0,2,4,5,9,10,12,33,38,41,52,55,62,66,67,98,114,119,124,129,132,144,158,162,180,205,234,259,277,322,361,389,578,1042,1045,1509,1635,1684,2106,2126,2235,2269,2401,2415,2548,3155,3156,3832,4374,4422,4499,4503,4582: 0,4,5,9,52,56,62,75,84,87,98,107,119,124,129,132,139,144,158,181,192,218,245,263,291,315,384,389,438,494,496,578,665,769,818,1172,1373,3118,3331,4374,4391: 0,22,37,52,79,90,93,119,149,151,177,227,265,268,287,290,314,347,367,578,617,673,675,910,1147,2213,2234,3161,3428,3465,3726,4261,4309: 0,17,18,85,97,118,125,144,159,196,204,205,230,236,239,250,257,318,362,390,504,531,770,914,956,1784,1929,2233,3183,3908,4182: 0,6,8,24,29,30,34,51,52,54,87,124,132,166,192,207,291,322,346,352,385,572,575,642,656,669,675,817,1268,1382,2035,2344,2513,3000,3001,3246,4340,4394: 0,4,5,11,26,27,52,62,75,86,87,118,124,132,144,192,218,231,291,314,348,384,385,496,1479,2052,4123,4196,4359,4648: 0,5,62,102,141,144,146,192,246,258,288,291,311,352,373,384,389,477,496,577,631,649,1044,1055,1084,1273,2211,2992,3836,4033: 0,49,80,86,101,124,144,188,202,205,226,240,302,314,352,444,495,525,569,675,678,756,829,845,1036,1047,1487,1502,1591,1592,1863,2140: 0,6,8,24,29,30,34,77,89,119,124,129,131,132,144,158,167,180,205,234,236,259,277,322,361,385,389,481,487,919,971,1082,1161,1365,1492,1972,2466,2863,4166: 0,2,4,9,32,51,52,62,75,84,87,119,124,132,158,181,192,242,318,390,556,687,806,817,999,1032,1054,1678,1815,2042,2184,2400,2729,2875,3286,3719,4259: 0,31,52,74,97,113,118,119,124,129,132,144,149,158,173,191,193,233,234,242,259,277,322,329,347,503,559,568,575,578,632,681,1045,1366,1724,2015,2184,2588,2786,2900,3052,3053,3055,3525,4374,4503: 0,17,18,25,35,69,116,123,147,175,189,193,205,217,306,314,348,352,360,366,379,389,415,568,675,723,1819,2184,2210,2448,2588,3691: 0,61,96,119,124,149,151,173,212,242,286,290,301,307,318,347,354,364,370,371,385,440,465,499,578,603,623,715,716,734,735,736,954,1087,1215,1473,1500,1577,1849,3152,3153,3709,4300: 1,205,385,578,655,878,1494,2203,2214,2296,2393,2780,3151,3359,3826,4254,4271,4302,4303,4307,4315,4358,4371,4373,4377,4487: 1,205,236,385,494,578,655,878,1494,2203,2214,2296,2393,2780,3151,3359,3826,4254,4271,4307,4315,4348,4377,4378,4394,4400,4487,4496,4528,4530: 1,62,152,205,258,288,352,385,569,577,675,824,1036,1056,1463,2212,3410,3567,3837,4258,4318,4347,4392,4410,4463,4471,4540,4625: 0,52,133,144,150,205,231,279,314,316,318,348,351,352,385,419,495,532,533,575,916,917,1036,1410,1493,1578,1796,1798,1871,1998,2215,2453,3178,3179,3378,4002,4237,4314,4359,4627: 0,4,9,10,12,38,46,52,55,60,61,62,67,98,99,114,117,119,124,144,190,326,352,389,440,566,578,1053,1340,2214,2282,2583,3378,3539,4122,4454: 0,5,9,37,62,79,98,105,119,134,149,214,287,313,316,319,321,347,352,389,435,463,564,578,595,1036,1242,1542,1816,1861,2210,2213,2219,2234,2879,3681,4176,4522: 0,6,8,30,34,37,45,50,77,79,89,93,119,135,149,287,347,389,578,598,627,765,868,912,1860,2213,2234: 0,7,18,25,26,35,40,42,60,62,67,93,118,144,175,192,205,226,231,253,261,297,314,317,352,360,376,383,394,402,417,496,674,678,893,1327,1403,2210,3415,3422,3835,4194: 0,18,25,52,118,123,144,193,305,314,617,1046,1057,1276,1378,1749,2210,3224,3361,4066,4465: 0,3,90,144,205,227,254,290,331,347,352,421,436,502,569,576,578,614,974,1228,2101,2216,3587,3848,4208,4267,4317,4393: 0,2,3,4,5,19,36,47,62,66,88,120,124,132,144,176,189,205,218,243,254,352,384,389,401,421,496,506,569,571,698,974,2222,2720,3267,3848,4208,4393: 0,7,12,15,18,48,52,62,67,85,114,125,144,196,205,254,284,341,352,385,389,1300,2042,2174,3573,3922,4339: 0,2,4,5,10,12,32,33,38,41,52,62,71,80,98,101,124,136,144,205,237,264,292,342,389,504,578,826,1042,1862,2096,3114,3115,3326,3826: 0,2,4,5,10,12,19,33,38,41,52,62,72,98,124,144,173,178,234,278,344,347,352,389,567,578,973,1045,1360,1631,1727,1834,2325: 0,4,5,20,46,59,61,62,65,117,124,177,389,424,558,1261,2092,2380,2747,3102: 0,6,8,24,29,61,77,89,117,118,119,124,129,190,216,224,225,232,356,357,385,390,419,665,675,721,802,826,1186,1481,3777,3957,4129,4645: 0,6,8,24,29,30,34,74,77,89,118,119,124,132,149,158,173,217,234,259,277,311,320,321,322,329,385,389,439,1466,1842,1919,2187,3108,3109,3110,3421,3651: 1,119,124,144,149,173,178,240,319,347,385,389,569,578,680,683,1036,1039,1484,2216,2219,2244,2458,2804,3217,3373,4265,4306,4317,4318,4359,4392,4527,4618,4627,4641,4660: 0,3,4,9,11,19,22,26,52,62,63,84,86,87,93,104,118,119,124,132,144,158,192,218,219,235,259,314,315,322,352,383,389,401,496,572,656,676,682,1019,1391,1844,1946,1999,2662,2703,2751,3117,3776: 0,3,22,31,57,84,86,87,93,96,113,118,119,121,124,130,144,149,151,173,174,192,193,208,218,314,315,352,383,389,496,498,523,570,571,591,1019,1043,1391,1946,1999,3776: 0,4,10,12,52,60,62,67,96,114,124,143,144,148,173,205,234,236,326,389,483,681,768,810,2070,2186,2722,3269,3587,3684,4182: 0,3,4,5,9,61,62,84,87,98,119,124,144,149,173,192,291,347,352,438,578,634,646,702,710,726,778,791,920,975,1040,1167,1168,1541,1914,1929,2151,2209,2877,3851: 0,3,6,8,17,18,35,42,61,144,147,154,156,175,182,192,205,273,304,306,352,360,385,523,555,569,646,723,778,791,975,1040,1229,1230,1914,1929,2209,2618,3277,3851,3956,4016: 0,4,5,9,19,52,62,75,118,119,124,128,132,144,158,178,181,206,222,242,421,431,454,482,585,675,1013,1262,2749,3107,3611,4195: 0,15,17,18,25,44,54,116,125,144,145,159,169,188,202,205,226,284,302,305,314,327,352,379,389,444,495,525,678,845,1036,1502,1591,1592,1801,1863,2941,3205: 0,52,110,119,124,132,143,144,158,161,178,231,232,251,259,281,318,322,343,352,480,542,572,676,822,1193,1231,1232,1290,1947,3964: 0,4,5,19,20,59,62,65,124,129,132,144,177,180,220,234,322,389,569,663,668,999,1328,2351,3030,3031,3032,3271,3669: 0,4,5,52,62,124,132,144,205,218,236,240,252,258,313,316,346,384,385,496,577,683,1036,1385,1813,1856,2211,2212,2867,3370,4281: 0,4,5,11,26,27,52,61,62,73,86,87,118,124,173,176,184,192,205,218,241,291,312,314,348,384,496,504,575,675,687,1055,2193,3905,4218,4266,4271: 0,90,118,119,124,132,144,158,177,211,331,367,385,389,456,675,783,884,952,1760,4104,4294: 0,6,8,30,34,78,143,144,148,177,205,300,363,379,385,389,577,675,849,911,913,1100,2033,2233,4281,4297: 1,97,118,290,314,347,376,385,389,496,522,541,574,578,612,673,675,818,886,897,1036,1045,1129,1131,1192,1474,1488,1607,1777,2213,2216,2219,2225,2234,2765,4255,4256,4261,4267,4268,4269,4270,4294,4309,4317,4318,4328,4372,4380,4392,4395,4470,4486,4503,4521,4522,4524,4526,4527,4569,4612: 0,5,19,20,59,61,62,118,133,177,205,220,248,249,289,318,351,385,390,939,1169,1170,1795,1797,1857,2038,2108,3949: 0,52,133,143,144,228,229,236,351,440,675,976,995,1316,1465,1852,2110,3190,3191,3417,3625,4307,4351,4371,4373,4533,4541,4606: 0,4,52,62,66,80,98,101,124,136,143,205,237,340,385,389,556,578,604,687,717,826,976,1300,1316,1921,1991,2410,4125: 0,6,8,22,24,29,31,45,50,57,77,84,86,87,89,96,113,119,121,124,130,149,151,154,173,174,182,192,193,205,208,255,290,312,314,335,347,352,385,389,406,432,438,479,498,503,523,569,570,578,591,673,759,772,895,1038,1041,1214,1595,1596,1870,2216,2857,2858,2859,3238,3671,4256,4267,4317,4482: 0,4,5,19,62,86,87,98,109,113,118,124,144,173,188,191,192,193,202,218,219,235,291,314,347,348,352,384,390,401,438,496,503,556,568,578,669,673,782,817,818,829,1494,1543,1552,1679,1817,1887,1904,1949,2915,2970,3513,3873: 0,5,36,52,62,98,118,120,144,153,202,205,290,347,352,384,385,496,578,818,989,1057,1382,4167: 0,49,80,86,101,124,144,188,202,205,226,240,302,314,389,444,495,525,678,845,1036,1403,1502,1591,1592,3794: 0,57,70,86,113,124,173,174,191,193,197,205,314,346,385,388,389,675,677,990,1382,1495,1863,1887,4314,4379: 0,6,8,24,29,30,34,45,50,51,54,87,118,124,131,144,166,167,173,187,192,207,231,235,291,335,347,374,389,406,438,512,578,636,675,680,725,744,826,867,871,1001,1041,1081,1390,1398,1525,1551,1641,1665,1666,1683,1954,2216,2322,2353,2926,2949,4317,4345: 0,3,5,21,52,62,83,98,144,192,205,216,283,290,291,347,390,438,578,648,675,699,749,814,888,920,1005,1040,1041,1045,1142,1459,1487,1541,1563,1606,1748,1977,2054,2216,2877,3091,3092,4267,4317,4521: 0,3,21,22,31,51,52,57,70,84,86,87,113,119,124,174,192,193,197,205,216,283,314,370,371,390,465,499,523,648,675,773,1005,1040,1299,1459,1487,1977,2054: 0,3,5,7,18,19,40,44,52,62,175,199,205,216,283,316,384,385,386,390,401,496,675,686,773,1005,1036,1057,1299,1487,1488,1977,2054,2083,2238,2811,4316,4534,4542: 0,18,25,52,118,144,174,205,252,314,338,378,487,536,615,675,701,780,788,1008,1474,1487,3219,3695,4290: 1,52,62,67,98,144,352,385,494,496,514,525,578,674,675,814,818,1036,1194,1257,1474,1487,1488,1515,1608,1616,1723,2048,2219,2301,2731,2768,3438,4009,4260,4269,4274,4316,4317,4370,4372,4374,4380,4381,4385,4387,4390,4427,4485,4486,4503,4523,4527,4577,4655: 0,13,14,23,28,36,62,98,103,136,153,205,231,294,295,352,385,426,496,578,662,818,4057: 0,4,9,22,62,80,86,101,119,122,124,144,170,188,218,231,238,240,242,250,314,315,318,319,349,385,409,496,556,574,600,624,740,832,896,897,1014,1036,1056,1307,1463,1487,1488,2061,2190,2245,2459,2808,3806,4255,4270,4271,4318,4392,4524,4526: 0,6,8,24,29,30,34,46,77,89,99,117,119,124,131,144,167,190,191,216,224,225,379,389,811,856,857,1002,1305,1735,1845,2190,2384: 0,22,31,57,81,86,95,111,113,118,119,124,132,144,158,174,193,234,236,259,277,278,314,322,352,633,682,1017,1132,1733,1734,2055,2868,3103,3242,3626,4007,4367: 1,144,205,242,314,352,385,389,390,424,495,569,574,897,1036,1380,1464,2225,2235,2237,4279,4285,4318,4335,4352,4391,4392,4449,4473,4597,4658: 0,61,70,78,142,144,150,205,219,314,316,318,347,348,385,389,390,422,495,505,508,578,662,673,686,1036,1296,1474,2208,2219,3327,3982,4461: 0,6,8,24,29,52,75,77,89,119,124,132,144,154,158,181,182,205,289,318,385,390,474,483,765,1339,4200,4265: 0,70,81,86,124,142,144,173,178,191,205,219,240,314,316,347,348,352,369,440,498,564,578,651,673,681,686,765,1036,1267,1448,1757,1991,2219,2560,3877,4237,4385: 0,31,57,84,87,113,119,124,130,132,144,158,176,192,193,208,259,286,321,322,352,389,438,466,501,503,523,569,570,578,591,829,1302,1386,1487,1492,1849,3220,3832,4001,4092,4311,4374,4503: 0,6,15,21,24,30,52,96,97,124,144,173,205,234,300,318,322,389,494,629,635,695,727,849,942,1154,1222,1323,1365,1492,2027,2177,2233,2420,3157,3729: 0,46,52,57,86,113,117,121,124,130,144,174,193,205,208,314,341,352,389,498,1323,2162,3729: 0,6,8,24,29,30,34,45,50,52,87,102,118,124,131,132,144,167,187,192,234,235,291,322,335,352,385,389,406,412,426,438,578,613,685,703,744,871,967,1041,1045,1081,1148,1149,1185,1323,1551,1665,1666,1742,2235,2392,2917,2932,3149,3993,4317,4355,4374,4380,4381,4503,4521: 0,22,31,57,74,86,113,118,119,124,132,144,149,158,173,174,193,212,234,259,277,289,313,314,322,329,342,346,364,379,389,390,576,589,623,675,858,959,1156,1249,1745,1826,2231,2408,2686,3026,3027,3028: 0,52,62,133,141,144,192,193,203,228,229,242,246,248,249,271,278,314,351,375,440,459,460,532,533,745,784,908,909,934,1217,1481,1553,1872,1989,2047,2226,3989: 0,12,32,38,52,62,71,98,148,185,188,281,347,389,390,491,554,578,1045,1306,2531,3666: 0,5,7,17,18,35,44,52,58,62,68,129,144,147,152,163,169,175,205,231,306,312,316,352,385,470,569,637,661,714,765,766,1036,1178,1362,1416,2210,2827,2997,3356,3831,4217: 0,17,18,25,44,85,92,103,115,116,125,145,159,168,169,183,196,205,230,314,327,345,346,362,389,495,573,1036,1057,2475,2481,3874,4049,4164,4265: 0,86,97,113,124,144,193,202,205,212,217,301,314,321,348,364,379,389,390,465,499,568,677,1099,1156,1249,1495,2182,2440,2499,3158,3717,3732,3780: 0,5,12,38,41,52,62,69,98,118,136,144,202,242,284,352,379,557,578,989,1010,2195,3418,3542,3680,3950: 0,5,7,12,18,19,41,48,52,62,72,118,144,185,274,284,439,556,1276,1320,1870,1955,2195,3206,3418,3542: 0,4,5,36,52,54,62,88,120,124,132,144,218,322,352,384,496,572,1306,1362,3610,4348: 0,4,9,46,62,67,99,106,117,118,119,124,152,190,240,319,352,389,453,525,564,569,576,583,1036,1046,1290,1848,2210,2233,2389,2760,3137: 0,6,8,18,35,58,61,97,118,125,175,224,225,273,304,352,356,357,2235,4049,4088,4358: 0,4,52,53,62,86,87,97,108,117,124,127,135,138,192,194,218,242,312,314,385,428,496,504,556,574,675,697,788,830,897,1056,1141,1260,1380,1463,1505,1605,1611,1625,3090,4255,4270: 1,4,62,124,129,144,213,218,234,240,322,337,349,352,385,411,496,534,611,675,732,733,885,1036,1056,1125,1463,1466,1487,1488,1493,1615,1776,1791,2223,2240,2300,2709,2764,2810,2812,3186,4105,4255,4263,4270,4297,4304,4316,4318,4331,4332,4382,4383,4391,4392,4464,4490,4523,4524,4526,4594,4652: 0,2,5,7,12,16,18,21,33,41,48,52,62,91,118,144,389,419,478,1460,4201,4465: 0,4,5,9,22,52,62,75,84,86,87,97,118,119,124,127,132,144,158,181,192,194,218,291,314,315,348,352,384,389,479,496,544,602,783,839,973,1393,1634,1732,1839,2629,2659,2700,3507,3548: 0,7,16,18,40,42,56,62,129,141,144,146,192,242,246,389,496,605,1091,2229,2935,4315: 0,22,31,57,61,74,86,113,118,119,121,124,130,132,144,149,158,173,174,191,193,208,234,242,259,277,314,318,321,322,329,347,352,385,439,498,503,578,672,673,969,973,1045,1441,1487,2900,4374,4387,4503,4620: 0,144,192,203,205,216,242,302,317,318,347,350,352,385,390,402,415,438,496,525,578,674,749,818,873,888,893,1036,1039,1041,1098,1373,1468,1488,1606,2093,2182,2216,2219,2658,3167,3442,3461,3642,4269,4311,4317,4372,4398,4412,4417,4427,4486,4489,4527: 0,4,13,14,15,23,28,36,62,74,78,88,118,124,132,144,173,218,234,294,295,322,352,379,390,496,557,812,937,1395,1494,1931,1934,3525: 0,7,16,17,18,25,26,40,42,52,60,62,67,68,91,116,118,126,144,156,157,192,226,242,261,297,314,317,389,394,398,402,496,674,678,893,1157,1935,2225,3562,3658: 0,31,52,57,84,119,130,192,193,205,208,238,242,278,352,385,500,523,538,570,591,609,1296,2048,2201,3377: 0,37,69,90,119,136,144,227,232,238,242,287,309,367,385,399,493,569,578,675,679,829,894,910,991,1111,1147,1212,1938,2234,3377,4523: 0,3,52,69,100,113,124,132,144,176,193,217,232,289,385,569,594,970,1297,1487,1950,2222,3382,3389,3841,3929: 0,3,4,10,12,38,52,60,62,67,69,98,101,114,124,136,144,205,217,318,326,385,569,578,970,1294,1297,1487,1950,3389,3841: 0,2,12,32,33,38,52,62,71,98,136,144,205,281,385,569,578,580,582,590,616,826,943,1487,1493,1944,2089,3447,3562: 0,6,8,17,18,35,54,58,118,125,147,159,175,217,273,304,306,318,385,470,520,685,1229,1230,1278,1311,1704,1994: 0,13,14,62,98,133,143,144,228,229,248,249,251,290,320,340,347,351,352,385,424,468,469,578,681,717,1554,1556,1986,3465,3523: 0,4,13,14,23,28,39,43,62,73,87,118,124,144,173,176,192,205,218,231,310,496,675,742,747,808,822,1136,1150,1867,2474,2480,2587,2617,2645,3037,4183,4271: 0,12,13,14,38,52,62,98,129,144,177,216,347,389,578,797,989,1872,2182,2200,2333,2476,2482,2587,2763,3150,3358,4183: 0,4,5,9,10,12,41,52,55,62,117,119,124,129,144,189,190,231,352,379,385,500,569,675,721,826,924,1186,1636,1741,1887,2332,3443,3657: 0,16,18,25,69,174,308,314,348,352,385,415,619,961,1054,1443,1495,1746,1803,2431,3416,3538,4300,4520: 0,2,12,33,38,52,62,66,67,69,98,114,144,162,290,311,347,352,385,415,575,578,675,685,967,1934,2225,2270,2549,2909,3806,3919,3940: 0,2,4,5,10,12,32,33,41,46,52,61,62,66,71,117,124,129,162,320,389,432,573,1494,2272,2553,3913: 0,9,22,26,37,52,62,63,79,84,98,105,108,118,119,137,138,144,149,192,214,231,242,259,265,277,287,299,314,315,318,324,347,385,391,438,450,479,496,513,574,575,578,673,685,818,826,897,1045,1056,1202,1463,1687,2074,2213,2234,2239,2317,2836,2990,3372,4203,4255,4261,4268,4270,4328,4389,4395,4503: 0,5,7,16,17,18,19,40,42,62,68,91,102,126,144,156,157,192,205,235,291,352,384,385,389,398,401,432,496,631,774,1084,2468: 0,57,81,86,113,124,132,174,193,205,231,285,289,314,321,322,352,385,572,589,812,858,995,1046,1466,1517,1626,1736,1737,1846,2112,2789,4501,4520,4637: 0,4,5,19,53,54,62,86,87,109,113,117,118,124,192,193,218,219,235,291,314,348,352,384,385,389,401,496,568,753,768,809,829,932,957,965,1435,1480,1543,1552,1679,1817,1925,2225,2722,3269,4235,4315: 0,22,31,57,61,86,113,119,121,124,130,144,174,177,193,205,208,232,236,259,314,322,352,385,390,498,569,772,2283,2406,2449,2824,2825,3226,4019,4271,4459: 0,2,4,9,11,19,21,22,26,47,51,52,62,63,66,70,82,84,86,87,104,118,119,124,132,144,158,174,192,218,219,235,259,285,314,315,322,352,389,401,496,523,571,572,659,676,1051,1275,1279,1294,1475,4271,4315,4463: 0,18,21,25,35,44,52,97,118,144,145,150,178,205,219,314,316,348,385,390,495,508,686,770,792,998,1036,1692,3508,3910,3966: 0,2,5,7,9,18,21,22,25,26,27,40,42,47,51,62,63,70,82,84,118,119,192,238,274,291,297,312,314,315,348,352,384,389,432,496,792,1299,3910: 0,15,46,49,52,86,117,124,144,150,205,240,314,316,348,372,389,495,577,610,675,822,1036,1476,2027,2212,2807,3850,3989,4162: 0,2,4,13,14,39,43,51,53,62,70,86,87,92,113,115,117,124,144,192,193,197,205,314,385,389,440,458,489,494,621,745,829,1048,2173,3903: 0,18,23,28,39,40,42,43,44,52,85,125,129,168,183,192,196,199,205,321,350,390,432,494,496,529,731,843,844,1036,1163,1488,1493,4116,4292: 0,6,8,24,29,30,34,52,124,129,131,132,144,167,177,224,225,379,456,545,856,857,1487,1920,2134,3373,4296,4464: 0,4,5,46,62,86,117,124,144,160,170,177,179,236,239,240,250,258,262,314,316,348,349,372,376,386,389,577,610,746,907,1036,1134,1400,1476,1478,1488,1710,2212,2347,2684,2809,4384: 0,6,8,45,50,198,209,289,372,385,494,577,578,675,784,878,911,913,969,977,1009,1188,1452,1487,1492,1917,2214,3265,3408,3847,4504,4673: 0,4,5,7,10,12,18,19,35,38,41,48,52,58,62,72,74,98,118,124,125,132,144,173,175,205,234,320,322,347,385,481,520,578,642,656,826,1045,1305,1924,2326,2736,2900,3298,3436,4374,4503: 0,23,28,39,43,86,87,92,109,113,115,124,144,173,192,193,217,218,219,235,255,291,314,348,352,384,385,390,401,458,496,568,621,954,1051,2063,3375,3419,3813,3917,4084,4463: 0,13,14,52,62,118,152,168,183,236,385,569,586,587,675,713,783,814,1036,2216,4230,4317,4337,4409,4440,4527,4560,4675: 0,6,8,30,34,37,45,50,52,77,79,89,118,119,131,144,149,151,167,205,268,277,287,290,299,347,578,598,627,799,868,912,1045,2213,2234,3413,3489,3559,4309,4395: 0,2,5,12,32,33,38,41,52,62,71,98,136,205,237,242,264,292,388,389,504,548,561,578,675,1272,4013,4134,4391: 0,49,52,86,103,124,129,150,205,219,234,240,314,316,348,352,385,465,495,499,508,686,825,934,974,1036,1046,1275,2233,3403,3496,3522,4187,4504: 0,6,21,24,45,86,87,97,124,170,188,192,202,234,250,314,335,374,385,389,423,438,465,499,512,530,558,578,592,622,673,680,735,736,815,860,865,867,901,1041,1045,1119,1153,1220,1248,1619,1653,1719,2287,2308,2488,2594,2831,3172,3199,3200,4256,4315,4317,4521: 0,2,5,21,26,27,47,51,62,70,82,118,192,205,258,291,309,314,348,384,385,389,496,549,577,628,1044,1244,1324,1476,2079,2211,2241,2838: 0,4,54,62,67,87,98,118,124,173,192,218,240,241,313,347,374,385,389,438,496,512,525,578,642,645,674,680,725,814,818,893,1001,1036,1041,1151,1245,1473,1477,2216,2219,2605,2647,2726,2803,4296,4317,4372,4527: 0,16,18,52,53,61,94,117,124,144,212,301,307,318,341,354,364,376,385,603,675,762,1087,1215,1477,1500,1577,1656,1770,2064,3640,3742,4020,4300: 0,2,5,7,9,12,16,18,19,33,41,48,52,55,62,72,76,94,97,119,140,144,190,376,379,385,390,440,449,579,584,1478,1841,2240,2329,2379,2746,3101,4118,4679: 0,12,38,52,60,62,67,98,102,114,136,144,177,326,389,578,640,2225,3497,3953,4240: 1,314,348,352,376,384,496,498,577,643,674,678,812,1043,1476,1487,1493,1495,1703,2207,2211,2220,4281,4314,4349,4401,4426,4429,4430,4442,4501,4519,4529,4531,4532,4535,4537,4539,4545,4546,4547,4563,4583,4584,4586,4587,4588,4589,4590,4592,4593,4609,4615,4652: 0,4,5,7,18,25,35,44,52,54,62,85,86,98,124,132,144,160,170,176,179,199,239,240,250,262,314,316,345,348,349,352,376,385,386,530,531,578,601,673,812,814,815,1036,1047,1152,1371,1488,1645,1696,1774,2191,2192,2219,2233,2944,3184,3362,3363,4026,4256,4263,4269,4284,4311,4317,4330,4331,4332,4374,4381,4432,4433,4435,4436,4486,4489,4527,4575,4594,4598,4599,4600,4601,4604: 0,2,4,9,11,22,26,47,51,62,63,70,82,84,86,87,97,101,118,119,124,141,144,146,192,218,238,242,246,271,275,314,315,328,496,510,538,609,675,1330,1341,4025: 0,2,4,5,10,12,32,33,41,46,52,61,62,66,71,117,124,144,162,389,573,775,1930,2272,2553,3913: 0,7,12,18,35,48,52,58,62,67,114,118,125,144,175,352,389,520,565,569,817,829,976,980,1417,1472,3070,3300,3513,3547,4085: 1,62,98,129,231,352,496,514,578,675,814,818,1036,1037,1194,1257,1487,1488,1515,1536,1608,1616,1723,2219,2301,2731,2768,4260,4269,4274,4308,4316,4317,4372,4374,4380,4381,4387,4486,4492,4503,4516,4517,4527,4577,4649: 0,4,21,54,62,66,80,86,87,97,98,101,124,127,136,144,174,192,194,218,237,241,314,352,379,385,438,496,515,523,546,567,571,578,673,818,835,1925,2147,2187,2198,3717,3908,4056: 0,103,217,318,385,389,439,758,1017,2216,3188,3492,3740,4254,4307,4313,4317,4521: 0,21,90,124,211,216,227,234,322,374,383,385,389,578,680,690,728,1035,1045,1228,1719,1966,2354,2792,2907,2929,2962,3040,3743,4271,4315,4317,4380,4503,4521: 0,4,9,20,62,65,119,124,144,149,173,177,205,244,260,298,385,987,1056,1463,1881,2984,4094,4271,4315: 0,2,4,52,62,66,70,83,86,124,132,142,144,160,165,170,174,176,179,223,240,241,250,269,270,289,309,314,322,349,376,385,387,429,680,684,816,859,1036,1114,1115,1437,1449,1487,1488,1491,1495,1524,1529,2209,2210,2416,2558,3521,4419,4423: 0,2,7,13,14,16,17,18,62,68,91,118,126,143,340,389,398,933,1554,1556,2398,2839,3572,3933,4347: 0,2,7,17,18,20,21,32,62,68,83,85,125,144,159,177,196,205,230,353,362,389,687,828,837,876,1330,1680,1973,2455,3413,3426,3489: 0,52,69,119,124,132,144,158,178,189,205,215,257,283,385,407,437,455,472,497,578,675,827,862,1469,1701,2304,2373,2801,2814,2815,2816,3088,3222,3488,3581,3699,4324,4374,4518: 0,2,5,7,12,18,32,33,41,48,52,58,62,71,125,144,177,189,231,264,274,292,338,385,423,437,504,675,1054,3488,3699,3867: 0,49,52,86,96,118,124,150,173,177,205,219,234,240,290,309,314,316,347,348,389,437,440,495,508,566,578,673,686,988,1036,1045,1486,1980,2158,2208,2219,3312,4289: 0,6,21,24,45,86,87,124,170,192,216,234,236,250,278,314,322,335,374,376,423,438,512,530,558,578,592,622,673,680,815,860,865,867,901,947,1035,1041,1045,1119,1153,1220,1248,1619,1653,1719,1951,2287,2308,2354,2488,2594,2831,2907,2929,2962,3040,3172,3809,4256,4265,4271,4294,4315,4317,4380,4503,4521: 0,5,62,98,136,177,200,205,231,239,250,258,314,316,321,348,352,384,385,386,389,409,496,577,578,628,673,815,818,869,907,1036,1425,1429,1476,1488,2211,2212,2219,2432,2654,2694,2738,3301,3828,4269,4289,4384,4517: 0,6,8,30,34,77,89,97,119,149,166,207,352,376,385,675,1484,1986,1992,4265,4294,4391: 0,4,21,56,62,66,73,87,107,124,129,144,173,176,192,205,218,318,389,496,523,571,991,1042,2082,2412,3933: 0,4,9,21,22,52,62,86,110,118,119,122,124,144,149,160,161,170,171,173,176,179,205,210,240,247,250,251,259,272,296,303,314,319,322,334,336,349,365,376,385,404,405,451,452,462,466,542,558,592,597,622,624,688,704,705,706,711,738,816,861,902,1036,1119,1193,1220,1231,1232,1470,1474,1488,2286,2487,2591,2592,2973,3169,3170,3961,4112,4218,4250,4325: 0,9,19,37,56,62,81,84,98,105,119,129,136,139,192,214,235,237,238,242,245,284,287,289,315,318,321,325,381,385,399,401,422,438,440,450,496,513,566,578,679,681,740,818,954,1434,1472,1671,1793,2234,2239,2253,2334,2501,2502,2503,3099,4328: 0,4,9,56,61,62,73,84,87,107,108,119,124,129,144,149,164,173,176,192,205,218,245,315,385,466,489,496,569,760,842,1067,1463,1519,1520,2028,4188,4239,4270,4271,4315: 0,4,9,11,22,26,62,63,84,86,87,98,118,119,124,137,144,192,201,218,234,277,314,315,330,381,385,438,496,578,617,634,667,673,694,702,707,710,791,818,1037,1045,1063,1127,4142,4308: 0,4,5,10,12,41,52,62,124,132,144,176,345,352,385,569,799,1057,1318,1696,3761,3916: 0,3,4,52,62,96,98,106,118,124,144,152,173,221,240,290,347,385,420,569,578,650,800,826,978,1036,1463,1629,1718,1828,1888,2219,3039,4392,4540: 0,3,4,5,11,19,26,27,52,62,86,87,93,96,104,118,124,144,173,192,218,219,235,291,314,348,384,385,401,420,496,569,650,800,826,978,1888,2626,2657,3303,3436,3813: 0,6,8,18,30,34,42,131,134,144,167,175,192,205,224,225,235,273,291,304,318,379,385,390,569,675,856,857,1451,1480,1489,1751,2225,3603,3628,4394: 0,5,7,17,18,25,26,27,35,40,42,62,68,116,118,144,147,156,157,175,192,242,291,297,306,314,348,352,360,384,389,496,723,1157,2107,3620,3877,4163: 0,4,5,11,19,26,27,61,62,86,87,96,98,104,118,124,137,144,173,192,218,219,231,235,290,291,314,347,348,374,384,389,395,401,438,496,512,578,673,675,680,725,758,814,818,826,865,981,1041,2150,2165,2216,2647,2726,3042,3369,3874,3906,4256,4267,4315,4317,4372: 0,4,36,53,62,88,95,111,117,124,144,146,191,218,246,352,385,496,675,762,928,1092,1280,1302,1498,1561,1562,2151,3808,3854: 0,95,111,118,192,231,242,291,320,347,382,384,385,386,438,496,578,675,801,812,818,1488,1963,2028,2233,3038,3278,3928,4251,4269,4536,4566,4611: 0,2,7,18,21,25,26,35,40,42,47,51,52,62,69,70,82,97,118,141,144,146,192,246,271,297,314,359,385,496,510,826,986,1042,1433,1482,2370,3086,3311,3682: 0,57,86,87,103,113,121,124,130,132,143,144,174,192,193,208,286,309,314,352,389,390,412,438,498,503,523,570,578,591,613,667,673,685,703,708,771,1038,1041,1066,1146,1171,1176,1184,1939,2414,2887,2888,3245,4256,4317,4337,4374,4381: 0,4,5,9,52,62,118,119,124,132,158,216,218,240,259,315,316,319,322,352,384,385,496,572,645,676,1035,1036,1042,1421,1492,2433,2669,3218,3351,3750,4146,4192,4271,4315: 0,2,4,11,26,47,51,62,66,70,82,83,86,87,95,98,111,118,124,137,173,174,192,218,241,314,347,385,438,496,523,571,578,650,673,799,818,859,1074,1115,1475,1495,1582,1583,1629,1718,1748,1828,2207,2312,2619,2646,2687,4300: 0,69,86,96,113,124,132,144,193,234,240,242,256,314,316,322,348,385,568,823,1036,1284,3516,3900,4213: 0,3,5,19,20,59,62,64,98,136,144,177,205,220,258,376,385,490,577,578,628,720,812,1034,1282,1346,1396,1406,2057,2121,4084: 0,3,53,112,117,124,144,177,205,385,490,820,968,1034,1058,1282,1346,1396,1406,1490,2057,2121,2179,2236,4084,4254,4307: 0,3,112,136,144,177,189,205,237,385,490,569,578,968,1034,1282,1346,1396,2121,2179,4254,4302,4307,4371,4377,4487: 0,3,52,112,136,144,189,192,193,205,291,314,348,384,385,389,438,496,503,568,569,578,673,677,818,968,1034,1099,1282,1346,1396,1467,1495,1563,1748,1809,2179,2207,2418,2499,2822: 0,6,22,24,30,45,51,52,70,77,84,86,87,101,119,122,124,131,136,144,149,166,170,173,192,219,234,235,238,239,250,277,286,291,314,347,348,376,385,389,423,438,527,578,673,675,684,815,1045,1153,1248,1288,1421,1653,1861,1966,2603,2604,3419,4176,4229,4271,4315: 0,100,133,155,192,193,228,229,289,314,321,351,385,389,459,460,468,469,501,532,533,569,618,786,908,909,1357,1487,1586,2575,3715,4118,4616: 0,3,52,53,76,117,119,124,186,190,205,318,385,389,476,656,820,1058,1122,1392,1465,1471,1822,2233,4106,4254,4302,4303,4307,4315,4319,4351,4371,4373,4375,4472,4495,4505,4508,4513,4514,4525: 0,3,52,101,124,136,173,186,205,234,318,347,385,389,476,578,656,820,1045,1058,1392,1465,4106,4254,4302,4303,4307,4315,4351,4371,4373,4377,4472,4487: 0,6,8,22,24,29,31,61,77,86,89,113,119,124,149,173,193,205,224,225,314,356,357,390,552,681,748,1051,1451,1489,1572,1640,1752,1852,2158,2524,2692,2795,2799,3066,3164,4517: 0,37,61,79,119,149,212,277,287,299,301,307,347,354,389,390,555,578,623,715,716,734,1045,1062,1130,1155,1223,1436,1935,2107,2213,2234,3613,4391,4395: 0,14,52,54,61,62,98,144,216,252,318,347,383,385,578,675,749,760,800,814,888,1014,1035,1142,1246,1348,1487,2216,3618,3640,4317: 0,96,103,124,129,144,170,173,205,250,290,318,347,349,374,389,390,529,530,578,680,725,731,815,1051,1383,1474,1488,1619,1762,1888,2216,3042,3744,4267,4269,4317,4369,4486: 0,4,20,62,64,65,97,98,101,124,136,144,177,244,385,390,544,578,826,1067,1277,1463,4271,4315: 0,4,5,9,19,22,53,62,76,86,98,117,118,119,122,124,144,160,170,179,190,205,219,239,240,250,262,296,314,316,319,348,349,376,385,386,476,527,549,578,601,624,673,686,815,878,1036,1339,1394,1427,1488,1622,1840,2214,2219,2238,2299,2378,2461,2670,2701,2745,2772,3100,4269,4466: 0,3,52,119,122,124,132,158,170,204,205,215,216,234,239,250,257,259,277,322,407,578,815,827,929,1045,1394,1479,1622,1840,1916,2225,3457,3679,3737,3739,4374,4503: 0,3,18,40,42,52,144,192,199,205,332,339,389,445,496,570,599,929,1043,1358,1394,1479,1488,1790,1916,2225,3457,3679,3739,4248: 0,118,124,129,170,204,205,215,234,239,250,257,385,389,415,463,537,578,815,826,827,1045,1966,2072,3006,3251,3366,3409,3685,3753: 0,57,118,174,193,201,242,289,290,314,347,389,422,503,578,589,673,826,858,1045,1487,2916,3375,4142,4477: 0,52,102,111,118,124,144,173,215,257,282,385,390,1522,1758,1932,4052,4188,4205: 0,4,9,62,101,110,118,119,124,143,161,171,231,238,242,246,247,251,340,440,542,597,604,1290,1661,1930,3197,3886,4360,4388: 0,60,62,67,98,118,191,192,193,317,347,388,389,402,438,496,502,503,578,630,674,818,893,1159,1305,1319,3168,4494: 0,6,8,24,29,30,34,52,87,93,124,132,144,178,192,232,291,322,352,389,572,638,675,955,1309,1331,1460,1472,1649,1807,1893,2435,2518,2519,3818,4231: 0,2,4,52,62,66,118,124,128,132,144,178,222,321,322,352,385,572,581,1030,1532,1866,2172,4271,4315,4389,4635,4674: 0,4,9,11,22,26,52,60,62,63,67,84,86,87,118,119,124,132,149,158,173,192,205,218,226,261,311,314,315,317,318,385,394,402,467,496,674,675,678,893,1187,1239,4190,4275,4354,4653: 0,4,5,11,19,26,27,52,62,69,86,87,98,104,118,124,137,144,173,192,218,219,234,235,258,288,291,314,347,348,352,384,389,401,433,438,474,496,577,578,656,659,673,818,1044,1045,1476,1856,2211,2577,2838,3859,4122,4258: 0,53,69,70,86,117,124,143,174,205,314,352,385,389,478,817,1347,2048,2189,2500,3354,4314: 0,4,5,10,12,19,41,52,62,72,73,124,144,173,176,205,242,385,389,390,433,675,762,2189,3354,3766: 0,46,52,117,118,124,144,170,239,242,250,308,389,410,433,461,478,504,517,548,619,840: 0,4,11,26,52,60,62,67,86,87,118,124,144,192,218,226,234,261,280,285,314,317,385,390,394,402,425,496,546,674,678,816,893,1138,1259,1725,1911,2313,2622,2650,2690,3060,3896,4628: 0,22,31,57,86,95,112,113,119,124,129,132,158,174,180,193,205,217,234,259,277,314,322,361,385,390,773,1329,1473,1481,1487,2102,2218,3468,4292: 0,2,5,9,37,62,98,105,119,142,190,214,287,316,319,345,389,473,540,578,595,675,834,1036,1057,1083,1162,1203,1345,1676,2214,2219,2234,2374,2975,3650,4271,4280,4315,4414,4491,4522: 0,6,8,24,29,30,34,45,50,87,96,124,144,173,192,290,291,347,352,438,440,578,810,930,955,971,978,1649,1807,2435,3570,4265: 0,4,5,9,22,46,62,86,99,110,117,119,122,124,160,161,170,171,179,190,210,239,240,242,247,250,251,262,272,296,303,314,316,319,334,348,349,365,376,385,386,389,390,404,405,451,452,462,542,597,624,688,704,705,706,711,764,1036,1329,1488,1493,1711,1787,1788,2348,2922,2933: 0,2,5,7,12,16,17,18,32,33,41,48,52,62,68,71,126,144,252,264,292,489,500,504,518,675,4062: 0,3,53,100,113,117,124,144,193,217,385,389,482,594,1024,2155,3494,4157,4210: 0,3,46,57,86,113,117,124,144,174,193,217,314,385,389,482,615,701,1024,1118,1210,2155,3494,4157,4210: 0,4,5,10,12,41,52,53,62,117,124,129,144,258,372,385,425,577,687,718,746,1134,1188,1478,1710,2154,2228,3440: 0,22,49,52,86,101,119,124,144,205,238,240,242,266,275,314,318,319,328,385,389,495,538,574,609,897,1036,1432,1464,2237,3826,4318,4392: 0,2,4,9,32,52,62,67,75,119,124,132,142,144,158,178,181,205,240,319,345,439,525,540,606,638,834,889,890,1036,1057,1071,1208,1412,1430,1432,1533,1537,1676,1747,1934,2215,2338,2547,2672,2755,3339,4169: 0,2,4,5,9,52,53,62,66,67,76,83,102,117,119,124,140,142,144,178,186,190,205,240,316,319,345,385,387,439,525,540,606,638,834,889,890,1036,1047,1071,1072,1083,1208,1412,1430,1432,1491,1533,1537,1676,1747,1757,2262,2338,2421,2451,2534,2535,2672,2755,3339,4169: 0,4,5,15,19,56,62,87,107,124,129,134,144,192,217,218,235,263,291,318,325,369,379,384,385,401,496,687,990,1005,1993,2227,2974: 0,2,4,5,19,47,51,56,62,66,80,87,97,98,101,107,124,129,136,139,140,172,192,205,218,235,237,263,291,293,325,345,352,384,389,401,438,496,523,570,571,578,818,824,1043,2412,3504,3754,4271,4315,4347: 0,4,5,19,52,62,75,106,124,132,144,152,163,240,316,489,509,569,686,1025,1036,1993,1994,2227,3395,3606,3633,4003,4225: 0,52,75,90,124,132,144,211,389,489,526,787,1477,1992,2217,3395,3606,3633,3897,4003,4225: 0,5,7,12,16,18,41,48,52,62,94,144,205,318,352,385,417,760,1050,1474,3451,4166: 0,22,31,52,119,134,144,149,164,193,205,314,318,385,389,424,466,574,620,689,897,1854,2091,2217,3237,4639: 0,9,12,37,38,52,55,62,67,98,105,114,119,143,144,205,214,277,287,299,352,385,396,442,578,1045,1399,2234,3528,3845,4135,4389,4395: 0,22,86,101,103,119,124,136,205,218,238,240,314,315,319,349,352,385,389,496,525,578,624,673,674,678,818,1036,1399,1474,1488,2219,3696,3761,4175,4269,4389,4427,4569,4570,4612: 0,18,35,52,90,118,134,321,331,359,389,390,400,526,614,626,1288,3561,4449: 0,2,7,18,32,62,66,83,98,118,136,214,274,282,289,352,385,390,433,480,546,578,675,679,1288,1632,1644,1802,1837,1981,2234,2297,2584,2805,2806,3075,4220,4246: 0,4,5,10,12,19,38,41,52,62,72,98,124,144,173,321,347,352,385,390,475,578,763,1288,1425,1998,2166,2716,3262: 0,7,13,14,17,18,23,28,36,40,62,68,157,205,294,295,352,385,390,496,519,817,928,948,1166,1422,1442,1790,3214,3619,3800,3987,4271,4315,4464: 0,5,20,59,62,133,177,205,228,229,242,248,249,351,352,385,468,469,825,1169,1170,2225,3509,3769,3800,3987,4271,4501: 0,2,47,62,66,70,110,142,165,171,174,210,223,231,241,242,250,269,303,314,336,365,382,387,389,390,403,405,409,496,571,675,684,737,1036,1488,1523,1528,1903,3693: 0,90,118,144,227,312,314,347,352,385,574,578,673,690,728,829,897,955,1336,1968,2036,2145,3666,4204,4271,4315: 0,3,52,57,61,130,144,193,208,284,352,385,503,504,556,578,829,982,1000,1012,1045,1473,2903,3785,3920: 0,3,5,7,12,16,17,18,41,48,52,62,68,118,126,144,205,255,385,518,556,826,879,982,1000,1012,1190,1383,2576,3508,3785,3920,4198: 0,49,52,86,97,124,144,150,173,205,219,240,314,316,347,348,352,429,495,508,578,666,673,686,826,889,982,1000,1036,1374,1380,1383,1436,2208,2219,2225,3126,3342,4667: 0,13,14,23,28,36,52,54,62,102,110,118,144,171,242,255,294,295,336,352,368,385,403,429,439,496,566,789,803,1164,1374,1722,1831,1988,3893: 0,4,5,10,12,19,38,41,52,62,72,96,97,98,124,144,172,173,290,347,385,431,475,500,578,1383,1411,2568,3017,3018,3261: 0,2,4,13,14,23,28,39,43,47,51,56,62,78,87,98,107,112,124,129,139,144,192,205,218,234,293,352,379,390,438,494,496,511,578,588,818,826,934,982,1000,1010,1045,1425,2013,2903,3843,4091,4501: 0,47,51,57,70,86,87,101,112,113,124,129,136,144,174,192,193,197,205,218,314,390,438,494,496,503,523,571,578,673,677,818,826,982,1000,1010,1493,1495,1593,1748,1809,2013,2118,2207,2220,2418,2585,2822,2823,3439,3867,4062,4259,4314,4379,4501: 0,4,9,10,12,38,46,52,55,62,67,98,99,114,117,119,124,144,190,205,389,488,578,1042,1053,1295,1509,1635,2214,2235,3764,3958,4499: 0,4,5,10,12,21,41,52,53,62,78,117,118,124,129,144,352,376,379,385,427,484,667,934,3746,3843,4091: 0,16,18,25,44,52,70,91,142,143,144,145,150,184,186,205,219,253,314,316,348,389,495,505,508,686,851,1036,1380,3934,4194: 0,4,5,11,19,26,27,46,52,62,86,87,98,104,117,118,124,137,144,148,186,192,218,219,235,291,314,348,379,384,389,401,438,496,578,648,673,675,682,818,1028,1053,2214,2315,2366,2625,2655,2695,2739,3071,3302: 0,52,124,144,205,218,241,313,376,385,465,485,496,499,674,675,826,1021,1040,1350,1373,2157,2605,3175,3309,3360,3824,4680: 0,6,8,45,50,52,61,102,136,144,205,216,224,225,253,335,344,356,357,406,502,569,578,648,749,1460,1962,2149,2905,3720,4271,4277,4315,4317: 0,3,4,60,62,67,69,73,106,124,152,173,176,205,240,302,320,385,389,525,569,583,652,1036,1336,1558,1924,2010,2017,3537,3554,4244: 0,3,4,46,62,67,106,117,124,152,205,240,320,389,525,569,583,652,1036,1336,2010,2017,3537,3554: 0,6,8,24,29,30,34,45,50,117,118,124,144,352,385,578,721,763,826,2126,2214,3373,4022,4415: 0,2,3,4,5,10,12,33,41,52,62,66,67,101,114,124,144,162,205,352,385,763,826,1042,1419,2126,2269,2401,2415,2548,3155,3156,3380,3381,3464,3480,3820,4022: 0,3,4,5,10,12,19,41,52,62,72,124,144,173,205,234,389,1042,1419,3380,3381,3464,3480,3820: 0,93,108,138,144,177,192,201,290,347,352,385,389,438,569,578,608,995,1032,1488,1913,3605,4269,4524,4526: 0,2,4,5,46,62,117,118,124,142,144,216,240,242,316,345,389,540,606,834,1036,1047,1083,3972: 0,2,5,7,12,16,18,32,33,41,48,52,61,62,71,94,144,184,242,264,292,385,390,504,569,1419,2173,3479: 0,52,53,117,118,124,144,205,281,321,342,352,385,413,428,556,566,791,820,1058,4254,4307,4523,4538,4591: 0,4,5,46,62,106,117,118,124,144,152,163,205,240,316,341,389,502,569,1007,1036,1430,2278,2382,2571,2572,2750,3112,3323,3619,3975: 0,52,57,74,113,118,124,130,132,144,173,193,208,216,217,234,322,352,430,669,675,1017,1847,1893,2387,3127,3128,3129,3130,3446,3528,4063: 0,4,5,52,62,86,98,124,144,173,205,240,314,316,347,348,352,556,578,673,817,1036,1252,1362,1382,1392,1493,1672,2044,2091,2219,2851: 0,49,52,80,86,97,101,118,124,136,144,150,187,205,237,240,253,314,316,348,417,495,569,578,673,923,993,1036,1201,1327,2041,2089,2208,2219,3072,3971: 0,4,9,11,13,14,15,22,23,26,28,39,43,46,62,63,84,86,87,92,99,115,117,118,119,124,144,190,192,218,289,314,315,355,389,447,496,556,564,1393,1848,2389,2707,2760,3137: 0,6,8,24,29,30,34,77,89,102,119,124,129,132,144,158,180,231,234,259,277,278,322,361,378,552,675,748,1033,1198,1199,1200,1911,2056,2095,2364,2438,2795,2799,2826,3227,3661,4111,4177: 0,4,62,66,87,102,124,132,192,218,231,385,389,496,523,571,631,874,1055,1387,1487,1875,2017,2176,2209,2495,2496,2497,3818: 0,22,52,70,86,118,119,124,144,231,314,348,371,378,385,390,465,480,552,748,2102,2692,3219,3730,4203: 0,3,4,20,62,65,124,129,132,176,177,205,318,569,1037,1075,2031,2222,3459,3578,3720,4253: 0,3,15,49,69,78,86,124,129,132,144,150,177,180,205,234,240,314,316,318,322,348,433,495,569,1036,2031,3459,3578,3720,4253: 0,6,8,18,35,52,144,175,205,273,304,352,360,385,569,691,729,779,786,833,898,1388,1432,1944,3749: 0,18,23,28,39,40,42,43,44,52,118,144,168,183,192,199,205,318,344,350,390,496,501,502,529,543,731,843,844,1036,1163,1237,1488,1609,1617,1939,2077,2339,2627,2769,3082,3367,3703,3868,4101: 0,8,29,34,50,52,53,76,89,117,119,124,144,178,190,216,283,352,385,389,472,479,578,637,645,670,878,887,1516,1925,2198,2214,3382,4138: 0,21,54,62,66,98,136,174,223,250,289,314,387,389,436,496,571,578,673,815,818,858,1036,1487,2219: 0,21,52,54,118,136,144,205,289,384,385,389,390,496,578,796,818,1467,1494,2189,2207,2902,3860: 0,62,118,144,252,258,288,352,385,577,1037,1189,1246,1368,3486,3624,4258,4281,4519: 0,4,11,21,26,52,62,86,87,96,98,118,124,137,173,192,201,218,236,290,314,330,347,385,438,496,557,578,608,617,673,694,818,880,1037,1368,2049,3885,4308: 0,6,15,30,37,45,77,79,118,119,144,149,277,287,299,311,347,389,390,578,598,627,629,635,695,727,1045,1356,1654,1655,1768,1769,2213,2234,2309,2674,2832,3181,3853,4219,4395: 0,51,52,53,57,70,86,87,113,117,124,144,174,192,193,197,205,291,314,348,352,385,390,440,523,568,665,672,675,1413,2206,2682,2783,3250,3407,3730: 0,3,6,8,21,24,29,30,34,45,50,81,95,111,124,131,132,144,167,178,224,225,379,385,455,578,856,857,1368,1407,1487,1937,2206,3871,3995,4065,4264,4324,4374: 0,3,4,21,62,81,124,178,218,240,267,276,349,379,385,389,496,1036,1056,1368,1407,1463,1487,1488,1937,3871,3995,4065,4255,4264,4270,4316,4318,4382,4383,4392,4490,4524,4526: 0,2,3,5,7,12,17,18,32,33,41,48,52,58,62,68,71,144,242,264,292,352,470,504,518,569,672,808,1877,1965,3802: 0,3,52,124,132,144,170,176,205,223,239,242,250,308,352,389,410,461,504,517,569,619,672,684,808,840,1070,1207,1746,1877,1965,2222,2411,3802: 0,119,124,132,144,158,176,178,191,205,259,289,318,322,385,466,556,561,578,816,1470,1487,2891,3124,3125,3176,3340,4300,4305,4311,4317,4374,4380,4381,4419,4426,4429,4430,4442,4452,4483,4488,4489,4503,4576,4652: 0,6,8,24,29,45,50,61,86,113,124,132,193,224,225,280,314,322,335,343,352,356,357,379,382,385,406,412,503,572,578,613,673,685,687,708,812,1038,1146,1148,1149,1247,1572,1652,1742,1752,1852,2061,2231,2524,2828,3164,3680,4256,4274,4317,4374,4380,4381,4503,4577: 1,124,213,218,234,236,337,352,411,496,611,675,732,822,1125,1791,2174,4263,4304,4308,4360,4458,4502,4504,4610: 1,231,289,376,385,576,675,1472,1487,1504,1639,2209,2216,2225,3094,3188,4254,4283,4302,4303,4307,4313,4317,4333,4357,4371,4373,4381,4455,4459,4501,4504: 0,47,51,87,101,124,142,165,189,192,195,218,240,242,269,275,321,328,349,350,387,389,390,392,439,496,523,571,675,1036,1046,1073,1488,1858,1980,4390,4504: 1,119,124,132,158,205,259,322,352,385,415,440,572,578,676,820,1048,1058,1122,1471,1486,1490,2210,2235,2236,2779,4254,4274,4300,4307,4321,4327,4362,4374,4376,4377,4422,4445,4487,4499,4503,4582,4619,4653: 0,17,18,25,35,116,123,147,175,193,306,309,314,352,360,366,389,675,723,758,1973,2235,3482,4314,4379,4406,4407,4504: 0,13,14,23,28,39,43,52,56,62,98,129,139,144,192,216,242,256,290,347,352,358,389,438,496,511,578,588,749,814,818,888,1008,1041,1045,1142,1606,2216,2658,3091,3092,4267,4290,4317,4347,4372,4374,4380,4381,4503,4521: 0,96,124,173,205,234,290,347,385,390,427,578,675,820,1045,1058,1093,1095,1218,1219,1465,1474,2100,3567,3728,4100,4254,4307,4377,4487: 0,100,109,144,155,191,193,219,242,314,348,385,389,435,568,577,593,625,863,1243,1476,2100,2171,3572,3904,4281: 0,5,7,9,12,16,18,19,41,48,52,55,62,72,76,94,118,119,144,190,191,217,385,687,1213,1841,2235,2240,2329,2379,2746,3101,3560: 0,57,74,86,113,118,124,132,144,173,174,193,234,314,322,345,385,420,439,576,752,1047,1447,1485,1729,1730,1804,1836,2097,2174,2404,2696,2813,4093,4291,4353: 0,6,8,24,29,52,124,129,132,144,154,182,205,322,352,379,389,572,1953,2230,3401,3631,4504: 0,18,40,42,84,85,119,144,192,199,205,236,270,284,291,315,339,341,352,384,386,466,494,496,555,599,624,693,769,790,1079,1467,1472,1488,1563,1564,1748,1841,2025,2207,2225,2240,2251: 0,2,5,36,47,52,62,98,120,144,153,243,290,347,352,384,389,496,578,675,814,818,1165,1447,2050,2216,2235,4024,4267,4317,4372: 0,22,31,86,100,109,113,118,119,124,144,155,193,219,242,252,259,314,322,348,420,431,439,568,576,752,850,1262,1447,1567,1804,2050,2813,3106,4093,4353: 0,4,5,19,52,53,56,62,87,98,107,117,118,124,129,139,144,192,218,235,242,263,291,325,358,384,385,401,412,414,438,496,578,685,703,752,814,818,878,1041,1447,1518,1614,1637,1743,1938,2050,2097,2214,2221,4317,4334,4353,4372: 0,16,18,52,91,144,204,205,239,250,257,286,333,385,389,497,527,531,652,684,914,988,1400,1403,2383,2603,3116,3328: 0,4,5,10,12,41,46,52,62,117,124,144,258,352,372,389,428,577,610,718,1950,2205,2271,2551,3616,4073: 0,5,19,26,27,52,54,62,104,118,144,192,219,235,280,291,314,348,378,384,401,496,569,926,1224,1241,1255,1623,1627,1705,1766,1775,1794,1852,2134,2310,2608,2637,2837,2998,3174,3925,4271,4315: 0,49,52,86,97,101,124,144,205,240,242,275,280,284,314,328,378,385,390,495,574,661,675,770,897,1036,1464,2237,4013,4271,4315,4318,4392: 0,4,5,10,12,38,41,52,62,80,98,101,124,136,177,205,236,237,389,558,578,809,988,1324,1685,1697,1864,3312,4651: 0,5,7,12,16,18,41,48,52,61,62,91,144,318,345,389,417,1057,2264,2540,3630,3855: 0,46,49,52,86,117,124,150,205,240,286,314,316,348,352,389,495,675,1036: 0,2,4,5,10,12,32,33,41,52,62,71,111,124,132,144,176,205,241,264,292,322,504,569,683,1302,1850,2128,2969,3621,4134: 0,4,5,11,26,27,62,83,86,87,118,124,192,205,218,234,291,314,348,352,384,496,699,1074,1357,1371,1467,1495,1499,1563,1748,2207,2499,3391,3424,3617: 0,4,53,56,62,87,107,108,117,124,129,138,144,192,205,218,242,352,376,385,496,760,842,1056,1463,1496,1889,3712,4181,4255,4270: 0,21,26,62,98,103,118,137,144,192,231,290,314,347,385,438,490,496,575,578,592,622,673,818,860,861,901,902,1055,1474,1597,1763,2288,2489,2912,3429,3978,4042: 0,4,11,21,26,53,62,86,87,117,118,124,144,192,205,218,314,385,414,496,592,622,860,861,901,902,950,958,1474,1481,1597,1763,2142,2288,2489,4195,4286: 0,4,36,46,62,69,88,117,124,144,146,205,218,242,246,321,352,389,496,928,1026,1092,1498,1561,1562,1930: 0,2,5,19,26,27,47,51,62,70,82,98,104,118,137,144,192,205,219,235,290,291,314,347,348,352,384,389,401,438,496,578,673,675,803,818,927,3638,3684,3912,4103: 0,2,47,62,98,142,177,191,241,242,290,347,496,504,578,647,675,683,818,1036,1429,1813,1967,2219,2866,2911,3565,3949,4504: 0,2,4,19,47,51,56,62,87,107,124,129,132,143,144,173,176,192,218,231,235,293,325,401,496,556,675,881,980,1322,1895,2233: 0,47,51,87,96,118,124,142,144,165,173,192,195,205,218,233,234,240,242,270,349,350,389,390,392,434,496,564,658,687,836,1036,1488,1491,1501,1548,1587,1588,1589,1590,1748,1905,1984,2207,2215,2220,2356,2648,2971,3044,3045,3046,3284,3962,4259,4276: 0,2,4,5,19,36,47,62,88,96,120,124,143,144,173,218,234,243,352,384,389,401,434,496,698,1905,1984,2356,2648,2971,3044,3045,3046,3284: 0,74,90,97,118,124,132,144,148,173,211,233,234,321,322,331,400,526,547,614,803,1385,1566,1984,3893,4171: 1,62,118,129,144,216,289,352,385,389,496,504,514,675,814,1036,1056,1450,1463,1487,1488,1731,4255,4270,4283,4312,4316,4317,4318,4372,4380,4382,4392,4421,4486,4490,4521,4524,4526,4527,4632,4636,4646: 1,96,124,173,213,234,322,337,385,411,534,535,611,675,724,885,1791,2223,2999,3180,3204,3837,4084,4263,4310,4376,4434,4443,4605: 0,22,49,52,86,96,119,124,149,151,173,205,240,242,266,290,314,319,347,385,389,495,574,578,673,675,790,897,1036,1464,1946,2208,2219,2237,3772,3837,4079,4289,4318,4392,4666: 1,118,144,192,193,205,208,291,314,347,348,376,385,438,498,503,504,568,570,578,673,677,678,791,893,1045,1495,1748,2900,4259,4289,4293,4314,4339,4374,4379,4401,4494,4503,4640: 1,52,144,177,205,213,242,314,376,385,495,574,675,733,750,817,897,906,1036,1133,1464,1466,1618,2237,3141,3198,3202,3756,4083,4256,4317,4318,4392,4515,4527,4669: 1,18,175,389,569,575,578,1688,1767,2918,4105,4317,4329,4380,4394,4443,4461,4503,4595: 1,62,129,318,345,352,385,496,556,569,675,829,1036,1056,1463,1487,1488,3704,4083,4255,4270,4284,4316,4318,4330,4351,4364,4382,4392,4431,4432,4490,4524,4526,4575,4599,4600,4601,4637,4665,4675: 1,5,19,62,144,178,316,318,352,384,386,401,496,504,514,556,686,814,1036,1057,1474,1477,1487,1488,2229,2238,2640,2766,4316,4317,4337,4372,4409,4440,4451,4476,4486,4521,4527,4534,4542,4560,4650: 1,52,124,144,177,205,213,240,242,385,411,465,499,569,675,733,1036,1478,1615,2209,2244,2458,2804,3217,3438,4263,4306,4318,4342,4392,4482,4594,4670: 1,52,119,149,151,259,277,290,347,389,569,578,675,1045,1173,1177,1728,1767,1835,2216,3068,4267,4317,4329,4380,4388,4393,4443,4450,4503,4521,4596: 0,4,13,14,23,28,39,43,53,62,87,117,124,144,168,183,192,218,236,240,385,389,496,1036,1151,1245,1284,1477,3467,3757,3808,3858,3944: 0,3,4,5,10,12,41,52,62,80,101,103,118,124,134,144,205,285,385,504,1004,1465,2068,3433,3700,3727,4081: 0,3,18,25,44,52,103,118,144,145,205,285,314,385,389,495,574,897,1004,1036,1179,1238,1464,1465,2068,2237,3433,3700,3727,4045,4081,4318,4392: 0,2,5,7,17,18,35,44,52,62,68,118,129,142,144,147,152,163,169,316,323,359,385,390,569,714,779,824,1036,1191,1306,2827,3916,3944: 0,21,136,177,385,389,504,569,573,578,1454,1490,2199,2236,3188,3357,4254,4277,4307,4313,4317,4321,4327,4377,4487: 0,2,7,12,18,32,33,48,52,62,67,71,103,114,205,282,352,385,955,1179,1238,2037,2266,2541,4470: 0,6,8,16,18,21,52,91,144,198,209,273,304,385,389,812,2204: 0,2,4,21,32,36,47,52,62,67,88,124,132,144,176,218,243,258,345,352,385,389,496,577,674,890,937,1057,1077,1088,1208,1243,1320,1696,2042,2211,2220,2547,2874,3745,4281: 0,2,7,12,17,18,32,33,48,52,54,62,66,68,71,85,125,159,162,196,205,230,352,362,385,504,518,831,848,974,1290,1305,2141,2225,3641,3654,4020: 0,5,7,18,58,62,98,205,214,282,389,546,578,662,675,1045,1632,1644,1802,1837,2141,2234,2297,2805,2806,4244,4395: 0,5,20,59,62,64,98,136,177,205,500,578,1354,1896,2077,2733,3292,3901: 0,52,118,144,204,205,257,290,333,347,352,385,389,497,524,578,659,672,776,827,1039,1323,2580,3628,4209,4460: 0,4,11,26,52,60,62,86,87,101,118,124,144,192,218,226,314,317,318,394,402,496,675,935,1380,1868,3636,4300: 0,4,5,19,20,59,62,65,73,124,144,173,176,177,205,220,231,389,425,1055,1280,1380,1384,1391,2561,2712,3253,3669: 0,4,5,19,62,98,106,124,152,163,173,221,240,256,316,347,385,389,483,509,569,578,686,1036,1391,2219,2561,4055,4121,4369,4463: 0,7,17,18,25,40,42,44,62,68,116,118,125,141,146,156,157,159,169,192,242,246,271,281,314,385,496,528,921,1036,1052,1681,1682,1890,1994,3763,4444: 0,5,7,17,18,19,35,40,42,62,68,109,123,144,147,156,157,175,191,192,193,205,235,280,291,306,352,360,366,384,390,401,496,568,569,723,802,826,1285,1420,1484,1811,1859,2199,2218,3609,3724: 0,7,12,16,18,48,52,60,62,67,94,114,144,205,280,326,385,826,1285,1859,3609,3724: 0,21,54,81,119,124,129,267,276,283,352,375,385,472,521,539,578,820,1058,1122,1471,1477,1686,1786,1907,2235,3532,4254,4307,4377,4397,4400,4487,4496: 0,4,5,21,53,54,62,87,117,124,192,218,240,283,291,316,352,375,384,385,389,496,1036,1151,1245,1477,1907,2235,3532,3634: 0,5,20,52,59,62,64,98,129,144,177,205,290,347,352,418,578,1045,1486,1892,2028,2151,4366,4393,4464: 0,52,97,119,124,205,236,318,370,371,385,465,499,820,1058,1122,1471,1857,2124,2164,4046,4254,4302,4307,4371: 0,3,119,124,177,370,371,385,465,499,675,780,820,826,939,964,1058,1122,1308,1420,1471,1490,1972,2236,3475,3483,3604,3708,3943,4254,4307: 0,3,124,177,205,385,389,465,499,577,780,820,939,964,1058,1308,1490,1602,1778,1972,2236,3210,3211,3475,3483,3604,3943,4254,4307,4633: 1,47,51,52,70,118,174,192,231,314,352,438,496,523,571,578,673,685,818,1041,1194,1257,1495,1515,1608,1723,1748,2207,2220,2689,4256,4259,4274,4314,4317,4344,4372,4374,4380,4381,4387,4447,4460,4503,4520,4577: 1,101,119,124,132,136,149,158,173,205,238,287,347,352,385,389,504,578,643,675,820,1058,1122,1471,2216,3188,4254,4277,4302,4307,4313,4317,4371,4374,4375,4377,4381,4481,4484,4487,4513,4520,4538,4574,4591,4603,4617: 0,49,52,86,124,173,205,240,242,314,389,444,495,504,525,678,1036,1892,2229: 0,5,12,19,21,41,52,62,72,97,129,144,258,352,372,385,426,562,577,675,718,950,1188,1389,1855,1889,4290: 0,4,5,9,19,22,52,62,81,86,96,119,122,124,144,149,151,160,170,173,179,219,239,240,250,262,296,314,316,319,346,348,349,352,376,385,386,389,527,530,624,680,686,814,967,972,974,1036,1152,1488,1881,2216,2238,2461,3495,4095,4256,4267,4317,4486,4527: 0,7,17,18,40,42,56,62,67,68,85,97,125,129,156,157,159,192,196,205,230,362,389,496,502,605,674,838,872,893,1030,3896,4105,4677: 0,70,86,90,101,124,136,174,177,205,211,227,314,318,352,385,400,498,526,567,569,578,614,673,679,826,910,1050,1209,1474,1477,1487,1495,2080,2233,2234,3352,4261: 0,52,73,119,124,149,164,173,176,178,205,352,385,466,761,820,826,1058,1122,1304,1471,3016,3260,4254,4302,4307,4312,4371,4647: 0,6,8,144,192,193,208,300,314,345,363,389,390,414,498,570,577,625,628,677,895,911,913,980,1044,1057,1214,1244,1476,1495,1748,2065,2787,3095,3096,3316,3549,4361: 0,62,133,144,192,193,228,229,248,249,314,321,330,351,385,459,460,496,532,533,576,617,675,904,905,908,909,1036,1037,1465,1749,3178,3179,3232,4017,4308,4516: 0,257,290,347,389,390,497,524,578,735,736,780,824,827,1469,2226: 0,5,19,62,97,98,152,163,221,316,385,389,463,509,569,578,661,686,713,814,1036,1474,1895,2006,2104,2218,2219,2225,3394,3824,4317,4527,4559,4602,4613,4636: 0,4,5,10,12,41,52,53,62,117,124,129,144,205,385,389,555,675,984,1312,1458,2188,2268,2546,3543,3790,4504: 0,3,52,124,132,143,144,170,178,204,205,215,239,250,257,318,333,385,412,428,481,527,530,575,578,613,681,685,810,815,827,1066,1171,1176,1184,1339,2067,3745,4043,4312,4317,4374,4381: 0,2,3,5,62,66,98,136,143,144,178,191,203,205,237,318,340,385,481,575,578,681,685,696,717,810,1339,2067,2398,2410,3745,4043,4312: 0,96,119,124,144,149,151,173,205,385,389,1022,1030,1349,1357,1941,2124,3175,3360,3745,4140: 0,2,5,9,13,14,19,23,28,39,43,47,51,56,62,84,119,129,144,149,151,192,235,242,245,263,291,293,315,325,352,384,401,481,496,511,552,575,576,588,675,681,685,739,1048,2174,3543,3850,4386,4485: 0,5,7,12,17,18,41,48,52,62,68,81,85,102,125,144,159,196,205,230,321,362,389,518,935,1454,1877,2209,4095,4388: 0,86,96,100,109,113,124,155,173,191,193,219,314,348,385,389,413,492,568,593,863,3332,4014: 0,37,61,69,119,135,177,212,277,287,299,301,307,321,354,389,547,575,576,578,623,715,716,734,776,1045,1062,1130,1155,1223,2020,2227,2234,4395: 0,53,76,117,119,124,144,190,204,215,231,257,333,385,407,553,776,1269,1487,1985,2154,4511,4520: 0,4,5,36,62,80,88,101,118,120,124,218,242,352,384,385,496,569,826,1031,1270,2020,2249,2493,2494,3332,3904,4014: 0,21,124,129,216,218,236,267,276,496,675,1294,1494,4126,4308: 0,52,62,98,118,144,152,205,216,221,246,310,347,389,430,528,569,578,675,713,814,1036,1145,1205,1266,1466,1494,2216,2219,2896,3386,4317,4527: 0,2,4,5,19,36,47,62,88,98,101,118,120,124,136,153,218,243,318,352,382,384,389,401,496,578,675,698,818,826,829,3385,3481: 0,6,8,45,50,118,144,347,385,389,491,502,573,578,691,729,833,898,981,1931,2058,3695: 0,3,52,75,119,124,132,144,158,181,385,420,793,820,1058,1122,1365,1471,1490,2130,2169,2236,3721,3936,4254,4299,4307: 0,3,52,75,119,124,132,144,158,181,385,389,420,820,1058,1122,1471,2130,2169,3721,3888,3936,4215,4254,4299,4302,4303,4307,4371,4373,4375,4513: 0,3,52,101,124,136,385,389,420,578,820,1058,1490,2130,2169,2236,3888,4215,4254,4299,4307,4321,4327,4377,4487: 0,4,9,56,61,62,84,87,95,98,107,108,112,117,119,124,129,139,144,190,192,218,245,251,315,318,385,417,434,438,496,578,818,842,1265,1267,1342,1463,2214,2335,2634,2666,2761,3138,4092,4270,4464,4475: 0,16,17,18,25,44,52,94,102,116,126,135,144,145,150,169,205,219,314,316,327,348,385,397,495,508,575,675,686,938,1036,1057,2157,3744: 0,4,5,21,52,62,69,96,98,106,124,144,152,163,173,221,234,240,290,316,347,352,389,569,578,1036,1045,1344,1442,2219,3006,3251,3409,4455: 0,69,97,124,132,134,173,204,215,234,257,312,322,333,352,385,390,497,504,660,675,1080,1158,1183,1250,1438,1882,2209,2399,2462,3393,3745: 0,4,7,11,18,25,26,40,42,58,61,62,86,87,98,108,110,118,124,125,129,137,138,144,161,171,173,187,192,210,218,234,247,272,297,314,321,324,336,347,352,368,385,391,395,403,408,413,438,439,457,471,490,496,501,574,578,596,673,709,738,756,814,817,818,897,903,1041,1042,1045,1056,1126,1221,1463,1604,1657,1764,2216,2316,2835,3627,4255,4256,4270,4317,4372,4501,4521: 0,6,8,24,29,30,34,77,89,93,119,124,129,131,132,144,158,167,180,189,224,225,234,241,259,277,283,322,361,379,389,504,556,856,857,924,961,1023,3147,3414,3934: 0,4,5,13,14,23,28,39,43,54,61,62,74,87,102,118,124,132,173,192,200,218,234,291,322,384,496,547,631,874,1033,1054,1084,1450,1594,2479,2485,4271,4312,4315: 0,96,113,124,144,173,193,290,318,347,385,436,437,440,503,576,578,620,664,681,826,1054,2218,4504: 1,4,52,62,124,213,218,234,240,242,337,349,385,389,411,496,611,675,732,733,1036,1039,1056,1125,1463,1483,1487,1488,1615,1776,1791,2300,2709,2764,2810,2812,3186,4255,4263,4270,4304,4316,4318,4331,4332,4382,4383,4392,4456,4490,4524,4526,4594,4623: 0,2,4,13,23,39,47,51,56,61,62,87,96,107,124,129,173,192,200,205,218,258,288,293,373,383,496,511,575,577,1044,1054,1273,1345,2211,2227,2515,2516,2517,2967,4034,4312: 1,62,98,144,242,318,385,389,496,578,675,818,1036,1056,1463,1487,1488,2203,2219,3816,4255,4260,4269,4270,4311,4316,4318,4368,4374,4382,4392,4490,4523,4524,4526,4626,4639: 0,4,5,9,19,22,31,46,62,84,86,87,99,109,113,117,119,124,190,192,193,205,218,219,235,291,314,315,348,384,389,401,496,568,826,829,1055,1375,1543,1552,1679,1817,2043,2218,3668,3960,4404,4405: 0,46,61,99,117,119,124,144,148,189,190,205,212,286,301,307,321,354,364,389,559,603,623,716,924,1069,1206,1308,1741: 0,4,5,9,10,12,19,21,41,52,54,55,62,72,119,124,144,267,276,376,390,431,521,539,569,2011,2228,4271: 0,86,113,124,132,193,205,314,322,352,385,572,1046,1372,1517,1626,1736,1737,1846,2111,2112,2789,3233,4314,4379,4406,4407,4504: 0,18,35,40,42,125,135,144,192,199,317,339,385,402,496,599,674,675,826,893,1235,1276,1347,1488,1916,2225,2936,3167,4089,4241,4341,4427: 1,192,235,291,352,384,389,401,438,496,569,578,818,1042,1675,1814,2218,2265,2445,2467,2897,4288,4291,4311,4312,4341,4374,4390,4404,4405,4624: 0,3,4,11,26,52,62,67,86,87,118,124,173,192,205,218,234,242,261,314,389,483,496,569,674,678,893,1961,1976,2135,3365,3470,3692,3778,4131: 0,3,18,52,90,118,175,205,242,389,483,626,894,1111,1212,1961,3365,3470,3692,3778,4131: 1,205,242,314,385,390,495,574,578,655,673,687,826,897,1036,1464,1477,2028,2173,2208,2214,2219,2235,2237,3704,4256,4317,4318,4334,4392,4415,4515,4527,4559,4613,4636: 1,205,219,242,314,318,347,352,385,389,439,578,673,686,823,1036,1468,2219,2224,2227,2833,3745,4300,4311,4469,4543,4608,4643: 0,6,8,24,29,45,50,61,124,144,173,188,224,225,347,356,357,385,389,569,578,1455,1942,1956,2096,2893,2954,3036,3276: 0,17,18,85,125,144,159,196,205,230,257,352,362,385,389,390,475,504,914,1014,1455,1522,1758,1784,2079,3753,3955,4136,4180: 0,54,86,113,124,132,178,193,314,348,422,455,568,663,681,1054,1455,4378: 0,4,5,9,10,12,19,38,41,52,55,62,72,97,98,119,124,144,149,173,189,200,205,347,352,565,569,578,1455,1942,2163,2225,2893,2954,4469: 0,4,5,36,62,88,98,118,120,124,144,153,173,218,242,253,347,352,384,389,496,569,578,818,823,923,1140,2066,2340,2656,4479,4631,4643: 0,4,10,12,38,52,60,61,62,67,98,114,118,124,144,173,205,258,288,318,326,347,490,565,569,577,578,718,1040,1902,3872,4271,4315: 0,80,81,90,97,101,118,124,144,172,205,211,286,331,385,400,504,526,565,614,685,826,1566,2030,2163,2209,3348,3836,3872,4469: 1,62,352,389,496,514,814,1036,1037,1487,1488,1536,2302,2668,2673,2762,2774,3143,3144,3350,4250,4264,4308,4316,4317,4369,4372,4380,4394,4486,4492,4510,4516,4521,4527: 0,86,113,118,124,144,173,193,252,314,318,389,617,1325,1492,1749,3829,4298,4341: 0,2,4,5,7,18,25,44,52,58,62,66,70,86,98,102,110,124,142,144,160,161,165,170,171,174,179,199,205,210,223,234,239,240,246,247,250,262,269,271,272,303,314,316,318,334,348,349,352,365,368,376,385,386,387,404,405,408,451,452,457,462,471,528,530,531,578,596,601,673,684,709,814,815,864,899,1036,1042,1045,1152,1409,1488,1524,1529,1645,2065,2171,2219,2298,2678,2770,3990,4256,4269,4317,4486,4521,4527: 1,144,178,205,314,389,495,569,578,617,673,1036,1489,2208,2219,2228,3279,4256,4317,4324,4374,4381,4515,4516,4527: 0,20,62,64,98,177,205,244,258,260,385,569,577,578,720,1006,1045,1056,1463,1909,4258,4299,4634: 0,17,18,102,144,205,338,385,389,536,741,759,819,821,918,1123,1227,1438,1490,2029,2068,2236,3638,4254,4307: 0,3,4,20,62,64,65,98,101,124,136,144,177,244,260,385,578,790,793,813,1056,1351,1463,1482,1928,3322,4060: 0,3,96,124,144,173,177,205,290,347,385,578,658,790,793,813,820,1058,1351,1482,1490,1928,2125,2236,3322,4060,4254,4307,4377,4487: 0,3,96,124,173,177,205,234,288,290,347,373,385,563,577,578,658,790,813,820,1045,1058,1351,1446,1482,1490,1602,1778,1928,2125,2236,3460,3738,4254,4258,4307,4321,4327,4377,4487: 0,3,22,49,86,96,119,124,149,151,173,205,240,266,314,319,352,385,495,563,574,658,790,813,897,1036,1048,1351,1446,1464,1482,2125,2237,3460,3738,4318,4378,4392,4638: 0,2,3,4,21,52,62,66,83,96,98,106,124,142,152,173,221,231,240,241,258,288,289,290,323,347,352,373,385,387,569,577,578,675,859,1036,1114,1472,1487,1491,1531,1534,2212,2219,2274,3402,3491,3994,4051,4067,4410: 0,3,4,10,12,52,62,83,124,132,241,289,322,352,385,389,441,443,448,569,572,1472,1487,3402,3994,4051,4067: 0,2,4,13,15,23,39,47,51,56,62,78,87,98,107,124,129,139,144,173,192,205,218,234,293,322,347,358,389,438,496,511,578,814,818,1041,1045,1395,2155,2216,3624,3866,4317,4369,4372,4380,4462,4503,4521: 0,6,8,15,24,29,39,45,50,78,87,124,144,173,187,192,335,347,374,389,390,406,438,512,578,636,680,725,730,744,854,855,867,871,891,892,900,1041,1466,1571,1641,1665,1666,1683,1750,2216,2322,2353,2926,2949,3866,4294,4317: 0,4,13,14,52,62,75,81,98,112,124,132,143,242,318,321,340,385,569,578,604,675,717,817,1049,1172,1450,1456,1554,1556,2076,3649,3795,4374: 0,16,18,40,42,52,94,192,199,205,270,291,339,384,385,386,390,496,502,569,599,675,693,757,1079,1358,1467,1488,1563,1564,1748,2207,2225,2251,3468,3518,4170: 0,2,5,9,37,47,62,79,81,98,105,119,135,144,149,203,214,242,287,315,347,384,385,389,450,496,578,818,1019,1466,1818,2213,2232,2234,2376,2447,2880,2898,2978,2983,3701,3926,4328: 0,22,31,37,52,57,70,79,119,135,144,149,172,174,193,197,203,241,265,285,287,314,347,385,390,415,503,578,673,677,866,953,1430,1495,1593,2213,2225,2234,2376,2585,2898,2978,2983,3193,3442,3701,4261,4314,4379: 0,4,5,11,26,27,46,62,86,87,117,118,124,192,205,218,236,291,314,348,384,385,389,496,675,1902,2363,2652,2735,3061,3294,3463,3765: 0,3,5,13,14,62,98,144,152,163,168,177,183,205,221,242,290,316,347,385,492,569,578,586,587,761,992,1036,1174,1399,1426,1450,1472,1594,2219,3921,4346: 0,3,4,5,19,53,62,106,117,118,124,144,152,163,177,205,240,316,385,390,492,509,569,675,686,761,992,1036,1399,1426,1450,2744,3097,3318,3921,4038: 0,2,4,5,9,11,19,22,26,27,47,51,62,63,70,82,84,86,87,104,118,119,124,148,149,173,177,192,218,219,235,291,314,315,348,369,384,389,390,401,489,496,502,569,659,675,739,761,772,1007,1296,1460,1695,1702,2235,3016,3260,3448,4367: 0,52,61,144,150,205,219,288,314,316,348,389,495,508,577,641,686,1036,1440,1476,1907,2212,2807: 0,3,90,96,124,173,205,211,227,290,318,347,352,578,802,960,1228,2030,2143,2167,2216,3161,4108,4267,4317,4391: 0,3,57,86,113,121,124,130,144,174,193,205,208,234,314,318,320,352,385,498,503,578,673,802,960,1038,1045,2030,2143,2167,3615,3901,4108,4256,4317,4391,4521: 0,21,118,119,124,144,149,173,188,202,347,389,425,578,826,925,1254,1395,1527,1544,1744,1756,1785,1901,2469,2882,3166,4113,4127,4376: 0,21,57,113,124,130,144,173,193,208,347,352,374,389,503,578,680,725,771,1003,1038,1048,1341,2216,2785,3401,4271,4315,4317: 0,2,4,5,9,10,12,32,33,41,52,55,62,71,119,124,132,144,158,177,259,321,322,352,385,414,504,572,675,676,680,1050,1456,1969: 0,6,8,16,17,18,25,30,34,94,109,116,123,126,131,144,167,193,205,219,273,304,314,348,366,385,397,563,568,663,675,1229,1230,1474,1483: 1,150,177,205,219,231,314,316,348,352,495,508,577,578,673,675,686,829,1036,1045,1476,1493,2208,2210,2212,2219,2233,2240,2807,2920,3209,3509,4258,4352,4448,4488,4503,4519,4620,4629,4633: 0,4,5,19,54,62,74,97,118,124,132,143,144,173,234,322,340,389,556,576,604,654,696,953,1089,1494,1513,1712,1713,1714,1715,1824,2013,2718,3553,3923,3985: 0,4,7,18,25,44,58,62,86,98,110,124,160,161,170,171,179,199,205,210,234,240,247,250,272,303,314,334,349,365,368,376,385,404,405,408,415,451,452,457,462,471,530,531,578,596,601,617,673,709,814,815,864,986,1036,1037,1042,1045,1152,1488,1489,1645,2219,2298,2423,2678,2770,3160,4234,4256,4269,4317,4486,4492,4516,4521,4527: 0,2,5,12,15,32,33,38,41,52,62,71,98,136,144,237,264,292,389,423,504,578,812,814,1668,3986,4004,4242,4277,4278,4317: 0,2,4,9,15,47,51,62,84,87,98,101,102,119,124,136,144,192,218,238,315,389,438,496,569,578,631,818,874,1477,2241,3747,3757,3895,4364: 0,17,18,25,44,52,116,125,145,159,169,172,191,205,305,314,318,327,352,379,385,495,574,817,897,1036,1237,1464,1801,2070,2237,2946,3213,3406,4312,4315,4318,4365,4392,4504: 0,61,74,86,118,124,132,173,218,234,288,314,322,348,376,384,389,390,496,498,577,674,678,746,802,1042,1043,1189,1476,1478,1495,1512,1706,1707,1708,1709,2156,2207,2211,2220,2684,3176,4258,4281,4314,4349,4401,4426,4429,4430,4442,4519,4529,4531,4532,4535,4537,4539,4545,4546,4547,4563,4583,4584,4586,4587,4588,4589,4590,4592,4593,4609,4615: 1,52,119,124,132,144,158,176,205,352,385,390,466,504,569,578,680,826,1050,1058,1471,2222,2235,2236,2394,2779,2897,4176,4290,4307,4311,4315,4323,4371,4374,4408,4446,4487,4499,4506,4509,4513,4556,4580,4581,4582,4635: 0,49,52,86,118,124,132,144,150,205,240,314,316,322,348,352,385,495,572,771,811,969,1036,1517,1626,1736,1737,1846,2112,2166,3771,4652: 0,21,53,97,117,124,170,204,215,239,250,257,318,385,389,504,700,1014,1112,1469,2008,2018,4183,4213,4257,4464: 0,6,8,22,24,29,31,46,57,77,86,89,99,113,117,119,121,124,130,154,174,182,190,193,208,314,352,389,492,498,556,829,895,958,967,1214,1595,1596,2391,3148,3355,3900,4312: 0,4,11,26,52,62,86,87,108,118,124,132,138,144,177,192,218,314,324,352,385,391,456,496,574,766,792,897,949,1056,1463,1494,2057,2350,3024,3266,3396,3807,4255,4270: 0,18,35,52,57,85,123,125,130,144,175,193,208,231,242,274,352,389,464,473,675,1494,1690,2196,2197,4228: 0,22,49,52,54,86,97,119,124,144,149,150,173,205,240,266,284,314,316,318,319,321,347,348,352,428,495,578,673,984,1036,1361,1406,1852,1924,2208,2219,3427,3605,3827: 0,52,57,102,144,174,193,203,314,347,352,385,389,503,578,615,673,701,786,1118,1210,3773,3826: 0,17,18,40,42,44,141,146,156,157,169,192,199,291,316,320,338,350,375,384,385,386,390,426,496,507,528,536,741,899,918,1036,1163,1364,1477,1488,1968,2181,2472,3187,3914: 0,16,18,52,90,91,144,177,352,389,400,491,526,626,2086,2191: 0,6,15,24,30,45,101,124,129,131,136,144,173,200,282,313,347,376,562,569,578,629,635,644,695,727,1154,1222,1550,1654,1759,1768,2122,2507,3742,3881: 0,52,101,124,144,188,202,278,385,440,758,820,826,1058,1297,1340,1342,1473,1490,2023,2236,2280,2579,3690,4254,4288,4307,4321,4327: 0,4,5,10,12,19,21,41,52,53,62,69,72,117,118,124,203,385,389,1628,1823,1918,3517,3754: 0,4,9,21,62,97,98,106,119,124,144,152,200,221,240,259,319,322,453,467,484,569,578,713,814,882,883,1036,1037,1239,2219,3441,4317,4333,4380,4418,4498,4503,4516,4527,4573: 0,21,37,79,119,129,144,149,151,200,205,259,268,278,287,290,347,385,390,578,826,1202,1398,1471,2213,2234,2776,4262,4268,4307,4309,4323,4371,4408,4487,4503,4506,4509,4557: 0,23,28,39,43,87,101,124,144,168,178,183,192,195,218,240,253,349,350,352,385,390,496,529,637,645,731,817,843,844,978,1023,1036,1057,1488,2626,2657,3303,3722,3929: 0,4,10,12,52,62,67,74,78,95,114,118,124,132,144,173,234,309,322,379,385,425,501,566,927,1138,1259,1725,1726,2233,3059,3654,4446: 0,2,7,12,17,18,32,33,35,48,52,61,62,67,68,71,85,114,118,144,147,230,385,518,556,569,573,1691,2204,3751,3899,4250,4266,4345: 0,3,118,124,173,176,178,201,204,215,257,310,318,322,385,389,556,660,700,798,816,1080,1158,1250,1469,1474,2193,2973,3932,4191,4356: 0,2,3,13,14,62,98,128,178,310,318,347,385,389,516,556,578,581,660,798,1094,1096,1474,2193,2896,3932,4191: 0,57,96,113,124,130,173,177,193,208,290,318,320,342,347,352,422,503,556,578,1054,1369,1407,2204,2409,2834,3230,3774,4350: 0,17,18,103,205,231,338,536,569,675,741,918,1338,1489,4443,4595: 0,52,87,101,124,144,192,195,218,240,242,275,302,317,328,349,350,352,390,402,496,525,674,803,893,1036,1098,1488,2099,3167,3648,3826,4398,4427,4674: 0,6,8,18,30,34,42,52,85,95,125,131,144,167,187,192,196,205,235,273,291,304,385,390,744,1031,1081,1551,2085,2136,2229,3873,3917: 0,2,4,9,11,13,22,23,26,39,46,47,51,52,62,63,70,78,82,84,86,87,92,98,99,117,118,119,124,137,144,190,192,218,283,314,315,355,379,389,390,438,472,496,556,578,673,818,887,1053,1610,2214,2227,2372,2515,2516,2517,2628,2698,2742: 1,129,136,144,178,237,352,385,389,440,578,1040,1121,1226,2217,2235,3188,4254,4263,4277,4278,4307,4313,4317,4377,4438,4487,4538,4591,4666: 0,15,18,25,44,103,118,144,145,205,231,285,314,385,495,569,574,658,897,1026,1036,1039,1179,1238,1269,1319,1464,2188,2237,3410,4318,4392: 1,144,205,314,495,522,541,578,655,673,687,847,897,1036,1057,1129,1131,1472,1560,1792,2208,2219,2225,2234,2237,2247,3583,4256,4261,4268,4271,4315,4317,4333,4376,4380,4392,4418,4477,4498,4503,4515,4522,4527,4561,4573: 1,136,142,144,205,347,385,578,655,679,687,1036,1045,1057,1234,1472,1789,2213,2219,2225,2234,3201,3363,3583,4268,4271,4315,4365,4376,4395,4433,4477,4503,4517,4522,4562,4607: 0,5,19,20,52,54,59,62,64,98,177,205,216,217,220,347,578,607,681,749,796,814,888,1054,1142,1494,2216,2240,2910,2930,3715,4317,4376,4646: 1,62,177,379,385,389,390,496,514,569,814,1036,1056,1463,1487,1488,1493,2231,2302,2668,2673,2762,2774,3143,3144,3350,4255,4270,4271,4315,4316,4317,4318,4372,4380,4382,4392,4394,4464,4466,4486,4490,4521,4524,4526,4527: 1,321,352,389,675,1767,3180,4263,4267,4315,4317,4391,4443,4605,4663: 1,118,177,205,287,314,347,385,495,578,643,673,675,847,897,1036,1194,1257,1474,1560,1616,2208,2216,2219,2237,2247,2689,2921,4256,4271,4287,4305,4311,4312,4315,4317,4365,4380,4387,4392,4488,4489,4503,4504,4515,4527,4622,4644: 0,57,112,130,144,193,205,208,289,352,376,415,675,826,947,1038,2210,2405,3225,3656,3665,4220,4283,4317,4360,4391,4421,4521: 0,4,5,9,19,53,56,62,76,84,87,98,107,117,119,124,129,134,139,190,192,217,218,235,245,263,291,315,318,321,325,384,385,390,401,434,438,496,578,687,818,878,961,1265,2210,2214,2335,2634,2666,2761,3138,3829: 0,6,8,30,34,45,50,131,144,166,167,178,205,207,231,347,385,417,463,578,1045,2131,3552: 0,4,5,9,62,119,124,149,173,231,240,242,316,318,319,352,376,390,435,504,675,826,1036,1433,1461,1542,1816,2878,2879,3702,4349: 0,4,9,19,56,62,84,87,98,107,117,119,124,129,139,190,192,218,235,245,315,321,325,358,401,438,496,500,501,560,569,578,675,814,818,1041,1064,1124,1128,1144,1181,1263,1365,1461,2214,2235,2253,2501,2502,2503,2980,4317,4334,4372,4571: 0,4,5,9,19,56,62,74,84,87,98,107,118,119,124,129,132,139,149,158,173,192,218,234,235,245,259,263,277,291,315,321,322,325,329,347,358,384,385,401,438,474,496,501,560,578,675,761,814,818,1041,1045,1064,1124,1128,1144,1263,1445,1461,1474,1738,1739,1740,2216,2386,2900,2928,3123,4317,4372,4374,4380,4381,4503,4521: 0,4,5,9,22,53,62,76,86,98,117,118,119,122,124,170,190,191,231,239,250,314,321,348,376,379,385,427,501,504,578,673,675,815,817,878,1461,2058,2214,4036,4484: 0,52,57,75,81,113,124,132,144,193,205,242,289,318,390,435,503,578,589,789,1049,1172,1374,1477,2170,3321,4200,4374: 0,4,5,9,19,56,62,74,81,84,87,98,107,118,119,124,129,132,139,144,149,158,173,192,218,234,235,245,259,263,277,291,315,321,322,325,329,347,352,358,384,389,401,431,438,496,560,578,675,814,818,1041,1045,1064,1124,1128,1144,1263,1289,1738,1739,1740,2216,2386,2900,2928,3123,3716,4317,4372,4374,4380,4381,4503,4521: 0,4,13,14,62,96,98,124,144,168,173,183,240,242,290,345,347,385,389,429,540,578,606,814,1036,1162,1415,2216,2219,3207,3432,3931,4263,4267,4310,4317,4331,4527,4594,4605: 0,2,5,7,12,16,18,32,33,41,48,52,62,71,94,95,97,111,177,205,242,264,292,385,424,504,3410,3988,4271,4315: 0,4,20,52,62,65,75,124,132,177,258,577,675,720,798,826,964,1037,1075,1298,3711,3942,4281: 0,52,57,118,129,144,191,193,197,290,318,347,503,568,578,677,680,682,826,939,1420,1473,1493,2554,2908,3618,3711,3926: 0,2,5,12,19,33,41,52,61,62,72,78,93,118,129,133,140,144,205,248,249,351,385,432,440,449,579,584,916,917,1445,1669,1670,1796,1798,3477,3591,3599,4468: 0,26,62,98,118,137,141,146,192,246,271,314,347,385,389,438,463,496,510,556,569,578,659,673,818,1045,1420,2240,3591,3677,3758: 0,18,35,118,125,144,204,223,239,250,256,257,333,352,385,497,524,527,531,675,684,805,829,914,1039,1235,1264,1347,1906,2580,2936,3132,3133,4264,4378,4656: 0,6,8,21,22,31,37,45,50,57,77,79,89,93,119,121,130,149,151,154,174,182,193,208,216,265,268,287,290,314,343,347,352,389,498,503,569,578,598,627,673,675,685,822,866,868,895,912,1025,1214,1247,1595,1596,2213,2234,2407,2828,2829,2986,3193,3737,4261,4309: 0,5,7,16,18,20,52,54,59,62,94,118,144,177,242,246,289,385,440,817,876,998,1042,2000,2473,3319,3935: 0,52,73,119,124,144,149,164,173,176,205,318,385,389,466,820,1008,1058,1122,1310,1471,1477,2150,3897,4254,4302,4307,4371: 0,7,12,18,48,52,62,67,114,144,178,188,205,216,305,338,385,389,645,805,2067,2225,2940,3509,4337: 0,57,61,78,97,121,130,136,144,174,193,208,254,256,314,352,385,498,503,578,673,687,1372,3233,3671,4059,4247: 0,3,22,31,57,86,113,119,124,132,144,149,158,173,174,193,256,314,347,352,375,382,385,467,503,555,578,665,673,675,683,687,1187,1239,1450,1480,2552,3118,3331,3379,3930,3938,4059,4247,4275,4374,4416,4498: 0,3,18,52,90,118,125,144,352,375,382,385,400,526,555,626,665,675,683,800,1209,1450,1480,3364,3368,3379,3930,3938: 0,4,5,15,19,52,62,96,124,144,173,234,240,316,352,385,389,435,483,569,686,797,800,1036,1310,1542,1816,2878,3368: 0,3,112,118,204,205,239,250,257,347,385,578,815,827,1310,1487,1876,1948,3458,3976,4252: 0,2,3,5,19,26,27,47,51,52,62,66,70,82,98,104,112,118,136,137,174,192,205,219,235,291,314,348,384,385,401,438,496,523,571,578,673,818,853,1060,1103,1104,1105,1310,1475,1487,1493,1876,1948,3458,3663,3976,4252,4306: 0,2,3,7,12,17,18,32,33,48,52,62,68,71,81,118,125,144,159,205,321,385,490,518,580,582,590,616,1039,1237,1493,1876,1948,2210,3213,3663,4167,4306: 0,7,18,20,21,35,52,62,177,244,260,318,359,385,388,390,607,667,687,814,876,1056,1463,4042,4044,4317,4381,4454: 0,3,22,49,52,54,86,119,124,144,149,150,173,205,219,240,266,275,314,316,319,348,352,383,385,415,489,495,508,538,547,549,686,933,1036,1473,1844,1862,2703,2950,4161,4223: 0,3,7,12,16,18,48,52,60,62,67,91,114,144,326,352,383,389,415,549,805,1264,1862,4161,4223: 0,6,8,21,24,29,30,34,74,118,124,131,132,144,167,173,202,205,234,318,322,352,390,1359,1660,1810,3421,3772,4231: 0,49,52,53,86,117,124,144,150,205,240,314,316,348,385,389,418,495,578,673,826,878,1036,1042,2208,2214,2219,2221,3531,3552,3812,4136,4256,4317,4334,4515,4527: 0,4,5,9,10,12,41,46,52,55,62,99,117,119,124,144,178,190,205,389,417,556,1971,1982,2131,3283,3812: 0,69,144,257,288,311,352,373,385,497,500,577,862,1380,1469,2992,3940,4437: 0,2,4,5,9,47,51,56,62,84,87,102,107,119,124,129,144,149,173,192,218,234,245,259,263,277,291,293,315,318,322,352,384,390,480,496,569,642,675,804,1003,2513,3914,4190,4295: 0,2,4,5,9,19,62,73,98,119,124,144,149,164,173,176,205,233,347,385,388,389,466,578,632,1137,1277,1281,1468,1484,1724,1931,2062,2360,3054,4087,4311: 0,3,4,5,9,10,12,19,41,52,55,62,72,119,124,144,149,173,177,178,256,279,385,416,476,666,675,824,1135,1256,1508,1585,2279,3014,3844,4048,4141,4271,4456: 0,3,4,5,9,21,22,31,52,53,62,76,84,86,87,98,113,117,119,124,144,178,190,192,193,218,256,279,291,314,315,348,384,385,416,438,476,496,503,568,578,666,673,675,814,818,824,878,1038,1041,1650,1808,2214,2221,2305,2436,2613,2641,2683,2714,2784,2819,2820,2821,3012,3256,3844,4048,4141,4256,4271,4315,4317,4334,4372,4456: 0,4,5,9,10,12,19,41,52,55,62,72,119,124,144,205,234,277,385,389,416,476,646,647,666,675,1135,1256,1482,1508,1585,2279,3013,3915: 0,2,4,5,9,19,20,52,59,62,64,65,96,98,119,124,129,140,144,151,177,220,231,234,259,277,279,290,298,322,353,385,440,449,578,607,814,1045,1086,1365,1466,1485,2241,3410,3411,4172,4267,4317,4380,4503,4521,4654: 0,2,4,5,11,21,26,27,47,51,62,70,82,86,87,98,118,124,137,144,173,186,192,203,218,231,234,291,314,347,348,384,389,438,496,578,673,779,783,818,1045,1952,2901,3880: 0,2,5,9,19,22,26,27,37,47,51,52,62,63,70,79,82,84,98,104,105,118,119,137,144,149,151,184,192,214,219,231,235,236,242,253,259,265,268,277,287,290,291,299,314,315,347,348,384,390,401,438,450,496,513,578,673,818,851,852,944,1033,1045,1059,1101,1102,1202,2188,2213,2234,2239,2317,2836,4200,4261,4268,4309,4328,4388,4395,4503: 0,2,3,4,5,11,19,26,27,47,51,52,62,70,82,86,87,97,104,118,124,144,173,184,192,205,218,219,235,241,291,314,321,348,384,385,401,439,496,851,852,1059,1101,1102,1473,1959,3519,3527,3793,3816,4115,4243: 0,3,52,97,118,136,144,150,184,205,282,314,316,348,385,483,495,578,673,976,1036,1473,1959,2208,2219,3519,3527,3793,3816,4243: 0,2,4,5,9,11,19,22,26,27,47,51,52,62,63,70,82,84,86,87,97,104,118,119,124,132,144,158,177,184,192,218,219,235,284,291,314,315,348,376,379,384,390,401,415,427,456,496,687,851,852,884,1059,1101,1102,1494,2210: 0,2,5,19,26,27,47,51,52,62,70,82,98,104,118,137,144,177,184,192,205,219,235,291,314,320,348,384,385,390,401,438,496,578,660,673,818,851,852,946,1059,1101,1102,1462,1487,2135,2891,3534,3876,3945,3946,4311,4374,4488,4503: 0,3,49,52,86,96,124,173,205,240,271,314,352,433,495,528,659,987,1036,1480,2048,2201: 0,18,25,54,57,118,121,123,130,144,174,184,193,208,231,242,305,314,344,352,498,502,543,1054,1487,1494,2185,2233,2697,3084,3747,4457: 0,52,75,124,132,205,218,284,496,571,761,1007,2225,3876,3945,3946,4356,4394: 0,18,58,85,90,175,184,241,242,253,282,318,344,385,389,432,543,626,675,894,1111,1212,1348,2210,2233,3080,3081,3229,4481: 0,52,61,97,124,144,176,184,212,216,234,241,242,253,301,307,309,310,322,354,364,385,390,603,747,823,1033,1069,1206,3037,3632: 0,6,8,30,34,45,50,52,144,178,242,318,347,380,390,557,569,578,1023,2012,2020,3462,3852: 0,5,62,97,144,160,239,250,251,258,262,314,316,321,348,352,376,385,386,556,569,577,907,1036,1476,1488,1913,2212,2809,3210,3211,3588,3697,3992,4056,4384: 0,7,15,16,17,18,25,40,42,44,54,62,68,94,116,126,144,156,157,169,192,314,330,385,397,496,556,617,789,921,1036,1037,1052,1681,1682,1909,3392,4308,4516: 0,46,57,113,117,124,130,144,178,193,208,321,352,389,440,675,812,3067,3297,3799,4266: 0,4,5,20,52,54,59,62,64,65,98,101,124,135,136,177,205,376,385,578,675,962,986,1997,2038,2343,2727,3282: 0,4,9,11,13,14,21,22,23,26,28,39,43,62,63,84,86,87,92,96,97,98,115,118,119,124,137,144,149,151,173,192,218,290,314,315,347,355,385,389,438,447,496,578,634,673,702,707,710,726,791,818,1063,1127,1429,2911,3111,3434,3533,3634: 0,2,13,14,52,62,69,98,142,152,168,183,205,221,242,323,347,385,389,569,578,586,587,1036,1049,2069,2132,2219,3035,3275,3659,4036: 0,4,9,22,46,52,62,67,86,99,110,117,119,122,124,144,160,161,170,171,179,190,210,240,242,247,250,251,272,296,303,314,319,334,349,365,376,389,404,405,451,452,462,525,542,597,624,678,688,704,705,706,711,1036,1474,1488,1575,1576,1711,1753,1754,1787,1788,2348,2922,2933,3837,4112,4403,4425,4427,4466,4493,4553,4585: 0,52,61,62,69,98,144,205,231,250,314,320,347,385,409,424,496,556,578,673,815,818,869,1036,1307,1488,1572,1752,2219,4269,4311,4374,4572: 0,22,31,37,57,119,121,129,130,174,177,193,208,265,277,287,299,314,318,343,352,389,498,503,578,673,675,866,934,949,1045,1304,2234,2235,3193,3515,4261,4395: 0,17,18,21,25,35,44,58,103,116,129,144,145,147,150,169,175,205,280,306,314,316,327,348,380,470,495,1036,1178,1280,1326,1487,1624,1716,1827,2225,2997,4370: 0,52,80,86,87,90,101,124,136,144,192,211,227,236,237,291,314,331,348,374,379,385,438,512,578,673,680,776,865,1041,1228,2049,2168,2506,2792,3041,3043,3490,4012,4256,4277,4278,4312,4317,4504: 0,4,10,12,52,62,67,96,114,124,144,173,242,318,345,385,428,504,569,1141,1260,1285,1356,1576,1754,1969,3089,3207,3410,3895,4266: 0,87,124,144,173,192,205,218,242,270,332,339,347,349,385,438,445,496,561,569,570,578,693,712,818,1041,1043,1061,1106,1107,1108,1481,1488,1643,1748,2090,2207,2216,2225,2233,3057,3291,4181,4269,4317,4372,4486: 0,5,19,20,59,62,64,98,118,144,177,200,220,347,352,385,486,578,1400,1854,1962,3707: 0,3,4,5,52,62,73,86,112,124,129,144,170,173,176,205,218,231,239,240,250,287,314,316,348,349,352,381,384,385,386,409,419,496,600,932,1036,1291,1488,2432,3399,4070,4072: 0,3,9,37,52,56,62,79,84,98,105,108,119,129,138,139,149,192,205,214,231,245,287,315,347,352,381,385,419,438,450,496,513,578,818,842,932,1056,1291,1463,1496,1671,2213,2234,2239,2334,3399,4070,4255,4270,4271,4328: 0,4,5,9,36,52,62,75,88,119,120,124,132,144,146,158,181,187,200,218,246,284,315,352,383,384,385,496,768,875,1092,1285,1487,1844,1997,2662,2751,3117,3707: 0,3,7,15,16,18,25,26,40,42,62,67,94,118,129,192,205,261,297,314,318,385,390,496,573,674,678,785,893,975,1278,2160,2699,3317,3374,3454,3842,3967,4128: 0,3,6,8,45,50,118,129,144,154,182,205,347,385,389,573,578,785,975,1023,1278,2160,3374,3454,3842,3967: 0,22,31,57,86,113,119,121,124,130,132,158,174,193,208,236,259,314,318,322,352,385,389,498,503,572,578,637,673,676,1023,1038,1487,1956,2061,4256,4274,4317,4374,4380,4381,4393,4503,4577: 0,2,12,33,38,52,62,66,67,81,93,98,114,129,144,162,285,347,415,479,575,578,687,812,1474,2202,2270,2549,3592,3639,4123,4339,4512: 0,4,9,52,62,67,75,93,106,119,124,132,144,152,158,181,232,240,242,254,319,385,389,453,525,546,569,583,766,1036,3398,3819,4151,4209: 0,4,5,46,62,106,117,124,144,152,163,178,205,240,284,316,389,479,569,766,1036,1412,2508,2509,2721,3268,3596: 0,3,47,51,52,84,87,93,96,119,124,142,149,151,165,173,191,192,195,218,240,241,269,270,315,318,319,349,350,352,385,387,390,392,479,496,523,571,576,624,775,836,963,1036,1073,1114,1335,1428,1474,1488,1491,1582,1583,1677,1748,2055,2207,2558,3452,3733,4298: 0,3,22,31,86,93,100,109,113,119,124,144,149,155,173,176,191,193,219,241,259,314,318,322,348,352,390,466,568,569,576,593,775,816,863,963,1335,1378,1470,1474,2973,3051,3290,3452,3473,3733,4298,4325: 0,7,16,18,44,62,67,91,152,389,525,556,569,583,659,714,1036,3592: 0,13,14,20,62,64,98,144,177,242,389,481,569,578,675,1045,1097,1378,1555,1920,4069: 0,4,9,20,62,65,119,124,132,144,158,177,259,298,311,322,352,385,572,576,676,1037,1075,1423,1842,3108,3110,4069: 0,4,9,13,14,15,21,52,62,106,119,124,132,144,152,158,168,176,183,240,259,319,322,376,389,453,466,569,586,587,683,812,938,1036,2048,2969,3371: 0,7,18,58,62,135,143,144,175,178,340,464,929,1037,1322,1479,2839,4030: 0,61,96,124,135,173,212,290,307,347,364,389,578,603,715,734,1069,1087,1206,1215,1745,2158,4662: 0,2,5,7,12,16,18,19,21,33,41,48,52,62,72,91,140,144,389,390,440,449,579,584,3473: 0,4,5,9,10,12,13,14,41,46,52,55,62,99,117,119,124,177,190,205,242,284,385,389,492,1409,1450,1594,2391,2476,2482,3148,3355: 0,52,144,192,193,205,242,290,291,314,347,348,384,389,438,496,503,568,578,673,677,762,818,1039,1099,1467,1495,1563,1748,2207,2499,3472: 0,18,25,35,54,57,58,121,123,125,130,143,144,174,193,205,208,305,314,352,385,389,440,478,498,805,1025,1264,1487,2790,3131,3132,3133,3538: 0,4,5,36,52,62,88,97,98,118,120,124,144,153,173,218,236,342,347,352,384,385,430,483,486,496,578,768,769,789,814,818,1165,1864,1903,2216,2644,2724,3033,3273,4317,4372: 0,4,5,10,12,38,41,52,62,80,98,101,118,124,136,144,236,237,253,342,352,381,385,389,486,578,768,923,1140,1201,1864,2327,2567,3072,4137: 0,4,52,60,62,67,86,87,113,117,118,124,144,189,192,193,218,226,314,317,377,402,473,496,674,678,721,817,824,826,893,1006,1650,1808,2198,2209,3168,3602,3838,4494: 0,4,5,10,12,41,52,53,61,62,78,117,124,144,205,258,372,385,388,500,562,577,718,984,1188,2115,2268,2546,3272,3637: 0,13,14,23,28,36,52,62,110,171,236,242,294,295,318,352,385,403,496,566,675,1164,1873,2111,3197,3504: 0,5,12,19,38,41,52,62,72,81,98,144,178,321,347,578,675,1372,1437,1853,1937,2200,2333,2763,3150,3358: 0,7,15,18,25,26,40,42,62,118,144,175,192,281,297,314,330,352,496,617,694,826,1037,1235,1441,1883,2945,3898,4308: 0,6,8,95,110,111,131,144,161,167,336,376,389,390,429,737,738,1195,1196,1233,1258,1353,2090,2109,2235,3194,3195,3898: 0,124,132,144,178,204,215,257,389,455,497,1412,1978,3825: 0,4,9,11,22,26,61,62,63,84,86,87,98,108,118,119,124,137,138,149,173,192,218,242,256,314,315,318,324,347,385,389,391,438,496,574,578,634,673,702,707,710,726,791,818,897,985,1056,1063,1127,1421,1435,1463,1953,4255,4270: 0,49,52,86,95,111,117,124,144,150,205,240,312,314,316,348,495,578,673,826,930,1036,1039,1180,1345,1435,2208,2214,2219,2889,3616,3764,4362: 0,7,18,40,44,62,125,199,242,385,389,415,496,1036,1056,1236,1401,1463,1487,1488,2003,2146,2173,2663,2756,2811,2937,3341,4255,4270,4316,4318,4382,4392,4490,4524,4526: 0,36,60,62,69,110,161,171,241,242,247,317,336,352,376,389,403,496,502,569,737,738,780,826,846,903,969,1164,1195,1196,1233,1258,1353,1466,1932,2732,3959,4139,4452: 0,4,9,13,14,15,23,28,31,39,43,52,62,74,84,87,113,118,119,124,132,149,158,173,178,192,193,218,234,259,277,315,322,329,385,389,416,458,496,621,675,1135,1256,1458,1484,1811,2477,2483,2849,2850,3013,3014,3735,3947: 0,2,3,4,5,9,14,19,20,59,62,64,65,98,119,124,129,132,158,177,180,205,220,233,234,241,259,277,298,318,322,353,361,385,578,632,646,777,1045,1097,1137,1379,1684,2071,3052,3053,3055,4374,4503: 0,2,3,5,7,17,18,19,40,42,47,51,56,62,68,85,125,129,156,157,159,177,192,196,205,230,233,235,241,263,291,293,318,325,362,384,385,401,496,605,646,777,872,1051,1379,2071,2526,3474,4227: 0,3,17,18,40,42,44,58,129,156,157,169,177,192,205,233,241,291,316,318,384,385,389,470,496,646,777,1036,1051,1379,1467,1491,1563,1748,1790,2071,2207,2618,3214,3235,3277,3474,4227,4544: 0,4,5,62,73,106,118,124,144,152,163,173,176,178,205,240,316,352,389,569,675,1036,1963,3497,3907,4460,4476: 0,2,4,5,10,12,19,33,41,46,52,62,72,117,124,231,233,255,346,385,389,424,2526: 0,52,61,62,69,98,144,203,205,236,314,347,385,562,574,578,673,826,897,1018,1056,1318,1326,1463,1468,1932,2246,2460,2817,3223,3584,3939,4212,4311: 0,52,80,86,87,101,124,136,144,172,174,192,218,237,314,378,389,390,438,496,523,571,578,615,673,675,701,818,993,1018,2586,3159,3577: 0,4,11,13,14,23,26,28,39,43,46,62,69,86,87,92,115,117,118,124,192,218,242,289,314,355,385,389,447,496,958,2036,4212: 0,6,8,24,29,52,69,97,124,132,166,198,205,207,209,322,377,385,576,1018,1050,1359,1397,1599,1600,1660,1810,2951,4315: 0,21,52,87,97,118,124,144,192,195,205,218,235,240,242,267,276,282,291,316,349,350,384,386,390,401,438,496,507,562,577,578,662,686,808,818,873,907,1036,1041,1044,1090,1488,1686,1786,2211,2212,2219,2238,2869,2993,3212,4269,4317,4372,4412,4486,4527: 0,52,80,101,124,136,144,205,218,237,384,385,389,440,496,578,662,773,818,1018,1421,1467,2207: 0,4,20,52,62,64,65,98,101,118,124,136,144,177,205,244,260,345,385,553,578,959,1047,1056,1377,1463,2039,2342,2713,3011,3255,3425,3449: 0,81,144,318,321,347,385,556,578,773,1093,1095,1218,1219,1328,1852,3642,3882,4254,4307,4377,4487: 0,57,86,87,96,113,124,143,144,173,174,192,193,286,290,314,347,389,414,438,475,503,523,578,615,673,701,1118,1210,1347,2176,2230,2414,2586,2887,2888,3017,3018,3159,3245,3261,3687: 0,4,5,10,12,19,41,52,54,62,69,72,117,118,124,144,178,188,310,385,680,747,957,1136,1449,1717,2225,4271,4315,4507: 1,385,389,675,812,1076,1211,1477,1852,2291,2599,3188,4254,4271,4302,4307,4313,4317,4371,4453,4505,4508,4512,4514,4521,4525,4602,4651: 0,4,5,11,19,26,27,46,52,62,86,87,104,117,118,124,144,192,205,218,219,235,242,291,314,320,348,352,384,389,401,496,558,657,1261,2235,2380,2630,2660,2747,3102,4367: 0,17,18,25,35,57,58,70,112,116,118,123,125,144,147,159,174,175,178,193,197,205,241,286,289,306,314,321,366,420,470,520,576,677,817,1115,1487,1495,1704,1804,2404,3631: 0,7,17,18,35,36,40,60,62,68,85,125,147,157,159,175,230,231,274,306,317,320,352,389,464,496,519,576,846,1166,1690,1799,1800: 0,21,52,84,87,108,118,119,124,138,144,188,192,202,218,283,315,349,370,371,385,389,438,465,472,496,499,567,578,624,675,735,736,818,826,1488,1610,2233,2628,2771,3405,3769,4255,4265,4269,4270,4524,4526,4566,4567,4568,4611: 0,18,21,52,54,93,144,338,352,385,536,649,819,821,1281,1952,3854,4254,4302,4303,4307,4371,4373,4393: 0,2,7,12,15,18,32,33,48,52,54,62,66,71,135,144,162,338,344,385,473,543,567,1049,1487,1633,2328,4393: 0,2,4,5,11,26,27,47,51,52,62,70,73,82,86,87,93,98,118,124,135,137,141,144,146,173,176,188,192,201,205,218,246,271,291,314,347,348,352,384,385,430,438,496,510,578,673,675,818,944,1468,2009,2240,4311: 0,16,18,40,42,47,51,52,54,69,94,118,129,144,165,192,199,205,269,291,332,339,384,385,386,389,445,496,523,570,571,599,826,930,1043,1079,1109,1110,1361,1435,1488,1574,2225,2261,2395,2402,3254,3838: 0,4,60,62,67,87,124,132,192,218,317,322,352,389,402,496,504,572,674,742,822,893,1150,2240: 0,31,52,53,57,76,113,117,119,124,130,144,190,193,205,208,231,352,385,651,661,675,990,1487,2044,3577,3641,4154: 0,49,52,86,124,144,150,173,177,205,240,255,314,316,348,385,495,565,680,773,1036,1057,2281,2581,2582,3595: 0,3,18,52,57,85,118,123,125,130,144,193,196,205,208,352,389,958,1964,3524,3664,3884,3983,4058: 0,3,16,17,18,25,44,52,91,116,126,144,145,169,205,314,327,352,389,398,444,495,525,678,1036,1964,3664,3884,3983,4058: 0,4,5,9,11,22,26,27,62,63,83,84,86,87,97,118,119,124,132,158,176,192,205,218,242,291,314,315,348,376,384,389,466,488,496,569,675,699,781,1074,1467,1495,1499,1563,1748,2129,2164,2183,2207,2222,2499,4271,4315,4354,4580: 0,4,20,52,62,65,75,78,124,132,177,205,242,244,260,352,379,385,390,1056,1380,1463,2206,2210,2225,4271,4315: 0,12,38,52,62,83,98,133,241,248,249,289,318,342,351,389,441,443,448,578,1045,1311,1472,1487,1669,1670,1795,1797,4078,4391: 1,144,213,242,337,385,389,390,750,1042,1204,1225,2241,2243,2457,2778,2802,3188,3215,4271,4307,4315,4317,4356,4397,4496,4521,4667,4674: 0,5,9,37,54,62,79,98,105,119,144,149,152,163,214,216,221,287,316,319,347,385,420,453,555,569,578,595,759,1036,1418,1507,1651,1852,2213,2219,2234,4078,4522: 0,46,117,124,170,242,250,308,389,410,461,504,517,1857,2233,4026: 0,6,15,21,24,30,77,80,97,101,119,124,131,205,238,309,385,389,629,635,675,695,727,740,1154,1222,1308,1454,1550,1655,1759,1769,1982,3283: 0,119,124,144,149,173,205,234,242,277,289,347,385,422,434,578,820,1045,1058,1122,1265,1471,2173,3567,4066,4254,4302,4303,4307,4371,4373,4375,4377,4470,4487,4513,4514,4525: 0,4,9,13,14,23,28,31,39,43,53,62,76,84,87,113,117,119,124,190,192,193,205,218,233,315,345,385,440,458,496,621,675,1015,1465,1484,1487,1811,1995,2477,2483,2849,2850,3437,3471,3997,4082,4221,4355: 0,57,118,144,174,193,205,288,314,347,385,389,440,503,577,578,615,625,673,675,701,1022,1118,1210,1465,1476,3437,3685,4082: 0,6,8,24,29,45,50,77,89,119,124,144,154,166,182,198,205,207,209,259,300,322,363,385,389,390,578,939,1116,1117,2131,3567,4376,4503: 0,2,4,5,9,13,14,19,22,23,28,31,39,43,46,47,51,62,70,84,86,87,92,98,99,109,113,115,117,119,124,177,190,192,193,197,205,218,219,235,279,291,314,315,348,384,385,389,401,438,458,496,503,568,578,621,646,673,675,814,818,824,1038,1041,1053,1465,1650,1808,1894,2214,2305,2436,2613,2641,2683,2714,2784,2819,2820,2821,2925,3012,3256,4256,4317,4334,4372: 0,20,62,64,98,144,177,236,244,260,347,385,578,680,1056,1463,1852,2019,3801,4271: 0,4,5,9,10,12,41,52,53,55,62,76,117,118,119,124,144,186,190,231,242,318,352,385,928,1487,1884,2037: 0,2,5,26,27,47,51,62,70,82,98,118,137,186,192,205,291,314,347,348,352,377,384,385,389,438,496,578,673,818,1884,4298,4476: 0,26,52,62,98,108,118,137,138,144,192,205,242,314,324,385,390,391,438,496,574,575,578,673,818,878,897,1056,1463,1852,2205,2214,3557,4255,4270: 0,5,7,17,18,20,54,58,59,62,68,118,177,205,231,338,470,536,569,575,741,876,918,984,1426,1449,1680,3585,4376,4520: 0,4,11,26,52,62,75,86,87,95,108,118,124,132,144,192,205,218,314,324,352,377,385,496,675,685,897,1067,1463,1519,1520,1521,2242,3567,3837,4270,4271,4315: 0,37,52,69,79,119,122,149,205,236,242,250,287,308,347,352,376,410,576,578,684,796,815,1070,1207,1216,1494,1547,1598,1621,1662,1771,1772,1773,2213,2234,2290,2320,2597,2675,2840,2841,3182,4257,4266,4271,4315,4349: 0,3,4,11,26,62,86,87,98,108,118,124,137,144,189,192,205,218,314,322,324,345,352,379,437,438,496,578,673,763,818,897,1067,1314,1463,1519,1520,1521,2005,2110,2242,2716,3262,3491,3499,3875,4270,4271,4315,4503: 0,3,4,52,62,66,98,101,118,124,136,144,205,240,345,352,387,437,540,578,606,652,763,1036,1072,1162,1314,2005,2110,2219,3499,3875,4271,4315: 0,4,11,13,23,26,39,52,62,86,87,92,118,124,173,192,218,234,314,355,385,437,496,537,654,675,781,1445,2960,4011: 0,26,32,52,54,62,110,118,144,171,192,203,205,210,281,314,336,385,403,496,638,685,737,841,944,959,1221,1657,1923,1945,2220,2225,2531,4140,4259,4314: 0,4,9,11,22,26,62,63,84,86,87,101,118,119,124,192,205,218,238,242,275,314,315,328,330,352,496,538,609,617,633,675,682,694,1037,1132,1143,1612,1923,2318,2381,2631,3104,3105,3673,4308: 0,52,53,117,124,144,204,205,215,236,257,310,385,660,1042,1080,1158,1250,1408,1882,1923,3798: 0,52,73,87,124,144,173,176,192,201,205,218,236,242,270,332,339,349,352,385,445,496,569,570,693,712,757,1043,1055,1061,1106,1107,1108,1313,1488,1748,2172,2186,2207,2225: 0,4,5,20,21,32,52,59,62,65,66,67,74,83,95,111,118,124,132,140,144,173,177,231,234,258,288,322,385,389,577,692,720,746,837,1078,1086,1134,1189,1478,1512,1565,1706,1707,1708,1709,2455,4258,4281,4519: 1,144,192,242,350,352,390,496,525,674,893,1036,1041,1474,1481,1488,1688,2230,2640,2766,4317,4322,4326,4337,4354,4367,4372,4380,4394,4398,4402,4403,4409,4412,4424,4425,4427,4440,4463,4486,4527,4553,4585,4636: 0,4,5,9,52,56,62,84,87,95,96,98,107,119,124,129,139,144,149,151,173,192,218,245,263,290,291,315,342,347,352,358,384,389,390,438,496,578,675,760,814,818,1008,1041,2216,3906,4101,4267,4317,4372: 0,26,32,52,62,69,118,133,144,192,228,229,248,249,314,351,389,424,459,460,496,532,533,841,904,905,1486,1492,1658,1659,2220,3516,4234,4259,4314: 0,49,86,101,124,144,150,205,240,242,289,314,316,348,385,424,495,569,1036,1487,1852,3676,3963,4271,4343: 0,6,8,22,24,29,30,31,34,54,77,86,89,113,119,124,144,149,173,176,193,259,314,320,322,343,348,352,466,568,666,816,1247,1470,1474,1652,1865,2053,2225,2439,2829,2973,3781,3840,4325,4363: 0,6,8,15,16,18,52,91,143,144,205,273,304,389,648,730,854,855,891,892,900,2178,3509,3652,3968: 0,4,5,10,12,19,38,41,52,62,72,96,98,124,144,173,205,290,347,352,385,389,433,578,1978,2577,3281,3749: 0,4,5,53,61,62,106,117,118,124,144,152,163,203,205,240,242,316,378,385,569,651,675,758,1036,1402,2166,2192,3579,3586,3779,4072: 0,37,79,119,122,149,164,205,239,241,242,250,287,308,347,389,410,466,578,619,815,840,1468,1621,1662,1771,1772,1773,2213,2234,2320,2375,2675,2840,2841,2977,3098,3182,4219,4311,4439: 0,13,14,23,28,36,62,98,144,153,205,242,294,295,347,352,377,385,496,578,818,1295,1852,1882,2085,3476,3498,3521,3586,3845,3894: 0,52,54,87,124,132,192,195,205,218,240,242,280,302,317,322,349,350,352,390,402,496,572,687,1036,1098,1479,1488,1911,1936,3167,3447,3645,4264,4271,4315: 0,4,5,10,12,41,52,62,74,118,124,132,144,173,234,322,389,667,675,953,1487,1513,1712,1713,1714,1715,1824,1944,2031,2102,2190,2718,4315: 0,2,5,7,15,18,19,21,62,66,78,85,125,128,175,178,206,318,352,389,424,464,545,581,585,870,954,1345,1474,1532,2145,3696,3826,3847: 0,5,7,18,35,36,40,52,62,120,144,175,205,352,360,384,496,519,787,807,992,1344,1418,1936,2146,2185,2573,2663,2756,3341,3771,3781,4287: 0,4,5,20,52,59,62,65,75,124,132,144,177,278,385,494,639,668,787,1418,2573,3386,3539,3713,3780,4464: 0,6,8,15,45,50,52,69,136,352,376,385,578,675,730,792,854,855,891,892,900,1493,2225,3478,4158: 0,52,87,124,134,144,177,192,218,270,284,332,339,349,369,385,445,496,569,570,675,693,712,792,969,1043,1061,1106,1107,1108,1487,1488,1748,1960,2207,2225,2952: 0,20,52,62,64,98,133,144,177,205,228,229,244,248,249,260,347,351,385,389,415,494,578,806,1056,1169,1170,1441,1463,1468,1927,2035,2160,2225,4311: 0,96,100,109,113,124,173,193,352,389,439,494,568,576,653,826,850,1305,2953,4501: 0,37,84,119,136,192,205,238,241,287,302,315,317,318,319,376,389,390,399,402,438,450,496,513,525,578,595,674,679,818,893,1020,1036,2219,2234,2239,2914,3235,4074,4328,4522: 0,18,118,125,231,385,415,675,819,821,1236,1940,2095,2937,3555,3644,4155,4254,4271,4302,4307,4315,4371: 0,9,13,14,22,23,28,37,39,43,62,79,84,92,97,98,105,111,115,118,119,149,187,192,214,236,265,287,314,315,347,385,415,438,450,496,513,557,578,673,818,1051,1268,1940,2067,2095,2213,2234,2239,2336,2478,2484,2854,2855,2856,3236,3555,3644,4155,4261,4271,4315,4328,4361: 0,2,9,62,98,119,129,142,149,151,152,221,231,242,290,318,319,323,347,352,385,453,569,578,1036,1312,1334,1486,2136,2219,3600,3918,4288,4300: 0,4,5,9,19,20,52,59,62,65,75,118,119,124,132,144,158,177,181,205,220,298,352,389,675,778,940,1020,1440,3553,4650: 0,4,5,11,26,27,52,62,80,86,87,97,118,124,144,177,178,192,218,284,285,291,314,348,352,384,496,812,1309,1917,1991,2082,2123,3782,4009,4105: 0,6,8,24,29,30,34,52,54,124,132,144,234,389,487,778,919,1040,1082,1161,2023,3746: 0,109,113,124,132,173,176,191,193,205,556,568,671,881,1054,4632: 0,100,109,110,118,155,191,193,210,219,236,314,336,348,390,568,593,675,863,1054,1055,1722,1831,1988,3228,3524,3662,4031,4385: 0,21,52,61,90,118,119,124,144,176,211,234,259,277,322,331,367,376,389,390,466,722,801,816,986,990,1013,1028,1333,1470,1485,3337,4173,4420: 0,4,62,96,98,118,124,129,144,173,201,218,240,290,347,349,385,486,496,548,569,578,608,675,818,880,1008,1036,1056,1361,1463,1485,1487,1488,1821,2139,2219,2642,2767,3019,3571,4255,4260,4269,4270,4316,4318,4382,4383,4392,4490,4524,4526: 0,129,144,186,205,242,281,314,347,385,389,478,495,574,578,638,673,897,1036,1045,1464,2208,2219,2237,2901,3688,4318,4392: 0,4,46,52,60,62,69,106,117,124,129,144,152,240,302,310,389,478,569,747,823,1036,1136,1312,1558,1717,2230,2352: 0,6,8,24,29,52,61,75,77,84,87,89,118,119,124,132,133,158,181,192,205,224,225,318,351,356,357,459,460,573,675,743,823,1663,1664,1751,1780,1781,1782,1783,2230,2259,2425,2523,2843,2844: 0,86,101,124,136,205,308,314,348,389,415,461,548,578,619,673,1771,1803,1821,2431,3597: 0,6,8,24,29,52,61,77,84,87,89,119,124,144,178,192,224,225,259,281,318,322,356,357,376,440,467,478,573,743,882,883,1239,1375,1377,1474,1663,1664,1751,2090,2259,2425,2523,4222: 0,4,36,46,60,62,67,88,117,124,144,205,218,317,352,389,390,496,674,822,846,959,1077,2149,2153,2363,2652,2735,3061,3294,3765,4117: 0,144,178,201,308,314,381,385,415,808,812,926,970,1042,1216,1241,1255,1472,1623,1705,1775,1803,1866,2048,2598,4271,4314,4315: 0,3,4,9,11,22,26,52,60,62,63,67,84,86,87,102,118,119,124,132,144,158,192,218,226,259,261,314,315,317,322,352,394,402,430,496,572,674,676,678,756,893,2032,2263,2536,2537,2538,2539,3979: 0,22,31,54,57,73,86,113,119,121,124,130,149,164,173,174,176,193,203,205,208,242,314,347,352,389,466,498,503,578,673,932,942,995,1468,2088,2228,2283,2406,2449,2824,2825,3226,4311,4459: 0,52,75,119,124,132,158,181,218,242,315,352,496,1006,1337,1431,1487,2051,3612,4308: 0,5,13,14,19,23,26,27,28,39,43,52,62,92,98,104,115,118,137,144,192,219,235,242,291,314,321,343,347,348,352,355,384,388,401,438,447,496,578,671,673,818,1873,4009: 0,4,13,14,23,28,39,43,52,54,62,86,87,92,97,98,115,124,127,144,173,192,194,218,242,310,314,347,393,438,446,496,515,578,671,673,818,1487,1852,1867,1873: 0,4,11,26,62,86,87,96,98,118,124,137,144,173,192,201,218,231,290,314,318,330,347,385,438,478,496,578,608,617,673,694,818,880,1037,3617,3632,4308: 0,4,13,14,23,28,39,43,46,62,86,87,92,97,115,117,124,127,192,194,205,218,242,314,385,389,393,428,446,496,675,1141,1260,1505,1605,1611,1625,3090,3612,4352,4657: 0,22,86,118,119,124,149,173,205,219,234,259,277,314,318,322,348,349,385,386,415,423,494,624,633,682,816,1132,1470,1488,1733,1854,2173,2238,3103,4196: 0,18,40,42,47,51,80,87,101,118,124,129,136,144,165,192,199,205,218,237,269,274,286,291,332,339,349,384,386,424,438,445,496,523,569,570,571,576,578,599,675,712,812,818,977,985,1043,1079,1109,1110,1488,1574,1643,2170,2225,2261,2395,2402,3206,3310,3767,3801,4269: 0,5,7,15,18,62,85,118,125,128,144,177,178,196,205,206,341,385,812,870,1881,4352: 0,5,21,36,52,62,98,120,129,153,177,290,320,347,352,384,385,496,569,578,814,818,826,1145,1165,1205,1266,1363,1466,1613,1901,2216,2228,2231,2895,4267,4271,4315,4317,4365,4372,4464: 0,4,11,26,52,54,60,62,67,86,87,118,124,144,176,192,218,226,234,242,261,284,314,317,322,390,394,402,436,496,559,674,678,722,757,788,797,816,823,893,1370,2032,2191,2263,2536,2537,2538,2539,4115,4500: 0,3,37,54,61,119,136,186,205,212,238,287,301,307,354,385,399,578,623,679,715,716,734,1062,1069,1130,1155,1206,1223,2234,3564,3566,3892,4041: 0,3,37,54,61,79,119,149,186,205,277,287,299,347,385,389,578,1045,1122,1471,1490,2213,2234,2236,2776,3564,3566,3892,4041,4254,4262,4273,4307,4377,4395,4487: 0,73,118,119,124,144,149,164,173,176,204,205,215,257,333,389,407,414,466,675,2144,4625: 0,36,52,62,66,178,352,389,496,506,571,666,675,682,829,926,1224,1241,1267,1322,1380,1766,1794,4039,4676: 0,5,19,52,62,98,144,219,314,347,348,384,385,389,401,496,569,578,673,818,1411,1853,2568,3410,3449,4455: 0,23,28,39,43,47,51,87,96,124,142,144,165,168,173,183,192,195,205,217,218,234,240,289,290,318,320,347,349,350,352,378,390,392,438,496,529,553,556,578,731,818,843,844,873,998,1036,1045,1311,1486,1487,1488,2219,2916,3807,4142,4269,4296: 0,57,80,101,113,124,130,136,193,208,236,237,241,254,318,352,385,389,503,578,1386,2048,3748: 0,2,5,32,62,66,118,252,376,389,569,1246,1331,2173,2437,3185,3383,4279,4285: 1,101,124,173,213,385,390,411,535,675,724,820,1058,1121,1225,1226,1601,2293,2775,3203,3803,4254,4263,4271,4302,4307,4310,4315,4371,4438,4444: 0,31,113,119,124,129,132,144,158,193,205,233,259,322,352,385,389,568,572,675,676,677,1099,1305,1335,1484: 0,15,57,130,193,208,290,347,352,385,494,503,578,675,804,1474,1492,2181,2231,3422,3599,4301,4504: 0,52,57,121,130,136,174,193,208,279,314,352,376,385,498,503,578,637,673,823,1274,2231,3469,3569,4064,4352: 0,2,4,5,9,19,31,47,51,52,57,62,66,84,87,109,113,117,119,124,190,192,193,197,218,235,279,291,315,318,384,385,388,389,401,496,523,568,571,630,719,1160,1274,1526,1539,1852,2231,2465,3469,3569,4064,4086,4271: 0,57,97,113,124,129,130,132,172,180,193,208,234,322,352,385,494,556,565,651,756,817,1051,2147,2232,3348,3773: 0,124,144,178,352,379,385,465,499,558,687,820,1058,1093,1095,1218,1219,1261,1481,1489,2225,3582,4010,4030,4254,4307,4388,4464: 0,4,5,10,12,19,41,52,53,62,72,117,118,124,144,178,241,318,385,389,670,1305,3788: 0,3,4,5,9,10,12,15,41,52,53,55,62,76,117,119,124,144,190,205,385,390,774,936,994,1002,1414,1494,1735,1845,3784: 0,3,15,16,18,21,52,94,144,205,289,385,390,774,819,821,936,994,1002,1414,1494,1880,3784,4254,4302,4303,4307,4371,4373: 0,3,21,49,52,86,124,144,176,205,234,240,289,314,322,385,389,390,495,561,574,722,816,897,936,994,1002,1036,1375,1414,1464,1494,1880,2237,4318,4392: 0,22,31,86,100,113,119,124,132,144,155,158,185,193,217,259,314,322,352,385,572,594,676,774,971,994,1120,1423,2385,2705,3119,3120,3333,3598,4029: 0,4,5,19,46,62,117,124,144,252,352,389,765,792,1050,1246,2021,2437,3804: 0,16,17,18,21,57,94,123,126,130,144,185,193,205,208,352,366,385,389,397,765,1267,1414,1423,1880,3356,4183,4217,4652: 0,4,11,26,46,52,62,66,86,87,117,118,124,144,174,178,192,218,314,385,389,416,496,523,545,571,1369,1475,1869,2106,3968: 0,4,9,14,28,31,43,62,84,87,98,113,119,124,144,149,173,192,193,218,234,277,315,320,347,385,388,389,437,438,458,463,496,503,537,569,578,630,719,781,814,818,1038,1041,1045,1057,1159,1160,1242,1557,2187,2216,2791,2904,2960,3145,3444,4200,4317,4372,4441,4521,4558,4602: 0,21,22,31,53,54,57,70,76,86,113,117,119,124,174,190,193,197,216,255,283,289,314,348,385,389,472,480,503,568,578,673,675,677,878,887,1049,1495,1516,1982,2214,2241,2698,4139,4652: 0,6,8,24,29,30,34,45,50,52,77,89,96,119,124,144,149,151,173,205,290,347,388,389,578,971,979,2075,2965,3074,3304,3643,4132,4156: 0,6,8,24,29,46,77,89,97,99,117,119,124,154,182,190,254,385,389,487,675,919,971,1161,1451,1473,2863,3264,3501,4156: 0,2,4,5,53,62,117,118,124,128,144,178,206,222,231,254,352,385,424,581,687,956,963,1489,3479,3839,4132: 0,22,49,52,86,119,124,129,132,158,180,205,234,240,242,259,266,277,314,319,322,342,361,385,420,444,495,502,525,678,991,1036,1826,1852,2686,3026,3027,3028,3511,4271,4464,4504: 0,15,21,86,96,100,113,124,134,155,173,178,193,234,236,279,314,322,352,385,390,504,562,648,807,812,2256,2428,2511,2512,2682,2783,2876,3244,3250,3407: 0,6,15,24,30,69,74,118,124,131,132,144,166,173,177,234,236,286,288,322,352,577,629,635,695,727,746,911,988,1154,1189,1222,1478,1512,1550,1706,1707,1708,1709,1759,2396,2604,3154,4138,4258,4281,4519: 0,2,7,12,16,18,32,33,48,52,62,67,71,95,111,114,118,144,205,282,341,344,352,543,812,1633,2266,2328,2541,4198,4355: 0,2,4,5,7,10,12,16,18,32,33,38,41,48,52,62,71,98,117,124,144,241,264,292,379,389,494,504,545,578,656,2214,2326,2736,2935,3298,4315,4414,4507: 0,4,13,14,15,23,28,36,46,62,88,117,124,218,294,295,318,352,389,496,675,3646,4178,4179: 0,52,87,118,124,144,173,192,195,218,231,235,240,242,347,349,350,389,390,401,438,486,496,578,639,653,675,686,818,873,1036,1090,1488,2219,2238,2661,2671,2773,3113,3325,3541,3980,4269,4464: 0,3,4,5,11,26,27,52,53,62,86,87,117,118,124,144,148,177,192,205,218,291,312,314,318,348,384,385,496,796,935,949,1921,3768,4076,4287: 0,3,52,100,113,118,124,132,148,177,193,312,318,385,389,456,568,796,801,949,1113,1921,2350,3024,3266,3768,4076,4287,4315: 0,2,7,17,18,25,26,35,40,42,47,51,52,62,68,70,82,85,116,118,141,144,146,147,156,157,192,205,230,246,271,297,314,345,352,385,389,496,510,1057,1157,1326,1624,1716,1827,2616,2643,2723,2944,3029,4352: 0,4,5,9,11,22,26,27,52,54,62,63,81,84,86,87,96,118,119,124,149,151,155,173,192,205,218,282,291,312,314,315,348,384,385,496,549,618,652,826,1213,1305,1493,1755,2186,2267,2426,2542,2543,2544,2545,4367,4479: 0,2,4,10,12,33,38,46,52,62,98,117,118,124,381,389,485,556,578,1053,1304,2214,2748,3320,3763,4142,4204: 0,4,9,13,14,22,23,28,39,43,61,62,78,81,84,86,87,92,115,119,124,132,149,158,168,173,183,192,218,240,314,315,319,320,375,385,390,467,496,556,675,921,1036,1052,1187,1239,1314,1356,1449,1949,2886,3139,3140,3349,3974,4168,4275: 0,4,5,52,62,74,81,102,118,124,128,132,144,173,178,205,206,222,234,322,488,494,807,970,1004,1451,3431,3859,3964,4665: 0,18,42,51,61,69,118,125,144,165,177,192,199,205,269,291,305,332,352,379,386,389,523,570,685,976,1046,1109,1110,1488,2941,3070,3205,3300,3486,3795,4075,4471: 0,20,62,64,67,93,98,144,177,205,376,385,463,578,638,810,999,1078,1974,3645,4271,4315: 0,2,4,11,21,26,47,51,53,54,62,70,82,86,87,98,117,118,124,137,144,192,218,236,278,314,318,385,395,412,438,496,569,578,673,680,685,703,708,814,818,878,1041,1354,1518,1614,1637,1743,2045,2214,2221,2235,2319,4256,4317,4334,4372: 0,13,14,23,28,39,43,52,62,92,97,98,115,127,144,192,205,236,241,258,288,290,314,347,373,389,393,438,446,484,496,515,577,578,673,818,1044,1476,2082,2211,2654,2694,2738,3301,3678,3828: 0,4,10,12,32,38,52,54,62,66,71,98,118,124,162,173,205,347,385,389,578,648,1319,1485,4197,4354,4658: 0,46,52,117,124,144,218,242,389,425,496,669,674,2209,3216,4322,4326: 0,3,4,21,53,62,112,117,118,124,216,218,240,242,289,349,385,424,496,548,675,1036,1056,1057,1463,1487,1488,2059,2133,3899,4068,4255,4270,4316,4318,4382,4383,4392,4490,4524,4526: 0,3,53,86,87,108,112,113,117,118,124,138,192,193,216,218,242,289,314,385,390,496,548,574,620,675,689,897,1057,1287,1487,1809,2059,2133,2823,4068,4255,4270: 0,5,9,12,37,38,41,52,55,62,98,105,119,144,177,190,205,214,287,389,396,442,578,675,1203,1436,2214,2234,2374,2975,4280,4315,4414,4491: 0,2,4,9,10,12,32,33,38,52,55,62,69,71,98,118,119,124,149,173,312,347,388,389,578,580,582,590,616,796,814,1408,1493,1668,2216,2910,2930,4079,4317: 0,52,74,118,119,122,124,132,144,149,158,170,173,204,205,215,234,239,250,257,259,277,318,322,329,407,435,700,795,829,1112,1253,1318,1469,1540,1674,2154,2454,3264,3501,3653,4197,4257: 1,284,289,385,389,390,828,1490,1504,1639,1731,2236,2931,3188,4183,4254,4271,4283,4302,4305,4307,4313,4315,4317,4371,4375,4380,4421,4464,4489,4513,4514,4521,4525: 0,6,8,52,54,110,118,144,252,336,346,385,389,413,680,691,729,833,898,1317,1722,1831,1988,3194,3195,3510,3849,4147,4174: 0,4,5,7,15,18,19,58,62,98,110,124,128,161,171,178,206,222,234,247,279,320,352,368,408,424,457,471,516,578,585,709,814,870,958,1042,1045,1364,1409,1474,2217,2830,3787,3891,4174,4317,4521: 0,4,5,10,12,32,41,52,62,71,75,124,132,236,242,251,318,352,389,413,1343,1579,1721,1830,1938,2355,2728,3416: 0,2,4,21,47,62,66,70,86,98,101,103,124,136,142,144,165,170,174,218,223,231,240,250,269,314,349,385,387,389,409,496,571,578,600,673,684,687,815,818,869,1036,1487,1488,1489,1523,1528,1898,2219,3520,3924,4146,4269: 0,4,11,15,26,62,86,87,98,108,118,124,137,138,173,192,218,314,324,347,352,385,389,391,438,496,574,578,673,818,897,962,1056,1364,1387,1463,2100,2123,3706,3783,4255,4270,4520: 0,4,5,20,21,59,62,65,83,124,143,177,178,205,318,389,436,465,499,675,699,837,1628,1823,1898,1918,3690: 0,2,4,21,46,62,106,117,124,142,144,152,240,323,385,389,569,1036,2123,3783,3889,4187: 0,18,35,40,42,52,144,177,192,199,205,332,339,359,385,389,445,496,570,599,680,828,1043,1287,1488,2225,2292,2600,2601,2602,3621,4355: 0,144,193,288,320,347,503,556,577,578,625,786,1474,1917,3265,3673,3849,3963,4149,4494: 0,4,9,21,62,74,81,84,87,118,119,124,132,144,149,158,173,178,192,234,259,277,320,321,322,329,352,390,485,552,748,860,861,901,902,920,1040,1167,1168,1198,1199,1200,1411,1474,1493,3066: 0,4,15,32,36,52,62,74,88,118,124,132,144,173,218,234,320,322,352,385,496,562,972,1088,1295,1628,1823,1918,1996,2220,3369,3974: 0,2,4,5,19,36,47,62,66,88,117,120,124,140,191,218,243,318,352,384,401,496,506,571,698,829,1043,1054,1085,2285,2589,2590,3840: 0,15,22,31,78,84,86,87,113,119,124,192,193,291,314,348,370,382,389,499,568,1492,2528,4259,4272,4282,4314,4320,4379,4396,4399,4413,4464,4518,4552: 0,113,117,124,177,187,193,289,389,812,1493,2231,3693,3703,4315,4379,4391,4507,4655: 0,2,4,5,36,46,47,62,88,117,118,120,124,205,218,243,285,352,384,385,389,496,1483,1996,2382,2750,3112,3323,3975: 0,4,13,14,23,28,36,62,88,98,101,124,136,153,173,218,255,294,295,347,352,389,496,578,818,2153: 0,4,5,10,12,21,41,46,52,62,117,124,318,385,389,657,2173,3530,3558,3713: 0,87,124,129,132,144,177,180,192,205,218,234,322,332,339,349,352,385,445,496,570,712,1043,1328,1480,1488,2083,2225,2292,2351,2600,2601,2602,3030,3031,3032,3271,3426,3636: 0,5,15,32,36,52,62,98,120,136,144,153,205,318,320,352,384,385,496,578,670,812,818,945,977,1088,1389,1487,1579,2220,2530,4467: 0,3,62,97,98,108,118,127,138,192,314,347,385,390,438,496,515,574,578,673,697,814,818,830,897,1041,1056,1145,1205,1266,1453,1463,1466,1613,1646,2216,2636,2708,3580,3770,3811,3969,4160,4255,4256,4270,4271,4315,4317,4372: 0,3,80,87,97,101,118,124,144,172,177,192,195,218,240,302,317,349,350,385,390,402,496,1036,1098,1453,1466,1487,1488,2240,3167,3580,3770,3811,3969,4160,4315: 0,6,8,24,29,61,77,89,119,124,144,176,224,225,343,352,356,357,389,431,466,474,502,975,1262,1320,1327,4151,4306: 0,52,80,118,124,144,170,172,204,215,223,239,250,257,310,352,389,485,497,524,684,747,1419,1469,1884,1893,4240,4257: 0,4,5,21,56,62,87,96,98,103,107,118,124,129,139,144,173,192,218,263,290,291,347,384,438,496,578,818,1472,2140,2173,3629: 0,4,5,9,11,22,26,27,62,63,84,86,87,102,112,118,119,124,132,141,144,146,158,192,218,234,246,259,271,277,291,314,315,322,348,384,385,389,479,496,510,544,687,999,1185,2987,4044: 0,4,9,20,52,62,64,65,98,119,124,144,149,173,177,205,244,260,298,347,385,390,433,578,607,669,814,937,1056,1463,1487,1987,2216,2915,2970,4317: 0,6,8,24,29,51,54,69,87,103,111,118,124,129,132,144,166,180,192,198,207,209,234,322,385,569,1428,1599,1600,2596,2632,2796,2800,3121,3122,3338,4259,4641: 0,4,13,14,23,28,36,62,81,88,96,98,118,124,153,173,218,290,294,295,321,347,352,385,389,424,496,578,818,1974,2161,2228,2895: 0,3,31,73,100,113,119,124,129,144,148,149,164,173,176,193,205,311,320,352,385,466,552,568,756,1113,1294,1413,1842,2427,2444,3109,3239,3420,3686: 0,3,31,52,57,113,119,124,129,130,132,144,148,158,180,193,205,208,234,259,277,311,320,322,352,361,385,425,552,748,756,1198,1199,1200,1413,1487,1640,2364,3420,3686: 0,12,21,38,52,62,83,98,144,184,205,231,290,347,385,441,443,448,578,675,944,1017,1451,1472,3791: 0,4,5,15,20,52,59,62,65,96,101,124,143,144,177,205,320,385,562,779,2240,2964: 0,4,9,11,15,22,26,52,62,63,67,75,84,86,87,118,119,124,132,158,181,184,192,205,218,261,314,315,320,389,390,496,674,678,893,1855,2089,2311,2345,2609,2638,2679,2710,3002,3247,3408,3650,3677,4368: 0,16,17,18,21,25,44,52,91,116,126,144,145,150,169,205,289,314,316,320,327,348,389,398,495,978,1036,2141,4089: 0,81,144,150,205,288,314,316,321,348,352,389,390,495,577,642,1036,1476,1897,2212,2807,4153: 0,2,4,5,11,26,27,47,51,53,62,70,82,86,87,117,118,124,144,192,205,218,242,289,291,314,318,348,352,384,385,496,642,822,1049,1384,1897,1970,1975,2069,4055,4121,4386,4636: 0,4,9,10,12,19,52,55,62,69,72,117,119,124,134,144,189,190,241,494,500,924,948,1040,1181,1636,1741,2180,2332,2980: 0,52,62,81,98,118,193,321,347,352,385,440,503,575,578,620,689,817,1032,1036,1056,1334,1463,2075,2180,2219,4318,4392,4445: 0,5,19,52,62,98,118,144,152,163,177,221,236,290,316,347,352,385,421,430,490,509,569,578,686,713,814,825,1036,1355,1494,2055,2216,2219,2912,4001,4263,4267,4310,4317,4331,4527,4594,4605: 0,2,7,16,18,25,26,40,42,47,51,61,62,70,78,82,91,118,144,192,297,314,389,496,1852,3675,3767: 0,6,8,18,25,30,34,35,42,69,100,118,123,148,155,175,192,193,273,291,304,314,348,352,360,385,430,500,568,618,1048,1113,1404,2550,4152,4362: 0,2,4,52,62,106,124,142,144,152,176,205,234,240,322,323,385,390,569,722,816,968,1036,1422,1933,2015,2076,3461,3558,4024,4214: 0,18,40,44,52,54,58,110,118,124,129,144,161,186,218,231,234,240,242,303,334,345,368,385,403,408,457,471,496,547,578,818,864,903,1036,1042,1045,1049,1126,1355,1357,1422,2196,2219,2371,2899,2923,2927,2934,2942,2958,3771,4255,4270,4317,4318,4372,4392,4521,4527: 0,4,5,10,12,38,41,52,62,98,101,124,136,144,205,352,385,389,578,1322,1380,2117,3966: 0,73,118,124,144,173,176,205,288,347,385,389,575,577,578,820,1058,1243,1273,1468,1602,1778,1957,2196,2991,3405,3571,3986,4254,4271,4307,4311,4315,4377,4400,4487,4496,4528,4530: 0,20,52,62,118,144,177,205,244,260,385,675,685,926,1019,1056,1224,1255,1463,1627,2233,3981,4271,4315,4457: 0,3,73,118,119,124,149,164,173,176,204,205,215,257,333,352,407,434,466,497,660,1047,1080,1158,1250,2004,2197,2399,2462,3455,4143,4245: 0,3,7,17,18,35,36,40,58,60,62,68,118,125,144,147,157,159,175,205,306,317,345,352,416,422,434,470,496,519,520,660,846,1047,1166,1704,2004,2059,2197,3455,4143,4245: 0,57,109,112,144,193,197,205,231,242,290,347,352,385,503,556,568,578,687,1960,2120,2405,3225,3656,4370: 0,124,132,144,170,204,215,231,239,250,257,318,322,352,390,572,647,671,687,700,770,829,1057,1112,1268,1469,1879,1960,2120,2344,3000,3001,3246,4257: 0,4,11,26,52,54,60,62,86,87,96,98,118,124,137,144,173,191,192,201,205,218,226,290,314,317,347,385,394,402,438,484,496,504,578,608,650,673,680,818,880,1474,1629,1718,1828,2312,2619,2646,2687,3039,3412,4271,4315: 0,2,4,5,9,11,19,22,26,27,47,51,52,62,63,66,70,82,84,86,87,96,98,104,112,118,119,124,137,144,149,151,173,174,192,201,218,219,235,290,291,314,315,347,348,384,385,401,426,438,484,496,523,571,578,608,634,673,680,702,707,710,726,791,818,853,880,1060,1063,1103,1104,1105,1127,1475,3111,3856: 0,2,13,14,23,28,36,47,52,62,98,118,144,153,242,243,294,295,347,352,496,578,818,1042,1416,1454,1852,1998,2003,2277,2569,2570,3417,3502,3856,3857,3972: 0,4,5,9,10,12,19,38,41,52,55,61,62,69,72,98,101,119,124,132,136,144,149,158,172,173,176,201,205,231,238,259,284,322,347,385,466,578,816,1309,1401,1466,1470,1509,1635,1693,2235,2981,4147,4311,4374,4422,4488,4499,4503,4581,4582: 0,80,86,90,101,118,124,172,211,279,314,318,385,389,574,690,728,897,1352,1868,3512: 0,52,62,98,144,177,192,231,330,347,438,496,578,675,776,808,818,1012,1037,2621,2649,2734,3058,3293,4308,4340,4451: 0,18,25,44,52,58,70,85,142,143,314,316,344,348,389,439,464,543,567,675,687,1036,1617,1900,2397,2441,2697,3080,3081,3083,3462,4608: 0,4,62,96,98,124,144,173,191,205,218,240,242,290,347,349,352,385,496,557,565,569,578,653,818,1036,1056,1463,1487,1488,2003,2219,3705,3990,4016,4206,4255,4260,4269,4270,4316,4318,4348,4382,4383,4392,4490,4524,4526: 0,52,86,100,113,124,132,144,155,178,193,314,378,455,501,675,989,1586,2056,2178,2575,2868,3242,3698,4271,4315,4367,4453: 0,4,5,20,52,59,62,64,65,80,98,101,124,136,144,177,205,237,378,578,809,1331,1685,1697,2056,2178,3387,4047,4271,4287,4315,4453,4461: 0,6,8,15,45,50,144,201,231,347,389,390,463,578,639,675,730,781,854,855,891,892,900,1028,1045,2904,3919,4271,4315: 0,46,117,124,144,170,178,242,250,278,308,385,389,410,461,517,832,896,1866,2205,4447: 0,2,5,7,16,17,18,19,25,26,27,40,42,47,51,62,68,70,82,91,104,116,118,126,144,156,157,192,205,219,235,291,297,314,346,348,384,389,390,398,401,496,680,793,1027,1157: 0,15,52,86,124,132,144,217,314,318,321,322,352,382,389,437,439,498,547,572,675,1039,1354,2036,3541: 0,49,86,101,124,136,150,186,205,240,255,279,314,316,318,348,352,385,495,578,673,1036,2208,2219,2225,4350,4510,4626: 0,4,5,9,22,46,62,86,98,99,117,119,122,124,144,160,170,179,190,205,239,240,250,262,296,314,316,319,348,349,352,376,386,389,578,601,624,673,675,777,815,829,1036,1053,1283,1488,2214,2219,2715,3258,3887,4269,4480: 0,49,52,86,101,124,129,144,205,240,242,275,314,328,352,385,429,495,574,669,681,897,963,1006,1036,1464,1847,1941,2237,2240,2706,4009,4318,4392,4671: 0,49,52,86,96,102,124,144,150,173,205,240,290,314,316,347,348,389,419,495,578,673,1036,1459,1933,2162,2165,2208,2216,2219,3988,4256,4267,4317,4515,4527: 0,4,10,12,38,52,60,62,67,98,114,124,144,173,232,234,289,326,347,419,556,569,578,785,1045,1381,1482,1941,2743,3093,3314,4300,4338: 0,2,4,5,9,11,22,26,27,46,47,51,62,63,69,70,82,84,86,87,98,99,117,118,119,124,137,190,192,205,218,242,289,291,314,315,348,384,389,438,496,578,673,771,818,1053,2214,3941,4343: 0,2,20,62,66,118,129,140,144,177,217,258,288,318,352,353,373,385,494,563,577,642,692,720,931,1086,1448,2159,2556,4368,4378: 0,2,5,7,12,18,19,33,41,48,52,62,72,85,125,140,144,205,236,385,415,439,440,449,579,584,768,1042,1900,2117,2200,2330,2752,3334,3548,4250,4378: 0,22,31,86,97,100,101,109,113,119,124,132,144,149,155,158,173,176,177,188,189,193,202,219,231,236,238,259,314,322,348,352,466,568,576,816,850,1470,1567,1693,1819,2448,2681,2782,2881,2981,3003,3004,3249,3400: 0,22,31,86,113,118,119,124,132,158,193,208,259,282,289,314,318,322,348,352,498,556,568,572,576,676,677,1055,1327,1495,2034,2218,2559,2681,2782,3003,3004,3249,3400,4235,4250: 0,4,5,11,19,26,27,53,62,86,87,98,104,117,118,124,137,144,192,205,218,219,235,236,242,291,314,318,348,352,384,385,395,401,412,438,496,578,673,685,703,708,814,818,878,945,970,1041,1318,1518,1614,1637,1743,1865,2214,2221,2319,3750,4256,4317,4334,4372: 0,2,4,11,26,47,51,62,70,82,86,87,101,118,124,144,192,218,242,314,389,390,496,793,945,1898,1909,1936: 0,4,11,26,52,62,67,75,86,87,118,124,132,144,192,205,218,242,261,314,389,496,674,678,893,1575,1576,1753,1754,2041,2087,2156,4300,4322,4326,4402,4424: 0,2,9,12,32,33,37,38,52,55,62,66,69,71,93,98,105,118,119,136,144,148,162,205,214,238,287,385,396,399,442,578,675,679,794,831,848,931,1270,1480,2225,2234,4040,4097: 0,4,5,36,62,88,98,101,118,120,124,136,148,153,205,218,253,352,384,385,389,496,578,818,923,931,1140,1201,1270,1480,2340,2656,4040: 0,52,119,122,124,129,132,144,158,170,180,185,204,215,234,239,250,257,259,277,322,361,390,407,764,2104,3439,3826,4271: 0,4,5,11,26,27,62,86,87,118,124,144,173,176,192,218,234,254,291,314,322,348,384,496,784,1001,1852,2704,3330,3550,4271: 0,4,9,11,22,26,52,62,63,84,86,87,93,108,118,119,124,132,138,144,158,192,218,254,259,314,315,322,324,352,385,391,477,496,550,572,574,676,897,1056,1271,1463,2016,2157,2385,2705,3119,3120,3333,4029,4255,4270: 0,4,21,36,62,88,124,132,146,173,176,218,231,246,352,389,496,556,811,881,928,1092,1498,1561,1562,1729,1730,1836,2101,2367,2740,3073,3890,3999,4291: 0,4,5,21,52,62,86,124,132,144,160,170,173,176,179,239,240,250,262,314,316,348,349,376,386,389,556,811,881,1036,1488,1729,1730,1836,2101,2116,2210,2367,2696,2740,3073,3423,3890,4291: 0,6,8,24,29,52,87,108,118,124,132,138,144,192,322,352,376,385,389,559,572,675,691,729,833,898,955,1427,1428,1649,1807,1872,1889,2632,2796,2800,3121,3122,3338,3373,3868: 0,231,252,347,383,385,390,578,825,1045,1055,1273,1324,1926,2216,3188,3373,3681,3979,4254,4302,4307,4313,4317,4371,4377,4487,4521: 0,4,5,9,10,12,38,41,52,55,62,69,96,98,119,124,149,151,173,286,290,347,383,389,429,578,675,757,1849,2967,3152,3153,3924: 0,5,7,12,16,18,41,48,52,62,93,94,111,118,144,352,385,415,421,569,1330,1951,1952,2104,2117,2136,2257,2330,2514,2752,3334,3960: 0,93,118,124,129,170,173,205,215,250,257,347,385,493,504,550,578,752,815,827,832,896,1175,1427,1506,1514,1522,1620,1642,1647,1648,1698,1720,1758,1805,1829,1912,1915,2225: 0,3,52,124,129,170,173,204,215,239,250,256,257,347,385,493,550,578,752,815,827,972,1175,1506,1514,1620,1642,1647,1648,1698,1720,1805,1829,1915,2225,2434,3881: 0,2,3,7,12,18,32,33,48,52,58,62,66,71,125,129,162,175,256,305,313,385,389,493,502,550,752,831,848,946,972,1427,1912,2225,2323,2349,2717,2939,3020,3021,3022,3023,3263: 0,81,124,129,170,173,204,215,239,250,257,347,389,493,550,578,815,827,1175,1506,1514,1620,1642,1647,1648,1698,1720,1805,1829,1915,2072,2434,3376: 0,2,7,12,18,32,33,48,52,58,62,66,71,125,129,162,175,305,313,389,502,550,831,848,946,1912,2225,2323,2349,2717,2939,3020,3021,3022,3023,3263,3376,3570: 0,4,53,62,81,86,87,97,108,117,118,124,127,138,144,185,192,194,216,218,314,385,413,496,574,680,697,830,897,1056,1463,1870,2303,2610,2639,2680,2711,3248,3367,3651,3698,4031,4255,4270,4619: 0,52,62,98,141,144,177,188,192,193,202,242,246,271,278,290,314,347,438,440,503,578,673,745,1045,1217,1269,1275,1354,1553,1901,2733,3292,3879: 0,4,5,46,62,67,103,117,118,124,128,178,206,222,258,372,389,577,610,746,1026,1134,1478,1710,2347,2430: 0,22,31,52,57,73,84,86,87,113,119,121,124,130,144,149,164,173,174,176,192,193,205,208,216,242,314,318,347,352,385,438,466,486,498,503,523,551,563,570,578,591,634,653,673,702,707,726,782,791,1031,1468,1968,2146,2847,2848,3234,3905,4311: 0,16,18,25,44,52,91,97,118,129,144,145,150,205,314,316,348,389,495,1036,2152,3948: 0,6,8,30,34,45,50,52,144,192,205,252,290,291,347,385,389,438,485,564,578,783,1926,2016,2066,3691,3948: 0,7,18,40,42,52,56,58,62,98,108,118,129,138,139,144,192,214,385,389,438,496,578,605,818,842,960,1013,1045,1056,1057,1463,1478,1496,1671,2127,2234,2239,3173,3184,3196,3362,3373,4255,4270,4284,4328,4330,4395,4431: 0,2,4,5,9,51,52,62,66,84,87,96,119,124,143,144,149,151,173,192,291,352,385,482,523,762,806,1451,1678,1815,2400,2875,3482,3837,4295: 0,4,9,13,15,22,23,52,62,86,92,97,119,122,124,144,168,170,205,218,231,240,250,259,314,315,319,322,349,385,409,414,421,467,496,529,600,624,651,882,883,1036,1239,1488,1762,2021,2521,2522,2729,2808,3162,3163,3286,3510,3719,4205: 0,62,144,177,314,352,385,389,477,556,574,675,764,814,897,1036,1055,1056,1252,1417,1463,1492,1497,1549,2852,3199,3200,3428,3743,4256,4317,4318,4392,4527: 0,4,5,11,26,27,62,81,86,87,96,118,124,144,155,177,192,218,236,291,314,348,352,384,477,496,504,556,618,1057,1213,1417,1755,2267,2426,2542,2543,2544,2545,2721,3268,3596: 0,18,35,42,52,58,100,118,123,125,144,175,177,192,193,202,477,520,618,949,1010,1302,1869,1913,3220,3396: 0,4,52,62,69,81,86,124,129,132,144,186,240,314,321,322,352,385,477,544,556,572,574,653,897,932,1036,1056,1252,1463,1497,1549,1672,2034,4318,4392: 0,16,17,18,94,97,126,144,172,177,188,202,352,385,397,473,556,817,819,821,1055,1123,1227,1417,1490,2236,2280,2579,4254,4288,4307,4321,4327,4663: 0,5,7,17,18,19,25,35,42,54,58,62,68,81,109,116,123,144,147,156,192,193,219,235,291,314,321,348,352,366,389,440,470,477,568,745,1040,1292,1483,1538,1568,1569,1570,1673,2254,2464,2505,2853,3706,4180: 0,2,5,7,12,18,33,35,41,48,52,61,62,66,85,162,175,385,389,573,683,1042,3403,3771: 0,18,35,58,100,109,123,129,144,175,191,193,477,568,593,1178,1405,2224,3467,3573: 0,97,101,109,113,124,144,191,193,216,289,352,475,651,785,1035,1272,1348,1482,3514,3709: 0,3,17,18,42,44,52,54,85,118,125,141,156,159,169,192,196,199,205,230,362,385,389,413,417,528,899,1036,1057,1272,1313,1358,1456,1488,3187,3594: 0,3,16,17,18,25,44,91,116,118,126,145,169,205,226,302,314,327,385,389,398,413,417,444,495,525,678,845,1036,1057,1272,1313,1358,3594: 0,2,13,14,23,28,39,43,47,51,62,70,92,95,97,98,111,115,127,136,192,205,231,314,385,389,393,438,446,496,515,550,578,641,673,751,814,818,1041,1068,1646,3777,4256,4263,4277,4304,4317,4331,4359,4372,4435,4438,4497: 0,2,4,5,10,12,19,33,41,52,62,66,72,93,97,124,135,144,162,173,389,755,803,1397,2073,2578: 0,69,97,118,124,173,215,257,347,385,493,497,550,569,578,675,755,817,827,862,1376,1457,1469,1838,1885,1955,2073,2369,2890,2947,3085,3582,3805,4127: 0,2,4,5,62,66,67,83,95,98,111,117,118,124,140,142,205,240,242,316,345,385,387,439,525,540,578,606,687,753,755,794,834,889,890,1036,1047,1071,1072,1083,1162,1180,1208,1283,1376,1491,1533,1537,1747,1757,1838,2214,2219,2262,2421,2451,2534,2535,2741,2889,3805,4037: 0,3,70,95,111,133,193,197,205,228,229,314,351,352,385,389,439,532,533,677,687,755,794,908,909,1283,1376,1457,1495,1812,2390,2994,2995,3146,3353,4314,4379: 0,3,4,5,36,62,88,98,120,124,153,173,205,218,347,352,384,385,389,439,496,578,687,755,794,818,1376,1457,1838,2369,2741,2890,2947,3085: 0,2,12,33,52,62,66,93,97,133,135,162,228,229,242,248,249,351,385,675,755,1457,1669,1670,2390,2994,2995,3146,3353,3732,3826: 0,22,31,37,79,93,100,109,119,149,155,178,191,193,205,219,253,265,287,314,347,348,503,568,578,593,673,863,866,941,1003,2011,2213,2234,3193,3495,4261,4312: 0,4,5,9,10,12,38,41,52,53,55,62,76,98,112,117,119,124,185,190,236,282,313,385,491,554,569,578,675,814,878,1049,1305,1668,1974,2009,2180,2214,2221,2264,2540,2757,3343,3855,3941,4317,4334: 0,15,17,18,25,35,44,97,116,145,147,169,177,178,205,314,327,495,644,897,996,1006,1036,1521,1692,1920,2237,4271,4315,4392: 0,4,9,13,14,21,22,23,28,39,43,62,84,86,87,92,96,97,98,115,119,124,127,129,149,151,173,192,194,205,218,242,289,290,314,315,347,390,393,431,438,446,491,496,515,553,578,602,644,673,814,818,1041,1646,2216,2757,3343,3514,3939,4114,4256,4267,4317,4372: 0,4,5,10,12,41,52,62,96,124,144,173,178,389,436,544,560,1279,3598,3723: 0,6,8,24,29,30,34,69,118,124,129,198,209,318,322,385,484,1580,1581,1851,2118,4114: 0,4,5,11,19,26,27,52,62,86,87,104,118,124,144,178,192,218,219,235,241,242,289,291,314,322,348,352,384,401,496,1301,1424,1851,2159,3834,4342: 0,4,5,10,12,15,38,41,52,62,80,98,101,124,129,136,144,172,177,185,237,320,385,491,554,578,644,996,1405,2357,2906,2961,3047,3048,3285,4338,4365: 0,6,8,30,34,129,133,144,228,229,232,351,385,389,468,469,1405,1442,1780,1781,1782,1783,2518,2519,3241,4660: 0,5,7,12,18,35,41,48,52,62,97,144,185,359,385,554,556,569,644,817,996,2073,2099,3996,4032: 0,3,4,9,62,84,87,119,124,149,173,185,192,217,330,554,644,663,920,996,1037,1040,1167,1168,1487,2119,2138: 0,3,80,100,101,113,124,129,136,185,193,217,237,321,352,503,554,578,594,644,663,996,1040,1487,2114,2119,2138,2357,2864,2865,2906,2961,3047,3048,3240,3285,4295: 0,2,7,18,36,40,47,62,66,129,140,144,175,185,243,285,321,352,389,496,506,519,554,571,1020,1043,1085,1235,1487,2114,2138,2195,2341,2556,2664,2758,2945,3344,4295,4393: 0,7,16,18,36,40,52,60,62,67,91,102,185,317,352,389,491,496,519,556,674,846,1020,1077,2341,2664,2758,3344: 0,6,8,18,35,129,144,175,185,273,304,352,360,385,389,554,972,1442,1850,3241,3723,3922,3991,4445: 0,21,52,53,57,86,113,117,124,144,174,193,205,284,289,314,318,385,480,555,569,589,675,858,1388,1392,1904,3390,3708,4088: 0,4,13,14,23,28,39,43,52,62,74,86,87,92,95,97,111,115,118,124,127,132,173,192,194,218,231,234,253,314,322,385,390,393,424,446,496,940,1967,3372: 0,4,5,10,12,19,41,46,52,62,72,117,124,144,187,205,284,320,389,764,826,940,1279: 0,4,5,9,11,22,26,27,54,62,63,84,86,87,98,118,119,124,137,148,149,173,192,218,291,314,315,347,348,384,389,395,438,486,494,496,578,673,766,814,818,822,1041,1342,2216,2567,3535,4186,4256,4317,4372,4518: 0,9,13,14,20,37,54,62,64,79,98,105,118,119,144,149,177,205,214,287,298,321,347,433,576,578,685,877,931,1003,1065,1097,1483,1555,2213,2234,3546,3766,4250,4358: 0,5,9,12,37,38,41,52,55,62,79,98,105,119,134,144,149,151,202,205,214,268,287,290,309,347,390,396,442,494,578,989,2052,2150,2213,2234,3529,3546,4309,4358: 0,18,40,42,44,47,51,54,97,118,125,142,144,165,178,191,192,199,269,291,305,316,332,344,350,384,386,387,390,392,496,507,523,543,557,570,571,931,1036,1043,1073,1109,1110,1163,1237,1488,1574,1609,1617,1757,1957,2162,2339,2452,2627,2769,2946,3082,3084,3928,4099,4368: 0,4,5,9,22,62,86,97,98,119,122,124,144,149,160,170,173,179,239,240,242,250,262,284,289,296,314,316,318,319,347,348,349,376,379,385,386,439,479,578,601,624,634,673,707,710,726,791,815,1010,1036,1428,1487,1488,2219,2508,2509,4269,4464: 0,4,5,19,62,87,96,102,124,144,173,192,205,218,234,235,291,318,345,376,384,385,401,496,575,576,618,631,675,874,1084,1213,1315,1349,1755,2232,2235,2468,2504: 0,7,18,36,40,52,62,66,144,205,344,352,385,464,496,506,519,543,571,812,825,940,1042,1300,1609,1633,1860,1979,2132,3083: 0,2,7,18,35,44,52,62,142,144,152,242,323,359,385,389,569,714,825,1036,1300,1979,2132,4145: 0,49,52,86,101,124,144,150,205,219,240,241,314,316,348,415,495,504,508,686,822,825,940,1009,1036,1487,1860,3668: 0,22,49,52,61,86,118,119,124,144,150,205,240,242,266,289,314,316,319,321,348,352,495,797,1036,1240,1324,2027,2956: 0,57,86,113,118,124,132,143,144,148,174,177,193,314,385,390,412,503,578,613,673,685,708,1038,1066,1146,1171,1176,1184,1359,2010,3228,4037,4256,4317,4374,4381,4385: 1,177,191,318,385,389,390,569,578,675,1046,1852,2233,2234,3188,3208,4142,4262,4271,4305,4307,4315,4317,4371,4373,4487,4488,4504,4513,4533,4541,4606,4621,4628: 0,6,8,30,34,45,50,131,144,167,200,231,252,347,385,418,487,493,578,675,919,1011,1082,1175,1303,1360,1474,1850,2224,2466,2507,2862,3862,4386: 0,4,20,52,62,65,124,144,173,177,234,425,537,1037,1075,1138,1259,1466,1487,1725,1726,1883,2225,4125: 0,4,5,9,10,12,41,52,53,55,62,76,117,119,124,144,190,205,313,352,385,418,675,2023,3887: 0,2,4,5,10,12,33,41,46,52,62,117,124,143,205,216,385,389,421,485,675,2720,3267,3643,3771: 0,31,46,99,109,113,117,119,124,144,177,190,193,200,389,390,568,1011,2224,3861,3991,4105: 0,2,9,21,37,62,66,79,83,98,105,119,142,144,149,151,152,214,221,241,268,287,289,290,318,319,323,347,352,385,387,453,492,569,578,595,675,859,1036,1114,1174,1406,1487,1491,1507,1531,1534,1651,2069,2213,2219,2234,2274,4309,4522: 0,90,129,144,227,242,314,347,376,385,429,574,578,673,690,728,897,1039,1045,1367,1388,1963,3038,3278,3443,3662: 0,69,90,97,101,124,136,144,173,211,227,331,347,380,389,400,526,578,614,757,1566,3487,3712,3862,4206,4242: 0,21,95,111,117,124,269,289,318,349,385,418,675,1180,1344,1356,1488,1996,3067,3297,3799,4306,4517: 0,54,118,124,132,204,215,257,318,322,352,389,418,572,700,771,778,1011,1469,1479,2224,3410,4038,4250,4300: 0,6,8,24,29,51,52,69,74,87,118,124,132,144,166,173,187,192,198,207,209,234,322,376,385,389,424,636,744,871,1309,1367,1525,1599,1600,1989,2077,2321,2346,2596,2612,2793,2797,3007,3008,3009,3010,3252,3485,4259: 0,4,21,52,54,62,86,87,108,113,124,138,144,173,192,193,218,240,258,288,314,385,496,574,577,620,625,675,689,897,953,1026,1036,1044,1056,1367,1463,1465,1476,2211,2212,3232,4255,4270,4318,4392: 0,5,36,62,97,110,120,144,171,205,252,336,352,384,385,389,403,418,496,1011,1164,1284,1301,2224,4264,4517: 0,16,18,40,94,177,205,236,255,352,384,385,418,496,1011,1467,1949,2174,2207,2224,3390,3658,3861,4339,4610,4621: 0,73,90,119,124,129,144,149,164,173,176,200,205,211,242,331,367,389,400,466,482,614,962,979,1039,1473,1760,1856: 0,4,5,9,36,62,88,98,118,119,120,124,129,149,153,173,218,315,347,352,384,385,496,578,818,875,956,979,1270,1317,2249,2493,2494,3074,3304,3484,4034: 0,18,58,124,234,242,352,385,426,578,641,819,820,821,825,985,1045,1058,1404,2007,2260,2527,3310,4254,4307,4342,4377,4487,4505,4508,4514,4525: 0,6,8,24,29,74,77,89,118,119,124,132,149,158,173,205,234,259,277,322,329,385,493,645,691,729,825,833,898,1291,1367,2035,2081: 0,4,11,26,52,54,60,62,67,86,87,96,118,124,172,173,177,192,205,216,218,226,261,314,317,352,379,380,385,394,402,496,556,674,678,782,893,1240,1404,1904,2957,3852,4117: 0,2,3,4,52,62,96,106,124,142,144,152,173,178,240,285,323,352,379,569,805,947,948,1036,1240,2043,2080,2103,2957,3670,3697,4473: 0,3,18,57,58,123,130,193,205,208,285,352,379,421,488,569,805,947,948,1264,2043,2080,2103,2790,3131,3670,3927,3957,4473: 0,52,69,90,103,119,124,149,173,177,211,227,234,277,313,331,347,367,380,389,485,569,578,825,1045,1853,3296,3786,4163,4391: 0,57,74,86,113,118,121,124,130,132,144,173,174,193,205,208,234,242,314,322,352,389,390,498,941,1343,1483,1721,1830,2091,3237,3431,3448,4057,4162: 0,18,25,44,70,85,97,125,142,145,150,177,196,205,314,316,348,352,385,495,505,559,675,782,1036,2092,2093,4165: 0,47,51,87,96,124,142,165,173,191,192,195,205,218,240,270,281,349,350,369,389,390,392,496,556,558,668,687,836,947,1025,1036,1261,1488,1491,1501,1548,1587,1588,1589,1590,1748,1935,2207,2215,2220,2630,2660,3487,3536,4259,4276: 0,5,52,62,69,110,118,160,161,171,210,236,239,242,247,250,262,272,303,314,316,334,336,348,352,365,368,376,385,386,404,405,408,451,452,462,658,663,675,737,738,826,951,1025,1036,1195,1196,1233,1258,1353,1386,1488,2533,2677,2732,3529,3816: 0,69,110,144,161,191,204,231,239,250,257,320,336,365,385,404,569,737,738,788,795,1195,1196,1233,1253,1258,1353,1386,1540,2677,3622: 0,52,80,101,124,136,237,321,424,501,578,675,950,1042,1965,2096,2099,3114,3115,3326,4329,4434,4443: 0,17,18,35,52,100,123,147,193,236,359,366,385,389,427,501,1191,1378,1586,3676,3779,3791: 0,69,101,118,124,132,136,144,170,173,176,215,250,257,347,352,375,376,385,389,497,578,684,772,795,815,816,827,862,951,1182,1253,1371,1469,1598,1674,2454,3077,3306,4257,4311,4374,4488: 0,4,5,10,12,41,52,62,118,124,144,369,389,390,416,430,501,569,1286,2018,2058,2968,3648: 0,13,14,23,26,28,39,43,54,62,92,97,98,115,118,134,137,144,192,236,314,321,347,352,355,438,447,496,578,673,818,1319,2114,3626,4202: 0,26,62,67,98,118,136,137,143,144,177,192,205,237,261,314,438,496,578,673,674,675,678,753,818,893,1030,1905,1943,3962,4202: 0,46,57,113,117,118,124,130,144,193,208,352,389,767,1503,1530,1546,1806,2171,2818,3752,4153: 0,96,124,129,144,173,177,205,242,290,347,385,431,578,820,1058,1431,1440,1466,4176,4254,4302,4307,4371,4377,4487: 0,21,57,113,124,130,132,178,193,208,242,352,385,389,424,455,767,1503,1530,1546,1806,2818,4207,4306: 0,2,4,5,15,52,62,67,69,78,95,96,98,111,124,170,173,177,204,215,234,239,250,257,290,347,352,385,497,578,684,754,815,827,1045,1388,1452,2446,2872,2873,3243,4176,4428,4493: 0,2,4,5,9,11,22,26,27,47,51,52,62,63,70,82,84,86,87,102,118,119,124,132,144,158,192,218,234,259,277,291,314,315,322,348,352,384,389,496,556,1185,1321,1369,1393