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