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