0,21,22,49,52,86,93,96,118,119,124,144,149,150,151,173,187,205,219,240,266,314,316,319,348,352,380,389,495,508,686,971,1036,3999: 0,2,4,5,9,10,12,33,41,52,55,62,96,118,119,124,144,149,151,173,234,242,277,385,389,1319,3542,3680: 0,17,18,25,44,52,116,125,144,145,150,159,169,205,305,314,316,327,348,379,389,422,427,495,675,781,1036,1276,1340,1801,2941,3205,4034: 0,4,11,21,26,54,62,86,87,96,98,108,118,124,137,144,173,192,201,205,218,290,314,324,347,390,438,496,569,578,608,673,818,825,880,897,1067,1463,1519,1520,1521,2183,2242,3511,4270,4271,4315: 0,9,32,37,62,66,79,83,98,105,118,119,140,144,149,152,214,217,221,278,287,312,319,342,347,352,385,387,390,453,569,578,595,675,1036,1487,1491,1507,1531,1534,1651,1757,1967,2020,2213,2215,2219,2234,4173,4522,4550: 0,3,4,20,62,64,65,73,98,124,173,176,177,205,244,260,347,385,578,672,1056,1360,1463,1468,1631,1727,1834,3717,3873,4024,4292,4311: 0,3,6,8,24,29,73,124,144,173,176,177,205,385,389,691,729,833,898,989,1340,1360,3698,3717,3873,4024,4292: 0,4,5,9,22,52,62,67,86,98,119,124,144,149,173,240,314,316,319,347,348,389,525,556,578,673,678,1002,1036,1252,1413,1672,2219,2851,3546,4072,4603,4617: 0,21,52,90,124,132,144,177,205,211,227,385,412,456,487,578,613,685,762,1002,1228,1474,1994,2593,3171,4317,4366,4374,4381,4394,4517: 0,4,14,62,98,124,143,144,173,340,347,352,389,578,604,717,1402,1420,1556,2004,2076,2157,3550: 1,52,54,62,144,178,205,213,216,337,341,376,385,389,496,514,534,535,685,732,733,750,788,814,1035,1036,1056,1204,1397,1463,1487,1488,1618,1776,2038,2216,2667,2810,3142,3186,4173,4255,4270,4316,4317,4318,4372,4380,4382,4392,4463,4486,4490,4521,4524,4526,4527: 0,2,4,10,12,33,52,62,66,67,80,101,114,124,144,162,178,309,390,575,669,1847,2270,2549,3816,4271: 0,17,18,57,58,97,123,125,130,144,159,188,193,202,208,242,305,318,352,366,389,470,1319,1472,1801,3904,4315: 0,6,8,24,29,46,52,61,117,124,144,224,225,346,356,357,388,389,487,672,919,1161,1887,4130: 0,6,8,21,30,34,52,118,198,209,289,318,335,352,385,406,778,817,1487,1580,1581,2216,2218,3956,4317,4521: 0,2,7,12,16,18,32,33,48,52,62,66,71,91,144,162,236,389,569,806,831,848,1296,2225,3622,3719: 0,52,78,124,173,204,215,257,318,333,347,352,385,389,497,524,575,578,827,1039,1388,1440,1907,2580,4038: 0,96,124,144,173,204,215,257,333,352,385,675,762,1391,3332,4014,4454: 0,57,121,130,136,144,174,189,193,208,237,241,314,352,498,500,503,576,578,673,1382,1819,3873: 0,2,3,7,17,18,21,25,26,40,42,47,51,52,62,68,70,82,85,116,118,125,144,156,157,159,192,196,205,230,297,314,352,362,496,1157,2105,3329,3465,4250: 0,2,3,7,18,21,25,26,35,40,42,47,51,52,62,70,82,118,192,205,297,314,321,352,359,389,496,2105,4010,4250: 0,54,204,239,250,257,347,389,578,681,815,827,1051,3622,4517: 0,21,52,54,290,347,385,578,925,1254,1487,1544,1756,2191,2216,2469,3166,3410,4004,4119,4267,4317: 0,6,8,18,30,34,52,58,125,131,144,167,175,231,273,274,284,304,345,662,730,900,1057,1404,4388: 0,2,4,9,11,22,26,47,51,52,62,63,70,75,82,84,86,87,118,119,124,132,141,144,146,158,181,192,218,242,246,271,314,315,318,385,496,510,1042,1403,1481,1487,1855,2311,2345,2609,2638,2679,2710,3002,3247,3510,4651: 1,69,87,124,192,195,213,218,235,240,291,316,322,349,350,352,384,386,390,401,411,422,496,507,534,675,686,732,733,826,885,998,1036,1090,1125,1488,1615,1765,2223,2238,2764,3186,3750,4029,4263,4304,4332,4355,4464,4497,4594: 0,6,8,24,29,30,34,45,50,52,96,118,124,144,173,205,290,300,335,346,347,363,376,385,406,435,487,578,788,849,919,1082,1100,1161,1477,1481,2216,2228,2862,3057,3291,3371,4267,4317,4641: 0,4,5,10,12,15,41,52,53,62,117,118,124,144,385,425,783,822,2233,3513: 0,4,54,60,62,67,80,98,101,103,124,128,136,144,178,222,237,352,516,546,578,760,812,1421,2430,4101: 0,2,4,20,32,61,62,65,66,73,124,135,173,176,177,205,353,385,692,962,1050,2240,2455,3582,4055,4271,4315: 0,4,9,20,52,54,62,64,65,98,119,124,144,149,173,177,242,244,260,298,347,385,560,578,1056,1463,4388: 0,4,5,9,19,52,62,75,106,119,124,132,152,158,163,181,240,316,319,385,389,453,509,569,686,1036,1392,3477,3635: 0,20,62,95,111,177,231,244,260,278,382,385,500,607,814,1056,1439,1463,2216,3559,4230,4271,4294,4315,4317,4521: 0,2,4,5,19,47,51,52,62,66,70,86,87,97,118,124,127,132,140,174,187,192,194,205,218,219,235,291,314,322,348,352,384,385,389,401,424,440,496,498,504,523,570,571,572,829,835,839,1043,1068,2589,2590,3933: 0,22,52,74,86,90,112,118,119,124,132,144,149,158,173,211,219,234,259,277,314,318,321,322,329,367,385,389,1473,1760,1968,2186,3767,4266,4292: 0,6,8,24,29,30,34,77,84,87,89,118,119,124,132,158,177,187,192,198,205,209,291,318,342,385,389,456,675,685,744,790,871,884,988,1081,1580,1581,1826,2529,3028,4259: 0,62,98,205,347,390,415,496,578,687,818,1036,1037,1477,1487,1488,1536,1939,2219,3939,4260,4269,4308,4316,4492,4516: 0,52,54,90,124,144,173,205,211,227,242,347,385,389,578,894,987,1111,1212,1228,2216,4317: 0,52,119,124,144,149,173,204,215,234,257,277,278,318,347,352,389,407,569,578,675,680,700,827,946,962,1045,1365,1469,1492,2216,4188,4317,4521: 0,96,124,170,173,204,205,215,231,239,250,257,290,347,385,578,681,815,827,3251,3409,4345: 0,61,96,118,119,124,149,151,173,205,212,290,301,307,347,354,364,385,417,476,578,603,623,715,716,734,960: 0,52,102,111,118,124,173,215,216,257,347,374,385,569,578,680,725,752,827,1035,1522,1758,1963,2216,3436,3499,4188,4205,4317: 0,80,101,118,119,122,124,136,144,170,204,215,237,238,239,250,257,389,407,578,740,815,827: 0,16,18,25,40,42,94,95,144,192,205,314,345,385,390,496,498,569,570,666,1043,1057,1495,1748,2207,3735,4290,4653: 0,2,4,5,9,10,12,19,33,41,52,55,62,72,97,119,124,132,144,149,158,173,234,259,277,322,389,793,1183,1355,1487,1900,2210,3861: 0,6,8,15,24,29,30,34,69,124,132,144,177,198,209,318,322,352,385,572,638,1474,1580,1581,2174,2181,3767: 0,52,70,142,144,150,184,205,219,236,290,314,316,321,347,348,352,389,495,505,508,578,673,686,851,1036,1302,1432,2208,2219,4337: 0,15,124,184,205,218,313,344,376,389,416,465,496,499,674,979,1021,1373,2605,3175,3309,3360,3824,4680: 0,52,73,118,124,144,173,176,204,205,215,256,257,318,320,413,428,556,1260,1469,1492,2003,3089,3528,4266: 0,49,52,86,95,101,111,124,136,205,240,253,314,352,379,483,495,575,578,673,897,923,1036,1201,1872,2034,2208,2219,2237,3652,4009,4117,4356,4392: 0,2,4,5,9,10,12,33,38,41,52,55,62,66,93,96,98,119,124,149,151,162,173,290,347,385,389,578,822,2032,2986,4657: 0,5,7,12,16,18,41,48,52,62,91,144,205,352,385,389,675,1494: 0,52,75,118,119,124,132,158,181,578,675,1048,1172,2046,3455,4109,4329,4374,4434,4443,4596: 0,52,70,103,112,136,142,144,174,189,219,237,314,316,348,385,387,389,439,578,673,675,686,809,853,1036,1055,1685,1982,2035,2219,2397,2441,2833,3702,3921,4543,4608: 0,52,101,124,136,144,205,318,578,675,826,1058,2218,4041,4119,4307,4371,4408,4487,4506,4509,4556: 0,31,57,113,119,124,130,144,149,173,193,208,242,347,352,474,500,503,578,659,772,987,1019,1038,2216,3904,4317: 0,52,75,84,87,119,124,132,144,158,181,192,218,270,315,332,339,349,385,445,496,569,570,624,693,712,826,1043,1047,1057,1061,1106,1107,1108,1488,1748,2190,2207,2225,3819: 0,6,37,45,61,77,78,79,119,144,149,151,224,268,287,290,347,356,380,389,578,598,627,2213,2234,4309: 0,4,52,53,62,86,97,117,124,144,177,205,240,242,314,385,556,574,897,1036,1056,1252,1463,1497,1549,1672,4186,4318,4392: 0,49,52,86,96,124,144,150,173,177,205,234,240,314,316,348,385,389,495,1036,1905,4186: 0,2,4,13,14,23,28,36,47,62,88,98,124,144,148,153,205,218,234,243,294,295,321,322,352,496,578,675,818,943,1045,1381,1401,2065,2743,3314,3756,4503: 0,2,13,14,23,28,36,47,54,62,144,148,187,205,242,243,258,288,294,295,321,352,373,389,496,577,943,1401,1474,2065,2211,2874,3316,3756,4482: 1,69,118,144,172,205,241,318,345,385,822,1490,2236,3188,4254,4306,4307,4313,4317,4321,4327,4520: 1,47,69,112,142,241,316,347,384,385,387,389,401,496,571,578,686,818,1036,1049,1104,1234,1347,1365,2216,2219,3177,3363,3390,3669,3978,4317,4372,4433,4527: 0,12,38,52,61,62,83,98,136,237,318,345,385,441,443,448,578,998,1057,1279,1472,1482: 1,124,173,177,213,236,385,411,535,675,724,826,3180,4051,4263,4310,4434,4443: 0,4,9,36,46,60,61,62,67,88,99,117,119,124,190,218,315,317,352,389,482,496,674,846,875,1050,1077,1481,2153,2209: 0,21,22,47,70,86,118,119,124,142,144,149,165,172,173,174,218,240,269,270,314,315,318,319,349,371,385,387,389,390,465,496,571,624,640,687,962,1036,1474,1488,1491,1495,1593,2100,2207,2215,2220,4276,4314,4479,4570,4612: 0,31,57,113,119,124,129,130,132,144,158,180,191,193,208,234,259,277,322,352,361,389,503,578,1045,1684,1904,2202,4374,4448,4503,4504: 0,3,4,7,18,58,62,98,110,124,125,144,161,171,173,234,247,336,347,368,385,408,415,457,471,546,578,709,738,814,823,1037,1042,1045,1353,1644,1802,1965,2216,2805,4121,4317,4521: 0,3,16,17,18,25,69,94,116,126,144,226,308,314,385,397,415,546,678,823,1042,1353,1803,1965,4121: 0,7,16,18,25,26,40,42,60,62,67,91,118,192,205,226,261,297,313,314,317,379,389,394,402,496,674,678,893,1331,3421,4087,4337: 0,21,119,124,144,267,276,283,346,385,389,390,472,521,539,578,680,784,820,829,1057,1058,1122,1471,1477,1494,1686,1786,1907,3463,4254,4302,4303,4307,4371,4373,4377,4487: 0,4,9,11,22,26,46,52,62,63,84,86,87,99,108,117,118,119,124,138,144,190,192,218,314,315,324,385,389,391,496,574,762,897,1056,1463,3887,4031,4255,4270: 0,4,5,19,62,86,98,118,124,144,173,191,205,218,219,258,288,314,347,348,384,401,496,556,575,577,578,641,651,673,818,1401,1476,2211,3449,3565,4037,4044,4394: 0,4,11,13,14,23,26,28,39,43,62,86,87,92,96,98,115,118,124,137,173,192,201,218,290,314,318,347,355,389,435,438,447,496,578,608,673,818,880,1021,1388: 0,4,5,9,10,12,19,41,52,55,62,72,119,124,132,144,158,241,259,289,322,352,385,439,572,675,676,1456,1466,1892,2040,4073,4205,4345: 0,4,20,21,53,62,65,117,124,144,177,205,244,260,318,385,426,826,1056,1463,2079,3616,4120: 0,5,7,16,18,36,40,62,91,120,205,231,318,352,384,389,496,519,675,826,3887,4120,4181: 0,22,31,46,57,86,99,110,113,117,119,124,161,174,190,191,193,210,251,272,282,314,389,542,706,1474,1711,1787,1788,2038,2087,2348,2922,2933,3886,4312: 0,2,9,20,32,37,52,62,64,66,79,98,105,119,135,149,151,177,214,268,287,290,298,347,353,379,385,389,578,692,877,1065,2015,2213,2234,2455,4309: 1,46,70,86,117,124,142,144,174,240,242,314,316,348,385,387,389,390,439,498,525,578,673,678,753,889,1036,1047,1053,1481,1491,1495,1747,1757,1885,2214,2219,2397,2441,2534,2833,2925,3432,4256,4263,4317,4334,4435,4527,4594,4608: 0,2,4,10,12,32,33,52,61,62,66,69,71,124,132,162,172,173,176,234,322,483,556,675,831,848,1040,1052,1976,2225,4391: 0,22,31,37,52,79,119,144,149,186,193,208,212,265,277,287,299,301,314,347,348,379,389,498,503,504,556,568,578,623,673,677,734,866,979,1045,1130,1223,1249,1495,2213,2234,2440,2559,3158,3193,3450,4261,4395: 0,52,144,177,193,201,205,290,314,318,347,348,352,389,503,504,568,578,608,673,677,803,829,1099,1495,2499,4355,4464: 0,18,25,52,86,100,101,113,123,124,129,144,155,172,193,217,274,314,318,383,385,388,594,675,805,989,1120,1479,2078,2210,2225: 0,17,18,21,25,52,58,70,90,102,116,219,314,331,348,389,470,614,626,675,1438,1760,2042,2079,3638,4070: 0,22,49,86,119,124,129,132,144,150,158,180,205,219,234,240,242,259,266,277,282,314,316,319,322,348,352,361,379,385,495,508,686,789,1036,1057,3622,3874,4083: 0,22,31,57,86,113,119,121,124,130,132,158,174,178,193,208,314,352,389,420,455,498,939,973,1701,1804,2404,2813,4233: 0,52,74,90,97,118,124,132,144,173,205,211,216,234,322,385,502,526,553,967,1356,1358,3681,4469: 0,12,38,52,62,83,98,205,347,385,441,443,448,556,578,1472,2029,2068,3035,3275,3659,4622: 0,52,96,119,124,144,149,151,173,191,205,218,240,290,315,316,319,347,352,384,385,401,496,578,686,818,1036,2216,2219,3819,4186,4267,4317,4372,4527: 0,4,62,80,101,118,124,140,178,218,385,496,556,654,675,1043,1051,1450,1886,3837,4271,4315: 0,2,9,32,37,47,51,52,56,62,66,79,84,98,105,118,119,129,135,139,144,149,192,214,245,277,287,293,299,315,347,385,389,438,450,496,504,513,523,571,578,757,818,1045,1477,1487,1671,1923,2075,2213,2220,2234,2239,2334,2412,3410,3955,4259,4328,4395: 0,6,8,17,18,25,35,42,52,57,58,97,116,121,123,125,130,144,147,154,156,159,174,175,182,192,193,208,273,304,306,314,352,366,470,498,523,570,591,895,1048,1214,1229,1230,1595,1596,2027: 1,62,98,205,352,377,385,390,496,556,578,675,818,826,1036,1381,1463,1487,1488,2219,3295,3771,4260,4269,4270,4274,4316,4374,4382,4392,4503,4526,4668: 0,3,57,61,102,121,130,135,174,193,205,208,242,314,318,352,498,503,560,578,651,673,936,1045,1451,1472,4117: 0,3,53,57,86,102,113,117,124,144,174,193,205,314,376,385,556,651,936,1451,3528,4349: 0,6,8,24,29,30,34,52,87,118,124,144,173,192,205,236,291,385,2196,3804,4271: 0,3,95,129,204,205,231,257,318,347,385,497,578,642,675,751,786,827,995,1468,1876,4311: 0,3,52,74,118,124,129,132,170,173,204,205,215,234,239,250,257,318,322,385,389,700,786,995,1112,1469,1876,1999,4257: 0,3,46,52,90,117,118,124,211,318,385,389,526,786,1999: 0,6,8,24,29,52,61,74,118,124,132,154,173,182,205,231,234,322,385,642,675,1305,3899,4472: 0,52,118,133,144,205,228,229,231,310,314,347,351,385,495,504,532,533,574,578,642,673,675,897,979,1036,1464,1926,1932,2208,2219,2237,2896,3178,3179,4318,4392: 0,26,62,98,118,137,192,205,314,330,347,352,385,438,496,578,617,673,694,818,825,1037,1314,1468,4308,4311: 0,17,18,54,58,125,159,175,274,284,306,385,389,426,470,480,1032,1799,4391: 0,96,118,119,122,124,144,149,151,170,173,204,215,239,250,257,284,345,385,389,407,433,497,504,684,1285,1469,2074,3207,3467,4257: 1,144,177,385,389,578,1053,2214,2217,2225,2235,2925,3188,4227,4254,4302,4303,4307,4313,4317,4334,4371,4373,4375,4377,4487,4513,4613,4636: 0,6,8,21,24,29,30,34,51,74,77,84,87,89,118,119,124,132,144,149,154,158,166,173,182,187,192,207,234,259,277,278,291,313,322,329,385,390,425,523,662,680,744,871,1081,1525,4164: 0,2,9,37,62,79,98,105,119,142,144,149,152,214,221,242,252,287,289,319,323,347,385,389,453,569,578,595,1036,1507,1651,1898,2213,2219,2234,3771,4522: 0,2,12,32,33,52,62,66,71,97,162,205,242,318,385,569,675,831,848,926,1224,1241,1255,1340,1627,1705,2225,4271,4315: 0,4,5,9,21,22,54,62,73,86,98,119,122,124,144,149,160,164,170,173,176,179,205,239,240,250,262,296,314,316,318,319,347,348,349,352,376,386,389,466,578,601,624,673,675,685,815,929,1036,1283,1468,1488,2219,2715,3258,4269,4311: 0,54,124,170,173,204,205,215,234,239,250,257,322,385,389,817,944,4423: 0,2,4,36,47,62,66,80,83,88,101,118,124,144,218,241,243,352,385,389,429,496,506,571,859,1008,1271,1583,1993,2207: 0,2,4,5,10,12,15,19,21,33,38,41,52,62,72,96,98,124,173,231,234,241,290,313,347,385,389,578,675,762,816,1045,1477,1978,2240,3281,4488: 0,6,8,24,29,45,50,80,86,101,113,124,129,136,144,177,193,205,237,280,287,314,335,343,385,406,424,503,574,578,620,673,689,691,729,833,897,898,965,1038,1247,1652,2828,3288,3692,4256,4277,4278,4317,4391: 0,4,11,26,62,67,86,87,118,124,172,176,192,218,234,261,314,318,322,389,390,496,674,678,722,816,893,1902,2017,3529,3764,4181,4292: 0,52,102,119,122,124,144,170,205,242,250,259,308,318,322,376,385,410,422,461,517,556,832,896,999,1452,1494,1662,1772,3496,4367,4500: 0,22,52,53,76,86,97,117,119,124,144,190,205,314,352,385,504,574,578,673,675,793,878,897,1431,2214,3825,4666: 0,4,5,11,21,26,27,46,52,62,86,87,117,118,124,140,141,146,184,192,218,231,246,271,291,314,348,384,389,489,496,498,510,570,675,1043,1450: 0,52,69,119,124,132,144,158,184,215,253,257,259,321,322,352,390,407,497,572,675,676,862,1469,3705,4458: 0,7,12,18,48,52,60,62,67,114,129,144,205,231,236,326,344,352,390,543,1332,1633,2038,2328,3206,4165: 0,5,9,12,37,38,41,52,55,62,79,98,105,119,149,184,186,214,231,236,277,287,289,299,347,385,389,396,442,578,675,1045,1381,2213,2234,2901,4395: 0,3,46,49,86,117,118,124,144,150,205,240,314,316,348,389,495,992,1036,2032: 0,6,8,24,29,52,74,77,89,118,119,124,132,149,154,158,166,173,182,198,207,209,234,259,277,300,322,329,363,389,390,487,546,675,919,970,1116,1117,1161,2863: 0,4,52,56,60,62,67,73,87,98,107,124,129,139,144,173,176,192,205,218,317,347,378,385,389,402,424,438,496,578,674,818,838,893,1299,1468,2486,4311,4633: 0,2,3,4,5,7,18,19,20,52,54,58,59,62,64,65,66,98,124,177,220,234,353,385,390,578,647,680,692,803,876,1045,1050,2578,4176,4312,4337: 0,3,52,54,80,101,124,135,136,172,177,205,237,385,390,578,647,679,803,820,1050,1058,1490,1793,2234,2236,3352,4176,4254,4262,4273,4307,4337,4377,4487: 0,3,52,133,135,172,205,242,314,351,385,390,495,532,533,574,647,675,801,826,897,916,917,1036,1050,1464,1896,2237,3178,3179,4318,4337,4392: 0,2,4,5,11,19,26,27,47,51,62,66,70,82,86,87,96,98,104,118,124,137,144,173,174,192,201,205,218,219,235,236,242,290,291,314,347,348,384,385,401,438,496,523,571,578,608,673,818,880,1039,1388,1475,4201: 0,21,69,97,119,122,124,144,170,178,204,215,223,239,250,257,267,276,280,283,333,389,407,472,497,521,524,527,539,578,684,803,815,827,1446,1686,1786,2801,3634: 0,52,62,69,110,144,160,171,177,210,236,242,250,303,314,365,376,385,405,413,451,574,832,896,897,1036,1056,1303,1463,1488,1787,2154,4318,4392,4524,4526: 0,9,19,37,62,79,98,105,118,119,144,149,152,184,214,221,231,287,289,319,347,390,422,453,509,569,578,595,675,686,770,1036,1487,1494,1507,1651,2213,2219,2234,4522: 0,18,52,125,177,253,352,415,563,1236,1958,2217,2937,4443,4595: 0,52,57,86,103,113,118,121,124,130,144,174,176,193,208,234,314,322,352,390,498,675,722,766,771,816,1293,1967,2048,3723: 0,4,36,52,62,88,95,96,98,118,124,132,144,153,173,218,234,258,288,290,347,352,373,419,440,496,577,578,642,818,1045,1401,1463,1867,1902,2211,2874,3050,3287,4258,4270,4281,4374,4386,4637: 0,5,19,36,62,110,120,144,171,205,242,352,384,385,401,403,496,698,1018,1057,1164,1465,1932,1940,2173: 0,17,18,58,61,78,85,100,123,144,175,193,230,306,366,390,464,470,500,501,1055,1293,1586,1800,3914: 0,4,5,10,12,19,38,41,52,61,62,72,98,118,124,144,173,234,278,347,385,390,578,659,685,814,1045,1481,1668,2153,2216,3057,3291,4271,4315,4317,4521: 0,4,5,19,52,62,80,86,87,98,101,124,136,192,205,218,219,235,236,237,240,291,314,316,348,384,389,401,430,438,496,578,673,686,818,921,1036,1052,1372,1858,1890,2219,2886,3898: 0,18,42,51,69,118,144,165,192,199,269,291,332,338,386,390,523,536,570,826,1109,1110,1306,1488,2235,3404,4271: 0,52,74,90,118,124,132,144,173,205,211,234,322,331,385,400,526,614,680,995,2123: 0,4,13,14,15,53,62,69,86,92,115,117,118,124,160,168,170,179,183,205,240,250,314,320,349,376,385,389,529,675,687,731,1036,1488,1762: 0,6,8,45,50,61,118,144,300,345,347,363,389,578,675,895,1018,1057,1214,4130: 0,53,54,90,117,124,144,203,211,318,385,440,666,675,690,728,1474,1477,4520: 0,2,3,4,32,47,51,52,62,66,73,83,87,102,124,144,173,176,177,186,192,205,216,218,390,496,523,571,631,653,675,685,874,1018,1057,1748,1998,2207,2220,2584,4251,4259,4292: 0,3,52,102,144,150,177,186,205,216,314,316,321,347,348,390,495,578,673,675,685,749,888,1018,1036,1045,1687,1998,2208,2216,2219,3091,4251,4256,4292,4317,4380,4503,4515,4521,4527: 0,4,9,13,14,46,52,62,99,117,119,124,128,144,178,190,205,222,321,389,454,1094,1096,4292: 0,52,129,144,241,289,290,347,385,496,557,571,578,818,1043,1436,1487,2207,2209,2220,3216,4291,4549: 0,6,24,30,52,53,78,117,124,131,144,224,352,376,379,385,390,667,856,1473,1487,1900,2191,2235: 0,6,8,24,29,30,34,77,89,119,124,149,173,320,385,439,675,816,999,1470,3490,4271: 0,52,118,144,204,257,347,389,425,578,660,675,827,1080,1250,3837,4219,4376: 0,5,19,52,54,62,98,118,144,205,219,231,239,250,314,316,347,348,384,386,401,409,424,496,527,578,673,686,815,818,869,1036,1488,1852,2219,2238,2432,3613,4269,4271,4464: 0,3,31,37,52,79,119,149,177,191,193,205,231,277,287,299,347,385,503,556,568,578,651,675,677,811,866,1045,1099,2044,2213,2234,3193,3587,3905,4111,4395: 0,2,3,9,20,37,52,62,64,98,105,119,136,177,191,205,214,231,237,238,259,287,298,353,389,399,428,578,651,675,679,740,877,1065,1202,1793,2234,3099,3587,3905,4111,4268,4503: 0,6,8,24,29,30,34,93,118,124,132,143,144,236,320,352,385,430,766,1029,1184,1365,1387,1492,2152,4271,4674: 0,6,8,15,24,29,52,77,89,119,124,132,144,158,231,234,259,277,278,322,385,730,854,855,891,892,900,1269,1474,1890,1932,4079: 0,2,3,4,9,20,52,62,65,95,119,124,132,158,177,205,259,281,289,298,318,322,352,353,555,572,575,676,1046,1900,3854,4130,4621: 0,3,95,113,124,144,173,177,193,205,281,289,318,352,379,385,422,555,568,677,1099,3854,4130: 0,4,5,19,36,52,62,69,74,88,98,118,120,124,132,144,153,173,218,231,234,318,322,347,352,384,385,401,496,559,576,578,658,671,698,818,1045,1362,1865,2900,3753,4374,4385,4503: 0,4,11,26,62,86,87,98,101,118,124,129,136,137,144,191,192,218,314,330,385,420,438,496,578,617,673,694,818,1037,4170,4308: 0,52,144,150,205,242,314,316,347,348,385,390,495,576,578,673,1036,1292,2208,2219,3691: 0,144,193,203,290,342,347,422,503,578,681,1054,1217: 0,6,8,24,29,30,34,52,53,117,118,124,144,385,487,808,919,1082,1161,2074: 0,5,12,38,41,52,62,66,67,98,114,162,177,320,347,385,424,551,578,675,776,1267,1304,1418,1994,2074,2118,2145,2734,3058,3293: 0,2,7,18,35,44,52,58,62,118,125,142,152,175,285,312,323,352,385,389,520,569,714,930,1036,3638,4473: 0,4,52,62,101,124,143,144,218,240,242,275,328,352,385,496,576,669,683,812,928,1036,1056,1321,1463,1813,1847,2217,2230,2867,4255,4270,4318,4392: 0,6,8,45,50,54,118,144,154,182,205,385,437,501,556,578,801,878,998,2214,4053,4368,4464: 0,3,22,52,86,90,96,119,124,144,149,151,173,205,211,227,281,287,290,314,347,352,367,385,574,578,673,675,690,728,897,1305,1369,1433,2042,3719: 0,3,5,9,12,19,37,38,41,52,55,62,72,98,105,119,136,144,205,214,238,287,396,399,442,578,679,826,1297,1369,1433,1451,2042,2149,2234,3719: 0,3,37,52,79,90,118,119,149,205,227,277,287,299,347,367,400,578,675,826,910,1045,1147,1297,1369,1451,2149,2213,2234,4395: 0,4,10,12,52,62,75,83,124,132,144,385,441,443,448,557,569,959,1472,4637: 0,4,5,10,12,38,41,52,62,96,98,124,129,144,173,203,290,347,374,385,578,680,725,774,792,814,1668,2216,2726,3042,3570,4267,4317: 1,54,144,352,385,578,675,812,822,1465,1899,2243,2457,3215,4266,4271,4274,4307,4315,4365,4374,4397,4487,4496,4503,4504,4652: 1,133,144,228,229,314,351,389,437,532,533,617,681,826,1036,1795,1797,2173,3178,3179,4516: 0,31,52,57,61,78,113,119,124,130,132,158,193,203,205,208,259,321,322,352,389,492,552,557,748,1199,1200,1640,1965: 0,4,11,13,23,26,39,53,62,86,87,92,117,118,124,192,218,314,355,385,389,422,496,687,1294,1445,3535,4315: 0,22,81,86,101,118,119,124,144,218,238,240,242,275,314,315,316,319,328,348,376,384,389,390,496,538,552,609,748,791,1036,1356,1545,1820,1948,2200,2692,2885,3412,4170,4300: 0,52,57,130,133,144,193,205,208,351,352,385,675,758,908,909,1408,1477,1487,4165: 0,2,5,12,33,38,41,52,61,62,66,67,83,98,114,140,162,205,345,347,389,443,575,578,584,890,1047,1208,1318,1481,2189,2535: 0,5,7,12,17,18,35,41,48,52,58,62,68,85,125,144,147,159,175,230,306,385,470,518,546,573,675,823,1009,1052,1383,1486,4345,4353: 0,22,31,37,52,79,100,119,134,144,149,155,178,193,265,287,314,318,347,385,389,503,578,673,866,1008,2213,2234,2511,2512,3193,3783,4261: 0,4,5,9,15,19,36,53,62,76,88,117,119,120,124,144,190,205,217,218,315,346,352,384,385,389,401,496,698,875,3509,3687,4463: 0,2,7,12,18,21,33,35,48,52,58,62,118,125,144,175,205,389,520,4204: 0,2,3,7,17,18,62,66,68,85,125,128,159,178,196,205,230,231,362,385,389,581,675,870,1326,1532,1866,2036,4209,4523: 0,3,16,17,18,25,44,91,116,126,145,169,178,205,226,302,314,327,385,389,398,444,495,525,678,845,1036,1326,1624,1827,1866,4209,4523: 0,2,4,9,36,46,47,62,88,99,117,119,124,190,218,236,242,243,315,320,352,385,389,496,687,875,1472,1910: 0,4,10,12,52,60,62,67,114,124,132,144,173,176,284,326,379,385,494,556,669,881,1847,1944,2018,3129,3130,4306: 0,21,144,205,216,385,428,480,504,823,1093,1095,1218,1219,1411,1426,3188,3620,4254,4307,4313,4317,4391,4512,4520,4521: 0,5,7,9,12,18,35,41,48,52,55,62,85,119,143,144,158,175,205,217,259,379,464,466,474,1470,1487,1841,1974,2177,2240,2329,2746,4358,4464: 0,4,5,10,12,41,46,52,62,117,124,144,178,389,992,2744,3097,3318,4271,4315: 0,52,61,75,124,132,144,212,301,307,354,364,376,385,389,603,1917: 0,21,47,51,78,81,97,142,165,186,192,236,291,316,318,347,350,376,379,384,386,389,390,392,438,496,507,578,818,873,1036,1041,1045,1205,1266,1466,1488,1613,2216,2219,2636,2901,4269,4317,4372,4412,4486,4521,4527: 0,9,37,52,62,95,98,105,111,118,119,128,136,178,214,237,238,246,287,399,454,500,516,578,675,679,740,1494,1793,1850,2234,2471,3099: 0,2,4,10,12,32,33,38,52,62,71,98,124,144,173,205,347,352,578,580,582,590,616,654,675,956,979,1493,1978,2148,3281,4266: 0,3,5,12,38,41,52,62,98,136,144,231,236,385,421,569,578,969,2257,2514: 0,3,4,52,62,101,106,124,132,144,152,173,176,231,236,240,322,385,389,421,478,569,816,1036,1056,1463,1693,2720,3267,4318,4392,4540: 1,4,62,118,124,144,177,213,216,218,240,349,385,389,411,496,537,675,732,733,1036,1056,1125,1463,1487,1488,1615,1776,1881,1996,2300,2709,2764,2810,2812,3186,3848,4255,4263,4270,4304,4316,4318,4331,4332,4382,4383,4392,4472,4490,4524,4526,4594: 0,2,5,7,18,20,52,59,62,67,118,135,172,175,177,205,309,352,353,656,876,1078,1280,2036,3964,4478: 0,4,5,11,15,26,27,52,62,78,83,86,87,98,118,124,137,144,173,192,205,218,234,242,251,291,314,322,347,348,352,384,438,440,496,578,673,675,685,699,818,1045,1074,1287,1415,1436,1467,1495,1499,1563,1687,1748,2142,2207,2499,3126,3342,3509,4105,4503: 0,2,4,5,9,36,47,52,62,75,88,98,119,120,124,132,144,153,158,177,181,205,218,232,243,315,352,384,415,419,496,578,818,875,1055,1172,1952,2114,3668,4374: 0,4,11,26,46,60,62,67,86,87,97,117,118,124,192,205,218,226,261,314,317,385,389,394,402,419,496,547,674,678,893,3852,4105: 0,136,205,314,385,389,419,495,574,578,673,897,1036,1271,1464,2208,2219,2237,4105,4318,4392: 0,2,12,33,38,52,62,98,118,144,205,231,236,278,347,385,425,479,578,776,995,1012,1057,1494,2734,3058,3293,3791: 0,4,5,52,62,86,124,129,132,144,160,170,179,180,234,239,240,250,262,314,316,322,348,349,376,386,389,1036,1488,1730,1836,2101,2225,2696,2740,3376,3570,3890,3957,4291: 0,2,13,14,23,26,28,39,43,47,51,52,62,70,82,92,110,115,118,144,171,192,210,314,355,385,403,447,496,566,1221,1317,1657,2040,3197,4128: 0,2,4,5,10,12,32,33,41,52,62,71,80,101,124,135,191,264,292,352,385,390,477,504,569,675,687,784,4029: 0,4,5,9,10,12,19,38,41,52,55,62,72,98,119,124,129,191,205,234,277,286,321,352,370,371,465,477,492,493,499,553,578,675,735,736,784,1045,1392,1493,1849,2075,4029: 0,6,8,18,35,58,61,118,125,144,175,224,225,273,304,356,357,385,389,520,569,999,1979: 0,81,86,113,124,144,173,177,193,208,314,347,348,352,385,413,477,498,503,556,568,578,673,675,677,764,1055,1358,1417,1495,1978,2559,3281,3884: 0,4,5,9,11,19,22,26,27,52,62,63,84,86,87,98,104,118,119,124,129,137,144,149,173,192,218,219,234,235,277,291,314,315,347,348,384,385,389,401,420,438,496,578,673,675,818,979,1045,1452,3510,3925: 0,4,52,62,74,118,124,128,132,144,173,177,178,222,234,254,322,1037,1393,3826: 0,3,4,62,95,98,118,124,173,205,240,242,345,347,385,439,540,578,606,687,753,755,889,890,1036,1071,1162,1349,1371,1457,2219,2890,2947,3077,3306,3805,4037: 0,3,47,51,70,133,192,193,197,205,228,229,314,345,351,352,385,389,439,459,460,496,532,533,677,687,755,904,905,908,909,1349,1371,1457,1495,1587,1588,1748,2207,2220,2390,2994,2995,3146,3353,3360,4259,4314,4379: 0,3,4,5,36,62,88,98,120,124,153,173,205,218,347,352,384,385,389,439,496,578,687,755,818,1371,1457,2890,2947,3077,3306: 0,46,52,87,90,93,117,124,144,178,192,211,218,227,352,389,400,438,496,523,571,578,755,817,818,1053,1371,2214,3306,3658: 0,4,5,10,12,41,52,62,80,97,101,124,144,185,491,554,569,644,663,942,996,2138,3409,3648: 0,7,16,18,36,40,52,62,67,94,97,185,231,352,385,388,485,491,496,519,554,674,675,1020,1077,2138,2341,2664,2758,3344,3409,3648: 0,4,62,97,98,124,144,173,218,240,289,347,352,385,496,578,650,793,818,940,1036,1056,1279,1320,1348,1386,1463,1492,1629,1718,1828,1865,2217,2219,2646,3218,4255,4270,4318,4392: 0,4,5,9,11,22,26,27,46,62,63,83,84,86,87,99,117,118,119,124,144,190,192,205,218,291,314,315,348,379,384,389,496,675,699,786,812,1074,1467,1495,1499,1563,1748,1865,2207,2499,3999: 0,6,8,30,34,129,144,335,406,479,493,669,1376,3199,3200,3416,4035,4265,4317: 0,2,4,5,36,47,52,62,88,96,98,120,124,153,173,218,243,290,345,347,352,384,385,389,496,569,578,675,818,927,972,1324,1850,2007,2110: 0,52,118,144,205,242,312,314,347,385,389,495,574,578,673,897,1036,1464,2208,2216,2219,2237,4256,4264,4317,4318,4392,4515,4527: 0,3,4,5,9,19,52,62,75,119,124,132,158,181,205,240,284,316,319,321,345,389,390,419,540,576,606,686,889,890,940,1036,1071,1083,1208,1285,1533,1676,1747,2043: 0,3,22,49,52,86,119,124,149,173,205,240,266,314,319,321,345,347,389,419,444,495,525,576,578,673,678,940,1036,1285,2043,2208,2219: 0,124,144,170,176,178,215,231,250,257,322,352,385,418,775,832,896,1011,1327,1367,1446,1522,1758,1941,2224,3250,3407,4517: 0,4,10,12,38,52,62,67,96,98,114,118,124,144,172,173,205,214,290,347,396,578,785,814,1668,1978,2081,2213,2216,2234,4267,4309,4317: 0,4,52,60,62,67,98,124,173,205,218,317,347,352,383,463,496,537,578,674,675,769,788,814,818,1862,2191,2216,2644,2724,3033,3273,4162,4177,4317,4372,4602: 0,5,7,12,16,18,41,48,52,62,69,91,144,191,205,352,389,421,488,805,1264,2257,2514,4354: 0,4,52,60,62,80,86,87,97,101,124,127,144,192,194,205,218,226,314,317,389,402,496,4047: 0,31,46,52,57,97,99,113,117,118,119,124,144,190,193,197,318,389,390,677,1305,1825,2585,3025,4219,4379: 0,5,7,16,18,62,91,97,128,144,148,178,206,231,389,870,3509,3639,3710,3953: 0,4,5,10,12,38,41,52,62,98,124,129,144,173,186,242,347,352,385,390,425,494,578,1465,2739,3302,3440,4518: 0,4,10,12,52,60,62,67,78,96,114,124,144,173,187,205,326,379,390,440,500,1057,1240,1274,1350,1472,2957,3474,4452: 0,62,90,98,118,133,227,248,249,289,351,352,385,421,578,675,690,728,1045,1056,1463,1487,1795,1797,2045,4649: 0,52,54,61,95,110,111,118,144,212,286,301,307,336,352,354,564,737,788,2191: 0,51,52,69,81,87,97,124,144,165,173,178,192,269,291,321,332,349,369,385,386,415,429,523,570,675,1000,1358,1488,2173: 0,54,74,118,124,132,170,173,191,205,223,234,242,250,308,322,385,410,461,517,684,1008,1070,1207,1216,1381,1547,1746,2233,2411,4257: 0,52,144,150,205,219,314,316,347,348,352,389,495,508,559,578,673,686,784,1012,1036,1057,1281,1468,2208,2219,3760,4311: 0,22,31,52,69,84,86,87,100,109,113,119,124,144,149,155,173,192,193,219,235,241,275,291,314,348,376,389,415,482,538,568,576,618,654,675,782,850,1567,1832,2084,2504,2847,2848,2950,3234,3998: 0,46,52,69,99,117,119,122,124,144,170,190,215,250,257,389,407,482,497,654,675,684,862,1469,1598,1832,3770,3869,4257: 0,52,101,102,119,122,124,132,149,158,170,173,176,204,215,231,238,239,250,257,376,385,389,407,466,482,654,675,788,816,1182,1470,1832,2982,3062,3063,3869: 0,6,24,46,69,77,78,97,99,117,119,124,154,190,205,289,379,389,474,675: 0,4,5,9,22,62,86,101,110,118,119,122,124,160,161,170,171,179,205,210,238,239,240,242,247,250,251,262,272,275,296,303,314,316,319,328,334,348,349,365,376,385,386,404,405,440,451,452,462,538,542,597,609,624,688,704,705,706,711,1036,1488,3197,3828,4023,4500,4642: 0,7,16,18,19,25,40,42,62,94,97,118,127,144,192,219,235,285,289,314,385,389,401,496,569,812,1487,2049,2055,4391: 0,2,4,5,11,26,27,47,51,62,70,73,82,86,87,98,118,124,137,144,173,176,192,205,218,291,314,347,348,352,384,389,438,496,564,569,578,648,673,796,818,970,1327,1468,3504,3904,4311: 0,2,9,22,26,37,47,51,52,62,63,70,79,82,84,98,105,118,119,135,137,149,151,192,214,231,259,265,268,277,287,290,299,314,315,347,385,389,438,450,484,496,513,578,673,675,818,1045,1173,1202,1700,2136,2213,2234,2239,2317,2836,3771,4261,4268,4309,4328,4393,4395,4503: 0,4,5,10,12,38,41,52,62,98,118,124,144,173,347,352,376,385,389,578,1493,1923,4111,4130,4349: 0,3,4,5,11,26,27,62,86,87,95,111,118,124,135,173,192,218,291,314,348,384,389,415,493,496: 1,129,150,205,219,255,289,314,316,348,352,490,495,508,569,675,686,687,829,1036,1046,1177,1486,1731,2216,4256,4267,4283,4317,4380,4386,4393,4421,4485,4504,4515,4521,4527: 0,3,4,5,19,56,62,87,96,98,107,124,129,139,173,192,217,218,235,263,290,291,325,345,347,352,358,374,384,389,401,423,438,496,512,578,675,680,725,762,814,818,1041,2110,2216,2647,2726,3042,4265,4267,4317,4343,4372,4678: 0,3,4,9,46,62,66,98,99,117,119,124,129,190,217,240,319,345,387,389,540,578,606,680,762,814,1036,1053,1072,1162,1676,2110,2214,2219,2925,4265,4317,4334,4527: 0,4,9,13,14,22,23,28,39,43,62,74,84,86,87,92,97,115,118,119,124,127,132,144,149,158,173,192,194,205,218,234,259,277,314,315,322,329,389,393,446,496,602,675,680,1008,1974,3515: 0,2,5,12,19,33,38,41,52,62,66,72,98,118,135,144,162,320,347,389,578,770,2110,3837: 0,23,28,39,43,47,51,69,129,142,144,165,168,183,192,347,350,385,390,392,438,496,529,557,564,578,731,818,843,844,873,1036,1312,1488,2027,2219,4269: 0,133,144,150,205,219,228,229,242,252,309,314,316,347,348,351,352,385,432,495,508,532,533,578,673,686,1036,1898,2208,2219,3178,3179,4166,4271,4315: 0,4,5,9,10,12,41,46,52,55,62,99,117,118,119,124,144,189,190,352,385,389,924,1636,1741,2332,4520: 0,4,5,11,19,26,27,52,62,69,86,87,104,118,124,132,144,173,192,218,219,235,236,291,314,322,348,352,384,385,389,401,496,1853,2225,3449,3826,4315: 0,22,31,37,52,57,119,121,130,135,174,193,208,232,242,265,277,287,299,314,352,385,389,498,503,578,658,673,866,1045,2234,3193,3698,3983,4261,4395: 0,2,7,12,18,32,33,35,48,52,58,62,66,71,118,125,144,162,175,217,284,321,352,520,569,675,764,831,848,1000,1998,2225,3544,4235: 0,4,5,10,12,19,38,41,52,62,72,93,98,118,124,144,173,347,385,389,578,662,1006,1358: 0,2,5,9,37,62,66,79,98,105,118,119,142,144,149,152,163,205,214,221,231,287,316,319,323,347,352,387,415,453,569,578,595,812,1036,1057,1507,1531,1651,2213,2219,2234,3622,4019,4223,4391,4522,4654: 0,2,4,5,36,47,62,66,88,120,124,144,218,236,243,322,352,384,385,496,506,571,1320,1337,3549,3584,4271,4315: 0,2,5,7,17,18,19,21,35,40,44,47,52,58,62,66,68,103,118,125,142,144,147,157,159,169,175,306,316,384,387,389,401,470,496,520,571,675,686,982,995,1036,1365,1422,1492,1704,2433,3218,4170: 0,4,10,12,52,62,83,124,132,178,284,352,385,389,441,443,448,455,687,1047,1472,3541,3816,4034: 0,9,13,23,31,37,39,61,62,79,84,98,105,119,149,151,192,193,205,214,268,287,290,315,318,347,385,389,438,450,496,503,513,578,621,818,866,1484,1487,1811,2213,2225,2234,2239,2477,2850,3193,3830,4309,4328: 0,4,13,14,62,69,96,106,118,124,152,168,173,176,183,205,240,242,318,376,385,389,569,586,587,636,640,779,1036,1338,2225,3009,3252,4464: 0,4,11,21,26,62,66,86,87,118,124,173,174,192,205,217,218,234,314,321,322,352,376,385,389,496,523,571,816,822,933,1475,2173,2225,4511: 0,21,26,62,98,118,137,144,192,205,286,290,314,347,377,378,438,496,578,592,622,673,818,860,861,901,902,1042,1045,1597,1763,2288,2489,4271: 0,2,7,13,14,18,23,25,28,35,39,40,42,43,47,51,62,70,92,97,115,127,144,175,192,203,205,242,314,352,385,393,446,496,502,653,675,801,1068,4315: 0,15,52,80,90,97,101,124,136,144,205,211,227,237,385,400,474,578,769,1027,2158,3387: 0,4,5,53,62,117,124,128,144,178,206,222,352,385,424,759,1399: 0,2,4,9,32,47,51,56,62,66,83,84,87,96,107,119,124,129,144,149,151,173,192,218,231,242,245,293,315,318,321,352,385,390,496,523,571,770,934,1748,2207,2220,2412,2584,3412,3582,4180,4214,4259,4271,4315: 0,2,4,5,9,10,12,19,33,41,46,52,55,62,66,72,99,117,119,124,144,162,190,205,385,389,417,3588,4084: 0,62,242,314,385,425,617,675,814,1037,1039,1365,2110,2216,3223,3584,4256,4267,4317,4380,4521: 0,2,7,16,18,44,62,91,142,144,152,242,246,323,385,389,528,569,714,1036,3839,4651: 0,52,118,124,144,170,173,239,242,250,280,308,347,389,410,461,504,517,527,530,569,578,619,815,840,1336,1411,1458,1771,2193,2216,2840,3288,4209,4317: 0,4,5,7,18,25,44,54,58,62,86,98,110,124,125,144,160,161,170,171,173,179,199,210,234,239,240,247,250,262,272,303,314,316,334,336,347,348,349,365,368,376,386,389,404,405,408,451,452,457,462,471,530,531,578,596,601,673,709,738,799,814,815,864,970,984,1036,1042,1045,1152,1385,1488,1645,2216,2219,2298,2546,2678,2770,4256,4269,4317,4486,4521,4527: 0,2,4,47,51,52,62,66,70,83,86,87,96,97,98,124,127,173,174,192,194,218,234,236,241,280,290,314,347,389,438,496,515,523,571,578,673,814,818,826,835,859,1041,1045,1068,1115,1280,1495,1582,1583,1646,1748,2207,2216,2417,2620,2730,3288,4256,4267,4317,4372,4521: 0,118,124,144,148,173,236,242,321,347,352,385,390,578,650,675,820,1058,1093,1095,1218,1219,1718,1828,3427,4183,4254,4306,4307,4377,4487: 0,101,124,136,144,148,231,242,284,321,345,352,385,390,578,675,820,970,1057,1058,3518,3603,4254,4307,4375,4377,4487,4513: 0,52,57,61,130,193,205,208,231,280,347,352,385,503,578,802,1304,1468,1950,3558,4311: 0,26,52,60,62,118,144,192,205,226,314,317,385,389,390,394,402,496,575,926,1224,1255,1357,1623,1627,1766,1775,1794,2310,2608,2637,2837,2998,3174,3713,4271,4315,4354: 0,4,62,66,86,124,132,144,160,170,173,174,176,178,179,223,240,250,258,269,288,314,349,376,383,385,387,389,547,556,577,746,881,907,1036,1134,1243,1476,1478,1488,1529,1708,1709,2212,2228,2684,2809,4071,4281,4384: 0,16,17,18,25,44,94,116,118,126,144,145,150,169,205,219,314,316,327,348,352,385,397,495,508,686,1036,1270,1416,1967,2011: 0,57,113,124,130,132,176,193,208,236,352,389,569,767,1503,1530,1546,1806,2081,2222,2818,3610,4077: 0,61,133,191,205,228,229,242,318,347,351,376,385,578,758,1349,1359,1490,2236,3190,3191,3779,4254,4307,4377,4487: 0,52,124,132,143,170,201,239,242,250,308,385,389,410,461,517,551,619,840,1184,1487,3648,3771: 0,26,60,62,97,118,144,192,205,226,314,317,318,385,394,402,496,817,1859,3185,3647,4279,4285,4597: 0,4,5,46,52,62,69,86,117,124,144,240,314,316,348,389,556,576,636,1036,1252,1672,1908,4346: 0,2,4,11,13,14,23,26,28,39,43,46,47,51,52,62,70,82,86,87,92,115,117,118,124,144,192,218,242,314,355,389,390,447,496,1026,1404,1456: 0,4,5,9,11,15,19,22,26,27,62,63,84,86,87,98,104,118,119,124,137,144,149,173,192,205,218,219,235,291,314,315,347,348,384,389,401,438,496,578,673,818,822,1390,4290: 0,6,15,24,30,45,52,124,132,144,177,205,231,300,335,385,388,389,412,456,564,578,613,629,635,662,685,695,727,849,952,1148,1154,1222,1445,1654,1768,2420,3157,3730,4317,4374,4381: 0,21,46,52,117,124,144,184,385,389,925,1254,1785,2882: 1,21,97,144,826,2177,2607,3188,4265,4307,4317,4333,4371,4373,4380,4418,4472,4504,4506,4509: 0,5,7,17,18,19,20,59,62,68,85,125,144,159,177,196,205,220,230,362,376,389,876,1680,3735,4245,4450: 0,80,97,101,102,119,124,136,144,237,238,385,389,578,675,740,820,1058,1122,1471,4254,4302,4307,4319,4371,4375,4377,4487,4495,4513,4514,4525: 0,37,61,119,135,136,212,238,287,301,307,354,389,399,578,623,679,715,716,734,1062,1130,1155,1223,2234,4023,4315: 0,52,121,144,174,205,314,352,385,389,498,577,675,1465,1476,1878,3210,3211,4523: 1,52,124,205,213,217,234,285,322,337,385,411,534,611,675,820,885,1058,1076,1121,1211,1225,1226,1601,1791,2012,2223,2241,2291,2293,2599,2775,3911,4053,4254,4263,4271,4302,4307,4371,4464,4505,4508,4512,4514,4525: 1,143,144,314,385,496,574,659,897,1036,1054,1420,1774,1820,4255,4270,4284,4300,4315,4318,4392,4431,4432,4504: 0,2,5,9,12,33,37,38,41,52,55,62,98,103,105,119,144,186,214,231,277,287,299,312,313,318,385,396,442,578,659,675,1045,1049,1050,1402,1470,2234,3208,3450,3743,4395,4488: 1,18,25,123,125,193,305,314,348,389,568,662,675,1296,2218,2528,4271,4272,4314,4379,4464,4645: 0,17,18,21,35,52,90,143,144,147,205,231,359,390,440,626,1191,1901,2593,3171,4464: 1,96,112,119,124,144,149,151,173,236,290,320,345,347,385,422,439,578,820,1039,1058,1122,1285,1471,1490,1906,2057,2216,2236,3188,3207,4254,4267,4307,4313,4317,4377,4487: 0,4,9,21,52,62,118,119,124,144,218,240,267,276,315,318,319,349,376,385,389,424,496,521,539,624,761,1036,1056,1463,1487,1488,2168,4255,4270,4316,4318,4382,4383,4392,4482,4490,4524,4526: 1,18,25,44,49,58,86,124,125,145,173,175,205,231,234,240,284,314,322,347,376,385,390,495,578,617,673,1036,1045,1465,1694,2039,2208,2216,2219,2231,4256,4315,4317,4380,4391,4503,4515,4516,4521,4527: 1,78,250,313,351,389,468,569,1795,4388,4423: 1,134,189,205,314,320,385,495,574,655,897,933,977,1036,1464,1474,2216,2237,2673,3143,3144,3350,3468,4256,4317,4318,4380,4392,4394,4464,4504,4515,4521,4527: 0,3,5,7,12,17,18,19,21,35,41,48,52,62,68,72,85,129,143,144,147,205,230,435,518,929,1015,1482,2228,4483: 0,3,4,9,21,52,60,62,67,119,124,129,143,144,205,240,267,276,302,319,435,521,525,539,929,1036,1482,1816,2228,2878,2879,4483: 1,124,173,213,234,337,385,411,535,611,675,724,820,1058,1121,1225,1226,1601,1791,2039,2217,2293,2775,4009,4183,4254,4263,4271,4307,4310,4315,4464,4514,4525: 1,78,112,119,124,352,370,385,499,504,578,735,820,1058,1122,1471,3188,3199,4164,4254,4302,4307,4313,4315,4317,4371,4375,4377,4444,4487,4513,4538,4591: 0,21,144,192,205,235,339,347,352,385,390,401,438,496,578,818,977,1045,1488,1643,2044,2225,2233,2238,3539,4269,4354: 1,52,144,193,205,289,314,348,385,484,568,1038,1731,2216,2528,4256,4267,4272,4283,4292,4312,4314,4317,4379,4380,4421,4464,4521,4652: 0,4,9,13,14,23,28,39,43,46,56,62,84,87,98,99,107,117,119,124,129,139,144,190,192,205,218,245,315,352,358,385,389,438,496,511,560,578,588,640,814,818,1041,1053,1064,1124,1128,1144,1263,2214,2925,4317,4334,4372: 0,6,8,16,17,18,52,94,103,126,144,205,273,304,352,385,397,475,675,1229,1230,1474,2126,2210,3690,4087,4188: 0,22,37,79,119,144,149,151,174,265,268,287,290,314,347,389,474,578,673,2213,2234,4261,4309: 1,52,62,98,214,289,347,385,389,496,514,575,578,655,675,814,818,1036,1056,1463,1487,1488,1777,2213,2216,2219,2233,2234,3208,4255,4260,4269,4270,4305,4315,4316,4317,4318,4328,4372,4382,4392,4464,4486,4488,4490,4522,4524,4526,4527: 0,21,62,110,144,160,161,171,205,210,217,247,250,272,303,314,334,365,376,389,404,405,451,452,462,592,622,861,902,1017,1036,1119,1220,1488,1787,1788,2286,2487,2591,2592,2922,2933,3169,3170,3509,4294: 0,4,5,7,9,18,20,59,62,64,65,98,119,124,125,144,149,173,177,205,298,347,375,385,389,578,607,814,876,1484,1886,2063,2216,3822,4185,4317: 1,49,54,86,124,129,132,205,240,314,322,352,435,493,495,572,617,1036,1465,1477,4510,4516: 1,84,87,119,124,149,173,176,192,218,235,259,315,321,322,347,389,401,438,440,466,496,578,816,818,1470,1474,1675,1814,2223,2467,2501,2502,2921,2973,4263,4304,4310,4311,4325,4350,4390,4488,4497,4503,4504,4604: 0,5,19,21,36,52,62,98,120,135,153,280,285,347,352,384,389,401,492,496,578,698,818,1045: 0,3,6,8,16,17,18,30,34,45,50,52,94,126,144,273,289,304,318,376,385,397,480,556,578,761,878,1229,1230,2214,2233,4116,4663: 0,3,4,9,13,14,22,52,62,86,92,115,119,122,124,132,144,149,158,160,168,170,173,176,178,179,183,240,250,296,314,319,349,376,385,389,466,529,556,624,731,881,1036,1488,1762,2233,4116,4663: 0,3,7,16,17,18,60,62,67,68,91,126,128,144,178,376,385,389,398,556,870,2430: 0,2,5,19,62,66,70,140,142,160,165,174,219,223,239,250,262,269,314,316,320,332,348,376,385,386,387,389,498,527,530,560,684,686,814,824,1036,1152,1488,1524,1529,1757,2028,2238,2461,4256,4317,4486,4527,4602: 0,17,18,52,58,144,205,318,320,375,385,389,470,560,819,821,1123,1227,1790,3214,4254,4307,4514,4525: 0,21,101,119,124,238,385,389,675,820,943,1058,1122,1471,1761,2470,4254,4286,4307: 1,21,177,385,389,578,826,1045,1266,1308,1466,1487,2225,2231,2607,3188,4307,4315,4317,4371,4408,4464,4487,4504,4506,4509,4521,4652: 0,117,119,124,190,283,472,578,887,1054,2214: 1,205,242,283,347,385,390,578,822,828,1076,1211,1234,2213,2216,2233,2234,2606,3188,3189,3363,4254,4262,4271,4273,4302,4307,4313,4317,4371,4377,4487: 0,4,9,11,22,26,52,53,62,63,76,84,86,87,117,118,119,124,141,143,144,146,190,192,205,218,246,271,314,315,318,385,435,440,496,510,1274,3745,4226: 0,2,4,19,51,62,70,74,86,87,98,109,113,118,124,132,144,173,186,192,193,197,205,219,234,235,314,318,322,347,352,385,438,440,503,578,673,745,1045,1054,2464,2625,2695,2739,2900,3302,3583,3840,4366,4374,4500,4503,4504: 0,4,5,9,11,21,22,26,27,52,62,63,80,84,86,87,98,101,118,119,124,136,137,144,192,205,218,237,238,291,314,315,348,384,385,438,496,578,673,675,740,812,818,1030,1372,1487,2173,3483: 0,4,62,124,128,173,178,222,287,320,389,424,670,816,1037,3752: 0,3,6,8,15,21,39,45,50,192,205,318,347,352,390,438,573,578,647,675,730,743,854,855,891,892,900,1052,1478,1571,1750,2842: 0,3,5,19,21,52,62,98,136,144,192,205,219,235,237,291,314,316,348,352,384,390,401,438,496,573,578,673,675,686,818,921,1036,1052,1478,1482,1965,2219: 0,7,12,16,17,18,48,52,60,62,67,68,91,114,126,144,326,389,390,398,518,675,1482,1965: 0,5,32,36,54,62,66,67,83,98,118,120,136,140,153,205,231,352,384,385,481,496,506,571,578,674,818,826,828,1043,1077,1085,1088,1480,1565,2149,2197,2207,2220,4448: 0,2,3,5,20,59,62,133,144,177,205,248,249,313,351,353,385,824,828,916,917,1169,1170,1439,1796,1798,3748,4388: 0,3,18,25,44,70,142,144,145,177,205,271,314,389,495,505,528,828,1036,1439,1790,4388: 0,22,31,57,86,113,119,121,124,130,174,193,205,208,234,277,314,352,385,389,498,828,2218,2241,4198,4657: 0,6,8,30,34,118,144,385,389,424,577,760,911,913,929,1474,2043,4258,4281,4519: 1,117,118,124,144,385,500,578,680,682,820,1058,1181,2214,4254,4302,4303,4307,4371,4373,4377,4487,4571: 0,23,28,39,43,47,51,61,87,124,132,165,172,177,186,192,205,218,339,349,382,389,438,456,496,529,578,712,731,818,1488,1643,2037,2082,2225,2395,2625,2655,3302,4269,4374: 0,3,17,18,85,90,125,159,196,205,230,318,362,385,440,626,690,728,779,976,1465: 0,3,16,18,25,44,94,145,205,226,302,314,318,385,440,444,495,525,678,845,976,1036,3300: 0,3,73,124,173,176,205,385,440,488,820,976,1058,1490,2236,4254,4307: 0,3,16,18,25,44,94,145,150,205,314,316,348,385,389,488,495,976,1036: 0,3,90,101,124,136,173,205,211,227,234,347,385,389,488,578,690,728,976,1045: 0,4,15,52,56,62,87,98,107,108,124,129,138,139,144,192,218,234,385,434,438,463,496,537,578,780,818,842,1045,1056,1365,1463,1496,3567,4233,4255,4270,4464: 0,4,5,11,26,27,32,53,62,86,87,117,118,124,144,177,178,192,205,218,291,314,318,348,352,384,385,496,504,828,841,1578,1579,2181,2220,2241,2529,2530,3646,4028,4259,4314: 0,3,53,61,76,84,87,117,119,124,190,192,218,235,284,291,309,315,349,381,384,385,386,389,390,401,438,496,578,624,818,822,878,1488,2177,2214,2233,2238,4183,4269,4388,4536,4566,4567,4568,4611: 0,3,61,124,173,212,284,307,309,364,381,385,389,603,2177,2233: 1,86,118,124,132,218,240,314,322,349,352,430,496,572,578,673,818,826,1036,1474,1483,1488,2215,2219,2220,4237,4269,4274,4276,4314,4374,4406,4464,4502,4503,4504,4569,4570,4612: 0,56,60,62,67,98,129,139,144,192,205,279,290,317,318,347,376,385,402,438,496,578,674,818,838,893,1045,1974,2039,2486,3500,3506,3953,4079,4464,4503: 0,4,5,9,19,22,31,52,53,62,76,84,86,87,98,103,109,113,117,119,124,144,190,192,193,205,218,219,235,279,291,314,315,348,384,385,401,418,438,496,503,504,568,578,673,675,814,818,824,878,1038,1041,1048,1052,1650,1808,2214,2221,2305,2436,2613,2641,2683,2714,2784,2819,2820,2821,3012,3256,4256,4317,4334,4372: 0,4,9,10,12,38,52,55,60,62,67,98,103,114,118,119,124,144,205,276,279,326,385,539,578,814,1668,1786,2714,3256,3506,4317: 0,4,10,12,15,52,62,83,124,132,176,205,385,441,443,448,569,1472,2126,2210,2222,3491: 1,16,18,40,42,87,117,124,143,192,199,205,218,270,284,309,318,321,332,339,349,352,385,445,496,569,570,576,599,693,712,1043,1046,1061,1106,1107,1108,1488,1748,1958,2123,2207,2225,2935,3961,4263,4271,4304,4315,4332,4484,4497,4507: 0,47,51,52,84,87,96,119,124,142,144,149,151,165,173,177,186,192,195,205,217,218,240,270,315,319,349,350,385,390,392,496,624,680,687,836,1036,1488,1491,1501,1548,1587,1588,1589,1590,1677,1748,2207,2215,2220,4259,4276,4657: 0,54,74,118,119,124,132,149,158,173,234,236,240,259,277,316,318,319,322,329,342,352,431,667,675,686,1036,1262,1472,2218,3106,3107,3554,4607: 0,7,17,18,19,25,26,35,40,42,52,62,68,69,104,116,118,144,147,156,157,177,192,219,235,297,314,359,385,401,415,496,675,1055,1157,1191,1465,4356,4640: 1,49,54,86,124,129,144,150,173,205,213,219,240,242,254,314,316,321,341,348,390,411,495,508,535,675,686,724,733,906,1036,1391,1487,1615,1900,4263,4310,4435,4594: