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