[[0,5,6,13,14,15,20,21,26,31,32,52,1047,3141,4097,6147,8192,12673],[9,10,12,17,27,29,42,47,56,61,66,86,259,261,262,642,768,1029,1731,2179,4102,4112,8769,9665],[1,3,4,7,8,11,24,25,30,33,36,45,51,60,295,1027,1062,1095,2051,2115,2308,2375,3072,4108,5383,6470,7938,8205,9281,9536,9798,11266],[2,16,22,28,41,46,48,57,69,79,134,264,265,271,302,448,512,776,1032,1038,1048,1287,1348,2316,4109,4110,4144,4160,4289,4355,5958,6592,8194,13316],[19,40,50,59,71,91,266,270,300,327,332,338,385,514,835,1024,1025,1030,1033,1044,1288,4423,4931,5120,5188,5638,9159,12293,12480,13888],[37,38,43,44,63,64,67,70,72,73,78,99,108,113,192,260,269,315,330,348,523,524,1034,1037,1039,1066,1089,1537,2053,2562,4096,4106,4124,4134,4166,4175,4228,4615,4677,4741,5057,7181,7367,10371,11713],[54,75,122,123,205,257,298,305,311,351,526,527,1045,1051,1055,1065,1072,1286,1543,1548,2436,4100,4107,4117,4130,4137,4140,4142,4170,4374,5387,7183,8204,8902,9221,10306,10564,15749],[23,35,49,80,84,107,111,128,263,268,279,307,321,578,1028,1035,1036,1053,1054,1061,1084,1094,1544,2057,2066,2496,3011,4099,4114,4116,4123,4126,4131,4139,4154,4416,4425,5135,5252,5827,5891,6913,7174,7177,7182,7238,7682,9351,9478,15427,15495,16001],[58,62,74,76,77,93,94,95,100,102,162,267,272,276,313,319,345,1063,1071,1103,1294,1350,1545,2050,2121,3206,4103,4111,4120,4127,4168,4354,4373,4484,4548,4942,5121,5125,5376,5575,6021,7173,7494,8322,8454,9025,10115,14530,14915,15622],[18,55,65,81,82,120,126,129,136,147,284,294,314,318,323,329,515,1031,1059,1077,1156,1299,1601,1666,1857,2306,3265,4098,4101,4105,4129,4384,4614,4999,5189,5318,5442,5504,6150,8200,8449,8705,9730,11076,11204,13766],[34,39,121,127,292,296,299,304,317,328,344,391,528,580,1026,1052,1069,1099,1157,1283,1293,2062,3079,3399,4104,4121,4122,4133,4141,4143,4148,4152,4159,4162,4174,4359,4807,4864,5129,6402,6474,7431,8197,8256,8263,8265,8266,8268,8271,10176,10242,12292,12549,12929,13124,13698,14086,15557],[53,96,97,116,139,140,143,150,199,201,256,258,277,286,290,297,308,316,326,775,1082,1086,1097,1140,1160,1282,1546,1799,1927,2049,2058,2065,2069,2086,3522,4161,4178,4237,4356,4358,4367,5128,5130,5379,5451,6215,7690,8459,8578,8780,10624,11008,13319,13376,16256],[105,106,109,118,137,138,197,282,288,355,536,540,1067,1070,1074,1081,1088,1101,1111,1159,1304,1329,1335,1341,2054,2060,2091,2125,3145,3650,3844,4125,4171,4173,4235,4353,4360,4375,4431,4438,4621,5127,5172,6415,7810,8208,8223,8455,8518,9742,10313,10319,11523,11846,12359,13320,15111],[89,92,103,125,133,155,156,278,283,303,322,346,396,778,1041,1043,1046,1075,1080,1093,1096,1098,1102,1126,1137,1148,1295,1338,1475,2061,2063,2071,2369,3332,4136,4145,4151,4153,4155,4157,4183,4230,4362,4364,4366,4682,4879,5122,5123,5133,5134,5142,5147,5151,5180,5181,5391,5697,6148,6216,6218,6853,7553,8196,8245,8710,9292,9986,12545,12556,12868,12998,14338,14657],[68,119,142,170,182,196,280,281,287,320,519,521,522,531,541,581,1056,1064,1087,1145,1170,1220,1229,1280,1290,1292,1309,1310,1337,1609,2048,2059,2072,2089,2092,2314,2317,3585,3780,4115,4147,4156,4163,4169,4199,4200,4361,4363,4365,4378,4402,4426,4445,4446,5144,5145,5444,5514,5701,6213,6528,7178,7301,7502,7878,8195,8207,8259,9356,9476,9862,10048,12036,12300,12301,13447],[85,104,110,132,141,144,241,291,301,312,388,390,451,513,537,539,706,716,1042,1085,1106,1108,1151,1289,1300,1303,1411,1604,1792,2056,2100,2118,2816,3085,3718,4118,4146,4172,4182,4195,4352,4357,4413,4421,4441,4611,5132,5506,5516,6146,6154,6157,6217,6222,6336,6405,7240,7438,7501,8193,8199,8224,8238,8247,8458,8460,8716,9216,9288,10433,10499,13505,15936],[88,114,124,130,131,135,159,168,173,255,275,285,331,354,394,461,516,543,705,779,1068,1091,1112,1114,1123,1136,1161,1162,1221,1281,1308,1412,1550,2105,2108,2117,2166,2186,2189,2243,2253,2629,3138,3335,4119,4158,4165,4190,4206,4214,4242,4483,4686,4866,5137,5169,5175,5205,5639,6219,6221,8203,8216,8220,8249,8320,8712,8967,9545,9920,12306,12417,12553,12611,13569,14850,15236,15686],[90,117,158,160,289,369,392,520,525,529,542,643,718,834,843,901,1079,1083,1092,1131,1135,1167,1285,1291,1297,1346,1358,1547,2088,2171,2310,2315,2374,3593,3908,4185,4208,4226,4383,4391,4424,4870,5126,5149,5158,5176,5210,5251,5398,6410,6661,6862,8212,8248,8260,8385,8513,8526,9220,9229,9283,10245,10752,10887,11140,12288,13059,13828,14401,14726,15296],[87,169,184,273,274,309,343,362,375,386,530,534,567,591,647,717,784,807,840,967,1049,1050,1100,1125,1164,1165,1347,1538,1987,2085,2169,2442,2505,2690,3209,3973,4138,4167,4184,4188,4218,4219,4238,4377,4382,4405,4552,4747,5131,5248,5901,6156,6212,6787,6926,8068,8206,8210,8254,8269,8462,8469,8477,8645,8833,9227,12296,12423,12803,13832,13834,14021,16320],[115,146,174,204,211,217,222,341,347,363,517,538,583,719,771,815,844,1040,1115,1129,1230,1314,1318,1345,1357,1606,2055,2078,2096,2114,2130,2175,2244,2305,3087,4176,4180,4186,4198,4220,4372,4380,4556,4608,4750,4934,5150,5197,5203,5222,5378,5960,6145,6162,6539,6720,7176,7234,7490,7751,8202,8264,8270,8326,8331,8467,8512,8520,8524,8706,8773,8911,9088,9411,9676,10255,10944,12096,12290,12299,12302,12550,14789,15813],[153,154,335,366,367,372,544,546,557,558,559,587,772,780,975,1060,1073,1132,1179,1302,1486,2074,2075,2076,2079,2104,2109,2110,2127,2883,3078,3333,4191,4202,4212,4231,4376,4379,4415,4619,5140,5141,5148,5165,5385,6159,6408,6414,6603,7425,8201,8217,8221,8448,8456,8457,8476,8962,9167,9265,9266,9294,9740,10246,10253,10380,11393,12105,12160,12297,12309,12311,12353,13384,13385,13446,13708,14276,14348,14349,14598,14976],[112,148,157,208,325,333,360,365,371,379,383,456,459,548,586,846,907,1078,1090,1305,1334,1340,1540,1805,2077,2177,3073,3584,3914,4135,4189,4216,4233,4255,4297,4381,4400,4410,4419,4420,4430,4544,4613,4622,4673,4936,5161,5182,5184,5194,5198,5263,5381,5384,5405,5765,6152,6158,6277,7175,7232,7243,7562,8213,8218,8219,8225,8230,8240,8255,8452,8461,8463,8582,9600,11329,11585,11907,11969,12291,12365,13252,13326,13896,14346,15044,16132],[83,98,176,180,200,218,334,349,352,393,569,584,585,588,596,774,777,782,783,832,896,1076,1113,1116,1117,1155,1166,1202,1216,1228,1315,1370,2073,2095,2097,3150,3277,3652,3913,3917,4132,4181,4217,4221,4292,4394,4427,4442,4443,4617,4618,4620,4674,5124,5136,5154,5260,5832,5837,6220,6279,6281,6285,6466,7105,8241,8252,8267,8275,9239,9348,10314,11530,12303,13325,13381,13638,14408,14597,15365,16008],[161,183,185,187,190,203,206,207,518,560,561,573,575,579,582,589,1107,1121,1133,1154,1158,1326,1361,1381,1564,1573,2081,2099,2119,2143,2251,2304,2313,2318,2324,2444,2567,2627,2696,2759,3460,4210,4223,4225,4260,4408,4553,4554,4616,4623,4683,5157,5186,5395,6175,7619,8229,8233,8236,8284,8475,8642,8652,8655,8839,9226,9228,9236,9287,9484,9605,11776,12319,12802,13389,14409,14464,16071],[145,175,186,202,252,254,310,336,340,350,356,535,550,553,593,773,786,842,908,1058,1104,1122,1144,1149,1163,1176,1307,1311,1336,1342,1355,1356,1366,1421,1485,1536,1577,1667,2102,2120,2126,2131,2176,2191,3149,3533,3534,3909,4149,4164,4187,4194,4201,4271,4370,4392,4412,4429,4466,4494,5005,5007,5156,5160,5191,5313,5324,5388,5404,5447,6084,6155,6163,7299,8209,8222,8239,8258,8330,8713,9217,9997,10249,10251,10254,12336,12809,12867,13120,15874],[167,191,324,339,376,380,395,453,566,570,571,572,897,1190,1284,1301,1306,1317,1320,1325,1339,1343,1368,1472,1539,1591,1672,1676,1741,1796,2093,2116,2122,2137,2383,2432,2563,3074,3080,3081,3083,3203,3393,4196,4204,4205,4234,4240,4272,4293,4422,4490,4632,4639,4681,4872,4933,5155,5164,5209,5402,5403,6165,6172,6915,8006,8198,8211,8231,8234,8251,8280,8282,8308,8333,8485,8715,9223,9230,9231,10250,10309,10821,11649,12323,12608,12614,12741,13061,14602,14660],[101,152,293,378,381,398,399,462,463,555,568,606,646,787,795,816,847,1109,1110,1197,1319,1328,1349,1353,1374,1408,1559,1856,2052,2084,2094,2134,2140,2142,2250,2502,2565,2568,3075,3077,3082,3147,4128,4213,4251,4298,4414,4417,4489,4545,4609,4626,4636,4805,4939,5166,5192,5193,5195,5199,5215,5377,5459,5889,5896,5902,5965,5966,6149,6534,6859,6982,8272,8334,8335,8493,8522,9224,9538,10305,10560,12360,12364,12555,13191,13958,14091,14339,15362],[198,337,358,397,405,406,545,562,564,770,813,1105,1118,1119,1143,1146,1168,1174,1178,1183,1213,1352,1371,1375,1397,1423,1549,1556,1567,1612,1614,2090,2149,2181,2185,2307,2319,2571,2630,2946,3086,3089,3094,3096,3101,3102,4177,4203,4224,4236,4243,4302,4397,4409,4411,4559,4630,5064,5143,5162,5163,5177,5183,5250,5636,5641,5961,6174,6400,6417,8215,8527,8719,9219,9244,9245,9247,10241,10501,10692,10764,11273,11855,12294,12315,12346,12352,12430,13317,13583,13702,14089,14090,14404,15174,15757],[163,361,364,377,382,552,556,597,648,651,653,769,797,836,1130,1182,1313,1323,1324,1327,1330,1332,1359,1360,1365,1401,1417,1418,1422,1563,1610,1618,1668,1797,1869,2064,2123,2312,2331,2335,2446,2570,2959,3088,3099,3140,3204,3398,3403,3725,4192,4249,4299,4371,4385,4386,4500,4612,4628,4676,4744,4993,5168,5171,5187,5327,5406,5464,5519,5569,5895,6023,6177,6663,7045,7498,7557,8129,8214,8279,8286,8317,8399,9028,9241,9246,9984,10123,10127,10263,10317,10496,10760,11457,12298,12376,12552,12737,13321,13504],[181,212,240,306,368,449,565,576,631,649,781,796,1142,1147,1153,1316,1321,1354,1363,1372,1484,1551,1608,2067,2133,2135,2184,2187,2195,2572,2884,2945,3267,4038,4150,4229,4241,4253,4254,4264,4291,4387,4432,4627,4634,4635,4675,4685,4873,4899,4937,5001,5146,5167,5211,5236,5390,5394,5450,6214,6733,7941,8262,8290,8292,8309,8388,8450,8489,8494,8516,8966,9222,9225,9232,9237,9240,9485,9541,9741,9856,10122,10244,10266,10372,10756,11270,11338,12295,12314,12341,12373,12558,12623,13331,13632,13827,14150,14208,14605,14860,15304,15311,15693],[151,171,178,189,219,223,357,574,590,599,600,799,1057,1223,1224,1369,1391,1415,1428,1441,1562,1592,1802,1803,1806,2068,2098,2139,2190,2241,2321,2322,2323,2343,2376,2381,2574,3097,3462,4239,4274,4301,4398,4399,4404,4610,4684,4695,4700,4874,5178,5200,5243,5401,5407,5513,5637,5954,6160,6161,6209,6413,7432,7750,8250,8261,8298,8302,8325,8465,8492,9235,9282,9472,9474,9673,9731,9735,10509,10511,10827,11400,11527,12229,12317,12322,12485,12559,12872,12928,13312,13383,14541,14722,15694],[172,188,213,353,402,407,409,468,598,604,607,610,652,785,1120,1172,1205,1432,1450,1557,1560,1561,2138,2152,2506,2566,2636,2821,3090,3095,3098,3100,3109,3406,3520,4209,4222,4232,4252,4284,4296,4395,4401,4407,4450,4487,4638,4742,4748,4878,5139,5190,5196,5204,5253,5257,5389,5397,5424,5449,6283,6468,7434,8226,8237,8242,8257,8273,8299,8386,8497,8523,8584,8585,8588,8704,8896,9276,9290,10248,10443,11012,11852,12046,12357,12366,12369,12382,12937,13193,13315,13323,13382,13449,13575,13765,14983,15178,15439,16195],[209,214,216,403,457,532,551,554,611,655,704,830,1296,1322,1449,1479,1541,1558,1730,1793,1858,1867,1870,1871,2080,2083,2106,2180,2332,2339,2351,2353,2360,2388,2434,2445,2507,2825,2827,2829,3103,3136,3139,3845,4248,4261,4265,4368,4393,4396,4428,4447,4485,4633,4657,4865,4877,5138,5159,5206,5319,5380,5445,5512,5632,5640,5642,5645,5652,6081,6153,6187,6194,6229,6401,6601,6659,6668,8227,8283,8285,8315,8453,8472,8482,8505,9423,9477,9492,9677,9732,10381,10822,11268,11392,12547,12941,13390,13580,13898,14343,14669,15177,15432,15436,15886],[149,227,342,413,415,417,605,619,627,630,800,817,829,961,1128,1150,1177,1193,1226,1231,1364,1402,1542,1566,1576,1581,2082,2107,2111,2112,2124,2141,2183,2248,2311,2333,2371,2379,2380,2386,2396,2561,2635,2638,2830,3084,3146,3328,3402,3715,4270,4307,4319,4436,4437,4448,4486,4558,4662,4670,4882,4938,5153,5249,5261,5410,5422,5423,5448,5571,5634,5644,5761,5825,6144,6202,6409,6412,7184,7625,7752,8281,8296,8316,8328,8332,8470,8491,8506,8529,8718,8970,9218,9286,9493,9544,10181,10292,10382,11077,11587,11974,12039,12362,12422,12426,12815,13187,13324,13388,13643,13709,13955,14984,15940],[193,237,384,387,408,412,414,424,533,603,623,639,650,794,909,1134,1138,1173,1217,1239,1389,1390,1473,1553,1565,1570,1574,1804,1862,1865,2113,2328,2334,2361,2378,2439,2634,2694,2818,2819,3091,3117,3137,3148,3340,3342,4113,4207,4211,4227,4303,4406,4433,4475,4480,4495,4629,4640,4666,4871,4935,5173,5229,5240,5246,5265,5518,6178,6349,6479,8012,8075,8232,8253,8294,8323,8390,8479,8500,8509,8546,8586,8714,8717,8782,9155,9243,9295,9304,9410,9480,9671,9992,9995,10267,10268,10497,11715,12355,12367,12682,13576,13774,13889,14406,14412,15108,15809],[195,410,411,419,454,549,621,622,640,793,803,811,825,833,845,906,1139,1253,1380,1382,1396,1409,1410,1414,1419,1554,1587,1597,1600,1611,1677,1815,1926,2148,2151,2172,2330,2366,2397,2633,3268,3330,3339,3588,3787,4197,4250,4279,4282,4290,4309,4369,4389,4403,4435,4444,4469,4488,4703,5062,5152,5228,5262,5312,5400,5414,5425,5470,5633,6211,6286,6342,6343,6406,6530,6537,6593,6983,7051,7207,7306,7689,8014,8076,8235,8246,8274,8319,8329,8393,8394,8709,8908,9091,9289,9301,9306,9307,9310,9793,11274,11528,11592,11777,12337,12356,12615,13322,14468,14853,15170],[194,245,250,404,435,443,458,473,563,612,634,662,837,838,905,1184,1189,1192,1227,1298,1351,1399,1404,1483,1552,1578,1820,1866,2087,2174,2325,2327,2329,2342,2350,2355,2573,3144,3334,3977,4245,4434,4456,4471,4647,4687,5000,5174,5185,5220,5221,5226,5244,5256,5323,5646,5892,6151,6169,6176,6184,6191,6195,6924,7170,8011,8528,8540,8910,9242,9255,9284,9299,9309,9350,9352,10311,10315,10318,10572,11269,11407,11786,12312,12380,12744,12807,12877,12995,13066,13327,13342,13775,14159,14344,14916,15494],[164,177,370,401,422,423,426,450,547,618,626,633,641,708,791,798,812,822,1124,1186,1225,1344,1377,1482,1593,1599,1603,1622,1734,1801,2136,2240,2348,2349,2373,2393,2398,2569,2693,3022,3126,3151,3338,3343,3344,3405,3594,4036,4390,4457,4461,4463,4624,4637,4651,4691,5003,5066,5218,5259,5393,5419,5643,5647,5658,5662,6171,6173,6186,6230,6411,6790,6854,6925,7052,7054,7118,7683,7687,8007,8321,8474,8486,8511,8519,8525,8969,9032,9234,9273,9540,9988,10316,10506,10628,10885,11136,11468,12304,12320,12328,12361,12427,12544,13344,13380,13518,13568,13574,13635,13646,13897,13903,14027,14217,15756],[374,432,436,437,441,601,602,613,620,636,827,1152,1175,1207,1244,1405,1406,1416,1481,1580,1583,1624,1631,2159,2212,2254,2347,2377,2419,2441,3106,3112,3115,3118,3124,3132,3133,3154,3201,3404,3457,3596,3648,3723,4267,4317,4492,4650,4655,4680,4702,4743,4751,5227,5231,5232,5238,5278,5386,5427,5441,5509,5768,5770,5771,6168,6170,6188,6204,6223,6232,6278,6280,6287,6797,7169,7427,7492,7565,7566,7815,8277,8287,8301,8314,8327,8488,8581,8587,8707,8722,8775,9233,9250,9252,9486,10439,10955,11331,11724,12106,12329,12344,12377,12557,12617,12679,13452,13454,14080,14337,14350,14474,14477,14793,15117,15234,15683,16000],[229,239,244,359,389,400,430,472,482,577,616,635,666,667,676,963,1141,1180,1201,1211,1312,1384,1385,1487,1807,1921,1986,2150,2155,2345,2358,2368,2370,2895,3208,3272,3336,3350,3586,3840,4268,4288,4451,4454,4459,4472,4481,4505,4557,4560,4641,4645,4876,5202,5208,5212,5266,5270,5272,5416,5454,5835,6196,6237,6274,6431,6472,6656,6727,7617,7822,7875,8065,8077,8243,8278,8468,8507,8708,8836,8843,8903,9251,9272,9279,9354,9355,9482,9483,9494,9499,9502,9550,9615,9794,9867,10252,10753,10958,11150,11655,11840,11906,12109,12174,12332,12333,12347,12363,12379,12387,12554,12567,12804,13336,13360,13450,13455,13516,13582,14599,14601,14603,15872],[179,242,429,489,617,654,789,814,841,1181,1196,1198,1386,1478,1480,1493,1579,1582,1605,1669,1736,1742,1822,2154,2164,2206,2224,2365,2406,2443,2500,2575,2631,2632,2702,2837,3019,3130,3143,3161,3275,3346,3597,3659,4193,4280,4294,4388,4440,4460,4477,4513,4644,4649,4668,4736,4869,4884,4893,5069,5241,5245,5320,5392,5399,5443,5453,5574,5580,5698,6205,6207,6438,6469,6671,6858,7366,7436,8311,8337,8338,8340,8342,8348,8349,8358,8451,8464,8473,8483,8498,8515,8521,8536,8537,8539,8541,8968,8971,9248,9256,9293,9481,9487,10053,10185,10243,10264,10498,11149,11337,11394,11785,11981,12289,12331,12349,12358,12370,12489,12551,12566,12574,12620,13330,14667,15049,15431,15558,16010,16201,16203],[166,224,234,442,445,464,495,595,614,625,810,1373,1387,1413,1420,1589,1590,1671,1821,1934,2070,2145,2205,2824,3076,3093,3105,3113,3135,3329,3337,3341,3352,3354,3407,3657,3969,4179,4328,4329,4333,4418,4527,4550,4653,4667,4749,4812,4894,4943,4946,5179,5242,5273,5438,5440,5446,5648,5657,5953,6181,6190,6407,6476,6658,6666,7435,7437,8134,8228,8303,8305,8344,8363,8366,8496,8514,8533,8580,8589,8768,8781,8961,9259,9261,9267,9302,9316,9326,9408,9475,9925,9933,10116,10370,10519,10888,10893,11332,11336,11533,11848,11983,12237,12239,12305,12348,12571,12800,12813,12814,13314,13374,13962,14854,15371,15375],[420,428,446,452,465,592,637,644,712,849,853,1194,1448,1594,1794,1800,1842,2101,2320,2367,2389,2560,2581,3108,3111,3125,3127,3131,3331,3358,3591,4300,4305,4327,4476,4498,4503,4631,4652,4671,4875,4881,4895,5201,5224,5239,5254,5417,5439,5452,5455,5462,5465,5635,5653,5670,5707,5708,6182,6197,6206,6540,6731,6735,6988,7041,7104,7247,7304,7426,7688,7694,7744,8307,8341,8552,8556,8770,8841,9249,9254,9257,9260,9280,9298,9346,9473,9501,9506,9993,10240,10247,10524,10636,10695,10765,10767,11275,12308,12335,12425,12563,12619,13318,14016,15303,15616,16073],[165,221,228,233,236,253,373,460,609,668,715,821,839,850,900,1171,1195,1252,1476,1497,1602,1675,1680,1813,2165,2168,2188,2245,2249,2326,2395,2508,2583,2594,2603,2758,2826,2948,3119,3134,3153,3156,3158,3167,3270,3349,3465,3535,4275,4283,4320,4491,4519,4525,4642,4665,4696,4740,4800,4890,5279,5418,5432,5433,5510,5655,5709,5763,5898,5955,6234,6282,7043,7115,7190,7244,8143,8295,8346,8351,8478,8510,8653,8784,8847,9238,9263,9269,9291,9479,9551,9998,10256,10312,10698,11458,12037,12424,12740,13056,13337,13349,13636,14085,14279,15050,15055,16323],[220,230,251,444,447,478,632,638,645,658,806,808,858,913,1200,1219,1237,1394,1430,1569,1598,1626,1627,1636,1738,1795,1864,2309,2356,2359,2399,2580,2582,2697,2881,3013,3092,3121,3211,3359,3599,3658,4246,4247,4257,4315,4449,4458,4462,4479,4658,4739,4888,4907,4930,4997,5223,5235,5258,5275,5316,5409,5412,5426,5471,5477,5834,5899,6088,6089,6167,6189,6198,6200,6276,7179,7496,7811,8387,8396,8490,8495,8590,8720,9029,9033,9317,9504,9601,9608,9613,9733,9923,10186,10432,10510,10574,10945,11531,11843,12325,12383,12492,12548,12572,12582,12677,12823,12866,12876,13577,14144,14471,14528,15112,15745,15821,16199],[225,232,238,427,440,494,628,664,665,788,792,863,920,962,1210,1222,1256,1376,1388,1403,1436,1439,1572,1595,1679,1740,2103,2153,2156,2157,2158,2198,2411,2435,2564,2589,2591,2596,2624,2700,2828,2882,3107,3114,3128,3129,3152,3598,3663,4215,4266,4281,4439,4453,4474,4518,4530,4547,4654,4678,4804,4811,4868,5234,5322,5325,5332,5413,5415,5421,5436,5437,5482,5649,5659,5903,6180,6185,6228,6238,6260,6434,6441,6478,6734,6916,6989,7180,7195,7241,7242,7433,7629,7940,8577,8733,8964,8973,8974,9278,9308,9344,9419,9490,9537,9610,9739,10258,10819,10826,11342,11467,12101,12167,12231,12316,12326,12338,12342,12351,12354,12378,12403,13340,13355,13443,14534,14538,14606,14665,14729,14786,15368,16133,16269],[425,431,671,681,805,823,969,1127,1214,1236,1379,1670,1678,1829,1859,2128,2129,2163,2197,2336,2344,2346,2382,2637,2823,3120,3186,3193,3355,3362,3531,3589,3656,3777,3783,3850,4244,4286,4295,4506,4656,4810,4815,5268,5382,5420,5457,5491,5515,5675,5767,6027,6225,6239,6403,6662,6723,7245,7302,7561,8289,8397,8484,8728,8793,9037,9311,9418,9548,9602,9743,9865,10570,11151,11264,11276,11277,11287,11404,12238,12307,12313,12318,12321,12334,12381,12420,12546,12589,12616,12621,12997,13343,13386,13893,14990,15373,15564,15884,15946],[226,231,235,416,809,824,831,856,887,1169,1187,1331,1438,1555,1584,1613,1650,1702,1844,2178,2337,2341,2422,2440,2447,2509,2585,3116,3123,3171,3174,3179,3197,3372,3394,3595,3719,3784,3853,4256,4258,4259,4310,4465,4502,4509,4543,4679,4929,4955,4998,5225,5339,5396,5411,5434,5435,5699,5766,5897,6201,6272,6284,6339,6439,6667,6669,6721,6795,6984,6986,6987,7192,7194,7197,7202,7215,7311,8013,8276,8300,8312,8324,8504,8591,8598,8711,8907,9089,9517,9549,9554,9802,10567,11328,11525,11535,11593,11652,12324,12493,12495,12560,12569,12573,12618,13255,13824,14209,14280,14342,14543,14797,14925,15374,15754],[433,475,491,594,659,669,691,804,826,851,852,859,910,927,1199,1238,1269,1454,1615,1674,1811,1812,1838,1920,1929,2146,2200,2221,2236,2237,2247,2340,2357,2403,2405,2408,2426,3183,3205,3212,3215,3587,3971,4478,4493,4661,4867,4897,4909,4944,5002,5063,5070,5326,5461,5463,5484,5669,5677,5772,6164,6166,6203,6227,6351,6404,6443,6446,6453,6483,6598,6657,6921,6990,7185,7201,7208,7222,7233,7237,7246,7499,7883,7885,8318,8501,8503,8643,8721,8732,8779,8795,8905,9305,9358,9359,9539,9546,9614,9750,10507,10882,11456,12394,12568,12587,12610,12612,12808,12810,13060,13313,13339,13645,13647,14407,14410,14924,14926,15043,15119,15425,16207],[474,490,501,698,701,721,862,911,1240,1247,1333,1426,1503,1585,1638,1646,1656,1689,1733,1814,1823,1830,1831,2173,2196,2209,2239,2497,2590,2607,3200,3214,3351,3374,3392,3395,3412,3600,3907,3982,4278,4287,4579,4625,4643,4648,4663,4692,4891,4954,5065,5214,5271,5495,6243,6251,6273,6348,7168,7187,7213,7363,7428,7563,7567,8353,8392,8466,8481,8487,8517,8583,8646,8729,8731,8737,8743,8772,8840,8975,9274,9349,9497,9510,9514,9547,9667,10125,10257,10304,10379,10504,10508,10831,11201,11209,11278,11726,12310,12330,12609,12680,13002,13197,13335,13397,13509,13837,13838,14155,14157,14347,14351,14411,14735,15364,16069],[481,615,670,675,871,1243,1378,1393,1398,1458,1568,1571,1623,1628,1634,1637,1819,1839,1868,2192,2252,2255,2599,2625,2817,2893,3166,3172,3278,3367,3373,3383,3720,3976,3980,4263,4336,4470,4497,4555,4669,4885,4889,4905,5276,5300,5496,5522,5673,5839,5906,6236,6240,6436,6449,6454,6467,6490,6596,6675,6794,7171,7198,7308,7820,7823,8293,8297,8313,8364,8398,8508,8531,8538,8594,8654,8724,8730,8734,8736,8749,8751,8778,9285,9525,9562,9746,9754,9756,10442,10446,10516,11205,11333,11340,11591,11782,12418,12488,12751,13128,13345,13367,13506,13571,13573,13891,13899,14017,14345,14664,14919,15051,15366,15621,15746,16263],[249,673,693,820,860,861,903,1242,1257,1261,1262,1433,1435,1437,1469,1588,1621,1808,1817,2147,2162,2207,2584,2602,2609,2639,2765,2954,3110,3164,3188,3592,3655,3849,4040,4046,4312,4313,4316,4507,4511,4522,4664,4726,4745,4886,4911,5067,5213,5217,5281,5314,5328,5408,5430,5472,5666,5676,5678,5681,5700,5705,5710,5962,5964,6247,6288,6305,6420,6465,6722,6855,7445,8352,8367,8395,8798,8838,8965,9258,9262,9323,9345,9360,9542,10050,10261,10285,10324,10505,10631,10637,11018,11464,12097,12451,12561,12579,12585,12801,13192,13329,13358,13369,13370,13371,13512,13581,13697,13965,14336,14353,14791,14920],[248,418,455,466,714,898,1209,1218,1241,1274,1407,1424,1444,1502,1575,1616,1653,1737,1809,1993,1998,2161,2201,2362,2391,2394,2430,2578,2588,2752,2831,3021,3165,3168,3210,3357,3363,3365,3397,3415,3463,3469,3470,3471,4314,4351,4455,4504,4508,4510,4549,4941,5216,5277,5284,5431,5582,5583,5680,6179,6192,6350,6419,6458,6475,6477,6487,6497,6542,6678,6680,6792,7191,7196,7236,7944,8244,8291,8600,8604,8605,8649,8744,8745,8750,8776,8777,9103,9160,9315,9322,9325,9376,9609,9612,9861,10260,10276,10278,10954,11017,11279,11291,12371,12586,12594,12675,12684,12685,13122,13254,13334,13589,13890,14375,15053,15552,16067],[439,476,660,683,687,857,1188,1204,1232,1258,1693,1739,1798,1861,2202,2455,2608,2847,2956,3104,3276,3464,3526,3851,4335,4452,4467,4512,4660,4705,4708,4716,4746,4892,4940,5429,5485,5498,5508,5668,5690,5696,5774,5775,5967,6183,6199,6233,6235,6248,6255,6295,6418,6425,6427,6429,6532,6543,6670,6686,6692,6729,6919,6920,6979,7172,7186,7239,7250,7430,7681,7819,8350,8374,8379,8391,8471,8576,8748,8803,8808,9040,9054,9270,9320,9353,10056,10121,10279,10286,10287,10341,10436,10502,10757,10828,11139,11598,11727,11778,11973,12044,12327,12345,12375,12408,12419,12428,12456,12591,12606,12678,12874,12942,13131,13198,13338,13833,13839,13845,13952,14223,14365,14659,14662,16009,16335],[210,215,434,485,487,657,733,747,855,868,915,1185,1278,1362,1429,1596,1673,1925,1994,2132,2170,2216,2218,2220,2222,2235,2352,2586,2620,2621,2643,2661,2703,2853,3714,3722,3852,4276,4482,4646,4659,4688,4717,4947,5247,5267,5274,5280,5294,5321,5468,5486,5578,5828,5900,6301,6416,6421,6422,6464,6535,6674,6682,6922,6985,7193,7199,7310,7443,7552,7746,7817,8357,8370,8378,8410,8414,8534,8726,8978,9324,9491,9518,9524,9528,9797,9803,9868,9989,10275,10280,10283,10284,10368,10527,10946,11265,11267,11720,11723,11789,11791,12406,12564,12570,12575,12588,12598,12674,12683,13394,13406,13960,14147,14340,14380,15685,15876],[661,672,709,722,738,790,801,874,971,972,974,1191,1234,1457,1462,1630,1642,1645,1663,1743,1833,1840,1990,2182,2194,2214,2217,2238,2260,2372,2428,2587,2600,2618,2689,2887,2888,2890,3142,3160,3176,3221,3347,3353,3401,3524,3649,3918,4285,4306,4322,4334,4464,4539,4551,4690,4710,4754,4808,4914,4916,5255,5283,5288,5469,5481,5483,5523,5576,5660,5706,5711,5910,5912,6210,6226,6302,6604,7108,7112,7119,7621,8128,8288,8304,8382,8401,8502,8543,8735,8783,8837,8906,9030,9036,9055,9268,9303,9357,9532,9859,10179,10281,10374,11011,11532,11661,11721,12110,12389,12439,12627,12687,12812,12870,12933,13578,13764,13902,14364,14596,14668,14734,15110,15363,15882],[246,477,479,828,873,878,881,888,1235,1272,1279,1400,1492,1607,1818,1872,1935,2213,2215,2453,2504,2510,2610,2755,2891,2899,3162,3163,3177,3231,3461,3615,3843,4269,4273,4318,4323,4523,4526,4672,4706,5237,5290,5292,5428,5517,5533,5577,5890,6193,6249,6292,6347,6514,6536,6664,6861,7188,7210,7212,7252,7949,8069,8306,8362,8563,8564,8742,8774,8794,8901,8963,9027,9048,9098,9156,9417,9489,9512,9513,9737,10062,10383,10529,10565,10768,12107,12339,12392,12453,12487,12581,12583,12596,12602,12605,12747,12749,13393,13441,13453,14724,15105,15179,15488,15626,15630,16003],[421,469,608,710,818,864,875,890,892,1212,1255,1264,1431,1440,1445,1466,1932,1988,2144,2204,2230,2338,2402,2409,2433,2460,2469,2476,2595,2606,2701,2951,3199,3279,3388,3468,3608,3848,3854,4304,4348,4752,4813,4814,4953,4996,5170,5289,5338,5466,5474,5525,5530,5535,5579,5656,5704,5725,5773,5905,6428,6461,6473,6600,6728,6980,7211,7303,8004,8345,8347,8480,8542,8579,8650,8723,8727,8740,8755,8771,8791,8988,9264,9318,9333,9495,9530,9533,9534,9679,9738,9753,10274,10297,10308,10697,10761,11212,11290,11295,11850,11854,12384,12421,12433,12584,12869,13186,13350,13368,13387,13391,14215,14982,14989,15054,15118,15820,16076],[656,802,869,921,968,1267,1367,1392,1427,1434,1452,1455,1474,1619,1647,1657,1930,1931,1992,1999,2203,2219,2233,2270,2363,2364,2410,2415,2437,2604,2653,2654,2679,2840,2908,3181,3207,3249,3356,3370,3371,3375,3378,3400,3532,3660,3786,3846,3856,4326,4572,4694,4697,4731,4764,4806,4910,5230,5337,5501,5663,5695,5715,5716,5913,6254,6430,6789,6927,7229,7818,8141,8359,8372,8406,8532,8548,8571,8611,8747,8981,8999,9093,9277,9300,9606,9736,9806,9996,10051,10118,10265,10269,10307,10755,11019,11078,11272,11283,11520,12391,12395,12481,12580,12590,12595,12632,12811,12935,12940,13341,13442,13572,13608,13771,14093,14095,14795,15171,15758,15817,15818,15939],[470,484,488,500,695,1246,1259,1665,1837,1923,1928,2229,2354,2387,2438,2577,2889,3015,3195,3213,3266,3273,3369,3377,3385,3418,3421,3456,3617,3721,4311,4346,4499,4528,4534,4546,4699,4707,4900,5293,5492,5500,5542,5650,5661,5703,5829,5888,5893,5919,6017,6022,6208,6242,6244,6253,6261,6269,6522,7221,7225,7266,7276,7439,7489,7495,7500,7503,7560,7695,7874,8411,8549,8554,8572,8725,8972,9371,9413,9511,9560,9563,9757,10270,10273,10321,10343,10690,10817,11289,11521,11714,12045,12340,12350,12372,12396,12398,12399,12483,12577,12820,12875,12996,13057,13351,13352,13354,13403,13517,13588,13707,14286,14358,14608,14862,15183,15235,15244,15433,15434,15629,16011],[438,507,509,511,720,731,749,876,1203,1208,1245,1270,1662,1687,1835,1889,1899,2414,2421,2511,2647,2822,3155,3194,3219,3269,3368,3376,3417,3610,3847,4034,4693,4709,4712,4718,4719,4738,4802,4883,4902,5291,5458,5507,5581,5679,5760,5918,6231,6270,6303,6440,6442,6486,6491,6665,6684,6699,6852,7189,7441,7452,7554,7757,8566,8741,8759,9253,9340,9341,9380,9505,9669,9728,10566,10762,10823,11081,11284,11293,11401,11406,11465,12104,12111,12224,12393,12397,12562,12607,12738,12806,12873,12878,13064,13065,13069,13070,13130,13134,13261,13328,13333,13514,13604,13639,13830,13835,14084,14359,14415,14423,14848,14859,14861,15241,15246,15369,15435,15497,15501],[467,702,734,848,854,867,870,886,893,1249,1268,1276,1453,1507,1625,1639,1640,1651,1652,1690,1694,1729,1816,1836,1848,1850,1898,1906,2160,2193,2242,2261,2266,2404,2579,2601,2617,2619,2622,3182,3224,3227,3408,3605,3871,4542,4701,4713,4715,4723,4880,4994,5285,5367,5460,5467,5480,5503,6445,6493,6551,6687,6724,6732,7228,7230,7451,7455,7491,7497,7680,7691,7821,8015,8373,8550,8555,8558,8559,8595,8601,8603,8607,8641,8762,8844,8960,9039,9321,9329,9335,9338,9496,9503,9516,9758,9801,9869,9991,10441,10526,10629,11086,11271,11343,11534,11853,12041,12162,12484,13359,13409,13579,13640,13701,14221,14414,14466,14475,15041,15690,16129,16258],[483,497,503,663,713,724,877,1395,1461,1477,1509,1824,1852,1863,1885,2232,2392,2425,2454,2459,2576,2623,2646,2763,2766,3178,3180,3228,3386,3387,3423,3525,3611,4344,4347,4533,4563,4714,4722,4727,4767,4803,4898,5058,5061,5219,5269,5343,5511,5672,5824,6019,6085,6092,6252,6299,6344,6424,7200,7219,7223,7314,7364,7942,8142,8360,8437,8545,8557,8565,8570,8651,8746,8763,8767,8792,9035,9297,9364,9409,9416,9420,9500,9526,9531,9734,9749,9796,10271,10576,10883,11080,11084,11292,11339,11341,11851,11910,12388,12429,12431,13121,13132,13392,13414,13606,13614,13825,14220,14275,14341,14388,14537,14539,14731,15498,15812,15879,16013,16196,16267],[508,686,879,904,1629,1643,1883,1886,1995,2211,2263,2413,2598,2626,2860,2892,2952,2955,2958,3159,3170,3223,3274,3283,3467,3609,3712,4277,4331,4473,4538,4698,4704,4735,4765,4901,4906,4913,5311,5340,5373,5475,5502,5505,5526,5538,5667,5687,5952,6080,6094,6250,6297,6314,6451,6681,7042,7209,7231,7370,7373,7440,7450,7506,7618,8760,8788,8848,8904,9000,9007,9026,9034,9336,9337,9339,9343,9509,9519,9556,9675,10289,10310,10377,10378,10512,10562,10568,10575,10586,11294,11403,11529,11653,11657,12410,12625,12638,12879,13075,13366,13587,13642,13644,13652,13768,13849,14148,15302,15361,15370,15428,15561,15881,16079,16200,16271],[696,725,728,865,889,899,977,1641,1644,1658,1686,1728,1756,1757,1826,1851,1860,2223,2246,2258,2259,2268,2385,2458,2461,2499,2501,2838,2894,3192,3225,3360,3413,3603,3653,3654,3916,4033,4330,4516,4521,4531,4586,4711,4728,4904,4908,4921,4965,5307,5342,5370,5479,5568,6258,6259,6266,6267,6507,6860,7224,7264,7309,7374,7442,7457,7756,8355,8389,8404,8551,8573,8575,8606,8608,8610,8616,8789,9334,9361,9422,9527,9529,9747,9805,9815,10325,10331,10571,10590,11075,11397,11526,11658,12386,12390,12482,12490,12491,12494,12622,12819,12938,13071,13356,13379,13428,13515,13605,13773,14366,14367,14393,14396,14399,14592,14607,14666,15115,15618,16131,16327],[493,504,505,711,872,895,964,970,1251,1383,1467,1494,1498,1732,1744,1755,1810,1845,1854,1876,1880,1984,2167,2265,2644,2762,2767,2833,3217,3237,3289,3294,3345,3390,3416,3590,3661,3905,4262,4308,4524,4537,4561,4582,4589,4924,4932,4963,5207,5264,5298,5317,5693,5702,5714,6341,6433,6447,6459,6463,6541,6798,6991,7465,8402,8499,8530,8569,8786,8983,8990,9043,9275,9312,9342,9365,9368,9387,9415,9574,9748,9987,9994,10320,10329,10333,10503,10563,10889,11015,11145,11281,11297,11334,11459,12034,12368,12401,12404,12438,12444,12486,12597,12633,12739,13068,13184,13194,13398,13593,13651,13829,14727,14730,15114,15116,15182,15310,15681,15887,16142,16202],[697,883,914,976,1277,1443,1451,1468,1664,1750,1828,1895,1933,1939,1950,2276,2384,2390,2412,2463,2592,2670,2841,3157,3184,3364,3391,3420,3426,3601,3785,3855,3911,3912,3915,4349,4573,4689,4737,4759,4927,5010,5282,5295,5315,5341,5473,5476,5534,5682,5683,5911,5914,6241,6265,6275,6313,6318,6423,6426,6444,6482,6538,6595,7111,7279,7467,7626,8422,8644,8993,9515,9553,9557,9795,9929,9931,10180,10299,10335,10376,10389,10500,10633,10635,10890,11286,11588,11716,11784,11909,11912,11914,12434,12436,12445,12446,12565,12600,12603,12634,12681,12821,12865,13067,13372,13407,13594,13599,13710,13762,14478,14979,15113,15378,15950],[492,510,680,960,990,1260,1496,1620,1659,1684,1711,1759,1874,2283,2456,2593,2832,2957,3169,3218,3287,3361,3389,3422,3619,3627,3841,4341,4342,4501,4520,4536,4593,4762,4917,4922,4925,4958,4970,5717,5737,5769,5780,5908,6030,6093,6298,6338,6471,6531,6673,6676,6693,6702,6726,7116,7204,7227,7255,7369,7371,7429,7471,7555,7686,7947,8000,8384,8562,8753,8757,8766,8813,8815,8976,8986,9002,9099,9100,9162,9421,9567,9576,10262,10282,10393,10444,10520,10521,10523,10639,11016,11345,11358,11469,11787,11979,12343,12442,12443,12471,12641,12651,12653,12805,12817,12883,12943,13062,13135,13411,13448,13508,13596,13597,13826,14020,14427,14476,14595,14987,15360,15560],[674,682,684,707,739,924,930,933,1489,1500,1682,1832,1873,1875,1913,1916,1943,2199,2400,2418,2420,2431,2472,2498,2613,2628,2648,2688,2692,2699,2761,2764,3379,3410,3424,3466,3981,4338,4541,4584,4720,4732,4887,4959,5004,5009,5286,5287,5306,5310,5572,5689,5691,5694,5719,5723,5727,5731,5735,5894,5970,6246,6364,6679,6703,6791,6796,6912,6933,6978,7203,7217,7235,7251,7261,7263,7277,7285,7296,7307,7375,7630,8079,8339,8377,8553,8764,8765,8796,8810,8845,8855,8989,9158,9314,9347,9369,9414,9535,9583,9630,9866,9985,10003,10300,10385,10517,10569,10573,10763,10766,10818,11470,11972,12042,12173,12235,12385,12414,12441,12644,12839,12885,13348,13357,13584,13772,14272,14354,14356,14363,14600,14788],[685,689,750,902,1215,1655,1703,1713,1735,1877,1882,1884,1946,1951,2427,2457,2466,2473,2503,2640,2671,2695,2760,2820,2863,2953,3384,3419,3790,4321,4325,4566,4571,4756,4768,4794,4975,5006,5303,5304,5309,5329,5356,5363,5494,5529,5532,5684,5740,6358,6481,6492,6660,6730,6923,7248,7305,7372,7456,7692,7809,7816,8403,8428,8430,8544,8547,8567,8617,8618,8640,8648,8842,8987,9031,9328,9384,9412,9431,9543,9559,9569,9579,9611,9617,9729,9871,10057,10339,10447,10702,11296,11348,11352,11596,11779,11788,12432,12440,12457,12470,12624,12631,12637,12640,12686,12871,13332,13855,14083,14219,14402,15499,15617,15816,16014,16137,16206,16260],[679,894,940,941,973,987,988,1263,1447,1470,1471,1635,1834,1847,1853,2462,2474,2483,2839,2880,2885,2904,3017,3202,3220,3366,3396,3528,3606,3622,3727,4339,4343,4529,4588,4781,4951,5023,5071,5233,5301,5497,5549,5720,5721,5724,5838,5933,5956,5977,6307,6501,6602,6685,6696,7049,7206,7214,7693,8365,8376,8380,8383,8620,8660,8846,8909,9014,9038,9109,9330,9370,9382,9561,9570,9619,9764,9792,9804,9930,10011,10058,10113,10327,10345,10348,10589,10759,10894,11009,11200,11311,11313,11330,12234,12416,12461,12630,12639,12824,12830,13006,13063,13085,13458,13591,13592,13598,13637,13847,13853,14405,14472,14473,14620,14792,14796,14857,14985,15048,15173,15429,15624,15628],[243,756,866,880,918,942,1233,1425,1514,1691,1849,1855,1878,1915,2231,2518,2612,2651,2656,2680,2685,2698,2706,2708,2753,2843,3020,3873,4332,4570,4757,4822,4915,4962,5330,5344,5520,5674,5692,5726,6264,6289,6346,6529,6605,6606,6725,6914,6928,7258,7260,7297,7464,7488,7516,7699,7948,8078,8361,8381,8596,8756,8977,9092,9319,9327,9390,9604,9664,9924,9999,10295,10326,10375,10445,10530,10538,10549,10638,10789,10829,11350,11355,11543,12166,12411,12473,12601,12613,12648,12746,13058,13189,13364,13402,13663,13850,13900,13963,14362,14376,14403,14479,15379,15388,15631],[486,677,700,703,762,1442,1632,1887,2264,2279,2303,2424,2450,2605,2641,2652,3010,3175,3348,3602,3638,3662,3968,4903,4957,5017,5297,5299,5352,5584,5585,5595,5596,5664,5730,5734,5736,6025,6028,6029,6224,6256,6306,6460,6533,6552,6607,6694,6918,7226,7256,7257,7259,7262,7424,7454,7951,8343,8354,8619,8738,8739,8752,8758,8761,8982,8991,9094,9096,9362,9366,9367,9508,9603,9768,9864,9875,9934,10259,10290,10294,10515,10518,10691,11522,12170,12374,12409,12437,12604,12626,12636,12688,12750,12816,13000,13007,13445,13451,13520,13570,13609,13641,13831,13836,13901,14096,14158,14357,14422,14428,14430,14431,14593,14991,15242,15627,16198],[471,496,498,690,740,760,951,1254,1511,1692,1698,1708,1754,1827,2234,2280,2286,2448,2449,2479,2645,2669,2704,2714,2756,2836,2845,3190,3196,3380,3414,3437,3614,3724,3842,4517,4721,4834,4928,4956,5308,5333,5456,5487,5547,5712,5943,5963,5975,6315,6345,6456,6489,6504,6786,7053,7253,7298,7300,7473,7564,7685,7753,8009,8310,8336,8400,8412,8423,8560,8657,8670,8799,8805,8897,9004,9006,9271,9375,9498,9618,9751,9800,9883,9990,10005,10006,10293,10302,10330,10537,10578,10625,10794,10825,10948,11398,12463,12629,12831,12847,12864,12892,13133,13361,13377,13401,13405,13531,13959,14109,14382,14413,14419,14604,14852,14914,15046,15372,15426,15563,16328],[506,678,694,891,1495,1517,1586,1617,1648,1709,1752,1894,1996,2228,2262,2274,2520,2649,2678,2834,2864,2944,3187,3226,3233,3240,3243,3436,3459,3477,3483,3628,3631,3643,3726,3776,3975,3983,4345,4564,4587,4755,4775,4784,4809,4919,4972,4995,5013,5296,5539,5688,5713,5722,5762,5764,5916,5922,6268,6455,6462,6499,6597,6737,6917,7360,7381,7747,7872,7945,8405,8413,8446,8447,8647,8835,9001,9102,9164,9313,9372,9373,9374,9435,9520,9565,9573,9759,9799,9807,9928,10071,10373,10754,10839,11083,11405,11595,11844,12412,12697,12829,12884,13123,13373,13424,13466,13586,14371,14372,14400,14465,14533,14536,14621,15367,15384,15386,15391,15424,15623,15751,15942,15947],[629,729,730,819,884,917,926,966,980,1273,1464,1465,1499,1660,1661,1901,2210,2269,2284,2287,2416,2482,2491,2650,2655,2691,2718,2848,2855,3173,3189,3293,3458,3634,3646,3665,3669,3673,3717,4350,4567,4602,4607,4734,4770,4778,4831,4920,4948,5488,5551,5651,5833,5927,5932,5968,6035,6091,6245,6294,6296,6300,6362,6495,6508,6545,6556,6749,7268,7384,7504,7628,7764,7886,7950,8408,8426,8431,8602,8818,8992,9331,9377,9395,9566,9678,9769,9775,10075,10120,10277,10347,10440,10450,10561,10591,10634,10703,11020,11031,11141,12499,12576,12699,12702,12710,12742,13001,13347,13362,13404,13422,13634,13658,13770,14088,14094,14284,14529,14856,15553],[732,735,744,939,1248,1271,1501,1695,1825,1881,1910,2208,2277,2291,2513,2526,2614,2616,2657,2715,2846,3229,3291,3475,3537,3625,3678,3919,3979,4337,4515,4574,4577,4591,4758,4766,4777,4783,4992,5083,5305,5573,5654,5718,5923,6016,6087,6293,6356,6435,6448,6488,6510,6526,6558,6559,6697,6736,6849,6936,7216,7218,7254,7446,7481,8066,8409,8416,8638,8826,9046,9097,9427,9523,9636,9668,9770,9935,10548,10552,10580,10587,10630,10758,10776,10845,11305,11327,11597,11662,11725,11783,11847,12578,12654,12838,12843,12845,12934,12944,13129,13143,13196,13199,13249,13353,13417,13418,13420,13434,13444,13700,14026,14151,14156,14281,14379,16136],[746,757,923,932,991,1206,1250,1749,1843,1997,2464,2521,2712,2858,3008,3246,3286,3486,3604,3676,3869,4535,4569,4597,4729,4730,4753,4763,4782,4816,4912,4926,5302,5331,5348,5351,5543,5553,5598,5729,5836,5926,5959,6326,6340,6366,6741,6932,7117,7205,7459,7485,7559,7705,7758,8074,8415,8420,8424,8429,8599,8622,8627,8787,8802,8829,8830,8863,8985,9015,9056,9400,9407,9589,9808,9860,9932,10060,10291,10328,10359,10542,10632,10891,10895,11037,11288,11309,11402,11463,11590,12047,12226,12504,12635,12649,12853,12860,13400,13456,13519,13631,13671,13704,13715,13964,14029,14030,14378,14392,14469,14656,14794,14849,15104,15387,15437,15438,15562,15567,15632,15752,15944,16138],[699,745,922,965,984,1446,1460,1523,1719,2267,2271,2278,2666,2861,3198,3230,3245,3264,3411,3450,3451,3612,3641,3860,4043,4568,4733,4772,4827,4923,5019,5076,5346,5349,5478,5528,5531,5590,5783,5931,5935,6041,6271,6494,6548,6700,6788,7315,7468,7470,7518,7754,7755,7759,8368,8369,8418,8535,8612,8629,8856,8862,8979,9394,9432,9433,9582,9840,9863,10049,10054,10334,10406,10434,10457,10559,10830,11035,11282,11304,11471,11586,11599,11790,11976,11982,12102,12447,12496,12508,12599,12690,12748,12818,12844,12848,12936,13004,13125,13195,13378,13408,13423,13439,13470,13612,13615,13657,13721,13966,14082,14087,14390,14540,14728,14986,15490,15814,15880,16068],[480,743,764,885,916,919,925,929,936,997,1512,1685,1688,1721,1922,2257,2281,2285,2290,2401,2423,2611,2664,2742,2842,2852,2865,2886,3191,3236,3238,3271,3431,3440,3453,3639,3651,4575,4780,4976,5056,5079,5359,5489,5550,5686,5781,5796,5826,5907,5915,5917,6328,6337,6373,6432,6452,6503,6505,6509,6613,6620,7267,7368,7458,7515,7575,7631,7684,7710,7879,7937,7939,8135,8592,8754,8832,8834,9161,9558,9564,9581,9588,9760,10014,10124,10525,10579,10701,10846,11307,11538,11654,12169,12407,12459,12498,12661,12696,12703,12745,12828,12854,12858,12889,12895,13005,13089,13399,13416,13471,13510,13590,14092,14211,14394,14397,14684,15176,15237,15625,15948,16005,16204,16326],[499,1265,1633,1747,1896,1944,1955,2227,2530,2856,3122,3247,3427,3441,3473,3530,3675,3858,3904,3924,3935,4468,4496,4594,4769,4773,4791,4918,4966,4988,5082,5499,5665,5671,5920,5930,5934,6090,6262,6317,6553,6683,6688,6939,6943,6977,7447,7462,7623,7698,7748,7749,8371,8435,8614,8635,8811,8853,8857,8900,9053,9296,9393,9672,9674,9761,9763,9771,9776,9857,10055,10126,10187,10323,10536,10555,10688,10778,11022,11079,11082,11346,11524,11589,12650,12672,12676,12694,12698,12825,12826,12836,12837,12841,12939,13072,13082,13440,13513,13595,13611,13613,13703,13957,14368,14918,14921,14927,15240,15299,15397,15430,15493,15680,15695,16007,16077],[247,624,938,1463,1504,1720,1758,2407,2451,2480,2519,2522,2524,2525,2642,2687,2757,2774,2857,2862,3185,3235,3299,3425,3446,3529,3623,3630,3664,3670,3732,4340,4580,4600,4760,4761,4779,4818,4820,4986,5545,5562,5831,6086,6095,6257,6325,6381,6485,6549,6554,6610,6695,6711,7050,7055,7113,7288,7289,7365,7448,7449,7513,7579,7627,7768,7812,8010,8658,8797,8822,8994,8998,9003,9017,9051,9165,9521,9577,9580,9773,10272,10332,10365,10369,10532,10533,10824,10892,10950,11074,11781,11849,11917,12400,12413,12415,12479,12509,12655,12667,13076,13185,13460,13462,13620,13633,13706,13848,13851,13894,14024,14097,14273,14633,14636,15169,15692],[931,949,954,957,1275,1456,1534,1903,1924,2225,2256,2467,2477,2665,2859,2873,3256,3257,3258,3310,3613,3666,3865,4045,4606,4771,4824,4833,4968,4982,5086,5353,5357,5521,5524,5556,5560,5588,5728,5751,5777,5843,6024,6316,6352,6355,6437,6519,6710,6930,6937,7312,7453,7475,7477,7478,7482,7505,7511,7718,7745,7936,7946,8008,8356,8421,8807,8852,9024,9119,9552,9578,9752,10059,10114,10301,10384,10437,11010,11354,11359,11396,11408,11537,11545,11549,11659,11660,11796,11916,11919,12038,12405,12448,12497,12646,12652,12660,12931,13375,13528,13617,13895,13906,13916,14106,14355,14594,14623,14658,14787,15377,15502,15815,15949,16141,16264],[1491,1513,1654,1699,1725,1891,1919,2465,2475,2514,2597,2711,2751,2872,2901,3259,3438,3454,3683,3906,3978,4576,4604,4793,4798,4969,4973,5085,5536,5548,5750,5784,5904,5909,5929,5939,5948,6040,6310,6361,6506,6617,6793,6938,6949,6992,7275,7317,7361,7460,7493,7696,7708,7760,8003,8070,8864,8878,8984,9018,9379,9426,9755,9766,9783,9818,9870,10296,10303,10356,10438,10449,10534,10541,10545,10598,10640,10699,10837,10952,10953,10957,11303,11308,11318,11366,11552,11594,12040,12402,12507,12511,12516,12628,12666,12861,12882,12930,13150,13436,13625,13763,13767,14384,14488,14489,14628,14629,14858,14988,15382,15688,15875,15945,16329],[726,763,1522,1524,1529,1683,1879,1941,1953,2282,2659,2748,2874,3241,3242,3288,3382,3433,3523,4540,4596,4896,4960,5014,5354,5355,5527,5546,5557,5594,5597,5749,5928,5957,6357,6360,6567,6715,6750,6785,6799,6935,7044,7109,7110,7286,7519,7706,7882,7887,8623,8633,8664,8668,8827,8860,9005,9019,9064,9066,9332,9488,9627,9629,9781,9813,9816,9820,9858,10010,10052,10183,10344,10350,10460,10539,10543,10557,10783,10820,10884,10959,11014,11144,11146,11285,11299,11322,11326,11804,12032,12455,12458,12526,12832,12842,12862,12932,13415,13495,13600,13616,13725,13860,13877,13911,14377,14395,14470,14639,14686,14798,14863,14917,15385,15646,15689,15755,15878,15885,16324],[736,748,751,937,958,1488,1505,1506,1991,2452,2470,2744,2749,3244,3250,3435,3439,3472,3504,3618,4032,4565,4823,4952,4974,5020,5022,5068,5335,5358,5490,5593,5601,5604,5685,5756,5787,5937,5989,6026,6327,6329,6331,6574,6698,6742,6784,6856,6976,7283,7469,7483,7524,7582,7943,8375,8407,8568,8812,8824,8858,9389,9391,9429,9555,9568,9607,9623,9624,9666,10074,10117,10337,10353,10435,10522,10769,10775,10816,10956,11306,11335,11913,12108,12435,12474,12506,12642,12834,12840,12856,12888,13127,13256,13478,13648,13654,13676,13678,13696,13869,14361,14398,14610,15445,15448,15453,15454,15619,15620],[935,1519,1520,1748,1890,1948,1961,1985,2003,2488,2495,2527,2667,2674,2709,2717,2854,2869,3290,3479,3779,3781,3862,3872,3970,4042,4789,4828,4950,5350,5587,5786,5848,5850,5949,5971,5978,5983,5998,6031,6036,6309,6457,6496,6672,6707,6712,6857,6934,7013,7114,7326,7479,7514,7556,7578,7581,8138,8593,8828,8867,9016,9047,9061,9378,9680,9765,9814,10399,10531,10544,10700,10771,11023,11298,11301,11302,11541,11551,11584,11795,11911,12477,12664,12743,12851,12898,12993,13260,13413,13914,14018,14153,14154,14360,14370,14485,14542,14611,14616,14670,14679,15503,16015,16075,16078,16130],[502,761,1515,1518,1892,1908,2226,2288,2493,2615,2658,2722,2844,2905,2907,3447,3527,3868,3910,4037,4598,4724,4787,4801,4830,4991,5016,5347,5493,5537,5599,5738,5739,5741,5744,5788,5789,5849,5852,5947,5981,6083,6311,6369,6480,6484,6557,6599,6716,6743,6747,6809,6813,7287,7323,7486,7522,7533,7558,7569,7635,8002,8137,8425,8597,8609,8996,9402,9404,9507,9762,9790,9872,9927,10012,10023,10061,10065,10077,10189,10298,10396,10880,11148,11210,11214,11462,11539,11656,11717,12100,12452,12460,12462,12510,12531,12593,12689,12726,12846,12893,12999,13074,13257,13346,13435,13527,13607,13610,13665,13685,13699,13712,13909,14149,14426,14491,14532,14618,14661,14671,14676,14922,15233,15306,15308,15443,15892,15943],[723,934,943,950,978,999,1681,1704,1783,2663,2868,2900,2913,2967,3222,3232,3253,3292,3305,3307,3452,3480,3644,3788,4514,4585,4725,4979,4983,4984,5567,5570,5776,5790,5942,5973,5990,6290,6365,6367,6563,6569,6618,6619,6622,6691,6701,6709,6717,6748,6851,7023,7269,7290,7389,7480,7644,7724,7813,8001,8574,8661,8672,8801,8921,9022,9101,9157,9646,9670,9745,9785,9811,10001,10007,10027,10063,10064,10184,10322,10366,10387,10597,10626,10790,10897,11353,11357,11600,11611,11977,11978,12657,12700,12714,12827,12909,12956,13079,13092,13100,13105,13457,13463,13488,13525,13532,13672,13892,13912,14214,14417,14421,14482,14681,15180,15554,15750,15896,16140,16143,16194],[688,742,947,985,1706,1710,1753,1760,1775,1917,1918,1960,1965,1967,2275,2512,2516,2677,2684,2724,2732,2754,2902,2903,3281,3429,3448,3629,3647,3791,3894,4324,4583,4795,4949,5336,5345,5360,5746,5782,5785,5791,5798,5803,5921,6098,6304,6312,6330,6450,6746,6807,6812,6863,6957,7006,7016,7265,7270,7316,7327,7328,7507,7517,7529,7620,7624,7702,7707,8071,8073,8136,8139,8427,8440,8628,8666,9363,9388,9572,9593,9626,9634,9788,9823,9853,9926,9936,10593,10627,10907,11013,11208,11542,11572,11803,11915,12454,12538,12540,12658,13087,13126,13410,13426,13585,13621,13622,13661,13722,13840,13954,14352,14373,14383,14425,14720,14721,14867,14977,15047,15106,15403,15500,15566,15642,15682,15687,15897,15903],[692,1490,1700,1768,1900,1938,1942,2296,2300,2468,2492,2686,2739,2950,2970,3430,3434,3478,3548,3789,3867,3974,4799,4825,4981,5072,5366,5558,5743,5755,5993,6291,6332,6333,6392,6594,7321,7322,7349,7510,7532,7574,7622,7824,8656,8667,8809,8817,9683,9689,9692,9782,9787,9880,9946,10020,10029,10355,10415,10535,10550,10604,10653,10770,10772,10911,11021,11088,11138,11347,11466,11544,11547,11554,11971,12161,12232,12466,12500,12643,12833,12894,12903,12914,12946,12953,12957,13083,13151,13507,13511,13530,13630,13660,13662,13705,13711,13726,13908,14216,14381,14385,14439,15309,15399,15401,15407,16065],[727,753,882,945,989,1459,1530,1535,1765,1774,1902,1949,1989,2005,2015,2289,2298,2489,2662,2734,2784,2876,2947,3309,3316,3381,3445,3495,3499,3667,3782,3886,3930,4041,4044,4562,4967,5087,5364,5591,5742,5753,5801,5812,5924,5972,6018,6335,6511,6547,6555,6561,6951,7000,7220,7249,7280,7319,7325,7333,7336,7340,7633,7697,7701,7808,8021,8800,8831,8898,8899,8914,9071,9385,9436,9825,9951,10101,10178,10336,10357,10398,10462,10588,10607,10696,10777,10949,11041,11147,11211,11280,11320,11420,11648,11908,12172,12175,12233,12695,12911,12959,12994,13099,13248,13396,13419,13438,13468,13603,13627,13629,13961,14287,14435,14467,14614,14615,14869,15691,16072],[741,912,952,1000,1007,1531,1533,1696,1888,1897,1914,1963,2301,2429,2481,2523,2668,2777,2835,2949,3023,3255,3302,3442,3485,3624,3637,3668,3690,3713,3778,3870,3922,3928,3934,4845,4971,5025,5084,5559,5819,5830,5844,5976,5980,6389,6518,6714,6718,6719,6740,6744,6745,6806,6868,6956,7338,7343,7359,7362,7616,7704,8632,8634,8637,8659,8665,8806,8825,8880,8918,9104,9152,9428,9439,9571,9591,9594,9631,9645,9686,9882,10008,10016,10079,10188,10391,10556,10605,10693,10779,10780,10781,10799,10843,11029,11310,11565,11722,12099,12467,12502,12645,12692,12759,12822,12835,12902,12955,12992,13136,13251,13365,13489,13626,13761,13769,14023,14031,14152,14549,14723,14855,15052,15107,15181,15405,15446,15492,16205,16270],[1006,1715,1771,1773,1893,1945,2299,2302,2478,2531,2540,2775,2960,2965,3012,3234,3239,3432,3640,3642,3672,3679,3716,3733,4790,4796,4829,4842,4985,5015,5032,5561,5752,5757,5851,5925,5979,5999,6263,6395,6500,7048,7062,7291,7466,7881,7884,7965,7967,8132,8133,8140,8433,8443,8669,8683,8820,8875,9057,9090,9108,9154,9642,9849,10000,10009,10013,10015,10191,10394,10395,10402,10540,10558,10600,10694,11032,11034,11048,11207,11423,11859,12656,12954,13080,13263,13649,13650,13664,13692,13841,13956,14531,14619,14912,15381,15393,15877,15883,16074,16257,16330,16331],[955,1527,1697,1701,1841,2295,2490,2533,2538,2681,2770,2772,2851,2866,2906,3216,3303,3487,3551,3607,3621,3674,3681,4792,4819,4989,5034,5035,5563,5564,5592,5758,5946,5992,6004,6020,6042,6319,6334,6353,6704,6769,6774,6808,7002,7040,7066,7068,7521,7700,7711,7721,7957,7961,8432,8441,8624,8630,8663,8804,8859,8919,8927,9008,9010,9011,9021,9084,9163,9406,9438,9648,9695,9848,10072,10112,10177,10288,10349,10463,10583,10596,10641,10689,10838,10841,11072,11143,11213,11312,11319,11324,11461,11871,12033,12518,12668,12736,12857,12880,12951,12952,13081,13084,13110,13154,13533,13656,13867,13974,14028,14098,14218,14447,14484,14693,14868,14923,14981,15175,15247,15491,15496,15889,16268],[754,1516,1528,1532,1705,1723,1727,2682,2683,2713,2867,2926,2963,3009,3260,3280,3295,3304,3481,3484,3488,3540,3677,3927,3990,4776,4817,5018,5030,5060,5544,5565,5845,6320,6363,6378,6502,6706,6940,7003,7046,7273,7278,7293,7294,7335,7534,7722,7766,7772,7960,8419,8790,8814,8821,9112,9166,9399,9522,9598,9628,9688,9693,9780,9786,9791,9821,9921,10392,10513,10840,11085,11323,11373,11419,11548,11553,11578,11601,11663,11809,11841,11858,12168,12505,12647,12670,12671,12907,13003,13094,13107,13118,13163,13258,13425,13469,13483,13484,13674,13681,13776,13842,13865,13969,14019,14025,14081,14609,14877,15301,15941,16261],[765,767,982,986,1707,1718,1912,2515,2660,2672,2897,2919,2969,2975,3285,3700,3731,3933,3941,4844,4961,5745,5747,5805,5941,5987,6047,6096,6386,6525,6571,6612,6739,6781,6804,6942,6981,6995,7007,7876,7955,8436,8445,8636,8671,8674,8816,8924,9076,9105,9401,9430,9585,9595,9625,9647,9922,10030,10031,10367,10409,10413,10417,10454,10554,10602,10644,10645,10648,10650,10652,11087,11101,11202,11325,11367,11665,11780,11975,12225,12469,12665,12701,12764,12863,13078,13145,13395,13421,13465,13474,13602,13719,13720,13863,13864,13913,13967,14107,14145,14146,14274,14481,14624,14732,14733,14784,14785,14799,14870,15124,15489,15637,15639,15640,15647,15703,15748,15808,15819],[1003,1722,1947,1964,2010,2534,2549,2721,2849,2877,2909,2911,2933,3016,3428,3490,3543,3695,3707,3742,3861,4846,5611,5612,5840,5951,5974,6032,6110,6581,6677,6756,6765,6814,6850,6996,6998,7017,7019,7047,7282,7295,7331,7380,7476,7487,7577,7709,7952,8064,8442,8444,8662,8785,8849,8861,8866,9069,9081,9095,9153,9396,9405,9456,9650,9817,9827,10358,10397,10426,10514,10584,10585,10606,10647,10773,10886,11024,11316,11363,11395,11416,11557,11651,11794,11800,11823,11866,12171,12464,12472,12501,12708,12757,12760,12850,13009,13093,13168,13250,13479,14104,14163,14213,14424,14437,14613,14672,14680,14742,15376,15753,15823,15938,16128,16135,16197],[759,979,1001,1649,1712,1726,1782,2537,2539,2719,2746,2750,2910,2921,3018,3252,3263,3300,3308,3482,3521,3626,3645,3866,3878,3883,3888,4581,4826,4832,4853,4945,4977,5027,5618,5759,5806,5855,6037,6512,6515,6546,6573,6953,7065,7320,7337,7386,7399,7528,7530,7716,7962,8026,8072,8819,8850,8912,9023,9386,9461,9599,9691,9779,9789,9810,9819,9824,10028,10190,10338,10386,10613,10795,10806,10881,11027,11317,11399,11409,11415,11540,11562,11668,11678,11719,11802,11805,11821,12103,12659,12753,12767,12920,13086,13262,13433,13476,13480,13481,13486,13523,13529,13673,13717,13784,13846,14442,14612,15172,15239,15243,15245,15307,15390,16004],[758,953,959,998,1510,1846,1937,1956,2297,2705,2879,3026,3029,3797,3804,3857,3863,3896,3944,4964,4978,5008,5037,5041,5080,5629,5996,5997,6321,6513,6527,6582,6588,6713,6767,6931,7318,7341,7407,7959,8005,8639,8677,8681,8882,8922,8925,8980,8997,9072,9117,9437,9440,9587,9596,9772,9774,10070,10078,10340,10346,10351,10774,10782,10784,11215,11321,11410,11546,11604,11799,11842,12117,12121,12164,12227,12236,12468,12476,12478,12592,12693,12719,12859,12890,12904,12923,12958,13259,13432,13472,13487,13653,13659,13760,13915,14285,14418,14492,14535,14632,14663,14851,14933,14978,15042,15297,15406,15450,15452,15555,15635,16006,16321],[1957,1962,2273,2494,2776,2779,2943,3284,3501,3508,3549,3620,3684,3800,4035,5011,5036,5059,5075,5334,5541,5605,5821,6374,6377,6385,6520,6523,6524,6708,6755,6764,6766,6954,6963,7324,7392,7512,7717,7733,7838,7966,8439,8621,8673,8851,8868,8895,9009,9424,9777,10002,10076,10119,10342,10363,10419,10428,10796,10844,10947,11036,11039,11300,11364,11379,11550,11568,11571,11583,11712,12475,12669,12766,12886,12891,12948,13022,13188,13459,13461,13477,13618,13670,13783,13852,13870,13878,13953,14110,14374,14391,14429,14494,14497,14634,14675,14682,14739,14790,14871,14876,14913,15045,15511,15822,16070],[995,1508,1745,1763,1905,2011,2014,2486,2730,2733,2745,2790,2917,3261,3498,3503,3694,3740,4047,5552,5936,6000,6039,6048,6324,6368,6396,6521,6576,6801,6876,6950,7004,7005,7106,7292,7444,7571,7735,7798,7880,7954,8613,8876,8889,8920,9012,9063,9168,9398,9444,9447,9597,9622,9701,9744,9784,9812,9832,9836,9839,9874,10130,10361,10388,10421,10797,10835,11093,11362,11370,11372,11380,11384,11421,11650,11801,11845,11904,11980,12052,12450,12503,12543,12691,12718,12758,12908,13101,13147,13253,13431,13437,13535,13601,13843,13844,13854,14167,14172,14282,14386,14432,14443,14444,14487,14617,14683,14687,14701,14725,14872,15389,15404,15873,16262,16332],[948,956,1009,1714,1717,1911,1974,2000,2018,2535,2541,2554,2716,2870,2878,2896,2922,2971,3014,3306,3318,3324,3449,3474,3494,3538,3692,3728,3730,3923,4039,4603,4841,4862,5029,5052,5732,5793,5802,5988,6012,6044,6062,6322,6550,6591,6623,6690,6758,6759,6802,6948,6993,7063,7461,7484,7535,7814,8016,9049,9115,9172,9434,9586,9616,9621,9632,9682,9709,9834,9844,9939,10017,10037,10066,10354,10364,10528,10553,10654,10660,10710,10900,11356,11382,11413,11603,11968,12058,12062,12163,12512,12521,12525,12754,13073,13203,13558,13866,13883,13925,14212,14278,14455,14510,14646,14865,14879,14884,15305,15747,15902,16145,16265],[1787,2272,2536,2729,2731,2898,2918,2920,2972,3254,3616,3636,3687,3693,3738,3743,3929,3956,3963,4532,4590,4837,4848,5021,5026,5039,5368,5554,5566,5586,5619,5628,5733,5794,6045,6517,6584,6783,6970,6974,7339,7463,7703,7741,7743,7767,7776,7831,7834,7873,7877,8131,8438,8887,8995,9042,9044,9052,9114,9118,9169,9425,9450,9453,9639,9663,9707,9822,9843,9852,10401,10425,10452,10581,10671,10704,10803,11314,11475,12043,12057,12762,12896,12906,12924,12964,13013,13017,13023,13077,13113,13117,13204,13208,13464,13467,13500,13502,13786,14625,14648,14931,14940,15238,15396,15444,15708,15744,15759,15951,16139,16266],[981,1772,1907,1936,2007,2009,2029,2292,2471,2555,2556,2710,2727,2728,3497,3691,3708,3864,4595,4797,4987,4990,5361,5610,5630,5631,5779,5804,5814,5818,5944,5995,6010,6323,6751,6773,6821,6941,6952,6959,7057,7272,7379,7576,7784,7888,8626,8631,8682,8688,8689,8872,8891,9065,9074,9443,9451,9575,9690,10026,10032,10073,10407,10649,10714,10815,10905,10908,11038,11137,11203,11365,11371,11474,11476,11718,11863,12054,12114,12706,12709,12761,12881,13014,13363,13430,13498,13716,13879,13918,14022,14558,14637,14638,14873,14874,14878,14891,15109,15129,15232,15556,15559,15633,15670,15697,15810],[755,928,1019,1266,1525,1724,1762,1966,2006,2676,2725,2747,2850,2930,2973,3322,3455,3496,3515,3518,3635,3688,3903,3984,3993,3995,3998,4053,4785,4857,4861,5045,5046,5371,5615,5778,5807,5808,5817,5982,6105,6354,6568,6570,6580,6614,6760,6762,6763,6810,6867,6962,7024,7070,7274,7382,7391,7508,7572,7726,7739,7797,7974,8679,8686,8694,8696,8854,8870,9079,9397,9403,9449,9590,9687,9829,9892,10024,10025,10400,10427,10603,10707,10951,11349,11411,11561,11622,12228,12897,12905,12947,13114,13619,13684,13788,13868,14161,14210,14222,14283,14546,14622,14649,14748,14813,14875,14998,15132,15300,15645,15684,15937,15957,16333],[1767,1904,1959,2017,2484,2707,2735,2778,2799,2923,2925,3298,3409,3489,3512,3546,3574,3736,3801,3972,4840,4859,5077,5540,5624,5625,5809,5816,5856,5969,6002,6109,6382,6562,6609,6689,6761,6777,6811,6848,6875,7281,7342,7344,7352,7537,7728,7782,8680,8687,8915,9448,9826,9837,9850,9884,10143,10416,10465,10467,10623,10659,10786,10853,11142,11315,11351,11485,11864,11918,11923,12165,12513,12522,12524,12663,12715,12730,12756,13097,13098,13108,13139,13142,13146,13429,13655,13683,13856,13857,13880,13935,14369,14463,14507,14641,14744,14801,14806,14815,15134,15449,15565,15698,16012,16192,16325],[766,1769,1788,2293,2294,2875,2912,2968,2974,3024,3030,3037,3297,3544,3577,3680,3735,3794,3875,3920,3988,4843,5012,5055,5374,5626,5754,5823,5871,5950,5984,6009,6082,6380,6757,6776,6869,6945,6947,7001,7353,7378,7406,7548,7727,7979,7981,8020,8067,9381,9442,9620,9644,9658,9835,9838,9878,10193,10360,10429,10456,10459,10614,10669,10716,10791,10793,10813,10842,10861,11073,11460,11605,11673,11905,11920,12060,12098,12449,12662,12713,12716,13140,13149,13190,13209,13270,13427,13526,13917,13919,14277,14416,14490,14645,14685,14708,14996,15408,15508,15707,15888,16066],[1015,1526,1983,2546,3311,3317,3476,3511,3633,3737,3874,3932,4605,5033,5044,5093,5555,5603,5617,5846,5945,5986,6564,7107,7130,7284,7354,7383,7509,7527,7531,7645,7771,7805,8417,9020,9041,9068,9116,9176,9180,9183,9452,9592,9654,9662,9887,9942,10041,10043,10411,10547,10594,10619,10967,11156,11167,11391,11422,11482,11487,11610,11612,11797,11807,12123,12523,12705,12707,13091,13138,13160,13164,13214,13521,13694,13695,13862,13871,14105,14171,14436,14446,14653,14936,14942,15040,15380,15395,15412,15415,15417,15421,15579,15711,16064,16193],[944,1012,1521,2417,2517,2547,2783,2915,2924,2938,3251,3559,3741,3893,4601,4774,4786,4851,5024,5369,5375,5938,6001,6014,6572,6768,6824,6972,7127,7128,7131,7132,7541,7639,7643,7761,7779,7827,7836,8028,8030,8697,8699,8702,9045,9050,9059,9070,9181,9446,9455,9464,9584,9637,9643,9831,9877,10080,10182,10362,10408,10475,10546,10582,10792,10810,10975,11091,11099,11154,11344,11389,11417,11428,11480,11483,11606,11608,11615,11624,11625,11742,11806,11811,12035,12230,12517,12536,12542,12769,12910,13103,13202,13211,13539,13666,13887,13926,14514,14552,14929,14937,15123,15168,15298,15572,15644,15760,15965,16334],[996,1004,2008,2485,2543,2673,2916,2936,2942,3320,3500,3542,3744,3792,3802,3897,3931,3945,3948,3960,4055,4847,4858,5038,5842,5940,6371,6391,6544,6589,6752,6815,6975,7071,7329,7387,7544,7640,7714,7738,7775,7964,8130,8676,8701,8703,8881,8917,8931,8941,8943,9178,9454,9640,9833,9841,10040,10045,10129,10131,10138,10192,10390,10611,10621,10901,11165,11206,11386,11387,11424,11432,11444,11452,11481,11536,11566,11613,11731,11928,11929,12051,12849,12918,12927,12945,12950,13096,13141,13161,13180,13206,13485,13677,13861,14101,14445,14652,14655,14692,14980,15184,15383,15455,15510,15578,15654,15811,16022,16134],[1016,1764,1786,1940,2002,2487,2532,2542,2559,2675,2782,2937,2964,2979,3036,3326,3539,3561,3565,3689,3739,3762,3859,3901,3946,4058,5101,5606,5609,5613,5616,5853,5876,6359,6379,6394,6566,6585,6753,6779,7009,7526,7543,7545,7546,7550,7551,7591,7720,7769,7953,8024,8094,8148,8684,8874,9060,9641,9681,9767,9886,10033,10046,10137,10410,10412,10592,10610,10805,10807,10832,10909,11026,11162,11166,11455,11477,11627,11669,11677,11730,11741,11868,11932,12055,12063,12527,13010,13148,13162,13624,13679,13723,13791,14034,14035,14441,14449,14503,15398,15419,15709,16002,16259],[946,983,1766,1958,2013,2787,2941,3282,3443,3545,3547,3550,3701,3793,3807,3880,3881,4063,4852,5627,5881,6397,6516,6575,6754,6780,6805,6955,6961,6969,7313,7355,7523,7525,7538,7547,7549,7638,7719,7725,7736,7740,7958,8080,8625,8879,8923,8930,9067,9778,9809,9876,9900,10139,10199,10424,10483,10715,10718,10960,11155,11223,11435,11484,11555,11560,11792,11970,12514,12755,12855,12968,12970,13212,13273,13275,13279,13727,13729,13876,13931,13932,14111,14228,14292,14448,14457,14635,14654,14674,14746,14751,14902,15006,15197,15422,15441,15505,15570,15641,15701,15828,15900,16148,16157,16322],[992,1014,1017,1018,1716,1909,1970,1973,1981,2743,2928,2998,3039,3323,3493,3509,3562,3566,3671,3729,3798,3884,3885,3887,3925,3994,3996,4051,4821,5054,5102,5362,5797,5862,6370,6383,6393,6590,6616,6738,6817,6828,7120,7350,7351,7393,7536,7891,8029,8561,8926,9107,9110,9125,9649,9828,9881,9902,9947,9949,10004,10021,10128,10140,10142,10414,10451,10608,10651,10655,10712,10717,11369,11383,11433,11434,11436,11556,11567,11575,11670,11675,11732,11921,12519,12528,12725,12887,12915,13116,13144,13215,13557,13668,13859,14166,14420,14440,14678,14736,14740,14741,14894,14904,15005,15061,15187,15249,15394,15580,15893,15967,16018],[1020,1776,1979,2001,2012,2939,2940,2961,2966,3301,3502,3632,3882,3991,4056,4057,4836,5053,5081,5622,5869,6046,6375,6376,6498,6630,6878,7385,7573,7712,7713,7732,7770,7773,7903,7972,8692,8695,8877,9087,9392,9445,9469,9471,9694,9704,10086,10418,10430,10551,10616,10713,10719,10811,10812,10814,10836,10910,10970,10972,11052,11053,11063,11368,11427,11446,11609,11672,11676,11862,11865,11991,11996,12126,12532,13473,13497,13501,13534,13628,13687,13778,14037,14099,14225,14433,14458,14545,14626,14810,14866,14935,15400,15402,15451,15471,15479,15516,15569,15634,15659,15661,15704,15768,15962,16275],[1770,1968,1980,1982,2027,2558,2962,3034,3038,3556,3558,3564,3682,3686,3697,3711,3758,4578,4788,5031,5051,5074,5095,5608,5614,5795,5799,5822,5841,5864,6008,6038,6621,6705,6775,7018,7060,7123,7357,7358,7376,7540,7641,7723,7731,7765,7825,7897,8916,9077,9082,9652,9660,9684,9830,9895,10018,10044,10067,10352,10466,10601,10618,10620,10646,10809,10848,10969,11030,11157,11217,11375,11414,11602,11734,11737,11738,11798,12180,12244,12534,12728,12763,12852,13264,13742,13904,13923,13970,14115,14460,14486,14495,14506,14547,14647,14651,14745,14747,14941,15120,15121,15126,15128,15131,15409,15416,15456,15512,15519,15581,15582,15713,16213],[1022,1972,1978,2024,2726,3583,3685,3706,3709,3889,3921,4838,5372,5820,5854,5985,6103,6587,6819,6944,7036,7345,7388,7390,7405,7472,7580,7715,7734,7763,8017,8082,8095,8155,8615,9080,9170,9441,9465,9655,9656,9657,9890,9896,9906,9938,10042,10047,10642,10667,10804,10859,10971,10974,11045,11089,11579,11639,11818,11922,11993,11998,12050,12721,12729,12734,12765,12962,12982,13102,13271,13675,13737,13738,13858,13881,14045,14046,14103,14112,14227,14233,14302,14387,14456,14493,14504,14749,14750,14808,14994,15000,15064,15199,15420,15423,15467,15515,15643,15726,16146,16156,16158,16208],[1005,1969,1971,2004,2025,2028,2740,3314,3321,3516,3704,3768,3773,3950,5589,5600,6399,6627,6816,6973,6997,6999,7011,7129,7271,7330,7401,7568,7583,7594,7901,7902,8675,8690,8873,8892,9085,9174,9462,9633,9846,9945,10039,10110,10135,10404,10455,10461,10577,10662,10678,10902,10962,11054,11103,11224,11228,11374,11418,11478,11580,11614,11620,11985,11995,12061,12115,12712,12722,12778,12921,12922,12987,13031,13088,13112,13119,13210,13688,13782,14170,14303,14438,14451,14454,14461,14519,14691,14864,14885,15001,15316,15442,15723,15766,15954,15961,15963],[2550,2557,2723,2769,2771,2796,3007,3262,3327,3514,3563,3702,3734,3763,3899,3902,3985,3999,4059,5050,5365,5994,6111,6639,6826,6871,6929,6958,7067,7377,7474,7900,7970,8087,9083,9383,9459,9661,9851,9885,9940,10194,10431,10448,10478,10489,10622,10785,10788,10847,10873,11100,11385,11563,11616,11824,11867,11935,12183,12186,12255,12520,12733,12912,13018,13137,13176,13276,13482,13690,13728,13732,13781,13795,13805,13886,13968,14125,14168,14389,14627,14631,14697,15004,15125,15135,15186,15413,15463,15506,15507,15705,15774,15905,15960,16086,16090],[1002,1778,3319,3492,3510,3943,5092,5602,6013,6043,6052,6102,6107,6308,6608,6638,6829,6864,6879,6965,6968,7646,7828,7829,7890,7899,7963,8685,8885,9113,9138,9468,9659,10201,10403,10458,10474,10476,10490,10867,10875,11025,11066,11121,11426,11577,11667,11819,11984,12125,12529,12717,12720,12984,12989,13019,13039,13095,13205,13266,13272,13691,13740,13792,13972,14108,14288,14293,14554,14630,14677,14709,14809,15248,15326,15410,15411,15418,15457,15513,15649,15650,15657,15702,15765,15891,15918,15958,16144,16218,16341],[737,1746,1784,1785,1790,1976,2037,2529,2736,2768,2792,2794,2800,2927,2929,2931,2985,2986,2989,2997,3491,3749,3750,3805,3895,3900,3954,3961,4050,5048,5098,5623,5800,5870,6560,7346,7774,7785,7835,7976,8084,9128,9131,9132,9179,9460,9466,9879,9948,10022,10036,10136,10200,10405,10808,10834,10857,11098,11221,11381,11679,11740,11812,11813,12515,12537,12723,12732,12735,12752,12774,12926,13016,13207,13412,13494,13503,13541,13550,13739,13779,13910,13920,14044,14102,14113,14452,14459,14555,14556,14905,14934,15003,15130,15196,15321,15440,15710,15761,15829,16025,16154,16346],[993,1779,2780,2871,2932,2981,3031,3035,3536,3557,3696,3698,3710,3877,3879,3986,4849,4863,5792,6077,6100,6398,6629,6803,6872,6966,6971,7037,7061,7332,7589,7593,7968,7973,7985,8089,8090,8092,8150,8865,8932,8937,9635,9918,10091,10477,10670,10679,10862,10863,10961,11360,11472,11559,11619,11736,11793,11835,11838,11933,12190,12731,12768,13153,13159,13182,13213,13492,13566,13689,13693,13714,13731,13807,13930,13977,13979,13981,14236,14450,14483,14500,14643,14688,14802,14893,14897,14910,14938,14939,14943,14997,15133,15324,15468,15469,15470,15583,15769,15836,16031],[994,1008,1751,2548,2551,2552,2773,3032,3444,3570,3582,3705,3806,3815,3821,5047,5607,5857,6033,6097,6106,6611,6624,6632,6635,6644,6654,6967,7122,7334,7404,7598,7787,7983,8022,8037,8678,8700,9013,9120,9135,9173,9458,9638,10092,10093,10453,10482,10492,10657,10665,10705,10709,10711,10833,11062,11164,11564,11834,12178,12189,12245,12900,12901,12916,12967,12990,13104,13277,13545,13546,13562,13669,13724,13780,13873,13907,13971,13982,14100,14126,14143,14165,14462,14650,15063,15127,15195,15466,15518,15901,15964,16024,16084],[2042,2528,2781,2791,2987,2992,3248,3541,3699,3876,3926,3936,3992,3997,5858,5865,5875,6066,6108,6866,6994,7595,7647,7788,7896,7980,8883,8946,8955,9062,9106,9130,9134,9713,9854,10085,10090,10472,10599,10609,10617,10706,10798,10866,10903,11033,11064,11160,11227,11388,11412,11558,11674,11692,11743,11870,12048,12049,12059,12539,12541,12704,12913,12925,12963,12977,12978,13747,13976,14132,14229,14294,14544,14553,14811,14882,15007,15057,15193,15255,15262,15319,15392,15461,15487,15706,15771,16282],[752,1010,1013,1791,2045,2545,3555,3560,3803,4000,4835,4850,4856,5028,5094,5099,5103,5110,5860,5866,5867,6006,6011,6015,6053,6070,6072,6782,6873,7056,7590,7592,7599,7786,7790,7892,7898,7989,7996,8019,8158,8434,8869,9058,9698,9897,9899,9919,10019,10034,10089,10132,10204,10684,10686,10851,10898,11042,11059,11065,11092,11097,11161,11361,11390,11473,11570,11832,11856,11869,11988,12240,12727,13549,13741,13743,13789,13790,13980,14124,14127,14224,14232,14550,14557,14673,14887,15065,15192,15485,15514,15575,15827,15831,15953,16152,16155,16159,16277,16278,16338],[1021,1789,1954,1977,2793,2798,2988,3027,3325,3505,3571,3759,4003,4599,4855,4860,4980,5049,5096,5097,5100,5748,5813,5886,5887,6034,6051,6061,6633,6772,6778,6825,6834,7069,7603,7642,7837,8044,8157,8936,9696,9702,9889,9901,9903,10081,10207,10473,10643,10685,10800,10906,11090,11376,11486,11628,11816,11860,12056,12179,12184,12781,12899,13158,13538,13565,13736,13785,13884,14038,14480,14502,14508,14526,14719,14804,14805,14880,15260,15313,15517,15568,15775,15899,15966,16348],[2039,2720,2741,2978,2982,2984,3578,3795,3892,4048,4061,4062,5073,6057,6384,6565,6586,6615,6640,6830,6835,7076,7612,8144,8888,8929,8942,9086,9122,9129,9463,9898,9941,10202,10203,10468,10479,10487,10615,10672,10849,10855,10899,10904,10964,11028,11046,11102,11453,11629,11681,12116,12530,12770,12772,12969,13166,13201,13522,13547,13561,13563,13882,13905,13922,14007,14141,14548,14640,14644,14699,14700,14702,15002,15056,15070,15185,15190,15194,15254,15447,15458,15460,15638,15648,15658,15700,16021,16082,16150,16209],[1023,1780,1952,2553,2737,2914,2990,3004,3025,3033,3506,3513,3891,4839,5815,5878,6059,6079,6372,6583,6628,6636,6827,6877,6946,7012,7134,7542,7632,7636,7729,7833,7893,7977,8698,8894,8940,8949,9141,9148,9685,9703,9706,9725,9907,9912,9944,10035,10087,10134,10494,10856,11051,11068,11095,11096,11439,11607,11693,11733,11825,11930,11997,12068,12779,12917,13155,13540,13667,13713,13751,13757,13927,14042,14047,14114,14123,14129,14162,14173,14174,14234,14238,14239,14498,14551,14642,14737,14889,14890,15122,15465,15504,15525,15577,15651,15653,15660,15663,15767,15772,16027,16212,16220,16284],[1011,2021,2977,2991,3005,3312,3774,3898,4854,5040,5119,5810,6056,6388,6634,6637,7032,7124,7356,7397,7413,7570,7586,7600,7601,7614,7803,7832,7843,7889,7998,8031,8042,8691,8823,8871,9123,9126,9873,10084,10094,10595,10658,10708,11049,11163,11229,11631,11815,11822,12076,12253,12919,13008,13011,13115,13157,13496,13548,13623,13872,13973,14032,14164,14175,14183,14300,14559,14712,14892,14932,14992,15069,15472,15571,15656,15675,15764,15835,15952,16026,16337,16342],[1761,1777,2019,2805,2980,3040,3703,3752,3754,3755,3757,5885,6005,6049,6060,6626,6822,6874,6960,7064,7402,7587,7956,8025,8027,8156,8159,8890,8893,9177,9467,9699,9710,9891,10038,10111,10196,10677,10681,11055,11377,11430,11491,11634,11642,11644,11686,11820,11829,11924,11992,12122,12124,12248,12535,12783,13034,13165,13167,13265,13499,13536,13544,13734,13754,13942,14033,14117,14120,14290,14297,14511,14525,14743,14812,14888,14928,15258,15259,15662,16016,16029],[2040,2043,2544,2934,2935,3315,3746,3748,3751,3942,3987,5109,5621,6104,6390,6577,6651,6652,6653,6901,7081,7412,7609,7653,7807,7826,7839,7848,7978,7982,8093,8147,8149,8154,8913,8933,8948,9121,9133,9470,9700,9705,9711,9855,9950,9956,10069,10103,10195,10420,10470,10860,10916,10973,11070,11071,11569,11647,11664,11836,11934,12053,12078,12112,12249,12254,12465,12711,12724,12777,12782,12788,12966,12979,13174,13551,13787,13874,13885,14041,14043,14139,14434,14565,15636,15666,15898,16089,16094,16095,16219],[1975,2023,2041,2808,3552,5078,5115,5868,5991,6579,6800,6846,6870,7022,7025,7133,7395,7403,7588,7984,9111,9127,9145,9182,9185,9186,9708,9726,9845,10068,10088,10687,10802,10850,11226,11429,11442,11449,11574,11576,11618,11626,11641,11861,11931,12188,12533,12776,12790,12798,12961,12973,13012,13021,13028,13090,13109,13156,13223,13475,13542,13934,14116,14121,14169,14453,14520,14574,14713,14906,15198,15318,15325,15837,15895,15916,16221,16286],[1781,2026,2035,2786,2802,2811,2812,3822,3939,3967,5089,5114,5863,6003,6050,6058,6063,6067,6625,6648,6649,6831,6843,6845,7059,7079,7596,7597,7742,7844,7992,7995,8047,8085,8086,8153,8956,9151,9963,10095,10141,10668,10870,11061,11107,11112,11218,11425,11448,11451,11505,11630,11817,11831,12067,12119,12191,12246,12251,12771,12799,13020,13033,13175,13267,13537,13680,13718,13735,13750,13759,13945,14118,14130,14133,14140,14696,14755,14814,14951,15158,15263,15696,15699,16088,16153],[3054,3753,3799,3937,4010,4060,4592,5042,5043,5090,5105,5111,5116,5847,6007,6882,7034,7347,7408,7585,7737,7853,8043,8045,8152,8886,8935,8954,8957,9075,9720,9888,9911,9959,10205,10661,10801,10877,10878,11043,11050,11158,11159,11445,11646,11833,12120,12785,12796,12975,13524,13797,13948,13949,14122,14180,14505,14568,14698,14760,15059,15142,15150,15165,15677,15824,15833,15834,15838,16092,16343],[2810,2814,3313,3580,3581,3771,3940,3947,3951,3989,5108,6054,6069,6074,6078,6099,6101,6645,6883,6964,7035,7072,7084,7085,7422,7606,7659,7660,8018,8938,8953,9136,9199,9203,9213,9457,9712,9724,10144,10214,10423,10485,10858,10966,11060,11094,11437,11454,11638,11735,11999,12780,12986,13179,13564,13686,13802,13929,13933,13940,14226,14512,14561,14690,14803,14895,14898,15068,15071,15139,15189,15206,15253,15256,15464,15483,15913,15919,15956,16083,16149,16216,16222,16279,16283,16349],[2807,2983,3047,3049,3055,3517,3756,3772,3809,3823,3962,4005,4052,5113,5873,6075,7015,7082,7121,7348,7394,7418,7420,7584,7778,7789,7796,7971,7993,7997,8023,8146,8693,9073,9078,9175,9204,9653,9717,9914,9960,10108,10218,10495,11118,11175,11640,11666,11671,11698,11814,11925,12971,13200,13804,13928,13983,14136,14509,14738,14886,14908,14964,14993,15009,15191,15208,15474,15476,15509,15533,15678,15770,15773,15832,15890,16017,16091,16210,16223,16276,16280],[2809,2976,2996,3949,3955,4012,5872,6076,6643,6650,6836,6888,7020,7027,7058,7093,7520,7610,7613,7637,7671,7762,8145,8928,8939,9210,9915,9961,9964,10106,10133,10216,10728,10879,10914,10921,10965,11216,11230,11438,11632,11729,12077,12794,12949,12972,13218,13225,13278,13559,13939,14040,14160,14298,14524,14909,14911,14948,14952,15250,15475,15535,15668,15839,15955,16285,16287],[2795,2797,2813,2995,3046,3579,3817,3820,6112,6387,6647,6655,6770,6838,6886,7014,7021,7086,7611,7615,7654,7678,7783,7830,8049,9142,9727,9910,9965,10491,10666,10674,10720,10725,11044,11069,11106,11110,11220,11581,11582,11875,11893,12242,12792,12793,12974,13015,13027,13172,13217,13274,13543,13752,13978,14194,14230,14299,14521,14522,14689,14903,15062,15188,15314,15320,15667,15762,15909,15959,16030,16215],[2044,3765,3766,3938,3952,4016,5104,5117,5883,6578,6631,6820,6823,6840,6865,6894,7033,7039,7100,7417,7634,7648,7652,7658,7791,7894,8036,8945,9140,9149,9189,9894,9937,9952,10098,10148,10206,10664,10727,10735,10874,10924,11105,11152,11378,11515,11517,11728,11986,12072,12113,12177,12182,12787,12797,12960,12983,12985,12988,13749,13777,13937,13946,13951,13984,13985,14231,14237,14296,14301,14527,14704,15016,15137,15763,15780,15906,16019,16085,16217,16350],[2016,2034,2036,2038,2047,2815,3002,3553,3569,3575,3745,3769,3813,3965,4001,5880,6118,6832,6842,6891,7038,7125,7126,7400,7730,7777,7858,7909,7986,8081,8091,9146,9171,9722,9943,10096,10107,10149,10198,11040,11119,11179,11225,11493,11636,11680,11707,11827,11837,11857,11872,11990,12127,12243,12773,12775,12784,12991,13035,13936,13950,13987,13988,13993,14186,14235,14291,14496,14564,14758,14772,14930,14963,14995,15022,15136,15462,15480,15576,15655,15665,15673,15826],[2803,3028,3966,4049,6122,6128,6136,6885,7030,7135,7414,7416,7423,7656,7781,7913,8039,8950,8958,9150,9714,9719,9908,9916,10082,10469,10680,10722,10731,10787,10852,10912,10920,10922,10925,11497,11504,11874,11927,12250,13169,13224,13733,13746,13811,13938,13947,13990,13994,14142,14190,14703,14714,14753,14807,14907,14949,14955,15058,15145,15257,15261,15486,15679,15722,15894,16087,16274,16336],[2031,2785,2804,3000,3001,3767,3957,5088,5884,6055,6116,6124,6129,6139,6646,6771,6818,6892,7010,7143,7539,7804,7975,7988,7990,8088,9147,9905,10083,10104,10109,10471,10488,10730,10865,10871,10896,10913,10923,11067,11129,11153,11181,11231,11443,11450,11695,11739,11808,11873,11989,12065,12187,12786,12965,13178,13183,13219,13268,13491,13567,13682,13755,13998,14138,14563,14572,14764,15066,15414,15652,15716,15973,16093,16147,16211,16281,16347],[2022,3296,3573,3747,3796,3828,3890,4017,4029,4030,5118,6119,6833,6839,6884,6890,6903,7073,7075,7090,7409,7410,7651,7841,7854,7908,8083,8959,9194,9195,9723,9955,10097,10145,10729,10734,10968,11111,11178,11222,11479,11501,11621,11690,11839,12131,12185,12789,13029,13111,13490,13493,13554,13758,13941,13944,13975,13992,13997,13999,14014,14039,14135,14308,14501,14577,14705,14707,14718,14821,14944,15322,15531,15585,15671,15674,15676,15715,15830,16151,16351],[2020,3567,3838,5620,5859,6073,6114,6117,6120,6905,6907,7026,7421,7793,7846,7849,7855,7895,7994,7999,9124,9143,9198,9697,10153,10656,10683,10723,10978,11500,11502,11573,11645,11689,11691,11881,11926,11994,12181,14050,14137,14179,14295,14315,14515,14762,14825,14956,14999,15152,15163,15252,15312,15327,15473,15526,15596,15734,15743,15786,16020,16028,16032,16344],[2030,3812,3816,3826,3964,4011,4054,5107,5861,6127,6889,7411,7419,7604,7780,7859,8944,8951,8952,9192,9212,9715,9716,9842,10164,10197,10854,10915,10977,11113,11114,11116,11117,11490,11503,11623,11637,11643,11748,11882,11885,11942,12064,12241,12252,12795,13220,13228,13730,14119,14178,14289,14513,14569,14578,14710,14717,14824,14881,14900,14945,15015,15067,15211,15529,15924,16023,16273,16339],[2738,3048,3053,3572,3576,3775,3808,3839,4002,4014,4019,4069,4072,5091,6068,6126,6895,7008,7662,7845,7866,9211,9847,9962,9969,10100,10102,10612,10748,10872,10926,11115,11171,11514,11617,11688,11878,11949,11951,12073,12081,12138,13038,13269,13285,13745,13748,13800,13875,13924,14009,14013,14134,14184,14185,14499,14570,14571,14695,14800,14883,15060,15209,15323,15527,15573,15574,15825,15917,15972],[3003,3059,3519,3830,5882,6121,7098,7415,7649,7801,7802,7871,8046,8101,8151,8884,9215,9721,9966,9972,10105,10150,10155,10156,10732,10876,10990,11635,11702,11753,11876,11944,12143,12176,13106,13231,13294,13556,14012,14036,14187,14586,14706,14754,14765,14817,14831,14958,15020,15149,15317,15478,15584,15724,15727,15731,15840,16081,16160,16272,16345],[2046,3070,3953,4031,6113,6137,6141,6847,6910,7136,7398,7602,7666,8041,8107,8934,9139,9917,10159,10464,10481,10739,10864,10917,10992,11489,11879,11884,11887,11898,11987,12074,12091,12118,12135,13181,13227,13238,13552,13796,13819,13943,13996,14205,14523,14716,14778,14819,14828,14896,14974,15018,15144,15251,15595,15719,15980,16080,16170,16172],[5112,6064,6140,6642,6904,7608,7675,7851,7852,8102,8171,9144,9718,9913,9974,10152,10158,10493,10682,10738,10747,10963,11104,11183,11492,11683,11756,11883,11901,11902,11936,11940,12079,12088,12089,12095,12247,13036,13152,13171,13813,14191,14244,14946,15203,15520,15539,15735,15742,15912,15920,16227],[2788,3044,3057,3760,3761,3770,3827,4071,5811,7031,7137,7605,7657,7794,7795,7864,8032,8096,8162,8167,9191,9209,9651,9967,9968,10869,10927,10987,10991,10999,11057,11122,11219,11447,11512,11704,11705,11880,12133,12136,13041,13177,13229,13281,14189,14240,14251,14255,14518,14901,14953,15147,15315,15484,15523,15534,15550,15672,15777,15778,15914,15932,15981,16161,16340],[2033,2806,3507,6125,6881,7028,7029,7087,7094,7607,7870,7904,7991,8175,9954,9983,10168,10484,10486,10673,10919,11176,11488,11519,11830,11891,12080,12140,13043,13050,13809,13986,13995,14051,14131,14242,14560,14694,14715,14767,14775,14954,15074,15482,15521,15530,15545,15547,15549,15593,15725,15785,15846,15908,15915,16214],[2801,4013,6065,6071,6138,6844,6893,6906,7083,7673,7919,8034,10157,10217,10740,10745,10985,11130,11132,11189,11494,11499,11696,11749,11754,12007,12084,12087,12129,12196,13025,13049,13283,13560,13793,14005,14048,14310,14516,14584,14588,14591,14761,14779,14957,14959,15151,15157,15264,15273,15276,15334,15481,15522,15536,15537,15544,15664,15714,15787,15911,15928,15975,16042,16353],[2993,3959,4008,4023,4027,4068,6115,6142,6841,7103,7145,7149,7850,7914,8038,8947,9188,9197,9205,10162,10171,10935,10939,10988,11047,11133,11172,11196,11232,11441,11496,11498,11828,11886,11897,12071,12197,12791,13046,13232,13234,13240,14053,14177,14181,14198,14200,14517,14573,14752,15146,15148,15268,15274,15543,15590,15607,15741,15799,15923,16166,16225],[2032,3067,3833,6135,6887,6902,7146,7147,7800,7806,7842,7847,7856,7868,8035,8052,8169,9214,9909,10146,10167,10209,10211,10422,10744,10929,10976,11241,11694,11747,12012,12083,12204,12976,13226,13241,13553,13756,14203,14204,14575,14576,14766,14774,14782,14783,14816,15011,15140,15210,15214,15528,15532,15783,15791,15969,16035,16044,16165],[2999,3042,3063,3834,3837,4087,5874,6132,7080,7661,7663,8040,8048,9137,9193,9904,10163,10223,10936,10937,10984,11180,11238,11240,11246,11510,11755,11759,11810,11937,11943,12001,12142,12260,12261,13045,13230,13237,13288,14057,14058,14587,14771,14781,15077,15082,15167,15201,15207,15591,15712,15717,15720,15739,15849,15852,15854,15855,15904,15935,15991,15993,15995,15997,16099,16360],[3006,3069,3071,3819,4076,5879,6909,7101,7655,7861,7867,7906,7917,7987,9206,9976,9978,9979,10663,10726,10868,10918,10930,11123,11244,11516,11697,11751,12002,12075,12137,12139,12269,12270,13032,13173,13303,13801,13820,13822,13921,14001,14004,14245,14247,14317,14319,14590,14711,14757,14763,15138,15738,15851,16041,16043,16294,16299],[3041,3043,3050,3764,3835,4015,6143,6900,7669,7799,7912,8050,8097,8174,9187,9190,9971,10151,10154,10172,10174,10175,10480,10932,10942,10943,11126,11174,11247,11701,11889,11946,11950,11957,12981,13170,14011,14061,14062,14128,14759,14830,14969,15014,15023,15159,15223,15265,15272,15329,15542,15546,15733,16171,16296,16302],[3554,4024,6123,7097,7102,7138,7863,7865,7916,7927,8098,9207,9893,10208,10721,10733,10931,10940,10983,11058,11684,11744,11826,11877,11890,12094,12134,13044,13054,13221,13222,13293,13818,14193,14197,14256,14316,14581,14585,14777,14947,15017,15019,15155,15278,15340,15343,15459,15603,15737,15801,15802,15842,15925,16100,16169,16179,16181,16289],[3062,3814,4021,4079,6641,6908,7089,7142,7792,7860,7918,8166,8173,9958,10212,10743,10749,10750,10751,10938,10941,10981,11108,11177,11236,11495,11682,11709,11962,12194,12206,13048,13242,13280,13753,13798,13815,13989,14202,14756,14899,15076,15332,15524,15977,15983,16039,16097,16106,16110,16164,16168,16231,16237,16291],[3061,3066,3818,3958,4025,4065,4067,4077,6899,7074,7144,7150,8060,9977,10169,10928,10933,10986,11173,11685,11708,11894,12015,12066,12132,12199,13030,13055,13291,13814,14201,14206,14241,14254,14306,14566,14780,15080,15083,15338,15721,15736,15740,16355],[2789,3051,3052,3824,4009,5106,7152,7676,7969,8033,8056,8059,8061,8110,8160,8170,9196,9957,10173,11757,12013,12092,13037,13047,13233,13292,14055,14188,14246,14304,14314,14589,14769,15008,15086,15225,15269,15669,15848,15907,15922,15926,15988,16111,16174,16303,16352],[3810,4028,6837,6897,7091,7396,7667,7677,7840,7869,8054,8057,8058,10147,10170,10222,10675,10996,11109,11710,11711,11895,11896,11965,13026,13052,13289,13816,14008,14056,14060,14182,14196,14249,14250,14261,14312,14562,14829,15075,15160,15275,15540,15597,15598,15847,15931,15933,15934,16034,16190,16230],[3058,7077,7099,7148,7151,7672,7679,7920,8051,8104,9201,10219,10220,10221,11134,11135,11242,11633,11687,11746,11752,11758,11903,12148,12159,12200,12263,13024,13216,13244,13286,13290,13295,13555,13799,13803,14313,14827,14962,15166,15277,15336,15781,15794,15910,15929,15971,16047],[2994,3064,5877,7141,8105,10161,10737,10741,11128,11431,11947,12010,12153,12205,12259,12264,12265,13243,13247,13282,14003,14252,14253,14264,14271,14820,14960,14967,14972,15141,15164,15213,15279,15333,15792,15976,15978,16298,16300,16362],[3831,4004,4026,4075,4093,7092,7096,7930,8108,9208,10099,10160,10746,11124,11168,11182,11237,11945,11948,12003,12069,12086,13040,13235,14064,14176,14567,14580,15026,15161,15599,15728,15732,16104,16173,16232,16236,16301,16361],[3045,4007,4078,6880,7650,7664,7668,7910,7923,7931,8062,8109,8111,9184,9973,10210,10676,11056,11120,11243,11507,12090,12201,12266,13284,13823,14010,14054,14072,14961,14970,15031,15039,15085,15143,15202,15212,15227,16102,16107,16183],[3068,4070,4073,4074,7665,7674,7862,8063,8106,8124,9202,9953,10225,10724,10982,11186,11245,11700,12014,12070,12082,12203,13817,13821,14015,14965,15013,15027,15038,15081,15205,15215,15477,15538,15551,15587,15592,15594,15806,15921,16238,16357,16365,16366,16367],[3060,3065,7088,7915,8055,8099,8116,8165,10235,11004,11194,11233,11511,11745,11765,12009,12156,12980,13299,13808,13991,14002,14063,14199,14265,14268,14579,14776,14973,14975,15222,15270,15341,15342,15589,15608,15609,15994,16108,16162,16292,16293],[3836,4020,4083,6134,8115,10213,10736,10979,11509,11706,11775,11892,11941,11954,11959,12151,12158,13051,13239,13245,13246,13310,13806,14059,14770,14773,15010,15162,15339,15974,15979,15982,16103,16109,16175,16363],[3811,3832,4006,4066,6131,7078,8100,9981,9982,11169,11185,11440,11900,11963,11967,12005,12157,13053,13296,13306,13810,14000,14073,14207,14259,14823,14950,14966,14971,15024,15032,15078,15156,15330,15718,15999,16187,16297,16354],[4064,4094,7139,9970,10166,10215,10989,11508,11767,11774,11899,12141,12149,12262,13308,13812,14049,14068,14192,14195,14248,14307,14583,14768,14838,14968,15548,15612,15729,15730,15784,15788,15790,16364],[3829,4088,6130,6133,6911,7911,7934,8103,10165,10228,10934,10997,11006,11125,11170,11198,11506,11518,12093,12154,13287,14052,14075,14305,14582,15204,15224,15588,15779,15843,15862,15970,16040,16163,16167],[4085,4089,6898,7140,7156,7160,8114,8118,8125,10238,11005,11513,11772,11773,11958,11960,12004,12198,12212,12271,13236,13744,14077,14266,14826,14835,14837,15267,15586,15600,15610,15615,15789,15850,15859,15930,16176,16184],[3056,7157,7905,7935,8053,11191,11197,11964,12202,12207,12221,13794,14006,14070,14079,14267,14836,15021,15033,15230,15231,15601,15613,15614,15776,15865,16036,16046,16185],[3568,4022,4082,7857,8112,8121,8127,8178,10227,11003,11131,11193,11249,11699,11703,11760,11771,11966,12152,12155,13307,14321,14834,14844,15012,15084,15220,15807,15866,15869,15871,15968,15985,16033,16045,16177,16228],[4091,7158,7670,7926,8184,9980,10237,10742,11127,11192,11199,11235,11939,12208,14260,14333,15034,15079,15153,15154,15793,15800,16038,16105,16226,16235],[4092,4095,7153,7162,7165,7921,7922,11750,11768,11769,11956,12145,12216,13298,13309,14065,14067,14822,14847,15037,15200,15804,15984,15998,16234],[8179,10224,10229,10239,11239,11761,11762,11888,12147,12193,12220,12222,12267,12268,14069,14071,14243,14309,14318,15093,15217,15228,15795,15927,16101,16189],[4018,7161,7163,8126,8161,8163,8168,10233,11252,11952,14078,14257,14269,14320,14832,14843,15030,15072,15087,15101,15219,15229,15271,15853,16050,16186,16188,16239],[6896,7095,7154,7166,7907,8123,10980,11000,11001,11184,11187,11234,11259,11770,11938,12000,12006,12008,12011,12146,12150,12257,14074,14076,14842,15036,15103,15221,15337,15605,15611,15841,15845,15987,16055,16305],[4086,7928,8119,8172,8191,10226,10230,10232,10234,11764,12192,12210,13297,14311,14332,14840,14846,15073,15089,15331,15782,15992,16224,16233,16241,16288],[4090,7164,7167,7933,8164,9975,10236,11248,12020,12130,14331,14818,15035,15099,15100,15266,15290,15870,15986,15996,16098,16242,16295,16356],[4084,7929,7932,8120,8122,10231,11766,11955,12128,12279,13042,15281,15282,15335,15541,15604,15797,16056,16229,16240,16358],[7155,11002,12017,12030,12195,12256,13301,14262,14330,14334,14833,14841,15226,15292,15861,16048,16051,16112],[3825,4081,8187,10998,11260,12027,12214,12258,13305,14329,14845,15091,15285,15294,15328,16116,16126,16191,16248,16253,16254,16290,16314],[4080,7924,7925,8177,8189,9200,11195,11257,11763,11961,12026,12029,12085,14270,15097,15098,15291,15295,15844,16052,16060,16096,16247,16316,16359],[8183,11190,11953,12016,12018,12031,12284,14263,14323,15028,15094,15284,15286,15289,15346,15989,15990,16037,16057,16059,16062,16182,16249],[11007,11256,11261,12019,12021,12276,13302,13311,14325,15025,15102,15344,15349,15351,15803,15805,15860,15863,16178,16307,16313],[11251,11253,11255,12022,12028,12219,12283,12285,13304,14322,15096,15216,15796,15867,16058,16122,16125,16127,16370],[8113,8180,8190,12024,12025,12218,12223,14066,14839,15602,15606,15857,16061,16250,16255,16312],[7159,8117,8185,8186,12144,12217,14258,14335,15029,15218,15293,15354,16054,16244,16252],[10994,10995,12278,14324,14328,15353,16049,16243,16246,16251,16317],[11262,11263,12272,12282,12286,12287,13300,14326,15092,15287,15288,15356,16119,16309,16373,16377,16382],[8176,8188,11258,12281,15352,15864,16118,16180,16368],[8182,10993,12211,12274,15088,15280,15868,16113,16310],[12280,14327,15357,15359,16063,16319,16379,16381],[11188,11250,12023,12215,15095,15345,15358,15856,16115,16308,16376],[8181,15090,15347,15355,16120,16121,16245,16372,16380,16383],[15283,15798,16117,16123,16124,16318,16375],[12209,12213,12275,16053,16306,16378],[15348,16304,16311,16315,16371],[11254,12277],[12273,15858],[15350,16114,16369,16374]]