//  (L,K) values of 3n+c cycles with attachment points, c<=70001<=99997
//  05/04/13 (dkc)
//
unsigned int kl1[(3708+3665+7362+7299)*2]={
// count=136
828,856,718,673,694,748,282,276,96,120,378,396,186,156,1448,1500,362,375,788,748,
464,484,108,114,792,726,432,456,324,342,1602,1612,396,408,78,102,318,306,156,136,
404,424,428,437,552,548,695,709,348,354,696,708,26,38,52,76,532,512,266,256,
798,768,692,704,2243,2126,31,16,404,406,202,203,428,407,178,202,226,204,120,102,
144,128,72,64,216,192,1160,1253,204,216,1584,1530,1337,1389,496,504,717,760,270,238,
808,818,834,879,1124,1085,1129,1121,191,153,500,480,309,327,488,428,244,214,334,318,
668,636,252,264,216,192,234,228,270,300,486,492,18,36,236,248,708,744,226,212,
113,106,339,318,1104,1131,243,279,1068,964,356,350,600,592,475,494,168,168,84,84,
252,252,1041,965,127,148,254,296,1488,1457,320,316,431,478,222,248,96,74,48,37,
174,211,270,285,366,359,1584,1560,1674,1704,30,48,132,152,649,643,85,95,170,190,
464,492,430,460,480,450,1192,1208,540,520,267,264,507,564,534,528,1328,1267,540,552,
180,184,360,368,1004,998,736,752,1694,1682,466,538,874,851,978,913,400,400,552,584,
441,403,136,125,544,500,272,250,408,375,282,286,300,272,198,234,270,270,540,540,
464,432,1728,1680,376,382,332,374,208,231,893,823,
// count=146
242,211,1640,1720,126,99,450,459,849,844,997,936,701,752,74,46,1480,1460,245,265,
255,265,510,530,508,520,350,336,980,987,333,364,124,154,712,662,412,464,1818,1877,
57,54,114,108,285,270,171,162,220,220,440,440,1163,1157,1091,1134,650,740,354,358,
294,266,1002,982,759,748,132,176,257,272,811,790,297,246,514,544,256,265,262,244,
244,307,268,223,274,202,506,551,404,394,1228,1294,668,664,204,180,408,360,744,716,
540,536,1036,994,924,952,242,251,484,502,780,762,243,276,308,306,172,206,514,512,
292,320,1448,1456,66,78,132,156,264,312,176,208,892,904,769,838,1479,1566,142,166,
366,402,402,378,437,419,259,231,539,550,1112,1088,848,872,264,216,1008,1023,876,856,
132,167,219,175,60,64,180,192,120,128,240,256,519,495,201,273,120,100,228,218,
216,236,108,118,324,354,1313,1322,459,480,395,362,572,624,1080,1104,720,672,708,636,
832,844,168,156,336,312,828,852,84,120,468,544,504,422,1338,1302,940,894,180,186,
240,248,60,62,120,124,300,310,828,750,414,342,835,800,155,190,110,108,220,216,
330,324,550,540,332,296,246,246,1720,1739,668,678,232,238,464,476,1159,1219,568,550,
68,80,476,560,1142,1104,172,201,1072,1053,425,479,1124,1184,274,226,380,360,400,400,
440,480,420,440,360,320,108,96,216,192,346,376,
// count=140
1010,930,286,330,436,376,440,404,1336,1348,92,116,184,232,778,813,738,735,210,240,
564,584,236,250,472,500,204,180,1330,1226,298,310,665,613,360,360,186,191,372,382,
921,946,865,812,884,872,212,242,108,108,36,36,116,148,144,144,100,68,72,72,
64,32,136,104,44,76,1488,1548,2859,2845,262,310,131,155,371,349,1975,2002,922,981,
216,192,943,996,612,600,696,704,84,104,1358,1400,108,96,216,192,520,540,260,270,
436,468,477,440,420,432,838,814,1615,1724,1696,1745,79,94,158,188,483,426,237,282,
108,120,216,240,364,404,564,552,108,104,216,208,109,103,218,206,424,404,1404,1468,
212,202,1282,1277,1327,1318,259,280,173,193,346,386,442,440,252,230,552,596,276,298,
780,758,1241,1275,1103,1077,1172,1176,69,99,120,120,60,60,180,180,240,240,1011,1028,
1050,1000,866,829,776,808,388,404,51,36,486,489,988,1014,354,334,78,104,432,438,
276,230,1078,1118,490,484,245,242,408,408,290,242,145,121,1357,1369,700,720,1340,1280,
320,280,1056,988,892,786,352,400,120,96,237,277,795,879,613,589,420,432,480,456,
540,480,216,216,108,108,324,324,540,540,597,560,260,303,234,237,702,711,468,474,
472,465,121,128,465,444,223,188,363,384,48,72,216,198,264,270,524,544,262,272,
// count=140
844,840,572,648,354,372,300,288,303,269,869,888,370,430,270,240,910,910,260,245,
272,290,284,335,520,490,544,580,444,440,72,102,516,542,434,470,217,235,771,765,
156,176,84,92,42,46,126,138,168,184,980,960,135,165,962,986,481,493,391,367,
90,126,938,932,703,748,1198,1212,420,434,508,516,444,408,476,462,32,54,116,92,
58,46,168,156,504,468,25,33,75,99,50,66,200,264,78,104,894,902,1009,1037,
612,632,924,896,300,320,680,640,148,106,415,460,83,92,314,290,249,276,129,135,
516,540,258,270,336,318,378,399,789,804,176,174,594,594,274,282,90,66,180,132,
309,290,348,316,672,690,324,374,46,35,92,70,60,60,120,120,180,180,300,300,
1376,1394,432,508,972,942,913,916,460,449,896,904,448,452,127,109,852,920,396,390,
792,780,444,408,956,972,273,279,335,285,316,288,320,333,688,721,812,800,505,487,
1010,974,1069,1171,304,316,456,474,152,158,322,277,468,440,510,526,552,612,134,152,
170,170,36,18,206,188,268,304,340,340,98,134,292,320,584,640,1079,1108,952,912,
460,424,420,456,198,183,132,122,66,61,417,438,124,106,293,332,1112,1064,883,870,
615,643,215,187,200,228,415,415,820,800,1307,1422,604,644,270,241,216,204,432,408,
// count=149
100,100,160,195,300,300,200,200,400,400,140,105,240,205,260,295,1216,1168,172,184,
160,120,860,840,1518,1358,33,51,54,54,108,108,270,270,162,162,532,494,429,462,
174,180,348,360,413,422,724,744,676,636,708,708,1338,1324,824,792,206,190,320,352,
526,542,52,54,104,108,156,162,208,216,354,342,708,684,300,336,559,488,906,833,
292,304,356,404,584,608,520,508,228,204,852,822,982,989,130,167,310,269,828,756,
732,768,244,256,488,512,396,362,372,384,892,904,240,210,668,736,480,444,378,387,
756,774,760,820,205,175,1170,1170,298,244,560,560,3082,3083,498,534,246,240,1310,1420,
1772,1752,36,24,324,336,432,408,882,870,256,248,768,744,486,462,537,534,639,678,
588,606,51,72,158,121,1818,1841,72,78,216,234,336,336,480,432,672,672,335,337,
1627,1652,396,404,696,644,716,789,319,302,65,45,505,486,440,441,375,396,674,649,
758,793,730,745,28,48,56,96,900,888,596,596,1324,1304,1635,1664,594,592,605,637,
515,427,152,188,228,282,76,94,788,825,748,818,616,616,924,880,1287,1341,156,168,
78,84,234,252,212,186,804,840,348,324,319,322,417,458,638,644,761,694,1110,1122,
172,152,211,201,1135,1185,28,28,112,112,84,84,140,140,196,196,56,56,280,280,
1182,1158,739,680,1341,1330,301,325,126,126,378,378,1152,1141,731,792,364,362,
// count=140
900,900,144,108,180,240,520,550,276,312,340,344,32,16,404,376,372,360,744,720,
992,967,550,560,348,324,1188,1176,76,109,517,513,593,622,180,150,696,762,2550,2588,
767,751,168,156,162,180,174,132,1042,1020,384,434,860,824,310,316,155,158,630,672,
936,945,306,273,84,72,168,196,252,268,346,392,692,784,225,231,688,628,2180,2200,
233,248,634,631,558,518,892,900,1001,1089,446,450,380,376,820,848,868,878,1660,1761,
30,30,60,60,90,90,120,120,150,150,180,180,672,602,672,672,336,336,688,736,
328,304,352,400,1673,1714,1140,1200,262,257,708,828,524,514,343,312,352,372,560,520,
520,490,336,330,184,160,152,170,778,718,1152,1200,576,600,600,564,580,560,840,840,
966,1008,126,168,320,304,292,328,705,684,966,894,780,821,912,874,911,878,927,905,
624,680,928,888,722,756,852,832,628,632,644,672,592,666,736,772,368,386,1075,1094,
656,554,681,627,531,537,606,582,1215,1232,326,272,108,126,36,42,72,84,180,210,
144,168,952,1036,589,607,224,236,448,472,210,231,540,528,330,297,378,410,1727,1729,
870,912,908,924,624,624,41,62,1599,1674,300,288,358,389,242,187,1308,1344,139,100,
172,148,116,134,96,94,136,174,192,188,212,228,76,54,292,328,370,346,662,674,
// count=141
2172,2124,204,260,1598,1604,53,66,106,132,1911,1985,174,218,87,109,490,532,610,596,
748,742,823,813,882,876,120,120,60,60,180,180,240,240,2010,1986,198,198,594,594,
264,278,320,292,292,285,376,306,764,827,640,584,236,271,616,655,867,924,822,744,
849,852,837,804,858,888,3,12,234,238,132,160,626,704,218,234,452,432,234,198,
510,525,597,612,823,784,1496,1498,474,427,1473,1542,636,576,810,840,990,990,1693,1754,
1672,1586,490,485,489,511,606,566,700,712,642,612,729,762,671,662,29,50,196,178,
300,308,404,438,104,130,1580,1622,447,504,260,280,1230,1200,143,117,728,806,112,88,
1100,1160,336,336,875,980,468,432,156,144,210,174,480,540,620,652,872,806,584,608,
436,408,789,803,210,204,630,612,758,820,938,926,1790,1736,86,116,589,570,99,126,
66,84,33,42,132,168,2108,2058,540,540,632,656,92,116,1100,1178,159,195,540,534,
900,840,180,228,870,951,480,432,607,610,448,508,617,620,516,528,546,578,456,428,
30,50,1181,1210,1701,1703,536,572,912,882,696,706,904,914,554,521,910,835,380,380,
284,304,852,912,1026,1036,742,732,2320,2320,24,32,48,64,72,96,1083,1105,641,631,
857,955,569,523,72,108,156,162,309,228,312,324,1432,1452,28,48,1088,1061,1380,1477,
73,104,
// count=79
775,805,565,545,100,108,200,216,300,324,316,262,1052,1064,871,881,1044,974,1285,1289,
248,272,124,136,594,516,1892,1865,930,900,120,150,1050,1050,476,476,1152,1092,482,419,
1348,1320,390,390,48,36,216,240,96,72,108,120,264,276,204,192,60,84,156,156,
77,61,154,122,723,724,406,420,802,771,416,489,961,937,955,895,556,544,548,590,
1604,1566,188,139,260,270,520,540,1848,1840,318,280,615,641,546,518,273,259,1144,1152,
478,464,312,336,156,168,322,296,166,128,861,875,452,488,243,236,226,244,469,480,
712,716,260,228,900,930,1699,1724,335,382,791,823,460,472,488,416,316,296,144,176,
216,228,564,522,648,684,1362,1332,720,756,840,804,840,826,420,413,240,275,
// count=86
388,414,1590,1578,261,304,332,280,683,679,351,399,1776,1842,234,282,504,496,252,248,
4052,4028,3982,3909,10,17,40,68,20,34,30,51,50,85,411,366,183,198,297,282,
126,156,423,438,240,240,57,42,354,324,114,84,69,114,207,207,69,69,138,138,
400,410,441,438,1178,1096,30,48,1148,1048,250,220,135,106,270,212,366,342,456,457,
636,624,412,448,224,176,1272,1248,300,360,1238,1247,1813,1782,20,10,308,284,228,244,
268,264,288,274,248,254,188,224,458,476,398,362,562,502,483,486,588,558,294,279,
90,106,180,212,488,535,88,86,264,258,576,621,176,172,252,225,966,997,68,68,
216,246,148,178,136,136,124,94,192,162,752,714,1217,1109,981,1009,300,318,990,940,
423,445,954,1008,318,336,636,672,1356,1340,186,168,
// count=158
780,780,156,156,468,468,312,312,1444,1344,284,304,960,1020,96,92,480,460,192,184,
356,310,178,155,162,150,324,300,300,336,1284,1272,578,644,428,424,1032,972,1096,1144,
582,536,161,209,904,954,578,556,342,325,684,650,280,266,280,329,195,150,705,720,
440,440,88,88,176,176,1608,1574,980,1072,288,266,678,708,1068,1150,156,156,78,78,
312,312,234,234,740,752,496,544,244,208,365,406,1187,1124,680,610,1352,1366,444,444,
120,84,324,360,1069,1110,1035,1030,980,1000,400,380,243,237,462,414,267,297,510,534,
219,177,1092,1134,364,378,426,405,600,612,174,207,162,186,738,684,884,952,600,608,
2470,2501,312,304,156,152,468,456,1171,1187,476,488,238,244,528,570,186,162,424,406,
52,82,68,52,136,104,1182,1155,815,785,190,227,120,136,76,82,228,246,456,492,
152,164,963,992,1224,1248,180,150,540,600,242,266,585,516,1450,1480,240,200,410,399,
418,396,400,461,209,198,2040,2005,276,276,138,138,342,378,210,174,66,102,414,430,
879,833,348,300,436,444,480,516,392,372,44,72,472,496,1008,1008,924,1008,563,556,
434,460,692,652,159,147,318,294,122,141,244,282,281,288,196,153,132,144,264,288,
702,678,568,526,1140,1164,690,714,690,690,690,666,690,618,1480,1504,750,724,351,410,
546,540,273,270,228,198,272,290,544,580,1820,1899,128,173,23,22,46,44,69,66,
92,88,184,176,115,110,480,508,240,254,596,572,145,125,650,670,
// count=153
1572,1562,188,224,421,427,808,810,228,273,434,404,28,44,804,762,748,674,56,88,
78,64,156,128,516,528,1330,1330,132,152,360,320,492,472,264,304,630,660,360,330,
300,330,330,330,194,186,388,372,204,247,460,472,664,719,256,225,1556,1580,318,322,
450,432,132,110,186,212,504,534,239,189,92,112,1451,1522,468,432,108,108,216,216,
540,504,450,486,64,83,780,787,128,166,230,230,1089,1109,294,342,16,24,1001,954,
32,48,1049,1026,48,72,142,157,810,823,787,844,1395,1444,705,704,604,582,144,182,
835,832,924,924,1044,1080,420,392,840,784,686,674,681,714,480,509,225,215,66,42,
159,173,93,131,318,346,100,104,200,208,500,520,128,95,408,372,516,546,756,756,
360,396,231,255,1136,1124,796,846,1130,1067,1250,1243,60,88,927,966,630,620,78,94,
234,282,2018,1977,1164,1236,388,412,540,528,366,342,174,186,348,372,78,108,96,78,
150,190,948,964,1666,1691,210,210,210,180,210,240,420,450,420,420,90,90,180,180,
360,360,270,270,450,450,338,328,484,518,1968,2018,101,67,112,124,336,372,663,650,
741,780,1558,1541,390,385,686,751,239,217,323,353,218,183,260,251,344,387,21,34,
520,502,541,536,281,285,302,319,42,68,108,96,216,192,228,240,348,384,120,144,
336,336,240,288,891,900,1455,1423,372,372,381,405,363,339,669,706,1114,1068,172,136,
408,384,236,248,343,317,
// count=98
336,328,672,656,704,736,504,486,200,250,328,302,176,184,540,520,1272,1284,681,609,
192,224,96,112,288,336,384,448,244,258,420,390,88,66,332,324,400,450,176,132,
390,380,792,837,14,20,21,30,7,10,49,70,28,40,70,100,42,60,56,80,
35,50,63,90,384,354,270,285,612,600,1224,1200,345,360,690,720,724,668,524,510,
200,158,330,300,340,400,1740,1800,718,679,358,372,1076,1051,57,43,114,86,894,846,
966,954,628,649,584,606,432,420,408,360,1205,1235,515,555,140,140,280,238,280,280,
140,98,108,111,216,222,324,333,78,79,156,158,312,316,234,237,576,531,712,695,
273,252,45,45,119,67,135,135,90,90,196,248,143,169,188,214,82,56,172,146,
225,225,53,79,132,148,600,572,3715,3794,28,48,56,96,178,178,356,356,218,233,
1094,1037,16,16,48,48,32,32,96,96,64,64,80,80,144,144,
// count=84
724,722,951,1008,1304,1262,1305,1293,176,164,352,328,898,809,628,630,406,404,231,216,
462,432,320,370,208,218,624,654,304,284,96,66,112,152,456,458,912,916,228,216,
456,432,720,656,522,474,798,786,1068,1087,108,123,162,147,356,352,194,205,388,410,
226,263,32,58,58,34,170,140,224,212,112,106,166,178,54,72,857,916,483,476,
740,740,828,750,747,787,998,1004,251,217,1250,1236,30,18,360,372,390,390,510,462,
60,36,487,488,268,246,1092,1137,58,67,116,134,174,201,232,268,276,316,960,890,
1130,1200,264,304,132,152,284,312,2094,2058,615,654,604,592,58,44,55,75,168,194,
113,119,223,269,229,207,171,163,226,238,284,282,54,36,108,72,386,372,268,216,
134,108,252,264,504,528,118,156,
// count=156
1084,1028,172,166,344,332,2306,2432,762,731,180,160,120,140,420,440,300,300,98,96,
196,192,1526,1539,580,618,1878,1752,1125,1291,1563,1479,427,382,120,96,187,190,374,380,
240,192,67,94,154,181,256,211,520,494,532,602,260,247,264,283,33,19,378,386,
312,348,279,329,84,86,126,129,168,172,42,43,336,344,294,301,168,144,954,1002,
97,105,143,125,194,210,240,230,189,145,291,315,46,20,1134,1166,1053,1019,972,1050,
982,1056,86,108,129,162,43,54,132,122,138,141,144,160,120,84,150,179,126,103,
288,320,282,301,264,244,1400,1421,367,352,172,142,468,528,1086,1154,485,471,760,790,
1078,1092,1706,1722,786,751,386,404,371,350,401,458,708,696,582,618,324,336,632,622,
1336,1216,1312,1296,596,608,698,678,169,159,954,984,989,1058,540,600,270,300,1854,1854,
892,864,380,420,527,490,1325,1300,864,828,104,128,316,328,424,400,108,72,212,200,
312,324,1168,1097,1496,1514,182,172,75,60,107,112,214,224,139,164,246,276,150,120,
171,216,321,336,32,52,1340,1430,1372,1366,670,740,375,361,1428,1496,344,352,172,176,
216,194,300,334,260,212,388,370,116,128,232,256,512,573,316,304,436,464,120,160,
256,224,60,80,1124,1184,562,592,281,296,348,356,444,424,96,68,888,848,540,492,
1470,1470,1180,1236,282,330,1052,1099,360,390,908,906,1354,1408,1366,1447,696,818,892,916,
28,14,920,930,1444,1446,204,200,408,400,816,800,
// count=141
634,664,317,332,620,616,715,755,675,663,306,306,522,486,396,432,432,360,216,180,
264,262,528,524,700,712,668,644,652,610,16,34,270,300,1799,1797,776,736,660,627,
220,209,638,682,610,620,305,310,104,80,208,160,1136,1136,272,282,156,156,78,78,
624,624,234,234,828,856,648,676,1420,1418,168,168,672,672,336,336,196,178,444,432,
300,330,248,254,52,76,504,502,627,632,1479,1487,554,508,1616,1716,368,392,736,784,
888,888,984,1104,401,413,156,166,78,83,252,216,108,108,180,216,144,108,216,216,
324,324,396,346,1232,1258,170,170,85,85,255,255,579,531,205,198,227,250,194,172,
183,146,216,224,474,438,589,601,1178,1202,1272,1296,864,816,76,56,718,726,1004,1042,
1552,1602,954,990,647,694,282,286,564,572,156,132,840,840,800,760,820,800,1544,1547,
556,592,236,200,492,520,24,30,48,60,72,90,96,120,1348,1354,100,120,296,289,
325,340,618,630,936,900,1540,1588,288,252,1289,1322,96,82,192,164,460,490,464,434,
285,300,1502,1472,156,132,78,66,468,456,234,258,390,390,156,192,86,101,633,611,
537,547,441,483,96,64,1100,1064,300,264,500,536,400,400,100,136,175,172,197,164,
459,540,131,188,328,352,153,180,444,440,296,338,352,348,570,611,736,738,768,775,
852,815,
// count=153
171,162,471,516,342,324,660,636,228,240,456,480,432,396,98,84,49,42,147,126,
350,380,440,440,1170,1194,647,604,801,860,204,178,361,356,376,346,820,820,444,474,
1224,1198,150,150,306,270,444,480,300,300,396,396,108,72,504,468,1062,1074,204,184,
528,560,42,57,84,114,163,152,326,304,684,624,651,647,180,210,72,84,36,42,
144,168,108,126,200,220,260,220,400,440,362,328,492,512,622,696,130,184,439,407,
50,70,389,337,539,547,489,477,428,388,718,730,652,634,784,826,57,58,114,116,
228,232,171,174,379,331,126,142,631,615,505,473,504,568,576,628,288,314,989,964,
426,454,213,227,216,208,108,104,981,952,1848,1932,24,18,48,36,72,54,456,453,
1132,1166,566,583,380,312,668,636,288,324,515,493,516,504,72,96,588,600,360,408,
378,336,814,847,1628,1694,92,60,867,788,1129,1110,165,165,330,330,250,300,230,215,
356,396,460,430,77,52,905,926,2402,2400,911,845,1260,1140,724,754,390,384,460,440,
202,137,258,247,572,604,186,201,252,294,234,234,720,762,348,336,100,90,200,180,
400,360,168,168,84,84,252,252,1094,1109,400,453,611,601,844,940,640,586,920,904,
40,40,160,160,120,120,80,80,240,240,308,296,224,248,448,496,84,48,140,200,
524,604,456,480,228,240,2192,2200,1020,1080,984,1012,1208,1232,577,529,615,588,267,306,
963,870,1124,1200,402,366,
// count=82
356,352,528,512,666,638,722,660,18,9,94,84,282,252,188,168,1068,1026,576,582,
474,480,711,720,237,240,942,944,1308,1384,1506,1476,992,1004,416,416,540,600,292,232,
192,188,237,267,384,376,576,564,429,455,339,297,1264,1257,221,206,442,412,336,304,
340,328,348,376,684,680,332,280,344,352,540,534,38,42,57,63,95,105,19,21,
133,147,76,84,181,193,362,386,368,312,396,384,424,456,2118,2092,114,147,97,94,
194,188,485,470,132,140,264,280,324,312,192,172,588,592,1408,1425,228,179,114,110,
228,220,260,260,520,520,540,440,948,930,632,620,316,310,1615,1650,315,300,630,600,
1148,1215,44,44,88,88,132,132,176,176,1060,988,1121,1148,1788,1907,540,528,1620,1584,
240,300,120,150,
// count=74
1246,1298,456,450,544,541,1088,1082,1261,1242,1267,1219,608,576,920,928,624,704,300,328,
90,62,690,718,480,452,390,390,968,974,110,140,164,146,428,408,192,168,90,105,
30,35,60,70,120,140,150,175,248,286,396,400,792,800,148,114,85,98,564,543,
734,739,394,347,170,196,255,294,756,768,90,90,60,60,30,30,120,120,180,180,
210,210,192,240,564,552,948,1032,519,471,1642,1672,466,485,800,770,933,961,1476,1403,
803,788,360,348,720,696,416,372,208,186,256,264,48,78,584,574,1524,1464,1942,1906,
1648,1552,144,162,72,81,216,243,438,454,220,240,1522,1474,352,382,113,120,226,240,
828,840,588,564,240,276,2949,3009,
// count=155
824,848,668,656,266,230,333,309,994,1022,364,372,728,744,5168,5135,20,34,40,68,
176,176,352,352,727,699,156,144,264,296,108,152,420,440,312,288,316,306,1254,1266,
556,544,278,272,558,504,1971,2040,279,252,856,841,1548,1522,249,292,1316,1346,576,582,
153,138,306,276,481,490,328,352,908,864,808,804,84,76,240,272,168,152,252,228,
156,196,654,597,214,159,666,717,660,657,220,219,226,279,946,911,619,630,1120,1110,
1020,1024,312,336,156,168,180,180,204,192,24,12,228,204,84,132,132,156,108,144,
156,156,1293,1295,479,508,516,496,258,248,38,43,76,86,114,129,228,258,152,172,
956,908,756,798,40,22,405,425,1008,1074,794,766,588,552,247,278,823,782,340,340,
680,680,504,476,480,464,671,724,420,468,576,612,156,144,692,696,1120,1040,214,172,
133,158,1680,1696,641,657,883,848,120,120,189,168,171,192,291,312,309,288,69,48,
258,216,51,72,240,240,164,139,328,278,1024,966,270,270,540,540,1080,1080,780,720,
320,360,160,180,643,571,240,204,84,84,168,168,420,420,360,352,300,264,420,440,
60,88,282,299,437,399,1001,997,1596,1554,124,160,404,416,465,475,508,544,422,406,
336,268,379,337,43,69,876,800,1548,1602,470,494,166,130,1106,1118,436,446,218,223,
15,9,30,18,45,27,740,812,1852,1916,386,404,483,419,1272,1152,348,428,878,877,
302,335,576,542,1597,1540,2011,2116,46,64,
// count=147
120,99,40,33,395,416,160,132,195,251,80,66,435,449,315,350,200,165,355,383,
976,938,126,90,540,564,568,526,1428,1434,462,420,1806,1758,84,122,76,56,38,28,
298,310,596,620,360,370,400,450,320,290,380,410,300,250,20,40,1092,1092,546,546,
686,718,324,330,96,120,648,660,228,210,270,174,818,890,879,918,630,663,516,488,
549,557,270,300,240,204,228,240,468,444,1630,1644,300,300,1452,1560,1586,1604,1240,1200,
620,600,205,189,902,919,697,730,942,973,432,396,288,306,36,30,72,60,108,90,
2128,2144,60,88,756,714,1470,1536,188,184,474,510,282,282,372,336,244,269,1082,1126,
461,412,834,874,774,730,417,397,234,284,466,462,349,320,117,142,200,180,100,90,
120,150,300,270,555,543,994,1038,684,648,714,724,572,542,308,248,1163,1250,522,498,
817,797,84,100,516,480,252,300,1122,1016,634,632,1038,1086,415,394,830,788,206,217,
618,651,124,96,261,238,296,320,456,504,378,378,678,630,1087,1140,460,476,230,238,
192,210,435,396,627,606,384,420,160,141,714,714,68,85,510,459,204,255,376,346,
532,494,688,784,294,252,84,68,204,192,156,180,240,248,120,124,348,416,168,136,
36,56,404,355,1455,1466,103,87,135,145,119,116,151,174,238,232,167,203,270,290,
87,58,254,261,16,29,32,58,702,795,672,662,232,282,
// count=127
188,174,176,180,352,360,1056,1080,691,676,577,610,342,322,582,614,550,549,764,816,
336,282,543,552,531,506,537,529,555,598,525,483,696,707,280,256,196,232,476,488,
1136,1202,1124,1168,1088,1066,888,876,360,396,687,634,276,284,564,530,363,396,576,582,
213,186,821,808,144,108,648,684,396,396,1044,1080,778,784,1498,1498,1545,1537,304,272,
860,824,252,280,992,1019,225,235,184,172,92,86,134,192,146,138,280,330,438,414,
1915,1896,440,474,48,38,96,76,345,369,888,900,930,949,434,441,518,609,1302,1323,
882,846,686,692,352,378,1070,1072,1050,990,120,120,240,240,360,360,174,198,440,380,
468,468,180,216,360,432,288,252,850,940,360,360,1154,1065,384,348,1461,1403,564,584,
124,104,1816,1848,506,506,240,210,140,170,567,540,204,176,652,620,1855,1831,491,445,
594,612,396,408,252,210,198,204,705,688,148,136,752,788,420,392,210,196,1218,1156,
609,578,120,108,480,432,678,642,1575,1547,28,42,84,126,56,84,780,696,864,906,
828,816,748,704,998,967,221,251,276,248,452,425,92,86,184,172,324,360,416,446,
56,64,28,32,112,128,84,96,196,224,140,160,753,759,
// count=152
450,410,490,504,113,94,1598,1655,109,141,1082,1062,144,146,288,292,432,438,860,842,
708,720,300,264,1493,1467,1531,1553,360,360,180,180,260,232,240,240,280,224,480,480,
500,472,460,488,1056,1083,964,955,92,128,48,36,96,72,3232,3246,50,73,756,768,
1209,1217,348,324,336,348,540,444,621,644,278,302,556,604,580,606,290,303,360,410,
370,285,220,196,280,284,56,64,224,220,112,128,112,92,168,156,280,320,168,192,
972,1032,786,804,186,228,324,336,60,60,30,30,90,90,180,180,150,150,120,120,
398,412,796,824,271,266,813,798,280,280,140,140,560,560,420,420,96,79,560,521,
1200,1248,612,640,264,252,348,388,576,582,110,136,1062,984,381,363,1536,1508,590,586,
223,214,446,428,612,592,1056,1166,644,722,420,430,700,760,332,280,894,954,606,576,
1584,1576,876,916,2194,2165,2074,2181,357,386,139,126,109,130,248,256,278,252,635,638,
466,516,169,122,1316,1318,940,1038,534,532,576,600,42,68,348,312,150,186,399,435,
588,588,184,193,368,386,125,145,1675,1648,250,290,244,214,811,861,567,647,1252,1244,
152,128,76,64,228,192,870,828,646,668,758,748,20,32,40,64,555,548,1470,1386,
195,258,2192,2141,72,92,1212,1172,24,32,12,16,48,64,36,48,60,80,72,96,
84,104,168,208,778,774,138,144,276,288,828,864,1740,1808,1276,1308,194,187,1066,938,
624,612,715,755,
// count=144
84,72,168,144,252,216,356,362,236,220,116,78,472,440,352,298,120,142,845,798,
589,598,256,200,20,30,40,60,1140,1122,960,1080,432,448,1230,1287,1043,1090,464,444,
1012,1032,576,582,884,888,560,606,1284,1284,41,47,123,141,82,94,105,90,215,270,
425,450,116,128,232,256,424,494,1061,1062,212,247,466,423,772,780,120,124,240,248,
360,372,1352,1258,445,483,1044,928,164,216,132,136,264,272,396,408,528,544,1548,1571,
900,888,120,84,361,402,757,744,132,114,1012,1012,600,636,316,296,158,148,396,444,
956,944,788,776,216,240,54,42,108,84,270,282,162,198,1182,1143,182,201,366,345,
112,95,224,190,602,624,819,788,84,98,168,196,971,1053,857,791,457,461,359,392,
282,275,564,550,269,229,297,321,566,550,863,871,616,623,532,567,84,56,296,306,
816,876,706,682,351,353,132,176,1844,1848,790,798,382,329,1150,1184,430,377,657,662,
332,302,170,183,340,366,166,151,336,334,740,748,256,308,1518,1466,684,758,372,384,
684,672,624,576,60,96,672,708,948,948,11,8,22,16,44,32,33,24,1116,1080,
540,552,780,786,993,960,544,580,272,290,120,150,40,50,80,100,1404,1282,240,270,
753,733,253,295,500,438,372,328,60,45,324,345,120,90,488,472,465,486,1380,1356,
690,678,930,930,120,150,1242,1170,
// count=144
946,1032,996,944,756,744,228,192,432,432,96,72,168,180,336,360,360,324,72,108,
264,252,600,612,180,160,360,320,429,411,313,343,742,754,1028,968,78,78,156,156,
234,234,848,818,340,340,380,344,420,348,300,336,584,588,360,336,348,360,180,168,
192,144,168,192,480,450,913,922,812,756,440,450,356,360,1100,1082,197,215,394,430,
880,838,740,740,933,888,793,794,996,1032,330,330,660,660,476,444,1292,1304,475,428,
652,672,2305,2397,684,678,900,936,216,258,86,83,412,480,172,166,228,192,476,483,
182,210,658,693,294,273,1124,1148,240,228,252,252,276,300,228,204,264,276,336,420,
444,384,12,24,308,288,154,144,616,576,462,432,1213,1123,924,984,308,328,1418,1444,
289,301,285,247,75,85,210,162,150,170,300,340,510,502,1108,1096,390,382,780,764,
1092,996,184,226,392,432,424,422,158,166,316,332,42,51,84,102,216,192,292,328,
508,520,1510,1550,585,576,484,482,468,416,1641,1557,2028,2068,318,341,1096,1082,206,272,
1005,967,103,136,424,406,576,639,144,144,72,72,36,36,180,180,108,108,1455,1476,
1558,1564,737,781,631,623,1381,1346,418,370,546,534,1508,1416,1560,1560,300,264,700,712,
200,224,500,488,112,123,336,369,224,246,606,582,726,810,768,700,282,346,180,180,
960,890,1058,1154,529,577,383,371,
// count=147
1148,1112,2550,2449,48,17,235,202,750,780,1005,992,303,336,802,801,668,698,467,463,
934,926,1220,1136,100,118,400,472,424,424,258,326,270,246,810,738,664,645,1152,1170,
1026,981,1340,1312,592,576,296,288,843,825,933,1035,1116,1122,688,666,451,442,270,260,
540,520,702,677,719,674,154,196,434,462,408,384,612,576,204,192,261,294,620,648,
781,759,504,532,84,56,588,588,616,640,424,384,50,45,100,90,150,135,250,225,
396,409,25,23,75,69,100,92,50,46,125,115,404,418,808,836,1588,1620,1156,1138,
136,108,118,100,236,200,538,561,1088,1066,170,199,60,60,240,240,120,120,714,697,
1062,1086,1347,1308,300,296,704,792,600,612,660,684,252,257,504,514,1012,1016,964,1032,
197,227,779,804,582,577,848,872,824,776,852,888,836,824,840,840,4,16,92,88,
276,264,184,176,840,830,536,624,268,312,532,580,162,150,126,126,36,24,54,78,
90,102,198,174,180,204,72,48,424,430,420,368,426,461,422,399,283,293,840,804,
849,879,557,511,566,586,686,745,400,428,800,856,941,929,176,170,352,340,1287,1254,
1012,1014,275,240,876,848,340,360,680,720,438,424,1068,1128,400,400,567,603,592,564,
2024,1994,2821,2774,98,70,268,296,134,148,150,126,828,874,962,935,430,387,408,380,
456,452,24,36,432,416,48,72,384,344,72,108,480,488,
// count=153
107,89,214,178,272,306,330,319,874,931,602,590,1085,1047,1330,1352,209,173,480,516,
418,346,385,400,686,640,132,143,396,429,264,286,456,456,228,228,876,936,320,333,
900,870,141,102,1824,1726,1300,1250,700,800,291,236,348,360,1044,1080,1128,1116,503,465,
184,200,92,100,368,400,276,300,560,591,700,680,690,690,630,594,420,400,224,248,
154,168,462,504,473,462,759,780,327,294,96,96,48,48,192,192,144,144,140,168,
1135,1100,84,112,1508,1504,1659,1678,588,615,96,69,684,684,396,477,212,206,424,412,
444,500,232,294,579,606,78,52,501,554,852,864,420,462,180,200,360,400,280,334,
1043,1117,424,396,28,16,918,843,708,700,1029,1070,220,230,100,80,320,310,340,380,
120,150,819,762,431,492,30,20,60,40,208,212,416,424,1824,1844,180,160,825,858,
561,528,363,396,644,680,564,552,40,64,530,522,1060,1044,460,470,60,60,240,240,
180,180,120,120,156,192,144,108,264,228,284,284,142,142,568,568,51,40,102,80,
344,344,258,215,172,172,516,516,258,301,733,695,306,341,827,851,654,632,124,150,
936,936,98,132,186,164,284,296,470,460,666,724,252,244,348,428,756,732,300,336,
552,580,120,120,60,60,180,180,700,733,542,461,545,575,585,555,505,595,192,192,
528,496,384,384,480,544,336,304,240,272,48,80,142,145,426,435,284,290,568,580,
621,576,645,624,669,672,
// count=123
285,261,910,962,224,210,1360,1392,249,200,2160,2121,72,90,144,180,124,108,248,216,
1120,1155,910,840,748,802,634,604,864,792,432,396,2304,2252,84,112,472,476,236,238,
480,430,888,891,552,516,276,258,368,364,420,456,740,696,114,140,286,302,1078,1144,
444,480,196,196,392,392,156,144,134,110,581,536,1310,1272,176,226,356,376,536,526,
180,150,316,296,590,540,63,86,842,884,653,626,450,462,159,178,1152,1149,270,300,
540,600,944,976,676,674,1999,2085,55,65,110,130,220,260,384,420,192,210,1866,1839,
600,612,314,304,941,1030,628,608,994,925,206,198,412,396,402,386,810,820,408,434,
840,840,420,420,942,920,830,725,854,836,210,219,453,447,609,639,156,192,910,930,
333,362,229,191,1380,1384,450,414,130,166,290,290,160,124,268,260,1001,963,992,917,
34,26,17,13,51,39,85,65,68,52,306,327,630,627,324,300,260,230,970,970,
1685,1639,380,414,452,470,1283,1255,522,558,444,408,776,769,448,496,1048,1008,516,580,
580,536,548,558,786,798,534,582,252,216,52,62,104,124,156,186,612,600,300,336,
156,132,61,45,1543,1547,
// count=160
1020,1080,510,540,396,342,576,612,234,288,288,306,342,324,522,594,558,498,563,569,
284,320,279,249,150,144,75,72,225,216,990,916,552,644,624,628,935,913,617,679,
446,414,360,360,140,160,500,520,220,200,440,400,280,320,1662,1611,554,537,490,525,
621,589,690,680,1291,1223,601,543,1162,1174,406,398,430,482,1218,1194,1958,1968,620,664,
388,384,1164,1152,172,184,300,264,344,368,140,120,1220,1240,772,798,976,986,488,493,
2742,2766,1326,1326,1209,1235,117,91,196,232,449,438,812,802,406,401,738,744,630,594,
108,150,49,38,98,76,40,32,80,64,819,762,1541,1539,90,66,276,312,366,378,
456,444,4848,4976,17,2,2092,2066,1274,1294,637,647,268,331,210,245,420,420,264,288,
1372,1356,88,88,264,264,176,176,924,1002,792,794,612,594,222,216,444,432,500,530,
388,334,1386,1454,1326,1337,1366,1415,441,402,496,466,992,932,1208,1286,4208,4179,28,10,
368,374,300,270,68,104,2698,2684,92,64,1200,1260,108,104,72,48,144,160,360,368,
252,264,36,56,288,320,216,208,930,947,544,514,300,315,640,610,340,295,340,328,
574,555,708,747,585,538,964,880,200,190,284,302,84,112,116,78,1780,1796,168,192,
384,372,84,96,300,276,312,302,1282,1337,365,410,311,320,568,550,879,870,622,640,
257,230,54,90,180,202,360,404,744,732,1051,1006,149,178,200,240,400,400,500,520,
300,280,100,120,810,780,890,900,2034,2016,600,642,292,288,574,550,287,275,1030,1114,
// count=128
858,908,836,798,636,630,468,504,300,378,1732,1844,1385,1365,453,419,994,964,497,482,
822,852,276,272,564,596,264,220,20,10,40,20,1010,1033,276,208,204,182,288,276,
1588,1592,1241,1260,548,536,150,150,300,300,144,140,288,280,182,176,364,352,396,360,
1188,1080,382,402,191,201,573,603,536,500,1116,1110,1020,1052,2046,2058,495,510,625,570,
522,486,1014,1014,428,460,736,704,792,758,1336,1314,416,376,167,182,334,364,336,336,
169,154,165,210,338,308,1230,1230,270,210,106,133,246,241,458,507,352,374,140,108,
233,249,466,498,60,72,180,216,120,144,276,318,270,318,1368,1356,915,1003,396,352,
329,318,500,536,320,284,1113,1129,186,158,702,720,60,60,120,120,180,180,230,255,
110,135,130,105,70,45,50,75,102,82,1028,1046,1339,1285,150,154,300,308,532,483,
588,602,410,401,108,96,216,192,368,399,405,384,483,504,966,1008,1256,1208,1396,1352,
1373,1346,478,484,533,560,780,749,1298,1269,1296,1296,1652,1652,240,240,300,270,540,510,
360,300,180,210,1053,1063,111,145,1414,1498,491,467,108,104,216,208,322,310,644,620,
121,138,242,276,867,840,794,856,396,400,180,136,124,148,62,74,
// count=137
821,801,36,32,72,64,144,128,1198,1184,1278,1254,132,150,468,402,600,552,264,300,
432,426,334,369,146,105,480,474,954,954,738,702,1258,1294,1438,1384,471,401,494,452,
618,684,988,904,235,252,400,440,692,688,604,575,528,495,594,627,92,94,348,436,
184,188,276,282,797,756,810,840,870,860,716,752,132,156,66,78,198,234,504,528,
168,176,84,88,680,664,1150,1232,785,712,48,52,72,78,24,26,168,182,120,130,
96,104,978,1001,450,426,492,472,136,106,356,366,220,260,1270,1274,1104,1070,1110,1170,
270,222,549,490,773,751,715,719,657,687,58,32,264,288,1228,1204,732,696,654,678,
224,256,900,952,198,165,90,72,364,364,336,294,750,740,1180,1120,450,486,580,516,
1201,1189,328,358,300,310,244,214,544,524,272,262,28,48,56,96,983,1032,350,315,
1060,1060,180,168,180,204,180,180,180,144,360,420,180,192,180,156,301,310,602,620,
312,324,1160,1102,781,769,394,380,788,760,879,836,148,136,215,185,644,728,1719,1653,
720,720,240,240,124,120,130,141,118,99,254,261,272,324,136,162,248,240,2027,2018,
1064,1120,896,1008,504,486,798,788,442,444,884,888,828,804,56,84,440,440,242,176,
912,858,608,572,1000,999,894,918,212,200,424,400,840,822,
// count=141
841,902,408,387,169,148,78,84,156,168,234,252,312,336,1200,1256,572,578,756,720,
1152,1098,344,344,172,172,236,206,300,240,280,310,590,640,798,779,520,520,528,540,
512,500,504,480,536,560,552,600,488,440,8,20,580,618,290,309,216,228,198,186,
180,144,234,270,1286,1418,483,447,161,149,168,166,336,332,888,854,932,934,388,429,
280,320,140,160,600,684,540,492,396,362,448,416,528,528,608,640,896,832,80,112,
840,810,1386,1386,930,902,165,200,32,22,64,44,493,591,370,367,185,170,740,680,
456,504,370,340,612,624,324,378,468,432,1176,1232,27,13,701,713,873,839,1088,1136,
468,456,498,534,996,1068,1123,1054,1570,1608,284,314,1196,1216,568,628,462,462,594,528,
465,486,244,262,488,524,156,156,78,78,222,186,144,108,168,204,246,282,611,550,
1218,1220,1122,1170,1165,1213,457,411,31,26,62,52,93,78,1410,1417,316,264,1004,1018,
2236,2242,543,597,652,632,804,824,228,288,76,96,966,942,114,90,1398,1380,1185,1224,
604,592,212,185,1480,1400,740,700,240,200,192,208,96,104,336,304,288,312,432,408,
480,520,324,360,228,216,1320,1196,624,629,480,470,536,514,268,304,402,409,134,105,
1020,950,1115,1168,352,362,464,424,728,776,559,526,321,360,1752,1764,1740,1736,1317,1282,
1017,1098,
// count=152
246,241,492,482,306,369,60,80,228,232,168,152,444,376,120,160,435,438,2226,2168,
229,257,487,485,1123,1195,838,920,419,460,1260,1251,188,220,337,296,525,516,1100,1100,
692,694,346,347,1668,1648,68,62,88,112,272,248,136,124,156,174,176,224,204,186,
138,120,414,360,2366,2372,1032,1104,216,195,948,942,516,552,138,114,759,737,1024,1018,
180,210,664,598,212,200,380,310,1312,1314,572,584,204,204,100,112,104,92,208,184,
108,72,308,296,96,132,1344,1392,1045,960,1845,1800,999,1005,738,690,174,210,87,105,
216,192,108,96,496,476,248,238,1170,1108,396,376,652,656,326,328,202,196,606,588,
404,392,342,357,681,659,100,104,220,200,280,320,200,208,120,96,300,312,654,674,
575,554,79,120,922,884,1709,1637,394,466,197,233,1218,1224,210,193,258,203,372,376,
1056,1020,516,528,540,492,627,604,801,832,453,376,276,256,420,440,144,184,854,796,
427,398,478,532,2521,2369,67,93,134,186,294,318,288,276,576,552,1032,1020,264,264,
528,528,541,523,1082,1046,550,513,1266,1291,262,327,454,451,210,240,1596,1560,186,138,
384,396,768,792,240,240,480,480,849,870,30,12,759,834,939,906,364,385,1222,1202,
550,603,611,601,520,544,1052,1032,988,956,874,769,108,108,216,216,406,388,447,511,
1709,1701,73,117,504,490,536,636,268,318,386,345,636,629,312,365,916,863,756,795,
1520,1622,720,660,
// count=140
456,480,1724,1648,72,104,1316,1344,736,713,748,775,740,704,496,512,243,246,24,29,
72,87,96,116,48,58,120,145,144,174,168,203,380,400,197,189,394,378,450,414,
270,330,252,240,54,66,396,348,108,132,306,306,504,480,162,198,686,720,44,46,
88,92,176,184,385,367,770,734,372,364,236,218,496,508,248,254,1257,1200,1251,1224,
1254,1212,1248,1236,500,500,1364,1456,222,264,1504,1458,111,132,126,150,219,229,284,328,
496,466,2254,2235,503,502,989,1058,756,726,747,685,857,883,984,944,468,520,1174,1210,
376,388,252,288,500,488,124,100,293,269,729,787,404,388,488,514,572,640,84,126,
716,720,232,192,535,507,480,492,24,32,72,96,48,64,96,128,144,192,84,72,
168,144,604,662,634,602,628,614,622,626,616,638,948,904,204,240,1740,1710,1731,1722,
759,715,456,416,228,208,347,362,1038,990,224,250,746,697,216,192,638,655,432,384,
2760,2590,126,120,450,510,368,378,524,470,736,756,108,88,262,290,699,630,120,100,
531,481,765,891,27,27,54,54,81,81,135,135,108,108,189,189,162,162,648,684,
556,540,891,880,1852,1858,304,336,312,288,308,312,612,648,688,694,778,743,340,403,
1654,1737,657,667,96,108,192,216,352,318,673,700,315,290,1108,1068,138,134,414,402,
// count=126
1055,1026,354,323,1274,1234,566,588,629,578,711,710,292,248,608,642,358,334,1012,968,
308,352,1386,1368,150,200,470,500,1520,1600,380,360,1086,1086,293,264,450,408,672,693,
1224,1280,1513,1590,650,630,190,150,230,240,460,480,256,302,336,336,508,472,164,176,
328,352,192,168,1044,1044,522,522,462,484,600,660,840,840,420,420,786,768,530,522,
168,128,628,648,925,858,1151,1191,214,198,428,396,124,112,286,289,162,177,324,354,
362,419,210,159,38,65,448,474,1315,1313,1261,1321,326,312,367,376,1294,1203,1209,1196,
940,900,500,510,580,520,1066,1066,670,610,648,612,780,780,132,168,2514,2520,898,934,
722,630,694,711,320,333,960,999,1143,1166,594,606,508,546,228,204,552,564,324,360,
876,924,816,864,528,516,288,348,264,276,96,72,360,348,528,552,168,204,456,420,
854,862,175,140,980,1000,426,438,516,498,762,816,90,60,148,153,296,306,801,800,
1001,997,76,56,176,206,294,302,504,477,210,175,84,127,880,900,1272,1216,640,640,
632,576,944,962,778,862,420,420,840,840,653,679,328,284,240,240,1308,1280,912,1000,
1448,1508,144,114,171,202,756,680,549,542,1305,1222,
// count=147
70,70,140,140,210,210,280,280,106,115,212,230,318,345,564,540,341,356,1198,1148,
143,145,286,290,429,435,1479,1558,123,104,246,208,180,160,418,400,76,56,1622,1674,
1764,1746,156,156,312,312,360,456,1464,1434,868,854,1512,1526,1242,1353,340,309,132,122,
528,488,222,201,214,251,436,452,658,653,442,439,884,878,300,300,200,250,400,350,
539,475,1993,2047,305,275,396,396,132,132,504,570,372,438,252,253,759,721,327,357,
356,424,512,504,890,836,168,186,134,140,298,340,238,220,342,300,372,360,104,80,
164,200,1015,971,488,542,180,180,360,360,108,144,252,216,288,324,63,58,189,174,
252,232,126,116,1072,1074,600,626,366,331,177,159,354,318,270,342,380,400,1336,1390,
150,120,690,750,1812,1840,3290,3364,22,44,186,185,372,370,152,171,628,582,891,876,
933,954,420,420,770,735,910,945,31,36,289,234,93,108,62,72,124,144,688,664,
344,332,1797,1767,459,438,618,645,630,627,642,609,700,658,350,329,520,522,708,652,
330,378,1638,1602,2270,2240,140,122,568,520,172,176,344,352,660,652,330,326,414,366,
285,334,148,148,296,296,426,340,453,496,305,348,260,260,520,520,336,356,708,668,
649,607,180,168,120,112,60,56,804,816,826,849,1310,1254,697,730,738,726,225,246,
675,738,52,55,104,110,156,165,208,220,260,275,1314,1278,
// count=154
828,806,164,188,184,160,92,80,348,348,276,240,256,268,72,108,1192,1164,430,408,
96,120,526,528,1006,1128,622,648,334,288,604,648,592,624,556,552,568,576,532,504,
496,432,520,480,484,408,12,24,986,998,694,632,493,499,1052,1030,127,126,381,378,
508,504,831,833,143,165,540,564,270,282,306,305,312,276,1121,1103,34,19,2242,2377,
68,38,456,444,198,198,88,88,264,264,176,176,420,420,812,784,360,348,26,30,
13,15,39,45,52,60,91,105,65,75,78,90,96,104,288,312,192,208,292,282,
146,141,438,423,2424,2334,1523,1498,108,138,396,396,1422,1344,490,504,280,288,140,144,
70,72,210,216,236,248,944,992,120,127,240,254,360,381,636,654,837,912,435,396,
404,355,392,424,196,212,904,904,558,600,488,496,444,412,120,140,684,692,564,552,
1226,1180,175,203,198,189,124,136,546,516,422,380,496,544,248,272,1387,1392,317,287,
246,282,809,851,1400,1380,411,402,822,804,1056,1020,108,132,216,264,1416,1410,438,501,
153,185,1062,1034,1036,978,1397,1356,2284,2336,58,92,347,371,700,712,220,200,174,168,
522,504,348,336,410,392,205,196,780,808,844,848,784,824,437,482,629,610,44,42,
88,84,176,168,132,126,516,474,678,750,287,292,574,584,107,76,681,660,180,216,
378,310,292,307,876,921,1284,1248,1380,1368,96,120,396,392,468,474,144,183,625,630,
72,58,216,174,864,860,97,67,
// count=148
546,552,273,276,366,312,634,637,933,917,706,776,353,388,375,361,480,508,750,722,
664,615,734,735,468,444,324,282,144,162,622,604,396,396,195,171,201,225,124,104,
162,162,54,54,234,270,216,216,180,216,108,108,144,108,72,108,991,984,1368,1397,
148,150,444,450,396,438,402,386,1900,2018,1244,1214,436,424,2123,2068,1464,1407,366,383,
732,766,469,472,761,800,1980,1984,726,702,228,246,954,948,1118,1198,559,599,1572,1524,
101,110,202,220,1234,1229,1348,1268,1337,1318,329,353,435,415,304,292,488,440,300,360,
120,144,60,72,364,364,184,148,244,220,372,392,604,574,1002,996,781,798,870,894,
478,466,486,498,558,504,368,414,276,272,552,544,1038,1060,308,352,37,18,382,388,
419,406,252,288,84,96,168,192,967,907,136,112,296,288,160,176,364,344,92,120,
68,56,228,232,210,240,882,828,336,336,581,555,7062,7157,10,21,196,152,860,898,
508,548,156,198,352,350,468,416,411,441,144,162,144,144,432,522,144,180,288,288,
288,270,144,126,588,648,2392,2416,335,370,305,284,320,327,350,413,828,792,890,944,
842,909,188,224,432,486,340,358,248,230,496,460,92,128,156,102,348,360,600,580,
792,860,252,220,104,92,414,462,1250,1261,492,492,879,831,568,641,675,642,567,588,
124,138,444,472,72,48,1464,1496,364,360,50,46,100,92,150,138,
// count=160
1182,1218,591,609,426,374,165,235,240,240,480,480,407,440,1682,1632,841,816,492,432,
471,523,617,611,558,558,282,262,552,592,276,296,564,524,1838,1851,676,600,542,588,
271,294,520,550,292,292,228,258,64,34,584,584,1448,1447,156,158,481,520,299,270,
143,112,312,316,1700,1710,52,36,104,72,137,111,416,450,832,900,1356,1344,348,320,
1231,1269,1821,1846,474,438,330,330,186,222,804,768,1454,1532,336,328,672,656,236,220,
860,920,1512,1580,306,294,570,618,438,456,132,162,1373,1341,1115,1145,129,98,380,392,
760,784,608,622,280,280,240,270,320,290,560,560,940,914,496,496,427,424,384,410,
513,452,1176,1088,96,120,48,60,144,180,796,826,80,70,160,140,240,210,1088,978,
1364,1434,2231,2317,116,86,444,426,2107,2140,974,1021,696,698,233,229,466,458,120,132,
240,240,120,108,360,396,360,372,120,156,360,348,120,84,80,80,400,400,160,160,
240,240,320,320,454,438,592,516,316,360,534,592,504,482,905,941,401,459,56,56,
28,28,112,112,84,84,140,140,668,676,593,596,1186,1192,484,482,180,160,124,162,
608,644,304,322,772,787,373,382,395,434,362,356,351,330,384,408,340,304,11,26,
1540,1460,2084,1976,445,430,1335,1290,1730,1782,116,75,685,675,198,162,864,891,132,144,
174,138,306,282,264,288,396,432,1156,1166,990,1020,416,362,599,557,477,505,300,296,
416,360,1000,1042,790,785,440,405,880,810,307,286,402,324,921,858,1248,1248,504,468,
// count=137
963,949,2432,2608,1032,1020,390,420,130,140,520,560,588,564,336,348,252,216,69,59,
138,118,952,970,1651,1608,1268,1256,1016,1088,1352,1312,84,56,690,702,345,351,1404,1412,
788,744,616,668,60,60,120,120,180,180,1351,1334,731,694,1163,1127,884,956,342,351,
432,486,597,590,591,565,340,288,640,650,1044,1140,188,194,564,582,376,388,96,72,
48,36,790,821,638,585,752,762,828,880,38,59,856,857,828,919,1428,1464,268,288,
282,246,643,654,78,68,390,418,156,136,1159,1191,470,450,45,36,135,108,90,72,
942,953,1272,1200,240,272,630,630,498,444,990,1010,651,633,156,128,495,505,339,377,
444,432,376,346,68,86,308,260,136,172,576,544,468,439,46,40,92,80,138,120,
272,259,544,518,312,252,479,488,802,850,420,440,840,880,644,624,60,72,120,144,
492,496,980,1006,564,516,447,435,894,870,1244,1210,2432,2386,44,72,210,192,406,428,
311,309,216,190,95,119,255,218,1104,1116,204,232,270,240,900,930,189,180,141,120,
48,60,96,120,237,240,192,240,285,300,560,520,660,660,280,260,100,140,858,830,
459,474,799,857,456,456,475,454,860,902,258,248,807,770,309,342,176,150,892,862,
778,826,1520,1606,385,356,1740,1704,282,244,516,568,798,812,
// count=147
500,464,756,744,344,296,153,139,306,278,133,149,266,298,462,487,1492,1488,109,121,
327,363,218,242,676,702,1692,1792,856,795,204,233,674,692,324,312,350,380,1452,1464,
60,36,1924,1802,661,658,95,111,190,222,792,750,388,334,404,416,1692,1712,342,372,
222,225,444,450,457,455,1156,1089,849,842,647,672,202,170,151,125,886,826,1044,1068,
522,534,140,120,280,280,280,320,420,400,140,160,611,550,373,399,746,798,273,279,
546,558,240,200,84,56,216,264,228,232,72,88,156,144,396,344,144,176,90,54,
60,60,30,30,120,120,300,336,90,90,120,84,120,156,240,276,90,126,180,216,
60,96,1256,1274,576,612,1018,1064,1934,1948,54,92,668,680,297,330,371,350,470,415,
246,283,358,349,828,764,216,244,210,193,426,437,252,240,234,234,18,6,198,222,
216,228,432,456,270,246,162,210,264,306,580,574,216,188,198,202,130,124,260,248,
124,102,1492,1533,189,174,245,284,434,458,378,348,1172,1128,264,266,1058,1102,529,551,
1164,1152,582,576,356,372,312,354,400,390,2662,2676,448,435,1395,1392,195,222,408,384,
834,864,1367,1352,180,180,540,540,90,90,270,270,880,944,607,650,954,1002,884,964,
1214,1219,110,85,530,561,718,687,860,936,430,468,533,626,318,340,240,252,400,368,
400,464,228,196,348,364,924,924,576,560,518,584,479,476,
// count=152
300,264,452,456,152,192,116,128,480,464,232,256,364,336,190,180,380,360,570,540,
420,368,202,220,539,564,1370,1318,514,551,812,800,1370,1397,72,72,36,36,180,180,
108,108,144,144,1656,1708,1290,1306,256,240,1116,1160,1344,1332,672,666,66,66,198,198,
240,204,288,324,132,132,264,264,90,126,354,390,156,192,108,72,324,342,206,198,
412,396,442,486,88,54,118,144,439,457,56,64,112,128,168,192,1048,1028,188,148,
396,354,712,670,316,316,492,452,992,962,500,510,545,545,1090,1090,1524,1500,576,632,
288,316,167,131,192,197,551,525,359,328,601,657,217,263,784,742,689,697,392,409,
640,618,1572,1512,1548,1592,280,328,211,248,1590,1519,224,192,684,712,405,390,450,486,
732,709,282,223,48,64,960,912,47,57,94,114,141,171,365,371,1095,1113,52,32,
1276,1288,1188,1152,44,68,528,528,264,264,456,508,1254,1227,228,254,356,326,528,558,
1412,1442,500,494,443,386,120,120,480,480,300,360,240,240,815,855,560,542,696,672,
108,114,216,228,943,918,204,216,548,559,1172,1132,1244,1208,272,314,442,454,239,187,
580,520,848,817,1603,1666,1575,1554,15,24,30,48,45,72,1108,1048,92,72,420,490,
538,542,269,271,533,491,543,593,1158,1224,112,110,224,220,672,660,628,688,314,344,
23,24,69,72,92,96,46,48,138,144,115,120,184,192,207,216,171,192,102,90,
522,504,261,252,
// count=143
175,189,560,532,350,378,184,192,368,384,261,270,87,90,174,180,750,765,702,699,
450,489,126,105,324,384,210,194,105,97,1004,986,352,423,216,204,210,222,426,426,
222,186,314,342,473,459,787,801,469,567,180,200,360,400,316,352,840,842,826,791,
849,858,191,150,364,317,764,772,452,454,92,126,180,164,272,290,1263,1216,1308,1386,
180,168,735,684,333,362,1186,1189,980,917,865,877,108,96,512,578,528,496,540,580,
286,308,370,320,328,314,572,616,900,880,372,332,1200,1184,1460,1400,942,872,203,181,
1092,1165,549,542,1098,1084,216,284,168,174,672,606,336,348,280,280,1447,1523,375,341,
384,396,186,222,570,618,198,174,1064,1180,844,856,829,832,893,829,1040,1096,176,132,
334,318,492,504,650,690,1453,1328,911,901,940,980,252,222,562,601,972,996,624,612,
570,570,185,245,470,530,285,285,2012,1912,1224,1134,193,171,579,513,260,254,520,508,
276,312,466,495,976,970,283,269,566,538,288,288,452,490,316,320,180,150,496,470,
136,170,396,408,190,184,380,368,570,552,1095,1079,390,420,300,240,345,330,690,660,
222,174,120,120,60,60,180,180,240,240,300,300,647,642,374,311,300,308,600,616,
900,924,372,328,186,164,77,68,129,150,181,232,335,368,206,218,154,136,52,82,
283,286,1012,984,1303,1335,
// count=165
324,352,521,518,718,684,610,600,452,406,158,194,1068,1030,744,823,111,118,36,24,
75,94,147,142,258,260,186,212,372,424,183,166,72,48,39,70,524,592,648,670,
612,562,624,598,892,868,769,791,1059,1139,680,690,1360,1380,1050,1086,1446,1422,1041,1031,
156,120,418,436,887,872,209,218,469,436,260,218,252,264,756,792,990,1006,216,240,
504,480,632,624,473,480,450,486,202,197,558,581,452,404,356,384,154,187,120,144,
708,704,240,288,230,206,460,412,1207,1154,469,473,472,466,944,932,1388,1350,440,440,
880,880,575,621,828,828,1081,1035,414,414,161,207,162,201,846,822,128,116,164,188,
456,492,292,304,455,420,1005,1012,24,12,624,672,641,623,660,660,702,752,105,120,
696,642,210,240,260,258,520,516,1140,1152,471,470,1284,1260,1738,1684,26,38,104,152,
78,114,52,76,2294,2254,364,357,728,714,814,851,436,479,230,208,896,895,30,23,
90,69,60,46,528,504,264,252,540,540,240,180,252,216,397,407,794,814,326,286,
2020,2040,240,280,1020,1080,208,208,436,376,416,416,704,770,682,693,660,616,1318,1341,
483,521,158,172,770,716,612,544,240,260,414,402,174,142,480,520,210,210,42,42,
84,84,126,126,168,168,2048,2052,424,408,212,204,1668,1696,436,488,888,876,226,194,
514,569,380,360,171,209,162,141,495,491,333,350,324,282,348,360,116,120,184,144,
300,264,280,336,232,240,726,680,363,340,516,528,281,285,1295,1230,729,750,283,240,
120,106,360,318,1523,1410,116,133,232,266,
// count=156
1616,1628,808,814,30,29,60,58,180,174,90,87,120,116,150,145,975,996,180,144,
305,287,125,143,375,429,430,430,24,32,48,64,96,128,72,96,1203,1154,720,684,
220,240,660,720,780,760,390,390,1350,1266,1636,1594,105,150,444,380,684,726,420,408,
1524,1572,840,816,1919,1908,164,176,216,192,1197,1234,301,318,602,636,351,306,1068,1008,
888,864,444,432,1259,1259,110,100,330,300,220,200,24,28,204,188,96,112,48,56,
72,84,120,140,228,216,144,168,132,104,108,76,156,132,980,1000,1000,950,126,144,
480,410,428,446,1044,1133,240,205,722,767,716,707,1427,1348,1880,1920,180,186,192,216,
168,156,372,402,156,126,360,372,144,96,50,30,520,540,570,570,620,600,470,510,
1854,1770,824,874,800,798,782,741,788,760,806,817,836,912,1472,1474,292,318,664,674,
648,694,297,333,956,944,954,936,612,678,758,746,864,762,272,272,544,544,132,168,
194,203,472,394,388,406,236,196,652,707,574,529,57,54,114,108,171,162,1668,1728,
834,864,181,193,1249,1318,114,90,633,647,315,265,332,300,1028,1128,612,600,630,630,
364,322,532,616,280,280,140,140,224,182,1538,1458,219,200,438,400,1098,1050,576,631,
365,332,132,132,66,66,198,198,2044,1959,444,434,620,640,176,206,352,412,956,1002,
1116,1152,996,960,504,534,624,622,60,44,444,490,404,416,808,832,608,523,1201,1226,
598,643,146,147,438,441,292,294,870,900,2684,2622,
// count=132
701,733,1060,1120,596,612,134,146,402,438,34,27,102,81,68,54,662,684,656,624,
780,780,390,390,708,692,354,346,1018,1060,246,180,1303,1291,523,508,498,481,376,426,
286,280,668,662,206,169,512,496,818,823,256,248,306,327,50,79,198,202,608,656,
266,266,2174,2114,2310,2256,590,586,304,282,608,564,446,444,1080,1082,40,30,300,300,
180,210,140,180,80,60,220,240,440,480,541,573,840,930,588,534,756,798,248,207,
1057,1011,1573,1639,129,157,444,474,621,576,638,696,408,432,404,362,204,216,108,96,
216,192,398,414,1244,1184,222,195,444,390,1315,1255,543,548,1395,1444,1345,1254,1370,1349,
1330,1197,1442,1433,167,166,334,332,738,768,210,174,120,120,360,360,240,240,252,252,
756,756,216,180,504,504,468,432,1460,1440,730,720,210,187,180,150,306,312,360,300,
612,624,126,162,1884,1883,142,126,199,181,398,362,364,378,728,756,1276,1288,1298,1284,
530,525,1060,1050,1064,1008,721,756,1036,1006,351,377,100,124,248,218,348,342,200,248,
1489,1592,947,1041,755,789,495,513,45,27,450,486,540,540,1644,1644,1806,1794,813,822,
752,808,180,192,540,576,500,448,484,507,986,930,252,264,756,792,680,618,52,78,
940,1008,173,149,
// count=147
165,164,330,328,18,18,72,72,36,36,54,54,144,144,108,108,90,90,162,162,
126,126,27,18,54,36,165,176,330,352,550,528,270,276,810,828,972,1048,1486,1588,
524,512,786,768,262,256,386,404,772,808,932,912,1348,1362,2656,2604,31,45,62,90,
504,496,252,248,1196,1224,1191,1200,253,299,669,639,956,932,152,164,652,604,304,328,
449,452,873,804,684,708,1206,1194,300,328,180,152,420,392,240,240,228,237,350,360,
1194,1182,440,410,625,581,299,299,598,598,336,328,672,656,252,252,264,204,504,504,
936,977,295,266,678,714,102,54,872,906,172,146,344,292,415,388,1032,990,212,192,
424,384,217,206,806,827,554,615,660,627,788,794,488,560,244,280,1564,1482,901,900,
244,256,488,512,1221,1175,232,232,302,344,591,528,197,176,162,120,35,56,464,464,
556,552,420,368,2189,2167,2207,2281,714,702,1428,1404,444,480,444,432,800,848,1895,1937,
3292,3268,704,682,660,682,1074,1146,180,180,60,60,120,120,357,373,372,352,699,767,
924,952,1278,1254,613,655,727,745,114,90,1068,1112,336,322,1403,1336,250,230,500,460,
540,600,896,896,1556,1492,79,101,1714,1694,48,62,1918,1936,144,186,192,248,1962,1982,
93,134,1398,1360,564,504,438,450,396,432,876,900,42,18,79,72,158,144,237,216,
132,136,264,272,660,680,528,544,260,221,988,988,728,767,
// count=84
759,751,1034,972,132,110,264,220,456,458,780,806,324,348,1739,1626,157,192,117,151,
1122,1138,1050,1008,170,170,340,340,400,460,1160,1214,580,607,97,81,194,162,240,240,
480,480,1280,1240,348,372,174,186,2204,2106,372,384,414,430,201,167,615,597,213,263,
1938,1978,1428,1377,1356,1381,1302,1384,664,648,332,324,166,162,944,922,1058,1075,114,153,
2000,2009,940,944,588,552,388,374,380,440,99,77,198,154,190,220,289,297,1900,1848,
228,288,510,495,846,783,174,207,135,150,270,300,154,178,449,446,141,90,295,268,
212,214,448,497,848,856,400,359,424,428,188,145,236,283,840,880,420,440,355,365,
1960,1864,84,112,540,536,396,399,264,266,132,133,246,261,492,522,818,811,812,781,
815,796,839,916,821,826,827,856,
// count=91
372,420,338,278,262,244,186,210,448,454,378,394,588,544,756,788,939,919,1410,1410,
1484,1464,371,366,742,732,120,84,408,492,132,144,252,228,396,432,264,288,237,228,
101,89,933,1017,303,267,202,178,790,785,124,104,542,577,560,560,500,440,287,297,
92,102,195,195,206,186,103,93,114,84,173,213,184,204,298,288,81,111,646,636,
624,654,1292,1272,565,528,300,286,150,143,450,429,93,78,172,148,344,296,1126,1168,
1470,1530,216,228,180,144,396,372,250,250,190,208,60,42,130,166,184,176,368,352,
176,144,192,208,200,240,392,448,138,154,768,780,888,948,60,84,648,612,493,473,
2156,2144,556,576,1275,1241,743,723,570,590,916,856,468,474,276,318,96,78,192,156,
1680,1706,196,159,204,212,120,100,324,312,84,112,288,324,240,200,1256,1316,321,288,
249,276,
// count=154
1152,1118,424,432,1154,1216,577,608,496,473,580,631,308,304,924,912,236,228,472,456,
506,517,828,772,937,888,576,630,1652,1676,720,752,931,942,758,726,734,687,218,247,
1009,1028,246,228,492,456,84,72,348,356,264,284,168,144,30,30,120,120,90,90,
60,60,150,150,1336,1342,899,977,798,838,596,560,101,139,1412,1424,196,158,838,854,
846,844,423,422,328,392,832,802,164,196,90,72,42,30,84,60,420,420,124,154,
544,574,2529,2673,100,100,200,200,454,478,1131,1171,1184,1191,174,195,1346,1377,340,360,
388,366,632,714,292,354,430,416,268,320,358,342,525,575,492,468,420,462,126,150,
936,966,810,816,252,300,89,98,445,490,267,294,178,196,268,296,134,148,373,344,
402,444,300,321,264,218,564,539,132,109,432,430,183,144,624,676,1545,1499,80,80,
40,40,160,160,120,120,486,520,146,132,172,208,662,617,408,408,204,204,706,679,
434,376,515,536,949,912,82,86,164,172,246,258,642,570,141,111,219,237,1423,1384,
1508,1538,914,847,294,307,990,1023,836,902,726,693,154,121,1078,1016,539,508,100,88,
176,192,200,176,276,280,76,104,392,434,220,202,612,636,647,651,731,675,434,430,
871,778,466,444,932,888,2130,2057,42,23,1420,1332,1440,1462,4256,4137,20,38,224,252,
112,126,336,378,60,60,120,120,240,204,180,180,120,156,240,276,60,96,100,104,
200,208,300,312,400,416,500,520,
// count=143
624,588,570,594,792,792,198,198,396,396,1178,1172,589,586,678,648,339,324,160,170,
804,808,188,186,376,372,828,804,414,402,244,264,756,756,768,788,294,270,1242,1306,
474,518,1601,1586,1703,1613,58,52,116,104,232,208,174,156,1344,1302,919,896,2587,2601,
1046,960,1392,1472,96,120,592,536,688,656,808,832,202,208,138,165,150,123,288,288,
144,144,282,309,285,295,1427,1351,280,282,564,498,560,564,211,192,643,710,1090,1140,
616,576,267,267,534,534,234,198,462,486,1612,1572,186,201,372,402,396,408,402,426,
408,444,390,390,372,336,366,318,6,18,240,270,915,870,872,844,436,422,320,346,
2175,2112,1028,1040,250,238,500,476,990,990,900,864,90,126,706,644,1233,1333,865,871,
156,160,270,264,90,88,180,176,450,440,193,218,684,712,540,540,570,606,510,474,
615,576,663,648,759,792,96,144,48,72,1132,1136,696,720,348,360,324,394,332,284,
656,678,970,967,834,913,216,192,396,408,576,624,432,384,878,856,616,616,564,532,
1304,1332,88,134,506,544,1043,1028,143,103,754,769,516,512,1584,1710,444,408,222,204,
100,114,300,342,200,228,268,264,318,348,218,180,586,612,50,84,1280,1240,454,459,
594,642,447,426,354,347,696,704,348,352,832,822,433,439,131,113,302,326,1201,1232,
184,184,368,368,756,735,
// count=149
550,550,156,132,192,204,168,156,180,180,204,228,372,384,12,24,642,654,1278,1224,
612,666,308,336,736,748,182,194,364,388,787,811,132,132,44,44,88,88,220,220,
1798,1769,1500,1510,204,224,180,164,102,124,204,248,539,504,878,834,1188,1188,904,948,
284,240,594,594,1659,1644,605,620,198,195,162,129,270,327,216,228,252,294,234,261,
180,162,18,33,556,584,364,336,1092,1008,420,460,400,370,853,863,282,294,576,564,
564,588,740,790,416,402,2070,2010,130,132,390,396,260,264,331,288,814,828,483,540,
978,974,681,722,165,131,16,12,32,24,64,48,48,36,80,60,64,70,128,140,
408,360,192,210,468,504,534,483,580,584,487,477,330,404,1430,1521,210,204,471,498,
579,522,261,294,630,612,420,408,159,114,545,559,295,281,132,108,280,266,560,532,
252,294,812,826,203,181,406,362,180,190,360,380,492,512,114,149,642,577,343,368,
1054,1108,200,204,203,171,400,408,403,375,197,237,495,518,168,192,732,632,321,293,
200,220,400,440,836,860,136,121,680,605,272,242,168,156,336,312,196,178,624,646,
428,468,130,146,260,292,3660,3780,40,20,324,336,162,168,668,657,2004,1971,156,135,
446,470,290,335,602,605,636,600,212,200,940,990,978,1000,486,486,272,276,760,730,
270,300,288,276,576,552,52,75,1692,1677,104,150,370,351,740,702,3758,3918,
// count=158
844,902,288,304,144,152,744,732,372,366,240,269,480,538,168,156,336,312,180,200,
360,400,1164,1096,362,372,724,744,645,714,499,481,1236,1248,846,812,894,887,452,484,
648,576,324,288,318,316,416,384,98,68,524,540,1048,1080,784,790,323,287,370,360,
740,720,225,240,450,480,650,578,770,806,690,654,1333,1347,39,69,120,102,360,306,
504,560,144,160,72,80,288,320,552,576,572,638,512,452,296,350,276,288,500,440,
740,760,66,88,1572,1544,132,176,337,378,100,128,730,674,630,546,352,389,948,936,
16,18,48,54,32,36,64,72,80,90,112,126,96,108,144,162,160,142,80,71,
240,213,516,524,204,264,804,816,456,504,2172,2328,371,371,268,276,536,552,574,567,
78,63,156,126,102,102,162,198,348,312,306,306,204,204,60,96,1362,1332,1304,1242,
252,264,504,528,400,420,920,860,800,840,260,220,898,998,1420,1499,220,242,110,121,
330,363,344,341,688,682,78,84,314,272,234,252,156,168,428,392,885,898,252,196,
420,420,588,644,756,728,84,112,840,868,156,130,312,338,468,468,1092,1066,216,192,
289,265,340,320,323,343,663,663,276,288,212,202,128,172,148,116,424,404,340,374,
64,86,132,170,289,301,578,602,348,376,288,276,984,1028,636,652,135,150,405,450,
525,450,270,300,540,491,416,411,62,40,354,371,478,451,1596,1584,49,70,892,886,
1064,992,864,902,30,16,336,322,1476,1604,916,856,458,428,474,516,
// count=134
746,776,840,769,820,796,1562,1526,781,763,1065,1006,801,794,1476,1448,396,376,948,858,
213,229,420,420,468,528,214,231,428,462,315,314,1437,1329,209,221,600,612,540,518,
660,706,60,94,213,216,426,432,339,318,126,102,174,228,87,114,150,120,1138,1172,
68,56,352,400,136,112,998,966,151,108,1068,1044,144,172,452,480,1512,1564,834,810,
888,816,444,408,196,224,540,498,1152,1182,502,510,433,387,132,126,264,252,686,691,
124,120,248,240,496,480,903,882,556,564,870,864,435,432,268,286,722,814,1067,1019,
69,41,333,352,188,151,1260,1180,894,954,840,886,54,39,696,696,270,318,348,348,
426,378,168,192,532,550,620,582,488,534,44,16,699,727,545,515,1136,1068,2652,2628,
650,622,285,333,438,438,140,161,1590,1548,112,124,224,248,516,516,336,372,292,268,
896,798,1181,1173,190,250,95,125,400,406,184,176,92,88,1416,1408,194,164,887,926,
940,916,1100,1114,550,557,390,359,2012,2034,1006,1017,143,114,1832,1794,216,228,324,342,
432,456,108,114,471,464,180,165,920,870,540,580,288,270,576,540,920,1001,756,744,
468,504,192,160,96,80,644,642,465,519,252,216,560,532,308,316,88,94,176,188,
264,282,1310,1323,568,598,525,526,
// count=140
516,464,582,678,258,232,420,455,580,580,560,610,126,114,312,324,186,210,252,228,
1058,972,1220,1232,1133,1100,1152,1128,576,564,458,451,180,150,356,340,348,310,456,444,
108,134,912,888,60,60,120,120,180,180,300,300,988,968,341,328,2356,2300,848,917,
1109,1058,480,480,240,240,976,987,212,206,777,703,681,711,729,707,1331,1331,392,428,
548,544,198,234,188,184,376,368,519,547,759,723,518,506,708,786,480,450,556,562,
38,56,442,394,76,112,299,280,2139,2130,684,648,324,360,276,284,552,568,324,280,
1191,1184,452,464,904,928,456,422,780,818,108,132,101,123,226,210,202,246,327,333,
452,420,276,298,837,772,1138,1084,352,328,884,936,64,52,128,104,1507,1576,923,920,
292,328,402,378,648,708,210,195,420,390,802,817,234,224,866,952,512,472,126,156,
90,90,216,246,180,180,360,360,234,204,144,114,270,270,402,366,386,396,591,569,
532,566,796,788,1364,1428,203,206,812,824,92,68,720,720,360,360,408,372,312,348,
1087,1096,184,154,492,516,246,258,1384,1389,338,397,420,420,210,210,2048,1993,188,222,
228,228,360,330,420,480,324,354,96,126,487,507,495,495,165,165,330,330,296,288,
2112,2007,98,131,225,250,185,177,370,354,392,352,588,528,196,176,954,894,427,484,
// count=147
204,222,1050,990,2004,2008,426,430,592,624,1052,984,296,312,192,204,180,140,245,266,
280,238,525,504,770,770,2308,2284,224,187,330,318,1164,1100,324,374,627,589,1045,1045,
116,134,878,841,794,797,744,778,1435,1393,372,389,825,755,492,472,196,202,116,104,
80,98,268,214,356,398,160,196,594,642,1086,1058,407,411,1868,1992,835,852,1212,1188,
606,594,88,124,1717,1691,127,147,202,179,358,395,156,216,514,611,640,650,271,316,
1088,1078,1251,1427,117,108,641,676,407,460,351,324,234,216,956,934,872,893,720,672,
288,336,624,672,336,336,126,132,252,264,378,396,600,600,300,300,80,112,492,492,
264,288,132,144,184,154,726,732,1094,1040,368,308,216,216,324,324,108,108,296,341,
1346,1280,253,195,599,620,604,582,447,491,300,304,1614,1602,150,152,300,304,600,608,
640,640,100,118,304,288,260,270,680,600,340,300,600,570,126,126,504,504,252,252,
618,541,246,234,1016,918,569,593,316,312,381,424,762,848,12,8,24,16,48,32,
36,24,780,759,360,325,420,434,612,624,306,312,84,66,198,251,366,383,534,515,
593,614,60,48,120,96,546,578,2350,2384,61,96,992,1016,496,508,280,316,965,947,
36,30,72,60,108,90,228,232,236,200,220,264,448,496,141,110,1203,1166,921,946,
531,528,888,900,60,96,162,174,324,348,666,642,342,294,
// count=139
456,458,120,141,456,453,336,312,240,282,216,171,576,594,1147,1145,1168,1131,72,96,
144,192,808,754,680,724,1120,1100,204,166,936,956,817,883,1364,1376,596,616,204,192,
264,276,60,84,583,643,620,615,366,390,414,396,2237,2198,608,558,124,102,976,1038,
432,452,414,399,228,240,456,480,296,304,592,608,70,98,1359,1330,348,374,5238,5040,
30,42,60,84,652,640,204,164,336,316,600,620,132,152,468,468,264,304,1538,1491,
265,283,1266,1236,420,441,354,297,232,240,116,120,348,360,464,480,579,610,282,292,
564,584,1163,1219,1288,1284,201,222,892,814,402,444,1550,1484,583,563,190,165,308,352,
996,1034,798,841,128,134,256,268,1716,1752,164,130,1889,1879,280,236,1360,1410,835,780,
175,210,1392,1442,1596,1484,708,672,498,498,786,822,210,174,630,606,315,303,1398,1494,
306,378,428,408,1972,2030,184,196,92,98,276,294,2154,2202,211,253,1308,1240,1874,1817,
420,392,924,953,162,174,396,360,720,708,324,348,460,466,484,520,524,488,201,189,
134,126,67,63,472,448,236,224,422,428,628,648,314,324,262,277,364,344,466,411,
626,621,453,439,906,878,788,830,81,72,27,24,54,48,135,120,108,96,954,992,
468,474,450,510,104,96,208,192,432,408,500,536,339,287,468,504,1743,1799,
// count=159
356,344,492,528,848,872,264,268,180,164,540,492,84,104,168,208,885,934,29,23,
58,46,87,69,174,138,216,228,432,456,528,496,164,188,1652,1666,1214,1220,1143,1146,
596,616,1012,992,1660,1714,456,436,288,258,2442,2622,568,640,920,896,510,510,434,450,
217,225,300,282,668,762,1132,1233,938,987,550,495,488,510,60,72,180,216,120,144,
608,624,504,552,180,150,684,702,252,276,318,321,198,231,120,90,396,462,1057,1066,
360,325,222,233,888,932,666,699,836,814,418,407,254,266,566,638,450,426,196,160,
600,600,1004,984,532,528,1064,1056,1254,1323,44,56,88,112,748,786,1268,1226,488,566,
792,738,264,246,1728,1668,864,834,1152,1164,576,582,525,495,492,496,951,993,1128,1088,
140,132,280,264,595,608,1083,1140,972,996,72,62,358,353,144,124,214,229,286,291,
70,105,855,834,307,291,155,135,152,156,158,114,146,198,149,177,140,168,1220,1264,
810,813,72,48,666,717,483,504,469,448,497,560,440,440,500,464,380,416,372,372,
186,186,200,204,400,408,186,234,214,174,204,210,104,86,304,334,412,382,308,296,
200,248,100,124,448,436,896,872,240,264,120,132,508,472,691,682,637,687,301,252,
285,300,586,552,404,428,328,298,732,726,520,490,140,160,576,576,288,288,432,432,
144,144,200,220,460,440,130,110,860,880,70,110,40,26,666,638,600,612,732,664,
348,360,745,715,382,420,202,196,204,232,200,160,404,392,614,732,444,462,
// count=141
263,265,789,795,1092,1134,800,806,1092,1164,1392,1449,392,364,196,182,684,648,342,324,
384,401,304,339,2260,2255,66,66,132,132,198,198,382,372,1146,1116,927,1027,1144,1102,
1417,1516,158,139,156,160,468,480,15,5,540,558,916,828,280,280,420,360,1029,1009,
108,104,54,52,162,156,759,742,1680,1660,1824,1676,1662,1658,199,177,1196,1248,398,354,
144,144,120,96,132,120,288,288,156,168,168,192,408,384,276,264,300,312,12,24,
462,511,3304,3214,600,570,920,920,320,350,140,110,943,1055,577,522,1430,1401,292,267,
510,498,252,264,126,132,378,396,1112,1060,772,852,1636,1752,148,136,538,538,3648,3820,
36,20,176,198,352,396,1364,1342,112,126,560,630,224,252,440,401,636,600,462,486,
600,538,120,136,240,272,904,924,230,260,270,216,180,144,90,72,576,582,120,90,
192,210,552,480,312,300,256,248,512,496,218,172,734,763,562,566,390,369,172,197,
372,384,1272,1390,2153,2273,1432,1402,290,230,700,720,540,600,362,392,320,284,160,142,
522,534,470,436,580,581,110,145,172,190,184,158,368,316,356,348,344,380,885,850,
1111,1110,226,260,614,602,300,360,928,904,314,272,1527,1658,558,523,296,283,528,510,
580,500,276,281,552,562,1032,1118,180,160,264,272,348,384,528,544,84,112,1506,1494,
204,150,
// count=135
672,672,336,336,432,384,994,1018,480,526,738,729,299,262,247,284,546,546,420,425,
116,104,232,208,2567,2533,444,516,444,432,888,948,160,140,620,640,672,632,1255,1248,
395,425,860,823,313,345,1484,1392,428,394,272,242,1004,1148,396,396,288,324,1408,1424,
1396,1352,1176,1116,1296,1284,60,84,179,152,806,878,388,394,776,788,209,242,550,560,
911,920,110,94,220,188,460,488,920,976,1092,1100,92,132,842,857,429,438,580,586,
836,811,256,225,128,134,512,536,149,168,148,128,1401,1473,2492,2488,886,900,126,126,
252,252,378,378,72,96,1571,1566,560,630,860,810,660,690,256,287,1896,1878,276,232,
1412,1392,1632,1594,1764,1751,1374,1318,390,433,210,240,1095,1152,172,144,2392,2550,44,46,
132,138,88,92,264,276,176,184,496,474,474,498,228,216,456,432,720,780,438,366,
756,720,252,240,930,894,1467,1525,744,748,408,385,112,92,224,184,1422,1482,144,204,
1242,1232,88,96,176,192,264,288,24,30,72,90,48,60,96,120,168,144,496,528,
660,680,636,712,846,810,726,754,696,740,756,768,30,14,508,501,368,392,184,196,
92,98,276,294,645,639,847,777,1829,1793,1262,1370,288,324,210,257,348,350,192,216,
174,175,156,134,330,309,557,535,1163,1189,
// count=79
853,920,248,220,628,616,196,168,432,448,216,224,412,392,392,336,1040,1038,90,90,
360,360,270,270,180,180,933,879,327,350,1386,1368,661,671,1341,1300,660,720,792,822,
132,102,852,876,426,438,372,342,216,204,476,488,282,248,141,124,468,455,350,398,
499,519,429,396,1449,1432,74,68,370,340,222,204,148,136,84,84,252,252,504,588,
168,168,336,336,424,452,401,413,355,335,378,374,23,39,46,78,254,274,752,706,
1006,980,1032,984,660,690,166,142,122,110,34,46,78,78,44,32,88,64,112,124,
68,92,190,202,156,156,421,383,42,20,1602,1620,976,965,823,800,585,520,238,280,
571,571,508,528,1324,1304,486,500,600,594,28,23,56,46,84,69,112,92,
// count=78
526,521,640,680,260,220,960,1020,580,560,1092,1128,480,528,612,600,74,92,148,184,
3732,3656,48,68,96,136,182,163,364,326,688,695,251,248,502,496,580,580,680,730,
480,430,1212,1164,1332,1344,60,90,1009,1019,930,866,654,662,138,102,456,474,2782,2748,
708,678,102,101,204,202,408,404,186,203,372,406,138,138,276,276,414,414,660,690,
1094,1206,624,588,1212,1236,606,618,294,273,518,547,406,410,224,274,112,137,479,447,
381,393,860,840,532,536,540,520,980,1000,584,494,812,806,2100,2060,48,48,144,144,
192,192,96,96,240,240,288,288,384,384,264,280,528,560,174,136,354,424,310,350,
155,175,465,525,120,144,60,72,180,216,1616,1626,808,813,519,498,
// count=146
2556,2510,208,264,556,552,104,132,452,420,672,624,448,416,224,208,132,120,264,240,
208,220,460,436,252,216,372,444,416,440,80,80,120,120,40,40,200,200,160,160,
630,660,246,204,1340,1366,1420,1488,560,560,1051,1018,84,72,84,102,168,174,252,276,
168,144,252,246,336,318,252,306,79,74,316,296,237,222,158,148,2148,2192,792,752,
308,320,616,640,276,234,150,152,300,304,820,840,258,306,420,420,840,840,506,528,
398,344,692,696,450,462,270,222,36,48,342,318,378,366,414,414,306,270,72,96,
888,854,1058,1109,990,1007,34,51,1420,1528,1464,1428,220,200,440,400,236,248,118,124,
354,372,2057,2066,788,797,404,409,1158,1194,1014,1014,388,376,640,612,500,528,301,313,
1020,1060,204,212,52,64,208,256,104,128,368,326,1686,1736,523,542,472,416,420,420,
210,210,464,464,232,232,138,114,294,306,156,192,232,266,448,434,216,168,776,796,
456,430,912,860,620,615,60,78,30,39,90,117,194,185,640,541,912,939,1308,1336,
1136,1138,1176,1224,602,566,2059,2071,2411,2454,212,244,252,240,232,242,832,791,990,1039,
92,80,184,160,276,240,512,520,484,428,180,160,876,968,612,614,985,1013,942,956,
988,968,1210,1108,36,26,72,52,740,720,244,216,496,504,252,288,480,450,660,750,
36,24,72,48,168,156,336,312,504,468,239,207,
// count=143
560,520,100,88,200,176,109,90,1180,1136,389,340,900,872,168,152,735,697,834,842,
99,145,300,304,88,88,176,176,264,264,328,312,361,328,492,476,417,441,90,90,
30,30,210,210,180,180,120,120,60,60,150,150,107,122,228,240,456,480,276,312,
264,252,528,504,645,648,106,103,212,206,380,400,1480,1480,497,527,463,409,960,936,
452,428,672,679,173,160,346,320,570,620,576,512,507,516,552,528,1104,1056,494,489,
1611,1561,312,352,156,176,455,534,162,148,81,74,405,370,243,222,252,252,336,336,
84,84,168,168,120,102,468,528,1010,1052,143,189,1704,1700,130,180,740,750,610,570,
844,872,736,694,400,402,800,804,154,130,1332,1296,1024,1036,252,264,352,304,272,272,
232,256,20,8,312,288,1107,1129,114,152,378,374,492,526,1182,1202,72,52,604,593,
521,579,687,607,306,306,162,126,144,180,818,759,408,404,1776,1728,266,304,228,240,
432,396,912,960,736,690,884,872,1342,1290,331,376,759,739,1090,1115,510,456,519,544,
1029,1000,1140,1140,570,570,933,876,727,770,2071,2137,916,1018,204,162,1369,1330,732,726,
306,288,240,300,120,150,720,700,780,800,60,100,564,554,852,906,144,176,502,430,
228,273,173,178,346,356,573,529,213,229,426,458,434,460,544,538,190,207,1180,1096,
1328,1352,74,128,37,64,
// count=160
282,338,204,200,486,538,408,400,846,807,342,381,450,411,792,792,243,222,507,546,
264,324,583,599,604,664,400,400,544,496,688,592,628,660,314,330,701,702,477,534,
492,482,800,850,246,241,1358,1381,40,40,120,120,160,160,80,80,200,200,360,360,
104,82,460,514,876,842,414,366,828,732,798,666,708,720,306,276,630,663,108,129,
198,147,738,792,522,534,766,831,80,104,1671,1662,570,570,396,462,456,426,295,271,
712,774,366,360,504,472,252,236,1430,1413,598,648,583,589,676,753,1073,1014,88,77,
176,154,1508,1498,90,126,420,384,450,426,60,84,30,42,390,342,484,466,90,66,
394,400,878,866,788,800,304,334,698,734,516,552,368,336,193,184,579,552,450,450,
262,265,524,530,760,790,300,270,1838,1821,903,894,625,601,1269,1351,136,152,272,304,
348,312,720,760,404,432,624,588,222,236,444,472,624,592,1110,1180,575,575,285,320,
290,255,1292,1322,572,542,360,390,764,714,420,392,1137,1151,297,367,237,201,923,947,
1217,1170,781,818,1062,1002,1248,1266,836,912,206,177,594,599,780,704,344,355,728,756,
364,378,204,220,816,880,520,482,60,44,30,22,480,484,90,66,630,726,120,88,
1559,1506,310,340,502,532,415,370,917,902,327,314,654,628,1268,1328,1040,990,672,666,
900,912,904,922,992,946,2004,1992,412,376,542,560,271,280,683,656,1266,1351,853,798,
59,79,76,96,464,504,160,120,312,312,236,216,388,408,396,336,152,192,363,384,
// count=144
836,798,780,696,476,496,408,396,444,468,420,420,432,444,396,372,12,24,24,48,
1592,1604,512,565,146,161,505,432,256,300,456,384,1074,1002,408,348,258,306,79,67,
237,201,158,134,220,240,486,468,558,576,72,108,300,276,377,402,1856,1762,153,150,
306,300,459,450,788,756,432,456,2238,2304,900,930,954,1092,371,327,742,654,384,412,
302,326,1593,1590,1260,1296,585,606,180,152,92,80,276,240,1284,1289,252,234,270,300,
792,834,484,514,272,262,816,786,544,524,332,408,948,948,1136,1230,201,191,402,382,
804,764,448,464,896,928,1360,1306,456,478,96,68,48,34,552,546,408,444,848,890,
483,453,1196,1352,234,210,468,420,1180,1185,1500,1575,165,135,651,609,321,339,243,237,
78,102,564,576,3268,3244,1888,1900,1020,1032,1140,1080,224,224,112,112,336,336,1197,1178,
1868,1749,52,64,156,132,312,264,208,196,156,192,104,68,104,128,59,60,177,180,
295,300,118,120,236,240,740,742,1266,1260,978,986,356,362,2011,2020,776,800,388,400,
392,408,1003,942,170,180,340,360,336,368,120,124,264,252,144,128,240,248,96,120,
1803,1788,750,788,693,691,1386,1382,1666,1666,1624,1498,1242,1260,300,320,600,640,312,314,
1164,1072,738,693,426,379,226,208,452,416,60,72,504,480,240,288,324,264,624,624,
120,144,92,54,644,708,1066,1054,
// count=159
1376,1398,1022,1016,1152,1065,941,946,764,783,536,603,892,946,304,283,196,221,608,566,
56,44,112,88,712,706,527,513,334,294,386,438,193,219,48,48,96,96,192,192,
144,144,1364,1352,530,580,683,681,819,882,1206,1170,402,390,2384,2506,492,586,242,286,
759,784,517,498,738,742,369,371,980,1024,820,824,80,100,500,424,160,200,552,546,
746,721,994,1017,950,1005,657,684,813,786,756,744,661,686,331,282,1035,1043,1002,1010,
102,66,51,33,849,911,873,836,1180,1224,648,618,372,312,294,277,588,554,204,222,
489,466,408,444,285,244,432,432,386,360,1964,2028,596,654,700,776,14,12,28,24,
56,48,42,36,70,60,84,72,1640,1552,240,242,480,484,516,598,208,220,416,440,
220,206,728,779,1130,1154,402,375,528,552,264,276,656,678,276,308,380,370,1356,1362,
468,496,1942,1988,233,218,466,436,858,826,747,767,714,762,238,199,952,961,1720,1778,
2222,2142,316,264,60,54,120,108,240,216,540,568,1320,1320,142,120,284,240,687,676,
403,436,545,556,261,316,1785,1824,595,608,273,348,148,156,360,300,228,234,456,468,
847,873,1564,1488,124,160,473,468,500,521,492,482,564,584,246,241,318,343,882,927,
72,102,348,384,762,726,120,120,240,240,120,150,360,360,240,270,240,210,360,390,
120,90,493,488,240,182,1206,1200,918,942,59,47,348,432,293,285,175,191,116,144,
234,238,409,429,57,97,649,638,1308,1224,1036,1064,68,40,189,151,849,879,
// count=144
1206,1218,381,414,444,390,100,120,300,280,200,240,400,400,300,360,200,160,1083,1042,
84,96,168,192,420,392,210,196,1423,1452,2612,2599,306,273,1124,1175,189,161,60,40,
480,540,660,660,1050,996,53,40,106,80,852,888,490,522,579,610,210,210,420,420,
630,630,234,288,447,481,1152,1156,256,224,558,568,888,948,444,474,372,298,208,202,
416,404,430,408,531,549,1062,1098,1032,996,1896,1811,57,60,114,120,285,300,1404,1394,
764,702,320,346,1140,1152,1576,1586,171,173,342,346,572,500,344,350,90,90,180,180,
270,270,680,680,204,180,1044,1080,379,398,908,904,529,506,3620,3572,126,138,42,46,
84,92,168,184,1089,1201,452,480,762,786,570,630,192,156,344,308,172,154,728,746,
148,136,178,151,59,73,355,370,237,224,118,146,296,297,264,264,428,488,450,432,
486,516,468,474,432,390,18,42,128,144,256,288,140,160,353,318,241,246,594,564,
594,592,1102,1085,274,233,710,723,688,678,666,633,1424,1407,965,954,60,60,120,156,
180,180,120,120,240,204,180,216,60,96,141,133,423,399,282,266,595,558,520,519,
2077,2064,2048,2016,29,48,2021,1994,1051,1054,81,114,970,917,424,454,612,576,204,220,
384,352,102,110,714,770,516,504,666,632,954,1029,197,186,394,372,83,107,713,671,
276,282,1380,1410,1248,1248,624,624,
// count=134
714,772,1652,1608,972,890,279,296,180,180,60,60,150,198,120,120,240,240,210,162,
76,86,152,172,204,192,672,732,1694,1777,1354,1422,1234,1242,1484,1424,1482,1464,192,208,
732,824,228,216,264,224,300,232,838,881,416,398,659,692,1318,1384,288,309,414,399,
126,90,540,489,168,154,336,308,672,602,1170,1140,728,746,338,314,837,854,270,258,
574,603,729,694,306,283,584,594,278,311,492,580,1366,1356,683,678,812,802,1038,1026,
147,150,294,300,441,450,616,578,308,289,384,375,128,125,256,250,731,763,669,647,
1940,1949,328,287,672,666,680,716,656,566,902,912,1008,1024,504,512,208,248,252,224,
460,472,1054,1073,672,696,432,396,288,324,528,444,336,348,48,24,378,378,729,783,
1188,1191,360,345,468,501,1500,1448,644,602,1592,1598,600,600,300,300,977,996,1052,1085,
328,320,90,102,180,204,322,338,844,802,176,234,1364,1348,1540,1582,1056,1056,576,648,
552,588,504,468,2773,2833,262,234,1005,1050,60,50,456,458,552,616,336,358,276,308,
120,100,1624,1558,1169,1274,65,85,2116,2132,56,56,112,112,631,654,343,325,280,266,
2288,2284,830,800,818,830,68,85,204,255,776,769,640,599,136,170,456,458,492,480,
935,930,864,890,656,670,638,610,
// count=145
814,868,407,434,336,336,616,672,392,336,90,96,45,48,180,192,135,144,1255,1277,
2510,2554,156,184,120,120,360,360,240,240,1471,1459,44,32,464,452,332,356,88,64,
376,388,660,660,656,639,492,541,684,735,249,254,383,446,498,508,134,192,268,280,
397,382,236,248,232,186,179,217,175,155,293,279,297,341,118,124,1284,1240,980,932,
490,466,798,817,440,460,100,80,240,300,119,130,161,118,238,260,476,520,280,248,
296,266,250,280,376,370,512,410,296,260,219,189,438,378,1038,1070,342,342,264,306,
498,443,420,440,812,763,284,316,652,648,166,173,644,576,592,586,736,742,1092,1080,
1188,1140,96,60,1504,1416,1648,1632,48,72,1024,975,810,852,305,255,833,831,569,543,
108,120,152,128,260,248,368,368,304,256,216,240,118,104,454,452,100,140,218,244,
648,650,1160,1160,820,848,340,312,480,516,806,800,442,425,1200,1199,1126,1194,180,234,
676,649,636,654,772,816,668,696,64,48,732,744,216,204,360,336,252,288,180,168,
432,456,144,108,36,60,1182,1182,534,474,214,234,381,353,607,541,1544,1562,1852,1863,
696,606,894,848,1148,1184,1828,1804,696,708,498,470,240,300,420,420,300,270,485,481,
615,531,550,506,420,456,872,903,972,1008,2183,2191,246,276,738,828,296,264,316,310,
448,490,184,130,132,180,817,821,884,939,
// count=150
585,570,500,510,85,60,110,105,220,210,381,370,762,740,333,281,1753,1765,930,900,
465,450,616,648,309,327,300,288,318,366,618,654,291,249,324,344,360,280,684,624,
972,1032,148,144,296,288,444,432,876,840,474,414,68,74,340,370,136,148,204,222,
272,296,288,252,1222,1196,144,112,646,622,150,186,2668,2729,23,8,204,208,612,624,
486,558,672,756,476,476,148,164,832,812,54,48,108,96,270,240,162,144,602,588,
1468,1424,1052,960,1008,998,267,268,534,536,411,384,813,846,858,908,444,432,495,491,
990,982,304,312,608,624,1749,1736,362,398,168,136,1710,1557,468,495,192,180,384,360,
452,404,226,202,401,393,452,396,350,390,1300,1304,2258,2268,696,750,516,498,60,84,
636,666,148,117,1056,1113,460,420,340,355,180,210,432,444,864,918,576,612,288,306,
979,907,980,980,924,1008,1428,1429,416,464,229,226,215,230,243,222,44,32,60,72,
96,84,52,52,104,104,128,164,132,96,112,124,68,92,156,156,172,196,164,176,
208,208,148,136,8,20,2928,2952,160,150,320,300,24,32,12,16,36,48,60,80,
48,64,96,128,72,96,310,358,416,404,166,162,332,324,1418,1296,840,867,716,788,
496,537,904,898,452,449,990,990,342,306,1156,1226,384,376,192,188,246,286,344,374,
316,316,288,258,1914,1878,1576,1588,211,187,272,294,626,601,958,1019,745,724,85,106,
// count=152
349,403,132,132,264,264,1189,1200,528,512,360,384,888,896,210,221,420,442,827,821,
320,352,480,528,160,176,580,536,2216,2178,377,408,120,114,240,228,236,248,116,134,
356,362,228,288,124,94,2016,1914,210,240,954,888,778,785,410,371,255,275,1086,1116,
543,558,136,160,280,272,140,136,284,248,132,184,144,112,412,456,416,432,1613,1596,
1080,1062,828,816,575,519,396,400,654,723,277,293,554,586,464,416,232,208,902,890,
273,272,111,134,546,544,384,406,162,138,1856,1886,1411,1333,1110,1100,1080,1020,150,210,
276,288,678,654,276,305,900,852,938,968,469,484,822,804,353,320,1484,1496,1180,1178,
949,937,464,500,797,769,320,300,160,150,480,450,1286,1324,138,126,276,252,314,324,
1688,1711,276,329,966,966,602,630,288,266,216,186,432,372,336,304,1200,1208,864,904,
776,816,36,20,540,584,576,604,357,409,717,705,537,557,180,148,260,260,130,130,
390,390,80,76,160,152,320,304,240,228,56,64,270,252,214,188,112,128,382,380,
158,124,117,131,234,262,494,548,880,832,310,255,678,665,411,450,614,572,1002,1086,
1398,1362,194,197,388,394,250,211,138,183,444,408,924,936,1420,1430,460,410,396,402,
302,312,604,624,1614,1578,187,227,169,161,178,194,347,355,196,260,160,128,338,322,
365,421,64,54,128,108,2648,2512,492,528,1101,1174,36,24,504,534,72,48,360,438,
156,168,78,84,
// count=147
1224,1230,180,150,1252,1289,367,346,258,270,516,516,396,432,120,84,52,56,208,224,
104,112,156,168,312,336,333,301,365,365,1048,972,564,584,178,181,356,362,712,724,
875,917,655,734,220,183,246,260,492,520,267,254,288,248,225,266,555,502,302,326,
510,450,406,388,72,72,144,144,216,216,1766,1810,256,240,128,120,654,604,192,222,
1494,1356,462,421,638,631,934,989,736,805,598,598,828,796,999,955,1348,1288,484,464,
270,225,680,690,917,950,748,736,222,216,444,432,22,13,306,307,284,294,44,26,
218,255,192,156,750,750,2208,2256,552,564,72,72,36,36,108,108,144,144,180,180,
1273,1326,520,510,446,532,586,638,1073,1039,100,104,458,443,158,131,142,181,258,235,
200,208,300,312,2296,2306,635,610,1188,1200,252,228,900,904,132,152,504,448,1067,1118,
198,174,318,279,528,528,738,777,497,502,359,309,262,281,980,899,166,166,332,332,
452,440,60,90,512,530,691,713,1009,1031,162,138,847,893,420,480,84,122,588,594,
336,358,252,236,1678,1824,1340,1352,253,226,506,452,186,164,1092,1168,518,567,411,402,
121,102,290,300,1152,1002,292,316,236,224,492,476,792,836,872,819,452,472,388,398,
776,796,376,346,162,150,318,366,726,704,1002,950,1115,1099,610,638,537,551,122,128,
61,64,183,192,427,448,549,576,204,220,1099,1237,119,96,
// count=143
1158,1130,165,125,88,76,44,38,176,152,132,114,521,496,760,796,369,397,695,645,
1401,1436,400,400,1124,1208,480,458,240,229,450,485,460,460,470,435,510,539,680,710,
120,120,620,680,240,240,389,385,920,920,260,224,460,460,200,236,1268,1310,546,546,
1092,1092,540,480,125,112,562,587,312,363,1740,1752,628,640,423,389,1368,1338,1342,1330,
26,8,468,468,312,312,156,156,150,155,822,724,300,310,370,397,54,66,27,33,
81,99,135,165,108,132,464,483,548,544,636,582,888,984,700,702,268,268,134,134,
402,402,928,953,1092,1078,954,915,1150,1173,98,129,732,762,366,381,550,560,180,150,
213,210,246,270,426,420,33,60,724,768,1020,948,555,555,975,867,1065,1029,495,506,
220,198,440,396,1184,1154,110,79,181,180,724,720,543,540,362,360,1127,1174,1121,1098,
468,448,600,640,900,960,300,320,1448,1486,92,98,276,294,184,196,852,846,1871,1886,
72,57,1020,1095,618,633,114,143,480,450,420,420,540,480,60,30,84,63,1158,1098,
822,846,1676,1704,404,392,1036,1000,1009,1030,144,149,288,298,432,447,530,530,265,265,
685,755,216,216,324,324,108,108,1490,1448,124,144,1068,1112,534,556,804,814,1104,1070,
300,256,84,96,168,192,252,288,630,642,66,90,498,462,1025,973,1060,1047,490,492,
980,984,1612,1520,1243,1182,
// count=155
345,387,273,279,546,558,72,108,88,88,44,44,132,132,176,176,220,220,610,676,
780,870,1190,1230,132,108,952,1038,928,924,248,227,387,382,192,180,96,90,288,270,
102,102,204,204,336,372,174,138,1464,1562,270,340,148,150,74,75,296,300,222,225,
945,946,1184,1141,260,240,376,396,203,232,668,680,341,407,995,953,2215,2061,198,222,
144,144,324,360,576,576,288,288,252,216,396,360,180,216,664,629,1520,1565,649,681,
354,307,112,98,272,292,96,66,128,130,144,162,240,228,352,326,16,32,160,194,
526,492,312,360,156,180,356,426,505,485,516,504,528,552,504,456,692,640,528,528,
610,584,446,472,82,56,364,416,720,786,676,624,951,951,542,540,502,522,582,558,
462,504,40,18,180,144,142,106,420,390,278,284,698,674,414,462,323,339,1804,1776,
72,108,576,584,492,462,378,397,555,612,1434,1452,684,658,1105,1154,852,850,1704,1700,
284,264,216,256,568,528,132,124,396,372,264,248,396,432,180,180,216,252,360,360,
324,288,920,928,460,464,242,233,812,770,330,330,952,890,728,724,1140,1160,488,424,
1060,992,104,104,208,208,312,312,520,520,336,336,915,900,258,208,657,692,76,58,
1176,1298,2562,2466,1362,1288,672,752,804,816,219,257,585,559,366,302,865,832,828,816,
64,64,128,128,192,192,252,224,516,520,264,296,684,632,342,316,1024,1050,928,958,
1492,1468,304,298,114,138,228,276,190,160,
// count=170
638,682,395,358,2640,2712,330,402,264,246,938,1029,300,280,750,820,536,474,268,237,
868,820,348,406,1644,1734,456,504,387,405,636,612,318,306,594,702,249,207,69,99,
800,830,1268,1208,156,126,214,220,428,440,180,200,147,121,507,521,327,321,164,116,
397,366,466,500,302,384,233,250,1188,1184,728,686,896,938,1690,1614,36,24,72,48,
572,608,474,448,520,550,283,326,237,224,1050,1015,130,165,360,360,180,180,624,588,
720,720,444,408,368,332,153,195,674,722,521,527,168,192,312,336,156,168,308,296,
365,319,1404,1432,60,60,120,120,180,180,418,430,177,162,613,658,354,324,790,820,
120,118,156,124,102,115,138,121,204,230,186,227,240,236,84,112,222,233,18,3,
2360,2466,624,574,1374,1518,188,194,564,582,376,388,404,373,988,1014,1153,1198,609,560,
114,97,228,194,108,110,102,123,222,207,210,233,216,220,448,514,1334,1370,495,500,
516,516,348,306,1430,1380,252,252,126,126,308,352,440,440,880,880,572,528,660,712,
404,376,256,336,1516,1566,758,783,444,404,735,731,558,554,279,277,492,546,612,612,
732,678,24,36,72,108,48,72,816,876,1338,1350,408,438,567,567,630,666,504,468,
63,99,608,564,304,282,917,924,1351,1316,98,84,278,284,180,200,376,368,262,316,
82,116,308,356,484,466,2766,2744,680,720,442,407,770,785,411,466,393,412,732,662,
786,824,375,358,124,104,96,120,220,224,440,448,536,568,316,344,192,240,359,376,
718,752,2261,2373,225,199,1047,1051,990,906,390,390,1436,1428,892,864,978,1001,354,403,
// count=78
887,863,923,945,941,986,140,142,420,426,280,284,372,436,188,132,940,970,150,120,
1693,1725,1200,1168,1600,1616,336,312,1008,936,446,412,588,636,517,524,580,520,560,560,
392,426,784,852,426,398,427,446,665,602,1304,1352,396,342,1000,1140,500,570,858,834,
534,550,267,275,51,60,102,120,153,180,2052,1952,428,444,252,230,856,888,176,214,
2667,2621,88,118,115,113,230,226,36,24,72,48,1110,1084,1500,1488,1392,1356,108,132,
216,264,258,254,387,381,129,127,645,635,190,202,604,616,316,360,1076,1060,224,190,
447,466,84,96,336,384,252,288,168,192,5148,5214,5196,5298,8,14,16,28,24,42,
32,56,48,84,40,70,915,921,1341,1371,978,942,489,471,852,900,
// count=72
1244,1232,1272,1284,636,642,1984,2030,472,520,344,320,408,420,280,220,128,200,64,100,
498,472,532,512,698,735,600,624,300,312,120,129,240,258,840,840,1260,1260,1295,1236,
504,546,852,746,948,936,992,944,1279,1250,486,508,677,686,1440,1397,591,661,38,47,
76,94,1332,1256,450,426,396,432,198,216,136,176,68,88,204,264,413,389,885,931,
168,144,84,72,322,406,252,216,914,922,358,332,573,642,396,360,90,108,486,468,
468,392,24,24,12,12,36,36,84,84,48,48,72,72,60,60,96,96,1037,1005,
2873,2863,201,171,260,256,632,641,835,785,70,76,140,152,280,304,900,924,351,340,
605,666,702,680,
// count=131
402,444,648,630,740,700,580,590,462,486,350,390,990,1083,458,467,900,924,822,851,
1286,1330,90,90,270,270,180,180,1413,1475,878,818,342,382,610,600,364,344,728,688,
1220,1240,1064,1078,532,539,1050,990,690,690,392,434,384,390,376,346,380,368,388,412,
2057,1966,2676,2630,72,102,804,816,524,528,326,374,746,782,1048,1034,524,517,732,724,
294,269,438,455,1412,1336,406,388,812,776,1060,1050,695,709,495,450,710,730,550,528,
250,232,500,464,261,252,1137,1254,522,504,324,322,204,222,120,100,84,122,608,552,
304,276,716,756,1492,1492,373,373,570,582,216,216,108,108,1090,1092,147,119,1080,1156,
286,279,572,558,1018,975,441,402,648,684,444,408,120,100,1004,1024,469,448,1032,1056,
516,528,438,398,444,458,488,466,100,120,290,260,390,380,200,240,450,498,396,396,
342,294,166,136,151,160,468,456,302,320,755,800,627,707,1628,1540,550,506,1194,1215,
1238,1175,318,294,1147,1181,92,86,368,344,184,172,276,258,460,430,456,470,550,603,
362,337,637,644,516,504,636,630,194,236,1004,976,990,1050,468,456,936,912,465,483,
868,850,708,660,212,178,687,726,737,656,1536,1554,240,240,180,180,60,60,120,120,
300,300,
// count=131
838,864,690,740,899,903,462,511,48,60,96,120,168,186,336,372,1396,1440,280,280,
560,560,1072,1096,536,548,380,370,260,280,120,90,588,546,785,805,90,71,1208,1163,
893,898,1516,1480,353,345,706,690,2420,2416,1571,1548,876,912,72,108,288,306,36,54,
216,198,252,252,540,558,1284,1296,547,585,156,168,324,288,312,336,94,74,1657,1651,
390,360,412,440,1184,1168,80,60,700,660,460,480,135,123,324,370,1341,1338,447,446,
480,516,780,804,300,288,648,684,216,228,120,156,312,300,408,372,432,456,96,72,
143,139,245,265,102,126,286,278,490,530,327,291,184,152,198,240,174,166,546,572,
324,258,914,962,1022,1075,1163,1139,549,574,148,172,1248,1222,1688,1691,186,216,93,108,
399,366,1080,1014,312,258,820,792,908,919,500,464,1830,1866,924,968,980,1072,760,838,
44,32,164,202,296,298,384,362,252,266,208,234,1128,1104,300,264,544,560,228,228,
456,456,252,288,416,392,684,665,332,320,393,432,1708,1694,1543,1528,580,608,228,244,
348,304,576,548,504,522,212,189,588,568,816,896,1125,1083,517,609,375,361,1302,1344,
462,504,2261,2314,1546,1564,238,280,762,720,1278,1258,639,629,428,408,236,248,1658,1596,
169,138,
// count=142
860,790,795,775,665,745,296,304,148,152,748,692,600,540,180,144,180,180,180,216,
360,324,360,360,360,396,1050,1020,212,214,424,428,786,810,116,104,232,208,298,346,
414,450,186,198,372,396,536,506,1010,985,412,452,1022,1055,975,936,470,538,684,660,
774,744,356,344,712,688,644,700,1344,1360,60,88,412,396,206,198,341,378,618,594,
135,180,547,576,1598,1600,411,438,104,141,796,828,1979,1919,190,210,890,840,508,472,
556,544,604,616,48,72,308,294,456,432,228,216,117,135,484,468,367,333,234,270,
1228,1320,276,232,432,432,1182,1168,996,968,712,760,1034,1092,4026,4038,372,372,414,447,
1070,1053,1262,1311,655,676,712,682,112,126,224,252,872,840,886,829,610,609,497,442,
978,955,360,348,162,186,558,510,522,534,300,280,322,357,876,876,34,50,808,776,
842,826,1940,1910,1228,1264,614,632,1459,1510,603,566,528,521,177,133,349,341,521,549,
698,682,152,160,132,104,436,424,304,320,172,216,1724,1742,562,610,1024,986,528,594,
660,660,704,682,1144,1232,44,22,623,613,461,521,675,670,1920,1812,246,270,660,732,
1308,1272,216,180,870,912,435,456,1644,1696,1380,1350,460,450,920,900,1310,1196,1740,1736,
780,780,528,486,674,640,1348,1280,715,766,376,352,208,225,782,744,438,446,372,416,
672,656,300,240,
// count=148
786,804,644,674,196,160,2266,2228,741,766,1342,1320,510,521,1020,1042,304,280,1492,1512,
2200,2200,1776,1788,42,66,908,842,1188,1232,286,298,572,596,138,115,642,649,504,534,
944,1005,292,267,573,573,462,426,684,720,111,147,210,245,560,574,910,903,350,329,
123,126,246,252,303,246,549,498,369,378,390,402,840,768,420,384,1884,2032,664,672,
1560,1592,653,612,240,274,120,137,1055,1028,735,756,460,410,1344,1332,384,350,1007,926,
480,480,240,240,324,354,144,160,72,80,216,240,300,288,228,208,156,128,288,320,
544,512,568,608,272,256,1092,1211,280,273,605,595,1210,1190,349,407,330,330,660,660,
210,174,780,816,318,322,636,644,292,302,894,924,560,532,81,107,1656,1696,220,219,
576,650,288,325,68,106,864,975,440,438,936,864,468,432,734,676,1099,1070,1484,1442,
460,496,525,522,936,936,576,636,288,318,552,552,138,138,414,414,1132,1216,604,532,
1514,1581,1024,1002,178,141,534,498,636,672,244,208,408,431,816,862,652,639,828,872,
1211,1171,600,608,666,612,606,558,552,480,276,240,1020,1068,972,948,518,540,1020,1036,
852,932,1326,1242,80,90,160,180,320,360,450,498,450,366,360,372,270,246,1425,1438,
930,989,707,686,124,156,426,405,550,561,1432,1480,221,222,442,444,484,528,584,568,
7,11,21,33,14,22,28,44,35,55,42,66,49,77,56,88,
// count=133
1336,1270,618,642,464,439,1480,1582,81,59,181,196,486,448,314,280,96,90,192,180,
415,405,605,545,830,810,640,670,225,265,1324,1368,84,64,318,306,954,918,561,583,
363,341,198,242,210,210,130,137,260,274,696,624,348,312,636,732,318,366,666,678,
100,94,200,188,192,168,316,320,440,472,124,152,448,488,974,988,114,97,572,542,
320,265,612,576,1224,1152,660,704,312,324,936,972,776,800,720,680,460,480,316,310,
474,465,158,155,204,229,156,168,84,72,228,264,72,96,1573,1488,795,737,1473,1433,
1102,1080,40,52,80,104,116,127,232,254,348,381,696,762,1004,1006,48,82,1738,1731,
156,152,312,304,376,346,572,570,392,448,251,235,502,470,1590,1640,795,820,200,225,
556,496,469,484,540,540,270,270,308,321,1220,1294,1316,1340,318,304,176,194,352,388,
580,572,808,836,1036,1100,352,308,1696,1661,446,487,475,465,1020,1080,545,615,500,472,
178,148,322,324,822,796,788,824,870,900,450,420,153,168,306,336,381,347,228,224,
456,448,207,204,532,498,1062,1097,252,234,126,117,744,654,222,246,216,186,1504,1424,
18,18,54,54,36,36,108,108,90,90,72,72,126,126,592,648,588,564,604,632,
1706,1717,1081,1063,456,409,
// count=154
2185,2163,50,30,48,66,856,822,1000,1020,660,672,362,314,302,326,332,320,664,640,
587,609,630,630,14,18,28,36,42,54,56,72,84,108,70,90,923,921,1846,1842,
1044,1074,972,972,72,102,1078,1111,724,818,1060,1084,1112,1130,452,398,1550,1534,474,434,
462,450,438,482,420,411,47,29,522,522,774,780,432,480,76,56,152,112,1477,1381,
365,399,440,440,434,392,400,404,78,78,156,156,204,168,264,300,234,234,438,402,
282,246,108,144,300,300,630,735,390,355,510,545,444,421,824,829,124,128,248,256,
372,384,316,298,608,684,938,864,500,452,220,232,280,220,404,472,616,672,424,400,
212,200,414,426,828,852,840,804,252,276,259,291,1208,1272,604,636,185,158,582,586,
514,502,1028,1004,488,524,540,480,2537,2550,380,400,692,640,1072,1040,69,59,138,118,
135,149,201,239,66,90,204,208,273,267,270,298,45,50,135,150,90,100,225,250,
206,241,252,212,458,453,664,694,276,298,1180,1200,3266,3234,273,276,561,600,258,228,
516,456,531,504,288,324,430,434,750,822,1180,1256,201,222,456,492,180,160,1358,1454,
20,8,596,612,52,72,544,540,440,396,492,468,104,144,736,800,368,400,771,728,
1164,1254,120,112,60,56,180,168,240,224,201,216,402,432,1590,1602,332,372,480,522,
1601,1569,734,666,2136,2184,1710,1782,874,820,307,334,940,970,188,194,376,388,516,488,
942,980,171,136,813,762,471,490,
// count=81
846,844,180,150,432,444,216,222,396,372,413,402,776,858,1826,1811,216,261,676,608,
396,448,600,588,1200,1176,932,962,1242,1170,697,743,725,729,116,104,348,312,232,208,
484,496,464,536,1366,1298,683,649,822,807,1122,1203,866,801,854,903,862,835,124,102,
119,141,238,282,1025,1049,960,944,720,752,620,600,44,72,164,188,140,140,244,208,
116,92,152,164,304,328,104,68,128,116,280,280,268,256,188,236,316,352,200,260,
176,212,12,24,70,73,140,146,280,292,1550,1541,126,126,252,252,378,378,72,52,
338,326,576,588,396,468,864,882,288,294,648,612,846,864,1335,1349,97,66,780,806,
468,403,832,806,416,403,758,796,468,440,168,136,252,204,84,68,740,772,370,386,
401,361,
// count=77
552,540,1104,1080,60,72,512,536,1030,970,256,268,613,656,1358,1384,1868,1920,1828,1650,
844,876,90,78,180,156,547,525,1401,1501,200,210,220,200,180,220,600,630,380,430,
350,360,700,720,438,419,114,70,552,489,1686,1647,562,549,308,240,627,550,176,187,
352,374,812,784,1340,1220,620,590,480,510,2011,2081,480,428,312,344,156,172,80,80,
40,40,160,160,200,200,120,120,240,240,264,264,132,132,396,396,528,528,814,844,
407,422,172,136,579,558,16,12,32,24,112,84,48,36,153,122,1178,1212,1045,1063,
165,149,330,298,1343,1456,686,680,528,524,640,632,320,316,176,154,838,742,140,150,
470,450,280,300,330,300,228,232,276,248,180,216,1379,1309,
// count=145
2264,2224,942,996,1146,1056,859,871,632,591,290,290,145,145,580,580,420,420,210,210,
1316,1348,694,676,1040,920,778,798,389,399,556,576,1094,1052,554,611,444,432,600,660,
1062,1053,450,408,1020,1116,388,384,506,542,1012,1084,1088,1110,572,548,156,144,674,756,
312,288,102,115,276,242,204,230,306,345,378,357,528,492,1320,1356,462,446,255,285,
717,731,1228,1238,626,612,2272,2262,1911,1887,347,380,1428,1458,98,113,314,279,412,392,
196,226,771,783,610,670,505,497,64,46,348,384,412,430,476,476,66,72,132,144,
198,216,1261,1283,1149,1237,306,312,740,712,1545,1594,370,356,216,228,432,456,379,442,
614,603,140,160,280,320,700,680,282,286,294,254,2033,2068,96,132,48,66,228,216,
180,150,372,414,929,907,594,594,1188,1188,977,908,252,256,331,337,300,264,660,660,
330,330,832,785,1116,1156,60,72,120,144,240,288,578,596,661,635,721,757,820,870,
656,658,164,212,210,184,228,232,438,416,246,280,456,464,2104,2114,1786,1876,88,71,
684,787,176,142,502,568,1068,1062,515,510,952,976,56,64,112,128,510,494,201,178,
417,454,402,356,309,316,108,138,828,804,428,448,400,380,828,828,236,162,273,246,
310,330,583,576,260,245,520,490,1434,1386,735,817,429,423,681,683,1641,1703,931,910,
1412,1422,706,711,69,66,138,132,207,198,
// count=140
235,243,470,486,1252,1162,1292,1306,396,428,1024,1012,1420,1440,908,934,72,48,36,24,
2282,2276,1048,1091,444,472,738,693,504,474,34,49,68,98,640,670,538,523,470,425,
1380,1379,1089,1054,664,598,153,143,306,286,1032,990,1227,1284,65,98,814,816,639,658,
443,389,2088,2063,580,504,276,288,684,762,972,966,420,390,1251,1197,417,399,864,954,
558,522,132,132,264,264,620,616,486,471,753,738,210,210,168,204,252,216,420,420,
378,414,462,426,294,222,234,234,546,546,78,78,156,156,312,312,1044,1056,264,264,
112,80,376,344,1054,1068,972,968,774,798,198,170,264,256,132,128,900,912,450,456,
309,354,720,720,1146,1092,960,918,2004,1992,630,606,28,44,56,88,694,681,1754,1780,
511,470,94,92,188,184,282,276,460,430,952,854,1201,1199,1713,1715,294,272,756,780,
378,390,30,30,60,60,90,90,120,120,180,180,150,150,324,298,162,149,3040,3008,
52,64,104,128,672,666,1116,1080,814,888,128,174,686,714,1464,1428,732,714,246,282,
1262,1284,1086,1092,1420,1360,276,264,540,584,264,320,368,376,784,830,272,220,416,454,
320,298,464,532,360,360,180,180,816,846,140,98,1580,1622,140,112,332,384,752,720,
756,848,1354,1312,358,365,716,730,208,272,756,784,206,196,412,392,2922,2814,348,394,
// count=139
1772,1768,440,412,220,206,354,402,432,396,460,428,230,214,508,538,762,807,254,269,
645,591,462,490,204,216,408,432,900,876,822,882,1489,1409,2398,2402,1026,972,678,689,
878,943,342,331,192,248,234,237,394,425,214,209,180,216,428,418,462,411,666,638,
654,706,660,672,180,174,264,262,528,524,1335,1320,581,606,2552,2568,178,212,189,168,
378,336,764,740,656,674,1412,1464,1020,936,1180,1160,260,260,820,880,520,520,416,396,
1444,1470,706,764,50,60,200,240,100,120,150,180,540,591,528,506,276,338,264,253,
148,130,592,520,636,576,224,256,276,312,258,222,534,534,924,896,544,528,604,616,
60,88,784,880,552,516,49,44,98,88,147,132,196,176,648,736,324,368,1089,1104,
976,972,488,486,1364,1402,696,658,1215,1229,615,657,516,536,264,244,1512,1554,396,383,
792,766,320,338,765,813,1353,1269,220,240,270,260,320,280,440,480,1400,1386,1009,999,
1493,1563,48,36,96,72,606,702,1056,1092,724,668,1214,1205,1266,1285,88,99,176,198,
352,396,979,1036,773,752,584,596,402,365,60,68,180,204,300,340,120,136,306,270,
1241,1231,20,8,816,816,696,768,836,824,796,808,990,1002,1122,1170,1032,981,283,270,
540,560,1188,1174,1632,1698,690,770,333,366,1149,1152,416,364,208,182,322,346,
// count=144
243,220,342,306,288,276,234,246,180,216,54,30,860,840,120,160,823,875,639,627,
716,700,300,312,900,936,120,144,1332,1296,126,120,252,240,964,984,322,277,1104,1077,
880,861,1484,1500,396,342,444,414,420,378,468,450,540,558,516,522,24,36,492,486,
48,72,72,108,2010,1994,825,834,1976,2076,460,506,672,666,498,532,996,1064,60,80,
120,160,528,576,132,144,264,288,424,396,75,87,499,483,349,309,150,174,1314,1344,
905,926,617,536,616,632,630,600,602,664,997,1053,330,330,224,224,112,112,396,456,
1074,1066,1194,1223,120,157,330,366,996,984,1272,1236,756,816,172,140,301,300,602,600,
2050,2130,405,369,539,544,210,225,420,450,755,788,1510,1576,1060,1000,280,280,840,840,
868,872,579,620,1380,1392,60,36,324,312,666,738,162,156,1196,1148,1236,1167,468,448,
1018,1005,714,775,550,557,82,109,1082,1112,1065,1055,708,744,60,36,828,816,272,294,
956,972,552,474,412,384,140,90,303,289,671,703,125,131,250,262,375,393,504,570,
540,552,1092,1144,546,546,546,598,215,239,784,861,704,663,406,443,276,228,324,288,
420,408,48,60,372,348,96,120,390,408,40,34,80,68,120,102,337,394,1968,1935,
550,525,280,330,448,464,276,245,1180,1160,714,756,840,840,2055,2077,732,742,356,308,
788,776,248,263,744,789,496,526,
// count=147
127,106,751,724,497,512,370,406,243,300,660,680,740,810,670,656,936,976,1140,1112,
468,488,1344,1340,1055,1018,913,962,902,880,877,850,316,257,1193,1107,290,345,78,63,
446,471,2206,2212,846,822,104,98,208,196,312,294,416,392,60,72,270,270,150,126,
210,198,120,144,330,342,1264,1272,192,168,1028,1088,1095,1050,587,602,220,230,448,434,
228,204,212,256,362,389,1152,1130,424,438,879,927,708,768,426,452,294,282,494,512,
200,230,534,510,1364,1347,1028,1048,441,410,1012,1076,1048,1086,976,1066,668,656,208,160,
300,296,46,47,92,94,138,141,230,235,460,470,184,188,118,103,236,206,510,465,
606,636,358,343,956,960,541,500,792,828,556,528,279,246,176,176,249,282,352,352,
455,422,900,860,456,468,632,620,1212,1155,684,705,52,85,310,330,465,450,160,130,
780,850,74,68,148,136,37,34,185,170,111,102,1933,1907,3075,3071,108,136,248,234,
176,210,88,105,92,80,184,160,288,270,318,355,100,107,200,214,300,321,173,162,
264,296,346,324,152,164,260,248,76,82,108,84,228,246,120,162,676,632,808,800,
236,240,472,480,987,965,1098,1114,111,149,652,634,284,332,496,511,992,1022,1152,1122,
53,27,528,464,462,476,924,952,136,140,272,280,1658,1716,710,790,895,875,138,198,
1263,1233,666,666,69,99,406,400,400,424,412,376,1626,1690,
// count=141
224,192,1804,1864,256,256,251,272,246,288,502,544,507,528,261,240,266,224,1294,1366,
128,116,256,232,1140,1016,704,656,268,296,338,326,156,192,52,64,208,256,390,390,
104,128,234,198,286,262,48,64,150,131,300,262,198,195,246,259,294,323,102,67,
96,128,320,346,1762,1838,881,919,772,800,104,96,208,192,312,288,1132,1248,240,214,
862,913,622,699,84,72,168,144,189,236,308,275,497,511,132,144,420,420,288,276,
156,132,1024,1062,758,676,798,768,294,270,664,694,1504,1472,1024,1088,160,128,918,906,
507,468,1161,1156,302,291,450,491,922,946,156,176,356,396,108,56,420,420,2232,2192,
105,81,636,688,846,850,1101,1095,985,1019,116,76,872,812,436,406,548,530,460,472,
636,588,715,697,105,87,528,540,210,174,476,408,366,402,265,235,565,575,1130,1150,
1412,1416,195,222,324,336,648,672,108,128,245,286,28,21,56,42,84,63,456,458,
540,510,84,52,141,138,1648,1674,1221,1226,680,642,960,924,168,120,566,624,68,74,
34,37,102,111,136,148,1100,1100,144,183,196,191,392,382,588,573,132,132,276,240,
264,264,120,156,288,302,2062,2170,918,960,488,534,736,718,166,118,573,542,244,216,
528,512,224,176,264,256,304,336,284,296,810,780,1896,2004,772,810,196,224,332,328,
528,552,
// count=77
546,558,300,240,1200,1188,195,174,485,478,778,723,192,233,642,593,228,250,456,500,
264,252,492,502,500,536,156,156,234,234,78,78,546,546,312,312,380,400,760,800,
258,270,180,144,438,414,516,540,475,450,950,900,200,151,665,609,465,458,246,269,
360,324,286,320,260,240,612,528,288,306,990,1080,452,470,428,408,255,247,38,51,
293,298,179,145,217,196,114,153,76,102,407,451,156,158,312,316,468,474,63,60,
126,120,189,180,89,134,328,274,332,336,285,287,570,574,692,708,342,357,1274,1229,
360,360,690,696,708,735,726,774,348,312,540,584,756,744,816,752,696,736,1156,1198,
452,404,1152,1194,1488,1584,1344,1344,48,80,1266,1230,1188,1188,
// count=80
862,927,586,582,744,708,132,144,264,288,2484,2536,88,74,532,544,424,390,1334,1388,
1123,1075,168,160,336,320,222,252,390,412,726,732,54,92,1264,1345,137,154,274,308,
1382,1363,1342,1355,204,192,288,354,2088,1958,557,631,412,426,1236,1278,92,92,368,368,
810,750,666,678,738,714,763,765,1526,1530,771,830,1540,1496,272,320,544,640,1488,1472,
271,256,542,512,42,50,78,74,60,62,84,100,24,38,18,12,108,138,36,24,
54,36,132,176,102,112,120,124,96,86,66,88,138,136,48,76,876,920,1009,1002,
156,151,140,140,280,280,373,399,1310,1395,1162,1171,90,82,180,164,270,246,688,700,
603,675,186,180,744,720,372,360,681,718,200,216,1492,1440,400,432,86,68,172,136,
// count=80
144,120,72,60,216,180,156,160,124,90,312,320,1543,1518,492,512,590,620,1201,1281,
307,255,525,510,675,690,375,330,150,180,672,694,710,669,129,138,43,46,86,92,
258,276,172,184,1300,1370,416,433,508,554,324,312,232,191,92,121,864,894,312,366,
912,828,864,924,1223,1279,1315,1434,120,120,240,240,360,360,955,935,420,456,547,556,
1650,1672,1710,1628,208,212,416,424,188,194,376,388,30,30,150,150,60,60,90,90,
90,54,240,276,120,120,90,126,150,114,180,180,76,78,228,234,152,156,380,390,
304,312,1462,1440,680,690,340,345,51,36,102,72,576,531,750,763,576,582,2656,2470,
1228,1272,587,604,662,736,537,516,562,560,25,44,244,264,556,612,354,327,257,295,
// count=86
214,238,388,376,562,514,174,138,348,276,1908,1914,636,638,55,49,110,98,165,147,
220,196,474,512,493,449,1164,1096,1008,948,432,462,468,468,145,161,290,322,1035,1095,
588,580,80,80,240,240,160,160,48,60,448,410,400,350,96,120,946,968,617,669,
507,494,1062,950,1194,1206,1134,1092,546,558,588,534,176,156,88,78,244,264,156,186,
332,342,492,449,1179,1128,2252,2306,870,894,470,528,1224,1194,1560,1570,1288,1241,1558,1559,
724,752,435,459,240,204,675,663,195,255,222,220,666,660,444,440,520,550,340,390,
180,160,1481,1459,1077,1079,228,258,148,136,376,394,308,380,296,272,524,530,1604,1595,
12,16,48,64,24,32,36,48,84,112,60,80,72,96,169,186,503,438,338,372,
1540,1530,153,132,693,720,423,426,270,294,306,264,
// count=76
204,198,660,690,316,298,1276,1312,1012,1024,322,323,698,646,644,646,472,460,118,115,
236,230,354,345,624,612,858,906,160,182,530,525,370,343,3011,3084,888,864,1020,1032,
132,168,108,96,54,48,162,144,1568,1572,964,932,308,280,348,372,792,814,396,407,
816,786,420,379,1014,1032,834,882,180,150,660,628,348,384,1218,1134,318,366,1030,1040,
1137,1125,1190,1188,700,658,1230,1279,530,621,312,276,528,546,348,384,1416,1464,772,846,
540,560,2432,2380,2609,2480,24,24,48,48,96,96,216,216,72,72,144,144,120,120,
152,114,1368,1311,76,57,672,688,812,768,2318,2397,78,43,132,136,96,80,36,56,
408,496,168,192,264,272,72,112,2015,2169,122,88,
// count=75
658,686,730,674,648,630,576,594,36,18,612,612,540,576,1214,1172,447,468,313,244,
438,396,219,198,890,891,1204,1204,167,187,460,490,332,332,204,174,128,158,778,804,
596,568,1720,1748,860,874,126,123,378,369,252,246,621,585,1192,1175,820,881,186,147,
612,600,537,527,1017,923,1048,1056,524,528,90,102,180,204,1150,1191,740,736,445,489,
1286,1315,717,698,729,750,723,724,188,166,220,240,408,406,440,480,321,318,120,120,
240,240,360,360,327,321,844,834,1060,1000,1312,1272,1655,1739,264,251,792,753,554,607,
382,387,764,774,104,108,52,54,156,162,208,216,1855,1940,1715,1700,35,60,116,98,
444,492,560,590,288,304,240,288,336,320,
// count=125
765,800,465,430,1342,1300,965,908,699,703,117,120,351,360,234,240,600,648,1500,1574,
738,702,1242,1290,596,564,298,282,108,68,348,368,1876,1906,520,496,324,360,260,248,
155,181,316,322,322,282,161,141,471,503,730,736,2692,2676,133,127,399,381,340,376,
1556,1596,138,126,276,252,378,426,626,615,342,369,1116,1083,350,310,824,858,25,41,
2730,2766,50,82,133,85,899,889,1032,974,471,574,388,428,438,393,275,308,472,501,
504,522,544,494,524,508,361,360,1867,1907,288,282,340,358,236,206,52,76,392,434,
2384,2300,746,724,1056,1080,228,264,420,420,648,684,840,829,771,738,1188,1232,868,872,
1442,1510,952,874,742,760,606,636,792,756,252,216,504,432,66,66,264,264,198,198,
132,132,846,828,378,324,120,120,360,360,240,240,829,909,659,617,1784,1820,168,148,
336,296,2040,2097,16,11,32,22,64,44,48,33,440,433,424,467,2316,2261,76,112,
959,918,262,292,1176,1138,1848,1964,84,52,276,240,138,120,660,640,330,320,740,720,
200,240,351,372,1035,990,300,296,600,592,1479,1482,242,212,1454,1474,414,362,766,798,
176,218,1452,1460,158,183,489,465,978,930,
// count=159
180,184,540,552,360,368,324,276,504,522,180,164,1824,1876,1332,1292,945,1001,504,536,
516,464,1020,1000,1008,1072,894,894,766,689,947,909,200,200,100,100,500,500,300,300,
712,810,698,671,1941,1884,180,200,490,480,2233,2240,562,579,234,204,810,858,449,489,
467,411,898,978,1032,996,1212,1248,90,126,612,632,1104,1196,966,978,564,552,726,678,
240,300,2406,2526,376,344,116,152,492,496,48,47,96,94,192,188,144,141,1606,1587,
363,386,372,384,216,252,156,132,312,264,528,516,402,429,662,600,1656,1692,828,846,
715,719,180,180,60,32,240,212,300,328,120,148,300,244,360,360,1241,1262,338,374,
903,888,138,159,638,608,258,237,970,1027,254,300,1025,1038,1968,1934,438,444,888,864,
847,873,437,399,966,966,886,826,926,896,40,70,193,194,386,388,300,308,420,374,
480,550,1041,1013,181,134,196,228,1438,1449,1242,1221,60,50,240,200,120,100,530,590,
948,948,892,832,474,474,78,60,893,919,421,385,732,648,348,360,1080,1008,266,267,
89,81,178,162,204,180,492,504,288,324,242,223,1138,1226,726,669,650,650,1420,1410,
50,54,100,108,200,216,150,162,1656,1692,288,246,204,192,342,354,276,324,408,384,
138,162,333,344,300,250,840,830,854,836,496,466,468,468,440,470,1135,1091,155,187,
1540,1600,360,324,480,480,120,84,240,240,720,720,380,380,190,190,570,570,377,321,
461,443,545,565,100,86,200,172,656,636,164,159,492,477,462,466,462,526,
// count=84
870,832,156,168,312,336,220,184,468,504,2736,2748,130,121,390,363,260,242,12,12,
48,48,72,72,36,36,60,60,24,24,144,144,96,96,456,400,114,100,228,200,
60,72,240,288,120,144,279,318,148,156,461,462,313,306,165,150,296,312,330,300,
131,162,630,574,615,629,2124,2088,1282,1336,828,824,704,752,528,564,352,376,176,188,
300,260,657,666,636,600,588,616,612,608,136,134,408,402,272,268,1480,1444,264,280,
609,555,316,298,314,332,632,596,858,834,286,278,572,556,926,924,463,462,614,691,
292,300,242,275,299,302,297,258,300,324,600,648,298,280,301,346,180,180,681,637,
2121,2113,179,138,104,95,208,190,312,285,368,337,1465,1461,86,74,43,37,129,111,
1896,1928,748,748,696,720,60,36,
// count=78
195,195,390,390,115,95,80,100,275,295,624,600,312,300,236,272,772,856,517,505,
306,294,378,402,234,186,72,108,394,369,384,340,510,522,346,358,454,412,148,128,
159,150,318,300,1038,1062,36,24,330,339,258,291,294,315,222,267,366,363,72,48,
57,53,114,106,228,212,171,159,162,180,324,360,1428,1368,755,726,848,846,1080,1116,
108,72,224,248,1708,1696,1516,1528,232,214,218,263,1205,1252,1065,1040,396,428,48,60,
264,240,96,120,216,180,360,360,312,300,456,480,144,180,220,220,110,110,330,330,
48,36,96,72,969,963,599,664,174,167,240,272,480,544,527,548,430,421,474,505,
990,930,630,630,540,660,1246,1358,632,646,138,138,276,276,414,414,
// count=129
1371,1478,424,373,351,347,1021,884,193,186,1086,1131,730,720,232,226,928,904,1206,1184,
242,264,484,528,460,490,544,514,192,208,540,480,960,1004,324,294,642,649,460,500,
400,350,1100,1152,36,48,18,24,54,72,108,144,814,764,596,664,312,312,624,624,
470,435,76,48,272,256,664,672,348,304,196,208,392,416,468,464,1240,1298,888,1000,
1248,1244,1084,1124,858,858,1656,1698,357,375,1071,1125,744,732,540,540,653,627,865,898,
171,180,342,360,1032,990,912,942,1436,1516,430,444,1461,1453,452,440,456,488,1176,1151,
540,564,636,587,58,71,116,142,564,576,174,156,348,312,370,356,350,364,700,728,
1020,1006,1059,1015,320,290,570,600,362,350,288,348,681,627,627,637,119,102,493,546,
374,444,612,648,238,204,558,576,186,192,372,384,76,94,152,188,396,392,408,418,
498,442,220,248,300,264,520,512,1350,1386,431,464,631,592,210,234,795,789,654,656,
622,664,311,332,546,546,243,203,144,132,1140,1140,951,1012,264,228,970,946,706,718,
1016,1046,92,73,169,194,445,413,261,267,338,388,708,720,450,450,90,90,180,180,
270,270,529,547,408,384,1520,1472,792,780,588,672,108,96,216,192,792,792,
// count=153
900,996,228,228,456,456,684,684,840,912,804,800,192,172,420,456,84,84,504,504,
168,168,336,336,252,252,305,301,915,903,300,328,246,286,886,913,1434,1429,408,355,
1579,1482,154,149,392,322,308,298,462,447,1530,1404,1428,1464,1344,1352,84,112,396,384,
324,276,792,768,76,80,152,160,380,400,228,240,1400,1424,786,798,888,880,261,288,
408,414,147,126,555,540,1330,1400,910,840,828,840,852,824,804,856,183,223,1813,1727,
1604,1748,648,720,696,666,324,360,720,780,937,914,1287,1302,370,340,483,502,185,170,
1600,1630,602,566,378,378,756,756,165,195,536,568,92,104,368,416,184,208,276,312,
474,522,144,162,576,648,288,324,166,118,83,59,839,827,673,709,1724,1668,178,121,
756,740,1512,1480,1624,1624,324,328,402,386,246,270,78,58,156,116,713,736,276,280,
828,840,30,30,60,60,150,150,180,180,90,90,120,120,210,210,774,798,108,78,
36,26,72,52,291,276,1356,1376,354,330,381,352,1078,1101,1081,1102,713,688,184,207,
632,612,1132,1208,316,306,136,144,68,72,788,800,100,80,184,216,284,296,384,376,
592,592,492,480,452,456,510,535,384,360,234,249,1620,1545,468,498,330,396,2052,2067,
574,557,100,100,200,200,300,300,878,906,439,453,90,60,408,394,816,788,1314,1350,
916,960,913,909,996,1032,399,435,597,597,198,162,798,870,928,930,464,465,1062,1026,
810,810,252,216,306,378,
// count=151
384,372,396,432,1316,1320,462,486,780,785,228,184,242,247,484,494,470,431,256,310,
548,536,502,556,571,526,396,372,792,744,1311,1296,765,761,55,75,132,144,66,72,
33,36,99,108,231,252,165,180,816,720,108,116,216,232,276,272,552,544,847,821,
889,913,252,210,1044,984,288,354,912,930,1224,1200,312,270,408,384,554,612,700,728,
812,808,54,42,108,84,429,451,1211,1170,300,296,1020,952,1454,1461,3287,3334,64,38,
1028,1068,1122,1122,164,190,720,744,1206,1188,539,512,1105,1120,292,270,1916,1931,620,640,
492,456,64,92,1524,1490,416,386,484,538,1260,1200,1200,1170,66,66,132,132,198,198,
1740,1740,435,435,906,947,306,271,654,702,936,948,238,252,309,306,71,54,167,198,
476,504,380,360,66,100,800,780,555,606,1089,984,942,954,698,738,1430,1386,244,216,
826,807,690,717,140,105,140,147,280,273,280,294,140,126,560,546,420,420,140,168,
140,189,312,312,936,936,624,624,522,534,156,204,444,432,366,330,1467,1435,442,372,
252,216,504,432,367,342,446,444,79,102,660,616,792,792,654,662,348,290,552,538,
102,124,450,414,180,170,540,510,924,982,360,340,596,580,724,764,267,294,645,630,
912,924,1900,1906,1914,1936,1903,1947,1560,1620,714,654,876,864,162,210,1065,1035,206,238,
544,574,468,438,744,767,249,280,808,790,559,510,324,340,240,228,84,112,396,344,
1152,1098,
// count=84
272,248,360,360,448,472,88,112,176,224,1492,1520,50,51,100,102,150,153,300,306,
200,204,552,547,224,212,112,106,336,318,644,704,632,584,316,292,77,55,300,312,
300,280,600,608,300,360,300,248,300,296,300,328,300,264,1668,1728,1248,1208,80,110,
1390,1480,160,220,1051,1072,1039,976,1042,1000,840,864,420,432,350,400,106,124,53,62,
134,108,187,170,240,232,159,186,293,294,452,480,1566,1544,1520,1536,1648,1674,1732,1587,
108,120,376,352,324,360,216,240,268,232,1615,1674,1816,1800,67,42,372,434,170,186,
340,372,959,821,700,658,284,320,330,326,912,940,252,288,788,788,240,240,480,480,
138,134,69,67,207,201,72,58,676,676,104,78,652,654,548,576,860,810,545,555,
1090,1110,388,346,711,732,1092,1056,
// count=76
810,786,681,715,939,857,484,480,496,528,472,432,258,249,144,162,540,492,64,62,
128,124,320,310,192,186,1938,1836,375,412,782,748,816,816,884,952,1105,1137,151,195,
954,942,243,272,486,544,512,504,324,376,272,330,1114,1180,848,830,1239,1149,316,344,
322,308,651,725,747,769,48,66,372,384,324,318,420,450,276,252,562,580,1686,1740,
276,298,552,596,1045,1021,583,487,231,267,16,24,32,48,48,72,64,96,96,144,
1244,1200,1480,1446,784,764,540,570,392,382,244,194,148,188,186,158,594,578,222,262,
408,420,162,156,324,312,1098,1164,145,132,290,264,318,316,693,669,231,223,462,446,
1989,1984,360,366,444,492,276,240,1649,1653,1804,1943,
// count=154
392,353,460,436,340,348,680,696,754,740,377,370,80,98,978,954,734,716,1782,1734,
122,140,720,720,420,440,480,400,120,160,684,664,210,210,420,420,108,108,324,324,
1080,1044,1114,1054,978,1014,34,10,85,56,351,360,617,664,702,720,436,416,208,199,
416,398,500,520,960,920,370,353,923,938,183,232,916,916,108,104,216,208,324,312,
432,416,286,284,1758,1806,1172,1204,236,218,144,90,328,346,472,436,892,910,92,128,
1106,1168,980,980,825,915,1096,1198,589,583,1347,1371,510,450,1560,1620,134,128,402,384,
642,708,268,256,522,546,513,551,468,432,268,284,736,716,536,568,169,206,1042,1010,
4130,4160,60,80,400,406,728,654,164,124,236,282,616,612,846,906,462,445,1266,1222,
1071,1104,408,480,840,816,420,408,1128,1110,726,792,890,900,918,884,178,207,949,973,
1898,1946,741,744,636,690,620,580,1468,1488,1095,1126,290,260,914,856,982,1016,684,684,
372,352,312,332,744,704,747,766,450,450,810,750,180,150,360,300,448,476,112,119,
224,238,336,357,300,264,428,388,440,482,624,624,900,930,348,318,927,904,1092,1090,
1447,1501,1811,1683,116,136,1116,1128,890,890,390,348,1556,1497,1508,1395,816,820,1941,1896,
640,608,1480,1544,836,926,512,482,1004,952,546,558,273,279,980,960,444,444,156,192,
600,636,288,252,188,184,376,368,1287,1284,971,1028,158,128,390,387,646,603,256,216,
134,171,836,816,330,342,660,684,
// count=146
2640,2678,119,87,368,386,817,908,1500,1480,288,306,108,144,180,162,396,450,19,22,
38,44,76,88,95,110,57,66,152,176,133,154,114,132,1982,1881,924,1022,896,882,
68,56,136,112,1089,1122,348,342,393,438,303,246,744,734,1106,1139,362,405,900,924,
300,308,1610,1579,1400,1456,140,82,70,41,176,228,1204,1192,88,114,44,50,88,100,
132,150,955,901,378,378,396,432,738,702,756,756,718,720,359,360,760,736,380,368,
216,192,644,644,334,361,310,283,368,324,184,162,1730,1710,252,222,508,508,256,286,
252,224,504,448,848,828,912,901,868,835,312,336,156,168,696,648,1332,1328,132,144,
264,288,432,480,345,335,520,450,1000,1000,500,500,308,299,1232,1196,616,598,345,405,
790,810,445,405,1081,1082,235,194,104,110,208,220,1857,1824,1268,1254,400,450,354,352,
284,296,568,592,34,49,1099,1146,1299,1314,200,168,1560,1576,36,18,672,744,816,816,
780,798,888,900,874,876,919,871,2711,2732,273,308,384,372,440,460,356,328,412,416,
712,656,524,592,28,44,56,88,81,108,654,642,162,216,234,234,468,468,40,48,
20,24,60,72,120,144,80,96,100,120,140,168,660,664,456,380,322,310,318,342,
374,352,2000,2048,624,643,1248,1286,366,393,122,131,244,262,616,605,816,862,636,582,
744,750,708,694,36,56,1112,1150,291,257,1148,1166,
// count=147
101,80,862,826,531,495,851,875,774,795,714,791,732,696,244,232,488,464,292,316,
564,558,984,1040,873,839,865,835,16,6,1450,1452,620,634,310,317,300,264,560,560,
260,296,584,577,123,104,246,208,90,90,180,180,132,108,444,488,576,596,312,380,
597,534,2507,2604,1646,1611,700,712,454,525,258,237,668,752,455,470,580,640,330,300,
785,770,125,170,930,949,271,254,526,556,263,278,279,230,255,302,32,48,1412,1480,
1220,1192,1140,1096,93,108,62,72,31,36,155,180,124,144,1190,1145,1190,1175,238,308,
34,44,68,88,136,176,126,126,306,270,252,252,180,144,198,234,378,378,72,108,
1032,906,876,858,304,322,608,644,1092,1176,688,662,965,999,444,420,360,348,929,956,
208,208,104,104,312,312,1078,1144,814,792,132,176,540,570,726,792,354,348,708,696,
460,488,1192,1216,596,608,578,576,408,380,690,710,531,528,153,147,382,440,306,294,
388,408,476,504,588,552,412,368,824,736,866,844,454,476,750,696,250,232,552,538,
712,704,356,352,1143,1158,366,332,584,602,834,800,288,327,924,924,858,810,142,104,
140,160,540,492,960,972,280,320,130,148,65,74,195,222,385,346,864,833,300,300,
600,600,544,607,338,350,206,257,470,443,2236,2263,63,84,1538,1448,743,685,175,161,
350,322,1146,1160,48,34,96,68,450,495,73,107,1261,1236,
// count=146
138,114,310,295,324,366,162,183,486,549,148,112,536,484,268,242,264,270,288,330,
248,230,272,290,280,310,240,210,224,170,256,250,512,500,296,350,8,20,905,931,
571,602,962,996,275,258,550,516,252,252,504,504,1472,1424,276,258,552,516,96,102,
144,198,192,204,144,108,240,210,336,312,288,306,644,568,284,302,1336,1271,261,251,
243,261,225,271,279,241,111,137,1797,1815,1212,1176,174,198,1734,1770,264,298,376,388,
188,194,1252,1208,308,368,700,728,532,504,616,616,84,112,206,218,824,872,412,436,
252,264,756,792,1124,1054,1106,1116,1684,1668,426,462,776,816,892,906,568,504,200,204,
600,612,400,408,1470,1465,864,876,792,732,741,702,993,1116,612,593,1064,1016,604,616,
1182,1206,180,150,126,126,252,252,378,378,468,420,162,210,1063,1022,674,653,747,739,
1494,1478,328,336,1312,1344,340,360,1515,1408,480,480,240,240,120,148,360,388,360,332,
120,92,1459,1433,464,458,928,916,292,312,584,624,603,660,1103,1060,752,732,376,366,
116,96,526,531,820,870,874,819,410,435,304,322,1440,1426,333,335,437,452,528,513,
1330,1349,1423,1477,93,128,942,957,654,618,854,892,1286,1388,422,396,936,916,468,458,
636,642,546,492,1182,1134,44,32,88,64,36,24,1236,1264,108,72,732,724,688,741,
370,355,1309,1377,180,174,360,348,908,855,787,744,
// count=122
221,249,1144,1168,120,144,660,624,1854,1814,618,653,612,600,587,561,618,666,684,678,
228,232,839,775,202,208,404,416,1401,1382,588,588,276,240,300,312,324,384,288,276,
312,348,280,280,386,404,614,588,398,431,452,512,344,350,290,269,580,538,54,81,
2082,2010,742,754,1561,1645,122,94,61,47,1655,1724,726,772,192,163,1110,1098,229,202,
228,216,1444,1510,1138,1130,420,440,1260,1320,128,122,256,244,765,722,190,210,729,787,
1518,1582,292,289,2200,2176,432,398,1698,1712,1590,1650,172,136,444,432,272,296,544,592,
1098,1134,128,105,1122,1122,366,390,378,366,390,342,952,944,476,472,495,510,697,615,
115,161,291,227,521,549,406,388,48,48,96,96,144,144,192,192,528,528,980,968,
1320,1380,644,584,160,200,964,984,360,423,282,292,602,630,812,777,333,322,666,644,
844,934,1110,1180,90,60,515,526,468,474,1016,1066,388,356,728,729,432,438,468,528,
120,100,156,176,396,376,276,276,192,252,1040,1038,1700,1720,1020,1080,802,812,240,256,
480,512,402,435,1245,1376,829,772,104,151,124,112,1608,1656,972,954,900,948,450,474,
88,62,172,192,
// count=82
1120,1064,952,944,168,120,134,170,1336,1312,802,826,265,270,795,810,530,540,1757,1774,
471,450,504,504,252,252,220,220,780,850,440,440,271,323,3225,3193,1588,1528,342,396,
410,432,546,504,478,468,164,176,356,344,220,160,192,168,664,621,862,840,198,219,
396,438,784,762,476,490,949,914,1017,979,984,988,156,120,348,360,504,480,192,240,
288,296,576,592,336,295,468,432,132,137,264,274,588,664,456,527,444,500,618,615,
313,339,704,715,1730,1696,192,204,384,408,196,182,392,364,168,156,336,312,154,166,
576,540,308,332,574,529,894,949,373,418,1335,1270,481,426,640,630,1035,955,280,266,
222,243,502,509,782,775,252,228,645,660,217,201,771,797,434,402,337,395,888,900,
1123,1166,1602,1590,
// count=79
919,907,675,755,152,144,228,216,76,72,304,288,1256,1237,593,576,840,924,420,462,
94,106,282,318,188,212,1596,1596,2324,2268,1644,1625,684,702,464,410,636,642,1266,1353,
556,559,1308,1360,1439,1409,1296,1472,1124,1172,720,720,492,456,228,264,240,240,252,216,
296,307,412,377,708,684,180,237,175,190,897,851,10,10,20,20,30,30,70,70,
50,50,40,40,80,80,90,90,60,60,726,700,363,350,2755,2823,264,250,528,500,
954,982,444,480,90,78,180,156,624,636,534,558,264,324,1120,1100,620,640,530,526,
1170,1092,1338,1284,168,192,388,454,993,930,176,170,352,340,894,890,447,445,455,450,
612,608,140,120,332,368,472,488,36,24,426,438,462,462,318,366,72,48,
// count=144
550,618,275,309,38,43,76,86,190,215,114,129,152,172,435,408,502,428,446,398,
336,378,1175,1188,902,907,854,892,133,107,1501,1546,276,276,500,471,1104,1107,972,1005,
368,369,132,102,264,204,236,267,1605,1650,720,628,116,88,576,578,344,402,703,667,
499,537,900,948,648,642,576,612,1140,1212,688,654,344,327,816,832,408,416,592,622,
372,324,168,186,540,510,893,901,268,288,456,468,912,936,1416,1473,105,92,394,431,
210,184,289,339,391,395,1173,1185,564,536,330,350,306,348,378,354,354,352,684,702,
132,120,264,240,1320,1356,660,678,3035,3078,132,143,264,286,972,972,210,210,420,420,
140,140,210,210,70,70,1092,1036,168,196,1408,1362,333,355,576,544,732,714,88,110,
644,604,908,934,836,792,1151,1251,995,979,1092,1182,1044,1074,2004,2070,668,690,247,287,
411,387,908,928,2023,2038,41,20,234,234,468,468,222,276,551,501,848,852,297,351,
280,270,284,332,424,396,212,198,1217,1194,484,440,36,36,180,180,108,108,72,72,
108,144,144,144,72,108,216,252,144,180,484,440,896,868,516,498,258,249,130,130,
231,195,378,414,840,804,1084,1184,544,511,372,392,644,614,744,784,632,654,696,636,
198,198,396,396,412,392,436,456,872,912,346,293,1046,1107,825,830,408,406,204,203,
612,609,352,378,2259,2214,147,184,
// count=146
957,965,1636,1720,1745,1646,1541,1586,452,446,618,629,1314,1279,182,168,91,84,582,618,
194,206,388,412,140,152,280,304,514,466,1109,1089,411,351,137,117,210,210,298,291,
596,582,186,167,120,120,355,390,240,240,235,270,115,150,365,330,244,260,264,232,
508,492,2057,2110,3168,3102,2016,2000,2000,2052,156,156,312,312,468,468,341,325,1000,994,
156,186,492,545,918,930,535,556,236,216,952,966,852,906,1804,1872,934,952,694,740,
416,432,248,208,1080,1072,1085,1089,398,380,948,928,258,274,516,548,351,333,888,784,
348,372,1876,1920,360,348,36,18,252,294,324,330,396,366,288,312,576,624,537,459,
672,652,1588,1607,120,93,968,992,484,496,220,256,830,830,654,676,568,632,826,764,
1204,1204,1256,1246,498,534,68,80,136,160,480,456,204,240,272,320,312,276,423,441,
735,717,380,400,110,120,330,360,220,240,568,556,611,677,422,470,970,958,548,488,
190,192,380,384,588,584,1176,1168,264,320,302,333,117,135,351,405,234,270,540,570,
340,330,100,120,580,540,175,146,350,292,2825,2823,641,639,319,365,327,324,981,972,
1278,1244,666,719,630,588,180,201,360,402,450,387,840,782,708,744,36,24,672,720,
72,48,56,44,180,216,118,130,236,260,292,304,174,174,62,86,124,172,112,88,
568,526,956,1042,532,524,496,522,460,520,1800,1812,
// count=148
933,842,548,525,208,197,832,788,1234,1192,1134,1162,1738,1771,362,344,1200,1188,756,776,
228,234,456,468,18,24,36,48,72,96,54,72,108,144,90,120,536,496,396,432,
634,618,400,380,855,915,468,474,1574,1559,228,254,835,798,1291,1306,524,500,516,488,
593,610,856,893,532,504,84,96,168,192,1188,1176,1216,1168,822,906,512,470,270,258,
540,516,261,259,522,518,1155,1127,1061,974,140,110,460,460,320,350,600,570,934,929,
910,809,768,760,864,830,936,962,840,786,24,44,1212,1248,404,416,122,132,244,264,
488,528,1632,1716,264,252,1098,1134,540,540,558,594,1314,1326,1300,1243,760,730,152,146,
104,106,208,212,416,424,312,318,780,720,936,920,156,200,250,228,125,114,420,420,
132,132,264,264,258,210,138,186,220,210,440,420,660,630,1386,1394,1118,1145,312,360,
156,180,888,950,324,336,1016,1076,285,265,36,24,324,348,396,396,360,372,72,48,
450,399,1396,1439,209,198,117,144,326,342,418,396,535,540,446,444,944,976,472,488,
212,248,218,212,430,460,224,176,636,744,149,187,161,133,310,320,471,453,608,694,
100,92,200,184,300,276,615,590,558,582,480,484,78,98,402,386,156,196,726,751,
868,848,772,812,238,238,476,476,195,222,2748,2688,80,50,672,660,528,552,816,768,
288,216,444,456,790,764,346,308,526,579,850,766,1469,1537,425,383,
// count=159
1806,1806,508,540,688,660,344,330,256,238,300,250,294,258,390,390,978,906,486,522,
684,648,1959,1946,340,384,332,327,870,830,393,423,1216,1186,356,376,778,784,1172,1226,
222,206,444,412,1368,1368,1724,1784,1003,940,846,894,244,214,946,969,612,600,126,102,
360,396,486,498,972,996,1140,1224,536,536,300,316,600,632,656,722,868,856,992,984,
496,492,404,352,660,660,440,440,220,220,633,594,412,448,81,73,405,365,162,146,
243,219,722,727,1569,1570,568,562,300,334,268,228,836,790,992,998,772,808,449,468,
628,558,972,952,144,112,192,176,48,64,96,128,240,240,336,368,288,304,240,320,
817,837,470,426,864,896,1999,2110,547,532,410,382,1065,1101,242,210,578,590,1361,1322,
122,123,244,246,488,492,366,369,350,326,301,323,560,512,376,384,150,155,228,240,
270,258,186,222,354,294,312,276,42,18,757,839,1088,1086,1844,1816,528,472,935,990,
1123,1236,570,600,698,664,506,568,602,616,666,648,32,16,64,32,475,512,76,86,
304,344,228,258,1764,1750,812,857,300,300,150,150,108,96,540,552,324,360,323,331,
646,662,282,246,1110,1110,84,88,168,176,252,264,336,352,844,856,1006,967,782,764,
398,422,391,382,866,939,692,648,346,324,140,170,760,750,552,524,1299,1309,226,224,
452,448,904,896,228,204,704,682,248,274,662,690,2184,2238,682,637,1395,1383,63,95,
60,72,240,288,120,144,56,42,228,246,396,372,340,330,284,288,172,204,
// count=137
635,703,828,864,276,288,552,576,495,488,598,586,736,808,1308,1312,676,624,632,688,
1420,1418,180,148,698,725,490,506,277,291,554,582,360,348,920,896,172,148,918,930,
1062,1116,327,297,828,824,1457,1402,23,23,69,69,46,46,115,115,92,92,207,207,
184,184,1956,1968,72,60,144,120,788,768,668,576,758,720,818,816,30,48,60,96,
754,752,377,376,304,336,420,408,1076,1064,324,376,376,344,1800,1830,220,220,440,440,
660,660,1746,1782,185,164,1511,1550,96,84,192,168,161,171,322,342,644,684,264,300,
180,162,360,324,528,600,378,414,212,218,424,436,598,540,1203,1181,892,856,960,971,
998,1041,922,901,1127,1119,939,1013,446,450,504,576,640,612,194,162,252,288,596,564,
682,704,1122,1164,990,960,66,102,1212,1212,597,634,1551,1572,194,196,582,588,388,392,
72,64,36,32,180,160,108,96,144,128,280,310,1180,1180,252,236,126,118,546,583,
864,906,828,816,1333,1409,288,342,1056,1054,462,439,1180,1200,343,379,686,758,411,405,
210,258,201,147,228,240,548,512,1089,1066,109,146,1835,1915,1550,1568,932,912,68,80,
204,240,136,160,83,76,166,152,524,536,548,608,299,251,808,756,404,378,420,480,
2332,2448,644,598,342,342,684,684,388,432,428,414,1229,1215,
// count=150
148,136,296,272,444,408,1694,1672,125,146,250,292,1476,1469,1440,1464,1764,1792,1124,1140,
836,816,1834,1772,734,746,332,302,240,220,120,110,180,220,950,900,252,252,504,504,
373,360,158,183,316,366,215,177,198,210,396,420,1212,1248,192,164,2385,2295,2610,2682,
25,43,50,86,448,508,224,254,753,714,595,616,1174,1168,262,273,524,546,19,31,
1597,1501,38,62,57,93,1780,1760,180,156,360,312,486,444,774,732,336,368,760,740,
486,481,972,962,459,436,454,492,227,246,681,738,468,440,216,242,900,924,684,682,
432,484,351,338,387,394,315,282,279,226,423,450,36,56,654,642,1422,1446,114,162,
925,897,488,504,954,909,212,200,252,264,468,432,216,168,482,504,764,794,852,822,
630,630,126,126,252,252,1607,1648,768,763,999,1031,1018,1005,409,444,454,465,499,486,
589,528,544,507,45,21,138,138,276,276,136,108,844,792,436,468,572,576,552,604,
276,302,785,729,1684,1748,448,448,896,896,182,173,364,346,189,197,621,587,432,390,
378,394,282,276,564,552,1438,1370,1235,1159,152,120,1008,1012,88,96,176,192,312,312,
104,104,416,416,292,232,208,208,144,144,161,148,305,292,254,280,17,4,127,140,
212,160,93,132,110,136,178,152,195,156,271,284,888,983,90,51,1306,1344,1270,1244,
1010,1060,390,342,1129,1106,360,372,300,288,240,204,420,456,60,84,841,763,466,477,
// count=162
402,376,514,522,145,115,369,407,257,261,124,136,212,200,248,272,176,128,88,64,
684,762,1212,1284,528,522,792,808,396,404,132,102,264,302,528,506,320,280,30,42,
60,84,504,486,216,294,252,243,327,331,981,993,260,280,180,160,160,240,340,400,
1640,1594,504,564,860,832,2140,2112,420,448,1406,1434,723,768,589,686,390,374,1194,1223,
780,748,867,813,555,569,1184,1208,1310,1347,614,701,820,788,1064,1070,340,362,1052,984,
888,900,1112,1096,362,334,324,312,744,768,420,456,396,398,102,131,192,136,600,660,
498,529,294,267,1620,1656,846,810,879,811,676,752,654,702,420,420,606,558,814,818,
396,402,800,836,268,223,1000,1084,1506,1476,500,542,1734,1714,170,180,360,320,530,500,
53,65,106,130,159,195,514,540,257,270,320,272,824,896,572,584,460,474,672,735,
220,209,660,627,892,944,420,440,420,480,420,400,1077,1056,1083,1104,1074,1032,1068,984,
256,274,768,754,822,856,1244,1300,136,190,212,185,280,280,636,555,492,465,68,95,
348,375,117,96,1045,1192,234,192,292,296,608,601,1248,1332,800,850,980,1000,180,150,
234,258,210,210,258,306,186,162,198,186,222,234,174,138,162,114,246,282,408,396,
12,24,24,48,260,262,520,524,168,144,336,288,1302,1386,762,770,381,385,1099,1069,
895,829,204,240,1200,1219,284,264,1396,1416,572,528,744,760,1334,1302,667,651,403,439,
144,156,1882,1807,1733,1657,1316,1336,139,107,204,204,408,408,612,612,1996,1960,716,698,
306,348,1432,1396,
// count=155
348,368,288,344,1164,1152,636,712,408,392,400,400,100,100,200,200,300,300,252,264,
756,792,2418,2474,352,362,294,277,58,85,236,192,526,617,836,768,272,304,1530,1500,
1594,1522,560,512,388,400,108,144,280,256,496,544,456,492,357,339,739,720,338,369,
210,246,1505,1549,373,394,498,456,497,560,249,228,348,408,848,784,424,392,318,310,
436,408,277,363,99,93,198,186,720,704,498,489,923,954,1551,1504,156,188,312,376,
390,348,402,408,792,756,48,32,1152,1208,96,64,708,658,224,240,448,480,228,216,
1794,1878,840,882,829,837,191,243,660,625,479,488,298,351,630,611,252,252,84,84,
168,168,2297,2419,358,370,456,492,260,248,196,244,554,614,422,374,98,122,692,756,
668,624,414,410,576,576,384,384,192,192,486,479,774,857,322,277,874,887,552,610,
315,280,1218,1240,384,354,276,336,1603,1592,780,780,390,399,316,292,706,691,464,506,
349,410,344,339,480,458,502,474,814,798,312,324,624,648,1582,1512,644,672,1492,1482,
853,817,639,665,340,400,780,720,560,560,280,280,658,599,498,509,1416,1412,1245,1331,
57,27,540,528,720,756,450,414,360,300,90,114,254,253,508,506,242,205,480,468,
240,234,231,252,222,270,249,216,408,436,204,218,308,304,616,608,1581,1662,1246,1276,
1795,1853,108,137,540,488,276,312,408,400,62,85,2278,2396,6123,6208,24,36,12,18,
36,54,60,90,48,72,1353,1419,481,443,
// count=139
2454,2190,490,523,980,1046,144,133,288,266,777,738,122,140,668,664,220,200,636,660,
440,400,416,460,1152,1236,576,618,2028,1952,708,768,338,304,500,515,1000,1030,210,210,
420,420,630,630,288,252,396,444,252,240,216,228,504,480,180,216,1369,1368,392,336,
524,504,460,472,1086,1074,214,227,262,237,310,247,690,691,166,217,936,870,430,430,
1290,1290,600,560,1004,978,668,636,924,896,462,448,36,36,72,72,144,144,108,108,
216,216,180,180,342,318,1679,1676,592,656,1192,1248,972,1046,424,422,848,844,2280,2244,
185,223,234,222,468,444,297,304,594,608,1362,1324,74,93,148,186,134,145,268,290,
402,435,1088,1160,1084,1072,544,580,1156,1142,420,424,288,272,156,120,132,152,444,392,
68,72,136,144,204,216,590,626,551,518,2796,2724,744,753,1364,1440,120,150,1060,990,
1084,1042,396,444,80,50,556,544,476,494,1620,1608,252,252,597,639,345,387,411,369,
792,782,364,314,884,868,126,108,660,670,282,346,534,562,408,454,378,324,529,475,
732,744,812,763,250,232,1115,1216,500,464,3200,3266,428,400,1822,1750,1488,1487,1002,1063,
860,760,410,405,1260,1386,576,540,1770,1819,439,470,600,544,849,897,626,554,3042,3012,
1122,1122,444,384,402,378,360,372,132,156,44,52,88,104,176,208,299,326,
// count=146
463,445,1161,1215,420,420,120,108,300,312,240,216,180,204,572,506,520,550,4099,4061,
43,65,3950,3980,4010,4100,10,20,20,40,336,348,168,156,336,312,168,192,504,468,
336,384,1032,997,530,601,648,638,108,78,1700,1704,1300,1300,1008,982,718,694,395,436,
184,193,552,579,368,386,471,456,323,296,148,160,296,320,175,136,436,440,1308,1320,
408,366,1260,1240,924,918,322,376,1342,1456,792,750,864,906,1900,1897,966,1002,396,432,
570,570,744,708,462,396,661,666,1818,1918,306,294,1472,1476,872,846,268,296,536,592,
487,448,1420,1468,78,66,156,132,708,684,880,954,567,489,849,807,141,159,1131,1125,
308,308,270,264,540,528,300,276,193,179,386,358,2314,2470,632,624,332,384,555,574,
520,544,318,315,434,401,404,458,202,229,752,716,904,1014,252,242,504,484,1260,1320,
320,400,444,450,314,290,130,160,574,610,1092,1016,312,336,156,168,646,613,2138,2109,
2175,2167,37,58,60,60,120,120,180,180,240,240,150,130,312,356,917,954,244,272,
660,662,964,968,1013,1049,49,81,341,330,273,250,136,160,68,80,205,170,888,872,
104,87,208,174,230,254,709,733,479,479,249,225,460,508,1540,1498,1128,1128,432,372,
564,564,378,366,756,732,684,774,1148,1142,992,984,496,492,28,40,84,120,56,80,
430,383,698,727,262,276,1639,1567,428,440,1340,1374,
// count=153
273,253,1016,1040,226,256,452,512,860,920,32,26,64,52,96,78,144,162,72,81,
216,243,1084,1128,847,836,393,403,348,354,1574,1524,276,256,540,632,617,624,1851,1872,
545,540,232,208,412,408,464,416,180,200,2328,2308,917,875,144,144,216,252,48,24,
120,132,24,12,96,120,192,168,168,156,192,240,264,276,72,108,312,300,141,156,
564,624,282,312,746,728,200,180,100,90,40,38,80,76,200,190,120,114,160,152,
638,638,944,875,1276,1276,306,237,651,672,504,504,252,252,966,1070,540,560,978,944,
1080,1080,540,540,485,527,564,584,282,292,1264,1232,468,468,234,234,1008,1008,124,160,
1038,948,360,366,200,180,100,90,490,540,300,270,264,252,1166,1229,707,684,988,1021,
281,337,530,542,699,690,169,148,361,394,338,296,1936,1910,951,872,1983,2012,482,516,
640,590,660,660,1120,1156,366,350,96,104,48,52,174,142,144,156,192,208,126,90,
222,194,114,170,270,246,1578,1659,110,139,429,440,99,66,702,798,297,310,594,620,
824,822,484,432,1164,1212,436,418,388,404,340,390,56,42,112,84,1228,1312,1032,1056,
568,520,181,165,362,330,716,690,358,345,373,421,880,928,604,616,552,624,276,312,
328,304,604,652,1048,1060,1190,1210,960,900,115,155,1066,1010,555,614,416,399,832,798,
408,396,668,670,908,802,1602,1663,1984,2002,836,888,668,664,204,224,816,896,618,636,
564,606,726,696,54,30,
// count=151
72,56,144,112,1122,1166,378,384,84,67,252,201,294,317,462,451,210,250,168,134,
672,701,828,872,168,152,336,304,280,310,1460,1470,332,306,326,376,1727,1709,497,513,
240,240,300,360,480,480,1478,1530,490,491,1470,1473,549,542,549,500,1098,1042,1624,1662,
366,342,1106,1124,300,340,1176,1100,368,344,184,172,72,63,144,126,694,625,798,825,
746,725,779,717,1204,1162,102,90,306,270,204,180,224,256,1436,1460,479,501,997,1107,
1556,1628,270,285,540,570,752,696,376,348,411,414,695,668,284,254,665,734,127,160,
100,92,300,276,200,184,54,78,258,246,312,324,204,168,516,492,470,460,650,700,
580,584,260,280,320,304,640,608,907,938,248,290,124,145,252,255,504,510,660,720,
1032,958,220,240,1474,1450,960,1018,500,402,730,710,115,154,260,212,444,408,184,196,
628,604,874,870,2016,2016,1134,1176,534,522,600,576,335,324,716,738,381,414,788,795,
352,412,392,356,764,740,372,384,441,431,882,862,338,412,1843,1841,389,339,188,184,
752,736,288,324,100,140,452,424,226,212,678,636,129,114,495,588,753,816,624,702,
645,702,663,650,1258,1155,810,810,176,214,84,84,168,168,252,252,420,420,1861,1930,
1230,1265,1160,1230,1274,1329,1298,1383,195,188,788,734,26,30,52,60,78,90,130,150,
156,180,104,120,942,988,343,319,676,688,756,798,276,240,556,568,672,624,722,751,
1294,1218,
// count=152
1423,1409,969,927,640,680,860,856,258,270,288,318,198,174,516,540,318,366,228,222,
546,588,456,444,30,48,120,150,270,270,420,390,660,690,150,120,1843,1841,744,748,
1508,1445,884,844,872,883,924,924,768,808,156,116,1640,1632,1605,1680,468,474,144,114,
108,120,216,240,252,234,324,360,437,383,689,705,480,392,432,448,156,156,78,78,
312,312,234,234,586,602,555,531,617,673,637,604,238,256,399,348,714,768,1566,1508,
100,80,1281,1249,1591,1561,360,372,720,744,1194,1101,1503,1600,1539,1456,486,462,144,108,
630,570,342,354,300,300,180,210,420,390,882,906,1043,941,683,701,60,72,180,216,
120,144,240,288,557,550,180,180,360,360,180,144,360,324,180,216,360,396,756,720,
320,320,640,640,148,144,296,288,444,432,1106,1174,1279,1274,790,724,851,897,390,390,
780,780,25,32,50,64,75,96,125,160,1662,1653,592,522,739,748,464,416,429,447,
258,314,68,58,136,116,204,174,882,942,468,440,282,288,564,576,846,864,120,120,
240,240,360,360,1348,1247,524,551,357,361,298,244,416,478,92,96,184,192,276,288,
368,384,1542,1555,762,740,716,644,260,268,780,804,1766,1774,435,396,48,60,288,360,
96,120,144,180,347,359,669,663,801,863,537,463,603,563,4344,4304,36,16,552,522,
222,204,507,465,272,252,54,42,108,84,592,739,188,158,1042,1113,564,558,1104,1158,
180,150,264,256,
// count=73
396,390,792,780,1032,1024,516,512,622,606,1494,1458,308,222,686,735,920,890,380,410,
242,231,733,742,417,380,1289,1319,84,72,42,36,168,144,126,108,944,912,772,792,
306,377,300,310,372,354,150,155,78,111,522,509,228,266,72,44,450,465,222,199,
793,809,61,56,122,112,183,168,244,224,248,230,340,358,465,508,369,359,637,661,
528,614,1049,948,210,210,420,420,1056,1063,1140,1106,266,273,174,165,82,57,184,216,
92,108,358,381,1222,1227,1196,1130,40,40,80,80,160,160,200,200,120,120,384,348,
804,840,1231,1180,600,657,333,354,1273,1234,205,235,41,47,164,188,82,94,123,141,
494,419,328,322,1567,1595,
// count=79
36,24,342,348,306,324,378,372,270,300,72,48,1892,1872,418,455,241,239,482,478,
723,717,380,389,1140,1167,1348,1324,460,496,520,470,985,1077,1056,1076,1332,1380,528,492,
1440,1391,1528,1539,44,74,200,160,692,728,159,184,222,184,381,368,540,552,444,368,
2800,2830,864,870,864,732,288,336,1152,1206,1826,1844,366,420,1332,1376,1641,1600,1044,1052,
624,596,882,918,288,324,594,594,515,510,1030,1020,896,920,448,460,905,906,324,354,
60,36,384,390,444,426,264,318,220,208,354,352,708,704,2156,2188,360,360,330,300,
720,720,390,420,40,40,200,200,80,110,160,130,80,80,240,270,120,90,160,160,
120,120,80,50,40,70,696,712,348,356,678,690,1356,1380,576,564,325,311,
// count=73
2077,2122,608,688,196,152,591,553,603,629,261,255,1360,1414,276,296,172,154,1684,1736,
943,917,720,730,1076,1064,1132,1192,213,209,639,627,12,12,72,72,60,60,24,24,
36,36,48,48,96,96,84,84,238,252,294,252,532,504,1279,1324,371,348,1928,1886,
1912,1966,204,228,1846,1732,923,866,186,168,56,56,28,28,84,84,112,112,140,140,
106,124,53,62,159,186,1100,1135,1002,1014,1107,1099,726,684,1572,1426,76,96,152,192,
573,583,1128,1228,296,307,940,897,132,136,240,204,156,204,636,612,552,612,108,68,
460,444,1704,1696,1367,1345,289,307,789,731,144,162,336,312,480,474,288,324,164,175,
262,236,230,289,426,411,
// count=83
220,248,1505,1489,440,496,28,24,56,48,112,96,84,72,140,120,836,816,732,660,
114,126,168,132,228,252,342,378,932,1008,431,473,595,555,1546,1508,156,174,468,522,
1008,1055,817,809,270,252,396,396,252,288,126,144,522,540,666,648,144,108,264,286,
792,858,408,410,816,820,80,80,320,320,160,160,1864,1756,928,960,888,880,948,1000,
20,40,550,620,1100,1240,633,699,211,233,1056,1158,201,258,654,642,855,900,892,919,
850,746,99,77,28,32,56,64,112,128,140,160,168,192,84,96,1655,1650,1427,1314,
57,84,148,150,74,75,222,225,370,375,98,83,196,166,642,630,1266,1314,190,166,
252,288,442,454,906,898,948,894,152,114,654,634,1065,1095,411,461,327,317,1439,1384,
456,480,693,700,1146,1224,
// count=68
751,719,796,824,336,328,1294,1340,1271,1350,420,440,1495,1449,483,529,506,460,1473,1486,
584,574,624,576,720,696,96,120,1140,1080,1064,1096,1560,1530,1380,1440,1552,1592,536,504,
492,486,1716,1752,1728,1776,1740,1800,12,24,1158,1244,390,382,197,183,394,366,591,553,
618,614,645,675,842,875,736,784,184,196,368,392,289,289,578,578,312,344,768,834,
1176,1194,204,180,360,348,905,925,305,265,600,660,284,275,574,610,1516,1488,374,410,
254,314,120,96,734,698,561,533,1828,1944,2154,2120,926,990,382,342,654,666,272,324,
76,60,152,120,340,348,188,228,58,50,174,150,116,100,232,200,
// count=72
752,720,2386,2420,342,318,2228,2088,148,136,296,272,268,244,708,716,132,152,444,412,
576,564,1340,1400,784,790,556,610,212,252,330,305,542,557,572,528,583,616,665,695,
495,423,1476,1458,2134,2239,184,160,1251,1326,108,88,2304,2118,1788,1734,60,60,220,270,
120,120,180,180,140,90,280,330,882,846,754,696,1326,1254,791,820,889,980,600,576,
991,1029,1200,1152,1754,1701,642,648,972,972,432,432,108,108,216,216,2163,2117,709,737,
724,702,776,858,700,630,708,654,736,738,716,678,740,750,732,726,712,666,4,12,
2108,2116,168,204,1124,1134,562,567,817,766,653,710,735,738,360,320,1264,1376,246,234,
492,468,634,634,
// count=135
138,174,1140,1140,708,744,432,396,268,280,694,742,62,76,124,152,420,384,600,636,
780,888,948,906,792,804,396,396,300,300,600,600,812,808,656,660,612,654,288,246,
248,272,272,250,124,136,520,522,372,408,339,347,858,868,1773,1848,104,96,628,664,
208,192,312,288,1620,1650,1344,1302,92,116,1638,1636,492,488,984,976,2255,2252,267,308,
1048,968,185,199,370,398,308,264,370,375,540,600,690,690,1026,1050,120,120,420,480,
480,480,240,240,558,522,315,315,387,423,630,630,243,207,2673,2728,476,455,2155,2119,
278,295,359,338,173,200,532,538,346,400,740,808,488,472,976,944,1140,1152,1132,1080,
1152,1090,444,500,246,258,120,100,240,200,2036,2078,195,196,377,398,208,190,182,202,
221,184,169,208,390,392,403,386,344,352,396,328,370,340,478,532,1905,1904,838,844,
256,236,512,472,343,380,396,396,198,198,594,528,644,632,2623,2665,2649,2727,1450,1440,
3756,3824,1188,1176,552,552,594,606,750,765,500,510,250,255,831,864,714,752,494,488,
768,712,260,246,130,123,459,468,198,252,890,896,1200,1218,118,142,728,650,935,896,
588,584,459,446,1226,1293,102,133,432,390,636,656,738,789,1050,1055,630,633,210,211,
790,830,370,350,948,990,1219,1147,197,223,
// count=76
84,72,168,144,252,216,1660,1620,760,690,199,190,398,380,616,602,700,728,28,42,
560,518,644,644,504,434,588,560,56,84,84,126,2044,1992,516,504,216,240,408,384,
192,144,108,120,300,264,839,925,774,696,300,300,600,600,1550,1534,228,236,57,59,
114,118,171,177,800,816,924,858,292,288,1730,1838,756,768,1376,1308,1184,1200,490,532,
347,334,1708,1568,314,305,628,610,78,78,234,234,156,156,474,506,948,1012,924,893,
999,1020,376,388,188,194,530,550,432,390,126,98,412,392,1491,1543,182,157,1142,1134,
571,567,356,356,508,568,76,106,635,652,1270,1304,2371,2353,113,121,452,484,226,242,
471,476,216,180,810,846,342,342,684,684,126,162,
// count=82
83,96,166,192,1416,1506,460,410,732,760,1440,1450,532,508,1064,1016,276,298,252,248,
504,496,203,222,240,240,120,120,194,156,314,276,37,18,83,102,129,186,157,138,
166,204,277,258,1100,1111,168,186,75,60,150,120,243,246,318,306,336,372,93,126,
1578,1620,625,612,512,566,1364,1342,564,532,1332,1440,1162,1248,588,552,496,514,782,734,
256,224,412,432,924,880,156,208,708,756,1416,1512,215,246,576,572,345,302,1152,1144,
231,270,1580,1582,525,484,1488,1550,113,119,226,238,339,357,2108,2088,296,326,592,652,
560,496,280,248,480,460,240,230,324,384,230,230,44,25,240,228,120,114,147,153,
441,459,270,246,123,93,294,306,996,1062,1192,1144,596,572,588,536,1274,1225,786,738,
732,846,768,774,
// count=75
179,163,836,892,358,326,48,48,96,96,144,144,192,192,288,288,1591,1602,414,444,
888,858,252,252,126,126,378,378,3862,3824,232,192,1212,1220,717,645,606,610,912,852,
1060,1060,456,426,1612,1526,1188,1188,594,594,100,92,360,372,200,184,260,280,160,188,
60,96,1194,1206,1988,1932,1566,1588,759,759,1189,1129,35,42,70,84,175,210,105,126,
140,168,948,936,474,468,808,876,426,384,1748,1684,1416,1488,1056,1044,420,460,180,160,
776,740,452,500,226,250,33,21,66,42,480,429,1110,1089,1212,1264,1284,1296,428,432,
2582,2694,536,504,168,192,84,96,704,696,930,910,360,388,720,776,192,180,508,532,
124,172,384,360,540,507,384,417,462,462,
// count=74
964,878,1300,1242,1323,1288,1369,1380,96,118,192,236,1788,1716,188,224,841,792,599,618,
364,372,534,535,700,712,648,720,752,704,376,352,792,792,940,1030,396,396,322,277,
470,515,252,288,285,295,570,590,482,532,1132,1058,538,530,400,424,1023,984,446,447,
892,894,360,380,471,377,246,247,328,280,280,310,608,590,222,246,156,152,312,304,
540,492,420,504,460,500,500,496,827,778,1584,1575,29,26,58,52,116,104,87,78,
145,130,240,264,360,396,522,454,120,132,1758,1790,380,390,180,150,280,270,480,510,
100,120,616,622,1205,1185,520,550,972,964,2376,2517,660,660,330,330,785,715,1233,1194,
177,204,2318,2224,516,474,588,630,
// count=122
1074,1024,316,320,224,256,408,384,672,768,92,64,349,394,1216,1104,1202,1241,272,306,
420,406,148,100,275,297,550,594,632,601,510,498,638,636,419,391,676,632,1358,1330,
536,506,212,260,564,552,474,452,1244,1232,744,732,1054,1032,162,180,920,976,920,880,
1142,1193,206,175,604,652,584,602,564,552,524,452,700,718,608,570,276,240,942,978,
1208,1190,1429,1330,1000,1000,500,500,1422,1446,412,448,1446,1422,533,546,1066,1092,141,156,
282,312,1510,1587,672,656,336,328,504,528,252,264,953,919,396,402,1008,942,2140,2080,
1403,1285,1235,1265,148,170,546,524,98,116,193,160,389,392,793,761,120,160,936,976,
468,488,348,328,1734,1862,1236,1278,240,200,1068,1072,828,872,840,824,420,412,1300,1344,
650,672,1540,1582,282,282,564,564,320,332,160,166,604,526,2609,2753,769,780,36,24,
72,48,601,602,1202,1204,138,126,402,414,276,252,666,702,264,288,126,162,484,480,
768,684,1261,1194,204,218,408,436,2379,2347,353,379,991,943,1584,1420,1560,1508,1754,1679,
119,98,768,740,602,629,986,999,924,882,924,924,954,906,344,322,128,108,773,897,
1029,1113,384,324,
// count=144
440,484,330,330,660,660,220,176,156,168,312,336,204,180,360,348,341,336,432,444,
1764,1696,224,266,1136,1106,316,314,1020,1040,700,640,340,360,170,180,516,472,1224,1368,
576,582,260,252,1806,1758,236,178,100,140,2146,2168,50,70,1040,1092,312,306,1799,1744,
144,144,432,432,288,288,144,156,288,312,159,155,477,465,318,310,636,620,382,396,
459,474,682,714,1071,1053,1674,1746,711,720,474,480,1185,1200,237,240,260,260,748,695,
1071,1058,402,402,804,804,576,582,876,822,264,246,384,396,648,642,528,492,120,150,
803,863,602,590,577,557,1154,1114,201,240,445,416,890,832,323,328,524,568,122,88,
456,489,1198,1165,1082,1169,108,104,324,312,216,208,700,716,2367,2410,300,264,696,720,
996,984,348,360,1287,1257,509,504,580,584,410,466,1160,1168,90,60,104,80,328,304,
112,112,344,368,336,336,120,144,216,192,232,256,224,224,1212,1216,280,320,1232,1144,
140,160,1276,1232,385,407,1477,1379,578,602,289,301,1188,1188,396,396,648,558,714,678,
739,679,723,728,1113,1107,1168,1204,1286,1262,528,504,264,252,616,672,1080,1040,540,520,
712,724,100,76,612,648,812,800,493,478,1242,1176,998,1004,280,250,144,136,553,602,
841,874,288,272,464,432,232,216,1098,1074,588,550,792,820,391,401,782,802,654,662,
626,667,1252,1334,354,317,1122,1164,
// count=146
372,392,744,784,260,282,1855,1832,327,309,744,836,216,228,114,90,330,318,102,138,
648,684,1095,1074,385,420,344,375,547,545,435,377,56,84,1404,1424,444,504,2246,2193,
424,400,880,880,456,480,900,1016,100,72,696,708,327,361,1023,1069,482,458,779,824,
1212,1272,1278,1188,1761,1812,1167,1148,994,992,494,430,744,711,250,281,832,805,424,388,
212,194,332,380,1410,1340,690,740,1173,1165,468,424,528,592,508,536,1730,1824,95,90,
190,180,285,270,210,214,105,107,315,321,228,207,456,414,452,470,904,940,1872,1914,
296,276,1764,1736,1254,1152,322,371,1188,1184,222,253,162,150,414,462,324,300,520,520,
1236,1178,585,563,343,393,544,484,804,824,1476,1556,239,208,916,948,1073,1059,1060,1090,
980,980,80,110,1092,1082,3882,4048,742,684,1484,1368,776,796,1824,1788,415,422,418,401,
808,730,446,473,474,545,958,953,1710,1820,855,910,492,512,113,153,318,258,349,369,
236,216,41,21,195,195,308,348,154,174,277,237,392,378,556,541,1872,1990,240,240,
120,96,60,72,360,336,120,144,180,168,300,312,300,264,618,654,225,205,954,951,
906,950,858,949,300,300,1227,1199,168,156,264,324,300,318,468,474,336,312,480,474,
284,306,196,168,764,780,798,834,261,273,560,520,280,260,522,546,242,286,541,533,
828,848,264,296,1092,1144,564,552,922,853,950,1016,
// count=146
770,748,360,352,180,176,540,528,720,704,231,198,1121,1136,882,954,180,144,580,526,
260,298,420,412,160,114,130,123,260,246,1598,1531,73,82,146,164,219,246,602,636,
872,912,436,456,2453,2448,247,208,380,360,420,440,440,480,460,520,760,720,340,280,
480,560,20,40,563,577,196,188,392,376,588,564,612,588,228,276,804,744,420,432,
585,594,508,462,77,132,462,402,432,462,894,864,616,616,380,420,690,690,190,210,
310,270,1714,1672,968,923,899,906,1108,1180,1084,1096,444,424,48,60,96,120,144,180,
304,254,911,851,996,950,464,514,232,257,612,630,744,839,155,175,325,317,480,492,
170,142,1112,1190,172,156,344,312,144,126,605,605,60,80,920,920,860,840,980,1000,
376,346,280,231,788,813,416,418,180,143,236,275,1362,1425,454,475,396,372,618,696,
507,534,330,330,450,510,96,86,108,138,204,224,192,172,216,276,3977,4060,59,84,
1366,1284,108,108,36,36,144,144,180,216,72,72,144,108,108,144,216,252,72,108,
472,464,708,696,236,232,668,712,768,770,1914,1970,210,198,420,396,1015,970,734,746,
94,69,1588,1568,781,783,286,254,143,127,740,764,932,860,1804,1832,364,322,404,392,
202,196,195,231,198,210,396,420,114,102,342,306,495,526,250,231,364,412,996,1138,
234,246,468,492,284,290,502,490,570,682,787,831,
// count=133
336,340,414,378,176,193,489,464,852,904,1242,1206,1314,1350,862,945,392,378,784,756,
964,958,359,391,188,148,1008,980,204,240,1416,1460,1996,1982,720,762,628,664,848,836,
508,556,424,418,764,698,504,576,444,424,210,210,420,420,168,178,336,356,2365,2358,
506,493,1080,1160,320,280,102,102,306,306,204,204,316,346,270,306,200,216,116,104,
92,72,316,328,204,200,112,128,296,272,224,256,180,180,360,360,273,251,546,502,
108,108,216,216,324,324,224,238,448,476,300,278,76,40,1283,1282,1539,1464,1886,1954,
506,572,1761,1875,158,222,280,280,182,224,742,784,1682,1616,406,388,332,350,312,324,
2496,2515,124,87,2140,2126,132,104,408,412,276,308,840,924,322,322,3516,3528,3504,3492,
6,18,358,389,59,87,1799,1850,120,87,398,417,638,591,518,504,1100,1072,556,544,
1848,1904,294,252,148,120,3184,3184,624,642,208,214,348,306,692,764,140,92,2826,2919,
65,50,130,100,195,150,990,999,1026,990,276,240,864,828,588,588,500,518,252,234,
1000,1036,278,262,396,438,556,528,144,112,1680,1632,338,282,428,408,1302,1352,453,434,
742,707,396,352,516,564,960,1020,270,210,480,510,341,293,4607,4492,916,878,718,771,
888,954,544,480,272,240,
// count=72
572,542,78,75,156,150,468,450,234,225,511,532,1237,1196,1441,1421,271,305,542,610,
564,552,90,111,753,734,1346,1375,913,827,720,740,816,786,360,370,162,174,414,408,
252,234,272,296,544,592,660,684,468,432,320,296,160,148,480,444,1762,1736,788,728,
164,200,1280,1328,1107,1151,797,743,395,418,446,532,846,948,282,316,980,1060,220,200,
1480,1434,120,108,240,216,2108,2108,516,552,810,744,1656,1632,818,836,409,418,892,936,
1220,1227,328,291,1448,1440,228,216,156,182,456,432,312,364,384,398,52,72,2533,2601,
104,144,156,216,560,530,600,684,300,342,1499,1530,130,150,260,300,580,536,454,485,
646,668,551,503,
// count=73
1794,1749,272,291,1437,1462,586,566,879,849,293,283,77,81,154,162,231,243,768,804,
792,732,924,896,792,808,799,807,998,954,495,506,758,729,990,1012,263,223,72,82,
144,164,190,190,380,380,124,128,62,64,186,192,1698,1770,611,581,1430,1364,48,36,
354,414,96,72,546,569,972,1095,152,160,456,480,84,119,2831,2884,84,72,552,570,
168,144,1008,992,1883,1914,336,328,624,672,452,492,545,543,317,314,401,440,84,126,
2292,2316,2172,2256,40,20,132,152,116,106,248,258,264,304,364,364,232,212,332,272,
348,318,148,198,1044,1080,252,294,408,384,204,192,650,606,958,963,453,439,226,244,
630,660,2032,2074,375,336,
// count=72
1914,1930,1000,1000,2121,2040,1414,1360,2874,2886,846,906,756,792,516,492,468,504,552,532,
510,518,594,546,1544,1543,836,897,65,42,1948,1984,2078,2068,2486,2536,1172,1136,584,602,
532,560,1324,1296,768,780,772,760,386,380,805,898,1180,1110,340,280,472,446,576,504,
264,330,983,982,498,452,360,360,180,180,900,900,366,366,372,336,354,426,360,396,
1098,1098,1290,1288,1286,1235,866,867,446,499,612,587,2195,2183,358,339,720,788,1320,1236,
510,510,280,250,796,766,3516,3462,845,866,773,770,701,674,72,96,1334,1328,949,895,
898,897,406,413,216,170,216,228,144,132,72,96,180,180,252,276,36,48,108,84,
252,216,1025,1021,
// count=69
880,956,1205,1201,804,800,964,914,94,92,188,184,282,276,359,380,1100,1054,1716,1816,
540,530,272,244,75,96,347,340,422,436,846,828,760,760,1112,1220,714,756,652,694,
364,416,288,278,507,522,1014,1044,1796,1704,1241,1296,1365,1287,336,336,400,464,368,400,
304,272,640,608,999,1030,578,545,76,98,502,447,38,49,730,741,1316,1344,1344,1302,
210,220,210,180,420,400,420,440,92,68,292,334,384,402,476,470,492,600,1856,1798,
822,796,1254,1324,468,384,462,426,456,468,1260,1264,1098,1086,340,360,20,14,40,28,
424,409,171,170,342,340,513,510,72,60,144,120,216,180,131,91,1341,1279,
// count=136
894,858,1362,1429,1512,1596,1092,1050,1440,1470,720,735,940,936,1320,1344,1148,1112,796,842,
390,378,330,354,510,426,876,876,432,452,456,396,636,618,806,801,176,184,528,552,
352,368,572,572,286,286,1430,1430,1177,1160,560,520,460,456,1692,1758,444,432,1314,1362,
324,328,120,96,444,424,204,232,648,656,614,599,1396,1486,252,252,504,504,2420,2480,
186,222,105,90,396,402,291,312,210,180,2043,2123,121,123,363,369,242,246,484,492,
1401,1412,612,612,408,408,204,204,777,727,710,603,911,975,1005,1050,324,312,648,624,
204,248,921,928,772,778,678,674,339,337,444,432,1776,1728,1392,1356,612,732,15,5,
276,264,784,868,808,821,958,1071,778,771,748,721,718,671,30,50,261,228,87,76,
174,152,212,206,484,552,2248,2220,835,867,750,808,843,782,660,634,588,532,732,736,
72,102,220,187,1691,1654,1251,1280,279,285,558,570,318,246,1422,1416,602,542,876,848,
300,332,1630,1508,1356,1314,1266,1296,908,908,636,576,284,320,492,526,534,523,576,520,
705,698,1110,1068,188,170,94,85,282,255,516,538,1052,1096,1388,1352,1793,1818,810,768,
318,360,492,408,540,540,735,756,1470,1512,96,108,192,216,288,324,730,826,240,240,
480,480,684,678,513,502,946,959,752,722,570,565,
// count=85
226,242,90,81,30,27,60,54,120,108,150,135,804,816,192,248,1358,1408,414,360,
472,524,579,623,204,234,960,906,794,891,133,109,160,150,686,673,447,420,360,384,
894,840,534,456,1140,1238,376,386,364,306,764,852,558,558,2088,2096,1700,1647,935,985,
531,513,195,210,390,420,324,342,580,540,904,882,508,472,828,840,60,72,120,144,
180,216,1102,1082,60,72,120,144,180,216,660,636,44,37,88,74,132,111,131,123,
393,369,262,246,813,828,652,640,161,188,482,472,1234,1274,376,401,159,152,318,304,
222,156,74,52,72,64,36,32,108,96,158,172,208,192,104,96,108,152,54,76,
262,268,312,288,370,420,590,580,470,420,60,80,530,500,120,160,650,660,480,466,
860,874,380,408,752,776,548,536,892,832,
// count=71
2124,2112,892,964,624,612,265,227,144,160,288,320,72,66,144,132,216,198,288,264,
88,88,176,176,264,264,189,225,626,564,63,75,126,150,1982,2016,1944,1930,540,530,
580,640,2213,2226,1509,1523,802,844,1596,1562,684,664,494,447,993,1014,673,646,156,174,
192,184,348,358,120,164,384,368,228,194,312,348,468,522,1986,2017,510,542,1212,1202,
504,490,308,336,700,644,126,108,282,276,156,168,252,216,378,324,438,444,312,336,
408,384,1935,1960,870,966,1566,1662,1591,1537,110,121,220,242,670,720,248,258,504,502,
552,636,853,823,216,210,432,420,1890,1902,588,552,936,972,690,666,1954,2075,915,930,
747,804,
// count=136
896,858,684,736,554,520,738,701,338,383,792,828,264,276,439,433,1317,1299,472,520,
444,483,148,161,1192,1106,484,522,450,456,900,912,806,818,127,118,254,236,532,504,
199,197,398,394,630,570,504,516,42,18,588,552,546,534,462,498,496,508,884,872,
388,364,108,144,308,306,1005,1045,568,592,284,296,99,66,1710,1804,874,872,396,444,
708,704,156,130,312,260,192,186,384,372,832,838,620,600,608,648,936,900,1392,1440,
696,720,460,442,920,884,450,402,696,804,601,566,528,576,872,886,432,432,264,288,
168,144,600,576,528,576,96,144,724,722,972,1000,725,725,1884,1924,2566,2543,338,344,
54,64,108,128,162,192,196,212,588,636,392,424,288,324,198,198,306,270,396,396,
1052,1054,312,312,156,156,468,468,1416,1460,898,868,96,104,192,208,439,466,1529,1514,
396,363,822,868,552,612,2071,2065,1035,1053,460,424,575,629,722,740,361,370,224,212,
132,156,356,368,396,468,448,424,566,552,283,276,284,264,568,528,548,604,1124,1170,
1020,978,1140,1254,720,708,355,279,364,376,1092,1128,242,226,484,452,1118,1164,480,529,
1530,1593,1050,1064,652,599,288,298,576,596,1228,1152,2082,2062,456,480,320,272,388,376,
330,346,282,318,426,402,378,374,474,430,48,28,
// count=140
599,628,1713,1636,226,210,678,630,452,420,46,47,92,94,138,141,184,188,354,282,
939,864,306,323,220,196,541,517,280,240,140,120,350,360,210,240,630,600,1756,1776,
320,280,426,394,612,640,1445,1465,1285,1205,492,449,259,284,1014,1038,875,882,925,878,
1026,1008,1570,1500,400,380,284,316,204,228,408,456,348,336,492,444,438,414,504,504,
504,522,504,558,504,486,733,686,817,830,648,640,799,790,759,694,1735,1675,1901,1889,
83,107,166,214,1411,1485,2005,1982,156,176,312,352,236,248,354,372,118,124,272,307,
544,614,708,810,408,360,204,180,770,770,127,97,162,186,576,582,414,396,252,210,
684,680,2596,2664,588,616,792,751,516,482,1100,1170,1995,2010,404,372,697,667,60,60,
120,120,240,240,180,180,1568,1593,246,282,270,222,516,504,786,726,1154,1214,1368,1356,
258,249,144,96,630,651,774,747,48,54,96,108,348,358,324,360,324,288,648,648,
336,372,168,186,2438,2414,1254,1254,209,171,660,660,960,1020,330,330,630,690,1968,1970,
1423,1444,1476,1512,492,504,516,552,408,384,480,496,444,440,372,328,36,56,72,112,
840,802,2006,1946,580,580,300,360,936,984,468,492,234,246,780,840,520,520,1464,1450,
942,916,327,285,142,126,284,252,426,378,896,880,224,220,672,660,448,440,933,994,
// count=141
175,160,350,320,525,480,530,576,84,72,168,144,504,552,336,348,252,276,90,90,
270,270,180,180,360,360,450,450,2294,2320,539,515,1359,1334,840,840,420,420,1114,1074,
911,921,320,360,160,180,80,90,240,270,2140,2064,672,744,1128,1120,636,618,92,64,
990,900,1364,1303,385,406,1355,1322,690,690,690,759,608,630,268,272,1376,1330,738,768,
1160,1128,610,612,1220,1224,258,216,381,408,598,560,299,280,340,344,41,64,301,337,
955,990,396,400,1286,1272,643,636,204,212,420,368,428,434,912,876,180,216,424,436,
244,220,604,652,570,606,252,240,822,846,782,763,212,256,152,149,412,408,824,816,
672,648,540,582,32,16,216,168,408,420,62,84,31,42,865,864,803,780,834,822,
93,126,120,114,364,424,360,342,240,228,242,269,122,155,238,187,1166,1158,153,111,
1013,1047,774,738,684,711,1188,1148,228,188,348,318,270,210,636,642,398,380,874,928,
378,378,1512,1512,723,648,507,520,84,96,168,192,520,494,260,247,268,274,384,386,
385,423,36,32,108,96,72,64,180,160,144,128,684,720,1004,992,320,272,980,987,
971,1027,604,632,710,668,302,316,240,240,480,480,844,884,209,243,321,355,1944,1996,
156,120,402,390,246,270,674,615,952,1008,964,948,252,294,90,126,1260,1272,114,102,
228,204,
// count=135
1082,1108,460,530,540,540,979,968,132,176,66,88,1742,1633,1416,1428,1584,1644,84,108,
168,216,1073,1109,559,537,2210,2273,454,458,908,916,400,360,232,232,464,464,613,586,
306,297,612,594,222,275,570,583,264,286,348,308,72,56,138,154,276,308,210,210,
66,98,282,266,909,945,966,978,852,912,1137,1077,57,33,384,408,644,584,1368,1404,
504,546,1168,1176,29,38,58,76,87,114,145,190,116,152,188,199,376,398,221,191,
84,104,720,680,804,784,552,472,168,208,768,742,100,88,358,412,458,500,300,264,
558,588,200,176,860,890,498,528,407,382,2106,1948,314,332,90,108,923,844,1452,1394,
54,85,282,317,1572,1534,932,902,780,806,936,910,448,464,460,440,190,206,468,432,
756,792,297,258,807,840,366,342,2220,2292,330,426,819,831,273,277,546,554,1856,1876,
973,942,565,646,390,380,312,338,1470,1469,624,676,870,876,338,332,676,664,378,374,
756,748,900,886,490,532,205,177,60,80,120,160,961,990,508,520,72,81,144,162,
216,243,288,324,186,199,372,398,952,890,292,292,876,876,364,420,1336,1286,750,660,
820,780,1332,1352,316,336,282,294,564,588,791,812,1169,1148,312,312,332,392,508,464,
420,400,985,1050,1212,1224,540,516,396,390,
// count=144
440,464,1110,1073,940,920,188,184,376,368,564,552,678,726,828,816,75,45,603,681,
134,106,828,804,788,744,948,984,40,60,351,329,702,658,72,60,144,120,498,518,
354,398,180,150,252,252,324,354,432,402,72,102,252,231,320,325,396,396,532,572,
464,484,68,88,328,308,372,376,452,470,117,78,335,392,569,548,1337,1353,956,976,
666,654,738,743,124,118,192,244,220,240,96,122,344,358,152,114,248,236,276,232,
941,923,771,705,1111,1141,620,606,2142,2070,198,234,204,210,408,420,511,479,430,466,
360,360,120,120,240,240,380,360,1022,1073,505,483,758,764,436,408,674,673,195,168,
621,621,225,253,1342,1372,1074,1050,50,30,680,690,630,660,580,630,920,934,260,222,
84,72,42,36,126,108,414,396,705,732,207,198,291,336,498,534,120,124,60,62,
180,186,204,158,283,331,1657,1597,453,480,1457,1438,744,756,678,726,230,251,460,502,
584,588,292,294,2676,2568,196,168,392,336,654,632,1308,1264,440,432,2468,2508,970,920,
470,490,636,636,126,135,378,405,1140,1117,76,60,790,834,638,714,580,512,108,96,
216,192,780,840,540,480,424,402,482,526,1604,1603,148,118,1344,1324,672,662,36,24,
408,448,516,520,552,544,72,48,444,472,902,899,1704,1744,694,652,1434,1458,1742,1748,
871,874,170,137,1212,1204,108,90,
// count=77
1512,1554,106,77,142,145,432,468,186,186,246,282,312,276,372,372,126,90,60,96,
1394,1364,198,184,1609,1717,156,130,1443,1508,724,653,708,704,505,520,328,292,316,286,
760,810,372,408,245,210,250,292,370,356,495,502,870,940,125,146,820,700,580,550,
500,500,420,450,80,50,664,616,1244,1296,400,400,800,800,600,720,1770,1808,1141,1134,
332,288,809,846,1062,1062,969,930,93,132,606,598,732,740,412,448,339,327,1103,1159,
764,832,772,784,1276,1396,330,306,721,728,1034,977,642,666,2192,2342,490,500,221,267,
1165,1191,280,284,1120,1136,38,36,19,18,57,54,76,72,95,90,114,108,396,396,
198,198,432,498,558,492,340,312,680,624,729,789,903,911,
// count=83
640,670,128,134,256,268,384,402,656,726,264,288,132,144,504,548,600,684,408,412,
720,688,312,276,724,712,362,356,532,560,668,636,600,598,68,38,40,40,80,80,
120,120,160,160,241,236,482,472,464,484,476,436,472,452,1176,1274,1165,1175,720,744,
342,318,360,372,883,838,1190,1102,1252,1322,501,504,268,284,3708,3664,92,117,195,210,
390,420,252,216,540,612,519,507,177,162,153,168,330,330,459,504,201,156,306,336,
172,163,344,326,66,58,132,116,264,232,148,146,74,73,222,219,370,365,140,133,
700,826,280,266,648,618,1092,1092,92,74,152,128,120,116,144,164,288,328,384,396,
216,184,96,68,1458,1473,387,390,362,340,412,440,437,490,724,680,48,39,96,78,
144,117,1484,1568,1004,1018,
// count=133
1996,2014,348,278,792,738,444,460,262,282,1164,1172,1112,1120,596,568,105,90,210,180,
1084,1027,1052,1086,1831,1862,784,802,1308,1308,72,108,1066,998,636,678,420,384,640,676,
1105,1075,276,312,352,400,852,832,732,690,372,396,771,720,1271,1321,614,600,501,565,
627,656,252,264,504,528,507,493,513,587,1020,1080,1112,1098,1020,1042,1624,1608,198,216,
99,108,495,540,396,432,2140,2190,477,521,1004,912,502,456,1674,1644,152,128,422,428,
574,556,79,76,158,152,395,380,237,228,316,304,60,64,120,128,180,192,240,256,
360,384,1374,1391,216,196,108,98,281,323,246,208,1300,1270,527,531,102,90,204,180,
174,198,276,288,72,108,372,420,448,425,91,69,182,138,27,18,54,36,81,54,
1320,1344,1728,1704,2120,2050,1292,1292,450,462,900,924,1128,1103,1494,1503,1470,1401,372,384,
1152,1120,636,696,404,422,656,654,804,754,1302,1290,865,882,346,361,692,722,637,625,
271,342,908,967,717,680,544,549,400,360,620,600,440,480,840,840,220,240,90,62,
1104,1092,924,968,298,310,2279,2209,1508,1532,1610,1494,378,411,420,407,840,814,144,144,
236,200,92,56,432,432,104,176,52,88,1024,938,825,836,1516,1480,132,128,264,256,
528,512,73,89,146,178,
// count=77
517,524,734,774,790,789,678,759,328,328,41,41,82,82,205,205,123,123,164,164,
1200,1190,151,113,1866,1842,2008,2114,84,72,168,144,420,400,92,112,684,664,712,718,
490,490,245,245,234,210,1476,1521,468,420,182,158,546,474,493,484,948,888,1744,1734,
276,308,636,580,456,444,1146,1178,420,420,210,210,150,114,480,516,164,188,544,526,
305,319,610,638,212,234,1096,1122,1316,1274,476,532,1318,1240,408,414,816,828,811,842,
1640,1600,60,80,1277,1333,809,769,234,282,926,910,117,141,255,240,510,480,110,111,
220,222,1716,1720,163,190,326,380,1476,1412,528,570,554,580,638,610,24,12,240,240,
432,456,168,204,216,228,192,216,144,192,48,24,642,688,
// count=75
959,974,855,919,14,15,28,30,42,45,56,60,112,120,84,90,70,75,154,165,
98,105,732,781,306,330,272,248,578,578,1928,1952,1668,1720,700,728,868,840,84,56,
120,120,240,240,600,660,1157,1138,253,242,453,522,1764,1712,1956,1822,1488,1530,142,186,
382,376,453,469,835,845,311,283,71,93,1060,1056,384,386,126,120,252,240,246,214,
258,266,270,318,264,292,396,438,120,94,132,146,138,172,644,597,321,373,249,210,
1125,1116,1834,1887,622,587,1597,1488,276,318,830,820,1496,1600,997,988,588,617,610,585,
516,476,1200,1240,275,254,601,614,927,974,1816,1762,130,172,2736,2676,1200,1268,988,920,
324,306,120,144,60,72,180,216,1030,1114,
// count=80
141,135,282,270,165,211,423,405,100,80,792,828,892,908,300,240,976,1058,130,100,
1739,1659,1852,1862,310,260,436,372,1440,1450,36,24,522,516,486,492,342,396,324,324,
252,292,648,648,576,616,2376,2458,2635,2594,135,96,468,444,936,888,800,830,160,166,
320,332,539,538,660,627,220,209,823,876,313,276,1136,1152,282,274,363,296,420,464,
412,380,260,286,672,666,2363,2289,1620,1614,552,612,444,432,784,772,392,386,196,193,
1050,1055,210,165,840,890,659,647,851,803,275,335,308,264,504,536,1624,1600,114,126,
306,282,534,534,192,156,228,252,342,378,2587,2637,83,47,444,400,857,826,542,466,
528,560,432,416,400,380,440,460,460,500,480,540,380,340,420,420,342,343,526,457,
// count=75
60,40,2463,2370,1180,1228,1000,970,198,216,354,348,396,432,156,132,594,648,240,300,
639,602,909,1002,32,18,64,36,296,307,308,265,284,349,705,726,576,534,662,662,
748,790,43,64,292,312,620,600,1104,1086,1274,1312,637,656,939,1045,282,266,257,227,
306,270,1548,1512,538,564,175,145,631,661,806,806,918,907,1036,1066,282,215,1376,1364,
1914,1782,132,158,528,514,660,672,492,512,552,544,432,480,60,32,208,234,416,468,
2178,2160,178,178,89,89,445,445,314,348,174,167,331,341,157,174,297,355,365,327,
191,160,140,181,848,890,424,445,360,360,1580,1542,378,422,1380,1476,1486,1466,632,680,
593,572,272,272,544,544,2382,2273,1440,1438,
// count=70
1792,1792,682,736,220,220,440,440,24,36,48,72,72,108,472,503,1190,1199,1258,1333,
90,78,270,234,180,156,1600,1576,165,156,330,312,90,100,180,200,680,640,917,873,
726,732,93,66,756,800,336,308,1392,1539,588,546,1200,1182,600,591,280,242,336,360,
616,602,952,962,360,336,180,168,252,234,2161,2131,36,24,834,885,1862,1746,471,494,
300,300,272,304,328,296,560,560,20,20,40,40,60,60,100,100,80,80,120,120,
556,556,640,610,1280,1220,84,54,377,325,2156,2142,210,203,1011,1045,342,398,342,402,
288,300,522,498,882,906,756,792,276,312,240,240,480,480,204,168,1513,1501,812,870,
// count=67
638,618,780,780,378,376,457,467,48,60,192,240,1736,1802,809,828,1014,1036,16,6,
302,300,604,600,200,224,404,376,102,76,400,448,502,524,1188,1200,1080,1078,1212,1282,
178,164,356,328,286,278,572,556,176,176,352,352,302,302,151,151,313,277,1072,1072,
264,252,528,504,70,70,210,210,140,140,280,280,88,80,176,160,44,40,132,120,
24,20,48,40,228,268,72,60,96,80,1134,1134,1945,1885,148,136,296,272,174,184,
87,92,348,368,261,276,2712,2742,50,67,100,134,168,168,84,84,252,252,612,617,
1284,1308,642,654,640,670,428,418,1072,1002,212,252,1508,1464,
// count=82
99,108,297,324,198,216,396,432,480,420,120,130,240,260,1473,1429,955,1059,607,622,
2368,2236,2326,2320,1314,1301,112,142,692,728,356,302,580,586,756,732,378,366,2260,2200,
20,20,40,40,60,60,80,80,100,100,140,140,2376,2456,1581,1554,823,838,680,712,
286,264,858,792,1342,1324,664,619,2056,2110,168,168,84,84,324,396,132,96,120,156,
372,408,180,154,960,1034,458,500,229,250,1996,1943,30,15,750,809,810,839,414,354,
780,768,2220,2160,198,234,1212,1188,1068,1026,708,744,822,806,57,31,1004,960,1026,981,
1280,1300,132,122,216,228,180,138,84,106,480,472,300,334,709,678,693,726,701,702,
372,378,263,268,526,536,789,804,573,589,1000,990,462,476,924,952,1848,1904,152,190,
540,600,440,416,
// count=81
213,202,426,404,639,606,558,577,676,664,1662,1658,166,142,223,230,332,284,389,372,
503,548,446,460,280,318,57,88,2540,2564,414,414,504,468,1596,1656,186,142,612,640,
984,924,329,344,247,238,82,106,165,132,391,377,316,388,549,571,158,194,104,128,
232,216,464,432,588,624,766,744,136,130,272,260,308,336,556,544,612,612,276,264,
336,348,552,528,60,84,120,168,476,476,510,459,750,711,1176,1179,426,468,1442,1496,
1300,1186,440,474,297,315,644,648,456,378,934,958,1173,1248,239,290,1660,1713,310,261,
1430,1385,710,715,189,235,882,838,1612,1680,540,552,30,18,60,36,570,570,202,198,
101,99,404,396,303,297,286,262,572,524,1146,1126,1024,1006,1206,1223,182,217,651,605,
783,797,
// count=76
126,108,252,216,420,420,551,566,420,432,1212,1200,24,20,48,40,72,60,96,80,
504,446,1406,1337,738,714,369,357,620,640,251,283,84,84,168,168,420,420,252,252,
612,563,468,504,234,252,702,756,892,824,820,840,72,92,36,46,907,889,108,138,
1283,1172,1226,1157,733,773,1307,1241,532,580,266,290,604,610,1140,1136,1854,1964,2157,2073,
368,392,184,196,120,120,240,240,210,180,330,300,360,360,300,360,150,180,90,60,
495,505,504,540,168,156,672,624,336,312,672,696,1788,1832,1016,1114,1175,1192,1883,1913,
501,457,1452,1424,422,436,76,73,152,146,268,306,344,379,228,219,304,292,192,233,
588,600,732,804,568,612,543,528,284,306,259,222,
// count=73
450,508,1392,1465,942,957,144,112,540,552,1540,1582,794,766,950,1001,414,395,78,97,
90,90,450,450,180,180,525,435,1304,1294,1300,1260,763,838,807,743,276,258,640,650,
552,516,364,392,387,366,276,312,663,678,294,294,1176,1176,303,290,750,799,210,199,
330,401,420,398,264,216,852,846,1809,1944,72,56,492,496,144,112,348,384,889,897,
1035,1097,765,740,90,90,180,180,270,270,360,360,193,199,386,398,579,597,1199,1145,
428,368,343,409,850,869,2228,2138,128,158,748,730,210,234,732,708,420,468,2328,2444,
48,29,668,636,556,552,112,84,444,468,351,372,581,536,466,454,817,826,115,82,
156,195,1028,984,560,550,
// count=83
1562,1562,708,648,108,104,36,56,180,216,180,152,144,160,216,208,252,264,324,312,
72,48,2405,2348,396,396,198,198,594,594,1308,1390,654,695,366,329,801,773,606,646,
108,114,342,306,216,228,198,264,324,342,432,456,280,310,705,669,641,607,1803,1935,
960,900,468,408,1588,1528,258,228,426,420,684,648,168,192,325,310,916,924,266,304,
591,614,110,67,338,295,346,389,228,228,456,456,575,578,606,666,690,690,1380,1380,
765,695,62,84,1426,1422,1612,1674,124,168,917,956,396,396,252,288,198,198,692,704,
428,424,856,848,868,856,560,570,364,454,1824,1844,120,102,240,204,1777,1868,254,216,
420,420,332,408,752,828,120,120,240,240,280,220,275,267,283,362,1764,1848,764,832,
788,760,1065,1053,1221,1253,
// count=67
1654,1622,636,630,552,544,1344,1316,723,809,207,169,520,520,676,584,1152,1090,244,214,
1136,1150,1712,1752,728,736,992,966,154,132,684,702,360,348,972,888,720,696,102,110,
204,220,576,560,346,260,475,394,807,876,980,896,490,448,680,676,620,640,500,568,
560,604,60,36,696,738,28,32,56,64,84,96,112,128,140,160,765,714,442,476,
42,42,84,84,126,126,368,302,376,360,188,180,564,540,127,152,254,304,2788,2880,
1224,1170,859,858,245,300,1528,1619,439,432,628,584,96,120,772,764,48,60,144,180,
192,240,1200,1188,402,366,1468,1516,212,208,424,416,264,272,
// count=131
1788,1806,1002,1002,163,219,839,826,120,144,60,72,180,216,792,835,156,184,359,387,
401,453,317,321,275,255,233,189,42,66,2724,2576,692,712,746,749,1015,1018,178,220,
1224,1267,137,161,274,322,472,440,660,660,1098,996,500,488,816,878,1702,1724,886,782,
124,120,256,222,116,138,248,240,132,102,232,276,69,75,138,150,207,225,306,297,
102,99,204,198,408,396,788,864,351,393,117,131,234,262,1264,1420,332,374,708,756,
376,382,464,398,790,805,147,164,1064,1106,420,392,1216,1178,1648,1714,162,180,414,378,
324,360,576,558,383,345,219,261,602,606,756,756,1271,1284,1818,1844,908,960,956,957,
1068,950,972,956,598,577,534,581,1368,1440,291,302,582,604,576,582,700,736,452,428,
124,154,1965,1953,250,296,1795,1732,2386,2352,731,766,611,573,220,220,440,440,104,86,
208,172,700,672,680,708,2576,2520,644,630,654,744,312,306,144,128,84,104,72,64,
216,192,156,168,168,208,240,272,228,232,946,806,1640,1680,820,840,334,356,1598,1628,
209,226,627,678,918,846,306,282,132,144,264,288,804,920,102,90,204,180,526,521,
1075,1133,811,809,1550,1580,2046,2118,1117,1123,681,689,2020,2108,640,620,564,552,721,742,
566,524,
// count=136
1458,1572,1008,927,90,129,576,582,592,564,106,98,424,392,318,294,212,196,1934,1928,
892,904,1456,1418,716,668,894,918,1332,1296,888,864,444,432,60,90,880,900,380,360,
320,270,316,366,614,544,795,784,808,836,404,418,1396,1304,73,82,219,246,146,164,
2266,2333,920,928,156,144,468,432,640,618,72,60,144,120,60,78,132,138,192,216,
204,198,264,276,324,354,216,180,783,815,1364,1294,895,895,870,920,176,158,794,774,
526,470,845,847,838,862,585,543,180,180,360,360,603,606,972,966,558,594,636,584,
920,940,516,571,550,545,242,221,464,478,222,257,180,186,417,384,237,198,360,372,
264,296,528,592,386,372,1199,1282,1093,1145,423,353,465,431,252,210,840,882,360,336,
180,216,180,168,360,384,618,575,143,151,286,302,244,214,780,780,936,988,268,280,
804,840,753,699,1974,2022,568,550,238,280,295,237,997,968,598,611,824,776,186,223,
412,388,310,300,1194,1158,852,832,332,280,520,552,282,228,1734,1746,2065,2030,662,664,
377,422,176,140,80,110,336,360,344,320,256,250,88,70,168,180,424,430,248,290,
2228,2225,1804,1854,417,387,2274,2322,212,212,424,424,1308,1268,1388,1383,80,115,2364,2429,
564,461,300,328,873,829,820,830,796,768,918,906,
// count=143
2148,2160,240,240,252,288,120,120,348,312,132,168,754,850,181,148,790,750,400,420,
268,304,1660,1750,550,508,500,504,450,500,284,246,392,409,784,818,216,216,36,36,
72,72,144,144,108,108,180,180,505,533,1332,1320,852,878,220,212,440,424,378,401,
1134,1203,263,231,1031,1042,540,540,180,216,720,756,425,452,864,912,730,728,767,831,
1644,1632,1894,1912,449,510,529,491,156,162,312,324,1198,1191,624,624,195,156,429,468,
1704,1654,1116,1112,1890,1940,990,870,462,498,1008,952,892,888,776,824,478,494,239,247,
622,574,383,327,1128,1104,564,552,496,534,2156,2162,99,105,396,420,198,210,512,444,
1180,1088,348,338,132,164,480,502,636,606,490,532,699,709,392,327,566,590,533,512,
500,434,2290,2247,1139,1086,597,610,852,864,280,320,140,160,837,872,286,284,324,288,
108,96,96,132,216,192,408,456,396,492,312,324,204,228,187,209,1168,1168,798,794,
1170,1086,186,146,225,185,490,500,715,685,1164,1212,624,624,300,264,324,360,678,769,
218,189,1285,1205,1085,1093,75,61,150,122,546,501,268,264,536,528,2388,2448,1834,1764,
644,672,1047,1029,408,408,255,306,816,816,114,134,922,955,312,270,1234,1225,176,176,
44,44,88,88,220,220,132,132,406,414,1038,1044,1220,1190,182,146,488,504,732,756,
244,252,372,384,186,192,
// count=138
2115,2030,764,709,228,274,917,1005,1227,1237,155,116,428,430,795,741,690,690,1320,1260,
1484,1458,468,474,594,516,1116,1064,136,146,272,292,1068,1068,1220,1280,534,534,384,399,
701,713,317,314,67,85,500,458,201,255,250,229,183,144,134,170,451,484,433,373,
840,882,1176,1134,168,126,914,851,108,136,1194,1222,2124,2118,1068,1134,348,278,624,676,
180,164,444,512,360,328,592,608,750,740,596,616,306,288,1188,1254,1260,1218,1476,1524,
72,102,1722,1710,456,396,1229,1211,1511,1427,1090,1076,560,560,652,592,180,160,370,350,
440,460,424,368,84,104,676,680,1167,1158,1245,1271,606,582,738,738,1013,1006,678,670,
135,156,270,312,40,50,80,100,1180,1146,619,578,156,168,780,840,540,540,696,708,
228,204,168,156,582,618,336,312,414,462,810,870,865,870,966,908,598,604,880,899,
776,804,522,468,666,684,164,188,1364,1328,492,564,2125,2069,173,215,314,332,1190,1154,
464,512,436,448,380,320,408,384,226,228,1024,1013,420,462,848,815,1216,1200,1260,1320,
546,558,336,318,210,240,2330,2344,512,464,330,286,330,330,660,660,660,704,36,30,
72,60,108,90,180,150,1272,1272,636,636,572,632,348,374,820,744,412,392,147,114,
1611,1572,672,690,1194,1164,483,449,1238,1244,346,304,372,364,250,217,
// count=83
654,642,361,376,293,266,722,752,432,414,476,502,820,740,908,916,780,780,390,390,
320,340,640,680,2051,2043,844,888,426,416,852,832,550,539,508,488,464,464,420,440,
44,24,552,512,1092,1134,1806,1764,126,168,492,512,1153,1100,844,806,472,496,236,248,
608,558,168,132,360,380,528,512,1298,1312,1344,1404,600,608,300,232,300,280,300,328,
514,454,638,626,700,712,576,540,62,86,354,359,708,718,160,180,80,90,84,72,
328,324,164,162,244,252,168,144,248,234,76,108,266,260,262,248,368,436,884,928,
546,546,349,334,698,668,180,200,147,121,360,400,1738,1714,674,674,463,463,108,120,
216,240,612,606,396,366,93,74,332,310,1044,1123,712,702,190,243,383,382,207,238,
176,144,766,764,590,620,
// count=79
1108,1072,923,896,84,78,252,234,168,156,3379,3375,906,966,1144,1126,380,384,230,207,
150,177,1242,1213,1195,1207,1595,1625,345,295,60,60,240,240,120,120,300,300,180,180,
602,644,301,322,1431,1398,1663,1575,734,746,1337,1222,2418,2462,2047,1941,77,51,1272,1320,
300,250,2524,2501,156,200,972,964,396,360,132,120,180,228,576,588,30,18,15,9,
45,27,486,492,972,984,504,480,468,504,288,317,2620,2715,1085,1015,237,267,204,168,
156,162,822,873,274,291,1244,1294,254,236,703,665,376,340,278,310,605,635,229,295,
327,325,520,482,644,672,1260,1260,560,630,1010,1042,505,521,91,92,182,184,273,276,
658,634,732,768,414,378,244,256,488,512,1398,1372,1182,1096,108,138,216,276,
// count=73
921,927,864,820,2468,2416,860,810,1040,1030,180,220,1242,1326,480,444,218,199,352,382,
570,581,436,398,788,780,536,569,313,287,849,856,840,852,823,838,318,288,108,120,
36,40,72,80,288,320,144,160,216,240,956,952,1012,1056,1072,1080,443,422,886,844,
484,496,626,539,1452,1488,394,391,508,456,280,326,300,312,856,826,91,111,182,222,
674,604,650,680,1418,1424,564,512,1804,1882,21,18,42,36,63,54,84,72,105,90,
1624,1652,812,826,468,546,156,130,312,260,780,806,306,270,180,150,60,50,120,100,
1471,1451,888,972,894,846,476,457,836,849,320,267,567,544,1424,1458,292,298,584,596,
376,442,1525,1515,576,540,
// count=77
420,368,210,184,1388,1356,426,398,300,352,847,792,298,336,149,168,1170,1107,468,483,
2226,2233,268,294,76,94,152,188,172,232,432,472,260,240,340,354,655,634,315,280,
1094,1068,134,155,539,572,616,616,1232,1232,77,44,460,420,427,398,164,158,328,316,
851,857,154,194,543,469,697,663,850,884,370,356,680,720,1360,1440,129,127,258,254,
387,381,516,508,402,450,428,440,472,448,856,880,384,432,1282,1242,811,823,2310,2310,
255,266,765,798,14,14,28,28,84,84,42,42,56,56,70,70,98,98,112,112,
404,416,620,582,492,516,396,348,330,368,900,861,8046,8294,21,34,63,102,42,68,
204,204,284,316,444,540,408,408,80,112,328,296,2761,2761,
// count=80
3095,3098,120,88,376,368,752,736,340,310,430,430,90,120,602,618,283,263,566,526,
1672,1760,232,232,696,696,464,464,95,119,1967,1955,190,238,666,690,240,240,720,680,
240,200,480,440,480,520,240,280,414,429,288,270,126,159,224,233,448,466,896,932,
119,134,238,268,1644,1624,1687,1684,495,489,656,688,430,412,215,206,1760,1840,774,733,
540,460,407,466,665,640,579,582,493,524,86,58,150,138,300,276,84,72,252,216,
168,144,210,258,294,330,378,402,462,474,990,972,1998,1962,666,654,904,882,246,241,
170,205,416,446,662,687,866,852,831,762,108,88,240,230,480,460,404,428,328,396,
164,198,1296,1302,1260,1320,744,816,1344,1344,300,264,724,696,160,152,80,76,240,228,
// count=74
204,245,1428,1484,1224,1239,1020,994,372,384,744,768,1626,1620,590,540,295,270,1445,1490,
612,612,420,480,92,96,184,192,368,384,588,590,820,789,1046,966,226,177,317,320,
634,640,732,708,304,340,152,170,336,330,184,160,488,500,132,168,1040,1040,776,704,
636,668,420,370,108,96,846,882,216,192,132,144,264,246,396,390,264,288,132,102,
1074,1086,1144,1108,286,277,572,554,140,112,860,864,1076,1046,1136,1082,956,974,896,938,
965,1014,791,773,1364,1288,1136,1088,656,752,1044,1091,540,480,1108,1048,1267,1242,1312,1404,
1660,1648,690,745,108,134,124,128,248,256,372,384,326,284,1268,1232,414,414,674,725,
530,511,313,302,557,590,626,604,
// count=76
569,562,499,464,70,98,540,520,1080,1040,630,598,415,447,165,165,70,98,95,67,
260,232,305,361,425,397,774,744,48,40,72,60,24,20,312,364,96,80,927,1063,
937,967,1326,1321,1330,1355,1322,1287,1334,1389,668,655,270,264,540,528,364,374,740,760,
1180,1156,1286,1320,299,315,598,630,1203,1289,1519,1477,79,47,298,318,726,664,180,216,
948,928,150,144,300,288,450,432,900,920,276,282,392,354,1056,965,60,40,180,200,
300,280,480,480,360,320,240,240,116,134,288,282,172,148,460,430,404,416,464,437,
906,960,1415,1396,696,712,348,356,436,408,970,908,1740,1720,652,684,332,288,328,324,
324,360,804,888,879,885,561,591,318,294,636,588,
// count=67
748,742,840,818,1614,1558,351,357,702,714,1053,1071,1801,1678,328,304,92,116,256,268,
164,152,184,232,236,188,72,36,223,211,388,356,1255,1280,108,88,429,438,858,876,
249,198,1800,1836,720,684,741,769,250,270,434,420,198,240,749,692,38,47,76,94,
114,141,152,188,552,592,276,296,665,634,280,280,560,560,752,830,134,110,635,664,
552,546,276,273,317,286,1241,1277,1380,1432,762,824,860,872,204,204,42,56,84,112,
728,664,182,166,364,332,417,441,696,654,516,534,852,819,486,468,367,404,264,240,
528,480,526,479,372,369,898,848,590,628,744,738,196,178,
// count=146
504,462,210,210,294,252,968,952,876,944,2721,2830,70,50,776,830,1023,989,72,94,
1311,1365,272,328,576,558,192,186,384,372,235,218,1197,1252,705,654,156,144,312,288,
327,321,1063,992,1056,1064,1164,1136,619,615,564,641,473,458,584,608,126,129,504,516,
630,645,44,32,132,96,88,64,628,666,244,228,488,456,102,126,858,834,204,252,
1220,1264,136,119,795,759,1373,1433,634,629,444,472,1078,1101,540,540,46,58,356,308,
448,424,138,174,494,482,92,116,2190,2250,679,652,124,104,248,208,1189,1189,402,428,
201,214,360,306,90,114,540,534,450,420,430,442,664,648,996,972,332,324,1282,1364,
808,821,196,224,392,448,1566,1560,455,509,228,232,48,68,180,164,96,136,276,300,
312,260,132,96,384,393,349,304,420,480,800,810,1764,1816,306,306,612,612,493,521,
440,410,380,380,500,440,640,700,320,350,60,30,198,196,366,354,372,336,744,672,
288,252,756,828,134,131,402,393,345,314,1496,1496,912,990,1410,1422,1404,1404,702,702,
556,524,398,447,1380,1405,1524,1483,998,1006,509,463,450,439,336,350,114,89,222,261,
564,528,150,162,300,324,3419,3549,1236,1216,764,832,426,468,67,46,493,514,627,606,
560,560,920,940,540,600,357,319,292,250,688,726,472,510,236,255,961,1014,980,930,
396,420,40,28,476,476,80,56,316,364,900,864};

unsigned int count1[1667+1667+3333+3333]={
// numbc=67
1,2,4,2,2,4,1,3,2,1,1,1,2,2,3,1,2,5,1,3,
1,2,1,1,2,2,2,3,2,2,6,2,3,1,2,1,1,1,3,1,
2,1,2,6,3,1,1,2,1,2,2,3,1,3,1,1,2,2,1,2,
4,1,1,3,2,2,2,
// numbc=67
2,2,4,2,2,1,2,1,2,2,4,2,1,2,3,2,4,6,1,1,
1,4,2,2,2,1,1,1,1,1,3,2,2,1,2,1,1,1,3,3,
7,5,3,1,2,2,2,2,2,1,1,5,2,2,4,1,1,1,1,2,
1,3,1,2,3,5,3,
// numbc=66
2,1,1,3,2,1,1,2,1,3,1,2,2,2,9,1,3,1,1,1,
2,3,1,2,2,1,1,2,2,4,2,2,2,2,3,1,2,2,1,4,
4,4,1,1,3,1,1,1,4,1,2,1,3,3,2,2,1,2,3,4,
2,3,1,4,3,2,
// numbc=67
3,1,2,3,5,3,2,1,1,4,2,4,1,1,1,1,4,2,2,4,
1,1,1,1,1,2,5,3,2,1,1,1,1,2,1,3,2,4,1,1,
2,1,2,1,1,3,1,2,1,1,2,3,4,3,7,2,2,2,3,3,
1,1,4,1,1,2,2,
// numbc=67
8,2,2,2,4,2,2,1,3,2,3,4,3,1,1,5,3,1,4,2,
2,2,2,3,2,1,1,2,1,3,1,2,5,2,2,3,1,1,2,2,
4,5,1,1,1,1,1,2,3,1,1,2,1,3,1,2,4,1,1,1,
1,7,1,3,2,1,2,
// numbc=66
2,2,6,2,2,3,2,1,1,3,1,2,2,3,3,2,2,1,1,2,
3,2,2,6,1,5,1,1,3,2,1,4,1,3,1,3,2,2,2,1,
2,1,1,1,1,2,2,1,1,3,2,5,2,2,3,1,1,1,1,1,
2,3,1,1,7,3,
// numbc=67
2,1,2,3,2,1,1,1,4,1,2,7,1,6,1,1,1,3,1,2,
2,1,1,2,2,1,2,5,4,2,2,1,1,2,2,2,2,2,2,1,
3,3,1,4,1,3,1,1,3,1,2,2,4,1,1,2,1,2,2,4,
1,3,1,4,3,2,3,
// numbc=33
2,3,2,2,1,3,1,3,2,2,1,8,2,1,3,2,2,2,2,2,
3,1,5,1,6,1,2,1,4,3,1,2,3,
// numbc=34
1,2,3,2,2,7,10,3,1,1,3,1,2,1,1,5,1,1,7,2,
2,2,2,5,2,6,1,2,1,1,1,3,1,1,
// numbc=66
4,2,1,3,2,3,3,1,1,3,1,2,2,2,3,1,1,3,4,3,
2,2,3,2,2,5,2,3,2,2,1,3,1,6,2,1,2,1,4,1,
1,2,2,2,1,3,1,5,2,5,1,2,3,6,2,1,2,4,1,1,
3,3,2,6,3,2,
// numbc=67
1,1,1,2,1,4,3,1,4,4,2,4,1,5,1,1,1,1,2,2,
3,1,1,1,5,1,2,2,2,1,2,2,2,1,5,3,1,2,2,1,
2,3,2,2,1,2,6,1,1,1,5,5,1,1,2,2,2,1,2,11,
7,1,1,3,2,3,1,
// numbc=33
2,5,2,5,6,1,1,10,2,2,2,3,2,1,3,2,2,1,1,2,
2,4,3,4,1,1,1,11,2,3,2,2,7,
// numbc=34
1,1,1,1,2,2,1,2,6,2,2,1,2,1,1,6,6,2,2,3,
1,5,1,2,4,2,1,2,1,1,2,9,2,6,
// numbc=66
1,2,1,1,4,2,1,2,1,1,6,1,5,4,6,2,7,2,1,1,
3,9,1,1,2,2,1,1,2,3,2,1,1,2,1,1,1,2,2,1,
1,1,2,1,5,2,1,10,2,2,1,6,2,1,5,3,5,1,1,1,
1,2,2,4,1,3,
// numbc=67
2,1,2,5,2,4,1,1,1,3,2,2,1,1,4,1,1,1,3,5,
1,1,2,1,2,2,1,2,6,2,3,1,5,1,2,3,1,1,1,1,
1,2,1,3,1,2,1,4,2,1,1,2,2,1,2,2,2,6,1,4,
5,6,1,1,1,2,2,
// numbc=67
3,4,3,2,1,2,1,1,3,1,4,3,1,2,2,2,2,5,3,4,
5,1,3,4,5,2,1,2,2,1,1,3,1,2,3,1,3,2,3,2,
3,3,2,1,1,2,1,1,3,1,3,1,3,3,1,2,2,1,5,5,
3,1,2,2,3,1,1,
// numbc=33
1,1,1,1,1,3,2,3,2,1,1,3,6,3,6,1,6,2,3,2,
3,5,2,2,3,3,3,1,4,2,1,2,2,
// numbc=33
1,1,2,2,3,5,2,1,1,1,5,4,6,1,6,3,1,1,2,3,
2,4,1,1,1,1,3,1,1,2,2,3,1,
// numbc=67
1,2,2,2,3,2,1,5,1,1,2,3,1,2,1,1,4,2,5,6,
1,1,1,1,9,1,2,2,5,3,1,1,1,1,2,2,1,2,3,3,
1,1,2,9,2,1,4,3,1,3,4,3,2,1,6,1,1,3,2,3,
1,1,1,1,2,3,3,
// numbc=67
10,1,1,2,2,2,2,2,6,2,1,4,1,2,1,1,1,1,3,1,
1,1,1,2,3,1,2,3,2,1,1,1,3,1,2,2,1,4,4,2,
2,2,2,1,3,2,1,2,2,1,1,1,3,1,2,4,1,4,1,1,
2,8,1,1,11,2,1,
// numbc=66
1,3,2,2,3,5,1,3,3,2,1,2,3,1,4,1,1,1,3,1,
1,2,4,2,2,1,1,1,3,1,1,1,1,1,3,2,4,2,1,1,
1,2,1,1,2,1,1,1,2,4,1,2,2,2,2,1,1,3,3,1,
2,1,1,4,6,1,
// numbc=67
1,1,2,2,3,1,2,2,2,6,3,2,2,1,1,2,2,2,5,8,
3,1,6,2,2,4,1,2,3,1,2,1,1,1,2,2,1,1,2,2,
1,1,2,8,1,1,3,3,1,2,3,3,1,3,3,2,3,1,2,6,
2,1,3,1,1,1,3,
// numbc=67
3,6,3,2,1,2,1,1,2,1,1,2,3,3,2,3,2,3,1,1,
2,4,1,2,3,1,1,2,2,1,5,2,1,2,2,2,3,1,2,4,
3,1,2,2,1,1,2,2,5,2,2,4,2,4,1,1,2,2,3,2,
3,1,3,2,2,2,1,
// numbc=66
1,2,1,8,2,3,1,3,1,4,1,5,2,2,1,1,2,2,2,1,
2,1,1,1,1,1,3,3,1,4,1,8,4,1,2,1,1,6,1,2,
2,1,1,2,2,3,1,1,2,1,1,2,3,2,5,1,1,2,1,2,
2,4,3,4,2,3,
// numbc=67
1,2,2,2,1,1,2,3,1,3,1,2,1,2,2,2,1,2,1,2,
4,1,2,3,2,4,1,5,2,1,1,1,2,2,1,3,2,1,2,1,
1,2,2,3,6,3,1,2,1,8,4,5,1,2,1,2,3,4,2,2,
1,2,2,1,1,2,8,
// numbc=67
2,3,1,2,3,1,1,3,3,1,2,1,2,1,2,2,4,1,1,1,
1,2,2,1,2,4,2,1,1,1,4,4,3,2,2,1,1,1,1,1,
2,5,2,2,2,1,1,3,3,2,1,7,3,2,5,2,2,1,1,5,
5,3,2,3,7,4,3,
// numbc=66
2,1,2,1,2,2,2,1,1,2,2,3,1,2,2,1,1,1,1,1,
2,1,1,2,4,1,4,1,1,3,1,1,1,3,2,1,1,3,1,2,
3,2,1,2,1,3,1,1,1,1,4,1,2,5,3,2,2,2,2,1,
2,3,3,3,3,2,
// numbc=67
2,6,4,3,1,2,2,1,6,2,2,3,1,3,1,1,2,3,2,1,
2,1,3,1,1,2,3,2,2,1,1,4,2,1,3,2,2,3,2,1,
4,3,1,3,2,3,2,1,8,2,3,1,2,1,1,4,1,4,2,7,
3,2,5,2,1,2,3,
// numbc=67
2,3,1,1,1,2,1,3,2,2,1,1,1,1,1,2,2,2,2,4,
1,1,1,2,2,2,1,1,1,6,2,5,2,3,1,2,2,1,2,2,
1,8,1,1,1,2,2,1,2,1,3,1,1,1,1,2,2,1,5,2,
2,2,2,2,2,2,2,
// numbc=66
1,3,1,1,5,3,2,1,2,3,1,2,1,2,4,1,2,1,3,3,
3,6,1,1,4,1,1,2,1,4,1,2,1,1,1,1,1,2,2,2,
1,7,1,2,7,2,1,1,1,2,1,1,3,2,7,1,2,1,1,4,
2,2,1,1,2,1,
// numbc=67
1,1,1,4,1,1,1,1,5,1,1,8,2,4,3,2,1,2,2,2,
1,5,1,1,2,2,2,4,2,2,1,2,2,2,2,3,2,1,2,6,
2,1,2,3,2,1,1,1,4,1,2,2,1,2,7,2,1,1,1,4,
1,1,2,1,2,2,2,
// numbc=67
3,5,1,2,2,2,1,3,1,2,1,7,2,1,4,2,3,1,1,1,
1,7,1,2,4,2,2,1,1,2,3,1,1,6,3,1,3,1,3,3,
3,3,3,3,3,1,2,2,4,1,2,2,2,4,1,3,2,2,2,2,
2,3,1,2,2,1,1,
// numbc=66
1,2,1,2,2,1,7,1,2,9,1,3,2,1,3,4,1,1,3,1,
1,2,1,2,1,2,2,1,4,2,4,2,1,1,5,2,5,1,1,2,
1,2,1,1,2,3,1,2,3,1,2,1,2,7,2,1,1,4,1,1,
3,2,1,2,1,2,
// numbc=67
1,3,2,2,1,2,2,1,2,1,1,2,1,1,4,1,1,1,3,2,
1,1,2,1,1,2,2,2,7,1,1,2,1,1,1,2,1,2,3,1,
1,2,2,1,1,1,4,3,6,1,2,4,2,1,1,1,1,4,1,3,
2,2,2,1,2,2,4,
// numbc=67
4,4,1,1,3,3,1,1,1,1,1,3,1,2,2,2,4,2,3,1,
2,4,1,2,2,2,7,2,5,4,1,2,3,1,1,2,1,2,2,2,
2,3,5,2,1,1,3,2,2,2,1,1,3,2,1,1,5,2,2,1,
3,1,2,2,2,5,1,
// numbc=66
1,7,1,6,9,3,1,3,1,1,2,1,2,3,1,1,3,1,1,1,
7,3,3,2,2,1,5,2,3,3,1,2,2,1,4,1,1,1,5,1,
3,1,2,3,2,2,1,1,2,1,1,1,3,3,2,2,4,2,5,3,
3,1,2,1,2,2,
// numbc=67
3,1,3,3,2,3,1,3,1,8,2,2,2,1,1,1,1,1,2,2,
1,3,2,1,2,2,2,1,8,1,1,1,1,2,2,3,1,4,3,1,
7,2,1,1,2,5,2,7,1,1,4,2,1,1,6,4,2,1,1,1,
1,2,1,1,2,1,3,
// numbc=67
4,2,3,1,2,5,1,3,5,1,5,3,1,2,2,2,4,1,2,1,
1,1,4,3,2,1,4,1,1,3,1,3,1,3,2,2,1,1,2,2,
8,5,3,1,3,5,1,2,5,1,7,1,1,2,2,1,2,5,1,2,
2,2,2,2,3,1,1,
// numbc=66
1,1,1,3,3,2,1,1,4,2,3,3,2,2,2,1,1,1,2,3,
2,5,2,1,1,1,1,3,2,3,1,2,2,5,5,1,1,3,2,3,
2,1,2,1,2,2,1,2,1,4,1,2,2,7,4,2,1,1,2,1,
2,1,2,2,1,3,
// numbc=67
1,2,2,2,1,1,3,1,1,2,3,2,1,1,2,3,1,1,2,1,
1,3,1,1,2,5,3,2,8,12,1,1,1,2,3,4,3,8,2,1,
1,2,2,4,1,1,2,2,3,1,1,2,2,1,4,1,1,1,3,2,
2,1,1,1,2,4,2,
// numbc=67
3,4,3,1,1,1,2,2,5,1,1,2,2,10,6,1,3,2,3,3,
2,1,2,6,2,1,1,1,2,1,1,2,1,3,2,3,2,1,3,2,
3,3,2,4,2,1,2,1,1,1,1,2,2,1,1,2,3,1,2,4,
1,3,2,8,1,1,2,
// numbc=66
3,2,3,1,4,2,2,4,4,2,1,2,2,2,4,1,1,1,2,2,
1,2,2,4,2,1,1,1,2,3,3,1,2,4,1,1,1,2,4,1,
1,1,1,1,2,4,1,1,2,2,1,2,2,1,5,1,3,1,4,6,
2,3,2,8,1,1,
// numbc=67
3,3,2,10,1,3,1,2,2,2,2,5,2,1,2,1,1,1,5,3,
2,1,1,2,1,2,5,2,4,2,2,1,1,1,3,2,1,1,1,5,
1,2,1,3,3,5,3,2,4,3,2,3,4,5,1,2,1,3,2,5,
6,2,1,1,3,2,3,
// numbc=67
2,6,1,5,4,1,1,2,1,2,2,2,3,1,1,2,3,1,2,1,
3,11,2,1,4,2,1,1,7,5,1,6,2,1,1,2,2,2,3,3,
2,1,3,2,1,1,1,2,1,2,1,5,1,2,1,2,3,1,4,1,
2,4,2,3,3,1,1,
// numbc=66
1,1,1,2,3,2,2,2,2,1,1,2,1,1,6,1,1,1,1,1,
1,2,1,1,7,1,3,1,3,2,1,3,2,1,1,2,2,4,1,2,
2,3,5,2,1,5,1,1,2,2,2,2,2,2,4,1,2,4,1,1,
2,3,1,3,3,1,
// numbc=67
2,9,2,3,2,1,4,2,1,1,3,2,1,1,2,4,2,2,4,1,
1,2,1,2,2,3,2,2,3,1,1,2,1,2,1,3,1,1,2,1,
7,1,1,2,3,2,1,1,2,1,3,3,1,1,3,2,1,2,2,3,
4,2,1,5,3,4,3,
// numbc=33
2,5,2,2,1,3,2,2,2,1,2,2,4,1,3,3,3,1,1,1,
6,2,3,2,4,7,2,1,2,1,3,2,6,
// numbc=34
5,3,1,1,3,6,1,4,3,2,10,3,1,3,1,2,1,1,3,4,
6,1,4,1,1,1,1,3,4,1,1,6,1,2,
// numbc=66
1,1,2,2,2,2,2,2,1,1,2,2,1,2,4,5,1,4,1,2,
2,3,1,2,3,1,2,1,2,1,1,4,2,2,2,4,4,4,5,1,
2,4,1,1,2,2,1,3,3,3,2,2,4,2,5,3,2,1,1,2,
2,2,2,3,7,5,
// numbc=67
2,3,2,2,1,1,2,2,2,4,2,4,1,1,2,1,3,2,5,2,
3,2,2,3,1,3,7,2,3,1,1,2,3,1,2,1,4,1,1,3,
5,1,2,3,2,4,1,1,3,1,2,1,1,1,2,3,5,1,1,2,
1,2,1,3,1,2,1,
// numbc=67
1,7,1,2,1,1,2,1,4,1,1,2,2,1,5,2,8,3,2,1,
3,2,1,3,3,1,1,1,5,4,1,2,2,1,7,1,1,1,4,2,
2,3,1,1,5,1,2,3,1,3,2,3,2,2,2,2,4,2,1,1,
1,1,2,2,3,2,1,
// numbc=66
1,2,2,2,2,3,2,1,1,1,1,2,2,3,2,1,1,2,2,3,
2,2,4,5,2,3,1,3,2,8,3,2,3,1,2,1,2,6,1,1,
2,4,1,1,3,2,4,2,5,1,4,1,1,3,7,1,2,4,4,5,
2,2,1,1,2,3,
// numbc=67
1,2,2,2,1,1,1,1,2,2,1,2,4,6,2,3,2,2,1,2,
2,1,2,2,2,1,3,1,1,2,1,3,1,1,2,2,4,1,4,2,
1,1,2,1,2,5,4,1,2,1,2,4,2,1,1,4,1,1,2,3,
4,1,1,3,3,2,1,
// numbc=67
4,2,4,1,1,1,2,1,1,1,4,4,1,1,1,2,2,1,1,3,
1,2,1,2,2,7,2,2,3,1,2,3,5,1,1,1,1,1,2,3,
2,3,1,2,8,1,1,1,2,1,2,1,4,2,2,2,2,2,5,1,
3,1,2,1,2,3,2,
// numbc=66
2,1,1,3,2,4,2,1,2,2,1,2,3,2,6,2,1,1,1,3,
2,4,1,1,1,1,5,2,4,3,2,2,2,4,3,2,2,2,1,1,
3,1,1,1,4,3,1,1,2,1,2,4,3,2,4,1,2,1,2,2,
2,3,4,4,2,4,
// numbc=67
1,6,2,2,1,2,2,2,1,3,2,1,1,1,1,2,1,1,2,2,
1,1,1,3,1,6,2,2,5,1,2,2,3,1,1,3,1,2,2,2,
3,2,4,2,2,2,3,2,1,1,2,4,1,2,3,2,1,2,4,2,
1,5,1,2,2,2,3,
// numbc=67
3,5,1,4,3,2,1,1,2,1,1,1,1,2,1,2,2,3,1,3,
1,4,4,2,3,2,4,1,1,2,1,2,3,2,2,2,3,1,2,2,
1,6,1,6,1,1,3,3,3,2,4,7,2,2,1,2,3,3,2,4,
5,1,3,1,2,5,1,
// numbc=66
2,2,1,1,2,3,2,3,2,1,2,1,2,1,2,2,1,3,1,3,
3,10,1,1,4,1,1,1,1,1,3,2,2,1,2,3,3,1,2,1,
2,1,1,4,4,2,5,1,1,1,2,2,4,3,5,3,1,3,1,1,
1,2,2,1,5,2,
// numbc=67
3,1,2,3,1,2,1,3,2,1,3,1,1,1,2,2,1,1,3,5,
1,1,2,2,1,2,1,3,2,1,2,1,1,3,2,3,1,1,1,1,
1,3,1,2,1,5,1,5,2,1,2,1,2,2,1,3,4,2,1,6,
1,4,2,2,1,6,2,
// numbc=33
2,6,1,4,1,1,1,2,3,2,1,1,1,2,2,1,2,4,5,6,
3,2,10,1,2,1,3,1,1,1,1,1,4,
// numbc=34
1,4,3,2,3,2,1,2,3,3,1,3,1,1,1,3,2,3,1,1,
1,2,5,3,1,2,2,1,7,4,3,3,2,1,
// numbc=66
1,4,3,2,5,5,2,1,1,1,1,8,4,2,3,2,1,3,2,1,
8,4,1,1,2,3,1,1,1,2,1,2,1,2,4,1,2,2,2,3,
3,1,2,1,3,3,1,1,1,2,1,3,2,3,2,2,1,1,1,2,
2,4,2,2,3,1,
// numbc=67
1,2,1,2,1,1,3,1,3,1,1,2,7,1,2,3,1,2,2,3,
2,2,1,1,3,1,3,5,4,1,1,2,1,3,1,1,2,3,6,1,
3,2,3,3,1,1,2,3,2,1,3,3,2,2,1,2,1,4,3,3,
2,2,3,1,1,1,4,
// numbc=67
4,4,3,1,1,3,2,2,3,1,6,3,2,2,6,1,2,1,2,1,
2,2,2,3,2,1,6,7,2,2,1,2,2,1,1,2,2,2,2,4,
3,3,1,3,2,2,1,3,2,1,2,3,6,1,1,3,2,1,1,1,
1,2,1,4,3,8,1,
// numbc=66
2,1,7,2,1,2,1,3,3,1,3,1,2,3,2,1,2,3,2,1,
2,2,1,3,4,1,1,1,3,2,1,5,1,1,1,2,2,6,1,1,
2,3,1,1,7,5,1,1,1,1,1,2,2,2,6,1,1,2,2,1,
2,4,2,6,2,1,
// numbc=67
1,2,1,2,4,2,1,4,4,2,1,3,2,3,2,5,1,1,2,2,
1,2,1,4,2,2,2,4,1,3,1,6,1,3,2,1,3,2,3,1,
1,1,2,2,3,1,1,1,3,2,6,3,1,3,1,2,1,1,6,2,
8,2,2,8,1,3,2,
// numbc=67
3,6,1,2,2,1,2,2,3,1,2,1,1,1,4,2,2,2,3,1,
2,1,1,3,3,1,1,2,2,3,1,2,3,1,4,1,1,3,3,1,
6,2,5,2,1,3,1,2,3,1,1,7,3,1,1,3,3,1,1,1,
4,1,2,2,2,2,2,
// numbc=66
1,1,2,6,2,2,1,2,1,1,5,2,2,4,2,1,1,2,1,1,
2,3,1,2,1,1,3,2,3,2,2,3,1,2,3,1,6,2,3,1,
2,2,1,1,1,2,2,3,4,1,2,6,2,2,2,1,1,1,1,2,
5,1,1,1,1,2,
// numbc=67
2,3,4,2,1,3,1,5,1,2,1,4,1,1,7,1,2,1,3,5,
2,3,3,1,1,2,2,1,2,1,1,3,3,2,3,6,4,1,3,1,
1,1,2,2,1,1,3,1,6,2,2,2,1,1,1,1,1,2,3,4,
1,1,1,2,1,4,2,
// numbc=67
3,2,2,1,1,2,1,5,4,3,2,5,1,2,2,2,3,2,2,4,
1,1,2,2,2,1,1,2,2,1,1,1,2,2,2,3,1,1,4,2,
2,1,1,3,1,2,1,4,15,1,2,7,2,2,1,2,3,2,1,2,
1,3,1,2,2,1,2,
// numbc=66
1,2,1,3,2,1,4,2,7,2,1,2,1,2,8,1,1,2,1,1,
2,2,1,5,1,1,1,4,2,4,1,1,2,1,3,1,2,1,2,2,
1,2,3,1,3,4,3,4,6,2,2,2,2,2,5,1,2,1,2,1,
8,2,2,1,4,2,
// numbc=67
2,1,1,1,3,5,1,2,1,3,3,6,3,3,1,2,1,2,1,2,
2,1,1,1,1,2,2,2,5,2,2,5,2,1,2,7,1,1,2,3,
2,3,1,3,2,3,1,3,5,1,3,2,1,3,2,1,2,2,3,2,
1,1,2,1,5,1,2,
// numbc=67
2,4,1,1,2,1,2,2,3,1,1,3,1,4,1,3,3,1,1,1,
3,3,3,1,5,1,1,1,2,3,2,3,2,1,5,1,4,3,2,4,
2,4,1,3,1,1,3,1,4,1,2,2,1,1,3,3,3,1,1,2,
3,3,3,2,2,1,1,
// numbc=66
4,5,1,2,1,2,1,1,3,4,2,4,2,1,1,1,3,2,7,2,
2,9,1,2,1,1,3,6,2,1,5,1,5,1,2,1,2,2,1,1,
2,3,3,5,2,1,1,1,2,2,1,4,1,3,2,1,2,4,1,1,
3,3,2,1,2,4,
// numbc=67
2,2,2,2,2,2,1,7,3,2,4,5,1,2,1,3,4,2,5,4,
1,2,1,1,1,3,1,4,10,1,1,1,3,2,2,7,2,1,1,1,
1,2,4,3,2,1,1,2,3,3,3,4,2,2,6,2,1,1,2,5,
7,2,2,1,2,2,2,
// numbc=33
3,5,2,1,1,1,2,3,2,3,2,1,1,2,1,2,3,1,4,2,
2,2,1,4,4,1,1,1,2,1,4,8,5,
// numbc=34
1,2,1,6,1,2,2,2,2,2,1,2,1,1,3,2,1,3,3,2,
4,1,2,3,1,8,1,2,1,1,1,3,1,3,
// numbc=66
2,2,1,1,2,1,1,1,3,1,3,3,2,2,5,1,2,1,1,2,
2,3,1,2,1,1,2,1,2,3,4,3,2,1,2,1,2,2,1,1,
2,2,1,3,2,4,3,5,1,1,1,2,2,5,3,1,1,2,1,3,
1,2,1,2,1,5,
// numbc=67
1,1,2,2,2,1,2,2,3,1,1,1,1,2,2,1,1,1,6,2,
3,1,1,1,2,3,2,2,3,7,7,4,1,1,2,2,1,3,1,1,
1,1,2,2,1,6,2,1,3,1,1,2,1,1,1,3,1,1,2,3,
2,2,2,2,1,1,2,
// numbc=67
3,4,6,1,2,1,4,2,3,1,2,1,1,3,2,6,2,1,1,1,
2,4,1,2,4,2,1,1,2,1,1,1,2,1,1,1,2,1,2,2,
4,2,4,1,2,2,1,4,5,2,1,5,2,1,2,3,2,1,3,1,
1,2,2,2,2,1,3,
// numbc=66
1,2,2,1,2,2,1,2,1,1,2,3,2,4,4,5,3,2,2,2,
2,2,1,1,3,7,3,2,3,4,2,1,2,1,1,6,2,2,2,1,
1,2,3,2,3,2,4,1,1,2,1,2,2,1,2,1,3,4,1,1,
1,3,1,2,2,8,
// numbc=67
2,2,1,2,1,2,5,1,1,2,3,1,2,5,2,4,1,1,1,1,
1,2,1,2,1,2,3,1,4,1,1,1,1,2,4,2,1,2,3,2,
2,1,2,2,1,2,1,2,4,2,3,5,2,2,1,2,1,1,1,2,
1,2,1,7,1,2,3,
// numbc=67
2,3,1,4,1,1,6,2,3,1,2,2,1,3,1,1,1,2,2,2,
2,1,8,4,2,3,1,2,3,4,2,2,1,2,1,1,4,1,3,8,
4,4,1,1,1,6,3,1,2,1,1,6,2,1,1,4,2,1,1,1,
2,1,1,2,3,1,4,
// numbc=33
1,4,2,2,2,2,1,1,1,1,3,2,2,2,3,1,2,1,2,2,
15,3,1,3,1,1,4,2,2,4,2,3,3,
// numbc=33
2,1,3,2,2,1,2,2,5,2,3,3,3,1,1,2,1,3,6,4,
4,4,2,1,2,2,1,2,1,1,4,3,1,
// numbc=67
1,2,2,3,2,1,1,3,1,2,2,2,2,2,1,1,3,5,2,3,
1,1,1,1,2,4,2,1,4,3,2,1,3,2,2,3,2,1,5,1,
3,1,1,3,2,3,1,2,3,5,2,3,2,1,1,2,6,1,3,4,
2,1,2,2,1,2,3,
// numbc=67
2,1,1,4,2,1,1,2,6,1,1,1,2,3,1,2,1,1,4,2,
2,2,1,1,1,7,5,1,3,1,3,2,3,2,1,1,1,2,1,2,
3,1,1,1,1,1,2,6,2,1,2,1,4,2,2,2,3,6,2,1,
2,3,2,2,2,2,2,
// numbc=66
1,2,2,2,3,2,2,2,1,1,1,2,2,1,5,3,1,2,2,2,
2,2,1,2,3,1,1,1,4,4,2,2,3,1,4,1,4,3,2,2,
2,2,1,2,1,2,4,1,2,3,2,2,3,3,5,1,1,5,2,1,
1,2,2,2,2,1,
// numbc=67
1,5,2,2,1,2,2,2,1,2,2,10,1,1,1,2,2,2,3,5,
1,2,3,1,1,3,3,2,3,2,1,1,1,2,2,3,1,1,2,3,
1,1,5,2,3,5,2,3,2,3,1,2,1,6,1,3,1,1,2,1,
1,1,2,1,1,2,3,
// numbc=67
5,2,1,3,1,2,1,3,3,1,1,4,6,1,2,2,4,1,1,1,
1,1,1,3,1,1,2,3,2,1,6,2,2,1,2,1,1,5,2,4,
2,2,5,1,2,1,2,2,2,3,3,6,1,1,2,3,2,2,1,1,
3,2,1,2,4,3,1,
// numbc=66
1,1,7,3,3,8,8,1,2,1,4,3,2,3,4,1,2,2,3,1,
2,2,1,1,1,1,1,1,3,3,2,3,1,3,1,1,1,2,1,1,
2,1,1,3,3,1,1,1,1,2,1,4,2,3,4,1,1,1,1,2,
1,6,1,1,1,3,
// numbc=34
2,1,1,3,1,4,1,5,2,4,2,3,1,1,1,1,2,1,2,8,
3,4,2,2,1,2,1,3,2,3,2,1,3,2,
// numbc=33
2,3,1,1,2,2,6,1,2,2,2,1,1,2,2,3,3,3,1,2,
16,1,1,1,2,1,2,3,2,3,1,3,2,
// numbc=33
3,3,2,1,2,4,2,5,1,5,2,2,1,1,3,2,1,2,2,2,
10,5,1,2,2,2,1,1,1,5,1,2,1,
// numbc=34
5,2,4,2,1,3,2,2,3,4,1,1,2,1,3,5,1,1,1,1,
2,2,2,4,3,3,1,1,6,1,7,3,1,5,
// numbc=33
2,2,1,3,4,2,3,1,3,3,1,3,4,3,2,2,1,1,1,3,
1,1,2,1,1,1,1,7,3,2,2,7,2,
// numbc=33
2,5,1,2,2,1,1,1,4,2,2,3,1,3,1,2,2,2,2,2,
3,4,1,3,1,2,1,3,3,4,3,3,3,
// numbc=67
2,1,2,3,1,1,2,2,2,1,3,5,1,1,2,1,1,3,1,2,
1,1,3,3,1,2,1,1,3,1,1,5,1,1,1,3,1,1,2,1,
2,1,3,4,2,3,2,1,2,1,4,2,2,1,1,3,2,2,2,2,
2,1,1,1,3,2,2,
// numbc=67
3,2,2,1,1,4,1,2,4,2,1,1,1,1,1,2,3,3,2,4,
1,3,4,2,5,2,2,1,7,3,2,2,2,1,2,2,4,2,3,2,
3,3,4,1,2,3,1,2,3,3,1,1,4,2,5,1,2,1,3,2,
1,5,3,3,2,3,2,
// numbc=33
1,4,1,3,8,3,3,8,2,1,1,6,1,3,3,1,1,1,3,3,
2,2,1,6,1,2,1,3,2,3,1,1,2,
// numbc=33
5,3,1,1,4,1,2,2,1,2,1,7,4,3,1,1,2,2,2,2,
2,8,3,2,1,1,3,1,2,3,1,1,3,
// numbc=67
1,1,2,1,2,2,1,2,2,2,3,2,1,4,1,1,2,1,7,2,
1,1,2,2,1,1,2,2,2,1,1,1,1,1,3,2,3,3,1,1,
2,2,2,5,3,2,1,2,3,1,2,2,1,2,2,2,1,3,1,5,
1,4,2,1,2,2,1,
// numbc=67
4,4,5,2,1,1,2,2,4,1,3,3,4,1,1,1,4,2,3,2,
1,3,1,2,3,2,2,1,1,4,1,3,4,2,2,1,5,1,2,7,
1,3,1,1,1,1,1,3,3,2,1,4,1,1,1,2,3,3,3,2,
1,2,1,2,5,2,4,
// numbc=66
2,1,1,1,5,3,2,1,1,1,6,3,2,2,3,3,2,1,1,2,
2,2,1,2,1,1,1,2,2,1,1,3,1,2,2,3,2,2,2,6,
1,1,2,4,2,9,3,4,2,2,3,2,5,4,2,3,1,2,1,3,
2,2,1,3,4,1,
// numbc=34
5,1,5,1,3,3,1,8,2,3,3,2,1,8,1,1,1,1,5,3,
1,2,1,2,3,1,2,3,1,1,4,2,2,1,
// numbc=33
3,3,1,2,4,1,1,3,3,2,2,1,2,1,1,1,2,5,2,2,
3,5,1,1,5,4,3,2,1,3,1,3,2,
// numbc=67
1,3,2,1,1,1,1,1,4,1,2,2,4,5,2,2,3,1,4,1,
2,6,1,2,3,2,5,1,4,2,2,4,1,2,2,3,2,2,1,2,
2,2,2,2,4,1,4,5,2,3,1,1,2,2,2,2,2,2,2,3,
1,4,2,3,4,1,2,
// numbc=66
2,1,1,1,4,8,1,1,1,2,4,3,2,4,3,3,1,4,2,2,
1,3,2,1,3,2,1,1,1,3,1,2,1,1,3,3,3,2,2,1,
1,1,1,2,1,3,1,4,1,2,2,8,3,2,7,2,1,1,1,1,
2,3,1,5,1,2,
// numbc=67
1,1,2,2,3,2,2,1,1,1,2,3,1,2,2,4,2,3,2,5,
1,5,3,1,5,2,4,7,2,2,2,1,1,1,1,3,3,4,1,2,
1,2,1,3,1,2,4,2,1,2,2,1,2,2,1,4,4,1,2,4,
1,2,1,2,1,3,2,
// numbc=67
1,5,2,11,1,1,1,2,2,1,2,7,1,1,1,4,2,3,1,2,
2,4,3,2,2,1,1,1,2,3,1,2,2,1,2,2,5,1,1,2,
2,1,1,6,1,2,2,2,2,5,1,1,1,1,1,3,2,3,2,3,
2,3,2,2,2,1,1,
// numbc=66
1,1,2,2,1,1,2,1,1,2,1,6,1,2,6,1,2,2,1,3,
1,1,1,1,2,2,1,1,2,1,1,1,1,1,4,1,1,4,2,1,
5,5,1,1,3,2,2,2,1,2,1,3,1,1,6,1,2,1,2,1,
3,1,2,2,1,1,
// numbc=34
3,3,3,2,2,3,1,1,1,4,4,4,1,2,2,4,2,6,2,1,
2,2,2,2,3,2,3,2,4,2,4,1,1,1,
// numbc=33
2,4,1,1,2,3,1,1,2,2,2,1,1,1,1,5,4,2,9,2,
1,2,1,6,2,1,3,2,2,2,1,4,5,
// numbc=67
2,5,1,1,2,1,2,2,1,7,2,3,2,2,1,3,2,1,3,1,
1,2,1,4,2,1,5,2,2,1,2,1,2,3,2,1,1,1,4,2,
1,2,2,2,1,2,3,3,2,2,2,9,1,1,2,1,3,2,3,1,
3,3,1,2,3,1,2,
// numbc=66
1,1,2,1,2,2,3,3,1,2,1,2,1,6,3,1,1,1,1,3,
1,2,2,1,1,3,1,1,3,1,1,1,4,1,1,7,2,2,2,2,
3,1,1,1,5,3,1,3,2,3,2,3,1,3,4,2,1,2,2,2,
4,1,4,9,5,1,
// numbc=67
1,1,2,2,2,2,2,6,1,2,2,1,1,3,1,1,1,2,2,2,
2,2,2,1,1,4,2,1,4,2,3,2,3,2,2,4,3,2,1,4,
3,1,1,2,1,1,1,1,5,2,5,1,2,5,5,3,1,5,2,1,
2,1,2,4,3,1,3,
// numbc=67
1,3,1,1,5,2,1,2,2,2,2,1,1,1,2,1,5,2,2,1,
1,3,3,2,4,1,1,4,2,2,1,8,2,1,2,2,1,2,4,2,
2,1,6,2,2,2,7,1,3,2,2,3,2,2,4,2,3,3,2,2,
3,3,1,2,2,3,6,
// numbc=66
1,3,1,2,3,2,1,1,2,1,1,1,2,1,1,1,7,1,2,6,
2,2,3,1,3,1,2,2,3,4,1,2,1,1,1,3,2,5,1,1,
3,1,2,3,5,2,3,2,1,1,1,2,2,3,2,2,2,4,2,1,
2,3,2,2,2,1,
// numbc=67
3,1,2,2,1,2,1,2,3,1,2,4,2,2,4,2,2,1,2,4,
1,2,1,2,1,2,1,3,5,6,3,1,1,1,1,3,1,1,1,3,
1,1,2,6,2,4,2,1,1,2,2,4,2,1,1,1,1,2,5,12,
2,1,2,1,1,5,2,
// numbc=67
5,5,3,5,1,2,3,2,4,1,1,3,1,2,3,2,1,2,1,1,
1,2,1,1,3,6,2,1,1,3,1,1,2,3,1,3,3,2,3,1,
4,3,4,1,2,1,7,3,1,1,1,3,12,2,3,2,3,1,2,2,
3,1,1,3,3,1,3,
// numbc=66
5,4,2,1,5,2,1,1,5,2,1,1,2,4,3,1,2,2,1,1,
2,2,3,3,1,2,2,1,2,3,1,3,1,7,2,1,3,2,3,1,
1,2,1,1,4,2,1,4,2,3,4,2,3,5,3,5,2,2,1,1,
2,3,2,1,5,2,
// numbc=67
1,2,2,2,1,4,2,1,1,1,2,3,6,1,1,1,1,1,5,1,
2,1,1,1,2,6,2,2,3,1,1,2,2,1,2,3,3,1,5,3,
2,1,2,2,1,4,1,4,2,1,6,2,1,3,1,1,1,2,2,2,
1,2,2,1,4,4,1,
// numbc=67
2,5,1,1,2,4,6,2,2,1,1,1,1,1,3,5,2,1,1,1,
2,2,1,4,2,1,1,2,2,2,2,2,4,1,2,1,2,1,2,1,
6,3,2,4,1,2,1,3,4,2,1,2,3,5,1,2,5,1,3,3,
1,2,3,2,2,1,1,
// numbc=66
1,1,2,1,3,3,1,1,1,1,1,2,2,1,4,1,1,12,3,1,
2,5,4,1,2,1,1,1,3,3,2,2,2,4,1,1,3,5,1,2,
1,2,1,10,2,2,1,2,6,2,1,2,2,3,5,2,3,1,1,2,
1,2,2,2,2,4,
// numbc=67
2,1,8,3,2,1,2,1,3,1,2,3,1,1,1,2,2,2,3,2,
3,1,1,2,1,2,2,5,3,5,2,4,1,2,2,3,1,4,4,1,
2,1,1,3,1,4,2,3,4,3,4,2,1,1,1,4,1,2,2,1,
1,6,1,2,2,2,2,
// numbc=67
2,2,9,5,1,1,1,2,3,1,1,6,2,2,4,3,4,1,1,1,
1,2,1,2,4,3,1,2,4,1,6,1,2,3,2,2,2,4,2,2,
2,3,1,1,3,3,2,3,4,2,1,2,1,1,4,1,4,2,1,1,
1,1,2,2,2,2,1,
// numbc=33
2,2,1,1,2,2,1,2,1,4,2,10,1,4,2,1,1,2,1,2,
2,6,1,1,5,2,1,1,2,5,1,1,1,
// numbc=33
6,1,1,3,3,1,1,1,1,2,3,2,5,1,4,2,1,1,2,3,
2,2,1,5,1,2,1,4,11,2,2,1,1,
// numbc=34
1,2,2,1,1,1,1,2,1,2,2,8,3,2,2,1,2,1,5,3,
1,1,1,1,1,2,2,2,6,1,1,3,4,4,
// numbc=33
3,5,2,4,1,2,1,2,2,7,2,2,3,1,4,2,2,4,1,1,
1,6,3,4,2,2,3,2,1,4,1,1,2,
// numbc=33
2,1,2,1,3,1,1,3,1,1,2,2,1,4,2,2,3,1,3,2,
1,3,1,3,2,1,4,1,1,1,4,4,4,
// numbc=34
1,1,1,1,2,1,4,3,3,2,1,1,1,1,2,1,1,1,6,1,
1,1,2,3,2,4,2,10,2,2,3,2,2,1,
// numbc=66
4,1,1,2,3,2,1,2,1,1,2,5,1,2,4,3,1,2,2,1,
2,2,2,1,4,5,1,1,2,4,3,2,2,1,2,1,8,3,1,1,
1,2,1,3,1,2,1,1,1,1,1,3,1,3,2,2,1,3,1,1,
2,4,3,2,1,2,
// numbc=34
3,2,2,9,1,6,1,1,2,1,4,1,1,1,1,2,3,1,2,3,
3,1,2,2,1,1,2,2,3,2,1,3,1,5,
// numbc=33
2,2,1,1,3,2,11,1,7,2,2,2,2,2,4,2,1,4,1,2,
3,1,2,2,3,1,1,2,5,1,2,2,3,
// numbc=33
3,5,1,2,3,1,1,3,3,1,2,6,1,1,1,2,5,2,1,2,
2,2,3,2,2,1,2,1,4,1,2,4,3,
// numbc=34
1,3,3,1,2,1,1,4,5,1,2,3,2,2,2,1,3,1,2,4,
1,1,5,4,1,5,1,2,1,1,3,2,1,2,
// numbc=66
1,5,2,1,3,3,1,1,1,1,1,2,1,1,1,1,1,1,2,2,
4,2,2,2,2,1,1,1,2,2,1,2,2,1,2,1,2,1,1,3,
1,4,2,3,2,2,1,2,3,1,1,2,2,6,2,3,1,2,2,1,
1,3,2,1,1,4,
// numbc=67
4,4,1,1,1,1,1,1,2,3,2,1,2,3,1,1,1,3,2,4,
1,1,2,1,4,1,2,2,2,5,2,2,6,1,2,3,1,1,4,1,
1,3,1,9,1,3,2,3,3,1,2,2,1,2,3,4,1,2,1,4,
2,1,2,2,1,3,1,
// numbc=67
2,1,1,2,5,2,1,3,2,1,3,2,3,2,2,2,4,1,3,2,
1,3,1,3,3,2,2,1,1,1,2,2,3,1,1,1,1,1,2,1,
2,3,1,1,2,1,1,1,4,1,2,1,9,1,2,8,2,3,1,1,
5,4,1,6,4,1,1,
// numbc=66
1,4,2,2,4,2,1,3,1,2,2,8,1,3,4,3,3,1,4,1,
2,2,1,3,1,1,1,2,2,4,1,2,1,1,4,1,2,3,2,3,
2,5,2,1,9,3,1,1,1,2,2,2,1,2,2,2,2,1,2,2,
1,2,1,2,1,3,
// numbc=67
2,1,2,2,1,2,1,1,1,3,2,1,4,2,2,2,1,1,2,3,
1,1,1,1,6,2,2,3,4,2,2,2,3,1,2,1,2,1,3,2,
3,1,2,4,1,1,2,2,5,1,3,2,3,3,1,2,2,1,1,2,
1,2,3,1,1,2,3,
// numbc=33
1,4,2,1,2,1,1,3,3,3,2,2,3,1,3,2,2,2,2,1,
2,2,2,2,3,1,5,4,3,1,2,2,2,
// numbc=34
2,1,3,3,2,2,2,4,2,2,3,2,1,3,2,2,1,1,3,1,
1,2,2,3,3,9,1,1,2,2,1,1,1,2,
// numbc=33
1,1,2,2,2,4,2,3,1,2,1,2,3,2,3,2,3,5,1,3,
2,2,2,1,1,1,4,1,2,1,1,8,1,
// numbc=33
2,2,3,1,2,1,4,1,1,1,1,3,2,1,1,1,5,1,5,2,
4,5,1,2,3,1,1,1,2,1,3,3,2,
// numbc=67
1,1,2,2,1,2,1,3,3,1,1,3,3,1,1,2,2,5,2,2,
1,5,1,4,1,3,3,1,3,1,1,2,2,2,1,2,6,3,2,2,
2,4,3,3,2,2,1,2,1,2,3,2,3,1,1,1,1,3,1,2,
3,1,2,1,1,2,1,
// numbc=33
1,5,2,3,1,2,1,1,1,1,4,4,1,1,1,2,2,3,2,3,
1,4,3,3,3,3,2,2,3,8,6,3,3,
// numbc=34
2,1,1,2,4,3,4,2,2,1,1,2,1,1,2,8,1,2,3,8,
1,1,2,2,1,1,2,1,2,1,1,2,1,2,
// numbc=66
1,1,1,2,2,3,2,2,2,1,2,1,2,6,4,1,1,2,1,1,
1,4,2,1,2,3,2,2,2,1,6,1,1,1,1,1,1,3,3,4,
1,3,1,1,2,2,2,1,1,3,2,5,2,2,2,2,1,3,3,3,
1,2,1,1,3,6,
// numbc=67
2,3,4,2,1,1,1,5,2,2,2,2,1,2,2,2,4,1,4,2,
1,2,4,1,1,2,3,2,3,1,1,4,1,1,2,1,1,1,1,1,
4,1,4,2,4,2,1,3,2,1,2,4,1,1,2,7,1,1,2,3,
2,1,1,1,3,4,1,
// numbc=67
4,5,5,1,1,1,2,2,4,1,2,1,1,1,1,2,2,1,1,1,
1,1,2,6,2,1,2,2,1,5,3,2,1,2,2,1,2,6,7,3,
2,2,1,2,1,1,2,2,2,2,1,1,1,5,3,2,3,2,1,1,
1,1,3,2,2,2,2,
// numbc=66
1,2,3,1,4,2,1,2,1,2,1,6,6,5,2,1,1,1,5,2,
1,5,1,6,1,1,1,2,2,2,1,1,1,2,2,1,2,2,1,2,
3,1,2,1,3,1,2,2,3,2,1,1,4,3,2,2,2,1,1,2,
2,2,1,2,2,1,
// numbc=67
1,1,4,4,1,4,2,4,5,1,1,5,1,4,1,1,1,1,8,3,
1,2,2,2,3,1,2,1,2,1,1,1,1,1,4,2,3,5,4,2,
2,2,2,2,1,2,2,1,1,2,1,2,1,3,1,4,2,2,2,6,
1,1,1,1,2,2,1,
// numbc=33
2,1,7,1,2,2,2,2,2,1,6,5,2,3,1,3,3,1,1,1,
3,2,1,2,1,1,1,2,2,6,4,2,2,
// numbc=34
4,1,2,5,2,4,4,2,3,1,1,3,1,2,1,1,2,2,2,1,
6,2,3,4,3,2,1,1,6,1,5,3,1,1,
// numbc=66
1,3,1,1,2,2,2,1,1,2,2,2,2,2,2,1,1,2,1,2,
3,2,1,4,1,3,1,3,5,5,1,2,4,5,1,1,2,3,1,1,
1,1,2,1,2,1,2,1,2,1,1,2,3,2,5,3,1,1,1,2,
2,6,1,2,3,2,
// numbc=34
1,3,6,2,1,1,2,1,2,1,2,3,2,1,2,3,1,4,2,2,
2,2,1,2,1,2,5,2,2,3,2,2,8,1,
// numbc=33
2,9,1,3,1,1,3,3,1,2,1,1,1,6,1,11,2,2,2,2,
1,1,1,2,2,3,2,1,1,1,1,3,1,
// numbc=33
4,4,1,1,1,2,2,4,4,1,2,2,3,1,2,3,2,1,3,1,
1,2,3,3,3,3,6,2,1,2,2,6,2,
// numbc=34
1,1,2,6,2,2,3,5,2,3,2,1,2,1,3,3,1,1,3,4,
2,1,3,8,2,1,1,1,1,1,2,2,1,1,
// numbc=33
2,2,3,1,2,3,1,2,3,1,2,2,2,2,4,2,1,1,1,1,
2,3,1,6,4,1,1,1,2,3,1,5,2,
// numbc=33
1,1,1,1,2,1,1,1,1,7,1,2,2,2,2,2,1,1,2,4,
4,5,1,1,2,4,1,2,3,1,2,4,1,
// numbc=34
5,2,3,2,1,4,2,1,6,1,2,3,2,1,6,2,2,1,3,2,
1,2,1,3,1,2,6,3,1,3,2,3,1,2,
// numbc=33
3,2,1,8,1,2,1,3,4,4,1,3,1,2,2,6,2,3,1,2,
1,1,4,2,2,2,1,4,4,2,1,3,2,
// numbc=33
2,1,1,1,1,4,2,4,4,1,3,2,4,1,1,1,3,1,1,1,
1,2,8,1,5,1,2,2,1,1,7,2,4,
// numbc=34
3,1,1,1,1,2,1,4,2,1,1,4,3,2,1,4,1,2,4,2,
1,4,3,3,1,2,1,3,1,1,4,5,2,1,
// numbc=33
2,9,1,3,3,2,6,1,1,2,1,2,4,4,5,2,3,4,1,3,
1,2,1,1,2,2,1,4,3,2,1,2,2,
// numbc=33
1,1,1,3,2,1,1,1,1,1,3,3,2,2,2,2,5,1,5,2,
3,4,2,1,1,2,1,1,6,2,1,2,1,
// numbc=67
1,1,2,3,1,1,6,1,1,1,2,3,1,1,1,1,1,2,6,3,
4,1,3,1,4,1,1,2,2,4,3,1,1,1,4,2,1,2,4,1,
2,1,2,2,2,2,2,2,8,1,2,1,1,2,2,2,1,2,1,2,
1,1,1,1,2,1,2,
// numbc=67
3,2,4,1,1,2,1,3,4,1,2,2,1,3,1,1,2,1,9,2,
2,1,1,2,2,2,1,2,1,1,2,3,4,2,2,2,1,2,4,1,
2,1,2,2,1,1,2,2,4,1,1,3,2,1,1,1,9,1,1,1,
1,2,3,3,2,1,1,
// numbc=66
1,5,2,2,2,3,3,6,1,2,2,2,1,1,3,1,1,2,1,1,
2,2,1,3,1,1,1,2,3,4,2,2,4,1,3,2,2,3,1,2,
1,2,1,1,8,1,1,3,3,1,3,2,2,2,3,1,2,1,3,1,
3,5,1,3,3,2,
// numbc=67
1,2,3,2,2,1,2,1,2,3,11,3,1,2,3,4,1,1,1,2,
3,2,1,1,1,2,1,2,3,1,2,1,1,1,2,2,1,1,5,4,
2,2,1,1,2,3,2,2,4,1,1,2,2,3,1,1,4,4,3,2,
1,2,2,2,1,1,1,
// numbc=33
4,4,2,2,1,1,2,1,5,3,2,4,3,1,1,4,5,2,9,1,
2,1,1,2,3,1,1,1,4,1,2,2,5,
// numbc=34
1,1,3,1,2,3,2,2,5,3,1,1,1,1,2,2,1,2,4,3,
4,2,2,2,2,1,1,6,2,2,2,3,5,4,
// numbc=33
2,1,3,2,5,3,1,1,1,6,1,2,2,3,3,1,4,2,1,1,
5,2,4,1,3,1,2,1,2,1,1,3,2,
// numbc=33
2,1,2,3,2,1,1,2,3,3,1,1,4,1,1,2,4,2,2,4,
1,4,1,1,1,2,8,2,2,2,4,6,1,
// numbc=34
2,2,3,3,1,3,3,1,6,3,3,2,1,1,1,1,2,1,2,5,
2,7,1,2,1,4,2,1,5,1,1,3,1,3,
// numbc=33
4,2,1,3,2,3,1,3,2,1,5,3,2,3,5,1,3,2,4,1,
1,1,2,1,2,2,2,1,3,2,1,2,3,
// numbc=33
3,2,1,1,6,1,5,2,4,1,2,1,1,1,1,2,3,2,2,3,
1,2,1,6,5,2,1,2,1,1,1,4,5,
// numbc=34
1,1,1,3,1,7,1,2,1,3,2,1,1,1,2,4,2,1,2,2,
1,2,2,2,1,1,2,4,2,1,2,2,5,1,
// numbc=66
3,2,1,1,1,3,4,3,2,1,1,2,2,2,3,3,3,3,1,1,
2,3,7,2,2,1,2,4,1,3,2,2,1,1,7,1,1,2,1,2,
1,6,1,1,2,2,2,1,1,2,2,2,2,2,5,2,1,2,5,2,
1,2,2,2,5,1};