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