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