bin1 := (1,5097,217,2324)(2,4773,1403,2119)(3,5505,5673,3653)(4,5070,752,2027) (5,1010,33,2498)(6,6050,5816,1559)(7,7109,3413,1289)(8,776,6548,4541)(9, 6173,1657,7063)(10,3154,2843,5926)(11,6040,3282,5497)(12,303,1464,2648) (13,4260,3468,2035)(14,4511,5787,5737)(15,1649,598,895)(16,3475,3563, 1135)(17,7262,3737,1016)(18,1714,2196,2918)(19,3855,2331,1067)(20,59, 2427,935)(21,2116,2165,5600)(22,2506,4409,6743)(23,474,7283,6006)(24, 1082,2961,6212)(25,345,3657,1667)(26,3241,7228,6023)(27,5669,5263,270) (28,3467,5228,5018)(29,2327,6538,1027)(30,1130,2352,5189)(31,5466,362, 7245)(32,5977,6910,4061)(34,6138,3221,6287)(35,6091,1781,4321)(36,6748, 2276,1925)(37,4768,620,6979)(38,4585,2732,2494)(39,6256,1160,3579)(40, 1026,4915,5317)(41,3420,5116,1523)(42,2835,4010,6835)(43,3605,5875,144) (44,2287,4263,5017)(45,6703,6780,3497)(46,1409,5113,4630)(47,5293,2916, 351)(48,6230,3852,868)(49,4683,1209,3826)(50,6591,4328,4155)(51,3376, 1791,2703)(52,5906,2958,1287)(53,5664,489,2288)(54,6887,4054,3888)(55,63, 7358,2834)(56,2159,3243,3804)(57,768,2823,6067)(58,4982,969,633)(60,1522, 1873,4397)(61,2280,3178,3422)(62,7370,3869,3732)(64,3298,662,7180)(65, 1431,4832,4802)(66,685,5449,1769)(67,2534,2053,2816)(68,1962,4663,5850) (69,5911,2262,2156)(70,7301,1474,5593)(71,1634,3481,1774)(72,459,2019, 5613)(73,535,3500,1317)(74,6458,3960,1340)(75,3784,3530,5394)(76,6740, 1467,7041)(77,6349,1697,654)(78,5279,1284,4975)(79,5874,2742,5238)(80, 3017,836,3773)(81,3091,4286,3676)(82,6781,6868,2774)(83,5030,2351,2932) (84,3698,3520,5393)(85,7177,360,7008)(86,2595,3401,5985)(87,4077,4771, 5896)(88,2768,3022,5765)(89,1357,1599,2087)(90,6752,2483,5051)(91,5575, 1394,3846)(92,5631,4833,3993)(93,4955,4440,6783)(94,6411,219,3265)(95, 1943,1666,6461)(96,3348,6811,5744)(97,3209,260,272)(98,5951,3389,1950) (99,3940,4005,330)(100,5316,4491,4515)(101,441,1729,1852)(102,2746,1530, 1513)(103,6895,3953,5898)(104,5643,1520,4218)(105,1723,2606,6035)(106, 3895,5634,3367)(107,3856,2113,2726)(108,5919,6906,823)(109,3696,6944, 5778)(110,998,5578,1128)(111,617,6710,6201)(112,3929,3671,2395)(113,6073, 2836,4069)(114,1178,4019,1825)(115,6144,5701,6782)(116,4618,7357,2756) (117,4894,581,5245)(118,6026,3140,3949)(119,4080,2393,365)(120,216,3089, 499)(121,4053,1448,6101)(122,4163,4989,4998)(123,5485,575,4834)(124,1029, 1183,2546)(125,5639,1982,1226)(126,1013,1060,4858)(127,5266,7306,1585) (128,6588,4421,2887)(129,6796,5848,5828)(130,6468,455,4655)(131,5591, 1283,4347)(132,3812,4276,2084)(133,7082,2226,989)(134,6814,6596,2297) (135,5623,1965,1104)(136,2614,4962,6070)(137,3832,2122,6069)(138,716, 6996,478)(139,3932,3509,2026)(140,5412,7290,1767)(141,6171,6926,1493) (142,1365,168,3212)(143,6542,2712,3432)(145,7045,2924,952)(146,3636,5388, 2208)(147,2690,6396,3205)(148,353,1533,6338)(149,2003,3999,999)(150,3644, 1445,1529)(151,5325,2699,5996)(152,4761,6404,4030)(153,7209,3779,5315) (154,6877,4970,4679)(155,3693,1022,3827)(156,409,4055,3139)(157,4518, 2482,6945)(158,6572,3145,5584)(159,6986,224,640)(160,5555,5403,3870)(161, 1994,1107,3433)(162,5721,2207,5991)(163,5712,4466,7146)(164,2665,2203, 1241)(165,6551,5633,1578)(166,1901,6508,4739)(167,4846,2029,2306)(169, 3066,6156,2605)(170,5361,1271,6479)(171,7014,7095,638)(172,815,1158,5543) (173,6691,4512,3516)(174,5368,2283,3018)(175,4548,6284,4002)(176,406, 5374,2341)(177,5652,913,7032)(178,7195,1255,6344)(179,767,623,475)(180, 2631,3558,7123)(181,4078,4648,7188)(182,4932,5094,2175)(183,1531,5331, 3264)(184,1845,4951,6825)(185,3287,5772,5710)(186,3506,3425,5065)(187, 2597,2497,5430)(188,3972,2666,1814)(189,7278,4604,5366)(190,1820,1470, 1865)(191,1566,2934,6492)(192,1903,687,1673)(193,4801,4074,5877)(194, 4734,5618,2315)(195,1057,6605,7087)(196,6482,6577,6132)(197,2787,3296, 3408)(198,754,3849,7141)(199,7147,2982,2407)(200,5450,5122,3876)(201, 6366,7363,5620)(202,6419,1063,1713)(203,5700,2983,440)(204,2340,4341, 2939)(205,2225,4419,597)(206,805,4483,2526)(207,3670,3247,4528)(208,4499, 3643,6370)(209,6188,442,334)(210,936,803,6008)(211,1760,5409,4228)(212, 3507,2342,3236)(213,4661,1509,5241)(214,3079,3327,5422)(215,6385,5914, 2032)(218,4690,5814,3994)(220,3330,6004,2279)(221,4971,4104,2447)(222, 7079,6537,4367)(225,2444,3875,5240)(226,2528,5172,1612)(227,1256,3714, 3666)(228,358,1616,6493)(229,4749,2383,3898)(230,1489,4949,1877)(231, 3624,3181,1669)(232,1001,3263,2603)(233,5264,2859,5327)(234,2927,1972, 6828)(235,5076,2591,2739)(236,263,652,7085)(237,5069,5899,4368)(238,1822, 1273,3306)(239,1196,5262,2293)(240,1479,6939,6960)(241,736,3927,392)(242, 1755,4022,7271)(243,6856,1743,3931)(244,2717,1792,1332)(245,5686,2079, 3655)(246,460,3946,602)(247,5371,4899,6903)(248,1969,6889,7247)(249,5075, 5933,4399)(250,5533,2601,1188)(251,3580,6215,1162)(252,4084,758,6567) (253,2339,4497,5835)(254,1651,6539,5938)(255,405,5395,451)(256,1451,6574, 3710)(257,6364,860,3757)(258,7274,4911,5866)(259,4297,6609,2330)(261, 1746,4589,3025)(262,7282,4917,5498)(264,1942,2891,3546)(265,2046,3019, 3942)(266,408,3526,7281)(267,3627,4335,2556)(268,5878,5446,6911)(269, 4183,7207,907)(271,784,1310,2039)(273,4059,5339,329)(274,1968,4545,3141) (275,5733,3034,4283)(276,6415,512,429)(277,6625,1281,6720)(278,2840,399, 3679)(279,5788,2082,5471)(280,5844,4094,5136)(281,7205,4526,7371)(282, 1421,5713,5222)(283,5657,5277,6693)(284,1144)(285,862,3650,4068)(286, 4972,2878,2334)(287,3102,6891,465)(288,423,7115,6159)(289,1132,6432,5480) (290,6969,985,6112)(291,864,6709,3452)(292,5973,5524,5830)(293,2901,770, 4433)(294,4584,1268,590)(295,1653,6628,4318)(296,1933,5284,1592)(297, 3405,1099,6016)(298,3553,5531,2784)(299,1558,942,2602)(300,6382,2257, 2125)(301,3315,5561,704)(302,4146,4172,5957)(304,7025,1203,7140)(305, 4052,6400,6620)(306,819,4185,1383)(307,2140,1277,1231)(308,2314,1959, 2520)(309,5939,4936,1831)(310,670,4120,2829)(311,2806,732,6933)(312,5115, 1711,6918)(313,3559,6407,5354)(314,7005,7069,3240)(315,6104,4448,4303) (316,2479,2645,621)(317,2376,5775,3704)(318,6823,5270,6367)(319,3584, 3094,2439)(320,6511,6165,5915)(321,7162,2038,1802)(322,3242,1272,4046) (323,3196,2236,1122)(324,6607,6617,5576)(325,3056,6379,6183)(326,3491, 3027,2224)(327,1944,2729,955)(328,888,567,6424)(331,3305,1975,1406)(332, 5299,1204,4401)(333,4682,6830,1819)(335,1991,799,3825)(336,3397,960,4248) (337,3770,5736,2592)(338,379,3277,5654)(339,854,741,5297)(340,3769,906, 3544)(341,3126,4356,6145)(342,1931,3110,5120)(343,7303,2930,3369)(344, 6701,6495,7185)(346,1949,2298,6610)(347,1453,493,4503)(348,4590,824,6522) (349,2846,663,4231)(350,468,2803,1213)(352,2766,580,6744)(354,1344,3822, 5387)(355,1167,5456,2935)(356,2033,2248,1486)(357,5559,2929,2123)(359, 2704,3517,3279)(361,1280,2277,4617)(363,5312,2328,3333)(364,7206,6765, 3335)(366,5305,4015,7143)(367,4674,2875,3179)(368,2266,3184,5799)(369, 5856,1710,750)(370,3623,1665,1757)(371,5333,1475,4489)(372,3211,4273, 1569)(373,3355,3921,3915)(374,422,4923,851)(375,2759,7313,7347)(376,1621, 1472,4192)(377,1892,793,840)(378,426,3776,4913)(380,4521,2238,3830)(381, 3148,3535,4135)(382,1862,4092,3573)(383,6784,5475,3295)(384,2955,4799, 3036)(385,6600,4676,3170)(386,5519,706,5256)(387,5291,2184,7160)(388, 4390,4253,6496)(389,7252,5748,516)(390,6516,2273,3001)(391,5139,4536,778) (393,394,3800,7101)(395,4561,5512,4118)(396,1249,810,4928)(397,6139,2459, 6473)(398,5846,2408,2503)(400,4410,1347,5100)(401,2030,6337,901)(402, 6187,6640,6820)(403,4868,4268,2067)(404,2465,1324,5090)(407,6280,5131, 1165)(410,5376,5049,7184)(411,3620,1733,7107)(412,4811,3586,5970)(413, 4482,2500,3457)(414,3711,568,6560)(415,1112,6660,2396)(416,2185,7328, 7033)(417,4623,5745,4513)(418,2677,4117,1134)(419,2589,6995,2709)(420, 5803,2083,5000)(421,1285,2405,3787)(424,3278,5415,5810)(425,4990,3229, 6226)(427,485,4735,6786)(428,2424,3444,5902)(430,4751,2252,1543)(431, 2398,1148,1720)(432,1579,6044,657)(433,3402,1808,7225)(434,5541,1790, 1879)(435,3080,2644,7016)(436,2504,7070,6989)(437,2992,4727,1507)(438, 4191,6425,4302)(439,5642,2856,3431)(443,3112,5032,3950)(444,6096,6747, 2950)(445,637,6884,5259)(446,650,5242,5940)(447,3665,5968,6708)(448,5178, 3871,3474)(449,3626,3962,3512)(450,7208,875,7039)(452,3523,3459,3780) (453,5214,7308,3021)(454,3513,4332,995)(456,7004,6859,688)(457,3388,2736, 820)(458,7192,830,3428)(461,1187,3971,7227)(462,2755,1798,4879)(463,2953, 2201,5103)(464,6261,5709,4441)(466,4480,3879,2438)(467,6527,3322,2104) (469,1009,5314,5571)(470,6214,5459,6161)(471,3057,1011,1422)(472,2868, 2628,2813)(473,2373,7324,765)(476,7327,2231,5225)(477,4306,2150,3259) (479,3363,1611,5036)(480,4562,6306,3006)(481,6990,1600,2855)(482,978, 5080,5590)(483,1672,6109,3877)(484,882,5610,1325)(486,5007,643,6618)(487, 3641,5347,4210)(488,4556,3843,2014)(490,4427,6749,2066)(491,871,2354,873) (492,2607,3695,1156)(494,7302,2117,2167)(495,2847,4884,1323)(496,973, 3194,3819)(497,2452,6680,2143)(498,5795,3445,6094)(500,2594,1756,7369) (501,1517,694,2537)(502,779,2410,6157)(503,889,4337,4280)(504,3013,5880, 885)(505,4988,674,3062)(506,6850,607,2978)(507,1055,2893,5020)(508,6048, 5363,1279)(509,2194,4453,5141)(510,4114,6718,6860)(511,742,1782,2944) (513,3344,5230,6665)(514,6121,6907,5604)(515,1062,4671,5278)(517,1696, 1225,6244)(518,2888,7345,1195)(519,6726,3550,6924)(520,2413,4156,4732) (521,4842,1661,6126)(522,5827,6113,5495)(523,2310,5872,3834)(524,7050, 2414,3052)(525,3231,5053,783)(526,7186,2244,1574)(527,1382,7331,6943) (528,3575,1291,1540)(529,6429,6604,2049)(530,3336,856,1660)(531,5637, 6846,4417)(532,6876,4534,4298)(533,4673,3582,1153)(534,5546,4416,5742) (536,5805,4112,4064)(537,2370,4495,6580)(538,4827,1617,4414)(539,2381, 1855,1117)(540,4631,5237,4245)(541,5033,2388,6200)(542,5731,3617,4781) (543,3415,1446,2017)(544,4689,7226,3829)(545,6952,7237,6209)(546,6661, 5294,6623)(547,600,2461,1954)(548,6683,5487,2974)(549,2302,4346,2337) (550,6390,1923,1583)(551,7171,1641,7272)(552,5589,2031,4702)(553,910, 3187,721)(554,594,2785,5976)(555,614,6576,6904)(556,5935,6804,7235)(557, 4071,6136,3897)(558,4285,1675,6857)(559,1851,7055,7332)(560,1811,1313, 4867)(561,5350,6711,6595)(562,3973,2971,852)(563,4048,3728,7170)(564, 3681,1200,2024)(565,6670,5800,2118)(566,6682,5335,665)(569,847,1542,5123) (570,1565,3482,7299)(571,2442,1627,1996)(572,2951,6817,2403)(573,4073, 5282,1610)(574,2449,4017,3805)(576,5849,1573,4599)(577,6563,6908,4914) (578,1341,2796,6216)(579,1648,1562,3435)(582,5659,5191,2013)(583,6277, 1637,7244)(584,1772,1442,6893)(585,6386,4938,2933)(586,6488,5840,5436) (587,2548,5801,4181)(588,3911,6867,6541)(589,2619,4169,6264)(591,2260, 5203,3157)(592,7239,2179,3442)(593,1633,2954,5248)(595,2162)(596,4127, 2543,2669)(599,3742,4166,6570)(601,4840,7257,1243)(603,6089,1912,7275) (604,3257,2417,6598)(605,3948,4412,3691)(606,4462,4776,7316)(608,5861, 3268,5024)(609,5627,5105,3789)(610,3965,6430,2192)(611,2329,4154,5534) (612,4520,4125,3476)(613,3762,5143,2522)(615,4137,7080,6888)(616,1032, 1964,5182)(618,4945,2157,680)(619,4110,6826,3461)(622,2569,5005,1640) (624,4463,4855,3884)(625,3158,2889,3632)(626,2181,2558,4849)(627,6997, 4038,2557)(628,3262,3715,1477)(629,7368,2788,6512)(630,3454,1539,6030) (631,2284,684,6812)(632,6899,4468,3863)(634,2646,1500,6289)(635,5118, 1161,2062)(636,1411,4615,1927)(639,5757,3286,4256)(641,1358,4201,6967) (642,1228,1038,6387)(644,3003,866,4195)(645,1189,3838,5494)(646,4075, 4580,2805)(647,1143,7242,4738)(648,6354,3783,672)(649,6246,5332,5927) (651,6452,6197,3030)(653,2529,4542,1064)(655,4784,3416,1770)(656,3427, 6254,5863)(658,3254,6938,4531)(659,6521,3859,1603)(660,2914,1108,6389) (661,3694,4481,3075)(664,5493,3794,2176)(666,896,4999,1797)(667,1823, 1900,6685)(668,4088,1441,1184)(669,4326,6331,1439)(671,6057,5955,4703) (673,5967,1443,5340)(675,5104,6759,3572)(676,4123,2849,1416)(677,1841, 2727,6225)(678,1126,4760,5244)(679,1318,6900,2050)(681,6098,1216,4020) (682,4475,4299,4597)(683,5884,5421,5747)(686,6632,1149,6078)(689,4006, 3463,6146)(690,5037,3175,3899)(691,6797,2765,5944)(692,3319,839,3765) (693,3592,6712,5879)(695,6235,4300,1922)(696,4766,1465,2839)(697,1297, 3152,5565)(698,4847,2807,5675)(699,6125,725,2130)(700,846,6346,1330)(701, 4374,1645,3480)(702,5398,3359,4837)(703,6343,5481,6627)(705,5311,1210, 1459)(707,1492,1860,6464)(708,2480,1385,2366)(709,3690,4011,1902)(710, 3334,2663,3072)(711,5696,5428,2711)(712,2896,3541,3273)(713,3073,4313, 1037)(714,939,1561,1137)(715,944,1647,5212)(717,777,2515,4284)(718,2384, 5454,3234)(719,4770,3625,6408)(720,5445,2650,4956)(722,5548,6557,1145) (723,6422,3717,2957)(724,4777,2694,1510)(726,4666,5220,1709)(727,5258, 2002,2111)(728,3555,5588,5580)(729,5573,5302,772)(730,1999,4136,2687) (731,6723,3345,6629)(733,6829,4147,6333)(734,4230,3910,6045)(735,7163, 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