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