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