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