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