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