bin1 := (1,11313,17948)(2,14004,2292)(3,19288,8467)(4,3477,12895)(5,5477,14563)
     (6,4261,9879)(7,18661,8884)(8,18844,667)(9,17819,9708)(10,12799,8022)(11,
     5678,10397)(12,9451,11604)(13,16272,2857)(14,3884,12145)(15,2718,2976)
     (16,3562,12069)(17,13758,17277)(18,8455,4284)(19,3569,1317)(20,14828,
     5711)(21,17257,4205)(22,5112,14624)(23,2750,6670)(24,10414,5668)(25,
     10303,14119)(26,821,11318)(27,9953,17209)(28,13117,1955)(29,7176,4254)
     (30,18597,2505)(31,8597,6991)(32,12484,2808)(33,17883,9937)(34,6477,
     13192)(35,12898,6124)(36,9957,14001)(37,13945,16549)(38,15236,13489)(39,
     10527,780)(40,1112,7081)(41,19285,13509)(42,12963,6768)(43,5913,9167)(44,
     7180,13651)(45,5817,6887)(46,6187,918)(47,5908,8087)(48,6430,18941)(49,
     6094,930)(50,6148,1014)(51,12367,11748)(52,7160,13449)(53,9221,3473)(54,
     968,3700)(55,16592,12232)(56,16203,19313)(57,18526,11750)(58,11485,7970)
     (59,2999,16477)(60,15684,10035)(61,5049,5551)(62,10200,8780)(63,5629,
     2272)(64,13990,19000)(65,19681,5786)(66,4037,12711)(67,10163,9312)(68,
     4550,11494)(69,8411,9412)(70,6688,18395)(71,5651,17228)(72,3316,675)(73,
     12610,9986)(74,639,7634)(75,12372,4112)(76,16682,9714)(77,13478,11128)
     (78,13787,12732)(79,19466,17405)(80,15231,18130)(81,12292,14764)(82,8873,
     7124)(83,3606,4333)(84,18486,10780)(85,16182,15497)(86,13557,5968)(87,
     1785,18818)(88,6287,4564)(89,485,14696)(90,12509,1798)(91,8979,11619)(92,
     8256,15700)(93,9262,19629)(94,5039,2626)(95,14616,252)(96,4304,14968)(97,
     8223,15631)(98,2257,5513)(99,14293,19149)(100,3697,17880)(101,15923,6147)
     (102,2498,11068)(103,11789,11970)(104,7064,11284)(105,10493,11326)(106,
     3755,3824)(107,3897,13909)(108,10868,4999)(109,18595,13512)(110,11125,
     7553)(111,13027,19537)(112,6693,15896)(113,12066,9756)(114,3092,15633)
     (115,3548,4784)(116,8910,4661)(117,16324,18304)(118,2677,6320)(119,16115,
     10030)(120,14708,5753)(121,12312,327)(122,17882,1509)(123,16752,17747)
     (124,3866,18228)(125,1413,4617)(126,8784,12436)(127,4464,5996)(128,16443,
     9474)(129,17680,13790)(130,12590,16574)(131,6128,1060)(132,6977,5140)
     (133,6487,3338)(134,1353,16685)(135,4097,3096)(136,16992,3504)(137,11850,
     16980)(138,19035,14686)(139,3976,16719)(140,18144,13126)(141,12280,7270)
     (142,17183,15934)(143,18892,14434)(144,11930,340)(145,16923,12235)(146,
     14109,17365)(147,16229,14433)(148,9668,9355)(149,15554,3234)(150,14794,
     18308)(151,8403,11147)(152,8118,12729)(153,19370,7552)(154,10428,17903)
     (155,9906,6325)(156,8155,13877)(157,4827,795)(158,15166,4877)(159,15757,
     6700)(160,16515,15907)(161,16365,2086)(162,15832,1055)(163,1837,1027)
     (164,376,7971)(165,6161,419)(166,3040,15232)(167,14325,4724)(168,17055,
     16545)(169,12820,9613)(170,15167,15590)(171,7892,2056)(172,13893,5134)
     (173,7718,16305)(174,12019,6368)(175,17657,18193)(176,13692,13622)(177,
     15486,6162)(178,4372,10699)(179,1160,10922)(180,17143,16940)(181,11774,
     16807)(182,11987,9985)(183,19474,15741)(184,15274,7747)(185,12998,14089)
     (186,8861,18296)(187,1499,8181)(188,975,222)(189,14368,18234)(190,16976,
     8995)(191,10999,17650)(192,1624,3406)(193,15168,5517)(194,9051,19189)
     (195,13609,16450)(196,14079,2175)(197,11631,16371)(198,1650,17752)(199,
     13228,2331)(200,11048,8619)(201,4476,1909)(202,5645,19250)(203,18639,
     7225)(204,7368,7168)(205,11389,10975)(206,18842,2659)(207,4133,13006)
     (208,2956,14875)(209,1547,5796)(210,10963,17434)(211,17137,12542)(212,
     1969,13431)(213,11112,9505)(214,17535,16396)(215,16821,8643)(216,18666,
     11581)(217,1835,16747)(218,5755,18717)(219,8779,1610)(220,10948,18588)
     (221,4141,6979)(223,18755,9384)(224,13383,1153)(225,2372,15893)(226,7882,
     8051)(227,8435,11555)(228,15761,5850)(229,7196,16454)(230,5569,12989)
     (231,11558,748)(232,18582,18218)(233,4317,8579)(234,1102,17803)(235,
     12430,4770)(236,895,7077)(237,5014,5094)(238,5981,18853)(239,962,11425)
     (240,15410,7090)(241,13285,19463)(242,1635,5332)(243,2664,7385)(244,5621,
     5626)(245,14574,2026)(246,18955,16339)(247,11253,14864)(248,8326,14593)
     (249,15004,6676)(250,8208,11687)(251,4638,6611)(253,12039,14299)(254,
     8807,13752)(255,267,5474)(256,2767,4377)(257,778,9258)(258,11074,14190)
     (259,4845,2485)(260,12748,9295)(261,12551,8871)(262,15169,16032)(263,
     4262,13828)(264,16797,17576)(265,18262,7608)(266,6170,16702)(268,13515,
     2096)(269,14391,18099)(270,15461,14631)(271,9696,10581)(272,5809,12004)
     (273,17173,16201)(274,17208,17786)(275,17052,721)(276,4263,6057)(277,
     1687,19634)(278,4369,1744)(279,3340,6608)(280,12221,3935)(281,6342,17307)
     (282,5048,8607)(283,5256,8771)(284,16141,2258)(285,14688,5008)(286,6450,
     12067)(287,17035,16098)(288,4542,19579)(289,1494,15001)(290,1982,11439)
     (291,15562,2082)(292,16790,5591)(293,10594,10503)(294,7388,18240)(295,
     3627,12905)(296,3102,976)(297,5338,7922)(298,18078,13757)(299,381,17294)
     (300,9240,13654)(301,15552,17821)(302,1477,4802)(303,16110,3516)(304,
     5011,16269)(305,12295,5863)(306,3023,12489)(307,8564,3855)(308,317,18146)
     (309,18964,610)(310,14499,7101)(311,19081,13888)(312,13522,9293)(313,
     5633,14259)(314,16571,10692)(315,4248,14886)(316,18824,1416)(318,17560,
     18343)(319,17091,5046)(320,10018,6434)(321,6549,15575)(322,8068,6856)
     (323,807,11882)(324,8976,2978)(325,4561,3478)(326,15500,6792)(328,18966,
     8038)(329,18241,16152)(330,1818,10438)(331,16511,4195)(332,4002,5987)
     (333,7495,3186)(334,6481,13058)(335,11427,5339)(336,7451,18442)(337,
     12601,5147)(338,11952,12671)(339,744,4958)(341,18254,18808)(342,18396,
     2519)(343,5759,10422)(344,15067,6361)(345,5353,9108)(346,12959,18169)
     (347,12581,18330)(348,2352,4090)(349,9265,3112)(350,5843,4929)(351,8264,
     888)(352,16712,5518)(353,14710,11922)(354,519,11502)(355,11423,10852)
     (356,12277,2827)(357,945,2104)(358,9158,4408)(359,9471,8644)(360,5024,
     2633)(361,17433,17410)(362,2727,5687)(363,9233,4281)(364,7503,18470)(365,
     12432,4651)(366,12697,17906)(367,19562,19441)(368,7120,12026)(369,18059,
     12631)(370,665,7061)(371,7283,8138)(372,5673,2328)(373,15577,7961)(374,
     11463,7263)(375,17232,17761)(377,9311,17596)(378,6558,17990)(379,11599,
     15850)(380,12826,1487)(382,6425,1123)(383,5535,13944)(384,17853,13273)
     (385,1734,396)(386,14170,13789)(387,515,19050)(388,8866,16025)(389,15558,
     1194)(390,15569,6926)(391,19380,16609)(392,3557,5821)(393,19682,2020)
     (394,8673,2987)(395,9283,19341)(397,1521,12459)(398,1195,5924)(399,18945,
     3095)(400,8436,11800)(401,3451,3108)(402,11483,9978)(403,9806,13358)(404,
     13339,9836)(405,11026,2784)(406,538,8666)(407,764,11166)(408,7667,8966)
     (409,2799,16122)(410,16892,11189)(411,497,13314)(412,16981,13726)(413,
     2777,9042)(414,2693,12651)(415,9999,15010)(416,7989,18042)(417,12332,
     15289)(418,5287,2806)(420,5498,1529)(421,13050,16825)(422,16594,1768)
     (423,17491,5950)(424,8313,19302)(425,5222,3991)(426,5265,10912)(427,5579,
     10019)(428,2795,18768)(429,8683,14407)(430,19125,1085)(431,5933,11511)
     (432,3753,4252)(433,5230,2062)(434,2189,12719)(435,14498,5488)(436,1621,
     1363)(437,4517,18458)(438,5157,11449)(439,10102,8302)(440,7020,15206)
     (441,2624,11806)(442,17645,9351)(443,3417,16815)(444,8609,1809)(445,
     13964,13452)(446,14327,3720)(447,2294,13326)(448,5971,7369)(449,6624,
     2559)(450,13982,16000)(451,17159,16700)(452,6680,10921)(453,17531,17270)
     (454,17371,16387)(455,12245,7318)(456,15028,9055)(457,9163,7136)(458,
     4557,10203)(459,10591,5418)(460,14506,4485)(461,14922,10727)(462,881,
     1788)(463,19135,12126)(464,13302,18283)(465,7982,578)(466,9316,1042)(467,
     15366,3007)(468,13899,17317)(469,1016,13349)(470,13090,15668)(471,12977,
     11857)(472,5705,5392)(473,539,733)(474,14638,7144)(475,13214,5902)(476,
     15267,13333)(477,15057,10547)(478,5058,5401)(479,5938,5133)(480,7088,
     18134)(481,19234,5975)(482,8804,13503)(483,3289,598)(484,15114,14584)
     (486,16326,5959)(487,19667,18825)(488,11362,12176)(489,15009,16535)(490,
     14950,7980)(491,10155,3777)(492,7736,11145)(493,10702,10627)(494,3243,
     9139)(495,8000,7374)(496,14692,4010)(498,13920,7382)(499,10671,12132)
     (500,8693,16519)(501,9350,1927)(502,3968,1172)(503,12011,13649)(504,
     14941,18670)(505,626,17837)(506,2367,9224)(507,8381,6708)(508,2360,14443)
     (509,4030,11855)(510,4233,1442)(511,1059,11561)(512,3296,2791)(513,3702,
     14132)(514,17733,15106)(516,16839,17327)(517,15802,14180)(518,11076,
     13895)(520,18479,3344)(521,16316,5741)(522,14690,15325)(523,4389,5110)
     (524,10006,6527)(525,13870,2895)(526,1163,10907)(528,3084,15714)(529,
     16789,17240)(530,16709,1444)(531,1533,13820)(532,4989,18279)(533,3597,
     1219)(534,3679,11386)(535,4431,10358)(536,16068,1255)(537,2570,16427)
     (540,13004,7110)(541,13138,19680)(542,14899,11127)(543,4839,10645)(544,
     9088,11303)(545,1778,12809)(546,8438,10275)(547,6044,6923)(548,13506,
     16298)(549,13950,19608)(550,5593,15770)(551,11169,12099)(552,16363,10913)
     (553,3267,4539)(554,14147,2792)(555,6283,15200)(556,19143,3027)(557,563,
     605)(558,12392,9165)(559,15255,2242)(560,19428,15143)(561,10995,12244)
     (562,8210,17984)(564,3008,2516)(565,5433,3984)(566,1517,7202)(567,6142,
     11349)(568,5522,14894)(569,766,16314)(570,4847,19626)(571,3796,17685)
     (572,9161,9891)(573,19167,10853)(574,9247,6416)(575,2926,732)(576,4991,
     13376)(577,16120,7741)(579,15831,16912)(580,16861,8775)(581,14429,14787)
     (582,6657,1513)(583,12533,7430)(584,1423,3521)(585,12668,7397)(586,5070,
     15849)(587,13638,3762)(588,4003,14355)(589,7711,16423)(590,8055,11378)
     (591,9214,12892)(592,5186,18974)(593,12700,12364)(594,5631,767)(595,
     18015,15346)(596,9030,8940)(597,16904,8993)(599,12197,5084)(600,18563,
     13337)(601,2326,16958)(602,1350,17640)(603,11466,4590)(604,10647,4137)
     (606,5294,1983)(607,16132,6259)(608,5448,7205)(609,16210,17302)(611,
     16769,2004)(612,6364,10652)(613,8826,8449)(614,16781,8889)(615,15981,
     3329)(616,2355,14891)(617,4081,7428)(618,2937,3630)(619,12802,15148)(620,
     18471,10098)(621,17826,1319)(622,1097,15041)(623,6659,17810)(624,4746,
     1144)(625,3053,12801)(627,15188,7325)(628,12714,18933)(629,10841,15336)
     (630,16340,9009)(631,8943,17649)(632,19239,8392)(633,3407,15427)(634,
     19566,6071)(635,18312,2898)(636,6378,10573)(637,4685,2072)(638,14260,
     11526)(640,10037,2472)(641,4397,12261)(642,14602,10371)(643,1990,19360)
     (644,5211,19610)(645,3891,6841)(646,13858,17765)(647,4601,14625)(648,
     10634,18924)(649,18698,15027)(650,2261,2927)(651,5877,683)(652,15076,
     7781)(653,18482,5824)(654,6080,3778)(655,3119,11401)(656,13685,18527)
     (657,13057,16694)(658,3645,18288)(659,16553,16184)(660,1843,18142)(661,
     16586,1127)(662,5653,13104)(663,13827,18062)(664,14665,17949)(666,8498,
     19581)(668,5625,17396)(669,6783,17440)(670,3881,6010)(671,3920,15404)
     (672,1198,12915)(673,10222,5853)(674,15848,3177)(676,9389,8848)(677,8913,
     14550)(678,16044,12283)(679,15192,18885)(680,7770,19503)(681,5348,19418)
     (682,6249,2412)(684,722,18427)(685,18271,1156)(686,5604,1013)(687,4697,
     6479)(688,3283,19101)(689,3042,15732)(690,16090,18560)(691,10801,5343)
     (692,16070,16876)(693,18921,5344)(694,11521,8426)(695,3847,9315)(696,
     2422,6711)(697,13594,5703)(698,10694,15422)(699,9021,16309)(700,18999,
     14643)(701,11764,14244)(702,9123,2001)(703,9011,16375)(704,1106,16978)
     (705,1191,1018)(706,14609,10086)(707,15508,9079)(708,10685,5929)(709,
     2922,15894)(710,5262,9229)(711,19077,5465)(712,18805,12595)(713,6735,
     16493)(714,13149,4570)(715,6664,18216)(716,12329,5691)(717,2451,6684)
     (718,8492,14058)(719,10461,13612)(720,850,17231)(723,4771,2051)(724,
     10650,4826)(725,789,9555)(726,2439,3549)(727,11967,5206)(728,749,13803)
     (729,10165,13459)(730,2245,12928)(731,6561,9178)(734,13708,10283)(735,
     8534,15103)(736,10814,16595)(737,16395,12267)(738,14287,19460)(739,10256,
     14679)(740,5398,6683)(741,11927,9698)(742,9286,16179)(743,1364,7576)(745,
     13552,11854)(746,9867,8423)(747,1675,5634)(750,12231,4196)(751,5116,5943)
     (752,8439,15330)(753,8543,823)(754,19424,3361)(755,5624,15352)(756,3901,
     6313)(757,5098,19154)(758,3543,18867)(759,17540,15100)(760,13566,4867)
     (761,4176,19430)(762,4283,14117)(763,3090,2277)(765,10993,6392)(768,
     18745,9596)(769,7326,18012)(770,16259,3961)(771,17441,9773)(772,19114,
     9976)(773,12983,13469)(774,14307,7765)(775,14681,17350)(776,7234,19624)
     (777,11897,15604)(779,19413,4270)(781,3051,11165)(782,15023,15115)(783,
     19053,14249)(784,14947,17221)(785,13200,15973)(786,14485,4099)(787,1226,
     3265)(788,7456,13545)(790,9733,2296)(791,15122,9817)(792,10310,16471)
     (793,6474,3093)(794,2384,12288)(796,15657,17943)(797,19339,17164)(798,
     17000,10300)(799,17954,9324)(800,2752,16221)(801,15782,15263)(802,18804,
     15476)(803,13098,15400)(804,19364,7703)(805,3546,1681)(806,6794,16381)
     (808,17768,18112)(809,18425,6413)(810,15316,13500)(811,2968,11360)(812,
     8190,9528)(813,9140,18713)(814,8840,10579)(815,14241,8243)(816,4836,
     13824)(817,16124,14906)(818,18821,12074)(819,14102,7880)(820,961,7907)
     (822,18125,4365)(824,4794,16209)(825,1245,14436)(826,16308,8618)(827,
     14098,3367)(828,14793,7390)(829,6898,3680)(830,9669,2514)(831,11232,1436)
     (832,8757,6772)(833,15949,6228)(834,18484,12675)(835,14386,11315)(836,
     16249,15345)(837,6204,8056)(838,6256,6685)(839,9599,10097)(840,12339,
     15678)(841,7378,10465)(842,7041,12230)(843,19434,7162)(844,5068,9663)
     (845,11400,8491)(846,1397,17389)(847,4919,1869)(848,2260,13405)(849,9264,
     10101)(851,17415,10583)(852,13063,9501)(853,14575,18878)(854,7651,12624)
     (855,7730,4065)(856,4475,16382)(857,7009,11477)(858,1972,15620)(859,8199,
     19425)(860,16668,6007)(861,6727,13874)(862,8937,2146)(863,1775,14942)
     (864,7284,15088)(865,2928,14228)(866,3709,17412)(867,6061,8896)(868,
     14773,6180)(869,5374,5548)(870,17198,14929)(871,4029,10359)(872,16084,
     5714)(873,9664,16173)(874,11043,4138)(875,7313,12904)(876,10281,9054)
     (877,17753,8527)(878,17831,7804)(879,17204,7585)(880,2382,11445)(882,
     19394,16975)(883,5650,10555)(884,9317,9363)(885,9823,14337)(886,4312,
     10111)(887,6773,12467)(889,10113,16008)(890,3021,14965)(891,18940,4971)
     (892,10137,19678)(893,6053,4434)(894,8675,17117)(896,10032,13103)(897,
     7952,17687)(898,15456,6277)(899,17911,5539)(900,8322,2846)(901,1750,1787)
     (902,15794,7524)(903,17908,6757)(904,6945,18221)(905,18196,4777)(906,
     12017,17972)(907,13193,16107)(908,19464,11818)(909,12242,15768)(910,6375,
     6083)(911,18303,2090)(912,15109,2923)(913,8550,14245)(914,16215,12053)
     (915,13355,14164)(916,3062,4183)(917,19573,17701)(919,8621,16053)(920,
     7038,17384)(921,17092,4310)(922,17919,8418)(923,5587,1323)(924,5606,
     11092)(925,8695,4900)(926,5122,19213)(927,13707,1003)(928,19590,5072)
     (929,11336,12080)(931,1559,12993)(932,13987,13186)(933,18349,1374)(934,
     11443,8731)(935,15853,7523)(936,5554,2421)(937,8300,15914)(938,1450,6682)
     (939,10526,15161)(940,11504,9549)(941,14442,19034)(942,10342,2424)(943,
     13005,9277)(944,11848,17597)(946,7367,4213)(947,17559,1489)(948,14718,
     1844)(949,9808,16216)(950,8380,3669)(951,6903,5844)(952,2606,10837)(953,
     16484,12468)(954,12690,15911)(955,17462,2848)(956,13795,7215)(957,19549,
     9589)(958,13661,4500)(959,19062,8175)(960,4340,10343)(963,9330,15739)
     (964,12166,15132)(965,10466,6573)(966,13309,14106)(967,1446,7958)(969,
     12824,2852)(970,19208,19010)(971,8106,15045)(972,10680,10988)(973,9816,
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