,  11,   2, 113757312, 113547616, 111273696, 113106664, 109541720
 10789,  16,  16384,  36880,  11,  10,   1, 111609672, 111961648, 111251232, 111604448, 110812896
 10790,  16,  16384,  22724,  10,  10,   0, 109839424, 110991512, 110991336, 110891392, 111022392
 10791,  16,  16384,  46465,  10,  10,   0, 111239656, 109995912, 105145528, 110900368, 110748104
 10792,  16,  16384,  29729,  10,  10,   0, 109773928, 110830456, 109843264, 110792832, 111143696
 10793,  16,  16384,  35087,  10,  10,   0, 110418696, 110096928, 110633384, 110183816, 105196216
 10794,  16,  16384,   1199,  10,  11,   1, 111096536, 110987144, 110818760, 109709408, 111464744
 10795,  16,  16384,   1514,  11,  14,   3, 110651400, 111249496, 111655704, 110394600, 111279584
 10796,  16,  16384,  17289,  14,  13,   2, 109679376, 104834952, 110794112, 110723936, 114339800
 10797,  16,  16384,  27878,  13,   3,   3, 114209240, 113182960, 113578552, 113992112, 111469272
 10798,  16,  16384,    174,   3,   2,   1, 111068560, 110901144, 111245752, 111313944, 110808112
 10799,  16,  16384,  44171,   2,   3,   1, 110888984, 110926608, 110901584, 108621720, 106503736
 10800,  16,  16384,  35471,   3,   3,   0, 111741592, 111176704, 111418536, 110462120, 111101512
 10801,  16,  16384,  26479,   3,   5,   2, 111683000, 111396576, 111343288, 111318872, 114246328
 10802,  16,  16384,  43315,   5,  13,   3, 112681008, 111526824, 113805672, 113963448, 113986176
 10803,  16,  16384,  29111,  13,   5,   3, 114172728, 113106056, 111860768, 114028936, 114105544
 10804,  16,  16384,  19041,   5,   2,   2, 114081648, 113961960, 112590432, 113032888, 110206408
 10805,  16,  16384,  22025,   2,   2,   0, 110119176, 111033752, 110599632, 110810880, 110818312
 10806,  16,  16384,  26862,   2,  21,   3, 111087400, 108425392, 104750848, 110575424, 115931216
 10807,  16,  16384,  35343,  21,  21,   0, 114839944, 116005416, 115768952, 115895288, 115966704
 10808,  16,  16384,  31098,  21,  17,   3, 114886784, 110128272, 115739800, 115703168, 115643088
 10809,  16,  16384,  11017,  17,  17,   0, 116037240, 114403456, 115819144, 115786912, 115833816
 10810,  16,  16384,  14288,  17,  17,   0, 114924376, 115905032, 114552848, 115715416, 116144352
 10811,  16,  16384,  19029,  17,  17,   0, 115919488, 107206640, 115839536, 115674640, 114652976
 10812,  16,  16384,    555,  17,  16,   1, 115946000, 115645312, 115822072, 114823864, 115277544
 10813,  16,  16384,  21137,  16,  13,   2, 115641144, 114371312, 112687856, 115236176, 113401096
 10814,  16,  16384,  24230,  13,  15,   2, 114290624, 108092040, 114394608, 112812832, 111991704
 10815,  16,  16384,  19857,  15,  14,   1, 111403128, 104460120, 110622816, 110433144, 110966304
 10816,  16,  16384,  11971,  14,  15,   1, 111047792, 102617936, 110839504, 110720296, 111767592
 10817,  16,  16384,  34847,  15,  21,   3, 111847584, 111446040, 111459352, 111570576, 116075552
 10818,  16,  16384,  43721,  21,  14,   3, 115542248, 113570688, 115834056, 115899032, 109846056
 10819,  16,  16384,  14856,  14,  15,   1, 111032560, 110839320, 110726200, 110780328, 108370032
 10820,  16,  16384,   9896,  15,  17,   2, 107870856, 110256576, 110307056, 111270016, 115906120
 10821,  16,  16384,  36364,  17,  17,   0, 115719736, 114751864, 115788520, 115833704, 113166848
 10822,  16,  16384,   1717,  17,  21,   3, 111753776, 115576856, 115962648, 115896488, 113623024
 10823,  16,  16384,   9022,  21,  20,   1, 116218568, 115660400, 115613648, 111896776, 114195584
 10824,  16,  16384,  42666,  20,  21,   1, 115618320, 115418744, 115262704, 109313848, 116198928
 10825,  16,  16384,  15322,  21,  21,   0, 116321560, 113372896, 116115032, 115770088, 115759824
 10826,  16,  16384,  41392,  21,  20,   1, 114681640, 109703536, 115809488, 115625280, 112785904
 10827,  16,  16384,  48000,  20,  19,   2, 114370592, 115624208, 115378296, 115185704, 113302872
 10828,  16,  16384,  17789,  19,   6,   3, 113712176, 113153240, 113335680, 111687480, 109469176
 10829,  16,  16384,  12798,   6,   6,   0, 110242416, 109958320, 109995088, 108850896, 107681616
 10830,  16,  16384,  24463,   6,   6,   0, 110105848, 110370072, 104421888, 110132392, 110181872
 10831,  16,  16384,  27862,   6,   8,   2, 110275592, 109962264, 108571256, 109929696, 113878888
 10832,  16,  16384,   6232,   8,   3,   3, 112808128, 113588128, 113700760, 113399424, 111704904
 10833,  16,  16384,  34078,   3,  20,   3, 108192616, 108220784, 108089256, 111259008, 110434680
 10834,  16,  16384,  11519,  20,  18,   2, 112494360, 115409728, 115287632, 115149464, 112566136
 10835,  16,  16384,  25044,  18,  17,   3, 112585800, 111482688, 112441920, 112743920, 115946704
 10836,  16,  16384,  11644,  17,  17,   0, 115940576, 115591728, 115831360, 105626616, 115902600
 10837,  16,  16384,  12657,  17,  16,   1, 115774112, 115698216, 114375240, 115671688, 114026992
 10838,  16,  16384,  13292,  16,  16,   0, 115510880, 115839288, 115679000, 113347688, 115639792
 10839,  16,  16384,   9067,  16,  16,   0, 115725872, 115587432, 114041024, 115516576, 115835608
 10840,  16,  16384,  47365,  16,  17,   1, 114402632, 115392488, 114750328, 110117640, 115890112
 10841,  16,  16384,  16518,  17,  17,   0, 114819400, 114941136, 109981328, 115943120, 115972736
 10842,  16,  16384,  44650,  17,  14,   2, 114703208, 115726808, 115647416, 115772032, 111040584
 10843,  16,  16384,  10615,  14,  11,   3, 105039024, 110646448, 110842960, 110863688, 111511728
 10844,  16,  16384,  33649,  11,  13,   3, 111566672, 110293520, 109003184, 107775632, 113256176
 10845,  16,  16384,  28256,  13,  15,   2, 114358008, 114127552, 113974552, 114058312, 111604072
 10846,  16,  16384,  29395,  15,  14,   1, 111783632, 111439304, 110543880, 111446816, 109991424
 10847,  16,  16384,   5580,  14,  18,   3, 110951192, 110748936, 109884360, 104905776, 112636024
 10848,  16,  16384,  18838,  18,  19,   1, 112689216, 112446440, 112390344, 112479352, 113528456
 10849,  16,  16384,  46801,  19,  18,   1, 113322968, 113230568, 113371896, 113428272, 105420544
 10850,  16,  16384,  37683,  18,  18,   0, 112376752, 112256040, 112322264, 112365856, 112332280
 10851,  16,  16384,  43613,  18,   0,   3, 111368696, 112361288, 112377320, 111245504, 113270976
 10852,  16,  16384,  16955,   0,   5,   2, 113793760, 107633592, 113499112, 113864976, 114183560
 10853,  16,  16384,  15474,   5,   4,   1, 112049768, 113596976, 111646808, 113955632, 113707136
 10854,  16,  16384,  26563,   4,  20,   3, 114122592, 112540048, 113480376, 113689184, 115586928
 10855,  16,  16384,  11383,  20,  21,   1, 115593784, 113939264, 107129064, 114013192, 116153984
 10856,  16,  16384,  35680,  21,  20,   1, 116076000, 114439296, 115836864, 115939144, 115821192
 10857,  16,  16384,  14856,  20,  20,   0, 115447008, 115359696, 115302752, 113935952, 109767824
 10858,  16,  16384,  21149,  20,   3,   3, 113282496, 115533672, 115151112, 115233544, 111460616
 10859,  16,  16384,   7061,   3,   3,   0, 111466616, 110209488, 110277816, 105317152, 111371480
 10860,  16,  16384,  37278,   3,  18,   3, 111644288, 111493256, 111267224, 111406552, 112099144
 10861,  16,  16384,  26077,  18,  18,   0, 111358648, 111061592, 108095072, 112366120, 112510752
 10862,  16,  16384,  17650,  18,  18,   0, 112652632, 112305232, 111266880, 112356592, 111630552
 10863,  16,  16384,  33310,  18,  19,   1, 111595056, 112429272, 111552784, 112474328, 107626144
 10864,  16,  16384,  10746,  19,  18,   1, 113316304, 111880704, 113202848, 113192528, 111057648
 10865,  16,  16384,  47657,  18,  19,   1, 112522752, 111238624, 111257864, 112386776, 113592056
 10866,  16,  16384,  26999,  19,  18,   1, 113371144, 113301488, 106801368, 113187376, 112674304
 10867,  16,  16384,  30563,  18,  20,   2, 111188832, 112628320, 110997280, 111194944, 115610008
 10868,  16,  16384,  15755,  20,  12,   3, 115571984, 115306024, 115473136, 115275008, 113485104
 10869,  16,  16384,  11908,  12,  13,   1, 106947968, 112287144, 111333208, 113321528, 113947256
 10870,  16,  16384,  32582,  13,  15,   2, 114082048, 113077200, 114523936, 114236112, 109342728
 10871,  16,  16384,  41120,  15,  15,   0, 111787960, 111341776, 111391496, 110319624, 111327136
 10872,  16,  16384,  10621,  15,  15,   0, 111606208, 111226000, 106972600, 110209840, 110519704
 10873,  16,  16384,   2703,  15,  12,   2, 111713120, 110417840, 110485840, 111848584, 112933520
 10874,  16,  16384,  20890,  12,   9,   3, 112581448, 112825464, 112550048, 113476536, 108152112
 10875,  16,  16384,  40004,   9,  10,   2, 113156192, 113903304, 114167096, 114126344, 110815432
 10876,  16,  16384,  34803,  10,   7,   2, 110822248, 110105360, 106127320, 107289968, 111366800
 10877,  16,  16384,  23744,   7,   6,   1, 111379352, 108794160, 109959608, 111380024, 109639640
 10878,  16,  16384,  39740,   6,   6,   0, 110315296, 110061432, 110037592, 104299128, 109236048
 10879,  16,  16384,  18572,   6,   6,   0, 110367464, 110123912, 109887816, 110427080, 109797240
 10880,  16,  16384,  45317,   6,   6,   0, 109327000, 108757120, 110325168, 110062832, 110324032
 10881,  16,  16384,   4886,   6,   7,   1, 104650216, 107442064, 109000152, 109825608, 111450968
 10882,  16,  16384,  34813,   7,  13,   3, 110342928, 111461824, 111491208, 111583536, 114206488
 10883,  16,  16384,  37315,  13,  15,   2, 114408880, 112921280, 113040512, 113983408, 108597576
 10884,  16,  16384,  24103,  15,  14,   1, 107654288, 111569440, 110252728, 111373936, 109877144
 10885,  16,  16384,  12067,  14,  14,   0, 111045456, 110960344, 110771656, 110728000, 110163288
 10886,  16,  16384,  20168,  14,  15,   1, 109832208, 110943576, 110629320, 110961816, 110934128
 10887,  16,  16384,   2253,  15,  14,   1, 111605696, 111409824, 109719304, 110948760, 110748992
 10888,  16,  16384,   6571,  14,  20,   3, 111066560, 110059224, 110746800, 109954560, 115711304
 10889,  16,  16384,   4053,  20,  21,   1, 115637240, 115408576, 115337776, 114205560, 116102720
 10890,  16,  16384,  17225,  21,   3,   3, 115732544, 114719304, 116173536, 115726624, 105382232
 10891,  16,  16384,  45424,   3,   2,   1, 111540392, 110535816, 111275856, 111412744, 110712688
 10892,  16,  16384,  20317,   2,   4,   2, 109682984, 110704072, 110800944, 110624352, 114071768
 10893,  16,  16384,  39235,   4,   7,   3, 113843448, 112388584, 113637728, 113538080, 110224328
 10894,  16,  16384,  28383,   7,  11,   2, 111570968, 111389024, 111329456, 110592944, 110509600
 10895,  16,  16384,  17949,  11,   1,   3, 106966616, 110404088, 111251832, 111581320, 114140120
 10896,  16,  16384,  24521,   1,   2,   2, 113995832, 107926680, 112903824, 113943008, 110870248
 10897,  16,  16384,  42941,   2,  21,   3, 110917256, 111223488, 109777856, 110770624, 116131824
 10898,  16,  16384,  34109,  21,  21,   0, 115976304, 115624600, 115201216, 113968416, 116131064
 10899,  16,  16384,  40403,  21,  21,   0, 116140280, 115787840, 115532568, 116118544, 114827464
 10900,  16,  16384,  43974,  21,  21,   0, 114892272, 110351744, 115927064, 115656040, 114562464
 10901,  16,  16384,  45473,  21,  15,   3, 116225912, 115650504, 115902584, 115874400, 111569584
 10902,  16,  16384,  26549,  15,  15,   0, 111600488, 111594256, 111299368, 110770960, 106454168
 10903,  16,  16384,  20772,  15,  14,   1, 109744176, 111367264, 110406960, 111096584, 111111208
 10904,  16,  16384,  42219,  14,  11,   3, 110974128, 110111864, 111039576, 110190560, 111438008
 10905,  16,  16384,  15827,  11,  10,   1, 111693896, 110396048, 105596424, 111438344, 111168888
 10906,  16,  16384,  37095,  10,  10,   0, 110961272, 111049584, 110897544, 109862520, 103853536
 10907,  16,  16384,  13149,  10,   8,   2, 111093576, 110767392, 110863944, 110632400, 113881152
 10908,  16,  16384,  21096,   8,   8,   0, 113741912, 113461200, 113726240, 113486440, 112800336
 10909,  16,  16384,  22176,   8,   8,   0, 112747960, 113658744, 113534600, 113338416, 112059560
 10910,  16,  16384,  43803,   8,   8,   0, 112813336, 113730096, 113513456, 113561320, 114076936
 10911,  16,  16384,   9134,   8,  10,   2, 114448192, 112946248, 113469400, 112754968, 111183776
 10912,  16,  16384,  14085,  10,   1,   3, 111173360, 110815888, 108820536, 111008112, 114030032
 10913,  16,  16384,  28948,   1,   1,   0, 113957464, 113911144, 114180024, 112883896, 113929400
 10914,  16,  16384,  43411,   1,   8,   3, 114280768, 107143600, 111071400, 113718352, 113814880
 10915,  16,  16384,  36662,   8,   8,   0, 113713040, 113527400, 113312176, 113750848, 112697952
 10916,  16,  16384,  38020,   8,   9,   1, 113710960, 112428112, 113431936, 113593296, 114115424
 10917,  16,  16384,  39223,   9,   9,   0, 114160480, 112993552, 114145216, 114157624, 114304928
 10918,  16,  16384,  25576,   9,   6,   2, 114433640, 113820304, 114355200, 114553312, 108923040
 10919,  16,  16384,  29660,   6,   7,   1, 104145168, 110194864, 110299912, 110165232, 111629584
 10920,  16,  16384,  43596,   7,   4,   3, 111666408, 111423448, 111588304, 111499744, 113901080
 10921,  16,  16384,  25505,   4,   6,   3, 113939520, 103839248, 114141072, 113865920, 110151048
 10922,  16,  16384,  29590,   6,  21,   3, 110377160, 107818320, 109804632, 108911720, 115857368
 10923,  16,  16384,   1368,  21,  14,   3, 114719936, 115837000, 110194512, 114455336, 111009000
 10924,  16,  16384,  26675,  14,  14,   0, 110735160, 110247208, 110768544, 111084416, 110906296
 10925,  16,  16384,  19412,  14,  16,   2, 105159096, 110560600, 110754448, 110747240, 112314856
 10926,  16,  16384,   2043,  16,  15,   2, 109343544, 115490896, 114208224, 115303104, 111522184
 10927,  16,  16384,   9653,  15,  17,   2, 111762592, 111518288, 111526248, 110412672, 114921024
 10928,  16,  16384,  32400,  17,  12,   2, 116010160, 115872312, 114540408, 114820856, 111034592
 10929,  16,  16384,  41889,  12,  13,   1, 113847992, 113540624, 113651320, 113426112, 114135600
 10930,  16,  16384,  13614,  13,  17,   2, 112945080, 114144456, 114125624, 114023544, 114734832
 10931,  16,  16384,  21080,  17,  17,   0, 116193048, 115771624, 113620168, 115664976, 112844320
 10932,  16,  16384,  27507,  17,  17,   0, 113436472, 115980880, 114415384, 115783528, 116122048
 10933,  16,  16384,  41258,  17,  16,   1, 116185856, 114594960, 116074544, 115829496, 115654416
 10934,  16,  16384,  41367,  16,   4,   3, 115805936, 115678768, 115595784, 115326592, 113776112
 10935,  16,  16384,    143,   4,   5,   1, 107778072, 113567296, 112520616, 112816672, 114029264
 10936,  16,  16384,  18799,   5,   4,   1, 112170960, 114108672, 114258488, 113050920, 113861104
 10937,  16,  16384,  22831,   4,   5,   1, 113761144, 113778752, 113720320, 107646768, 108198744
 10938,  16,  16384,  13599,   5,   5,   0, 114081608, 114064800, 111825552, 114065280, 114096800
 10939,  16,  16384,  46898,   5,   5,   0, 112784952, 112988488, 114012800, 113934840, 114273440
 10940,  16,  16384,  45225,   5,   5,   0, 113993328, 113688728, 107663976, 114206040, 114170016
 10941,  16,  16384,   5108,   5,   4,   1, 114234864, 113825296, 112853664, 112718328, 113980144
 10942,  16,  16384,   5634,   4,   3,   2, 107844424, 113505392, 111946040, 113303640, 111431504
 10943,  16,  16384,  11599,   3,  10,   3, 111159088, 110991824, 111095568, 109897256, 104684984
 10944,  16,  16384,   6272,  10,  10,   0, 108161640, 109698056, 110665464, 110690264, 110817232
 10945,  16,  16384,   6044,  10,  11,   1, 110890072, 109632544, 110898072, 110918736, 111475560
 10946,  16,  16384,   5464,  11,  20,   3, 111348184, 110003976, 105224464, 110075224, 115550312
 10947,  16,  16384,  22593,  20,  20,   0, 112722368, 115184992, 114120488, 114003280, 115450176
 10948,  16,  16384,   7384,  20,   4,   3, 115271424, 115160648, 115189320, 115107488, 113825592
 10949,  16,  16384,  30081,   4,   5,   1, 112567680, 113776472, 112578344, 107365752, 108238648
 10950,  16,  16384,    146,   5,   4,   1, 114216808, 112184240, 114228288, 114334520, 113880376
 10951,  16,  16384,  19796,   4,   0,   2, 114204808, 113884152, 113737568, 112427896, 112623912
 10952,  16,  16384,  40118,   0,   1,   1, 114212472, 112705384, 112774992, 113822872, 114304368
 10953,  16,  16384,  35015,   1,   1,   0, 114230520, 114026536, 113932496, 113087992, 114138872
 10954,  16,  16384,  23990,   1,   1,   0, 107919344, 114092472, 114008024, 113791736, 112103448
 10955,  16,  16384,   3387,   1,   1,   0, 114649560, 113770928, 113995376, 113975736, 114452336
 10956,  16,  16384,  10303,   1,  11,   3, 113122320, 112866704, 114079288, 114216880, 111157456
 10957,  16,  16384,  19762,  11,   8,   2, 111393000, 110843600, 111052320, 108843040, 113969224
 10958,  16,  16384,   4914,   8,   9,   1, 113846784, 114021472, 112964336, 112827368, 114895032
 10959,  16,  16384,  27536,   9,  13,   3, 113775800, 113928256, 114353840, 114291888, 114400424
 10960,  16,  16384,  37108,  13,  15,   2, 114257824, 113970952, 114310312, 110383784, 109973504
 10961,  16,  16384,  25509,  15,  15,   0, 111564976, 111192056, 105210776, 110947776, 111172760
 10962,  16,  16384,  22864,  15,  13,   2, 110095360, 110835024, 109997408, 111123608, 110496632
 10963,  16,  16384,  20358,  13,  13,   0, 110996696, 114275032, 112910368, 113132936, 114226472
 10964,  16,  16384,  34445,  13,  12,   1, 114308968, 114282216, 114032560, 114212808, 113870392
 10965,  16,  16384,  13678,  12,  12,   0, 113679472, 112563760, 114136872, 112668328, 113733248
 10966,  16,  16384,   4406,  12,  14,   2, 113500664, 113871464, 113972040, 113237640, 109784744
 10967,  16,  16384,  30897,  14,   5,   3, 110491080, 109898464, 110368656, 110602728, 114350624
 10968,  16,  16384,  36087,   5,   5,   0, 114279208, 112651696, 113047536, 114185568, 114161544
 10969,  16,  16384,   7385,   5,  19,   3, 114252456, 113815952, 113092984, 113737192, 107214888
 10970,  16,  16384,  28044,  19,  18,   1, 112916368, 112568248, 111517736, 110948224, 112211760
 10971,  16,  16384,   1559,  18,  19,   1, 112239288, 109814232, 112094800, 106355768, 112728856
 10972,  16,  16384,   9395,  19,  19,   0, 111782320, 112431320, 108067880, 111424648, 112012856
 10973,  16,  16384,  25266,  19,  20,   2, 111284248, 112641264, 111337816, 112427504, 114761720
 10974,  16,  16384,  15927,  20,  23,   2, 115891008, 115826736, 115368384, 114510064, 112758352
 10975,  16,  16384,   4383,  23,   4,   3, 113236736, 111101208, 111409736, 112669392, 113884016
 10976,  16,  16384,   3024,   4,   4,   0, 108266200, 114146888, 111514648, 113598848, 114177912
 10977,  16,  16384,  17282,   4,   8,   3, 114414632, 113924552, 112723456, 113917776, 113028248
 10978,  16,  16384,  46110,   8,   8,   0, 113963528, 114022936, 113736744, 113816064, 113069720
 10979,  16,  16384,    942,   8,   9,   1, 112990904, 113811256, 113714952, 113673440, 114323168
 10980,  16,  16384,  16965,   9,   3,   3, 113910504, 113526320, 113269768, 114027432, 110772080
 10981,  16,  16384,  48199,   3,   5,   2, 110895928, 106833048, 108011280, 109405776, 114097536
 10982,  16,  16384,  15480,   5,   4,   1, 114314088, 114081872, 114095720, 112175560, 112964856
 10983,  16,  16384,  43969,   4,   4,   0, 114310448, 113757736, 107816808, 113835528, 114184832
 10984,  16,  16384,  30446,   4,   2,   2, 114122160, 113810544, 114118520, 112993192, 110844784
 10985,  16,  16384,   5160,   2,  23,   3, 109905432, 109569672, 110810080, 110568952, 112816048
 10986,  16,  16384,  22280,  23,  11,   3, 107002120, 112382416, 111788456, 110800544, 110730240
 10987,  16,  16384,  19625,  11,   6,   2, 110847088, 110815184, 110345608, 110311944, 110149088
 10988,  16,  16384,   4628,   6,  16,   3, 110497224, 110120304, 110175392, 110474712, 115835040
 10989,  16,  16384,  19117,  16,  16,   0, 115466752, 114002392, 115601416, 115430584, 114360280
 10990,  16,  16384,   5315,  16,  12,   2, 114497656, 115789872, 115487584, 114633712, 114012856
 10991,  16,  16384,   8109,  12,  13,   1, 114052104, 112696952, 113864920, 113984240, 108245624
 10992,  16,  16384,  17491,  13,  22,   3, 113187072, 112967168, 114346344, 113722560, 112750272
 10993,  16,  16384,  25860,  22,  22,   0, 113012320, 112489968, 112813192, 112410456, 111370464
 10994,  16,  16384,  34143,  22,  23,   1, 111355696, 112781320, 103651112, 112489480, 112201688
 10995,  16,  16384,  40462,  23,   2,   3, 112418696, 111674072, 108710600, 109428936, 110713104
 10996,  16,  16384,   5996,   2,   3,   1, 111070280, 109251648, 109679424, 109717776, 110063456
 10997,  16,  16384,   9805,   3,   5,   2, 104301096, 109934816, 110091928, 110235536, 114204304
 10998,  16,  16384,   1713,   5,   4,   1, 114287792, 113662592, 113562192, 114166120, 113083168
 10999,  16,  16384,  25391,   4,  15,   3, 114020672, 114331000, 112874568, 112677000, 109618768
 11000,  16,  16384,   6611,  15,  20,   3, 110628112, 109777624, 110034328, 110267736, 115968504
 11001,  16,  16384,  23118,  20,  22,   2, 115813328, 115561176, 110173208, 115859488, 110058552
 11002,  16,  16384,  25598,  22,  23,   1, 112188688, 112167792, 112227184, 112382208, 112265400
 11003,  16,  16384,   8378,  23,   5,   3, 112278144, 112158888, 112069160, 110582072, 114150480
 11004,  16,  16384,  30897,   5,   5,   0, 112833472, 112986120, 114396880, 114111072, 114225544
 11005,  16,  16384,  33077,   5,   8,   3, 114400312, 114182496, 112934944, 114015712, 114136712
 11006,  16,  16384,  17554,   8,   9,   1, 113120240, 114196296, 112740584, 108096872, 114513200
 11007,  16,  16384,   9181,   9,  10,   2, 113193128, 114147688, 113954416, 114122704, 110859904
 11008,  16,  16384,  22986,  10,  11,   1, 105091696, 110708360, 109655432, 110810584, 109868312
 11009,  16,  16384,  38584,  11,  10,   1, 110843880, 110755320, 110533024, 110657656, 111112736
 11010,  16,  16384,  18151,  10,  11,   1, 110938624, 110520176, 104705776, 110387672, 110733104
 11011,  16,  16384,  18754,  11,  10,   1, 109047336, 109684144, 110531576, 110636120, 110975008
 11012,  16,  16384,  26802,  10,   8,   2, 110681832, 110540696, 110346856, 110774960, 114230504
 11013,  16,  16384,  44740,   8,   6,   2, 113920920, 112953744, 113873960, 106584888, 110207520
 11014,  16,  16384,   3974,   6,  10,   2, 110498896, 109994480, 109954240, 109837856, 110687224
 11015,  16,  16384,  29037,  10,  10,   0, 109208568, 106169352, 110729640, 109433008, 110778304
 11016,  16,  16384,  41065,  10,  14,   3, 109345608, 109752784, 110716016, 110683088, 105139968
 11017,  16,  16384,  17071,  14,  15,   1, 110577200, 110476408, 110620136, 110749800, 110989192
 11018,  16,  16384,   9992,  15,  11,   3, 109694888, 110783200, 110617888, 110641288, 110704728
 11019,  16,  16384,   2392,  11,   6,   2, 109738896, 110937240, 110753168, 109505600, 109976152
 11020,  16,  16384,   3737,   6,   6,   0, 109514696, 109570496, 108988864, 108823696, 109777984
 11021,  16,  16384,  27432,   6,   7,   1, 105621448, 104949336, 109890848, 109275504, 110808440
 11022,  16,  16384,  17503,   7,   7,   0, 111085552, 109823688, 110965056, 105904400, 110719816
 11023,  16,  16384,  24431,   7,   7,   0, 109712328, 109330672, 110719696, 110428512, 110722048
 11024,  16,  16384,   8667,   7,   9,   2, 109524096, 110996008, 110902472, 109803112, 114359768
 11025,  16,  16384,  22961,   9,   8,   1, 114526016, 114143024, 114090184, 111803976, 113797416
 11026,  16,  16384,  17806,   8,   8,   0, 114034416, 112985600, 113993248, 113890056, 113628728
 11027,  16,  16384,  43332,   8,  22,   3, 113990152, 113999728, 113866704, 113775056, 112435928
 11028,  16,  16384,  29605,  22,  21,   2, 112221656, 110911096, 110843744, 112153240, 114708640
 11029,  16,  16384,   7359,  21,  22,   2, 116405352, 115736456, 116168816, 116165752, 106322136
 11030,  16,  16384,   5029,  22,  19,   2, 109654008, 112254304, 112118712, 111004784, 112567920
 11031,  16,  16384,   5964,  19,  19,   0, 112761680, 112591304, 110163784, 112680824, 112023360
 11032,  16,  16384,  20121,  19,   1,   3, 112440808, 112861520, 111243736, 112717488, 114691064
 11033,  16,  16384,  44667,   1,  11,   3, 114184888, 114223632, 111944576, 107829752, 111121880
 11034,  16,  16384,  12193,  11,  11,   0, 110957856, 109831920, 110849768, 106979880, 111152992
 11035,  16,  16384,  43891,  11,  13,   3, 110151568, 109585328, 111111648, 110846936, 113274032
 11036,  16,  16384,  45852,  13,  13,   0, 113308968, 114417056, 114245544, 114236616, 114405896
 11037,  16,  16384,  24176,  13,  13,   0, 114326712, 114134872, 112950712, 114108312, 113353472
 11038,  16,  16384,  44702,  13,  13,   0, 107359976, 114242448, 113199528, 114075400, 114276720
 11039,  16,  16384,   8705,  13,   4,   3, 113919480, 114204280, 114146056, 114081120, 114130528
 11040,  16,  16384,  44611,   4,   5,   1, 114109896, 114065584, 113833600, 114061360, 112784136
 11041,  16,  16384,  45322,   5,   4,   1, 114415928, 114099112, 113325992, 114319984, 112985760
 11042,  16,  16384,  44319,   4,   4,   0, 114091344, 113849488, 113788416, 113520912, 114309888
 11043,  16,  16384,  26455,   4,   4,   0, 114017752, 114120912, 112941128, 113347000, 114289136
 11044,  16,  16384,  44551,   4,  17,   3, 106394032, 112853552, 113744232, 113945408, 115834536
 11045,  16,  16384,  47352,  17,  17,   0, 116078768, 110190720, 115877168, 114720912, 115955424
 11046,  16,  16384,  37125,  17,  16,   1, 116288192, 116311440, 116239408, 115876760, 115990368
 11047,  16,  16384,  16147,  16,  20,   3, 116001872, 115788832, 115686520, 114434992, 114417632
 11048,  16,  16384,  10697,  20,  22,   2, 116161128, 115623160, 115566056, 113264608, 112725200
 11049,  16,  16384,  33283,  22,   2,   3, 112464648, 111370208, 111053664, 112362992, 109587584
 11050,  16,  16384,  49382,   2,  21,   3, 111006272, 110757192, 109216968, 110739848, 116174416
 11051,  16,  16384,  19536,  21,  22,   2, 115057912, 116159072, 114680984, 115885640, 112571464
 11052,  16,  16384,  44370,  22,  22,   0, 106011976, 111919912, 112265240, 112384552, 112571256
 11053,  16,  16384,   3928,  22,  18,   2, 112658488, 112404288, 112387520, 112097152, 110745976
 11054,  16,  16384,  14429,  18,  19,   1, 111431944, 112495496, 112484424, 105223912, 113136232
 11055,  16,  16384,   7498,  19,   3,   3, 111388088, 112826880, 111518632, 112756104, 110131432
 11056,  16,  16384,  36350,   3,  19,   3, 110915744, 110098512, 110998280, 111153632, 113086560
 11057,  16,  16384,  24717,  19,  10,   3, 111720440, 107353984, 111603056, 112660872, 110813248
 11058,  16,  16384,  39421,  10,  10,   0, 110926944, 110702024, 105125712, 109417184, 111031808
 11059,  16,  16384,    765,  10,  11,   1, 110785928, 109492256, 110614072, 110875928, 111102560
 11060,  16,  16384,  49584,  11,   8,   2, 111374664, 111115360, 111079432, 111128872, 113891224
 11061,  16,  16384,  17178,   8,   2,   3, 112918888, 112968016, 107746864, 113637880, 110793848
 11062,  16,  16384,   7981,   2,   1,   2, 110916448, 110823240, 110246168, 110028880, 113253864
 11063,  16,  16384,  21511,   1,   1,   0, 113971560, 113978328, 114157896, 107761488, 114003992
 11064,  16,  16384,  42534,   1,   5,   2, 112970072, 114133616, 113703856, 113941312, 113037776
 11065,  16,  16384,  23888,   5,  19,   3, 114219808, 113025456, 114117216, 114091168, 113163120
 11066,  16,  16384,  34831,  19,  18,   1, 112945280, 112920072, 111760072, 107100600, 112252048
 11067,  16,  16384,  13346,  18,  19,   1, 112683872, 112267424, 109516864, 112296376, 112946160
 11068,  16,  16384,  42685,  19,  16,   3, 113121736, 112869800, 112789560, 111645712, 114376688
 11069,  16,  16384,  32286,  16,  14,   2, 115630640, 115614016, 115653032, 115340352, 110321536
 11070,  16,  16384,  37927,  14,  16,   2, 109069760, 110733464, 110744632, 110904152, 115747112
 11071,  16,  16384,   8865,  16,  16,   0, 115199624, 114688368, 115252592, 115530736, 115766808
 11072,  16,  16384,   6277,  16,  17,   1, 114658984, 115774384, 115698696, 115520784, 116126256
 11073,  16,  16384,  41163,  17,   0,   3, 114621360, 114461688, 114691912, 116063672, 113878752
 11074,  16,  16384,  21098,   0,   3,   2, 113974360, 113749592, 112645088, 113699088, 111584784
 11075,  16,  16384,  24558,   3,   0,   2, 105218240, 111181240, 111195056, 109839768, 113996304
 11076,  16,  16384,  37367,   0,   7,   3, 113610448, 113612616, 113815672, 113741960, 111296984
 11077,  16,  16384,  18282,   7,  11,   2, 105078928, 111291424, 111117976, 111099424, 111506864
 11078,  16,  16384,  30033,  11,  10,   1, 110652416, 110161480, 111341864, 111643104, 110592368
 11079,  16,  16384,  10053,  10,  11,   1, 109704280, 104597320, 110515904, 110738848, 111590592
 11080,  16,  16384,  43532,  11,  18,   3, 111458960, 111325640, 111317176, 109195352, 112430952
 11081,  16,  16384,  11813,  18,  19,   1, 111760360, 112463584, 112350200, 109532704, 113553456
 11082,  16,  16384,  44006,  19,  19,   0, 111889296, 113094496, 112901128, 113091072, 106833120
 11083,  16,  16384,  21510,  19,  18,   1, 113213456, 112847416, 113030784, 111513688, 109766376
 11084,  16,  16384,  44355,  18,  23,   2, 112648912, 111065072, 111927680, 107162768, 113312424
 11085,  16,  16384,  12640,  23,   4,   3, 111935768, 113043712, 113263168, 107206400, 113937856
 11086,  16,  16384,  34219,   4,   4,   0, 114228024, 113938400, 112846552, 112864224, 112912032
 11087,  16,  16384,   8611,   4,   4,   0, 113914584, 113830320, 113843416, 114158456, 114234520
 11088,  16,  16384,  48564,   4,   4,   0, 112903200, 113741936, 113723344, 114060216, 113555024
 11089,  16,  16384,  45570,   4,   4,   0, 112929856, 105441384, 113748536, 113801792, 113832808
 11090,  16,  16384,  23133,   4,   5,   1, 113979304, 113448240, 112674560, 113959760, 113902656
 11091,  16,  16384,   8992,   5,   1,   2, 113792888, 113943920, 113972400, 113849360, 114221808
 11092,  16,  16384,  19414,   1,   5,   2, 107583880, 113393592, 114019144, 112785440, 114095184
 11093,  16,  16384,  16271,   5,   3,   2, 114192336, 111705752, 113907592, 114089064, 110981392
 11094,  16,  16384,  28778,   3,   1,   2, 111531328, 111297112, 111300896, 108900184, 114533104
 11095,  16,  16384,  39426,   1,  10,   3, 112798016, 114080920, 107600000, 112439280, 110852376
 11096,  16,  16384,  16460,  10,   1,   3, 110972056, 111076432, 110692336, 108542528, 113179448
 11097,  16,  16384,  42362,   1,   1,   0, 114075424, 114018376, 112871368, 114207752, 112879544
 11098,  16,  16384,  20410,   1,   0,   1, 112948240, 113906304, 113719176, 113928200, 113697120
 11099,  16,  16384,  12875,   0,  21,   3, 114094184, 113515960, 112444384, 113737056, 116574152
 11100,  16,  16384,   8066,  21,  14,   3, 116088312, 113340768, 114654736, 110786040, 110841792
 11101,  16,  16384,  26092,  14,  14,   0, 109110000, 111119008, 110914632, 110990592, 110993944
 11102,  16,  16384,  39305,  14,  12,   2, 111098880, 109800736, 104747968, 109716400, 114055520
 11103,  16,  16384,  41529,  12,   6,   3, 112898168, 112438296, 113729136, 113851808, 110301984
 11104,  16,  16384,  32072,   6,  22,   3, 110008248, 110193992, 110168456, 102991336, 112946096
 11105,  16,  16384,  19593,  22,  22,   0, 112864472, 112423192, 111343944, 112324424, 106773360
 11106,  16,  16384,  22556,  22,  22,   0, 112477040, 112334288, 112361920, 110866352, 112341448
 11107,  16,  16384,  35647,  22,  23,   1, 109771248, 112440992, 112440384, 112351072, 113263352
 11108,  16,  16384,  35179,  23,  23,   0, 111269096, 109130712, 113245096, 111854288, 112049232
 11109,  16,  16384,  49924,  23,  13,   3, 112388376, 112972880, 113341464, 113297488, 112726536
 11110,  16,  16384,  26251,  13,  17,   2, 114368752, 113224184, 108128584, 114090528, 116076520
 11111,  16,  16384,  13181,  17,  17,   0, 116101840, 114480600, 115645760, 115797696, 116207280
 11112,  16,  16384,   9547,  17,  16,   1, 115859832, 115824536, 108972360, 114893992, 113854272
 11113,  16,  16384,  39106,  16,  17,   1, 115531528, 115665048, 115442464, 115459536, 116132880
 11114,  16,  16384,  13536,  17,  12,   2, 116005384, 115558080, 115911296, 114670168, 113895176
 11115,  16,  16384,   2571,  12,  17,   2, 112790384, 106608848, 113748104, 113579608, 116076096
 11116,  16,  16384,  21289,  17,  17,   0, 114670528, 115912408, 115687840, 115790696, 116184184
 11117,  16,  16384,  17341,  17,  17,   0, 114759944, 115674448, 114428120, 108938392, 115777040
 11118,  16,  16384,  10424,  17,  17,   0, 116305320, 115676216, 114634208, 116137928, 116451672
 11119,  16,  16384,   6534,  17,  21,   3, 115918488, 115784376, 115991256, 114626424, 114701824
 11120,  16,  16384,  24204,  21,  19,   2, 114932480, 115941864, 116191472, 115812584, 113341824
 11121,  16,  16384,  19354,  19,  20,   2, 112161944, 113272616, 113158944, 113520120, 114929592
 11122,  16,  16384,  40469,  20,  18,   2, 114894280, 112503288, 109502168, 115492712, 112729200
 11123,  16,  16384,  47648,  18,   5,   3, 111378320, 106973864, 112203000, 112328288, 113889816
 11124,  16,  16384,  31032,   5,   4,   1, 113193984, 111660208, 110162800, 112905992, 112434920
 11125,  16,  16384,  26583,   4,   0,   2, 113786864, 113763424, 113752904, 113851880, 113644400
 11126,  16,  16384,  11141,   0,   1,   1, 107539328, 113500136, 113699592, 111201448, 113048552
 11127,  16,  16384,  16408,   1,   1,   0, 114158248, 113915576, 114319760, 113807752, 114203608
 11128,  16,  16384,  44439,   1,   1,   0, 112935920, 112645992, 114031000, 107692368, 114116440
 11129,  16,  16384,  16110,   1,   0,   1, 114278936, 113078712, 114087912, 114111912, 113988744
 11130,  16,  16384,  47516,   0,   5,   2, 113681944, 113606832, 113717824, 113604648, 114047816
 11131,  16,  16384,  23199,   5,   0,   2, 112845712, 114081704, 112676256, 107881312, 112506392
 11132,  16,  16384,  38255,   0,   0,   0, 113496960, 113694216, 113780176, 113467064, 113725512
 11133,  16,  16384,  16918,   0,   0,   0, 107649552, 113642376, 111071168, 113722968, 113902088
 11134,  16,  16384,  33925,   0,   5,   2, 112730776, 112718256, 113649400, 113656976, 114166408
 11135,  16,  16384,  38790,   5,  19,   3, 111650840, 113859808, 113154792, 113795536, 113621552
 11136,  16,  16384,  17526,  19,  18,   1, 113426240, 111823616, 113348696, 113307888, 112344096
 11137,  16,  16384,  32216,  18,  18,   0, 112411128, 111037032, 110970224, 112643000, 112552344
 11138,  16,  16384,   5581,  18,  15,   3, 111368936, 110951424, 112349016, 112570168, 111404160
 11139,  16,  16384,  11838,  15,  15,   0, 111675312, 109672776, 104668920, 109973288, 110397216
 11140,  16,  16384,  47331,  15,  14,   1, 111424520, 111481208, 111337080, 111181616, 110829608
 11141,  16,  16384,  15668,  14,  12,   2, 111004440, 109616144, 110846880, 110932592, 113470368
 11142,  16,  16384,  42697,  12,  15,   2, 113924368, 112707096, 112985256, 109755552, 111727192
 11143,  16,  16384,  25518,  15,  16,   2, 111590472, 111511008, 111654880, 111293792, 115496240
 11144,  16,  16384,  29972,  16,  16,   0, 115403040, 115343552, 114166480, 114271216, 114434304
 11145,  16,  16384,  36899,  16,  16,   0, 116150936, 115350352, 115468976, 115401456, 115502320
 11146,  16,  16384,   1671,  16,  13,   2, 109689568, 115221232, 115102848, 115252576, 114411696
 11147,  16,  16384,   3610,  13,  19,   3, 114067032, 105575400, 114142968, 113989520, 112212328
 11148,  16,  16384,  24503,  19,  20,   2, 113411096, 112015632, 113217984, 110649720, 115368080
 11149,  16,  16384,   7114,  20,  21,   1, 115443440, 113969672, 114367824, 114209656, 115948728
 11150,  16,  16384,   2407,  21,  20,   1, 114918304, 116147480, 115742752, 114613808, 115649800
 11151,  16,  16384,  26905,  20,  20,   0, 109751784, 115456944, 115401544, 114332336, 114419448
 11152,  16,  16384,  33978,  20,  20,   0, 114583744, 115771296, 115223648, 115464816, 114493112
 11153,  16,  16384,  34328,  20,  10,   3, 115469104, 115463768, 115511136, 109676520, 109889104
 11154,  16,  16384,  12563,  10,  11,   1, 110961256, 110744928, 110758744, 104644384, 110310480
 11155,  16,  16384,  16406,  11,  11,   0, 111352144, 110409184, 111610968, 111376872, 111495128
 11156,  16,  16384,  34567,  11,  11,   0, 111880088, 110158272, 110519416, 111456480, 111484456
 11157,  16,  16384,  33815,  11,  10,   1, 111385720, 104148392, 111212400, 110574512, 111116392
 11158,  16,  16384,  35796,  10,  10,   0, 109856512, 111230784, 111014360, 109729216, 111088304
 11159,  16,  16384,  36793,  10,  10,   0, 110847584, 104576344, 110482432, 109453240, 110930736
 11160,  16,  16384,  20007,  10,  21,   3, 110680616, 110968960, 109498736, 110783048, 114848208
 11161,  16,  16384,  21088,  21,  20,   1, 116055144, 114558856, 115826400, 115973744, 114109400
 11162,  16,  16384,  46798,  20,  21,   1, 115481168, 115180200, 115456416, 115144576, 111563656
 11163,  16,  16384,  35054,  21,  23,   2, 112460928, 114567032, 114710736, 115700032, 112195472
 11164,  16,  16384,  46989,  23,   5,   3, 113591784, 113283128, 111898464, 113225296, 114040064
 11165,  16,  16384,  19430,   5,   2,   2, 113719560, 106819216, 112291936, 113238408, 111077920
 11166,  16,  16384,  39922,   2,   1,   2, 110785552, 103536016, 110760840, 110878712, 114482880
 11167,  16,  16384,  21462,   1,   1,   0, 107902752, 113876488, 113961112, 113750608, 112932592
 11168,  16,  16384,   7566,   1,   0,   1, 112768848, 114039792, 114011008, 113937488, 114071920
 11169,  16,  16384,  23025,   0,   1,   1, 112566248, 113361352, 113865776, 112336720, 114037280
 11170,  16,  16384,  13579,   1,   0,   1, 112885104, 112665800, 111682776, 114074928, 112880600
 11171,  16,  16384,  23779,   0,   1,   1, 113920616, 113762968, 113889496, 112120080, 107902128
 11172,  16,  16384,  12129,   1,   1,   0, 113857088, 113924096, 113000128, 112721344, 111473272
 11173,  16,  16384,   4204,   1,   4,   2, 114191088, 114290256, 113715264, 113936920, 107692168
 11174,  16,  16384,  15994,   4,   1,   2, 112881824, 113655832, 113461376, 112231264, 113051992
 11175,  16,  16384,  23372,   1,   1,   0, 113951552, 111941912, 112767496, 113804024, 113791184
 11176,  16,  16384,  29445,   1,   0,   1, 114373936, 113830032, 114012632, 113927008, 112593712
 11177,  16,  16384,   3031,   0,   0,   0, 112578992, 113595416, 113912640, 113553272, 112514104
 11178,  16,  16384,   6526,   0,   0,   0, 113783976, 107477920, 113271488, 113567080, 112410944
 11179,  16,  16384,   3342,   0,   1,   1, 113909072, 113874688, 112083904, 112544608, 113869976
 11180,  16,  16384,  24730,   1,   0,   1, 111501768, 112950208, 114104400, 114264576, 107465272
 11181,  16,  16384,  10490,   0,   1,   1, 113799032, 113772264, 112471936, 113575224, 108054576
 11182,  16,  16384,  13504,   1,   2,   2, 112936728, 114010096, 112897560, 112808608, 110838752
 11183,  16,  16384,  16847,   2,  18,   3, 109612928, 109512064, 110752184, 110802520, 111486440
 11184,  16,  16384,  26475,  18,  18,   0, 113024952, 112471072, 112219312, 111086096, 106868792
 11185,  16,  16384,  22754,  18,  18,   0, 112494016, 112457240, 110003128, 112606088, 112511904
 11186,  16,  16384,   7500,  18,  22,   2, 112775776, 111032048, 112483224, 112384592, 112652064
 11187,  16,  16384,  16590,  22,  11,   3, 111280088, 112481896, 112453672, 112625368, 111547344
 11188,  16,  16384,  22680,  11,  11,   0, 111451240, 110403144, 111446512, 102631544, 111428040
 11189,  16,  16384,  23188,  11,   9,   2, 111637280, 110477400, 111471040, 111344352, 113219400
 11190,  16,  16384,   6879,   9,   0,   3, 114647280, 114301720, 114394488, 113879568, 112398952
 11191,  16,  16384,   9634,   0,   0,   0, 113599176, 112463192, 112399792, 113585144, 113825608
 11192,  16,  16384,   8184,   0,   3,   2, 113004232, 113767648, 113505592, 113971408, 111548072
 11193,  16,  16384,  10986,   3,   2,   1, 111461240, 105582576, 107839992, 111331472, 110807200
 11194,  16,  16384,  29845,   2,   9,   3, 105072696, 110691632, 110481632, 110568728, 114281296
 11195,  16,  16384,  37140,   9,   9,   0, 114203480, 114052112, 114067856, 113935896, 113189864
 11196,  16,  16384,  33533,   9,   9,   0, 114206928, 114037504, 114089632, 114249344, 113245328
 11197,  16,  16384,   7383,   9,   8,   1, 114212456, 113238328, 113985128, 113697912, 113828328
 11198,  16,  16384,  39320,   8,   7,   2, 111630712, 113673040, 113866096, 112832064, 111306840
 11199,  16,  16384,  39430,   7,   6,   1, 111327840, 111239664, 111345472, 111252800, 109146816
 11200,  16,  16384,  20709,   6,   6,   0, 104675168, 109772824, 110066688, 109862304, 110279800
 11201,  16,  16384,  12303,   6,   6,   0, 110289592, 109774776, 108937224, 110105776, 110100976
 11202,  16,  16384,  35318,   6,  19,   3, 110418056, 107589120, 108770304, 110098296, 112284264
 11203,  16,  16384,  16257,  19,  19,   0, 113319632, 107320920, 113097744, 113144888, 113193768
 11204,  16,  16384,   4934,  19,  19,   0, 113341640, 113125192, 113219256, 113196720, 110905520
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 11208,  16,  16384,  32938,  20,  19,   2, 112769512, 115259936, 115537768, 115370336, 113356784
 11209,  16,  16384,  36787,  19,  21,   2, 113509560, 110707488, 112213384, 113271912, 116115168
 11210,  16,  16384,   4687,  21,  21,   0, 114668480, 114452488, 115943504, 115984992, 108920720
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 11212,  16,  16384,  36113,  18,  19,   1, 111533832, 112446704, 111243784, 112529720, 113162608
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 11215,  16,  16384,  12120,  19,  18,   1, 113323432, 107298720, 113126656, 113159624, 112655440
 11216,  16,  16384,  26093,  18,  19,   1, 106840152, 112128208, 111061520, 112515224, 113370648
 11217,  16,  16384,   3700,  19,  19,   0, 113324896, 113487936, 113313608, 113316672, 107611072
 11218,  16,  16384,  37383,  19,  20,   2, 113521952, 113133168, 110455720, 111869864, 115679896
 11219,  16,  16384,  25789,  20,  21,   1, 115331208, 112667120, 109774248, 115350032, 114631488
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 11221,  16,  16384,  23555,  23,  12,   3, 113538528, 112950472, 113334728, 113429872, 113743608
 11222,  16,  16384,  36990,  12,  14,   2, 113764200, 113810848, 112872280, 113905816, 109830832
 11223,  16,  16384,  32806,  14,   1,   3, 109802624, 110877808, 109679152, 104636944, 112904648
 11224,  16,  16384,  38302,   1,   1,   0, 114416720, 113937728, 112882664, 114064944, 106707640
 11225,  16,  16384,  39525,   1,   5,   2, 113957928, 112468744, 113778376, 114041192, 114246072
 11226,  16,  16384,  39057,   5,   4,   1, 113004080, 113890768, 113957976, 112834624, 114161696
 11227,  16,  16384,  16670,   4,   1,   2, 112404400, 106746096, 113699128, 113692736, 113905864
 11228,  16,  16384,   2467,   1,   2,   2, 113939280, 107664008, 112645656, 113617736, 111127280
 11229,  16,  16384,   8924,   2,  21,   3, 110832632, 110471128, 109731240, 109450832, 115805864
 11230,  16,  16384,  24738,  21,  21,   0, 116062240, 115861320, 115867104, 114520168, 113891728
 11231,  16,  16384,  18348,  21,  19,   2, 116388536, 116103920, 114522432, 115950096, 111985464
 11232,  16,  16384,  20368,  19,  19,   0, 113425488, 107657816, 113182960, 113067816, 113366912
 11233,  16,  16384,  41843,  19,  22,   2, 113428952, 113254840, 113384224, 113337048, 111586312
 11234,  16,  16384,   3909,  22,  23,   1, 112421112, 112384552, 112318144, 110199480, 113235184
 11235,  16,  16384,  38349,  23,  23,   0, 113449552, 107412152, 113226448, 112940416, 113122632
 11236,  16,  16384,  22803,  23,  12,   3, 113130312, 109092400, 112006624, 113422536, 114005400
 11237,  16,  16384,  49321,  12,  13,   1, 113326992, 113349552, 107161808, 113371216, 114237616
 11238,  16,  16384,  23228,  13,  14,   2, 114412920, 108086864, 114126408, 113952232, 108688536
 11239,  16,  16384,  12825,  14,   9,   3, 105813024, 110678472, 110716024, 108402928, 113047880
 11240,  16,  16384,   5516,   9,   8,   1, 114460224, 114100168, 114222136, 114205680, 113631216
 11241,  16,  16384,  14542,   8,   8,   0, 113249000, 105771800, 112522216, 113803176, 113758936
 11242,  16,  16384,  26100,   8,   7,   2, 113819112, 113522176, 113507784, 112437704, 103139848
 11243,  16,  16384,   2579,   7,   9,   2, 111648432, 111594536, 110647648, 110789464, 114282656
 11244,  16,  16384,  17149,   9,   9,   0, 114277744, 113162336, 112950840, 112983896, 114353896
 11245,  16,  16384,  46179,   9,   4,   3, 114533904, 114177048, 114017880, 114077768, 113408992
 11246,  16,  16384,  12656,   4,   4,   0, 110204320, 114115400, 114014304, 113998440, 114068152
 11247,  16,  16384,  27652,   4,   1,   2, 114122072, 113998840, 112482040, 113972672, 113324832
 11248,  16,  16384,   3751,   1,   0,   1, 113244168, 113596800, 112864728, 114241528, 113948472
 11249,  16,  16384,   9052,   0,   0,   0, 114142032, 113595136, 113642192, 113545984, 112449440
 11250,  16,  16384,  26901,   0,   1,   1, 113733864, 113677752, 112354840, 108675448, 112996712
 11251,  16,  16384,  12965,   1,  10,   3, 113971720, 114081720, 106389440, 113858176, 111117416
 11252,  16,  16384,  30115,  10,   0,   3, 111123960, 110978104, 110644680, 109999456, 107646488
 11253,  16,  16384,  31728,   0,   1,   1, 113836088, 111171912, 112157080, 113430360, 113852600
 11254,  16,  16384,  47059,   1,   9,   3, 114080176, 114349736, 114195648, 114042224, 114248984
 11255,  16,  16384,  20147,   9,   7,   2, 108488200, 113651648, 113974872, 112903584, 110426240
 11256,  16,  16384,  13121,   7,  16,   3, 111646352, 103178616, 110907048, 111564368, 115225944
 11257,  16,  16384,  29867,  16,  13,   2, 115777080, 115344664, 114146656, 115035600, 114073592
 11258,  16,  16384,  19652,  13,  13,   0, 108801304, 112186464, 112249264, 113037776, 114196248
 11259,  16,  16384,  27683,  13,  16,   2, 114142944, 113822432, 114214128, 114235832, 113978568
 11260,  16,  16384,  18514,  16,  14,   2, 113438992, 115293232, 109605784, 115416400, 110974488
 11261,  16,  16384,  39161,  14,  14,   0, 111029632, 110245320, 110643496, 110869296, 110933280
 11262,  16,  16384,   7971,  14,   9,   3, 111098408, 104947600, 108695968, 109768728, 113007192
 11263,  16,  16384,  48505,   9,   7,   2, 112918328, 111524224, 114411616, 114139568, 110265184
 11264,  16,  16384,  14675,   7,   3,   3, 111720408, 111551112, 111312728, 111452032, 111440024
 11265,  16,  16384,  36640,   3,   1,   2, 111426264, 107702888, 111430856, 105625504, 114337792
 11266,  16,  16384,   7231,   1,   0,   1, 112999992, 112840928, 114042960, 113769208, 112845960
 11267,  16,  16384,  41329,   0,  14,   3, 113838160, 113658792, 112513200, 113605264, 110949744
 11268,  16,  16384,  38109,  14,  12,   2, 110046936, 110872928, 110889424, 110823088, 112654616
 11269,  16,  16384,   6346,  12,   4,   3, 113748048, 107656240, 113740320, 113462864, 111759224
 11270,  16,  16384,  40136,   4,   5,   1, 108519200, 113498480, 112633384, 113828960, 107971744
 11271,  16,  16384,   9190,   5,   1,   2, 114149256, 113939696, 113978240, 114158680, 113945984
 11272,  16,  16384,  48360,   1,   4,   2, 114362944, 112824528, 114147528, 114375064, 114069088
 11273,  16,  16384,  23675,   4,  23,   3, 113919032, 113396224, 113836544, 113745304, 113396568
 11274,  16,  16384,  32465,  23,  23,   0, 110950656, 105901104, 113254432, 113102160, 113359600
 11275,  16,  16384,  39271,  23,  23,   0, 113581240, 113103272, 113326280, 113192344, 113356800
 11276,  16,  16384,  27303,  23,  22,   1, 113363256, 113149208, 110817952, 111937888, 112720936
 11277,  16,  16384,  46479,  22,  23,   1, 111260744, 112429288, 112546320, 111190216, 113343408
 11278,  16,  16384,  15898,  23,  22,   1, 113599272, 113216600, 113198688, 110919328, 111791216
 11279,  16,  16384,  46774,  22,  23,   1, 112313056, 111285712, 112369160, 112559384, 113260096
 11280,  16,  16384,   7181,  23,  22,   1, 113522368, 112986344, 113077936, 113056152, 112536968
 11281,  16,  16384,  34057,  22,  20,   2, 112613936, 111376264, 111185336, 112757088, 114567120
 11282,  16,  16384,  32718,  20,   5,   3, 115376648, 115351552, 115297024, 113695112, 114093744
 11283,  16,  16384,  29383,   5,  16,   3, 114149824, 113965952, 112598032, 113912736, 115397728
 11284,  16,  16384,  33103,  16,  15,   2, 114624512, 115307160, 109483808, 115571864, 111347152
 11285,  16,  16384,  39528,  15,  13,   2, 111579728, 104552136, 111362024, 111492016, 114238808
 11286,  16,  16384,  23838,  13,   7,   3, 108325888, 112765736, 114442664, 114216592, 111600920
 11287,  16,  16384,  24388,   7,  23,   3, 111376120, 111443016, 110638760, 111083720, 113396240
 11288,  16,  16384,  21711,  23,  23,   0, 112145072, 112207784, 106536584, 113004832, 113537856
 11289,  16,  16384,  27918,  23,  22,   1, 113625264, 113275800, 113125648, 113253560, 111100088
 11290,  16,  16384,  24000,  22,  22,   0, 111367304, 112235616, 112804856, 112231952, 112688032
 11291,  16,  16384,  36165,  22,  20,   2, 112674592, 112586760, 111436368, 112370536, 115664752
 11292,  16,  16384,  15801,  20,  21,   1, 114140856, 115432352, 114182424, 115161688, 114341744
 11293,  16,  16384,  10225,  21,  19,   2, 116076384, 110194968, 115870168, 114342400, 113530736
 11294,  16,  16384,  25255,  19,  18,   1, 113657936, 113293408, 112047680, 113452296, 112630680
 11295,  16,  16384,   2117,  18,   2,   3, 112938184, 111044416, 112444264, 112570512, 110809520
 11296,  16,  16384,  10978,   2,   5,   2, 109586744, 110876880, 110777424, 110925120, 114364152
 11297,  16,  16384,  43186,   5,   5,   0, 114082024, 113895448, 114020912, 113635088, 114819552
 11298,  16,  16384,  29518,   5,   5,   0, 112974600, 114104864, 112921944, 113105760, 114013288
 11299,  16,  16384,   5421,   5,   2,   2, 114012544, 113870264, 113855808, 113904872, 108797288
 11300,  16,  16384,  11645,   2,   4,   2, 110778088, 110714288, 110632512, 109590856, 113407472
 11301,  16,  16384,  48084,   4,   5,   1, 113578032, 112396224, 112639424, 112498944, 114055312
 11302,  16,  16384,  13138,   5,   0,   2, 114241792, 112754592, 114231464, 114002648, 113707944
 11303,  16,  16384,   5864,   0,   1,   1, 112639912, 107632880, 113591912, 110977152, 114035688
 11304,  16,  16384,  38062,   1,   0,   1, 114032024, 107555288, 113736984, 113955712, 113486432
 11305,  16,  16384,  39145,   0,   6,   3, 114033296, 113518616, 112333368, 113614192, 109044160
 11306,  16,  16384,  42082,   6,  11,   2, 110186800, 110249856, 108833304, 109989384, 111563864
 11307,  16,  16384,   1761,  11,  11,   0, 111409520, 111681704, 111163920, 110464280, 111763624
 11308,  16,  16384,  38954,  11,  14,   3, 110322128, 111267880, 110511056, 111358176, 109630504
 11309,  16,  16384,  17863,  14,  14,   0, 109975200, 109611584, 110918520, 111081184, 110944176
 11310,  16,  16384,  33867,  14,   6,   3, 110885160, 110653048, 111120480, 111219544, 110383696
 11311,  16,  16384,   7798,   6,   9,   2, 110121160, 108994904, 108733856, 109810752, 114293336
 11312,  16,  16384,  11609,   9,   8,   1, 114304616, 113004792, 114210432, 106964000, 114049760
 11313,  16,  16384,  20557,   8,   5,   3, 112818720, 112746136, 113770968, 113627480, 114355160
 11314,  16,  16384,  34979,   5,  21,   3, 114059336, 114051480, 114012088, 113793776, 114540800
 11315,  16,  16384,  35757,  21,  21,   0, 115892944, 115890624, 115904704, 115678568, 114715296
 11316,  16,  16384,  21322,  21,   4,   3, 116006136, 115698984, 114615496, 115955360, 113768008
 11317,  16,  16384,   1467,   4,   4,   0, 114192568, 106543072, 113628048, 111311176, 113168616
 11318,  16,  16384,  11112,   4,   5,   1, 113553232, 113818168, 113731632, 114199432, 113898600
 11319,  16,  16384,  42457,   5,   4,   1, 114198576, 112604296, 113062744, 113092120, 113056976
 11320,  16,  16384,  33639,   4,   3,   2, 112791520, 113127704, 113187632, 113701248, 111623608
 11321,  16,  16384,  28261,   3,   2,   1, 111633264, 111482424, 110295168, 111448824, 110602128
 11322,  16,  16384,  27726,   2,   3,   1, 110854432, 109531552, 111024424, 110628096, 111646328
 11323,  16,  16384,  35351,   3,   0,   2, 111484720, 111326760, 111378720, 111247736, 113825480
 11324,  16,  16384,  36772,   0,   0,   0, 113890944, 112400768, 106277344, 113390400, 112524112
 11325,  16,  16384,   3547,   0,   5,   2, 113640512, 113637416, 113489280, 113471728, 113836816
 11326,  16,  16384,  49244,   5,   0,   2, 112387112, 112245744, 114075464, 113246648, 107761352
 11327,  16,  16384,  36348,   0,   0,   0, 112552312, 112253392, 113626960, 113442888, 113711528
 11328,  16,  16384,  33065,   0,   1,   1, 113865088, 113399888, 113667152, 113567840, 114241232
 11329,  16,  16384,  38311,   1,   0,   1, 114172504, 113962144, 107751784, 113847408, 113954744
 11330,  16,  16384,  18370,   0,   0,   0, 113734400, 113577072, 113683704, 113700808, 114024584
 11331,  16,  16384,  47301,   0,  12,   3, 112386376, 113260864, 112421304, 113515808, 112948672
 11332,  16,  16384,  21172,  12,  13,   1, 113405304, 113701904, 113464336, 113570288, 113308712
 11333,  16,  16384,  37708,  13,  23,   3, 114099312, 113042232, 114102528, 114017256, 113489712
 11334,  16,  16384,  49218,  23,  19,   2, 113564104, 113272776, 113356224, 112090560, 112094360
 11335,  16,  16384,   8696,  19,  19,   0, 113346640, 113142736, 113160864, 113244144, 110536648
 11336,  16,  16384,  16619,  19,   9,   3, 113656992, 113106312, 113153376, 113525144, 113010848
 11337,  16,  16384,  42801,   9,   8,   1, 114314672, 113979800, 114366368, 112878224, 113715560
 11338,  16,  16384,  27149,   8,   6,   2, 113682280, 113872472, 111727816, 105700112, 104842088
 11339,  16,  16384,  45778,   6,   6,   0, 109801048, 109108992, 109894144, 110076816, 110047416
 11340,  16,  16384,  13954,   6,   8,   2, 109948888, 107550480, 110271136, 110093368, 106889000
 11341,  16,  16384,  19763,   8,   8,   0, 114095256, 112547792, 113575136, 113676160, 113817136
 11342,  16,  16384,  15059,   8,  21,   3, 113840432, 113547864, 113322968, 113672768, 115413184
 11343,  16,  16384,  39121,  21,   5,   3, 116125400, 115799600, 115704656, 114653456, 114099840
 11344,  16,  16384,   9291,   5,   5,   0, 113947440, 114102688, 114004104, 113813632, 113364912
 11345,  16,  16384,  49682,   5,   0,   2, 112671072, 112938888, 112746744, 114139256, 112323088
 11346,  16,  16384,  37937,   0,  15,   3, 113577096, 113514384, 113768824, 113709600, 111416744
 11347,  16,  16384,  15526,  15,  12,   2, 111499328, 111412592, 111460432, 111222816, 113203120
 11348,  16,  16384,  12595,  12,  13,   1, 113319872, 112581000, 112417360, 113250944, 112837704
 11349,  16,  16384,  21410,  13,  10,   3, 114019736, 114057792, 114026968, 107326808, 110871384
 11350,  16,  16384,  30951,  10,   8,   2, 109779568, 111017112, 109758992, 110889584, 113756000
 11351,  16,  16384,  24553,   8,   8,   0, 107585544, 113701536, 113565168, 113749192, 113669840
 11352,  16,  16384,  19252,   8,   9,   1, 113671432, 113920304, 112725880, 113819256, 108362456
 11353,  16,  16384,  41582,   9,  11,   2, 114287520, 114346824, 113129872, 113675176, 111705752
 11354,  16,  16384,  12364,  11,  20,   3, 111648424, 110780904, 110678880, 110175904, 115312576
 11355,  16,  16384,   9891,  20,  21,   1, 115507944, 109403280, 114128560, 115278840, 115915240
 11356,  16,  16384,  35161,  21,   2,   3, 116085672, 115808480, 115741968, 115561320, 110663376
 11357,  16,  16384,  31819,   2,   1,   2, 110667984, 110917880, 110789176, 110736144, 114067376
 11358,  16,  16384,   7511,   1,   1,   0, 106593968, 114087152, 114042680, 113824776, 114069848
 11359,  16,  16384,  43065,   1,  14,   3, 113993352, 112463656, 113584840, 113258776, 104783184
 11360,  16,  16384,  46125,  14,  15,   1, 111014784, 108575976, 110930416, 109835552, 110572976
 11361,  16,  16384,   4844,  15,  14,   1, 105618768, 111407624, 110324960, 111477256, 111017960
 11362,  16,  16384,  36783,  14,  13,   2, 111073216, 107662600, 107860152, 108543912, 113865712
 11363,  16,  16384,  33822,  13,  12,   1, 114445120, 114149280, 113897976, 112814696, 113639744
 11364,  16,  16384,  17876,  12,  22,   3, 113730480, 113482704, 111379640, 113880344, 112683608
 11365,  16,  16384,   3470,  22,  10,   3, 112717856, 106667016, 112292656, 112412264, 110881744
 11366,  16,  16384,  45241,  10,   5,   3, 111206936, 110806288, 110919032, 104977064, 114343648
 11367,  16,  16384,  41881,   5,   0,   2, 113940744, 113955800, 112878112, 112717880, 112708048
 11368,  16,  16384,  36403,   0,  22,   3, 114050912, 107538872, 113707376, 113601232, 112723000
 11369,  16,  16384,  24599,  22,  22,   0, 112576080, 111254936, 111158056, 112453624, 106509560
 11370,  16,  16384,  26758,  22,  21,   2, 111588368, 112269520, 112215680, 112298096, 110395560
 11371,  16,  16384,  25025,  21,  19,   2, 114742616, 115728920, 115722952, 115941856, 113457824
 11372,  16,  16384,  26088,  19,   5,   3, 110579888, 113304080, 113301704, 113126952, 112791648
 11373,  16,  16384,  21328,   5,  12,   3, 113808304, 111402392, 114029992, 113983288, 113633768
 11374,  16,  16384,  46061,  12,  12,   0, 113974096, 106263624, 113026880, 112712536, 113890560
 11375,  16,  16384,  18031,  12,  17,   2, 112869880, 113713600, 113821280, 113526152, 115904304
 11376,  16,  16384,  13247,  17,  17,   0, 115945736, 115977728, 115441352, 114621272, 116118648
 11377,  16,  16384,  28157,  17,  17,   0, 116287864, 114747856, 115732848, 115930720, 109029200
 11378,  16,  16384,  27011,  17,   2,   3, 114898768, 115555224, 115670632, 115611552, 109743976
 11379,  16,  16384,  38194,   2,   1,   2, 111144728, 110946224, 110522920, 109542304, 113937472
 11380,  16,  16384,  23780,   1,   6,   3, 114076192, 110811440, 108379104, 112835448, 110255624
 11381,  16,  16384,  17914,   6,   6,   0, 110102456, 109008008, 104443712, 110039544, 109017328
 11382,  16,  16384,  25229,   6,  23,   3, 110447640, 108745568, 109895904, 110277960, 113501520
 11383,  16,  16384,   1379,  23,  18,   2, 111501096, 112444544, 113200024, 113187424, 112516112
 11384,  16,  16384,  30697,  18,  21,   2, 111535520, 112090592, 111008728, 111864040, 115026448
 11385,  16,  16384,  35480,  21,  21,   0, 113468272, 115926776, 110308104, 115613824, 114702864
 11386,  16,  16384,   4639,  21,  21,   0, 115984376, 115874600, 115672440, 115848224, 115737176
 11387,  16,  16384,  44320,  21,   8,   3, 115978016, 114189544, 113479888, 116039832, 113599576
 11388,  16,  16384,  32513,   8,   9,   1, 113661656, 113542392, 112758320, 113067368, 114208120
 11389,  16,  16384,  39980,   9,   8,   1, 114107672, 114117496, 113842912, 111952376, 108187112
 11390,  16,  16384,  34924,   8,   0,   3, 112699232, 113702512, 113717424, 113841096, 107673072
 11391,  16,  16384,  25413,   0,  23,   3, 113817408, 113672416, 113563160, 113709784, 110729712
 11392,  16,  16384,  27965,  23,  22,   1, 113606336, 113391576, 111920880, 113261352, 111592856
 11393,  16,  16384,  48305,  22,  23,   1, 111221896, 112314592, 106786312, 112033672, 107620952
 11394,  16,  16384,  39876,  23,  23,   0, 110569024, 113212056, 113245680, 112051544, 113446080
 11395,  16,  16384,  13814,  23,  23,   0, 113416560, 113193112, 113161480, 113205632, 112377176
 11396,  16,  16384,  38118,  23,  23,   0, 113411256, 113429384, 103831592, 113237608, 112022640
 11397,  16,  16384,   9420,  23,  22,   1, 113386048, 113171944, 113412600, 113109832, 106946896
 11398,  16,  16384,  10851,  22,   3,   3, 112362368, 112371272, 111200696, 112671768, 108045928
 11399,  16,  16384,  12425,   3,  17,   3, 110467392, 111463728, 111384680, 111400736, 116198992
 11400,  16,  16384,  24561,  17,  15,   2, 116332240, 116126800, 115721816, 113632040, 111717472
 11401,  16,  16384,  11286,  15,  15,   0, 111823944, 104408200, 110086000, 111597128, 111645624
 11402,  16,  16384,  40451,  15,  15,   0, 111700912, 111458624, 111228552, 110283168, 110509952
 11403,  16,  16384,  24480,  15,  15,   0, 111902512, 111545608, 111500208, 111488576, 109944904
 11404,  16,  16384,  28947,  15,  18,   3, 111724576, 111451240, 111278768, 111306440, 112536120
 11405,  16,  16384,  25237,  18,  18,   0, 111759272, 112044832, 112345912, 112325000, 112362568
 11406,  16,  16384,  30631,  18,  21,   2, 112600568, 111301328, 111885608, 110763600, 116074128
 11407,  16,  16384,  22687,  21,  21,   0, 116076528, 115797128, 105464480, 115544464, 115789904
 11408,  16,  16384,  42563,  21,   7,   3, 116053784, 115673312, 114807328, 114678760, 111477864
 11409,  16,  16384,  39296,   7,   7,   0, 110461424, 105465664, 111382104, 111278616, 111588208
 11410,  16,  16384,  24851,   7,  15,   3, 111588664, 111381896, 111447520, 109352880, 111321600
 11411,  16,  16384,  22607,  15,  14,   1, 111467488, 110186184, 111434064, 110314472, 111135008
 11412,  16,  16384,  39262,  14,  13,   2, 111248200, 110778160, 110680344, 111005888, 109190768
 11413,  16,  16384,  43161,  13,  12,   1, 114074072, 114280536, 113783704, 113805224, 114015816
 11414,  16,  16384,  18964,  12,   5,   3, 107903032, 113695424, 113727648, 113776168, 113071224
 11415,  16,  16384,  18553,   5,   5,   0, 113637400, 113057880, 113882488, 113819328, 114252560
 11416,  16,  16384,  28064,   5,   5,   0, 114201968, 113020912, 114068528, 108044544, 113043056
 11417,  16,  16384,   6054,   5,   4,   1, 114169088, 113783480, 112839760, 112757224, 113955328
 11418,  16,  16384,  46256,   4,   1,   2, 113827728, 112455680, 113628064, 113492112, 113960464
 11419,  16,  16384,  14774,   1,  14,   3, 107792576, 112604264, 113986696, 113859504, 109810384
 11420,  16,  16384,  43092,  14,  15,   1, 108888936, 111062040, 110894688, 104670904, 111505456
 11421,  16,  16384,  24236,  15,  15,   0, 111567336, 111473064, 111624416, 111334296, 111372256
 11422,  16,  16384,  35774,  15,   0,   3, 110486368, 109506168, 111729520, 110520136, 113989840
 11423,  16,  16384,  15543,   0,   3,   2, 113826552, 112549768, 107684800, 113573312, 111585024
 11424,  16,  16384,  18286,   3,   2,   1, 110558456, 111383200, 110253576, 103007496, 111127008
 11425,  16,  16384,  25908,   2,   6,   3, 110030928, 110814456, 109848504, 110709856, 110193728
 11426,  16,  16384,  29562,   6,   7,   1, 110552528, 110049320, 109886944, 110057496, 110368784
 11427,  16,  16384,   5121,   7,   9,   2, 111633184, 111230304, 110299072, 111439832, 113474576
 11428,  16,  16384,   8682,   9,  10,   2, 113879680, 112926088, 114130440, 113910416, 110981352
 11429,  16,  16384,   5351,  10,  10,   0, 111029600, 110830528, 109290568, 109986016, 111191528
 11430,  16,  16384,  39614,  10,  11,   1, 109667688, 109894048, 104817016, 111094752, 112039464
 11431,  16,  16384,   3737,  11,  10,   1, 111684768, 111438688, 111579400, 110045320, 109760096
 11432,  16,  16384,   2998,  10,  18,   3, 109932192, 110830712, 109861088, 109689312, 111441480
 11433,  16,  16384,   1461,  18,  14,   3, 112832656, 112440400, 112668208, 112343728, 110931000
 11434,  16,  16384,  43291,  14,  15,   1, 111054760, 110840632, 110957664, 110883192, 111388728
 11435,  16,  16384,  46476,  15,  17,   2, 110517600, 111495976, 111342728, 111320136, 114903432
 11436,  16,  16384,  10766,  17,  16,   1, 115873336, 115788680, 110256496, 115723168, 115569872
 11437,  16,  16384,  32165,  16,  17,   1, 107399856, 115363048, 113926792, 115496144, 116235816
 11438,  16,  16384,   5809,  17,  18,   3, 114742432, 116190688, 115842408, 116148888, 112413528
 11439,  16,  16384,  38759,  18,  21,   2, 112837960, 105439824, 110847768, 111156192, 116138256
 11440,  16,  16384,  42427,  21,  20,   1, 110498208, 115864776, 114280632, 115758704, 115557240
 11441,  16,  16384,  16961,  20,  23,   2, 115522664, 115570960, 115156216, 106921160, 112127288
 11442,  16,  16384,  14614,  23,  23,   0, 113248296, 112961896, 113280832, 113163032, 113462792
 11443,  16,  16384,  32056,  23,  21,   2, 113386624, 113008712, 106156656, 111957080, 115087192
 11444,  16,  16384,  37865,  21,  18,   2, 114815032, 114592352, 115694816, 115791952, 112636648
 11445,  16,  16384,  30165,  18,  18,   0, 112496976, 112384856, 112277240, 112356768, 108842472
 11446,  16,  16384,  23278,  18,   4,   3, 108004152, 111039448, 112593256, 112688288, 113841296
 11447,  16,  16384,  36270,   4,   1,   2, 111192920, 113636144, 113801000, 113584744, 114324592
 11448,  16,  16384,   4000,   1,  21,   3, 114114984, 112900792, 113984136, 112642904, 114655024
 11449,  16,  16384,  20961,  21,  22,   2, 116040136, 115886504, 115754488, 110056592, 112658496
 11450,  16,  16384,  47290,  22,  22,   0, 112674096, 112444048, 110043208, 112536856, 112546168
 11451,  16,  16384,  29537,  22,  23,   1, 112675992, 112562744, 104053472, 112593120, 113194856
 11452,  16,  16384,  48904,  23,  22,   1, 112037864, 111920808, 107398472, 112056352, 112578584
 11453,  16,  16384,  20019,  22,  22,   0, 111328808, 112622344, 112237496, 111061680, 106898344
 11454,  16,  16384,  47332,  22,  23,   1, 112964080, 112453464, 112480664, 112295640, 113164552
 11455,  16,  16384,  35056,  23,   3,   3, 112661224, 112658056, 113378664, 113337944, 111538096
 11456,  16,  16384,  42149,   3,   3,   0, 111421624, 111531520, 110341048, 105299808, 111578632
 11457,  16,  16384,  31479,   3,   4,   2, 109979040, 111265112, 110276624, 111299248, 113914024
 11458,  16,  16384,  28944,   4,  17,   3, 112738960, 113673384, 112669888, 113838544, 114927840
 11459,  16,  16384,  43589,  17,  16,   1, 115962280, 115844784, 114529056, 114438376, 115493704
 11460,  16,  16384,  14028,  16,  16,   0, 115902032, 114136872, 115357272, 110549680, 115538400
 11461,  16,  16384,  42000,  16,  16,   0, 115528776, 115014392, 114346832, 113946736, 115578416
 11462,  16,  16384,  20394,  16,  17,   1, 116000128, 115612768, 115415624, 114432016, 115986568
 11463,  16,  16384,  49255,  17,  16,   1, 116037360, 114744488, 115810568, 115900864, 114599600
 11464,  16,  16384,   4450,  16,  17,   1, 115685632, 115526760, 115388552, 115595424, 116004824
 11465,  16,  16384,  41885,  17,  13,   2, 115953688, 115595936, 115567856, 114574512, 114163472
 11466,  16,  16384,  26895,  13,  21,   3, 108205520, 112736576, 114032544, 114184320, 116012160
 11467,  16,  16384,  19913,  21,   6,   3, 116004992, 114738120, 116021840, 115719016, 110121792
 11468,  16,  16384,   2948,   6,  20,   3, 110103832, 110092360, 104153168, 108870528, 115692800
 11469,  16,  16384,  31184,  20,  21,   1, 115680936, 115115888, 113934288, 115105240, 116023464
 11470,  16,  16384,  33647,  21,  21,   0, 114934888, 115774208, 115986336, 110334544, 115168248
 11471,  16,  16384,  26572,  21,  19,   2, 115961272, 116081360, 115620176, 115825984, 113547784
 11472,  16,  16384,  32518,  19,  19,   0, 113421672, 113148168, 112915256, 111767672, 113213688
 11473,  16,  16384,   5951,  19,  10,   3, 113317920, 112886712, 107492960, 111942320, 109797304
 11474,  16,  16384,  48485,  10,  15,   3, 111053392, 110897344, 110780352, 110697032, 111687632
 11475,  16,  16384,  17710,  15,  15,   0, 111470768, 111471760, 111227696, 111355000, 109178704
 11476,  16,  16384,  29712,  15,  16,   2, 111598336, 110528056, 105387432, 111614760, 115643008
 11477,  16,  16384,  32404,  16,  16,   0, 115790976, 112974976, 113814096, 115537440, 114548232
 11478,  16,  16384,  28472,  16,  17,   1, 110937320, 114614952, 114743752, 115632360, 116126048
 11479,  16,  16384,   4152,  17,  12,   2, 114771776, 115838008, 115741808, 115676504, 112484040
 11480,  16,  16384,  14724,  12,   0,   3, 113953152, 113758272, 112840424, 113866720, 113646832
 11481,  16,  16384,  29830,   0,   1,   1, 113757136, 112305056, 113718400, 112345560, 114047552
 11482,  16,  16384,   5265,   1,   4,   2, 111440744, 109364048, 113939048, 113711784, 112635760
 11483,  16,  16384,   3680,   4,   2,   2, 113505536, 107423408, 113660320, 112790736, 109753728
 11484,  16,  16384,   1284,   2,  18,   3, 109277544, 105435672, 110877032, 110573856, 112488016
 11485,  16,  16384,  39331,  18,  21,   2, 112532920, 111299024, 106716968, 112153064, 116099368
 11486,  16,  16384,  48680,  21,  18,   2, 116149008, 115982728, 116149040, 115774288, 112734928
 11487,  16,  16384,  28562,  18,  19,   1, 112416064, 112417448, 111174592, 112293984, 113507512
 11488,  16,  16384,   3325,  19,  19,   0, 113444280, 113379776, 113111064, 113347984, 113497432
 11489,  16,  16384,  23667,  19,  14,   3, 113087472, 111887088, 113310976, 112069792, 111021768
 11490,  16,  16384,  35306,  14,  17,   2, 109936400, 110662560, 110930576, 110996976, 116111424
 11491,  16,  16384,  42505,  17,  16,   1, 116310640, 114556944, 113064432, 113978608, 115517520
 11492,  16,  16384,  16866,  16,  16,   0, 114345144, 108385304, 115136976, 115267016, 115311408
 11493,  16,  16384,  15384,  16,  16,   0, 114180200, 115305968, 115468768, 114022944, 115523136
 11494,  16,  16384,  48889,  16,  17,   1, 115751896, 115324880, 115432184, 113500256, 116464024
 11495,  16,  16384,  33142,  17,   0,   3, 115908168, 115820608, 115867352, 115707184, 113943240
 11496,  16,  16384,  15351,   0,   0,   0, 114021552, 113729992, 113515952, 113415768, 107849496
 11497,  16,  16384,  34067,   0,  18,   3, 113964280, 112652528, 113760272, 112471072, 112740680
 11498,  16,  16384,    131,  18,  19,   1, 112531160, 111204592, 112483800, 111304272, 109390960
 11499,  16,  16384,  28101,  19,  20,   2, 113302784, 113098736, 113086480, 113078136, 114353472
 11500,  16,  16384,  27445,  20,  20,   0, 115570864, 114926048, 108540264, 114905792, 115575392
 11501,  16,  16384,   7755,  20,  19,   2, 113994232, 115487608, 115402128, 114085120, 113260232
 11502,  16,  16384,  37397,  19,   1,   3, 113405944, 112065360, 112779280, 112532776, 114067024
 11503,  16,  16384,  37300,   1,   0,   1, 113732944, 112546712, 112982632, 112078160, 108041648
 11504,  16,  16384,  10104,   0,   1,   1, 113760176, 113968568, 112796616, 113197120, 107980584
 11505,  16,  16384,  20498,   1,  17,   3, 114100608, 113955560, 113853096, 112626840, 115013360
 11506,  16,  16384,  15008,  17,  17,   0, 116246952, 115926696, 115659936, 114464544, 116098424
 11507,  16,  16384,  21747,  17,  16,   1, 115902024, 113393920, 116098840, 116068504, 115454232
 11508,  16,  16384,  19934,  16,  17,   1, 115540160, 115178184, 109688144, 114565528, 114813736
 11509,  16,  16384,  19162,  17,  17,   0, 116097488, 115597464, 115833440, 113294624, 115861848
 11510,  16,  16384,  38920,  17,   1,   3, 116422952, 115941008, 115855816, 114425912, 114098608
 11511,  16,  16384,  25868,   1,   1,   0, 113980712, 113822544, 113705704, 114133880, 112743776
 11512,  16,  16384,   7777,   1,  10,   3, 106882032, 113964600, 113727752, 113958080, 109888264
 11513,  16,  16384,   1194,  10,  13,   3, 111102312, 110745576, 110709088, 106846032, 114458304
 11514,  16,  16384,  22597,  13,  12,   1, 114302256, 114016672, 107847000, 111611240, 113613512
 11515,  16,  16384,   8416,  12,  13,   1, 113777808, 113738760, 111063272, 111628064, 113052744
 11516,  16,  16384,   2342,  13,   0,   3, 114672064, 114197392, 114220048, 113970296, 113142576
 11517,  16,  16384,  20066,   0,   0,   0, 113346192, 113491128, 113528664, 113715392, 113871056
 11518,  16,  16384,  42968,   0,   0,   0, 105414376, 113292248, 113535424, 113731824, 113594464
 11519,  16,  16384,    924,   0,   1,   1, 112412912, 112945128, 113701840, 113352016, 114159424
 11520,  16,  16384,  46040,   1,   3,   2, 114382688, 113881184, 113929416, 112705408, 111214168
 11521,  16,  16384,  46964,   3,   7,   3, 108885608, 111507336, 111266736, 111229928, 111551832
 11522,  16,  16384,  35452,   7,   7,   0, 111397408, 111383008, 111240224, 111127216, 111543488
 11523,  16,  16384,  36118,   7,   7,   0, 104210320, 111391312, 109173168, 111196000, 111641808
 11524,  16,  16384,   3636,   7,   6,   1, 110309976, 111203536, 111380368, 111352592, 110169128
 11525,  16,  16384,   8954,   6,   6,   0, 110491392, 110220320, 110016904, 106328176, 110327976
 11526,  16,  16384,  45878,   6,   6,   0, 109327072, 108411752, 109910440, 110489584, 109685520
 11527,  16,  16384,  35471,   6,  11,   2, 109097872, 109802552, 109887912, 109921784, 109893128
 11528,  16,  16384,  33570,  11,  11,   0, 107643400, 110248312, 111625120, 111309064, 110460664
 11529,  16,  16384,   1157,  11,  21,   3, 111675336, 111528192, 111631640, 110821224, 114876072
 11530,  16,  16384,  15936,  21,  21,   0, 116473656, 115975904, 115213192, 113897352, 114734440
 11531,  16,  16384,  48942,  21,  21,   0, 114187512, 111620088, 115580576, 115829616, 115852792
 11532,  16,  16384,  23755,  21,  21,   0, 115918104, 114627360, 115943304, 115757856, 113467496
 11533,  16,  16384,   6779,  21,   5,   3, 116109568, 114572352, 115851424, 115795448, 114075392
 11534,  16,  16384,  46322,   5,   2,   2, 114231296, 114260000, 114067904, 109969976, 111012376
 11535,  16,  16384,  37372,   2,  10,   3, 109612800, 109576424, 110621576, 109543032, 104982040
 11536,  16,  16384,  25259,  10,   2,   3, 111045536, 110843080, 110973912, 110883616, 110749368
 11537,  16,  16384,   5765,   2,   5,   2, 110982856, 110863136, 110953456, 108342992, 113013360
 11538,  16,  16384,   4039,   5,   5,   0, 114046440, 112295328, 113178576, 113518656, 114110192
 11539,  16,  16384,   8709,   5,   0,   2, 113885504, 113911696, 108039336, 114095728, 113628112
 11540,  16,  16384,  21712,   0,   1,   1, 113869760, 113527832, 113440168, 113237736, 114034944
 11541,  16,  16384,   7601,   1,  19,   3, 112909376, 114045984, 113791736, 113979264, 113356224
 11542,  16,  16384,  15030,  19,  22,   2, 113391016, 113168880, 113010312, 113239384, 110667992
 11543,  16,  16384,  17323,  22,  23,   1, 112719296, 112541984, 111176704, 112264192, 112022472
 11544,  16,  16384,  22816,  23,  22,   1, 113493888, 113241944, 113237696, 113255392, 112409376
 11545,  16,  16384,    570,  22,  22,   0, 111346968, 111170640, 112298080, 112406360, 111484768
 11546,  16,  16384,  46922,  22,  20,   2, 112584488, 111383928, 112326544, 112466664, 115589120
 11547,  16,  16384,  42304,  20,  20,   0, 115343784, 115249024, 115716504, 115654176, 114372504
 11548,  16,  16384,  35142,  20,  17,   3, 115526928, 109563312, 114038840, 113950264, 115963040
 11549,  16,  16384,  45625,  17,  16,   1, 114724800, 114400504, 113404272, 115849176, 110849984
 11550,  16,  16384,  18194,  16,  12,   2, 114539072, 115758120, 115477672, 114194816, 114037752
 11551,  16,  16384,   3310,  12,  17,   2, 112430872, 113810240, 112731528, 113058016, 116224128
 11552,  16,  16384,  38452,  17,  13,   2, 116304408, 115845512, 110067784, 115972720, 114355800
 11553,  16,  16384,  24421,  13,  12,   1, 114340912, 113974320, 114168336, 114306008, 112333880
 11554,  16,  16384,   2932,  12,  12,   0, 113814152, 113556864, 113638544, 112677592, 112673600
 11555,  16,  16384,  41021,  12,  15,   2, 113803320, 113699048, 113141072, 106987216, 111578016
 11556,  16,  16384,  32477,  15,  16,   2, 104464032, 111527672, 110404200, 110244840, 115384184
 11557,  16,  16384,  25929,  16,  16,   0, 109776896, 114183976, 115332904, 115299968, 114053960
 11558,  16,  16384,  27534,  16,  12,   2, 114892288, 114328088, 115610728, 115398240, 113625896
 11559,  16,  16384,  34038,  12,   2,   3, 113724968, 113483160, 113718880, 111390616, 111022568
 11560,  16,  16384,  12475,   2,   3,   1, 111043288, 110982368, 104144728, 107354240, 111549952
 11561,  16,  16384,  16807,   3,  10,   3, 110381480, 111276752, 111521440, 111461048, 110941408
 11562,  16,  16384,  45822,  10,   5,   3, 111031800, 110749112, 110561920, 109668704, 113978256
 11563,  16,  16384,  27767,   5,   5,   0, 114250536, 114010312, 113853720, 112605240, 113120408
 11564,  16,  16384,  43169,   5,  18,   3, 113148584, 114130504, 114153896, 113853600, 110343472
 11565,  16,  16384,  22834,  18,  19,   1, 112294216, 106670648, 112401456, 112378720, 111853696
 11566,  16,  16384,     75,  19,  12,   3, 113335808, 107503088, 113539312, 113360776, 114123768
 11567,  16,  16384,  43434,  12,  12,   0, 105939728, 113682472, 112514400, 113738256, 113941968
 11568,  16,  16384,  12462,  12,   5,   3, 114035920, 113682528, 114060648, 112625720, 114157776
 11569,  16,  16384,  38741,   5,  16,   3, 114218328, 114095184, 114002528, 112988400, 114157696
 11570,  16,  16384,  10944,  16,  16,   0, 115486360, 115298904, 115410976, 115077496, 115590904
 11571,  16,  16384,   4609,  16,  14,   2, 114484384, 115404328, 111407160, 113202912, 110857944
 11572,  16,  16384,  47706,  14,   3,   3, 109787832, 110536472, 110621424, 110976536, 111637488
 11573,  16,  16384,  27149,   3,   2,   1, 110508504, 110109072, 110336984, 111366824, 109599328
 11574,  16,  16384,  11600,   2,   3,   1, 106076368, 110619384, 109492288, 110703208, 111635640
 11575,  16,  16384,  13806,   3,   2,   1, 111320992, 111110056, 111328656, 109800416, 110926936
 11576,  16,  16384,  25433,   2,   5,   2, 111089976, 110714664, 110741592, 104826784, 113925312
 11577,  16,  16384,  25359,   5,  10,   3, 114236888, 114082040, 113664408, 113107504, 109775712
 11578,  16,  16384,  29556,  10,  10,   0, 111140512, 111031024, 111005040, 110836392, 109821072
 11579,  16,  16384,  46415,  10,   6,   2, 111300488, 109648776, 110805376, 105046232, 109015264
 11580,  16,  16384,  25525,   6,  17,   3, 110057296, 104154792, 110050784, 110080424, 114976928
 11581,  16,  16384,   3351,  17,  17,   0, 114194568, 115714984, 115753048, 115839072, 116196768
 11582,  16,  16384,  13871,  17,  14,   2, 114888960, 114856096, 116183568, 116015992, 111137216
 11583,  16,  16384,  42374,  14,  15,   1, 111077568, 110801256, 110967360, 110811928, 111818096
 11584,  16,  16384,    562,  15,  12,   2, 112173992, 111509272, 111454064, 111493224, 112575880
 11585,  16,  16384,   5400,  12,   9,   3, 113747856, 113864456, 112054600, 107264032, 113132160
 11586,  16,  16384,  42115,   9,   9,   0, 114479000, 113982736, 114023928, 114207656, 113342752
 11587,  16,  16384,  44708,   9,  10,   2, 108860128, 113923176, 114139352, 114443272, 110824480
 11588,  16,  16384,  23052,  10,  11,   1, 110984632, 111004832, 109825776, 110811584, 111528112
 11589,  16,  16384,   4098,  11,  11,   0, 111480024, 110893800, 108560208, 111507424, 110860192
 11590,  16,  16384,  15617,  11,  10,   1, 111551008, 105567104, 111424136, 111531608, 109750984
 11591,  16,  16384,   6657,  10,  11,   1, 109898968, 111035000, 110885072, 109633280, 109876920
 11592,  16,  16384,  30968,  11,   6,   2, 110376480, 111546496, 110313992, 111323896, 110307336
 11593,  16,  16384,  48818,   6,   6,   0, 110202608, 110335040, 109088552, 110226144, 108844368
 11594,  16,  16384,  14741,   6,   6,   0, 109938744, 108848800, 104272016, 110281584, 108743712
 11595,  16,  16384,   5379,   6,   6,   0, 110190336, 109864936, 110092576, 110195912, 109142984
 11596,  16,  16384,  28246,   6,  14,   3, 110290360, 110283448, 110215144, 108970416, 110906976
 11597,  16,  16384,  32317,  14,  14,   0, 109474480, 108855552, 105870528, 110745504, 111083192
 11598,  16,  16384,  39502,  14,  15,   1, 110897112, 110906392, 110056384, 110685648, 109664728
 11599,  16,  16384,  37009,  15,  15,   0, 110534232, 111562064, 105509184, 111393072, 111497920
 11600,  16,  16384,   4543,  15,  20,   3, 111605632, 111465240, 111906456, 111648512, 114206928
 11601,  16,  16384,  18426,  20,  21,   1, 115479728, 115268224, 114263024, 114147448, 116059536
 11602,  16,  16384,   7443,  21,  20,   1, 116157120, 115854760, 115883584, 114586968, 114180168
 11603,  16,  16384,  41918,  20,  16,   3, 115729776, 114090432, 115521992, 115344760, 114129696
 11604,  16,  16384,  42292,  16,  17,   1, 113979728, 115264304, 115192200, 115020256, 115992688
 11605,  16,  16384,  35897,  17,  11,   3, 110275344, 114356256, 115898576, 115538256, 111833376
 11606,  16,  16384,   2503,  11,   7,   2, 112070792, 111371544, 111557888, 111623872, 111494896
 11607,  16,  16384,  49073,   7,   7,   0, 110090480, 111499536, 111810536, 111440088, 111583816
 11608,  16,  16384,   1714,   7,  10,   2, 103382272, 110177952, 111383728, 111260968, 111220872
 11609,  16,  16384,  12235,  10,   9,   2, 111093912, 110976872, 110747448, 103623224, 110951376
 11610,  16,  16384,  31835,   9,   8,   1, 110309936, 113978704, 114142944, 113870912, 113662904
 11611,  16,  16384,  16048,   8,  23,   3, 114037488, 113743680, 113652056, 113576224, 113399544
 11612,  16,  16384,  28427,  23,  18,   2, 113599984, 113317592, 113001056, 111958936, 111564536
 11613,  16,  16384,  37550,  18,  22,   2, 113083792, 112341568, 112286888, 112567096, 112704648
 11614,  16,  16384,  13752,  22,  20,   2, 111617168, 112622824, 112670264, 112131568, 115757264
 11615,  16,  16384,  24772,  20,  21,   1, 115513248, 114223456, 115293840, 115498752, 115828224
 11616,  16,  16384,   7427,  21,  14,   3, 114983648, 115970440, 116004136, 115865408, 110947456
 11617,  16,  16384,   6208,  14,  17,   2, 110828440, 110246160, 109598088, 109829064, 110178392
 11618,  16,  16384,  20108,  17,  19,   3, 116018152, 114271720, 115654888, 114794648, 113157304
 11619,  16,  16384,  45455,  19,  18,   1, 113674648, 112655896, 111248224, 113405960, 111646256
 11620,  16,  16384,   1212,  18,  18,   0, 112567816, 112214752, 112259712, 111201208, 112576320
 11621,  16,  16384,  15956,  18,  18,   0, 112941112, 112396792, 112408160, 112103632, 111465968
 11622,  16,  16384,  14946,  18,  19,   1, 111627504, 112438696, 109606088, 108579416, 113175184
 11623,  16,  16384,  45042,  19,  19,   0, 106400256, 113380376, 113228768, 113061984, 112115264
 11624,  16,  16384,  31565,  19,  18,   1, 111755344, 113339960, 113389704, 113246312, 112563096
 11625,  16,  16384,  48912,  18,  18,   0, 112598736, 111053824, 112358656, 112402928, 112706456
 11626,  16,  16384,  29790,  18,  18,   0, 112631648, 111117512, 112565112, 111308944, 111525744
 11627,  16,  16384,   6354,  18,  18,   0, 112299680, 106490640, 112303168, 111181312, 112623744
 11628,  16,  16384,  21890,  18,  21,   2, 112637840, 112429560, 112299376, 112477184, 116256568
 11629,  16,  16384,  46852,  21,  19,   2, 115825104, 115746048, 114470592, 114802072, 107798296
 11630,  16,  16384,  13755,  19,  19,   0, 113482416, 113170056, 111951632, 112039168, 113513080
 11631,  16,  16384,  49195,  19,  19,   0, 113530536, 113391928, 113352144, 111819080, 111878144
 11632,  16,  16384,   2126,  19,  19,   0, 113190544, 113103336, 113070096, 106433216, 113549640
 11633,  16,  16384,  32162,  19,  19,   0, 112020208, 113185176, 113332240, 113219520, 113496576
 11634,  16,  16384,  17738,  19,  12,   3, 111982408, 112210936, 113312976, 113501336, 113558120
 11635,  16,  16384,   1397,  12,  15,   2, 112793360, 113766920, 110910696, 113746160, 111822592
 11636,  16,  16384,  35033,  15,   2,   3, 111676304, 110456768, 110380696, 111489200, 111054720
 11637,  16,  16384,  46428,   2,   2,   0, 110901016, 110921880, 110680448, 109682072, 103951544
 11638,  16,  16384,  18790,   2,   2,   0, 110459200, 110932752, 110906576, 111032392, 109613488
 11639,  16,  16384,  15774,   2,   3,   1, 110761480, 110467400, 110795416, 110774088, 110197944
 11640,  16,  16384,  34428,   3,   1,   2, 111471128, 111439792, 111349680, 111429872, 112932832
 11641,  16,  16384,  24663,   1,   1,   0, 114040208, 113949760, 113688816, 114016960, 112768200
 11642,  16,  16384,  13006,   1,   0,   1, 112900440, 113897016, 112872704, 113907016, 113599464
 11643,  16,  16384,  11155,   0,   1,   1, 113731560, 113626512, 112578104, 113604784, 113990184
 11644,  16,  16384,  25395,   1,   5,   2, 113890608, 112982688, 112919176, 114119992, 112765152
 11645,  16,  16384,  16034,   5,   0,   2, 107956192, 114109704, 112900352, 113589448, 113657576
 11646,  16,  16384,  46566,   0,   0,   0, 113939952, 113371080, 112503368, 113672424, 113794360
 11647,  16,  16384,  13541,   0,   0,   0, 112610208, 113250784, 113467056, 113368928, 113774344
 11648,  16,  16384,   7385,   0,   0,   0, 112664272, 113948800, 113723736, 113779328, 112575776
 11649,  16,  16384,  17635,   0,   0,   0, 113454280, 112996824, 107525288, 113348192, 114022400
 11650,  16,  16384,  41991,   0,  21,   3, 113668248, 113547200, 112101984, 113406664, 115900536
 11651,  16,  16384,  11140,  21,  21,   0, 113315176, 116034424, 115792240, 115860112, 114765720
 11652,  16,  16384,  30725,  21,  22,   2, 110163664, 114528768, 115806600, 115855832, 112682528
 11653,  16,  16384,  28036,  22,  22,   0, 111312088, 112628472, 112587016, 112027888, 112485792
 11654,  16,  16384,   7630,  22,  15,   3, 106733520, 111296096, 112205520, 111140936, 111906616
 11655,  16,  16384,   9497,  15,  20,   3, 111387624, 111509880, 111628752, 111493600, 115464400
 11656,  16,  16384,  23039,  20,   0,   3, 114617776, 115482904, 114030960, 115520472, 111407784
 11657,  16,  16384,  30297,   0,   0,   0, 113653768, 113695408, 112525912, 113645168, 113779376
 11658,  16,  16384,   4362,   0,   1,   1, 113815136, 113494016, 112604216, 113687568, 113909632
 11659,  16,  16384,   2511,   1,   4,   2, 112757432, 112738600, 114072984, 113751056, 112660392
 11660,  16,  16384,  21268,   4,   5,   1, 114119744, 113788040, 113431408, 113434056, 114265936
 11661,  16,  16384,  40934,   5,   5,   0, 113765384, 114176256, 114171152, 111630624, 110151072
 11662,  16,  16384,  36749,   5,   3,   2, 112560536, 113881888, 113994320, 114106792, 105688960
 11663,  16,  16384,  46097,   3,  10,   3, 111269384, 111034416, 111105728, 110312792, 110949592
 11664,  16,  16384,  23248,  10,   6,   2, 111024032, 104650456, 110918408, 110771536, 110500936
 11665,  16,  16384,  24354,   6,  10,   2, 110158400, 110330280, 110200792, 107711128, 110088272
 11666,  16,  16384,  21559,  10,   8,   2, 109620896, 110846120, 110897664, 110220600, 113716056
 11667,  16,  16384,   1143,   8,  20,   3, 113842352, 113542120, 113412208, 107627152, 115491136
 11668,  16,  16384,  43691,  20,  17,   3, 114230880, 115228440, 115338624, 115104696, 114536512
 11669,  16,  16384,   9062,  17,  17,   0, 116390184, 115900872, 114524824, 115846432, 110431840
 11670,  16,  16384,  27874,  17,  16,   1, 115845712, 115684456, 115821736, 115928360, 115815920
 11671,  16,  16384,  32111,  16,  15,   2, 115326800, 115053720, 114204240, 115431384, 111914176
 11672,  16,  16384,  26405,  15,  10,   3, 110770688, 111125528, 105385352, 111455072, 111331440
 11673,  16,  16384,  30952,  10,   9,   2, 111051312, 105309976, 110330768, 110682784, 113973584
 11674,  16,  16384,  31447,   9,   7,   2, 108364112, 114337152, 113845680, 112622480, 111469296
 11675,  16,  16384,  30466,   7,  10,   2, 110260240, 111517696, 111451864, 111200040, 110855760
 11676,  16,  16384,  29934,  10,  10,   0, 111037088, 110798752, 110851656, 110780544, 110735080
 11677,  16,  16384,  41852,  10,  10,   0, 107566792, 110781352, 109690208, 110830464, 105762528
 11678,  16,  16384,  38833,  10,   9,   2, 110564800, 111037896, 110905648, 110810960, 114143016
 11679,  16,  16384,  38332,   9,   9,   0, 114364520, 112989072, 113957152, 112979728, 112750240
 11680,  16,  16384,  27252,   9,  10,   2, 113488768, 114146728, 114083704, 114111544, 110852168
 11681,  16,  16384,  21800,  10,  11,   1, 110963832, 111001784, 109796376, 108909184, 111983072
 11682,  16,  16384,  14329,  11,   6,   2, 111533680, 111648360, 105301656, 111407864, 109966384
 11683,  16,  16384,   6406,   6,   7,   1, 110456256, 110114056, 110061320, 110058504, 111616696
 11684,  16,  16384,  48258,   7,   9,   2, 111724944, 110032912, 110395112, 111294760, 114284408
 11685,  16,  16384,  10177,   9,  20,   3, 114275128, 114093416, 114087024, 112466408, 114359712
 11686,  16,  16384,  31978,  20,  21,   1, 115968736, 115423912, 115623928, 115392888, 114821336
 11687,  16,  16384,  21072,  21,   3,   3, 116127808, 115787128, 115946960, 115717720, 111371632
 11688,  16,  16384,  27478,   3,   2,   1, 111485720, 111644744, 111249856, 111539592, 111021384
 11689,  16,  16384,  10928,   2,   3,   1, 103976328, 109871376, 110750768, 110830464, 111502056
 11690,  16,  16384,  44922,   3,   2,   1, 111634040, 110090040, 111448560, 111234144, 109564336
 11691,  16,  16384,  48673,   2,   2,   0, 110848016, 110699672, 108329320, 104788320, 110774328
 11692,  16,  16384,  11684,   2,   0,   2, 111210584, 110468224, 110694416, 110640520, 113830656
 11693,  16,  16384,  40508,   0,   0,   0, 113847456, 113695808, 112067048, 113350904, 107800496
 11694,  16,  16384,   7854,   0,   0,   0, 114003512, 113598576, 112400136, 112660696, 113999936
 11695,  16,  16384,  27335,   0,   0,   0, 112494888, 113620920, 113832600, 113595864, 112280896
 11696,  16,  16384,  43630,   0,   1,   1, 113796352, 113893800, 113822648, 107557648, 112861040
 11697,  16,  16384,  30404,   1,   0,   1, 114175984, 114081856, 113981416, 113614440, 113773088
 11698,  16,  16384,  28672,   0,   0,   0, 112834512, 113123856, 113388552, 113656488, 107898160
 11699,  16,  16384,  13425,   0,  18,   3, 112551432, 112361288, 113631776, 113555560, 106911776
 11700,  16,  16384,   3429,  18,  19,   1, 111328920, 110066672, 111246040, 112610976, 113409304
 11701,  16,  16384,  29599,  19,  21,   2, 113340640, 113367112, 113176872, 107369344, 116236896
 11702,  16,  16384,  16800,  21,  23,   2, 115891512, 115990000, 115923368, 114662296, 113415960
 11703,  16,  16384,  27709,  23,  22,   1, 113247672, 113179920, 107678800, 113273496, 112808640
 11704,  16,  16384,  17504,  22,  22,   0, 112873720, 112559104, 112582400, 111201712, 111375672
 11705,  16,  16384,  23725,  22,  20,   2, 110275440, 112466080, 106765080, 112086816, 115042944
 11706,  16,  16384,  39771,  20,  21,   1, 112834640, 115112984, 115430144, 115345576, 115882632
 11707,  16,  16384,  48982,  21,   9,   3, 114634936, 115820720, 115707184, 115778008, 114087984
 11708,  16,  16384,  26693,   9,  14,   3, 114389872, 108029544, 114347992, 114174264, 110882264
 11709,  16,  16384,  48066,  14,  11,   3, 104956016, 110689448, 108343288, 110758560, 111583032
 11710,  16,  16384,  27542,  11,  23,   3, 110746992, 111546432, 111731400, 111808800, 112004272
 11711,  16,  16384,  28317,  23,  21,   2, 113449832, 111817248, 111892704, 113160416, 115846880
 11712,  16,  16384,  23251,  21,  21,   0, 114778056, 113716952, 112242864, 116022600, 114817064
 11713,  16,  16384,  15109,  21,  11,   3, 116130328, 115700784, 114474368, 115817640, 111759968
 11714,  16,  16384,  33881,  11,  11,   0, 111468888, 111531648, 111429464, 110258208, 111600768
 11715,  16,  16384,   2002,  11,   9,   2, 111675848, 111481400, 110427456, 110352576, 114074080
 11716,  16,  16384,  34382,   9,   9,   0, 113186688, 112847488, 114043680, 113801216, 113051384
 11717,  16,  16384,  34133,   9,   7,   2, 114349616, 112751736, 114022432, 114165120, 105373496
 11718,  16,  16384,    567,   7,   7,   0, 110535408, 111279104, 110691392, 111568904, 111949728
 11719,  16,  16384,  41279,   7,   8,   2, 111635008, 111433368, 110286912, 110151816, 113729480
 11720,  16,  16384,  41218,   8,  11,   2, 113615080, 113559320, 112748184, 112533160, 111599024
 11721,  16,  16384,   4958,  11,   7,   2, 111443608, 111198888, 111309560, 109815992, 110853736
 11722,  16,  16384,   9237,   7,   3,   3, 110944928, 111297672, 111206592, 111542016, 111181496
 11723,  16,  16384,  37408,   3,  14,   3, 111555976, 110429432, 111325032, 111421120, 111181048
 11724,  16,  16384,  42367,  14,  16,   2, 110761176, 109892576, 109502512, 105902000, 114573704
 11725,  16,  16384,  10939,  16,  16,   0, 115402696, 115209872, 115448936, 115300824, 115997128
 11726,  16,  16384,   9004,  16,  17,   1, 115736720, 114362368, 114276784, 115216536, 116336272
 11727,  16,  16384,   4352,  17,  16,   1, 116116072, 115589760, 114691488, 115933048, 115722688
 11728,  16,  16384,  25640,  16,  17,   1, 115453376, 115374256, 115346320, 115529928, 115631104
 11729,  16,  16384,  21673,  17,   5,   3, 113902304, 115703784, 115969344, 115865112, 114257392
 11730,  16,  16384,  36701,   5,   3,   2, 114103104, 114223824, 112768464, 106314304, 111466936
 11731,  16,  16384,  30671,   3,  11,   3, 110265200, 109787816, 111386072, 105416400, 111702416
 11732,  16,  16384,  20726,  11,   9,   2, 108658008, 108211848, 111408008, 111552160, 112137680
 11733,  16,  16384,   5958,   9,  11,   2, 114331032, 112623048, 113958656, 113993776, 110627616
 11734,  16,  16384,   5021,  11,  11,   0, 111784536, 111777312, 111461536, 105810320, 111766176
 11735,  16,  16384,    225,  11,  10,   1, 111559744, 111694472, 111468784, 111089512, 110978432
 11736,  16,  16384,  20787,  10,  11,   1, 111230904, 109645736, 111048904, 109719000, 111761008
 11737,  16,  16384,   7788,  11,  23,   3, 111526760, 105524248, 111467440, 111347832, 113486800
 11738,  16,  16384,  12342,  23,  22,   1, 113411936, 112993560, 111839256, 113223080, 109959296
 11739,  16,  16384,   5337,  22,  22,   0, 112671888, 112491352, 112421936, 106591464, 112593528
 11740,  16,  16384,  46268,  22,  21,   2, 111188672, 112402544, 112488864, 112453376, 115872776
 11741,  16,  16384,  45276,  21,  21,   0, 114576080, 115650184, 115566856, 114450720, 116137552
 11742,  16,  16384,  16288,  21,  21,   0, 114764360, 114705912, 115816496, 116144208, 116155216
 11743,  16,  16384,   8704,  21,  22,   2, 110187904, 114208376, 115713752, 115758672, 112466872
 11744,  16,  16384,  29884,  22,  22,   0, 112853016, 109804560, 106464248, 112303176, 112392336
 11745,  16,  16384,  43203,  22,  18,   2, 112466056, 112706600, 110914232, 112333496, 111748032
 11746,  16,  16384,  11944,  18,  19,   1, 112743024, 106302528, 112423384, 111205464, 113347592
 11747,  16,  16384,  21016,  19,  19,   0, 112084520, 113480824, 113467216, 111377808, 113521976
 11748,  16,  16384,  16805,  19,  22,   2, 113515104, 113327032, 113321560, 112080976, 111608280
 11749,  16,  16384,   5497,  22,  22,   0, 112788224, 112461616, 112157776, 112226520, 112322576
 11750,  16,  16384,  29590,  22,  19,   2, 111708944, 106494360, 111378088, 112444840, 112068288
 11751,  16,  16384,  47598,  19,  18,   1, 113804824, 107469048, 113219632, 112964336, 112550944
 11752,  16,  16384,  41727,  18,  21,   2, 112632208, 112526120, 111199488, 111011544, 114660456
 11753,  16,  16384,  33839,  21,  11,   3, 115860760, 115538904, 113269064, 116054680, 110552088
 11754,  16,  16384,   2450,  11,  10,   1, 111853864, 110574904, 111478088, 111710616, 110790240
 11755,  16,  16384,  31816,  10,   9,   2, 109860912, 109758064, 110910672, 109953320, 114194016
 11756,  16,  16384,  46824,   9,   8,   1, 114326904, 114150232, 114177824, 113974568, 113580792
 11757,  16,  16384,   6477,   8,  20,   3, 112685464, 113886640, 113794912, 113623000, 115420376
 11758,  16,  16384,  42860,  20,  18,   2, 110121320, 113166528, 115462312, 115568056, 111455744
 11759,  16,  16384,  37480,  18,  19,   1, 112432552, 112624528, 112200944, 104257192, 113505408
 11760,  16,  16384,  22310,  19,  19,   0, 113258568, 107512800, 111838112, 113085488, 112345384
 11761,  16,  16384,  27125,  19,  20,   2, 113525448, 113368432, 113217832, 113327168, 114438568
 11762,  16,  16384,   2476,  20,  21,   1, 115513824, 115115072, 115486968, 114558920, 114527000
 11763,  16,  16384,   8801,  21,  21,   0, 116237888, 115679624, 115231856, 115891192, 114611744
 11764,  16,  16384,  38037,  21,   4,   3, 116107784, 110215776, 115678424, 114493688, 113807240
 11765,  16,  16384,   3609,   4,   7,   3, 112889520, 112784144, 113747184, 113523616, 111458840
 11766,  16,  16384,  36841,   7,  15,   3, 110205848, 111250760, 111466776, 109277800, 111587800
 11767,  16,  16384,  17630,  15,   0,   3, 111429384, 110366896, 110638576, 111255192, 113449312
 11768,  16,  16384,   2688,   0,   1,   1, 113843784, 113625976, 106489568, 113851520, 112753960
 11769,  16,  16384,  14518,   1,   0,   1, 112994184, 114050024, 107843376, 113817944, 113680616
 11770,  16,  16384,  18542,   0,  11,   3, 112568872, 113693288, 113650640, 113838824, 109257792
 11771,  16,  16384,   9541,  11,   1,   3, 111492360, 111517648, 111405800, 111741680, 107825512
 11772,  16,  16384,  46674,   1,   7,   3, 113992712, 112888840, 113985112, 113923408, 111380168
 11773,  16,  16384,  40504,   7,   6,   1, 111488368, 110185440, 111467240, 111353824, 110146312
 11774,  16,  16384,  23707,   6,   6,   0, 110459864, 110053472, 110437032, 108802504, 110284272
 11775,  16,  16384,  18956,   6,   2,   3, 110283944, 110124152, 109697056, 106668560, 111042304
 11776,  16,  16384,  33474,   2,   2,   0, 111347656, 110912312, 105875568, 109874264, 111062880
 11777,  16,  16384,  48085,   2,  20,   3, 109509536, 110625600, 110595232, 110637760, 115476920
 11778,  16,  16384,  26787,  20,  20,   0, 114366800, 115380352, 115164944, 115081632, 115890720
 11779,  16,  16384,  10015,  20,  21,   1, 115642464, 114143704, 109772376, 115356632, 114166368
 11780,  16,  16384,   9933,  21,  19,   2, 116136000, 116040992, 115678416, 115993336, 113435680
 11781,  16,  16384,  19834,  19,   6,   3, 110863832, 108453800, 111885592, 113382928, 110230848
 11782,  16,  16384,  32182,   6,   7,   1, 104716528, 110356152, 109116168, 107656344, 111468776
 11783,  16,  16384,  16257,   7,   6,   1, 105247776, 109882080, 109266672, 111553984, 109644120
 11784,  16,  16384,  13597,   6,   9,   2, 109788672, 110134320, 108704064, 106071960, 114167440
 11785,  16,  16384,   9274,   9,  21,   3, 114147152, 114211160, 113124448, 113003336, 115712304
 11786,  16,  16384,  43765,  21,  21,   0, 115668032, 115778368, 115905056, 115480952, 111962952
 11787,  16,  16384,   2454,  21,  22,   2, 116162288, 115854968, 116041544, 115707848, 112489736
 11788,  16,  16384,  18766,  22,  16,   3, 112876040, 112392792, 112340496, 112351952, 109818088
 11789,  16,  16384,   8109,  16,  17,   1, 115760072, 115324424, 114110760, 114188016, 115876144
 11790,  16,  16384,  28951,  17,  17,   0, 115902296, 114853408, 115767560, 110134800, 115917712
 11791,  16,  16384,  13472,  17,  17,   0, 116019728, 115808352, 115620160, 112957856, 116185440
 11792,  16,  16384,  33499,  17,  17,   0, 116208464, 115856856, 115680648, 114769064, 115813216
 11793,  16,  16384,  24836,  17,  13,   2, 115889544, 109857656, 115984824, 115610904, 114034872
 11794,  16,  16384,  19821,  13,  19,   3, 106894856, 112876072, 113987640, 114045712, 113303768
 11795,  16,  16384,  12407,  19,  23,   2, 113422384, 107606608, 113121632, 113159840, 113152232
 11796,  16,  16384,  38124,  23,  18,   2, 113201752, 113219360, 112153872, 113172976, 112383776
 11797,  16,  16384,  19335,  18,  22,   2, 112414720, 106443880, 112521584, 112356928, 112440632
 11798,  16,  16384,  28392,  22,  22,   0, 111373984, 110101240, 112353504, 111250984, 112658560
 11799,  16,  16384,  25184,  22,  19,   2, 112740904, 112384824, 112409352, 112366648, 113483248
 11800,  16,  16384,  17611,  19,  21,   2, 113473720, 113573680, 113329752, 113085352, 114351032
 11801,  16,  16384,  25541,  21,  20,   1, 115879112, 112493872, 113614120, 114409024, 115663016
 11802,  16,  16384,   2103,  20,  21,   1, 114172672, 115332360, 115434456, 115363136, 116118456
 11803,  16,  16384,  13490,  21,  20,   1, 114802784, 114489808, 115689816, 115730016, 112367872
 11804,  16,  16384,  31814,  20,   2,   3, 115697008, 115383920, 114033744, 114905152, 109485952
 11805,  16,  16384,  15621,   2,   0,   2, 109757000, 110692808, 104838064, 110563264, 113550552
 11806,  16,  16384,  29112,   0,   0,   0, 113846152, 111427304, 113874288, 113890416, 113654880
 11807,  16,  16384,   2821,   0,   1,   1, 112619736, 113733912, 113698016, 113887256, 112975920
 11808,  16,  16384,   7313,   1,   0,   1, 114324392, 113961240, 114163168, 106095536, 113473656
 11809,  16,  16384,  37268,   0,   0,   0, 114032936, 113772720, 113608416, 112415120, 114015952
 11810,  16,  16384,   7579,   0,   2,   2, 113654080, 112316736, 107384632, 113585520, 110923536
 11811,  16,  16384,  24005,   2,  10,   3, 110888552, 110731208, 110613840, 109531032, 105004976
 11812,  16,  16384,   7174,  10,   0,   3, 110672952, 110604624, 109691304, 110769240, 109176568
 11813,  16,  16384,   7483,   0,   8,   3, 112649368, 113646312, 112443288, 113535064, 112633384
 11814,  16,  16384,   9536,   8,   9,   1, 113875568, 113826840, 113739112, 112633992, 114365664
 11815,  16,  16384,  45069,   9,  16,   3, 114300256, 114089920, 114227464, 111780128, 114326728
 11816,  16,  16384,  42143,  16,   3,   3, 114251264, 114243760, 115544064, 115713208, 110133016
 11817,  16,  16384,  42538,   3,   3,   0, 102824584, 110305544, 111652360, 111479360, 111375360
 11818,  16,  16384,  20802,   3,   2,   1, 111398792, 111179776, 111468048, 111240848, 110744792
 11819,  16,  16384,  29327,   2,   0,   2, 107191608, 106918168, 110625592, 109506128, 107702768
 11820,  16,  16384,  25543,   0,   2,   2, 113788848, 113688600, 111403512, 113788464, 110037760
 11821,  16,  16384,  17986,   2,   6,   3, 110801168, 111003216, 109417344, 104821888, 108914848
 11822,  16,  16384,  10522,   6,  16,   3, 110273712, 108582872, 104294464, 110274672, 114280168
 11823,  16,  16384,  25018,  16,   3,   3, 115638816, 115561952, 115524096, 115702776, 103355328
 11824,  16,  16384,  12146,   3,   1,   2, 109189488, 110134232, 111001872, 111729416, 111998520
 11825,  16,  16384,  21290,   1,  19,   3, 112834224, 114192816, 114035112, 114240608, 112196160
 11826,  16,  16384,  46541,  19,  20,   2, 113519240, 110740584, 106224496, 113318168, 115567488
 11827,  16,  16384,  16717,  20,  22,   2, 114204952, 110213032, 111450680, 115296424, 112822704
 11828,  16,  16384,  13917,  22,  23,   1, 112719968, 111098480, 112571904, 112389488, 113203664
 11829,  16,  16384,  35207,  23,  22,   1, 113571328, 113314296, 113173304, 113281208, 111001424
 11830,  16,  16384,   8610,  22,  22,   0, 112579888, 112511536, 112432792, 111424800, 112789376
 11831,  16,  16384,  37415,  22,   2,   3, 112695160, 112242616, 106680472, 112315616, 109603104
 11832,  16,  16384,  48629,   2,  22,   3, 110730096, 109589560, 110854720, 110663744, 111356520
 11833,  16,  16384,  15345,  22,  23,   1, 112507440, 112444824, 112406472, 112505160, 113410416
 11834,  16,  16384,  38209,  23,  22,   1, 113518088, 113137776, 107237256, 112448872, 111177656
 11835,  16,  16384,  41681,  22,  23,   1, 111770264, 112145984, 112778464, 112589792, 113131392
 11836,  16,  16384,  22539,  23,   4,   3, 113374832, 113327464, 113060040, 113357528, 114011576
 11837,  16,  16384,  48736,   4,   5,   1, 114015464, 113659464, 107714536, 113949824, 113933656
 11838,  16,  16384,  12068,   5,   1,   2, 113029240, 113019024, 113931632, 107951800, 113501824
 11839,  16,  16384,   1676,   1,   1,   0, 113786312, 113875064, 112631968, 113786904, 113979360
 11840,  16,  16384,  23549,   1,   0,   1, 114052312, 114298456, 113822688, 113107472, 112809352
 11841,  16,  16384,  43567,   0,   0,   0, 112639320, 112273680, 110969032, 110013808, 113578664
 11842,  16,  16384,   2744,   0,   0,   0, 113913168, 113578472, 113783720, 113364248, 113484560
 11843,  16,  16384,  26991,   0,   1,   1, 113664928, 111245248, 113378936, 111141288, 113882552
 11844,  16,  16384,   9618,   1,   2,   2, 114055664, 112627360, 114075840, 114014216, 109826296
 11845,  16,  16384,  20897,   2,  11,   3, 110247144, 103874664, 110678816, 109613992, 110542968
 11846,  16,  16384,  35953,  11,  10,   1, 111764016, 110418928, 105401416, 111382136, 110871616
 11847,  16,  16384,   1389,  10,   7,   2, 109763248, 109735576, 110806128, 108622640, 111442568
 11848,  16,  16384,   5207,   7,   9,   2, 105484416, 111179528, 110357280, 111454664, 114306056
 11849,  16,  16384,  43560,   9,   8,   1, 114236736, 113265784, 114010328, 113976032, 113766592
 11850,  16,  16384,  36672,   8,  18,   3, 107803072, 113557280, 113589328, 113389400, 112489920
 11851,  16,  16384,  15695,  18,   5,   3, 112718304, 112372168, 112701960, 110075536, 113948424
 11852,  16,  16384,  17085,   5,   1,   2, 114139120, 114022512, 112664656, 114016544, 114529200
 11853,  16,  16384,  31451,   1,   5,   2, 113196528, 112403200, 114085552, 113849560, 106479912
 11854,  16,  16384,   8195,   5,  14,   3, 114090616, 114082584, 113988776, 113991760, 111446576
 11855,  16,  16384,  28331,  14,  14,   0, 111042664, 110952824, 109644432, 110959824, 110876288
 11856,  16,  16384,  44387,  14,  15,   1, 110783192, 104002632, 110673792, 110928904, 110440096
 11857,  16,  16384,  16412,  15,  14,   1, 111535736, 111670112, 110337248, 111296072, 110340640
 11858,  16,  16384,  16355,  14,  12,   2, 111174912, 110819376, 110911072, 102337136, 114055600
 11859,  16,  16384,  22079,  12,  12,   0, 113594432, 113401528, 113715304, 113549312, 113783736
 11860,  16,  16384,   2519,  12,   5,   3, 111452696, 112746512, 107671176, 113768848, 108106616
 11861,  16,  16384,  39760,   5,   4,   1, 112874768, 113741504, 113791680, 114120456, 113627152
 11862,  16,  16384,  36744,   4,  22,   3, 114299152, 113909160, 113203272, 111644624, 112680952
 11863,  16,  16384,  27266,  22,  22,   0, 111069472, 111220984, 111160576, 112493224, 112558600
 11864,  16,  16384,  10491,  22,   5,   3, 111564704, 112493744, 112179832, 112522168, 114403744
 11865,  16,  16384,  40673,   5,   4,   1, 113109480, 113770608, 107469760, 113805352, 114099560
 11866,  16,  16384,  17189,   4,   4,   0, 113700568, 113778048, 113638400, 113803816, 113964248
 11867,  16,  16384,  19622,   4,  18,   3, 113932872, 110581360, 113458888, 113650728, 112443712
 11868,  16,  16384,  39790,  18,  18,   0, 111287144, 112535928, 112307560, 111362752, 112463848
 11869,  16,  16384,  13682,  18,  18,   0, 112608184, 112526128, 112521784, 112700088, 111412144
 11870,  16,  16384,  43652,  18,  18,   0, 112559160, 105144184, 111304872, 112368944, 111591576
 11871,  16,  16384,  35162,  18,  23,   2, 112373352, 112589832, 112397304, 112544040, 113461064
 11872,  16,  16384,   3764,  23,   7,   3, 113576704, 111783440, 113174704, 113215344, 111576672
 11873,  16,  16384,  25855,   7,   7,   0, 111381720, 110866128, 110839440, 110336216, 111746544
 11874,  16,  16384,  26736,   7,   6,   1, 110383784, 110117136, 111435920, 111531080, 108643824
 11875,  16,  16384,  13381,   6,   7,   1, 110271840, 108785768, 108950448, 109831880, 111248880
 11876,  16,  16384,  19283,   7,   7,   0, 110379496, 111281496, 110160832, 110220816, 111671776
 11877,  16,  16384,  31439,   7,   7,   0, 111392608, 105190296, 111252984, 111211552, 111251448
 11878,  16,  16384,  14701,   7,   8,   2, 111863680, 110113584, 110115504, 111329528, 110953272
 11879,  16,  16384,   2326,   8,  19,   3, 113365176, 114050448, 106314080, 113451328, 113506744
 11880,  16,  16384,  15177,  19,  19,   0, 113528224, 113244824, 113360256, 111998576, 107909216
 11881,  16,  16384,   4331,  19,  19,   0, 113421696, 111738696, 111947016, 113499704, 113191720
 11882,  16,  16384,  30207,  19,  19,   0, 113433656, 111903856, 113170968, 113158544, 113404768
 11883,  16,  16384,  33620,  19,  19,   0, 112287864, 113215832, 113398192, 107513064, 111950528
 11884,  16,  16384,  16910,  19,  18,   1, 113467752, 113349792, 113284032, 111763216, 111539152
 11885,  16,  16384,  43712,  18,  23,   2, 112612008, 112555760, 112204472, 112426496, 112944304
 11886,  16,  16384,  12240,  23,  19,   2, 111005384, 113345440, 113419224, 112998104, 106499824
 11887,  16,  16384,   3078,  19,   3,   3, 113302392, 113365184, 113081560, 112273472, 111301256
 11888,  16,  16384,   5924,   3,   4,   2, 111371304, 111457920, 110607368, 109867728, 112899584
 11889,  16,  16384,  14272,   4,  18,   3, 113622032, 113647344, 113666760, 114090000, 112737696
 11890,  16,  16384,  25328,  18,  23,   2, 112619712, 112487672, 111081656, 112511872, 111630712
 11891,  16,  16384,  49919,  23,  23,   0, 112653824, 112970064, 107257512, 113500336, 113384416
 11892,  16,  16384,  23918,  23,  12,   3, 113539832, 113040232, 110212904, 113116544, 112775144
 11893,  16,  16384,  31004,  12,   7,   3, 112782824, 112809016, 107589512, 113416560, 110696864
 11894,  16,  16384,  24715,   7,   6,   1, 111808256, 111850536, 111473896, 111653968, 110511520
 11895,  16,  16384,  36956,   6,   6,   0, 109923448, 110120272, 109116648, 103503472, 108729416
 11896,  16,  16384,   3470,   6,   1,   3, 110076552, 110234720, 109930816, 110150280, 113970280
 11897,  16,  16384,  49777,   1,  12,   3, 108085824, 113908632, 113640112, 113901768, 110307648
 11898,  16,  16384,  12439,  12,   3,   3, 110891856, 112598576, 113706192, 113558200, 111381416
 11899,  16,  16384,  44346,   3,   3,   0, 111610760, 111197040, 111178984, 111384480, 110315880
 11900,  16,  16384,  20799,   3,   5,   2, 104227536, 111301376, 111363800, 109950872, 114168600
 11901,  16,  16384,  21914,   5,   5,   0, 113073024, 114011712, 114113176, 113887240, 113884408
 11902,  16,  16384,  24127,   5,   5,   0, 114224624, 113771176, 106664184, 113096448, 114026312
 11903,  16,  16384,   6025,   5,   1,   2, 112726960, 114104232, 113064280, 113840496, 114237352
 11904,  16,  16384,   8783,   1,   0,   1, 114511856, 114193288, 107636400, 113766616, 112676872
 11905,  16,  16384,   1074,   0,   4,   2, 113916336, 107512736, 113316208, 113671920, 113755976
 11906,  16,  16384,  12127,   4,  12,   3, 113781016, 113753680, 112638440, 113457896, 113885936
 11907,  16,  16384,  15785,  12,  12,   0, 113903656, 112210832, 110721904, 109693440, 113842968
 11908,  16,  16384,  41991,  12,  14,   2, 113737896, 112377968, 113872736, 113549480, 111070264
 11909,  16,  16384,  34063,  14,  14,   0, 110484216, 108928352, 109909656, 109805176, 111174984
 11910,  16,  16384,  37116,  14,  14,   0, 111206144, 110697464, 110853368, 104939792, 111135576
 11911,  16,  16384,  28461,  14,  14,   0, 110927784, 110732272, 109880512, 110248112, 111209264
 11912,  16,  16384,  20201,  14,  14,   0, 109863104, 110996672, 110798416, 110737048, 111184288
 11913,  16,  16384,  32501,  14,  15,   1, 105182608, 111091896, 110588472, 111054232, 111570544
 11914,  16,  16384,  25707,  15,  15,   0, 111609176, 110225504, 110654664, 110473424, 111572216
 11915,  16,  16384,  40482,  15,  12,   2, 111474328, 111788440, 111621800, 111593416, 114115816
 11916,  16,  16384,  28758,  12,  13,   1, 113741568, 113573664, 113402240, 107811888, 114126688
 11917,  16,  16384,  41414,  13,  13,   0, 106254272, 113349504, 113988176, 114151360, 112764728
 11918,  16,  16384,  36072,  13,   9,   3, 114187304, 114044440, 114072648, 114167040, 113102904
 11919,  16,  16384,  42138,   9,   8,   1, 114414832, 112969096, 113967536, 112929272, 112788928
 11920,  16,  16384,  21199,   8,   8,   0, 113675648, 107537896, 113669976, 113633792, 113834096
 11921,  16,  16384,  13939,   8,  20,   3, 111304800, 113720496, 113817520, 112424088, 115703096
 11922,  16,  16384,  37050,  20,   3,   3, 115563160, 114106512, 115312976, 115329480, 111467888
 11923,  16,  16384,   7707,   3,   3,   0, 111576368, 110212128, 111360872, 110039976, 111563640
 11924,  16,  16384,  31797,   3,  13,   3, 110439248, 111204048, 111337104, 104279496, 108502744
 11925,  16,  16384,  44587,  13,  21,   3, 114370104, 113988608, 113597016, 113773888, 108154912
 11926,  16,  16384,  22688,  21,  20,   1, 115436648, 115991136, 116187472, 115941440, 115550312
 11927,  16,  16384,   3615,  20,  13,   3, 115324096, 114241496, 114229112, 115422312, 114273024
 11928,  16,  16384,   2830,  13,  13,   0, 114334288, 112760448, 113163384, 114266480, 114282864
 11929,  16,  16384,  31924,  13,  12,   1, 114111072, 113046912, 114308512, 114357672, 112500736
 11930,  16,  16384,   8355,  12,  13,   1, 113732712, 113709352, 113460576, 113320608, 113217160
 11931,  16,  16384,  11740,  13,   3,   3, 114156936, 114312688, 113847320, 112909984, 111259200
 11932,  16,  16384,  42500,   3,  21,   3, 111324320, 111122336, 111307624, 110237608, 115916552
 11933,  16,  16384,  36701,  21,   2,   3, 114779464, 108566080, 115763128, 115723136, 110763008
 11934,  16,  16384,   2395,   2,   2,   0, 109776960, 110543280, 109613104, 110850208, 110072784
 11935,  16,  16384,  22792,   2,   2,   0, 110693520, 110850528, 109539152, 110688944, 110846336
 11936,  16,  16384,    888,   2,   5,   2, 108207072, 107502968, 110512712, 109512896, 114004632
 11937,  16,  16384,  22607,   5,   3,   2, 112718016, 113920336, 113855392, 113915288, 111288976
 11938,  16,  16384,   2707,   3,   6,   3, 103389032, 111216152, 111061024, 111149944, 110124608
 11939,  16,  16384,  43844,   6,   9,   2, 108636040, 109930976, 104459672, 108728424, 113997536
 11940,  16,  16384,  46725,   9,  10,   2, 113103584, 114053752, 107844480, 111927096, 110982240
 11941,  16,  16384,  31225,  10,   8,   2, 111069184, 110848360, 109590856, 109244384, 107863016
 11942,  16,  16384,  36740,   8,   6,   2, 113718072, 112524560, 112410808, 113657176, 110630760
 11943,  16,  16384,  22617,   6,  10,   2, 109914608, 110083008, 110106136, 109155360, 110780896
 11944,  16,  16384,  38694,  10,  21,   3, 108847184, 110869880, 110873864, 110639520, 114788800
 11945,  16,  16384,  19918,  21,  22,   2, 113470800, 112615528, 115722392, 115932688, 111404960
 11946,  16,  16384,  29489,  22,  20,   2, 107118032, 110900248, 112354392, 112433672, 115315944
 11947,  16,  16384,  31630,  20,  19,   2, 109876456, 115244224, 114904504, 114946272, 113624400
 11948,  16,  16384,  14393,  19,  17,   3, 113277160, 113090088, 112073296, 106311624, 115922560
 11949,  16,  16384,  28167,  17,  23,   3, 114696648, 114669600, 114754624, 115721416, 113361064
 11950,  16,  16384,  13695,  23,   9,   3, 113583624, 113164992, 113233728, 111758768, 113888008
 11951,  16,  16384,   5843,   9,  12,   3, 113995688, 113465968, 113723464, 114352816, 113784784
 11952,  16,  16384,  25854,  12,  12,   0, 112641568, 113852064, 113828776, 113876968, 113500744
 11953,  16,  16384,  40602,  12,  13,   1, 113601120, 113235728, 113178560, 112656200, 114435480
 11954,  16,  16384,  41150,  13,  19,   3, 114315944, 113983040, 113929152, 114007888, 113336096
 11955,  16,  16384,  16762,  19,  19,   0, 112068672, 112041872, 113304056, 111861752, 112133784
 11956,  16,  16384,   2996,  19,  19,   0, 113539680, 113267376, 113319976, 107448704, 113236600
 11957,  16,  16384,  33036,  19,  12,   3, 113348872, 112936512, 111978648, 113386160, 113786824
 11958,  16,  16384,  25586,  12,  19,   3, 113074528, 106952520, 113387960, 113607304, 113488984
 11959,  16,  16384,  41872,  19,  18,   1, 107670344, 113471336, 113014776, 113324024, 112663456
 11960,  16,  16384,  12897,  18,  18,   0, 111558232, 111195760, 112400344, 112581904, 109924224
 11961,  16,  16384,  32948,  18,   6,   3, 112780112, 111028136, 112358128, 112612448, 110182448
 11962,  16,  16384,   5360,   6,   6,   0, 104491768, 109891560, 108683904, 110061584, 110148440
 11963,  16,  16384,   6994,   6,   8,   2, 110122176, 110047016, 109002672, 110040016, 113668192
 11964,  16,  16384,  16834,   8,  16,   3, 113661376, 113558984, 113823256, 113581216, 115467600
 11965,  16,  16384,  26976,  16,  19,   3, 115505240, 112602336, 115165120, 115435296, 113527992
 11966,  16,  16384,  10011,  19,  22,   2, 113522392, 107553280, 112018696, 113432688, 111902392
 11967,  16,  16384,  26084,  22,  23,   1, 111086488, 111015480, 112316896, 112445880, 113466928
 11968,  16,  16384,  20238,  23,  15,   3, 113668760, 107421816, 112977728, 113157376, 110457440
 11969,  16,  16384,   9587,  15,  15,   0, 111927400, 111545480, 111158832, 109542648, 105767592
 11970,  16,  16384,  37020,  15,  14,   1, 111713496, 111475304, 111650520, 111728024, 109954672
 11971,  16,  16384,  13064,  14,   6,   3, 111108896, 109559960, 109859128, 109796360, 109914368
 11972,  16,  16384,  40041,   6,   2,   3, 110073112, 110024952, 110122312, 109736832, 110948160
 11973,  16,  16384,     50,   2,   5,   2, 109832584, 110436368, 110142584, 110616840, 114348680
 11974,  16,  16384,  20465,   5,   5,   0, 108026808, 111650032, 114066224, 113875056, 114320848
 11975,  16,  16384,  36236,   5,   1,   2, 114031448, 113944464, 112780744, 114006640, 113884784
 11976,  16,  16384,  23401,   1,   0,   1, 114291696, 113977936, 114156600, 113249224, 113807168
 11977,  16,  16384,  33318,   0,  15,   3, 114015760, 113600896, 113662488, 106497848, 111860480
 11978,  16,  16384,  46382,  15,  22,   3, 111743480, 111671680, 110429464, 111461088, 112704104
 11979,  16,  16384,  36421,  22,  21,   2, 111497672, 111331016, 111053360, 111162672, 115007008
 11980,  16,  16384,  33851,  21,  21,   0, 114924760, 116090096, 115918488, 115506032, 116017664
 11981,  16,  16384,  28549,  21,  21,   0, 115857440, 115978248, 110030808, 115780512, 114740000
 11982,  16,  16384,   4740,  21,  21,   0, 116105088, 114182480, 114687640, 115654792, 116246240
 11983,  16,  16384,  26046,  21,  20,   1, 115899688, 115925128, 115668080, 115894272, 115700248
 11984,  16,  16384,  41195,  20,  21,   1, 112950952, 114286480, 115562416, 115069424, 116078856
 11985,  16,  16384,  47081,  21,  15,   3, 116112680, 115829960, 115962856, 115967136, 111525504
 11986,  16,  16384,  10622,  15,  14,   1, 111833528, 110592744, 110526456, 111727448, 110886824
 11987,  16,  16384,  38902,  14,  15,   1, 111142472, 110975768, 110764424, 110824104, 111678616
 11988,  16,  16384,  25570,  15,  14,   1, 111719192, 111322456, 110148104, 111189384, 109737808
 11989,  16,  16384,  10044,  14,  15,   1, 110565232, 110880920, 110922176, 110895432, 111393376
 11990,  16,  16384,   2145,  15,  14,   1, 104052808, 111596464, 111779224, 111401800, 110980896
 11991,  16,  16384,  37597,  14,  14,   0, 110873312, 110701128, 109949288, 110832632, 111134256
 11992,  16,  16384,  24866,  14,  20,   3, 111149776, 110869872, 109962856, 111061888, 115658880
 11993,  16,  16384,  24875,  20,  21,   1, 112875368, 114356704, 115452672, 115521624, 114939064
 11994,  16,  16384,  29655,  21,  10,   3, 115766272, 115920904, 115952184, 115842160, 110052392
 11995,  16,  16384,  14640,  10,  10,   0, 111095024, 109850056, 110742536, 110893952, 110995880
 11996,  16,  16384,  22694,  10,  11,   1, 105112488, 109604480, 110529160, 110596072, 111569960
 11997,  16,  16384,  49905,  11,  10,   1, 110510568, 111270856, 110813248, 110698112, 111000984
 11998,  16,  16384,  21094,  10,  10,   0, 110979208, 110871432, 104014832, 111079376, 111391328
 11999,  16,  16384,  14634,  10,   6,   2, 110835336, 109662848, 110927664, 110752816, 108826360
 12000,  16,  16384,  12955,   6,  14,   3, 104192264, 110262952, 110050176, 110158128, 111223736
 12001,  16,  16384,  17710,  14,  15,   1, 109863520, 110947600, 105067368, 110852472, 111641336
 12002,  16,  16384,  34259,  15,   9,   3, 110678392, 111535560, 105685400, 111563744, 112011888
 12003,  16,  16384,  10694,   9,   9,   0, 108212696, 114075344, 114016392, 114035112, 114070144
 12004,  16,  16384,  12751,   9,   7,   2, 114158072, 113906608, 113570824, 113460080, 111370528
 12005,  16,  16384,  38299,   7,   8,   2, 111378424, 110356664, 111358200, 111463336, 110613928
 12006,  16,  16384,  20730,   8,   9,   1, 113769056, 112815280, 113425888, 113512520, 114004776
 12007,  16,  16384,  42175,   9,   6,   2, 113067224, 113942160, 114302424, 113910832, 108793840
 12008,  16,  16384,  22506,   6,   6,   0, 109339568, 110048440, 108944920, 109872768, 110285416
 12009,  16,  16384,  41581,   6,  20,   3, 110404936, 108731552, 110217472, 104121072, 114340984
 12010,  16,  16384,   4604,  20,   5,   3, 115870944, 115281840, 114170320, 115595424, 114157664
 12011,  16,  16384,  12834,   5,  21,   3, 113755256, 109231160, 112576528, 113639976, 116087992
 12012,  16,  16384,   6290,  21,   5,   3, 115997496, 115742872, 110132864, 111908704, 114353544
 12013,  16,  16384,  27021,   5,   5,   0, 114476576, 113852864, 113874528, 112583040, 107772376
 12014,  16,  16384,   3978,   5,   4,   1, 113825368, 114297304, 114159000, 113935840, 113990056
 12015,  16,  16384,  21859,   4,   7,   3, 111764376, 113678248, 113432024, 113683520, 110509512
 12016,  16,  16384,  14868,   7,   7,   0, 111492320, 111377720, 111464600, 110773720, 111605568
 12017,  16,  16384,  42142,   7,   6,   1, 111480384, 111320768, 111204360, 111344496, 110045360
 12018,  16,  16384,  26967,   6,  22,   3, 110227272, 110062896, 108537816, 110152664, 111448496
 12019,  16,  16384,  25854,  22,  22,   0, 113092280, 112514728, 110779072, 106428864, 111253688
 12020,  16,  16384,  18179,  22,  23,   1, 112763400, 112383792, 112223432, 112319192, 112028288
 12021,  16,  16384,  48396,  23,  10,   3, 113350848, 113000056, 107456056, 113155456, 110987896
 12022,  16,  16384,  20989,  10,  10,   0, 104064096, 110729928, 111006280, 109943392, 111280144
 12023,  16,  16384,  24892,  10,   7,   2, 110725960, 110888432, 109622320, 109900880, 111371000
 12024,  16,  16384,  18084,   7,   7,   0, 111457128, 111075832, 111349688, 108457304, 111591320
 12025,  16,  16384,  19900,   7,   6,   1, 110369456, 111357056, 111678248, 111257224, 104512968
 12026,  16,  16384,   8130,   6,   5,   3, 110301768, 110070480, 109856872, 110195360, 114022576
 12027,  16,  16384,  49112,   5,   5,   0, 114276224, 114054240, 113714384, 113784752, 113763664
 12028,  16,  16384,  31966,   5,   5,   0, 114019576, 113812432, 114062240, 113054624, 114051896
 12029,  16,  16384,  34557,   5,   4,   1, 112742016, 113999344, 114079432, 113941912, 113662000
 12030,  16,  16384,  48485,   4,   4,   0, 113712472, 113920112, 112887544, 113942872, 114142256
 12031,  16,  16384,   5034,   4,   3,   2, 112756728, 113381072, 113819824, 113755072, 111404360
 12032,  16,  16384,   4140,   3,   0,   2, 111727544, 111582784, 111437664, 110099096, 114023336
 12033,  16,  16384,  33612,   0,  13,   3, 113905032, 112479368, 113550688, 112356344, 114416264
 12034,  16,  16384,   1405,  13,  13,   0, 114302368, 114319032, 113895280, 111585304, 114148296
 12035,  16,  16384,  25794,  13,  13,   0, 113031696, 114119960, 114083360, 113921728, 114258592
 12036,  16,  16384,   6074,  13,  13,   0, 114342552, 112870640, 114083512, 113945832, 114154832
 12037,  16,  16384,  46532,  13,  17,   2, 113391248, 112859120, 113139728, 114028816, 116027424
 12038,  16,  16384,  38292,  17,  16,   1, 116203464, 114483408, 116088272, 116140176, 116003792
 12039,  16,  16384,  24942,  16,   5,   3, 115450504, 115103240, 113045048, 115614560, 114017912
 12040,  16,  16384,  48376,   5,   3,   2, 113962856, 114002416, 113039952, 113816976, 111516312
 12041,  16,  16384,   6731,   3,   4,   2, 111654112, 111670296, 111456936, 110091904, 113547792
 12042,  16,  16384,  30074,   4,   5,   1, 107149584, 112602200, 113674152, 113538312, 113969840
 12043,  16,  16384,  45487,   5,   4,   1, 114092136, 114208568, 113915576, 113827192, 112523408
 12044,  16,  16384,  45017,   4,   5,   1, 113982352, 108171168, 111298808, 113670176, 112734440
 12045,  16,  16384,  15011,   5,   1,   2, 114313512, 114053928, 113921576, 113969048, 114283592
 12046,  16,  16384,  28455,   1,  12,   3, 113246648, 114420936, 113796008, 111507792, 113755352
 12047,  16,  16384,  38273,  12,  20,   3, 113621840, 113452504, 112668272, 113668312, 114523264
 12048,  16,  16384,  39251,  20,  18,   2, 115857208, 115314816, 114884176, 114569304, 112759280
 12049,  16,  16384,  17881,  18,  20,   2, 112530824, 106681952, 111006992, 112312352, 115505360
 12050,  16,  16384,  30651,  20,  20,   0, 114179408, 115438784, 115516392, 115505584, 114408144
 12051,  16,  16384,  18544,  20,  20,   0, 114369200, 115734320, 115453656, 109525240, 115523240
 12052,  16,  16384,  47335,  20,  22,   2, 114086440, 115510480, 115309424, 114132656, 112644784
 12053,  16,  16384,  12286,  22,  23,   1, 112685128, 112068744, 112316760, 112595080, 113316152
 12054,  16,  16384,   1718,  23,  22,   1, 113714968, 113301920, 113295224, 112033680, 111574064
 12055,  16,  16384,  30496,  22,  22,   0, 111089352, 112418328, 112439888, 112271744, 112660192
 12056,  16,  16384,  13144,  22,  22,   0, 112488040, 111016776, 112470960, 112413368, 106856432
 12057,  16,  16384,   1561,  22,  23,   1, 112795872, 110129328, 110977560, 112353928, 113488424
 12058,  16,  16384,  38225,  23,  13,   3, 112245864, 113265272, 113088928, 113128312, 114501952
 12059,  16,  16384,  25967,  13,  18,   3, 114016184, 114143736, 113964584, 114050336, 112534576
 12060,  16,  16384,  48282,  18,  18,   0, 112801744, 112664424, 112321760, 112410168, 112815520
 12061,  16,  16384,  47244,  18,  21,   2, 112819800, 112492648, 112291408, 112297400, 115878408
 12062,  16,  16384,  26125,  21,  20,   1, 115963824, 114699944, 113090360, 110434512, 115748584
 12063,  16,  16384,  45136,  20,  21,   1, 115299912, 108051912, 115398152, 115146880, 115916784
 12064,  16,  16384,   6620,  21,  21,   0, 116057584, 115983784, 114785488, 114881376, 116289272
 12065,  16,  16384,  25325,  21,  21,   0, 110261792, 114473000, 115860864, 115915032, 116034744
 12066,  16,  16384,   8706,  21,  21,   0, 115812376, 115956680, 115873360, 115973416, 114669928
 12067,  16,  16384,  27574,  21,  22,   2, 116170240, 113308200, 116147880, 114605664, 112668768
 12068,  16,  16384,  38679,  22,  22,   0, 112465560, 111994736, 107314168, 112561664, 112581512
 12069,  16,  16384,  31188,  22,   3,   3, 112453496, 112573784, 111275536, 112422512, 111612224
 12070,  16,  16384,   9049,   3,   3,   0, 110057592, 111130216, 111426360, 105121232, 111672528
 12071,  16,  16384,  15036,   3,   2,   1, 110321056, 110428064, 111195856, 111189048, 111117512
 12072,  16,  16384,  45532,   2,   2,   0, 111023528, 110793192, 109457192, 110992648, 108274136
 12073,  16,  16384,  44666,   2,  18,   3, 105199864, 110931264, 110831760, 110605872, 112642408
 12074,  16,  16384,  44364,  18,  18,   0, 111069152, 112383312, 112690000, 112694008, 112620456
 12075,  16,  16384,  48517,  18,  18,   0, 112300688, 111262528, 104868656, 112075568, 112493280
 12076,  16,  16384,  19770,  18,  19,   1, 112520400, 110915592, 112468304, 112455536, 107829224
 12077,  16,  16384,  11891,  19,  21,   2, 113301168, 110793552, 112509808, 112129496, 114677384
 12078,  16,  16384,  37088,  21,  20,   1, 116224944, 115090792, 114554304, 116210064, 115754888
 12079,  16,  16384,   1971,  20,  20,   0, 109828984, 115414608, 114224496, 115444072, 114121392
 12080,  16,  16384,  45432,  20,  20,   0, 115420032, 114268872, 115397144, 115552336, 115673176
 12081,  16,  16384,    703,  20,  19,   2, 114634176, 115417016, 115498744, 115216928, 113420712
 12082,  16,  16384,  32685,  19,  18,   1, 112076976, 112923312, 111581584, 113031176, 111077512
 12083,  16,  16384,  18519,  18,   2,   3, 112707160, 112305888, 112425992, 112624848, 110928088
 12084,  16,  16384,  25071,   2,  14,   3, 109918984, 110763768, 104640040, 110582472, 110501616
 12085,  16,  16384,  23355,  14,   8,   3, 110292680, 104915472, 110825168, 110721976, 113471200
 12086,  16,  16384,  11885,   8,   8,   0, 113690504, 113556600, 111365096, 112653200, 113997584
 12087,  16,  16384,  40234,   8,   8,   0, 114104184, 112765536, 113711936, 113617864, 113927072
 12088,  16,  16384,  25054,   8,   9,   1, 113882136, 107615400, 113760368, 113563720, 114153640
 12089,  16,  16384,  28312,   9,   8,   1, 113171032, 113943696, 112839192, 113984064, 113875608
 12090,  16,  16384,  30963,   8,   9,   1, 113704808, 113614104, 113545312, 108584696, 113863080
 12091,  16,  16384,  37140,   9,   9,   0, 113020960, 113784896, 113249728, 113163600, 114180712
 12092,  16,  16384,  22266,   9,  13,   3, 108185960, 113816880, 114089472, 113867032, 113820744
 12093,  16,  16384,  19275,  13,  12,   1, 114443528, 112973840, 112777408, 112873120, 113718544
 12094,  16,  16384,  31140,  12,   7,   3, 112891624, 113796576, 113934912, 113637264, 111625936
 12095,  16,  16384,   2731,   7,  12,   3, 110410104, 109676544, 109521144, 105448032, 113636592
 12096,  16,  16384,   7274,  12,  21,   3, 111954736, 113436784, 112587712, 113687352, 116128856
 12097,  16,  16384,  38237,  21,  20,   1, 116138008, 115618872, 114893504, 116203152, 115499464
 12098,  16,  16384,  30007,  20,  19,   2, 114287008, 115172824, 109275376, 115177624, 113415456
 12099,  16,  16384,   4148,  19,  19,   0, 113419528, 113194040, 112965960, 111754648, 113217592
 12100,  16,  16384,  45665,  19,  18,   1, 106684704, 110837928, 113056112, 113209088, 112633840
 12101,  16,  16384,  23993,  18,  20,   2, 112589408, 112525920, 112308376, 112389200, 114052976
 12102,  16,  16384,   4578,  20,  20,   0, 115665696, 115362936, 115522440, 114373640, 115607392
 12103,  16,  16384,  11877,  20,  18,   2, 115560480, 109546216, 114050616, 115495272, 112470112
 12104,  16,  16384,  18089,  18,  18,   0, 112645488, 112554624, 112353000, 111189328, 111532760
 12105,  16,  16384,  30459,  18,  19,   1, 111019784, 111347000, 106770168, 112321496, 113344728
 12106,  16,  16384,  42269,  19,  14,   3, 113306336, 113081176, 111850824, 113254984, 109736928
 12107,  16,  16384,   2351,  14,  16,   2, 110979504, 110877016, 108582352, 105974208, 115594712
 12108,  16,  16384,  18853,  16,  17,   1, 114178584, 109562944, 115330920, 114267688, 115963992
 12109,  16,  16384,   1833,  17,  14,   2, 114915384, 115776224, 115169720, 115263384, 103751312
 12110,  16,  16384,  18198,  14,  15,   1, 110517272, 110251088, 109890760, 110390264, 111662536
 12111,  16,  16384,  20831,  15,  14,   1, 111501264, 111445952, 103157832, 111450728, 110840936
 12112,  16,  16384,  13895,  14,   8,   3, 111111496, 109832000, 104881856, 109720960, 113558416
 12113,  16,  16384,   6338,   8,  10,   2, 113804128, 111172832, 109080072, 113800272, 110771688
 12114,  16,  16384,   9258,  10,  12,   3, 109855232, 110960752, 111044568, 110541256, 110870144
 12115,  16,  16384,  49846,  12,  12,   0, 113765328, 112660912, 113811080, 113644896, 113802504
 12116,  16,  16384,  10668,  12,  19,   3, 113995416, 112412984, 113849016, 113735456, 113438408
 12117,  16,  16384,   6322,  19,  18,   1, 113420056, 112974176, 113030288, 113345776, 111412320
 12118,  16,  16384,   7191,  18,  14,   3, 112663640, 112595384, 112520400, 111291424, 111204160
 12119,  16,  16384,  13514,  14,  15,   1, 111083504, 110620448, 109645168, 111009056, 111679968
 12120,  16,  16384,  32325,  15,  20,   3, 111712248, 110299288, 111230200, 110297840, 115582200
 12121,  16,  16384,  44149,  20,  15,   3, 115433448, 109723040, 115461736, 114345720, 111639752
 12122,  16,  16384,  25310,  15,  14,   1, 111614984, 111296120, 110565840, 111596640, 111032488
 12123,  16,  16384,  13871,  14,  15,   1, 109711848, 109615208, 110771888, 110900320, 111532328
 12124,  16,  16384,  30374,  15,  15,   0, 111602616, 111541000, 111170680, 111549592, 110351176
 12125,  16,  16384,  24961,  15,  15,   0, 110654736, 110547880, 111485808, 105447688, 111709744
 12126,  16,  16384,  26747,  15,  19,   3, 111879216, 110356480, 111886480, 111505656, 113525992
 12127,  16,  16384,  16453,  19,  19,   0, 113557472, 113308304, 112011952, 111847264, 112067208
 12128,  16,  16384,   4656,  19,  18,   1, 112520824, 113402336, 113318712, 113447880, 112495416
 12129,  16,  16384,  46147,  18,  19,   1, 106899080, 112373024, 111306000, 112414648, 110838648
 12130,  16,  16384,  38628,  19,  20,   2, 113507888, 111889160, 112011184, 113370272, 114015272
 12131,  16,  16384,   4919,  20,  20,   0, 115867832, 112850064, 115431520, 115277920, 115719576
 12132,  16,  16384,  33968,  20,  21,   1, 115569864, 115311040, 115175288, 115683568, 115935376
 12133,  16,  16384,  36782,  21,  10,   3, 116027232, 115604048, 115883160, 115851184, 111212528
 12134,  16,  16384,   8316,  10,  11,   1, 111162832, 103133504, 110764896, 110872904, 111736496
 12135,  16,  16384,  41899,  11,  10,   1, 111547968, 111656784, 111323648, 111578936, 109648320
 12136,  16,  16384,  18179,  10,  10,   0, 111153240, 111087304, 110924792, 109010360, 111047048
 12137,  16,  16384,    735,  10,   9,   2, 111205320, 110978912, 110857920, 109769816, 114337624
 12138,  16,  16384,    764,   9,   8,   1, 114309424, 114062176, 114107528, 113890832, 113714552
 12139,  16,  16384,  46939,   8,   9,   1, 113967752, 113583832, 112700024, 113651064, 112968488
 12140,  16,  16384,  42684,   9,   9,   0, 113947168, 113994344, 113869648, 113658712, 114301632
 12141,  16,  16384,   9511,   9,   8,   1, 114157016, 111937584, 107988400, 112846992, 113842456
 12142,  16,  16384,   6040,   8,   9,   1, 113943672, 111590736, 113928104, 113865712, 114281176
 12143,  16,  16384,   6174,   9,   9,   0, 114216296, 114206888, 113949360, 112789448, 113014640
 12144,  16,  16384,  42017,   9,   9,   0, 105611352, 114389936, 114226592, 114168280, 113184656
 12145,  16,  16384,  22300,   9,   8,   1, 114368488, 114183568, 114065736, 114139952, 113710672
 12146,  16,  16384,  44672,   8,   9,   1, 113386880, 113637000, 112389536, 113717648, 113914168
 12147,  16,  16384,  29278,   9,   1,   3, 114060040, 112727616, 114128856, 113906600, 114071952
 12148,  16,  16384,  19326,   1,   4,   2, 114325752, 107763920, 113579224, 112587056, 113650384
 12149,  16,  16384,  29301,   4,  21,   3, 114047960, 112871648, 113390952, 106928280, 116311112
 12150,  16,  16384,   7464,  21,  22,   2, 116410176, 116312544, 115873064, 114865432, 112797400
 12151,  16,  16384,  43044,  22,  23,   1, 111376304, 112529520, 106572016, 112379552, 113583680
 12152,  16,  16384,  25043,  23,  21,   2, 113363336, 113275904, 111801616, 113237432, 114921584
 12153,  16,  16384,  35370,  21,  20,   1, 116057296, 115913544, 108058144, 115923576, 108486800
 12154,  16,  16384,   5718,  20,  19,   2, 113192184, 115496992, 114237688, 115200448, 113474816
 12155,  16,  16384,  44552,  19,  22,   2, 113481504, 112876208, 112917968, 111744376, 112018568
 12156,  16,  16384,  49101,  22,  18,   2, 111741896, 112377616, 112580096, 109896672, 112755296
 12157,  16,  16384,  18623,  18,  18,   0, 112795688, 112288808, 112377728, 112474632, 111294656
 12158,  16,  16384,  34184,  18,  18,   0, 106773952, 111050936, 112544512, 112481232, 109966040
 12159,  16,  16384,  24697,  18,  18,   0, 112648056, 112367064, 112590496, 112530168, 112607784
 12160,  16,  16384,  29333,  18,  19,   1, 112906360, 111403264, 112386120, 105401688, 113474728
 12161,  16,  16384,   7218,  19,   9,   3, 113590256, 111720776, 113159896, 107443320, 114283608
 12162,  16,  16384,  26355,   9,   6,   2, 114205480, 114101240, 107674440, 112988168, 107753960
 12163,  16,  16384,  41334,   6,   6,   0, 110037912, 110006832, 110082232, 109006216, 110157272
 12164,  16,  16384,  15925,   6,   7,   1, 109014272, 110028344, 110072992, 110305880, 105471872
 12165,  16,  16384,   6698,   7,  10,   2, 111438408, 111184064, 111110736, 111234920, 104734056
 12166,  16,  16384,   6647,  10,  11,   1, 111081200, 111133576, 110877320, 109590656, 111563344
 12167,  16,  16384,   5279,  11,  10,   1, 111958208, 111396672, 110392088, 111503720, 108792744
 12168,  16,  16384,   5908,  10,   8,   2, 110936048, 110841696, 105015976, 110794112, 113984328
 12169,  16,  16384,  24026,   8,   8,   0, 113961168, 113835920, 113651712, 113529384, 113891016
 12170,  16,  16384,  20058,   8,   6,   2, 113570008, 110912784, 107961248, 111093664, 109766864
 12171,  16,  16384,  29259,   6,  15,   3, 110067296, 109835152, 108756016, 110131776, 111607840
 12172,  16,  16384,  32043,  15,  16,   2, 110510888, 111523584, 105632328, 111431760, 114597560
 12173,  16,  16384,   4537,  16,  17,   1, 109556992, 115047152, 115316040, 115348216, 116074968
 12174,  16,  16384,  47953,  17,   1,   3, 114860344, 116001776, 114684072, 116213272, 113386184
 12175,  16,  16384,  21978,   1,  11,   3, 114318768, 113990336, 112189720, 107057672, 110455080
 12176,  16,  16384,  48704,  11,  11,   0, 105928296, 111217472, 110181992, 111469088, 111804584
 12177,  16,  16384,   8778,  11,   9,   2, 111398128, 110605728, 111465408, 111392768, 112970512
 12178,  16,  16384,  30045,   9,   8,   1, 114216248, 114078728, 114153088, 113948072, 114008464
 12179,  16,  16384,  29592,   8,   8,   0, 113667560, 112718320, 107388824, 113473400, 113357568
 12180,  16,  16384,   6490,   8,   9,   1, 112542944, 113674024, 113713232, 112349120, 114196568
 12181,  16,  16384,    796,   9,   6,   2, 108182896, 113968656, 113884160, 114040640, 109042328
 12182,  16,  16384,  17560,   6,   7,   1, 110241816, 110258048, 110130840, 110219552, 110350488
 12183,  16,  16384,  33371,   7,   6,   1, 110565040, 104167216, 111350960, 111226608, 107555632
 12184,  16,  16384,  42215,   6,   6,   0, 109037592, 108786112, 109938456, 110283376, 110239496
 12185,  16,  16384,  11897,   6,   6,   0, 109621504, 107742224, 110506752, 110252080, 110191328
 12186,  16,  16384,  24173,   6,   8,   2, 110352912, 109875936, 104325224, 107683864, 112935928
 12187,  16,  16384,  40534,   8,   9,   1, 113729368, 112560880, 113622112, 113557352, 114141568
 12188,  16,  16384,  29211,   9,   8,   1, 108230064, 114095944, 113804528, 113747032, 107885232
 12189,  16,  16384,  42493,   8,  10,   2, 112649256, 113632744, 113624968, 112529624, 111005816
 12190,  16,  16384,  30646,  10,  10,   0, 110046280, 110785416, 110611568, 111072880, 110327472
 12191,  16,  16384,  45770,  10,  23,   3, 103502688, 111006128, 110576520, 110830752, 110666048
 12192,  16,  16384,  44070,  23,  22,   1, 113545464, 113358288, 113452416, 113170400, 112792920
 12193,  16,  16384,  23462,  22,  20,   2, 111544384, 111154584, 111764904, 111580520, 115522768
 12194,  16,  16384,  32920,  20,  21,   1, 115892760, 115188696, 115209968, 109459376, 116009688
 12195,  16,  16384,  22757,  21,  20,   1, 115868816, 116011064, 114621088, 115749960, 115406960
 12196,  16,  16384,  48892,  20,  16,   3, 115719384, 115526464, 115429504, 115541984, 115700472
 12197,  16,  16384,   2677,  16,  13,   2, 115412744, 115652040, 114236112, 115632736, 113939424
 12198,  16,  16384,  35597,  13,  11,   3, 113444272, 114275280, 108131344, 114008368, 111703592
 12199,  16,  16384,  14284,  11,  17,   3, 111575288, 111490896, 110202040, 111390688, 114727984
 12200,  16,  16384,  16845,  17,  13,   2, 114952616, 114535752, 115719224, 115529088, 108512680
 12201,  16,  16384,  35086,  13,  17,   2, 114537248, 114070840, 114135592, 113251440, 116080680
 12202,  16,  16384,  46223,  17,  13,   2, 115784560, 114510008, 115965960, 114590200, 113189520
 12203,  16,  16384,  27181,  13,  21,   3, 114213040, 108175992, 113952032, 113914552, 115914592
 12204,  16,  16384,  13246,  21,  20,   1, 115570600, 115173248, 114529832, 115930344, 115516152
 12205,  16,  16384,  26189,  20,  20,   0, 115652944, 115237408, 115488760, 115159632, 115445440
 12206,  16,  16384,  46294,  20,  20,   0, 115823432, 115460520, 114076856, 115710856, 114303224
 12207,  16,  16384,  42811,  20,  21,   1, 114339056, 109493088, 115258992, 115405184, 115935496
 12208,  16,  16384,  23137,  21,  19,   2, 116183488, 115619648, 115722168, 114823120, 113057552
 12209,  16,  16384,  30477,  19,   9,   3, 111054480, 113074944, 113288096, 113214008, 112823904
 12210,  16,  16384,  31753,   9,   7,   2, 114403888, 112826352, 114018312, 114115904, 111271136
 12211,  16,  16384,  40104,   7,   7,   0, 111301256, 104364080, 111449672, 111410136, 111328376
 12212,  16,  16384,   1802,   7,   6,   1, 111546952, 110252056, 110184344, 111433528, 110243176
 12213,  16,  16384,  31240,   6,   9,   2, 110211368, 109840376, 109940632, 110053968, 114094144
 12214,  16,  16384,   7637,   9,  19,   3, 114341592, 114200152, 114087256, 112944648, 113457336
 12215,  16,  16384,  11904,  19,  18,   1, 113461224, 107573768, 112983560, 113294392, 112461560
 12216,  16,  16384,  32244,  18,   0,   3, 112476536, 106775760, 112335768, 112285816, 113941856
 12217,  16,  16384,  47688,   0,   0,   0, 113561888, 113617816, 113686136, 113533424, 112651552
 12218,  16,  16384,  49794,   0,  18,   3, 112518608, 113559904, 110629176, 110676512, 112335536
 12219,  16,  16384,  43763,  18,  18,   0, 111470064, 111008200, 111264088, 111216800, 112629160
 12220,  16,  16384,  31202,  18,  21,   2, 112683512, 112503832, 112342848, 112220456, 116160928
 12221,  16,  16384,  24067,  21,  19,   2, 115971160, 115576440, 109942048, 115891208, 107585512
 12222,  16,  16384,   1422,  19,  18,   1, 113507160, 112177344, 111806408, 113292256, 112826448
 12223,  16,  16384,  16355,  18,  19,   1, 112485016, 106658864, 112539032, 111236944, 113659368
 12224,  16,  16384,  34164,  19,   7,   3, 113637360, 113241336, 111425840, 109353072, 110111040
 12225,  16,  16384,  12343,   7,   7,   0, 111604272, 111511768, 111210208, 111145816, 110447368
 12226,  16,  16384,  34407,   7,   6,   1, 111367272, 111346032, 111604768, 110226048, 109987040
 12227,  16,  16384,  11098,   6,   7,   1, 110280088, 109952728, 110084216, 109850104, 111191048
 12228,  16,  16384,  19954,   7,  13,   3, 111429440, 109776120, 111495984, 111255912, 114327720
 12229,  16,  16384,  28305,  13,  13,   0, 113345088, 114116912, 112812808, 114205544, 113296336
 12230,  16,  16384,  32555,  13,  12,   1, 108567736, 114102872, 114000840, 113998776, 113828160
 12231,  16,  16384,  36244,  12,  14,   2, 113911560, 113710560, 113753032, 107156832, 110989384
 12232,  16,  16384,  18412,  14,  13,   2, 110829296, 110933488, 109607808, 110910480, 114104616
 12233,  16,  16384,   9752,  13,  15,   2, 114424672, 114022192, 112782272, 112899104, 110202280
 12234,  16,  16384,  43794,  15,  15,   0, 110795192, 111520632, 111579392, 111518856, 111196200
 12235,  16,  16384,   2474,  15,  19,   3, 104512920, 111336384, 111379736, 111260456, 112592128
 12236,  16,  16384,   8647,  19,  18,   1, 113271408, 113226816, 106251888, 113036168, 112782040
 12237,  16,  16384,  41703,  18,  19,   1, 109828304, 109403776, 111056872, 112368336, 113625576
 12238,  16,  16384,  25411,  19,  23,   2, 112267496, 113205440, 113419928, 112064616, 113524288
 12239,  16,  16384,   3215,  23,   7,   3, 113432344, 113436880, 113200472, 113218912, 109034440
 12240,  16,  16384,  34856,   7,   7,   0, 111755328, 111501088, 110177784, 110230032, 111665520
 12241,  16,  16384,    245,   7,  13,   3, 111869568, 105182360, 111153624, 111591648, 114154496
 12242,  16,  16384,  37763,  13,  12,   1, 114171056, 114141768, 114123488, 114015392, 113761304
 12243,  16,  16384,  16559,  12,  14,   2, 107720472, 113608592, 113446840, 112152360, 110744704
 12244,  16,  16384,  44730,  14,  15,   1, 109807968, 104860112, 111007712, 110758560, 111712072
 12245,  16,  16384,   1308,  15,  15,   0, 110566040, 111402664, 111223848, 111353480, 110654064
 12246,  16,  16384,  13828,  15,  15,   0, 111945664, 110668752, 111616384, 111549136, 111409480
 12247,  16,  16384,  17397,  15,  14,   1, 111152816, 104790408, 111411624, 111400896, 110680672
 12248,  16,  16384,  22615,  14,  14,   0, 111321152, 111039184, 109863016, 111035064, 103663056
 12249,  16,  16384,  40394,  14,  15,   1, 111150856, 110707848, 111085600, 110761064, 111614208
 12250,  16,  16384,  43978,  15,  14,   1, 110203304, 111395808, 110666312, 111617608, 111187032
 12251,  16,  16384,   7291,  14,  15,   1, 109693912, 104840568, 110880608, 110766856, 104485968
 12252,  16,  16384,  47120,  15,  14,   1, 111628888, 111207088, 110613680, 111324936, 111037752
 12253,  16,  16384,  38502,  14,  19,   3, 109764200, 110825808, 109658968, 104963096, 113556160
 12254,  16,  16384,  37522,  19,  18,   1, 111006944, 107531224, 113165936, 113370600, 112790096
 12255,  16,  16384,  36851,  18,  18,   0, 112653640, 112430816, 112370184, 112308736, 111637576
 12256,  16,  16384,  19030,  18,  20,   2, 112647584, 112347216, 111747056, 110628608, 115674784
 12257,  16,  16384,   3668,  20,   2,   3, 115971832, 114188920, 115216992, 115273984, 110904400
 12258,  16,  16384,   2067,   2,  19,   3, 109058232, 108796024, 110676592, 110536904, 107674472
 12259,  16,  16384,     49,  19,  15,   3, 113378296, 113189472, 111680016, 113377368, 110629256
 12260,  16,  16384,  49084,  15,  16,   2, 111843112, 111705848, 111417408, 111601648, 115461520
 12261,  16,  16384,   5985,  16,   8,   3, 115431112, 115342544, 113924232, 115499416, 112974608
 12262,  16,  16384,   4915,   8,   6,   2, 113208960, 114007544, 113798016, 112823864, 110640360
 12263,  16,  16384,  49152,   6,  11,   2, 108773912, 110109040, 109857864, 110137984, 110413448
 12264,  16,  16384,   8262,  11,   7,   2, 111633080, 105749464, 110112136, 111422352, 111410312
 12265,  16,  16384,   9742,   7,  15,   3, 111842680, 111410456, 111573392, 111217352, 111605312
 12266,  16,  16384,  14657,  15,  17,   2, 110773864, 110581288, 109996088, 111293792, 114828024
 12267,  16,  16384,  37408,  17,  17,   0, 114695232, 115803072, 110412824, 114262168, 116129872
 12268,  16,  16384,  27937,  17,  13,   2, 114963048, 115790208, 115860176, 115705464, 114208616
 12269,  16,  16384,   8148,  13,  12,   1, 113958088, 107731800, 113876320, 114084328, 113604288
 12270,  16,  16384,   3903,  12,  12,   0, 114045552, 113861200, 113655008, 113741232, 113890304
 12271,  16,  16384,  23959,  12,  14,   2, 113704568, 112731688, 111465448, 113262088, 110797984
 12272,  16,  16384,  22483,  14,  14,   0, 110812112, 109948192, 110593520, 110575048, 111157960
 12273,  16,  16384,  38334,  14,  15,   1, 111052912, 110779368, 110006576, 109983792, 111716240
 12274,  16,  16384,  23753,  15,  15,   0, 111688160, 110491912, 111341504, 111765944, 111718480
 12275,  16,  16384,  15760,  15,  15,   0, 111630120, 110192152, 110546600, 110421808, 111628272
 12276,  16,  16384,  46864,  15,   4,   3, 105472416, 111468176, 111662696, 111661936, 113844720
 12277,  16,  16384,   8368,   4,   5,   1, 113799544, 113950792, 113829512, 113952256, 113933736
 12278,  16,  16384,  25886,   5,   0,   2, 114094296, 114203368, 113153304, 113973128, 113856528
 12279,  16,  16384,  35217,   0,   3,   2, 112139240, 108785072, 113477544, 113690240, 110358224
 12280,  16,  16384,  35184,   3,   5,   2, 111414904, 110143576, 111340784, 110203392, 114386352
 12281,  16,  16384,  12697,   5,  11,   3, 114290800, 108001216, 113853288, 112498536, 111797264
 12282,  16,  16384,  38583,  11,  10,   1, 111540824, 110573560, 111075168, 110501352, 111015744
 12283,  16,  16384,   7155,  10,  10,   0, 110858096, 110885608, 111111112, 109574632, 111070536
 12284,  16,  16384,   9361,  10,   5,   3, 111133168, 110629504, 110743624, 109531520, 114140456
 12285,  16,  16384,  44578,   5,   2,   2, 114079296, 113569248, 113241408, 113995240, 110270056
 12286,  16,  16384,   3433,   2,   3,   1, 110303864, 111196184, 110915072, 110715944, 111609128
 12287,  16,  16384,   2628,   3,   2,   1, 110196576, 110166152, 111392072, 111275080, 110787784
 12288,  16,  16384,  11466,   2,  18,   3, 111002880, 111029968, 110839808, 109330664, 112725184
 12289,  16,  16384,  13458,  18,  18,   0, 112619072, 112364560, 109766168, 111126592, 112844208
 12290,  16,  16384,  45841,  18,  19,   1, 112668912, 112413288, 112668064, 112281776, 113431216
 12291,  16,  16384,   7867,  19,   5,   3, 113705968, 113242896, 113249264, 113336416, 113795952
 12292,  16,  16384,  10933,   5,  17,   3, 114192936, 113053224, 113827696, 114080544, 115930944
 12293,  16,  16384,  26149,  17,  22,   3, 114621728, 116083568, 114692016, 115972232, 106795904
 12294,  16,  16384,  15087,  22,  21,   2, 109040008, 111240400, 112399200, 112513192, 116365992
 12295,  16,  16384,  27176,  21,  20,   1, 110403464, 115390376, 114527120, 115917232, 115649800
 12296,  16,  16384,  35974,  20,  23,   2, 115729032, 115566664, 115519328, 115746472, 112421920
 12297,  16,  16384,  30290,  23,  23,   0, 113288296, 106352400, 110434384, 113124304, 113258240
 12298,  16,  16384,  19121,  23,   5,   3, 113543928, 113166832, 113120312, 112973704, 113930504
 12299,  16,  16384,  11717,   5,   2,   2, 114190664, 113110272, 112927056, 113942224, 110973784
 12300,  16,  16384,   3332,   2,  11,   3, 110691520, 110840920, 110752240, 110675448, 110386608
 12301,  16,  16384,  15064,  11,   9,   2, 111723560, 111319120, 111309512, 110391176, 113334280
 12302,  16,  16384,  24732,   9,  16,   3, 114197168, 111716608, 113223312, 114015072, 115639736
 12303,  16,  16384,  40916,  16,  15,   2, 115586880, 115319360, 115313192, 114049688, 110826168
 12304,  16,  16384,  16245,  15,  14,   1, 112009328, 110606632, 110636792, 111555904, 111085880
 12305,  16,  16384,  30800,  14,  15,   1, 111007264, 104975088, 109610208, 109973000, 111908304
 12306,  16,  16384,  15899,  15,  17,   2, 110550744, 111650688, 111461424, 110540160, 114484912
 12307,  16,  16384,  45982,  17,   0,   3, 114701112, 114568840, 115810328, 115804088, 113864168
 12308,  16,  16384,  40001,   0,   3,   2, 112635616, 112533280, 113608080, 113728784, 110801880
 12309,  16,  16384,   1691,   3,   3,   0, 110605328, 111203872, 111393400, 111465168, 110390712
 12310,  16,  16384,   2041,   3,   2,   1, 111824552, 110128744, 111456848, 111546264, 111163264
 12311,  16,  16384,   9638,   2,   4,   2, 110827184, 110714288, 110513080, 110576936, 112724392
 12312,  16,  16384,  37763,   4,   5,   1, 113673048, 112713624, 113768960, 113839240, 114139184
 12313,  16,  16384,  27763,   5,  15,   3, 114205048, 113851512, 114482504, 112940328, 110907680
 12314,  16,  16384,  15113,  15,  11,   3, 111583128, 111349264, 105219680, 111527376, 111740296
 12315,  16,  16384,   1227,  11,  18,   3, 109217840, 111463008, 110181032, 111573264, 112467784
 12316,  16,  16384,  18655,  18,   3,   3, 112674312, 112213288, 111250416, 111324168, 111374416
 12317,  16,  16384,  25059,   3,   2,   1, 111480984, 111234168, 111261656, 110105640, 110182336
 12318,  16,  16384,  20223,   2,   3,   1, 111090128, 110804464, 110960344, 111014960, 111338360
 12319,  16,  16384,  32285,   3,   6,   3, 111328112, 111515976, 111272376, 111346624, 110132904
 12320,  16,  16384,   2507,   6,   7,   1, 110178280, 109019584, 110186976, 110123800, 111519936
 12321,  16,  16384,   5463,   7,   7,   0, 110498176, 110088160, 111460184, 105430768, 111454960
 12322,  16,  16384,  35554,   7,   6,   1, 111185080, 111366960, 109999208, 110220008, 110186816
 12323,  16,  16384,  49914,   6,   8,   2, 110115984, 110143032, 110009680, 109021120, 111731632
 12324,  16,  16384,  18468,   8,  19,   3, 113646848, 108417576, 111622208, 113575872, 112567400
 12325,  16,  16384,  41346,  19,   1,   3, 113594656, 113240840, 113393232, 113263808, 114137144
 12326,  16,  16384,   9234,   1,  22,   3, 114098896, 113895848, 114252880, 112835232, 112467648
 12327,  16,  16384,  21188,  22,  23,   1, 110911040, 108526928, 112289408, 112270256, 112396776
 12328,  16,  16384,    518,  23,  23,   0, 113037968, 113500032, 111858056, 113617768, 112367784
 12329,  16,  16384,   7462,  23,  22,   1, 113441432, 113238968, 105961176, 113200368, 112605648
 12330,  16,  16384,   2520,  22,  23,   1, 112549832, 112556744, 109679056, 112517560, 113481152
 12331,  16,  16384,  38202,  23,  23,   0, 112156440, 112929520, 112085392, 113315408, 106603328
 12332,  16,  16384,  47032,  23,  23,   0, 113142416, 113291448, 113269552, 113113280, 112729448
 12333,  16,  16384,  41820,  23,  18,   2, 113501424, 112016520, 113590216, 112223376, 112680848
 12334,  16,  16384,  27117,  18,   8,   3, 112706112, 112483080, 112564464, 112581488, 113850888
 12335,  16,  16384,  42150,   8,   8,   0, 113845592, 112074680, 112421432, 111793232, 113397176
 12336,  16,  16384,  31606,   8,  11,   2, 113597832, 113574832, 113779584, 113492056, 111542424
 12337,  16,  16384,  37226,  11,   2,   3, 109489912, 107723680, 111415232, 110225576, 110637248
 12338,  16,  16384,  44999,   2,   3,   1, 110764920, 110680112, 110579336, 111080920, 111684368
 12339,  16,  16384,   1026,   3,   6,   3, 111571568, 110512912, 110447928, 111390688, 107747312
 12340,  16,  16384,  33747,   6,   6,   0, 110342360, 110023064, 110378352, 110264888, 110124232
 12341,  16,  16384,  11394,   6,   7,   1, 110233624, 110036384, 102219536, 109675512, 111416056
 12342,  16,  16384,  35559,   7,   6,   1, 111605672, 111665592, 111356904, 111673480, 110440184
 12343,  16,  16384,  23161,   6,  11,   2, 109920944, 110085344, 110205016, 110020040, 111632376
 12344,  16,  16384,  42900,  11,  10,   1, 105772424, 111347792, 111559792, 111496448, 111277664
 12345,  16,  16384,  18077,  10,  11,   1, 111077880, 110612544, 111236384, 110872680, 110664376
 12346,  16,  16384,  11269,  11,  10,   1, 111752952, 111353712, 105232728, 111321632, 105019848
 12347,  16,  16384,  15980,  10,  11,   1, 110214432, 110568824, 110934792, 111013792, 110870744
 12348,  16,  16384,  35267,  11,  11,   0, 110128984, 111603400, 110262680, 111627736, 111740160
 12349,  16,  16384,  13116,  11,  11,   0, 105557608, 111550096, 111433008, 111473416, 111480240
 12350,  16,  16384,  35342,  11,   6,   2, 110440672, 111451136, 110501688, 110631384, 104510936
 12351,  16,  16384,  45602,   6,   6,   0, 110214736, 109932112, 107568200, 110061952, 110054096
 12352,  16,  16384,    290,   6,   2,   3, 110108048, 109032960, 110041648, 110169352, 105310592
 12353,  16,  16384,  47437,   2,   3,   1, 110775784, 110852144, 110702856, 110789160, 111505544
 12354,  16,  16384,  10523,   3,   3,   0, 111589680, 111263968, 111270216, 111563808, 105502480
 12355,  16,  16384,  38103,   3,   2,   1, 111526160, 109998056, 110179248, 110278144, 110659272
 12356,  16,  16384,  31352,   2,   3,   1, 108643032, 110726016, 110920616, 109706248, 111675288
 12357,  16,  16384,  17306,   3,   3,   0, 111637408, 105081728, 111310944, 109009352, 111412896
 12358,  16,  16384,  13387,   3,   4,   2, 110386336, 111530496, 110341384, 111461944, 114268840
 12359,  16,  16384,   1489,   4,  15,   3, 113545264, 113949112, 113839520, 113961632, 110356952
 12360,  16,  16384,  32420,  15,  13,   2, 105596760, 110937592, 110687544, 110368384, 114302112
 12361,  16,  16384,  43749,  13,  14,   2, 114159704, 114163408, 113066640, 113479480, 110472208
 12362,  16,  16384,  26699,  14,  14,   0, 109218912, 110664880, 111002576, 110837120, 111094816
 12363,  16,  16384,   8326,  14,  12,   2, 109950440, 110700872, 111006008, 109673656, 113811160
 12364,  16,  16384,  21143,  12,  14,   2, 113728520, 113503776, 113305264, 113550312, 111176472
 12365,  16,  16384,  14630,  14,  15,   1, 111024056, 111066440, 111085640, 109980824, 111590144
 12366,  16,  16384,  33539,  15,  16,   2, 111789784, 111434984, 111614864, 110638144, 115697224
 12367,  16,  16384,  25735,  16,  17,   1, 115953920, 115247384, 115345928, 114107288, 115857232
 12368,  16,  16384,  43888,  17,  17,   0, 116293888, 115660168, 116007904, 111968960, 115849208
 12369,  16,  16384,  43001,  17,  17,   0, 116420760, 116173368, 115708040, 114470064, 116384640
 12370,  16,  16384,  38914,  17,  15,   2, 116045168, 116004928, 115804000, 115715576, 111677848
 12371,  16,  16384,  32891,  15,   2,   3, 108257032, 107711552, 110414344, 111408512, 109504360
 12372,  16,  16384,  43985,   2,   3,   1, 109862912, 110553232, 109852480, 109690560, 105348448
 12373,  16,  16384,  39907,   3,   3,   0, 111589264, 111478328, 110510680, 110525592, 111483048
 12374,  16,  16384,  31637,   3,   3,   0, 110394728, 110463600, 111659008, 111412728, 111959328
 12375,  16,  16384,  42944,   3,   3,   0, 111121384, 105473888, 111425776, 111095368, 111389112
 12376,  16,  16384,  24764,   3,   9,   3, 110253112, 111391464, 110385488, 110314088, 114178912
 12377,  16,  16384,   9839,   9,   9,   0, 114244032, 113229432, 113049016, 114137784, 112994480
 12378,  16,  16384,  37703,   9,  16,   3, 114254920, 114270112, 114055688, 110666040, 114318496
 12379,  16,  16384,  36378,  16,  23,   3, 115466664, 113782936, 108746992, 115190856, 113229688
 12380,  16,  16384,   8194,  23,   5,   3, 112863032, 112640016, 113251968, 113204120, 112980600
 12381,  16,  16384,   2446,   5,   8,   3, 114028832, 112584624, 113321248, 113626800, 112869576
 12382,  16,  16384,   4279,   8,  15,   3, 114075080, 113739392, 113534776, 113723392, 111525024
 12383,  16,  16384,  45027,  15,  14,   1, 111863880, 111502888, 111542752, 110139200, 110713584
 12384,  16,  16384,  38860,  14,   4,   3, 111114664, 109683904, 111039864, 110871072, 114011096
 12385,  16,  16384,    154,   4,   1,   2, 114249520, 107890408, 113993504, 112629376, 114027416
 12386,  16,  16384,  23258,   1,  23,   3, 112751496, 113346968, 113850656, 113717608, 113648432
 12387,  16,  16384,  39535,  23,  21,   2, 112113096, 113436584, 113070216, 113218496, 114593408
 12388,  16,  16384,  15269,  21,  18,   2, 116211552, 115689232, 114596936, 115701328, 112534648
 12389,  16,  16384,  30291,  18,  19,   1, 112682472, 112444936, 112277128, 112317816, 113400432
 12390,  16,  16384,  41457,  19,  21,   2, 113154104, 112037568, 113169800, 113521136, 115997648
 12391,  16,  16384,  38351,  21,  21,   0, 115989328, 115739472, 115494032, 115688200, 113611600
 12392,  16,  16384,  27542,  21,   1,   3, 110579104, 115584128, 114674816, 116065984, 112569448
 12393,  16,  16384,   6854,   1,   2,   2, 114271448, 113680768, 113199384, 114232264, 110929624
 12394,  16,  16384,    591,   2,   5,   2, 110677648, 110685640, 109465760, 109724296, 112887704
 12395,  16,  16384,  40384,   5,  20,   3, 114186968, 111815192, 108905000, 113775712, 114740704
 12396,  16,  16384,   9830,  20,  22,   2, 115329672, 115606784, 115625960, 114179856, 111293936
 12397,  16,  16384,  48921,  22,  20,   2, 112684672, 112372672, 111322904, 112175224, 114325032
 12398,  16,  16384,  11450,  20,  21,   1, 115744584, 114232144, 115452528, 115722704, 116021000
 12399,  16,  16384,    512,  21,  21,   0, 115916456, 114796136, 109588288, 115620896, 113536224
 12400,  16,  16384,  27266,  21,  20,   1, 114821632, 115945864, 115857072, 116307976, 115864144
 12401,  16,  16384,   8520,  20,  20,   0, 115223816, 114442712, 115614136, 115482520, 115456896
 12402,  16,  16384,  24409,  20,  20,   0, 109541120, 114057752, 115357288, 113941600, 115416408
 12403,  16,  16384,  41827,  20,  20,   0, 114491272, 115236688, 115474664, 114269448, 115417328
 12404,  16,  16384,   9028,  20,  23,   2, 115525272, 115425440, 115053176, 109348192, 113439400
 12405,  16,  16384,  21930,  23,  23,   0, 113462784, 112805152, 112832008, 112057176, 113752784
 12406,  16,  16384,   7048,  23,  23,   0, 113598744, 113355824, 110504480, 113151800, 113565536
 12407,  16,  16384,  45414,  23,  11,   3, 113123064, 111909744, 107675040, 113012464, 109327408
 12408,  16,  16384,  47370,  11,  11,   0, 111912912, 111637440, 111412168, 111423688, 105627816
 12409,  16,  16384,   4050,  11,  10,   1, 111637000, 111379528, 111591144, 111631136, 111074648
 12410,  16,  16384,  27303,  10,  11,   1, 105231072, 111009240, 110508240, 110809008, 111778336
 12411,  16,  16384,  15036,  11,  11,   0, 110595584, 111427472, 105502008, 111393432, 111689032
 12412,  16,  16384,  49151,  11,   4,   3, 111429760, 111475040, 110097840, 110362768, 113928416
 12413,  16,  16384,    367,   4,   2,   2, 113751272, 113864008, 113655352, 112782096, 110685856
 12414,  16,  16384,  46599,   2,   3,   1, 109915896, 110985384, 111099784, 109891880, 111709200
 12415,  16,  16384,  39101,   3,  11,   3, 110267480, 110345648, 111648328, 105349376, 111502736
 12416,  16,  16384,  24714,  11,  22,   3, 106045464, 111614064, 111535712, 111480056, 112201352
 12417,  16,  16384,   9060,  22,  19,   2, 112765392, 112286176, 111261160, 112439744, 111738872
 12418,  16,  16384,  20513,  19,  12,   3, 112037112, 113122360, 110405736, 113377792, 113925256
 12419,  16,  16384,  23946,  12,   6,   3, 113954448, 113405064, 113292456, 112322336, 110321408
 12420,  16,  16384,  39982,   6,   8,   2, 110259496, 109958584, 110107936, 108853400, 113787016
 12421,  16,  16384,  40302,   8,   9,   1, 112776976, 113380376, 107671392, 113548728, 108154848
 12422,  16,  16384,  38248,   9,   8,   1, 112045280, 114158584, 114111248, 112788104, 113912744
 12423,  16,  16384,  23241,   8,   7,   2, 113735176, 112293744, 113644176, 112862192, 111824872
 12424,  16,  16384,  37359,   7,   7,   0, 111635320, 111320624, 110108584, 105119496, 111227552
 12425,  16,  16384,   2248,   7,   4,   3, 109175392, 111382048, 111529088, 111300224, 113776232
 12426,  16,  16384,  29759,   4,   5,   1, 112632136, 113564664, 113727176, 107742576, 114055096
 12427,  16,  16384,  16667,   5,   4,   1, 114341520, 112613936, 114133984, 113777640, 113776280
 12428,  16,  16384,  19598,   4,   5,   1, 112617264, 113859176, 112564784, 113712304, 112908448
 12429,  16,  16384,  28122,   5,   5,   0, 107695024, 113883160, 113818752, 113655168, 114142912
 12430,  16,  16384,  44543,   5,   5,   0, 113551592, 112616032, 114168048, 114205176, 114406400
 12431,  16,  16384,  33952,   5,   5,   0, 113624224, 113435552, 112089696, 109976944, 114057216
 12432,  16,  16384,  22302,   5,   5,   0, 112758888, 113975120, 113682648, 111447384, 113914200
 12433,  16,  16384,  24472,   5,   5,   0, 114015368, 113973584, 114206792, 112985568, 114101424
 12434,  16,  16384,  21121,   5,   4,   1, 107844464, 113857264, 114128296, 112708856, 112540456
 12435,  16,  16384,  23809,   4,  15,   3, 112728536, 113742848, 114073128, 111395104, 111499944
 12436,  16,  16384,  44858,  15,  14,   1, 108498296, 107142624, 111029432, 111707768, 111055520
 12437,  16,  16384,  23298,  14,  14,   0, 104710920, 109515680, 110853992, 110903104, 110749504
 12438,  16,  16384,  41613,  14,   3,   3, 111024416, 110932200, 109202192, 110829368, 111797320
 12439,  16,  16384,  16084,   3,   3,   0, 111546176, 110115232, 105192072, 111201800, 111580256
 12440,  16,  16384,  28023,   3,   4,   2, 111792064, 111597056, 110512120, 111170296, 114168792
 12441,  16,  16384,  25507,   4,   2,   2, 113761160, 114213120, 113908016, 113985952, 109955392
 12442,  16,  16384,  32408,   2,   2,   0, 111228560, 110783712, 110732832, 109683808, 111173128
 12443,  16,  16384,   5882,   2,   2,   0, 103583344, 110643808, 110679416, 110648640, 111039648
 12444,  16,  16384,  31046,   2,  23,   3, 110144672, 110295144, 109875896, 110974184, 113284752
 12445,  16,  16384,   7584,  23,   6,   3, 113483520, 111857440, 107486760, 113474936, 109949000
 12446,  16,  16384,  33315,   6,   9,   2, 104404072, 109985768, 109301224, 109810680, 114356800
 12447,  16,  16384,  32390,   9,   8,   1, 113744320, 107870384, 113836816, 112956256, 113914536
 12448,  16,  16384,  40293,   8,  10,   2, 113923848, 113628456, 113622744, 112662136, 111083568
 12449,  16,  16384,  34888,  10,   7,   2, 109783176, 110952512, 110729936, 104807368, 110640144
 12450,  16,  16384,  32158,   7,  14,   3, 111107392, 111317752, 109446752, 110908512, 109792392
 12451,  16,  16384,  27824,  14,  17,   2, 110911864, 110866480, 109943536, 110704080, 115806760
 12452,  16,  16384,  27050,  17,  16,   1, 114761680, 115624336, 115880840, 116064832, 113154296
 12453,  16,  16384,  33870,  16,  17,   1, 114039096, 115752968, 115449920, 115367352, 113577976
 12454,  16,  16384,   8705,  17,  16,   1, 116105264, 114752528, 116169912, 116171824, 115588688
 12455,  16,  16384,   1067,  16,   1,   3, 115515000, 113023424, 113967904, 115414176, 113952456
 12456,  16,  16384,  13340,   1,  18,   3, 113238256, 112962376, 112836760, 114162872, 112629536
 12457,  16,  16384,   7769,  18,  22,   2, 111898272, 111554488, 111218224, 112320456, 105814864
 12458,  16,  16384,  32766,  22,  16,   3, 112798456, 112011904, 112399904, 111186688, 115626536
 12459,  16,  16384,  49453,  16,  16,   0, 115612512, 115293984, 115075904, 109306528, 113750264
 12460,  16,  16384,  35958,  16,   2,   3, 113699672, 115176048, 115380080, 115116584, 111036800
 12461,  16,  16384,  27936,   2,   1,   2, 110971048, 110651272, 109575576, 109711656, 113123712
 12462,  16,  16384,  45772,   1,  19,   3, 107971552, 113941912, 114179456, 113976376, 111886216
 12463,  16,  16384,  35345,  19,  21,   2, 113363960, 113286744, 113406960, 112106848, 116089752
 12464,  16,  16384,  13279,  21,  21,   0, 116051480, 109916224, 114575856, 115872056, 116083792
 12465,  16,  16384,  16950,  21,  22,   2, 114803104, 114626176, 114607296, 115945568, 111342600
 12466,  16,  16384,  38552,  22,  10,   3, 112599960, 112357536, 112327576, 111265808, 109885536
 12467,  16,  16384,  23183,  10,  10,   0, 111106928, 109826768, 111184464, 110930768, 111243976
 12468,  16,  16384,  38322,  10,  15,   3, 110911144, 110588136, 104617304, 110818800, 110427192
 12469,  16,  16384,  15639,  15,  15,   0, 111700984, 111159392, 111617848, 105334832, 111436800
 12470,  16,  16384,  21164,  15,  14,   1, 111878416, 111376712, 110425672, 111395800, 110983320
 12471,  16,  16384,  38025,  14,  16,   2, 111011880, 104308104, 108925176, 110900048, 114336136
 12472,  16,  16384,  41997,  16,   1,   3, 115747560, 115578456, 115595112, 115207168, 114243208
 12473,  16,  16384,   8475,   1,   7,   3, 114342528, 113826072, 107452880, 112829624, 111579984
 12474,  16,  16384,  21273,   7,   9,   2, 110966264, 109291040, 111245648, 111503832, 113180120
 12475,  16,  16384,  13551,   9,   6,   2, 114369776, 114185288, 114005648, 114171088, 108739592
 12476,  16,  16384,  12147,   6,  10,   2, 109077904, 108767584, 106300920, 107813488, 110750928
 12477,  16,  16384,  25103,  10,  12,   3, 111029360, 110728464, 110818880, 110910520, 107767520
 12478,  16,  16384,  12154,  12,  13,   1, 111998736, 113745584, 113640712, 113653024, 113311048
 12479,  16,  16384,  16936,  13,  11,   3, 114302760, 113968536, 114219000, 113015456, 111577168
 12480,  16,  16384,  23856,  11,  11,   0, 112041696, 110460152, 111669968, 110209968, 111867488
 12481,  16,  16384,   9027,  11,  10,   1, 110307688, 108161264, 108357328, 111455744, 110809016
 12482,  16,  16384,  15889,  10,   6,   2, 110835496, 110470952, 111054464, 110801440, 109921520
 12483,  16,  16384,  24378,   6,   8,   2, 108890056, 108881400, 108806664, 110212048, 114076960
 12484,  16,  16384,  19882,   8,   8,   0, 113877472, 113391848, 113570320, 113549864, 113641400
 12485,  16,  16384,  35278,   8,   9,   1, 113579928, 112720904, 112677176, 113917408, 114097544
 12486,  16,  16384,  27296,   9,   2,   3, 113199784, 114091568, 113084680, 114042200, 110849936
 12487,  16,  16384,  36429,   2,   3,   1, 110785672, 110678368, 110828344, 109434384, 111364528
 12488,  16,  16384,   8468,   3,   3,   0, 110404144, 111244872, 111276136, 111315304, 111698384
 12489,  16,  16384,  11940,   3,  10,   3, 111575592, 111891272, 111519408, 111216552, 104866312
 12490,  16,  16384,  12051,  10,  10,   0, 111298768, 109607160, 109630040, 110623320, 110818752
 12491,  16,  16384,  45208,  10,   4,   3, 111213384, 110937288, 110887184, 108862200, 113756024
 12492,  16,  16384,  17177,   4,   4,   0, 113909472, 113748584, 112481816, 113881680, 107651608
 12493,  16,  16384,  35888,   4,  12,   3, 111533960, 113996984, 113668672, 113262040, 112469896
 12494,  16,  16384,   4561,  12,   8,   3, 113447320, 113644016, 113319760, 113049536, 112509408
 12495,  16,  16384,   5361,   8,  16,   3, 113664672, 113494568, 112628832, 112691440, 115714816
 12496,  16,  16384,  36567,  16,  13,   2, 115769536, 115369472, 113922048, 114220456, 111231648
 12497,  16,  16384,  26207,  13,  19,   3, 111486936, 114094560, 112913608, 114359184, 113498688
 12498,  16,  16384,  21103,  19,  19,   0, 113170960, 113338152, 113228656, 111677248, 113203896
 12499,  16,  16384,   2544,  19,  22,   2, 107279568, 110946856, 112211248, 112768440, 112492336
 12500,  16,  16384,  40840,  22,  23,   1, 112680312, 112510168, 111284528, 112320672, 113213056
 12501,  16,  16384,  17640,  23,  22,   1, 105832336, 113266704, 111922200, 111616336, 111350472
 12502,  16,  16384,  38540,  22,  19,   2, 107005048, 112385696, 112305488, 112487712, 113405216
 12503,  16,  16384,  48515,  19,   4,   3, 113217240, 111774784, 113609360, 113312576, 114168480
 12504,  16,  16384,  49483,   4,   1,   2, 113872832, 112448264, 107701896, 114209256, 114125928
 12505,  16,  16384,   3096,   1,   1,   0, 114025400, 107674840, 114034792, 113843208, 114135744
 12506,  16,  16384,  30800,   1,   1,   0, 112994344, 112722408, 113789256, 112861040, 113916712
 12507,  16,  16384,  40362,   1,   4,   2, 112814784, 113824736, 114122616, 113778864, 112663784
 12508,  16,  16384,  12075,   4,   0,   2, 113940576, 112725048, 113558168, 113875328, 112438488
 12509,  16,  16384,  15037,   0,   5,   2, 113750792, 113721640, 113412248, 107590128, 114043560
 12510,  16,  16384,  14519,   5,   5,   0, 114228184, 113918896, 113953608, 113941768, 113255056
 12511,  16,  16384,  35900,   5,   5,   0, 114298168, 113988112, 113072000, 113826648, 112849904
 12512,  16,  16384,  46953,   5,   3,   2, 114497944, 113655856, 114042032, 113890520, 111521560
 12513,  16,  16384,  14791,   3,   0,   2, 110300952, 111219528, 111618400, 110167680, 114248536
 12514,  16,  16384,  12167,   0,   5,   2, 107638816, 113638064, 112580200, 113415376, 114072664
 12515,  16,  16384,  30769,   5,   5,   0, 114111568, 114033056, 111679712, 113989024, 113871344
 12516,  16,  16384,  44689,   5,   0,   2, 113699000, 113188296, 113879776, 107140408, 113816936
 12517,  16,  16384,   9542,   0,  20,   3, 113556304, 112407992, 112521032, 113842344, 115573320
 12518,  16,  16384,   9755,  20,  16,   3, 115593280, 115576992, 115619248, 114353360, 114246000
 12519,  16,  16384,  25007,  16,  16,   0, 115912224, 108217160, 115338904, 115216992, 114384472
 12520,  16,  16384,  37266,  16,  16,   0, 115787320, 115695984, 115271008, 115403920, 114361736
 12521,  16,  16384,  40120,  16,  13,   2, 115394096, 114375816, 114269128, 115147032, 114401208
 12522,  16,  16384,  12562,  13,  13,   0, 108199840, 114099576, 113898808, 114037872, 114165328
 12523,  16,  16384,  29565,  13,  12,   1, 114303784, 111844936, 112974384, 113386472, 113737144
 12524,  16,  16384,   3205,  12,   0,   3, 112841824, 113554352, 107724688, 113703784, 112212320
 12525,  16,  16384,  32561,   0,  15,   3, 113700296, 113695112, 113489960, 113450064, 111392568
 12526,  16,  16384,  10076,  15,  12,   2, 111569248, 110576176, 111806544, 111845672, 107920128
 12527,  16,  16384,  32425,  12,  13,   1, 113794144, 113581016, 112771048, 113741160, 113214768
 12528,  16,  16384,  19486,  13,  12,   1, 113387856, 113451488, 113674952, 114140600, 112702600
 12529,  16,  16384,  41249,  12,  13,   1, 112683888, 111890328, 109121008, 113500360, 114048104
 12530,  16,  16384,  31689,  13,  12,   1, 113167688, 111785448, 114318712, 113485584, 113871128
 12531,  16,  16384,  28906,  12,  13,   1, 112556352, 112383816, 113989024, 107736248, 114008384
 12532,  16,  16384,  27182,  13,  13,   0, 114064528, 113034208, 113259448, 112528864, 114457808
 12533,  16,  16384,  31590,  13,  21,   3, 113108272, 114060616, 114161640, 114250936, 116193560
 12534,  16,  16384,  33994,  21,  20,   1, 115047472, 116192128, 114824616, 114750912, 115712992
 12535,  16,  16384,  43607,  20,  23,   2, 114330496, 115467000, 114151032, 115493768, 113490672
 12536,  16,  16384,  35184,  23,  22,   1, 112234936, 111949360, 113284328, 113395136, 112477888
 12537,  16,  16384,  29652,  22,  23,   1, 112527272, 108919504, 108859968, 112538320, 107810784
 12538,  16,  16384,  35840,  23,  23,   0, 113189776, 111856408, 111797728, 113229440, 113569072
 12539,  16,  16384,   2221,  23,  23,   0, 112306728, 113306080, 113384656, 112928536, 113536112
 12540,  16,  16384,  40136,  23,  15,   3, 112012136, 113502160, 113021528, 107628976, 111658880
 12541,  16,  16384,  41578,  15,  13,   2, 111743752, 111220272, 111046512, 110927136, 114284584
 12542,  16,  16384,  24681,  13,  15,   2, 114372440, 114204104, 114216760, 113924400, 110215576
 12543,  16,  16384,  34972,  15,  17,   2, 104732592, 111329504, 111496400, 111638568, 115988664
 12544,  16,  16384,  22205,  17,   0,   3, 114825256, 116080784, 115891992, 115968576, 112567112
 12545,  16,  16384,  26965,   0,   1,   1, 112684880, 113903696, 113820336, 112247560, 113088792
 12546,  16,  16384,  48611,   1,  11,   3, 114321256, 113736512, 112753552, 114049016, 111478160
 12547,  16,  16384,  27288,  11,   0,   3, 111624808, 109119416, 111482384, 111543616, 111337360
 12548,  16,  16384,  31309,   0,   0,   0, 113948744, 113644952, 113686032, 107383496, 113816448
 12549,  16,  16384,   2463,   0,  15,   3, 113662800, 113622216, 112294848, 112674232, 111414416
 12550,  16,  16384,  41686,  15,  14,   1, 111584224, 110682032, 111710920, 105625592, 110987632
 12551,  16,  16384,  42415,  14,  15,   1, 111161664, 110824144, 109418048, 104731256, 110465320
 12552,  16,  16384,  30756,  15,  14,   1, 111893928, 111600552, 110477224, 111566448, 109784464
 12553,  16,  16384,  46279,  14,  14,   0, 111108824, 110767592, 111008440, 109949360, 109864832
 12554,  16,  16384,    127,  14,   0,   3, 110678184, 111053016, 110748544, 110814552, 111215816
 12555,  16,  16384,  28511,   0,   2,   2, 113921520, 113656896, 113700264, 107477408, 110923944
 12556,  16,  16384,  42859,   2,   2,   0, 110575112, 109836400, 110780096, 110700096, 110912784
 12557,  16,  16384,  47060,   2,   2,   0, 110983952, 110552904, 104827696, 108161984, 109703720
 12558,  16,  16384,  47449,   2,   2,   0, 111153648, 110808080, 109704216, 110956952, 110955552
 12559,  16,  16384,  41560,   2,   4,   2, 110757968, 110866312, 110756400, 110991928, 113739576
 12560,  16,  16384,   1529,   4,  16,   3, 113741296, 113841928, 112572448, 113058576, 114476664
 12561,  16,  16384,   4996,  16,  16,   0, 115499744, 114180440, 115400976, 115677528, 115693152
 12562,  16,  16384,  15230,  16,  16,   0, 109849080, 115290504, 115152928, 115093512, 115734224
 12563,  16,  16384,  12317,  16,  17,   1, 114427688, 114100224, 114080296, 115243728, 116106592
 12564,  16,  16384,  17926,  17,  16,   1, 114957488, 114850336, 115970800, 115828112, 115674272
 12565,  16,  16384,  36392,  16,  17,   1, 115504928, 115272456, 113774624, 114218464, 116093680
 12566,  16,  16384,  44900,  17,  17,   0, 115705256, 109513496, 114118192, 116106104, 115953744
 12567,  16,  16384,  17316,  17,  17,   0, 115881936, 115742368, 115956344, 114534784, 115862984
 12568,  16,  16384,  26337,  17,  17,   0, 114854904, 115824240, 115698688, 114567232, 114800728
 12569,  16,  16384,  25012,  17,  17,   0, 116318600, 115870856, 115704776, 115933912, 115805896
 12570,  16,  16384,  43287,  17,   3,   3, 115150448, 115702768, 114542864, 115766824, 111552016
 12571,  16,  16384,  35373,   3,  18,   3, 104332232, 111373832, 111210088, 111479672, 112562264
 12572,  16,  16384,   1574,  18,  20,   2, 112577136, 112216848, 112400344, 111018480, 115645576
 12573,  16,  16384,  49696,  20,  18,   2, 115708720, 114913224, 115412496, 115399600, 112493328
 12574,  16,  16384,  40859,  18,  22,   2, 112689208, 112441824, 112519432, 112670024, 105416328
 12575,  16,  16384,  30032,  22,  22,   0, 112698664, 111142656, 111173528, 112182304, 111491896
 12576,  16,  16384,  25146,  22,   6,   3, 112804624, 112662120, 112578672, 112406160, 110195448
 12577,  16,  16384,  39785,   6,  10,   2, 110187544, 110020200, 102315928, 109620648, 110972384
 12578,  16,  16384,  35638,  10,  11,   1, 111011272, 110716936, 109838984, 110685312, 111671336
 12579,  16,  16384,  24256,  11,  10,   1, 110361272, 111497728, 111556864, 111475760, 110126104
 12580,  16,  16384,  22005,  10,  10,   0, 104955864, 110985856, 110944928, 110680080, 111011576
 12581,  16,  16384,  22936,  10,  12,   3, 111262752, 110929312, 110943872, 110718656, 113707280
 12582,  16,  16384,  41081,  12,  13,   1, 113905840, 113628424, 113767840, 113595744, 114414104
 12583,  16,  16384,   1949,  13,   0,   3, 113962048, 108139576, 114090600, 112995792, 113771040
 12584,  16,  16384,  22201,   0,   1,   1, 112690280, 113486264, 113517528, 113475504, 114105664
 12585,  16,  16384,  33319,   1,  12,   3, 112917360, 113934080, 112659592, 114042928, 113945240
 12586,  16,  16384,  20742,  12,  13,   1, 110169864, 113847328, 113638496, 113729072, 114291712
 12587,  16,  16384,   9812,  13,  22,   3, 112998736, 113665152, 112031104, 114375864, 112699432
 12588,  16,  16384,   5364,  22,  23,   1, 112865976, 112443120, 112440120, 112250216, 112394240
 12589,  16,  16384,  42142,  23,  11,   3, 113607544, 113143152, 113329488, 113314640, 111391960
 12590,  16,  16384,   2227,  11,  10,   1, 110465928, 109549848, 111496920, 111390184, 111093032
 12591,  16,  16384,   3488,  10,  11,   1, 110802240, 109724144, 110935472, 103555016, 111518672
 12592,  16,  16384,  33005,  11,   6,   2, 111912136, 105653008, 111772200, 109097168, 110034056
 12593,  16,  16384,   8691,   6,  10,   2, 109073664, 110295224, 110322216, 110325912, 110206560
 12594,  16,  16384,  34233,  10,  10,   0, 103473016, 111017248, 110682568, 110856432, 109596920
 12595,  16,  16384,  18109,  10,  10,   0, 110856616, 110746104, 109837928, 110786456, 110946808
 12596,  16,  16384,  26245,  10,  10,   0, 111252728, 109664904, 110982888, 103659776, 111136056
 12597,  16,  16384,  27366,  10,  10,   0, 110905144, 110907144, 109530520, 110949424, 109914096
 12598,  16,  16384,  48262,  10,  10,   0, 111487720, 111132520, 111017400, 110247064, 110094000
 12599,  16,  16384,  22578,  10,  10,   0, 104751384, 110961376, 110594216, 111127960, 110761952
 12600,  16,  16384,  47814,  10,   9,   2, 111177016, 109634416, 111091016, 111152072, 112918752
 12601,  16,  16384,  10843,   9,  11,   2, 114430840, 112938472, 113542776, 113113664, 110881472
 12602,  16,  16384,  44726,  11,  11,   0, 111222840, 110664784, 111439008, 111365352, 111621768
 12603,  16,  16384,  41903,  11,  18,   3, 111525912, 111475640, 111651672, 104936872, 112598664
 12604,  16,  16384,   2892,  18,  22,   2, 112604352, 106708024, 112402952, 110910752, 112404744
 12605,  16,  16384,   1153,  22,  20,   2, 112453768, 112551384, 112407600, 111219096, 115589376
 12606,  16,  16384,  25770,  20,  19,   2, 114208448, 115618728, 115341640, 114416240, 113806528
 12607,  16,  16384,   6239,  19,  18,   1, 113467464, 113020672, 113168488, 113403496, 111351136
 12608,  16,  16384,  20171,  18,  18,   0, 112259312, 112517384, 111059384, 111208288, 112739512
 12609,  16,  16384,  40514,  18,  18,   0, 112536392, 112762528, 111264856, 112500384, 112539584
 12610,  16,  16384,  22598,  18,  12,   3, 112539608, 106652480, 111123064, 112201008, 113810376
 12611,  16,  16384,  14507,  12,  12,   0, 113926856, 112527600, 113637344, 113804480, 113690592
 12612,  16,  16384,      7,  12,  22,   3, 112300040, 113164432, 113816896, 113783328, 112994880
 12613,  16,  16384,  25777,  22,  23,   1, 111540344, 111088416, 112178176, 112612176, 113388432
 12614,  16,  16384,  24278,  23,  23,   0, 113473360, 113417072, 113193448, 107718472, 113467616
 12615,  16,  16384,  20527,  23,  18,   2, 109430704, 113345480, 113048568, 112859144, 107011384
 12616,  16,  16384,   1561,  18,  19,   1, 112908064, 112382728, 111327136, 112741912, 113563240
 12617,  16,  16384,  36307,  19,  15,   3, 113434536, 113418272, 109926984, 112504152, 110329456
 12618,  16,  16384,  42978,  15,  14,   1, 110527656, 110105736, 111640664, 111431336, 111061736
 12619,  16,  16384,  33962,  14,  21,   3, 110787944, 110913816, 110866936, 110273776, 108883304
 12620,  16,  16384,  37634,  21,  17,   3, 116193464, 115685952, 115620048, 114335384, 114556448
 12621,  16,  16384,  34940,  17,  16,   1, 110302168, 114514152, 115876280, 115899456, 115232376
 12622,  16,  16384,  34842,  16,  15,   2, 108572768, 115172160, 115316688, 113951992, 111801888
 12623,  16,  16384,  19058,  15,  17,   2, 111833648, 111573032, 111691128, 111504304, 115617664
 12624,  16,  16384,  31972,  17,  16,   1, 116044704, 115624904, 114229848, 115907872, 114324096
 12625,  16,  16384,  21916,  16,  16,   0, 115810544, 115695968, 113897696, 113929944, 115578496
 12626,  16,  16384,  27605,  16,  17,   1, 115533624, 115536920, 115278696, 114704504, 116137504
 12627,  16,  16384,  17318,  17,  17,   0, 115996368, 115866096, 114382072, 114600224, 114592136
 12628,  16,  16384,  16601,  17,  17,   0, 116217696, 110357776, 115562640, 115874064, 114813968
 12629,  16,  16384,  45914,  17,   0,   3, 116114832, 115719552, 115772000, 115942896, 112409576
 12630,  16,  16384,   2551,   0,   3,   2, 113986104, 113574024, 113720072, 113735312, 111569600
 12631,  16,  16384,  17504,   3,   4,   2, 105632112, 110047456, 109990312, 111301072, 114167640
 12632,  16,  16384,   6177,   4,   2,   2, 113834032, 112954200, 114079168, 113729384, 110381088
 12633,  16,  16384,  11735,   2,   0,   2, 110184784, 109632648, 110901720, 109477024, 113671864
 12634,  16,  16384,  45723,   0,   4,   2, 112587872, 113829392, 113546384, 113489824, 114229760
 12635,  16,  16384,   2157,   4,   4,   0, 113831528, 113722456, 113845064, 113599648, 112726024
 12636,  16,  16384,  13816,   4,   4,   0, 112968928, 113637560, 113644592, 112418784, 114164432
 12637,  16,  16384,  12452,   4,  12,   3, 113613456, 106883088, 113605200, 114046368, 113736776
 12638,  16,  16384,  46235,  12,  14,   2, 113977264, 112670824, 112554672, 107338216, 111360536
 12639,  16,  16384,  22413,  14,  14,   0, 110849656, 110805296, 110846632, 110974760, 109449368
 12640,  16,  16384,  30026,  14,  15,   1, 109644296, 110739696, 110608896, 110725672, 111598344
 12641,  16,  16384,   5887,  15,  14,   1, 111652976, 111604232, 111615240, 111598504, 110982080
 12642,  16,  16384,  39481,  14,  18,   3, 110906368, 105174320, 111043800, 109644496, 112623656
 12643,  16,  16384,  41147,  18,  19,   1, 109801216, 106766816, 111045808, 112357400, 113480032
 12644,  16,  16384,  12597,  19,  19,   0, 113488392, 111999320, 112267824, 110512712, 113317240
 12645,  16,  16384,  27649,  19,  19,   0, 113200264, 112744000, 107447760, 113033512, 113201752
 12646,  16,  16384,  29265,  19,  18,   1, 113503608, 113328336, 113293208, 112326152, 112385944
 12647,  16,  16384,  16707,  18,  16,   3, 112651632, 112266376, 111237752, 111047152, 115856288
 12648,  16,  16384,   7951,  16,  17,   1, 115400816, 115419584, 109357936, 114131832, 116316872
 12649,  16,  16384,  13392,  17,  17,   0, 116103152, 114683704, 110038248, 115901128, 115893352
 12650,  16,  16384,  35926,  17,   9,   3, 116148120, 115319720, 114664752, 113104200, 114382952
 12651,  16,  16384,   5419,   9,   8,   1, 114170960, 113930128, 113951344, 113279216, 112496160
 12652,  16,  16384,   5382,   8,  16,   3, 113783992, 113723992, 113567480, 113738896, 115750320
 12653,  16,  16384,   8725,  16,  12,   2, 115496272, 108684680, 114191808, 115426520, 113696648
 12654,  16,  16384,  34388,  12,  12,   0, 113952624, 112726896, 112234728, 113971432, 114031792
 12655,  16,  16384,  31471,  12,  12,   0, 114086520, 113587320, 113748840, 113559928, 113276312
 12656,  16,  16384,  27425,  12,  14,   2, 114073304, 113564624, 113644040, 113364432, 111056968
 12657,  16,  16384,   8827,  14,  17,   2, 109959736, 110819504, 110905496, 110967840, 115974952
 12658,  16,  16384,  20088,  17,  14,   2, 116156880, 115887296, 113345000, 116111152, 110903568
 12659,  16,  16384,  45999,  14,  16,   2, 108774360, 111012552, 109686544, 110748312, 115791304
 12660,  16,  16384,  45992,  16,   0,   3, 115626616, 114080744, 114208816, 109473720, 113890280
 12661,  16,  16384,   7555,   0,   0,   0, 113788840, 112880256, 106894712, 113775496, 114010920
 12662,  16,  16384,  16317,   0,  21,   3, 113884424, 113469088, 112649544, 113741016, 113592320
 12663,  16,  16384,  21197,  21,   7,   3, 116138192, 115732760, 115718984, 115908368, 109985064
 12664,  16,  16384,   4012,   7,   1,   3, 111347352, 111287240, 110139520, 104599664, 114125648
 12665,  16,  16384,  42211,   1,   5,   2, 114215032, 105304368, 113883128, 114000376, 114041648
 12666,  16,  16384,  24640,   5,   4,   1, 114216552, 114084160, 112985928, 113855624, 113896864
 12667,  16,  16384,  14923,   4,   4,   0, 112807896, 113352248, 113047136, 112577728, 113873432
 12668,  16,  16384,   1033,   4,  22,   3, 114050296, 113581704, 112601184, 113726424, 112653208
 12669,  16,  16384,  47082,  22,  23,   1, 110707992, 111711832, 106918912, 112380120, 112015216
 12670,  16,  16384,  41917,  23,  22,   1, 113740344, 113632200, 113379592, 113164888, 112609272
 12671,  16,  16384,  28858,  22,  17,   3, 112626144, 109995816, 112382808, 107841256, 114606392
 12672,  16,  16384,   9163,  17,  16,   1, 114503680, 115977728, 115821384, 115899352, 114530240
 12673,  16,  16384,  26909,  16,  17,   1, 115604880, 115250184, 115297208, 115094256, 116079440
 12674,  16,  16384,  28702,  17,  17,   0, 115880968, 108782440, 114513680, 115818672, 116018080
 12675,  16,  16384,  10778,  17,  17,   0, 116032552, 114310968, 115865184, 114602592, 116088408
 12676,  16,  16384,    587,  17,  13,   2, 116321536, 116060224, 115834288, 114531936, 106879808
 12677,  16,  16384,   4700,  13,  12,   1, 114147864, 113849344, 113942880, 112939496, 113881640
 12678,  16,  16384,  20779,  12,  13,   1, 113913936, 113856624, 112711440, 113812608, 114282512
 12679,  16,  16384,  40422,  13,  16,   2, 113077856, 114404728, 105532960, 113763328, 115488536
 12680,  16,  16384,   4526,  16,  17,   1, 115528824, 115235672, 115408648, 114206264, 116155736
 12681,  16,  16384,  45116,  17,  15,   2, 116056664, 115784888, 114287648, 115953576, 111549832
 12682,  16,  16384,  34583,  15,  14,   1, 111856752, 100645288, 111468632, 111409504, 109922136
 12683,  16,  16384,  43266,  14,  21,   3, 111009280, 110965368, 109548376, 109593880, 114574976
 12684,  16,  16384,  27421,  21,   6,   3, 115976232, 115722648, 113899664, 115496904, 110238088
 12685,  16,  16384,  33799,   6,   6,   0, 109590912, 108525160, 109680168, 110116016, 109167736
 12686,  16,  16384,  13484,   6,   6,   0, 104776712, 110316512, 110006736, 110232768, 109335440
 12687,  16,  16384,  31785,   6,   7,   1, 110179840, 110230800, 109813488, 108816832, 111675376
 12688,  16,  16384,  38710,   7,  11,   2, 111379640, 111051944, 111218728, 111587136, 110565704
 12689,  16,  16384,  46563,  11,  10,   1, 110680728, 111724752, 111793984, 110457168, 103971744
 12690,  16,  16384,  16305,  10,  10,   0, 111056192, 110809912, 109872184, 109764928, 109889360
 12691,  16,  16384,  12785,  10,  10,   0, 111073488, 110858408, 110740768, 111040872, 110823256
 12692,  16,  16384,  11752,  10,  10,   0, 111233960, 110711536, 106621176, 107796936, 110560072
 12693,  16,  16384,  15155,  10,   4,   3, 110406464, 109778888, 109979536, 110895384, 114109848
 12694,  16,  16384,  49102,   4,   2,   2, 113819384, 106276304, 112570928, 113754208, 108731448
 12695,  16,  16384,  45111,   2,   0,   2, 110778824, 104569472, 110730288, 109350968, 113511232
 12696,  16,  16384,  25880,   0,  11,   3, 113135392, 108358488, 112338992, 112586688, 111343848
 12697,  16,  16384,   4000,  11,  11,   0, 110586464, 111468664, 111306648, 111513448, 110865432
 12698,  16,  16384,  49057,  11,  11,   0, 111496008, 111500544, 110513144, 111653776, 110405336
 12699,  16,  16384,  11381,  11,   2,   3, 106003928, 111327824, 110325392, 111180896, 110972696
 12700,  16,  16384,  32549,   2,   2,   0, 109591472, 111038232, 110818920, 110645224, 110929256
 12701,  16,  16384,  13915,   2,   6,   3, 110772208, 110694120, 110651392, 110203392, 109148952
 12702,  16,  16384,  25668,   6,   6,   0, 110316560, 110153568, 110077072, 109015528, 110365616
 12703,  16,  16384,  28819,   6,   7,   1, 104542840, 109954232, 110354296, 109852960, 111362600
 12704,  16,  16384,  20497,   7,   7,   0, 111511672, 111403496, 111503000, 107059856, 111346936
 12705,  16,  16384,  40574,   7,   6,   1, 111265288, 111325976, 110179864, 111308096, 110200440
 12706,  16,  16384,  14778,   6,   7,   1, 109998320, 110050096, 107891504, 108910064, 111079312
 12707,  16,  16384,  39579,   7,  10,   2, 105430344, 111279992, 111312360, 111413832, 109907824
 12708,  16,  16384,  25759,  10,  11,   1, 110971200, 110836496, 110846400, 110826608, 111679944
 12709,  16,  16384,   8295,  11,  10,   1, 111474112, 111584544, 110421840, 111505800, 110881960
 12710,  16,  16384,  48326,  10,  11,   1, 111391472, 109773144, 110898232, 111284968, 111684016
 12711,  16,  16384,  21670,  11,  10,   1, 110737904, 111579544, 111381560, 110371216, 109778840
 12712,  16,  16384,  40816,  10,  23,   3, 110209952, 110857688, 109864632, 110895192, 113461696
 12713,  16,  16384,   5144,  23,   8,   3, 112280640, 111597920, 113100448, 113052104, 114030608
 12714,  16,  16384,   2592,   8,   8,   0, 113886216, 112610136, 112803624, 107475000, 113809728
 12715,  16,  16384,  23750,   8,  12,   3, 113800024, 113535696, 112237208, 112331192, 113722872
 12716,  16,  16384,  47668,  12,  12,   0, 113855552, 113497392, 113654224, 113673488, 112494048
 12717,  16,  16384,  48588,  12,  13,   1, 107541832, 113510056, 113500080, 113690936, 112611008
 12718,  16,  16384,  35623,  13,  13,   0, 113678320, 114177776, 114223440, 114042240, 114496896
 12719,  16,  16384,  37145,  13,  17,   2, 114276232, 112769352, 113947688, 113035912, 115329128
 12720,  16,  16384,  15756,  17,  17,   0, 115159800, 113495424, 116009616, 115832320, 116034632
 12721,  16,  16384,  43967,  17,  16,   1, 115932480, 115841072, 115876024, 114796608, 115243288
 12722,  16,  16384,   7056,  16,  16,   0, 115579480, 113706136, 115293232, 115234016, 115736024
 12723,  16,  16384,  36281,  16,  16,   0, 115873088, 114191152, 115430032, 114209200, 115663896
 12724,  16,  16384,   1074,  16,  15,   2, 115288456, 115415056, 115247304, 114260448, 111498384
 12725,  16,  16384,   8781,  15,  15,   0, 110650256, 111567456, 110687112, 106339152, 111531592
 12726,  16,  16384,  43082,  15,  14,   1, 111621528, 110340880, 110486944, 111673832, 110666976
 12727,  16,  16384,  43869,  14,  15,   1, 109751200, 110941904, 110858792, 109733392, 105611664
 12728,  16,  16384,  47107,  15,  23,   3, 111450032, 111546616, 110144168, 110327440, 113493544
 12729,  16,  16384,  33218,  23,  22,   1, 112041872, 113375792, 113345832, 113348096, 112450288
 12730,  16,  16384,  13265,  22,  23,   1, 111709448, 112245016, 112400744, 112506384, 106067864
 12731,  16,  16384,  42309,  23,  18,   2, 112157776, 113170824, 111839120, 113357456, 112588984
 12732,  16,  16384,  31029,  18,  18,   0, 112738728, 112547904, 110885360, 112570224, 112614992
 12733,  16,  16384,  32367,  18,  13,   3, 105460376, 112290480, 112295024, 112599576, 114164680
 12734,  16,  16384,  25811,  13,  13,   0, 114467800, 114257472, 114208176, 114233736, 114231448
 12735,  16,  16384,  12879,  13,  13,   0, 114515176, 114045992, 114059304, 114089560, 111941352
 12736,  16,  16384,  37894,  13,  13,   0, 107040248, 114231624, 114063912, 113946696, 114331712
 12737,  16,  16384,   2982,  13,  12,   1, 113032512, 114099912, 113996776, 114185456, 113027688
 12738,  16,  16384,  36508,  12,  19,   3, 113538776, 113582976, 113511624, 112520376, 113386552
 12739,  16,  16384,   4349,  19,  20,   2, 112242976, 113230968, 113343008, 111771320, 115548112
 12740,  16,  16384,   5373,  20,  22,   2, 115409288, 114372256, 115597656, 115542120, 112568304
 12741,  16,  16384,  24525,  22,  22,   0, 112604232, 112544384, 112328904, 111047232, 112438800
 12742,  16,  16384,  43950,  22,  10,   3, 111421920, 112633600, 106824936, 112395144, 109883512
 12743,  16,  16384,    431,  10,   6,   2, 110859456, 110985648, 110724888, 110960472, 110180168
 12744,  16,  16384,  44459,   6,   9,   2, 102935048, 109900464, 109852440, 110157008, 113989808
 12745,  16,  16384,  29289,   9,  19,   3, 113636344, 114239080, 111950032, 114123856, 113318848
 12746,  16,  16384,   7971,  19,  19,   0, 113266896, 112034176, 113433528, 112042264, 112124440
 12747,  16,  16384,  16406,  19,  19,   0, 113473040, 113386560, 113463808, 113408040, 107561728
 12748,  16,  16384,  14358,  19,  21,   2, 113494480, 111930744, 113033600, 112745464, 116088744
 12749,  16,  16384,   5756,  21,  21,   0, 116100480, 115759584, 115653992, 114702272, 116121616
 12750,  16,  16384,  17763,  21,  21,   0, 116140864, 115622760, 110236040, 115719392, 116031376
 12751,  16,  16384,  26463,  21,  19,   2, 111995976, 115905208, 115715840, 115966616, 113301232
 12752,  16,  16384,  27764,  19,  23,   2, 113443808, 113303304, 113142864, 113089320, 112049744
 12753,  16,  16384,  28291,  23,   4,   3, 113556024, 112044512, 113469648, 112150584, 107606400
 12754,  16,  16384,  42649,   4,   5,   1, 113613336, 113594104, 113773600, 113610288, 114265704
 12755,  16,  16384,  16401,   5,   5,   0, 112961568, 112802688, 107272320, 112175000, 114232904
 12756,  16,  16384,  38645,   5,   4,   1, 114279464, 113696056, 114023912, 113881224, 113903040
 12757,  16,  16384,  14672,   4,  12,   3, 112489552, 112439144, 113370416, 113650032, 112047128
 12758,  16,  16384,   6694,  12,  12,   0, 113737128, 113647888, 113826736, 112701600, 114201184
 12759,  16,  16384,   7807,  12,  12,   0, 113931264, 113585344, 113481824, 111418760, 112585248
 12760,  16,  16384,  40673,  12,  16,   2, 113855352, 113631320, 111106176, 109939632, 115545216
 12761,  16,  16384,   7989,  16,   9,   3, 114334936, 115474328, 115546792, 115701400, 114418000
 12762,  16,  16384,  47203,   9,   9,   0, 114282376, 112907704, 111629368, 108143400, 114217736
 12763,  16,  16384,  35205,   9,  21,   3, 114144064, 113991168, 113830160, 113924616, 116158528
 12764,  16,  16384,  32974,  21,  21,   0, 116078640, 114323624, 115890944, 109271784, 114391552
 12765,  16,  16384,  10017,  21,  22,   2, 114756104, 115817440, 115629288, 115680104, 111259472
 12766,  16,  16384,  43793,  22,  22,   0, 112796832, 112677552, 111115640, 112567256, 112583872
 12767,  16,  16384,   2015,  22,  20,   2, 110067448, 112459792, 106536536, 112268536, 114350216
 12768,  16,  16384,  25346,  20,  21,   1, 115759712, 115496968, 115275472, 115596000, 114885272
 12769,  16,  16384,   5608,  21,  18,   2, 115943736, 114676232, 113740072, 109570272, 112790416
 12770,  16,  16384,  13631,  18,  19,   1, 112711232, 112296576, 111005760, 112265800, 113269840
 12771,  16,  16384,  16527,  19,  20,   2, 113270920, 111234536, 113240936, 113505664, 114464848
 12772,  16,  16384,   2389,  20,  22,   2, 114384888, 115524584, 115138744, 108068424, 111323776
 12773,  16,  16384,  20879,  22,  21,   2, 106900432, 112136032, 112364672, 111202408, 115125864
 12774,  16,  16384,  31710,  21,  20,   1, 115387776, 113822256, 109837360, 115964056, 114502336
 12775,  16,  16384,  36709,  20,   8,   3, 109949752, 115445824, 115417248, 115291552, 112528912
 12776,  16,  16384,  34550,   8,   8,   0, 113800856, 113836240, 112355784, 113738936, 108116920
 12777,  16,  16384,   4172,   8,   2,   3, 113892968, 112629760, 112729816, 113772336, 111048040
 12778,  16,  16384,   1015,   2,   1,   2, 110763040, 110779368, 109235208, 108210896, 106645048
 12779,  16,  16384,  19190,   1,  15,   3, 114247720, 112664680, 113663432, 113947864, 111700120
 12780,  16,  16384,  10889,  15,   7,   3, 111783256, 110323984, 111418904, 111685792, 111476640
 12781,  16,  16384,  20982,   7,  17,   3, 111696920, 109823248, 110122760, 111734616, 116342720
 12782,  16,  16384,    968,  17,  17,   0, 116278880, 116262832, 115751504, 115792072, 110535560
 12783,  16,  16384,  18025,  17,  18,   3, 114642712, 115986864, 115599856, 114295344, 112592784
 12784,  16,  16384,  23888,  18,  23,   2, 112669104, 111851392, 111773464, 112590168, 112305296
 12785,  16,  16384,  42217,  23,  21,   2, 112186088, 112826424, 112921696, 113352336, 107590448
 12786,  16,  16384,  23523,  21,   7,   3, 116077776, 115748312, 114551176, 115616392, 110418760
 12787,  16,  16384,  35327,   7,   6,   1, 105486984, 111491376, 111154552, 111440632, 108675008
 12788,  16,  16384,  22693,   6,   9,   2, 104426256, 109837536, 109975016, 109869744, 114324792
 12789,  16,  16384,   4322,   9,   8,   1, 114190408, 114098440, 114037376, 114245944, 113632160
 12790,  16,  16384,  20293,   8,   7,   2, 114179400, 113853848, 113633520, 112662424, 111654624
 12791,  16,  16384,  13441,   7,   8,   2, 110348800, 111178496, 110316488, 110373176, 113960808
 12792,  16,  16384,  42512,   8,   9,   1, 113048808, 113248128, 113857600, 113781320, 107397864
 12793,  16,  16384,  21162,   9,   6,   2, 113339872, 111854056, 113984968, 114298632, 110028648
 12794,  16,  16384,   3789,   6,   8,   2, 110303512, 107581544, 110058456, 110066656, 113750576
 12795,  16,  16384,  28218,   8,   6,   2, 113889920, 113817072, 112249568, 107754032, 110050760
 12796,  16,  16384,  24644,   6,  17,   3, 110326480, 110090712, 109774744, 107848296, 115968152
 12797,  16,  16384,   9832,  17,  12,   2, 116119296, 115764824, 114353864, 114533616, 112428408
 12798,  16,  16384,   5970,  12,  17,   2, 112791792, 113917864, 113863408, 113790840, 116124616
 12799,  16,  16384,   7822,  17,  17,   0, 116235792, 115406608, 115771176, 115802440, 114790456
 12800,  16,  16384,   7633,  17,  11,   3, 116051728, 114709304, 114466776, 115899344, 110703768
 12801,  16,  16384,  21779,  11,   4,   3, 111795888, 111345768, 111569464, 111347656, 112826240
 12802,  16,  16384,  16365,   4,   5,   1, 114278168, 113677392, 113874536, 113398168, 113783488
 12803,  16,  16384,  36241,   5,   4,   1, 112719392, 112976640, 113666296, 113174424, 114015720
 12804,  16,  16384,  43739,   4,   0,   2, 113922544, 112397120, 114008240, 113688016, 113845192
 12805,  16,  16384,  48353,   0,   0,   0, 112447928, 113553328, 113470464, 110659920, 113495576
 12806,  16,  16384,    353,   0,   0,   0, 113238352, 113911776, 112648560, 113685704, 113615208
 12807,  16,  16384,  40925,   0,   1,   1, 113845248, 113355416, 112258128, 113496104, 112954208
 12808,  16,  16384,  16613,   1,  21,   3, 114032904, 114123208, 113962456, 114119904, 116034472
 12809,  16,  16384,  34981,  21,  21,   0, 116182744, 114554672, 115786216, 115459392, 114943784
 12810,  16,  16384,  40440,  21,  18,   2, 110359096, 113216656, 115864840, 115806424, 111215024
 12811,  16,  16384,   5773,  18,   6,   3, 112507104, 111234944, 112416752, 112564632, 109015792
 12812,  16,  16384,  20173,   6,   1,   3, 108702776, 110044736, 110355616, 110125464, 113633728
 12813,  16,  16384,  30386,   1,   2,   2, 113939304, 113812672, 114322048, 113852576, 110786456
 12814,  16,  16384,  41022,   2,   3,   1, 111120632, 108956136, 110533488, 104770216, 110471792
 12815,  16,  16384,  21242,   3,   1,   2, 111606128, 111308672, 111171968, 105079384, 114417112
 12816,  16,  16384,  36037,   1,   4,   2, 112958384, 113919752, 113880456, 112683304, 113607472
 12817,  16,  16384,   2338,   4,   4,   0, 113067640, 113853112, 113797312, 112677864, 112723608
 12818,  16,  16384,  18379,   4,   5,   1, 113867424, 113806144, 113653816, 113909008, 107817656
 12819,  16,  16384,  33373,   5,   3,   2, 112890480, 114271616, 112849552, 112887536, 108867720
 12820,  16,  16384,  49091,   3,   5,   2, 107699400, 111636560, 111473696, 111253344, 114149456
 12821,  16,  16384,  35127,   5,   5,   0, 114217944, 107648984, 112698160, 112756808, 112848360
 12822,  16,  16384,  13782,   5,   3,   2, 114126208, 114210168, 114067424, 114165608, 111522536
 12823,  16,  16384,  37630,   3,   1,   2, 110677872, 110041648, 110084416, 111610136, 113381544
 12824,  16,  16384,  22464,   1,  17,   3, 107450808, 112970640, 113668480, 113949760, 116214640
 12825,  16,  16384,   6560,  17,  17,   0, 116339800, 115762336, 114513720, 115897424, 115979928
 12826,  16,  16384,  31558,  17,  16,   1, 115965776, 115701936, 107685128, 115396000, 115623696
 12827,  16,  16384,  25483,  16,  11,   3, 115480032, 115132464, 115173072, 115375000, 110656024
 12828,  16,  16384,  16410,  11,   7,   2, 111141664, 105357160, 111379328, 111485944, 111374792
 12829,  16,  16384,  44384,   7,   3,   3, 111899280, 111439088, 111832576, 105121672, 110266064
 12830,  16,  16384,  31866,   3,   3,   0, 111710648, 109894120, 110445680, 109663304, 111309080
 12831,  16,  16384,  41282,   3,   1,   2, 111542464, 111475288, 111387544, 111315232, 114184120
 12832,  16,  16384,   8736,   1,   1,   0, 114201712, 112809760, 113989840, 114245648, 114050504
 12833,  16,  16384,   2100,   1,   5,   2, 114148384, 110784496, 107502432, 114031120, 114117128
 12834,  16,  16384,  29200,   5,   5,   0, 114130784, 113861152, 113777064, 113769496, 114113384
 12835,  16,  16384,  44248,   5,   3,   2, 113999704, 113817480, 113656016, 108586304, 111328840
 12836,  16,  16384,  49515,   3,   0,   2, 111633672, 111361200, 111327088, 111288568, 107618504
 12837,  16,  16384,  32940,   0,   0,   0, 113722032, 111319264, 113788144, 113672680, 112382152
 12838,  16,  16384,   7175,   0,   0,   0, 113868240, 113756600, 113713160, 113673464, 114009136
 12839,  16,  16384,   3713,   0,   1,   1, 113735256, 112151592, 107442568, 112433480, 114085856
 12840,  16,  16384,  46542,   1,   0,   1, 113734112, 112326048, 113382224, 112836896, 113737280
 12841,  16,  16384,  13181,   0,  15,   3, 113817616, 113572472, 113720648, 112425592, 110288016
 12842,  16,  16384,   1783,  15,  15,   0, 111723752, 111607600, 111614360, 111462136, 111517688
 12843,  16,  16384,  30211,  15,  17,   2, 111468056, 110302992, 110303280, 111457224, 116165432
 12844,  16,  16384,  35927,  17,  16,   1, 115916696, 114515520, 116011912, 115812872, 114196160
 12845,  16,  16384,  46428,  16,  13,   2, 115705384, 115197048, 114100976, 115396552, 114302904
 12846,  16,  16384,  49639,  13,  14,   2, 114341920, 113925312, 113182592, 114509704, 111105416
 12847,  16,  16384,  26056,  14,  15,   1, 109793936, 109662248, 109793680, 111042160, 111613712
 12848,  16,  16384,   9160,  15,  14,   1, 111986080, 111812624, 110451176, 104909128, 111266200
 12849,  16,  16384,  40652,  14,  12,   2, 105062832, 110750480, 109737792, 109722024, 113755368
 12850,  16,  16384,  44351,  12,   0,   3, 113621296, 114041360, 113569296, 113500496, 107592656
 12851,  16,  16384,  35274,   0,  21,   3, 113925648, 113528664, 112142384, 110940640, 115048800
 12852,  16,  16384,  43911,  21,  21,   0, 115930624, 115934568, 115817640, 110924800, 116010272
 12853,  16,  16384,  27742,  21,   0,   3, 114797168, 115805304, 114861720, 114494560, 110944016
 12854,  16,  16384,  44117,   0,   1,   1, 113797536, 113811328, 113615488, 113781232, 113996000
 12855,  16,  16384,  31286,   1,   8,   3, 112991472, 108004664, 114015512, 113175240, 111251680
 12856,  16,  16384,   7316,   8,  23,   3, 106739768, 113775304, 113864504, 113865672, 113504392
 12857,  16,  16384,  32152,  23,  22,   1, 113452040, 111658792, 112227848, 107524488, 112664536
 12858,  16,  16384,  45310,  22,   0,   3, 107981224, 110050064, 111194848, 112560168, 113964640
 12859,  16,  16384,  26595,   0,   4,   2, 112383632, 113659376, 113634264, 113911944, 114131848
 12860,  16,  16384,   3803,   4,   5,   1, 113785408, 113889280, 113591536, 112616136, 114209616
 12861,  16,  16384,  48788,   5,   5,   0, 114316352, 114065032, 114123240, 113922768, 112966296
 12862,  16,  16384,  10428,   5,   5,   0, 114484136, 114237168, 112993952, 112786856, 114258904
 12863,  16,  16384,   8877,   5,   4,   1, 112923152, 113567752, 114008696, 114005552, 113728200
 12864,  16,  16384,  20118,   4,  13,   3, 114274512, 113556112, 113704616, 113527816, 114287928
 12865,  16,  16384,  36051,  13,  12,   1, 108444256, 114270944, 113748800, 113471080, 113898728
 12866,  16,  16384,  16426,  12,  23,   3, 105533856, 113974216, 112723152, 113523376, 111943024
 12867,  16,  16384,  45717,  23,  22,   1, 112282600, 113272272, 113465688, 113142496, 111311240
 12868,  16,  16384,  19609,  22,  23,   1, 112671616, 112331432, 112391688, 111291912, 107809328
 12869,  16,  16384,  28256,  23,  18,   2, 112042544, 111820256, 112944680, 113237280, 112659616
 12870,  16,  16384,  11914,  18,   6,   3, 111534168, 112309640, 106590600, 112482392, 109209432
 12871,  16,  16384,  20293,   6,   6,   0, 110002184, 110148112, 110151008, 110082440, 110150192
 12872,  16,  16384,  19791,   6,   7,   1, 109998416, 104281744, 110041720, 108944072, 110115024
 12873,  16,  16384,  33331,   7,   8,   2, 110316336, 111655488, 111481368, 110401296, 113801096
 12874,  16,  16384,   9710,   8,  11,   2, 114029952, 113575192, 113642176, 112474376, 111366264
 12875,  16,  16384,  24177,  11,  10,   1, 111688312, 111473416, 105584312, 111411896, 110962488
 12876,  16,  16384,  47552,  10,   7,   2, 111138504, 110957408, 110900944, 110957968, 111441712
 12877,  16,  16384,  22218,   7,   7,   0, 111480824, 111340464, 111371672, 110370608, 111386536
 12878,  16,  16384,  22287,   7,  18,   3, 111642832, 110366320, 103101408, 110387416, 112579848
 12879,  16,  16384,  49253,  18,  21,   2, 112825296, 110948600, 111302512, 112444888, 115753360
 12880,  16,  16384,  41547,  21,  20,   1, 115225976, 116084496, 114790688, 115712096, 115881376
 12881,  16,  16384,   9416,  20,  21,   1, 115660968, 115347224, 115253112, 115326904, 116153448
 12882,  16,  16384,  48604,  21,   7,   3, 115988040, 114685576, 116024256, 114856600, 110093792
 12883,  16,  16384,  27068,   7,  13,   3, 111311512, 111175024, 111457136, 111386336, 114043984
 12884,  16,  16384,   4027,  13,  13,   0, 114170184, 113891456, 113041888, 113971528, 113091968
 12885,  16,  16384,  21292,  13,  12,   1, 114268856, 114470240, 114269784, 106942872, 113650088
 12886,  16,  16384,   8243,  12,  12,   0, 114093552, 113711336, 111387872, 113634392, 114006928
 12887,  16,  16384,    148,  12,  10,   3, 111486920, 113511864, 113504296, 107585352, 110879640
 12888,  16,  16384,  20766,  10,   4,   3, 109754832, 104970408, 110982464, 110930224, 107921128
 12889,  16,  16384,   2126,   4,   4,   0, 112599936, 113707904, 113580032, 112698888, 114156504
 12890,  16,  16384,  42880,   4,   5,   1, 113918032, 112700312, 113815592, 113712568, 114077560
 12891,  16,  16384,  48842,   5,   5,   0, 114274632, 113843456, 114072824, 107732800, 113902768
 12892,  16,  16384,  38719,   5,   3,   2, 113956472, 114082128, 113806848, 111826960, 111740784
 12893,  16,  16384,  15128,   3,   4,   2, 110230704, 111402680, 111254368, 111416048, 113781560
 12894,  16,  16384,   4019,   4,   4,   0, 114244736, 112521992, 113631272, 112835552, 113880424
 12895,  16,  16384,  18110,   4,   4,   0, 114250352, 113653896, 112633312, 113464976, 113878632
 12896,  16,  16384,  17706,   4,   4,   0, 113685760, 105006200, 113626472, 113957744, 112431560
 12897,  16,  16384,  28157,   4,   4,   0, 112663080, 113977936, 113988728, 114013528, 113242344
 12898,  16,  16384,  18179,   4,   4,   0, 114063240, 113678576, 113651960, 113754520, 106304488
 12899,  16,  16384,  47588,   4,   0,   2, 113948752, 113497936, 112458952, 112683072, 113792488
 12900,  16,  16384,  34209,   0,   1,   1, 113975888, 112677952, 113673160, 113590048, 114075992
 12901,  16,  16384,  49138,   1,   8,   3, 114147112, 113837288, 113949424, 111732216, 113672056
 12902,  16,  16384,  38982,   8,  15,   3, 112599872, 113560128, 107616168, 113535200, 112062120
 12903,  16,  16384,  36425,  15,  14,   1, 111460720, 108577976, 110994824, 110415600, 111144216
 12904,  16,  16384,  12897,  14,   3,   3, 111253808, 109579904, 109964168, 110983448, 110605688
 12905,  16,  16384,  38268,   3,   3,   0, 110063384, 111362208, 111372040, 110380120, 105429048
 12906,  16,  16384,  19255,   3,  13,   3, 111497928, 111125992, 111379576, 111200480, 113175744
 12907,  16,  16384,  40747,  13,  13,   0, 114397640, 113878144, 114204552, 114113552, 113369408
 12908,  16,  16384,  12562,  13,  14,   2, 114302688, 114159680, 108297912, 113951088, 111105288
 12909,  16,  16384,  25271,  14,  15,   1, 109642720, 110711536, 110627128, 110224208, 111418528
 12910,  16,  16384,  28682,  15,  15,   0, 111905304, 110734640, 109144816, 111712304, 111708536
 12911,  16,  16384,  43619,  15,  11,   3, 111712976, 111661264, 111415144, 111560024, 111255488
 12912,  16,  16384,  19660,  11,  10,   1, 111747832, 111539064, 111524264, 110218672, 110977512
 12913,  16,  16384,   4317,  10,  21,   3, 110406400, 110321624, 110884808, 109913856, 116215816
 12914,  16,  16384,  38338,  21,  20,   1, 116031256, 115722504, 115820488, 114515064, 108342048
 12915,  16,  16384,  27617,  20,  19,   2, 115505624, 115197760, 114746392, 114562024, 111778672
 12916,  16,  16384,  31765,  19,   8,   3, 113372992, 112152128, 113404656, 113168952, 113886648
 12917,  16,  16384,  35334,   8,   6,   2, 112416624, 112457992, 113816864, 113721720, 110225328
 12918,  16,  16384,  35071,   6,  11,   2, 108914088, 109430392, 109815392, 110446392, 112204640
 12919,  16,  16384,  22527,  11,  17,   3, 111719896, 111037976, 110295712, 110397112, 116041384
 12920,  16,  16384,  25514,  17,  16,   1, 116095184, 114649424, 115674912, 115813168, 112555184
 12921,  16,  16384,  25566,  16,  19,   3, 115285928, 113925600, 115248760, 114063056, 107735240
 12922,  16,  16384,  45095,  19,  20,   2, 113505864, 113272344, 111818032, 111600624, 115740688
 12923,  16,  16384,  36282,  20,  22,   2, 115722792, 115488536, 115319584, 114084320, 112647544
 12924,  16,  16384,  23255,  22,  11,   3, 111429680, 112598072, 112418680, 112546304, 110113656
 12925,  16,  16384,  49442,  11,  10,   1, 111516736, 111582696, 111286320, 111451712, 110331264
 12926,  16,  16384,  21555,  10,  20,   3, 110702424, 111241528, 110695680, 110963576, 115804928
 12927,  16,  16384,  20053,  20,  18,   2, 114301272, 114114880, 110891440, 115250352, 107114608
 12928,  16,  16384,  31186,  18,  19,   1, 112630072, 111741768, 111518960, 112454856, 113342264
 12929,  16,  16384,  42132,  19,  23,   2, 113226440, 110406968, 112952352, 113308592, 112998888
 12930,  16,  16384,  25295,  23,  23,   0, 113280560, 112140384, 113370680, 113240208, 113394688
 12931,  16,  16384,  43496,  23,  19,   2, 113611344, 113157688, 107403992, 110578240, 113526448
 12932,  16,  16384,  12185,  19,  22,   2, 112295472, 113123840, 112797440, 111758448, 107560256
 12933,  16,  16384,  34551,  22,  22,   0, 111768248, 112558192, 112407688, 112283208, 112377960
 12934,  16,  16384,  41034,  22,  20,   2, 112749496, 112526616, 112476368, 112499992, 115398872
 12935,  16,  16384,   5058,  20,  20,   0, 114676288, 115649880, 115566208, 114041792, 115584440
 12936,  16,  16384,  49781,  20,  19,   2, 114612952, 115099216, 115325408, 115174280, 112115152
 12937,  16,  16384,   1987,  19,  19,   0, 113423168, 112989480, 107551752, 113335872, 113443928
 12938,  16,  16384,  24165,  19,  19,   0, 113349664, 110503344, 113200272, 113312248, 112024760
 12939,  16,  16384,  41282,  19,  19,   0, 113115272, 112047872, 113050216, 113030712, 113368984
 12940,  16,  16384,  25280,  19,  18,   1, 107811560, 113069280, 113102448, 110729448, 112626016
 12941,  16,  16384,  26963,  18,  19,   1, 112718328, 112391408, 112444128, 112418024, 113373424
 12942,  16,  16384,  39763,  19,  18,   1, 113740896, 113288816, 113244992, 107560296, 112896192
 12943,  16,  16384,  36104,  18,  18,   0, 106879168, 112193880, 112265616, 112470696, 112621384
 12944,  16,  16384,   4508,  18,  19,   1, 111347936, 112354960, 112500232, 112681648, 107773056
 12945,  16,  16384,   7018,  19,  11,   3, 110871296, 113321504, 113024264, 113198072, 111425160
 12946,  16,  16384,  41064,  11,   7,   2, 110819368, 110722208, 111534112, 111294384, 109999328
 12947,  16,  16384,    243,   7,  17,   3, 111387360, 111455200, 103923128, 110230496, 114866976
 12948,  16,  16384,  20222,  17,  16,   1, 116112160, 115884856, 116049816, 114592336, 115590912
 12949,  16,  16384,  28203,  16,  16,   0, 115793056, 114029264, 115250040, 106571432, 115421696
 12950,  16,  16384,  34165,  16,   3,   3, 115586536, 115207616, 115492056, 114192888, 111583040
 12951,  16,  16384,  34652,   3,   2,   1, 111485792, 110461864, 110176480, 105493368, 111041168
 12952,  16,  16384,  12932,   2,   2,   0, 110651752, 110812064, 109434664, 110880712, 110665520
 12953,  16,  16384,  17305,   2,   2,   0, 110790200, 110643112, 110744400, 110994152, 108073504
 12954,  16,  16384,  39218,   2,   5,   2, 109421576, 105012768, 110717528, 110641104, 113934416
 12955,  16,  16384,  34285,   5,   5,   0, 114003648, 113995576, 112779240, 114029536, 112749008
 12956,  16,  16384,   3657,   5,   1,   2, 114261584, 114235520, 113284928, 113264264, 113928920
 12957,  16,  16384,  27054,   1,   5,   2, 113050264, 114105664, 113931200, 107523472, 106741528
 12958,  16,  16384,  10169,   5,   4,   1, 114002592, 113920480, 113492792, 113233960, 113993728
 12959,  16,  16384,   4475,   4,   4,   0, 112660440, 112777200, 113803568, 112907568, 113818648
 12960,  16,  16384,  44331,   4,   5,   1, 113952464, 113760360, 113587304, 113536664, 112880048
 12961,  16,  16384,   2302,   5,   4,   1, 114142384, 114134360, 112798464, 114115168, 114087936
 12962,  16,  16384,  11701,   4,   5,   1, 112659552, 113773512, 113773664, 113588296, 113825208
 12963,  16,  16384,  29065,   5,  16,   3, 113799800, 113960456, 112550712, 113857552, 109701816
 12964,  16,  16384,  12753,  16,  16,   0, 115322656, 115474752, 114107712, 115278016, 115743544
 12965,  16,  16384,  20962,  16,  21,   3, 115821144, 115595856, 114349808, 115427408, 116316496
 12966,  16,  16384,   6927,  21,  20,   1, 116200184, 110067928, 114470776, 116204264, 114267784
 12967,  16,  16384,  37759,  20,  11,   3, 115633024, 115175856, 115455544, 115213744, 111721672
 12968,  16,  16384,  46099,  11,  19,   3, 110211432, 110802960, 111213048, 111492328, 113542840
 12969,  16,  16384,  42509,  19,  18,   1, 113441240, 112159912, 113134792, 113337848, 112539424
 12970,  16,  16384,   4511,  18,  23,   2, 112596360, 112580664, 112339600, 106628736, 113237568
 12971,  16,  16384,  22970,  23,  23,   0, 113503464, 113248976, 111822640, 112944656, 113384904
 12972,  16,  16384,  15449,  23,   7,   3, 113567328, 112002776, 111951208, 113499736, 105497328
 12973,  16,  16384,  26703,   7,   4,   3, 111283944, 109905384, 111117280, 111421680, 113538240
 12974,  16,  16384,  14460,   4,  16,   3, 113837656, 112578600, 113612696, 113536456, 114436360
 12975,  16,  16384,  10557,  16,  12,   2, 114270744, 115203208, 114342224, 115422832, 113836344
 12976,  16,  16384,  11204,  12,  14,   2, 107828512, 113670320, 112541776, 113390592, 110843816
 12977,  16,  16384,   2961,  14,  14,   0, 111004120, 110981912, 110861192, 109503024, 110598144
 12978,  16,  16384,  17898,  14,  14,   0, 110809896, 110824264, 110629720, 103651144, 110999704
 12979,  16,  16384,  36111,  14,  13,   2, 109799368, 110768488, 110723944, 110799520, 114271712
 12980,  16,  16384,  38381,  13,  12,   1, 114378664, 113859424, 113008320, 112837328, 113492336
 12981,  16,  16384,  34999,  12,  13,   1, 113768616, 112526448, 113392664, 112472760, 114177792
 12982,  16,  16384,  45225,  13,  22,   3, 114606512, 114431168, 114157640, 113509064, 112647448
 12983,  16,  16384,  18349,  22,  15,   3, 108971240, 112472472, 111247656, 112631272, 110484264
 12984,  16,  16384,  48133,  15,  20,   3, 111639008, 111644208, 111516896, 111439680, 115670432
 12985,  16,  16384,  16029,  20,  13,   3, 114868952, 115147784, 115320768, 115147272, 114379008
 12986,  16,  16384,  43004,  13,  13,   0, 114101912, 114149968, 113989984, 113717896, 114325128
 12987,  16,  16384,  23048,  13,  12,   1, 114363400, 112728392, 111504808, 113242488, 113960048
 12988,  16,  16384,  37111,  12,   0,   3, 112695200, 113167240, 113625288, 112428056, 113059752
 12989,  16,  16384,  31748,   0,   4,   2, 113587752, 107475744, 112520064, 113787048, 114083728
 12990,  16,  16384,  35610,   4,  13,   3, 114305160, 114021608, 112639640, 114147672, 114154032
 12991,  16,  16384,  33365,  13,  19,   3, 114371120, 114103832, 114234512, 114124048, 113673048
 12992,  16,  16384,  45694,  19,   3,   3, 111861544, 111821408, 111840672, 107677360, 111340048
 12993,  16,  16384,  14408,   3,   2,   1, 110520592, 111516288, 111370976, 111317408, 110814776
 12994,  16,  16384,  35629,   2,  19,   3, 109633976, 104732216, 110574488, 110613024, 113449912
 12995,  16,  16384,   6787,  19,  18,   1, 107799592, 113424864, 111758760, 111842352, 112527680
 12996,  16,  16384,  39639,  18,  11,   3, 110000104, 112348968, 112614544, 105078584, 111712112
 12997,  16,  16384,  30409,  11,   9,   2, 111621224, 111313264, 110195240, 111623872, 113892824
 12998,  16,  16384,   8343,   9,   7,   2, 114182200, 113881880, 112873904, 113237856, 111438872
 12999,  16,  16384,   7037,   7,  10,   2, 111781968, 111584912, 111263840, 111667216, 110864352
 13000,  16,  16384,  29491,  10,  11,   1, 111165992, 110767168, 110891040, 110848704, 111536232
 13001,  16,  16384,    455,  11,   1,   3, 111762592, 111319768, 111441864, 111461488, 114188640
 13002,  16,  16384,  32939,   1,  20,   3, 114150800, 113891568, 112822712, 112593624, 115707216
 13003,  16,  16384,  46723,  20,  23,   2, 114446032, 115395136, 114092152, 115602568, 113402488
 13004,  16,  16384,  25412,  23,  21,   2, 113498128, 111655824, 113461488, 113311800, 116273640
 13005,  16,  16384,  20336,  21,  21,   0, 115920224, 114432488, 115679232, 115674072, 110077024
 13006,  16,  16384,  17577,  21,  13,   3, 116270328, 115083856, 115593896, 116061968, 114288944
 13007,  16,  16384,   2291,  13,  13,   0, 108080696, 113907448, 114038168, 114312824, 113079160
 13008,  16,  16384,  49394,  13,  23,   3, 113207928, 114282824, 114388816, 113014056, 113543320
 13009,  16,  16384,  22552,  23,   0,   3, 111699648, 112419528, 107486464, 113041096, 113340480
 13010,  16,  16384,  24835,   0,   4,   2, 112429408, 114023376, 113700096, 107644104, 114002576
 13011,  16,  16384,  32274,   4,   3,   2, 112473840, 112742792, 112583400, 113877408, 111537720
 13012,  16,  16384,  11139,   3,  18,   3, 110422832, 111394088, 111471432, 111319376, 111307208
 13013,  16,  16384,  46686,  18,  18,   0, 112469104, 112266368, 112310872, 112240424, 111088024
 13014,  16,  16384,  38515,  18,   3,   3, 112682696, 112383880, 110146432, 112386608, 111778072
 13015,  16,  16384,  11066,   3,  23,   3, 111539080, 111357488, 103919680, 111302464, 112199728
 13016,  16,  16384,   2494,  23,  11,   3, 113713536, 113320752, 108825112, 110684112, 111582056
 13017,  16,  16384,  32361,  11,  11,   0, 111713888, 111636032, 111488936, 111451392, 110997656
 13018,  16,  16384,   9080,  11,  10,   1, 111384288, 111716840, 111639032, 105491440, 110323552
 13019,  16,  16384,   7075,  10,  11,   1, 110426792, 110908432, 110500536, 109884600, 111479888
 13020,  16,  16384,  39131,  11,  10,   1, 110357752, 111316248, 110309744, 111689432, 110574528
 13021,  16,  16384,   4199,  10,  15,   3, 110203424, 109498632, 110819112, 110651536, 105744984
 13022,  16,  16384,   5863,  15,  17,   2, 111878528, 111483520, 110607080, 111535704, 116032288
 13023,  16,  16384,  46596,  17,  13,   2, 116304000, 114782544, 116056928, 114940576, 114045696
 13024,  16,  16384,     46,  13,  12,   1, 114463056, 113950920, 114122856, 111765728, 113936744
 13025,  16,  16384,  21737,  12,  13,   1, 112846536, 113565352, 111464592, 113614320, 113111472
 13026,  16,  16384,  42360,  13,  13,   0, 112916944, 114203632, 113784440, 113972832, 113227192
 13027,  16,  16384,  41571,  13,  13,   0, 112951512, 114005904, 114232128, 114295488, 114165256
 13028,  16,  16384,   8303,  13,   6,   3, 110049720, 109989808, 113902256, 114134904, 110382672
 13029,  16,  16384,  11988,   6,  14,   3, 104399336, 109935880, 110319576, 109910592, 104811416
 13030,  16,  16384,  44346,  14,  14,   0, 111126520, 109763200, 110985688, 110847736, 111248720
 13031,  16,  16384,  10207,  14,  14,   0, 110412896, 109352960, 110783248, 109564552, 110665832
 13032,  16,  16384,  41185,  14,  14,   0, 111091056, 110824736, 104689600, 110743664, 111019720
 13033,  16,  16384,  22734,  14,  14,   0, 110813144, 110749720, 110996168, 108144392, 111021424
 13034,  16,  16384,  36264,  14,  18,   3, 109685928, 111051744, 111163280, 110537080, 111426880
 13035,  16,  16384,  40591,  18,  19,   1, 112875768, 112477648, 112486408, 112406400, 113630152
 13036,  16,  16384,  42375,  19,  19,   0, 113493520, 113439216, 113242928, 113207992, 113492456
 13037,  16,  16384,  27218,  19,  16,   3, 113402624, 113098776, 105248064, 113303856, 114331144
 13038,  16,  16384,  19577,  16,  10,   3, 115563936, 115522888, 115499552, 115229824, 111058808
 13039,  16,  16384,   5736,  10,  11,   1, 110980776, 110590080, 110928184, 110753936, 110727024
 13040,  16,  16384,  24561,  11,  11,   0, 110242544, 111471280, 110587744, 111508248, 111856648
 13041,  16,  16384,  25865,  11,   4,   3, 111581472, 111622184, 111729232, 111587976, 111695816
 13042,  16,  16384,  12127,   4,  23,   3, 114175936, 113467976, 113022904, 107707872, 113480128
 13043,  16,  16384,   2717,  23,  23,   0, 113296200, 113134960, 113311504, 113029456, 112185584
 13044,  16,  16384,  18865,  23,   5,   3, 113304232, 108362368, 112233760, 113069968, 110260544
 13045,  16,  16384,  44464,   5,   0,   2, 112094944, 113986360, 113722368, 114095808, 113806752
 13046,  16,  16384,  28673,   0,  22,   3, 112638384, 113742112, 112721936, 112596016, 112610576
 13047,  16,  16384,   4452,  22,  23,   1, 111541704, 112566264, 106435856, 111298200, 113085352
 13048,  16,  16384,  41950,  23,  23,   0, 113590672, 113173384, 111860544, 113046896, 113722048
 13049,  16,  16384,  22739,  23,  12,   3, 107731480, 110784968, 113283408, 111986016, 113637800
 13050,  16,  16384,  11330,  12,  12,   0, 113725080, 113414024, 112468864, 113426144, 113869992
 13051,  16,  16384,   9459,  12,  13,   1, 114057216, 113420608, 106373520, 113649976, 114242832
 13052,  16,  16384,  26625,  13,  13,   0, 114413312, 113978720, 114078608, 114115176, 113953680
 13053,  16,  16384,  31117,  13,  12,   1, 114119808, 114044984, 108017408, 114039200, 113712872
 13054,  16,  16384,  40975,  12,  17,   2, 113705896, 112447560, 113884432, 113919464, 116136896
 13055,  16,  16384,  28368,  17,  22,   3, 110452776, 115041840, 115279760, 114550184, 111632368
 13056,  16,  16384,   9876,  22,  15,   3, 112568904, 112521688, 106439400, 110430984, 111422120
 13057,  16,  16384,  46598,  15,  12,   2, 111752024, 110313496, 105621736, 111366000, 113722616
 13058,  16,  16384,  40845,  12,   4,   3, 113559320, 105836720, 113629512, 113715000, 112584664
 13059,  16,  16384,  22661,   4,  16,   3, 112947344, 113882064, 113878568, 107817344, 115538168
 13060,  16,  16384,  13635,  16,  17,   1, 115646056, 109479616, 115412136, 114167392, 115835344
 13061,  16,  16384,  46760,  17,  17,   0, 116119920, 115851080, 115953624, 115905576, 116343672
 13062,  16,  16384,  15050,  17,   2,   3, 109229016, 116063440, 114396880, 115906040, 110850240
 13063,  16,  16384,  24926,   2,  18,   3, 108727704, 110731312, 110594488, 110489520, 112541576
 13064,  16,  16384,  21522,  18,  19,   1, 112582464, 111151240, 111419224, 112634496, 113078240
 13065,  16,  16384,  28010,  19,   5,   3, 113782440, 113171040, 113048512, 111915144, 112863624
 13066,  16,  16384,    761,   5,   3,   2, 113915584, 114049480, 113965120, 113025952, 111615944
 13067,  16,  16384,  10644,   3,   8,   3, 110639448, 105898984, 111462328, 111361104, 113871000
 13068,  16,  16384,  20794,   8,   2,   3, 113694520, 107650888, 112439816, 113757920, 109693616
 13069,  16,  16384,  42317,   2,   3,   1, 111097568, 110935504, 110912160, 105107776, 111583264
 13070,  16,  16384,   1016,   3,  19,   3, 111292128, 110735440, 111431936, 110176488, 113524112
 13071,  16,  16384,   8856,  19,  16,   3, 110335512, 111160296, 109184744, 113017536, 115469184
 13072,  16,  16384,  39359,  16,  14,   2, 109557984, 115547336, 115579680, 115190632, 111001552
 13073,  16,  16384,  49824,  14,  11,   3, 111046776, 110921176, 109081624, 105563824, 111896760
 13074,  16,  16384,  17692,  11,   6,   2, 110273880, 111127360, 111733184, 111444008, 110289224
 13075,  16,  16384,  37007,   6,   9,   2, 110151224, 109011304, 110057736, 110085048, 107971344
 13076,  16,  16384,  38023,   9,  10,   2, 114157464, 112670880, 114123568, 113072288, 110961664
 13077,  16,  16384,  44130,  10,   9,   2, 111103816, 109800192, 108509752, 107044368, 114062936
 13078,  16,  16384,  48327,   9,   8,   1, 111690768, 110665568, 114181400, 113090416, 114162928
 13079,  16,  16384,  22358,   8,   6,   2, 112825648, 113648312, 113374248, 106474928, 110050096
 13080,  16,  16384,  31273,   6,   6,   0, 108872008, 110306832, 110225968, 109836960, 109059952
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 13082,  16,  16384,   8220,  10,  10,   0, 105061416, 110859000, 110899536, 109705584, 110672888
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 13084,  16,  16384,   5218,   7,   6,   1, 105581320, 111251216, 111164536, 111203856, 110331160
 13085,  16,  16384,  16840,   6,   6,   0, 108282080, 109567176, 110128784, 110101296, 110187264
 13086,  16,  16384,   8642,   6,   0,   3, 110241056, 108815768, 103909864, 110139312, 113644080
 13087,  16,  16384,  18556,   0,  11,   3, 113751528, 113708320, 112825104, 113235936, 111451960
 13088,  16,  16384,  40015,  11,   6,   2, 111826272, 110462288, 105398648, 111395400, 109817392
 13089,  16,  16384,   3674,   6,   7,   1, 110096256, 108827328, 110167280, 109939000, 110101552
 13090,  16,  16384,   4142,   7,   6,   1, 110335792, 111336144, 111373672, 111405248, 110245272
 13091,  16,  16384,  38627,   6,   7,   1, 109037672, 107943064, 106128320, 109962728, 111460648
 13092,  16,  16384,  26136,   7,  18,   3, 111652408, 110150112, 110038008, 111510456, 112607008
 13093,  16,  16384,   8049,  18,   4,   3, 112562824, 112660544, 106422576, 110891904, 113718984
 13094,  16,  16384,  28505,   4,   5,   1, 113917928, 113772624, 112668880, 114144312, 108090928
 13095,  16,  16384,  14909,   5,   5,   0, 113346312, 113727448, 113896352, 113823832, 113922920
 13096,  16,  16384,  10012,   5,  11,   3, 114276864, 113237232, 113479224, 112548264, 109594032
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 13098,  16,  16384,  25218,   7,  11,   2, 110367360, 106671168, 111346024, 110278776, 111626456
 13099,  16,  16384,  41560,  11,  11,   0, 111649448, 111485400, 110411136, 110445096, 111860080
 13100,  16,  16384,  22756,  11,   9,   2, 110417040, 105489168, 111278336, 110292848, 114192312
 13101,  16,  16384,  39042,   9,  16,   3, 114109968, 106798488, 114120200, 113751896, 115877968
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 13103,  16,  16384,  22830,  16,  17,   1, 115502576, 115336208, 114145472, 115434312, 114574872
 13104,  16,  16384,  47346,  17,  17,   0, 113331736, 116359744, 115907776, 109827824, 115904280
 13105,  16,  16384,  48628,  17,  10,   3, 116038248, 115745872, 115630648, 116027144, 110978264
 13106,  16,  16384,  40807,  10,  10,   0, 111012432, 110915072, 110839960, 109784136, 103814128
 13107,  16,  16384,   6689,  10,  11,   1, 110752672, 110319160, 110866760, 110678520, 111661032
 13108,  16,  16384,  34073,  11,  11,   0, 111752848, 110238000, 111301888, 109936936, 109729448
 13109,  16,  16384,  26898,  11,  10,   1, 106427728, 111327064, 111156904, 111215472, 111078056
 13110,  16,  16384,  39384,  10,  11,   1, 111137472, 111066576, 110992072, 110662648, 109780368
 13111,  16,  16384,  42887,  11,  16,   3, 111808040, 109013784, 106530120, 111472448, 115547048
 13112,  16,  16384,  44657,  16,  14,   2, 115765976, 114106416, 115507992, 113899192, 110801608
 13113,  16,  16384,  39900,  14,  15,   1, 111245824, 110961328, 109606960, 108943888, 111511080
 13114,  16,  16384,  25850,  15,   4,   3, 111850680, 111478464, 111391024, 111600104, 113705744
 13115,  16,  16384,  26305,   4,   4,   0, 107867216, 113788048, 113636144, 113672096, 112742352
 13116,  16,  16384,   7933,   4,   5,   1, 113413384, 112591440, 113965200, 112434400, 114038688
 13117,  16,  16384,  45003,   5,   4,   1, 114565744, 105572480, 113460360, 113893888, 113862304
 13118,  16,  16384,  41122,   4,   4,   0, 112679112, 113810232, 113850192, 112704672, 112809728
 13119,  16,  16384,  42354,   4,  20,   3, 112743704, 113993136, 113783384, 113603936, 114363520
 13120,  16,  16384,  31295,  20,   1,   3, 115850216, 115630368, 114098712, 114076136, 112874352
 13121,  16,  16384,  34390,   1,  10,   3, 113352344, 113959672, 114256152, 113032208, 111184072
 13122,  16,  16384,  39942,  10,  12,   3, 109976416, 109845888, 108380016, 111110240, 113960648
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 13124,  16,  16384,  31858,  14,  10,   3, 111071504, 110824224, 109648240, 110282032, 111000040
 13125,  16,  16384,  21462,  10,   8,   2, 111233096, 111112048, 110917280, 110924032, 114000096
 13126,  16,  16384,  35192,   8,  11,   2, 113004464, 113513496, 112587912, 113950800, 111623344
 13127,  16,  16384,   3584,  11,  10,   1, 110893224, 111043992, 105512664, 111333672, 110551864
 13128,  16,  16384,  21541,  10,  11,   1, 111098584, 110896200, 110605880, 110761312, 110450400
 13129,  16,  16384,  38105,  11,  11,   0, 111504056, 111638576, 111324296, 111395888, 105388256
 13130,  16,  16384,  44408,  11,  11,   0, 111508424, 111496320, 111191968, 110341832, 110373992
 13131,  16,  16384,  16233,  11,  11,   0, 110696280, 110376296, 111445768, 111643624, 111671512
 13132,  16,  16384,  40969,  11,   8,   2, 111580400, 111315616, 105434616, 111453376, 112948104
 13133,  16,  16384,  27385,   8,   9,   1, 113667712, 113143800, 112869560, 112521672, 114296600
 13134,  16,  16384,  28893,   9,   1,   3, 113687488, 113627376, 114235944, 108091560, 113921536
 13135,  16,  16384,    977,   1,  20,   3, 114063896, 114039832, 113946720, 114084016, 114375920
 13136,  16,  16384,   8196,  20,  19,   2, 115237024, 115587616, 115396320, 114394424, 112199744
 13137,  16,  16384,  26674,  19,  18,   1, 113494776, 111767160, 113484568, 112179456, 112705568
 13138,  16,  16384,   7716,  18,   3,   3, 112612144, 111030328, 105334560, 112529440, 111624648
 13139,  16,  16384,  35102,   3,   2,   1, 111365320, 108960416, 111557440, 108918200, 109795816
 13140,  16,  16384,  34947,   2,   5,   2, 110926224, 110726440, 110637136, 104862432, 114310256
 13141,  16,  16384,  25313,   5,   3,   2, 114044152, 109817952, 110222416, 112961536, 105400928
 13142,  16,  16384,  36122,   3,  12,   3, 111594864, 111368656, 111663864, 110526760, 114013232
 13143,  16,  16384,  45144,  12,  13,   1, 113764584, 113709632, 112822080, 106369872, 114405736
 13144,  16,  16384,  35676,  13,  14,   2, 114617328, 113024504, 113970704, 114260848, 110134688
 13145,  16,  16384,  21434,  14,  14,   0, 111211256, 110036128, 110946544, 104914808, 109904960
 13146,  16,  16384,  38763,  14,  14,   0, 109843928, 110667096, 110661784, 111011320, 110806240
 13147,  16,  16384,  44524,  14,  15,   1, 110923776, 109607544, 110767760, 111302400, 111494152
 13148,  16,  16384,  10698,  15,  14,   1, 110779144, 110132896, 110306800, 111679392, 111205616
 13149,  16,  16384,  22054,  14,   3,   3, 111008976, 110656728, 110803080, 109825992, 111594208
 13150,  16,  16384,   3999,   3,   2,   1, 111610040, 111232064, 111383688, 110436504, 111155320
 13151,  16,  16384,  27820,   2,  12,   3, 110726416, 110818168, 110875864, 110425520, 114282080
 13152,  16,  16384,  45745,  12,  15,   2, 114031056, 113993984, 113548896, 112618752, 110709680
 13153,  16,  16384,  25880,  15,  15,   0, 110382856, 111359104, 110518552, 111602272, 105377864
 13154,  16,  16384,  10549,  15,  15,   0, 111462152, 111361864, 110219528, 111678632, 111557088
 13155,  16,  16384,  45291,  15,   4,   3, 111632632, 111484072, 109251992, 111667800, 113932024
 13156,  16,  16384,   3166,   4,   5,   1, 113901464, 105498784, 113589448, 113636296, 114045296
 13157,  16,  16384,  10889,   5,   6,   3, 107951264, 114002976, 113929960, 112453056, 110053888
 13158,  16,  16384,  17581,   6,   6,   0, 110570360, 110289072, 107768176, 106336496, 110261088
 13159,  16,  16384,    975,   6,  14,   3, 108982112, 109976176, 108855160, 109078008, 111080456
 13160,  16,  16384,  20919,  14,  15,   1, 109925992, 110847784, 111129552, 111051152, 111555960
 13161,  16,  16384,  23330,  15,  16,   2, 105509344, 111625384, 111467520, 110510456, 114300592
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 13163,  16,  16384,  21286,   0,   1,   1, 113695424, 113798728, 113656632, 113556040, 113872896
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 13165,  16,  16384,  47355,   1,   3,   2, 114243880, 114046240, 111466016, 113704872, 111626888
 13166,  16,  16384,   7872,   3,   4,   2, 109225240, 111534936, 111600552, 105322160, 113956336
 13167,  16,  16384,   8910,   4,  22,   3, 112714040, 113869592, 113526952, 113714088, 111411464
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 13169,  16,  16384,  40702,  22,  20,   2, 111216248, 112655072, 106652416, 112368608, 115383072
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 13171,  16,  16384,  12523,  18,  18,   0, 111386808, 111070336, 112312880, 112218472, 112580928
 13172,  16,  16384,  35011,  18,  19,   1, 112038784, 112156392, 112793760, 112229800, 112772584
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 13177,  16,  16384,  14548,   7,   6,   1, 104076280, 111546160, 111540424, 110317200, 109315992
 13178,  16,  16384,  30078,   6,   7,   1, 110250096, 109029112, 110208424, 109929128, 111592944
 13179,  16,  16384,  27199,   7,  11,   2, 111567544, 110254008, 110270280, 105391312, 110461184
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 13182,  16,  16384,  13154,  15,  10,   3, 111838104, 110423944, 111464968, 110036088, 111009192
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 13186,  16,  16384,  11576,  11,  10,   1, 111477576, 111530496, 109318800, 111251296, 110788904
 13187,  16,  16384,  18970,  10,  11,   1, 110043376, 110776672, 104891312, 110827664, 110444600
 13188,  16,  16384,  45750,  11,  11,   0, 108306288, 108802424, 111759552, 111298784, 110721056
 13189,  16,  16384,  23349,  11,  15,   3, 110348256, 111635256, 111298216, 111307128, 111707096
 13190,  16,  16384,  18320,  15,  15,   0, 111858976, 110579192, 111448048, 111615336, 108011632
 13191,  16,  16384,  17258,  15,  21,   3, 109593320, 110290392, 109326912, 111143240, 115750824
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 13198,  16,  16384,  23979,   1,  23,   3, 112117336, 113342736, 113552904, 114161240, 112365096
 13199,  16,  16384,  28701,  23,  16,   3, 113531104, 113289736, 113142456, 113316304, 115437664
 13200,  16,  16384,  37943,  16,  17,   1, 115453400, 115219032, 113980248, 114155400, 115737096
 13201,  16,  16384,  10583,  17,  13,   2, 114795456, 114535304, 116105608, 116116184, 114385176
 13202,  16,  16384,  24826,  13,  13,   0, 114138152, 108476912, 113373640, 113661432, 113686464
 13203,  16,  16384,   6575,  13,  17,   2, 113998472, 112888856, 114125800, 111899984, 116063080
 13204,  16,  16384,  33963,  17,  16,   1, 116099136, 115723936, 115879480, 114554432, 114299640
 13205,  16,  16384,  29768,  16,   8,   3, 114435616, 114159664, 115341456, 115106800, 113729096
 13206,  16,  16384,  30597,   8,   8,   0, 111742856, 113226504, 112622184, 113618176, 113993888
 13207,  16,  16384,  45198,   8,   8,   0, 113567176, 112528032, 113623560, 107427256, 113837872
 13208,  16,  16384,   2762,   8,   8,   0, 113687448, 113618160, 111383136, 114076408, 112781464
 13209,  16,  16384,  42187,   8,   9,   1, 113928592, 113967112, 113514392, 112645728, 114365608
 13210,  16,  16384,  32762,   9,   8,   1, 113555376, 111327896, 114184000, 114224128, 113882816
 13211,  16,  16384,   3969,   8,   0,   3, 112945168, 113766392, 113547576, 113428576, 113724792
 13212,  16,  16384,   8001,   0,  12,   3, 112821696, 113808680, 112282960, 113696400, 112613816
 13213,  16,  16384,  21401,  12,  11,   3, 113706568, 112490448, 112571912, 113623632, 110683048
 13214,  16,  16384,  32177,  11,  10,   1, 111869680, 105776984, 111332016, 111305152, 110884816
 13215,  16,  16384,  46250,  10,  10,   0, 108960936, 110298440, 110909480, 110147736, 111044096
 13216,  16,  16384,  39240,  10,  10,   0, 109881520, 110975096, 110804664, 110975888, 111182648
 13217,  16,  16384,  48461,  10,   3,   3, 111018800, 111046032, 108546512, 111283048, 111347760
 13218,  16,  16384,  44719,   3,   2,   1, 108766928, 110195752, 111281312, 110533360, 110978512
 13219,  16,  16384,  16504,   2,   9,   3, 110910744, 111010848, 110804256, 103427904, 113925520
 13220,  16,  16384,  14778,   9,   8,   1, 114215960, 108103064, 114090080, 113831600, 113682600
 13221,  16,  16384,  15443,   8,   8,   0, 113800960, 113690992, 113729280, 113401232, 112631640
 13222,  16,  16384,  43658,   8,   8,   0, 113984376, 113016568, 113341792, 106678280, 112866616
 13223,  16,  16384,  31160,   8,  14,   3, 113495136, 113636536, 113657312, 113702488, 110895872
 13224,  16,  16384,  38042,  14,  13,   2, 109607480, 110321464, 110874432, 110883176, 114185696
 13225,  16,  16384,  25301,  13,   8,   3, 114306656, 113529368, 113607960, 114272944, 113753424
 13226,  16,  16384,  48477,   8,   9,   1, 113661696, 113974280, 112950352, 113294544, 114081872
 13227,  16,  16384,  23049,   9,  11,   2, 114291544, 114267800, 114143608, 112611776, 111477848
 13228,  16,  16384,  28719,  11,   9,   2, 111840904, 110163000, 111626568, 111515536, 114415992
 13229,  16,  16384,  24743,   9,   9,   0, 114244672, 114045496, 114153064, 114060328, 114309800
 13230,  16,  16384,  30171,   9,   8,   1, 113324856, 108801960, 111237592, 114114648, 113729736
 13231,  16,  16384,   5388,   8,  12,   3, 113921392, 112653472, 113762208, 107354760, 112782864
 13232,  16,  16384,  42910,  12,  12,   0, 113761904, 112742760, 107534088, 113514400, 113968936
 13233,  16,  16384,  41858,  12,  13,   1, 113667856, 112599408, 113787304, 113619104, 114369768
 13234,  16,  16384,  37468,  13,  13,   0, 114064280, 113967704, 114088352, 111588992, 114421656
 13235,  16,  16384,  37032,  13,  12,   1, 114399400, 114298240, 114122904, 112979728, 113357080
 13236,  16,  16384,  26286,  12,  11,   3, 114010456, 113416464, 112461792, 113823800, 110728672
 13237,  16,  16384,  36338,  11,  11,   0, 111708760, 110302120, 111591112, 111349000, 111478296
 13238,  16,  16384,  13667,  11,  21,   3, 111897064, 110438568, 104496880, 111592304, 114840856
 13239,  16,  16384,  18843,  21,  21,   0, 114857576, 114688216, 109922520, 115707232, 115810176
 13240,  16,  16384,  22901,  21,  21,   0, 115902992, 115785448, 115879680, 115915432, 114963160
 13241,  16,  16384,   5730,  21,  20,   1, 115928456, 115039328, 114983288, 114225696, 115538320
 13242,  16,  16384,  47445,  20,   6,   3, 115397592, 114138200, 115574440, 115276080, 104182552
 13243,  16,  16384,   9412,   6,  16,   3, 110165336, 110119568, 109733888, 109960936, 115532544
 13244,  16,  16384,   1014,  16,  16,   0, 115791368, 115482408, 114145152, 113249848, 112753120
 13245,  16,  16384,   3046,  16,  16,   0, 114291328, 115471368, 115337176, 115138920, 114291336
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 13249,  16,  16384,  25177,  13,   9,   3, 114308336, 114163128, 114203472, 114037992, 114351688
 13250,  16,  16384,  34589,   9,   2,   3, 106864752, 112820936, 114230528, 113851976, 110301856
 13251,  16,  16384,  35604,   2,  17,   3, 108028152, 107447288, 110637624, 109541568, 116148088
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 13255,  16,  16384,   3221,  15,  14,   1, 112132872, 111432632, 111416720, 111445296, 110722232
 13256,  16,  16384,  13943,  14,  15,   1, 111019544, 110764848, 109630408, 110550304, 111157280
 13257,  16,  16384,  40095,  15,  15,   0, 111583760, 110157504, 111257024, 111735240, 111745992
 13258,  16,  16384,  13334,  15,  13,   2, 111759696, 111656192, 105508872, 111455912, 114212072
 13259,  16,  16384,    377,  13,  14,   2, 114101480, 114032448, 114264792, 114072736, 110750808
 13260,  16,  16384,  40330,  14,  17,   2, 109970048, 109896600, 110917424, 110782560, 116077776
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 13266,  16,  16384,   6958,  18,  22,   2, 112620336, 112389504, 111172264, 110140872, 112662864
 13267,  16,  16384,  36096,  22,  23,   1, 111419376, 112430632, 112627696, 112687136, 113266896
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 13271,  16,  16384,  25544,  16,  13,   2, 115531120, 115422480, 115310016, 115529952, 114079712
 13272,  16,  16384,  43942,  13,  15,   2, 114401360, 113986568, 114335288, 114374384, 104287072
 13273,  16,  16384,  34826,  15,  15,   0, 111932240, 111345992, 111384928, 111541096, 110453568
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 13275,  16,  16384,   4472,  21,   7,   3, 116241128, 115722472, 110146080, 115894432, 111112248
 13276,  16,  16384,   5600,   7,   2,   3, 110651328, 110985032, 110138328, 110330648, 110860672
 13277,  16,  16384,  19468,   2,   5,   2, 111026232, 110746032, 110576208, 110402136, 114077016
 13278,  16,  16384,  16900,   5,   5,   0, 112880224, 107892120, 112775472, 113851992, 114364248
 13279,  16,  16384,  46387,   5,  13,   3, 113895200, 113963160, 114106928, 113948984, 112008312
 13280,  16,  16384,  25127,  13,  17,   2, 114432560, 114364320, 112892168, 113630568, 115092464
 13281,  16,  16384,   7811,  17,  15,   2, 116229800, 115813640, 115945192, 115838664, 111797944
 13282,  16,  16384,   9114,  15,  15,   0, 110506440, 105419848, 110194008, 111521464, 111565512
 13283,  16,  16384,  30891,  15,  14,   1, 111613944, 111413056, 110176208, 110236576, 111086656
 13284,  16,  16384,  32236,  14,  21,   3, 110743464, 110756168, 104936368, 110853784, 116091176
 13285,  16,  16384,  44437,  21,  20,   1, 115997160, 114261008, 114756112, 114780344, 115698544
 13286,  16,  16384,  33554,  20,  17,   3, 114304744, 115310840, 108421040, 115433296, 116367600
 13287,  16,  16384,   5925,  17,  15,   2, 115990968, 115820848, 113918456, 115230656, 110745576
 13288,  16,  16384,  38730,  15,  14,   1, 110379760, 111652296, 111706248, 111718272, 111046200
 13289,  16,  16384,    238,  14,  15,   1, 110580528, 110234136, 108274760, 111131136, 111689824
 13290,  16,  16384,  38734,  15,  12,   2, 111493896, 111669040, 110458376, 110475504, 113697016
 13291,  16,  16384,  34026,  12,   2,   3, 113381344, 113127432, 113589600, 113578640, 110950968
 13292,  16,  16384,   6943,   2,   2,   0, 110766272, 110714448, 110513240, 110714712, 109794752
 13293,  16,  16384,  22980,   2,   4,   2, 110971576, 110703448, 109257720, 110822752, 113750288
 13294,  16,  16384,   6382,   4,   5,   1, 114121024, 112528384, 114061696, 106386168, 114082128
 13295,  16,  16384,  24826,   5,  16,   3, 112842440, 113911088, 114020280, 113985528, 115550136
 13296,  16,  16384,  39331,  16,   5,   3, 115555504, 114146744, 115520192, 114235376, 113058824
 13297,  16,  16384,  23355,   5,   1,   2, 114238128, 113647832, 112796488, 113783848, 113866280
 13298,  16,  16384,  20574,   1,   3,   2, 114007200, 114092008, 113776600, 113809120, 111450128
 13299,  16,  16384,  30040,   3,   3,   0, 111449472, 111206032, 110206560, 110224496, 111233576
 13300,  16,  16384,  20597,   3,   3,   0, 111484448, 111236832, 105295792, 110128856, 111316736
 13301,  16,  16384,   7581,   3,   0,   2, 111540792, 111390816, 111346656, 111356856, 113796808
 13302,  16,  16384,   4227,   0,  17,   3, 114056288, 113495448, 113659600, 113996688, 115948744
 13303,  16,  16384,  21730,  17,  16,   1, 115896872, 115655496, 116038520, 115588760, 115809120
 13304,  16,  16384,  35668,  16,  12,   2, 114321000, 109866280, 115276912, 115302192, 112587048
 13305,  16,  16384,  42332,  12,  14,   2, 113926544, 113663160, 113567056, 112753800, 111237696
 13306,  16,  16384,  48467,  14,  15,   1, 110978664, 110998056, 110870264, 110897384, 110378768
 13307,  16,  16384,  29956,  15,  15,   0, 110635352, 105611792, 111612992, 111469872, 111599808
 13308,  16,  16384,  12327,  15,  16,   2, 111600656, 111233568, 111657008, 111668216, 109597168
 13309,  16,  16384,  21159,  16,   5,   3, 115591128, 114124256, 115130168, 115046200, 114170392
 13310,  16,  16384,  42428,   5,   2,   2, 114025016, 114354344, 113101376, 112992496, 110980112
 13311,  16,  16384,  40283,   2,   1,   2, 109965616, 109625128, 110613880, 110823896, 114418848
 13312,  16,  16384,  37587,   1,   0,   1, 107975552, 113847840, 114143296, 112718488, 112478840
 13313,  16,  16384,  25118,   0,   3,   2, 113709040, 112559656, 112576408, 113810560, 110493032
 13314,  16,  16384,  15399,   3,   2,   1, 111671488, 111485296, 111573992, 111200288, 110991336
 13315,  16,  16384,  38273,   2,   0,   2, 110821072, 110642448, 109747656, 110755192, 113797616
 13316,  16,  16384,  14575,   0,   0,   0, 113834120, 113355136, 113216024, 113740064, 113846584
 13317,  16,  16384,  32517,   0,   1,   1, 107704872, 112430704, 113426056, 112462608, 114301600
 13318,  16,  16384,  18241,   1,   1,   0, 114289000, 112784800, 112940048, 114038384, 108111240
 13319,  16,  16384,  29974,   1,   0,   1, 114117784, 113821344, 112875136, 113302136, 112583296
 13320,  16,  16384,  28393,   0,   1,   1, 112483928, 113835104, 113630168, 112436648, 114099928
 13321,  16,  16384,  38195,   1,   4,   2, 114250696, 107969920, 114063104, 112859392, 112677848
 13322,  16,  16384,  40917,   4,   9,   3, 112577568, 112587312, 113863240, 113958912, 112826216
 13323,  16,  16384,  30246,   9,   9,   0, 113172856, 113984408, 114008960, 112019400, 110451480
 13324,  16,  16384,  48684,   9,  10,   2, 112371776, 113770040, 113990848, 114184904, 111013080
 13325,  16,  16384,  30326,  10,  10,   0, 108784024, 110873464, 109987232, 111096720, 111059456
 13326,  16,  16384,  36439,  10,  11,   1, 110983864, 111005448, 110837376, 105038240, 111769336
 13327,  16,  16384,  47352,  11,   7,   2, 110641128, 111488304, 111449424, 111492048, 110137280
 13328,  16,  16384,  22576,   7,   8,   2, 111632776, 111232184, 111569864, 111471688, 107718576
 13329,  16,  16384,    267,   8,   8,   0, 113723200, 112842496, 113626152, 112512720, 113763832
 13330,  16,  16384,   3040,   8,  11,   2, 113828536, 113484192, 113797368, 113633912, 111535824
 13331,  16,  16384,  45452,  11,   7,   2, 111678584, 111353848, 110362312, 110438120, 111184920
 13332,  16,  16384,   9957,   7,  13,   3, 111469512, 111330392, 111165448, 110378632, 114151976
 13333,  16,  16384,  37623,  13,  13,   0, 114242896, 114003368, 113829424, 114098784, 114245824
 13334,  16,  16384,  28168,  13,   5,   3, 114261088, 114171616, 113980608, 113319960, 113651968
 13335,  16,  16384,  14060,   5,   4,   1, 113011352, 114072056, 113862392, 114000016, 112795936
 13336,  16,  16384,  25301,   4,   3,   2, 114176120, 113835064, 113841784, 112667800, 111853824
 13337,  16,  16384,  38335,   3,   0,   2, 110394864, 110822168, 105807400, 111368096, 113635880
 13338,  16,  16384,  29114,   0,   0,   0, 112467112, 112462520, 113391376, 113535216, 113830456
 13339,  16,  16384,  45982,   0,   0,   0, 112691224, 113516816, 110014600, 110358656, 113733960
 13340,  16,  16384,   5895,   0,   1,   1, 113728128, 113538008, 110998216, 113787288, 114088056
 13341,  16,  16384,  31452,   1,   1,   0, 113662136, 113944264, 113229696, 112237944, 113245584
 13342,  16,  16384,   3500,   1,   1,   0, 114328880, 114173808, 107929664, 113807080, 114238056
 13343,  16,  16384,  13815,   1,   6,   3, 114071040, 113762792, 113943552, 113915288, 110229440
 13344,  16,  16384,  19710,   6,   7,   1, 108867336, 110166400, 110234864, 110307736, 111576536
 13345,  16,  16384,   4036,   7,   7,   0, 110104496, 110078648, 111583784, 111163728, 111547784
 13346,  16,  16384,  46407,   7,   6,   1, 109872896, 105379328, 111219928, 111448360, 110128608
 13347,  16,  16384,  40866,   6,   7,   1, 110348216, 110059128, 104325760, 109770352, 111375392
 13348,  16,  16384,  33184,   7,   4,   3, 111829112, 111004640, 104351384, 111424544, 113503600
 13349,  16,  16384,  16337,   4,   4,   0, 114051336, 113911648, 107512968, 112903296, 112771232
 13350,  16,  16384,  13434,   4,   2,   2, 113919288, 113783072, 113661824, 113646072, 109866240
 13351,  16,  16384,  26395,   2,   2,   0, 110898328, 107180088, 108139048, 110590024, 110840744
 13352,  16,  16384,  41275,   2,   4,   2, 111093104, 109816512, 110087816, 110197456, 114104344
 13353,  16,  16384,  27830,   4,   5,   1, 114024728, 112510792, 112701424, 113830672, 114210528
 13354,  16,  16384,  18852,   5,   5,   0, 114038600, 113779968, 113886528, 114332120, 114062712
 13355,  16,  16384,  13734,   5,   2,   2, 114035088, 113853624, 112675064, 113986104, 105233056
 13356,  16,  16384,  49839,   2,   2,   0, 110340744, 110634232, 110848752, 110928664, 110789440
 13357,  16,  16384,   2647,   2,  13,   3, 109665528, 110911072, 109525672, 109377512, 114332736
 13358,  16,  16384,  42666,  13,   2,   3, 103822352, 113948120, 112990448, 114539768, 109756984
 13359,  16,  16384,  33364,   2,   2,   0, 110961192, 110564992, 109277728, 110678688, 110219584
 13360,  16,  16384,  15445,   2,   0,   2, 110728224, 110842360, 111121856, 110811952, 113861488
 13361,  16,  16384,  20867,   0,   0,   0, 112610008, 113636848, 113411760, 112286976, 114090440
 13362,  16,  16384,  14367,   0,   0,   0, 113898512, 113470120, 113368592, 111183176, 114145576
 13363,  16,  16384,  12265,   0,   3,   2, 113495816, 107563128, 112583632, 113610992, 110428864
 13364,  16,  16384,  32623,   3,   0,   2, 111305480, 105352784, 111314096, 109969224, 113053440
 13365,  16,  16384,  47505,   0,   0,   0, 111651648, 113687832, 113656360, 113645000, 113627784
 13366,  16,  16384,  43993,   0,   6,   3, 113888280, 113792312, 112293856, 113785184, 110295768
 13367,  16,  16384,  27356,   6,  13,   3, 110163472, 110150352, 110199496, 109931960, 114261768
 13368,  16,  16384,   9908,  13,  13,   0, 114305136, 114170664, 113851760, 114265592, 114001792
 13369,  16,  16384,  28302,  13,  16,   2, 114369864, 111787408, 114279680, 107906216, 115703208
 13370,  16,  16384,  30674,  16,  17,   1, 114279912, 112781144, 115528920, 115440704, 115868752
 13371,  16,  16384,  24287,  17,  16,   1, 116261896, 115834504, 113092688, 114536744, 115540352
 13372,  16,  16384,   9942,  16,  21,   3, 109613304, 114813296, 114519472, 112848160, 115906176
 13373,  16,  16384,  36721,  21,  15,   3, 110361032, 115392824, 115822056, 115882872, 111636480
 13374,  16,  16384,  11006,  15,  14,   1, 111669016, 111795832, 111619792, 110246552, 110000800
 13375,  16,  16384,  40326,  14,  14,   0, 110812808, 108402784, 110936152, 109572064, 111200400
 13376,  16,  16384,  34339,  14,  20,   3, 111115176, 110850688, 110888936, 110856984, 114420944
 13377,  16,  16384,  32711,  20,  15,   3, 113104696, 115471856, 109608456, 115487992, 111645224
 13378,  16,  16384,   2505,  15,  11,   3, 111500592, 111296144, 111575408, 111440480, 107020400
 13379,  16,  16384,   9128,  11,  11,   0, 111722864, 111727552, 110281704, 109205120, 111505568
 13380,  16,  16384,  19918,  11,   8,   2, 110724952, 111472984, 111547896, 111429224, 113624408
 13381,  16,  16384,  12582,   8,   6,   2, 113692112, 113472640, 113774344, 112131672, 110138408
 13382,  16,  16384,  44682,   6,  19,   3, 110122960, 102347144, 109958968, 108951296, 113583240
 13383,  16,  16384,  46172,  19,  23,   2, 113769904, 113159408, 113471248, 111829936, 113544592
 13384,  16,  16384,  33828,  23,  23,   0, 113677856, 111235672, 113102440, 112059888, 113608856
 13385,  16,  16384,  32899,  23,  23,   0, 113538096, 107486056, 113305144, 113169688, 112147984
 13386,  16,  16384,  17709,  23,  12,   3, 113328032, 113246312, 111787424, 111885160, 112587576
 13387,  16,  16384,  49104,  12,   3,   3, 113742800, 113191000, 113415016, 113407600, 111696928
 13388,  16,  16384,  40604,   3,   3,   0, 110438880, 111122320, 111199512, 111121096, 110693680
 13389,  16,  16384,   2875,   3,   5,   2, 110311160, 111409736, 111386696, 111543160, 113908320
 13390,  16,  16384,  11877,   5,   1,   2, 114067296, 114004608, 114019280, 114027288, 113949920
 13391,  16,  16384,  48288,   1,   0,   1, 114261808, 113793408, 113936528, 112717984, 113523256
 13392,  16,  16384,  20667,   0,   4,   2, 113563752, 113734848, 113668144, 113698664, 113954912
 13393,  16,  16384,  17262,   4,   1,   2, 112608008, 113815024, 113953080, 110050936, 112795264
 13394,  16,  16384,  48982,   1,   4,   2, 112785032, 112782992, 112852728, 114071192, 113872728
 13395,  16,  16384,   7924,   4,  16,   3, 113662728, 112492800, 113285288, 113934320, 115470960
 13396,  16,  16384,  15253,  16,  16,   0, 114486760, 108271400, 115384832, 115447096, 115663944
 13397,  16,  16384,  20912,  16,  17,   1, 115501424, 115419416, 114153064, 115334144, 114968184
 13398,  16,  16384,  12800,  17,  12,   2, 116218040, 116009352, 115837984, 115893304, 112773672
 13399,  16,  16384,  23526,  12,  16,   2, 113856432, 113655896, 113837384, 113799184, 115589512
 13400,  16,  16384,  22874,  16,  16,   0, 115722760, 114236064, 115540576, 115511576, 114556880
 13401,  16,  16384,   2474,  16,  17,   1, 115229992, 115415080, 109462000, 115137256, 116135896
 13402,  16,  16384,   7577,  17,  13,   2, 115964584, 115911912, 114412552, 115913216, 114145192
 13403,  16,  16384,  38197,  13,  12,   1, 114178960, 113974496, 114324456, 113760416, 112352944
 13404,  16,  16384,   6217,  12,  16,   2, 113947840, 113687720, 112398656, 112569096, 115558640
 13405,  16,  16384,  29652,  16,  20,   3, 114222664, 114085616, 115414376, 114247160, 115459056
 13406,  16,  16384,  41333,  20,  18,   2, 115630480, 115535880, 115464320, 115354768, 106850128
 13407,  16,  16384,  45020,  18,  18,   0, 112445280, 111194152, 112380816, 111187528, 112359240
 13408,  16,  16384,   8124,  18,  18,   0, 112512928, 112781752, 112276872, 112648464, 111578160
 13409,  16,  16384,  27389,  18,   9,   3, 111725128, 112368120, 112508152, 105524592, 114204688
 13410,  16,  16384,  40162,   9,   8,   1, 114468176, 114200440, 114067088, 111742328, 113749824
 13411,  16,  16384,  14063,   8,   8,   0, 114231320, 112334080, 113904256, 113884616, 112669280
 13412,  16,  16384,  36734,   8,   8,   0, 107679032, 113438424, 112668576, 112810064, 113850856
 13413,  16,  16384,  46560,   8,   5,   3, 113925360, 113710752, 113868200, 113962144, 114201728
 13414,  16,  16384,   3466,   5,   4,   1, 112762672, 114149704, 113786120, 114028944, 114119912
 13415,  16,  16384,  22456,   4,  11,   3, 112880472, 113910720, 113571800, 113610384, 111668144
 13416,  16,  16384,   4953,  11,   1,   3, 110513016, 111445864, 111246896, 111324184, 114036536
 13417,  16,  16384,  11497,   1,   0,   1, 114185344, 113864288, 113834472, 112911312, 113840064
 13418,  16,  16384,  32541,   0,   9,   3, 113860344, 113400184, 113716400, 113432336, 114158480
 13419,  16,  16384,  42516,   9,   4,   3, 111957576, 114456032, 114194680, 114218616, 114300288
 13420,  16,  16384,   3899,   4,   4,   0, 113929120, 107559280, 113801184, 113601248, 113748840
 13421,  16,  16384,  27343,   4,   4,   0, 113823176, 113438088, 109961640, 113660160, 113829824
 13422,  16,  16384,   2923,   4,  10,   3, 114087160, 112909000, 113651880, 114207560, 110553864
 13423,  16,  16384,  42222,  10,   8,   2, 109725456, 104840616, 110956288, 110667848, 106336160
 13424,  16,  16384,  11197,   8,  18,   3, 113888512, 113704600, 112678792, 113841192, 111929824
 13425,  16,  16384,   1077,  18,   6,   3, 112513672, 112550560, 106581288, 111390928, 110241936
 13426,  16,  16384,   6030,   6,   8,   2, 108564608, 109245664, 110141168, 110023872, 112774712
 13427,  16,  16384,  48763,   8,  15,   3, 113848056, 112403792, 113519440, 113581424, 111617184
 13428,  16,  16384,  30485,  15,  14,   1, 110420376, 110283960, 111712536, 110195936, 110970192
 13429,  16,  16384,  18390,  14,  14,   0, 111209712, 110635400, 110762096, 110125392, 111079840
 13430,  16,  16384,  31729,  14,  15,   1, 110027608, 110248128, 110480832, 110883704, 110665160
 13431,  16,  16384,   2320,  15,  13,   2, 111807328, 111488552, 111471096, 111277672, 113242528
 13432,  16,  16384,  30333,  13,  12,   1, 114353640, 114129488, 114005688, 114102512, 113780768
 13433,  16,  16384,  12537,  12,  14,   2, 113848880, 113533944, 112623520, 113700808, 111076928
 13434,  16,  16384,  20576,  14,   6,   3, 111127976, 110052992, 110546864, 110869208, 110231040
 13435,  16,  16384,  22897,   6,   7,   1, 107843120, 110200112, 108809408, 108847008, 111669888
 13436,  16,  16384,  14999,   7,  21,   3, 111461008, 111411272, 111507224, 110220136, 116322416
 13437,  16,  16384,  33350,  21,   6,   3, 116038184, 115711328, 113070608, 114598048, 109074648
 13438,  16,  16384,  38811,   6,   7,   1, 110474896, 110248416, 110007960, 110117752, 109334648
 13439,  16,  16384,  22448,   7,   6,   1, 111500304, 111426616, 104100840, 111301224, 109554176
 13440,  16,  16384,  21704,   6,   7,   1, 109621800, 109149568, 110070112, 110039560, 111827536
 13441,  16,  16384,  12874,   7,   6,   1, 111674800, 108998480, 111482584, 111257640, 109942760
 13442,  16,  16384,  22282,   6,   7,   1, 108317072, 109142488, 109088616, 110008600, 111578768
 13443,  16,  16384,  17731,   7,   7,   0, 111448264, 111022440, 111294656, 109217152, 111662608
 13444,  16,  16384,  16408,   7,  21,   3, 111412744, 110199136, 105318192, 111445416, 116180488
 13445,  16,  16384,    591,  21,  20,   1, 110165048, 115560784, 115828048, 115601224, 115365192
 13446,  16,  16384,  10552,  20,  23,   2, 109173296, 114874568, 115326680, 114000952, 113282904
 13447,  16,  16384,  23341,  23,  22,   1, 113344520, 113082320, 113284008, 113210560, 112516528
 13448,  16,  16384,  17475,  22,  14,   3, 112683400, 112382656, 112334728, 112530144, 110802000
 13449,  16,  16384,  28184,  14,  14,   0, 111264520, 108125856, 107439224, 110804056, 108821488
 13450,  16,  16384,  42544,  14,  14,   0, 110813248, 109710672, 110668112, 110719688, 111001312
 13451,  16,  16384,  38682,  14,  15,   1, 109573704, 110768456, 111019256, 110734072, 111374224
 13452,  16,  16384,  27381,  15,   4,   3, 111789840, 109127832, 111330272, 111396984, 107859760
 13453,  16,  16384,  16576,   4,   3,   2, 111317064, 113963080, 112671072, 114146288, 111461488
 13454,  16,  16384,  26362,   3,   2,   1, 111717272, 111195248, 111748000, 109480672, 111078736
 13455,  16,  16384,  34570,   2,   3,   1, 110816000, 110525464, 110682448, 110844440, 110749296
 13456,  16,  16384,  26811,   3,   2,   1, 111248984, 111477632, 111417400, 111570784, 109839096
 13457,  16,  16384,  37887,   2,   2,   0, 109765808, 110541072, 110744176, 110617088, 110993040
 13458,  16,  16384,  27918,   2,   1,   2, 110916072, 109641480, 110886656, 109671720, 113845272
 13459,  16,  16384,  42805,   1,  18,   3, 109157008, 110115816, 114070896, 113943944, 112202264
 13460,  16,  16384,  22078,  18,  19,   1, 112524592, 112383032, 111081288, 110710544, 113359312
 13461,  16,  16384,   4841,  19,  18,   1, 113572856, 113297336, 107465904, 113352672, 106857456
 13462,  16,  16384,  32253,  18,  18,   0, 112506112, 112586088, 112618392, 112553848, 110493600
 13463,  16,  16384,  47213,  18,  23,   2, 111465912, 112695440, 112591592, 112529600, 112057000
 13464,  16,  16384,  26301,  23,  20,   2, 112193984, 112061784, 112782584, 113292696, 115642472
 13465,  16,  16384,  24336,  20,  23,   2, 115255392, 115279096, 115558768, 115457032, 113320624
 13466,  16,  16384,  46200,  23,  19,   2, 113566520, 110613752, 113116568, 111974768, 113404520
 13467,  16,  16384,  30958,  19,   3,   3, 112258800, 113037872, 113303480, 113342120, 109044016
 13468,  16,  16384,  26972,   3,   8,   3, 111614928, 111268152, 111014288, 110086208, 113600624
 13469,  16,  16384,   1450,   8,   9,   1, 113863576, 112390856, 113673864, 113757808, 114511000
 13470,  16,  16384,   2577,   9,   9,   0, 114395848, 112905800, 113174016, 114111712, 113220896
 13471,  16,  16384,  26182,   9,  11,   2, 114135336, 114080232, 113745816, 108011608, 111172760
 13472,  16,  16384,  30956,  11,  10,   1, 111703360, 111386064, 111423960, 110253256, 111099024
 13473,  16,  16384,    950,  10,  13,   3, 110009968, 109678432, 110979904, 111017408, 114099224
 13474,  16,  16384,  27132,  13,  12,   1, 114245280, 113632312, 113384720, 114114208, 112982632
 13475,  16,  16384,  27422,  12,  12,   0, 113759944, 113801960, 113567168, 112479392, 112813696
 13476,  16,  16384,  46810,  12,  12,   0, 113895240, 113657544, 112564896, 113683864, 107901640
 13477,  16,  16384,  16901,  12,   3,   3, 113589920, 112712728, 113863680, 113553152, 105203504
 13478,  16,  16384,  28125,   3,   2,   1, 111403872, 111230664, 110369896, 110542240, 110849912
 13479,  16,  16384,  18566,   2,   2,   0, 110784744, 103573168, 111043128, 110861296, 109903912
 13480,  16,  16384,  35837,   2,   3,   1, 110432952, 109506128, 110805712, 109455912, 111411800
 13481,  16,  16384,  31542,   3,   2,   1, 111613800, 111533168, 111553928, 111082704, 110620136
 13482,  16,  16384,  14515,   2,   3,   1, 110935208, 109467552, 110782736, 109466024, 111348472
 13483,  16,  16384,   2829,   3,   3,   0, 109215744, 111390712, 111227656, 111494840, 111521128
 13484,  16,  16384,  43691,   3,   4,   2, 111710864, 111425488, 109100048, 111471568, 114015720
 13485,  16,  16384,  47505,   4,   1,   2, 113812400, 113430048, 113269608, 113774728, 114071160
 13486,  16,  16384,  23248,   1,   3,   2, 106662848, 113648120, 114069904, 113786024, 111297752
 13487,  16,  16384,  28933,   3,   3,   0, 111408536, 105083720, 111345328, 108961472, 111399952
 13488,  16,  16384,  39636,   3,   3,   0, 111462024, 111302040, 111729456, 111511912, 110366480
 13489,  16,  16384,  14201,   3,   4,   2, 110586920, 111153408, 111486960, 106349864, 114068664
 13490,  16,  16384,  30852,   4,   5,   1, 113914664, 113872440, 112534000, 112407584, 114120184
 13491,  16,  16384,   1950,   5,   4,   1, 114091768, 113932600, 113636688, 111866104, 113896584
 13492,  16,  16384,  19165,   4,   4,   0, 113956456, 113489392, 113831384, 113669416, 112354512
 13493,  16,  16384,  33106,   4,   4,   0, 112627512, 113907280, 113732496, 112843376, 113089392
 13494,  16,  16384,  49296,   4,  19,   3, 113897168, 108998648, 112649912, 113899816, 113574928
 13495,  16,  16384,  12708,  19,   2,   3, 113303632, 113097904, 112070576, 112806552, 109910752
 13496,  16,  16384,  49774,   2,   2,   0, 109161408, 110465184, 110716464, 110994480, 110639704
 13497,  16,  16384,  39875,   2,   2,   0, 110407184, 110822456, 104962192, 110537808, 110970496
 13498,  16,  16384,  23161,   2,   9,   3, 109794728, 108326320, 110940240, 110907928, 114066896
 13499,  16,  16384,  27089,   9,   8,   1, 114549928, 114041896, 114079944, 108082184, 114116832
 13500,  16,  16384,    512,   8,   8,   0, 113948176, 113541464, 113421520, 105107120, 112569496
 13501,  16,  16384,  43671,   8,   7,   2, 112600840, 113602768, 113592104, 113689848, 108222712
 13502,  16,  16384,  29427,   7,   9,   2, 108938904, 111279448, 111609384, 111348144, 114052400
 13503,  16,  16384,  36528,   9,  10,   2, 112881096, 114465240, 113046264, 114144040, 109807832
 13504,  16,  16384,  48861,  10,  10,   0, 111213104, 109893160, 110702144, 110908160, 103930944
 13505,  16,  16384,   3292,  10,  10,   0, 109743160, 110939680, 110798080, 110993472, 111040504
 13506,  16,  16384,   5904,  10,   9,   2, 110935096, 110968720, 109447624, 109657080, 113972768
 13507,  16,  16384,  26905,   9,   8,   1, 114429568, 113071736, 114052144, 114160776, 112697464
 13508,  16,  16384,  27035,   8,   8,   0, 113952024, 113563936, 113687384, 113579800, 113714888
 13509,  16,  16384,  16726,   8,   8,   0, 113700000, 112786992, 113755744, 113845440, 113785888
 13510,  16,  16384,  45045,   8,  12,   3, 103047952, 112809408, 113764272, 113721544, 113577976
 13511,  16,  16384,  21422,  12,   3,   3, 107282880, 113683192, 113686856, 112719536, 111338384
 13512,  16,  16384,  46364,   3,   1,   2, 109363216, 111299960, 105898816, 109841576, 113999704
 13513,  16,  16384,   6054,   1,  23,   3, 114235552, 113849056, 112813464, 114521632, 112250368
 13514,  16,  16384,  25225,  23,  23,   0, 113514872, 111875840, 112211960, 113073696, 113215768
 13515,  16,  16384,  18335,  23,  14,   3, 107725312, 113362920, 113182456, 113295040, 111115976
 13516,  16,  16384,  28816,  14,  14,   0, 111120736, 110992656, 109497744, 109871120, 110981784
 13517,  16,  16384,  34131,  14,  15,   1, 110981760, 111044664, 110898344, 104592040, 111711232
 13518,  16,  16384,   6605,  15,  15,   0, 111774136, 110759664, 110725576, 111555888, 111975456
 13519,  16,  16384,  10601,  15,  15,   0, 105578472, 111454184, 110043648, 111190640, 111729336
 13520,  16,  16384,  42881,  15,  12,   2, 110584736, 111495480, 111294736, 111377632, 113278376
 13521,  16,  16384,  25268,  12,  17,   2, 113026912, 113567888, 113943176, 111757856, 116255512
 13522,  16,  16384,  46449,  17,  13,   2, 110176520, 115820512, 115722152, 114384520, 113098160
 13523,  16,  16384,  23278,  13,  12,   1, 113328064, 114107752, 114405080, 107976856, 112739488
 13524,  16,  16384,   7060,  12,  13,   1, 112736928, 113810432, 113579120, 113617576, 114201288
 13525,  16,  16384,  15513,  13,  13,   0, 112965248, 113068008, 113040288, 113974736, 114074984
 13526,  16,  16384,  37450,  13,  14,   2, 113951656, 108378928, 114347976, 114057992, 111410552
 13527,  16,  16384,  46957,  14,  15,   1, 111029664, 110774568, 110704528, 110660072, 111647384
 13528,  16,  16384,  29752,  15,  15,   0, 105596864, 110488464, 111581256, 111568520, 111691952
 13529,  16,  16384,  44623,  15,   2,   3, 110577712, 111746912, 111856272, 110412400, 109797656
 13530,  16,  16384,  24670,   2,   5,   2, 109595976, 110677768, 110833792, 110626112, 114031848
 13531,  16,  16384,  14314,   5,  10,   3, 114344024, 114028360, 113977824, 113080320, 111057592
 13532,  16,  16384,  11419,  10,  17,   3, 102806400, 109904408, 110967232, 109916392, 114966512
 13533,  16,  16384,   1071,  17,  16,   1, 114517672, 116001160, 115793440, 116054792, 114676232
 13534,  16,  16384,   6748,  16,  13,   2, 114891448, 115933648, 115528344, 115586296, 114077064
 13535,  16,  16384,   1438,  13,  13,   0, 114120512, 114208880, 107867824, 111953144, 114337408
 13536,  16,  16384,  24198,  13,  13,   0, 114349776, 113939968, 114051064, 114210032, 113989944
 13537,  16,  16384,  35846,  13,  13,   0, 113808400, 113431616, 114273768, 114053072, 113410912
 13538,  16,  16384,  44753,  13,  13,   0, 109023528, 110844224, 113983272, 114326008, 114273504
 13539,  16,  16384,  44592,  13,  13,   0, 113059256, 114191568, 112984256, 114034360, 114246648
 13540,  16,  16384,  33500,  13,  12,   1, 113155920, 114551608, 112893392, 108077464, 113812208
 13541,  16,  16384,  31061,  12,  12,   0, 113672184, 113394784, 113431528, 113715280, 111544096
 13542,  16,  16384,  30013,  12,  15,   2, 113975384, 114290352, 113612408, 111337416, 111665432
 13543,  16,  16384,  17412,  15,  16,   2, 111638288, 111367104, 109363008, 111381080, 115538640
 13544,  16,  16384,  44152,  16,   7,   3, 116010544, 113225288, 115312152, 115562120, 104983976
 13545,  16,  16384,  28819,   7,  11,   2, 111524200, 111178800, 111385792, 110202632, 111635128
 13546,  16,  16384,  13717,  11,  11,   0, 111781144, 111685776, 105259928, 110403856, 111701088
 13547,  16,  16384,   5195,  11,  14,   3, 111585072, 110436240, 110273248, 111482344, 110782552
 13548,  16,  16384,  40117,  14,  15,   1, 110015440, 109819024, 110922536, 111126688, 111552480
 13549,  16,  16384,  46581,  15,  14,   1, 110583224, 111673864, 111528888, 110326488, 110410616
 13550,  16,  16384,  37656,  14,   0,   3, 110602288, 109891840, 110984200, 109874296, 112246528
 13551,  16,  16384,  48833,   0,  17,   3, 109510352, 113521256, 113695552, 113522392, 115957696
 13552,  16,  16384,  39138,  17,  13,   2, 116039816, 115958016, 116100440, 114468224, 113366424
 13553,  16,  16384,  41406,  13,   0,   3, 114191632, 113132720, 114071424, 114122880, 113442616
 13554,  16,  16384,  40951,   0,   1,   1, 112212256, 112720672, 113759864, 113542464, 113219952
 13555,  16,  16384,   6387,   1,   0,   1, 112708208, 113835856, 107437672, 113999672, 113707648
 13556,  16,  16384,   7756,   0,   1,   1, 113774704, 113519416, 111372144, 113623064, 113883144
 13557,  16,  16384,   8196,   1,   9,   3, 114262768, 113829744, 112827416, 113097456, 114444040
 13558,  16,  16384,  40110,   9,   6,   2, 113251000, 114211232, 114170984, 114198488, 110366672
 13559,  16,  16384,  15412,   6,   6,   0, 108799848, 108503224, 109955584, 110187088, 110369856
 13560,  16,  16384,  34850,   6,   7,   1, 108942232, 108818776, 110402224, 110225296, 110499984
 13561,  16,  16384,  46807,   7,   7,   0, 110467200, 111388256, 111344256, 110185328, 111626976
 13562,  16,  16384,  48120,   7,  11,   2, 111607784, 111236088, 111452136, 105343584, 111583408
 13563,  16,  16384,  46425,  11,  10,   1, 111623920, 110040568, 111352400, 110298280, 110988880
 13564,  16,  16384,  26057,  10,  11,   1, 111157448, 104890792, 110541464, 110578504, 111363272
 13565,  16,  16384,  48686,  11,   6,   2, 105529680, 111358376, 110472416, 111112248, 109973280
 13566,  16,  16384,  42090,   6,   9,   2, 109064480, 110076328, 110184144, 108959960, 114446032
 13567,  16,  16384,  19422,   9,   5,   3, 114208240, 114072072, 113799840, 106599832, 114193200
 13568,  16,  16384,  17606,   5,  16,   3, 113935544, 113874488, 114246104, 114094976, 115548496
 13569,  16,  16384,  16291,  16,  17,   1, 112805568, 115838952, 115270648, 115481248, 114922920
 13570,  16,  16384,  27296,  17,  17,   0, 113596872, 116044024, 115950672, 115906264, 116212552
 13571,  16,  16384,  17116,  17,  15,   2, 115999568, 115832568, 115340184, 114308032, 111600984
 13572,  16,  16384,  19837,  15,  17,   2, 111629016, 109374736, 111394416, 111504120, 116070488
 13573,  16,  16384,  44591,  17,  15,   2, 116067936, 115485944, 115979000, 115666952, 111526064
 13574,  16,  16384,  32007,  15,   3,   3, 111667896, 111486152, 109665224, 110636872, 111514120
 13575,  16,  16384,  47360,   3,   3,   0, 111672456, 110181576, 111315816, 110155736, 111517696
 13576,  16,  16384,   3264,   3,   5,   2, 110590424, 111290888, 111661464, 111539848, 107052840
 13577,  16,  16384,  44181,   5,   5,   0, 114251280, 114145784, 113927384, 113929688, 114250728
 13578,  16,  16384,  34393,   5,   9,   3, 114178032, 113648704, 112863144, 112974800, 114266400
 13579,  16,  16384,  44524,   9,   8,   1, 114234360, 107109288, 114239424, 114103792, 113602112
 13580,  16,  16384,  14153,   8,   3,   3, 111421792, 113645256, 114000808, 112854576, 111470216
 13581,  16,  16384,  27865,   3,   3,   0, 111318120, 104933840, 110132320, 111256912, 111477352
 13582,  16,  16384,  13737,   3,   2,   1, 111561640, 110173432, 110498960, 111661280, 111255832
 13583,  16,  16384,    549,   2,   0,   2, 110938360, 110739800, 110740960, 109586600, 110989560
 13584,  16,  16384,  44324,   0,   1,   1, 112504856, 113718720, 113830728, 113417120, 114155440
 13585,  16,  16384,  12759,   1,   3,   2, 113968272, 107530680, 113981832, 113950392, 106791000
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 13617,  16,  16384,  46659,   3,  14,   3, 110317496, 110313272, 111187568, 111394160, 110044536
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 13623,  16,  16384,  26732,   5,   5,   0, 106390848, 113898112, 113839224, 114125232, 114187600
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 13625,  16,  16384,  49450,   3,   3,   0, 111802816, 108778528, 111158536, 111461248, 110522440
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 13629,  16,  16384,   3277,   0,  17,   3, 113943520, 104921512, 112284992, 113302272, 115438264
 13630,  16,  16384,  46389,  17,  23,   3, 114749520, 116217072, 115920368, 116153472, 111852776
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 13632,  16,  16384,  41129,  22,  23,   1, 112738264, 112461328, 111204056, 112388424, 113640440
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 13635,  16,  16384,  45861,  21,  21,   0, 116089360, 115880824, 115829200, 115964392, 114766112
 13636,  16,  16384,  22659,  21,  19,   2, 115862840, 116032016, 113437600, 114497992, 113264744
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 13638,  16,  16384,  11068,  19,  19,   0, 113641728, 113544784, 113398448, 113476768, 113145680
 13639,  16,  16384,  45011,  19,  20,   2, 112176432, 113009256, 113283104, 106168184, 114613568
 13640,  16,  16384,  25047,  20,  21,   1, 115891496, 114417592, 113631976, 115491904, 114851768
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 13646,  16,  16384,  23375,   8,   6,   2, 112954616, 113767224, 113725920, 113539544, 109756528
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 13655,  16,  16384,  40991,   2,   2,   0, 110846368, 110792752, 109351160, 110682856, 110982432
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 13657,  16,  16384,  43869,   8,   9,   1, 113648832, 113625904, 113438224, 112931720, 108108240
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 13659,  16,  16384,  24346,  17,  16,   1, 115986696, 115721552, 114668392, 115803472, 112956232
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 13664,  16,  16384,  42852,  21,  20,   1, 116228928, 115896560, 115799976, 115829120, 115577288
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 13679,  16,  16384,  27161,  10,   7,   2, 109792384, 110853536, 104787192, 110783472, 107103296
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 13687,  16,  16384,  22252,   2,   0,   2, 110996480, 110749544, 110736600, 110786928, 112908592
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 13697,  16,  16384,  32451,  22,  16,   3, 110002888, 111202576, 112284808, 106363408, 115765256
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 13703,  16,  16384,   7814,   6,   7,   1, 110228240, 108753080, 109026872, 110180272, 111633072
 13704,  16,  16384,  40994,   7,  10,   2, 111565144, 111401376, 109196392, 111351000, 105249576
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 13712,  16,  16384,  24422,  17,  16,   1, 114772176, 116151056, 115934712, 110129312, 114370848
 13713,  16,  16384,  14953,  16,  12,   2, 115574888, 115366712, 115269408, 115396328, 114006224
 13714,  16,  16384,  23835,  12,  23,   3, 111698896, 112649432, 113648968, 113863760, 113536888
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 13716,  16,  16384,  16757,   3,   2,   1, 111347384, 110188080, 111255584, 111350648, 110847600
 13717,  16,  16384,  17408,   2,  11,   3, 109796144, 110773280, 110601544, 111001328, 111408424
 13718,  16,  16384,  46555,  11,  11,   0, 105788848, 111393488, 110111832, 111534560, 111556280
 13719,  16,  16384,  33716,  11,   8,   2, 112005616, 109801920, 111196784, 111577472, 113777784
 13720,  16,  16384,  35188,   8,   8,   0, 114110552, 113775328, 112546872, 113474056, 112842560
 13721,  16,  16384,  11099,   8,  19,   3, 112781032, 112923928, 113625784, 113506696, 112152448
 13722,  16,  16384,    751,  19,  21,   2, 113297544, 113128056, 111828424, 112899920, 114793752
 13723,  16,  16384,  18160,  21,  22,   2, 116191192, 110126536, 114739760, 115478400, 112604808
 13724,  16,  16384,  27444,  22,  11,   3, 112760344, 112502592, 111180688, 112612808, 110550152
 13725,  16,  16384,  18375,  11,  10,   1, 104633768, 111347672, 111227376, 111472496, 110881064
 13726,  16,  16384,  35780,  10,  11,   1, 111213664, 111029240, 110904912, 110860304, 111712656
 13727,  16,  16384,  38724,  11,   8,   2, 111597448, 110595504, 103995008, 111421272, 111590576
 13728,  16,  16384,   6929,   8,   8,   0, 114138192, 112560504, 113593384, 113809040, 113661448
 13729,  16,  16384,  11352,   8,   8,   0, 114020256, 113442576, 113874384, 113641304, 113883088
 13730,  16,  16384,   7811,   8,   9,   1, 112654096, 111311872, 107641752, 113453208, 114329840
 13731,  16,  16384,  39802,   9,  21,   3, 114034608, 114019824, 107820552, 114029016, 114759936
 13732,  16,  16384,  30996,  21,  20,   1, 116518576, 116057600, 115986608, 114663024, 115534936
 13733,  16,  16384,   2688,  20,   6,   3, 114335040, 115242256, 115583088, 115273416, 109230592
 13734,  16,  16384,  12958,   6,   2,   3, 108747256, 108955704, 108809016, 104500032, 111000896
 13735,  16,  16384,  26708,   2,   5,   2, 104959424, 110616416, 110525504, 110637048, 114176504
 13736,  16,  16384,   6112,   5,   1,   2, 113218456, 114130648, 113840928, 113950104, 113937888
 13737,  16,  16384,  46595,   1,   1,   0, 114392064, 114265976, 113808504, 107855408, 113858632
 13738,  16,  16384,  44227,   1,  15,   3, 112915920, 113862256, 112639184, 113905200, 111742672
 13739,  16,  16384,  12035,  15,  14,   1, 111447952, 111500008, 111279400, 111525088, 110941432
 13740,  16,  16384,  17276,  14,  15,   1, 109829072, 110737072, 110535672, 110757712, 111494344
 13741,  16,  16384,  17058,  15,  13,   2, 110469488, 111875120, 111627504, 111483416, 114011200
 13742,  16,  16384,   4843,  13,   4,   3, 114301336, 113039032, 107719352, 113508296, 114249512
 13743,  16,  16384,  22805,   4,   1,   2, 113768200, 113610216, 113719112, 112625824, 114507312
 13744,  16,  16384,  44492,   1,  20,   3, 112873232, 114046984, 113713680, 107477824, 115712432
 13745,  16,  16384,  26271,  20,  21,   1, 114367320, 115478936, 115689896, 115565000, 115850832
 13746,  16,  16384,  29728,  21,  21,   0, 115860840, 114477008, 115924688, 115673472, 113173960
 13747,  16,  16384,  45817,  21,  21,   0, 114916360, 115615568, 110240056, 115658080, 115895440
 13748,  16,  16384,  21998,  21,  23,   2, 115961480, 116062552, 115873496, 114775552, 112079344
 13749,  16,  16384,  17487,  23,  23,   0, 113342288, 112064352, 111878344, 113411360, 113245648
 13750,  16,  16384,  28067,  23,  23,   0, 113565488, 107456936, 113322192, 113263480, 111952352
 13751,  16,  16384,   8034,  23,  23,   0, 113615608, 113108520, 111972712, 111713848, 112259664
 13752,  16,  16384,  32791,  23,  22,   1, 113651952, 113385112, 113207672, 113071112, 112651968
 13753,  16,  16384,  29235,  22,   2,   3, 112820856, 112296904, 110973120, 112318408, 111108280
 13754,  16,  16384,  11459,   2,   2,   0, 110811560, 109652200, 110762016, 110785968, 109521112
 13755,  16,  16384,   1238,   2,  22,   3, 109697552, 104983768, 109726432, 110614448, 112538520
 13756,  16,  16384,   2581,  22,  18,   2, 112796304, 112642600, 112434696, 112456352, 111568848
 13757,  16,  16384,  36487,  18,  19,   1, 112208960, 112409568, 111334064, 112282016, 112209912
 13758,  16,  16384,  29119,  19,  18,   1, 113402208, 111905728, 113673808, 110943424, 106956504
 13759,  16,  16384,  25059,  18,   5,   3, 111371696, 112374560, 112411608, 112463880, 113999344
 13760,  16,  16384,  23195,   5,   2,   2, 113240232, 113927936, 113884760, 107847464, 111153224
 13761,  16,  16384,  23135,   2,   2,   0, 111070072, 108824712, 110405952, 110768328, 111336688
 13762,  16,  16384,  22027,   2,   2,   0, 110155584, 110688672, 110739864, 104932928, 110864312
 13763,  16,  16384,  28086,   2,   9,   3, 110867464, 110819464, 110745576, 111125448, 113292080
 13764,  16,  16384,   3900,   9,  11,   2, 114267696, 114150512, 112700624, 113946728, 111542736
 13765,  16,  16384,  22737,  11,  10,   1, 111651128, 111350440, 102258768, 111490808, 110999168
 13766,  16,  16384,   6471,  10,   6,   2, 110938640, 109977920, 110935600, 109617960, 109427120
 13767,  16,  16384,  45708,   6,   8,   2, 109074696, 110109968, 110042720, 110156920, 112741856
 13768,  16,  16384,  12156,   8,  14,   3, 114001520, 113531400, 113597368, 113905520, 110786824
 13769,  16,  16384,  32444,  14,  12,   2, 109763504, 107393624, 108457208, 110825864, 111934456
 13770,  16,  16384,  24655,  12,  15,   2, 113448696, 112382304, 108907384, 112087944, 111680760
 13771,  16,  16384,  17588,  15,  15,   0, 111557792, 110260032, 111243600, 110585112, 111757264
 13772,  16,  16384,  25527,  15,  14,   1, 111802688, 110410624, 111388472, 110097680, 109936904
 13773,  16,  16384,  18664,  14,  16,   2, 111009568, 109771632, 110792728, 109976784, 115701752
 13774,  16,  16384,  12043,  16,  13,   2, 114309232, 115802856, 115411568, 114037432, 114351096
 13775,  16,  16384,  37607,  13,  12,   1, 113017792, 114271960, 114214744, 107797704, 113599104
 13776,  16,  16384,  45624,  12,  20,   3, 113760432, 112736304, 113722168, 113573960, 115536328
 13777,  16,  16384,  17790,  20,  20,   0, 115862824, 114210952, 114144160, 115676512, 114917344
 13778,  16,  16384,  38283,  20,  20,   0, 109903920, 115108152, 115285456, 114081408, 115206552
 13779,  16,  16384,  16428,  20,  21,   1, 115799712, 115324800, 115483560, 114423512, 114803856
 13780,  16,  16384,  46461,  21,  23,   2, 115898224, 109984032, 115727200, 115778056, 113568568
 13781,  16,  16384,   2733,  23,  19,   2, 113649040, 113365920, 107382440, 111783664, 113705272
 13782,  16,  16384,  46052,  19,  10,   3, 113209272, 112224784, 113526080, 113339800, 111079520
 13783,  16,  16384,  34515,  10,  18,   3, 110953208, 110957936, 109923600, 110733912, 111791544
 13784,  16,  16384,  32340,  18,  22,   2, 112348616, 112636032, 106766392, 112377512, 112694048
 13785,  16,  16384,   4815,  22,   0,   3, 112645480, 112396992, 112377144, 111189288, 113854904
 13786,  16,  16384,  24665,   0,   5,   2, 113716360, 113129776, 107622864, 112349376, 114359976
 13787,  16,  16384,  10084,   5,   4,   1, 114093064, 112980344, 113946528, 107816016, 114025520
 13788,  16,  16384,  30166,   4,  22,   3, 113829152, 113660224, 113634448, 113705528, 112629960
 13789,  16,  16384,  27762,  22,  22,   0, 112835544, 112185640, 112152688, 112434664, 112673000
 13790,  16,  16384,  44288,  22,  23,   1, 112785600, 111243952, 111094392, 106555712, 113094800
 13791,  16,  16384,  36156,  23,  15,   3, 112586320, 113043736, 113029920, 106223648, 110394336
 13792,  16,  16384,  47816,  15,  15,   0, 111672800, 111542792, 111816144, 111326632, 105698648
 13793,  16,  16384,   4670,  15,  15,   0, 111657832, 110337336, 111193216, 111544960, 111827224
 13794,  16,  16384,   9794,  15,  22,   3, 109502504, 110465608, 111703392, 111079608, 111317296
 13795,  16,  16384,   6538,  22,  18,   2, 106888904, 109569200, 112505048, 112347360, 112629368
 13796,  16,  16384,  22665,  18,  18,   0, 112631536, 112367888, 112164920, 112038072, 112766456
 13797,  16,  16384,  49724,  18,  19,   1, 111256400, 112386464, 104136352, 111080056, 112014664
 13798,  16,  16384,  33608,  19,  18,   1, 113476096, 113245216, 113474784, 113485928, 112688200
 13799,  16,  16384,  28417,  18,  19,   1, 112750040, 111288528, 112373888, 111201752, 112119976
 13800,  16,  16384,  31715,  19,   1,   3, 112096480, 113211120, 113480136, 113526008, 113978696
 13801,  16,  16384,  29613,   1,   4,   2, 112782272, 113954544, 114045616, 113949400, 113831128
 13802,  16,  16384,  21057,   4,   0,   2, 107870072, 112544976, 113229744, 112827728, 112572536
 13803,  16,  16384,  32752,   0,   1,   1, 113533928, 113725584, 113880440, 112365496, 112880096
 13804,  16,  16384,  24860,   1,  22,   3, 114195016, 114192360, 114075408, 111593624, 112442864
 13805,  16,  16384,  10738,  22,  23,   1, 112576592, 112466592, 112469104, 112403816, 113552408
 13806,  16,  16384,   9142,  23,  23,   0, 113629280, 113306648, 113254248, 111467584, 113558920
 13807,  16,  16384,   8982,  23,  22,   1, 113696096, 113081152, 107368152, 111902296, 112557560
 13808,  16,  16384,  25119,  22,  23,   1, 111874008, 111817392, 112706016, 112563072, 113437872
 13809,  16,  16384,  37969,  23,  23,   0, 110920824, 113248488, 113476840, 113129064, 107416224
 13810,  16,  16384,   5771,  23,  20,   2, 112399512, 111808912, 113331280, 113209344, 114949568
 13811,  16,  16384,   2219,  20,  22,   2, 114883696, 115066112, 114589456, 114759328, 112690168
 13812,  16,  16384,  44129,  22,  19,   2, 112507248, 112392904, 112202704, 112524760, 113294896
 13813,  16,  16384,  33054,  19,  19,   0, 113418976, 113412768, 113211776, 111826512, 113319672
 13814,  16,  16384,  13340,  19,  23,   2, 110040296, 110936448, 113251688, 112073800, 112241992
 13815,  16,  16384,  41414,  23,  19,   2, 113314456, 113345464, 113010824, 113215880, 113203184
 13816,  16,  16384,  48964,  19,  18,   1, 110695480, 113310608, 113438928, 113600104, 111545856
 13817,  16,  16384,  14827,  18,   7,   3, 112752712, 112593064, 112476024, 111091432, 111687080
 13818,  16,  16384,  23735,   7,  19,   3, 111693168, 102715784, 111267616, 111589320, 113518120
 13819,  16,  16384,  24056,  19,  23,   2, 113424648, 112887912, 111985016, 113360896, 113299192
 13820,  16,  16384,   2723,  23,  19,   2, 112154232, 113162744, 113083152, 112425584, 111870872
 13821,  16,  16384,  35787,  19,  18,   1, 107598616, 113228312, 113268456, 113457304, 112808440
 13822,  16,  16384,  19191,  18,   1,   3, 111140032, 111066448, 111578648, 112433688, 107952832
 13823,  16,  16384,  42927,   1,  20,   3, 112775264, 114063232, 113899520, 113800376, 115493896
 13824,  16,  16384,  16981,  20,  18,   2, 115624056, 115319352, 114094040, 109840920, 112481632
 13825,  16,  16384,  27265,  18,  22,   2, 112610928, 106609448, 112481728, 112457648, 111386552
 13826,  16,  16384,  31442,  22,  22,   0, 112289336, 112198216, 112503288, 111133256, 111261496
 13827,  16,  16384,  22500,  22,  22,   0, 111266800, 112294832, 112192616, 112463752, 112442768
 13828,  16,  16384,    885,  22,  19,   2, 112746368, 105519576, 112353048, 112407368, 113603648
 13829,  16,  16384,  39341,  19,  21,   2, 112377984, 113094512, 113241984, 111971488, 116142440
 13830,  16,  16384,  16165,  21,  10,   3, 116007976, 115895880, 114456976, 116055688, 110809272
 13831,  16,  16384,  23106,  10,  11,   1, 111082504, 106094488, 108581752, 111032048, 110558304
 13832,  16,  16384,  36522,  11,  11,   0, 111582288, 111682280, 111626296, 110548528, 112022496
 13833,  16,  16384,  28900,  11,   7,   2, 111666368, 105500152, 111137120, 110486896, 111632056
 13834,  16,  16384,  12472,   7,   3,   3, 111715552, 102911856, 111385784, 111364664, 111254296
 13835,  16,  16384,   1812,   3,   2,   1, 110444696, 111421024, 111653456, 110340192, 109836968
 13836,  16,  16384,  28971,   2,   2,   0, 104078832, 110844248, 110603096, 110536072, 111053040
 13837,  16,  16384,  21558,   2,  12,   3, 110616536, 110497624, 109383176, 110594104, 113820904
 13838,  16,  16384,  45897,  12,  12,   0, 114123440, 112942328, 113981392, 112463520, 113634384
 13839,  16,  16384,   4584,  12,  13,   1, 113128816, 113167112, 111198360, 113255184, 114135304
 13840,  16,  16384,   1131,  13,  13,   0, 114196784, 114297368, 113112576, 113511184, 114329576
 13841,  16,  16384,  48098,  13,  11,   3, 113175432, 108272424, 114060080, 113979016, 110681744
 13842,  16,  16384,  30908,  11,  11,   0, 110834984, 111406704, 105772512, 111089072, 111589832
 13843,  16,  16384,   2365,  11,  10,   1, 111598120, 111349616, 111293248, 110619728, 110952824
 13844,  16,  16384,  27272,  10,   8,   2, 110968576, 109747352, 110980488, 109565240, 113510912
 13845,  16,  16384,  31729,   8,   7,   2, 113574176, 106563984, 113878496, 113758872, 111717904
 13846,  16,  16384,  47471,   7,   5,   3, 110516600, 111511560, 111504456, 105169312, 113947000
 13847,  16,  16384,  18842,   5,   4,   1, 114073448, 113908320, 112674688, 114017232, 114123224
 13848,  16,  16384,  31473,   4,   5,   1, 113041896, 113965096, 113857960, 107403488, 113050352
 13849,  16,  16384,   8821,   5,   5,   0, 114193184, 113943688, 114065264, 114046048, 112996416
 13850,  16,  16384,  22158,   5,  21,   3, 114120776, 112934528, 112911912, 113930192, 116017384
 13851,  16,  16384,  45803,  21,  20,   1, 116062256, 114291032, 114737776, 115515032, 114535240
 13852,  16,  16384,  43531,  20,   7,   3, 115546664, 115372960, 115286800, 115525760, 105300176
 13853,  16,  16384,   1908,   7,   6,   1, 111385864, 111369032, 110255032, 109230264, 105524120
 13854,  16,  16384,  17908,   6,   2,   3, 110151760, 110309920, 110023432, 109155072, 105151880
 13855,  16,  16384,  15331,   2,  22,   3, 110815592, 110678064, 110472000, 109557856, 107173304
 13856,  16,  16384,  31421,  22,  14,   3, 110685416, 112589744, 112430248, 112495040, 111116616
 13857,  16,  16384,  20197,  14,  14,   0, 105318792, 109644672, 109641336, 110782376, 110840536
 13858,  16,  16384,   3774,  14,  13,   2, 110903904, 110621688, 109790704, 111024696, 114306976
 13859,  16,  16384,  14809,  13,  12,   1, 114186376, 114066304, 114224952, 113499000, 111429448
 13860,  16,  16384,  16358,  12,  13,   1, 112455240, 112425448, 108104344, 113198840, 114154616
 13861,  16,  16384,     74,  13,  17,   2, 114402456, 114154328, 114137344, 114032464, 115962096
 13862,  16,  16384,  41730,  17,  16,   1, 115269464, 115576384, 113178496, 115967672, 115722488
 13863,  16,  16384,  18003,  16,  17,   1, 115681080, 115532592, 115367688, 115559000, 115931944
 13864,  16,  16384,   2435,  17,  17,   0, 115914864, 115995656, 114770944, 114399552, 114792432
 13865,  16,  16384,  19778,  17,  16,   1, 114769096, 115955288, 110304136, 116077864, 115510744
 13866,  16,  16384,  40172,  16,  16,   0, 115530776, 115381576, 109552520, 115367656, 114284048
 13867,  16,  16384,  46501,  16,  13,   2, 114190528, 113870416, 115273096, 115178416, 114087208
 13868,  16,  16384,  18977,  13,  13,   0, 114152536, 114032000, 114200088, 114036728, 113281872
 13869,  16,  16384,  38837,  13,  12,   1, 114243624, 111875648, 110227616, 112964952, 113801424
 13870,  16,  16384,  17198,  12,  16,   2, 113827816, 113770536, 113811392, 113907728, 115408328
 13871,  16,  16384,  21980,  16,   6,   3, 109796704, 115344128, 114196280, 114155560, 108806632
 13872,  16,  16384,  45075,   6,   7,   1, 110151368, 110332008, 108960936, 108899056, 105630472
 13873,  16,  16384,  11982,   7,   7,   0, 111550312, 110190296, 110500488, 111144544, 110420616
 13874,  16,  16384,  28893,   7,   6,   1, 111635832, 110352456, 111321736, 111401536, 109062976
 13875,  16,  16384,  37986,   6,   0,   3, 110399752, 110092240, 110073400, 103052944, 112855400
 13876,  16,  16384,  41466,   0,   1,   1, 107893912, 113418728, 112649104, 113184832, 113188808
 13877,  16,  16384,   3262,   1,   1,   0, 114056264, 114132512, 114181704, 113786400, 112858528
 13878,  16,  16384,  46692,   1,   0,   1, 107923368, 114250440, 112881104, 114198560, 112693240
 13879,  16,  16384,  20585,   0,   3,   2, 113412816, 113612992, 113358808, 113601328, 105325024
 13880,  16,  16384,  38344,   3,   3,   0, 111580648, 109523760, 110279056, 111568992, 111837320
 13881,  16,  16384,  21580,   3,  11,   3, 110016912, 111099208, 111286032, 111744264, 111655152
 13882,  16,  16384,   1372,  11,  12,   3, 111491392, 111360960, 110418264, 110428408, 112401288
 13883,  16,  16384,  21957,  12,  16,   2, 112558848, 113546392, 107384688, 113626872, 115649600
 13884,  16,  16384,  14658,  16,   1,   3, 115381272, 115440184, 114219120, 115250432, 110642288
 13885,  16,  16384,  10576,   1,   0,   1, 113985072, 113181288, 113919352, 114155816, 113024080
 13886,  16,  16384,   7312,   0,  19,   3, 113959216, 113644432, 113513888, 113797992, 113760448
 13887,  16,  16384,  26430,  19,  18,   1, 112128744, 113360744, 113300048, 112105408, 112626392
 13888,  16,  16384,  34336,  18,  21,   2, 110018880, 112454760, 106707856, 112283152, 115993024
 13889,  16,  16384,  42056,  21,  19,   2, 115986528, 114484232, 114559344, 115917992, 113346160
 13890,  16,  16384,   4453,  19,  19,   0, 113156568, 111860160, 111795984, 107934736, 113250528
 13891,  16,  16384,  36914,  19,  19,   0, 113332280, 113169248, 112804040, 112240672, 113561448
 13892,  16,  16384,  40401,  19,   5,   3, 112159816, 113129096, 113452048, 111956840, 113968248
 13893,  16,  16384,  21758,   5,   5,   0, 112781120, 113960472, 113885328, 114035792, 112955192
 13894,  16,  16384,  35738,   5,   5,   0, 114449824, 114358768, 111535592, 113907832, 110384352
 13895,  16,  16384,  17474,   5,   1,   2, 114128072, 113961456, 112893800, 113602648, 113939296
 13896,  16,  16384,  12086,   1,   4,   2, 114212072, 112833552, 114224224, 113983600, 106496256
 13897,  16,  16384,  40078,   4,   0,   2, 110953640, 113542768, 113359480, 113521680, 112979408
 13898,  16,  16384,  17152,   0,  19,   3, 113383984, 113340984, 113310976, 113331168, 113617352
 13899,  16,  16384,  14953,  19,  19,   0, 113442008, 110811424, 113205456, 113078280, 113391096
 13900,  16,  16384,  13213,  19,  18,   1, 107487672, 113060008, 111712976, 112910208, 112657728
 13901,  16,  16384,  17054,  18,  11,   3, 112586064, 110415744, 111978280, 112359408, 111152032
 13902,  16,  16384,    412,  11,   7,   2, 111979632, 111726440, 111408704, 110380976, 111820480
 13903,  16,  16384,  32030,   7,   7,   0, 111502424, 111145792, 111410392, 110176096, 111429600
 13904,  16,  16384,  45398,   7,   6,   1, 111526864, 105340784, 109979856, 111511184, 110067008
 13905,  16,  16384,  19025,   6,   6,   0, 110278848, 109605480, 109348312, 110199648, 109296576
 13906,  16,  16384,  22731,   6,   7,   1, 110354912, 110262968, 109988096, 108915480, 111503904
 13907,  16,  16384,   1165,   7,  10,   2, 111557736, 110237632, 109829904, 111452536, 109988976
 13908,  16,  16384,   2305,  10,  10,   0, 111355584, 110786840, 110908040, 110867968, 111161928
 13909,  16,  16384,  26883,  10,  10,   0, 110963184, 103673136, 110888392, 110762336, 110036624
 13910,  16,  16384,   4757,  10,  10,   0, 110620240, 110018720, 109926728, 111152488, 111180704
 13911,  16,  16384,  23462,  10,  11,   1, 111039488, 110723040, 110857072, 110832208, 111507088
 13912,  16,  16384,  16613,  11,  10,   1, 111748544, 110355256, 110732640, 111657640, 109740600
 13913,  16,  16384,   5348,  10,  10,   0, 111256928, 111013296, 110928776, 110874424, 110760704
 13914,  16,  16384,  25302,  10,   6,   2, 111139928, 110956192, 103081968, 110859400, 107938424
 13915,  16,  16384,   5158,   6,   7,   1, 106821872, 109907848, 109466360, 109493912, 111539752
 13916,  16,  16384,  26465,   7,   6,   1, 105527288, 111440480, 110166144, 111066136, 107844912
 13917,  16,  16384,  30317,   6,  10,   2, 110048392, 110020648, 109865856, 104288616, 110517336
 13918,  16,  16384,  34331,  10,   7,   2, 110099944, 110958352, 111065888, 110977792, 111694344
 13919,  16,  16384,   2200,   7,   6,   1, 111719384, 111274520, 110221616, 111465448, 107477216
 13920,  16,  16384,   5660,   6,   7,   1, 107546152, 110054376, 108797728, 109970408, 105536352
 13921,  16,  16384,  35067,   7,   7,   0, 111462920, 110320832, 111424152, 111207232, 111462400
 13922,  16,  16384,   7753,   7,   9,   2, 110161360, 111262840, 109373864, 110946768, 114302016
 13923,  16,  16384,  35318,   9,   9,   0, 112911448, 113935952, 113695760, 113243200, 113983528
 13924,  16,  16384,  17024,   9,   9,   0, 114187936, 107025184, 113236128, 114044448, 114035624
 13925,  16,  16384,  43901,   9,   9,   0, 114374072, 114084960, 113782472, 112925448, 113233432
 13926,  16,  16384,  25404,   9,   6,   2, 114298016, 114291312, 113873416, 113477456, 104450576
 13927,  16,  16384,  22588,   6,   7,   1, 110261000, 108766704, 110113176, 109908632, 111457664
 13928,  16,  16384,  40212,   7,  10,   2, 111534056, 110212672, 111544760, 111453056, 110818128
 13929,  16,  16384,  30601,  10,  11,   1, 110673888, 109961960, 110770328, 109900728, 110525192
 13930,  16,  16384,  48205,  11,   3,   3, 111554496, 111570208, 109857144, 110997088, 111668784
 13931,  16,  16384,  26251,   3,   2,   1, 111383312, 110255784, 110261408, 111321832, 110936024
 13932,  16,  16384,   2352,   2,   2,   0, 110929008, 104693936, 110432568, 110670696, 109782248
 13933,  16,  16384,   3739,   2,   0,   2, 110775128, 109578800, 110610216, 110776280, 112768392
 13934,  16,  16384,   5888,   0,   4,   2, 113929216, 113733704, 113750232, 112653640, 111505080
 13935,  16,  16384,  41857,   4,  22,   3, 114187312, 113912672, 113821808, 113907520, 112573360
 13936,  16,  16384,  41336,  22,  22,   0, 112745928, 111316376, 112530032, 111978816, 112460616
 13937,  16,  16384,    492,  22,  23,   1, 111344512, 112339296, 111146496, 112524592, 113512744
 13938,  16,  16384,  40499,  23,  22,   1, 113221808, 113288640, 111581904, 113509480, 112570744
 13939,  16,  16384,  39966,  22,  23,   1, 106973280, 112427200, 110788176, 112354232, 107805784
 13940,  16,  16384,   8464,  23,  12,   3, 113128768, 113072544, 113156120, 111894472, 113575184
 13941,  16,  16384,  20863,  12,  16,   2, 113915816, 113522624, 113715352, 112624152, 115363384
 13942,  16,  16384,  24833,  16,  17,   1, 115835672, 115325768, 115201544, 112517320, 116058896
 13943,  16,  16384,   4481,  17,  14,   2, 116310920, 115957600, 115873968, 115844984, 109861008
 13944,  16,  16384,  28924,  14,  17,   2, 110913016, 110984600, 111025656, 110668504, 114891408
 13945,  16,  16384,  22148,  17,  16,   1, 116025496, 115869784, 115794352, 115620144, 115947616
 13946,  16,  16384,  37153,  16,  16,   0, 115432792, 115234144, 109703368, 115501848, 115468120
 13947,  16,  16384,  35089,  16,  17,   1, 114193848, 114009448, 114423264, 114332848, 116205352
 13948,  16,  16384,  12734,  17,  23,   3, 115894504, 114440864, 116035744, 114495056, 113523792
 13949,  16,  16384,  12189,  23,  23,   0, 107493680, 113281808, 111981008, 113257528, 113217656
 13950,  16,  16384,   9089,  23,  23,   0, 112286896, 113292536, 113628960, 112035152, 112489032
 13951,  16,  16384,  44144,  23,  21,   2, 113603392, 113318280, 113250568, 113020344, 116093400
 13952,  16,  16384,  38647,  21,  19,   2, 115980416, 115937952, 115888304, 110109448, 113440656
 13953,  16,  16384,    654,  19,  22,   2, 112019448, 113358872, 113256256, 113388680, 111465304
 13954,  16,  16384,  32464,  22,  23,   1, 112642944, 112525008, 112586576, 112494584, 107466864
 13955,  16,  16384,   1506,  23,   9,   3, 111982432, 113189544, 111897200, 113319888, 114130240
 13956,  16,  16384,  18830,   9,  10,   2, 113042280, 114038128, 108081312, 114002448, 110893968
 13957,  16,  16384,  28947,  10,  11,   1, 110978120, 108771448, 109374712, 111058552, 111856296
 13958,  16,  16384,  12702,  11,   3,   3, 111948968, 111637328, 111486368, 111572440, 110625192
 13959,  16,  16384,  29605,   3,   2,   1, 111198840, 111342576, 111540864, 111422104, 110840560
 13960,  16,  16384,  37476,   2,   4,   2, 111284016, 110815664, 110906408, 110610184, 111869176
 13961,  16,  16384,  31470,   4,  13,   3, 113742768, 112678800, 113821568, 113827904, 113232032
 13962,  16,  16384,   6806,  13,  23,   3, 112905192, 114090720, 114198560, 114189560, 113426568
 13963,  16,  16384,  35754,  23,  22,   1, 112128416, 113112856, 112139528, 113152112, 112656032
 13964,  16,  16384,  11567,  22,  23,   1, 111512920, 106728032, 112172304, 112511096, 113247896
 13965,  16,  16384,  21629,  23,  21,   2, 113489280, 113064496, 111722168, 111994168, 116181712
 13966,  16,  16384,  17923,  21,  21,   0, 116270648, 115733160, 114131928, 115008920, 110549536
 13967,  16,  16384,  17546,  21,  20,   1, 115975304, 115731536, 114557536, 115927416, 115684400
 13968,  16,  16384,  22148,  20,  21,   1, 114332784, 115267352, 115345400, 115330688, 114299136
 13969,  16,  16384,   8741,  21,  20,   1, 116237864, 115783136, 110132352, 115745408, 114645160
 13970,  16,  16384,  42542,  20,  19,   2, 111188312, 112531152, 114092968, 115089224, 112189808
 13971,  16,  16384,  26582,  19,   6,   3, 113420816, 113097664, 112077480, 113244832, 110372320
 13972,  16,  16384,  41988,   6,   6,   0, 110528144, 109892992, 110170528, 108807248, 104465000
 13973,  16,  16384,  18225,   6,  10,   2, 110235480, 109969864, 108856584, 110238376, 110906488
 13974,  16,  16384,  32735,  10,  11,   1, 104827488, 109707144, 110980928, 110650832, 111567048
 13975,  16,  16384,  26052,  11,  18,   3, 111587528, 111551096, 108881008, 111779768, 111496376
 13976,  16,  16384,  46953,  18,  19,   1, 112767192, 112463600, 111061680, 106770184, 112244352
 13977,  16,  16384,  40724,  19,   0,   3, 113533128, 113034896, 113111936, 111963184, 113810832
 13978,  16,  16384,   8739,   0,   1,   1, 113821448, 112097896, 113636312, 113790600, 113977168
 13979,  16,  16384,  44850,   1,   0,   1, 114195616, 112607512, 114205400, 114239064, 113949536
 13980,  16,  16384,  38899,   0,   1,   1, 113708496, 107478560, 113717648, 112300344, 113959480
 13981,  16,  16384,   8981,   1,   0,   1, 113779888, 114089312, 112784992, 114008144, 113771312
 13982,  16,  16384,   1522,   0,   0,   0, 113796920, 113672472, 113601392, 107797632, 113632368
 13983,  16,  16384,  30210,   0,   4,   2, 112570464, 113336064, 112289688, 113699480, 113711480
 13984,  16,  16384,  16336,   4,   5,   1, 112054080, 113121544, 113790832, 114027048, 114275680
 13985,  16,  16384,   7029,   5,   5,   0, 114229528, 112969568, 113918624, 113036608, 114242096
 13986,  16,  16384,    895,   5,  16,   3, 114294280, 112982488, 107564400, 113877312, 115843808
 13987,  16,  16384,  17936,  16,  16,   0, 115610552, 115551032, 114011008, 115382016, 115391416
 13988,  16,  16384,  36665,  16,  12,   2, 111570672, 112119792, 115032968, 114194056, 112619808
 13989,  16,  16384,  30488,  12,   7,   3, 113750736, 113511600, 113524368, 113650664, 111427040
 13990,  16,  16384,   8691,   7,   7,   0, 109574776, 111411192, 111296872, 111632040, 111891704
 13991,  16,  16384,  36236,   7,   7,   0, 111466416, 111425384, 110349872, 110162560, 111684592
 13992,  16,  16384,  24083,   7,   7,   0, 105652864, 111661736, 110265040, 110516592, 111706560
 13993,  16,  16384,   5263,   7,   1,   3, 111540696, 111490152, 111466424, 111331720, 113163656
 13994,  16,  16384,  48829,   1,  11,   3, 113982920, 107732504, 113759304, 113712216, 105591400
 13995,  16,  16384,  10438,  11,  14,   3, 111668832, 111099528, 111427968, 111386208, 110969464
 13996,  16,  16384,  11333,  14,  18,   3, 111128920, 110860856, 110733496, 110793152, 112644288
 13997,  16,  16384,  46477,  18,  19,   1, 105620408, 111247912, 112436792, 112255864, 112165232
 13998,  16,  16384,  47842,  19,  19,   0, 113382344, 113356912, 113236312, 113547712, 112382480
 13999,  16,  16384,  26598,  19,  19,   0, 112006312, 113089936, 112653184, 112733488, 113311136
 14000,  16,  16384,  28991,  19,  21,   2, 113587792, 112062280, 113401544, 113351888, 116183520
 14001,  16,  16384,  25520,  21,  20,   1, 116411344, 115720296, 115707088, 116075392, 115376984
 14002,  16,  16384,  35627,  20,  21,   1, 114426656, 108842016, 114556176, 114250248, 113284048
 14003,  16,  16384,  12441,  21,  21,   0, 115084824, 115819472, 115543936, 116007768, 116027048
 14004,  16,  16384,  42089,  21,  15,   3, 115942856, 115960496, 114477896, 110131408, 111393384
 14005,  16,  16384,  49774,  15,  17,   2, 111577840, 111432648, 110314200, 107990712, 115935016
 14006,  16,  16384,  30117,  17,  17,   0, 116351248, 115963400, 115868704, 108962336, 115942120
 14007,  16,  16384,    558,  17,  12,   2, 116027744, 115845792, 113046104, 114965720, 113682336
 14008,  16,  16384,  19889,  12,  12,   0, 114060176, 113333696, 113420792, 113575232, 112674704
 14009,  16,  16384,  15634,  12,  13,   1, 108984712, 111779408, 113423952, 113940056, 112168080
 14010,  16,  16384,  26062,  13,   7,   3, 114359040, 114134632, 114097808, 113990176, 111338032
 14011,  16,  16384,  21086,   7,   7,   0, 111694752, 110132120, 110254768, 111622992, 111777776
 14012,  16,  16384,  20467,   7,   6,   1, 111591696, 111382752, 105234976, 108941512, 110205368
 14013,  16,  16384,  19525,   6,  20,   3, 109077536, 110449336, 103149864, 109972904, 114094800
 14014,  16,  16384,  20105,  20,  13,   3, 109951632, 115641968, 115371232, 114150800, 114351816
 14015,  16,  16384,  21380,  13,  12,   1, 114345424, 114021944, 113831176, 114087792, 112850760
 14016,  16,  16384,  31110,  12,  12,   0, 113993584, 107661240, 112371040, 113951672, 112898040
 14017,  16,  16384,  17652,  12,  13,   1, 113731432, 113757736, 113898072, 113730424, 114451080
 14018,  16,  16384,  13884,  13,   2,   3, 114325936, 112831544, 108013496, 114075368, 109484344
 14019,  16,  16384,  39946,   2,   5,   2, 111006200, 110811336, 109749776, 110597568, 114267040
 14020,  16,  16384,  38484,   5,  11,   3, 114008360, 113779472, 114034296, 112797040, 111493176
 14021,  16,  16384,  31364,  11,  17,   3, 110557712, 111151608, 111668496, 111562640, 115858016
 14022,  16,  16384,    887,  17,  14,   2, 116322896, 114776984, 115907344, 115904240, 111016312
 14023,  16,  16384,  20993,  14,  17,   2, 110882016, 110949032, 109818816, 110900336, 116074360
 14024,  16,  16384,  36700,  17,  17,   0, 114769456, 116056936, 115884896, 114803480, 116427728
 14025,  16,  16384,  44055,  17,  13,   2, 116169968, 115959560, 114733264, 115752296, 113027128
 14026,  16,  16384,  45051,  13,   6,   3, 113126888, 114112200, 113916528, 114195336, 109243328
 14027,  16,  16384,  17580,   6,   6,   0, 110235328, 110224712, 109908384, 110091840, 104298576
 14028,  16,  16384,   2139,   6,   6,   0, 110455240, 109842720, 108219240, 108202240, 110359048
 14029,  16,  16384,  33118,   6,   9,   2, 110129768, 110042632, 109225424, 110249464, 113916296
 14030,  16,  16384,  34391,   9,   0,   3, 114472720, 114269592, 111798456, 114223760, 113953768
 14031,  16,  16384,   5383,   0,   1,   1, 113706488, 113701616, 112351600, 113460080, 113185536
 14032,  16,  16384,  22252,   1,  22,   3, 113961544, 114256216, 114140072, 113687240, 112364696
 14033,  16,  16384,   7828,  22,  21,   2, 111304536, 111097928, 112615312, 112495752, 114945064
 14034,  16,  16384,  36078,  21,  20,   1, 116106640, 114366024, 115948552, 115957664, 109799248
 14035,  16,  16384,  31892,  20,  20,   0, 115776056, 115328976, 113811248, 115231704, 113807832
 14036,  16,  16384,  43822,  20,  22,   2, 115652088, 115566944, 114207888, 114148768, 112581472
 14037,  16,  16384,  35619,  22,  22,   0, 112364800, 111559168, 111195040, 111406552, 112379392
 14038,  16,  16384,  32472,  22,  22,   0, 111374632, 112575880, 112516920, 112470208, 112685024
 14039,  16,  16384,  24106,  22,  22,   0, 112603848, 112391152, 111709512, 111598856, 111198384
 14040,  16,  16384,   8377,  22,  13,   3, 112639096, 112601704, 111393008, 112310840, 113381424
 14041,  16,  16384,  36965,  13,  12,   1, 114125016, 114109760, 114105104, 114157256, 112542512
 14042,  16,  16384,   3239,  12,  16,   2, 113850656, 113575464, 111581880, 113577896, 115344632
 14043,  16,  16384,   2877,  16,  14,   2, 114556248, 114347192, 114285536, 115488776, 110975224
 14044,  16,  16384,  13119,  14,  15,   1, 111147808, 109558072, 109709760, 105086696, 111973616
 14045,  16,  16384,  10097,  15,  15,   0, 110653240, 111698704, 105586648, 111296872, 111555952
 14046,  16,  16384,   8811,  15,  15,   0, 111712608, 111665968, 111450168, 111316624, 108179952
 14047,  16,  16384,  27904,  15,   7,   3, 111627552, 111388800, 111636536, 110274832, 111249000
 14048,  16,  16384,  39769,   7,   4,   3, 110493208, 111317712, 111580256, 111314800, 114068480
 14049,  16,  16384,  17096,   4,   4,   0, 114015528, 113809624, 113635328, 113598440, 112736312
 14050,  16,  16384,  30240,   4,   4,   0, 112320352, 112719456, 113783184, 112559312, 113826000
 14051,  16,  16384,   8255,   4,   4,   0, 113903608, 113954488, 113453688, 113706936, 113919968
 14052,  16,  16384,  14409,   4,  17,   3, 113705152, 113918384, 106035904, 112685408, 110437040
 14053,  16,  16384,  27529,  17,  16,   1, 116012640, 115684328, 114505984, 115649016, 114715512
 14054,  16,  16384,  12065,  16,  17,   1, 115394048, 115534288, 115414800, 115151680, 116092784
 14055,  16,  16384,  33776,  17,  16,   1, 115832360, 109878720, 115622592, 115468432, 115713704
 14056,  16,  16384,  28335,  16,  17,   1, 115973424, 114299360, 115491632, 115584624, 116188232
 14057,  16,  16384,  24427,  17,  16,   1, 115942360, 115725992, 116180296, 115767672, 115489120
 14058,  16,  16384,    349,  16,  10,   3, 115776656, 115720816, 115336368, 114247456, 111149288
 14059,  16,  16384,  26301,  10,  10,   0, 110920296, 110773752, 110860352, 109614944, 110781272
 14060,  16,  16384,   9256,  10,  11,   1, 111238504, 109862272, 109699576, 110856440, 103724560
 14061,  16,  16384,  42447,  11,   3,   3, 111522632, 111460224, 111513296, 111104168, 111364144
 14062,  16,  16384,  36934,   3,   1,   2, 111803064, 110466408, 111602544, 111301744, 114191088
 14063,  16,  16384,  19640,   1,   1,   0, 112791576, 107706896, 114076968, 112380664, 113634400
 14064,  16,  16384,  45892,   1,  12,   3, 114120760, 114068896, 113844808, 114085832, 113701360
 14065,  16,  16384,  41317,  12,  12,   0, 113875968, 113438976, 112895232, 113433768, 113621472
 14066,  16,  16384,  46225,  12,  12,   0, 112461440, 113764216, 113676168, 112674672, 112618144
 14067,  16,  16384,  12572,  12,  13,   1, 113786416, 113659184, 113283224, 112673168, 114031128
 14068,  16,  16384,  35702,  13,  17,   2, 112894680, 114020784, 114053192, 114340488, 116035864
 14069,  16,  16384,  14688,  17,  23,   3, 115272680, 115503528, 110063136, 115775632, 113163712
 14070,  16,  16384,  21660,  23,  22,   1, 113565088, 111785136, 113379576, 113234712, 112592712
 14071,  16,  16384,  21832,  22,  20,   2, 112708976, 111107584, 112496464, 112411504, 115416168
 14072,  16,  16384,  46642,  20,  22,   2, 115460816, 114110560, 115375672, 115308536, 112760528
 14073,  16,  16384,  39851,  22,  22,   0, 106735312, 112412320, 111154120, 112540880, 109811144
 14074,  16,  16384,  35765,  22,  22,   0, 112495688, 112542472, 112523968, 112500776, 111155104
 14075,  16,  16384,  14789,  22,  11,   3, 112468160, 112228752, 111190984, 107748496, 111435144
 14076,  16,  16384,  46057,  11,   4,   3, 107566816, 108528696, 110532984, 111387344, 113720448
 14077,  16,  16384,  40553,   4,   0,   2, 113770776, 107461816, 113473776, 112904960, 113300136
 14078,  16,  16384,  22183,   0,   1,   1, 112912344, 113718648, 112690744, 113585544, 113149008
 14079,  16,  16384,   9874,   1,  20,   3, 114126944, 113778696, 113888936, 114097576, 113321504
 14080,  16,  16384,   8884,  20,  21,   1, 115646960, 115251136, 114543184, 114238512, 115952544
 14081,  16,  16384,  17765,  21,  21,   0, 112032944, 114437840, 115971056, 115900312, 115997128
 14082,  16,  16384,  35443,  21,   5,   3, 116270096, 116042216, 115920864, 115679872, 114020784
 14083,  16,  16384,  28478,   5,   4,   1, 112956120, 114055200, 109498976, 110087600, 114057528
 14084,  16,  16384,   6752,   4,   5,   1, 114077632, 113546592, 112691144, 112376496, 113983504
 14085,  16,  16384,  31793,   5,   5,   0, 113334520, 113598216, 112870592, 114076256, 108104336
 14086,  16,  16384,  28671,   5,   2,   2, 112970144, 113623616, 114059296, 114063248, 111302304
 14087,  16,  16384,   6870,   2,   3,   1, 110026584, 104731488, 110702208, 110387520, 111316064
 14088,  16,  16384,   1354,   3,  11,   3, 111390688, 111511024, 111455544, 110360472, 111745480
 14089,  16,  16384,  49571,  11,  11,   0, 111759856, 111594568, 110443768, 111354384, 111545712
 14090,  16,  16384,   8758,  11,  10,   1, 111829272, 110222208, 111333424, 111264008, 111092056
 14091,  16,  16384,   5872,  10,  15,   3, 110896280, 110870664, 109548712, 110868976, 110544872
 14092,  16,  16384,  18631,  15,  14,   1, 111652264, 111473008, 111229512, 111578776, 110795296
 14093,  16,  16384,  46607,  14,  14,   0, 111291672, 109729672, 110578888, 109510576, 109960176
 14094,  16,  16384,  11483,  14,  13,   2, 111067752, 109958568, 111191120, 110720128, 114516784
 14095,  16,  16384,   6310,  13,  12,   1, 107131712, 112871832, 113114472, 114229448, 113723704
 14096,  16,  16384,  33580,  12,  14,   2, 113646896, 113472424, 112154184, 107348888, 111249768
 14097,  16,  16384,   9567,  14,  12,   2, 110735488, 109843384, 110795424, 111220416, 114012136
 14098,  16,  16384,   5389,  12,  13,   1, 113798040, 113411544, 113378456, 113466024, 114237888
 14099,  16,  16384,   5111,  13,  15,   2, 114363168, 114048400, 113915032, 112916664, 111483016
 14100,  16,  16384,  10049,  15,  17,   2, 111410632, 110449376, 111552472, 102729808, 115830016
 14101,  16,  16384,  21754,  17,  14,   2, 116206800, 115986992, 115608016, 115957584, 110628752
 14102,  16,  16384,  13223,  14,  14,   0, 110550032, 110963808, 111027360, 111139816, 111283728
 14103,  16,  16384,   5376,  14,  14,   0, 111149600, 104468536, 109886424, 110710200, 109747416
 14104,  16,  16384,  17692,  14,  15,   1, 111165368, 110901872, 110966688, 109744848, 110861872
 14105,  16,  16384,  20358,  15,  14,   1, 111944368, 111487640, 104513160, 110267320, 107741704
 14106,  16,  16384,  33302,  14,  14,   0, 109715456, 109561536, 110645504, 110896376, 110027272
 14107,  16,  16384,  43936,  14,  15,   1, 111059056, 111080944, 110912360, 111053496, 111547880
 14108,  16,  16384,  23753,  15,   0,   3, 111681088, 111348120, 111110432, 111443192, 113611456
 14109,  16,  16384,  45247,   0,   4,   2, 113661672, 113428896, 111021712, 113544584, 113989688
 14110,  16,  16384,   8364,   4,   8,   3, 113728272, 113734656, 113678984, 112724880, 113967200
 14111,  16,  16384,  37669,   8,   9,   1, 113786520, 113682000, 113553800, 113732712, 114314296
 14112,  16,  16384,  31603,   9,  19,   3, 114056640, 114224640, 114025584, 112817512, 113357224
 14113,  16,  16384,  44298,  19,  18,   1, 113228184, 113415472, 113229664, 112127592, 112186704
 14114,  16,  16384,  46719,  18,  10,   3, 112535064, 107092176, 111865240, 111141224, 109725664
 14115,  16,  16384,  20471,  10,   7,   2, 111138984, 110866896, 110959104, 110812776, 110384168
 14116,  16,  16384,  17261,   7,   7,   0, 111557440, 111358088, 110449728, 111329672, 109003632
 14117,  16,  16384,   5516,   7,  11,   2, 111509320, 111566360, 111397872, 111121488, 111615584
 14118,  16,  16384,  24406,  11,  22,   3, 111656088, 110037440, 104867112, 111286144, 112614240
 14119,  16,  16384,  42063,  22,  19,   2, 112608184, 112412648, 111094808, 111203016, 113390992
 14120,  16,  16384,  22366,  19,  12,   3, 113416264, 113279272, 112217968, 110782584, 111877608
 14121,  16,  16384,  26885,  12,  13,   1, 113227528, 113535592, 113351344, 113867984, 114181016
 14122,  16,  16384,  11557,  13,  12,   1, 114125680, 114098864, 112845784, 113111520, 111345912
 14123,  16,  16384,   9418,  12,  15,   2, 113703768, 112976592, 111878768, 113742880, 111504632
 14124,  16,  16384,  41121,  15,   5,   3, 110438336, 111597632, 105357952, 111379640, 113887912
 14125,  16,  16384,   5684,   5,   4,   1, 113881680, 113914392, 112722520, 113112008, 113163696
 14126,  16,  16384,  27331,   4,   4,   0, 114010672, 113674848, 113380024, 113963104, 114201536
 14127,  16,  16384,  42244,   4,   5,   1, 112837152, 112584784, 113849752, 112784816, 113073168
 14128,  16,  16384,  26662,   5,   4,   1, 114186120, 112975848, 114188232, 114162904, 114016824
 14129,  16,  16384,  39066,   4,   5,   1, 113799216, 113974952, 111188448, 113933808, 114305672
 14130,  16,  16384,  27781,   5,  19,   3, 111560520, 114061944, 112823112, 113935544, 112140240
 14131,  16,  16384,  36792,  19,  22,   2, 113352128, 113262760, 111916704, 111706864, 112548328
 14132,  16,  16384,  30777,  22,  22,   0, 112480232, 112284992, 111315312, 111637240, 112754632
 14133,  16,  16384,  33736,  22,  22,   0, 111433000, 112508504, 112039352, 112194240, 112748728
 14134,  16,  16384,  26246,  22,  23,   1, 106996808, 112286568, 112294080, 111867032, 113310072
 14135,  16,  16384,  37828,  23,  20,   2, 113149872, 111814032, 113319776, 113198160, 115259384
 14136,  16,  16384,  30386,  20,  22,   2, 114701808, 115035728, 114279344, 114021400, 111639088
 14137,  16,  16384,  17050,  22,  22,   0, 112706392, 111484392, 111442320, 112102432, 112596888
 14138,  16,  16384,  37317,  22,   4,   3, 112463968, 112307320, 111032464, 112427928, 107887064
 14139,  16,  16384,  43985,   4,   5,   1, 113837080, 112563600, 113431344, 112538912, 114066816
 14140,  16,  16384,  12108,   5,  23,   3, 112879224, 114064520, 107681008, 113643800, 113451128
 14141,  16,  16384,  32454,  23,  15,   3, 113370272, 111937944, 110259640, 109966872, 105617392
 14142,  16,  16384,  19875,  15,  16,   2, 111736168, 111774592, 109578840, 111888160, 115696096
 14143,  16,  16384,  14595,  16,  15,   2, 114282568, 115535336, 115516568, 114202296, 109073328
 14144,  16,  16384,  20000,  15,  14,   1, 111842056, 110259392, 106567856, 110909688, 110930696
 14145,  16,  16384,  40179,  14,  13,   2, 110047176, 110721432, 110939144, 111008344, 114364048
 14146,  16,  16384,  40455,  13,  20,   3, 105750784, 114034136, 113996392, 113823064, 115515648
 14147,  16,  16384,  27205,  20,  21,   1, 114820856, 113738520, 109806736, 114217432, 116238456
 14148,  16,  16384,  15991,  21,  20,   1, 115978600, 114399160, 114982264, 115950288, 115651032
 14149,  16,  16384,  28703,  20,   7,   3, 115366760, 115568432, 114182008, 113845736, 111264816
 14150,  16,  16384,  24928,   7,   2,   3, 111669088, 111530048, 111445264, 111621624, 109975704
 14151,  16,  16384,  38206,   2,   3,   1, 109751072, 110612672, 110732248, 110549864, 110241208
 14152,  16,  16384,  38690,   3,   2,   1, 105572088, 111367080, 111153592, 111181208, 109597944
 14153,  16,  16384,   3741,   2,   3,   1, 109597904, 109852624, 110473384, 110628536, 111369168
 14154,  16,  16384,  36897,   3,  22,   3, 111286952, 110223400, 111388240, 105280352, 112551328
 14155,  16,  16384,  38795,  22,  23,   1, 112584376, 109957432, 111226864, 112548432, 113308168
 14156,  16,  16384,  41977,  23,  22,   1, 113441232, 113372904, 112966928, 111961544, 112583584
 14157,  16,  16384,   5532,  22,  23,   1, 106720264, 112140016, 109816720, 111538960, 107524336
 14158,  16,  16384,  37354,  23,  22,   1, 113533240, 113283480, 113345800, 113399280, 112678224
 14159,  16,  16384,  15826,  22,  19,   2, 112505624, 112072840, 107850312, 110982448, 113497656
 14160,  16,  16384,  18518,  19,  19,   0, 112167384, 113233680, 113155136, 113216984, 113704728
 14161,  16,  16384,  36081,  19,  18,   1, 113292264, 111910952, 112064968, 113296448, 112189096
 14162,  16,  16384,  28235,  18,  23,   2, 108858336, 112724392, 112499576, 112480480, 113437648
 14163,  16,  16384,  18649,  23,  23,   0, 113676096, 113178528, 111857400, 112066456, 113248344
 14164,  16,  16384,  45590,  23,  22,   1, 113463632, 113187560, 111650512, 107529448, 105717736
 14165,  16,  16384,  41488,  22,  23,   1, 112441344, 112032856, 112171360, 112308528, 113313048
 14166,  16,  16384,  46539,  23,  23,   0, 113657104, 113552320, 112303272, 113040632, 104957944
 14167,  16,  16384,  45609,  23,  23,   0, 113183928, 113059480, 113119184, 113239984, 111834192
 14168,  16,  16384,  37658,  23,  12,   3, 112358064, 113191144, 113205408, 113320632, 113859520
 14169,  16,  16384,   9918,  12,  10,   3, 113842216, 113827704, 112770192, 113529008, 111038408
 14170,  16,  16384,  43494,  10,  10,   0, 111213152, 110816632, 109758352, 111027336, 104843624
 14171,  16,  16384,   2554,  10,  11,   1, 110863592, 110865200, 110664992, 108412000, 111530944
 14172,  16,  16384,  27857,  11,  11,   0, 111685176, 111253728, 104745392, 110940800, 111344872
 14173,  16,  16384,  20053,  11,   6,   2, 111495456, 110172560, 110180768, 111582096, 109775768
 14174,  16,  16384,  19001,   6,   7,   1, 103556600, 110367360, 109843464, 110009056, 110586216
 14175,  16,  16384,  27444,   7,   9,   2, 111648096, 111204656, 111302432, 106462616, 113054440
 14176,  16,  16384,   2541,   9,   6,   2, 114363064, 114164336, 114033896, 114222288, 110143912
 14177,  16,  16384,  30013,   6,   7,   1, 109072536, 110078720, 110311576, 108933864, 106962120
 14178,  16,  16384,   1446,   7,  16,   3, 109077744, 110194256, 111190504, 111211040, 114338088
 14179,  16,  16384,  49087,  16,  22,   3, 115550792, 114071208, 115430880, 112591416, 112467680
 14180,  16,  16384,  37471,  22,  23,   1, 111549536, 112101960, 112683312, 112246896, 113686832
 14181,  16,  16384,  10487,  23,   7,   3, 111657480, 107897040, 113267544, 113237048, 110265568
 14182,  16,  16384,   3081,   7,   9,   2, 111983160, 111483768, 110315832, 105412192, 114323256
 14183,  16,  16384,  11675,   9,   9,   0, 114091800, 113916592, 114389152, 113792544, 113204440
 14184,  16,  16384,  37772,   9,   9,   0, 113093344, 112978824, 114083160, 114256672, 114242680
 14185,  16,  16384,  47266,   9,  11,   2, 112443728, 108971928, 114060888, 114072928, 110694784
 14186,  16,  16384,  22457,  11,  22,   3, 110483328, 111126184, 104702168, 110989216, 112351200
 14187,  16,  16384,  19091,  22,  22,   0, 112441408, 112143584, 112436944, 112503536, 112235888
 14188,  16,  16384,  12904,  22,  18,   2, 106786320, 111162256, 110457384, 111912784, 112537632
 14189,  16,  16384,   4422,  18,  20,   2, 112652096, 111038848, 106495280, 112245736, 115636376
 14190,  16,  16384,  25785,  20,   5,   3, 110013024, 114041128, 115466360, 114138576, 113943752
 14191,  16,  16384,  29958,   5,   5,   0, 112765368, 113923856, 112635456, 113969360, 113979672
 14192,  16,  16384,  36307,   5,   4,   1, 107296336, 113902528, 114232200, 112750776, 113962784
 14193,  16,  16384,   3279,   4,  18,   3, 114143424, 106700392, 113914232, 113865928, 112480680
 14194,  16,  16384,  37331,  18,  20,   2, 106847168, 112459728, 112425752, 112363992, 115426056
 14195,  16,  16384,  25831,  20,  18,   2, 114893288, 114835168, 115194448, 112871968, 111539736
 14196,  16,  16384,  12511,  18,  19,   1, 112844560, 112399976, 106682416, 111993688, 113267128
 14197,  16,  16384,   9754,  19,  18,   1, 113467760, 112802600, 113252184, 105306440, 112713984
 14198,  16,  16384,  28871,  18,   8,   3, 112741896, 112522152, 111041560, 112632808, 113863000
 14199,  16,  16384,  17122,   8,   3,   3, 113686712, 113707528, 113845160, 112753328, 105375920
 14200,  16,  16384,   9585,   3,   3,   0, 109194112, 111219664, 111229288, 111269328, 110158056
 14201,  16,  16384,  43871,   3,   9,   3, 111340696, 111421976, 110307168, 111414616, 114256912
 14202,  16,  16384,  29050,   9,   8,   1, 114086368, 114150304, 114058296, 114180584, 113530536
 14203,  16,  16384,  34177,   8,   9,   1, 113915128, 112409912, 113771376, 113663632, 113384928
 14204,  16,  16384,  21919,   9,   4,   3, 114329184, 114183152, 114112256, 113867640, 106481816
 14205,  16,  16384,  31674,   4,   4,   0, 113847936, 113846240, 113566392, 112603568, 113981808
 14206,  16,  16384,  49257,   4,   4,   0, 112802336, 113729512, 113841096, 112571064, 113962992
 14207,  16,  16384,  49082,   4,   5,   1, 113814768, 108542176, 112124376, 113912408, 114125104
 14208,  16,  16384,  31983,   5,   0,   2, 113246200, 114055456, 114073208, 113799744, 112642768
 14209,  16,  16384,  33588,   0,   0,   0, 113594128, 113770104, 112447208, 113812304, 107448864
 14210,  16,  16384,  49495,   0,   0,   0, 112702288, 113600920, 113465464, 112538896, 113826256
 14211,  16,  16384,  27676,   0,   0,   0, 113647176, 112401464, 113693128, 112523272, 113722216
 14212,  16,  16384,   5733,   0,   5,   2, 113748544, 113752392, 106622032, 113215408, 114364896
 14213,  16,  16384,   1102,   5,   4,   1, 114052928, 113896184, 114128280, 114163384, 114105184
 14214,  16,  16384,  16248,   4,  21,   3, 113112456, 113705952, 113835416, 113790528, 114827952
 14215,  16,  16384,  33316,  21,  20,   1, 116163664, 115582800, 115661384, 115626832, 115685096
 14216,  16,  16384,  44357,  20,  18,   2, 110035520, 115484904, 114274024, 115296064, 111381296
 14217,  16,  16384,  36333,  18,  19,   1, 111537456, 111217416, 112204640, 111326472, 113491328
 14218,  16,  16384,    726,  19,  21,   2, 113418752, 113137880, 113103216, 111857208, 114823784
 14219,  16,  16384,  33805,  21,  21,   0, 113390576, 109761152, 114917944, 115738328, 115910408
 14220,  16,  16384,  47895,  21,  22,   2, 116123624, 115906408, 115950584, 115866256, 112672704
 14221,  16,  16384,  34943,  22,  16,   3, 112578184, 111112360, 112513552, 103384680, 114254320
 14222,  16,  16384,  21275,  16,  16,   0, 115482920, 114177480, 114643600, 113982944, 115656968
 14223,  16,  16384,  30668,  16,  17,   1, 114201920, 115603792, 115296592, 115423304, 115973400
 14224,  16,  16384,  36237,  17,  16,   1, 115792080, 115984432, 115968344, 115811600, 115902656
 14225,  16,  16384,  38893,  16,  16,   0, 110014376, 114223936, 115135304, 115142960, 115660952
 14226,  16,  16384,   8377,  16,  17,   1, 115425576, 115453216, 114352912, 115684728, 116132424
 14227,  16,  16384,  48869,  17,  16,   1, 116197672, 115700464, 116023536, 114555776, 115514192
 14228,  16,  16384,  47510,  16,   8,   3, 115497232, 115322912, 115226240, 114297000, 112336456
 14229,  16,  16384,  21185,   8,   9,   1, 112880184, 113529552, 113721696, 112761024, 112937200
 14230,  16,  16384,  11455,   9,   9,   0, 113311720, 114087080, 108267824, 113202432, 114310936
 14231,  16,  16384,  22729,   9,  20,   3, 114117336, 113979296, 113819816, 114120240, 108712128
 14232,  16,  16384,  17050,  20,   2,   3, 114405776, 115263336, 115468024, 115498232, 110777680
 14233,  16,  16384,   7732,   2,   2,   0, 111037816, 110809912, 110729976, 110460792, 111111736
 14234,  16,  16384,  20056,   2,   0,   2, 110997464, 109637776, 110910128, 110711736, 113950496
 14235,  16,  16384,  22212,   0,   0,   0, 113717048, 113559784, 113644816, 112649448, 113771096
 14236,  16,  16384,   4794,   0,   1,   1, 113615288, 113718656, 107499344, 112588528, 114069512
 14237,  16,  16384,  17511,   1,   4,   2, 114229192, 113657928, 113197656, 113018960, 107867680
 14238,  16,  16384,  30562,   4,  15,   3, 113641552, 113212384, 113753424, 113710392, 110982528
 14239,  16,  16384,  34311,  15,   1,   3, 111860912, 111620832, 110226736, 111305728, 113032616
 14240,  16,  16384,  15885,   1,   0,   1, 114184984, 112777096, 114057024, 114285072, 113539888
 14241,  16,  16384,  33865,   0,   4,   2, 113799952, 112526200, 112867200, 112023624, 113856192
 14242,  16,  16384,  46438,   4,   2,   2, 113676720, 113887120, 113909368, 113623752, 109670648
 14243,  16,  16384,  44180,   2,   4,   2, 110883592, 110749912, 110794368, 110722944, 112603208
 14244,  16,  16384,  11690,   4,   5,   1, 113799464, 113825248, 113942760, 113555784, 114370848
 14245,  16,  16384,  11756,   5,   7,   3, 114065784, 114129536, 107792592, 112544792, 111475264
 14246,  16,  16384,  27642,   7,   7,   0, 110327392, 111246216, 111416120, 110671624, 111229632
 14247,  16,  16384,  35145,   7,   6,   1, 109121808, 111337104, 111408904, 105146888, 109972680
 14248,  16,  16384,  28837,   6,   7,   1, 110054480, 108778808, 110136856, 108662928, 110284120
 14249,  16,  16384,  23836,   7,   8,   2, 111515736, 111571336, 109219920, 111263240, 113727200
 14250,  16,  16384,  14795,   8,   9,   1, 113846472, 113744312, 112359152, 106184704, 114359472
 14251,  16,  16384,   4144,   9,   7,   2, 114174752, 105032800, 114135520, 114058288, 110481536
 14252,  16,  16384,  24315,   7,   1,   3, 111803968, 108803648, 107800024, 111273720, 114240976
 14253,  16,  16384,  30014,   1,   0,   1, 113919352, 113946080, 113087944, 105039864, 113741480
 14254,  16,  16384,    636,   0,  19,   3, 113871808, 113656624, 113732792, 112500608, 113427872
 14255,  16,  16384,  38609,  19,  18,   1, 113316544, 113290864, 113104320, 112730976, 111199760
 14256,  16,  16384,   7822,  18,  20,   2, 112404248, 112759896, 111346088, 112328168, 115764896
 14257,  16,  16384,   1609,  20,  18,   2, 115770264, 115334136, 115556904, 115304456, 112492312
 14258,  16,  16384,  37616,  18,  18,   0, 111508000, 106125712, 112068392, 112297896, 112568792
 14259,  16,  16384,  45377,  18,  16,   3, 112886560, 112679152, 112693288, 111241088, 114250520
 14260,  16,  16384,   3702,  16,  22,   3, 114384912, 109425344, 114635496, 113528400, 112886816
 14261,  16,  16384,   7071,  22,  22,   0, 111173040, 112482328, 112437568, 112322232, 111734968
 14262,  16,  16384,  36290,  22,  19,   2, 112528232, 112680376, 112585696, 112358704, 113502568
 14263,  16,  16384,  36081,  19,  14,   3, 111923920, 112956392, 113256024, 104267296, 110772200
 14264,  16,  16384,  22407,  14,  15,   1, 111165528, 110885384, 110930656, 110589112, 111380704
 14265,  16,  16384,  10360,  15,  14,   1, 111417536, 111267016, 105764904, 111561800, 110992160
 14266,  16,  16384,  45429,  14,  22,   3, 111161680, 111194992, 110742872, 110603136, 112880688
 14267,  16,  16384,  21512,  22,  23,   1, 112440136, 112362728, 111208664, 111105864, 113262536
 14268,  16,  16384,  26764,  23,  22,   1, 110631560, 113246080, 113274576, 113321232, 112513392
 14269,  16,  16384,  32128,  22,  23,   1, 112320296, 112175656, 112407088, 112376824, 112103800
 14270,  16,  16384,   5719,  23,  23,   0, 113585064, 110615176, 113678576, 113316632, 113348464
 14271,  16,  16384,   9517,  23,  12,   3, 113204440, 113203392, 111793928, 107349656, 104608480
 14272,  16,  16384,  24557,  12,  19,   3, 113286688, 113735984, 113399672, 113730072, 113641360
 14273,  16,  16384,  16359,  19,  18,   1, 113684640, 113272744, 107328264, 112975296, 112444264
 14274,  16,  16384,  23903,  18,   9,   3, 112410664, 112097672, 109943904, 112567592, 114243568
 14275,  16,  16384,   2191,   9,   5,   3, 114103200, 112682720, 114040312, 114016272, 107849128
 14276,  16,  16384,   4178,   5,   4,   1, 114171432, 113869736, 113887664, 112800400, 112717352
 14277,  16,  16384,  24799,   4,   7,   3, 113797488, 113282984, 113504224, 113427208, 111261616
 14278,  16,  16384,  32257,   7,   6,   1, 110555592, 111477008, 111288208, 111675288, 110310408
 14279,  16,  16384,  39168,   6,   9,   2, 104361072, 110236224, 108801784, 108799656, 114190392
 14280,  16,  16384,  16635,   9,   8,   1, 113154848, 114037200, 112911008, 114148352, 113947656
 14281,  16,  16384,   2480,   8,  10,   2, 113764208, 113058984, 109564120, 110108936, 104982384
 14282,  16,  16384,  21353,  10,  10,   0, 111043208, 109884952, 110855976, 110835968, 109989072
 14283,  16,  16384,   8843,  10,  11,   1, 109850680, 110846136, 110833520, 110774696, 111338752
 14284,  16,  16384,  27608,  11,  10,   1, 111655632, 102480744, 111577408, 111370552, 110506896
 14285,  16,  16384,   9601,  10,  10,   0, 111124200, 109634656, 110735824, 109490168, 110851144
 14286,  16,  16384,  10870,  10,   8,   2, 111136680, 110891520, 109750296, 110820568, 113723008
 14287,  16,  16384,  39451,   8,   8,   0, 113560304, 113442648, 113510800, 112515144, 113593608
 14288,  16,  16384,  34857,   8,   7,   2, 114024016, 113508472, 112402912, 113509616, 109040408
 14289,  16,  16384,  47498,   7,   7,   0, 111555680, 110197968, 111543696, 111513664, 111693360
 14290,  16,  16384,  35270,   7,   8,   2, 111450048, 111361792, 111575040, 111406624, 107349408
 14291,  16,  16384,   6197,   8,   8,   0, 112124304, 113597088, 113639752, 113506544, 113690312
 14292,  16,  16384,  29979,   8,   9,   1, 113951720, 112699304, 113528472, 113876320, 114222512
 14293,  16,  16384,   4926,   9,  10,   2, 112970136, 113959976, 113957664, 113057336, 111055136
 14294,  16,  16384,   2471,  10,  11,   1, 110862192, 110949944, 109887384, 110782224, 111816696
 14295,  16,  16384,   2808,  11,   7,   2, 111636912, 111302136, 111214000, 110351336, 110268408
 14296,  16,  16384,  43960,   7,   9,   2, 110483376, 111447960, 111152720, 111417800, 114258064
 14297,  16,  16384,   1572,   9,   6,   2, 114139672, 114123784, 113995200, 107991752, 110359672
 14298,  16,  16384,  25847,   6,   7,   1, 110147816, 108779704, 110234592, 110074072, 111175184
 14299,  16,  16384,   3442,   7,   7,   0, 111561712, 111451600, 108850592, 111794712, 111482720
 14300,  16,  16384,  36516,   7,   7,   0, 111481000, 111631984, 111503712, 104054640, 110455096
 14301,  16,  16384,  13054,   7,  18,   3, 111467864, 111468552, 111516752, 111378568, 106730168
 14302,  16,  16384,   6984,  18,  18,   0, 111574248, 112659064, 112569336, 111315344, 111315728
 14303,  16,  16384,  17556,  18,  18,   0, 112717408, 112744584, 112471912, 112611200, 112543408
 14304,  16,  16384,   7953,  18,  22,   2, 111720744, 112447224, 112477640, 103829104, 112645848
 14305,  16,  16384,   2373,  22,  13,   3, 112739304, 111001592, 111260520, 112611936, 112036584
 14306,  16,  16384,  29838,  13,  20,   3, 114326504, 114066120, 113004240, 114018944, 115553864
 14307,  16,  16384,      8,  20,   0,   3, 114140016, 115525576, 114634376, 113783736, 113539992
 14308,  16,  16384,  14823,   0,   7,   3, 113924568, 113517328, 113618032, 113597520, 110539544
 14309,  16,  16384,  41412,   7,  10,   2, 110239424, 111509088, 111236704, 111119808, 104779952
 14310,  16,  16384,  48604,  10,  23,   3, 111026256, 109769104, 110771448, 110789896, 113267072
 14311,  16,  16384,  32211,  23,  19,   2, 112243744, 113441768, 113279856, 113191888, 113305096
 14312,  16,  16384,  41755,  19,  19,   0, 110755040, 107306648, 113263864, 111940544, 113600856
 14313,  16,  16384,  38594,  19,  22,   2, 113117200, 111907376, 113382552, 113284848, 112280112
 14314,  16,  16384,   8280,  22,  21,   2, 112148696, 109003376, 112553688, 112385888, 116044408
 14315,  16,  16384,  45562,  21,  21,   0, 110412760, 115599664, 115828432, 115860936, 114645200
 14316,  16,  16384,  43165,  21,   3,   3, 116137984, 115530544, 115672848, 115992440, 105682304
 14317,  16,  16384,  25375,   3,   2,   1, 111424328, 111349800, 111230336, 110083928, 110921808
 14318,  16,  16384,  29863,   2,  12,   3, 109984248, 110744024, 110847312, 108460640, 112464856
 14319,  16,  16384,  32504,  12,  13,   1, 112436504, 113773648, 113491008, 113899304, 113967240
 14320,  16,  16384,  27309,  13,   5,   3, 114394256, 113151512, 114252424, 114407720, 114283968
 14321,  16,  16384,  49253,   5,   5,   0, 114182208, 113935088, 106766824, 113649848, 113000152
 14322,  16,  16384,  14734,   5,   5,   0, 112869848, 113036400, 113901504, 114032744, 113942072
 14323,  16,  16384,  44499,   5,   4,   1, 114079648, 113769560, 114112224, 113926616, 113882368
 14324,  16,  16384,  48322,   4,   5,   1, 113981984, 113733712, 111809712, 113551144, 113953472
 14325,  16,  16384,  37238,   5,   4,   1, 114229344, 114090368, 113753568, 114087168, 112498648
 14326,  16,  16384,   8872,   4,   5,   1, 113811696, 113970208, 113435040, 113214536, 114181224
 14327,  16,  16384,   9848,   5,  14,   3, 113897376, 113764832, 114175528, 113917704, 110806488
 14328,  16,  16384,  21446,  14,  16,   2, 110481336, 109669352, 110565808, 109905720, 115744960
 14329,  16,  16384,  12359,  16,  16,   0, 114308176, 109373256, 115560976, 114209920, 115809144
 14330,  16,  16384,  33135,  16,  16,   0, 115665704, 115121352, 114156136, 115241448, 115944336
 14331,  16,  16384,  33664,  16,  18,   3, 115702912, 115280336, 113824528, 115336576, 112696064
 14332,  16,  16384,  39376,  18,   2,   3, 112407080, 112447728, 110974592, 111224208, 110495720
 14333,  16,  16384,   3245,   2,   2,   0, 110544440, 109212984, 110950608, 110855680, 110948040
 14334,  16,  16384,  13076,   2,   3,   1, 109984128, 110734032, 110914976, 110613144, 111561264
 14335,  16,  16384,  43912,   3,   0,   2, 110317856, 111152376, 111407232, 111344568, 113520128
 14336,  16,  16384,  37386,   0,   3,   2, 112983088, 113543760, 112479248, 107782224, 109825640
 14337,  16,  16384,  21049,   3,   5,   2, 111405504, 110172880, 111190152, 111516608, 114238240
 14338,  16,  16384,  20127,   5,   5,   0, 113026160, 112747880, 112654600, 113887624, 114130352
 14339,  16,  16384,  13669,   5,   4,   1, 114056568, 113994024, 112977048, 113899376, 113979832
 14340,  16,  16384,  48893,   4,   4,   0, 114043672, 113761728, 113631008, 106537048, 113974536
 14341,  16,  16384,   2646,   4,  20,   3, 112755792, 113656504, 113824504, 112503232, 115328032
 14342,  16,  16384,  29284,  20,  20,   0, 115155392, 114341472, 115467344, 115277808, 114402856
 14343,  16,  16384,  12928,  20,  20,   0, 113123168, 115418384, 115570592, 115309112, 115489304
 14344,  16,  16384,   4579,  20,  21,   1, 115673392, 115450568, 109821984, 114310936, 114818832
 14345,  16,  16384,  19765,  21,  21,   0, 116003888, 115726736, 115671008, 110085320, 116162760
 14346,  16,  16384,  12318,  21,  13,   3, 116036632, 115601832, 114302608, 115898264, 113744648
 14347,  16,  16384,  22906,  13,  18,   3, 114497208, 112851312, 114071344, 114000392, 111001120
 14348,  16,  16384,  48851,  18,  18,   0, 111402000, 112281128, 112358808, 111323784, 112728816
 14349,  16,  16384,  36751,  18,  18,   0, 112306744, 106654904, 111003848, 112414200, 112516584
 14350,  16,  16384,   3460,  18,  21,   2, 112823232, 109964120, 112503832, 112389176, 116023920
 14351,  16,  16384,  32745,  21,   3,   3, 114678296, 113143528, 115932480, 115919936, 105363136
 14352,  16,  16384,  37132,   3,  15,   3, 111334792, 111378304, 111155696, 111357136, 110237984
 14353,  16,  16384,  11644,  15,  15,   0, 111477464, 111350392, 111477656, 111381784, 111652448
 14354,  16,  16384,  18526,  15,  15,   0, 111650072, 111666688, 110233264, 111622040, 111647632
 14355,  16,  16384,  24485,  15,  11,   3, 111713056, 110377992, 104362512, 111275488, 111732320
 14356,  16,  16384,  12783,  11,   9,   2, 111606640, 111492584, 111641520, 111619320, 114123392
 14357,  16,  16384,  32549,   9,  11,   2, 114469088, 113857736, 107023080, 112843144, 110465448
 14358,  16,  16384,  10975,  11,  11,   0, 111623152, 111405336, 111702432, 111685328, 111580120
 14359,  16,  16384,  14860,  11,   1,   3, 110459784, 105577560, 110356920, 111587784, 112068384
 14360,  16,  16384,  15673,   1,   3,   2, 112911592, 114036432, 113855880, 107849744, 111703808
 14361,  16,  16384,  19133,   3,   2,   1, 111420296, 111265296, 111327248, 105358264, 110995672
 14362,  16,  16384,  29509,   2,   2,   0, 110821904, 103677824, 109921416, 110605984, 110865880
 14363,  16,  16384,  38236,   2,   3,   1, 109580368, 110720624, 109374032, 110831312, 110516224
 14364,  16,  16384,  12970,   3,   8,   3, 111590016, 111432256, 111642400, 111115504, 112638840
 14365,  16,  16384,   1977,   8,   8,   0, 107693224, 113708640, 112545488, 113396168, 113535576
 14366,  16,  16384,   9136,   8,   8,   0, 112534520, 112444336, 113856528, 113775096, 113683840
 14367,  16,  16384,  28804,   8,   9,   1, 113852928, 113566272, 113727352, 112637648, 114087600
 14368,  16,  16384,    364,   9,   7,   2, 114182568, 113053232, 113920648, 114003008, 111652952
 14369,  16,  16384,  12836,   7,  12,   3, 111599000, 111356056, 111565352, 111422456, 113097936
 14370,  16,  16384,  37004,  12,  16,   2, 113170496, 113793616, 112804040, 113720344, 114076392
 14371,  16,  16384,  45304,  16,  17,   1, 111935544, 115488760, 115315184, 114999688, 115086640
 14372,  16,  16384,  41156,  17,  17,   0, 115620672, 115955760, 115652560, 115757928, 116157008
 14373,  16,  16384,  32626,  17,  17,   0, 116034320, 115573984, 116175272, 113488600, 116153056
 14374,  16,  16384,  22034,  17,  10,   3, 115872272, 107335200, 116156400, 115909336, 110978608
 14375,  16,  16384,  46007,  10,  11,   1, 111052416, 110806240, 110785888, 110968304, 111692328
 14376,  16,  16384,  12620,  11,   8,   2, 111835960, 110551064, 110348616, 111389672, 113767592
 14377,  16,  16384,  11849,   8,   8,   0, 113701824, 113567080, 112363008, 106406728, 113771768
 14378,  16,  16384,   6871,   8,  15,   3, 112798272, 113340792, 113245672, 113639632, 110474456
 14379,  16,  16384,  17764,  15,  13,   2, 110809296, 111446664, 110933944, 105894368, 114407152
 14380,  16,  16384,  32830,  13,   0,   3, 114240160, 114222656, 113993544, 107876976, 113794168
 14381,  16,  16384,  45450,   0,   1,   1, 113440888, 113427312, 113598344, 112468736, 113947952
 14382,  16,  16384,   1632,   1,   1,   0, 114188904, 114222544, 113999176, 114136392, 113163192
 14383,  16,  16384,  33957,   1,   1,   0, 114168680, 114085552, 113885456, 107607056, 111183432
 14384,  16,  16384,  44133,   1,  11,   3, 113590568, 114057248, 114023144, 114025296, 105784664
 14385,  16,  16384,  21281,  11,  10,   1, 111801192, 111531736, 111405960, 108886848, 101790632
 14386,  16,  16384,  16043,  10,  19,   3, 110938944, 110960224, 111018544, 110966824, 112055400
 14387,  16,  16384,  23341,  19,  18,   1, 112026816, 113286720, 111881760, 113286224, 112414184
 14388,  16,  16384,  36659,  18,  18,   0, 112811920, 103916840, 112562968, 112323136, 112608792
 14389,  16,  16384,  17781,  18,  14,   3, 111110768, 111114296, 112636568, 112190352, 110747672
 14390,  16,  16384,  22410,  14,  11,   3, 110987744, 110605128, 110876352, 110819352, 111792256
 14391,  16,  16384,  33869,  11,  18,   3, 111484496, 110352112, 110392144, 111596640, 112715536
 14392,  16,  16384,  42227,  18,  21,   2, 112505800, 112645048, 112387560, 112431576, 114746744
 14393,  16,  16384,  24902,  21,  21,   0, 116209200, 110158872, 114712048, 115827400, 116263792
 14394,  16,  16384,  16103,  21,   3,   3, 115944168, 114686648, 115622456, 115830144, 111510088
 14395,  16,  16384,  16434,   3,   3,   0, 110336920, 111214376, 111516872, 111516832, 104993512
 14396,  16,  16384,  16597,   3,   1,   2, 111546904, 111153208, 110217920, 111390032, 114082568
 14397,  16,  16384,  48207,   1,   0,   1, 114249152, 106331448, 113897184, 112646992, 114010496
 14398,  16,  16384,  45567,   0,  18,   3, 112628400, 107508928, 113920568, 113806904, 112799072
 14399,  16,  16384,   6255,  18,   8,   3, 112742336, 112289768, 112277928, 110917560, 113539328
 14400,  16,  16384,  30708,   8,  11,   2, 112871536, 113441256, 107755216, 112894632, 108523272
 14401,  16,  16384,  48513,  11,   0,   3, 111597728, 111484440, 111471976, 111352944, 113800048
 14402,  16,  16384,  42408,   0,   1,   1, 113642304, 112459384, 113842120, 112598304, 113995568
 14403,  16,  16384,  46218,   1,  21,   3, 114027816, 113161632, 114070088, 113915728, 114885136
 14404,  16,  16384,  28287,  21,   1,   3, 113601640, 116045304, 115917624, 115796032, 112634224
 14405,  16,  16384,  28856,   1,   6,   3, 112744160, 113973544, 113542792, 113099920, 110203928
 14406,  16,  16384,  36538,   6,   7,   1, 110496640, 103146360, 108775112, 107402544, 110409640
 14407,  16,  16384,  49805,   7,  12,   3, 105606112, 110116256, 111461744, 111323048, 112508768
 14408,  16,  16384,   3010,  12,  12,   0, 113755288, 113918800, 113663256, 113486816, 113897336
 14409,  16,  16384,  21057,  12,  22,   3, 112817728, 112575104, 113610888, 106279784, 111455504
 14410,  16,  16384,  41157,  22,  19,   2, 112941880, 112629712, 112276920, 112415384, 113502008
 14411,  16,  16384,  12436,  19,  19,   0, 113641456, 113092512, 112172256, 112984544, 110665792
 14412,  16,  16384,  12948,  19,  18,   1, 113577360, 113441304, 113557720, 113045312, 112338176
 14413,  16,  16384,  47839,  18,   3,   3, 111473720, 109897736, 112515328, 112387344, 111553128
 14414,  16,  16384,  11924,   3,   1,   2, 110565640, 105443112, 111454248, 111622056, 114250696
 14415,  16,  16384,   3647,   1,   1,   0, 110487952, 111367592, 112926080, 114080160, 114092888
 14416,  16,  16384,   1723,   1,   0,   1, 114223512, 113882264, 114068864, 112826312, 113824424
 14417,  16,  16384,  29243,   0,   4,   2, 113490696, 113896608, 111997248, 113492432, 112787480
 14418,  16,  16384,  36819,   4,   3,   2, 113596176, 113678472, 113652152, 112696056, 110801584
 14419,  16,  16384,  31791,   3,   1,   2, 111681792, 111206600, 111182056, 111384848, 107943536
 14420,  16,  16384,   3048,   1,   2,   2, 113168256, 114058912, 114091568, 114011264, 109434296
 14421,  16,  16384,  31001,   2,   2,   0, 109369032, 104641904, 110842352, 110877704, 110865072
 14422,  16,  16384,  13374,   2,   2,   0, 110693536, 108271872, 110864848, 111144960, 111038400
 14423,  16,  16384,  45452,   2,   4,   2, 110940640, 110685552, 109193944, 109701648, 113787608
 14424,  16,  16384,  38755,   4,   5,   1, 107851032, 113833648, 112801968, 113866968, 114483752
 14425,  16,  16384,  30294,   5,   4,   1, 114164136, 113903824, 113808440, 110366560, 113683640
 14426,  16,  16384,  43826,   4,   3,   2, 113934896, 114035000, 107567424, 113583048, 111426104
 14427,  16,  16384,   3337,   3,   4,   2, 108878264, 111493232, 110443040, 109694536, 112600336
 14428,  16,  16384,   6451,   4,   4,   0, 112859264, 113928504, 113832176, 113473088, 107754664
 14429,  16,  16384,  20583,   4,   3,   2, 113833352, 112384544, 112338512, 113629920, 110165848
 14430,  16,  16384,  46441,   3,   2,   1, 105371760, 111126720, 111093232, 111430840, 110761064
 14431,  16,  16384,  44539,   2,   0,   2, 108342544, 110714112, 110739328, 110658696, 113945768
 14432,  16,  16384,  28813,   0,   1,   1, 113822792, 113475064, 107710624, 111145824, 112974784
 14433,  16,  16384,  20685,   1,   0,   1, 112763432, 113979288, 113882544, 112734088, 111109352
 14434,  16,  16384,  19877,   0,   4,   2, 113652992, 113416784, 113558608, 113438880, 112728856
 14435,  16,  16384,  45588,   4,   4,   0, 113140736, 113900888, 107562288, 113775368, 113830208
 14436,  16,  16384,  45459,   4,   4,   0, 114165680, 111385696, 113607520, 113813960, 113753648
 14437,  16,  16384,  38947,   4,   4,   0, 113881448, 112683664, 112399944, 113881632, 114148192
 14438,  16,  16384,  37939,   4,   4,   0, 113746560, 113961752, 112729472, 112459280, 113932824
 14439,  16,  16384,  29727,   4,  15,   3, 114060992, 113848968, 112662088, 113660432, 111606744
 14440,  16,  16384,  10407,  15,  16,   2, 111511008, 111335568, 110645104, 109887936, 114204120
 14441,  16,  16384,  25498,  16,  15,   2, 115841080, 115479664, 115564256, 114453328, 111715096
 14442,  16,  16384,  14077,  15,  12,   2, 105569280, 111426880, 111561672, 111310784, 113945784
 14443,  16,  16384,  34865,  12,  13,   1, 113893696, 113692712, 113824408, 113592656, 108016072
 14444,  16,  16384,  31761,  13,  12,   1, 113022304, 113029448, 112979400, 114119080, 112689832
 14445,  16,  16384,   8403,  12,  12,   0, 113593056, 113524904, 113708344, 113842936, 113795712
 14446,  16,  16384,  48665,  12,  13,   1, 113640456, 112968208, 113350560, 113944368, 114272704
 14447,  16,  16384,   3365,  13,  16,   2, 114043336, 113804552, 113149504, 113886280, 115448040
 14448,  16,  16384,  22156,  16,  22,   3, 114612176, 115514328, 115583416, 114265328, 112616864
 14449,  16,  16384,  44585,  22,  23,   1, 112577400, 112363240, 112606192, 112245128, 112379840
 14450,  16,  16384,  15075,  23,  22,   1, 112910264, 113176912, 113138408, 113338272, 112623008
 14451,  16,  16384,  27854,  22,   4,   3, 112804912, 112534608, 112414864, 112356440, 113633048
 14452,  16,  16384,  46110,   4,   1,   2, 114044976, 112505456, 113641080, 112882016, 112829264
 14453,  16,  16384,   1845,   1,   8,   3, 113092120, 114124328, 112808056, 112701248, 113561560
 14454,  16,  16384,  15252,   8,   8,   0, 111475568, 112667200, 114005016, 112776448, 113633568
 14455,  16,  16384,  43463,   8,  10,   2, 107779320, 113568384, 113520128, 113784928, 111132712
 14456,  16,  16384,  39045,  10,   6,   2, 111202032, 110944048, 109817976, 110655544, 109288680
 14457,  16,  16384,  25318,   6,  11,   2, 109660960, 108915256, 110165400, 110124440, 111508872
 14458,  16,  16384,  21193,  11,  16,   3, 111720744, 110165512, 111678296, 111359456, 110207496
 14459,  16,  16384,  17387,  16,  17,   1, 115611288, 115477744, 115415480, 114263336, 114869424
 14460,  16,  16384,  39293,  17,  16,   1, 116190784, 116028088, 112926384, 111559824, 114307384
 14461,  16,  16384,  25081,  16,  15,   2, 114222040, 109658648, 115569136, 115358480, 110573224
 14462,  16,  16384,  18126,  15,  15,   0, 111993592, 111487776, 111423592, 110895504, 106102040
 14463,  16,  16384,  16562,  15,  17,   2, 111658128, 110350480, 110629536, 111535272, 116024568
 14464,  16,  16384,  32979,  17,   7,   3, 116273264, 114547824, 115620408, 115119856, 111639400
 14465,  16,  16384,  33058,   7,   5,   3, 111495448, 110557056, 111053376, 105484776, 114312552
 14466,  16,  16384,  17330,   5,   4,   1, 113899440, 113971848, 113834152, 112817144, 114004528
 14467,  16,  16384,   9860,   4,   1,   2, 113808888, 113905392, 113601128, 113732248, 113952944
 14468,  16,  16384,  39877,   1,   2,   2, 114133280, 114076208, 113982472, 113928696, 109805688
 14469,  16,  16384,  16122,   2,   2,   0, 110937528, 110915928, 110597256, 110532088, 111153176
 14470,  16,  16384,  38681,   2,   2,   0, 109581616, 110658808, 111045216, 108574416, 111035424
 14471,  16,  16384,  16349,   2,   2,   0, 104958112, 109578000, 110616456, 110881584, 111011504
 14472,  16,  16384,  26482,   2,  16,   3, 110820352, 111022464, 109478184, 110749096, 109742680
 14473,  16,  16384,   2787,  16,   6,   3, 115543312, 112493544, 115275168, 114233184, 104757072
 14474,  16,  16384,  44171,   6,   6,   0, 109916968, 110013976, 109914560, 110161480, 108720560
 14475,  16,  16384,  49594,   6,   7,   1, 110445520, 109135088, 109458976, 109075008, 111409136
 14476,  16,  16384,  45038,   7,   1,   3, 111300512, 111298384, 110254848, 105399312, 112920816
 14477,  16,  16384,   3507,   1,   1,   0, 114098296, 113755144, 114056456, 113714880, 107979064
 14478,  16,  16384,  10003,   1,   5,   2, 112817160, 112802496, 114023416, 113789968, 112860432
 14479,  16,  16384,  34654,   5,   3,   2, 114158664, 107760248, 113018040, 113710776, 105597120
 14480,  16,  16384,  45562,   3,  15,   3, 111333208, 111338888, 110074616, 111374376, 105728600
 14481,  16,  16384,   2595,  15,  15,   0, 111426984, 111235368, 111449024, 111370872, 110408312
 14482,  16,  16384,  14828,  15,  19,   3, 110785904, 111509120, 110740624, 111541896, 107541464
 14483,  16,  16384,  19895,  19,  18,   1, 113404056, 113032552, 113252840, 111835256, 112430192
 14484,  16,  16384,  46288,  18,  18,   0, 105957080, 111456968, 111459712, 112227112, 111376040
 14485,  16,  16384,  43431,  18,  18,   0, 112522072, 112629912, 111209256, 112413944, 112561432
 14486,  16,  16384,  39677,  18,   8,   3, 112861080, 112463104, 105539440, 111169280, 113880440
 14487,  16,  16384,  24329,   8,   9,   1, 113930216, 113822552, 112407840, 113673808, 114363680
 14488,  16,  16384,   6540,   9,   9,   0, 111912560, 114194632, 113960520, 113058008, 114330640
 14489,  16,  16384,  34278,   9,  19,   3, 114274912, 114267480, 113939456, 113825856, 113357056
 14490,  16,  16384,   4171,  19,  19,   0, 112183416, 113190296, 111929688, 113268016, 112323176
 14491,  16,  16384,  23411,  19,  18,   1, 113507736, 111965544, 113233600, 113321072, 112713544
 14492,  16,  16384,  34554,  18,  19,   1, 112501688, 111237168, 112611624, 112297520, 112495136
 14493,  16,  16384,   6443,  19,  23,   2, 113615328, 111822152, 113034528, 112057616, 113571000
 14494,  16,  16384,  33334,  23,   0,   3, 113656728, 113255920, 113044360, 112941704, 113765648
 14495,  16,  16384,  14425,   0,   0,   0, 113580984, 113547608, 113536328, 113577216, 112356744
 14496,  16,  16384,  30801,   0,   1,   1, 107038720, 113160944, 113519160, 113844216, 113946720
 14497,  16,  16384,  26834,   1,  12,   3, 113949896, 113948904, 112939000, 113789688, 113711592
 14498,  16,  16384,  45845,  12,  16,   2, 113733168, 113359272, 111448968, 113858016, 115599304
 14499,  16,  16384,   1788,  16,  17,   1, 112907864, 114288560, 115408328, 115405904, 115949320
 14500,  16,  16384,  26457,  17,  13,   2, 115908592, 113676040, 109897496, 115839688, 113985056
 14501,  16,  16384,  15523,  13,  12,   1, 114337736, 114038104, 113092696, 114109112, 113389120
 14502,  16,  16384,  13586,  12,  13,   1, 113691472, 113689008, 112625328, 113682360, 113202904
 14503,  16,  16384,  14255,  13,  14,   2, 113238784, 114095256, 114046928, 114101904, 110943208
 14504,  16,  16384,  31940,  14,  14,   0, 111133864, 111005112, 109921800, 109606144, 105631312
 14505,  16,  16384,  38670,  14,  13,   2, 110936528, 111165240, 110862360, 110819136, 114091672
 14506,  16,  16384,   4191,  13,   6,   3, 113102104, 114132120, 114363392, 113955960, 110030584
 14507,  16,  16384,  30990,   6,   6,   0, 108928656, 108771848, 110313816, 110404424, 110287248
 14508,  16,  16384,  27233,   6,   9,   2, 109195608, 110128984, 104599168, 108745872, 114138448
 14509,  16,  16384,  12780,   9,   9,   0, 114212680, 113819072, 113944632, 113013264, 114355688
 14510,  16,  16384,  47859,   9,  11,   2, 114209800, 113015376, 113002456, 114341680, 111299264
 14511,  16,  16384,  14457,  11,   5,   3, 110539696, 111417064, 110277592, 111498784, 108122744
 14512,  16,  16384,  41414,   5,   0,   2, 113980536, 113929400, 114050624, 112621896, 113610920
 14513,  16,  16384,  35309,   0,   1,   1, 112464736, 113561504, 112966392, 112811080, 112852888
 14514,  16,  16384,  22684,   1,   0,   1, 114177496, 114063336, 113992664, 113782640, 112344240
 14515,  16,  16384,  18383,   0,   3,   2, 113821520, 112550400, 113664264, 113403200, 110315040
 14516,  16,  16384,  16090,   3,   2,   1, 111348048, 111332848, 111617872, 111310168, 109797776
 14517,  16,  16384,   8602,   2,   2,   0, 110857776, 105085208, 110530016, 109656696, 110895128
 14518,  16,  16384,  36030,   2,   2,   0, 111189160, 110972264, 109932328, 109868448, 111118616
 14519,  16,  16384,  45861,   2,   6,   3, 110878576, 109737584, 110719680, 110643872, 110385728
 14520,  16,  16384,  17277,   6,   9,   2, 101928056, 110085528, 109930536, 108699096, 114364840
 14521,  16,  16384,  26228,   9,  11,   2, 114164528, 114253144, 114259928, 113932920, 105526776
 14522,  16,  16384,  22729,  11,   8,   2, 110245072, 110452888, 111365032, 111439040, 113680632
 14523,  16,  16384,  32157,   8,   8,   0, 113731504, 112263856, 113536944, 113550160, 113361040
 14524,  16,  16384,  10535,   8,   9,   1, 114059928, 112610272, 113502400, 113729096, 108211248
 14525,  16,  16384,  45102,   9,  13,   3, 114137760, 112968992, 113837440, 113948224, 114180696
 14526,  16,  16384,   8778,  13,  13,   0, 114553088, 114155768, 113204096, 112848088, 113328160
 14527,  16,  16384,  23423,  13,  16,   2, 114299880, 107838272, 114036184, 113034224, 115540600
 14528,  16,  16384,  44469,  16,  14,   2, 115634160, 114088184, 113228896, 114954152, 110607952
 14529,  16,  16384,  43747,  14,   5,   3, 108653192, 110889032, 104734904, 109786136, 114033024
 14530,  16,  16384,  46452,   5,   5,   0, 113982616, 113820600, 113943608, 113962056, 107977456
 14531,  16,  16384,  47869,   5,   5,   0, 114234048, 111604176, 112689752, 113675672, 113937568
 14532,  16,  16384,  46737,   5,   5,   0, 114209168, 113924008, 114049664, 113905768, 114190040
 14533,  16,  16384,  45689,   5,   5,   0, 114163920, 111074744, 109685120, 112769960, 113283504
 14534,  16,  16384,  47163,   5,   4,   1, 114371184, 113946168, 114038592, 113940336, 114102784
 14535,  16,  16384,  41265,   4,   4,   0, 113968040, 112461168, 112388992, 113972432, 112726576
 14536,  16,  16384,    607,   4,  14,   3, 113918432, 113719408, 113553672, 113845680, 111112720
 14537,  16,  16384,  42748,  14,  14,   0, 111074688, 110870176, 110896440, 108690056, 104611176
 14538,  16,  16384,  41716,  14,   5,   3, 109930784, 110940088, 110699136, 109883568, 114180104
 14539,  16,  16384,  39584,   5,  21,   3, 114110664, 113933600, 113693320, 113981672, 116069376
 14540,  16,  16384,  44578,  21,  20,   1, 113427776, 115934096, 115711368, 109094768, 114786440
 14541,  16,  16384,   9153,  20,  21,   1, 115771552, 115375896, 112761360, 115549920, 116026112
 14542,  16,  16384,  33811,  21,  19,   2, 115810368, 113412576, 115782776, 115907160, 113279984
 14543,  16,  16384,  33017,  19,  19,   0, 113448504, 111642048, 112033912, 113148000, 112825128
 14544,  16,  16384,  41892,  19,  13,   3, 113433688, 113105608, 112127256, 113322248, 114094744
 14545,  16,  16384,  20377,  13,  12,   1, 107983792, 112941984, 114180048, 113957424, 107029224
 14546,  16,  16384,  13515,  12,   4,   3, 113539216, 113408088, 113464640, 113399664, 112344784
 14547,  16,  16384,  27593,   4,   4,   0, 113613528, 113410176, 113369128, 113404656, 112784704
 14548,  16,  16384,  45263,   4,   9,   3, 114069960, 112179856, 107459080, 113117984, 113396664
 14549,  16,  16384,  40171,   9,   5,   3, 113285464, 114548624, 114188568, 114098720, 111980584
 14550,  16,  16384,  23186,   5,   9,   3, 114467416, 114214520, 113261296, 114244592, 114188832
 14551,  16,  16384,  26584,   9,   8,   1, 113547168, 113406448, 113196352, 114389224, 113903920
 14552,  16,  16384,  46812,   8,   8,   0, 113917240, 112683176, 107891328, 113908856, 112581112
 14553,  16,  16384,  11737,   8,  11,   2, 113905152, 113731792, 113655440, 113633376, 111375888
 14554,  16,  16384,   7968,  11,   7,   2, 108596056, 106558904, 110958088, 108629592, 111114832
 14555,  16,  16384,  48681,   7,   7,   0, 111116680, 110804728, 110732464, 111130576, 110891960
 14556,  16,  16384,  27730,   7,   0,   3, 111235296, 108556064, 110654528, 109782496, 114023512
 14557,  16,  16384,  47947,   0,   4,   2, 111554328, 113729528, 113873128, 113741656, 114162496
 14558,  16,  16384,   7296,   4,   6,   3, 114078704, 113973496, 112345232, 107741864, 110076568
 14559,  16,  16384,  26808,   6,   7,   1, 109777864, 109690120, 108722024, 102631776, 111216728
 14560,  16,  16384,  19849,   7,   7,   0, 111017224, 111196104, 111098184, 111073408, 109711200
 14561,  16,  16384,  23747,   7,   7,   0, 110184960, 111359640, 111080016, 110886192, 110818616
 14562,  16,  16384,  36052,   7,   7,   0, 111222536, 110843968, 110993720, 110790016, 110886888
 14563,  16,  16384,   1709,   7,   6,   1, 109865088, 109802376, 109908336, 111152072, 107940304
 14564,  16,  16384,  15635,   6,   7,   1, 109562728, 108295160, 103748800, 109371968, 111032352
 14565,  16,  16384,  27222,   7,   0,   3, 110911840, 110628440, 110865440, 109817848, 114199240
 14566,  16,  16384,  45539,   0,   0,   0, 112937936, 113191464, 113431160, 106570696, 113961080
 14567,  16,  16384,  41186,   0,  19,   3, 113702680, 113806024, 113924536, 113735320, 109492968
 14568,  16,  16384,  44295,  19,  19,   0, 107780152, 112657736, 112762200, 112607856, 112849608
 14569,  16,  16384,  27064,  19,  23,   2, 113180840, 111400808, 112853832, 112358880, 111466800
 14570,  16,  16384,  31157,  23,  23,   0, 112973800, 111214264, 112670200, 107191512, 112782208
 14571,  16,  16384,   7162,  23,  23,   0, 111477120, 112472088, 112651568, 111634368, 112583776
 14572,  16,  16384,  47799,  23,  23,   0, 113225160, 112929096, 111410392, 112780760, 113035920
 14573,  16,  16384,   1562,  23,  23,   0, 112773232, 106761192, 111415976, 112996656, 112844760
 14574,  16,  16384,  16599,  23,  22,   1, 111775408, 113147880, 112941280, 113122976, 111547568
 14575,  16,  16384,  28307,  22,  23,   1, 112491168, 112489960, 112218704, 106673080, 112566720
 14576,  16,  16384,  11372,  23,   9,   3, 113147576, 111684040, 113009848, 112902688, 113186808
 14577,  16,  16384,  14959,   9,   6,   2, 114328408, 108072712, 114113328, 114050168, 108952560
 14578,  16,  16384,  40029,   6,   7,   1, 109135152, 103711192, 109889256, 109968808, 110983456
 14579,  16,  16384,  44024,   7,   8,   2, 110929696, 110997808, 110018544, 110831376, 114029224
 14580,  16,  16384,  30152,   8,  13,   3, 113889168, 112619032, 112517672, 113824552, 114380600
 14581,  16,  16384,   3647,  13,  13,   0, 114352496, 114223280, 114184320, 107022064, 114214208
 14582,  16,  16384,  47748,  13,  12,   1, 114438144, 113975032, 114360296, 111809472, 114014040
 14583,  16,  16384,   5132,  12,  12,   0, 112769536, 113714944, 113764768, 113925968, 113995664
 14584,  16,  16384,  20416,  12,  12,   0, 113995728, 112633416, 113748360, 113718384, 112956784
 14585,  16,  16384,  27255,  12,  13,   1, 113987776, 105734384, 113855456, 112730512, 114455256
 14586,  16,  16384,  49301,  13,   9,   3, 114380728, 114174872, 106970208, 114164976, 113746648
 14587,  16,  16384,  25024,   9,   9,   0, 113737248, 112516800, 114036528, 113991832, 114214288
 14588,  16,  16384,  22475,   9,   1,   3, 114229512, 114312376, 114457936, 114150856, 114220696
 14589,  16,  16384,  49730,   1,   0,   1, 114265088, 112958264, 108224464, 114013744, 114001656
 14590,  16,  16384,   9426,   0,  19,   3, 113999728, 113801528, 113937712, 113538096, 113211952
 14591,  16,  16384,  24734,  19,  18,   1, 111871480, 112810496, 112976008, 112976648, 112664488
 14592,  16,  16384,  21500,  18,  19,   1, 112590016, 111216400, 112314528, 112349928, 113549856
 14593,  16,  16384,  27761,  19,  22,   2, 113157224, 112801568, 111574088, 113137440, 112432400
 14594,  16,  16384,  44905,  22,  23,   1, 112603376, 112385464, 107084800, 111035000, 113175520
 14595,  16,  16384,  13723,  23,  22,   1, 111770064, 113101032, 112965224, 111817648, 112519720
 14596,  16,  16384,  44659,  22,  18,   2, 111101784, 112601168, 112273072, 112342200, 106657432
 14597,  16,  16384,  26192,  18,   2,   3, 112518056, 112206664, 112552312, 110990520, 109301912
 14598,  16,  16384,  49524,   2,   2,   0, 110559128, 110884192, 110722832, 110837352, 110922800
 14599,  16,  16384,  40867,   2,  11,   3, 109442248, 110784864, 109417808, 110506296, 110932464
 14600,  16,  16384,  10420,  11,  10,   1, 111308440, 110067056, 111710640, 111623664, 111012136
 14601,  16,  16384,  25775,  10,  12,   3, 110970016, 110827624, 110727424, 110724864, 112714384
 14602,  16,  16384,  19997,  12,  12,   0, 113850776, 113616576, 113697480, 112697792, 112817448
 14603,  16,  16384,  23182,  12,  13,   1, 113569720, 107616336, 113846200, 112484184, 108296664
 14604,  16,  16384,    180,  13,  12,   1, 114313072, 114219488, 114024856, 114035800, 113981208
 14605,  16,  16384,  12417,  12,  12,   0, 112538352, 113815120, 112779472, 113790112, 107533928
 14606,  16,  16384,   4617,  12,  13,   1, 112865768, 113925576, 113711368, 113432968, 114123680
 14607,  16,  16384,  49608,  13,  13,   0, 114273360, 112803808, 112997456, 114074408, 114782992
 14608,  16,  16384,  26115,  13,  12,   1, 114382344, 111791472, 114046368, 114216016, 113676080
 14609,  16,  16384,  20407,  12,   3,   3, 112645528, 113798824, 113701584, 113608136, 111271144
 14610,  16,  16384,   2630,   3,   2,   1, 105214944, 111414568, 110960504, 110895816, 109547512
 14611,  16,  16384,   5092,   2,   0,   2, 110673424, 109335616, 102613776, 109478112, 112732000
 14612,  16,  16384,  37990,   0,   1,   1, 114035168, 113464592, 112418776, 107735352, 114097952
 14613,  16,  16384,  19569,   1,   5,   2, 112971896, 113934792, 112781768, 113868160, 108924088
 14614,  16,  16384,  21004,   5,   5,   0, 114445472, 114051400, 114075000, 112018656, 114252896
 14615,  16,  16384,  38323,   5,   4,   1, 114284656, 114043272, 113964192, 112786312, 113886240
 14616,  16,  16384,  38966,   4,   4,   0, 113879432, 113656512, 112779168, 113849840, 113792936
 14617,  16,  16384,  38776,   4,   2,   2, 105477024, 113758288, 112840976, 113685920, 109732920
 14618,  16,  16384,  31174,   2,  13,   3, 104804600, 109376840, 110807632, 110522664, 114319944
 14619,  16,  16384,  13936,  13,  12,   1, 114370848, 112953424, 114024200, 114201024, 113723232
 14620,  16,  16384,  13153,  12,  23,   3, 113932544, 112702312, 113848136, 113771072, 108236344
 14621,  16,  16384,  44107,  23,  21,   2, 111934896, 112797248, 112623048, 112786832, 116128496
 14622,  16,  16384,  49576,  21,  21,   0, 116021616, 114678688, 110468056, 114974960, 114989000
 14623,  16,  16384,  39763,  21,  21,   0, 116180376, 115711792, 115657392, 116072304, 116000448
 14624,  16,  16384,  14016,  21,  22,   2, 116078144, 115924912, 115353776, 115394680, 112771376
 14625,  16,  16384,   6882,  22,  21,   2, 112412408, 112240304, 112275800, 112431544, 116052232
 14626,  16,  16384,  23907,  21,  11,   3, 116108152, 115873920, 115919000, 115752808, 111061384
 14627,  16,  16384,   1554,  11,   7,   2, 110164920, 110914464, 111100184, 107349400, 110895232
 14628,  16,  16384,  15758,   7,   1,   3, 111017072, 110856592, 109847544, 110707048, 113730088
 14629,  16,  16384,  41558,   1,  23,   3, 114133416, 113841608, 112701096, 114033528, 112887136
 14630,  16,  16384,  48441,  23,  21,   2, 107323056, 112800480, 112801520, 112757496, 116185632
 14631,  16,  16384,  34609,  21,  23,   2, 116045688, 116070648, 115479192, 115421048, 111633688
 14632,  16,  16384,  17291,  23,  20,   2, 113038512, 108742032, 111334568, 112713760, 114359536
 14633,  16,  16384,    797,  20,  13,   3, 109978488, 114459608, 115393152, 115689208, 114517264
 14634,  16,  16384,  38186,  13,  12,   1, 114439192, 105641304, 114187600, 114306960, 112986144
 14635,  16,  16384,  35181,  12,   4,   3, 112821696, 113892368, 112668936, 107948680, 113857232
 14636,  16,  16384,  19902,   4,   5,   1, 112987472, 114041312, 113667752, 113707400, 111634696
 14637,  16,  16384,  34880,   5,   5,   0, 114262384, 113869472, 113541600, 108203840, 114192400
 14638,  16,  16384,  27931,   5,   5,   0, 114254448, 113955976, 114097408, 113911720, 113209168
 14639,  16,  16384,  20148,   5,  19,   3, 114254584, 113073000, 112562848, 114196088, 112933048
 14640,  16,  16384,  26241,  19,  19,   0, 113156552, 111996224, 112616232, 113006024, 107632912
 14641,  16,  16384,  16733,  19,  23,   2, 113057544, 113015544, 112839688, 113155784, 111448440
 14642,  16,  16384,  17530,  23,  18,   2, 113460344, 112672640, 112984344, 112796264, 112505936
 14643,  16,  16384,  30183,  18,   7,   3, 106953736, 112238504, 112233680, 112371872, 111350928
 14644,  16,  16384,  15363,   7,  16,   3, 111452832, 108888392, 111259376, 111306048, 116058352
 14645,  16,  16384,   9025,  16,  16,   0, 114554184, 115668904, 115739856, 115516416, 115612424
 14646,  16,  16384,  13795,  16,  14,   2, 116069752, 115863112, 115407080, 113882656, 111112736
 14647,  16,  16384,  44955,  14,   9,   3, 111001296, 110694944, 110780960, 111003752, 114203248
 14648,  16,  16384,  21194,   9,  17,   3, 114455168, 113099656, 108102592, 114157688, 115037448
 14649,  16,  16384,   1965,  17,   1,   3, 115004504, 115933936, 115738504, 110153200, 113588704
 14650,  16,  16384,  32071,   1,   0,   1, 114359664, 113744320, 114181376, 114071248, 113931720
 14651,  16,  16384,  39706,   0,   3,   2, 114018648, 112551008, 112347128, 106717016, 111712160
 14652,  16,  16384,  30299,   3,   3,   0, 110203336, 111037016, 110063824, 110784752, 111223496
 14653,  16,  16384,   2072,   3,   5,   2, 110046912, 111146568, 109671176, 111157248, 114116320
 14654,  16,  16384,  16432,   5,   6,   3, 114504256, 114335496, 112235712, 109205464, 110059632
 14655,  16,  16384,  29708,   6,  10,   2, 109167424, 109345496, 109580520, 109965400, 109839856
 14656,  16,  16384,  21603,  10,  22,   3, 110994376, 104927592, 110536960, 109790448, 112601264
 14657,  16,  16384,   1084,  22,  23,   1, 112616800, 112465520, 112448912, 106728296, 111828640
 14658,  16,  16384,  34991,  23,  17,   3, 111960848, 112957536, 113070304, 111739448, 115989032
 14659,  16,  16384,  20548,  17,  17,   0, 116091768, 107560832, 115781008, 115799480, 115981488
 14660,  16,  16384,   2236,  17,  16,   1, 116460608, 114362152, 115999792, 114597000, 113716704
 14661,  16,  16384,  15670,  16,   3,   3, 115690480, 112722000, 115717640, 115534056, 111384040
 14662,  16,  16384,  31886,   3,   1,   2, 110406248, 111119816, 110359648, 111154256, 114097688
 14663,  16,  16384,  16411,   1,   5,   2, 111100944, 109401080, 113779344, 112579504, 113918320
 14664,  16,  16384,  44484,   5,   5,   0, 114530936, 113242104, 113865816, 114033712, 109689104
 14665,  16,  16384,  10290,   5,   2,   2, 110631240, 114007944, 112593240, 113956392, 110843224
 14666,  16,  16384,  46096,   2,   2,   0, 110811200, 110841248, 110874768, 110616032, 109818904
 14667,  16,  16384,  14058,   2,   9,   3, 110989632, 110509664, 109399256, 109717704, 114366992
 14668,  16,  16384,  37151,   9,  11,   2, 114250112, 114009552, 113164256, 114185296, 104903032
 14669,  16,  16384,   7775,  11,  18,   3, 111460440, 111225808, 111206808, 110436656, 111548096
 14670,  16,  16384,  36275,  18,  19,   1, 112467776, 112562896, 111489304, 112213472, 113221312
 14671,  16,  16384,   2649,  19,  19,   0, 111978040, 111688480, 112982184, 113002680, 113534688
 14672,  16,  16384,   5060,  19,  19,   0, 111992560, 111976864, 113061216, 113336464, 113524704
 14673,  16,  16384,  20572,  19,  15,   3, 113422896, 107474792, 113241360, 111849584, 111541672
 14674,  16,  16384,  40028,  15,   2,   3, 110147192, 111249960, 111217184, 109944336, 110353816
 14675,  16,  16384,  47803,   2,   5,   2, 105472800, 110701672, 110453576, 110812672, 114119776
 14676,  16,  16384,  37889,   5,   3,   2, 112840640, 114303584, 108035248, 112751456, 110437304
 14677,  16,  16384,  48302,   3,   2,   1, 111298792, 111115544, 111419456, 110950992, 110909088
 14678,  16,  16384,  29610,   2,   3,   1, 110806848, 110689808, 109663760, 108444856, 105217616
 14679,  16,  16384,  49747,   3,   2,   1, 110401448, 111292016, 111114672, 111292400, 110858184
 14680,  16,  16384,  13881,   2,   7,   3, 111019576, 110694632, 110755656, 110587864, 109923616
 14681,  16,  16384,  32162,   7,  22,   3, 111395904, 110691336, 110300544, 111504816, 111865328
 14682,  16,  16384,  33511,  22,  12,   3, 112334784, 112187352, 112492168, 112162216, 113893280
 14683,  16,  16384,  47880,  12,  12,   0, 113731000, 107660376, 112553064, 113579280, 114047768
 14684,  16,  16384,  26668,  12,  12,   0, 113934208, 113430968, 112024776, 113333784, 114125048
 14685,  16,  16384,  24203,  12,   7,   3, 114175616, 113676560, 113608008, 107453904, 111125336
 14686,  16,  16384,   3779,   7,  22,   3, 111443872, 111493816, 111422672, 111454832, 112754664
 14687,  16,  16384,  29116,  22,  22,   0, 112690672, 112338944, 110849448, 110023144, 112676144
 14688,  16,  16384,  33298,  22,   8,   3, 112418144, 112608768, 106703200, 111287048, 113908640
 14689,  16,  16384,  19004,   8,   8,   0, 113956696, 112415240, 113724776, 113732400, 114012024
 14690,  16,  16384,   1127,   8,   3,   3, 114181144, 113718584, 112485648, 112968280, 111471744
 14691,  16,  16384,   9747,   3,   2,   1, 111353064, 111410264, 110650128, 109945752, 111125248
 14692,  16,  16384,  47009,   2,   3,   1, 109693072, 109390240, 110645632, 109597664, 111626208
 14693,  16,  16384,  36352,   3,   3,   0, 111379960, 110971384, 111437792, 111395856, 111544728
 14694,  16,  16384,  36382,   3,   1,   2, 104279384, 111091744, 111362984, 111209080, 109093792
 14695,  16,  16384,  41262,   1,  18,   3, 113957456, 113821824, 112771760, 114181192, 112438856
 14696,  16,  16384,  28716,  18,  16,   3, 112630840, 112363688, 110092488, 112410408, 115809936
 14697,  16,  16384,   3958,  16,  17,   1, 115812696, 114482296, 114519104, 115349440, 116527120
 14698,  16,  16384,  25981,  17,  15,   2, 116206608, 115724688, 115882952, 115832704, 111460784
 14699,  16,  16384,  34893,  15,  15,   0, 111493352, 110466296, 111446184, 111389856, 111698968
 14700,  16,  16384,  24498,  15,  16,   2, 111373248, 111439920, 111386320, 105603600, 115564496
 14701,  16,  16384,   7171,  16,  23,   3, 114399648, 115415600, 115467832, 115200664, 113213248
 14702,  16,  16384,  36060,  23,  18,   2, 113459264, 113264808, 113282512, 113292200, 112172128
 14703,  16,  16384,  25936,  18,  11,   3, 110590872, 112529176, 112286888, 112190584, 111278224
 14704,  16,  16384,  30042,  11,  17,   3, 109548776, 111257832, 111736656, 111733704, 116296632
 14705,  16,  16384,  34035,  17,  13,   2, 115907088, 115490472, 116071248, 114824728, 114279704
 14706,  16,  16384,  36790,  13,  13,   0, 110739088, 114177016, 114044192, 113958880, 107221648
 14707,  16,  16384,  16872,  13,  17,   2, 114348944, 113889792, 114007568, 114107352, 116198280
 14708,  16,  16384,  49721,  17,  16,   1, 115885656, 115906664, 113204576, 110044728, 114344640
 14709,  16,  16384,  19437,  16,  16,   0, 115494640, 115410488, 109527992, 115408744, 115293160
 14710,  16,  16384,  22693,  16,  15,   2, 114535048, 115652208, 115547128, 115330848, 111525576
 14711,  16,  16384,  29600,  15,  13,   2, 111557696, 111559720, 111601704, 111601768, 113932088
 14712,  16,  16384,  25010,  13,  12,   1, 114365288, 114086400, 113159360, 114023240, 113699536
 14713,  16,  16384,  39223,  12,  17,   2, 112746720, 112552152, 112613992, 113652416, 116156896
 14714,  16,  16384,  28955,  17,  13,   2, 116458704, 115653288, 115661200, 115681488, 114212440
 14715,  16,  16384,   6413,  13,  11,   3, 111628888, 114202016, 114307096, 112893432, 111551000
 14716,  16,  16384,  45125,  11,  12,   3, 110733160, 110193496, 111687112, 111273176, 113705136
 14717,  16,  16384,  19344,  12,  12,   0, 113846608, 113630864, 113182280, 111998200, 113982536
 14718,  16,  16384,    616,  12,  16,   2, 112769752, 113833928, 113629400, 113575944, 115720944
 14719,  16,  16384,  33729,  16,  12,   2, 109788808, 115661304, 114200448, 115300696, 113788696
 14720,  16,  16384,  14132,  12,   0,   3, 112069752, 113187328, 113961760, 113697320, 113972808
 14721,  16,  16384,   9255,   0,   3,   2, 113923024, 113661464, 113629440, 109775360, 110454992
 14722,  16,  16384,   6616,   3,   5,   2, 110413616, 108535992, 111380600, 111190848, 112337920
 14723,  16,  16384,  32325,   5,   0,   2, 112946936, 113841928, 113977784, 113684864, 113143368
 14724,  16,  16384,   6840,   0,   5,   2, 110423024, 112473792, 113568688, 113765768, 114174744
 14725,  16,  16384,  38270,   5,   4,   1, 113045224, 111552656, 112917960, 113924184, 113654592
 14726,  16,  16384,  12699,   4,   4,   0, 114117464, 113861776, 110060040, 112775064, 107794104
 14727,  16,  16384,  22107,   4,   2,   2, 113824560, 113924272, 113740472, 113645032, 111064088
 14728,  16,  16384,   7695,   2,   2,   0, 110937936, 109342864, 103433672, 110700480, 111009696
 14729,  16,  16384,   4892,   2,   3,   1, 110862272, 109599584, 109514808, 111009792, 111448848
 14730,  16,  16384,   5020,   3,   3,   0, 111486552, 111184688, 111193976, 111362056, 111418208
 14731,  16,  16384,  30299,   3,  13,   3, 110355128, 111362536, 111237856, 109452968, 114216496
 14732,  16,  16384,  44820,  13,  17,   2, 114553560, 113225632, 110488856, 110586848, 116076488
 14733,  16,  16384,   7517,  17,   4,   3, 113451032, 116054408, 115997184, 114714432, 110134728
 14734,  16,  16384,  40006,   4,   2,   2, 111721200, 114133336, 114067344, 113916888, 111257472
 14735,  16,  16384,  34355,   2,   7,   3, 110779192, 109656432, 104840672, 109272144, 110414832
 14736,  16,  16384,  39248,   7,   6,   1, 110280904, 110096064, 111567112, 111542632, 110101584
 14737,  16,  16384,   8883,   6,   7,   1, 110359688, 110082688, 110087736, 108752712, 111581808
 14738,  16,  16384,  19106,   7,   5,   3, 111704312, 110057736, 110911752, 109004736, 114189344
 14739,  16,  16384,  21552,   5,  21,   3, 114170952, 114046112, 111708112, 114055528, 115657360
 14740,  16,  16384,  38875,  21,  17,   3, 115093568, 115664912, 110043352, 114410640, 116102408
 14741,  16,  16384,  29748,  17,  11,   3, 116264320, 115762224, 115798000, 115956128, 111801056
 14742,  16,  16384,   4715,  11,  11,   0, 111852024, 105557336, 111803224, 110238496, 111532544
 14743,  16,  16384,  29364,  11,  10,   1, 111279592, 109129928, 111406384, 111263592, 110817584
 14744,  16,  16384,  24033,  10,  11,   1, 111391720, 110656656, 109565624, 110071544, 110538632
 14745,  16,  16384,  37937,  11,  10,   1, 111391392, 111319224, 111560696, 109382984, 111093152
 14746,  16,  16384,  10882,  10,  11,   1, 110922880, 110749464, 110919672, 110762736, 111561784
 14747,  16,  16384,   5274,  11,  11,   0, 111663840, 104626744, 111514648, 111405088, 111478032
 14748,  16,  16384,  38716,  11,  11,   0, 110444768, 110174824, 110213992, 111562416, 111577336
 14749,  16,  16384,   4364,  11,   9,   2, 111766840, 111759504, 111599432, 110005488, 111763264
 14750,  16,  16384,  22320,   9,   9,   0, 114498560, 114170232, 114073472, 113794744, 113187072
 14751,  16,  16384,  12692,   9,  10,   2, 114002256, 114103976, 114211272, 114209104, 110925824
 14752,  16,  16384,   5231,  10,  10,   0, 103886640, 109694104, 110809984, 110953640, 111026104
 14753,  16,  16384,  22837,  10,   9,   2, 110855240, 111099480, 110897912, 111003576, 114140376
 14754,  16,  16384,   5856,   9,   9,   0, 114156808, 108032704, 113495480, 112472232, 113134872
 14755,  16,  16384,  14910,   9,   8,   1, 114326592, 113985848, 113880408, 114250768, 113953032
 14756,  16,  16384,   5287,   8,  10,   2, 113837640, 107399168, 113571720, 113598408, 104684192
 14757,  16,  16384,   8404,  10,   9,   2, 108780736, 110813968, 110781760, 110792568, 114413648
 14758,  16,  16384,  43824,   9,   8,   1, 114173040, 114168648, 113114776, 114195936, 113881184
 14759,  16,  16384,  10099,   8,   9,   1, 113548064, 113107000, 111130496, 113278968, 112957512
 14760,  16,  16384,  38645,   9,   9,   0, 114433168, 114252496, 114449920, 114081448, 114009216
 14761,  16,  16384,  49479,   9,  11,   2, 114213512, 114191168, 114083416, 112732232, 110460088
 14762,  16,  16384,  21456,  11,  10,   1, 109869072, 111314520, 111474232, 111443256, 110905792
 14763,  16,  16384,  10896,  10,  10,   0, 109773960, 110714704, 109967576, 103118832, 111059016
 14764,  16,  16384,  48039,  10,  23,   3, 110912672, 110929456, 110409464, 111042368, 112733000
 14765,  16,  16384,  21557,  23,  22,   1, 113116864, 112079352, 112870536, 112065800, 110953864
 14766,  16,  16384,  47346,  22,   8,   3, 110531776, 112383704, 112792464, 112408088, 113824752
 14767,  16,  16384,  19850,   8,   9,   1, 113863456, 113939216, 113571368, 109115296, 114255200
 14768,  16,  16384,  43734,   9,   6,   2, 114323648, 112006736, 108152256, 114197632, 109002632
 14769,  16,  16384,  17829,   6,  17,   3, 110155128, 109903120, 110202984, 110221720, 116086992
 14770,  16,  16384,  24256,  17,  16,   1, 115896520, 115775976, 114634376, 114500000, 109515624
 14771,  16,  16384,  15033,  16,  20,   3, 115776696, 114087288, 115443088, 115464456, 109814536
 14772,  16,  16384,  49106,  20,  21,   1, 115541776, 114425072, 115324880, 113930088, 114452352
 14773,  16,  16384,   1905,  21,  21,   0, 114126480, 111892608, 116117752, 115947072, 116094920
 14774,  16,  16384,   9626,  21,  20,   1, 116146944, 114417344, 115844096, 115244936, 114338024
 14775,  16,  16384,  14219,  20,   1,   3, 114595280, 114899904, 115528640, 115421040, 112766152
 14776,  16,  16384,  22529,   1,   5,   2, 114226600, 114009408, 113898320, 113019240, 114048096
 14777,  16,  16384,  19352,   5,   5,   0, 114317704, 113923712, 114076376, 114045200, 112813464
 14778,  16,  16384,  41372,   5,   5,   0, 114087480, 111526000, 107857208, 113918352, 114164944
 14779,  16,  16384,  37159,   5,   0,   2, 112863000, 113808536, 113730584, 113807696, 113896336
 14780,  16,  16384,  33036,   0,   4,   2, 113973128, 113947104, 107418432, 113355768, 113827256
 14781,  16,  16384,  25133,   4,   1,   2, 114053776, 111460536, 113475912, 112423288, 114129576
 14782,  16,  16384,  38310,   1,  20,   3, 114275904, 113958736, 112720032, 107835688, 114515104
 14783,  16,  16384,  34439,  20,   3,   3, 115690776, 115381088, 115224416, 107347144, 111647144
 14784,  16,  16384,  25092,   3,  13,   3, 111529968, 111324344, 110395552, 110254888, 114575648
 14785,  16,  16384,   4436,  13,  11,   3, 113335792, 112937800, 113881432, 114160304, 111269656
 14786,  16,  16384,  15242,  11,  10,   1, 111552440, 111468192, 111473480, 111311336, 110658992
 14787,  16,  16384,  42941,  10,  19,   3, 110995616, 111014232, 110942312, 110972144, 107540424
 14788,  16,  16384,    279,  19,  19,   0, 113439640, 112934912, 112873184, 112951792, 113281960
 14789,  16,  16384,  26102,  19,  10,   3, 111942512, 113344144, 111777360, 113157440, 111123264
 14790,  16,  16384,  35056,  10,  11,   1, 108910952, 105849184, 110441976, 111109360, 111808376
 14791,  16,  16384,  25099,  11,  10,   1, 110581624, 110316072, 111440008, 111475040, 110616648
 14792,  16,  16384,  46522,  10,  10,   0, 111059304, 110660816, 110838368, 103580560, 111105288
 14793,  16,  16384,    525,  10,  17,   3, 109943200, 110907664, 109743736, 110522360, 114815960
 14794,  16,  16384,   7192,  17,  17,   0, 116024752, 115958720, 115685560, 108317016, 115952304
 14795,  16,  16384,  44772,  17,  17,   0, 114703744, 114395952, 115737336, 115655272, 115850832
 14796,  16,  16384,  19647,  17,  16,   1, 116142640, 114808256, 115784760, 116074880, 115660376
 14797,  16,  16384,  32812,  16,  17,   1, 114354416, 113983576, 114461232, 114918928, 116093280
 14798,  16,  16384,  35743,  17,  15,   2, 116089072, 115798920, 114946328, 115792352, 111677936
 14799,  16,  16384,  27113,  15,  16,   2, 111897920, 111480088, 110660520, 111161200, 115547112
 14800,  16,  16384,  49251,  16,  17,   1, 115952440, 115488848, 115316672, 115551568, 116216736
 14801,  16,  16384,  41925,  17,  16,   1, 116112728, 115960912, 114597208, 115614192, 114776976
 14802,  16,  16384,  33851,  16,  23,   3, 115282760, 115301256, 115074184, 115251672, 113503304
 14803,  16,  16384,  39373,  23,  23,   0, 113296000, 113439568, 113067072, 113355856, 112540432
 14804,  16,  16384,  27892,  23,  23,   0, 111848144, 111979584, 112996248, 106287312, 113639184
 14805,  16,  16384,   3898,  23,  22,   1, 113174456, 113135544, 112933216, 113055912, 112609488
 14806,  16,  16384,   9505,  22,  20,   2, 112311016, 110293848, 112602408, 112338128, 109995792
 14807,  16,  16384,  18457,  20,   9,   3, 115631352, 115142080, 115499920, 114073920, 114358256
 14808,  16,  16384,  28228,   9,   8,   1, 114426448, 105891816, 114018416, 113274888, 113900392
 14809,  16,  16384,   4429,   8,  23,   3, 113995304, 112695264, 112199480, 113986192, 113379728
 14810,  16,  16384,   7703,  23,   6,   3, 113302064, 113354360, 113205456, 113404480, 104494528
 14811,  16,  16384,   2520,   6,  11,   2, 110182336, 110003288, 110104848, 109982584, 111330624
 14812,  16,  16384,  28141,  11,  11,   0, 110571888, 110335976, 111509312, 111553008, 111615616
 14813,  16,  16384,  24874,  11,  11,   0, 111738728, 111378888, 111526712, 104820048, 111466904
 14814,  16,  16384,   4220,  11,  14,   3, 110608240, 111638352, 111691176, 110398376, 109812120
 14815,  16,  16384,  30800,  14,  20,   3, 111055920, 109931632, 110513528, 111054616, 115686080
 14816,  16,  16384,  34405,  20,  21,   1, 115458272, 115320272, 115241928, 110493200, 116006096
 14817,  16,  16384,  38974,  21,   1,   3, 116490368, 116074144, 114685176, 115391304, 114173584
 14818,  16,  16384,  13638,   1,   0,   1, 114032120, 113928968, 113837424, 112754504, 111730064
 14819,  16,  16384,  38213,   0,   1,   1, 113572376, 113684000, 113863800, 113726840, 114110280
 14820,  16,  16384,   9347,   1,   3,   2, 112773440, 114312208, 113872656, 113905040, 111655792
 14821,  16,  16384,  27443,   3,   3,   0, 111138064, 111274584, 110110160, 110312480, 111278488
 14822,  16,  16384,  22043,   3,  10,   3, 111582696, 111403992, 111415528, 111419864, 110917672
 14823,  16,  16384,  17918,  10,   7,   2, 109589840, 110845864, 110691400, 110856016, 109770160
 14824,  16,  16384,  26503,   7,   8,   2, 111034696, 105378328, 111435232, 111373704, 112906688
 14825,  16,  16384,  12543,   8,   9,   1, 114069232, 113837904, 113717872, 113480512, 114173056
 14826,  16,  16384,  14538,   9,  12,   3, 114363624, 112057808, 113553312, 114015912, 112386120
 14827,  16,  16384,  18419,  12,  13,   1, 112726408, 112514040, 113374936, 113556216, 114425152
 14828,  16,  16384,  36823,  13,  21,   3, 113089632, 114064456, 114295576, 113412240, 114826704
 14829,  16,  16384,   4200,  21,  20,   1, 116103392, 115661080, 115801264, 115942848, 115436312
 14830,  16,  16384,  28355,  20,  21,   1, 114305080, 115523240, 115708728, 115568216, 115072912
 14831,  16,  16384,  28883,  21,  22,   2, 115360888, 114582440, 115963208, 116270728, 111472272
 14832,  16,  16384,  42176,  22,   4,   3, 112712320, 112295232, 112531112, 111148016, 114143216
 14833,  16,  16384,  19191,   4,  17,   3, 112612192, 113720848, 113283808, 113303544, 115905664
 14834,  16,  16384,  44000,  17,  17,   0, 116187856, 115765344, 115944440, 114609152, 116309104
 14835,  16,  16384,  37134,  17,  17,   0, 116033032, 110209944, 114488976, 115875920, 115841472
 14836,  16,  16384,  28844,  17,  17,   0, 115995944, 115973968, 115933576, 115695112, 114895168
 14837,  16,  16384,  44918,  17,  16,   1, 114972000, 115979352, 115745560, 115609744, 115464392
 14838,  16,  16384,   8497,  16,  17,   1, 115780736, 114239784, 115539728, 115390256, 116087200
 14839,  16,  16384,  16672,  17,  13,   2, 114566368, 114360824, 115868672, 116025144, 114033656
 14840,  16,  16384,  29944,  13,  12,   1, 113191632, 113206384, 108101240, 114068048, 113925936
 14841,  16,  16384,  14454,  12,   7,   3, 113865072, 113518920, 112770480, 112676840, 111595248
 14842,  16,  16384,  36510,   7,  22,   3, 111364464, 111022840, 109569544, 110343784, 112386984
 14843,  16,  16384,  15619,  22,  13,   3, 112520696, 111304496, 112382120, 112416000, 113124816
 14844,  16,  16384,  26353,  13,  12,   1, 114610000, 113936560, 113997992, 112772304, 113880200
 14845,  16,  16384,  26844,  12,  14,   2, 112559840, 113924704, 112449688, 113752216, 111211256
 14846,  16,  16384,  42016,  14,  15,   1, 111097200, 110960504, 111104080, 110863560, 105704656
 14847,  16,  16384,  48722,  15,  12,   2, 111587808, 111519264, 111516808, 111270288, 113418784
 14848,  16,  16384,  25380,  12,   6,   3, 113818656, 112610400, 112609256, 114072184, 108786728
 14849,  16,  16384,    159,   6,   7,   1, 103810600, 110133224, 109746520, 110177600, 111831744
 14850,  16,  16384,  24342,   7,  14,   3, 110459280, 111182664, 105193728, 111341704, 111003016
 14851,  16,  16384,  37153,  14,  17,   2, 111397800, 110734000, 109379016, 110270904, 109110608
 14852,  16,  16384,  33169,  17,  14,   2, 116015128, 114469160, 115943808, 115585392, 110924864
 14853,  16,  16384,  36482,  14,  17,   2, 110904712, 110972816, 110996480, 109820784, 115969552
 14854,  16,  16384,  28098,  17,  13,   2, 114925392, 110093296, 114523456, 116034568, 114249656
 14855,  16,  16384,  31323,  13,   4,   3, 113126184, 114182936, 113913496, 113957160, 114056648
 14856,  16,  16384,  39903,   4,   8,   3, 112846400, 107734280, 113696872, 113992056, 112868264
 14857,  16,  16384,   4268,   8,  15,   3, 111191600, 110059064, 113634432, 112582264, 111579936
 14858,  16,  16384,   4380,  15,  13,   2, 104330368, 111097696, 111312120, 111431840, 108841880
 14859,  16,  16384,  17894,  13,  12,   1, 113266256, 114061568, 113064688, 114249632, 113998656
 14860,  16,  16384,  42886,  12,  13,   1, 112521232, 113539912, 113562704, 113365320, 113967136
 14861,  16,  16384,  43262,  13,  18,   3, 114363560, 107877712, 113077112, 113958736, 112669424
 14862,  16,  16384,   5315,  18,  19,   1, 112536792, 112249080, 112489760, 111252728, 113444624
 14863,  16,  16384,  27018,  19,   4,   3, 113425152, 113156144, 113132184, 111678008, 111432384
 14864,  16,  16384,  10322,   4,   5,   1, 113652960, 113918120, 113478168, 113995248, 108029656
 14865,  16,  16384,  38351,   5,  18,   3, 114082536, 113925232, 114072728, 114074056, 111379632
 14866,  16,  16384,   5088,  18,  23,   2, 107038816, 111145512, 112434984, 112209272, 113379912
 14867,  16,  16384,  46220,  23,  22,   1, 110795832, 113247032, 112803624, 113164896, 111543400
 14868,  16,  16384,  37212,  22,  22,   0, 111393728, 112689136, 112670528, 111362336, 107496920
 14869,  16,  16384,  41273,  22,  22,   0, 111904320, 112241784, 112268008, 111237392, 112646888
 14870,  16,  16384,  28677,  22,  22,   0, 112619104, 111275128, 111217304, 112557712, 111291120
 14871,  16,  16384,  16687,  22,  18,   2, 112554320, 112382520, 109378464, 109462296, 112560768
 14872,  16,  16384,  32660,  18,   6,   3, 105578136, 112303464, 112319176, 111185840, 110263792
 14873,  16,  16384,  10007,   6,   7,   1, 110016048, 108850264, 110189208, 110318080, 111769544
 14874,  16,  16384,  40174,   7,   7,   0, 111719896, 111313392, 109916920, 111006144, 111805456
 14875,  16,  16384,  25535,   7,   7,   0, 111463952, 110298640, 111461232, 111404600, 111457640
 14876,  16,  16384,  10502,   7,   6,   1, 110376928, 111441112, 111443744, 111175824, 109081936
 14877,  16,  16384,  31557,   6,   8,   2, 109813504, 107806016, 110174248, 109750400, 113692808
 14878,  16,  16384,  44359,   8,   9,   1, 114179504, 113460040, 113616936, 105639808, 114529328
 14879,  16,  16384,  12259,   9,  10,   2, 114066008, 113955856, 114154736, 113880816, 110926640
 14880,  16,  16384,  34364,  10,  10,   0, 105257120, 110946160, 110857872, 110759248, 111043904
 14881,  16,  16384,  42988,  10,   7,   2, 110759632, 110714184, 107469744, 111016592, 111402744
 14882,  16,  16384,  24707,   7,   7,   0, 110443240, 111573000, 111371392, 111479912, 111544528
 14883,  16,  16384,  34072,   7,   6,   1, 111373728, 111185176, 111256944, 111121368, 110114848
 14884,  16,  16384,  10944,   6,  10,   2, 109068632, 110046592, 110213800, 108797016, 111113600
 14885,  16,  16384,  49309,  10,   9,   2, 110787264, 110690632, 110915848, 110940200, 114187184
 14886,  16,  16384,   8350,   9,  22,   3, 114092688, 114163688, 114048424, 110620048, 112634008
 14887,  16,  16384,  49545,  22,  19,   2, 111319272, 112331248, 112631776, 112337888, 113220592
 14888,  16,  16384,  40138,  19,  18,   1, 113367600, 112080344, 113233896, 107475440, 111463960
 14889,  16,  16384,  20898,  18,   7,   3, 111495216, 106656176, 112385752, 112398832, 111512576
 14890,  16,  16384,  16698,   7,   2,   3, 111672768, 111506072, 111380512, 105357816, 109895072
 14891,  16,  16384,  44754,   2,  20,   3, 110913104, 110707184, 105042104, 109135728, 114531672
 14892,  16,  16384,  43242,  20,  20,   0, 115723664, 115362112, 115302488, 113443952, 115475208
 14893,  16,  16384,    521,  20,   3,   3, 114293424, 115488856, 115688144, 115500568, 110510552
 14894,  16,  16384,     65,   3,   2,   1, 111733264, 105202712, 111371904, 111510032, 110891488
 14895,  16,  16384,  10375,   2,   3,   1, 110943704, 110947680, 109569640, 110647792, 111600552
 14896,  16,  16384,    644,   3,   1,   2, 111292840, 110265488, 110367864, 111755424, 112977696
 14897,  16,  16384,  34981,   1,   0,   1, 114174624, 114146944, 113924728, 113787056, 107901440
 14898,  16,  16384,  24669,   0,   0,   0, 113525640, 113271704, 113456440, 113466432, 109668336
 14899,  16,  16384,  39463,   0,   2,   2, 113897440, 113864616, 113514312, 113427320, 109805768
 14900,  16,  16384,  28877,   2,  17,   3, 110903960, 110652560, 110038768, 104869320, 107567328
 14901,  16,  16384,  23959,  17,  22,   3, 116008064, 115554472, 113176192, 115750040, 112342128
 14902,  16,  16384,  38024,  22,  23,   1, 112977064, 111208528, 111466512, 112385856, 112064832
 14903,  16,  16384,  39966,  23,  22,   1, 108091832, 111986496, 112018232, 112901560, 112495064
 14904,  16,  16384,   7875,  22,  22,   0, 112623720, 112707848, 111471088, 111710760, 112826336
 14905,  16,  16384,  25259,  22,  22,   0, 111566072, 111116872, 112228328, 112409184, 112755112
 14906,  16,  16384,  15934,  22,  22,   0, 108476336, 110525712, 112236856, 112316872, 111259048
 14907,  16,  16384,  35022,  22,  21,   2, 112446296, 111409080, 111075832, 111371712, 115845592
 14908,  16,  16384,  29176,  21,  21,   0, 114690456, 114526144, 115981712, 115752160, 115682320
 14909,  16,  16384,  44713,  21,  21,   0, 110293592, 115884160, 114554376, 116182232, 114663200
 14910,  16,  16384,  41261,  21,  23,   2, 116482936, 115919104, 113043120, 116151752, 113573352
 14911,  16,  16384,  33373,  23,  20,   2, 112167784, 113537544, 112985592, 113225504, 114430112
 14912,  16,  16384,  43295,  20,  23,   2, 114484912, 114475552, 109617648, 115569808, 113489128
 14913,  16,  16384,  18280,  23,  16,   3, 113450176, 111881816, 113141376, 113505280, 115731192
 14914,  16,  16384,   2269,  16,  10,   3, 115818296, 114087184, 114293664, 114286400, 110877200
 14915,  16,  16384,  49809,  10,  13,   3, 110027880, 111216432, 110880168, 110813616, 113470376
 14916,  16,  16384,  11328,  13,  12,   1, 113926736, 113975320, 112992544, 114107480, 112494504
 14917,  16,  16384,  12698,  12,  13,   1, 113633584, 113466184, 113627104, 113572840, 114071216
 14918,  16,  16384,   9587,  13,  13,   0, 114201064, 114175720, 112979440, 114256528, 113047848
 14919,  16,  16384,  28689,  13,  17,   2, 114141744, 113830880, 113267472, 114049136, 110421576
 14920,  16,  16384,  47971,  17,  17,   0, 116158136, 116060760, 115890832, 115779088, 116125480
 14921,  16,  16384,  34944,  17,  16,   1, 113654752, 115989544, 116287032, 116102232, 114481760
 14922,  16,  16384,  49267,  16,  17,   1, 115851072, 115216416, 114946048, 110713784, 115912648
 14923,  16,  16384,  49873,  17,  16,   1, 115928776, 113163256, 115878440, 115806552, 115625048
 14924,  16,  16384,  21409,  16,  16,   0, 114463912, 115348784, 115612824, 115210976, 108654384
 14925,  16,  16384,  32822,  16,  17,   1, 115449200, 115420480, 113970496, 115382160, 114770496
 14926,  16,  16384,  29716,  17,  20,   3, 116349880, 114286264, 115850224, 115764312, 115703048
 14927,  16,  16384,  32082,  20,  11,   3, 114395504, 115298552, 109636440, 115076528, 111701752
 14928,  16,  16384,  32484,  11,  11,   0, 111666848, 105558272, 111382712, 111442808, 111525312
 14929,  16,  16384,  46439,  11,   4,   3, 109805712, 111282368, 110768440, 111556680, 113055088
 14930,  16,  16384,  34576,   4,   4,   0, 113659944, 107573840, 112667312, 113690112, 112690056
 14931,  16,  16384,  16021,   4,   0,   2, 113767336, 113650800, 113632048, 113303224, 113653744
 14932,  16,  16384,  19635,   0,  17,   3, 112168856, 112630064, 113930704, 113666216, 114920456
 14933,  16,  16384,   1426,  17,  13,   2, 116162640, 115822328, 115861040, 115838960, 113040376
 14934,  16,  16384,  33070,  13,  13,   0, 114328416, 112246440, 114126744, 114128176, 113257048
 14935,  16,  16384,  38715,  13,  12,   1, 114155192, 114053576, 110213456, 111369184, 112478712
 14936,  16,  16384,  25110,  12,  13,   1, 113895840, 113642184, 113871680, 113586280, 114494656
 14937,  16,  16384,  11195,  13,  15,   2, 113338248, 114242768, 114133480, 114119552, 110530480
 14938,  16,  16384,  32070,  15,  14,   1, 111639520, 111727792, 110528336, 111552320, 111076584
 14939,  16,  16384,  41892,  14,   8,   3, 110896760, 109322728, 110735688, 110785416, 113024456
 14940,  16,  16384,  40243,   8,   7,   2, 113497272, 113075976, 111882136, 113980096, 111577256
 14941,  16,  16384,   2066,   7,   6,   1, 109892032, 111342656, 110998736, 111462880, 110182112
 14942,  16,  16384,  48392,   6,   7,   1, 109273608, 104371136, 110034616, 108922504, 111459776
 14943,  16,  16384,  12987,   7,   6,   1, 110010136, 111322296, 111576824, 110274440, 109745472
 14944,  16,  16384,  31364,   6,   7,   1, 110349024, 109074312, 110160912, 110226760, 110302112
 14945,  16,  16384,  41500,   7,   3,   3, 111647552, 111440960, 110197336, 110893584, 110359208
 14946,  16,  16384,  19971,   3,   8,   3, 111339528, 111188040, 110290520, 111173880, 113931336
 14947,  16,  16384,  16672,   8,   9,   1, 112840824, 112058064, 113672536, 113858248, 112904888
 14948,  16,  16384,    585,   9,   9,   0, 114048592, 111765496, 108211152, 113970136, 114238864
 14949,  16,  16384,  30676,   9,   8,   1, 114146736, 114069104, 114052736, 114095192, 113819424
 14950,  16,  16384,  40680,   8,   9,   1, 108031496, 113863128, 113653136, 113524552, 110581024
 14951,  16,  16384,  20374,   9,   8,   1, 114367880, 114113264, 113799176, 113913128, 111842016
 14952,  16,  16384,   6856,   8,   9,   1, 114049848, 113943224, 108914344, 112286416, 114172320
 14953,  16,  16384,  18986,   9,   8,   1, 111932488, 109840896, 112412104, 113997824, 114009224
 14954,  16,  16384,  12185,   8,   8,   0, 112521392, 111334080, 113824384, 113906600, 113696936
 14955,  16,  16384,  35105,   8,   7,   2, 107719976, 113521744, 113641696, 113875784, 111515800
 14956,  16,  16384,  17946,   7,  14,   3, 110362760, 111060792, 111221568, 111346640, 110890360
 14957,  16,  16384,  47440,  14,  13,   2, 111015128, 109923040, 109607152, 107150296, 114383024
 14958,  16,  16384,  30389,  13,  12,   1, 114316432, 114258656, 114342664, 114151360, 112227664
 14959,  16,  16384,   7086,  12,  17,   2, 114012960, 113740792, 113565792, 113533944, 109048440
 14960,  16,  16384,  44992,  17,  13,   2, 116379304, 116077856, 115683720, 116100256, 113990720
 14961,  16,  16384,  28829,  13,  13,   0, 113007272, 114162424, 113097488, 113758680, 114185848
 14962,  16,  16384,   8670,  13,  13,   0, 106313696, 113277648, 113732288, 114014408, 114340544
 14963,  16,  16384,  18793,  13,  17,   2, 114216264, 114166552, 113824640, 113262008, 113678528
 14964,  16,  16384,  34735,  17,  14,   2, 116213000, 116047704, 115968488, 114341136, 109920752
 14965,  16,  16384,   8091,  14,   5,   3, 110963920, 110969896, 109635520, 110506920, 114163344
 14966,  16,  16384,  17999,   5,  14,   3, 114113880, 113111928, 113981096, 114084480, 110781552
 14967,  16,  16384,  39552,  14,  17,   2, 110939640, 109825112, 110810600, 110849936, 115979848
 14968,  16,  16384,  36501,  17,  15,   2, 116321368, 115835136, 114881264, 115759216, 111605344
 14969,  16,  16384,  23452,  15,  15,   0, 112074272, 111402144, 111425736, 111407176, 109005744
 14970,  16,  16384,    866,  15,  15,   0, 111526232, 111355456, 111141184, 110957432, 111673008
 14971,  16,  16384,   5361,  15,  14,   1, 105754552, 110348712, 111516248, 111329136, 110081880
 14972,  16,  16384,  28340,  14,  13,   2, 111080624, 110970864, 109933368, 110401648, 114389064
 14973,  16,  16384,  13355,  13,  17,   2, 114445848, 114176032, 114015552, 113913768, 115169952
 14974,  16,  16384,  14221,  17,  19,   3, 112528592, 115406576, 115925432, 115814008, 113421560
 14975,  16,  16384,  35633,  19,  18,   1, 113521120, 113120392, 107406488, 113248768, 112687928
 14976,  16,  16384,  34265,  18,  18,   0, 112860904, 112285904, 111161176, 112419432, 112486960
 14977,  16,  16384,  15264,  18,   0,   3, 111253584, 106668992, 111252888, 112443184, 113746440
 14978,  16,  16384,  11840,   0,  19,   3, 113404528, 113816168, 113401320, 111007240, 112025400
 14979,  16,  16384,  47474,  19,  19,   0, 110704432, 113333600, 113359976, 113202752, 113247056
 14980,  16,  16384,   5411,  19,  10,   3, 107793256, 111931328, 113073488, 113255024, 110740920
 14981,  16,  16384,  24285,  10,   9,   2, 110046200, 110509304, 110656088, 110844520, 114260968
 14982,  16,  16384,   6206,   9,   9,   0, 114600072, 114267648, 114255272, 114362832, 114215952
 14983,  16,  16384,  10557,   9,   8,   1, 111826080, 112945576, 108026672, 114150824, 113992544
 14984,  16,  16384,  27481,   8,   8,   0, 112960424, 112865880, 113642536, 113636528, 113869552
 14985,  16,  16384,  34061,   8,   9,   1, 114035096, 113980672, 113676312, 109167064, 114172912
 14986,  16,  16384,  42512,   9,  11,   2, 114064840, 114080904, 113992352, 112749240, 111732160
 14987,  16,  16384,  37367,  11,   8,   2, 110275304, 111451976, 111701640, 110208632, 109618896
 14988,  16,  16384,  27686,   8,   8,   0, 113603648, 112490384, 113342184, 112623712, 112639512
 14989,  16,  16384,  31785,   8,   8,   0, 114074768, 112507328, 113599200, 113623304, 113841944
 14990,  16,  16384,  45813,   8,   9,   1, 113764112, 113731784, 107637400, 112847248, 113435960
 14991,  16,  16384,  36988,   9,   9,   0, 114144536, 114215912, 114215336, 114177736, 113043584
 14992,  16,  16384,  13313,   9,   8,   1, 113180912, 113104432, 114155656, 108373640, 112707952
 14993,  16,  16384,  24951,   8,  10,   2, 112750992, 113540936, 113626216, 112643328, 110917272
 14994,  16,  16384,  42251,  10,  11,   1, 110769816, 110773768, 109822112, 110551832, 111696400
 14995,  16,  16384,  14123,  11,   9,   2, 111358664, 111469800, 111525936, 111298664, 114223352
 14996,  16,  16384,  48341,   9,   8,   1, 113976712, 114044496, 113092976, 113163592, 113544432
 14997,  16,  16384,  14615,   8,   8,   0, 107881048, 113504800, 112332736, 112687592, 113509656
 14998,  16,  16384,  34658,   8,  18,   3, 113912264, 112543272, 112855208, 113519352, 112653160
 14999,  16,  16384,   6028,  18,  21,   2, 110989176, 111291744, 110958568, 112152528, 116085304
 15000,  16,  16384,  10139,  21,  22,   2, 116035848, 116198688, 115849360, 115884232, 110364568
 15001,  16,  16384,  27703,  22,  22,   0, 112214456, 111191256, 111073368, 111061536, 111592016
 15002,  16,  16384,  12661,  22,   2,   3, 112687352, 112365480, 112368368, 112551368, 110725144
 15003,  16,  16384,  47320,   2,   1,   2, 111045408, 110687560, 109565208, 110965872, 113940928
 15004,  16,  16384,  13696,   1,  18,   3, 111683800, 113298000, 113425152, 113857928, 112712344
 15005,  16,  16384,  19545,  18,  18,   0, 112938728, 112445312, 112491640, 112258864, 112742832
 15006,  16,  16384,   1817,  18,  19,   1, 111845280, 110609552, 108299296, 109369528, 113558736
 15007,  16,  16384,  12033,  19,   9,   3, 113198680, 113261984, 113032592, 107747984, 114154096
 15008,  16,  16384,  16661,   9,  19,   3, 113022864, 114189824, 112891736, 113968776, 113409400
 15009,  16,  16384,  20277,  19,  14,   3, 113292144, 113509656, 113381112, 113596640, 109826512
 15010,  16,  16384,   3597,  14,  14,   0, 110938552, 110960856, 110744232, 110999072, 110949712
 15011,  16,  16384,  46635,  14,  23,   3, 105024232, 110705512, 108644920, 110798488, 113481216
 15012,  16,  16384,  10703,  23,  21,   2, 113547520, 107087976, 109996936, 112466920, 116302048
 15013,  16,  16384,   1919,  21,  16,   3, 116348976, 114637520, 115631856, 114530096, 114325368
 15014,  16,  16384,  22196,  16,  12,   2, 115756320, 115456240, 115469016, 113929616, 111793008
 15015,  16,  16384,  49444,  12,  12,   0, 113683208, 110124312, 111022312, 113419240, 113701112
 15016,  16,  16384,  23352,  12,  10,   3, 113689072, 112589448, 113692720, 113434544, 104516664
 15017,  16,  16384,   8741,  10,  10,   0, 110538696, 111018952, 110696360, 110878160, 110952920
 15018,  16,  16384,  49462,  10,  11,   1, 111021464, 109497792, 110336296, 109752248, 109502008
 15019,  16,  16384,  30763,  11,  10,   1, 109963096, 105631240, 111337688, 111191544, 110843816
 15020,  16,  16384,  19188,  10,  10,   0, 110770504, 110822424, 109919464, 109718632, 110090248
 15021,  16,  16384,  37463,  10,   4,   3, 111246608, 110992616, 110893376, 109745072, 110404784
 15022,  16,  16384,  49647,   4,   5,   1, 114030440, 113107296, 113430216, 113782952, 112722968
 15023,  16,  16384,  27542,   5,   2,   2, 114310432, 112869424, 113934424, 112936888, 109679656
 15024,  16,  16384,   2349,   2,   2,   0, 110927560, 110924488, 110628952, 110337280, 111005216
 15025,  16,  16384,   2821,   2,   5,   2, 107793624, 106565528, 110651120, 110855080, 113411992
 15026,  16,  16384,  19333,   5,   4,   1, 112999664, 114254376, 113935536, 113699912, 112803192
 15027,  16,  16384,  18311,   4,   5,   1, 114016360, 113447240, 113952952, 113758408, 112556336
 15028,  16,  16384,  37720,   5,   5,   0, 114007576, 112326448, 113256136, 114017896, 114073016
 15029,  16,  16384,  32733,   5,   4,   1, 114360016, 113803384, 107667880, 112684752, 113804416
 15030,  16,  16384,  14378,   4,  17,   3, 114033496, 113768560, 113894088, 114025416, 116089152
 15031,  16,  16384,   1941,  17,  16,   1, 115900328, 115816352, 115838272, 115706440, 115786176
 15032,  16,  16384,  22084,  16,  16,   0, 115295296, 115381696, 115501440, 115659208, 115585256
 15033,  16,  16384,   3083,  16,  16,   0, 115419928, 114095360, 115445496, 114218976, 108647744
 15034,  16,  16384,  25850,  16,  16,   0, 115455736, 115450744, 115144024, 115482984, 115421616
 15035,  16,  16384,  24102,  16,  17,   1, 115654576, 114080312, 115247272, 114035400, 115717536
 15036,  16,  16384,  13997,  17,  13,   2, 115897768, 114478944, 115744720, 113268872, 114153872
 15037,  16,  16384,  13390,  13,  12,   1, 114192640, 114055696, 114274568, 113337664, 113825480
 15038,  16,  16384,  45267,  12,  13,   1, 112841168, 113882040, 113496568, 107083360, 114165064
 15039,  16,  16384,  39889,  13,  12,   1, 112369032, 113827848, 114061984, 113835840, 113708904
 15040,  16,  16384,  35917,  12,  18,   3, 113808432, 112608568, 113761440, 113772240, 112538912
 15041,  16,  16384,  19971,  18,  12,   3, 105694600, 112608432, 112437176, 112575552, 113674568
 15042,  16,  16384,  23674,  12,  15,   2, 111541544, 113840824, 112285144, 113570704, 110745704
 15043,  16,  16384,  15599,  15,  15,   0, 110202872, 111431464, 111428392, 111310792, 111682688
 15044,  16,  16384,  28832,  15,  15,   0, 110539168, 111660648, 111609528, 111381168, 111834424
 15045,  16,  16384,  20453,  15,  14,   1, 111613760, 107414632, 105309768, 111517064, 111131328
 15046,  16,  16384,  48234,  14,  15,   1, 111212712, 110963000, 111168824, 110980816, 111667592
 15047,  16,  16384,  22132,  15,  14,   1, 111644960, 111468656, 110604808, 104787120, 105045856
 15048,  16,  16384,  22073,  14,   4,   3, 109966472, 110783704, 111127608, 110758280, 114035248
 15049,  16,  16384,  34847,   4,   2,   2, 112648864, 113751944, 107642400, 113723344, 110623568
 15050,  16,  16384,   3872,   2,   2,   0, 109324016, 109424672, 109659056, 110762048, 110902144
 15051,  16,  16384,  15595,   2,   3,   1, 111037552, 110949936, 110777224, 110966384, 111689952
 15052,  16,  16384,  22753,   3,   3,   0, 111694120, 102615288, 111316088, 111407792, 111620648
 15053,  16,  16384,  10880,   3,   3,   0, 111118792, 111421672, 111235424, 110952896, 111583120
 15054,  16,  16384,  37060,   3,   3,   0, 110781112, 111340448, 111477680, 111727272, 105597752
 15055,  16,  16384,  32455,   3,   3,   0, 111194488, 111137808, 111348240, 111008744, 111414152
 15056,  16,  16384,  17873,   3,   3,   0, 111573896, 109993200, 110010880, 111191360, 111587032
 15057,  16,  16384,   9814,   3,   3,   0, 110253024, 110108608, 105606448, 111411232, 111548944
 15058,  16,  16384,  23971,   3,  19,   3, 111603408, 111184832, 111264784, 111433048, 112605280
 15059,  16,  16384,  41941,  19,  18,   1, 112857576, 113050824, 113191688, 111718368, 112512256
 15060,  16,  16384,  22605,  18,  23,   2, 112514032, 112370672, 112474072, 111940352, 113381000
 15061,  16,  16384,   4486,  23,  23,   0, 113393448, 112126424, 113196624, 113182016, 112085184
 15062,  16,  16384,  48217,  23,  22,   1, 110221200, 109445216, 113300344, 113645424, 111467144
 15063,  16,  16384,   6784,  22,   8,   3, 112384864, 112468352, 112644096, 110865472, 113714096
 15064,  16,  16384,  40063,   8,   8,   0, 113717768, 113661128, 113447232, 112558072, 113688336
 15065,  16,  16384,  48595,   8,   4,   3, 113679288, 113466000, 111812496, 113335224, 114057376
 15066,  16,  16384,  49194,   4,   5,   1, 112556952, 113703224, 113444976, 113813536, 113350272
 15067,  16,  16384,  38323,   5,   4,   1, 114384744, 114070672, 113823912, 106772808, 113783992
 15068,  16,  16384,  10568,   4,   5,   1, 113422728, 113363016, 113580624, 113905440, 114277512
 15069,  16,  16384,   4842,   5,   3,   2, 113004168, 113395840, 113913288, 113817720, 111397592
 15070,  16,  16384,  29013,   3,   8,   3, 110285376, 111474936, 111592256, 109114840, 113594432
 15071,  16,  16384,  31829,   8,   8,   0, 113676464, 113694856, 113277376, 112464984, 113612680
 15072,  16,  16384,  14295,   8,   6,   2, 113847392, 112532464, 112643720, 112551704, 110041752
 15073,  16,  16384,  21222,   6,   7,   1, 110128656, 109982584, 109927496, 108783904, 111495792
 15074,  16,  16384,  25246,   7,  11,   2, 111572776, 111020696, 111057576, 110550616, 111252232
 15075,  16,  16384,  36153,  11,   2,   3, 110883904, 110589808, 111260800, 111298928, 110425656
 15076,  16,  16384,  37298,   2,   2,   0, 110670592, 110655536, 109560048, 110583392, 108659216
 15077,  16,  16384,  34235,   2,   7,   3, 110820336, 110595952, 110908720, 111046576, 111444608
 15078,  16,  16384,  15615,   7,   7,   0, 110091384, 110496624, 111408320, 111489664, 111896896
 15079,  16,  16384,  37856,   7,  15,   3, 111500896, 110209024, 111422640, 105220056, 110751464
 15080,  16,  16384,  20255,  15,  15,   0, 111933920, 110543088, 111598240, 107646768, 111895792
 15081,  16,  16384,  17637,  15,  14,   1, 111815592, 111421416, 111413144, 111582152, 110807168
 15082,  16,  16384,  12470,  14,  12,   2, 111205416, 110788080, 109609720, 110738608, 113806456
 15083,  16,  16384,  39720,  12,   0,   3, 113527912, 106338056, 113539800, 113060480, 113872480
 15084,  16,  16384,  16211,   0,   1,   1, 113690440, 112407536, 113851696, 113636848, 113978144
 15085,  16,  16384,  43646,   1,   1,   0, 113785480, 113210240, 106318056, 113904216, 114312872
 15086,  16,  16384,  20126,   1,   0,   1, 114314016, 114269048, 114271664, 112543368, 113625192
 15087,  16,  16384,  49074,   0,   7,   3, 113778528, 113503896, 112634472, 113807192, 111596600
 15088,  16,  16384,   8812,   7,  10,   2, 111755072, 111304448, 107880376, 108819456, 109869560
 15089,  16,  16384,  17354,  10,  18,   3, 111336320, 110799488, 109044360, 110503584, 112681904
 15090,  16,  16384,    545,  18,  19,   1, 109972224, 109243288, 112456064, 112320712, 112260800
 15091,  16,  16384,   1975,  19,   1,   3, 113509568, 112983488, 113301384, 113161296, 114073392
 15092,  16,  16384,  23793,   1,   1,   0, 113506224, 113505760, 113482032, 106920064, 113013968
 15093,  16,  16384,  40735,   1,   1,   0, 113803800, 113706920, 113961440, 114115784, 114091704
 15094,  16,  16384,  12638,   1,   1,   0, 114034952, 114345344, 112741768, 114047152, 114009960
 15095,  16,  16384,  27273,   1,   2,   2, 106754448, 112777152, 113925584, 113976648, 105021088
 15096,  16,  16384,  14913,   2,   2,   0, 111103144, 110868440, 110786024, 110653384, 110862784
 15097,  16,  16384,   8348,   2,  17,   3, 110997408, 109495520, 110631912, 109537928, 116146656
 15098,  16,  16384,  45409,  17,  15,   2, 114751520, 115989360, 115612984, 115714088, 105575968
 15099,  16,  16384,  27478,  15,  14,   1, 110301336, 111481736, 111190136, 111498632, 110670120
 15100,  16,  16384,   8000,  14,   0,   3, 111000240, 110745000, 104759368, 108479072, 113580416
 15101,  16,  16384,  37118,   0,   0,   0, 113982912, 112590184, 113798640, 112634704, 112615144
 15102,  16,  16384,  46973,   0,   5,   2, 113877024, 110694304, 111093936, 113650016, 113111880
 15103,  16,  16384,  26666,   5,   2,   2, 113935496, 112750200, 113996000, 113325784, 110765424
 15104,  16,  16384,  31366,   2,   0,   2, 109964800, 109821400, 110827416, 110913984, 113597488
 15105,  16,  16384,  25116,   0,   1,   1, 113642416, 112620808, 113510232, 112915920, 112960352
 15106,  16,  16384,  47003,   1,   0,   1, 114133264, 113811888, 113840912, 112732616, 107680264
 15107,  16,  16384,  36223,   0,   4,   2, 113696584, 113780224, 112375024, 113580896, 112568800
 15108,  16,  16384,   2637,   4,  14,   3, 113954440, 112577480, 113811472, 113583008, 110968840
 15109,  16,  16384,  25384,  14,  13,   2, 107422584, 107861360, 110323040, 110262176, 112828552
 15110,  16,  16384,  28723,  13,  13,   0, 113249096, 113045784, 113978624, 107963400, 114334448
 15111,  16,  16384,   7808,  13,  13,   0, 114172440, 113967056, 114186888, 113901376, 113491976
 15112,  16,  16384,  29257,  13,   7,   3, 113808800, 114187992, 112667208, 113065864, 109462568
 15113,  16,  16384,  25648,   7,   9,   2, 110193400, 111537088, 110087320, 111451560, 108227384
 15114,  16,  16384,  16694,   9,   2,   3, 114019640, 113045512, 114074952, 113968896, 110970112
 15115,  16,  16384,  37320,   2,  11,   3, 110943696, 109653008, 109335920, 109641808, 111443416
 15116,  16,  16384,  27244,  11,  10,   1, 111662216, 111520632, 111598304, 111313512, 110715104
 15117,  16,  16384,   2555,  10,  15,   3, 111070608, 110749048, 104525544, 110662224, 111495312
 15118,  16,  16384,  31813,  15,  17,   2, 111781960, 110363648, 111620376, 111482504, 114914408
 15119,  16,  16384,  35246,  17,  20,   3, 116248680, 115799328, 114825208, 115828448, 115473192
 15120,  16,  16384,  22565,  20,  23,   2, 115585688, 115425168, 115432376, 115514592, 113446520
 15121,  16,  16384,  46107,  23,  22,   1, 113220456, 113227400, 113333904, 113142824, 111201224
 15122,  16,  16384,  36364,  22,   9,   3, 112425232, 112630944, 104526272, 112286504, 109854088
 15123,  16,  16384,   2927,   9,   7,   2, 112486752, 112825552, 113909360, 113882216, 111396992
 15124,  16,  16384,  44169,   7,   9,   2, 105417264, 110322600, 111300288, 110178864, 114186640
 15125,  16,  16384,   6115,   9,   8,   1, 112845000, 113819240, 107454480, 113614184, 112752808
 15126,  16,  16384,  35755,   8,   0,   3, 105795656, 113349408, 113735192, 113806824, 113945832
 15127,  16,  16384,  35108,   0,   0,   0, 113588224, 112404664, 113500800, 113583056, 113717032
 15128,  16,  16384,  37296,   0,   1,   1, 113836248, 112634208, 112604368, 105872352, 114089736
 15129,  16,  16384,  44281,   1,   1,   0, 114110800, 111565376, 113894416, 112599112, 113084176
 15130,  16,  16384,  27517,   1,   0,   1, 107878048, 113833400, 113846608, 113933448, 113549024
 15131,  16,  16384,  37337,   0,   1,   1, 113641104, 113597344, 113741280, 113452608, 112977544
 15132,  16,  16384,  44601,   1,   5,   2, 114310936, 112581104, 107937256, 113661664, 114000664
 15133,  16,  16384,   3907,   5,   2,   2, 107999776, 113775504, 114012592, 113959664, 108099216
 15134,  16,  16384,  18844,   2,   2,   0, 108356920, 110892352, 110866768, 110914784, 109832184
 15135,  16,  16384,  30900,   2,   3,   1, 110802808, 111049360, 110703464, 110615400, 111386584
 15136,  16,  16384,  22626,   3,   2,   1, 110387816, 110209304, 111346456, 111214048, 111134704
 15137,  16,  16384,  23969,   2,   0,   2, 110861288, 110008504, 110719184, 110769288, 113714456
 15138,  16,  16384,   1972,   0,   1,   1, 114026848, 113707288, 113399928, 112396632, 114296216
 15139,  16,  16384,  46548,   1,   5,   2, 112659824, 112681552, 113904504, 113382832, 113878160
 15140,  16,  16384,  39848,   5,   5,   0, 114112648, 114096696, 113946416, 113808344, 108089224
 15141,  16,  16384,  28914,   5,   0,   2, 112889512, 113992168, 111554032, 113879744, 113760368
 15142,  16,  16384,  20965,   0,   1,   1, 112515336, 106306200, 113728176, 113673992, 114084240
 15143,  16,  16384,  47560,   1,   2,   2, 112929008, 113956952, 112651200, 114173840, 110964816
 15144,  16,  16384,  33609,   2,   3,   1, 110893560, 110767144, 110847256, 110653464, 111548776
 15145,  16,  16384,  14847,   3,   2,   1, 110086264, 111386104, 111652608, 111322040, 109690440
 15146,  16,  16384,  13028,   2,  16,   3, 110637176, 110810464, 110728584, 110691736, 114405320
 15147,  16,  16384,  30483,  16,  16,   0, 115698080, 115253096, 115481392, 114015224, 114201048
 15148,  16,  16384,  11410,  16,  12,   2, 115819704, 115170480, 115145848, 114198904, 113789896
 15149,  16,  16384,  15396,  12,  12,   0, 113389752, 111058472, 113452160, 113491008, 113762144
 15150,  16,  16384,  38223,  12,  12,   0, 107970224, 113459584, 112159392, 113686592, 113705448
 15151,  16,  16384,   8632,  12,  12,   0, 113752160, 112612152, 113611248, 112445480, 112421072
 15152,  16,  16384,  45826,  12,  13,   1, 114172176, 113505584, 113756048, 112248400, 114106192
 15153,  16,  16384,  11933,  13,   6,   3, 110787128, 113989200, 114384512, 114094856, 110160376
 15154,  16,  16384,  42417,   6,  13,   3, 107793272, 109960128, 110073120, 108925256, 113007136
 15155,  16,  16384,   8279,  13,  14,   2, 114250128, 112881504, 111803664, 114252840, 109937112
 15156,  16,  16384,   8802,  14,  22,   3, 111257488, 111076352, 102661456, 110514840, 112556848
 15157,  16,  16384,  44208,  22,   0,   3, 112619448, 112066400, 112335504, 111024352, 113572704
 15158,  16,  16384,  40033,   0,   0,   0, 114144976, 112928952, 113331648, 107673912, 112689224
 15159,  16,  16384,  19643,   0,   0,   0, 112910840, 113648504, 112615288, 113663440, 113876480
 15160,  16,  16384,  29431,   0,   1,   1, 113459264, 113677680, 113613384, 113749240, 114009224
 15161,  16,  16384,  20363,   1,   4,   2, 114132688, 111452008, 114026704, 113865696, 113142240
 15162,  16,  16384,  15673,   4,   4,   0, 113978000, 107527904, 113852408, 113568536, 113517464
 15163,  16,  16384,   2902,   4,   4,   0, 113838856, 112595104, 114124672, 113823704, 111547752
 15164,  16,  16384,  10831,   4,  10,   3, 113982560, 112823552, 113714032, 113578312, 110890160
 15165,  16,  16384,  30474,  10,   0,   3, 109793416, 110850000, 110667016, 109693056, 113807744
 15166,  16,  16384,   3329,   0,   5,   2, 114001848, 111335952, 107521128, 113114240, 113925880
 15167,  16,  16384,  38815,   5,   4,   1, 113970928, 112722320, 113857848, 110222016, 113949008
 15168,  16,  16384,  11124,   4,   1,   2, 113130472, 107267032, 114005272, 111752824, 114076472
 15169,  16,  16384,   5875,   1,   1,   0, 114205648, 112729168, 114023608, 112871136, 114043856
 15170,  16,  16384,   1321,   1,   1,   0, 114160736, 108483072, 113002968, 114111656, 111669504
 15171,  16,  16384,   4783,   1,   5,   2, 114014384, 113522904, 113956992, 113976416, 112936448
 15172,  16,  16384,  16095,   5,   2,   2, 114247728, 113925584, 112949104, 113984736, 111026904
 15173,  16,  16384,  42421,   2,   2,   0, 109787240, 110636400, 106545312, 108801280, 109546112
 15174,  16,  16384,  34058,   2,   5,   2, 109571496, 110936800, 110770416, 110907920, 114208840
 15175,  16,  16384,  12986,   5,   1,   2, 114238408, 108101744, 114142728, 111611824, 113936808
 15176,  16,  16384,  25164,   1,  14,   3, 114226936, 114162528, 114099128, 114147080, 111304784
 15177,  16,  16384,  45797,  14,  14,   0, 111159384, 110369344, 110326784, 107090296, 110883800
 15178,  16,  16384,  38810,  14,  14,   0, 109614048, 110714704, 109659624, 111055096, 111027272
 15179,  16,  16384,  37384,  14,  15,   1, 111057944, 110880040, 110851048, 110145976, 111571560
 15180,  16,  16384,  42207,  15,  14,   1, 111774480, 111536392, 110575456, 111279544, 110480200
 15181,  16,  16384,  16247,  14,  15,   1, 110307064, 110983248, 110636880, 110717432, 110303696
 15182,  16,  16384,  24719,  15,  21,   3, 111890688, 111227848, 111552760, 110429656, 114716760
 15183,  16,  16384,   2919,  21,  21,   0, 115977248, 115746568, 115855776, 114776896, 116031280
 15184,  16,  16384,  10603,  21,  20,   1, 115439528, 110205544, 115859728, 115716472, 114001384
 15185,  16,  16384,   4522,  20,  21,   1, 115474992, 115122232, 115390624, 114371808, 116009248
 15186,  16,  16384,  43653,  21,  23,   2, 115729440, 115363920, 115825008, 115983744, 113241264
 15187,  16,  16384,  29423,  23,  23,   0, 112259872, 113205752, 113280808, 113286192, 113202912
 15188,  16,  16384,  32447,  23,  22,   1, 113431568, 113100936, 113059192, 110539040, 111022816
 15189,  16,  16384,  39652,  22,  23,   1, 112482688, 110925280, 112195720, 111072248, 113333896
 15190,  16,  16384,  37973,  23,  22,   1, 113345208, 113589968, 113257168, 113262136, 112610224
 15191,  16,  16384,  36694,  22,  22,   0, 105471560, 112404624, 111235192, 112313864, 111370096
 15192,  16,  16384,  38551,  22,  21,   2, 113036336, 112491320, 112467168, 112166720, 116049960
 15193,  16,  16384,  14490,  21,  23,   2, 116150600, 115673968, 110161944, 113012240, 113248312
 15194,  16,  16384,  27122,  23,   8,   3, 113273232, 113411216, 113092832, 113150096, 113953696
 15195,  16,  16384,  12054,   8,   8,   0, 113917264, 112397248, 113658240, 107501200, 112480200
 15196,  16,  16384,  15362,   8,   8,   0, 113598512, 113856120, 113690912, 113653296, 113129720
 15197,  16,  16384,  25927,   8,  21,   3, 113801528, 112775136, 113738832, 113779032, 115870952
 15198,  16,  16384,   6727,  21,  10,   3, 116121288, 107415168, 116074856, 114389728, 111051160
 15199,  16,  16384,   3063,  10,   8,   2, 111076456, 110436640, 105035800, 108039776, 113996880
 15200,  16,  16384,  31328,   8,   8,   0, 113820824, 112533728, 113533584, 113678016, 112657872
 15201,  16,  16384,   5344,   8,  11,   2, 114078872, 113602328, 113802496, 112576712, 110888784
 15202,  16,  16384,  22493,  11,  21,   3, 111192680, 111590584, 105526584, 111579928, 116037912
 15203,  16,  16384,  47480,  21,  10,   3, 107424184, 114345432, 115770216, 115860568, 110876840
 15204,  16,  16384,  39093,  10,  10,   0, 103632192, 110847936, 110749624, 110682880, 109903736
 15205,  16,  16384,  28212,  10,   6,   2, 110197424, 110707032, 111074856, 110010992, 110061760
 15206,  16,  16384,  41357,   6,   7,   1, 110153360, 110128624, 108428344, 109669328, 111209504
 15207,  16,  16384,  29603,   7,   6,   1, 105614848, 109120232, 111562208, 110001456, 110109904
 15208,  16,  16384,    634,   6,   6,   0, 104479304, 110066032, 109880360, 110427640, 108041616
 15209,  16,  16384,  18357,   6,  11,   2, 110386568, 110175864, 109960464, 109000424, 110973840
 15210,  16,  16384,  41116,  11,  11,   0, 110736584, 111368648, 111532152, 111434136, 111466584
 15211,  16,  16384,  49361,  11,   3,   3, 111482656, 111631064, 111555568, 105521512, 110879872
 15212,  16,  16384,  34780,   3,   2,   1, 110834056, 110350712, 110943640, 111212136, 110811672
 15213,  16,  16384,  38646,   2,   2,   0, 110812456, 109841864, 109654296, 110734000, 109745728
 15214,  16,  16384,  30667,   2,   2,   0, 111227608, 109557768, 110888888, 104831640, 110851744
 15215,  16,  16384,  31179,   2,   4,   2, 110697672, 110812760, 110676808, 109660264, 106499408
 15216,  16,  16384,  32079,   4,   5,   1, 113802192, 112468264, 112603352, 114080280, 113539088
 15217,  16,  16384,  19035,   5,  21,   3, 114061824, 114023104, 113985112, 113978680, 116234720
 15218,  16,  16384,  19355,  21,  20,   1, 115796936, 114508896, 116181648, 116020304, 115482376
 15219,  16,  16384,   1360,  20,  20,   0, 115450080, 109558632, 115279840, 115274104, 115515200
 15220,  16,  16384,  29116,  20,  20,   0, 115573272, 115170664, 115356808, 114206216, 115645424
 15221,  16,  16384,  16287,  20,  22,   2, 114058496, 114042760, 115281192, 115445376, 112561296
 15222,  16,  16384,   1498,  22,  10,   3, 111031904, 112154824, 112614168, 112631336, 111143552
 15223,  16,  16384,  14309,  10,  11,   1, 110725736, 110819944, 110916536, 109685680, 111743352
 15224,  16,  16384,  25748,  11,   2,   3, 111853208, 111685752, 111510912, 111633840, 111265952
 15225,  16,  16384,  44133,   2,   2,   0, 110900352, 110827664, 110737784, 110903944, 111087272
 15226,  16,  16384,  48424,   2,  16,   3, 107290824, 105031160, 110653512, 110618616, 115635736
 15227,  16,  16384,  31958,  16,  14,   2, 115614824, 115406352, 115352216, 113071816, 110923080
 15228,  16,  16384,  46171,  14,  14,   0, 111079728, 107921408, 104142200, 109858888, 111066472
 15229,  16,  16384,  26160,  14,  15,   1, 111170728, 110912504, 110848384, 110548968, 104871264
 15230,  16,  16384,  13753,  15,  17,   2, 110560800, 111538904, 110309064, 111328232, 116270408
 15231,  16,  16384,   2122,  17,  17,   0, 116451176, 116055944, 110146968, 114495536, 116025344
 15232,  16,  16384,   3900,  17,  16,   1, 116125776, 115600768, 111583936, 116053464, 115460864
 15233,  16,  16384,  40026,  16,  15,   2, 115428456, 115251776, 115297224, 115304968, 111485688
 15234,  16,  16384,   5478,  15,  14,   1, 111520392, 111636184, 111070048, 104717072, 110819048
 15235,  16,  16384,  25236,  14,  14,   0, 110923376, 102712728, 105713784, 109659464, 110978200
 15236,  16,  16384,  24679,  14,  15,   1, 111210408, 110791800, 110614440, 111069576, 106499592
 15237,  16,  16384,  16436,  15,  17,   2, 109745776, 110486160, 111313544, 110256984, 115949960
 15238,  16,  16384,  18622,  17,  17,   0, 116549936, 115930448, 115967424, 114714512, 110381440
 15239,  16,  16384,  29983,  17,  12,   2, 115813776, 115818688, 114606352, 113050960, 113240992
 15240,  16,  16384,  25590,  12,  15,   2, 112781088, 113747992, 113609304, 113594432, 111790384
 15241,  16,  16384,  18185,  15,   9,   3, 111808584, 110283848, 111498192, 105516000, 108402584
 15242,  16,  16384,  41429,   9,  12,   3, 114239712, 114029936, 113828904, 113912880, 113837800
 15243,  16,  16384,  47611,  12,  12,   0, 113859576, 113762912, 113742640, 112526296, 107539936
 15244,  16,  16384,  47163,  12,  13,   1, 113854432, 113525008, 112704456, 113896096, 114105920
 15245,  16,  16384,  35642,  13,  17,   2, 114319360, 113020200, 113803400, 113950608, 109006072
 15246,  16,  16384,  30396,  17,  15,   2, 116040144, 115846560, 115871888, 116060240, 110577488
 15247,  16,  16384,  33229,  15,   1,   3, 111444984, 111173256, 111691576, 110356720, 114106192
 15248,  16,  16384,  29684,   1,   0,   1, 114099456, 112686880, 114192424, 114013944, 112681008
 15249,  16,  16384,  24004,   0,  11,   3, 112555848, 113670808, 113421968, 113685040, 110716616
 15250,  16,  16384,  18615,  11,   7,   2, 111814376, 111651904, 111254040, 111399152, 110088752
 15251,  16,  16384,  45198,   7,  22,   3, 111411728, 108882184, 111441864, 110360952, 112886472
 15252,  16,  16384,  47411,  22,  23,   1, 111232112, 112361008, 112398328, 112740216, 113582144
 15253,  16,  16384,   3316,  23,  19,   2, 107422344, 112842664, 111751680, 113395536, 111924512
 15254,  16,  16384,  14563,  19,  23,   2, 113498096, 113350680, 106211808, 112197136, 113423104
 15255,  16,  16384,   7870,  23,   8,   3, 113351112, 113109032, 113419776, 113481168, 112580896
 15256,  16,  16384,  37697,   8,   8,   0, 112511040, 113666624, 113903912, 113769296, 114011504
 15257,  16,  16384,  13051,   8,  10,   2, 113722104, 112754416, 113776128, 113718520, 110866720
 15258,  16,  16384,    264,  10,  12,   3, 111165032, 110750736, 110098216, 110055056, 114002272
 15259,  16,  16384,  13316,  12,  15,   2, 113912424, 113548856, 107596272, 113755256, 111622400
 15260,  16,  16384,  47341,  15,  15,   0, 110317312, 111145448, 111408560, 105401960, 111492944
 15261,  16,  16384,  24687,  15,  17,   2, 111625704, 111668424, 107779736, 111815256, 116167760
 15262,  16,  16384,  23154,  17,  20,   3, 116184496, 110344056, 115186480, 115068640, 115601872
 15263,  16,  16384,  33314,  20,  21,   1, 115374008, 114912704, 106613864, 115152272, 115889016
 15264,  16,  16384,  42066,  21,  21,   0, 116034080, 109859600, 115796400, 115738448, 116166288
 15265,  16,  16384,  45739,  21,   4,   3, 116152768, 113156408, 116050920, 114759112, 113956664
 15266,  16,  16384,  38376,   4,   4,   0, 111590656, 113723328, 113812216, 113427344, 114010240
 15267,  16,  16384,   1270,   4,   5,   1, 107859040, 113839912, 113538136, 113702080, 113994752
 15268,  16,  16384,  42248,   5,   4,   1, 114251288, 113885816, 113956984, 112851000, 113826784
 15269,  16,  16384,  47401,   4,   4,   0, 114075128, 113776552, 110637888, 110790968, 113915928
 15270,  16,  16384,  24219,   4,   5,   1, 113067528, 112546672, 113751104, 112807104, 113927864
 15271,  16,  16384,  10256,   5,   4,   1, 113042792, 113983232, 107681088, 113938568, 107800728
 15272,  16,  16384,   9950,   4,   2,   2, 114007576, 113698392, 112613680, 113767264, 110627008
 15273,  16,  16384,  32818,   2,   3,   1, 110761568, 109506800, 109399752, 110472872, 111451816
 15274,  16,  16384,  29729,   3,   0,   2, 111491728, 111443920, 105055256, 111111200, 113767432
 15275,  16,  16384,  19933,   0,   6,   3, 112531024, 113653080, 112458016, 106309736, 110287320
 15276,  16,  16384,   6565,   6,   7,   1, 110106624, 109960328, 107695856, 104444664, 111472792
 15277,  16,  16384,  25522,   7,   6,   1, 110987840, 110507296, 107973472, 108716576, 108954000
 15278,  16,  16384,   9150,   6,   7,   1, 108874552, 110059184, 110307968, 109851368, 111695208
 15279,  16,  16384,  19198,   7,   6,   1, 111422376, 111251584, 111330064, 110085448, 110217456
 15280,  16,  16384,  25959,   6,  17,   3, 110282656, 108882152, 110134352, 108942688, 114622040
 15281,  16,  16384,  11445,  17,  16,   1, 115879736, 114399848, 114625088, 115739952, 115791656
 15282,  16,  16384,  47280,  16,  16,   0, 115605120, 114249152, 114159384, 114403632, 109713160
 15283,  16,  16384,  32961,  16,   6,   3, 115616600, 115205672, 115261488, 115310104, 110041976
 15284,  16,  16384,  26149,   6,  20,   3, 110018248, 110175864, 110098016, 108879392, 114604992
 15285,  16,  16384,  12642,  20,  22,   2, 115475256, 115607696, 115271552, 115373808, 112589816
 15286,  16,  16384,  48651,  22,  23,   1, 111539800, 112525336, 112578784, 112776392, 111798936
 15287,  16,  16384,  48863,  23,   4,   3, 112423288, 111871072, 113206176, 113147736, 113903400
 15288,  16,  16384,  32545,   4,   7,   3, 113842616, 113920880, 111217176, 112724712, 111468640
 15289,  16,  16384,  37262,   7,  13,   3, 110131384, 110334896, 111285376, 111437912, 114571104
 15290,  16,  16384,  13410,  13,  16,   2, 108310328, 114034360, 113937320, 112852960, 115491944
 15291,  16,  16384,  18182,  16,  16,   0, 115586016, 115340960, 112949640, 115298768, 115572056
 15292,  16,  16384,  32640,  16,   6,   3, 115856928, 115505440, 115290488, 114101304, 110115688
 15293,  16,  16384,   2495,   6,   7,   1, 110318440, 107695856, 110029480, 109952832, 110714960
 15294,  16,  16384,  16774,   7,  23,   3, 111716528, 111494624, 111589720, 111607472, 113668448
 15295,  16,  16384,  13547,  23,  23,   0, 113366352, 113158600, 111882744, 112873984, 112132384
 15296,  16,  16384,  13795,  23,  23,   0, 113638288, 112021856, 112919232, 113285920, 113321904
 15297,  16,  16384,  42304,  23,   6,   3, 113393512, 113428808, 113208712, 113238528, 108541680
 15298,  16,  16384,  28725,   6,   7,   1, 110020608, 109994760, 110047616, 109015640, 111315840
 15299,  16,  16384,  34200,   7,   6,   1, 111668016, 111369648, 111568440, 111554944, 110251128
 15300,  16,  16384,  30566,   6,   7,   1, 108802824, 108859184, 110001104, 110090488, 110401360
 15301,  16,  16384,   1324,   7,   8,   2, 111513944, 111433552, 111313712, 111444144, 113668312
 15302,  16,  16384,  17798,   8,   9,   1, 113057144, 107250424, 113798080, 112722840, 112929048
 15303,  16,  16384,    808,   9,   5,   3, 113338504, 114154712, 114094160, 113083296, 114096856
 15304,  16,  16384,  34613,   5,   5,   0, 114180952, 114119792, 114077664, 114101312, 110764176
 15305,  16,  16384,  28550,   5,   4,   1, 114175512, 113937312, 110466280, 111527816, 113833264
 15306,  16,  16384,  24901,   4,   7,   3, 112778120, 113611512, 113754352, 113574720, 107492088
 15307,  16,  16384,   3183,   7,   7,   0, 109177616, 109804048, 110446504, 109027536, 111372992
 15308,  16,  16384,  33593,   7,  11,   2, 111717480, 111169384, 111517480, 111323648, 111876168
 15309,  16,  16384,  37835,  11,  20,   3, 111329352, 111576696, 111272880, 110247984, 114233392
 15310,  16,  16384,  18279,  20,  21,   1, 115791512, 115444184, 115250880, 114215888, 116122768
 15311,  16,  16384,  18841,  21,  19,   2, 116106944, 115861832, 115587024, 115925248, 113361296
 15312,  16,  16384,  21873,  19,  19,   0, 105616040, 113254584, 113433960, 113432656, 111859800
 15313,  16,  16384,  30757,  19,  20,   2, 113533696, 111998464, 113198944, 113292136, 110361688
 15314,  16,  16384,  27860,  20,  22,   2, 114874648, 113977448, 114019920, 115250848, 112747424
 15315,  16,  16384,  49975,  22,  19,   2, 112882888, 112112720, 112360792, 110019176, 113233264
 15316,  16,  16384,  17502,  19,  15,   3, 112196656, 113169352, 113202712, 112024752, 110400376
 15317,  16,  16384,  49245,  15,  15,   0, 111985000, 109265928, 111327680, 111608328, 111655376
 15318,  16,  16384,  40331,  15,  14,   1, 111676616, 111134848, 110615336, 111551376, 110566816
 15319,  16,  16384,  43417,  14,  13,   2, 108815792, 110902288, 110972304, 110620664, 113929688
 15320,  16,  16384,  34351,  13,  15,   2, 114196336, 114302728, 113224352, 105951272, 111587648
 15321,  16,  16384,  42415,  15,  15,   0, 111672008, 111677968, 110477960, 110483136, 110852240
 15322,  16,  16384,  47323,  15,  14,   1, 111806776, 105464584, 111437144, 111322264, 110788696
 15323,  16,  16384,   2895,  14,  15,   1, 109902376, 110825136, 108644152, 110990136, 110356112
 15324,  16,  16384,    381,  15,  15,   0, 111818768, 110092704, 111458936, 111612632, 105576832
 15325,  16,  16384,  15275,  15,  15,   0, 111278024, 110485264, 111308968, 111521224, 111579760
 15326,  16,  16384,  24833,  15,  14,   1, 111672120, 111720144, 109415248, 111412456, 110096600
 15327,  16,  16384,   9182,  14,   8,   3, 110960312, 110750536, 110849320, 110476744, 112678448
 15328,  16,  16384,  25386,   8,   9,   1, 114022736, 113849992, 113591264, 113954912, 114327904
 15329,  16,  16384,  19402,   9,   7,   2, 113940800, 114066928, 113872032, 113152184, 111610168
 15330,  16,  16384,  38288,   7,   6,   1, 111169456, 111268944, 111329072, 110939768, 110053848
 15331,  16,  16384,  39734,   6,   9,   2, 109973480, 108731696, 106583448, 108009680, 114351528
 15332,  16,  16384,  13702,   9,  14,   3, 114167712, 111858672, 114173224, 112822792, 108634976
 15333,  16,  16384,  16154,  14,  17,   2, 110520344, 110476728, 110758448, 104906696, 114846024
 15334,  16,  16384,   1336,  17,  17,   0, 115313464, 115787816, 115972912, 114690560, 112687208
 15335,  16,  16384,   1478,  17,  11,   3, 114110056, 115886128, 115561000, 114427232, 111567136
 15336,  16,  16384,  33155,  11,  11,   0, 111781224, 109113400, 105590760, 110497504, 111595112
 15337,  16,  16384,   6840,  11,  10,   1, 111549920, 111681008, 111292344, 111479912, 109661144
 15338,  16,  16384,  42642,  10,  11,   1, 110960824, 110692392, 110945328, 109624272, 104506168
 15339,  16,  16384,  47702,  11,  11,   0, 111610544, 111461408, 111397352, 111317336, 111573024
 15340,  16,  16384,  10132,  11,   0,   3, 111571952, 111306296, 111375904, 110432112, 111363008
 15341,  16,  16384,  25588,   0,   1,   1, 113769688, 113409216, 106566656, 113806224, 114242296
 15342,  16,  16384,  48772,   1,  11,   3, 113046888, 113981200, 113016456, 114333096, 110503368
 15343,  16,  16384,  28153,  11,  11,   0, 110818296, 110359640, 107216288, 108010816, 111411352
 15344,  16,  16384,  11226,  11,   7,   2, 111730704, 111367992, 111386584, 111391664, 111577536
 15345,  16,  16384,  10149,   7,   8,   2, 111443888, 111655536, 110419600, 111372104, 113801912
 15346,  16,  16384,  25278,   8,   9,   1, 111592696, 113643632, 112600656, 113554912, 107874688
 15347,  16,  16384,  18829,   9,  22,   3, 112772776, 114116720, 114144264, 113795952, 111899784
 15348,  16,  16384,  13176,  22,  21,   2, 112561504, 112136864, 112573320, 112195232, 110204024
 15349,  16,  16384,   2442,  21,  20,   1, 115873944, 114647416, 114579504, 115950048, 115683808
 15350,  16,  16384,   1648,  20,  21,   1, 114384552, 115599960, 115219928, 115219120, 116027056
 15351,  16,  16384,  44006,  21,  19,   2, 114658688, 115777520, 110191432, 115754288, 113303728
 15352,  16,  16384,  44745,  19,  21,   2, 113248696, 113224504, 107301320, 111949576, 116158888
 15353,  16,  16384,  30543,  21,  21,   0, 115990896, 114558824, 115877768, 115887344, 111156064
 15354,  16,  16384,  31004,  21,  21,   0, 114798720, 115912416, 115770288, 115945960, 114728400
 15355,  16,  16384,  31669,  21,   1,   3, 115708544, 115805312, 115847864, 114433120, 114025408
 15356,  16,  16384,  18745,   1,   4,   2, 112922656, 113684304, 112116456, 113851744, 113786488
 15357,  16,  16384,   1427,   4,   5,   1, 113697288, 113638904, 113374568, 112436584, 113988880
 15358,  16,  16384,  18715,   5,   4,   1, 113285720, 113999168, 113682280, 113336032, 113848280
 15359,  16,  16384,  49428,   4,  10,   3, 112722440, 113392120, 113683808, 113541336, 109605984
 15360,  16,  16384,   6151,  10,  10,   0, 109989960, 110808024, 110799504, 110935728, 110753784
 15361,  16,  16384,  39657,  10,  14,   3, 108938304, 110942560, 110638112, 110906128, 111098808
 15362,  16,  16384,  39080,  14,  13,   2, 110948904, 109677400, 110793440, 109642792, 114069384
 15363,  16,  16384,  22511,  13,  12,   1, 113036048, 114222896, 112833320, 114046704, 113393840
 15364,  16,  16384,  10956,  12,  16,   2, 113451840, 113363744, 108803800, 111769688, 115559928
 15365,  16,  16384,  34726,  16,  16,   0, 115681936, 115249968, 114150872, 114735696, 115701632
 15366,  16,  16384,  48625,  16,  16,   0, 114178816, 115627928, 115567392, 115364608, 114468392
 15367,  16,  16384,  29192,  16,  16,   0, 115745976, 115236104, 115417552, 115349320, 115508304
 15368,  16,  16384,  25797,  16,  10,   3, 115311168, 109423080, 114144480, 115188624, 111057344
 15369,  16,  16384,  42100,  10,   7,   2, 109762008, 110944680, 110261720, 105390536, 111559352
 15370,  16,  16384,  48253,   7,   7,   0, 108985656, 111303216, 110329776, 111163328, 111551128
 15371,  16,  16384,  13988,   7,  11,   2, 111505200, 110009880, 111658584, 111203808, 110745016
 15372,  16,  16384,  26518,  11,  14,   3, 110737472, 111652488, 109035400, 106810056, 110982744
 15373,  16,  16384,  22715,  14,  15,   1, 111004712, 109807480, 110762464, 110647696, 111703152
 15374,  16,  16384,   7015,  15,  17,   2, 111724368, 110517512, 110463136, 111750800, 115308624
 15375,  16,  16384,  33334,  17,  13,   2, 114978104, 114427032, 115750728, 115650024, 113991656
 15376,  16,  16384,  25375,  13,  17,   2, 107008456, 114308600, 114189208, 114083768, 115990152
 15377,  16,  16384,  47073,  17,   0,   3, 110368392, 114472296, 115942048, 115693672, 112431248
 15378,  16,  16384,  24708,   0,  14,   3, 112699936, 113469232, 113335080, 113596824, 104078672
 15379,  16,  16384,  23306,  14,  14,   0, 109950320, 110728880, 110556904, 110871936, 109703088
 15380,  16,  16384,  45977,  14,  21,   3, 111343928, 110796624, 111025824, 109542880, 116044024
 15381,  16,  16384,     45,  21,  20,   1, 115935872, 109788408, 115900464, 115637864, 115576272
 15382,  16,  16384,   3859,  20,   0,   3, 113172400, 115379352, 108245712, 114507832, 113617432
 15383,  16,  16384,  49837,   0,   2,   2, 112283760, 113606184, 113660248, 113393376, 110816992
 15384,  16,  16384,   9096,   2,  11,   3, 111110272, 110948544, 104689232, 110725456, 111695352
 15385,  16,  16384,  13319,  11,  11,   0, 109393640, 110348448, 110549056, 111926344, 111892752
 15386,  16,  16384,  19669,  11,  10,   1, 111701360, 111535728, 110397960, 111686472, 110166648
 15387,  16,  16384,  38690,  10,   8,   2, 111256616, 110967912, 110863736, 109699432, 113621616
 15388,  16,  16384,  41583,   8,   7,   2, 113722328, 113744216, 113842472, 113551216, 111541696
 15389,  16,  16384,  44612,   7,   0,   3, 111131184, 110574008, 111299416, 111306848, 112361520
 15390,  16,  16384,  27580,   0,  17,   3, 114236400, 113459544, 112701968, 113827696, 115757824
 15391,  16,  16384,  46416,  17,  14,   2, 115769832, 115726896, 115875704, 114637680, 110881400
 15392,  16,  16384,  46114,  14,   0,   3, 110986312, 111020824, 110675776, 110865736, 113767648
 15393,  16,  16384,  34803,   0,   4,   2, 113608096, 113565712, 113697104, 107590976, 113809168
 15394,  16,  16384,   3673,   4,   5,   1, 112532184, 113774520, 112448752, 113582512, 114119656
 15395,  16,  16384,  38150,   5,  19,   3, 108033928, 113709704, 113924456, 113988720, 113446816
 15396,  16,  16384,  23021,  19,  16,   3, 113686320, 111880024, 113439488, 113342856, 110446552
 15397,  16,  16384,  18367,  16,  17,   1, 114279272, 115446560, 115350200, 115305960, 116114688
 15398,  16,  16384,  26503,  17,  13,   2, 116263728, 115943904, 115848168, 113088120, 113570416
 15399,  16,  16384,  11324,  13,  12,   1, 112533824, 113404184, 114018784, 112753984, 113535576
 15400,  16,  16384,   5306,  12,  13,   1, 113959408, 113585504, 113765872, 113745448, 114274032
 15401,  16,  16384,   2547,  13,  13,   0, 108326016, 112929616, 113861904, 111620504, 114082496
 15402,  16,  16384,  45060,  13,  12,   1, 113195456, 113922248, 114082576, 114175352, 113739568
 15403,  16,  16384,   1347,  12,  13,   1, 112729304, 113561168, 113708688, 113728432, 112017768
 15404,  16,  16384,   8059,  13,  10,   3, 114237152, 112627928, 112768968, 114116552, 110979720
 15405,  16,  16384,  47052,  10,   7,   2, 111067704, 110948856, 109602328, 110763848, 111369464
 15406,  16,  16384,  47920,   7,   6,   1, 111786728, 111390400, 109395552, 111504832, 110504176
 15407,  16,  16384,  15036,   6,   6,   0, 110147864, 108819448, 110240544, 108610656, 110189320
 15408,  16,  16384,  13446,   6,   6,   0, 110497776, 109506488, 109700920, 108899648, 110235256
 15409,  16,  16384,   4705,   6,   7,   1, 110146208, 110008856, 104147536, 109229976, 111861256
 15410,  16,  16384,  38304,   7,  20,   3, 111426032, 111393320, 111342152, 111295280, 115610728
 15411,  16,  16384,  10888,  20,   9,   3, 114251688, 115586880, 115392080, 109445976, 114216368
 15412,  16,  16384,  12760,   9,  11,   2, 114031840, 114106200, 114091992, 114051120, 111341832
 15413,  16,  16384,  45802,  11,  11,   0, 111413232, 111631872, 111310720, 110285856, 110517496
 15414,  16,  16384,  43737,  11,  22,   3, 111654880, 109457712, 111749104, 111551600, 112839408
 15415,  16,  16384,   6838,  22,  22,   0, 111307104, 112342152, 112648560, 112256800, 112412144
 15416,  16,  16384,  49568,  22,  23,   1, 111096368, 111484248, 111224688, 112590600, 113824344
 15417,  16,  16384,  27511,  23,  20,   2, 113262192, 112060496, 113135416, 113340344, 115459784
 15418,  16,  16384,  24825,  20,  16,   3, 115570480, 115569336, 108540560, 115456464, 115382168
 15419,  16,  16384,  35713,  16,   2,   3, 114301224, 115497968, 115271624, 115180272, 111140648
 15420,  16,  16384,  48474,   2,   4,   2, 111071288, 110807992, 104720432, 110837176, 114146432
 15421,  16,  16384,  16626,   4,   4,   0, 113762304, 109414312, 111618376, 112584680, 114056184
 15422,  16,  16384,   5991,   4,   5,   1, 113262104, 113152576, 112617376, 114013304, 113896688
 15423,  16,  16384,  45396,   5,   4,   1, 114023104, 114271280, 113946064, 113782320, 111378952
 15424,  16,  16384,  41571,   4,   0,   2, 112663792, 113677904, 113920976, 112413016, 113646736
 15425,  16,  16384,   4736,   0,   1,   1, 113585152, 112719312, 113708312, 113625960, 114235848
 15426,  16,  16384,  49710,   1,   2,   2, 114348528, 113995232, 114004064, 114324216, 105881368
 15427,  16,  16384,  42608,   2,  14,   3, 108859232, 110687560, 110690496, 110730616, 110911664
 15428,  16,  16384,  40078,  14,  14,   0, 111094400, 109575512, 109810184, 111013304, 109729480
 15429,  16,  16384,   2130,  14,   8,   3, 110977024, 109308800, 110861632, 104304976, 113734432
 15430,  16,  16384,   1883,   8,   3,   3, 113927736, 113573448, 113694608, 113801776, 111575512
 15431,  16,  16384,  15153,   3,  22,   3, 111342856, 111574288, 110364320, 105508648, 111843264
 15432,  16,  16384,  31568,  22,  19,   2, 112051208, 112271424, 111312640, 112448992, 112093408
 15433,  16,  16384,   9092,  19,  19,   0, 113470592, 112827984, 113034336, 113126944, 112510504
 15434,  16,  16384,  35097,  19,  18,   1, 112473408, 113325368, 113441872, 113153144, 112568224
 15435,  16,  16384,  16940,  18,   6,   3, 112556040, 112507824, 112416848, 112468880, 110158936
 15436,  16,  16384,  11522,   6,   3,   3, 110342432, 103917488, 108639200, 107666032, 111284808
 15437,  16,  16384,    471,   3,   0,   2, 111494904, 110279376, 111438024, 111280768, 113864000
 15438,  16,  16384,  28137,   0,   8,   3, 114031064, 112536432, 113793616, 113870280, 112721720
 15439,  16,  16384,  30021,   8,  17,   3, 113832800, 107213408, 113769864, 112426064, 115983336
 15440,  16,  16384,  36641,  17,  17,   0, 116279384, 115937648, 115808440, 115904864, 115170840
 15441,  16,  16384,  34323,  17,  14,   2, 108824736, 115304672, 115771672, 115605584, 111167624
 15442,  16,  16384,  43543,  14,   6,   3, 111054888, 110888272, 110682064, 110984776, 109978040
 15443,  16,  16384,  31225,   6,   6,   0, 104462672, 107697080, 108829048, 109972896, 110024296
 15444,  16,  16384,   9453,   6,   3,   3, 110232840, 109992400, 109205448, 109559408, 110868336
 15445,  16,  16384,  17272,   3,   0,   2, 109730408, 104971600, 111283632, 111191224, 113664168
 15446,  16,  16384,  25670,   0,  23,   3, 112228064, 113740248, 113906328, 113562776, 113353352
 15447,  16,  16384,  26301,  23,  23,   0, 113297704, 112399480, 106624056, 111798360, 113226408
 15448,  16,  16384,   2315,  23,  19,   2, 113308296, 113260632, 113425072, 112070728, 109713720
 15449,  16,  16384,   2703,  19,  23,   2, 113524952, 113161968, 113220896, 113270048, 112405160
 15450,  16,  16384,   1009,  23,  17,   3, 112288104, 112003720, 113034088, 113307856, 116508728
 15451,  16,  16384,   7566,  17,  14,   2, 115973672, 115757264, 115637840, 115904024, 111018232
 15452,  16,  16384,  48445,  14,   5,   3, 111209032, 110792592, 110810336, 102409000, 114170064
 15453,  16,  16384,   9248,   5,   5,   0, 112957256, 113950096, 112642808, 114152376, 113950656
 15454,  16,  16384,   1068,   5,   3,   2, 114500128, 114095704, 113966280, 113768952, 111332960
 15455,  16,  16384,  48012,   3,   3,   0, 111087496, 111413224, 111507056, 111228632, 111738168
 15456,  16,  16384,  39442,   3,  13,   3, 111561816, 111830784, 111731784, 111479872, 114136912
 15457,  16,  16384,  34914,  13,   1,   3, 107973104, 113974920, 113081568, 113928664, 112861344
 15458,  16,  16384,  39790,   1,  14,   3, 113146320, 112614128, 114059136, 107592648, 111009296
 15459,  16,  16384,  30075,  14,  14,   0, 105169016, 108672992, 109796664, 110028008, 111111008
 15460,  16,  16384,  10991,  14,  13,   2, 110767928, 110880072, 110814400, 110888312, 113107248
 15461,  16,  16384,    789,  13,  14,   2, 114273992, 114016472, 114144728, 114171224, 109982888
 15462,  16,  16384,  32964,  14,  14,   0, 110207520, 110954176, 110936712, 111271024, 110961056
 15463,  16,  16384,  40327,  14,  15,   1, 110907304, 110770040, 110829248, 110751496, 111795360
 15464,  16,  16384,   6758,  15,  12,   2, 111827800, 111774928, 111647192, 105507776, 113706944
 15465,  16,  16384,   2542,  12,  14,   2, 113822976, 107394904, 112249072, 113702648, 111098432
 15466,  16,  16384,  47549,  14,  15,   1, 110890200, 110844832, 102040960, 110121016, 105897656
 15467,  16,  16384,   8523,  15,  15,   0, 111585504, 110524104, 111055680, 110476488, 111764976
 15468,  16,  16384,  17658,  15,  12,   2, 111686744, 110363936, 111592760, 110637792, 113983656
 15469,  16,  16384,  28173,  12,  16,   2, 112802472, 114036600, 113517448, 113513520, 115578752
 15470,  16,  16384,  47664,  16,  16,   0, 113036208, 115435528, 115461928, 114410104, 115629288
 15471,  16,  16384,  10038,  16,  17,   1, 114804080, 115409600, 115442400, 109493480, 111292392
 15472,  16,  16384,  18879,  17,  16,   1, 113592152, 114660488, 115704520, 116150560, 114422784
 15473,  16,  16384,   9039,  16,   1,   3, 115756016, 115494464, 114258032, 115520616, 114300960
 15474,  16,  16384,  30959,   1,   1,   0, 114188368, 113804712, 112889808, 107777624, 114077232
 15475,  16,  16384,  19785,   1,   1,   0, 113162152, 113881472, 114099152, 112780760, 114099776
 15476,  16,  16384,  10239,   1,   1,   0, 114044256, 113959888, 113634776, 114166368, 114018216
 15477,  16,  16384,  38405,   1,   1,   0, 112561928, 107714728, 113651800, 112858088, 114478568
 15478,  16,  16384,  16408,   1,   0,   1, 113077448, 113141768, 114138560, 113709864, 113718992
 15479,  16,  16384,   4922,   0,  22,   3, 113539280, 112733208, 113557176, 113671232, 111308880
 15480,  16,  16384,   3283,  22,  21,   2, 112685120, 106598408, 112603160, 112568392, 115926424
 15481,  16,  16384,  29455,  21,  21,   0, 114870200, 115977752, 115714168, 115866400, 116094048
 15482,  16,  16384,  27324,  21,   0,   3, 114860176, 114446840, 116045120, 115818880, 113604112
 15483,  16,  16384,  31381,   0,   1,   1, 112475280, 113486960, 112648000, 113613888, 113797784
 15484,  16,  16384,   4210,   1,   2,   2, 114052312, 113909400, 107784064, 113019968, 109792608
 15485,  16,  16384,  35591,   2,   2,   0, 110916384, 110780920, 110790088, 109674568, 109421936
 15486,  16,  16384,  17580,   2,   0,   2, 111293008, 110890240, 109760720, 104841752, 114094336
 15487,  16,  16384,  14210,   0,   1,   1, 113800264, 113645096, 113446288, 107428144, 114129544
 15488,  16,  16384,  45109,   1,   0,   1, 112750992, 114035008, 112491768, 114180664, 113538592
 15489,  16,  16384,  15250,   0,   1,   1, 112508696, 113862352, 113715408, 113789432, 113983336
 15490,  16,  16384,  31527,   1,   2,   2, 114136968, 113870016, 112733520, 114234256, 109689712
 15491,  16,  16384,  47749,   2,   2,   0, 105033208, 110723880, 110746592, 110686536, 110625272
 15492,  16,  16384,  43316,   2,  14,   3, 110945824, 109576400, 110768952, 110769488, 111010888
 15493,  16,  16384,  15596,  14,  14,   0, 105114512, 110961480, 109450056, 110649752, 110959912
 15494,  16,  16384,  31807,  14,  13,   2, 109882600, 111085880, 111017312, 110893256, 113015464
 15495,  16,  16384,  11920,  13,  12,   1, 113016632, 114449272, 112965936, 114086880, 113712568
 15496,  16,  16384,  44430,  12,  20,   3, 113760128, 113922272, 112510264, 112941400, 115708320
 15497,  16,  16384,  39012,  20,  21,   1, 109825104, 115148520, 115191080, 113880976, 116127552
 15498,  16,  16384,  43788,  21,  20,   1, 114833368, 115960032, 115842912, 115724104, 114457912
 15499,  16,  16384,  44138,  20,  21,   1, 115624424, 115260936, 109282952, 115306552, 116159240
 15500,  16,  16384,  23750,  21,  22,   2, 115164048, 115265600, 115672416, 115638224, 112123816
 15501,  16,  16384,  21029,  22,  23,   1, 112758408, 111250408, 112743208, 112297544, 113308640
 15502,  16,  16384,   7350,  23,  23,   0, 113471680, 111735936, 112230480, 113228088, 113553872
 15503,  16,  16384,  29609,  23,  18,   2, 112045016, 113225040, 113131264, 106189304, 112908776
 15504,  16,  16384,  13853,  18,  10,   3, 112550728, 111571680, 111683568, 111972352, 105196152
 15505,  16,  16384,  27151,  10,  20,   3, 110083648, 110872992, 110789608, 110717192, 115789904
 15506,  16,  16384,  47759,  20,  19,   2, 115815048, 115037736, 109722488, 114126936, 111984680
 15507,  16,  16384,  14942,  19,  12,   3, 113463920, 113143544, 112026560, 113008672, 112981208
 15508,  16,  16384,  26114,  12,  18,   3, 113841400, 113929824, 113698696, 113814200, 112559800
 15509,  16,  16384,   4069,  18,   2,   3, 111250472, 112436944, 109915680, 106707320, 110840808
 15510,  16,  16384,  19743,   2,   1,   2, 110913928, 110958168, 110867408, 110993816, 113072184
 15511,  16,  16384,  15529,   1,  21,   3, 114288248, 112624832, 113913096, 107764688, 115878176
 15512,  16,  16384,  13286,  21,  20,   1, 116054568, 115755584, 114538728, 115736544, 115831328
 15513,  16,  16384,   4119,  20,  21,   1, 115792040, 114417280, 115157208, 108074368, 109532208
 15514,  16,  16384,  31253,  21,  20,   1, 114071480, 115839712, 115831576, 115909912, 115354720
 15515,  16,  16384,   7644,  20,  23,   2, 114504824, 115378784, 115417824, 114102376, 110753208
 15516,  16,  16384,  23897,  23,  23,   0, 107775216, 112880040, 112853984, 112491248, 113388824
 15517,  16,  16384,  46672,  23,  11,   3, 113104072, 112105992, 113058720, 113206176, 111533432
 15518,  16,  16384,  16772,  11,  12,   3, 111782456, 110696128, 111535880, 110353392, 113540456
 15519,  16,  16384,    858,  12,  13,   1, 113641344, 113458240, 112485072, 112563528, 112945104
 15520,  16,  16384,  21034,  13,  13,   0, 114406144, 114105688, 113968320, 113998968, 112167768
 15521,  16,  16384,  11358,  13,  15,   2, 113198840, 114167056, 113755808, 114160536, 111800424
 15522,  16,  16384,  28801,  15,  15,   0, 111781344, 110366024, 111466648, 111383304, 110541416
 15523,  16,  16384,  42566,  15,  14,   1, 111313704, 111727568, 109115720, 111205872, 110741112
 15524,  16,  16384,  38604,  14,   4,   3, 111013200, 110785624, 110933880, 110952440, 113905704
 15525,  16,  16384,  19305,   4,   5,   1, 111520232, 113765544, 112502272, 112627328, 114075416
 15526,  16,  16384,  27439,   5,   0,   2, 112791056, 114081984, 112752944, 114385568, 114090928
 15527,  16,  16384,   5931,   0,   1,   1, 113665576, 113521112, 104765536, 113632776, 113929728
 15528,  16,  16384,  47060,   1,   1,   0, 112962744, 114126344, 113011504, 107806096, 113996096
 15529,  16,  16384,  23946,   1,  14,   3, 113967712, 113948696, 112664888, 114118872, 109775640
 15530,  16,  16384,  11158,  14,  21,   3, 111149832, 109947240, 110777888, 110648112, 115856152
 15531,  16,  16384,  23011,  21,  23,   2, 113762808, 115731848, 116045128, 115664272, 113543408
 15532,  16,  16384,  16000,  23,  17,   3, 112137720, 113234456, 106243440, 113284360, 115890160
 15533,  16,  16384,  22616,  17,  15,   2, 114899752, 114684704, 114707456, 115732088, 110327840
 15534,  16,  16384,  15415,  15,  17,   2, 111496616, 111586720, 110481160, 110551872, 115995240
 15535,  16,  16384,   7441,  17,  17,   0, 115722744, 109798240, 114485528, 114470824, 114281288
 15536,  16,  16384,   1705,  17,  17,   0, 116242592, 115767584, 115778816, 114780536, 116024976
 15537,  16,  16384,    646,  17,  17,   0, 116109504, 115697248, 115938464, 115900240, 116061464
 15538,  16,  16384,  34173,  17,   2,   3, 114556328, 108834728, 114571088, 115584624, 110966928
 15539,  16,  16384,  14050,   2,   2,   0, 109910720, 110402712, 109523360, 110713304, 110941880
 15540,  16,  16384,  46495,   2,   2,   0, 110979840, 109851160, 110752280, 110634024, 104991120
 15541,  16,  16384,  28617,   2,   5,   2, 109621960, 110425344, 110653016, 109572072, 113866568
 15542,  16,  16384,  23252,   5,   2,   2, 114318384, 114170824, 112624064, 112927000, 110951272
 15543,  16,  16384,  41726,   2,  21,   3, 110850976, 103203824, 110144696, 110570240, 116043568
 15544,  16,  16384,  24670,  21,  20,   1, 116330456, 115869288, 115994464, 115912208, 115641472
 15545,  16,  16384,  13220,  20,  21,   1, 115598504, 114208408, 115399232, 113068168, 113683448
 15546,  16,  16384,  16252,  21,  23,   2, 116138560, 115860400, 115970400, 116027744, 113339720
 15547,  16,  16384,  10981,  23,  18,   2, 112091368, 112960480, 113225104, 113200552, 112922728
 15548,  16,  16384,  21036,  18,  22,   2, 112233856, 112154480, 112515408, 112216312, 112632184
 15549,  16,  16384,  28891,  22,  18,   2, 111253104, 111213680, 106418592, 112453896, 112543320
 15550,  16,  16384,    593,  18,  19,   1, 111433712, 111207864, 112433160, 112484928, 112384696
 15551,  16,  16384,   9996,  19,  20,   2, 113221224, 113066872, 111814720, 107610352, 115518528
 15552,  16,  16384,  33806,  20,  23,   2, 115566008, 114156400, 115483528, 114446128, 113353144
 15553,  16,  16384,  33388,  23,  22,   1, 113239592, 112125816, 113469112, 112167008, 111680888
 15554,  16,  16384,   7369,  22,  18,   2, 112775848, 112436608, 112644952, 111186216, 111522328
 15555,  16,  16384,   7069,  18,  19,   1, 112574744, 112124344, 112346176, 106639928, 113403960
 15556,  16,  16384,  49404,  19,  21,   2, 112379856, 111955056, 113285336, 113349808, 116099856
 15557,  16,  16384,  25883,  21,  21,   0, 115650200, 113070744, 115782320, 115924144, 115813496
 15558,  16,  16384,  46533,  21,  20,   1, 116150312, 115921384, 115840832, 114749032, 114401392
 15559,  16,  16384,   6421,  20,  20,   0, 115126368, 114519424, 114192600, 114311408, 115762688
 15560,  16,  16384,  15194,  20,  20,   0, 115625040, 115533184, 115226408, 109535000, 115580736
 15561,  16,  16384,  23493,  20,  20,   0, 115325640, 115397824, 114107688, 114171240, 114526408
 15562,  16,  16384,  33578,  20,  20,   0, 114398112, 115517488, 115578984, 115328384, 115440744
 15563,  16,  16384,  22758,  20,  18,   2, 115608480, 110228976, 114627312, 115149784, 112441232
 15564,  16,  16384,  34751,  18,  18,   0, 112610952, 112210440, 106655064, 112426272, 111422328
 15565,  16,  16384,  32768,  18,  18,   0, 111736280, 112420104, 112108432, 110775648, 111251520
 15566,  16,  16384,  11412,  18,  23,   2, 112635232, 112671480, 112487224, 112469232, 112217008
 15567,  16,  16384,  33806,  23,   0,   3, 112016816, 113099968, 113084600, 112072552, 112451488
 15568,  16,  16384,   3334,   0,   0,   0, 113993456, 113602408, 112236408, 112345224, 107526224
 15569,  16,  16384,  23008,   0,   1,   1, 112662304, 113745672, 113661000, 113603568, 112927808
 15570,  16,  16384,   8572,   1,   0,   1, 114243872, 112820192, 113884560, 113982088, 112606112
 15571,  16,  16384,  48959,   0,   1,   1, 112823376, 113733528, 106414776, 113351688, 112936312
 15572,  16,  16384,  20713,   1,   3,   2, 113259504, 113698680, 113290448, 113180552, 111567784
 15573,  16,  16384,  47677,   3,   4,   2, 110350632, 111580256, 110228408, 110088920, 114089304
 15574,  16,  16384,   5982,   4,  13,   3, 113948936, 113611032, 113865912, 114058856, 114138328
 15575,  16,  16384,  14850,  13,  19,   3, 114258880, 112955704, 112823320, 114044928, 111813080
 15576,  16,  16384,   6264,  19,  19,   0, 113373528, 107610000, 113092584, 111851264, 112051120
 15577,  16,  16384,  19469,  19,  18,   1, 113645496, 113394928, 113426592, 112941936, 112342760
 15578,  16,  16384,  38094,  18,  19,   1, 112573336, 111054480, 106891200, 112465736, 111868008
 15579,  16,  16384,  23315,  19,  13,   3, 112146448, 113029600, 113181576, 113235944, 113299336
 15580,  16,  16384,  11407,  13,  13,   0, 114142560, 113476584, 113756888, 113940976, 114045136
 15581,  16,  16384,  44862,  13,   9,   3, 114202088, 114051736, 113741712, 112238720, 114252360
 15582,  16,  16384,  37073,   9,  10,   2, 114305680, 112918320, 114145792, 112804456, 110080696
 15583,  16,  16384,  17162,  10,  10,   0, 109962008, 110786448, 110876128, 110783000, 111193088
 15584,  16,  16384,  35663,  10,  11,   1, 111153616, 109927408, 110891592, 110941248, 105712928
 15585,  16,  16384,  16375,  11,   8,   2, 111437944, 110201752, 111130520, 110054008, 112716632
 15586,  16,  16384,  29641,   8,   8,   0, 113562400, 113667016, 113497672, 113440880, 112991408
 15587,  16,  16384,  21622,   8,   9,   1, 113847872, 105006096, 113663920, 113766752, 114265672
 15588,  16,  16384,  45075,   9,  18,   3, 114033184, 112959088, 113705632, 109958096, 112759640
 15589,  16,  16384,   6122,  18,  23,   2, 112614168, 112294472, 109854528, 112159744, 106413448
 15590,  16,  16384,   9355,  23,  19,   2, 112320216, 113260504, 113173696, 113513880, 113244048
 15591,  16,  16384,   5370,  19,  18,   1, 113419120, 107459776, 113019584, 113149744, 109770360
 15592,  16,  16384,  14644,  18,  23,   2, 112676936, 110192288, 108085088, 112458104, 113501232
 15593,  16,  16384,  26038,  23,  21,   2, 113076424, 113183064, 107434160, 113196432, 116120648
 15594,  16,  16384,  27261,  21,  20,   1, 116361288, 115668496, 110338096, 115898080, 115543280
 15595,  16,  16384,  13077,  20,   1,   3, 115248408, 114208848, 114392632, 115553728, 108063040
 15596,  16,  16384,  26226,   1,   0,   1, 114394600, 113933712, 113914008, 112498432, 113806768
 15597,  16,  16384,   3125,   0,   0,   0, 113729888, 113696576, 113670744, 106243392, 112364880
 15598,  16,  16384,  43614,   0,   1,   1, 113756328, 113568480, 113500272, 113392520, 112957064
 15599,  16,  16384,  31718,   1,   0,   1, 114059728, 112887472, 113919032, 113766080, 113624320
 15600,  16,  16384,   5512,   0,   1,   1, 102542120, 113687056, 113640080, 113406936, 114147648
 15601,  16,  16384,   2928,   1,   1,   0, 114027104, 113585232, 113001616, 112748520, 114390152
 15602,  16,  16384,  40118,   1,   0,   1, 113952728, 112912720, 113902008, 113916312, 113498840
 15603,  16,  16384,  31469,   0,   4,   2, 113624816, 113900568, 112198360, 112438072, 113916512
 15604,  16,  16384,  29607,   4,   4,   0, 114030240, 113579448, 109447040, 111508712, 112616768
 15605,  16,  16384,  39109,   4,   5,   1, 113921840, 113672472, 113607320, 113681784, 113197144
 15606,  16,  16384,   3254,   5,   3,   2, 114536896, 113067904, 114265144, 113871200, 110415320
 15607,  16,  16384,   4551,   3,   3,   0, 111513496, 111335328, 110286624, 111434776, 110468408
 15608,  16,  16384,  42220,   3,   4,   2, 105498920, 111614592, 109727608, 111392560, 114054368
 15609,  16,  16384,  20499,   4,   4,   0, 113887912, 107744936, 112611584, 112695048, 113809312
 15610,  16,  16384,   7485,   4,   2,   2, 113847272, 113567240, 113599552, 111128400, 109459384
 15611,  16,  16384,  34568,   2,   2,   0, 111126000, 110602440, 110783168, 110935160, 110817368
 15612,  16,  16384,  12932,   2,   3,   1, 110932400, 110697776, 110798584, 110696232, 111034256
 15613,  16,  16384,   3232,   3,   7,   3, 110451088, 111578600, 111242112, 111231736, 111622752
 15614,  16,  16384,  30426,   7,   7,   0, 111485784, 110428736, 110861944, 111110848, 111385928
 15615,  16,  16384,  19998,   7,   0,   3, 111634608, 111290976, 105423544, 110300624, 113483056
 15616,  16,  16384,  47923,   0,  10,   3, 113857880, 113495752, 112472336, 113576712, 111172304
 15617,  16,  16384,   5990,  10,  10,   0, 111219560, 110949608, 109680312, 110397376, 111195864
 15618,  16,  16384,   5271,  10,   7,   2, 109929704, 110789336, 110895456, 110800360, 110622920
 15619,  16,  16384,  35584,   7,   6,   1, 110263968, 111570208, 110311664, 111392480, 108992696
 15620,  16,  16384,  26904,   6,   6,   0, 110093160, 109982096, 107442112, 110174952, 110141408
 15621,  16,  16384,  37728,   6,   7,   1, 108727872, 110065952, 110016224, 110133072, 111552168
 15622,  16,  16384,  34864,   7,   6,   1, 111700000, 105531272, 111176752, 110378512, 108913696
 15623,  16,  16384,  24716,   6,   7,   1, 110457128, 110021896, 108956112, 110096200, 110672464
 15624,  16,  16384,  45649,   7,   6,   1, 111610640, 111512696, 111476016, 108358008, 109858384
 15625,  16,  16384,  31160,   6,  10,   2, 108214512, 110201984, 110069440, 108784368, 109660856
 15626,  16,  16384,  29352,  10,   3,   3, 111047056, 110889968, 110617928, 109980208, 111489392
 15627,  16,  16384,  20348,   3,   0,   2, 110165232, 111526144, 111386952, 111520256, 113544984
 15628,  16,  16384,  36781,   0,   3,   2, 113613656, 113120936, 112417208, 113347776, 111596128
 15629,  16,  16384,  12454,   3,  18,   3, 111249200, 111565000, 110270856, 111480224, 112482664
 15630,  16,  16384,  41382,  18,   8,   3, 112758600, 111157824, 109950776, 112474624, 113818808
 15631,  16,  16384,  21455,   8,   8,   0, 107568688, 113486424, 113590848, 111624384, 113955288
 15632,  16,  16384,  46172,   8,   9,   1, 114039616, 113546848, 113897320, 113554888, 114122048
 15633,  16,  16384,  48531,   9,   8,   1, 113470352, 114090608, 113939528, 114202768, 111591880
 15634,  16,  16384,  32672,   8,   1,   3, 113887352, 113800880, 113854168, 113536920, 114113952
 15635,  16,  16384,   6299,   1,   1,   0, 114166752, 107988808, 113770816, 113620032, 114115504
 15636,  16,  16384,  12878,   1,  19,   3, 113879128, 112706736, 112857984, 113125536, 111979160
 15637,  16,  16384,  33237,  19,   6,   3, 111535568, 111252200, 113153712, 113335592, 110122128
 15638,  16,  16384,  26993,   6,  17,   3, 109787912, 109221616, 110111344, 110018960, 116026808
 15639,  16,  16384,  19898,  17,  17,   0, 114733616, 115784248, 114247048, 115739368, 115840968
 15640,  16,  16384,  30295,  17,  11,   3, 114902728, 115657672, 115946200, 115744168, 111659400
 15641,  16,  16384,  38689,  11,  10,   1, 111646080, 111466304, 104358064, 110271624, 110876840
 15642,  16,  16384,   6098,  10,  22,   3, 109929464, 109872816, 110749632, 110607072, 112522064
 15643,  16,  16384,   8495,  22,  22,   0, 112636856, 112497864, 111327928, 112622832, 112655376
 15644,  16,  16384,  32782,  22,  22,   0, 112410680, 112707288, 105509320, 111105488, 112544184
 15645,  16,  16384,   2498,  22,  19,   2, 112654064, 112217072, 112343784, 112541768, 113350800
 15646,  16,  16384,   3443,  19,  23,   2, 110659376, 112513880, 113471448, 113452200, 113443088
 15647,  16,  16384,  24833,  23,  23,   0, 113471880, 111758344, 113338208, 113115224, 113606752
 15648,  16,  16384,  30117,  23,  22,   1, 113264728, 113110336, 110773840, 106375304, 112737392
 15649,  16,  16384,  28899,  22,  22,   0, 111242848, 104926000, 111438976, 112508504, 112817192
 15650,  16,  16384,  18152,  22,  19,   2, 112431560, 112504480, 111076224, 112210992, 112195768
 15651,  16,  16384,  13982,  19,  19,   0, 113586952, 113524144, 113311208, 113325944, 112149176
 15652,  16,  16384,  42855,  19,   7,   3, 113060808, 108691760, 111840328, 113000368, 111260216
 15653,  16,  16384,  33641,   7,   7,   0, 110358424, 105303184, 111326576, 111574464, 111347552
 15654,  16,  16384,  49298,   7,   7,   0, 111167064, 110596448, 111587344, 111610440, 111799184
 15655,  16,  16384,   5336,   7,  11,   2, 110273408, 110894880, 110749312, 105254008, 111691672
 15656,  16,  16384,  20534,  11,  23,   3, 111656920, 111328728, 111589288, 111497520, 113600728
 15657,  16,  16384,  20497,  23,  22,   1, 113436120, 113587968, 111925392, 107491960, 112813040
 15658,  16,  16384,  37224,  22,  22,   0, 111221704, 111274232, 112330424, 105337776, 112527408
 15659,  16,  16384,  12411,  22,  23,   1, 112661096, 112550088, 111225152, 112541312, 113075440
 15660,  16,  16384,  49016,  23,   6,   3, 107821456, 111596408, 110501216, 113208464, 103228176
 15661,  16,  16384,  41030,   6,   7,   1, 110120032, 109917944, 109810640, 108894864, 110128904
 15662,  16,  16384,  20465,   7,   9,   2, 111674888, 110413584, 110414304, 105203600, 114263016
 15663,  16,  16384,   7763,   9,   8,   1, 114222152, 113912464, 112932120, 114265944, 113422160
 15664,  16,  16384,  20592,   8,   8,   0, 113296408, 113790048, 113773456, 113669400, 114093864
 15665,  16,  16384,  30068,   8,   8,   0, 113732688, 107660544, 112572480, 113360616, 113685640
 15666,  16,  16384,  23107,   8,   8,   0, 113633088, 113754912, 112398312, 113520112, 113627688
 15667,  16,  16384,  22706,   8,   8,   0, 113673640, 113835088, 113958304, 113714392, 111197992
 15668,  16,  16384,  34818,   8,   6,   2, 110973960, 113769104, 113488504, 113584696, 110008384
 15669,  16,  16384,   3569,   6,   6,   0, 109043296, 110099136, 109920320, 108877624, 110210736
 15670,  16,  16384,  44380,   6,   6,   0, 109717232, 103352128, 110202672, 108785624, 110163592
 15671,  16,  16384,  27725,   6,   7,   1, 110344872, 110094216, 109752744, 109004848, 111733832
 15672,  16,  16384,  16695,   7,   6,   1, 111522288, 111534560, 111370720, 111458704, 109020336
 15673,  16,  16384,  39915,   6,   6,   0, 109905096, 110000304, 110102632, 109996784, 109228784
 15674,  16,  16384,   8730,   6,   6,   0, 110259640, 109950768, 108847280, 109926408, 110089032
 15675,  16,  16384,  10166,   6,   6,   0, 109048048, 108801320, 104221616, 110099592, 110243152
 15676,  16,  16384,  47242,   6,   6,   0, 109981432, 110054568, 108706040, 109906192, 109915656
 15677,  16,  16384,  38164,   6,   7,   1, 108917920, 109918384, 109115592, 109164952, 111379512
 15678,  16,  16384,  22260,   7,   6,   1, 110586528, 105156304, 110388448, 111415232, 110126696
 15679,  16,  16384,  49702,   6,   7,   1, 110172512, 110089424, 108910552, 110006512, 110329104
 15680,  16,  16384,  10044,   7,   7,   0, 111557424, 111402840, 110885024, 105567736, 110328832
 15681,  16,  16384,  29436,   7,   7,   0, 111424168, 111408560, 111514712, 111625224, 111794824
 15682,  16,  16384,  29143,   7,   6,   1, 111645280, 109578304, 110919768, 111427112, 109939656
 15683,  16,  16384,  14237,   6,   8,   2, 109074176, 109959640, 110034224, 110134608, 113799944
 15684,  16,  16384,   8089,   8,   9,   1, 111792016, 112745128, 113458720, 113633920, 112652264
 15685,  16,  16384,   3073,   9,   9,   0, 112877464, 113820320, 113214776, 113945680, 114258240
 15686,  16,  16384,   3749,   9,   7,   2, 113433240, 114283936, 114134896, 114284448, 111330192
 15687,  16,  16384,   2056,   7,   7,   0, 109122736, 111249424, 110160304, 111388544, 108173976
 15688,  16,  16384,  16696,   7,   7,   0, 109141784, 109832744, 111119624, 111556848, 111468344
 15689,  16,  16384,  40586,   7,  10,   2, 111796904, 111236688, 111504152, 109324504, 111022984
 15690,  16,  16384,  25692,  10,  14,   3, 111107064, 110859112, 110595160, 110823800, 105305712
 15691,  16,  16384,  43414,  14,   8,   3, 110771216, 109656664, 110848600, 109387848, 113847112
 15692,  16,  16384,  27627,   8,   9,   1, 113948424, 113495536, 112534496, 113582984, 113167176
 15693,  16,  16384,  37102,   9,   9,   0, 114101120, 114298000, 114133536, 114120424, 114278792
 15694,  16,  16384,  30651,   9,  15,   3, 108274184, 112918456, 112967184, 114209504, 110997048
 15695,  16,  16384,  32808,  15,  13,   2, 110167032, 111297672, 111410952, 111596200, 114191816
 15696,  16,  16384,  10655,  13,  13,   0, 114203144, 108030232, 112920320, 114196640, 113453104
 15697,  16,  16384,   1645,  13,  17,   2, 114495088, 114115944, 111635864, 113797784, 115840120
 15698,  16,  16384,  11938,  17,  16,   1, 116086616, 116031480, 114444872, 116114616, 115544072
 15699,  16,  16384,  14623,  16,  12,   2, 115483336, 115491816, 115506424, 115251928, 113860464
 15700,  16,  16384,   1639,  12,  12,   0, 113871008, 105305536, 112514680, 113770176, 112933456
 15701,  16,  16384,  12306,  12,  21,   3, 113731624, 113581992, 113342672, 113615424, 116060088
 15702,  16,  16384,   6179,  21,  21,   0, 115897912, 114750752, 115958352, 115837536, 111809864
 15703,  16,  16384,  36969,  21,  22,   2, 114301096, 114478232, 115920792, 114440232, 112599232
 15704,  16,  16384,   3596,  22,  19,   2, 111361632, 111176768, 112476464, 112504672, 113450936
 15705,  16,  16384,   6643,  19,   7,   3, 113444792, 112036368, 113374920, 113130512, 110498744
 15706,  16,  16384,   8282,   7,   7,   0, 105614640, 111383032, 111171624, 110217704, 111655544
 15707,  16,  16384,  28456,   7,   7,   0, 111786584, 111433696, 111381704, 111375352, 109625920
 15708,  16,  16384,  32634,   7,   6,   1, 111485088, 111240512, 110014208, 111554248, 109091176
 15709,  16,  16384,  18860,   6,  15,   3, 110172752, 110202152, 109932304, 110470712, 111723232
 15710,  16,  16384,  42270,  15,  14,   1, 106220408, 110144400, 111407400, 111660224, 111045032
 15711,  16,  16384,  29214,  14,  14,   0, 110843480, 104769224, 111110704, 110855960, 110005016
 15712,  16,  16384,   5625,  14,  14,   0, 110790720, 110708848, 109571088, 110913992, 109079216
 15713,  16,  16384,  23921,  14,   5,   3, 111014400, 110972120, 110893056, 110906856, 112254536
 15714,  16,  16384,  14729,   5,   5,   0, 114251240, 113727064, 113608304, 113873976, 111771584
 15715,  16,  16384,  18992,   5,   4,   1, 114183152, 112925440, 113998104, 113870448, 113536776
 15716,  16,  16384,  19957,   4,   4,   0, 113871520, 113751256, 113545048, 106479592, 113493784
 15717,  16,  16384,  26677,   4,   4,   0, 112908856, 113669880, 113762384, 112410696, 114029600
 15718,  16,  16384,  36493,   4,   9,   3, 112913832, 113649240, 113805456, 113785808, 114120968
 15719,  16,  16384,  31657,   9,  15,   3, 114671232, 112796408, 107925712, 112980664, 110586832
 15720,  16,  16384,  19944,  15,  12,   2, 111974304, 110434832, 111761176, 111612088, 113748168
 15721,  16,  16384,   9089,  12,  12,   0, 113433640, 107682968, 112324616, 113672848, 112433984
 15722,  16,  16384,  22684,  12,  12,   0, 113785824, 112902016, 112849008, 113772104, 113922128
 15723,  16,  16384,  48461,  12,  19,   3, 113844384, 113937640, 113335816, 113502192, 113316800
 15724,  16,  16384,  47350,  19,   7,   3, 112221904, 111834400, 108901432, 110791016, 111388432
 15725,  16,  16384,  19171,   7,   6,   1, 111415888, 111584248, 111254840, 111294720, 108952896
 15726,  16,  16384,  30598,   6,   6,   0, 109319576, 110271416, 102804936, 110082016, 109067200
 15727,  16,  16384,  12267,   6,   9,   2, 110092040, 109925088, 110089904, 110030280, 114384344
 15728,  16,  16384,  11991,   9,  19,   3, 113208024, 114165696, 113894040, 107942816, 112088928
 15729,  16,  16384,  47455,  19,  20,   2, 113567208, 107324104, 113171320, 113260032, 115580224
 15730,  16,  16384,  10421,  20,  21,   1, 115746248, 115216992, 115248720, 112813672, 114496152
 15731,  16,  16384,   5475,  21,  20,   1, 116108544, 110347680, 115821440, 115788648, 115570560
 15732,  16,  16384,   6409,  20,  18,   2, 115401264, 114259280, 115321664, 115435032, 111315632
 15733,  16,  16384,  33444,  18,  18,   0, 112759576, 112376560, 109314304, 107374984, 111388656
 15734,  16,  16384,  33039,  18,  11,   3, 113011904, 112512664, 112148360, 112476200, 110750416
 15735,  16,  16384,  35548,  11,  11,   0, 111610984, 111547224, 110535832, 105487224, 111385696
 15736,  16,  16384,  35475,  11,  12,   3, 111544592, 110221544, 111432424, 111338496, 113729320
 15737,  16,  16384,  32203,  12,  12,   0, 113456480, 113784040, 104960256, 113392312, 112837760
 15738,  16,  16384,  35747,  12,  17,   2, 112421576, 112417048, 113508920, 113627384, 116237984
 15739,  16,  16384,  36930,  17,  17,   0, 116187520, 114842080, 115751736, 114437384, 114531568
 15740,  16,  16384,  23818,  17,  15,   2, 116227808, 112021672, 113748480, 115648640, 103544736
 15741,  16,  16384,  38503,  15,  13,   2, 111529232, 111544232, 111488328, 111256384, 108279800
 15742,  16,  16384,  15131,  13,  16,   2, 114681576, 112808552, 114254352, 114156464, 114642872
 15743,  16,  16384,   9383,  16,  14,   2, 115357144, 115309656, 115328720, 115318224, 110945008
 15744,  16,  16384,  17752,  14,   7,   3, 111202056, 110727544, 110979192, 109731880, 111667768
 15745,  16,  16384,  33978,   7,   6,   1, 111684704, 110492736, 109753840, 110446608, 108912528
 15746,  16,  16384,  45790,   6,   9,   2, 110221880, 109998792, 109850424, 109692024, 112861024
 15747,  16,  16384,  47499,   9,   8,   1, 114230408, 114465320, 112825344, 108193160, 113670336
 15748,  16,  16384,  12000,   8,  10,   2, 113849504, 112583432, 113612880, 113751256, 110945672
 15749,  16,  16384,  36568,  10,  11,   1, 105415000, 108522176, 110972160, 110730192, 111523264
 15750,  16,  16384,  11425,  11,  10,   1, 111455264, 111555384, 111278240, 110422976, 111205672
 15751,  16,  16384,   5880,  10,   8,   2, 110803128, 110878304, 110904400, 103243904, 113751576
 15752,  16,  16384,  37387,   8,   7,   2, 105469000, 113688632, 113800888, 113702488, 111305800
 15753,  16,  16384,    863,   7,  16,   3, 110529760, 104476840, 111162768, 111300440, 114414080
 15754,  16,  16384,  48363,  16,  16,   0, 115497600, 115691496, 114672800, 108771400, 115576528
 15755,  16,  16384,  33645,  16,  16,   0, 115621680, 114197656, 115545056, 115287272, 115294624
 15756,  16,  16384,  47571,  16,  16,   0, 115850416, 114484736, 115305136, 115365592, 115499568
 15757,  16,  16384,  22644,  16,  12,   2, 109464992, 115042992, 114925016, 114480520, 113649064
 15758,  16,  16384,    535,  12,  12,   0, 112806088, 113864472, 113737752, 112564776, 113972608
 15759,  16,  16384,   7214,  12,   1,   3, 113585672, 112577976, 113565672, 112673352, 113941768
 15760,  16,  16384,   9937,   1,   1,   0, 113880936, 113912064, 114018096, 113870064, 112907104
 15761,  16,  16384,  23653,   1,   0,   1, 112930680, 112748464, 112857432, 113930376, 113688136
 15762,  16,  16384,  44928,   0,  13,   3, 112330720, 113479416, 113083104, 112864240, 112921720
 15763,  16,  16384,  45464,  13,  13,   0, 114603816, 106364400, 113806528, 113784384, 114181624
 15764,  16,  16384,  34452,  13,  16,   2, 114146768, 112993664, 114083112, 113878336, 115584936
 15765,  16,  16384,  31324,  16,  17,   1, 115363064, 115329760, 114013496, 114241440, 116298216
 15766,  16,  16384,  40932,  17,  17,   0, 110189456, 115875376, 114576600, 116097432, 116160464
 15767,  16,  16384,  32537,  17,  10,   3, 116060800, 114444504, 114446600, 115977624, 111138264
 15768,  16,  16384,  47420,  10,  10,   0, 111387376, 109961120, 110883960, 110634056, 105573720
 15769,  16,  16384,   4818,  10,   7,   2, 110836096, 109850064, 109261576, 110647696, 111474232
 15770,  16,  16384,   3433,   7,   6,   1, 110146728, 111336400, 104487256, 111419576, 110262840
 15771,  16,  16384,  44357,   6,   6,   0, 110216760, 110163432, 108691832, 109884952, 108948808
 15772,  16,  16384,  33555,   6,   8,   2, 110168040, 108815960, 110222520, 110049112, 113708520
 15773,  16,  16384,   9311,   8,  11,   2, 113836464, 113774344, 112514816, 113506760, 111592912
 15774,  16,  16384,  49761,  11,  11,   0, 104724584, 111530240, 111382624, 111634624, 110467696
 15775,  16,  16384,  10479,  11,   8,   2, 111696376, 111561104, 111507784, 111643112, 112567264
 15776,  16,  16384,  37443,   8,   7,   2, 113951368, 112363864, 113513688, 113685120, 111405840
 15777,  16,  16384,   1573,   7,   6,   1, 110133128, 105438224, 111398232, 111300032, 110393504
 15778,  16,  16384,  45520,   6,   3,   3, 109221832, 109996056, 110092840, 110283952, 111461696
 15779,  16,  16384,  43708,   3,  21,   3, 110322320, 111476248, 110073248, 105248192, 115946800
 15780,  16,  16384,   2501,  21,  20,   1, 116033888, 115728024, 115934816, 115669896, 109616856
 15781,  16,  16384,  34438,  20,  23,   2, 115350216, 115219176, 112846408, 115144280, 113442824
 15782,  16,  16384,  34900,  23,  21,   2, 113592368, 113485496, 113314800, 112143080, 114639632
 15783,  16,  16384,  27117,  21,   1,   3, 116238728, 114603552, 116094792, 108512912, 114089720
 15784,  16,  16384,  20824,   1,  23,   3, 113018832, 114117768, 107828224, 113845904, 112212480
 15785,  16,  16384,  23325,  23,  23,   0, 113656464, 107627904, 111846640, 113164624, 111907056
 15786,  16,  16384,  14245,  23,  20,   2, 113219848, 112018808, 113155232, 113217048, 115422208
 15787,  16,  16384,   3799,  20,  21,   1, 115658608, 115249904, 115421184, 115267528, 115524832
 15788,  16,  16384,  25908,  21,  21,   0, 115308872, 116122584, 110614544, 111728184, 115675216
 15789,  16,  16384,  25845,  21,  18,   2, 114783176, 115491320, 115794120, 115906928, 104663144
 15790,  16,  16384,  33457,  18,  18,   0, 112570056, 111356776, 112752104, 112709832, 112601792
 15791,  16,  16384,  49486,  18,  19,   1, 112447448, 111260784, 112278544, 112262248, 113416152
 15792,  16,  16384,  35822,  19,  20,   2, 113201824, 112292176, 111871640, 113280048, 114318008
 15793,  16,  16384,  17968,  20,  21,   1, 115413344, 114154528, 115645896, 115394320, 115966704
 15794,  16,  16384,  25639,  21,  12,   3, 116096296, 115426224, 115898240, 115643000, 112707048
 15795,  16,  16384,  15782,  12,   8,   3, 113859704, 112532664, 113423352, 107520432, 113662704
 15796,  16,  16384,  47575,   8,  11,   2, 113751864, 113421152, 113497088, 113448720, 111210072
 15797,  16,  16384,  27330,  11,   2,   3, 110794864, 111324720, 111382384, 110203952, 110764960
 15798,  16,  16384,    833,   2,   2,   0, 111085432, 110944872, 110331912, 109858328, 111110576
 15799,  16,  16384,  36700,   2,   2,   0, 109753776, 104610808, 110623800, 109382176, 110725584
 15800,  16,  16384,  18764,   2,   3,   1, 109868224, 110847144, 110750320, 110870336, 111271512
 15801,  16,  16384,  25504,   3,  12,   3, 111660312, 110185712, 111458240, 111155800, 111685032
 15802,  16,  16384,  43966,  12,  13,   1, 112769424, 113478912, 113646392, 113757056, 113310216
 15803,  16,  16384,   1626,  13,  12,   1, 114375912, 114140176, 114092200, 114356992, 112681632
 15804,  16,  16384,  17319,  12,  16,   2, 113708272, 111348792, 112621784, 113617240, 115452584
 15805,  16,  16384,  17016,  16,   6,   3, 115650888, 115555840, 115204560, 115248064, 110085064
 15806,  16,  16384,  11573,   6,   6,   0, 103014576, 110292096, 109000096, 110099112, 109014512
 15807,  16,  16384,  27988,   6,   7,   1, 110334904, 109696648, 110009336, 110338648, 104198544
 15808,  16,  16384,  20134,   7,   9,   2, 111870712, 111366912, 111287184, 111480272, 114285000
 15809,  16,  16384,  10101,   9,   8,   1, 114135296, 112769424, 108150928, 113426368, 114037928
 15810,  16,  16384,  42255,   8,  14,   3, 112923360, 113849760, 113786256, 113724432, 109487144
 15811,  16,  16384,  18154,  14,  10,   3, 110962376, 109914248, 110827432, 110935840, 111043144
 15812,  16,  16384,   3937,  10,  10,   0, 110969384, 110822304, 104545616, 109904576, 110907120
 15813,  16,  16384,    561,  10,  10,   0, 111060504, 110781392, 108505768, 110930264, 109877616
 15814,  16,  16384,  10504,  10,   7,   2, 111055952, 110951552, 110934176, 111020952, 104641568
 15815,  16,  16384,  38687,   7,   8,   2, 111565800, 111275992, 111399216, 111230880, 113732872
 15816,  16,  16384,  27721,   8,  10,   2, 111121688, 105325768, 113557440, 113748088, 111092048
 15817,  16,  16384,  19495,  10,  10,   0, 110969168, 110879048, 103735688, 110765120, 111079832
 15818,  16,  16384,  31459,  10,  10,   0, 111142744, 109004672, 110989336, 109929376, 111076840
 15819,  16,  16384,   6511,  10,  11,   1, 110581288, 110455568, 110750392, 110754584, 111310192
 15820,  16,  16384,  41596,  11,   7,   2, 111476744, 111290512, 111416968, 111229120, 111650560
 15821,  16,  16384,  42770,   7,   7,   0, 110498048, 111258160, 110341288, 110038760, 111131848
 15822,  16,  16384,  46953,   7,   0,   3, 111783160, 111603824, 111138552, 111484944, 107675856
 15823,  16,  16384,  17227,   0,   0,   0, 111287320, 113665720, 113540200, 113482736, 112777272
 15824,  16,  16384,    467,   0,  13,   3, 113763288, 112558656, 113713296, 113722080, 114202424
 15825,  16,  16384,   1461,  13,  12,   1, 114307280, 113049984, 114267256, 114057968, 113953088
 15826,  16,  16384,   3672,  12,  12,   0, 113952624, 113548712, 107538552, 113353960, 112500560
 15827,  16,  16384,  41043,  12,   4,   3, 113845480, 113437000, 112326568, 113562904, 113968528
 15828,  16,  16384,  37994,   4,   2,   2, 112629560, 113645352, 113715024, 113795584, 109719256
 15829,  16,  16384,  46503,   2,   2,   0, 110931704, 110537928, 110496760, 110530888, 111048912
 15830,  16,  16384,  43403,   2,   1,   2, 109549408, 110872592, 110844064, 111219296, 114175256
 15831,  16,  16384,   4932,   1,   1,   0, 113894800, 112562144, 113668776, 114222536, 113972096
 15832,  16,  16384,  39080,   1,   1,   0, 108013104, 114152952, 114025608, 113880512, 113997096
 15833,  16,  16384,  37150,   1,   0,   1, 111605456, 113907152, 113856720, 112707248, 112625768
 15834,  16,  16384,  35173,   0,   1,   1, 113719592, 113568584, 113706792, 113384784, 112629128
 15835,  16,  16384,  36082,   1,   1,   0, 114268776, 113852112, 111526416, 113982696, 112567624
 15836,  16,  16384,  41509,   1,  20,   3, 114280024, 113793912, 113884800, 113873808, 115591048
 15837,  16,  16384,  37737,  20,  21,   1, 114548464, 115037816, 115562480, 114299968, 115802792
 15838,  16,  16384,  15929,  21,  22,   2, 116287456, 115818848, 115701696, 115810432, 112690608
 15839,  16,  16384,  19938,  22,  23,   1, 112439544, 112154176, 111115112, 110054200, 113282328
 15840,  16,  16384,   8269,  23,  23,   0, 113410512, 113083776, 111992608, 113401752, 113479712
 15841,  16,  16384,  47956,  23,  10,   3, 112087632, 112069088, 107604136, 112011368, 109952672
 15842,  16,  16384,  20093,  10,  11,   1, 111003800, 109974352, 110952304, 110865544, 111442760
 15843,  16,  16384,  33282,  11,  10,   1, 111671976, 111533360, 110090656, 110407856, 108622736
 15844,  16,  16384,  48714,  10,  11,   1, 106098672, 109986896, 110249872, 110343280, 110411648
 15845,  16,  16384,  20728,  11,   8,   2, 111555056, 111463128, 111800096, 111335912, 113910056
 15846,  16,  16384,   4920,   8,   8,   0, 112608240, 113644232, 113588560, 113765344, 113810928
 15847,  16,  16384,  34317,   8,   8,   0, 113651992, 112595448, 113057960, 107171096, 113577448
 15848,  16,  16384,  31294,   8,  14,   3, 113746168, 113620664, 112688192, 113666104, 109738264
 15849,  16,  16384,  25904,  14,  15,   1, 111232368, 110864256, 110870872, 111035560, 111513744
 15850,  16,  16384,  47637,  15,  16,   2, 110359024, 111233400, 110300464, 110412304, 115555600
 15851,  16,  16384,  39623,  16,  14,   2, 115278424, 115210304, 113520568, 114845752, 111113320
 15852,  16,  16384,  12162,  14,  14,   0, 111015232, 111086680, 105360928, 109379896, 110311448
 15853,  16,  16384,  48175,  14,  15,   1, 109110864, 110847232, 110880816, 109838920, 105440920
 15854,  16,  16384,  20133,  15,  14,   1, 111842416, 111642816, 110393376, 111643624, 103933344
 15855,  16,  16384,  20728,  14,   1,   3, 110963240, 109656368, 109920712, 110716864, 113922208
 15856,  16,  16384,  16868,   1,   0,   1, 112845896, 113810432, 113960584, 113754640, 113982976
 15857,  16,  16384,  28577,   0,   2,   2, 113978240, 113587336, 113484800, 112284488, 111072488
 15858,  16,  16384,  10081,   2,   1,   2, 110819112, 110622232, 110608880, 109469456, 114122304
 15859,  16,  16384,   1166,   1,   0,   1, 107879664, 114020720, 113985568, 113768208, 113885560
 15860,  16,  16384,   9514,   0,   1,   1, 112552856, 113585536, 113769584, 113579776, 113891560
 15861,  16,  16384,  20357,   1,   0,   1, 113042928, 113807152, 114038160, 107597760, 113926864
 15862,  16,  16384,  39326,   0,  13,   3, 113648400, 113739008, 113435032, 112443856, 113095032
 15863,  16,  16384,  35212,  13,  12,   1, 114297440, 114413952, 112688544, 113677656, 113449976
 15864,  16,  16384,  36186,  12,  14,   2, 113602432, 113326592, 113386992, 113326744, 111108912
 15865,  16,  16384,  42880,  14,  15,   1, 111323768, 110934616, 110976648, 111064000, 111501464
 15866,  16,  16384,  48127,  15,  12,   2, 111609392, 110264808, 110487680, 111207840, 112651800
 15867,  16,  16384,  15564,  12,  16,   2, 112542160, 113890096, 113536264, 106016904, 115729776
 15868,  16,  16384,  16972,  16,  17,   1, 115658400, 115255840, 109321936, 115429640, 114670760
 15869,  16,  16384,   9525,  17,  13,   2, 116226584, 110048320, 114474176, 115515056, 114071408
 15870,  16,  16384,  27945,  13,  13,   0, 114208784, 114168568, 114010032, 113112128, 114514936
 15871,  16,  16384,  16956,  13,  13,   0, 113822864, 112896616, 107941320, 114093608, 112013264
 15872,  16,  16384,  44956,  13,  17,   2, 114359232, 114165848, 114243120, 114316952, 113625480
 15873,  16,  16384,  45446,  17,  17,   0, 116266960, 115860432, 115712984, 116006088, 116055112
 15874,  16,  16384,  22872,  17,  16,   1, 114593472, 110062104, 115790224, 115930064, 115558944
 15875,  16,  16384,   9533,  16,  17,   1, 115356488, 109370832, 115375928, 115006512, 115972328
 15876,  16,  16384,  26205,  17,  15,   2, 114834448, 115875184, 114620904, 116002992, 111397000
 15877,  16,  16384,  35434,  15,  12,   2, 111591176, 111647520, 110281536, 111287008, 112803536
 15878,  16,  16384,   9519,  12,  14,   2, 113892088, 112620048, 113808920, 114004240, 111038864
 15879,  16,  16384,  47000,  14,  10,   3, 109816304, 104766584, 110818184, 110031112, 105795808
 15880,  16,  16384,  10036,  10,  11,   1, 109883264, 110741736, 110932224, 110835576, 111613472
 15881,  16,  16384,  31440,  11,  10,   1, 111718960, 111083968, 111417136, 111704368, 109875688
 15882,  16,  16384,  39965,  10,  11,   1, 109693192, 104941992, 109776024, 110813976, 110678336
 15883,  16,  16384,  32830,  11,  20,   3, 111718528, 111485968, 111505032, 111492632, 116004128
 15884,  16,  16384,  30704,  20,  14,   3, 114414768, 114968472, 115232816, 115296968, 110988896
 15885,  16,  16384,  13797,  14,  12,   2, 111111544, 110830376, 104756032, 110846728, 107821440
 15886,  16,  16384,  27391,  12,   8,   3, 113859168, 113552912, 113384856, 113855936, 113890488
 15887,  16,  16384,  45067,   8,   8,   0, 113901904, 113558320, 104998672, 113310120, 112333904
 15888,  16,  16384,  15856,   8,   8,   0, 113771864, 112477504, 113695744, 113788216, 113882880
 15889,  16,  16384,  12576,   8,  18,   3, 113910640, 113466600, 113722248, 113677936, 111507312
 15890,  16,  16384,   3108,  18,  22,   2, 112729912, 112613056, 111210344, 112426088, 112468872
 15891,  16,  16384,  12724,  22,  20,   2, 111385512, 112435128, 112468912, 112463600, 115497456
 15892,  16,  16384,   3062,  20,  21,   1, 115558248, 114188792, 108047568, 115250336, 116161440
 15893,  16,  16384,  16051,  21,  23,   2, 116094920, 113499944, 115672184, 116117888, 107812160
 15894,  16,  16384,  21105,  23,   1,   3, 110767712, 113431528, 113047120, 113114800, 114133608
 15895,  16,  16384,   2442,   1,   7,   3, 112941784, 113949752, 114102928, 107012328, 111496392
 15896,  16,  16384,  37909,   7,   6,   1, 110319120, 111414888, 101932264, 111406680, 107437064
 15897,  16,  16384,  26944,   6,  13,   3, 110475224, 109585192, 109877016, 104253160, 113140168
 15898,  16,  16384,   4763,  13,  12,   1, 113858224, 114297416, 113967240, 113927648, 113683544
 15899,  16,  16384,  17500,  12,  13,   1, 113672624, 112427328, 113286232, 112793752, 113057576
 15900,  16,  16384,  25957,  13,   2,   3, 113069976, 112946720, 114099616, 114043360, 110560088
 15901,  16,  16384,  18414,   2,   3,   1, 111024800, 103016576, 109877152, 109270792, 111281400
 15902,  16,  16384,  39167,   3,   1,   2, 111813992, 111239896, 111446704, 111529728, 113984240
 15903,  16,  16384,  15773,   1,   0,   1, 113978328, 113884096, 113847496, 112867792, 113895264
 15904,  16,  16384,   4945,   0,  14,   3, 113886944, 113344128, 112778368, 113684032, 110842392
 15905,  16,  16384,  26000,  14,  14,   0, 110800800, 110948728, 109840576, 110842104, 109921400
 15906,  16,  16384,  31417,  14,  11,   3, 105152352, 109559088, 110984648, 110862120, 111838632
 15907,  16,  16384,  33511,  11,  11,   0, 111680136, 111489936, 111597784, 111189352, 104571248
 15908,  16,  16384,    208,  11,   8,   2, 110487264, 111265304, 111550104, 109126832, 113744248
 15909,  16,  16384,  11432,   8,   8,   0, 112828800, 113403264, 112132736, 107130520, 113884192
 15910,  16,  16384,  16194,   8,  20,   3, 114037488, 113545480, 112949184, 113312536, 115633848
 15911,  16,  16384,  10478,  20,  22,   2, 115513728, 115243040, 115194592, 114187144, 112521960
 15912,  16,  16384,  27415,  22,   4,   3, 111011712, 112355064, 111079328, 112452040, 113434696
 15913,  16,  16384,  21534,   4,   4,   0, 114019064, 113639088, 114084632, 113634832, 111808896
 15914,  16,  16384,   4416,   4,   4,   0, 114149248, 112579808, 107482184, 112677760, 113744752
 15915,  16,  16384,  10702,   4,   4,   0, 113752976, 113617416, 113636600, 113670624, 113695216
 15916,  16,  16384,   1663,   4,   5,   1, 113975184, 113609312, 111937280, 113188944, 114166224
 15917,  16,  16384,  44110,   5,  10,   3, 107860728, 113898368, 113830088, 114042504, 109940992
 15918,  16,  16384,  48526,  10,  15,   3, 111249248, 111100936, 111118504, 111126336, 111556512
 15919,  16,  16384,   7885,  15,   0,   3, 110674240, 111348712, 111543984, 110463320, 114015312
 15920,  16,  16384,  46419,   0,   1,   1, 113827048, 113305768, 107490200, 113841784, 114011728
 15921,  16,  16384,  48877,   1,   0,   1, 114315528, 112934744, 113770768, 114036672, 113903976
 15922,  16,  16384,  25387,   0,   0,   0, 113688968, 113372168, 113573176, 109682288, 113592736
 15923,  16,  16384,  18369,   0,   0,   0, 113910288, 112340640, 112376864, 113569920, 112438384
 15924,  16,  16384,  26174,   0,   2,   2, 113680400, 113290104, 113567560, 113811096, 110889344
 15925,  16,  16384,   4286,   2,   1,   2, 110913800, 110705440, 109395456, 110897304, 113732456
 15926,  16,  16384,  24044,   1,   4,   2, 113860056, 107673768, 113869096, 113834080, 114205864
 15927,  16,  16384,   9090,   4,  16,   3, 113850040, 113805616, 113551336, 107564432, 115718776
 15928,  16,  16384,  44397,  16,  20,   3, 114608608, 115358408, 109531736, 112856880, 115549312
 15929,  16,  16384,   3132,  20,  21,   1, 115817088, 115392272, 115386064, 109653144, 114683808
 15930,  16,  16384,  27818,  21,   8,   3, 116005288, 115799072, 115615000, 110087544, 105763912
 15931,  16,  16384,  31504,   8,  10,   2, 113794656, 113634704, 113514336, 113620376, 110884128
 15932,  16,  16384,  34371,  10,  11,   1, 104857648, 110918056, 110852488, 111062912, 110683576
 15933,  16,  16384,  49775,  11,   8,   2, 111779712, 110268848, 105753992, 111277376, 112538936
 15934,  16,  16384,  48200,   8,   4,   3, 113872024, 112899936, 112569552, 113948800, 113809640
 15935,  16,  16384,   8280,   4,  17,   3, 113933176, 113362680, 112669320, 113835312, 116101112
 15936,  16,  16384,   2631,  17,  13,   2, 116078712, 115556808, 113688536, 115828184, 114534008
 15937,  16,  16384,   7099,  13,  15,   2, 114042800, 113438416, 114000656, 113114056, 111501624
 15938,  16,  16384,   2224,  15,   9,   3, 111669528, 110212968, 111258592, 111747000, 114017472
 15939,  16,  16384,   4855,   9,   8,   1, 112899424, 113928904, 114246368, 114030856, 113569352
 15940,  16,  16384,  40898,   8,   9,   1, 113880480, 113825296, 107648544, 113614560, 113674928
 15941,  16,  16384,   2889,   9,   4,   3, 113418664, 113813144, 112986320, 114234896, 113742464
 15942,  16,  16384,  26452,   4,   4,   0, 114008872, 112744008, 113905160, 113546512, 114054168
 15943,  16,  16384,  12069,   4,   5,   1, 114201392, 113633592, 113496064, 112507328, 113930592
 15944,  16,  16384,  30275,   5,  14,   3, 113988784, 113813568, 113904944, 112885136, 109908296
 15945,  16,  16384,  35221,  14,  14,   0, 109848544, 110842040, 110642648, 104951320, 110918976
 15946,  16,  16384,   2603,  14,  12,   2, 110996624, 110094424, 109265096, 110982680, 110092272
 15947,  16,  16384,  21201,  12,  12,   0, 110801784, 113445392, 113822560, 112618112, 113767440
 15948,  16,  16384,  48879,  12,  21,   3, 113453664, 113521304, 113681232, 112445120, 115998152
 15949,  16,  16384,  44872,  21,  18,   2, 115885120, 113311328, 115849512, 115850672, 112420184
 15950,  16,  16384,   7351,  18,   3,   3, 111629320, 112401216, 112611008, 112486128, 111495504
 15951,  16,  16384,  19566,   3,   5,   2, 111413248, 111486072, 110605824, 110700448, 114350448
 15952,  16,  16384,  21323,   5,   0,   2, 113962568, 113953328, 114077224, 113012536, 113709920
 15953,  16,  16384,  28314,   0,   1,   1, 112603032, 113737880, 112796352, 112364408, 112722960
 15954,  16,  16384,  25768,   1,   1,   0, 114253928, 113946744, 113891712, 113737752, 114186624
 15955,  16,  16384,  21833,   1,   0,   1, 112965792, 112802152, 113917616, 107735752, 112211616
 15956,  16,  16384,   9482,   0,  19,   3, 113485688, 113239080, 113747880, 113811552, 111913592
 15957,  16,  16384,  25617,  19,  19,   0, 113263240, 112959736, 112839592, 113127016, 113673696
 15958,  16,  16384,  27054,  19,  18,   1, 112328232, 113443696, 113257808, 113372784, 111165184
 15959,  16,  16384,  41620,  18,   8,   3, 112535800, 112511192, 112683128, 112217808, 113800296
 15960,  16,  16384,  14069,   8,   8,   0, 112957192, 113534376, 106622824, 113425872, 113608152
 15961,  16,  16384,  37564,   8,   8,   0, 113949376, 113500480, 113702040, 113102312, 113964272
 15962,  16,  16384,  32394,   8,   0,   3, 112771416, 113528592, 112398696, 113758600, 111310856
 15963,  16,  16384,   3790,   0,   9,   3, 113942392, 113616640, 112445832, 113715784, 113882456
 15964,  16,  16384,  46376,   9,   8,   1, 114311824, 113000480, 113824528, 111299824, 112763664
 15965,  16,  16384,  29925,   8,  10,   2, 113934088, 105332360, 113563944, 113642112, 110767688
 15966,  16,  16384,  42761,  10,   8,   2, 111062840, 109805896, 110924152, 110668008, 113780144
 15967,  16,  16384,  43661,   8,   6,   2, 114079864, 112442208, 112455424, 106541944, 110090248
 15968,  16,  16384,  30985,   6,   8,   2, 110531744, 110129400, 109040856, 110105568, 114026408
 15969,  16,  16384,    631,   8,  11,   2, 113934192, 113487784, 113342056, 112865016, 111900312
 15970,  16,  16384,  45250,  11,   8,   2, 111688504, 110427504, 111561648, 111218568, 113928376
 15971,  16,  16384,  19823,   8,   1,   3, 113785192, 113749016, 113584816, 113474744, 113891720
 15972,  16,  16384,  30016,   1,   1,   0, 114011144, 113930168, 114070400, 113745296, 114147336
 15973,  16,  16384,  33736,   1,   0,   1, 114110504, 114212248, 106592456, 112618056, 113882496
 15974,  16,  16384,  19586,   0,  22,   3, 113814552, 112167640, 113863040, 111181936, 112099216
 15975,  16,  16384,   4704,  22,  21,   2, 111799832, 112556360, 112435440, 112262592, 116152928
 15976,  16,  16384,    855,  21,  21,   0, 110496224, 115940984, 113029552, 115944336, 116137784
 15977,  16,  16384,   9509,  21,  19,   2, 116145440, 115879200, 114641464, 115693656, 113415232
 15978,  16,  16384,   8591,  19,  23,   2, 113379304, 113059760, 111944760, 113377912, 112106024
 15979,  16,  16384,   4741,  23,  20,   2, 110129792, 110595792, 113096368, 113042440, 114033280
 15980,  16,  16384,  36889,  20,  20,   0, 115564680, 114032320, 115499464, 115662808, 115454952
 15981,  16,  16384,  37635,  20,  17,   3, 115419752, 115214984, 115317256, 114266328, 116116248
 15982,  16,  16384,   3391,  17,   7,   3, 114585536, 115712664, 110398656, 115766848, 111543232
 15983,  16,  16384,  49166,   7,  12,   3, 111615920, 111446360, 110123600, 111320392, 113742592
 15984,  16,  16384,   8674,  12,  13,   1, 113983888, 112307360, 112829896, 114011416, 113147576
 15985,  16,  16384,  17434,  13,  13,   0, 113154736, 114104928, 113975016, 112687472, 114436512
 15986,  16,  16384,  17490,  13,   4,   3, 114071912, 114163984, 114078248, 114118656, 107822072
 15987,  16,  16384,  39057,   4,   4,   0, 112802664, 113900104, 113561888, 113019472, 112363024
 15988,  16,  16384,  26602,   4,  20,   3, 113988576, 113581088, 113477136, 113697872, 114242920
 15989,  16,  16384,  18240,  20,  20,   0, 109861856, 114738816, 113346592, 115392888, 115618072
 15990,  16,  16384,  46022,  20,  22,   2, 114509888, 115535648, 115538568, 115649080, 112760280
 15991,  16,  16384,  48897,  22,   8,   3, 111248360, 112418632, 110953856, 112476464, 112622704
 15992,  16,  16384,  30724,   8,  17,   3, 113490144, 113829264, 113733944, 113956696, 116285456
 15993,  16,  16384,  42813,  17,  22,   3, 116387592, 115844576, 114000808, 115830960, 112522808
 15994,  16,  16384,  41790,  22,  22,   0, 106672944, 111241200, 112191072, 112389016, 112634208
 15995,  16,  16384,  44696,  22,  20,   2, 112516688, 112401808, 111187504, 112392936, 108472752
 15996,  16,  16384,  49470,  20,  20,   0, 114318536, 115531768, 115083216, 115215848, 115480608
 15997,  16,  16384,  34359,  20,  20,   0, 115469304, 115565232, 114097240, 115442272, 115204480
 15998,  16,  16384,   6601,  20,  21,   1, 114254104, 114061992, 109877184, 115634216, 115985120
 15999,  16,  16384,  45422,  21,  20,   1, 116043592, 115738600, 116117736, 115905456, 115574920
 16000,  16,  16384,    875,  20,  20,   0, 114493864, 115567592, 113901480, 113995504, 110624384
 16001,  16,  16384,  41787,  20,  21,   1, 114785376, 115490464, 115291456, 114879208, 115826144
 16002,  16,  16384,  11320,  21,  21,   0, 114670016, 115827672, 114477272, 116012216, 114453096
 16003,  16,  16384,  38937,  21,  21,   0, 114989856, 115878832, 113273408, 112737712, 116190568
 16004,  16,  16384,  23494,  21,  10,   3, 115793760, 115832448, 114602896, 115790112, 110885160
 16005,  16,  16384,   8975,  10,   6,   2, 108853248, 110837336, 111097544, 110880712, 109593072
 16006,  16,  16384,  41182,   6,   6,   0, 110513024, 108063776, 109802504, 110393784, 110335864
 16007,  16,  16384,  36066,   6,   8,   2, 109973880, 110131520, 110125992, 108621960, 112256560
 16008,  16,  16384,  11399,   8,   7,   2, 113752072, 113436096, 113420104, 113645096, 111823008
 16009,  16,  16384,  31351,   7,   7,   0, 111670512, 109080368, 111324072, 111371464, 111314816
 16010,  16,  16384,  36695,   7,  20,   3, 111532048, 104236160, 110152088, 111421856, 115505768
 16011,  16,  16384,  22102,  20,  11,   3, 115237760, 115418440, 115462184, 114207552, 111492712
 16012,  16,  16384,  14290,  11,   9,   2, 111383296, 111259560, 110260608, 110406432, 112989536
 16013,  16,  16384,  47618,   9,   7,   2, 114490904, 113976904, 113949968, 113012088, 110193768
 16014,  16,  16384,  14871,   7,   8,   2, 111662064, 111548864, 111630176, 111606264, 112456336
 16015,  16,  16384,  23708,   8,   9,   1, 113788536, 113625728, 113758264, 112405784, 112680592
 16016,  16,  16384,  12365,   9,   8,   1, 113450880, 114247656, 113884456, 106797512, 113955920
 16017,  16,  16384,  43954,   8,  14,   3, 113815304, 113670448, 112547968, 113819904, 111060336
 16018,  16,  16384,  12618,  14,   9,   3, 110922512, 110673432, 110908760, 110863776, 109518544
 16019,  16,  16384,  30733,   9,  20,   3, 111492280, 114150488, 113918088, 114160248, 115325776
 16020,  16,  16384,  31816,  20,  23,   2, 115450280, 115231128, 114067728, 115267360, 113666184
 16021,  16,  16384,   9169,  23,  11,   3, 113400168, 111914992, 113114640, 113310808, 110290544
 16022,  16,  16384,  10231,  11,  11,   0, 111786936, 111635024, 111667920, 111705336, 110680680
 16023,  16,  16384,  44204,  11,   0,   3, 106130384, 110557160, 111398720, 111440128, 113558824
 16024,  16,  16384,  26784,   0,   4,   2, 113776896, 113597120, 112427472, 113687904, 114057664
 16025,  16,  16384,  14296,   4,   5,   1, 112315552, 113990616, 113843680, 113507080, 112985040
 16026,  16,  16384,  33897,   5,   0,   2, 114130896, 113872944, 113710552, 113825016, 112504656
 16027,  16,  16384,   8144,   0,   4,   2, 113760624, 113632744, 112428584, 113470512, 113775424
 16028,  16,  16384,   2346,   4,   2,   2, 113810816, 112771032, 112543008, 113812352, 110993336
 16029,  16,  16384,   6176,   2,   3,   1, 110285104, 109796512, 110541432, 110777368, 104353976
 16030,  16,  16384,   1886,   3,   2,   1, 111652216, 111516248, 111323616, 111097312, 109043832
 16031,  16,  16384,  25145,   2,   3,   1, 110197320, 110735944, 110992080, 109382480, 111500480
 16032,  16,  16384,  35228,   3,   7,   3, 111673608, 110227144, 105251512, 111205944, 111329856
 16033,  16,  16384,   4950,   7,   5,   3, 111523176, 111500808, 110371928, 110091128, 114273752
 16034,  16,  16384,   2043,   5,   4,   1, 114312064, 112800440, 114202824, 112949864, 111976048
 16035,  16,  16384,  25121,   4,  10,   3, 113990856, 113732456, 112567608, 113763128, 111040704
 16036,  16,  16384,  49812,  10,  11,   1, 110971232, 104687000, 110609664, 110710712, 106056816
 16037,  16,  16384,  20955,  11,   9,   2, 111566072, 111520744, 111352496, 111398640, 114064992
 16038,  16,  16384,  32462,   9,  10,   2, 114480160, 113763464, 113583320, 114136784, 110050976
 16039,  16,  16384,  47315,  10,  10,   0, 110870472, 110768200, 110912624, 109702504, 109934408
 16040,  16,  16384,  10312,  10,  11,   1, 111181944, 110011208, 110966680, 110728424, 111258472
 16041,  16,  16384,  18335,  11,   0,   3, 111883816, 111532344, 104310544, 111230952, 113687928
 16042,  16,  16384,   2319,   0,   1,   1, 113735040, 106712752, 113718632, 112163464, 108022336
 16043,  16,  16384,  31668,   1,   6,   3, 114118416, 113776496, 113829408, 113271976, 110174856
 16044,  16,  16384,  46520,   6,   6,   0, 109977616, 108912568, 109985400, 109706512, 108960288
 16045,  16,  16384,  46985,   6,   6,   0, 110298224, 109901064, 108881328, 110050696, 110188832
 16046,  16,  16384,  21617,   6,   6,   0, 104580040, 110194640, 110220584, 108876048, 110110616
 16047,  16,  16384,  36173,   6,   6,   0, 108883208, 110051096, 108765080, 110331280, 110154800
 16048,  16,  16384,  36575,   6,   5,   3, 110086584, 110168184, 110074680, 110144168, 112439464
 16049,  16,  16384,    674,   5,   3,   2, 113281360, 113982904, 107821192, 113810760, 110757656
 16050,  16,  16384,    672,   3,  16,   3, 110664680, 111258536, 110027552, 111504016, 115524768
 16051,  16,  16384,  12703,  16,  12,   2, 115600376, 114012256, 115127776, 113055480, 113914160
 16052,  16,  16384,  10055,  12,  13,   1, 112757360, 113658768, 113663120, 113582816, 113043528
 16053,  16,  16384,  27554,  13,  13,   0, 113186536, 114421840, 113929512, 114136576, 114124536
 16054,  16,  16384,  47978,  13,   5,   3, 108685424, 113087416, 113937352, 114270328, 114295408
 16055,  16,  16384,  39214,   5,   4,   1, 114128696, 113805400, 111648008, 113790576, 113982816
 16056,  16,  16384,  29112,   4,   5,   1, 112737456, 107681520, 113435568, 113374864, 114280704
 16057,  16,  16384,   9457,   5,   4,   1, 113922072, 113974568, 113986624, 113854760, 114063000
 16058,  16,  16384,  13358,   4,   3,   2, 113635016, 113544376, 113474960, 111041248, 110357272
 16059,  16,  16384,  24266,   3,  13,   3, 110371048, 110485096, 111765304, 111361392, 114342800
 16060,  16,  16384,  34264,  13,  13,   0, 114218216, 113154456, 113957640, 113990008, 112883688
 16061,  16,  16384,  27624,  13,   9,   3, 108225136, 112870416, 113820216, 113413448, 108157584
 16062,  16,  16384,  22309,   9,   9,   0, 114112880, 114006080, 113923240, 114103632, 114244744
 16063,  16,  16384,  26418,   9,   6,   2, 114110528, 114189424, 113036928, 112882352, 110225104
 16064,  16,  16384,  11453,   6,   8,   2, 110156208, 110043624, 110129872, 104218160, 114009024
 16065,  16,  16384,  10021,   8,  22,   3, 114061304, 113607424, 113198032, 110897200, 112379736
 16066,  16,  16384,   6411,  22,  23,   1, 112579528, 112532088, 112716704, 112751824, 113361408
 16067,  16,  16384,  11231,  23,  20,   2, 113277952, 113444904, 111809272, 113252120, 114538528
 16068,  16,  16384,   7162,  20,   9,   3, 109632424, 115278184, 114207912, 115327304, 114035232
 16069,  16,  16384,  22626,   9,   9,   0, 114057264, 108005416, 114079368, 114155800, 114292072
 16070,  16,  16384,  37552,   9,  10,   2, 113328952, 114321552, 114134776, 113158328, 111010616
 16071,  16,  16384,  46701,  10,  12,   3, 110115640, 110531960, 111045472, 109495880, 113993376
 16072,  16,  16384,  14221,  12,  15,   2, 107883280, 113626784, 112459960, 113752936, 111799512
 16073,  16,  16384,  30892,  15,  20,   3, 110673672, 110406384, 105759128, 110127200, 115085808
 16074,  16,  16384,   7918,  20,  21,   1, 114321840, 115338600, 115246248, 114070664, 115910504
 16075,  16,  16384,  14171,  21,  21,   0, 114828368, 115912856, 114785128, 115958936, 116286832
 16076,  16,  16384,  42001,  21,  19,   2, 116211888, 114471784, 114568072, 115700288, 113262024
 16077,  16,  16384,  47999,  19,  12,   3, 113475328, 113250888, 113379136, 113320192, 113762920
 16078,  16,  16384,  32370,  12,  12,   0, 113687400, 113724104, 113503008, 112739024, 114038432
 16079,  16,  16384,  25406,  12,  16,   2, 107532560, 112574136, 113686944, 112173232, 115436520
 16080,  16,  16384,  13874,  16,  15,   2, 114598472, 115461336, 115459320, 115280528, 111570792
 16081,  16,  16384,  13130,  15,  12,   2, 111802008, 111369464, 111460888, 111386528, 113805144
 16082,  16,  16384,   9024,  12,  13,   1, 113482016, 112375608, 113416320, 113651768, 114439520
 16083,  16,  16384,  26636,  13,  23,   3, 108219136, 114032088, 113782056, 114089536, 113448712
 16084,  16,  16384,  39273,  23,  20,   2, 113412328, 113251280, 111904328, 111964144, 115391576
 16085,  16,  16384,  15179,  20,  21,   1, 115585648, 115464320, 115192088, 105981544, 116213552
 16086,  16,  16384,  23338,  21,  20,   1, 114948896, 114526120, 115584456, 108941760, 115770712
 16087,  16,  16384,  10491,  20,  20,   0, 115469848, 115210136, 115536624, 115116128, 114371096
 16088,  16,  16384,  15559,  20,  19,   2, 108952040, 115322376, 115494168, 113957672, 112091616
 16089,  16,  16384,   1959,  19,  18,   1, 112384184, 113275288, 113240488, 112255568, 110506128
 16090,  16,  16384,  37669,  18,  18,   0, 111725624, 112729112, 112709296, 112651360, 112454920
 16091,  16,  16384,  24624,  18,   4,   3, 112334872, 112424128, 112513616, 106327184, 113436696
 16092,  16,  16384,  33121,   4,   5,   1, 112539536, 113705048, 113485920, 112708120, 113061776
 16093,  16,  16384,   3577,   5,   5,   0, 108044232, 113784416, 113829176, 112893224, 113946600
 16094,  16,  16384,   7473,   5,  22,   3, 114176264, 113832472, 112921240, 113216400, 112910592
 16095,  16,  16384,  45143,  22,  22,   0, 112683256, 112482728, 112079664, 112384840, 112752648
 16096,  16,  16384,  22152,  22,  21,   2, 112574928, 112350160, 104402368, 111808856, 114556000
 16097,  16,  16384,  43251,  21,  21,   0, 116015728, 116029184, 115762392, 113518392, 114573888
 16098,  16,  16384,  24621,  21,  21,   0, 116271416, 115661928, 111607616, 114283456, 115670848
 16099,  16,  16384,  22106,  21,   5,   3, 116418344, 114593280, 115775224, 115967368, 113092480
 16100,  16,  16384,  36797,   5,   5,   0, 114190512, 107835688, 113995496, 114057552, 113881880
 16101,  16,  16384,   8066,   5,   5,   0, 112756768, 114016880, 114012688, 112730856, 113000608
 16102,  16,  16384,  48810,   5,   5,   0, 114519216, 113857472, 112893832, 114170080, 114503840
 16103,  16,  16384,  15584,   5,   5,   0, 114076096, 113918600, 112920176, 113858424, 114039552
 16104,  16,  16384,  10989,   5,   3,   2, 112886104, 113269672, 113590688, 113181232, 111259656
 16105,  16,  16384,  45524,   3,  18,   3, 111467296, 111455104, 111293224, 110315320, 112463624
 16106,  16,  16384,   3571,  18,  23,   2, 112499904, 112411160, 112341064, 112311984, 113626584
 16107,  16,  16384,  25678,  23,  22,   1, 113144448, 113359536, 113256928, 112946616, 112854960
 16108,  16,  16384,  44730,  22,  20,   2, 112810816, 112516280, 112344736, 106413976, 109515488
 16109,  16,  16384,   6164,  20,   1,   3, 114296536, 113887120, 115228544, 115199800, 113899168
 16110,  16,  16384,  44703,   1,   2,   2, 114285264, 114026392, 113902584, 112822536, 110902912
 16111,  16,  16384,  22100,   2,   3,   1, 110910088, 110774384, 110582920, 110737888, 110073952
 16112,  16,  16384,  11045,   3,   2,   1, 111441944, 110215072, 111302544, 111360192, 110976672
 16113,  16,  16384,   5774,   2,   7,   3, 109894808, 110771568, 110883592, 110654360, 111241928
 16114,  16,  16384,  19235,   7,  10,   2, 111663336, 111013976, 110151344, 110881640, 111083048
 16115,  16,  16384,  32196,  10,   4,   3, 110853968, 110790048, 110781552, 109575576, 112626992
 16116,  16,  16384,  34374,   4,  17,   3, 105254200, 113468664, 113646536, 113523144, 116121096
 16117,  16,  16384,  40123,  17,  16,   1, 116222192, 115691544, 114479352, 115867608, 114194232
 16118,  16,  16384,   9487,  16,  16,   0, 110105584, 114134304, 115344224, 115507072, 115838616
 16119,  16,  16384,  43089,  16,  16,   0, 115603488, 115141248, 114092048, 114054880, 115494200
 16120,  16,  16384,  39329,  16,   9,   3, 115781216, 114278648, 115436416, 113763224, 114118864
 16121,  16,  16384,  37916,   9,   9,   0, 114220816, 114068912, 114243496, 113955472, 114148968
 16122,  16,  16384,  30642,   9,  10,   2, 114310480, 113447248, 113801232, 114235000, 110797184
 16123,  16,  16384,  13785,  10,  10,   0, 104985264, 111022976, 109711456, 109956448, 110898392
 16124,  16,  16384,  32392,  10,  10,   0, 110745688, 110927576, 109666824, 110824888, 110976808
 16125,  16,  16384,  10556,  10,   6,   2, 109855448, 111077288, 110663952, 105413448, 110106488
 16126,  16,  16384,   8692,   6,  14,   3, 108911096, 110063568, 110305224, 110299792, 103078920
 16127,  16,  16384,  48742,  14,  19,   3, 109902616, 110689280, 110791264, 110879376, 113067952
 16128,  16,  16384,    519,  19,  12,   3, 113349920, 113090568, 113267792, 111711176, 113776240
 16129,  16,  16384,  10006,  12,  12,   0, 113642592, 113736168, 107458120, 113732064, 112637264
 16130,  16,  16384,  18948,  12,  13,   1, 112657504, 113545432, 112436672, 113713744, 107698960
 16131,  16,  16384,  22810,  13,  12,   1, 114172632, 113879304, 113835776, 113253064, 107891544
 16132,  16,  16384,  28502,  12,  12,   0, 113796720, 112251352, 113874880, 112515520, 112592120
 16133,  16,  16384,   3961,  12,  12,   0, 113867376, 112657880, 113692856, 113480032, 113613360
 16134,  16,  16384,  28996,  12,  13,   1, 114102712, 113674584, 113592472, 106405200, 111824352
 16135,  16,  16384,  47306,  13,  19,   3, 114422112, 114261896, 113061824, 107947576, 113358688
 16136,  16,  16384,  41048,  19,   1,   3, 112310944, 113268128, 113079448, 113416040, 114156808
 16137,  16,  16384,  32145,   1,  22,   3, 114166776, 110987952, 113862064, 113900456, 110169664
 16138,  16,  16384,  19338,  22,  23,   1, 112801784, 106900040, 112308248, 112273928, 112836512
 16139,  16,  16384,  12415,  23,  10,   3, 112471600, 113388104, 113355960, 111928000, 111086520
 16140,  16,  16384,  27727,  10,  10,   0, 104929032, 109558528, 110737944, 110557544, 110668752
 16141,  16,  16384,  11195,  10,  10,   0, 111348856, 110908160, 109841152, 111105200, 111099736
 16142,  16,  16384,  43925,  10,  10,   0, 110972096, 110952800, 110876136, 104892520, 111178728
 16143,  16,  16384,  25025,  10,  10,   0, 110931512, 108216160, 110863048, 110735032, 110363880
 16144,  16,  16384,  36326,  10,  10,   0, 111286448, 110962120, 111376720, 110713056, 110759528
 16145,  16,  16384,  37307,  10,  10,   0, 104107424, 110940488, 110868872, 110947984, 111176824
 16146,  16,  16384,  45378,  10,   8,   2, 110287160, 110668152, 111013680, 110693240, 112864424
 16147,  16,  16384,  23251,   8,   9,   1, 113760520, 113491288, 113713328, 113745408, 114335784
 16148,  16,  16384,  34988,   9,   6,   2, 114376056, 114135728, 114145336, 114139008, 110127640
 16149,  16,  16384,  34898,   6,   6,   0, 110150976, 110245360, 109850992, 108673864, 110054440
 16150,  16,  16384,  36777,   6,   6,   0, 110388608, 107327984, 110080632, 109918480, 103961184
 16151,  16,  16384,  15565,   6,   7,   1, 110086080, 109915744, 109999120, 109895704, 111552744
 16152,  16,  16384,  44682,   7,  11,   2, 111516224, 110440376, 111400448, 111446216, 110975080
 16153,  16,  16384,   9697,  11,   9,   2, 111444984, 111472520, 111650168, 111639504, 113202992
 16154,  16,  16384,   7362,   9,  10,   2, 113083200, 108132984, 113978752, 114085784, 110933216
 16155,  16,  16384,  22288,  10,  10,   0, 108098208, 110997728, 110926192, 109763408, 111087072
 16156,  16,  16384,  45695,  10,   1,   3, 110899600, 111022376, 110608392, 110893768, 114256048
 16157,  16,  16384,  22503,   1,   2,   2, 114173232, 113761432, 113883592, 112939200, 110757016
 16158,  16,  16384,  45888,   2,  13,   3, 111064616, 110700176, 110743144, 110723304, 114277232
 16159,  16,  16384,  42361,  13,  12,   1, 114249984, 113996816, 112752920, 114156552, 107822456
 16160,  16,  16384,  19160,  12,  14,   2, 112708440, 112533080, 112679904, 113602368, 109709400
 16161,  16,  16384,  15046,  14,  15,   1, 110138848, 110550360, 110805128, 104867368, 111384176
 16162,  16,  16384,  27624,  15,  14,   1, 111708680, 111178568, 111361128, 111369248, 110769072
 16163,  16,  16384,  18189,  14,  11,   3, 110900976, 109859440, 109642936, 110885952, 110468096
 16164,  16,  16384,  17634,  11,   6,   2, 111562536, 111496392, 105292624, 111377352, 110149168
 16165,  16,  16384,  25958,   6,   7,   1, 110006432, 108960960, 109926616, 110059344, 111512480
 16166,  16,  16384,  14562,   7,  20,   3, 111564976, 105199024, 110144776, 111287328, 114705824
 16167,  16,  16384,  39211,  20,  20,   0, 115872064, 114091968, 115072280, 109576776, 114280824
 16168,  16,  16384,   4355,  20,  18,   2, 115595672, 115468224, 114178256, 115305120, 111553424
 16169,  16,  16384,   3756,  18,  19,   1, 106885944, 112199328, 112606640, 112309472, 113499872
 16170,  16,  16384,  23675,  19,   1,   3, 113238856, 107204992, 113080528, 113319664, 113885160
 16171,  16,  16384,  49634,   1,   0,   1, 114104192, 112780152, 112768704, 114073928, 109194016
 16172,  16,  16384,  10424,   0,   0,   0, 112113616, 113632512, 112243680, 112764048, 113833448
 16173,  16,  16384,  14414,   0,   3,   2, 113627904, 113334752, 113780744, 113552632, 111304024
 16174,  16,  16384,  19315,   3,   2,   1, 111865008, 111436720, 111457568, 111277016, 110932224
 16175,  16,  16384,  30486,   2,  13,   3, 110567616, 109857680, 110718976, 110855496, 108025264
 16176,  16,  16384,   5974,  13,  13,   0, 114292680, 112708640, 113960008, 114445712, 114109680
 16177,  16,  16384,  26778,  13,  16,   2, 111698920, 114092240, 114269112, 114125440, 115650832
 16178,  16,  16384,  40039,  16,  14,   2, 115760256, 115232016, 115214816, 108189144, 111176424
 16179,  16,  16384,  41728,  14,  17,   2, 109690448, 110885432, 111007960, 110700048, 115115016
 16180,  16,  16384,  24273,  17,  17,   0, 116062344, 115912800, 116005384, 114611184, 116070984
 16181,  16,  16384,  46059,  17,  16,   1, 116127608, 114480696, 115857064, 115510384, 115782280
 16182,  16,  16384,  20292,  16,  19,   3, 115883408, 115643528, 115214032, 115404816, 113512408
 16183,  16,  16384,  36462,  19,  18,   1, 113456640, 113386400, 112951880, 112945680, 111282320
 16184,  16,  16384,  38109,  18,  18,   0, 112675952, 112458136, 112541144, 110198688, 106789472
 16185,  16,  16384,  11377,  18,  23,   2, 112317200, 112702992, 112374584, 112428392, 113477824
 16186,  16,  16384,  18844,  23,  22,   1, 113288296, 113157032, 110821864, 113192136, 110383552
 16187,  16,  16384,   1003,  22,  23,   1, 112804704, 112549872, 109875840, 109113120, 112975840
 16188,  16,  16384,    214,  23,  22,   1, 113278880, 107574208, 112979448, 113249536, 112350008
 16189,  16,  16384,  46988,  22,  23,   1, 112629800, 112319544, 109851552, 112702000, 113231056
 16190,  16,  16384,  17156,  23,  22,   1, 113468576, 113430440, 113319240, 107637520, 112362320
 16191,  16,  16384,  27166,  22,  22,   0, 111304584, 112262656, 112487296, 111160912, 112736840
 16192,  16,  16384,  26364,  22,  21,   2, 112584400, 112377976, 112383856, 106515416, 115819496
 16193,  16,  16384,  15236,  21,  21,   0, 116174216, 115850072, 114560584, 115923816, 115989064
 16194,  16,  16384,  43620,  21,  20,   1, 115855280, 113083008, 116019248, 115969000, 108384952
 16195,  16,  16384,  37792,  20,  21,   1, 112852856, 115754448, 115218592, 114802808, 115977464
 16196,  16,  16384,  38796,  21,  21,   0, 115853448, 115789304, 113357160, 115890496, 114774656
 16197,  16,  16384,  14197,  21,  20,   1, 116199480, 115819088, 115943456, 109937960, 115579624
 16198,  16,  16384,   3724,  20,  22,   2, 115809528, 115609136, 115771688, 114496448, 112696304
 16199,  16,  16384,  26921,  22,  15,   3, 112526136, 106601232, 110987576, 112273096, 105871920
 16200,  16,  16384,  48160,  15,  10,   3, 111907968, 109372256, 111916904, 111728376, 110571128
 16201,  16,  16384,   8217,  10,  10,   0, 110797744, 111149256, 110807192, 109595024, 104882240
 16202,  16,  16384,  45059,  10,   7,   2, 110851216, 110688792, 110701464, 110602248, 111688880
 16203,  16,  16384,  49526,   7,   6,   1, 111654584, 110345904, 111406152, 111513808, 108905536
 16204,  16,  16384,   8670,   6,  21,   3, 108991272, 110239736, 109912680, 110053472, 116111760
 16205,  16,  16384,   4692,  21,  20,   1, 115898176, 115839688, 114279792, 115039640, 115360232
 16206,  16,  16384,  30459,  20,  21,   1, 115770216, 114318128, 112963848, 110046328, 115957528
 16207,  16,  16384,  19941,  21,  15,   3, 108631440, 116124400, 115875528, 115630464, 111749064
 16208,  16,  16384,  10745,  15,  14,   1, 111583552, 111344768, 111517144, 111518336, 111004640
 16209,  16,  16384,  21925,  14,  14,   0, 110925792, 110840688, 110698208, 110896256, 110886864
 16210,  16,  16384,   6632,  14,  15,   1, 109985648, 109905160, 110255536, 110735936, 111525872
 16211,  16,  16384,  11982,  15,   6,   3, 111551728, 110136936, 110630472, 105217232, 110354544
 16212,  16,  16384,  42924,   6,   7,   1, 110271120, 109753848, 109782608, 104104568, 111244656
 16213,  16,  16384,  49042,   7,   7,   0, 111645328, 111472688, 111643680, 111187320, 105791704
 16214,  16,  16384,  26737,   7,  11,   2, 111671080, 109165392, 111173840, 111179112, 111607888
 16215,  16,  16384,   3504,  11,  19,   3, 111676624, 111568688, 111447696, 111608264, 112129216
 16216,  16,  16384,  44332,  19,  21,   2, 113771560, 113320856, 111581832, 113583864, 115861792
 16217,  16,  16384,  47963,  21,  20,   1, 114730616, 114663632, 116210696, 115893448, 115434856
 16218,  16,  16384,  46924,  20,  20,   0, 115394032, 109382248, 115200960, 115467768, 114153888
 16219,  16,  16384,   4803,  20,  21,   1, 115460400, 115130512, 115138056, 115571096, 115724536
 16220,  16,  16384,  20512,  21,  21,   0, 115775680, 116083160, 115783432, 115954256, 116041448
 16221,  16,  16384,  48238,  21,  21,   0, 115956856, 108380784, 115386200, 114624320, 115798000
 16222,  16,  16384,  49801,  21,  21,   0, 116150840, 116042416, 116064528, 115749520, 114428864
 16223,  16,  16384,    840,  21,  21,   0, 116238968, 115697032, 114680376, 115927728, 108101464
 16224,  16,  16384,  40598,  21,   9,   3, 114895432, 115849280, 115905944, 115859168, 113109680
 16225,  16,  16384,  24950,   9,  10,   2, 114513320, 114069416, 107858016, 113909960, 111047456
 16226,  16,  16384,   9037,  10,  11,   1, 111112696, 110983808, 109620104, 109965728, 110324432
 16227,  16,  16384,  30743,  11,  10,   1, 111706640, 111364672, 105388032, 111467800, 104146496
 16228,  16,  16384,  32364,  10,  11,   1, 110399664, 110504496, 110774512, 110918376, 111560104
 16229,  16,  16384,  44380,  11,   6,   2, 111695496, 110343872, 111650712, 111672536, 110162496
 16230,  16,  16384,  29167,   6,   6,   0, 109613552, 103845768, 108775632, 110378216, 110117088
 16231,  16,  16384,  40793,   6,   5,   3, 109789096, 108988536, 109952800, 110253424, 113158616
 16232,  16,  16384,  17410,   5,   4,   1, 114609560, 112893848, 113911584, 107875704, 114076096
 16233,  16,  16384,  40678,   4,   4,   0, 113470536, 103873144, 113917336, 113998680, 113747544
 16234,  16,  16384,  33754,   4,  17,   3, 113883408, 112774368, 112648144, 113743344, 116022264
 16235,  16,  16384,  13292,  17,   3,   3, 116095096, 115908376, 115889184, 115684680, 111425032
 16236,  16,  16384,   2285,   3,   5,   2, 110637280, 110833904, 110807152, 111204560, 112942832
 16237,  16,  16384,  16587,   5,   4,   1, 114321104, 107714480, 114008960, 113892376, 113535432
 16238,  16,  16384,  32209,   4,   4,   0, 105767792, 113871336, 113804640, 113794360, 114012080
 16239,  16,  16384,  30645,   4,   2,   2, 111501320, 113884104, 113718824, 113937576, 110828248
 16240,  16,  16384,  41249,   2,  22,   3, 110202464, 110137968, 110847512, 110962088, 111348696
 16241,  16,  16384,  46522,  22,  23,   1, 112399592, 111064104, 112290944, 112499368, 111832312
 16242,  16,  16384,   4787,  23,  20,   2, 113427352, 113267224, 113021920, 112362328, 115535096
 16243,  16,  16384,  10413,  20,  23,   2, 115749664, 115665704, 115326104, 112732608, 113424496
 16244,  16,  16384,   2878,  23,  22,   1, 107742032, 111803952, 113169088, 112801840, 105362776
 16245,  16,  16384,  22977,  22,  22,   0, 112712336, 112495512, 111131048, 112474616, 111402600
 16246,  16,  16384,  19059,  22,  10,   3, 112728864, 112548536, 111298000, 112589856, 109862240
 16247,  16,  16384,  14612,  10,  11,   1, 110830832, 110236600, 110034376, 110300168, 110168032
 16248,  16,  16384,  25103,  11,  20,   3, 110963512, 111370256, 111370488, 111588568, 115644760
 16249,  16,  16384,  26473,  20,  21,   1, 115707952, 113909016, 115637560, 115490840, 115872080
 16250,  16,  16384,  49119,  21,  22,   2, 115853096, 115818304, 114477560, 108093016, 111318888
 16251,  16,  16384,   8601,  22,  22,   0, 112563320, 112520976, 112483888, 112687728, 111377120
 16252,  16,  16384,  18476,  22,  12,   3, 112679552, 106661472, 112313192, 112349768, 105409576
 16253,  16,  16384,  25990,  12,  13,   1, 113695344, 112635424, 113562472, 113549592, 112902552
 16254,  16,  16384,  28296,  13,   7,   3, 114570768, 114089184, 108155368, 114229768, 110785440
 16255,  16,  16384,  47628,   7,   0,   3, 111342096, 111325864, 111342472, 111230168, 113820768
 16256,  16,  16384,  44874,   0,  10,   3, 113789984, 112278360, 113598664, 113559328, 110967424
 16257,  16,  16384,  28603,  10,   8,   2, 104981920, 110984960, 110969752, 108542384, 112719120
 16258,  16,  16384,   4390,   8,  12,   3, 113969640, 113709784, 112675168, 113791072, 113795720
 16259,  16,  16384,  22867,  12,   8,   3, 113906336, 113232120, 113358656, 113515056, 112754056
 16260,  16,  16384,  48671,   8,   9,   1, 113787128, 107740080, 112399000, 113604328, 114017584
 16261,  16,  16384,  49979,   9,   9,   0, 114124160, 114247512, 114001584, 113099552, 114142808
 16262,  16,  16384,  48253,   9,  11,   2, 113152464, 114370968, 114234856, 108238024, 110739240
 16263,  16,  16384,   5446,  11,  11,   0, 105816792, 111460488, 111679008, 110394192, 111447696
 16264,  16,  16384,  40068,  11,  11,   0, 111209696, 111492904, 111568936, 111065360, 110539064
 16265,  16,  16384,   4967,  11,  10,   1, 111530600, 110626136, 111388248, 105664080, 105019032
 16266,  16,  16384,  20834,  10,  13,   3, 111005096, 110628800, 109565456, 109641288, 114342832
 16267,  16,  16384,  32383,  13,  17,   2, 114347264, 113935576, 108083400, 114026128, 110205312
 16268,  16,  16384,  46290,  17,  16,   1, 115337272, 115250136, 114934128, 114638568, 115867712
 16269,  16,  16384,   1159,  16,  22,   3, 114551632, 115453632, 115486936, 115395112, 112709192
 16270,  16,  16384,   7558,  22,  23,   1, 111534672, 106314856, 111378848, 112350544, 113329784
 16271,  16,  16384,  20401,  23,  23,   0, 113579368, 112975224, 113223488, 111960776, 107571176
 16272,  16,  16384,  39661,  23,  19,   2, 112075912, 113305528, 113242856, 111901688, 113243840
 16273,  16,  16384,   7209,  19,  19,   0, 112282480, 113196560, 113325912, 113221744, 113344248
 16274,  16,  16384,  41215,  19,   3,   3, 112605048, 113334896, 111964824, 113141960, 110652392
 16275,  16,  16384,  48774,   3,   2,   1, 110585776, 111320984, 110338728, 111266624, 110896752
 16276,  16,  16384,  15184,   2,   2,   0, 110576984, 110596120, 110516480, 109604608, 110909296
 16277,  16,  16384,  38732,   2,   5,   2, 108772736, 110611984, 110749952, 110665256, 113743040
 16278,  16,  16384,  32514,   5,   5,   0, 113985152, 114035000, 113942864, 113284376, 114285448
 16279,  16,  16384,   9970,   5,   5,   0, 113997896, 113029984, 111640896, 114236520, 113950440
 16280,  16,  16384,  41746,   5,   5,   0, 107927944, 114112680, 114366728, 114112592, 114322096
 16281,  16,  16384,  44240,   5,   3,   2, 112921288, 113653832, 114057744, 113798336, 110630096
 16282,  16,  16384,  43366,   3,   3,   0, 111299112, 111386448, 111214672, 111395440, 109128576
 16283,  16,  16384,  15959,   3,   5,   2, 111436824, 110856904, 111182480, 110332680, 113610056
 16284,  16,  16384,  30904,   5,   4,   1, 112318864, 112938912, 113878816, 114047216, 113661264
 16285,  16,  16384,  29701,   4,   4,   0, 113705528, 114196400, 113819208, 113824976, 113886304
 16286,  16,  16384,  22069,   4,   4,   0, 111757992, 112830416, 113727400, 107690200, 114085200
 16287,  16,  16384,  45669,   4,   2,   2, 112907208, 113550024, 113778768, 113649824, 110858160
 16288,  16,  16384,   7627,   2,  19,   3, 109607152, 110868872, 110744392, 107310848, 113691272
 16289,  16,  16384,   3680,  19,  18,   1, 113511008, 113394184, 112789416, 112623256, 111308216
 16290,  16,  16384,  32037,  18,   6,   3, 106420128, 110156752, 112407184, 112481544, 110080664
 16291,  16,  16384,  16145,   6,  18,   3, 110068280, 110173968, 108747096, 110024616, 112441992
 16292,  16,  16384,  22055,  18,  16,   3, 111363208, 111004760, 112451536, 105224336, 115496352
 16293,  16,  16384,  12335,  16,  16,   0, 114151504, 109669752, 115140976, 115144944, 114225832
 16294,  16,  16384,  37529,  16,  12,   2, 114416384, 114337360, 115504864, 115315352, 114127064
 16295,  16,  16384,  38314,  12,  12,   0, 113665880, 112294384, 113485376, 107508792, 112697240
 16296,  16,  16384,  29088,  12,  12,   0, 112886040, 113486872, 113788672, 112416360, 113602752
 16297,  16,  16384,  42536,  12,  12,   0, 113902896, 113547056, 113741632, 113898592, 111774936
 16298,  16,  16384,   6097,  12,  11,   3, 109596320, 112413200, 112524032, 113437824, 110450912
 16299,  16,  16384,  22243,  11,   8,   2, 111565360, 105516296, 111323192, 110423128, 107827488
 16300,  16,  16384,  15746,   8,   9,   1, 114015328, 112434704, 113525600, 113467224, 114281680
 16301,  16,  16384,   2847,   9,   9,   0, 114168280, 114191984, 113837368, 113931072, 112902144
 16302,  16,  16384,   7153,   9,   9,   0, 114235672, 108605576, 113803872, 112991904, 113013544
 16303,  16,  16384,  32223,   9,   8,   1, 114322088, 114063208, 113914800, 113913872, 113846896
 16304,  16,  16384,  43193,   8,   7,   2, 113602240, 113687400, 113463448, 113730384, 111508256
 16305,  16,  16384,   2002,   7,   7,   0, 110632416, 111401384, 111257624, 105225728, 111495392
 16306,  16,  16384,  31453,   7,   9,   2, 111467424, 110324400, 111471728, 110025784, 114596520
 16307,  16,  16384,  41801,   9,   8,   1, 108059552, 112944040, 112879400, 112960928, 113795568
 16308,  16,  16384,  10066,   8,   8,   0, 113684120, 112530688, 113515032, 113585888, 113743648
 16309,  16,  16384,  37355,   8,   9,   1, 113845128, 113458632, 107545904, 113379192, 113068264
 16310,  16,  16384,  42324,   9,   9,   0, 114249416, 114245576, 114179336, 114144248, 114322784
 16311,  16,  16384,  21017,   9,   6,   2, 113066312, 114078232, 114170360, 113917520, 108912464
 16312,  16,  16384,   3077,   6,   7,   1, 110215208, 108977952, 109956144, 109046152, 111347120
 16313,  16,  16384,  28557,   7,   7,   0, 111460808, 111358584, 110158136, 111372312, 111714552
 16314,  16,  16384,   1734,   7,   7,   0, 110409968, 110285352, 111514872, 111269696, 105562600
 16315,  16,  16384,  18011,   7,   7,   0, 111675680, 110130952, 111295280, 111422272, 111613240
 16316,  16,  16384,  32368,   7,   7,   0, 110179504, 111240384, 111591624, 110229248, 111830480
 16317,  16,  16384,  37720,   7,   2,   3, 111793152, 111379288, 107080824, 108393304, 110749272
 16318,  16,  16384,   9163,   2,   3,   1, 110897120, 110780616, 110952416, 110988904, 111792280
 16319,  16,  16384,  44477,   3,   2,   1, 109209968, 111358840, 111255296, 111242768, 109269512
 16320,  16,  16384,   4882,   2,   2,   0, 110760728, 110562792, 110778968, 110649920, 110907752
 16321,  16,  16384,  17575,   2,   2,   0, 110635752, 110016432, 109488936, 110862208, 110847480
 16322,  16,  16384,  21392,   2,   8,   3, 109948440, 110239768, 103287304, 110802640, 113658384
 16323,  16,  16384,  43710,   8,  19,   3, 113592104, 107390984, 113533032, 113624592, 113146192
 16324,  16,  16384,   3745,  19,  22,   2, 113405632, 113016712, 111702184, 113155648, 112532072
 16325,  16,  16384,  22081,  22,   5,   3, 112647600, 112251440, 112234512, 112355416, 113909888
 16326,  16,  16384,    946,   5,   5,   0, 114177424, 112903304, 113638912, 113307800, 114371168
 16327,  16,  16384,  48849,   5,   4,   1, 114325304, 113909120, 113086784, 113747680, 114044632
 16328,  16,  16384,  13468,   4,  15,   3, 114058640, 113710192, 106360520, 113687112, 111772408
 16329,  16,  16384,  16865,  15,  15,   0, 111734816, 110434560, 111559304, 110444640, 111871840
 16330,  16,  16384,  11863,  15,  14,   1, 111355056, 111123280, 111302872, 105455576, 110561624
 16331,  16,  16384,  31556,  14,  12,   2, 111239024, 110663656, 110375864, 108847768, 113755256
 16332,  16,  16384,   7156,  12,  15,   2, 113650920, 112552216, 107559512, 113400768, 105868880
 16333,  16,  16384,  33228,  15,  12,   2, 111596176, 111513168, 110325776, 110196512, 112601488
 16334,  16,  16384,   9392,  12,  13,   1, 113941544, 113975784, 113621816, 112706144, 113191600
 16335,  16,  16384,  15902,  13,  12,   1, 114405120, 114020416, 113948368, 114086856, 113390592
 16336,  16,  16384,  48254,  12,  13,   1, 113655672, 112346080, 113444512, 113621792, 114242096
 16337,  16,  16384,  35925,  13,   6,   3, 112857088, 113749912, 114082968, 114058888, 109923320
 16338,  16,  16384,  20962,   6,   7,   1, 109151800, 108774568, 109919088, 109973008, 111403952
 16339,  16,  16384,  13571,   7,   2,   3, 111624896, 111335384, 111255208, 110337200, 111042376
 16340,  16,  16384,  39876,   2,  12,   3, 110926440, 111019104, 109644928, 110214648, 112598880
 16341,  16,  16384,   1971,  12,  12,   0, 113861464, 113824592, 113351696, 112602920, 113729456
 16342,  16,  16384,   4954,  12,  22,   3, 107977024, 113452768, 113827464, 112589600, 111700400
 16343,  16,  16384,  19395,  22,  22,   0, 106817776, 112382320, 112143848, 112362568, 110391472
 16344,  16,  16384,  15231,  22,  22,   0, 112772456, 112458856, 112595208, 112687152, 112638976
 16345,  16,  16384,  48086,  22,   3,   3, 112083968, 111433920, 111090664, 112666096, 105396224
 16346,  16,  16384,  47786,   3,   1,   2, 111415872, 111422288, 110312512, 111304280, 107619344
 16347,  16,  16384,  23040,   1,   1,   0, 113962928, 114117272, 113124136, 113312688, 114188088
 16348,  16,  16384,  34501,   1,   1,   0, 112918720, 112807792, 113833280, 113978232, 114102320
 16349,  16,  16384,  46388,   1,   3,   2, 114230168, 113987272, 107676792, 113803088, 111522192
 16350,  16,  16384,  20114,   3,   4,   2, 111532760, 105340152, 111403376, 111318792, 113770104
 16351,  16,  16384,  18090,   4,   5,   1, 112530640, 113801504, 113718168, 107255864, 114237000
 16352,  16,  16384,  14007,   5,   4,   1, 113840984, 113125304, 113190200, 113768024, 112866080
 16353,  16,  16384,  42297,   4,   0,   2, 114011584, 114087984, 112845768, 114140528, 113800520
 16354,  16,  16384,   6158,   0,   0,   0, 113887440, 113679440, 112425160, 113908472, 107543416
 16355,  16,  16384,  45625,   0,   1,   1, 112476768, 112491264, 113548648, 113623872, 114132400
 16356,  16,  16384,  39051,   1,   3,   2, 114066704, 114131184, 114035264, 113950448, 107465016
 16357,  16,  16384,  28594,   3,   3,   0, 111328272, 111424336, 110368112, 111362496, 111243344
 16358,  16,  16384,   3918,   3,  12,   3, 111572256, 111501832, 109352576, 110145416, 113635304
 16359,  16,  16384,  21391,  12,  12,   0, 113117664, 113657688, 113336504, 111673576, 113727288
 16360,  16,  16384,  10157,  12,  12,   0, 113972672, 113787096, 106515408, 113722672, 113605312
 16361,  16,  16384,  31256,  12,  22,   3, 113824320, 113432352, 113224800, 113562152, 112524240
 16362,  16,  16384,  31693,  22,   1,   3, 112794320, 112400256, 111844264, 111578264, 113989792
 16363,  16,  16384,  27316,   1,   1,   0, 114095264, 113901376, 113952552, 113921136, 112811568
 16364,  16,  16384,  24659,   1,   9,   3, 106175488, 112222904, 113592712, 113896712, 112823424
 16365,  16,  16384,  38996,   9,  22,   3, 114269656, 114087208, 114192872, 114064864, 111509456
 16366,  16,  16384,  28981,  22,  17,   3, 112622480, 112339520, 112540064, 112414960, 116225000
 16367,  16,  16384,  11263,  17,  14,   2, 114669848, 114609264, 115921744, 115881064, 110911264
 16368,  16,  16384,  23388,  14,  15,   1, 104832264, 108552504, 110924728, 109676864, 111643232
 16369,  16,  16384,  12735,  15,  14,   1, 111474888, 111478512, 111428416, 111689792, 109644112
 16370,  16,  16384,   2159,  14,  14,   0, 111132560, 111071624, 110710504, 102165744, 111044952
 16371,  16,  16384,   6556,  14,  14,   0, 109772344, 110778040, 110531280, 110863736, 110822696
 16372,  16,  16384,  32541,  14,  15,   1, 110848472, 110826704, 110572368, 109918824, 111425664
 16373,  16,  16384,  40920,  15,  13,   2, 110544880, 111522784, 105546104, 111629744, 113021976
 16374,  16,  16384,  20466,  13,  13,   0, 113557544, 114196648, 105968192, 114107296, 114090056
 16375,  16,  16384,  18125,  13,  16,   2, 114271216, 113988024, 114023088, 112935704, 115530704
 16376,  16,  16384,   8064,  16,  16,   0, 108539368, 115551592, 113043768, 115342288, 115486896
 16377,  16,  16384,  40678,  16,  16,   0, 115759680, 115249216, 115585392, 115417696, 115656240
 16378,  16,  16384,  14311,  16,  23,   3, 114355184, 115588536, 114330488, 115379816, 113384232
 16379,  16,  16384,  42153,  23,  23,   0, 113157848, 111973392, 107760336, 113063264, 113329104
 16380,  16,  16384,  36326,  23,   1,   3, 112180272, 113134568, 112047792, 113343000, 113477912
 16381,  16,  16384,  23529,   1,   3,   2, 114236160, 113016288, 112657440, 113783568, 111679120
 16382,  16,  16384,  45883,   3,   3,   0, 111358952, 110214752, 111467848, 110441768, 111571592
 16383,  16,  16384,   6899,   3,  23,   3, 111487096, 110042616, 111247896, 111130672, 112750208
 16384,  16,  16384,  18844,  23,  19,   2, 112314320, 107570920, 113326576, 112976264, 113526248
 16385,  16,  16384,   9546,  19,  20,   2, 111973824, 113495824, 113286680, 113056464, 115731520
 16386,  16,  16384,  25800,  20,  20,   0, 115595248, 115429000, 115359184, 115389200, 115449288
 16387,  16,  16384,  26164,  20,  20,   0, 114484920, 115413560, 114210208, 115319792, 112883144
 16388,  16,  16384,  37144,  20,  20,   0, 115645392, 115405312, 115088632, 115488472, 115253496
 16389,  16,  16384,  20147,  20,  20,   0, 115369280, 115412992, 114178448, 115674656, 115769544
 16390,  16,  16384,  46773,  20,  16,   3, 115622128, 107179264, 115384520, 115212904, 115684704
 16391,  16,  16384,  27995,  16,  12,   2, 115439328, 115207960, 115422184, 115275432, 112683056
 16392,  16,  16384,   9738,  12,  13,   1, 114106776, 113803408, 113791712, 105042768, 114308504
 16393,  16,  16384,  11994,  13,   2,   3, 114261952, 114169184, 112938368, 114136208, 110960016
 16394,  16,  16384,  15654,   2,   1,   2, 110919048, 110813824, 110772616, 109816368, 112797840
 16395,  16,  16384,  26569,   1,   0,   1, 113890232, 112972928, 114171120, 114108648, 113982344
 16396,  16,  16384,  30726,   0,   0,   0, 112153072, 113826624, 113600152, 107743552, 113906968
 16397,  16,  16384,  22324,   0,   3,   2, 113725176, 112787872, 112010224, 112631736, 109305488
 16398,  16,  16384,  11947,   3,   2,   1, 111526216, 110359912, 111463240, 111693224, 110970368
 16399,  16,  16384,  27138,   2,  16,   3, 109749200, 110644880, 109565168, 109008272, 115256568
 16400,  16,  16384,  38042,  16,  17,   1, 114383088, 115168936, 115440376, 115368768, 114773216
 16401,  16,  16384,  36552,  17,  21,   3, 116128488, 115785944, 116105536, 114600120, 116350928
 16402,  16,  16384,  48499,  21,  21,   0, 115946952, 115834344, 115278416, 113985296, 115831040
 16403,  16,  16384,  31545,  21,  20,   1, 108888288, 115785488, 115540472, 116314552, 114223768
 16404,  16,  16384,  37013,  20,  22,   2, 115910904, 114212160, 115330920, 115382480, 112283888
 16405,  16,  16384,   9501,  22,  22,   0, 111294304, 112191776, 111309888, 111214328, 112560880
 16406,  16,  16384,   6398,  22,  17,   3, 111306176, 112717008, 112439880, 112561048, 116326448
 16407,  16,  16384,  47380,  17,   5,   3, 113693416, 116064312, 115960976, 115213488, 114006336
 16408,  16,  16384,  18291,   5,  20,   3, 113391224, 113399872, 112501904, 114022784, 115442608
 16409,  16,  16384,  24150,  20,  19,   2, 115590488, 115468376, 115303504, 115355360, 113671448
 16410,  16,  16384,  39628,  19,  18,   1, 112150160, 113121432, 113114568, 111874960, 106690696
 16411,  16,  16384,   9017,  18,  21,   2, 112596416, 112218504, 112340256, 112263888, 116027264
 16412,  16,  16384,  34458,  21,  21,   0, 116235072, 114395688, 114498840, 116066936, 115009472
 16413,  16,  16384,  45564,  21,  20,   1, 115644608, 115785616, 115942008, 110122528, 115723472
 16414,  16,  16384,  38229,  20,   4,   3, 115732392, 115223056, 115500104, 112983288, 113868448
 16415,  16,  16384,  37538,   4,   1,   2, 112655648, 113581368, 111500512, 113744104, 114104728
 16416,  16,  16384,  31055,   1,   3,   2, 114108880, 113996416, 113815416, 113227528, 111524864
 16417,  16,  16384,  12256,   3,   8,   3, 111745288, 110227128, 110310024, 110683760, 113786248
 16418,  16,  16384,  31871,   8,   9,   1, 113978920, 112644728, 113636720, 113929464, 108323560
 16419,  16,  16384,  21990,   9,   8,   1, 111551296, 113214680, 113846600, 113939320, 113645080
 16420,  16,  16384,   4430,   8,   6,   2, 102743240, 113741264, 113680736, 112631040, 107655208
 16421,  16,  16384,  46547,   6,   6,   0, 109944264, 110245096, 110110872, 110108736, 110058088
 16422,  16,  16384,  39462,   6,  10,   2, 108773016, 110144904, 109974312, 110520184, 110720328
 16423,  16,  16384,  46778,  10,  10,   0, 104890104, 107272864, 110864104, 110815592, 110907520
 16424,  16,  16384,   2802,  10,   8,   2, 111027016, 111166296, 110131664, 110758048, 113814768
 16425,  16,  16384,  36412,   8,  11,   2, 113988416, 112578184, 113731184, 113519552, 111751072
 16426,  16,  16384,  11477,  11,  13,   3, 111878064, 110800936, 110991688, 104379200, 114398864
 16427,  16,  16384,  32422,  13,  14,   2, 114001200, 114142408, 106050216, 114091080, 108596536
 16428,  16,  16384,  35224,  14,  15,   1, 110990080, 110786760, 110845200, 111043704, 110728840
 16429,  16,  16384,    349,  15,  23,   3, 111890496, 110205536, 105571432, 111451752, 110792648
 16430,  16,  16384,  36762,  23,  22,   1, 113514584, 113467776, 113496192, 113515312, 112471440
 16431,  16,  16384,  31053,  22,  23,   1, 112418680, 112595424, 112909528, 112252992, 113310056
 16432,  16,  16384,  45940,  23,  21,   2, 110772488, 113204968, 113209672, 113225976, 116148880
 16433,  16,  16384,   2974,  21,  20,   1, 116136240, 115655136, 114344128, 115938168, 112908856
 16434,  16,  16384,  39080,  20,  21,   1, 112858136, 115186136, 115263064, 115424944, 114881744
 16435,  16,  16384,  17736,  21,  19,   2, 115747608, 115803816, 115997232, 114508496, 113568448
 16436,  16,  16384,  39822,  19,  18,   1, 113522336, 111969344, 111468560, 112081832, 112274744
 16437,  16,  16384,  48350,  18,  22,   2, 112777328, 111615664, 112481064, 112497016, 112426736
 16438,  16,  16384,  35244,  22,  20,   2, 112885104, 111346600, 112591368, 112554864, 115510400
 16439,  16,  16384,  28165,  20,  21,   1, 115613800, 113962520, 115060856, 115381280, 116054000
 16440,  16,  16384,  27660,  21,  21,   0, 114478744, 116006888, 115758192, 115897936, 114837816
 16441,  16,  16384,    494,  21,  18,   2, 116313840, 114381728, 108642896, 115769264, 112642936
 16442,  16,  16384,  32914,  18,  18,   0, 106562880, 112215656, 112375640, 111307776, 112731664
 16443,  16,  16384,  13250,  18,  12,   3, 112787608, 111523912, 112331312, 111172200, 112645968
 16444,  16,  16384,  33741,  12,  15,   2, 113912016, 113707672, 113668448, 113631968, 105471232
 16445,  16,  16384,  35410,  15,  14,   1, 110563760, 111672608, 111683360, 110446152, 109868976
 16446,  16,  16384,  19027,  14,  15,   1, 111132096, 111000016, 109837248, 110743504, 111773024
 16447,  16,  16384,  26895,  15,  15,   0, 110186744, 105507176, 110154112, 111652848, 110495568
 16448,  16,  16384,  25511,  15,  10,   3, 111571304, 111599008, 111733112, 111564288, 111219616
 16449,  16,  16384,   8073,  10,  12,   3, 110874736, 105429568, 109063232, 110887744, 113957264
 16450,  16,  16384,   4859,  12,  13,   1, 112969648, 112226456, 113391408, 113566648, 113135400
 16451,  16,  16384,   2018,  13,   0,   3, 114505344, 114144968, 114053368, 113994984, 112637000
 16452,  16,  16384,   2367,   0,   0,   0, 107505232, 113774392, 113629168, 112207256, 112406304
 16453,  16,  16384,  40919,   0,   6,   3, 113611536, 113590616, 113723992, 113809016, 108429928
 16454,  16,  16384,  34482,   6,  19,   3, 109437392, 110161344, 110119752, 110362272, 113629720
 16455,  16,  16384,  13751,  19,  19,   0, 113317488, 113261688, 112232320, 112546120, 113412072
 16456,  16,  16384,   3764,  19,  18,   1, 113776712, 113195976, 112962136, 111770776, 112439368
 16457,  16,  16384,  23388,  18,  18,   0, 112700504, 111793880, 111656208, 112262696, 112782728
 16458,  16,  16384,  32022,  18,  19,   1, 111524360, 112265760, 112156360, 111192672, 112046520
 16459,  16,  16384,   1474,  19,  22,   2, 106293608, 113234816, 111889872, 113302776, 112703312
 16460,  16,  16384,  11111,  22,  22,   0, 106919080, 111068000, 111183688, 112614864, 112651920
 16461,  16,  16384,  21595,  22,  18,   2, 111457280, 112216536, 112469088, 112283760, 112509416
 16462,  16,  16384,  40937,  18,  18,   0, 111922472, 111963216, 112431840, 111092200, 111237136
 16463,  16,  16384,  20604,  18,  19,   1, 112464096, 106673848, 111282440, 112714472, 107597360
 16464,  16,  16384,  28766,  19,  18,   1, 112174976, 113124152, 113151184, 113208512, 111724464
 16465,  16,  16384,  39885,  18,  17,   3, 111117192, 112602384, 112453008, 107473080, 115858072
 16466,  16,  16384,  10138,  17,  10,   3, 115664352, 112707232, 114038744, 115717432, 110940840
 16467,  16,  16384,  19645,  10,  10,   0, 111149264, 109447792, 109945384, 109536760, 111051784
 16468,  16,  16384,  26467,  10,  21,   3, 103866000, 110441784, 110710528, 110675128, 115917608
 16469,  16,  16384,  46516,  21,  17,   3, 115772224, 115904944, 115655024, 115814112, 116042824
 16470,  16,  16384,  27261,  17,  16,   1, 116157544, 110008832, 115756504, 115613328, 115343792
 16471,  16,  16384,  21060,  16,  17,   1, 109727480, 115227744, 115242248, 115237320, 115880280
 16472,  16,  16384,  11632,  17,  13,   2, 116367960, 115864104, 115572992, 115795352, 113223336
 16473,  16,  16384,  37674,  13,  17,   2, 114150200, 107002720, 113145896, 114177960, 115779504
 16474,  16,  16384,  19495,  17,  15,   2, 114450248, 115660320, 116018120, 115686592, 111595944
 16475,  16,  16384,  39473,  15,  14,   1, 110902640, 110526480, 111490736, 110361528, 110679840
 16476,  16,  16384,  31635,  14,  15,   1, 111078008, 108495952, 110853296, 109645864, 103234176
 16477,  16,  16384,  40099,  15,  15,   0, 111503048, 111723032, 110221896, 111356192, 111508256
 16478,  16,  16384,  49142,  15,  12,   2, 111864840, 111670112, 111327792, 111476816, 106676024
 16479,  16,  16384,  44865,  12,  12,   0, 113552992, 113665000, 112496448, 112389376, 113634392
 16480,  16,  16384,     91,  12,  12,   0, 113765736, 112618032, 113939088, 113499432, 113693432
 16481,  16,  16384,  19993,  12,  13,   1, 113616312, 113143952, 105250120, 113332048, 114167096
 16482,  16,  16384,  36897,  13,  12,   1, 111817800, 105919416, 113934720, 112934608, 113956304
 16483,  16,  16384,  33143,  12,   3,   3, 113881824, 113727760, 113434248, 113571712, 111488984
 16484,  16,  16384,  46583,   3,  18,   3, 110583760, 110119608, 111258392, 111397272, 110156720
 16485,  16,  16384,  12541,  18,  18,   0, 112596784, 112503144, 112536192, 112466016, 105461104
 16486,  16,  16384,  40336,  18,  17,   3, 112430544, 111767720, 111437640, 112527432, 116228968
 16487,  16,  16384,  12895,  17,   5,   3, 116241656, 115877576, 115781400, 115805760, 114159184
 16488,  16,  16384,   2765,   5,   3,   2, 112913560, 114178152, 112966248, 113989256, 110346696
 16489,  16,  16384,  26108,   3,   2,   1, 111558456, 111509392, 111604992, 111275264, 111126176
 16490,  16,  16384,  31600,   2,   2,   0, 110838864, 110737528, 109544576, 109746840, 109672576
 16491,  16,  16384,  12752,   2,   2,   0, 110908520, 110821000, 110430952, 110648768, 109716048
 16492,  16,  16384,  29549,   2,   2,   0, 105034792, 110538600, 110772368, 110564704, 111030104
 16493,  16,  16384,  42050,   2,   5,   2, 109560976, 109372864, 110598776, 110668192, 112818680
 16494,  16,  16384,  15559,   5,   4,   1, 114236216, 114278000, 113936296, 113970672, 113830312
 16495,  16,  16384,  28985,   4,   5,   1, 112907872, 113019512, 111871760, 113576864, 105649392
 16496,  16,  16384,  30691,   5,  14,   3, 114381504, 112928336, 114259032, 113877544, 111164936
 16497,  16,  16384,   8505,  14,  14,   0, 111211936, 104981400, 110904528, 110314408, 109839592
 16498,  16,  16384,   9660,  14,  14,   0, 110894928, 110849416, 110912960, 111129856, 111193736
 16499,  16,  16384,  36701,  14,  15,   1, 109903976, 109859200, 110902032, 111020456, 111508400
 16500,  16,  16384,  21717,  15,  23,   3, 111640536, 110493480, 111365912, 111662944, 112347568
 16501,  16,  16384,  46114,  23,  19,   2, 113225880, 113382848, 113397088, 111545024, 113487632
 16502,  16,  16384,  35310,  19,  23,   2, 113772792, 113475960, 113201240, 113184112, 112246520
 16503,  16,  16384,  37189,  23,  22,   1, 107330472, 112104288, 113194152, 113229464, 112592200
 16504,  16,  16384,   3660,  22,  23,   1, 111611104, 112431008, 112468808, 111181232, 113349048
 16505,  16,  16384,  16235,  23,  23,   0, 113423368, 111944720, 111931096, 107711400, 113206488
 16506,  16,  16384,   1729,  23,  17,   3, 112230184, 113208264, 111850168, 113270280, 116057472
 16507,  16,  16384,   7154,  17,  13,   2, 116069936, 114777288, 112963608, 116132552, 112842120
 16508,  16,  16384,  14936,  13,  12,   1, 113145160, 114084112, 113801440, 114030320, 113308352
 16509,  16,  16384,   9546,  12,  12,   0, 113683568, 113029368, 111537616, 113401184, 113612896
 16510,  16,  16384,  27547,  12,  18,   3, 113956688, 112550736, 113796800, 113779568, 112548448
 16511,  16,  16384,   1000,  18,  18,   0, 111423568, 112618968, 112489720, 110828176, 112173640
 16512,  16,  16384,  30408,  18,  19,   1, 112678224, 112381688, 112395440, 112299160, 113082344
 16513,  16,  16384,  41976,  19,  19,   0, 112400336, 111746856, 110643672, 110300200, 113493040
 16514,  16,  16384,  41063,  19,  19,   0, 113552576, 113064808, 113213496, 110366992, 113265960
 16515,  16,  16384,  18549,  19,  21,   2, 113246688, 112038320, 113307824, 111858904, 115651352
 16516,  16,  16384,  15668,  21,  23,   2, 116194352, 115766024, 113183192, 114661288, 110669792
 16517,  16,  16384,  33780,  23,  23,   0, 113584424, 113151344, 113318160, 112008312, 105553528
 16518,  16,  16384,  47850,  23,  23,   0, 113637424, 113313656, 113214640, 113256016, 113202016
 16519,  16,  16384,  23606,  23,   0,   3, 111942016, 112100064, 113297688, 113211456, 113731856
 16520,  16,  16384,  33654,   0,   5,   2, 113136888, 113132472, 113726640, 113533016, 113957240
 16521,  16,  16384,   2202,   5,   5,   0, 113224320, 113179592, 113859056, 113844976, 112869744
 16522,  16,  16384,  32569,   5,   5,   0, 113996184, 114012208, 113795544, 113751752, 113775984
 16523,  16,  16384,  25992,   5,   4,   1, 113126784, 113902328, 106911832, 112643528, 113839656
 16524,  16,  16384,  26335,   4,   4,   0, 113871608, 112841592, 112671040, 113762088, 114255632
 16525,  16,  16384,  11295,   4,   2,   2, 113740280, 113832864, 113848720, 112621328, 104911904
 16526,  16,  16384,  17861,   2,   2,   0, 109645848, 110959280, 109537672, 110911912, 110912768
 16527,  16,  16384,  23669,   2,   1,   2, 109821504, 111034104, 111005064, 110644784, 113812296
 16528,  16,  16384,  27716,   1,   1,   0, 112471608, 107712680, 113740240, 114025400, 114185112
 16529,  16,  16384,   5462,   1,   1,   0, 112751904, 113954136, 113904952, 113969200, 114545096
 16530,  16,  16384,  16711,   1,   0,   1, 114069424, 112304264, 113847920, 112520200, 113745632
 16531,  16,  16384,  48878,   0,   0,   0, 113933904, 112771552, 113372136, 112065672, 113992288
 16532,  16,  16384,  19874,   0,   9,   3, 113832624, 113711040, 113857568, 106996000, 105798904
 16533,  16,  16384,  43879,   9,  12,   3, 113519440, 114218776, 114103376, 114095752, 106592080
 16534,  16,  16384,  11739,  12,  12,   0, 113831408, 113881280, 113818856, 113781176, 113622472
 16535,  16,  16384,  49405,  12,  23,   3, 110308640, 113389664, 114005928, 113459744, 113506168
 16536,  16,  16384,  38488,  23,  20,   2, 108010800, 113117984, 113318840, 112037816, 115355608
 16537,  16,  16384,   8818,  20,   4,   3, 115212968, 112714152, 109688168, 114057432, 113796688
 16538,  16,  16384,   4608,   4,   5,   1, 114025560, 113756584, 113721368, 113908120, 114211488
 16539,  16,  16384,  16303,   5,  22,   3, 114145440, 114096232, 113636000, 113093992, 112654568
 16540,  16,  16384,  41339,  22,  23,   1, 112631848, 110157496, 112671704, 112406640, 113274296
 16541,  16,  16384,   2738,  23,  23,   0, 112081520, 112066944, 113484720, 111901472, 113507648
 16542,  16,  16384,  12867,  23,   8,   3, 113643368, 113663920, 111983968, 113326784, 113015992
 16543,  16,  16384,  26720,   8,   8,   0, 113974456, 113645712, 113471696, 113702304, 113976320
 16544,  16,  16384,   7601,   8,   9,   1, 113850504, 113319320, 111393168, 113793992, 114134832
 16545,  16,  16384,   9264,   9,  16,   3, 113077808, 114170296, 114102136, 112719152, 115530808
 16546,  16,  16384,  47491,  16,   6,   3, 115520208, 115373640, 115541488, 115544032, 109014056
 16547,  16,  16384,  25645,   6,  13,   3, 104424392, 110327760, 108802064, 109839488, 113195728
 16548,  16,  16384,  37275,  13,  12,   1, 114265480, 107740224, 113781640, 114052168, 112498688
 16549,  16,  16384,  40013,  12,  16,   2, 114008880, 112427608, 113582608, 113564472, 113805568
 16550,  16,  16384,  18274,  16,  16,   0, 116050800, 114438040, 115711848, 115498224, 115628736
 16551,  16,  16384,  31044,  16,  16,   0, 115717240, 114106192, 115495040, 115285896, 115497048
 16552,  16,  16384,  20979,  16,  17,   1, 115532096, 112939368, 115568080, 114390440, 116207072
 16553,  16,  16384,  39542,  17,  12,   2, 115102080, 115628816, 112662264, 113485720, 113938616
 16554,  16,  16384,  31866,  12,  12,   0, 112743288, 113500544, 105556944, 113757032, 113676176
 16555,  16,  16384,  36385,  12,  12,   0, 113818440, 113627072, 112433824, 113854960, 112417480
 16556,  16,  16384,  16794,  12,  13,   1, 114004160, 114048600, 113671792, 112106896, 114476608
 16557,  16,  16384,  28850,  13,  14,   2, 108552352, 113965248, 114011632, 112721488, 110892904
 16558,  16,  16384,  11382,  14,  14,   0, 109940840, 111121848, 109838528, 111035136, 110899216
 16559,  16,  16384,   5451,  14,  15,   1, 111046160, 110784232, 104716160, 109611928, 105694280
 16560,  16,  16384,  10694,  15,  16,   2, 111599064, 111145656, 111436544, 111340904, 115459400
 16561,  16,  16384,  37806,  16,  17,   1, 115611960, 115269544, 109493312, 113987416, 114396416
 16562,  16,  16384,  48859,  17,  15,   2, 115316408, 114340288, 115950688, 116119232, 111114072
 16563,  16,  16384,  31510,  15,  14,   1, 111090128, 111567680, 111641800, 109234800, 104935592
 16564,  16,  16384,   8879,  14,  15,   1, 110232040, 110369968, 110822544, 109434264, 111330888
 16565,  16,  16384,  44722,  15,  13,   2, 111580656, 110323008, 111808752, 111523432, 114085360
 16566,  16,  16384,  46896,  13,   4,   3, 114265376, 113962960, 108184032, 112946712, 113550664
 16567,  16,  16384,   5773,   4,   4,   0, 113765840, 107416824, 113659128, 113452808, 112657296
 16568,  16,  16384,  26629,   4,   4,   0, 113871528, 112467632, 112805744, 114079424, 112610800
 16569,  16,  16384,  30538,   4,   4,   0, 114165568, 113770936, 113929616, 113491296, 108009248
 16570,  16,  16384,  18136,   4,   9,   3, 113988824, 113682000, 112646736, 113605840, 113935968
 16571,  16,  16384,  15986,   9,   7,   2, 113051016, 114052584, 114133496, 113929800, 111350992
 16572,  16,  16384,  45347,   7,   7,   0, 111636104, 111496776, 105263424, 110488288, 111450272
 16573,  16,  16384,   5950,   7,   9,   2, 111561176, 111451856, 109351256, 110710608, 114320592
 16574,  16,  16384,   6412,   9,  11,   2, 114049664, 106878216, 114138176, 113169520, 110577040
 16575,  16,  16384,  13422,  11,  10,   1, 105560784, 110410584, 111432088, 111140792, 110752440
 16576,  16,  16384,  12653,  10,  10,   0, 111102528, 110527112, 109932656, 110890664, 109893640
 16577,  16,  16384,  24713,  10,  11,   1, 110770672, 110768312, 110944656, 110892704, 111757088
 16578,  16,  16384,  44138,  11,  11,   0, 111578720, 110011144, 110419728, 111448392, 111531688
 16579,  16,  16384,  18374,  11,   6,   2, 111486240, 111397056, 110987064, 110610928, 110081352
 16580,  16,  16384,  41750,   6,   7,   1, 110321040, 108861432, 109073584, 109852232, 110495808
 16581,  16,  16384,  37775,   7,  17,   3, 111353368, 111463568, 111556384, 111568208, 114599240
 16582,  16,  16384,   2764,  17,  17,   0, 116226384, 115771752, 114722632, 116098344, 116031128
 16583,  16,  16384,  31293,  17,  17,   0, 116378776, 115923480, 114497792, 114678536, 115988200
 16584,  16,  16384,   3438,  17,  22,   3, 115972488, 113056136, 111493040, 115890408, 111296096
 16585,  16,  16384,   3772,  22,  22,   0, 112961016, 112490568, 112481592, 110628552, 111522864
 16586,  16,  16384,  34227,  22,  20,   2, 112724368, 112557232, 112378568, 112570808, 115657208
 16587,  16,  16384,  11834,  20,   4,   3, 116005448, 113999856, 115341432, 115414840, 114179504
 16588,  16,  16384,  48728,   4,   4,   0, 112731928, 113899416, 107532704, 113771664, 113920000
 16589,  16,  16384,  26943,   4,   1,   2, 112424912, 112704720, 113679112, 112866504, 113969176
 16590,  16,  16384,  46695,   1,   1,   0, 113978088, 107996368, 113019120, 114134520, 114209880
 16591,  16,  16384,  41380,   1,  18,   3, 113062336, 113956544, 112731384, 113908416, 112619904
 16592,  16,  16384,  44144,  18,  18,   0, 107080544, 107960752, 112430392, 112536880, 112468728
 16593,  16,  16384,  19137,  18,  18,   0, 112707304, 112508480, 112472024, 111126760, 112698000
 16594,  16,  16384,   5396,  18,  19,   1, 112769496, 112292488, 112283952, 100822000, 112275936
 16595,  16,  16384,  37198,  19,   1,   3, 113606760, 111968888, 113381072, 113357632, 112558048
 16596,  16,  16384,  34799,   1,   0,   1, 114200552, 113710216, 113777528, 112749272, 113496536
 16597,  16,  16384,  23947,   0,  11,   3, 112285072, 113531984, 113794808, 113457768, 111828160
 16598,  16,  16384,  38396,  11,   8,   2, 111568808, 111351288, 111544496, 111506408, 113648568
 16599,  16,  16384,  43095,   8,  17,   3, 113654776, 113588240, 112496024, 113703592, 114693088
 16600,  16,  16384,  16875,  17,   1,   3, 116362912, 115917424, 115948016, 110076288, 113996552
 16601,  16,  16384,   9261,   1,   0,   1, 114145784, 113976688, 114029160, 107441392, 113823272
 16602,  16,  16384,  18966,   0,   1,   1, 113749208, 113763000, 113385336, 113551944, 114206488
 16603,  16,  16384,  15276,   1,   5,   2, 112951984, 113982480, 114017944, 113768184, 114221720
 16604,  16,  16384,   2584,   5,   4,   1, 113118584, 114052632, 113943040, 112980376, 113565864
 16605,  16,  16384,  17043,   4,   4,   0, 113834512, 113975056, 111303672, 113776912, 113713824
 16606,  16,  16384,  29592,   4,   4,   0, 113883528, 107655440, 113993504, 112582816, 114044848
 16607,  16,  16384,   6554,   4,   8,   3, 113815688, 113799712, 113917040, 113791608, 107957504
 16608,  16,  16384,  25982,   8,   9,   1, 112380640, 113463536, 113693392, 112675736, 114193696
 16609,  16,  16384,  49592,   9,   9,   0, 114014968, 113068896, 113696128, 111668360, 114137464
 16610,  16,  16384,  39894,   9,   8,   1, 114239752, 113003232, 113929880, 113917152, 112573384
 16611,  16,  16384,   4716,   8,  13,   3, 113856256, 112417312, 113729664, 113535752, 111797936
 16612,  16,  16384,   8117,  13,  12,   1, 114403544, 114127720, 114176856, 112700912, 113757824
 16613,  16,  16384,   4340,  12,  16,   2, 112394280, 113306656, 112969096, 113759576, 109600840
 16614,  16,  16384,  27779,  16,  19,   3, 115522608, 115272720, 115313400, 115549032, 112390304
 16615,  16,  16384,  36417,  19,  18,   1, 113268272, 111540992, 113290992, 113135920, 112614584
 16616,  16,  16384,  23612,  18,  19,   1, 112568424, 112484160, 111058144, 112429104, 113533152
 16617,  16,  16384,  41797,  19,  19,   0, 112108664, 107411440, 113151848, 111935184, 113278600
 16618,  16,  16384,  36403,  19,  18,   1, 113303312, 113323616, 113115160, 111740496, 111627208
 16619,  16,  16384,  41172,  18,  21,   2, 112503384, 111192056, 106765432, 112476776, 115973344
 16620,  16,  16384,   3940,  21,  21,   0, 115243664, 115241496, 115836784, 115613688, 113610176
 16621,  16,  16384,   4825,  21,  18,   2, 109737384, 115199808, 115936592, 115659736, 109738120
 16622,  16,  16384,  10694,  18,   0,   3, 112594000, 111672360, 112270792, 112542136, 112493128
 16623,  16,  16384,  32758,   0,   0,   0, 113934848, 112235736, 113522592, 112455832, 114072616
 16624,  16,  16384,  37658,   0,   0,   0, 113902832, 113831672, 113700576, 113504648, 113676112
 16625,  16,  16384,  24187,   0,   0,   0, 114036928, 112060128, 113579624, 112512992, 112953808
 16626,  16,  16384,  26446,   0,   1,   1, 113080216, 113973072, 113614104, 113606840, 114172744
 16627,  16,  16384,  49633,   1,   5,   2, 113195688, 114093824, 114107352, 110638344, 113084632
 16628,  16,  16384,  44854,   5,   2,   2, 113241832, 112687232, 107837296, 113995080, 110819272
 16629,  16,  16384,  33228,   2,   6,   3, 110963200, 110425336, 110586480, 109646368, 109959840
 16630,  16,  16384,  48290,   6,   7,   1, 110060752, 110158248, 109049992, 110070224, 111513104
 16631,  16,  16384,  25831,   7,   1,   3, 111719560, 111164768, 111418848, 111405200, 114289352
 16632,  16,  16384,  33696,   1,  15,   3, 114405072, 113775608, 112950232, 112757144, 110522808
 16633,  16,  16384,  47995,  15,  14,   1, 110417840, 111565184, 111443320, 111242472, 104920600
 16634,  16,  16384,  22135,  14,  14,   0, 110972776, 110775784, 110776504, 110383712, 109838640
 16635,  16,  16384,  20023,  14,  14,   0, 111075168, 108724704, 111096536, 111286264, 109896112
 16636,  16,  16384,   7487,  14,   3,   3, 111075976, 110750496, 104875456, 110804720, 108775616
 16637,  16,  16384,  34015,   3,   4,   2, 111414952, 111242448, 111384232, 110333424, 113883800
 16638,  16,  16384,  28288,   4,   3,   2, 113085536, 114033256, 113847296, 114238752, 111783760
 16639,  16,  16384,  34346,   3,   1,   2, 105366656, 110168824, 111835512, 111332296, 114138448
 16640,  16,  16384,  18198,   1,   1,   0, 114466440, 113606112, 112703968, 114218280, 114352168
 16641,  16,  16384,  25041,   1,   5,   2, 113981584, 114006600, 112988256, 114210144, 113679856
 16642,  16,  16384,  15957,   5,   0,   2, 113197552, 108756992, 111619064, 114030944, 113854904
 16643,  16,  16384,  23209,   0,  14,   3, 113544568, 113511040, 113504312, 112475552, 110990784
 16644,  16,  16384,  40028,  14,  14,   0, 109935088, 109972320, 110666208, 109836944, 110555368
 16645,  16,  16384,  34718,  14,  15,   1, 110532248, 110694128, 104861328, 110921976, 110962168
 16646,  16,  16384,   8593,  15,  22,   3, 111617840, 111674000, 111495592, 111661760, 112810872
 16647,  16,  16384,   2691,  22,  23,   1, 112395160, 112297952, 110866000, 112431280, 113300928
 16648,  16,  16384,  49811,  23,  22,   1, 110695352, 111923768, 113360456, 113230048, 104253288
 16649,  16,  16384,   3430,  22,  16,   3, 112481320, 112304696, 112679152, 112124048, 115832000
 16650,  16,  16384,  46756,  16,   7,   3, 115288464, 115554264, 115330296, 113934104, 111483280
 16651,  16,  16384,  10837,   7,   8,   2, 111595088, 111330944, 111546968, 104158736, 113713128
 16652,  16,  16384,  45625,   8,   0,   3, 113806720, 113478832, 113363152, 113557264, 107832904
 16653,  16,  16384,   1060,   0,  22,   3, 113645184, 112489920, 113585040, 113400992, 112723064
 16654,  16,  16384,  42645,  22,   6,   3, 112591712, 110834176, 112523424, 111300152, 110373264
 16655,  16,  16384,  42822,   6,   7,   1, 110184600, 110109032, 108915056, 110070080, 105450448
 16656,  16,  16384,  41293,   7,   6,   1, 111559840, 110315576, 111425256, 111478888, 110231272
 16657,  16,  16384,  30987,   6,   7,   1, 110222320, 110222824, 109935032, 109042832, 111169232
 16658,  16,  16384,  38564,   7,   3,   3, 111623968, 105157024, 110799896, 110753416, 111383608
 16659,  16,  16384,   3018,   3,   3,   0, 111545144, 109216472, 104124600, 111274608, 111526648
 16660,  16,  16384,  47951,   3,   5,   2, 111604896, 111291784, 111240448, 111347656, 114016336
 16661,  16,  16384,  48719,   5,   0,   2, 113952304, 114052088, 114395944, 113263120, 107780320
 16662,  16,  16384,   7754,   0,   0,   0, 114003520, 113215808, 112938320, 113098504, 112846640
 16663,  16,  16384,   5882,   0,   1,   1, 112307720, 113705584, 113588992, 113715096, 108026016
 16664,  16,  16384,  13828,   1,   1,   0, 112906192, 114037592, 113814240, 113722784, 114214832
 16665,  16,  16384,  23136,   1,   1,   0, 114217952, 112794704, 111703528, 113874024, 114043568
 16666,  16,  16384,  26778,   1,   1,   0, 114177736, 114013056, 112691248, 107809888, 113928088
 16667,  16,  16384,  48300,   1,   9,   3, 114039240, 113970808, 113921432, 112948344, 112924784
 16668,  16,  16384,   1317,   9,  12,   3, 114147616, 112782272, 114470168, 114073632, 114046880
 16669,  16,  16384,   2372,  12,  12,   0, 112737952, 113506672, 112621456, 113479272, 107591184
 16670,  16,  16384,  39079,  12,  12,   0, 113488504, 112046704, 113592816, 113669600, 113776520
 16671,  16,  16384,  37175,  12,   4,   3, 113971880, 113559904, 113548768, 112404936, 113223008
 16672,  16,  16384,  46515,   4,  15,   3, 113463024, 112613224, 113986000, 105177832, 111716104
 16673,  16,  16384,  21379,  15,  14,   1, 110572424, 111477640, 111489040, 111723616, 111387136
 16674,  16,  16384,   3124,  14,  13,   2, 111108568, 103675768, 110554472, 110264792, 112985744
 16675,  16,  16384,  10290,  13,   4,   3, 113135480, 113916096, 114138512, 108405112, 113955840
 16676,  16,  16384,  18126,   4,   4,   0, 113942904, 113608216, 113777408, 113556808, 111958184
 16677,  16,  16384,   5929,   4,   3,   2, 113790248, 113778856, 105350512, 113509592, 111066416
 16678,  16,  16384,   6770,   3,   4,   2, 110395496, 111476648, 111487440, 111252808, 114097448
 16679,  16,  16384,   4963,   4,  14,   3, 114263296, 113548616, 111406536, 113944176, 110854832
 16680,  16,  16384,  32520,  14,  14,   0, 111169016, 110787632, 110729328, 111076208, 111099608
 16681,  16,  16384,  18447,  14,  23,   3, 109973592, 110555720, 105075752, 109657152, 113237528
 16682,  16,  16384,  12316,  23,  21,   2, 110592864, 113181864, 112895816, 113216424, 116373720
 16683,  16,  16384,   2001,  21,  21,   0, 116173840, 115718248, 115685872, 114719472, 116262352
 16684,  16,  16384,  14736,  21,   8,   3, 115897624, 115950120, 115716592, 106992632, 113946360
 16685,  16,  16384,  19450,   8,   6,   2, 113779400, 113497360, 113445664, 113678536, 110169800
 16686,  16,  16384,    405,   6,  13,   3, 109199712, 108878976, 104532800, 109975464, 113200528
 16687,  16,  16384,   6736,  13,  12,   1, 112927768, 113941648, 113969920, 112873656, 113706192
 16688,  16,  16384,  27212,  12,  14,   2, 113882376, 113857424, 113562872, 113720552, 109895728
 16689,  16,  16384,   6428,  14,  15,   1, 111001496, 110813352, 111020064, 110996680, 111671968
 16690,  16,  16384,  26145,  15,  16,   2, 111130616, 110901792, 110447328, 111542208, 115454240
 16691,  16,  16384,  28636,  16,  13,   2, 115532072, 115092600, 115357504, 109764336, 113427968
 16692,  16,  16384,  31926,  13,  15,   2, 113150808, 114129000, 107937352, 114053664, 111454608
 16693,  16,  16384,  44361,  15,   1,   3, 111767848, 111555192, 110396744, 110562144, 114101728
 16694,  16,  16384,   8058,   1,   2,   2, 113254168, 113852696, 108070432, 112823864, 111123480
 16695,  16,  16384,  33133,   2,  15,   3, 108590304, 110765536, 110854816, 109610568, 110352664
 16696,  16,  16384,  22290,  15,   1,   3, 105550664, 111574272, 111351616, 111354960, 113930640
 16697,  16,  16384,  42158,   1,  23,   3, 112868672, 112797144, 113874360, 113939736, 111691952
 16698,  16,  16384,  38090,  23,   7,   3, 113478464, 106394944, 113213216, 113091512, 110908600
 16699,  16,  16384,  31869,   7,  11,   2, 105096544, 111428120, 111285392, 110934832, 111296672
 16700,  16,  16384,  38240,  11,   7,   2, 111882528, 111421144, 111526120, 109897848, 111470488
 16701,  16,  16384,  25590,   7,  15,   3, 111402552, 111144224, 103062552, 111333736, 110513352
 16702,  16,  16384,  31505,  15,  12,   2, 112036784, 111886480, 111655528, 111239752, 110510200
 16703,  16,  16384,  13861,  12,   9,   3, 113155720, 107549608, 113900376, 113662960, 108052840
 16704,  16,  16384,  17592,   9,  13,   3, 114275696, 113918216, 112889760, 114412976, 114140136
 16705,  16,  16384,  14462,  13,  12,   1, 114183464, 114042160, 112770784, 114097440, 113867696
 16706,  16,  16384,  14706,  12,  12,   0, 113775592, 113704176, 113540328, 113538872, 113787280
 16707,  16,  16384,  12185,  12,  12,   0, 113624408, 113512848, 113472648, 113793232, 111258184
 16708,  16,  16384,  17325,  12,  12,   0, 113490536, 112674936, 108294544, 113736312, 113683448
 16709,  16,  16384,  21018,  12,  23,   3, 113568424, 112963912, 112999864, 113370704, 113274520
 16710,  16,  16384,   2454,  23,  22,   1, 107649504, 113231344, 112050072, 113096664, 106875808
 16711,  16,  16384,  10670,  22,  23,   1, 112567696, 112352248, 112203128, 112462152, 113344632
 16712,  16,  16384,  33370,  23,  23,   0, 113558128, 113392080, 113032776, 112330224, 112096232
 16713,  16,  16384,   2752,  23,  22,   1, 112054904, 111993584, 113245464, 113078384, 112715248
 16714,  16,  16384,   2824,  22,  18,   2, 112391048, 112414048, 112511072, 111336144, 110481176
 16715,  16,  16384,  14537,  18,  18,   0, 112694992, 111780272, 111543768, 112374920, 112559352
 16716,  16,  16384,  13543,  18,  22,   2, 112554264, 112530680, 112451776, 112261504, 112545272
 16717,  16,  16384,  40889,  22,  23,   1, 112601448, 110049752, 111065440, 112151456, 112264120
 16718,  16,  16384,  32449,  23,  22,   1, 113505432, 113391368, 111802776, 113367560, 112609712
 16719,  16,  16384,   4236,  22,  23,   1, 112399960, 112438648, 109896400, 111093192, 112293696
 16720,  16,  16384,  25944,  23,  23,   0, 106293368, 112012376, 113298344, 113498872, 111793352
 16721,  16,  16384,   4221,  23,  23,   0, 113377288, 113026096, 113250072, 113364592, 113241544
 16722,  16,  16384,  15958,  23,  19,   2, 113329432, 112045416, 113160760, 110871576, 113115168
 16723,  16,  16384,  30091,  19,  19,   0, 113307056, 111891552, 113089768, 112836768, 113488040
 16724,  16,  16384,  47420,  19,  15,   3, 113344296, 113226136, 113197448, 111892288, 104923048
 16725,  16,  16384,  33735,  15,  14,   1, 111058560, 111510808, 111347120, 111348288, 111320024
 16726,  16,  16384,  18490,  14,  16,   2, 111220464, 109750896, 109982272, 110839176, 114509800
 16727,  16,  16384,  43270,  16,  17,   1, 115482784, 115243528, 115444088, 115514336, 116040944
 16728,  16,  16384,  35771,  17,  17,   0, 116387056, 116068752, 114446040, 115876824, 110054304
 16729,  16,  16384,  38844,  17,  14,   2, 115785816, 115731544, 114821920, 115718416, 111255648
 16730,  16,  16384,  31234,  14,  12,   2, 111174216, 110869376, 109674928, 110987464, 113850624
 16731,  16,  16384,  12693,  12,  13,   1, 112931032, 105747040, 113836576, 113633880, 114278160
 16732,  16,  16384,  15339,  13,  13,   0, 111745864, 110560144, 113880248, 114066608, 114004632
 16733,  16,  16384,  15903,  13,  12,   1, 113065016, 113962824, 113059024, 113978344, 114014024
 16734,  16,  16384,  31104,  12,   1,   3, 113902776, 113702856, 113699904, 113664200, 114190064
 16735,  16,  16384,  45104,   1,   1,   0, 114365200, 113983168, 107485240, 114098632, 112577936
 16736,  16,  16384,  40670,   1,   1,   0, 112978224, 113962392, 113048264, 114303752, 113132680
 16737,  16,  16384,   9681,   1,  19,   3, 114248360, 114027288, 114072872, 113955552, 111766320
 16738,  16,  16384,  12737,  19,  19,   0, 112034640, 113427264, 113238344, 112980616, 113584832
 16739,  16,  16384,  33863,  19,  21,   2, 113388696, 113371888, 113065944, 111769880, 115788112
 16740,  16,  16384,  41940,  21,  20,   1, 114861888, 115779248, 115967128, 110246008, 115496072
 16741,  16,  16384,   5645,  20,   2,   3, 115484760, 115486848, 115320552, 114099920, 109597808
 16742,  16,  16384,  15999,   2,   1,   2, 111116240, 110156392, 109836880, 109431416, 114039552
 16743,  16,  16384,  21892,   1,   5,   2, 112887536, 113879816, 112758928, 114036352, 113056872
 16744,  16,  16384,  12679,   5,   4,   1, 113314048, 113562656, 108036824, 113699320, 113590392
 16745,  16,  16384,   3873,   4,   5,   1, 112247520, 113961152, 113850240, 113731856, 113172496
 16746,  16,  16384,  28244,   5,   1,   2, 114507912, 113711136, 112796592, 112516136, 114010696
 16747,  16,  16384,  35993,   1,   4,   2, 113997424, 114182048, 113678928, 113896480, 113955288
 16748,  16,  16384,  22587,   4,  15,   3, 114087752, 113904280, 112384552, 112646264, 109160560
 16749,  16,  16384,  19338,  15,  19,   3, 111442904, 105510024, 111463512, 111383048, 113448032
 16750,  16,  16384,  24975,  19,  20,   2, 113733888, 113311656, 112988432, 113231144, 113401256
 16751,  16,  16384,  34263,  20,  23,   2, 115568192, 114043144, 115352488, 115111208, 113367200
 16752,  16,  16384,  27725,  23,  22,   1, 107755296, 113356272, 113373224, 113108888, 111346208
 16753,  16,  16384,   5196,  22,  23,   1, 112607688, 112470568, 112499064, 112499016, 110828104
 16754,  16,  16384,  41893,  23,  21,   2, 113094088, 113231648, 113135784, 107585048, 109030544
 16755,  16,  16384,  20366,  21,   9,   3, 115968680, 115676440, 114651392, 114873864, 114282728
 16756,  16,  16384,  49786,   9,   9,   0, 114172472, 113730080, 113982992, 113965312, 113169920
 16757,  16,  16384,  33669,   9,   5,   3, 114189304, 106230872, 114016368, 113942472, 113928544
 16758,  16,  16384,  40510,   5,   3,   2, 114443584, 113816648, 113879568, 113746400, 110465320
 16759,  16,  16384,  47017,   3,   2,   1, 111276160, 111527520, 111409024, 111317240, 110737920
 16760,  16,  16384,  38909,   2,   2,   0, 110972160, 110582104, 108290088, 110571080, 110879608
 16761,  16,  16384,  24117,   2,   3,   1, 109541704, 110876112, 106776752, 107699736, 110372304
 16762,  16,  16384,   4552,   3,   5,   2, 111439792, 105244536, 111577608, 108645896, 114093184
 16763,  16,  16384,    611,   5,   5,   0, 114183056, 114145488, 114052408, 108938960, 112835464
 16764,  16,  16384,  17200,   5,  11,   3, 112837352, 112932832, 112833752, 113895104, 111381528
 16765,  16,  16384,  22630,  11,   9,   2, 105682944, 111535192, 111305248, 111434808, 114334376
 16766,  16,  16384,  22251,   9,   9,   0, 114375336, 112731560, 112790528, 114112728, 112994280
 16767,  16,  16384,   6112,   9,  10,   2, 114066544, 113964424, 114033520, 112899344, 111064104
 16768,  16,  16384,  37032,  10,   9,   2, 110528760, 110147848, 109828720, 111004608, 112974024
 16769,  16,  16384,  45108,   9,  11,   2, 114176000, 107716992, 112797280, 114152344, 111570152
 16770,  16,  16384,  17870,  11,   8,   2, 111961064, 110558376, 111447240, 110376368, 107893976
 16771,  16,  16384,  29378,   8,   8,   0, 112798592, 113672360, 112321240, 113713528, 114120384
 16772,  16,  16384,  16109,   8,   8,   0, 113808024, 112550488, 113089552, 113524480, 113996024
 16773,  16,  16384,  24036,   8,   8,   0, 112843312, 113659992, 113755352, 105808016, 112971296
 16774,  16,  16384,  27648,   8,   9,   1, 113757464, 113636616, 113821344, 113879728, 114063520
 16775,  16,  16384,   4714,   9,   8,   1, 114262744, 112850712, 114382936, 113831552, 112741688
 16776,  16,  16384,  29366,   8,   8,   0, 107713776, 112633304, 113555856, 113879464, 113885424
 16777,  16,  16384,  30941,   8,  18,   3, 113894256, 112632024, 113903120, 114013144, 112790840
 16778,  16,  16384,  14432,  18,  19,   1, 111325656, 111367408, 111280224, 112425712, 113072424
 16779,  16,  16384,  26759,  19,  23,   2, 111892120, 113408656, 112765624, 113051136, 113350320
 16780,  16,  16384,  44375,  23,  22,   1, 113580336, 110705328, 113143160, 112978288, 112478840
 16781,  16,  16384,  49313,  22,  23,   1, 112572920, 112274984, 112539128, 112468056, 113381008
 16782,  16,  16384,  43507,  23,   7,   3, 113548352, 112504040, 111066600, 113405352, 110225272
 16783,  16,  16384,   1633,   7,  13,   3, 110268024, 111765808, 111239008, 105408200, 114136552
 16784,  16,  16384,  24519,  13,  12,   1, 113364384, 114292768, 114146632, 113948688, 112673832
 16785,  16,  16384,  30699,  12,  12,   0, 112587744, 113670880, 113527176, 113516816, 113972392
 16786,  16,  16384,  19664,  12,  16,   2, 113998352, 113418704, 110216560, 109120064, 114212272
 16787,  16,  16384,  40741,  16,  23,   3, 115475808, 115008800, 113589680, 115330368, 112938528
 16788,  16,  16384,  17874,  23,  22,   1, 112578360, 113443944, 113301448, 113057296, 111277120
 16789,  16,  16384,  43020,  22,   5,   3, 112953696, 111405272, 111301592, 112415784, 114183264
 16790,  16,  16384,  26299,   5,   4,   1, 112637480, 111977008, 114194872, 114198480, 113787992
 16791,  16,  16384,  22303,   4,   5,   1, 111970992, 113227376, 113043824, 114066496, 112996704
 16792,  16,  16384,  23443,   5,   5,   0, 114011520, 114074536, 111901496, 112821840, 114006840
 16793,  16,  16384,   6778,   5,   2,   2, 114198328, 107848776, 113878472, 114068472, 111320640
 16794,  16,  16384,  40996,   2,   0,   2, 111038544, 110782248, 110903256, 109510072, 110386720
 16795,  16,  16384,  17114,   0,   0,   0, 109970168, 113547096, 113840896, 112360744, 112249104
 16796,  16,  16384,  47034,   0,   9,   3, 112909696, 113160456, 113599128, 113466048, 113169024
 16797,  16,  16384,  37568,   9,   6,   2, 113200016, 107923616, 114025856, 113922872, 110168832
 16798,  16,  16384,  46872,   6,   8,   2, 109211360, 110255224, 110530776, 110118416, 114037456
 16799,  16,  16384,  20369,   8,   9,   1, 113728224, 113821888, 114000760, 111538088, 113005256
 16800,  16,  16384,  21408,   9,   8,   1, 114140000, 114061048, 113999320, 113984160, 113639136
 16801,  16,  16384,  40058,   8,   9,   1, 113296864, 113632648, 113915688, 113773800, 114237576
 16802,  16,  16384,    729,   9,  10,   2, 112827928, 114120672, 114205056, 114107416, 110789720
 16803,  16,  16384,   8851,  10,   6,   2, 110904728, 110607664, 111021864, 108558200, 110404024
 16804,  16,  16384,  16703,   6,   6,   0, 110281520, 109800664, 110196160, 108785568, 108999448
 16805,  16,  16384,  49353,   6,   9,   2, 110169536, 110228864, 108765344, 109931584, 113823304
 16806,  16,  16384,  39410,   9,   9,   0, 112700800, 114278632, 113453296, 107674128, 114106760
 16807,  16,  16384,  30993,   9,   8,   1, 114288464, 113847136, 114055280, 114225832, 113706400
 16808,  16,  16384,   7397,   8,   9,   1, 113629512, 113794752, 113744408, 113881048, 112901800
 16809,  16,  16384,  19201,   9,   2,   3, 107209008, 114187312, 114123664, 114219632, 110972744
 16810,  16,  16384,  37740,   2,   5,   2, 110834384, 111007888, 110797304, 109233152, 112533904
 16811,  16,  16384,  24889,   5,  12,   3, 114240504, 112843448, 104725288, 113963336, 112485360
 16812,  16,  16384,  36574,  12,   8,   3, 112649472, 113624144, 113437848, 113284048, 107701696
 16813,  16,  16384,  42810,   8,   9,   1, 113521032, 113695312, 112453240, 112396160, 114174888
 16814,  16,  16384,  23878,   9,   1,   3, 114377480, 114333192, 114059472, 114198160, 114078568
 16815,  16,  16384,  20356,   1,   5,   2, 114294920, 114018840, 113377688, 113327848, 114278232
 16816,  16,  16384,  15632,   5,   5,   0, 111950288, 114153416, 113754592, 114037584, 114313960
 16817,  16,  16384,  48227,   5,   4,   1, 106691112, 113980456, 114170928, 114294920, 113781208
 16818,  16,  16384,   1219,   4,   5,   1, 112861224, 113640784, 113853560, 107651848, 114122648
 16819,  16,  16384,  45427,   5,   7,   3, 114421424, 112870176, 107929448, 113883016, 111565248
 16820,  16,  16384,   7817,   7,   6,   1, 111395384, 110117856, 105189120, 111167472, 110014104
 16821,  16,  16384,   8554,   6,  10,   2, 110063352, 110138144, 110116320, 110066464, 110567584
 16822,  16,  16384,  12575,  10,   7,   2, 111081312, 110957048, 110835696, 104927160, 105453400
 16823,  16,  16384,  31916,   7,  10,   2, 111351224, 111219584, 111197576, 111520072, 110829736
 16824,  16,  16384,  36457,  10,   6,   2, 111166160, 109937344, 110909936, 110803480, 110227200
 16825,  16,  16384,  23946,   6,   6,   0, 108628800, 109536984, 103972104, 110044608, 110279992
 16826,  16,  16384,  26542,   6,   9,   2, 110187192, 109983496, 109880376, 108963784, 114186488
 16827,  16,  16384,   2542,   9,   8,   1, 114130968, 113965064, 113382272, 113545784, 112845648
 16828,  16,  16384,  41460,   8,   8,   0, 112907960, 113914464, 113913120, 112547568, 110186824
 16829,  16,  16384,  47199,   8,  10,   2, 111510640, 113650120, 113656208, 113721568, 110683640
 16830,  16,  16384,  27696,  10,   1,   3, 110030728, 110782832, 111095224, 110770016, 114149568
 16831,  16,  16384,  40461,   1,   0,   1, 113871640, 113968024, 113735768, 112936568, 113557872
 16832,  16,  16384,  24837,   0,  15,   3, 113675640, 112242368, 113596192, 105189680, 111147392
 16833,  16,  16384,  15640,  15,   6,   3, 105779600, 111627360, 111585592, 111411288, 109077312
 16834,  16,  16384,  34860,   6,  22,   3, 110197488, 109167304, 108562552, 104220864, 112419448
 16835,  16,  16384,  34703,  22,  20,   2, 112504384, 112404408, 112331240, 112248376, 115818760
 16836,  16,  16384,  22417,  20,  20,   0, 115246016, 115370200, 115080440, 115475344, 115321672
 16837,  16,  16384,  23473,  20,   5,   3, 109705864, 112828816, 115483672, 115276056, 114100680
 16838,  16,  16384,   5313,   5,   5,   0, 114296688, 107659912, 112210136, 113952120, 113926496
 16839,  16,  16384,  46866,   5,  23,   3, 111620864, 113986888, 113840968, 112781808, 113523896
 16840,  16,  16384,  31567,  23,  18,   2, 113278480, 113078248, 112018152, 113270768, 112608616
 16841,  16,  16384,  38980,  18,  18,   0, 104547464, 111927376, 111311096, 112434056, 112608408
 16842,  16,  16384,  48363,  18,   9,   3, 112817072, 112254152, 112348648, 112351712, 111787088
 16843,  16,  16384,  22140,   9,   9,   0, 114663800, 113838480, 114087160, 106844504, 114345336
 16844,  16,  16384,  28663,   9,   9,   0, 112861760, 113700824, 113950712, 113906832, 114132512
 16845,  16,  16384,  40580,   9,   6,   2, 114344800, 111782624, 113974424, 114033120, 109967448
 16846,  16,  16384,  40578,   6,  20,   3, 109978952, 110337704, 110348296, 109939456, 115855160
 16847,  16,  16384,  47848,  20,  22,   2, 115344016, 115276600, 115325128, 115524552, 111561928
 16848,  16,  16384,   7533,  22,  23,   1, 112464416, 112382288, 111184248, 112552176, 112332440
 16849,  16,  16384,   6587,  23,   2,   3, 113678360, 113287352, 113416616, 113119656, 109862568
 16850,  16,  16384,   7234,   2,   3,   1, 111053160, 110568736, 110618272, 110958800, 110091104
 16851,  16,  16384,  28363,   3,   2,   1, 111684176, 110919816, 111421672, 111617200, 110547376
 16852,  16,  16384,  27297,   2,   2,   0, 109896744, 109498512, 110974560, 110989800, 111012672
 16853,  16,  16384,  48031,   2,   5,   2, 110837416, 110855960, 108658152, 105470632, 114183600
 16854,  16,  16384,  22584,   5,   4,   1, 108168080, 114093280, 112830504, 113870776, 113653016
 16855,  16,  16384,  16268,   4,   5,   1, 113059592, 113667760, 112643608, 113836208, 113794592
 16856,  16,  16384,  27936,   5,  20,   3, 114382216, 114127496, 109436928, 112009848, 115580824
 16857,  16,  16384,  30368,  20,  23,   2, 115563304, 114149240, 115345752, 115466760, 113189912
 16858,  16,  16384,  13294,  23,  20,   2, 113508472, 113206048, 113030528, 111980904, 115319512
 16859,  16,  16384,  15819,  20,  20,   0, 115301560, 115706424, 115358032, 114278936, 115632944
 16860,  16,  16384,  21001,  20,  19,   2, 115697960, 115218976, 109039088, 113025336, 112254976
 16861,  16,  16384,  16475,  19,  22,   2, 112129856, 113211456, 111819816, 113448608, 112480160
 16862,  16,  16384,  17240,  22,  23,   1, 111324536, 112739784, 111067480, 112743648, 113469112
 16863,  16,  16384,  36571,  23,   4,   3, 113320008, 111892536, 105827704, 113304208, 113890864
 16864,  16,  16384,  44819,   4,   4,   0, 114037792, 112667232, 113865360, 113603088, 113976408
 16865,  16,  16384,  37766,   4,   4,   0, 110480376, 108463712, 114031248, 113611920, 113588440
 16866,  16,  16384,  23191,   4,   5,   1, 112495656, 113777808, 113905552, 112820744, 114302352
 16867,  16,  16384,  40974,   5,   4,   1, 114172224, 112783864, 114108208, 108014536, 114064536
 16868,  16,  16384,  17201,   4,  13,   3, 113847088, 113582008, 112469160, 113694712, 114232832
 16869,  16,  16384,  24620,  13,  14,   2, 113335488, 114103296, 113975624, 112886480, 110030528
 16870,  16,  16384,   7322,  14,  19,   3, 109956688, 111129400, 111114576, 111059416, 113649992
 16871,  16,  16384,   4571,  19,   7,   3, 113255664, 113240536, 113181592, 112965280, 111125768
 16872,  16,  16384,  32971,   7,   9,   2, 105452064, 110585168, 111246776, 111405704, 114355456
 16873,  16,  16384,  25869,   9,  10,   2, 114590216, 114016568, 113944304, 114154000, 111080992
 16874,  16,  16384,   6884,  10,  11,   1, 110819776, 110690360, 110830520, 110779968, 111722000
 16875,  16,  16384,  47787,  11,   2,   3, 110310800, 111579448, 111004064, 110188568, 110965856
 16876,  16,  16384,   5108,   2,   4,   2, 110941128, 110728584, 110907160, 110742192, 104975384
 16877,  16,  16384,  21198,   4,   4,   0, 113705264, 113107104, 113598984, 113330472, 112861936
 16878,  16,  16384,  42650,   4,  13,   3, 112579872, 113949288, 113946224, 113675592, 114179704
 16879,  16,  16384,  39626,  13,  12,   1, 111769144, 112812792, 114094000, 113992064, 113881648
 16880,  16,  16384,  29041,  12,  13,   1, 113992960, 110685384, 109440208, 113325320, 113267224
 16881,  16,  16384,   7247,  13,  12,   1, 114423928, 113002152, 112023792, 114236208, 113653472
 16882,  16,  16384,  29790,  12,  13,   1, 112749096, 113912560, 113733480, 112593264, 108116608
 16883,  16,  16384,  41667,  13,  15,   2, 114072248, 113920784, 112898472, 112905696, 111387144
 16884,  16,  16384,  21323,  15,  15,   0, 110341728, 110309896, 111460248, 111462584, 111613032
 16885,  16,  16384,  36060,  15,   5,   3, 105472056, 110705728, 110801232, 111403960, 112618488
 16886,  16,  16384,  30863,   5,   4,   1, 113096576, 114048816, 114010376, 113982984, 113766920
 16887,  16,  16384,  48906,   4,   3,   2, 112703368, 111991664, 113554536, 113826344, 111374272
 16888,  16,  16384,  26216,   3,   2,   1, 111361832, 111228752, 111423560, 110961408, 105016576
 16889,  16,  16384,   9173,   2,   2,   0, 111000128, 110481416, 110435624, 110557568, 110813144
 16890,  16,  16384,  11613,   2,   3,   1, 109508336, 110616200, 109804008, 108133832, 111660432
 16891,  16,  16384,    872,   3,   2,   1, 104264096, 111184768, 111121176, 111365584, 110775224
 16892,  16,  16384,   4379,   2,   3,   1, 110561584, 110769472, 110812224, 109744320, 111183080
 16893,  16,  16384,   1620,   3,   3,   0, 111334960, 111261736, 111488928, 111293624, 103364152
 16894,  16,  16384,  15483,   3,   2,   1, 111579168, 111538320, 110187376, 109323624, 111281096
 16895,  16,  16384,   2734,   2,   2,   0, 109540392, 110845312, 110448472, 107466856, 111185472
 16896,  16,  16384,   9820,   2,   0,   2, 110749064, 110592464, 110418592, 110327104, 111166032
 16897,  16,  16384,  36393,   0,   5,   2, 107718936, 113717368, 113788464, 113597264, 113971456
 16898,  16,  16384,  36943,   5,   4,   1, 112785768, 113933200, 114041912, 113764080, 107903328
 16899,  16,  16384,  49697,   4,   5,   1, 111283088, 112621960, 113816696, 113781592, 111581640
 16900,  16,  16384,  39015,   5,   5,   0, 114212288, 113825272, 112689200, 114209392, 114328976
 16901,  16,  16384,  28606,   5,   4,   1, 114105416, 113678384, 112988344, 114048224, 114037448
 16902,  16,  16384,  36868,   4,   5,   1, 114120232, 113817760, 113591352, 113623120, 114092256
 16903,  16,  16384,  45563,   5,   4,   1, 114080912, 113794432, 114070552, 113104680, 114118984
 16904,  16,  16384,  30957,   4,   3,   2, 113990200, 113599040, 113796464, 113713112, 110161632
 16905,  16,  16384,  35038,   3,   1,   2, 111457240, 111333624, 108952224, 110225480, 114215736
 16906,  16,  16384,   5859,   1,   0,   1, 114188208, 107828672, 114124704, 112404992, 113924088
 16907,  16,  16384,  38532,   0,   5,   2, 113714688, 113588136, 112488944, 113682056, 113917960
 16908,  16,  16384,  33701,   5,   1,   2, 112820776, 114185264, 114145360, 113817008, 113109504
 16909,  16,  16384,  24988,   1,   0,   1, 114311952, 112557664, 114005624, 107384888, 114068752
 16910,  16,  16384,  32319,   0,  22,   3, 112347800, 113133840, 113838568, 112536736, 112867344
 16911,  16,  16384,  23801,  22,  22,   0, 106892080, 112248864, 112205208, 112267016, 112185800
 16912,  16,  16384,  10531,  22,  22,   0, 112606480, 111323776, 111380760, 112360640, 111601464
 16913,  16,  16384,  42268,  22,  22,   0, 112593272, 112412224, 112323336, 112361496, 112480328
 16914,  16,  16384,  40637,  22,  16,   3, 112133752, 111500512, 112341656, 111172968, 115445392
 16915,  16,  16384,  35163,  16,   9,   3, 112762344, 112001944, 114326088, 115355744, 114059264
 16916,  16,  16384,  32059,   9,   9,   0, 112075232, 113982840, 113963624, 113086760, 114034168
 16917,  16,  16384,  48732,   9,  18,   3, 114303632, 113211344, 114075296, 114085408, 112604024
 16918,  16,  16384,   3373,  18,  19,   1, 112567616, 112319264, 111332472, 112461008, 113568048
 16919,  16,  16384,  11832,  19,  19,   0, 112898576, 113187360, 113191712, 113160512, 112264240
 16920,  16,  16384,   2170,  19,  19,   0, 113400240, 112112680, 112821320, 113203696, 109633176
 16921,  16,  16384,  12208,  19,   0,   3, 108600600, 113248640, 112913616, 113202240, 113906280
 16922,  16,  16384,  46887,   0,   5,   2, 112609864, 112516368, 107617904, 113623040, 114290888
 16923,  16,  16384,  18885,   5,   5,   0, 114143952, 112819968, 112960416, 112540040, 114242072
 16924,  16,  16384,  35507,   5,   4,   1, 113963720, 108072600, 113870312, 114024600, 113916920
 16925,  16,  16384,  45865,   4,   5,   1, 113832072, 113465360, 113752560, 113565768, 112951328
 16926,  16,  16384,  12899,   5,   5,   0, 114447672, 114510768, 112288776, 109823352, 114503208
 16927,  16,  16384,  34316,   5,   3,   2, 113983880, 112770704, 114140728, 113710080, 111797448
 16928,  16,  16384,  38726,   3,   1,   2, 111431128, 111429560, 110202848, 111443456, 114229760
 16929,  16,  16384,  25115,   1,  21,   3, 114287184, 113859504, 112792504, 113985576, 115656240
 16930,  16,  16384,  24728,  21,  20,   1, 115972144, 114505680, 115709696, 115773880, 115462968
 16931,  16,  16384,  42699,  20,  20,   0, 111339320, 113829440, 115471456, 115287584, 115582192
 16932,  16,  16384,   5879,  20,  13,   3, 114353264, 115338584, 114273728, 113948760, 113941544
 16933,  16,  16384,   9187,  13,  12,   1, 113016608, 113058744, 113748320, 113513248, 113834912
 16934,  16,  16384,  31765,  12,  13,   1, 114181640, 113648600, 113471160, 112499280, 111966832
 16935,  16,  16384,   6908,  13,  13,   0, 110448184, 113914184, 114124296, 111728928, 114264824
 16936,  16,  16384,   5832,  13,  15,   2, 113300800, 114327136, 113952320, 113960088, 110185376
 16937,  16,  16384,  48904,  15,  14,   1, 111856584, 111254560, 111749800, 109303720, 111111992
 16938,  16,  16384,  41886,  14,   2,   3, 110859728, 109658560, 110851104, 111018552, 110746152
 16939,  16,  16384,   7753,   2,   1,   2, 110452096, 107448776, 110334696, 109829208, 113728792
 16940,  16,  16384,  42485,   1,   0,   1, 113853544, 109421176, 110769008, 114075688, 113661472
 16941,  16,  16384,  40848,   0,   1,   1, 114027936, 113565744, 107351752, 113447392, 113840976
 16942,  16,  16384,   8051,   1,   3,   2, 113036344, 114345480, 113919872, 106173288, 111634416
 16943,  16,  16384,  49601,   3,   3,   0, 110631952, 111438080, 111499672, 110105056, 110711464
 16944,  16,  16384,   5010,   3,   3,   0, 111552400, 104014312, 111392160, 111402080, 111602576
 16945,  16,  16384,  12389,   3,   0,   2, 111488344, 111264288, 110315592, 111491208, 113771464
 16946,  16,  16384,  30506,   0,  17,   3, 107577272, 112381488, 113413144, 113440912, 115952216
 16947,  16,  16384,    740,  17,  17,   0, 116302936, 114697048, 114722928, 115716000, 113641608
 16948,  16,  16384,  26684,  17,  17,   0, 112911560, 116003120, 114194144, 115908256, 115811352
 16949,  16,  16384,  15453,  17,  14,   2, 114696912, 115827680, 115695912, 114640064, 110814456
 16950,  16,  16384,  41374,  14,  14,   0, 110935320, 104974704, 110791448, 108346560, 111159720
 16951,  16,  16384,  37932,  14,  15,   1, 110777304, 109753816, 110822608, 110773840, 111749088
 16952,  16,  16384,  40849,  15,  15,   0, 105585168, 111658560, 110264248, 111606600, 110407048
 16953,  16,  16384,  36820,  15,   8,   3, 111539000, 110491776, 111432040, 110381840, 112486096
 16954,  16,  16384,  21891,   8,   8,   0, 113557488, 113413856, 113418376, 112214952, 114165704
 16955,  16,  16384,   8801,   8,   9,   1, 113886512, 111584136, 113467600, 113814344, 114051144
 16956,  16,  16384,  31214,   9,   9,   0, 114307800, 112840168, 114363680, 113365192, 114314032
 16957,  16,  16384,  37339,   9,   8,   1, 113349832, 114302376, 112987176, 107994232, 113865624
 16958,  16,  16384,  24569,   8,  11,   2, 113796112, 113644352, 113727144, 106466552, 110347576
 16959,  16,  16384,   3720,  11,  11,   0, 105653056, 111387200, 111586600, 111612720, 109546656
 16960,  16,  16384,  17847,  11,  19,   3, 111679336, 111565144, 111596416, 110533496, 113126648
 16961,  16,  16384,  49322,  19,  19,   0, 113664328, 113107056, 112042752, 112022088, 113356768
 16962,  16,  16384,  10611,  19,  19,   0, 113340928, 112133608, 107539536, 113078800, 113222928
 16963,  16,  16384,  43969,  19,  18,   1, 112021888, 112788208, 113137056, 112936912, 112673016
 16964,  16,  16384,  41233,  18,  18,   0, 106790208, 112210080, 111993144, 111397016, 111215856
 16965,  16,  16384,   7472,  18,  19,   1, 112759544, 112215896, 111156616, 112213240, 112225000
 16966,  16,  16384,  17141,  19,   9,   3, 112591584, 112923552, 113316896, 113246008, 113943640
 16967,  16,  16384,  19825,   9,   9,   0, 114174168, 114125136, 112962752, 113829232, 112881080
 16968,  16,  16384,    862,   9,   8,   1, 114608320, 114075072, 113951504, 113973952, 111167968
 16969,  16,  16384,  48364,   8,  15,   3, 113924696, 113674768, 114001688, 113609272, 106939968
 16970,  16,  16384,  27972,  15,  17,   2, 111386200, 111258560, 110442584, 111656392, 115768632
 16971,  16,  16384,  11647,  17,   8,   3, 116397168, 115820680, 114631632, 109979776, 113504480
 16972,  16,  16384,  24692,   8,  10,   2, 113558560, 110692368, 110425272, 112615720, 111036808
 16973,  16,  16384,  12018,  10,   7,   2, 110912696, 110834128, 109794552, 110556048, 110334960
 16974,  16,  16384,  37939,   7,   7,   0, 111561296, 110649016, 110448440, 111447144, 105518192
 16975,  16,  16384,  45579,   7,   8,   2, 111463720, 110995696, 111260704, 111445576, 113785712
 16976,  16,  16384,  34942,   8,  11,   2, 113686000, 113662984, 113826840, 113853152, 111655112
 16977,  16,  16384,  18259,  11,  10,   1, 111444640, 110738952, 110635120, 111616656, 109942272
 16978,  16,  16384,  24937,  10,  11,   1, 111161272, 109593536, 109564792, 110647936, 110395840
 16979,  16,  16384,  44797,  11,  10,   1, 111587408, 111279000, 110542688, 111573560, 110991208
 16980,  16,  16384,   8555,  10,   6,   2, 111080664, 109699080, 110323944, 109222704, 110463808
 16981,  16,  16384,  36076,   6,   7,   1, 110120048, 108907776, 110124808, 109190448, 111601584
 16982,  16,  16384,  14227,   7,   7,   0, 111676120, 111469376, 111337624, 111412216, 110271000
 16983,  16,  16384,  29014,   7,   5,   3, 109376432, 111407416, 111331480, 111664192, 114116672
 16984,  16,  16384,  23991,   5,  20,   3, 114359336, 112740336, 114011008, 114051064, 108660800
 16985,  16,  16384,  37228,  20,  21,   1, 115696648, 115477912, 114361896, 115357600, 108872696
 16986,  16,  16384,  48248,  21,  19,   2, 116112744, 115886136, 114908080, 114424216, 113479528
 16987,  16,  16384,  38419,  19,  21,   2, 113269976, 113201896, 110932304, 113327616, 116091672
 16988,  16,  16384,  28499,  21,  21,   0, 114512616, 110028136, 115686712, 114664152, 115976592
 16989,  16,  16384,  46828,  21,  22,   2, 115727008, 115677296, 114660880, 115845672, 112822544
 16990,  16,  16384,  13568,  22,  20,   2, 109937160, 112555392, 112442320, 106877000, 115802688
 16991,  16,  16384,  42068,  20,  14,   3, 115412960, 114561144, 113659656, 109658824, 110867648
 16992,  16,  16384,   3862,  14,  11,   3, 110988224, 109560808, 103684560, 111035048, 111722192
 16993,  16,  16384,   5835,  11,  10,   1, 111762488, 111476312, 111600672, 111453584, 110807184
 16994,  16,  16384,  25864,  10,  22,   3, 110075720, 110934208, 110686728, 110774232, 111394416
 16995,  16,  16384,    310,  22,  22,   0, 112539752, 112305760, 111195736, 106607632, 111192448
 16996,  16,  16384,  38181,  22,  12,   3, 112726016, 112576032, 112412472, 111336792, 113683120
 16997,  16,  16384,  10720,  12,   3,   3, 113796320, 113671968, 112495360, 113525224, 111332320
 16998,  16,  16384,  14776,   3,  13,   3, 111547640, 111510504, 111400440, 111357088, 114193816
 16999,  16,  16384,  48236,  13,  18,   3, 114006072, 113963952, 112936376, 114078456, 111301344
 17000,  16,  16384,   4988,  18,   9,   3, 112747800, 112067632, 111772456, 112290216, 114260168
 17001,  16,  16384,  28004,   9,  12,   3, 114396632, 113984232, 114360512, 114065040, 114034744
 17002,  16,  16384,  20293,  12,   0,   3, 112576568, 113608248, 113754256, 113706784, 113987288
 17003,  16,  16384,   7263,   0,  10,   3, 109392656, 111840024, 113594304, 110332536, 110909520
 17004,  16,  16384,  33128,  10,   9,   2, 109993304, 111020088, 110911808, 104716504, 113211880
 17005,  16,  16384,  33438,   9,   3,   3, 113864144, 114258496, 113935568, 113808488, 107166128
 17006,  16,  16384,  32170,   3,   5,   2, 110402680, 111377112, 111403376, 109041768, 112875368
 17007,  16,  16384,  10864,   5,   2,   2, 113932176, 112747264, 113850760, 114021280, 109915600
 17008,  16,  16384,  42350,   2,   3,   1, 109692208, 109549216, 110998760, 107796280, 109086528
 17009,  16,  16384,  31570,   3,   8,   3, 111747608, 111591856, 111463816, 111419008, 113476728
 17010,  16,  16384,  19944,   8,  16,   3, 112644056, 112141032, 108763384, 111302376, 115730792
 17011,  16,  16384,  19208,  16,  16,   0, 115595304, 115408992, 113806760, 109870168, 115517768
 17012,  16,  16384,  26665,  16,  16,   0, 115657616, 115210600, 114052496, 115337280, 115178272
 17013,  16,  16384,  21250,  16,  16,   0, 114537072, 115251168, 115225552, 115621488, 114901144
 17014,  16,  16384,   9925,  16,  17,   1, 115692672, 109598192, 115406000, 115553864, 116055360
 17015,  16,  16384,  12930,  17,  23,   3, 116411344, 114714856, 115970256, 114496280, 113360800
 17016,  16,  16384,  30775,  23,  14,   3, 113518304, 113295600, 113620312, 111856496, 110908400
 17017,  16,  16384,  22563,  14,  14,   0, 110070488, 109657072, 109878272, 110971920, 110003752
 17018,  16,  16384,    541,  14,  15,   1, 110738384, 110818208, 111034896, 110929272, 111524352
 17019,  16,  16384,   8280,  15,  14,   1, 110619656, 111413128, 110234928, 111621488, 110795192
 17020,  16,  16384,  11913,  14,  12,   2, 109959328, 110822520, 109657432, 110880832, 107693872
 17021,  16,  16384,   3582,  12,  16,   2, 113852928, 113900072, 111883792, 113156096, 115335672
 17022,  16,  16384,  27066,  16,  16,   0, 114392752, 115076104, 115464616, 113938336, 115739368
 17023,  16,  16384,  16693,  16,  22,   3, 115884000, 114126336, 114025568, 115595768, 111274608
 17024,  16,  16384,  33958,  22,  22,   0, 112781992, 112330120, 106530600, 111252432, 112692728
 17025,  16,  16384,   5396,  22,  22,   0, 111466344, 111034528, 112635432, 112672280, 112826656
 17026,  16,  16384,  35723,  22,  22,   0, 112668976, 112595784, 111209664, 112330280, 112436304
 17027,  16,  16384,   8130,  22,  18,   2, 105197096, 112348096, 112199168, 109644976, 112553208
 17028,  16,  16384,   3040,  18,  19,   1, 112831208, 106628400, 112388920, 112358952, 112179816
 17029,  16,  16384,   5985,  19,  21,   2, 110625136, 113132152, 113480936, 113314896, 116019312
 17030,  16,  16384,  41712,  21,  21,   0, 116077504, 116147272, 114665016, 115877088, 116107840
 17031,  16,  16384,  10855,  21,  18,   2, 115843232, 115661912, 114788976, 115831960, 112603576
 17032,  16,  16384,  12852,  18,  18,   0, 112578728, 109953856, 112641768, 112489688, 112547792
 17033,  16,  16384,  23482,  18,  19,   1, 106911784, 112176144, 110939400, 112399544, 113535440
 17034,  16,  16384,  25763,  19,  18,   1, 113281680, 113173760, 113246448, 113117120, 112820168
 17035,  16,  16384,  28064,  18,  22,   2, 112647488, 112025744, 109712224, 108892344, 112547704
 17036,  16,  16384,  11213,  22,   4,   3, 112661560, 112530080, 111134816, 112535856, 112892704
 17037,  16,  16384,  45338,   4,   0,   2, 113083464, 113121616, 112468088, 113754984, 113637272
 17038,  16,  16384,  44433,   0,  14,   3, 113643968, 112564408, 113682456, 113631848, 110909136
 17039,  16,  16384,  20555,  14,  14,   0, 111001232, 109812088, 110800472, 110716464, 110941160
 17040,  16,  16384,    135,  14,  14,   0, 109924112, 104708752, 110797144, 111049824, 111147272
 17041,  16,  16384,  17297,  14,  10,   3, 109916368, 109813424, 110816600, 110940240, 104130216
 17042,  16,  16384,  13594,  10,  10,   0, 110979536, 110954184, 110872664, 110793456, 110288840
 17043,  16,  16384,  17044,  10,   1,   3, 110903248, 110730656, 110956856, 109590504, 114251416
 17044,  16,  16384,   9777,   1,   0,   1, 106273232, 114037872, 113935752, 113835536, 113719336
 17045,  16,  16384,  18328,   0,  22,   3, 114015936, 113605120, 112583392, 113997400, 111645208
 17046,  16,  16384,  42563,  22,  22,   0, 112693184, 112539440, 112646368, 112355424, 112384056
 17047,  16,  16384,  46803,  22,   3,   3, 111392376, 112329048, 112375552, 106756984, 111557248
 17048,  16,  16384,  34798,   3,   2,   1, 111637448, 111105520, 106881432, 110045936, 109793944
 17049,  16,  16384,  18119,   2,  20,   3, 110831104, 109589720, 111171504, 110641800, 115827400
 17050,  16,  16384,  27249,  20,  21,   1, 115202504, 115204712, 115307728, 114043016, 115714000
 17051,  16,  16384,  27664,  21,  20,   1, 116206232, 115773488, 115465136, 115714056, 114024104
 17052,  16,  16384,  28278,  20,  20,   0, 115548912, 115370744, 115545776, 115245112, 114131680
 17053,  16,  16384,  42075,  20,  21,   1, 113973976, 114579848, 115275472, 115356408, 115973720
 17054,  16,  16384,  31348,  21,  20,   1, 115922808, 115838640, 116217400, 112275032, 115726296
 17055,  16,  16384,  38038,  20,  20,   0, 114201320, 114351712, 114290872, 115482104, 115633024
 17056,  16,  16384,   4743,  20,  21,   1, 115491952, 115486800, 108571520, 115305032, 112285680
 17057,  16,  16384,  44307,  21,  21,   0, 116093136, 115915608, 114794712, 112414392, 116244040
 17058,  16,  16384,  18433,  21,  21,   0, 115876344, 115798112, 115379816, 115421440, 116190912
 17059,  16,  16384,  33904,  21,  11,   3, 115090936, 112939920, 116249296, 115817528, 105473928
 17060,  16,  16384,  47562,  11,  11,   0, 111693232, 110382664, 110403696, 111486096, 110248400
 17061,  16,  16384,  12557,  11,  11,   0, 111825944, 110415792, 111513160, 111347944, 111662032
 17062,  16,  16384,  12600,  11,   8,   2, 111783680, 111723800, 105593656, 111552024, 113796696
 17063,  16,  16384,  19461,   8,   8,   0, 113766640, 112586200, 111596800, 113713176, 113983944
 17064,  16,  16384,  36507,   8,   3,   3, 113797976, 109461968, 110984104, 113616728, 111649168
 17065,  16,  16384,   1275,   3,   0,   2, 110447384, 111216920, 111428888, 111509136, 111097320
 17066,  16,  16384,  31418,   0,   5,   2, 113523744, 112651224, 113633984, 113522784, 113017872
 17067,  16,  16384,  33647,   5,  11,   3, 113894600, 112691248, 114161520, 113990384, 111618704
 17068,  16,  16384,  35032,  11,  11,   0, 109344736, 110207800, 111528496, 111254656, 111296368
 17069,  16,  16384,   7396,  11,  11,   0, 111580488, 111350016, 105597200, 111351688, 110625008
 17070,  16,  16384,  30407,  11,  10,   1, 111639944, 111475176, 110339968, 109310936, 111020520
 17071,  16,  16384,  37091,  10,  10,   0, 110931960, 110652440, 110754312, 110735880, 109990072
 17072,  16,  16384,  34830,  10,  11,   1, 109933824, 108742920, 110723192, 110982952, 110433224
 17073,  16,  16384,  17518,  11,   6,   2, 111607384, 111390920, 111485392, 111832976, 110014304
 17074,  16,  16384,  48644,   6,  11,   2, 110253728, 104055928, 109132040, 108955280, 110498432
 17075,  16,  16384,  24936,  11,   0,   3, 110552904, 110253808, 111492664, 111578352, 107846272
 17076,  16,  16384,  36705,   0,   0,   0, 113678392, 113581728, 113535760, 113617864, 113707496
 17077,  16,  16384,  47977,   0,  23,   3, 113651376, 113534160, 109629272, 113571176, 112521200
 17078,  16,  16384,  47217,  23,  23,   0, 112729368, 113264672, 113213848, 112060096, 113214208
 17079,  16,  16384,   1917,  23,  18,   2, 112761848, 111824952, 112882560, 113171208, 112679568
 17080,  16,  16384,  27562,  18,   5,   3, 112896288, 112599168, 112295376, 112477384, 113052416
 17081,  16,  16384,  45080,   5,   3,   2, 114003064, 113972784, 111974032, 107577936, 111589600
 17082,  16,  16384,   6211,   3,   3,   0, 110190224, 111051160, 110272800, 111002408, 111623408
 17083,  16,  16384,  29925,   3,   0,   2, 110413312, 110197568, 111368168, 111440552, 113499312
 17084,  16,  16384,  29953,   0,   1,   1, 112616856, 111057504, 113590968, 112503136, 114193480
 17085,  16,  16384,   7749,   1,   5,   2, 114082648, 112734712, 112792744, 114180848, 114020352
 17086,  16,  16384,  28207,   5,  18,   3, 114237024, 111794616, 113873448, 114223096, 112763536
 17087,  16,  16384,  43993,  18,  21,   2, 112466704, 112480448, 112446448, 110906352, 110292456
 17088,  16,  16384,  20108,  21,  11,   3, 116165520, 115918680, 112986200, 116006320, 111818200
 17089,  16,  16384,   1253,  11,   2,   3, 110678160, 111185408, 111559216, 111220488, 111026544
 17090,  16,  16384,  19105,   2,  17,   3, 110461984, 109703968, 110868624, 108417544, 111173496
 17091,  16,  16384,  32623,  17,   6,   3, 112521312, 115686936, 115891464, 114509840, 108837584
 17092,  16,  16384,  49592,   6,  13,   3, 110119848, 109755312, 109004080, 110200320, 113851792
 17093,  16,  16384,   9033,  13,  12,   1, 113972048, 108392424, 112830856, 112832896, 113787584
 17094,  16,  16384,  19415,  12,  16,   2, 113578904, 112859728, 113841040, 113605160, 115644024
 17095,  16,  16384,  34615,  16,  10,   3, 115537056, 115381496, 115574288, 114351992, 111070344
 17096,  16,  16384,  26425,  10,  10,   0, 111184584, 110016552, 109631176, 110809768, 111175784
 17097,  16,  16384,   6633,  10,  11,   1, 111231088, 110669232, 102605160, 110813912, 111793120
 17098,  16,  16384,  22755,  11,  10,   1, 111663152, 110219072, 111537664, 111351136, 109701864
 17099,  16,  16384,   5662,  10,  10,   0, 110848208, 110799944, 111042720, 110588128, 110635184
 17100,  16,  16384,  44760,  10,  11,   1, 103330552, 109733696, 110847976, 110803160, 110635768
 17101,  16,  16384,   5414,  11,  10,   1, 111782112, 111647496, 105388280, 110295216, 110865480
 17102,  16,  16384,  27563,  10,   4,   3, 111138864, 110931016, 103926984, 109783544, 114083208
 17103,  16,  16384,  47962,   4,   5,   1, 108074744, 111842432, 113862880, 113511256, 114008208
 17104,  16,  16384,    619,   5,   5,   0, 114259160, 113996048, 114216384, 112939624, 114100304
 17105,  16,  16384,  40397,   5,  13,   3, 114218784, 112925296, 110428240, 108654448, 114363280
 17106,  16,  16384,  38932,  13,  13,   0, 114235840, 113888496, 114186608, 114120808, 113036504
 17107,  16,  16384,  42810,  13,   3,   3, 114223696, 108015160, 114088288, 112927200, 110292664
 17108,  16,  16384,  18577,   3,   3,   0, 111518912, 110270944, 105397488, 111332472, 111448176
 17109,  16,  16384,  26042,   3,   0,   2, 111436496, 111432112, 111218048, 111414136, 112523344
 17110,  16,  16384,  13003,   0,   0,   0, 113863136, 113929096, 112952920, 112174896, 113718496
 17111,  16,  16384,   8431,   0,   3,   2, 113664432, 107815888, 113351776, 112322904, 111397344
 17112,  16,  16384,   8917,   3,   4,   2, 110452168, 110220728, 111447832, 110227024, 112854704
 17113,  16,  16384,  15062,   4,   5,   1, 114098040, 112646104, 113512224, 113953848, 114003040
 17114,  16,  16384,   6076,   5,   3,   2, 113893248, 111883240, 113893200, 114265424, 111249496
 17115,  16,  16384,  31407,   3,   4,   2, 110307912, 111396240, 111368576, 103532992, 113661400
 17116,  16,  16384,  28345,   4,  13,   3, 113784448, 113597848, 112636192, 107686968, 114177840
 17117,  16,  16384,   6983,  13,  13,   0, 110951720, 114132032, 112861048, 113995032, 114042376
 17118,  16,  16384,  24572,  13,  12,   1, 114416336, 113996520, 114219736, 114451016, 112700784
 17119,  16,  16384,  15988,  12,  13,   1, 113820048, 113322320, 113330848, 112740960, 113332720
 17120,  16,  16384,   3352,  13,  15,   2, 114266648, 114316704, 113989928, 114069240, 111671584
 17121,  16,  16384,  17250,  15,   1,   3, 111455880, 111477856, 105324704, 111529360, 108842432
 17122,  16,  16384,   4323,   1,   5,   2, 113913976, 112956936, 112985568, 113882200, 107705936
 17123,  16,  16384,  10912,   5,   6,   3, 114122808, 113992936, 114047280, 113956120, 109994032
 17124,  16,  16384,  15236,   6,   7,   1, 110321448, 108906608, 110150984, 109644224, 105226784
 17125,  16,  16384,  16763,   7,   8,   2, 109308216, 111077368, 111337312, 111280760, 113656760
 17126,  16,  16384,  48370,   8,   9,   1, 112622880, 114026576, 113663528, 113928872, 114437384
 17127,  16,  16384,  32771,   9,  14,   3, 113145416, 112948080, 111830008, 114249608, 111031264
 17128,  16,  16384,  20128,  14,  17,   2, 107642408, 107835824, 110674488, 110908440, 114693400
 17129,  16,  16384,   3891,  17,   6,   3, 115888360, 115715472, 110102424, 114697360, 109146440
 17130,  16,  16384,  44879,   6,  10,   2, 105919296, 106421008, 109981520, 108899184, 110830856
 17131,  16,  16384,  17284,  10,  11,   1, 110949232, 109755504, 110587864, 110927328, 105082840
 17132,  16,  16384,  12100,  11,  10,   1, 110764488, 110135032, 111406928, 111687920, 111029552
 17133,  16,  16384,   9539,  10,  11,   1, 111076568, 110686032, 110382104, 110820096, 110311080
 17134,  16,  16384,   5270,  11,  11,   0, 111815040, 111839472, 104629096, 110804064, 111577312
 17135,  16,  16384,  39997,  11,   3,   3, 111850312, 111447976, 111487752, 111388696, 111517528
 17136,  16,  16384,  28415,   3,   4,   2, 110600512, 111391000, 111508080, 111446792, 114050336
 17137,  16,  16384,  28619,   4,   2,   2, 111468256, 113781624, 113607816, 107916408, 110862672
 17138,  16,  16384,  29762,   2,   0,   2, 110872264, 110934232, 109280176, 110776840, 113800600
 17139,  16,  16384,  16989,   0,   0,   0, 113885120, 113156480, 111394200, 113794248, 107646792
 17140,  16,  16384,  39901,   0,  14,   3, 113749928, 113457040, 113107600, 112622104, 111071480
 17141,  16,  16384,  15661,  14,  14,   0, 111193968, 110817184, 103330736, 109722656, 111204352
 17142,  16,  16384,   6381,  14,  15,   1, 110959696, 110816544, 110941728, 111007920, 110571704
 17143,  16,  16384,  44122,  15,  14,   1, 111689928, 111463280, 111590784, 111716800, 104903832
 17144,  16,  16384,  10360,  14,  15,   1, 109689896, 110892528, 110914000, 110977024, 111821760
 17145,  16,  16384,  22483,  15,  15,   0, 111612016, 111118488, 110652048, 111394184, 111768000
 17146,  16,  16384,  43591,  15,  14,   1, 109532456, 110875392, 110901096, 111700872, 110885384
 17147,  16,  16384,  47609,  14,  14,   0, 111057928, 110675504, 109520768, 111194712, 110897352
 17148,  16,  16384,   6788,  14,  14,   0, 111140272, 110790608, 109865824, 104732120, 110048640
 17149,  16,  16384,  45667,  14,  14,   0, 110778232, 110648344, 110600144, 110668104, 111158912
 17150,  16,  16384,  42751,  14,  11,   3, 111289664, 109743080, 110948504, 111222720, 111790080
 17151,  16,  16384,  49098,  11,  23,   3, 111668776, 111419264, 111692816, 111412080, 113282280
 17152,  16,  16384,  33643,  23,   0,   3, 113503640, 107447840, 111708384, 110584856, 113997704
 17153,  16,  16384,  45677,   0,   0,   0, 113765152, 112433968, 107456216, 113616048, 112400552
 17154,  16,  16384,  29127,   0,   0,   0, 113569968, 113470760, 113267536, 113414392, 113775432
 17155,  16,  16384,  43919,   0,   4,   2, 112697672, 113590512, 113759520, 112249912, 113759312
 17156,  16,  16384,  21171,   4,   5,   1, 112845688, 113383896, 113690656, 113868096, 113989584
 17157,  16,  16384,  10677,   5,   1,   2, 112768560, 113946736, 113981760, 113960440, 114015280
 17158,  16,  16384,  27087,   1,  11,   3, 113222760, 112322520, 113909472, 113931000, 110795088
 17159,  16,  16384,  45133,  11,  15,   3, 109322768, 111409720, 105429248, 111303000, 111597104
 17160,  16,  16384,  24258,  15,  15,   0, 111496104, 111413288, 111479400, 110132136, 111772920
 17161,  16,  16384,  26205,  15,  15,   0, 111572512, 108686448, 110921136, 111751320, 111598304
 17162,  16,  16384,  45684,  15,  17,   2, 111739336, 105439400, 111387464, 111055240, 115743264
 17163,  16,  16384,  12836,  17,  17,   0, 116042688, 114506592, 115817872, 115674576, 115908648
 17164,  16,  16384,  44269,  17,  14,   2, 113736552, 109909064, 115532384, 115773040, 110816128
 17165,  16,  16384,  22161,  14,  14,   0, 109884992, 110670968, 109670624, 110648584, 110309176
 17166,  16,  16384,  33037,  14,  12,   2, 104673512, 110736912, 110646016, 109849000, 112764400
 17167,  16,  16384,  11811,  12,  14,   2, 113638632, 107720928, 113564672, 113653288, 109676408
 17168,  16,  16384,   3872,  14,   7,   3, 109581800, 110670768, 105511000, 109780088, 110087584
 17169,  16,  16384,  23964,   7,   6,   1, 111486072, 111169704, 111230608, 111019704, 110425160
 17170,  16,  16384,  15620,   6,   6,   0, 103075464, 110052120, 108394536, 109898512, 109066416
 17171,  16,  16384,  12708,   6,   6,   0, 109375296, 110255248, 108802192, 109744120, 109943656
 17172,  16,  16384,  39354,   6,   7,   1, 110258232, 109997464, 109136944, 109165792, 110066024
 17173,  16,  16384,  21155,   7,   8,   2, 111261032, 110673536, 109898952, 109791976, 114044704
 17174,  16,  16384,  36981,   8,   9,   1, 109947456, 110647776, 113564912, 113886072, 114229536
 17175,  16,  16384,  18689,   9,   9,   0, 114148960, 114129696, 112924648, 112866616, 114286808
 17176,  16,  16384,  19893,   9,   9,   0, 113124936, 114113664, 112655688, 108110512, 114208808
 17177,  16,  16384,    822,   9,   8,   1, 114123032, 114237968, 113968200, 113788056, 113951320
 17178,  16,  16384,  14603,   8,   2,   3, 113840136, 112630000, 112496808, 113929584, 110789912
 17179,  16,  16384,  29860,   2,   3,   1, 111047760, 109764064, 110927240, 110944168, 109996544
 17180,  16,  16384,  33419,   3,   3,   0, 110536512, 109506656, 111081240, 110950240, 111202104
 17181,  16,  16384,  44741,   3,   2,   1, 105409624, 110838048, 110821368, 109708904, 110885192
 17182,  16,  16384,   6390,   2,   0,   2, 109616184, 104671616, 109923056, 110874360, 112772400
 17183,  16,  16384,  44402,   0,   0,   0, 112850976, 113902208, 112697152, 113660656, 114135888
 17184,  16,  16384,  46815,   0,   0,   0, 113773264, 114139904, 110765000, 110356128, 114216168
 17185,  16,  16384,  44273,   0,  22,   3, 113939384, 111300312, 113598944, 113332832, 111394640
 17186,  16,  16384,  18259,  22,  19,   2, 112437472, 112154032, 108658472, 108034408, 111430576
 17187,  16,  16384,  27604,  19,  15,   3, 113124488, 112939280, 112501400, 110074040, 111054640
 17188,  16,  16384,  20967,  15,  16,   2, 111378696, 110901944, 109887192, 111075880, 116000848
 17189,  16,  16384,  22073,  16,  16,   0, 114470656, 115394536, 115221840, 115559512, 108494128
 17190,  16,  16384,  39909,  16,  13,   2, 114186712, 114438296, 115463600, 115572088, 108341280
 17191,  16,  16384,  34420,  13,  13,   0, 112436336, 113514600, 114032080, 114329080, 113801864
 17192,  16,  16384,   4371,  13,  12,   1, 114476712, 112901136, 114229224, 112981880, 114154176
 17193,  16,  16384,  20231,  12,  12,   0, 114246840, 113609088, 113855720, 113675328, 113093224
 17194,  16,  16384,  40789,  12,  15,   2, 114037600, 113830864, 113806744, 107522272, 111077600
 17195,  16,  16384,  40174,  15,  17,   2, 110657040, 110676952, 110646784, 110736664, 116140216
 17196,  16,  16384,  20993,  17,  16,   1, 116134672, 115728288, 114450768, 115995104, 113275552
 17197,  16,  16384,  34878,  16,  13,   2, 110099136, 115384816, 115538488, 115319944, 104237072
 17198,  16,  16384,  42791,  13,  12,   1, 113289520, 114321256, 113925672, 114391288, 114163064
 17199,  16,  16384,  24132,  12,  12,   0, 107081088, 113857416, 112842848, 113731464, 113741544
 17200,  16,  16384,  10521,  12,  13,   1, 114081672, 113380016, 113613656, 112700616, 114281976
 17201,  16,  16384,  37977,  13,  17,   2, 114036952, 114001888, 114165928, 114153144, 115928344
 17202,  16,  16384,  28483,  17,  17,   0, 116265288, 115975416, 113500400, 114629440, 116358424
 17203,  16,  16384,  31553,  17,  16,   1, 116139512, 116152608, 116125112, 116025856, 115272744
 17204,  16,  16384,  44483,  16,  16,   0, 110110232, 115876968, 115286832, 115673216, 114592680
 17205,  16,  16384,  35973,  16,  16,   0, 114821616, 115791712, 115811840, 115617984, 113236416
 17206,  16,  16384,   3183,  16,  15,   2, 116031544, 115416264, 111680000, 113979456, 108561528
 17207,  16,  16384,  19364,  15,  14,   1, 110789504, 110811288, 109617888, 110873440, 111461440
 17208,  16,  16384,  43877,  14,  15,   1, 110010960, 111130704, 110273432, 109197248, 110700272
 17209,  16,  16384,  48568,  15,  15,   0, 107651360, 110539880, 110388448, 110295120, 110246424
 17210,  16,  16384,  35842,  15,  14,   1, 110462616, 110296880, 110199488, 110474608, 111311720
 17211,  16,  16384,  47200,  14,  15,   1, 111284072, 110875672, 111277368, 111163512, 110457712
 17212,  16,  16384,  16096,  15,  13,   2, 109428048, 110287328, 110425992, 110347768, 114406816
 17213,  16,  16384,  25246,  13,  13,   0, 114232296, 113378776, 111560048, 112857992, 114385800
 17214,  16,  16384,  26071,  13,  15,   2, 114262944, 114341824, 113961256, 114001416, 110528128
 17215,  16,  16384,  16768,  15,  17,   2, 110570968, 108972584, 110406320, 110284064, 116177856
 17216,  16,  16384,  15107,  17,  12,   2, 116156064, 114807928, 115961560, 115966256, 113621776
 17217,  16,  16384,  14476,  12,  13,   1, 114106024, 106761856, 113648672, 113492648, 114163400
 17218,  16,  16384,   6444,  13,  13,   0, 111576672, 113359296, 114299736, 111972168, 114388568
 17219,  16,  16384,  10477,  13,  12,   1, 114200712, 114279528, 114277976, 112814264, 113809456
 17220,  16,  16384,  44381,  12,  17,   2, 113946144, 113641352, 113615744, 112810392, 116159416
 17221,  16,  16384,  38634,  17,  17,   0, 114831496, 116283112, 115850768, 116119552, 116312784
 17222,  16,  16384,  41932,  17,  20,   3, 116361136, 114647176, 116491832, 116157976, 115712904
 17223,  16,  16384,  48670,  20,  21,   1, 115971648, 114284360, 115567432, 115470928, 116058656
 17224,  16,  16384,  41535,  21,  20,   1, 116285704, 114685600, 116253040, 116144512, 115935528
 17225,  16,  16384,  11951,  20,  23,   2, 115836736, 115895896, 114526080, 115441416, 112606592
 17226,  16,  16384,   9566,  23,  23,   0, 112357480, 111921984, 108243568, 112217984, 112460120
 17227,  16,  16384,  24849,  23,  21,   2, 112650824, 112266408, 111019424, 112065568, 114752368
 17228,  16,  16384,  33066,  21,  22,   2, 116459824, 110016600, 116128640, 116006024, 112348160
 17229,  16,  16384,  31170,  22,  22,   0, 112360904, 112106176, 112311528, 112346864, 111387480
 17230,  16,  16384,  12967,  22,  18,   2, 111318208, 111992416, 111133888, 112332368, 111052248
 17231,  16,  16384,  28871,  18,   8,   3, 112407904, 111882760, 112227320, 112396072, 113919176
 17232,  16,  16384,  39344,   8,   9,   1, 113903592, 112870232, 114114208, 113953424, 113437024
 17233,  16,  16384,  19303,   9,   8,   1, 114607192, 114215056, 108240616, 114303672, 113991432
 17234,  16,  16384,  23175,   8,   8,   0, 114220888, 113816128, 113781928, 112864528, 114140760
 17235,  16,  16384,  25829,   8,   9,   1, 113978288, 113978512, 111393272, 113813504, 114467880
 17236,  16,  16384,  12494,   9,  10,   2, 112049376, 114114320, 113250336, 114177824, 109845984
 17237,  16,  16384,   2053,  10,  11,   1, 110955544, 104869432, 110659888, 110569464, 110956496
 17238,  16,  16384,  32075,  11,  10,   1, 110857696, 110901528, 104761400, 110483576, 110750016
 17239,  16,  16384,  27819,  10,  13,   3, 109996296, 108940008, 110571232, 107729952, 114548640
 17240,  16,  16384,  19534,  13,   1,   3, 113280104, 114267592, 114311336, 114361048, 107833000
 17241,  16,  16384,  11539,   1,   2,   2, 114140680, 113205936, 111472280, 114180920, 109461336
 17242,  16,  16384,  20201,   2,   7,   3, 110691408, 110339832, 110556560, 110266016, 109742816
 17243,  16,  16384,  40239,   7,   7,   0, 109572224, 110677504, 110711456, 110762712, 109570184
 17244,  16,  16384,  42718,   7,   6,   1, 109524840, 105490992, 109614320, 110450112, 109850880
 17245,  16,  16384,  17242,   6,  21,   3, 109752448, 109627416, 109629000, 109644504, 114794112
 17246,  16,  16384,  35635,  21,   2,   3, 115016728, 114668744, 116169272, 116193144, 106001536
 17247,  16,  16384,  33269,   2,   3,   1, 109728328, 110534944, 110197296, 110410896, 110978376
 17248,  16,  16384,  20179,   3,   2,   1, 104990112, 110678904, 109548768, 109556400, 110683960
 17249,  16,  16384,  17639,   2,   3,   1, 110684440, 110417664, 104588616, 110221216, 111061392
 17250,  16,  16384,  12361,   3,   4,   2, 111110904, 110826704, 108611152, 106675496, 113990600
 17251,  16,  16384,  42342,   4,   4,   0, 114036864, 114277248, 113966264, 108038728, 111460384
 17252,  16,  16384,  14404,   4,  11,   3, 113945344, 112780544, 112772872, 113801416, 111143736
 17253,  16,  16384,  31696,  11,  10,   1, 111232280, 109854504, 109727424, 111104192, 109552064
 17254,  16,  16384,  35071,  10,   5,   3, 110840192, 110268888, 110698176, 110586144, 113023224
 17255,  16,  16384,  14608,   5,   4,   1, 114028144, 111308248, 109473200, 113792376, 114363816
 17256,  16,  16384,  12357,   4,   9,   3, 113874128, 107931304, 112782112, 112842672, 114524456
 17257,  16,  16384,  48483,   9,   8,   1, 114449600, 114109256, 114060736, 108271376, 113843240
 17258,  16,  16384,  12775,   8,   7,   2, 113135928, 113896848, 113681000, 112931816, 110545320
 17259,  16,  16384,  39845,   7,   1,   3, 110948232, 110806400, 104788408, 109877768, 106963168
 17260,  16,  16384,   8909,   1,   9,   3, 114179736, 113926704, 112889168, 113771712, 113188352
 17261,  16,  16384,  47669,   9,   8,   1, 113960008, 113040120, 114171832, 112979592, 113641304
 17262,  16,  16384,  27998,   8,  11,   2, 114150464, 113535856, 114057128, 112841488, 111284720
 17263,  16,  16384,  39406,  11,  10,   1, 110880744, 104754008, 110958680, 110706896, 110747184
 17264,  16,  16384,  24457,  10,   9,   2, 109787960, 104725040, 107650800, 110658728, 114141984
 17265,  16,  16384,  48679,   9,   9,   0, 114545224, 113274240, 113990208, 114175640, 114593856
 17266,  16,  16384,  36808,   9,   7,   2, 113096072, 114105072, 114316640, 114220784, 108257496
 17267,  16,  16384,  33324,   7,   6,   1, 110666520, 110565808, 110544008, 109518680, 110297688
 17268,  16,  16384,  47193,   6,   7,   1, 110111136, 110071648, 109884288, 107461304, 109535384
 17269,  16,  16384,  16985,   7,   9,   2, 108427528, 110721192, 110728464, 110609432, 114319704
 17270,  16,  16384,   2471,   9,  18,   3, 114579528, 114510776, 113224728, 114384440, 105658696
 17271,  16,  16384,   1149,  18,  12,   3, 112501880, 111076680, 112357840, 112284024, 114125088
 17272,  16,  16384,  35185,  12,  12,   0, 112739240, 113838240, 113928008, 113374888, 113980048
 17273,  16,  16384,   9292,  12,  12,   0, 114081816, 114002632, 112646920, 113693544, 113929064
 17274,  16,  16384,  41187,  12,  20,   3, 112865216, 107901136, 113821784, 112815200, 115736664
 17275,  16,  16384,  25684,  20,  20,   0, 115572336, 109907968, 114442064, 115549560, 115530192
 17276,  16,  16384,  40727,  20,   8,   3, 115611904, 115367152, 114447368, 114407320, 112830648
 17277,  16,  16384,  29078,   8,   6,   2, 113899600, 114149664, 113911312, 112768728, 104297976
 17278,  16,  16384,  48398,   6,  11,   2, 110294984, 110203984, 110109848, 109951216, 111274832
 17279,  16,  16384,    637,  11,  10,   1, 109808024, 109922568, 110912424, 111080888, 109934016
 17280,  16,  16384,  48090,  10,  11,   1, 109797000, 109653392, 110701368, 110832192, 105296152
 17281,  16,  16384,  11567,  11,   7,   2, 111413288, 110118624, 110096432, 111332232, 110013720
 17282,  16,  16384,  32319,   7,   8,   2, 110843040, 111038200, 110905080, 110992480, 113578376
 17283,  16,  16384,  49184,   8,   7,   2, 113800728, 112887216, 113635104, 112612296, 111141152
 17284,  16,  16384,  35882,   7,  10,   2, 110005720, 110847752, 110946528, 110995632, 110868992
 17285,  16,  16384,  28044,  10,  10,   0, 110950296, 110906640, 110134304, 110312456, 110948144
 17286,  16,  16384,  35187,  10,  11,   1, 110958464, 110438656, 104836240, 109688792, 111508200
 17287,  16,  16384,   1722,  11,   9,   2, 111326216, 109967752, 110508992, 109774720, 114148792
 17288,  16,  16384,  28984,   9,  11,   2, 114301880, 114238624, 114377328, 114262280, 111250320
 17289,  16,  16384,  49747,  11,   5,   3, 111164536, 111143600, 111084544, 111078688, 114212728
 17290,  16,  16384,   4645,   5,   5,   0, 114364608, 113821296, 114041448, 114046792, 114314928
 17291,  16,  16384,  22708,   5,   1,   2, 114308432, 113007496, 113987752, 112551344, 112071960
 17292,  16,  16384,   7247,   1,  23,   3, 114079680, 114023696, 113929648, 114234152, 113184672
 17293,  16,  16384,  12475,  23,  22,   1, 113284888, 112872568, 112926168, 112932080, 111056760
 17294,  16,  16384,  22243,  22,  22,   0, 112915296, 112422160, 112464072, 111179312, 106846048
 17295,  16,  16384,  20351,  22,  16,   3, 112558656, 112357088, 111075776, 111178608, 114858448
 17296,  16,  16384,  30520,  16,  16,   0, 112440672, 112538624, 114322184, 115612208, 114633152
 17297,  16,  16384,   8114,  16,  13,   2, 115837136, 114309896, 115595080, 115504984, 113022968
 17298,  16,  16384,  27568,  13,  12,   1, 114412080, 114159632, 113177112, 114253440, 113519296
 17299,  16,  16384,   7999,  12,   5,   3, 113733768, 112366912, 113443928, 112321184, 113265360
 17300,  16,  16384,  47048,   5,  15,   3, 113921736, 107987208, 113869560, 114016984, 111075800
 17301,  16,  16384,  24947,  15,  13,   2, 110418680, 110277376, 110879024, 104310576, 114069232
 17302,  16,  16384,   7515,  13,   4,   3, 114260200, 114126824, 113098416, 114350032, 112858128
 17303,  16,  16384,  28173,   4,  10,   3, 113973648, 113840872, 111599800, 113597216, 110348016
 17304,  16,  16384,   7812,  10,  17,   3, 110810392, 110837800, 104950064, 108485456, 114714168
 17305,  16,  16384,  41861,  17,  16,   1, 116411384, 115729352, 114502632, 114619496, 115496688
 17306,  16,  16384,  48786,  16,  12,   2, 114088576, 115406512, 115582128, 114009488, 113519984
 17307,  16,  16384,  41320,  12,  12,   0, 113122952, 114052032, 113690128, 113751664, 113643360
 17308,  16,  16384,  16953,  12,  16,   2, 106864624, 113888384, 112512640, 113678312, 114331120
 17309,  16,  16384,  25187,  16,  17,   1, 115772136, 115160632, 114456856, 115540616, 114694424
 17310,  16,  16384,  28415,  17,  14,   2, 110955680, 113982128, 115672680, 115903992, 109998048
 17311,  16,  16384,  13818,  14,  17,   2, 109899496, 110861080, 110708192, 110917512, 116184712
 17312,  16,  16384,   5881,  17,  12,   2, 115063656, 114611048, 115883312, 109088624, 108001064
 17313,  16,  16384,  35999,  12,  13,   1, 112798048, 113687272, 113163360, 112895696, 114338048
 17314,  16,  16384,  13297,  13,  12,   1, 114325544, 114233744, 114133920, 113187560, 113908408
 17315,  16,  16384,  19427,  12,  12,   0, 113677584, 107451024, 112362248, 113614288, 112738432
 17316,  16,  16384,  15773,  12,  13,   1, 113503896, 113544848, 112978928, 112750176, 113244376
 17317,  16,  16384,  44553,  13,  12,   1, 114148352, 114275632, 108006112, 112786296, 112872312
 17318,  16,  16384,  16825,  12,  12,   0, 113297160, 113313088, 113616920, 113858784, 113124512
 17319,  16,  16384,  43590,  12,  15,   2, 113703440, 114021472, 113543728, 113243632, 111426568
 17320,  16,  16384,  11234,  15,  15,   0, 111509888, 110144184, 111482344, 110184736, 111563040
 17321,  16,  16384,  42214,  15,  12,   2, 110572608, 111488936, 111706352, 103381552, 113827400
 17322,  16,  16384,   3576,  12,  13,   1, 113931088, 113650208, 109254784, 110851592, 113930184
 17323,  16,  16384,  35636,  13,  12,   1, 114168656, 114244264, 114181240, 113003664, 113954400
 17324,  16,  16384,  21746,  12,  13,   1, 114029536, 113453376, 113393152, 113843552, 112960392
 17325,  16,  16384,  19962,  13,  20,   3, 113001640, 114242648, 113981664, 114149008, 115534616
 17326,  16,  16384,  41410,  20,  21,   1, 110172688, 115582912, 115556840, 115476624, 114630440
 17327,  16,  16384,  40926,  21,  22,   2, 115961800, 108659224, 115839568, 115912832, 112687336
 17328,  16,  16384,  48464,  22,  22,   0, 112574120, 111826760, 111656688, 105518088, 112412624
 17329,  16,  16384,  42993,  22,  23,   1, 111326496, 112326712, 112462736, 111152000, 113481928
 17330,  16,  16384,  20029,  23,  20,   2, 112216352, 111739728, 107485904, 113360976, 115564824
 17331,  16,  16384,    762,  20,  20,   0, 115644640, 115332264, 115207256, 114345656, 114425400
 17332,  16,  16384,  41761,  20,  20,   0, 115680072, 114256840, 114347080, 115387168, 115617400
 17333,  16,  16384,  47272,  20,  20,   0, 114424864, 110287680, 115309304, 115013272, 114123856
 17334,  16,  16384,  40893,  20,  18,   2, 114380344, 115449688, 114132456, 115449856, 112650112
 17335,  16,  16384,  45950,  18,  19,   1, 103930664, 112486128, 112403984, 110851712, 113216656
 17336,  16,  16384,  13466,  19,  18,   1, 111953552, 113072896, 113259064, 107246776, 112059464
 17337,  16,  16384,  13216,  18,  11,   3, 111861840, 111204008, 106584608, 112188224, 110449480
 17338,  16,  16384,  37953,  11,   2,   3, 110548992, 111710640, 110411016, 111472208, 110947720
 17339,  16,  16384,  10763,   2,   5,   2, 110899368, 108147600, 110765048, 110842248, 112965072
 17340,  16,  16384,  44271,   5,   2,   2, 114026688, 112838864, 107849744, 113788224, 110746304
 17341,  16,  16384,  12206,   2,   3,   1, 110961600, 110833880, 110664248, 108224448, 111522160
 17342,  16,  16384,   7076,   3,  14,   3, 111543336, 110312480, 105275816, 111461560, 110893920
 17343,  16,  16384,  45029,  14,  16,   2, 111123152, 110682672, 110631912, 110890152, 115768792
 17344,  16,  16384,   5791,  16,  16,   0, 115923872, 115634088, 115618424, 115338656, 115455088
 17345,  16,  16384,     33,  16,  16,   0, 115857696, 114037072, 114418416, 109513064, 114863632
 17346,  16,  16384,   1528,  16,  15,   2, 115151200, 114401224, 115542272, 115503696, 106476288
 17347,  16,  16384,  27921,  15,   5,   3, 110091192, 111419128, 111214760, 110343136, 114000208
 17348,  16,  16384,  42997,   5,  23,   3, 112904376, 113679880, 112669144, 113869472, 113281224
 17349,  16,  16384,   3057,  23,  20,   2, 110884792, 111889384, 113321800, 113117704, 115797368
 17350,  16,  16384,  25991,  20,  15,   3, 108558792, 114187776, 115535040, 114509424, 112074192
 17351,  16,  16384,  48444,  15,   6,   3, 111523248, 111299880, 111359080, 104272368, 110155512
 17352,  16,  16384,  43471,   6,   7,   1, 110099360, 108951152, 110021512, 109915392, 111696016
 17353,  16,  16384,  32081,   7,   4,   3, 111417456, 111390584, 111165736, 111255304, 113774000
 17354,  16,  16384,  26952,   4,  17,   3, 113702536, 113740256, 112816080, 113062720, 115955032
 17355,  16,  16384,  46733,  17,  13,   2, 115781384, 109849104, 115585928, 115972960, 114240224
 17356,  16,  16384,   8286,  13,  20,   3, 114246544, 112400064, 113219824, 114041152, 111003744
 17357,  16,  16384,  47486,  20,  19,   2, 113215072, 114070768, 115351264, 115091880, 111918568
 17358,  16,  16384,  14963,  19,   7,   3, 113688240, 113173024, 107287000, 113407912, 111590976
 17359,  16,  16384,  11276,   7,   7,   0, 111978280, 111085392, 105275328, 111456120, 111538856
 17360,  16,  16384,  47257,   7,   7,   0, 110237520, 111513984, 110251480, 111356112, 111183192
 17361,  16,  16384,  24098,   7,   7,   0, 109062560, 111521968, 111478856, 111455960, 110858128
 17362,  16,  16384,  33009,   7,   6,   1, 106284832, 111651984, 110023784, 111132600, 104452280
 17363,  16,  16384,   8820,   6,   6,   0, 108888768, 110238528, 109811896, 109900520, 109790472
 17364,  16,  16384,  35618,   6,   7,   1, 110184256, 110346352, 108907232, 110162776, 111237096
 17365,  16,  16384,  20860,   7,  19,   3, 110085112, 111141664, 111317872, 111300240, 104828688
 17366,  16,  16384,  12036,  19,  21,   2, 113392936, 113131592, 112988992, 113290856, 116294328
 17367,  16,  16384,  12805,  21,  18,   2, 115977944, 114597480, 109906064, 113050264, 111924912
 17368,  16,  16384,  27013,  18,  22,   2, 112547936, 112491912, 111138592, 112492184, 112465664
 17369,  16,  16384,   5431,  22,  13,   3, 112653680, 111315120, 112304680, 112220384, 111939792
 17370,  16,  16384,  28310,  13,  12,   1, 113068184, 113046944, 114014688, 114209400, 113619024
 17371,  16,  16384,  25260,  12,   0,   3, 112391240, 113653224, 113685736, 113795232, 113248848
 17372,  16,  16384,  36075,   0,   2,   2, 113903312, 113582664, 107774856, 113403536, 108385288
 17373,  16,  16384,  44708,   2,  18,   3, 110906304, 110490720, 110671280, 110763160, 111267400
 17374,  16,  16384,  31234,  18,  23,   2, 112480040, 112553320, 111413328, 112319608, 113291144
 17375,  16,  16384,   5502,  23,  23,   0, 113241048, 113206216, 112873816, 112472616, 113467968
 17376,  16,  16384,  25292,  23,  22,   1, 113490048, 113230616, 111878824, 113336000, 112671728
 17377,  16,  16384,  47249,  22,  23,   1, 112596664, 112377904, 111133192, 112461792, 113372576
 17378,  16,  16384,  11789,  23,  22,   1, 113542712, 113060904, 113126312, 111876072, 111315464
 17379,  16,  16384,  10583,  22,  23,   1, 112530000, 112412056, 112309048, 111116240, 108350928
 17380,  16,  16384,  16775,  23,   1,   3, 113075896, 111882080, 113215736, 113036216, 113073128
 17381,  16,  16384,  27856,   1,  21,   3, 114016008, 107602912, 112819944, 114011064, 114955608
 17382,  16,  16384,  33881,  21,  20,   1, 116237344, 115926680, 115752760, 115872712, 113475272
 17383,  16,  16384,   5393,  20,  23,   2, 115627488, 115275680, 115197104, 114092936, 112170024
 17384,  16,  16384,  29722,  23,   5,   3, 113507216, 113018960, 113437832, 106334288, 114261480
 17385,  16,  16384,  33643,   5,   5,   0, 112833256, 112878408, 114005464, 112999360, 114178008
 17386,  16,  16384,  47442,   5,   5,   0, 114282352, 112662160, 113897048, 107951424, 114117368
 17387,  16,  16384,  36157,   5,   4,   1, 114040032, 113785008, 111222152, 114088672, 114127712
 17388,  16,  16384,  22982,   4,   8,   3, 114039632, 113544224, 112937312, 113779064, 113745608
 17389,  16,  16384,  35189,   8,   7,   2, 112847776, 113572544, 113349336, 111211304, 111402104
 17390,  16,  16384,   9608,   7,  10,   2, 111828968, 111406360, 110333848, 111479880, 111014728
 17391,  16,  16384,   8171,  10,  10,   0, 110905384, 108820984, 110701000, 109836920, 110995168
 17392,  16,  16384,  44110,  10,  14,   3, 111033280, 104907616, 110816632, 110935768, 109743712
 17393,  16,  16384,  27831,  14,  16,   2, 110988672, 110881960, 111028536, 111046544, 114335496
 17394,  16,  16384,  10773,  16,  16,   0, 115633608, 114083048, 114187936, 115375320, 109779736
 17395,  16,  16384,  20585,  16,  17,   1, 115911184, 115315168, 115250312, 115225792, 116315968
 17396,  16,  16384,  27084,  17,  17,   0, 116121200, 115616096, 115484800, 114579272, 108923832
 17397,  16,  16384,   2205,  17,  13,   2, 116035880, 115651184, 114517576, 115651712, 113937696
 17398,  16,  16384,  46154,  13,  17,   2, 113247536, 114387760, 114108376, 113884496, 116227576
 17399,  16,  16384,  48993,  17,  13,   2, 116226440, 115937112, 108908112, 115705864, 114142512
 17400,  16,  16384,   2185,  13,  13,   0, 114461160, 113058664, 113979184, 113021752, 114006896
 17401,  16,  16384,  12712,  13,  12,   1, 114140528, 114019672, 114058136, 114241808, 112669760
 17402,  16,  16384,  45128,  12,  13,   1, 113736904, 113322680, 113285760, 113205360, 114202120
 17403,  16,  16384,  16672,  13,  12,   1, 113081992, 113820248, 113543096, 114179696, 113826288
 17404,  16,  16384,  27833,  12,  21,   3, 113754608, 112515816, 113615328, 113583080, 114726976
 17405,  16,  16384,  11129,  21,  20,   1, 116092528, 115803168, 115880360, 110228328, 115700120
 17406,  16,  16384,   5476,  20,  21,   1, 115791568, 115538840, 115567000, 115344888, 115860664
 17407,  16,  16384,  41661,  21,  23,   2, 115775272, 113592136, 115894536, 116051096, 113245552
 17408,  16,  16384,  26734,  23,  11,   3, 112109792, 112034272, 113118144, 111926824, 111556824
 17409,  16,  16384,   7249,  11,  10,   1, 111462216, 111450240, 110366656, 111261632, 110894312
 17410,  16,  16384,  33136,  10,  11,   1, 111006400, 110699904, 110993880, 110712104, 110327008
 17411,  16,  16384,  22653,  11,  13,   3, 111332544, 111340928, 111420040, 111195320, 114276136
 17412,  16,  16384,   4503,  13,  17,   2, 114206400, 114378784, 114220288, 114089920, 115931176
 17413,  16,  16384,  34127,  17,  18,   3, 116079720, 109967968, 115696896, 114088808, 110860256
 17414,  16,  16384,   5408,  18,  19,   1, 112653496, 112533256, 112356896, 112297216, 113302824
 17415,  16,  16384,  18878,  19,  23,   2, 112430352, 111249048, 112093560, 113078688, 113240184
 17416,  16,  16384,  33376,  23,  23,   0, 112026728, 113236008, 113151632, 113445616, 113308864
 17417,  16,  16384,  31298,  23,  22,   1, 113392576, 113075272, 112409808, 105185640, 112693576
 17418,  16,  16384,  12450,  22,  22,   0, 112489000, 112485952, 109861784, 112413272, 112687024
 17419,  16,  16384,   3856,  22,  22,   0, 112622056, 112547168, 112189712, 111235792, 107764112
 17420,  16,  16384,   4151,  22,  23,   1, 112830224, 112534600, 112483928, 112304552, 113165264
 17421,  16,  16384,  15654,  23,  22,   1, 113304904, 113063440, 113167912, 113142496, 112685784
 17422,  16,  16384,  25744,  22,  18,   2, 112717680, 109648560, 107235560, 112551256, 112508472
 17423,  16,  16384,   4052,  18,  21,   2, 112603856, 112493616, 109958344, 112447696, 115948512
 17424,  16,  16384,   2568,  21,  20,   1, 116128344, 114558832, 115702184, 115961840, 115567664
 17425,  16,  16384,  13642,  20,  20,   0, 115605384, 115393840, 115410992, 115585584, 113531112
 17426,  16,  16384,  43943,  20,  22,   2, 114014800, 115441080, 114205656, 115299008, 111515560
 17427,  16,  16384,  30141,  22,  23,   1, 112853896, 112483848, 112464080, 112178256, 113284584
 17428,  16,  16384,  16621,  23,  22,   1, 113370144, 112965608, 113278536, 113235760, 112537384
 17429,  16,  16384,  22589,  22,  21,   2, 110196608, 112245536, 112474720, 112313888, 116156344
 17430,  16,  16384,  17970,  21,  21,   0, 114989240, 114040784, 111805096, 116211592, 116012248
 17431,  16,  16384,  16192,  21,  21,   0, 114510408, 115736848, 115766264, 116044480, 114548336
 17432,  16,  16384,   8798,  21,   2,   3, 116369864, 114650536, 114713184, 115960392, 110884208
 17433,  16,  16384,  13234,   2,   3,   1, 110806400, 110632240, 111030248, 108686424, 111451344
 17434,  16,  16384,  38167,   3,   3,   0, 110376944, 110601688, 110829184, 110052072, 111256768
 17435,  16,  16384,  32861,   3,  12,   3, 111363792, 111387712, 111275232, 111381648, 112835496
 17436,  16,  16384,  19259,  12,   9,   3, 113892192, 113567480, 113603400, 113463032, 114002224
 17437,  16,  16384,  21107,   9,  10,   2, 113247440, 114188368, 113716808, 114370696, 110959936
 17438,  16,  16384,  37758,  10,   1,   3, 103032480, 110719560, 110798552, 110994664, 114325568
 17439,  16,  16384,  12252,   1,   0,   1, 113830592, 113837440, 113877176, 113701600, 113660864
 17440,  16,  16384,  38874,   0,   0,   0, 113714208, 112622440, 113704024, 112393504, 113806232
 17441,  16,  16384,  40601,   0,   0,   0, 113896456, 113542776, 113772000, 113748968, 112381880
 17442,  16,  16384,  25863,   0,   4,   2, 106644840, 113438904, 113726632, 112695680, 113839864
 17443,  16,  16384,  21640,   4,  21,   3, 112692104, 113619128, 113692968, 113418424, 116003360
 17444,  16,  16384,   6212,  21,  15,   3, 116292088, 115870024, 114246496, 114849320, 111785808
 17445,  16,  16384,   4017,  15,  14,   1, 111911016, 111509024, 104220008, 111217152, 109868360
 17446,  16,  16384,  28250,  14,  13,   2, 111119920, 109276976, 110544472, 110910304, 107366600
 17447,  16,  16384,  46532,  13,  12,   1, 114457448, 112855608, 114037856, 114128520, 113956880
 17448,  16,  16384,  14638,  12,  13,   1, 114085240, 113910320, 113676720, 113696696, 114175424
 17449,  16,  16384,  39883,  13,   6,   3, 114113008, 106968760, 114174824, 113057264, 107773552
 17450,  16,  16384,   8183,   6,   9,   2, 110113584, 110074992, 109843040, 109901960, 113161496
 17451,  16,  16384,   6747,   9,   7,   2, 114317760, 113917456, 107414432, 112734504, 111490904
 17452,  16,  16384,   6595,   7,  19,   3, 111336736, 109088128, 110050592, 111547104, 107941512
 17453,  16,  16384,  21233,  19,  18,   1, 112099456, 113227192, 113404304, 113097144, 112546096
 17454,  16,  16384,  41980,  18,   5,   3, 111299576, 112447360, 112696880, 109976384, 113045920
 17455,  16,  16384,  39383,   5,   5,   0, 114143360, 113828816, 114058824, 113936952, 114332872
 17456,  16,  16384,  25986,   5,   5,   0, 113686968, 107516632, 114080064, 113978296, 113432112
 17457,  16,  16384,  11676,   5,  22,   3, 113806992, 112988976, 114193480, 114297832, 112693000
 17458,  16,  16384,   2107,  22,  22,   0, 111142112, 112395488, 112291384, 111450408, 106879992
 17459,  16,  16384,  40354,  22,  17,   3, 110248240, 112413104, 112821736, 112297960, 114784024
 17460,  16,  16384,  22973,  17,  14,   2, 115984200, 115994504, 115905472, 110033016, 109957456
 17461,  16,  16384,  47984,  14,   0,   3, 110857992, 103643648, 110735248, 110971312, 113720160
 17462,  16,  16384,  23352,   0,   4,   2, 113836944, 113770072, 113817224, 112576920, 112563208
 17463,  16,  16384,  22141,   4,   5,   1, 114029024, 113609808, 113534528, 113526104, 114138936
 17464,  16,  16384,  35647,   5,   5,   0, 112772368, 113767024, 114073256, 113806560, 114269064
 17465,  16,  16384,  28261,   5,   4,   1, 114181856, 113067360, 112708376, 107694704, 113857224
 17466,  16,  16384,     85,   4,   9,   3, 113018392, 112081728, 107627608, 113995120, 114086024
 17467,  16,  16384,  22227,   9,   9,   0, 114507352, 112508768, 114206344, 113952976, 108103064
 17468,  16,  16384,  27080,   9,  10,   2, 113265960, 113837784, 112924552, 114331032, 110969000
 17469,  16,  16384,  27477,  10,   6,   2, 111160176, 109624512, 110735792, 110705696, 109373336
 17470,  16,  16384,    779,   6,   6,   0, 105193144, 108939736, 110213208, 110235128, 110209960
 17471,  16,  16384,  14276,   6,  17,   3, 109071432, 106942984, 110275888, 110045176, 115806928
 17472,  16,  16384,  48859,  17,  17,   0, 116186512, 116043008, 115297800, 115695464, 114623928
 17473,  16,  16384,  23138,  17,  16,   1, 114683736, 115850560, 115903440, 115916416, 115674888
 17474,  16,  16384,   9723,  16,  17,   1, 114501008, 115277624, 115188096, 114293888, 115753848
 17475,  16,  16384,  12175,  17,  16,   1, 108739504, 113604168, 114552776, 115724224, 115804816
 17476,  16,  16384,   2676,  16,   9,   3, 115817304, 115334832, 114070376, 115354256, 114378992
 17477,  16,  16384,  14971,   9,  10,   2, 114170872, 113038072, 107056064, 113383056, 103942528
 17478,  16,  16384,  38531,  10,  11,   1, 109835392, 111088512, 111027400, 110956424, 105946440
 17479,  16,  16384,  18808,  11,  11,   0, 111395136, 111447816, 110271592, 111356528, 111634280
 17480,  16,  16384,  19377,  11,   9,   2, 111319672, 111521112, 110373488, 111556336, 114343264
 17481,  16,  16384,  14511,   9,  20,   3, 114086352, 114150776, 114081368, 114104128, 115703784
 17482,  16,  16384,  46816,  20,  22,   2, 115927648, 115469416, 106972656, 115352880, 112386544
 17483,  16,  16384,  20737,  22,  19,   2, 111191472, 112558272, 112351616, 112485848, 112243800
 17484,  16,  16384,  11469,  19,  18,   1, 113507376, 113100992, 113247752, 113066224, 112797456
 17485,  16,  16384,  47789,  18,  18,   0, 112665472, 112153696, 111178056, 112224880, 106841480
 17486,  16,  16384,  29554,  18,  11,   3, 112575160, 111302936, 112561720, 112379008, 111696384
 17487,  16,  16384,  32463,  11,  11,   0, 111912424, 110283424, 110732424, 111555376, 111836968
 17488,  16,  16384,   3520,  11,  10,   1, 111871664, 105629928, 110446248, 110324056, 111325016
 17489,  16,  16384,  47918,  10,  16,   3, 110902960, 103637440, 110842912, 110850696, 115835200
 17490,  16,  16384,  15266,  16,  16,   0, 114311920, 115425336, 115481960, 115295296, 114652320
 17491,  16,  16384,  13912,  16,  14,   2, 115698632, 115484192, 113987968, 115416984, 111003360
 17492,  16,  16384,  20860,  14,  13,   2, 111221656, 110806440, 110802456, 110889704, 113209168
 17493,  16,  16384,  35857,  13,   1,   3, 108305616, 114129392, 113866880, 111687944, 113629696
 17494,  16,  16384,  18319,   1,  15,   3, 113296560, 113131000, 114027496, 114047776, 111927176
 17495,  16,  16384,  33428,  15,  14,   1, 110591312, 111600704, 110260592, 111445704, 109943432
 17496,  16,  16384,  16544,  14,  21,   3, 111222984, 111055248, 110962872, 111178536, 116051408
 17497,  16,  16384,  27928,  21,  21,   0, 115966936, 115748856, 115655048, 114719480, 116054160
 17498,  16,  16384,  33841,  21,  10,   3, 116152632, 114769640, 109882640, 114542896, 110868448
 17499,  16,  16384,  36614,  10,  11,   1, 110969272, 111205512, 110769968, 110906400, 110543504
 17500,  16,  16384,  38028,  11,  11,   0, 111498072, 105441032, 111294784, 110091336, 111689552
 17501,  16,  16384,   8984,  11,   7,   2, 110530640, 111730904, 111617336, 110343456, 111291704
 17502,  16,  16384,  46517,   7,  10,   2, 111046856, 110931160, 110380624, 111496488, 110941712
 17503,  16,  16384,  45981,  10,   8,   2, 110812864, 111217872, 110871296, 110602360, 113815024
 17504,  16,  16384,  48733,   8,   4,   3, 113816432, 112493528, 113905880, 113715784, 114306584
 17505,  16,  16384,   8289,   4,   0,   2, 108000760, 113409944, 113737480, 113938960, 113217888
 17506,  16,  16384,   1600,   0,   0,   0, 112610144, 113835168, 113308744, 113588968, 112307832
 17507,  16,  16384,  39850,   0,   0,   0, 113515464, 111534240, 113425560, 113654400, 113460888
 17508,  16,  16384,  20567,   0,   1,   1, 113739592, 113456248, 112241392, 113795032, 114191264
 17509,  16,  16384,  26683,   1,  17,   3, 113975496, 107722392, 114246368, 112774888, 115931072
 17510,  16,  16384,   4011,  17,  16,   1, 114620064, 115875768, 114619592, 115799456, 109606232
 17511,  16,  16384,  44405,  16,  16,   0, 115440416, 115394320, 113879360, 115179264, 114282344
 17512,  16,  16384,  28654,  16,  15,   2, 115948024, 115307464, 114334304, 114105184, 111868184
 17513,  16,  16384,  35700,  15,  15,   0, 105625392, 111458152, 111243056, 110244360, 111574784
 17514,  16,  16384,  36630,  15,  15,   0, 111997360, 111392344, 111370664, 110419192, 111581896
 17515,  16,  16384,  11110,  15,  15,   0, 111694272, 111544416, 109268720, 107601016, 111605280
 17516,  16,  16384,   4496,  15,  15,   0, 110602712, 111418144, 111501888, 111596200, 111952184
 17517,  16,  16384,  26892,  15,  15,   0, 110709496, 110539696, 110298328, 111556360, 111386120
 17518,  16,  16384,   6895,  15,   8,   3, 111527520, 105545440, 111463528, 110548144, 114028336
 17519,  16,  16384,  31146,   8,   9,   1, 113735464, 113596288, 111709888, 113434496, 114160256
 17520,  16,  16384,  29237,   9,   7,   2, 113051224, 114118640, 114227176, 113158288, 110667696
 17521,  16,  16384,  44017,   7,   2,   3, 111710056, 110062464, 111403952, 111476784, 111194032
 17522,  16,  16384,  44758,   2,   4,   2, 108451072, 110762448, 104837816, 110827584, 113988280
 17523,  16,  16384,  21649,   4,   2,   2, 112629560, 112560336, 113994096, 112817976, 110920928
 17524,  16,  16384,   1682,   2,   3,   1, 109852048, 110724936, 108144912, 110809200, 111236288
 17525,  16,  16384,  47599,   3,   5,   2, 110272352, 111152104, 111410112, 110043968, 113060512
 17526,  16,  16384,  15949,   5,   1,   2, 107018744, 114013632, 114061128, 114023968, 114259160
 17527,  16,  16384,  45880,   1,   1,   0, 112892304, 113977744, 113867104, 113744256, 113010544
 17528,  16,  16384,  49483,   1,   3,   2, 114340496, 106623088, 112856832, 114078600, 111494816
 17529,  16,  16384,  14369,   3,  21,   3, 105513616, 110932416, 110663880, 111517520, 116165400
 17530,  16,  16384,  17580,  21,  20,   1, 115492040, 113756792, 115958168, 113312552, 115692672
 17531,  16,  16384,  47693,  20,  18,   2, 115333080, 115397248, 114526800, 115164736, 111552152
 17532,  16,  16384,  25837,  18,  19,   1, 112761848, 112478472, 112517968, 112743536, 113252440
 17533,  16,  16384,  47532,  19,  14,   3, 113301008, 113060536, 106276936, 113197696, 111047296
 17534,  16,  16384,  20430,  14,  16,   2, 102848872, 110779800, 110900360, 110883512, 109766360
 17535,  16,  16384,   3616,  16,  15,   2, 114462344, 114951640, 115400416, 115389512, 111554824
 17536,  16,  16384,   6115,  15,   7,   3, 105809736, 111562096, 111652176, 111499056, 107413728
 17537,  16,  16384,  26096,   7,   6,   1, 111540968, 111321744, 111435336, 111506824, 110351472
 17538,  16,  16384,   6710,   6,  10,   2, 107761440, 109907336, 110080168, 110086448, 110820536
 17539,  16,  16384,  28913,  10,  11,   1, 108600784, 110927368, 110864120, 110581576, 111591688
 17540,  16,  16384,  39742,  11,  10,   1, 109515736, 106733640, 111256392, 110167200, 111174904
 17541,  16,  16384,  22830,  10,   1,   3, 111103760, 109593608, 109842464, 110668040, 113444328
 17542,  16,  16384,  22497,   1,   0,   1, 113228880, 113838184, 113922088, 113937792, 107528296
 17543,  16,  16384,  17278,   0,   1,   1, 113757584, 113567704, 113524560, 112283152, 113117400
 17544,  16,  16384,  27961,   1,  15,   3, 114149312, 107299576, 113240928, 114210376, 110557616
 17545,  16,  16384,   4799,  15,  16,   2, 111318504, 110595952, 111511016, 111529328, 114599752
 17546,  16,  16384,  39048,  16,   0,   3, 115626872, 115655432, 113927696, 115369592, 112479368
 17547,  16,  16384,   6934,   0,  22,   3, 113896432, 113344784, 113462720, 113696792, 112678032
 17548,  16,  16384,   7688,  22,  19,   2, 111421232, 106614880, 112333416, 112311632, 113685464
 17549,  16,  16384,  40544,  19,  19,   0, 113024056, 113264408, 113266288, 113263856, 113462776
 17550,  16,  16384,   7251,  19,  19,   0, 106506480, 111990256, 111906624, 113398760, 111957144
 17551,  16,  16384,  16373,  19,  23,   2, 113161968, 113452976, 113135368, 113130248, 113642744
 17552,  16,  16384,  17900,  23,  22,   1, 113504536, 113378080, 107771128, 111801240, 106820208
 17553,  16,  16384,  36863,  22,  22,   0, 112452968, 112278184, 112530528, 112479784, 112907064
 17554,  16,  16384,   3743,  22,  20,   2, 111028264, 111494424, 112521424, 112422800, 115522008
 17555,  16,  16384,   8890,  20,  15,   3, 115524280, 110664592, 112757416, 112792168, 110602808
 17556,  16,  16384,  49435,  15,  15,   0, 111648144, 111319888, 111534416, 111502152, 111568024
 17557,  16,  16384,  40186,  15,  15,   0, 110414344, 110388816, 110671368, 111622648, 111467296
 17558,  16,  16384,  19154,  15,  14,   1, 105930896, 110360736, 111593264, 111548736, 111161016
 17559,  16,  16384,  48433,  14,  14,   0, 111004664, 109771168, 109901520, 110735312, 110123696
 17560,  16,  16384,  30258,  14,  14,   0, 111115696, 111019840, 111157184, 109807856, 110994248
 17561,  16,  16384,  47359,  14,   9,   3, 105042056, 110994656, 111074152, 109752968, 114100768
 17562,  16,  16384,  18435,   9,   8,   1, 112043128, 113992152, 107844512, 113853064, 113611552
 17563,  16,  16384,   2048,   8,   9,   1, 113695072, 113665184, 113573336, 113477152, 114400944
 17564,  16,  16384,  36436,   9,  16,   3, 114330528, 113189728, 113625792, 112586744, 115487944
 17565,  16,  16384,  47613,  16,  17,   1, 115718384, 115484848, 113938968, 115606808, 115111040
 17566,  16,  16384,  21128,  17,  17,   0, 116120840, 115852072, 115819016, 109013624, 116056880
 17567,  16,  16384,   3348,  17,  16,   1, 115532064, 114907496, 115774552, 116050536, 115583504
 17568,  16,  16384,  32950,  16,  15,   2, 115266920, 115238592, 114356960, 115529840, 111704376
 17569,  16,  16384,  35208,  15,  16,   2, 105716104, 111479648, 110734464, 111137784, 114423824
 17570,  16,  16384,  38009,  16,   1,   3, 115535472, 115382248, 115513496, 114259496, 112928960
 17571,  16,  16384,  48797,   1,  20,   3, 113975720, 106527824, 114017848, 112932016, 115595536
 17572,  16,  16384,  26103,  20,  21,   1, 114247424, 115293128, 114960912, 115432304, 116026520
 17573,  16,  16384,  44838,  21,  13,   3, 110107464, 114385784, 114243664, 115857872, 114277904
 17574,  16,  16384,   3757,  13,  12,   1, 114186928, 114275976, 113024152, 114209008, 113955208
 17575,  16,  16384,   8528,  12,  12,   0, 112603160, 113653136, 113047272, 113275296, 112405024
 17576,  16,  16384,    773,  12,  14,   2, 113712480, 113964528, 112439648, 113643608, 110980848
 17577,  16,  16384,  43285,  14,  14,   0, 108801928, 110833296, 110826736, 111083784, 111179440
 17578,  16,  16384,  27559,  14,  15,   1, 111001472, 110873680, 109951824, 104702512, 110384424
 17579,  16,  16384,  16598,  15,  14,   1, 110558576, 111495256, 111293216, 110432088, 110832256
 17580,  16,  16384,   8722,  14,  15,   1, 111072848, 109582416, 110711336, 111046080, 110488560
 17581,  16,  16384,  21197,  15,  16,   2, 111506784, 110290120, 110470816, 111385232, 114303776
 17582,  16,  16384,  15690,  16,  13,   2, 115798704, 114178704, 115400256, 115457368, 114275608
 17583,  16,  16384,   2860,  13,   7,   3, 114397568, 114387024, 114047704, 114046144, 111439888
 17584,  16,  16384,  19484,   7,   6,   1, 111502488, 111493184, 110421456, 109997280, 108883192
 17585,  16,  16384,   8668,   6,   8,   2, 110183568, 109867136, 108570400, 104361504, 114029568
 17586,  16,  16384,  20893,   8,   7,   2, 113626208, 113296728, 113023624, 112979280, 110167816
 17587,  16,  16384,   8556,   7,  10,   2, 111401600, 111138752, 110631704, 111505688, 109611440
 17588,  16,  16384,  25658,  10,   7,   2, 111118832, 104762432, 110633392, 110764760, 111327592
 17589,  16,  16384,  15389,   7,  22,   3, 111518704, 110561448, 110306016, 111574344, 112456168
 17590,  16,  16384,  45987,  22,   1,   3, 112805960, 111471320, 111986024, 111370608, 114049296
 17591,  16,  16384,   7439,   1,   1,   0, 113744312, 112373344, 113093240, 113929688, 114068528
 17592,  16,  16384,  33437,   1,   0,   1, 105446848, 113994920, 112622240, 114251624, 113754984
 17593,  16,  16384,  40352,   0,   3,   2, 113811824, 113791208, 113666584, 111162232, 110088848
 17594,  16,  16384,   9688,   3,  21,   3, 110210888, 111280488, 111412792, 111202168, 115916248
 17595,  16,  16384,  34510,  21,  23,   2, 116033024, 115573696, 115587080, 115940072, 111785320
 17596,  16,  16384,   7753,  23,  21,   2, 112171088, 107329280, 111822312, 113255336, 116194696
 17597,  16,  16384,  42199,  21,  15,   3, 116354200, 110049496, 115944032, 115782712, 111557144
 17598,  16,  16384,  10382,  15,  14,   1, 111852688, 110657520, 110480800, 110409712, 108799832
 17599,  16,  16384,  23549,  14,  16,   2, 111082440, 109653456, 110875656, 111133840, 114421344
 17600,  16,  16384,  10593,  16,   8,   3, 115555104, 115383024, 114085552, 109447864, 112805584
 17601,  16,  16384,  27704,   8,   8,   0, 113695920, 113489208, 113656192, 113449152, 113719688
 17602,  16,  16384,  13121,   8,   9,   1, 113040896, 112505680, 113873912, 113805120, 114117936
 17603,  16,  16384,  25461,   9,   9,   0, 114189560, 114017168, 112972616, 107970352, 114277112
 17604,  16,  16384,  17197,   9,   8,   1, 114080040, 114130456, 112685592, 113919776, 113575328
 17605,  16,  16384,  48030,   8,   8,   0, 113821176, 107849848, 112235616, 112596368, 113911000
 17606,  16,  16384,  37689,   8,   8,   0, 113845168, 113534840, 113677888, 113826720, 112836152
 17607,  16,  16384,   4166,   8,   9,   1, 113849872, 113611888, 113830496, 113697536, 113051344
 17608,  16,  16384,  43594,   9,   9,   0, 114401568, 107975592, 114031352, 114166136, 114253512
 17609,  16,  16384,  21899,   9,   8,   1, 113007184, 113367464, 113014736, 113722944, 113616680
 17610,  16,  16384,  15638,   8,   8,   0, 106506592, 112803928, 113302936, 113611416, 113668496
 17611,  16,  16384,  27702,   8,   8,   0, 113931808, 113795448, 113646912, 111293272, 113647024
 17612,  16,  16384,  13148,   8,  10,   2, 113875120, 113296864, 113499624, 103971688, 110701976
 17613,  16,  16384,   3607,  10,  10,   0, 111044320, 111075592, 104750432, 110664200, 111058768
 17614,  16,  16384,  31555,  10,  19,   3, 109824480, 111026432, 110939576, 110864136, 113222872
 17615,  16,  16384,  37813,  19,  11,   3, 113129856, 111913272, 113155968, 113083872, 111636048
 17616,  16,  16384,  38439,  11,  10,   1, 110572760, 111451560, 111781864, 110688440, 110355696
 17617,  16,  16384,  22776,  10,  10,   0, 109584528, 109511544, 110700296, 110815096, 111051088
 17618,  16,  16384,  17895,  10,  23,   3, 110991040, 104702952, 110641536, 109623392, 113539960
 17619,  16,  16384,  30653,  23,  21,   2, 113495560, 111903040, 113040536, 113144320, 116043088
 17620,  16,  16384,   1672,  21,  23,   2, 114838152, 115783072, 115785976, 114837488, 113524192
 17621,  16,  16384,  36107,  23,  23,   0, 113241536, 112996928, 112510312, 112103320, 113590600
 17622,  16,  16384,  25263,  23,   1,   3, 110839432, 113348448, 113371760, 113274648, 114085512
 17623,  16,  16384,  32777,   1,   0,   1, 112852632, 114119400, 113870776, 114145512, 107576176
 17624,  16,  16384,   8368,   0,  23,   3, 110465528, 113028408, 113769088, 113703808, 113472584
 17625,  16,  16384,   7590,  23,  22,   1, 106521760, 113355496, 112909432, 113156232, 112943744
 17626,  16,  16384,   8977,  22,  22,   0, 112589072, 106605456, 112372864, 111062800, 112475264
 17627,  16,  16384,  11592,  22,  22,   0, 112497640, 111311184, 112346376, 112157736, 111010016
 17628,  16,  16384,   5168,  22,  20,   2, 111845584, 112670456, 112346336, 112458896, 113905760
 17629,  16,  16384,  21481,  20,  21,   1, 115533520, 115185848, 115483936, 115115632, 115926352
 17630,  16,  16384,  20124,  21,  21,   0, 116339056, 115954856, 110146920, 115824536, 114688072
 17631,  16,  16384,  48712,  21,  21,   0, 115957104, 115964792, 114221040, 116004544, 116171472
 17632,  16,  16384,  12583,  21,  23,   2, 116268808, 115708152, 115934504, 115916872, 112197288
 17633,  16,  16384,  45616,  23,  18,   2, 113290096, 112044328, 112078144, 113292336, 111205568
 17634,  16,  16384,   6816,  18,   5,   3, 112547256, 112302512, 111490600, 111160616, 113919368
 17635,  16,  16384,  14581,   5,   5,   0, 114081056, 112575944, 107788728, 113778240, 114093816
 17636,  16,  16384,  19767,   5,  15,   3, 112935408, 114040696, 112849688, 114299040, 110604000
 17637,  16,  16384,  32222,  15,  15,   0, 111932576, 110208264, 111375040, 111457008, 110825304
 17638,  16,  16384,  24652,  15,  20,   3, 105884240, 111518680, 111478320, 110247904, 115754888
 17639,  16,  16384,  17362,  20,  18,   2, 115522408, 115465280, 115324648, 115365576, 112721976
 17640,  16,  16384,  37486,  18,  21,   2, 112548704, 111759616, 111614040, 106631912, 115948824
 17641,  16,  16384,  19975,  21,  21,   0, 114697344, 116244240, 115977800, 116174608, 116140232
 17642,  16,  16384,  10399,  21,  20,   1, 115899304, 115097408, 115058512, 109909664, 115457344
 17643,  16,  16384,  15029,  20,   1,   3, 115483280, 115214832, 115376056, 115575352, 114136832
 17644,  16,  16384,  34796,   1,  17,   3, 108047176, 114079656, 113949056, 113612136, 115896656
 17645,  16,  16384,  17017,  17,  17,   0, 116085312, 115999096, 114473232, 114610312, 116019464
 17646,  16,  16384,  10500,  17,  17,   0, 116119032, 115826400, 115396152, 114963784, 116100304
 17647,  16,  16384,  35670,  17,  17,   0, 115734648, 115520528, 116091744, 116049056, 114484776
 17648,  16,  16384,  28660,  17,  16,   1, 115075000, 115678520, 110190000, 115758968, 114050584
 17649,  16,  16384,  11338,  16,  17,   1, 112790128, 114190680, 115504976, 115369072, 115936496
 17650,  16,  16384,  17456,  17,  15,   2, 114710160, 114603976, 114602080, 115766864, 109395960
 17651,  16,  16384,  18224,  15,  14,   1, 111780272, 111727848, 105456680, 111344176, 110735920
 17652,  16,  16384,  26562,  14,  15,   1, 110972080, 102453048, 110800424, 110905824, 110375696
 17653,  16,  16384,  43960,  15,  14,   1, 111662712, 109528088, 110952920, 111764776, 111187344
 17654,  16,  16384,  19038,  14,   4,   3, 110030616, 111058592, 110916560, 103933944, 114025864
 17655,  16,  16384,  11489,   4,   2,   2, 113873584, 113574656, 113742512, 113648160, 110969536
 17656,  16,  16384,  48079,   2,   2,   0, 110843896, 110655024, 110787568, 109357352, 103913680
 17657,  16,  16384,  38269,   2,   3,   1, 110717304, 110921984, 110981016, 110629288, 110047696
 17658,  16,  16384,  46014,   3,   3,   0, 111325840, 110267648, 111031776, 110346544, 111505344
 17659,  16,  16384,  36747,   3,   5,   2, 111622216, 111364288, 111357096, 111371176, 113751480
 17660,  16,  16384,  37885,   5,   4,   1, 113034144, 113934648, 113875400, 114002848, 113709272
 17661,  16,  16384,  39723,   4,   4,   0, 113859912, 113610808, 112608384, 112583904, 113892456
 17662,  16,  16384,  41766,   4,   4,   0, 113694640, 113842648, 111529312, 107754152, 113611248
 17663,  16,  16384,  42227,   4,   5,   1, 113943912, 113671952, 113737248, 113554128, 114026176
 17664,  16,  16384,  49231,   5,   4,   1, 113943456, 114089872, 112947888, 114126120, 114170752
 17665,  16,  16384,  45802,   4,   4,   0, 113772424, 113917400, 113745272, 113626976, 112147944
 17666,  16,  16384,  41812,   4,   5,   1, 112353976, 113780608, 113449296, 113461624, 114228016
 17667,  16,  16384,   2507,   5,   7,   3, 114301928, 113971360, 113771328, 112362520, 111283160
 17668,  16,  16384,  15135,   7,   6,   1, 111763048, 111408896, 103923928, 111084824, 110205184
 17669,  16,  16384,  23287,   6,  12,   3, 110323400, 110137720, 109985456, 107522776, 113939744
 17670,  16,  16384,  31316,  12,  17,   2, 112618688, 113786168, 113845960, 113879352, 116512120
 17671,  16,  16384,  35759,  17,   2,   3, 115937616, 114526920, 110239152, 115784320, 110812824
 17672,  16,  16384,  43723,   2,   3,   1, 111081840, 110789416, 110706024, 110860232, 110255080
 17673,  16,  16384,  17156,   3,   2,   1, 111492120, 108896680, 110537040, 105013360, 110857208
 17674,  16,  16384,  13680,   2,   2,   0, 108659712, 110800088, 110813424, 110813720, 111076080
 17675,  16,  16384,  37263,   2,   2,   0, 109975568, 110345016, 104571808, 109591424, 110805736
 17676,  16,  16384,  47337,   2,   2,   0, 110718080, 110544008, 109504168, 109551208, 110695400
 17677,  16,  16384,  15517,   2,   5,   2, 110728824, 110868696, 109696384, 110722224, 113047128
 17678,  16,  16384,  20833,   5,   5,   0, 114139632, 114092208, 113062160, 114436864, 114199736
 17679,  16,  16384,  42882,   5,   2,   2, 113985712, 113121416, 107933864, 112847696, 110936440
 17680,  16,  16384,   6730,   2,   1,   2, 106589640, 108017584, 110637288, 110816680, 113004368
 17681,  16,  16384,  22458,   1,   0,   1, 114102344, 113849616, 114014720, 112813568, 113782152
 17682,  16,  16384,  44300,   0,   1,   1, 113821768, 110733384, 113376096, 113652224, 113877784
 17683,  16,  16384,  19636,   1,   6,   3, 113632976, 113066264, 113960432, 113793704, 110048528
 17684,  16,  16384,  20149,   6,   6,   0, 109388224, 110166784, 110113304, 110190632, 109022840
 17685,  16,  16384,   6454,   6,   8,   2, 110011944, 109827152, 103063816, 110146872, 107527776
 17686,  16,  16384,  42202,   8,  22,   3, 113121448, 112272848, 113772432, 113533912, 112572632
 17687,  16,  16384,  13287,  22,  23,   1, 112467656, 112310312, 106575728, 112303896, 113327256
 17688,  16,  16384,   3965,  23,  23,   0, 113223240, 113394144, 113344728, 113342136, 113037832
 17689,  16,  16384,  21491,  23,   4,   3, 105357696, 112187680, 112191360, 113296536, 113775968
 17690,  16,  16384,  22427,   4,   0,   2, 113877120, 113741304, 113645864, 111597768, 114022000
 17691,  16,  16384,  45782,   0,   1,   1, 113567016, 113685464, 113622392, 113384296, 113814992
 17692,  16,  16384,  43863,   1,   8,   3, 113067264, 114175960, 113877400, 112661448, 113754224
 17693,  16,  16384,  28286,   8,   8,   0, 113723024, 113552984, 113546800, 113403016, 113557040
 17694,  16,  16384,   9411,   8,   9,   1, 109147664, 114017152, 113707968, 113671792, 113315752
 17695,  16,  16384,  47577,   9,   7,   2, 114196752, 107988912, 113957256, 112830016, 110662824
 17696,  16,  16384,   8597,   7,   6,   1, 111536424, 111318344, 111456088, 111507016, 109957856
 17697,  16,  16384,  38810,   6,   6,   0, 109972488, 110161456, 109995304, 108784232, 109934376
 17698,  16,  16384,  28774,   6,   9,   2, 109126640, 109964584, 109900080, 110073208, 114440320
 17699,  16,  16384,  43642,   9,   9,   0, 112899584, 113963992, 114074888, 112841968, 108194232
 17700,  16,  16384,   3512,   9,   8,   1, 113196640, 112822000, 114126040, 114258200, 110337672
 17701,  16,  16384,  16526,   8,  15,   3, 112947568, 113755600, 113768328, 113877952, 111750800
 17702,  16,  16384,    927,  15,  14,   1, 111691056, 105533968, 109276632, 111117152, 111156664
 17703,  16,  16384,  19305,  14,   1,   3, 110932552, 110726248, 102568472, 110455992, 113271256
 17704,  16,  16384,  14091,   1,   1,   0, 113672760, 114020384, 112895400, 113918056, 113305136
 17705,  16,  16384,  11519,   1,   4,   2, 114170256, 106172328, 113916832, 113875272, 111667184
 17706,  16,  16384,  35705,   4,   2,   2, 114050328, 113830192, 113705536, 113857896, 110633096
 17707,  16,  16384,  25417,   2,   8,   3, 110865528, 110791440, 108560472, 110706656, 113560456
 17708,  16,  16384,  26382,   8,   8,   0, 112565128, 111485296, 113758952, 113646792, 112655848
 17709,  16,  16384,  47130,   8,   9,   1, 113559656, 107574408, 113567728, 113609120, 113949976
 17710,  16,  16384,  46294,   9,   8,   1, 114292744, 114154344, 114229088, 114139960, 114143800
 17711,  16,  16384,   7110,   8,   9,   1, 112833784, 113891744, 109702896, 111303496, 113445840
 17712,  16,  16384,  42528,   9,   8,   1, 114001448, 114377184, 114103000, 114188992, 111504464
 17713,  16,  16384,  24117,   8,   9,   1, 113750928, 113438224, 112512088, 113840944, 109581712
 17714,  16,  16384,  26180,   9,  11,   2, 111860560, 113063760, 114167096, 113911568, 111411352
 17715,  16,  16384,  24878,  11,  11,   0, 111501600, 111252568, 111433400, 110489720, 111623824
 17716,  16,  16384,   8202,  11,   3,   3, 111583312, 108950136, 110239704, 111393800, 111135592
 17717,  16,  16384,  15997,   3,   2,   1, 110515104, 111295688, 110291528, 111463272, 111032936
 17718,  16,  16384,  35715,   2,  21,   3, 111111816, 110648920, 109336352, 110247328, 116192064
 17719,  16,  16384,  38559,  21,  20,   1, 116117448, 114509136, 116148080, 115666424, 113538224
 17720,  16,  16384,  29566,  20,   1,   3, 115520312, 114150104, 115332296, 114368544, 113010776
 17721,  16,  16384,  31856,   1,   1,   0, 107918032, 113823688, 113029560, 113895520, 114425024
 17722,  16,  16384,  10256,   1,   1,   0, 113920152, 114149688, 114065200, 114031648, 112812344
 17723,  16,  16384,  36427,   1,  18,   3, 114058992, 112850792, 114178264, 107673272, 111367888
 17724,  16,  16384,    418,  18,  19,   1, 112613680, 112394056, 112080608, 112533672, 113626848
 17725,  16,  16384,  40929,  19,  22,   2, 113296864, 111549128, 105889408, 113360392, 112628768
 17726,  16,  16384,  13523,  22,   8,   3, 112920840, 111507688, 112404752, 112660016, 112836408
 17727,  16,  16384,  28790,   8,   7,   2, 112705632, 113570504, 111025392, 109741552, 111406680
 17728,  16,  16384,  17899,   7,  16,   3, 110338776, 111480824, 111274136, 110167720, 115702864
 17729,  16,  16384,  46451,  16,  15,   2, 115716528, 115874904, 112868864, 115879296, 110471064
 17730,  16,  16384,   9758,  15,  11,   3, 110510792, 111862568, 111138064, 110682064, 111384344
 17731,  16,  16384,  34331,  11,   0,   3, 111983208, 110213536, 105359632, 111425976, 113852872
 17732,  16,  16384,  18169,   0,   1,   1, 112974456, 113598624, 112303424, 112227200, 113082672
 17733,  16,  16384,  11235,   1,   0,   1, 114004296, 114298120, 113542424, 113053256, 113851936
 17734,  16,  16384,    872,   0,   0,   0, 106186744, 113568136, 112398488, 113764672, 113811496
 17735,  16,  16384,  10328,   0,   4,   2, 111192624, 113561536, 113708688, 113426096, 107425200
 17736,  16,  16384,  29565,   4,   4,   0, 114047600, 113905680, 113830376, 112482232, 113666192
 17737,  16,  16384,  44895,   4,   5,   1, 112756560, 113534616, 113044288, 111972272, 114065624
 17738,  16,  16384,  15119,   5,  12,   3, 113881304, 112782392, 114078224, 113908784, 107633824
 17739,  16,  16384,     52,  12,  17,   2, 113956256, 113372272, 113384784, 113476096, 114718536
 17740,  16,  16384,  23090,  17,   1,   3, 116100024, 115882904, 114259552, 115811632, 112839880
 17741,  16,  16384,  17615,   1,   2,   2, 114089168, 113857872, 113951896, 114093256, 104916192
 17742,  16,  16384,  42118,   2,   2,   0, 110904704, 109498488, 110975880, 110819784, 109990832
 17743,  16,  16384,  21172,   2,  12,   3, 110843824, 109693560, 110640352, 110657952, 113841352
 17744,  16,  16384,  44895,  12,  13,   1, 113768016, 113455072, 113679024, 111159000, 113412480
 17745,  16,  16384,  25546,  13,   4,   3, 111479992, 114005248, 113235120, 114314072, 112826320
 17746,  16,  16384,    148,   4,   5,   1, 113880000, 114086160, 113327944, 113697632, 113414800
 17747,  16,  16384,  49190,   5,   4,   1, 114151184, 112855400, 106319512, 113932040, 112730648
 17748,  16,  16384,  33227,   4,   4,   0, 113751280, 113010080, 113795720, 113953504, 113571824
 17749,  16,  16384,   8340,   4,   4,   0, 113890672, 112268472, 112668816, 113537144, 113848832
 17750,  16,  16384,  23693,   4,   4,   0, 113898264, 106450088, 114028240, 112772840, 113894744
 17751,  16,  16384,  43032,   4,   5,   1, 113545400, 113693184, 113751024, 113623976, 112737120
 17752,  16,  16384,    660,   5,   4,   1, 113948824, 113820208, 112826192, 113888152, 113113144
 17753,  16,  16384,   2280,   4,   1,   2, 113311688, 113769096, 113711992, 113636448, 114018888
 17754,  16,  16384,  39146,   1,   3,   2, 113169376, 113797392, 112604216, 114196024, 111561640
 17755,  16,  16384,   6677,   3,   1,   2, 111165992, 109955640, 111259064, 111383536, 114088776
 17756,  16,  16384,  42449,   1,   2,   2, 107240528, 114084248, 112849104, 113705472, 111096544
 17757,  16,  16384,   6401,   2,   3,   1, 110766872, 110738224, 110593656, 104702328, 111138304
 17758,  16,  16384,  44198,   3,   3,   0, 110355728, 111464512, 111484184, 109099472, 111565784
 17759,  16,  16384,  16956,   3,   2,   1, 111521296, 111284024, 110125248, 106112224, 104835664
 17760,  16,  16384,  30713,   2,   2,   0, 110861480, 110886688, 108175344, 110694168, 109851040
 17761,  16,  16384,   4378,   2,   1,   2, 109947488, 110846224, 110700440, 110518408, 114143864
 17762,  16,  16384,  26618,   1,   1,   0, 112821488, 113926168, 114126760, 114062656, 114169824
 17763,  16,  16384,  39584,   1,   0,   1, 106864480, 114110424, 112999440, 113803280, 113771216
 17764,  16,  16384,   9989,   0,   4,   2, 112389648, 113629216, 112462392, 107636256, 114078264
 17765,  16,  16384,  49414,   4,   1,   2, 113672224, 107879904, 113767488, 113766144, 113855296
 17766,  16,  16384,   7183,   1,   0,   1, 114035936, 112801664, 114224528, 114252936, 113965552
 17767,  16,  16384,  41871,   0,   3,   2, 113841824, 113734984, 113318136, 113811200, 111116824
 17768,  16,  16384,  34436,   3,  11,   3, 111588088, 111340096, 105270808, 111694928, 111722952
 17769,  16,  16384,  21275,  11,  11,   0, 110821136, 111175576, 105776568, 111096184, 111335912
 17770,  16,  16384,   1226,  11,   9,   2, 111395872, 110129456, 111429352, 111557816, 114166048
 17771,  16,  16384,    435,   9,   8,   1, 113175864, 114172664, 114274424, 112914096, 113921448
 17772,  16,  16384,  12619,   8,   6,   2, 113939192, 113574104, 113534680, 112718112, 108985496
 17773,  16,  16384,  36203,   6,   8,   2, 105457552, 110033888, 110082544, 109898528, 113600344
 17774,  16,  16384,  23418,   8,  10,   2, 113925288, 113520904, 113552872, 113685696, 111300984
 17775,  16,  16384,   6006,  10,  11,   1, 110960872, 110615784, 109828624, 110990040, 111667480
 17776,  16,  16384,  37373,  11,   9,   2, 111464384, 110493424, 111583352, 105602272, 112191848
 17777,  16,  16384,    395,   9,   8,   1, 114201248, 108118648, 114007112, 113928672, 112215240
 17778,  16,  16384,  24715,   8,   6,   2, 113400168, 107771272, 113776304, 113460200, 109184440
 17779,  16,  16384,  43787,   6,  10,   2, 110334688, 110148568, 109375128, 109503272, 110011976
 17780,  16,  16384,   5241,  10,   8,   2, 109838200, 111030496, 110703600, 110652968, 113554392
 17781,  16,  16384,  19373,   8,   2,   3, 113739112, 113531080, 113885720, 113418392, 109739232
 17782,  16,  16384,  14644,   2,   2,   0, 111154208, 111105152, 104760496, 111020032, 110895744
 17783,  16,  16384,  29886,   2,   3,   1, 109678776, 110906944, 109619912, 110753024, 110852264
 17784,  16,  16384,  12984,   3,   2,   1, 111720184, 110245416, 105428456, 111300800, 104685744
 17785,  16,  16384,  48108,   2,   3,   1, 110998392, 110705608, 109460328, 110916984, 111716200
 17786,  16,  16384,  41097,   3,   5,   2, 110379136, 111199824, 111263680, 110063896, 114078160
 17787,  16,  16384,  19916,   5,   5,   0, 114093720, 113990888, 113922440, 112977976, 112973800
 17788,  16,  16384,  14805,   5,   5,   0, 113805840, 113369496, 110713176, 110955784, 112581592
 17789,  16,  16384,  49628,   5,   4,   1, 114017752, 114045928, 113808608, 114127200, 114057408
 17790,  16,  16384,   4758,   4,  19,   3, 113962120, 113859960, 113796544, 113588896, 112988320
 17791,  16,  16384,   9310,  19,  18,   1, 112107112, 113374424, 113330112, 113228176, 109857408
 17792,  16,  16384,  28225,  18,  19,   1, 112806896, 111405520, 112599712, 112695760, 110713992
 17793,  16,  16384,  22463,  19,  19,   0, 113508080, 113194864, 111859736, 113493680, 113168096
 17794,  16,  16384,  17997,  19,  19,   0, 113370320, 113118040, 113574224, 113189880, 113553264
 17795,  16,  16384,  33280,  19,  19,   0, 113529440, 104505768, 113075512, 113041864, 112130448
 17796,  16,  16384,  12295,  19,   3,   3, 113595080, 113255664, 113037184, 113032696, 111530336
 17797,  16,  16384,  13132,   3,   4,   2, 111379008, 110246216, 111239896, 110305888, 112679184
 17798,  16,  16384,  46537,   4,   5,   1, 113875192, 113497800, 113804344, 107255712, 114213368
 17799,  16,  16384,  27245,   5,   0,   2, 114431216, 113122800, 112760184, 114119248, 113387912
 17800,  16,  16384,  29852,   0,   0,   0, 112821776, 113598216, 113604112, 113339456, 113802992
 17801,  16,  16384,   5806,   0,   5,   2, 112457984, 113637544, 110969792, 113835680, 114132912
 17802,  16,  16384,  32399,   5,  14,   3, 113717384, 106865712, 114022848, 112868248, 105319960
 17803,  16,  16384,  11250,  14,  17,   2, 110457896, 109120968, 111034696, 110969224, 114693416
 17804,  16,  16384,  40347,  17,  13,   2, 114809976, 116043256, 116011912, 114526280, 113969752
 17805,  16,  16384,  33871,  13,   7,   3, 113253624, 114038360, 113832328, 114150424, 110280480
 17806,  16,  16384,  48667,   7,   6,   1, 111666912, 111363232, 110440272, 111222256, 110310376
 17807,  16,  16384,  42811,   6,  16,   3, 110192560, 110195016, 108901032, 106313224, 115435704
 17808,  16,  16384,  23210,  16,  16,   0, 115481296, 109513280, 115224896, 115476240, 115460000
 17809,  16,  16384,  30171,  16,  17,   1, 113190480, 114200864, 115622568, 115586432, 116097984
 17810,  16,  16384,    651,  17,  17,   0, 114980584, 115903152, 115865032, 113567224, 116199272
 17811,  16,  16384,   3522,  17,  16,   1, 116059672, 114418336, 115679688, 115691728, 115582688
 17812,  16,  16384,  39226,  16,  12,   2, 115518904, 115010968, 114005984, 115298320, 113330584
 17813,  16,  16384,  46471,  12,  13,   1, 113536008, 111160904, 113631976, 112364944, 114264424
 17814,  16,  16384,   7707,  13,  13,   0, 113245768, 114372944, 114447408, 114123728, 114532920
 17815,  16,  16384,   1135,  13,  12,   1, 114116576, 113098088, 107843520, 114140080, 113641568
 17816,  16,  16384,  10676,  12,   3,   3, 111373832, 107820232, 113507336, 113704512, 110930760
 17817,  16,  16384,  36520,   3,  12,   3, 110580760, 111372568, 110434208, 111390736, 113690880
 17818,  16,  16384,   6930,  12,  13,   1, 111519040, 113579576, 112697648, 105694624, 114174472
 17819,  16,  16384,   7233,  13,   9,   3, 113221944, 113994472, 113884760, 114056768, 107935632
 17820,  16,  16384,  44119,   9,  10,   2, 112895440, 114373328, 113867872, 112839048, 110674856
 17821,  16,  16384,  26277,  10,  11,   1, 110366352, 108253944, 110906760, 109935064, 111564088
 17822,  16,  16384,    567,  11,  20,   3, 111945376, 111176328, 111284824, 111896704, 109666440
 17823,  16,  16384,  16534,  20,   6,   3, 114332392, 113159416, 114684936, 115140520, 110188784
 17824,  16,  16384,  42811,   6,   7,   1, 109126552, 109973048, 110379856, 110179976, 111710904
 17825,  16,  16384,   8952,   7,  10,   2, 110048392, 110156088, 110379376, 111453496, 110230816
 17826,  16,  16384,  27917,  10,  10,   0, 109320088, 110849672, 104754136, 110825408, 110768600
 17827,  16,  16384,  46481,  10,   6,   2, 109898776, 110974624, 110934856, 110791384, 110211312
 17828,  16,  16384,  22111,   6,   6,   0, 110282592, 110074296, 102657472, 109967904, 108882848
 17829,  16,  16384,  12031,   6,   9,   2, 110067192, 109784232, 109809968, 108690592, 114161496
 17830,  16,  16384,  42604,   9,   2,   3, 114229488, 114082576, 113523296, 114035504, 108691824
 17831,  16,  16384,  42172,   2,   3,   1, 109575312, 110738408, 110628280, 110882160, 111626896
 17832,  16,  16384,  33725,   3,   6,   3, 110468400, 110615888, 110891656, 111546480, 110121056
 17833,  16,  16384,  25896,   6,   7,   1, 109484920, 108240720, 110115528, 110295280, 111253320
 17834,  16,  16384,  49152,   7,  11,   2, 110225856, 111455320, 110052472, 110795544, 111620936
 17835,  16,  16384,  20559,  11,  11,   0, 105698608, 111519112, 111424656, 110174128, 111445608
 17836,  16,  16384,  13065,  11,  10,   1, 111507288, 110289384, 111493632, 111084032, 110775896
 17837,  16,  16384,  20305,  10,   6,   2, 110924192, 110872792, 110982776, 110863008, 107337248
 17838,  16,  16384,  42489,   6,   6,   0, 110365704, 110126024, 110187584, 110269168, 108727320
 17839,  16,  16384,  15703,   6,   5,   3, 109976224, 110117384, 109958288, 109933056, 114160776
 17840,  16,  16384,  46231,   5,   5,   0, 112856184, 112414368, 113244328, 113859872, 107992072
 17841,  16,  16384,   5117,   5,   2,   2, 114326872, 113764304, 114178096, 113855288, 110849384
 17842,  16,  16384,  38519,   2,   4,   2, 110959736, 109554336, 109377560, 103958136, 114061800
 17843,  16,  16384,  32938,   4,   4,   0, 113728720, 113759728, 113879688, 107962992, 113788120
 17844,  16,  16384,  29413,   4,   5,   1, 113873216, 113599504, 112556608, 112627736, 114404400
 17845,  16,  16384,  40939,   5,   3,   2, 113095712, 114122496, 111293440, 110174768, 111432544
 17846,  16,  16384,  15933,   3,   2,   1, 110406528, 111556616, 110345152, 111325664, 103132024
 17847,  16,  16384,  47142,   2,   3,   1, 110903704, 110963480, 111143536, 110675600, 111319616
 17848,  16,  16384,  26640,   3,   2,   1, 110285856, 111136984, 110105808, 110005352, 109903368
 17849,  16,  16384,  18297,   2,   4,   2, 109700200, 103668328, 110642696, 110778800, 113747592
 17850,  16,  16384,  32889,   4,   7,   3, 113677968, 112902120, 113088856, 105839616, 110133832
 17851,  16,  16384,  32471,   7,   7,   0, 111454600, 111302696, 110434376, 111447464, 111761520
 17852,  16,  16384,  10491,   7,   6,   1, 111466320, 111434680, 111444712, 111412944, 109980984
 17853,  16,  16384,  29275,   6,   7,   1, 110263992, 110009840, 108932696, 108710760, 111578408
 17854,  16,  16384,  36853,   7,  17,   3, 111675752, 111681352, 111613064, 111657176, 116236824
 17855,  16,  16384,  32522,  17,  16,   1, 116141856, 115630536, 115822560, 115733552, 109846288
 17856,  16,  16384,   7209,  16,   2,   3, 115605592, 115270552, 115270768, 115366816, 105273096
 17857,  16,  16384,   2760,   2,   2,   0, 109411496, 110801592, 110878848, 110843352, 109958160
 17858,  16,  16384,  17715,   2,   4,   2, 109516048, 110939768, 110671248, 109518944, 114192168
 17859,  16,  16384,  48167,   4,   0,   2, 114114440, 113826960, 113623760, 112788656, 113859304
 17860,  16,  16384,  21553,   0,   1,   1, 113712544, 113902552, 113742376, 112400616, 112918944
 17861,  16,  16384,   9815,   1,   0,   1, 112712792, 113839608, 112760304, 113976832, 112664416
 17862,  16,  16384,  39957,   0,  18,   3, 113673552, 113994824, 113531056, 113936296, 112723832
 17863,  16,  16384,  16120,  18,  22,   2, 112497480, 112391296, 112367112, 111191136, 109191336
 17864,  16,  16384,  26394,  22,  22,   0, 108897904, 112197936, 112317448, 111004952, 111489480
 17865,  16,  16384,  30637,  22,  23,   1, 112587664, 112758856, 112047512, 112743008, 113717416
 17866,  16,  16384,  47863,  23,  18,   2, 113348960, 113180912, 112169328, 111772008, 111138432
 17867,  16,  16384,  24228,  18,  19,   1, 111217168, 112641432, 112361064, 112216984, 113445968
 17868,  16,  16384,  42619,  19,  22,   2, 113343192, 112813760, 113114848, 112052024, 112590928
 17869,  16,  16384,  36689,  22,  21,   2, 111274912, 111337264, 112549320, 106576880, 116218376
 17870,  16,  16384,  14423,  21,  21,   0, 116307512, 116009168, 115501920, 110198648, 114928504
 17871,  16,  16384,  26656,  21,  19,   2, 116096256, 116016744, 115576656, 115686496, 105572112
 17872,  16,  16384,  26399,  19,  23,   2, 113426096, 113473448, 113439608, 113519344, 112247064
 17873,  16,  16384,  33087,  23,  20,   2, 112927744, 106484304, 113177312, 113341360, 114462296
 17874,  16,  16384,   9298,  20,  17,   3, 115429448, 114200432, 114983584, 109504256, 115955600
 17875,  16,  16384,  45549,  17,  12,   2, 116157128, 115839664, 114462272, 115750152, 113430088
 17876,  16,  16384,   4120,  12,   7,   3, 113725256, 113673360, 112769736, 113497416, 111548032
 17877,  16,  16384,  15468,   7,   9,   2, 111320016, 111287664, 105243376, 109859456, 113940480
 17878,  16,  16384,  36964,   9,   8,   1, 114356472, 114216256, 114128856, 114091872, 113058536
 17879,  16,  16384,  31241,   8,   9,   1, 114007168, 113745064, 105699328, 112373200, 112820864
 17880,  16,  16384,  48664,   9,  11,   2, 114197352, 114115920, 114171160, 113784784, 111697848
 17881,  16,  16384,  45064,  11,   2,   3, 111584328, 111400320, 111609608, 110452064, 109951920
 17882,  16,  16384,  10608,   2,   2,   0, 110813360, 109799760, 109317528, 110840656, 109766768
 17883,  16,  16384,  13016,   2,   3,   1, 111099312, 110523304, 110557640, 110916192, 105533216
 17884,  16,  16384,  29555,   3,   3,   0, 111512896, 110940808, 109683288, 110651448, 111576792
 17885,  16,  16384,  31987,   3,   2,   1, 111534736, 111304800, 111433312, 111241024, 110951336
 17886,  16,  16384,      4,   2,   2,   0, 110972384, 109764952, 105981920, 109664944, 110693168
 17887,  16,  16384,   8633,   2,   1,   2, 110060008, 109544592, 110717000, 110800008, 114000288
 17888,  16,  16384,  29930,   1,   1,   0, 112739824, 112857200, 114052360, 112825360, 113944864
 17889,  16,  16384,   4252,   1,   1,   0, 114075216, 113979056, 113983888, 112724552, 114271296
 17890,  16,  16384,   9795,   1,   1,   0, 113537312, 113703624, 107846840, 112813512, 113353416
 17891,  16,  16384,  49178,   1,   0,   1, 112940056, 113911792, 114020120, 113826536, 113684976
 17892,  16,  16384,   4429,   0,   2,   2, 112465136, 113672952, 113600064, 107420216, 110980704
 17893,  16,  16384,  36417,   2,   2,   0, 111056344, 110738976, 106744528, 107329304, 110661704
 17894,  16,  16384,   3231,   2,   3,   1, 111182096, 109428960, 110764368, 110725912, 110397384
 17895,  16,  16384,  14783,   3,   7,   3, 111481016, 111266592, 105353136, 111195008, 109630576
 17896,  16,  16384,  47536,   7,   9,   2, 110431952, 110040696, 111452280, 110155872, 114063128
 17897,  16,  16384,  33952,   9,  11,   2, 114346224, 112805744, 113009896, 114133592, 111485984
 17898,  16,  16384,   7356,  11,  10,   1, 110374128, 105535888, 111343328, 109188152, 109908176
 17899,  16,  16384,  33511,  10,  10,   0, 111010976, 110739000, 109651992, 110830144, 110813664
 17900,  16,  16384,  48147,  10,  11,   1, 111162280, 110788048, 110174496, 110800576, 110203568
 17901,  16,  16384,  33816,  11,  11,   0, 110522528, 111600320, 111387976, 111300848, 111511920
 17902,  16,  16384,   8185,  11,   8,   2, 111560008, 111591424, 111500816, 110438808, 113878056
 17903,  16,  16384,   1868,   8,   8,   0, 113710280, 112571624, 112688560, 113639800, 113743416
 17904,  16,  16384,   7351,   8,   8,   0, 113853232, 113019040, 113647064, 107863048, 113496928
 17905,  16,  16384,  14817,   8,   7,   2, 113570352, 112506016, 113806496, 113605376, 111376128
 17906,  16,  16384,  40127,   7,   6,   1, 110743792, 111397136, 111369640, 110963280, 110230096
 17907,  16,  16384,  22920,   6,   7,   1, 110272112, 110250096, 109640200, 107559760, 111347976
 17908,  16,  16384,  20152,   7,   6,   1, 110575320, 110857872, 110313752, 111402536, 109103216
 17909,  16,  16384,  22801,   6,   8,   2, 110390240, 110113184, 110067600, 109842328, 112412128
 17910,  16,  16384,  38787,   8,   8,   0, 114068496, 113779584, 112657736, 113076272, 113829160
 17911,  16,  16384,  15531,   8,   8,   0, 114017872, 112710464, 113809112, 113785056, 107874184
 17912,  16,  16384,  40729,   8,   4,   3, 113803304, 113805936, 112785424, 113593360, 113940880
 17913,  16,  16384,  49475,   4,   5,   1, 112622880, 113731528, 113526592, 112915168, 112972656
 17914,  16,  16384,  44336,   5,  23,   3, 114237784, 113003512, 113681296, 113600368, 107748424
 17915,  16,  16384,  48833,  23,  19,   2, 113489248, 113160896, 113176864, 112036648, 111853976
 17916,  16,  16384,   4512,  19,  19,   0, 113755752, 113053112, 111869568, 113513536, 113551624
 17917,  16,  16384,  43033,  19,  19,   0, 113408144, 112962328, 113169800, 113099880, 112104016
 17918,  16,  16384,  43545,  19,  19,   0, 107427216, 110972472, 113226824, 113185392, 113484352
 17919,  16,  16384,  19643,  19,   5,   3, 113292424, 113355224, 113112008, 113317360, 112950920
 17920,  16,  16384,  14913,   5,   4,   1, 112767608, 114053440, 113896608, 113413048, 114207328
 17921,  16,  16384,  21801,   4,   1,   2, 113962728, 113528872, 112531632, 111232824, 113908336
 17922,  16,  16384,  21946,   1,   0,   1, 114224000, 112740144, 112716576, 114092416, 113830856
 17923,  16,  16384,  16418,   0,   1,   1, 112680432, 113654360, 113666520, 113824176, 114046208
 17924,  16,  16384,  49477,   1,   0,   1, 114236552, 114165536, 113909160, 112802184, 113661712
 17925,  16,  16384,  20171,   0,   0,   0, 114142024, 112196152, 113541928, 113724192, 113485216
 17926,  16,  16384,  18065,   0,   5,   2, 113094952, 113194240, 113739296, 113646080, 114409920
 17927,  16,  16384,  39451,   5,   4,   1, 112940600, 113996056, 113975264, 113715088, 113573200
 17928,  16,  16384,  20949,   4,   3,   2, 114112424, 113814280, 112746056, 113996280, 110551200
 17929,  16,  16384,  41411,   3,  12,   3, 105556896, 111425032, 111299824, 110215728, 112768328
 17930,  16,  16384,  28314,  12,  15,   2, 113656520, 113510064, 113779384, 113435296, 111636168
 17931,  16,  16384,  42548,  15,  12,   2, 105678896, 111154200, 110633736, 111303840, 113643976
 17932,  16,  16384,  17177,  12,  13,   1, 112787200, 113769312, 113756512, 113589768, 114420960
 17933,  16,  16384,   1727,  13,  13,   0, 114162320, 114091768, 112133008, 109013576, 114042872
 17934,  16,  16384,  36819,  13,  12,   1, 114345160, 114186232, 114083640, 114166160, 113865488
 17935,  16,  16384,  27238,  12,  16,   2, 113952360, 113937920, 113756256, 112579888, 114302216
 17936,  16,  16384,  24877,  16,  16,   0, 115715800, 108514432, 114511488, 115355016, 114538216
 17937,  16,  16384,  11705,  16,  13,   2, 114428832, 115421552, 115380488, 115438600, 113978144
 17938,  16,  16384,    251,  13,  16,   2, 113500312, 108129424, 114478096, 114029136, 109640240
 17939,  16,  16384,  47938,  16,  14,   2, 115738928, 114444400, 114935464, 114015248, 111134848
 17940,  16,  16384,  43262,  14,  12,   2, 110822080, 110920248, 110878592, 110804376, 107802528
 17941,  16,  16384,  43142,  12,  13,   1, 113609384, 112742352, 113573264, 112674472, 114329992
 17942,  16,  16384,  18920,  13,  22,   3, 113438936, 114105264, 113028128, 114176248, 111653096
 17943,  16,  16384,  32498,  22,   4,   3, 111366704, 112368928, 111258496, 112769584, 113981352
 17944,  16,  16384,   7203,   4,   3,   2, 113911016, 113903320, 113672160, 113642488, 111442192
 17945,  16,  16384,  34558,   3,  13,   3, 111353376, 110306512, 111222608, 110308600, 114391720
 17946,  16,  16384,   5930,  13,  16,   2, 112882712, 113119304, 114066264, 113892744, 115307224
 17947,  16,  16384,   3568,  16,   2,   3, 114345808, 114125752, 113873664, 115290352, 109879680
 17948,  16,  16384,  14753,   2,   5,   2, 111163920, 110335640, 105003440, 110642392, 112741216
 17949,  16,  16384,  45872,   5,   2,   2, 114200272, 112664560, 113798568, 112620712, 110955040
 17950,  16,  16384,  40677,   2,  21,   3, 110947408, 109592104, 110866592, 110796800, 115920416
 17951,  16,  16384,  32463,  21,  11,   3, 110304504, 115746544, 115920168, 115561288, 111817984
 17952,  16,  16384,  32712,  11,  18,   3, 110752272, 111459256, 110483720, 111319128, 111247472
 17953,  16,  16384,  43519,  18,  18,   0, 112539400, 112395080, 112525784, 112364512, 112519048
 17954,  16,  16384,   1618,  18,  16,   3, 111260696, 112439000, 112336632, 111219432, 115593648
 17955,  16,  16384,  49095,  16,   1,   3, 115480752, 109848864, 115451024, 115414320, 114349232
 17956,  16,  16384,  33068,   1,  21,   3, 113131464, 113826600, 113879544, 112768496, 114343232
 17957,  16,  16384,  19344,  21,   4,   3, 116009392, 115813256, 115727272, 116027752, 113896680
 17958,  16,  16384,   5580,   4,   5,   1, 113873584, 112490952, 113824720, 112641776, 113029912
 17959,  16,  16384,  21979,   5,   4,   1, 114014120, 113816864, 114003192, 114003168, 112796304
 17960,  16,  16384,  31425,   4,   5,   1, 113787672, 113879288, 113812752, 113350056, 112915696
 17961,  16,  16384,  12960,   5,   4,   1, 114067872, 112593104, 113640520, 114060360, 113803136
 17962,  16,  16384,  25636,   4,  21,   3, 113858368, 113024144, 113126352, 113991368, 115032808
 17963,  16,  16384,   6490,  21,  21,   0, 109842376, 113064088, 115780384, 114406064, 115744544
 17964,  16,  16384,  40607,  21,  18,   2, 115860640, 116087664, 115959304, 115959288, 109953096
 17965,  16,  16384,  30215,  18,  19,   1, 106900608, 112595664, 111358480, 111582048, 111908368
 17966,  16,  16384,  48691,  19,  23,   2, 113514448, 111911368, 113685160, 113592560, 113585712
 17967,  16,  16384,  18954,  23,  23,   0, 113091920, 111843544, 113135632, 112941384, 112224432
 17968,  16,  16384,  10731,  23,  10,   3, 113554704, 112082432, 112199792, 113408248, 110815848
 17969,  16,  16384,   7690,  10,  10,   0, 110984656, 111121296, 103573192, 108879328, 111160408
 17970,  16,  16384,  46378,  10,  11,   1, 111310624, 110589920, 110728128, 110670392, 111490848
 17971,  16,  16384,  30377,  11,   8,   2, 111797464, 111459784, 111260048, 110247096, 107370416
 17972,  16,  16384,  48611,   8,   8,   0, 113894520, 112623112, 112510504, 112525528, 113683616
 17973,  16,  16384,  36493,   8,  20,   3, 113869984, 113618992, 113499112, 113526928, 115387080
 17974,  16,  16384,  37648,  20,  23,   2, 115640944, 114604840, 113249784, 114935832, 112299936
 17975,  16,  16384,  17748,  23,   5,   3, 112168584, 113409416, 113119400, 113158456, 112965448
 17976,  16,  16384,  35482,   5,   5,   0, 114239216, 111913592, 110126608, 113117872, 111717288
 17977,  16,  16384,  33655,   5,  21,   3, 114212784, 114037576, 113713264, 113996032, 115953784
 17978,  16,  16384,  15240,  21,  20,   1, 116208712, 114673568, 115885232, 116197928, 114523120
 17979,  16,  16384,  46845,  20,  20,   0, 115507544, 114295648, 109588800, 115378792, 115521920
 17980,  16,  16384,  10386,  20,  21,   1, 115724448, 115317352, 115263952, 115370936, 114724872
 17981,  16,  16384,  38155,  21,  20,   1, 114797800, 116011392, 114482056, 115233376, 109839200
 17982,  16,  16384,  44016,  20,  21,   1, 115597272, 115271664, 115333400, 115552408, 116184096
 17983,  16,  16384,  46838,  21,  21,   0, 114839584, 114446376, 115586288, 114504464, 111085536
 17984,  16,  16384,   8148,  21,  20,   1, 115343600, 115896128, 115828472, 115673728, 115456240
 17985,  16,  16384,  20198,  20,  20,   0, 115601240, 115273160, 112897656, 115687912, 114188728
 17986,  16,  16384,  36850,  20,  15,   3, 115753056, 115269016, 115351312, 113214040, 111404688
 17987,  16,  16384,  19021,  15,  12,   2, 110476256, 110348440, 111448184, 111524880, 110791704
 17988,  16,  16384,  38121,  12,  13,   1, 111820664, 112525168, 113530072, 113532416, 113923128
 17989,  16,  16384,  18838,  13,  13,   0, 114300280, 114090216, 112963840, 114200592, 113221272
 17990,  16,  16384,  12219,  13,  12,   1, 114210440, 114195808, 114004896, 107913520, 113210896
 17991,  16,  16384,   5897,  12,  13,   1, 113135848, 113050672, 112390224, 113441112, 112867104
 17992,  16,  16384,  40461,  13,   6,   3, 114343816, 112896456, 114401048, 114143112, 108893736
 17993,  16,  16384,  31047,   6,   7,   1, 109771056, 109627800, 110375272, 108615568, 104195936
 17994,  16,  16384,  45895,   7,   6,   1, 111317096, 111216624, 110158208, 111426920, 110118016
 17995,  16,  16384,  23436,   6,   7,   1, 110091336, 109004640, 108842136, 110117320, 111410920
 17996,  16,  16384,  29902,   7,  11,   2, 111330160, 103841160, 111190768, 110316568, 111569464
 17997,  16,  16384,  16198,  11,  19,   3, 111830112, 111507488, 111420152, 109987416, 113366208
 17998,  16,  16384,   4301,  19,   3,   3, 113475992, 113431384, 113053192, 111122184, 111552568
 17999,  16,  16384,  26219,   3,   2,   1, 111299856, 111215032, 111322456, 111351816, 109842312
 18000,  16,  16384,  41427,   2,   4,   2, 110926912, 110822912, 110940032, 109723336, 112924120
 18001,  16,  16384,   9535,   4,   5,   1, 113906416, 114143544, 113602880, 112754504, 112866592
 18002,  16,  16384,  30933,   5,   8,   3, 114032904, 113177080, 113763464, 113929552, 113688688
 18003,  16,  16384,  21369,   8,   8,   0, 112713320, 107194384, 113626072, 113599192, 113683448
 18004,  16,  16384,  20104,   8,  10,   2, 113799728, 113867088, 112164488, 112640264, 110922592
 18005,  16,  16384,  39429,  10,  11,   1, 109699496, 109722832, 109702560, 110905720, 111518032
 18006,  16,  16384,  44511,  11,   8,   2, 110515968, 111372400, 111460904, 110240864, 112945792
 18007,  16,  16384,   9196,   8,   2,   3, 114064632, 112592904, 113728440, 113613488, 110745896
 18008,  16,  16384,  48826,   2,   1,   2, 110987168, 110663624, 110838720, 110704440, 113062016
 18009,  16,  16384,  10449,   1,   1,   0, 114138272, 113879928, 113953456, 112584192, 114319824
 18010,  16,  16384,  49029,   1,   1,   0, 114351240, 113926368, 113686032, 113823192, 112609704
 18011,  16,  16384,  18864,   1,   3,   2, 113538736, 113312424, 114005144, 113718984, 111040592
 18012,  16,  16384,  47730,   3,   0,   2, 111467128, 111229256, 111339288, 111271840, 113925720
 18013,  16,  16384,  47197,   0,   1,   1, 112649176, 113653664, 113592048, 113381800, 113897592
 18014,  16,  16384,  18179,   1,   0,   1, 113126336, 112600896, 114124672, 114253848, 113898544
 18015,  16,  16384,  42505,   0,   1,   1, 113714560, 113574984, 112308848, 113510320, 113968520
 18016,  16,  16384,  33048,   1,   1,   0, 114199112, 114295808, 112597352, 113008016, 114100336
 18017,  16,  16384,  48751,   1,   0,   1, 113985616, 114141304, 113983256, 106200888, 113877240
 18018,  16,  16384,  43927,   0,   1,   1, 112318320, 113741592, 113680848, 107408488, 112974728
 18019,  16,  16384,   6288,   1,  15,   3, 114102736, 114039752, 114246560, 113982856, 111713888
 18020,  16,  16384,  45544,  15,  14,   1, 111835496, 109168232, 105329824, 111240432, 111104520
 18021,  16,  16384,  45997,  14,  18,   3, 110915400, 110701768, 111239008, 110998960, 112452920
 18022,  16,  16384,  34462,  18,  18,   0, 109954512, 111429576, 110823176, 112745872, 113063200
 18023,  16,  16384,  24032,  18,  18,   0, 106669912, 112373784, 112475504, 112361672, 112440200
 18024,  16,  16384,   7431,  18,  19,   1, 112693384, 112327712, 109921832, 111128048, 112099384
 18025,  16,  16384,  22818,  19,  19,   0, 113556376, 113185336, 113181072, 113176976, 113589344
 18026,  16,  16384,  48787,  19,  19,   0, 113365832, 112402912, 112766376, 112967904, 112247032
 18027,  16,  16384,   1812,  19,  19,   0, 112137528, 106135472, 113158912, 113024600, 113295944
 18028,  16,  16384,  31475,  19,  18,   1, 113325136, 113092168, 113112616, 112580608, 111256320
 18029,  16,  16384,   9083,  18,  20,   2, 110136432, 112391664, 111086320, 112399560, 114321136
 18030,  16,  16384,   2281,  20,  18,   2, 114534408, 115589920, 115645496, 109730376, 112810256
 18031,  16,  16384,  30539,  18,  20,   2, 112468288, 112385632, 109863112, 111086928, 115420512
 18032,  16,  16384,  16233,  20,  19,   2, 115527960, 113975984, 114220296, 115512048, 113275848
 18033,  16,  16384,  31777,  19,  22,   2, 113258728, 111890472, 113281944, 113094760, 111346824
 18034,  16,  16384,  17539,  22,  22,   0, 106592808, 112394944, 112082912, 112467936, 112320280
 18035,  16,  16384,  29983,  22,  22,   0, 112556200, 112223936, 112445688, 112375040, 111306032
 18036,  16,  16384,   5925,  22,  21,   2, 110032424, 112629368, 111303104, 106623936, 116166456
 18037,  16,  16384,  24530,  21,  22,   2, 116023920, 115864088, 115797896, 109958760, 112498016
 18038,  16,  16384,  31275,  22,  23,   1, 112561392, 111145392, 110557816, 111712848, 113602920
 18039,  16,  16384,  17059,  23,  23,   0, 113354096, 113150504, 113191424, 113115256, 112109608
 18040,  16,  16384,  15445,  23,   4,   3, 113364440, 113290072, 107492504, 111674016, 113953800
 18041,  16,  16384,  34625,   4,   5,   1, 113957696, 113702776, 113843440, 112821168, 114318200
 18042,  16,  16384,  25752,   5,   5,   0, 114437696, 112852752, 112393848, 114133344, 112870576
 18043,  16,  16384,  41111,   5,   4,   1, 107786464, 113988120, 114101336, 114103048, 113953008
 18044,  16,  16384,  31696,   4,   5,   1, 114038136, 113790472, 113788256, 111754896, 113221080
 18045,  16,  16384,  21739,   5,  10,   3, 114090928, 112700592, 107746936, 114116664, 110819600
 18046,  16,  16384,  46408,  10,   9,   2, 111283328, 110918968, 110916728, 111028504, 113145568
 18047,  16,  16384,  28429,   9,  15,   3, 107445264, 113566592, 113972688, 111814040, 111657496
 18048,  16,  16384,   9301,  15,  15,   0, 111639656, 111613864, 111776280, 110752280, 111894824
 18049,  16,  16384,  10688,  15,   8,   3, 111510248, 110361936, 111730728, 110473880, 112058680
 18050,  16,  16384,  33998,   8,   3,   3, 113444664, 113722064, 113638632, 107630360, 111556904
 18051,  16,  16384,  39836,   3,   0,   2, 111383856, 111480000, 111245736, 107260504, 113884752
 18052,  16,  16384,  25899,   0,  19,   3, 113699008, 105366696, 113731896, 113443824, 113345200
 18053,  16,  16384,  47135,  19,  11,   3, 113158440, 112914032, 113354240, 113345784, 103445600
 18054,  16,  16384,  21399,  11,   2,   3, 110455760, 111462072, 111419680, 111450144, 110901776
 18055,  16,  16384,  41988,   2,   3,   1, 110835880, 110723728, 110699344, 110623168, 111583984
 18056,  16,  16384,  15226,   3,   3,   0, 105112592, 110315808, 111354128, 111418168, 111566608
 18057,  16,  16384,   3555,   3,   1,   2, 111384336, 110187880, 111037752, 109753064, 114210232
 18058,  16,  16384,  40370,   1,   5,   2, 114140624, 114234160, 105981952, 112585056, 114169752
 18059,  16,  16384,   6179,   5,  15,   3, 114097200, 112872816, 112937568, 113892784, 104354968
 18060,  16,  16384,  32687,  15,  15,   0, 111682824, 111237832, 110450776, 111479600, 110425296
 18061,  16,  16384,  29212,  15,  14,   1, 111773704, 111505104, 111415400, 111572464, 111040016
 18062,  16,  16384,  47439,  14,  15,   1, 111118680, 111030600, 111021832, 111092808, 111501440
 18063,  16,  16384,   9765,  15,  15,   0, 110457056, 111588712, 111472520, 111191608, 111877376
 18064,  16,  16384,  20930,  15,  14,   1, 111732464, 111582640, 110635800, 111541104, 110936520
 18065,  16,  16384,  33601,  14,  15,   1, 110915336, 111042432, 109764536, 104890008, 112067568
 18066,  16,  16384,  26390,  15,  16,   2, 111693168, 111582488, 111337528, 111290016, 115282416
 18067,  16,  16384,  47320,  16,  16,   0, 115721120, 115086912, 115515208, 115254256, 115647640
 18068,  16,  16384,  19624,  16,  16,   0, 113347888, 115408824, 115109176, 106913688, 115529272
 18069,  16,  16384,  24014,  16,  13,   2, 115642056, 115192496, 115271056, 115307528, 113946912
 18070,  16,  16384,   5964,  13,  13,   0, 113014568, 114158728, 112967944, 114191616, 107270344
 18071,  16,  16384,  45646,  13,  17,   2, 112952024, 114135288, 114091408, 113995520, 115702696
 18072,  16,  16384,  30302,  17,  20,   3, 116360624, 115890896, 115758064, 116070024, 115669800
 18073,  16,  16384,  41445,  20,  23,   2, 114789304, 113828592, 115104936, 115182616, 112346816
 18074,  16,  16384,   1548,  23,  23,   0, 111711408, 112861216, 113275384, 113080264, 113330408
 18075,  16,  16384,   6038,  23,  22,   1, 113337360, 113410016, 113411616, 113229888, 112520384
 18076,  16,  16384,  19773,  22,  19,   2, 112851296, 112390768, 110079464, 112590688, 113519192
 18077,  16,  16384,  19257,  19,  15,   3, 113337960, 113155984, 113265088, 107312736, 111783072
 18078,  16,  16384,  11399,  15,  15,   0, 111617640, 111111064, 105388048, 111544960, 110351544
 18079,  16,  16384,   9838,  15,   3,   3, 111600528, 111434360, 111750720, 111406176, 111438728
 18080,  16,  16384,  33157,   3,   3,   0, 111544168, 110135840, 111094624, 110448976, 111403296
 18081,  16,  16384,  32841,   3,   5,   2, 110549264, 111314008, 105437768, 111322040, 114206760
 18082,  16,  16384,  21043,   5,   9,   3, 114022720, 114242344, 105659912, 112633304, 112852080
 18083,  16,  16384,  38406,   9,   7,   2, 108573096, 113950248, 114213264, 114116632, 111267232
 18084,  16,  16384,  15541,   7,   6,   1, 111491576, 111238816, 110046672, 111213184, 110357184
 18085,  16,  16384,  41838,   6,   9,   2, 110222968, 109937768, 109194800, 109848216, 114181608
 18086,  16,  16384,  30257,   9,   6,   2, 114068248, 114161048, 114071952, 114185304, 110054912
 18087,  16,  16384,  36133,   6,  18,   3, 110185896, 110062152, 110005152, 108969080, 112664096
 18088,  16,  16384,   8491,  18,  18,   0, 112593736, 112355200, 112506088, 111164488, 112709056
 18089,  16,  16384,  23492,  18,  18,   0, 111425248, 112502432, 105720928, 112403512, 112216192
 18090,  16,  16384,  34308,  18,  18,   0, 111099992, 112212576, 112467472, 112320832, 112601456
 18091,  16,  16384,  15586,  18,  20,   2, 111154256, 112311904, 111454088, 112531824, 115538368
 18092,  16,  16384,  23483,  20,  21,   1, 115604424, 115192640, 115150816, 115338400, 115973496
 18093,  16,  16384,  43417,  21,   5,   3, 116224112, 114620456, 116097440, 115784480, 114107608
 18094,  16,  16384,  39723,   5,   3,   2, 114034520, 114109960, 112952920, 112748808, 111835200
 18095,  16,  16384,  43250,   3,   3,   0, 111473416, 111494000, 105040824, 110835584, 111749584
 18096,  16,  16384,   5383,   3,   2,   1, 108983144, 111129712, 110084208, 111452848, 109737048
 18097,  16,  16384,  25360,   2,   3,   1, 110946240, 110593304, 110963512, 109269504, 111406296
 18098,  16,  16384,  19180,   3,   3,   0, 110345336, 111151600, 110135320, 110210024, 110548112
 18099,  16,  16384,  47980,   3,   0,   2, 111624720, 111351432, 111595816, 111458616, 107687816
 18100,  16,  16384,   3943,   0,   0,   0, 112704576, 112154072, 112136920, 113527776, 113558032
 18101,  16,  16384,  21740,   0,   2,   2, 113527504, 113709160, 113521456, 113537320, 110968184
 18102,  16,  16384,  33660,   2,   4,   2, 109891456, 110668640, 110779160, 110821040, 112981608
 18103,  16,  16384,  36738,   4,   4,   0, 113695560, 113873240, 113882400, 113787704, 113886792
 18104,  16,  16384,  12134,   4,   4,   0, 113624720, 112638760, 113850264, 107738616, 113074640
 18105,  16,  16384,  26357,   4,   4,   0, 113747192, 112261848, 112368096, 113508992, 113890256
 18106,  16,  16384,   2463,   4,  17,   3, 113867576, 113902808, 113903744, 113576872, 116038824
 18107,  16,  16384,  32314,  17,  21,   3, 115562368, 114586912, 115994304, 115789064, 115886912
 18108,  16,  16384,   1492,  21,  14,   3, 114516608, 114558448, 116081304, 115824064, 109956264
 18109,  16,  16384,  40445,  14,   5,   3, 111143704, 111014568, 110837992, 110896296, 114003048
 18110,  16,  16384,  32532,   5,   5,   0, 113279816, 113684056, 113248104, 113762024, 114118400
 18111,  16,  16384,    327,   5,   5,   0, 114271344, 114028744, 113251752, 113835272, 113146464
 18112,  16,  16384,  48469,   5,   5,   0, 107829280, 113913480, 114172336, 113424576, 113932120
 18113,  16,  16384,  34912,   5,   1,   2, 114152704, 113967936, 113916976, 113969848, 112849656
 18114,  16,  16384,  17108,   1,   9,   3, 114186256, 107047304, 113466448, 113409304, 114153920
 18115,  16,  16384,  35564,   9,   0,   3, 112885904, 107801904, 113018480, 113882712, 113893392
 18116,  16,  16384,  23988,   0,   6,   3, 112390584, 113707832, 113751136, 113619192, 110215400
 18117,  16,  16384,  32782,   6,  10,   2, 110323080, 108936944, 110072032, 109864216, 109745520
 18118,  16,  16384,  47200,  10,  22,   3, 111157320, 110914992, 104712824, 110958608, 112908936
 18119,  16,  16384,  13633,  22,  20,   2, 112530840, 112179080, 111215880, 103678848, 115695088
 18120,  16,  16384,  12491,  20,  17,   3, 114492104, 115548512, 115529720, 114393896, 115736272
 18121,  16,  16384,  37298,  17,  23,   3, 114621840, 115946512, 116106296, 114280976, 112318584
 18122,  16,  16384,  20079,  23,  20,   2, 113184552, 113113064, 113266192, 113070784, 114365880
 18123,  16,  16384,  44983,  20,  19,   2, 115770920, 115412352, 115432792, 115441824, 113329384
 18124,  16,  16384,  24148,  19,  13,   3, 112297560, 107254064, 113274472, 112839608, 113884264
 18125,  16,  16384,  22841,  13,  23,   3, 114030240, 113921992, 112967640, 114373744, 113286440
 18126,  16,  16384,   4190,  23,   0,   3, 113281128, 107649656, 111827632, 113181512, 112950456
 18127,  16,  16384,  14213,   0,   0,   0, 114057008, 113652648, 112540000, 113487864, 112548960
 18128,  16,  16384,  13724,   0,   0,   0, 114020832, 113851896, 113597744, 113574160, 112475488
 18129,  16,  16384,  28763,   0,  22,   3, 107794544, 113800760, 112583008, 113289544, 112663216
 18130,  16,  16384,  15192,  22,  23,   1, 112629272, 112474280, 111204048, 111180376, 106343944
 18131,  16,  16384,  34039,  23,  22,   1, 113231648, 113249400, 113298784, 113265048, 112901728
 18132,  16,  16384,   4485,  22,  23,   1, 112342264, 112422112, 112306632, 112708128, 113182872
 18133,  16,  16384,  48822,  23,  22,   1, 113447944, 111847400, 107593640, 113017560, 111182816
 18134,  16,  16384,  25382,  22,  22,   0, 112697624, 112428112, 112606808, 112582376, 112764568
 18135,  16,  16384,   7045,  22,  22,   0, 111387696, 111378336, 112376368, 112347360, 112668400
 18136,  16,  16384,  42254,  22,  22,   0, 106796280, 111361528, 111030816, 112477896, 112673544
 18137,  16,  16384,  15668,  22,  22,   0, 112827376, 112542136, 111035384, 111221624, 112825864
 18138,  16,  16384,  17372,  22,  23,   1, 112766696, 112477936, 112470264, 105356680, 110958248
 18139,  16,  16384,  46116,  23,  23,   0, 113603624, 113387136, 113294400, 113392192, 112324000
 18140,  16,  16384,   4456,  23,  23,   0, 113599216, 113226824, 107535688, 113130504, 111782400
 18141,  16,  16384,  25618,  23,  22,   1, 113308752, 111040760, 112781056, 113628472, 112592928
 18142,  16,  16384,  38098,  22,  22,   0, 110338800, 112798728, 112408512, 112666712, 112383992
 18143,  16,  16384,  14098,  22,  22,   0, 112780688, 104309648, 112459736, 112398384, 112580800
 18144,  16,  16384,  14476,  22,  12,   3, 112687784, 112457520, 110858600, 112079344, 113687408
 18145,  16,  16384,  36857,  12,  12,   0, 111446328, 107508136, 113628656, 113506056, 113402976
 18146,  16,  16384,  25104,  12,  21,   3, 113695512, 113581568, 113839744, 112472264, 116065656
 18147,  16,  16384,  14067,  21,  20,   1, 115978848, 116222000, 115701168, 115996464, 115730032
 18148,  16,  16384,  24519,  20,  18,   2, 115757464, 115706552, 115083424, 115442552, 110118800
 18149,  16,  16384,   1721,  18,  18,   0, 112542064, 106659128, 112323520, 112058840, 112565312
 18150,  16,  16384,  11971,  18,  19,   1, 111298288, 111299576, 112774024, 112516680, 113479544
 18151,  16,  16384,  36929,  19,  18,   1, 111919408, 113080568, 113269192, 113197520, 106743192
 18152,  16,  16384,  45357,  18,  18,   0, 112568624, 112339024, 111027624, 111442672, 112622136
 18153,  16,  16384,    503,  18,   5,   3, 112557544, 112672032, 112286368, 110058000, 114226832
 18154,  16,  16384,  35725,   5,   0,   2, 113923488, 113837480, 113885512, 112893560, 113626640
 18155,  16,  16384,  41080,   0,   3,   2, 113815272, 113607024, 113582304, 113544560, 111264104
 18156,  16,  16384,   2482,   3,   2,   1, 111435296, 111139392, 111512744, 110126632, 109511664
 18157,  16,  16384,  27668,   2,  13,   3, 111161296, 110990504, 111117968, 110625376, 106175200
 18158,  16,  16384,  30480,  13,  12,   1, 113358112, 114142744, 114353088, 114235912, 113121392
 18159,  16,  16384,  34207,  12,  13,   1, 106057592, 111597272, 113598880, 113975552, 113911744
 18160,  16,  16384,  34164,  13,  12,   1, 113132192, 106261352, 114432984, 114388536, 113826272
 18161,  16,  16384,  42942,  12,  13,   1, 114181488, 112845208, 105926688, 111560200, 114189128