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