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