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