[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,44,45,46,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,76,77,78,80,81,82,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,101,102,103,104,105,106,107,110,111,112,113,114,115,117,118,120,121,123,124,125,126,127,128,129,130,131,133,134,135,136,137,138,139,140,142,143,145,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,167,168,169,170,171,172,173,174,175,176,177,179,181,182,183,184,185,190,192,193,194,195,196,197,198,199,200,201,202,203,205,206,207,208,209,210,211,212,213,214,215,216,217,220,221,222,223,224,225,226,228,229,230,231,232,233,235,236,238,239,240,242,243,244,245,246,248,251,252,253,254,256,257,258,259,260,261,262,263,265,266,267,269,270,271,272,274,276,279,280,281,282,283,284,285,286,287,288,289,290,292,293,294,295,297,298,299,300,301,302,303,305,306,307,308,309,311,312,313,315,316,317,318,319,320,321,322,323,324,325,326,327,328,330,333,334,335,336,337,338,339,340,341,342,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,364,365,366,367,368,369,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,392,393,394,395,396,397,398,399,400,401,403,406,408,410,411,413,414,415,416,417,418,419,420,422,423,424,425,427,428,429,430,431,432,433,434,436,437,438,439,441,443,444,445,447,448,450,451,452,453,454,455,458,459,460,462,463,464,465,467,468,469,470,471,472,473,474,475,477,478,479,480,481,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,516,517,518,519,520,522,523,524,525,526,530,531,532,534,535,536,537,538,540,541,542,543,544,546,547,548,549,550,551,552,554,555,556,558,559,560,561,563,566,567,568,569,571,572,573,574,575,581,582,584,585,588,589,592,597,600,601,602,603,605,606,607,608,610,612,613,616,618,619,620,621,624,625,626,628,629,630,632,635,637,641,642,644,646,648,649,651,652,653,658,660,662,664,666,671,674,676,680,682,683,685,686,688,689,691,692,694,696,697,698,700,703,705,706,707,708,709,710,712,717,718,719,721,722,726,730,732,733,735,736,737,738,742,743,744,745,748,750,751,752,758,762,765,768,769,770,772,774,777,780,787,788,789,791,797,805,806,807,808,813,814,817,818,819,820,828,831,832,837,843,844,846,851,852,853,854,857,860,865,867,868,873,875,880,883,885,886,889,894,896,898,899,902,905,907,908,913,914,915,917,918,920,921,922,923,924,925,926,928,929,930,931,936,937,939,945,947,949,952,953,955,956,958,959,962,963,964,966,968,969,970,971,977,978,981,989,991,992,994,995,996,997,998,1001,1003,1004,1008,1009,1012,1013,1015,1016,1017,1020,1021,1026,1029,1033,1035,1037,1042,1045,1047,1048,1050,1051,1053,1056,1057,1060,1064,1065,1066,1067,1069,1070,1071,1075,1077,1082,1083,1084,1085,1090,1091,1092,1098,1099,1100,1104,1105,1108,1111,1113,1115,1117,1121,1122,1123,1125,1128,1129,1133,1134,1135,1136,1140,1145,1146,1148,1149],[19,30,38,43,47,48,51,62,74,75,79,83,92,100,109,116,119,122,132,141,144,146,166,178,180,186,187,188,191,204,218,219,234,237,241,247,249,250,255,264,268,273,275,277,278,291,296,310,314,329,331,332,343,363,370,390,391,402,404,405,407,409,412,421,426,435,440,442,446,449,456,457,461,466,482,483,514,515,521,527,528,529,533,539,545,553,562,564,565,570,576,577,578,587,590,591,593,596,599,609,614,617,623,631,634,636,638,639,640,643,645,647,650,655,656,657,659,661,667,668,669,670,672,673,677,678,679,681,684,687,690,695,699,704,711,714,715,716,720,724,725,728,729,731,739,741,746,747,749,753,755,757,759,760,761,763,766,767,771,775,776,779,781,782,783,786,790,792,793,795,798,801,803,804,809,811,812,816,823,824,829,833,834,835,839,840,841,842,845,847,848,849,850,856,859,861,862,863,866,869,870,871,872,874,879,882,884,887,888,890,891,895,897,900,903,904,906,909,910,916,919,927,933,935,940,941,943,944,946,948,954,961,965,974,976,980,984,985,986,988,990,993,999,1000,1002,1005,1006,1010,1014,1018,1019,1022,1023,1024,1025,1027,1028,1030,1031,1034,1036,1040,1041,1043,1044,1049,1061,1062,1063,1068,1072,1073,1074,1076,1078,1080,1093,1094,1095,1096,1097,1102,1103,1107,1109,1110,1114,1120,1126,1130,1131,1132,1137,1141,1144,1150,1151],[189,227,304,476,557,586,594,598,604,611,615,622,627,633,654,665,675,693,701,702,713,723,734,740,754,756,764,773,778,794,796,800,802,815,822,825,826,827,830,838,855,858,876,877,878,881,892,893,901,934,938,942,950,951,960,967,972,973,975,979,982,983,987,1011,1032,1038,1039,1046,1054,1055,1058,1059,1079,1086,1087,1088,1089,1101,1112,1116,1118,1119,1127,1138,1139,1143,1147],[108,580,583,595,663,727,784,785,799,810,821,836,864,912,957,1007,1052,1081,1106,1142],[579,911,932,1124]]