%
% Generated by 
%   kidney_exchange.pl 1000 0.1 or_tools
%  
%
compatible(Compatible) => 
Compatible = 
[ 
[10,15,17,21,25,31,37,46,49,50,99,111,125,127,136,138,145,146,149,166,199,213,217,221,223,229,230,233,250,259,279,289,319,323,328,339,348,358,364,380,388,408,409,413,424,432,436,445,469,472,490,503,508,534,538,544,579,591,602,616,621,632,647,650,663,667,669,681,685,686,689,718,732,733,752,754,766,769,807,808,846,857,862,890,936,956,957,958,964,967,990], % 1
[1,8,16,21,23,31,39,48,51,55,69,74,80,111,114,117,124,129,143,160,162,166,169,174,181,192,221,227,232,245,272,277,278,294,301,310,321,335,336,338,347,349,355,375,388,397,414,432,475,485,496,499,504,515,525,550,553,566,568,578,581,594,602,610,616,619,624,636,638,671,673,703,707,711,714,716,728,736,742,743,747,754,763,780,788,791,809,813,823,825,827,833,849,852,854,870,875,893,904,908,909,912,918,921,954,968,976,991], % 2
[4,12,23,26,30,34,41,44,57,58,68,77,90,98,125,143,149,160,164,165,168,193,203,227,232,233,259,284,324,326,345,361,363,374,376,381,386,389,391,396,430,450,456,459,487,505,510,553,567,568,589,595,598,606,618,641,644,671,716,730,739,745,761,769,773,781,786,806,809,810,818,824,837,839,847,896,897,907,918,926,944,947,951,952,960,990,995], % 3
[1,14,21,31,33,61,66,67,83,90,132,140,153,160,184,192,211,212,229,230,232,233,259,270,292,294,301,317,324,339,353,370,377,400,440,456,474,481,486,489,494,501,510,533,534,538,544,569,580,597,599,600,651,676,688,695,707,711,727,730,732,752,780,786,828,832,837,841,854,855,866,871,876,886,888,912,916,917,926,931,954,956,958,976,977,994], % 4
[14,25,31,36,38,54,57,63,68,83,94,108,109,112,115,130,140,150,156,163,169,171,181,190,195,197,217,223,236,279,285,296,299,309,313,315,323,328,338,345,352,353,364,368,372,374,387,406,412,423,443,462,478,487,492,494,499,504,534,554,557,561,567,568,575,577,582,585,603,606,613,615,616,617,628,631,639,643,650,653,660,661,664,668,673,682,691,706,719,720,729,734,735,765,778,791,805,806,809,814,821,824,850,869,888,894,905,916,917,936,937,939,953,971,973,978,979,987,991,999], % 5
[12,13,15,22,30,38,51,67,74,83,87,89,91,93,95,107,122,137,138,191,196,199,208,226,237,251,254,261,271,273,276,277,281,299,301,302,323,347,353,357,358,372,374,390,398,405,409,421,424,428,441,458,468,477,482,484,493,494,504,510,527,536,545,548,550,561,562,566,591,592,597,607,625,630,632,635,641,645,651,660,676,692,695,706,717,728,731,741,763,774,791,805,825,837,842,864,866,869,872,889,899,900,902,915,918,922,923,927,931,944,948,951,952,953,959,970,979], % 6
[15,23,35,36,51,75,91,96,118,121,135,146,151,154,155,198,217,220,221,234,235,240,242,245,257,259,271,286,288,318,337,341,342,343,345,348,349,368,381,397,402,428,431,436,453,469,490,516,528,530,537,539,565,570,593,617,622,654,689,690,696,729,730,755,785,786,801,832,834,848,852,870,891,901,904,907,913,918,928,942,976,984,994,997,1000], % 7
[15,20,26,31,37,58,128,135,147,179,182,190,205,232,254,256,277,284,302,354,357,364,367,369,377,390,403,410,412,419,421,432,435,441,446,466,476,483,489,490,497,503,504,508,510,526,556,560,579,607,611,622,632,634,636,644,648,655,662,667,672,683,705,719,723,759,762,770,797,803,820,825,828,830,842,850,851,853,878,885,888,897,903,911,930,934,938,961,963,986,987,992,998,1000], % 8
[12,17,47,54,77,96,107,162,165,175,176,178,181,186,221,248,250,253,254,290,306,327,338,342,348,349,350,356,358,359,366,417,418,422,429,430,433,434,440,441,444,446,454,455,457,466,497,519,522,533,546,547,549,556,562,592,603,605,613,638,644,671,683,692,711,712,714,753,755,784,788,793,794,807,814,817,838,857,864,870,876,877,886,888,891,919,922,938,945,953,956,957,965,990], % 9
[2,58,80,104,124,153,154,160,165,166,171,185,218,223,228,230,240,241,250,262,265,275,321,322,333,336,341,350,352,394,408,421,439,447,457,464,501,523,532,541,550,553,557,567,570,575,590,595,602,606,607,623,633,634,642,657,661,679,681,685,705,711,713,744,752,769,777,779,782,796,805,814,815,829,830,835,841,854,860,862,876,881,896,899,904,914,921,928,929,948,957,966,978,981], % 10
[17,22,33,36,44,61,67,72,84,88,107,109,115,124,139,141,142,153,158,168,172,180,184,194,218,243,265,290,298,299,309,315,317,320,338,345,353,367,368,381,383,390,394,396,419,420,427,466,471,498,508,517,524,546,583,584,598,613,618,622,624,651,652,656,657,664,673,679,682,685,699,718,723,737,771,783,791,800,811,816,829,857,859,880,883,886,950,962], % 11
[26,33,37,39,54,63,74,81,94,97,103,118,145,156,164,179,181,189,196,205,228,238,251,254,260,271,273,280,311,315,322,332,344,377,387,401,405,408,451,460,461,477,479,483,489,490,501,509,517,524,535,545,547,556,560,562,573,580,581,584,593,596,606,609,622,625,635,642,662,664,678,681,696,711,712,713,716,723,727,729,733,736,745,756,757,760,765,779,782,784,789,793,796,812,815,831,841,852,855,860,865,869,870,878,884,890,896,904,916,922,924,940,958,978,986,993,996], % 12
[29,45,49,57,60,61,71,107,113,114,141,142,150,161,183,187,196,202,229,236,245,265,289,317,319,340,350,356,365,378,380,382,388,396,411,425,436,441,446,466,469,498,514,531,536,550,558,580,591,612,629,650,654,666,669,682,683,685,695,700,706,710,718,719,724,768,777,787,800,828,835,847,851,853,861,870,907,916,948,949,956,962,963,964,967,995], % 13
[2,5,11,25,35,36,42,47,68,78,83,86,92,98,102,104,144,145,149,154,162,166,173,187,188,211,214,243,251,269,276,279,283,293,298,307,308,341,348,381,399,403,416,418,437,439,469,487,491,498,511,521,538,541,563,594,598,606,607,610,613,619,626,633,648,650,655,661,664,668,673,675,682,684,692,705,706,708,718,722,725,734,756,757,768,773,774,776,797,803,805,827,830,836,863,873,874,901,903,912,916,921,945,948,973,992,993], % 14
[12,18,25,52,62,65,66,70,133,150,152,157,159,167,170,181,198,200,208,225,270,276,307,328,329,341,355,356,365,376,379,380,392,401,413,421,440,444,450,462,474,487,489,493,497,500,506,507,515,516,539,552,581,596,603,615,641,652,653,658,692,700,709,719,724,735,736,755,782,790,795,814,817,818,824,825,841,849,858,859,884,903,906,913,918,920,938,959,963,970,971,974,979,983,991], % 15
[2,35,37,39,74,75,82,88,89,101,102,106,109,111,112,115,134,139,149,152,165,170,195,209,214,216,220,224,225,227,235,256,268,274,277,289,291,295,296,317,341,348,353,359,363,370,371,424,425,427,462,464,473,477,484,509,524,536,556,557,567,615,621,624,643,655,676,678,697,699,702,703,711,715,726,761,763,765,774,778,789,797,802,824,829,838,839,848,857,861,871,901,907,908,924,956,963,979,996], % 16
[5,20,47,84,94,108,125,127,129,141,155,163,168,177,193,205,208,214,232,233,255,274,281,292,294,305,307,308,317,321,322,331,332,347,349,362,369,374,375,377,381,385,399,404,414,439,479,481,482,491,494,495,496,497,515,550,552,579,584,616,625,626,634,637,640,643,651,654,658,663,667,704,735,738,747,756,785,787,809,823,837,845,848,862,865,878,879,882,885,890,892,894,914,932,935,944,947,960,964,982,988,994], % 17
[6,13,30,35,45,48,59,64,66,69,89,90,112,117,119,125,141,142,155,159,164,182,194,215,220,222,223,235,276,298,317,343,348,357,374,382,400,422,432,443,449,450,473,479,492,501,512,516,529,532,545,564,593,598,605,607,629,639,662,677,682,697,708,714,718,723,724,726,732,739,763,770,776,788,796,800,802,809,840,845,858,868,881,885,897,908,933,946,949,952,972,977,981], % 18
[6,9,28,30,37,48,61,63,88,97,105,107,110,114,119,126,151,171,172,190,206,213,269,287,323,328,343,357,364,369,372,382,388,397,404,419,420,430,442,472,489,490,496,497,502,503,527,531,538,547,560,565,570,578,580,589,595,606,607,617,618,620,625,652,655,657,658,682,686,704,719,720,736,742,743,766,784,791,793,795,801,822,836,858,872,873,878,883,884,892,915,932,945,947,968,972,986,997], % 19
[16,21,46,50,52,65,77,89,94,103,109,111,114,127,132,135,139,141,144,181,185,195,220,230,244,249,253,256,270,274,294,314,326,345,395,399,402,410,420,424,431,432,443,452,472,473,496,505,516,522,528,530,568,604,614,619,627,635,651,661,679,680,684,686,692,708,717,728,729,745,759,777,782,810,830,833,836,845,891,906,922,924,927,947,951,956,979,992,995], % 20
[3,17,43,56,65,94,101,108,138,141,150,153,154,157,158,165,191,193,199,202,213,221,233,238,245,278,300,316,328,344,346,355,359,366,384,394,397,407,414,433,440,444,454,457,464,512,530,536,561,581,582,590,595,608,609,634,646,652,676,690,695,734,736,756,767,776,779,788,789,805,808,810,814,815,851,856,869,870,874,881,884,892,901,902,905,911,918,939,955,976,978,979,992], % 21
[4,23,46,70,86,89,102,125,134,138,158,160,165,167,205,206,220,233,236,243,246,253,276,299,308,318,327,332,334,345,360,362,375,384,392,397,398,402,476,479,502,514,517,521,527,538,541,546,561,567,619,620,624,625,628,631,637,653,655,664,677,722,724,728,735,742,748,777,824,834,837,849,856,857,859,868,877,880,887,896,900,907,916,932,954,966,968,974,975,992], % 22
[19,21,25,26,28,36,40,41,51,55,68,72,81,93,114,115,143,144,164,171,177,180,183,193,201,207,211,215,223,253,269,289,294,297,306,313,321,329,331,333,339,341,360,362,369,385,406,409,419,424,428,454,478,486,495,500,502,505,507,513,524,544,552,576,589,594,615,616,625,645,652,655,658,662,684,697,727,741,745,751,754,755,771,820,822,831,857,863,892,905,906,907,929,931,948,954,957,963,980,986], % 23
[6,10,13,15,39,41,48,79,84,93,126,129,147,152,155,157,160,162,178,184,190,209,214,217,218,234,241,255,259,261,308,317,337,339,340,355,362,386,397,411,418,451,454,471,495,510,519,523,530,539,542,543,559,563,565,568,596,611,616,621,649,666,707,714,715,717,721,723,728,733,736,744,745,749,754,755,763,799,820,849,873,877,895,914,915,936,976,986,988,990], % 24
[3,7,21,63,65,66,70,80,121,123,136,145,170,174,176,197,224,225,235,257,262,274,277,278,316,323,338,389,396,398,402,406,410,420,421,422,424,455,468,476,511,545,548,573,575,584,590,598,605,608,623,637,647,653,666,667,671,672,699,707,710,717,724,742,746,770,772,780,789,815,840,856,880,892,909,911,922,925,933,940,962,967,968,971,979,980,989], % 25
[2,4,12,27,32,34,40,43,48,77,81,90,95,100,107,121,132,134,183,191,205,236,242,254,267,275,279,303,312,322,332,351,357,362,363,365,371,389,394,397,408,411,416,420,432,448,462,474,492,499,516,527,529,547,548,553,556,559,564,569,586,595,613,621,663,669,678,682,688,689,711,729,735,751,753,766,771,773,774,786,800,802,806,827,830,833,858,873,876,886,891,902,917,938,956,962,966,971,977,982], % 26
[7,9,14,34,40,42,69,79,117,125,153,157,158,162,186,192,193,213,237,238,256,257,264,265,281,291,313,338,339,350,359,365,372,377,398,404,411,424,428,453,460,463,485,486,488,491,518,543,573,576,579,586,591,609,639,644,648,653,661,680,681,688,704,722,736,751,778,783,791,800,805,809,818,824,842,853,861,862,863,868,870,900,936,937,955,960,981,992,993], % 27
[6,13,23,34,72,74,78,80,84,92,96,106,108,109,149,161,178,182,183,187,204,214,248,276,289,294,299,309,310,321,322,325,332,349,360,365,368,376,383,387,427,428,449,451,474,487,495,506,514,530,536,546,555,556,559,564,589,598,605,608,614,621,631,633,638,639,648,649,680,696,712,726,735,747,757,760,770,803,806,817,829,830,861,885,901,947,962,979,985,992,998], % 28
[31,40,43,46,61,72,73,105,122,126,129,131,134,136,140,141,169,179,185,186,190,202,216,230,236,238,244,248,252,255,266,269,280,288,292,298,299,309,321,339,346,357,362,370,394,397,420,422,445,474,482,488,490,502,504,509,511,521,526,529,531,542,543,544,545,566,594,596,608,609,630,639,641,646,663,686,691,699,720,731,735,740,747,766,769,771,783,815,816,818,822,844,850,852,863,865,872,879,891,904,906,924,940,945,964,969,974,981,983,984,995,999,1000], % 29
[7,10,12,19,34,36,37,52,77,80,118,120,134,146,159,161,193,222,228,239,259,266,275,308,312,320,328,331,339,341,349,367,388,392,402,419,422,434,447,457,461,463,469,478,489,497,515,526,533,534,543,545,555,560,574,599,621,624,628,645,658,660,676,690,694,713,717,730,744,765,769,770,772,788,794,813,829,830,833,844,858,868,877,893,905,908,910,921,925,942,953,966,973,979,1000], % 30
[5,8,10,12,16,43,48,63,73,77,78,80,89,95,108,118,124,125,132,144,146,149,168,169,180,183,184,200,209,217,228,231,235,249,256,260,275,276,278,286,307,308,328,344,371,394,401,402,411,434,435,444,447,461,471,474,476,488,493,501,510,511,519,521,523,557,592,597,598,607,627,635,643,676,688,689,697,704,720,744,765,769,772,775,778,779,796,799,808,826,856,860,861,870,871,872,884,894,905,911,934,948], % 31
[26,30,38,68,80,97,108,121,133,137,141,143,148,155,162,181,182,187,196,200,205,208,213,219,236,243,257,259,263,269,271,280,285,291,299,304,314,320,326,335,343,344,359,364,386,417,435,441,451,453,461,473,531,551,573,580,598,607,618,624,631,632,636,649,671,679,683,684,686,687,693,697,700,710,746,751,755,756,770,771,774,778,786,791,801,806,812,813,821,827,833,836,842,860,863,876,884,894,913,923,929,936,938,956,961,964,970,973], % 32
[6,17,43,52,55,57,76,82,87,104,109,112,118,123,137,144,158,181,184,191,193,201,205,210,211,218,229,257,269,282,286,288,307,323,361,385,387,392,407,408,418,420,433,448,483,511,512,513,516,536,540,551,565,572,576,603,605,606,617,622,625,627,632,637,646,663,691,712,715,723,731,743,745,751,758,774,792,828,831,870,873,882,885,913,923,927,940,942,943,953,956,967,971,997], % 33
[20,30,32,40,67,71,73,111,115,132,133,149,155,170,196,199,200,217,218,222,266,267,282,300,309,332,340,343,347,356,385,411,415,418,420,429,455,465,475,481,500,506,508,525,533,543,545,546,552,557,562,567,569,573,589,593,597,609,610,616,619,641,678,680,704,707,715,734,743,744,763,772,781,792,793,840,848,852,860,868,871,873,874,876,882,903,911,912,920,925,926,941,958,962,967,979,986,990,1000], % 34
[20,27,36,42,58,92,102,110,112,117,124,126,131,148,150,152,158,160,180,183,187,194,202,217,226,238,241,249,252,256,264,272,291,293,296,316,319,320,323,325,348,353,385,389,404,407,456,462,463,465,484,513,524,535,536,573,587,606,611,613,652,655,667,683,685,699,704,706,726,738,759,797,801,809,839,851,870,873,875,877,893,899,908,921,925,939,952,962,975,993,994], % 35
[5,10,13,17,20,23,26,32,59,67,68,75,78,125,133,144,149,155,168,179,185,186,188,189,223,224,233,237,242,258,260,335,337,342,375,380,397,398,401,407,420,421,426,428,436,456,473,489,499,501,502,511,528,537,538,549,559,560,568,577,590,603,648,678,690,702,715,720,727,743,753,782,783,788,800,812,817,836,838,848,856,877,881,884,892,894,907,910,928,935,951,961,972,989,993,994], % 36
[34,60,79,104,125,138,143,162,170,171,178,184,202,210,212,215,216,222,231,239,242,251,257,259,287,301,306,310,311,326,331,344,346,359,365,366,368,378,381,384,398,399,406,407,417,441,451,452,454,455,459,485,489,498,502,551,590,592,608,609,611,612,614,616,626,631,647,657,682,687,688,691,710,719,723,725,749,751,752,762,772,784,785,803,812,818,835,836,846,853,870,873,876,889,894,900,903,906,913,929,937,939,947,964,966,981,984,989,993,996], % 37
[2,4,5,6,8,39,61,70,80,82,83,100,109,114,128,133,137,143,147,151,154,157,159,181,184,188,194,209,223,239,242,253,263,270,278,283,284,313,318,323,337,345,347,362,367,387,398,408,428,435,436,443,451,474,491,495,497,498,501,513,527,542,547,566,582,586,589,593,594,597,600,612,615,616,620,646,649,655,657,663,680,690,702,703,709,717,731,733,748,755,769,799,805,823,827,838,857,862,869,878,885,889,892,900,913,920,923,924,966,976,978,990,991,992,997,1000], % 38
[8,12,13,15,33,34,42,53,68,72,75,80,88,105,124,141,153,161,181,225,249,256,260,267,272,278,290,296,317,322,323,363,368,380,384,396,398,415,421,431,441,443,444,457,464,500,508,520,542,545,550,553,565,570,574,577,580,585,594,603,607,612,614,622,637,658,668,672,679,704,711,726,740,748,753,756,759,776,794,804,805,831,857,860,862,871,879,884,891,901,902,913,947,951,987,994], % 39
[4,10,32,34,42,44,48,86,93,101,115,117,122,129,157,164,166,167,173,185,194,228,232,234,256,263,285,289,305,308,310,327,328,337,342,345,362,366,369,384,391,399,400,410,420,427,434,435,447,456,459,461,463,466,478,482,487,499,501,502,510,520,533,570,573,581,583,589,603,620,629,631,645,656,676,684,693,695,774,780,793,802,807,820,864,871,896,927,930,958,977], % 40
[3,12,17,65,68,72,92,103,111,122,136,152,154,177,179,189,201,203,222,237,253,254,269,276,283,290,292,303,328,340,345,362,364,365,398,412,423,424,426,430,436,440,443,475,477,491,494,500,501,506,527,557,566,570,571,593,601,624,625,632,651,658,664,665,672,679,692,711,715,726,729,746,750,761,762,779,780,781,792,795,796,804,824,830,834,846,858,863,871,878,895,896,900,902,912,935,948,949,951,953,966,975,990,993,998], % 41
[13,17,20,31,59,65,87,90,98,99,102,105,112,113,117,123,128,134,159,195,203,213,215,227,235,237,244,254,256,291,306,313,314,326,352,362,382,384,397,398,406,410,412,415,418,419,426,446,453,455,458,459,463,476,477,488,492,496,522,529,533,536,540,550,554,581,601,607,614,621,627,654,655,656,667,678,690,703,711,714,721,736,740,753,759,761,763,771,772,782,783,796,805,808,820,875,882,892,897,921,928,940,960,971,985,988], % 42
[1,54,67,81,87,89,105,107,109,111,119,122,128,132,134,141,147,155,173,177,179,184,186,200,209,215,228,229,245,256,268,300,301,304,317,322,323,334,337,349,354,369,382,383,399,401,441,442,445,460,461,473,497,514,515,522,525,527,542,555,569,573,584,589,599,600,616,617,623,628,631,646,655,661,667,681,687,688,716,722,773,792,798,801,859,876,878,882,885,892,906,921,927,941,942,945,949,953,954,972,980,994], % 43
[5,17,24,32,36,46,69,84,91,99,105,106,130,138,142,149,155,163,165,188,205,224,227,237,241,248,265,266,273,304,340,351,360,364,367,374,412,430,437,446,454,494,502,508,528,539,543,558,566,586,594,600,605,607,627,682,685,691,704,712,727,734,765,806,833,842,846,858,861,872,883,901,904,905,919,965,994,996,1000], % 44
[25,27,48,56,74,87,97,127,136,151,164,169,180,181,186,191,196,198,215,239,246,248,260,273,278,322,325,326,343,347,351,363,364,369,391,404,417,422,425,432,435,440,449,504,519,522,526,527,544,559,570,576,578,586,591,603,617,635,645,667,677,690,707,712,721,737,752,754,755,758,764,771,773,779,780,807,808,811,818,840,857,870,904,920,930,945,947,970,989], % 45
[18,23,29,34,40,55,64,65,74,80,96,101,112,113,124,132,134,154,184,205,212,213,217,224,225,228,236,246,247,249,251,275,281,294,303,328,329,336,344,350,353,361,368,372,391,401,407,409,419,427,429,464,469,483,484,493,499,501,503,508,510,512,519,520,552,554,568,578,579,615,616,627,638,641,644,649,667,684,703,716,729,742,745,757,766,778,780,801,804,805,813,850,864,869,874,887,896,898,915,923,931,949,960,965,980,991], % 46
[4,6,26,33,80,89,99,109,112,113,119,123,139,142,163,164,180,183,185,196,198,247,255,267,268,285,288,290,295,296,305,307,310,330,349,351,360,362,366,370,382,386,392,395,398,412,415,418,422,439,447,455,465,474,494,500,514,516,560,571,599,600,608,619,635,636,661,663,673,674,692,698,702,729,733,743,757,760,774,775,777,788,797,798,801,802,811,817,822,834,852,853,860,863,864,888,912,948,956,979,980,982,984,991,996,997,999], % 47
[4,7,15,30,49,59,60,68,71,75,84,88,93,97,103,108,113,122,134,137,142,143,156,158,159,160,167,168,185,195,216,218,232,239,244,257,259,261,269,272,280,283,293,294,296,305,334,343,380,381,385,400,402,406,409,419,424,434,435,437,438,441,457,461,475,479,480,487,504,510,520,546,571,587,588,616,621,631,633,635,666,677,695,720,744,758,760,779,783,789,793,797,801,818,851,867,872,874,885,886,892,896,907,941,943,948,954,961,964,965,977,980,981,985,986,988], % 48
[16,21,24,44,45,48,59,68,70,83,89,108,113,116,118,131,175,182,188,193,209,230,235,238,253,268,275,299,332,343,350,354,368,380,395,396,399,413,421,449,470,480,486,499,501,505,517,531,536,557,559,616,617,622,623,626,650,655,657,662,666,670,684,687,692,710,723,728,742,749,755,763,768,774,781,787,795,800,809,830,834,842,858,861,871,892,893,909,911,922,932,933,980,982], % 49
[28,51,52,64,68,92,94,122,152,158,165,167,180,182,190,196,210,220,221,231,260,261,295,301,302,311,312,320,336,350,357,370,379,390,396,403,406,408,414,426,439,452,458,460,471,476,480,484,489,508,521,530,537,538,545,547,548,549,553,556,564,574,580,583,602,606,616,644,645,649,656,658,684,686,687,688,691,693,704,707,734,735,744,762,765,767,776,780,820,826,827,832,848,865,867,876,915,919,924,943,961,971,975,976,993], % 50
[3,10,16,22,27,30,31,35,53,63,64,77,94,95,101,110,123,126,130,138,143,145,177,188,211,216,222,223,227,257,263,273,284,293,302,309,325,328,343,346,356,363,366,369,370,373,393,395,416,421,427,429,433,443,448,453,459,463,469,471,473,478,479,487,495,498,513,521,529,530,538,542,545,553,568,569,570,576,580,593,594,601,613,616,619,668,670,683,693,702,705,709,778,793,802,804,815,826,840,842,850,851,864,865,884,901,911,912,915,916,918,920,923,926,928,947,957,958,964,972,987,988], % 51
[27,30,40,53,57,72,86,92,104,110,118,121,157,161,164,170,185,193,200,203,214,226,235,252,263,274,302,305,335,355,371,372,376,387,409,421,424,429,435,441,459,461,464,483,497,498,506,521,543,561,567,580,602,612,613,631,642,646,654,660,662,678,683,699,702,713,719,728,735,738,749,751,757,768,781,795,797,807,815,825,828,837,843,898,909,912,925,927,945,946,950,953,962,965,971], % 52
[8,17,32,61,78,100,104,112,120,136,138,139,141,161,170,181,185,204,205,210,231,232,235,253,254,257,277,304,312,316,320,321,322,326,340,342,346,371,381,382,409,411,424,429,440,441,445,448,450,454,459,472,487,496,500,503,505,506,515,516,518,524,567,585,597,599,602,632,644,664,670,693,706,708,709,710,717,727,734,747,752,753,756,760,767,801,804,813,823,825,830,850,874,885,908,909,931,933,942,943,959], % 53
[1,3,5,30,38,43,53,62,89,92,93,134,169,186,195,205,229,249,263,268,271,289,330,339,352,361,369,379,383,392,395,401,402,411,417,447,468,472,487,491,495,497,510,523,542,550,553,557,569,595,608,611,613,614,615,627,645,653,672,675,686,696,702,715,725,734,745,752,760,763,767,788,796,797,801,805,813,815,819,827,839,842,883,893,894,905,934,938,939,941,956,964,975], % 54
[9,29,34,35,36,48,68,72,73,84,97,107,134,141,146,148,158,164,176,177,183,185,187,200,212,218,219,220,230,233,244,250,272,275,277,281,287,295,306,319,323,357,369,404,406,417,430,447,465,475,477,481,493,506,510,511,512,529,545,547,551,557,559,646,667,693,708,716,729,732,739,741,744,776,780,788,792,806,825,834,844,853,876,888,904,914,916,936,946,947,950,969,978], % 55
[4,33,53,64,83,97,98,104,108,116,148,159,180,181,195,227,233,237,240,248,251,253,260,266,277,279,291,312,313,338,347,359,363,377,385,387,389,392,402,423,434,444,449,452,454,468,472,475,484,490,506,509,510,514,528,530,531,533,537,542,559,578,583,593,621,642,651,654,673,683,691,706,731,732,764,781,788,793,796,806,817,829,833,834,839,852,855,863,873,877,882,886,895,901,902,914,946,950,973,978,994], % 56
[1,5,43,47,60,61,73,84,102,105,106,110,139,147,158,167,170,173,176,208,212,214,231,232,248,250,264,283,286,310,314,317,319,328,332,343,345,350,361,364,370,374,375,392,398,399,421,431,458,467,471,475,499,506,514,522,526,546,551,555,573,578,580,584,591,592,598,609,626,628,632,646,653,661,670,675,676,680,684,694,708,709,710,711,717,720,722,725,727,741,754,761,762,795,802,803,809,819,835,837,847,865,879,880,881,884,887,895,899,928,939,943,952,953,957,961,963,971,972,986,993,997], % 57
[7,22,27,37,46,69,80,89,104,124,153,154,166,173,178,189,216,224,238,248,255,266,301,322,328,329,330,332,333,342,371,378,398,403,404,412,426,429,434,439,441,453,458,473,477,478,488,490,492,495,502,504,529,540,560,562,567,569,572,573,587,596,601,602,603,607,616,622,643,664,709,726,750,753,758,759,775,795,796,804,836,837,840,862,872,876,897,904,911,918,919,923,932,937,940,952,957,962,971,977,980,982,990,996], % 58
[31,33,35,36,52,69,75,84,96,122,143,150,151,152,157,163,170,177,188,189,192,201,202,224,238,248,250,255,264,274,285,295,336,339,357,359,360,362,376,388,398,401,412,429,448,468,470,473,482,488,515,520,528,532,536,560,564,572,577,606,615,633,642,643,648,652,654,662,671,677,680,690,696,721,725,729,731,760,777,787,795,797,810,817,820,828,833,835,842,856,863,875,880,886,891,893,905,907,958,965,991,999], % 59
[11,25,38,39,53,55,59,75,85,100,103,109,122,134,139,140,141,144,176,180,190,202,208,209,215,216,224,228,238,241,258,269,284,298,302,307,308,316,317,321,322,348,353,361,367,371,373,379,400,403,407,413,415,418,435,441,447,479,494,495,500,501,503,529,535,547,552,554,559,560,562,565,570,575,584,586,589,592,608,616,628,651,665,671,675,678,686,697,703,718,722,730,756,761,772,779,789,793,805,813,814,817,832,837,841,855,860,875,881,887,890,916,932,936,946,961,962,975,978,996], % 60
[2,13,37,52,55,71,76,80,90,101,105,115,122,123,144,167,174,176,184,192,195,227,229,245,256,262,264,273,286,298,319,351,352,358,385,402,407,424,428,429,440,464,468,469,522,539,571,578,587,591,599,609,621,646,648,652,667,678,679,684,698,714,717,718,719,723,728,743,749,762,778,779,820,833,846,855,856,864,870,894,895,896,906,911,918,919,925,937,956,958,964,971,981], % 61
[4,17,18,20,28,38,39,46,48,55,64,66,67,92,97,103,106,111,122,125,129,145,151,179,189,194,195,199,202,206,226,288,324,328,329,331,332,348,355,361,378,381,391,396,397,398,410,423,432,436,438,441,444,445,448,468,485,491,502,504,510,514,522,527,547,548,564,579,583,595,603,605,606,714,723,732,758,772,780,781,787,795,800,807,819,822,832,850,851,858,868,877,879,883,893,894,895,898,911,932,947,951,981,988,994,997,998], % 62
[23,24,33,41,88,94,101,105,106,120,124,125,130,133,134,143,150,152,155,161,171,190,201,208,247,248,261,269,290,291,298,325,327,344,358,361,365,369,371,388,399,406,411,419,432,441,466,474,485,498,502,505,509,520,525,526,527,528,533,534,547,550,560,571,589,591,593,595,613,635,642,655,671,674,683,718,726,733,743,745,746,756,758,762,765,795,798,800,833,838,844,846,880,881,885,889,890,894,917,925,936,948,954,959,962,979,996], % 63
[5,15,21,23,39,51,62,69,83,85,90,92,96,129,132,136,151,152,153,168,177,182,195,209,244,247,252,298,303,306,307,310,312,316,366,371,375,377,383,387,390,392,397,398,403,440,452,454,482,493,508,527,529,544,548,561,578,590,613,614,616,631,634,655,669,670,680,681,690,694,710,714,718,744,751,753,768,776,786,790,791,792,797,808,813,816,823,827,839,852,853,855,860,863,869,928,939,958,960,966,967], % 64
[5,36,79,101,103,114,117,133,137,160,171,184,189,191,198,201,211,216,217,225,259,272,282,289,290,300,309,318,319,345,361,365,373,385,389,403,418,438,443,444,460,472,491,500,503,506,513,528,532,539,566,568,582,585,591,592,593,596,611,628,629,637,642,643,644,648,652,684,689,691,695,699,710,732,739,743,745,746,757,783,784,804,805,808,842,868,879,893,910,918,919,921,927,928,931,933,941,957,964,967,973,982,995], % 65
[31,40,42,54,69,72,74,88,90,92,108,110,116,142,152,157,173,177,216,220,244,250,259,261,271,272,285,294,314,322,324,326,349,353,355,358,369,381,382,388,406,410,416,448,450,454,455,456,464,469,472,487,494,509,514,516,519,523,540,554,587,595,597,613,621,645,649,650,657,691,696,708,716,739,740,781,813,815,826,836,868,873,879,899,907,913,937,944,947,950,958,970,979,982], % 66
[22,30,56,72,98,108,111,113,117,123,136,137,142,152,159,162,164,168,174,194,195,209,222,224,229,267,269,277,283,284,288,294,301,305,321,335,345,365,369,380,382,391,397,416,420,422,437,452,453,461,474,479,485,492,495,499,501,504,509,512,538,545,565,569,633,652,666,674,677,679,681,685,687,699,708,711,719,726,733,771,777,784,791,799,810,811,826,833,838,848,859,876,883,896,902,926,933,945,964,974,984,1000], % 67
[23,30,34,45,56,59,91,96,123,146,159,188,194,197,200,205,218,221,226,230,238,239,248,258,265,276,289,294,299,307,312,316,346,356,368,377,396,408,413,416,420,422,447,470,476,496,498,511,519,545,547,551,552,554,555,558,564,569,574,578,590,598,601,610,613,615,629,630,647,666,672,674,684,696,697,703,706,709,713,715,716,726,730,754,757,762,763,805,809,825,835,844,850,855,858,859,861,877,892,893,899,913,916,931,941,946,953,957,971,973,978], % 68
[42,44,46,53,55,57,76,89,92,109,111,127,128,137,138,140,149,150,155,172,183,208,231,234,255,272,290,299,308,319,324,330,349,356,370,386,393,404,405,413,436,451,463,482,484,489,496,497,504,506,531,532,546,576,579,581,589,590,596,597,607,608,622,686,723,729,746,749,750,754,755,757,776,806,815,817,826,827,847,852,859,882,886,895,897,907,914,936,953,971,974,993], % 69
[18,19,41,43,69,77,83,88,98,114,127,136,141,149,155,159,162,165,211,216,226,240,242,245,262,269,283,293,315,319,323,325,336,339,345,352,353,358,360,362,369,374,380,389,402,419,421,423,437,454,463,465,468,477,489,502,521,522,529,543,547,555,557,580,596,610,615,616,620,639,643,658,672,675,681,694,698,699,703,708,720,730,740,744,747,767,777,780,826,835,868,876,878,888,916,920,926,929,938,973,982,990,996], % 70
[7,12,13,24,27,34,38,52,53,66,72,80,105,162,164,168,180,187,192,200,209,244,267,282,288,293,296,320,321,352,358,360,373,376,377,379,401,416,418,439,443,451,458,494,518,521,532,534,543,573,591,597,619,624,643,648,649,657,659,665,675,692,702,703,709,714,724,785,786,810,821,844,849,851,883,885,901,913,916,920,945,948,961,969,970,978], % 71
[1,3,11,17,18,23,57,60,63,64,87,88,93,99,119,124,129,134,135,152,157,182,214,217,224,225,226,277,279,282,299,322,334,341,347,378,434,439,450,451,459,461,467,474,483,491,501,510,525,537,540,551,556,562,569,589,600,603,611,615,633,636,637,640,655,659,672,680,685,701,725,727,749,750,752,775,777,786,787,795,797,810,815,820,821,827,835,847,856,858,866,875,876,877,922,933,936,941,948,969,976,977,982], % 72
[12,22,32,35,43,46,48,58,83,85,141,149,151,170,171,194,203,210,223,229,247,272,273,294,296,303,307,320,327,336,337,344,349,377,436,450,472,475,480,483,488,489,492,497,536,548,568,571,596,601,611,629,630,638,649,667,671,673,680,681,700,703,716,719,731,736,746,764,766,782,796,824,826,842,843,860,869,872,875,884,907,927,932,954,968,970,977], % 73
[4,6,9,11,38,41,53,54,68,70,77,80,95,96,106,137,167,169,190,195,203,208,229,241,244,289,298,316,323,334,357,359,364,385,387,420,422,428,457,458,460,462,466,476,481,491,501,506,507,523,530,537,540,558,561,575,586,622,637,676,691,706,720,726,732,737,738,739,746,751,766,773,777,797,808,829,859,875,877,895,915,922,926,931,942,949,951,961,964,967,975,983,990,997], % 74
[27,43,48,55,63,64,72,82,108,111,116,117,119,124,136,156,164,165,176,184,196,210,218,219,235,236,242,244,252,265,275,286,317,337,351,353,357,388,400,408,410,419,445,451,464,466,468,469,471,479,501,504,512,528,543,553,585,592,603,609,631,634,637,644,646,652,660,663,673,679,686,687,734,735,736,745,754,758,762,766,781,792,816,832,857,877,884,907,930,938,940,946,975,978,987,989,998], % 75
[30,48,60,67,79,96,107,115,116,121,130,134,154,165,178,188,195,202,206,210,230,232,238,240,261,283,285,317,343,348,364,375,389,394,415,420,426,454,457,458,485,490,492,495,500,503,518,529,551,555,568,574,577,584,589,596,601,611,614,625,636,651,658,660,677,679,712,714,717,725,730,734,735,738,750,768,777,785,818,821,826,859,864,866,875,880,881,888,892,900,904,932,939,965,973,974,986,987,1000], % 76
[1,2,5,29,32,61,88,114,119,121,127,134,144,147,163,165,166,176,180,183,187,220,222,228,232,242,255,257,267,269,273,279,283,292,294,327,341,348,350,354,356,363,367,369,381,386,391,392,393,397,407,409,415,422,423,430,436,442,444,454,458,470,480,483,491,505,510,522,523,572,574,603,618,621,623,624,636,645,678,680,688,695,701,714,733,764,769,774,788,789,828,836,843,846,847,861,864,874,878,890,896,899,913,915,917,923,946,953,961,973,987,989,990,992,994], % 77
[2,12,24,26,33,50,62,67,74,80,87,99,113,122,130,143,149,151,160,170,207,214,215,241,245,250,251,262,278,301,308,309,312,326,327,331,352,353,366,370,383,389,396,404,426,428,429,445,451,455,464,481,487,506,515,530,544,581,589,600,604,605,621,629,634,639,642,661,678,693,696,701,702,709,722,759,760,761,777,779,784,788,793,810,816,818,821,828,831,842,844,865,869,870,876,882,897,898,906,910,913,927,942,944,949,950,951,954,961,964,965], % 78
[26,35,38,47,50,53,72,73,76,80,87,90,93,95,109,117,129,137,157,167,184,197,199,206,207,214,231,241,243,252,258,260,262,281,285,287,303,308,309,321,323,331,335,339,344,350,352,355,357,373,374,381,411,422,432,441,446,451,457,463,464,465,467,491,519,527,533,545,557,568,574,583,584,587,588,607,613,637,638,699,716,725,742,746,796,811,815,836,849,894,902,932,959,998], % 79
[20,24,31,32,38,45,46,47,52,57,59,78,94,98,111,119,121,122,123,151,171,195,201,203,228,230,233,238,244,245,259,270,277,287,342,356,373,377,421,426,433,447,449,462,467,469,482,490,497,500,506,513,522,529,538,540,558,563,591,602,616,623,625,631,633,641,683,697,699,712,716,727,728,739,769,778,791,810,820,823,825,832,840,853,854,857,887,907,912,932,940,952,960,961,968,971,991,998], % 80
[8,13,18,22,26,28,31,37,39,40,45,55,62,77,79,89,122,139,142,157,167,188,189,198,210,215,239,246,249,256,267,272,284,287,309,326,335,338,340,347,402,403,407,413,417,443,451,471,485,492,500,512,518,533,538,555,557,569,571,585,601,602,639,651,655,664,678,685,707,719,730,751,763,765,768,796,799,811,832,837,866,878,883,896,906,909,940,943,952,971,977,986,991,1000], % 81
[10,11,20,53,56,60,68,71,72,79,105,106,117,124,142,150,165,190,196,208,212,215,216,229,282,293,309,322,337,342,346,350,368,372,382,385,388,391,400,409,410,418,436,440,445,449,451,470,480,489,503,507,513,522,549,571,595,612,615,619,622,626,632,635,637,647,657,667,672,676,678,681,697,705,707,717,726,733,744,747,749,785,789,794,808,810,822,830,835,842,844,867,870,915,920,925,932,933,940,943,964,971,977,980,988,995], % 82
[27,34,43,62,63,67,76,106,111,116,124,126,146,152,166,190,197,198,210,211,225,244,255,257,259,262,268,269,271,285,289,313,319,321,323,325,327,335,341,347,366,374,392,406,410,440,443,448,474,479,482,484,489,491,492,502,513,522,532,542,563,566,573,575,589,599,601,628,636,641,643,646,649,653,672,674,676,703,710,732,742,743,751,753,755,756,761,780,781,796,823,826,830,838,839,842,844,846,850,865,870,893,924,925,932,933,934,935,937,944,959,970,978,984], % 83
[1,10,16,25,31,34,44,45,65,78,83,94,96,103,104,151,155,159,169,190,201,236,242,248,251,254,257,267,284,288,310,325,329,333,338,364,366,380,387,395,405,420,441,453,465,466,490,510,517,521,527,528,532,539,543,551,558,563,564,570,574,576,577,593,599,603,613,644,646,680,683,688,694,704,712,724,725,729,730,732,753,763,767,770,778,792,800,805,806,819,829,832,844,850,863,870,896,920,924,930,933,934,939,956,961,966,967,979,992,995], % 84
[3,12,13,20,24,26,31,33,66,79,80,88,89,90,99,121,129,143,161,189,197,199,242,259,272,283,303,306,319,323,332,342,343,345,346,353,356,360,364,381,395,401,403,416,419,420,422,428,432,444,445,449,452,467,483,488,490,515,539,540,553,571,584,586,588,607,656,667,670,728,738,746,757,760,767,772,775,779,817,821,834,842,861,876,880,896,918,921,936,938,949,957,960,975,976,984,987,993], % 85
[1,4,7,25,49,57,68,83,88,92,118,154,158,166,176,194,207,208,222,243,251,252,275,277,288,294,303,304,309,315,316,317,327,339,342,375,394,399,425,441,449,452,463,476,483,487,505,512,515,517,519,535,548,559,569,570,573,588,611,623,630,631,643,679,703,706,710,737,738,780,786,791,798,804,814,820,827,828,830,836,849,859,882,899,900,910,915,938,939,941,947,960,962,965,973,979,981,982,986], % 86
[13,27,39,50,60,67,91,93,95,112,115,153,155,164,187,194,212,221,230,233,235,236,261,266,280,293,308,327,338,339,348,362,367,372,408,418,419,420,421,422,442,448,456,466,472,481,487,491,500,511,523,529,541,566,570,587,601,602,609,612,619,621,635,661,663,664,673,679,687,693,714,719,721,730,790,793,803,810,815,816,819,847,859,876,885,888,894,899,916,920,939,958,980,999], % 87
[1,4,9,23,25,31,47,50,79,81,92,98,116,129,135,178,184,190,195,197,206,231,241,245,246,251,257,274,293,309,314,321,337,343,353,375,404,431,444,445,457,458,487,496,499,505,510,515,524,525,539,545,588,596,647,680,681,682,689,701,710,715,742,769,776,800,801,802,811,814,835,838,856,859,868,879,891,952,968,973,998], % 88
[8,12,30,36,37,65,74,78,84,90,113,122,134,140,143,150,160,163,165,166,170,183,190,198,226,234,235,246,270,276,305,307,310,318,327,344,365,382,383,390,401,406,412,426,428,451,467,475,494,496,498,505,527,533,542,549,561,564,584,586,597,601,605,607,619,632,634,636,660,663,665,668,685,686,694,696,699,712,732,747,763,773,796,798,802,812,817,823,827,832,838,862,863,864,877,879,900,917,920,943,946,947,948,953,966,987,997,998], % 89
[11,19,58,69,72,75,80,84,91,94,104,105,116,127,130,140,145,168,171,176,182,207,212,227,236,242,261,265,273,284,286,322,356,380,382,384,406,412,414,417,447,465,466,467,489,490,502,505,506,514,521,531,543,550,562,564,573,587,592,609,638,639,640,649,663,671,681,696,709,714,717,721,739,757,758,764,766,770,791,792,796,797,801,806,814,822,823,834,841,843,861,899,912,916,921,933,939,941,943,962,976], % 90
[15,40,54,59,60,75,77,92,103,111,115,116,117,127,133,134,150,152,158,167,198,203,227,245,261,269,273,294,298,302,306,324,331,340,358,385,397,410,416,426,429,442,448,456,466,472,477,500,522,532,538,541,544,547,549,554,569,570,572,574,575,576,581,599,602,610,615,619,626,636,657,672,685,686,713,715,722,727,729,744,753,758,774,775,787,812,813,825,833,834,842,851,859,872,876,883,890,897,902,918,924,925,939,943,960,978,982], % 91
[7,8,14,23,31,38,48,56,57,61,67,75,82,94,99,113,118,121,126,141,183,191,200,204,207,208,209,215,221,227,246,260,262,269,295,316,328,337,338,361,372,375,383,399,405,422,425,442,451,452,467,473,476,481,482,489,495,496,504,505,515,516,539,541,544,589,590,608,614,618,641,645,649,652,660,661,683,688,693,710,717,728,747,749,762,767,784,790,798,831,845,848,871,900,912,927,949,964,967,977,979,993], % 92
[2,4,5,26,30,33,36,38,52,58,72,80,87,89,92,102,104,115,128,132,133,144,149,154,155,156,159,161,163,166,182,189,199,205,230,233,234,236,243,253,256,262,264,271,287,308,315,318,321,328,333,335,337,338,356,371,382,392,397,406,436,441,442,447,462,477,489,494,496,500,517,518,537,542,561,568,576,579,580,597,599,613,632,636,651,655,677,679,686,690,695,713,714,733,737,757,775,781,786,787,793,797,805,817,831,832,839,842,860,863,877,878,885,887,891,898,907,917,951,964,973,983,992], % 93
[4,18,24,29,63,85,90,108,110,115,123,133,136,144,155,163,206,207,219,221,230,232,233,237,239,252,265,281,284,285,289,299,302,317,329,339,349,350,352,377,379,383,420,421,440,453,464,465,474,482,497,500,508,511,528,558,563,582,601,608,627,628,661,683,698,713,716,753,779,795,799,806,813,836,837,844,847,849,853,861,866,868,870,875,883,920,927,933,942,984,987], % 94
[15,40,42,54,56,61,98,104,105,107,110,139,165,168,174,176,183,204,235,246,265,266,270,271,290,318,339,340,344,347,351,352,361,377,385,386,388,402,412,416,450,455,470,487,489,493,497,522,537,546,556,563,565,579,587,593,604,621,629,645,646,668,673,685,713,719,727,728,731,747,769,774,779,783,813,817,827,834,841,853,863,872,884,908,926,927,931,932,966,975,985], % 95
[10,11,12,13,14,21,33,44,51,53,65,67,70,71,73,79,85,94,101,114,129,131,132,138,147,210,235,238,244,286,296,299,317,325,331,346,353,394,424,433,437,439,441,452,455,461,473,474,505,511,517,525,526,548,552,554,565,567,569,570,601,609,611,624,629,633,634,645,665,667,685,687,691,694,704,746,749,763,772,789,806,809,810,812,814,815,817,819,825,837,849,850,852,869,871,875,883,887,900,906,938,948,949,970,976,983,991,998], % 96
[21,36,59,64,67,69,74,77,79,80,95,103,113,117,120,128,135,157,158,161,163,179,205,206,209,214,218,229,239,242,245,248,249,255,260,268,286,292,308,312,316,334,342,352,353,354,373,374,384,399,406,412,414,418,423,426,435,441,477,513,522,534,546,549,551,556,557,565,583,587,593,624,635,638,642,643,654,660,664,675,684,687,703,704,707,720,721,741,742,745,747,749,762,774,779,782,784,786,787,794,799,803,805,807,811,832,833,843,848,862,864,873,877,899,900,905,906,933,945,952,964,984,988], % 97
[5,11,15,28,57,67,70,86,116,119,122,130,147,154,155,160,164,165,167,175,211,215,217,226,229,235,238,257,262,272,280,284,301,306,326,328,340,342,351,368,381,384,389,390,406,419,421,431,434,436,443,462,489,492,515,518,521,528,529,530,547,550,556,559,562,567,575,576,579,594,603,622,626,646,657,659,669,680,693,695,696,703,709,716,717,725,728,736,750,751,764,766,767,768,788,791,802,804,808,811,833,846,848,851,861,888,896,902,945,970,974,979,982,983,986,987,989,998], % 98
[8,31,42,50,67,68,69,79,98,104,119,126,143,146,147,149,150,155,164,183,184,185,209,212,216,219,221,226,250,267,286,288,297,298,329,335,336,344,373,397,399,402,404,420,432,466,484,497,499,505,508,514,531,532,557,566,569,573,582,584,603,630,643,644,654,671,694,698,703,708,711,713,716,781,802,803,806,822,825,827,829,842,844,855,867,873,874,889,893,898,902,904,920,924,933,935,967,968,978,992], % 99
[2,7,13,16,19,35,68,111,117,132,139,140,147,151,166,188,197,201,221,222,227,253,267,269,272,273,327,330,336,343,355,356,390,400,401,404,409,410,411,420,422,424,429,436,466,496,508,521,539,561,567,574,581,593,595,626,642,646,654,661,675,703,709,712,737,752,767,773,778,785,806,811,815,816,820,825,867,882,891,894,898,939,947,951,956,971,974,984,988,992], % 100
[17,29,65,67,68,90,96,110,112,115,118,123,134,155,156,161,167,171,174,186,192,193,205,208,229,232,234,236,239,245,246,258,263,284,293,317,328,340,358,370,371,374,377,383,388,402,403,427,428,430,431,467,476,504,511,514,522,531,532,553,555,557,563,565,572,586,600,628,630,661,667,669,684,686,688,689,705,728,730,741,761,767,769,775,776,780,789,794,803,804,814,830,846,848,857,861,867,875,880,886,889,922,927,929,946,950,953,967,974,988,989,996], % 101
[3,33,44,49,58,61,105,116,122,138,140,142,144,157,164,165,170,173,178,184,196,210,214,222,223,226,249,253,254,269,281,284,290,298,299,311,312,314,333,346,349,351,367,370,375,387,389,394,399,409,418,429,456,459,460,463,484,488,497,519,525,526,531,540,555,568,577,587,590,599,604,618,621,627,638,652,658,674,684,688,697,706,712,719,733,752,767,772,773,791,792,798,799,805,806,810,829,840,844,859,861,879,884,888,892,893,901,938,967,972,974,975,982,988,997], % 102
[5,24,37,39,41,42,58,63,65,80,81,149,150,174,176,190,192,193,241,245,249,259,275,279,285,298,308,329,335,347,349,355,367,376,423,426,438,440,460,461,471,472,483,505,507,521,526,530,533,539,544,555,561,562,563,566,573,597,598,610,635,636,638,646,677,686,688,696,707,730,732,760,769,788,789,797,835,847,859,896,915,920,927,930,938,940,951,962,975,989,1000], % 103
[9,13,18,30,40,50,55,62,64,69,83,91,110,116,130,143,147,184,199,217,221,232,236,240,242,251,269,273,277,319,321,340,346,360,370,373,377,378,385,390,433,438,456,458,459,465,471,492,502,505,522,527,535,545,554,603,607,616,629,649,650,652,658,681,692,698,704,709,718,722,728,733,736,738,741,778,797,803,808,822,824,836,843,844,848,849,850,868,874,891,894,896,900,919,921,937,943,947,981,982,986,988,990,997], % 104
[9,18,19,27,51,52,56,69,103,132,138,145,160,174,179,183,193,196,198,208,210,217,226,227,228,241,249,262,265,280,285,300,302,309,327,331,335,349,350,365,390,394,412,433,441,444,462,471,473,484,491,493,516,517,522,553,570,575,587,603,608,618,619,629,635,656,659,660,669,671,680,686,696,710,718,723,726,733,755,756,758,774,778,781,788,794,801,802,814,820,833,842,853,872,893,896,899,916,927,930,953,967,969,972,974,986,990,992], % 105
[7,9,10,11,13,14,17,26,29,43,50,53,65,68,79,87,88,90,94,95,98,117,118,124,135,140,150,188,195,203,214,228,238,251,258,260,279,280,299,300,316,328,332,352,356,362,366,376,388,425,440,442,455,460,463,470,498,553,554,556,561,562,601,646,658,667,674,686,688,690,699,704,714,715,724,732,743,794,799,814,841,844,847,848,899,907,926,942,961,965,979,983,989], % 106
[16,46,47,50,54,65,71,91,95,111,112,113,114,128,129,131,132,133,134,150,162,164,173,178,189,196,197,200,201,205,230,240,252,269,271,302,307,313,340,343,347,367,368,369,380,383,385,422,426,440,443,447,464,465,472,492,527,565,569,574,586,594,615,617,624,630,631,637,651,661,678,686,720,723,731,736,749,785,792,795,797,808,811,815,829,851,862,866,870,877,879,881,891,933,941,942,949,950,969,973,977,982,989,992], % 107
[16,43,72,76,92,97,99,101,109,126,133,140,145,149,165,178,179,184,185,193,194,196,201,205,227,238,244,275,278,290,295,312,313,322,324,339,345,356,367,392,396,401,418,434,438,443,458,476,480,482,484,485,491,515,533,548,560,571,597,613,614,619,625,661,670,682,686,689,695,740,773,784,785,820,837,841,844,852,880,888,901,925,929,934,938,945,957,983,984,985,986,999], % 108
[19,22,26,30,39,59,67,74,78,82,94,134,159,167,168,175,177,182,184,211,216,222,231,241,244,246,266,267,271,277,295,315,319,323,341,342,343,346,347,358,368,370,383,385,394,406,418,426,434,444,457,460,463,472,494,495,497,507,516,517,530,533,537,544,554,558,564,572,579,590,593,595,599,611,612,624,639,644,648,650,657,670,674,681,683,686,699,713,731,733,742,753,757,761,763,768,776,777,786,798,803,817,819,822,826,830,836,848,849,853,855,873,880,898,917,924,925,940,956,970,974,976,979,991,992,994], % 109
[3,19,22,28,29,45,50,51,54,63,64,79,90,95,97,100,102,106,112,130,133,138,140,145,147,149,159,166,167,188,196,203,208,217,229,249,255,260,263,269,271,303,308,320,326,354,361,365,375,376,381,384,391,400,412,424,429,451,452,456,465,467,471,473,475,514,521,529,544,545,553,556,564,566,567,580,591,619,621,633,686,688,695,697,705,707,711,715,717,730,744,770,771,798,800,813,817,822,845,853,862,872,883,884,885,889,894,897,913,916,926,937,944,955,982], % 110
[9,25,43,50,56,57,68,70,75,88,91,94,97,103,127,142,155,159,186,208,209,220,228,230,231,236,251,252,260,268,270,289,303,314,316,336,349,350,373,375,377,394,398,412,421,463,493,499,504,511,518,530,534,544,561,568,571,598,606,622,646,651,680,682,692,696,709,721,723,741,750,755,759,769,792,820,822,826,828,829,836,841,843,846,848,868,870,879,910,921,922,924,932,955,984], % 111
[8,25,33,57,69,70,100,111,125,130,149,163,179,185,190,235,246,260,263,266,273,281,285,292,295,305,336,357,362,385,392,409,413,418,420,426,432,437,442,443,446,459,461,465,474,483,492,500,502,503,509,514,520,521,526,544,575,577,591,605,607,632,635,644,647,652,661,663,665,680,689,696,698,704,705,711,748,751,769,777,785,805,829,842,850,862,869,892,899,903,936,950,964,968,981,986,991,995], % 112
[14,21,24,29,34,37,79,87,94,107,112,117,148,149,152,161,165,170,173,176,177,180,186,204,208,210,218,221,229,231,233,240,268,271,289,301,302,324,337,348,352,371,392,402,414,415,431,444,446,455,471,481,482,485,493,496,498,500,517,520,526,544,554,556,559,576,586,626,650,655,657,658,681,724,729,732,736,748,764,771,772,773,777,801,803,824,826,827,849,850,867,876,882,892,896,903,912,914,918,923,925,952,983], % 113
[13,23,47,55,60,64,65,89,93,96,99,112,116,138,156,191,197,207,213,225,230,242,249,268,270,273,285,312,323,331,346,359,371,427,434,441,443,453,458,487,488,499,512,513,515,520,547,554,556,565,574,576,581,583,584,596,598,609,619,620,622,629,640,662,671,690,702,706,717,724,734,758,779,784,795,804,810,819,866,869,870,872,896,907,959,962,970,992], % 114
[1,3,4,5,6,23,24,27,28,51,54,70,72,103,142,154,171,189,198,202,208,215,227,237,248,256,278,279,280,300,303,322,323,324,326,333,347,364,378,401,404,413,419,422,436,437,441,442,481,503,510,528,529,530,538,561,563,573,578,581,597,631,665,673,711,721,726,738,751,758,760,761,763,787,789,801,804,808,810,816,821,823,839,871,876,882,886,897,907,918,920,934,957,960,962,969,974,976,981,989], % 115
[7,24,46,56,64,69,75,88,91,99,125,164,184,196,199,204,207,222,243,247,249,267,275,282,293,295,333,365,367,373,374,375,402,407,414,417,422,435,441,446,459,468,477,518,529,531,533,545,549,575,587,593,602,627,629,641,663,677,697,709,712,720,737,741,750,758,769,771,782,791,804,818,819,830,836,842,845,848,858,861,863,903,930,952,957,959,965,995,1000], % 116
[3,20,23,32,44,47,50,51,61,70,73,76,81,84,90,112,121,125,146,169,170,182,191,213,219,224,226,228,242,244,265,267,274,284,287,288,293,294,295,305,307,311,312,326,329,333,339,353,367,378,390,395,401,404,406,407,413,427,428,434,445,452,456,483,491,493,502,504,513,534,535,540,550,552,563,576,584,587,593,601,621,677,683,691,703,706,728,729,767,775,780,808,814,817,818,826,840,846,850,857,858,884,894,910,912,961,962,972,979,981,984,990], % 117
[5,33,35,63,68,78,82,100,120,122,130,132,156,159,166,176,184,197,199,203,236,239,253,267,269,277,298,304,306,307,332,342,353,362,369,398,403,408,418,420,435,436,439,471,487,516,546,560,574,579,583,587,592,596,606,619,629,630,648,674,680,689,701,716,748,761,764,767,781,793,804,810,842,861,878,880,881,891,914,916,921,925,939,958,978,990,992,996,998], % 118
[26,49,63,69,79,82,93,103,123,129,138,143,173,193,200,224,231,235,249,306,308,312,331,336,341,346,350,383,386,401,416,425,436,459,495,503,507,515,516,518,519,524,547,548,559,579,584,586,592,597,599,607,614,615,624,630,634,639,645,660,670,691,696,699,705,710,714,756,760,765,772,774,793,805,812,835,838,839,841,851,864,868,873,882,889,892,894,896,917,929,941,952,957,966,973,977,991,997], % 119
[8,19,29,61,64,98,126,133,140,143,149,169,170,172,180,187,205,211,221,227,228,243,246,254,263,267,296,298,299,311,313,323,327,348,364,375,376,384,398,408,421,428,455,462,471,472,485,538,549,559,575,587,588,610,636,640,645,662,663,669,681,682,696,712,716,741,753,760,771,776,790,794,799,822,827,836,840,848,864,866,873,874,897,906,913,915,927,949,958,981], % 120
[11,25,33,40,44,45,52,55,63,111,115,124,144,148,156,157,190,203,210,211,231,235,241,255,256,268,280,283,295,296,314,319,320,336,341,359,363,406,414,416,422,429,444,493,507,511,528,529,546,549,560,570,589,597,638,642,644,675,683,688,702,711,724,730,738,750,781,786,797,811,817,819,820,823,835,837,847,848,856,870,873,888,902,909,910,927,935,940,950,961,965,968,974,976,985,987,988,989,995,998], % 121
[3,18,21,51,79,85,110,111,121,126,129,141,162,173,217,224,237,261,267,274,291,301,334,371,374,384,412,430,457,484,493,503,514,534,548,559,578,606,613,633,635,657,662,675,699,703,715,742,754,759,768,769,782,797,834,854,878,880,881,894,900,920,934,940,968,989,1000], % 122
[13,17,40,52,55,56,58,73,96,101,103,106,109,113,117,118,141,143,144,146,150,154,159,184,201,203,253,257,260,262,268,301,304,306,323,342,346,348,352,364,373,377,390,391,403,407,435,436,449,454,456,457,460,472,505,506,547,557,564,570,593,621,630,634,640,644,645,652,670,678,698,703,712,718,725,727,735,737,744,767,772,780,783,790,792,800,805,806,809,836,837,838,850,852,855,857,859,865,883,884,885,887,888,894,900,903,920,927,936,963,974,995], % 123
[1,10,18,25,28,31,39,49,56,92,105,126,129,131,134,139,149,169,182,192,202,217,230,232,238,266,276,281,291,305,309,324,343,347,357,359,374,378,395,400,417,426,455,471,474,476,492,506,508,519,523,528,533,535,555,558,578,585,586,597,605,625,634,640,659,695,696,703,713,724,727,731,753,754,757,772,776,782,790,833,837,849,852,855,856,883,892,901,905,912,922,927,930,936,990,992,996], % 124
[4,8,30,51,65,79,82,83,89,98,99,128,138,140,142,143,147,148,168,184,189,198,203,211,214,223,224,240,250,261,276,289,313,317,346,352,366,372,380,382,384,432,434,438,452,471,489,500,501,504,508,514,524,546,552,562,574,576,578,602,604,605,620,628,634,640,668,671,674,678,683,687,690,708,711,723,738,747,762,782,784,785,800,806,809,813,822,827,835,836,843,873,881,885,894,919,930,931,946,952,972,985], % 125
[4,5,7,11,34,39,74,90,129,149,177,182,189,194,204,232,237,243,265,275,288,314,341,358,364,374,406,414,424,437,443,447,474,496,510,517,524,534,540,558,585,586,608,612,616,630,639,665,680,692,699,732,756,788,789,793,796,803,809,811,828,830,833,837,861,866,869,878,881,892,903,919,932,934,947,959,965,966,968,991,1000], % 126
[23,43,44,56,57,87,94,97,104,123,124,134,146,164,181,192,215,223,251,262,288,309,321,324,342,344,359,362,372,378,384,387,388,391,411,431,440,450,451,464,474,491,496,499,506,518,523,525,528,532,535,539,553,557,558,559,562,593,605,638,641,643,650,662,673,684,709,721,727,730,732,738,770,776,826,832,835,852,862,865,866,873,878,882,898,908,913,922,939,940,951,953,958,975,980,981,992,993,994], % 127
[16,33,38,39,41,47,48,49,50,54,67,103,105,107,109,116,137,141,148,149,150,174,181,191,201,207,223,233,250,252,254,267,281,308,314,325,328,329,334,335,343,347,349,361,370,399,404,412,418,450,455,456,458,494,511,521,532,543,552,554,565,574,587,588,589,593,604,621,655,660,669,678,698,707,717,761,769,773,783,787,814,819,829,866,875,915,924,952,955,974,975,978], % 128
[19,28,32,46,51,53,62,69,84,87,88,89,109,135,138,148,157,173,178,200,209,211,213,218,224,234,237,238,270,278,289,291,292,305,307,310,312,319,325,327,329,344,350,374,375,379,389,399,409,432,437,448,457,475,478,483,494,502,503,510,515,517,519,530,535,545,546,548,551,569,610,613,650,656,658,663,670,672,687,691,694,695,699,703,710,719,721,723,724,728,731,741,743,747,754,756,759,764,766,789,798,801,817,852,854,857,858,870,878,881,890,893,902,913,920,938,940,942,961,962,973,975,984,985,986], % 129
[39,51,64,70,76,111,124,139,147,170,194,195,213,214,237,264,267,268,269,274,279,284,289,304,305,316,322,332,335,364,380,385,393,405,423,424,437,443,453,462,502,514,531,537,540,552,558,568,577,584,595,615,627,629,631,639,642,648,680,681,691,696,707,715,734,736,740,750,755,776,791,803,815,844,856,871,878,900,902,906,941,942,945,973,992,993,997], % 130
[7,25,27,35,36,37,45,46,107,152,160,173,174,191,207,230,231,283,297,323,330,362,365,368,378,379,402,403,414,416,417,421,429,452,458,472,479,487,492,496,501,506,510,520,530,534,552,553,565,567,570,594,602,607,628,637,657,692,695,701,702,717,722,726,736,740,741,753,754,755,757,762,763,780,795,796,807,811,817,821,822,824,825,828,829,836,842,847,864,891,914,919,930,975,981,983,991,997,998,999], % 131
[19,23,27,35,44,48,50,53,55,60,66,72,84,95,101,103,112,118,122,134,140,148,149,153,167,172,190,194,199,206,208,212,218,223,239,277,287,302,308,311,313,325,328,336,360,362,384,387,391,399,402,415,422,426,440,443,483,484,490,500,513,515,516,522,536,544,553,570,571,594,595,623,635,643,646,647,651,652,658,661,662,680,693,709,714,724,730,754,769,776,778,781,793,800,806,810,835,839,841,855,859,883,887,892,895,915,922,928,939,943,950,955,960,986,996,999,1000], % 132
[10,16,17,23,48,50,51,55,62,63,78,79,113,121,137,149,151,157,158,159,163,182,189,190,210,212,215,225,229,239,252,276,283,294,295,319,329,341,347,349,369,384,394,395,397,403,406,426,428,430,438,442,455,456,479,502,504,508,524,536,539,546,550,551,568,571,572,577,579,581,588,589,598,623,628,630,634,663,677,684,689,690,702,734,738,750,754,757,762,767,788,790,810,828,840,909,920,929,933,934,937,950,969,990,992], % 133
[26,29,31,33,36,37,50,59,62,65,75,84,101,102,108,121,162,164,173,175,178,192,207,208,209,217,228,243,262,285,294,304,307,308,313,344,363,370,385,418,421,424,432,439,449,471,490,501,516,519,520,525,538,542,544,547,568,605,607,619,623,634,640,643,644,653,657,662,665,671,676,677,680,699,705,708,709,713,719,735,753,754,783,786,799,807,816,834,841,850,858,871,874,879,902,908,916,918,921,922,934,955,956,959,994], % 134
[2,19,42,46,57,58,87,118,127,128,136,144,152,165,168,174,188,193,203,228,248,250,259,260,280,311,326,345,347,369,372,376,377,400,412,420,427,433,454,458,473,484,499,508,520,524,533,546,562,576,588,596,605,618,639,647,655,669,680,711,729,733,742,744,757,759,762,767,784,804,820,831,835,836,849,850,856,862,863,866,873,877,907,914,916,939,952,953,961,962,974,975,983,994], % 135
[9,10,23,30,31,37,49,52,59,62,63,65,86,95,107,113,147,153,164,169,171,173,177,189,193,200,211,223,229,237,243,266,279,300,304,314,320,329,330,342,350,351,353,368,374,390,395,404,417,429,434,443,458,460,492,499,509,522,528,550,555,556,559,564,574,576,583,600,601,608,609,621,622,626,628,634,637,642,643,645,651,653,673,677,686,706,719,727,733,742,747,759,767,771,787,800,810,817,819,825,827,833,836,841,842,853,877,881,884,903,911,932,965,974,994,997], % 136
[1,13,14,17,18,20,36,57,69,70,71,76,108,113,118,119,142,148,149,157,159,175,182,203,213,234,239,268,270,271,290,293,315,342,354,358,368,376,378,379,382,386,389,394,395,399,406,407,413,422,443,449,450,458,470,477,483,489,522,547,560,563,571,582,583,585,586,589,599,603,621,624,629,633,635,640,652,657,658,664,671,672,675,676,678,680,715,734,737,745,750,758,765,771,787,811,826,869,886,889,908,911,937,944,951,965,972,973,982], % 137
[2,14,22,35,40,45,73,102,106,136,140,143,167,169,183,195,202,210,212,217,243,256,264,273,291,313,314,325,344,349,354,374,377,383,384,397,398,425,433,442,445,456,457,480,491,500,501,504,515,516,523,529,531,545,569,570,578,586,598,604,609,647,651,656,663,667,695,709,747,756,776,785,801,803,815,816,826,834,836,838,844,883,890,893,897,900,909,934,951,958,961,968,970,971,976], % 138
[2,33,37,39,44,62,65,77,88,91,114,123,130,136,142,144,145,156,176,210,216,217,224,226,238,272,274,281,291,313,316,329,354,355,359,376,384,392,405,407,414,426,432,441,454,470,471,473,495,517,524,525,531,533,543,551,555,560,565,567,575,577,582,599,613,617,621,622,623,626,637,642,652,653,654,658,673,687,689,694,702,703,713,730,757,761,770,776,777,781,793,804,850,855,873,875,896,898,931,933,938,954,956,960,969,975], % 139
[1,2,9,17,20,52,58,59,64,94,101,109,115,128,136,154,166,168,172,191,201,208,209,221,231,233,308,309,324,326,339,342,349,356,357,371,403,406,411,421,425,430,431,434,443,474,493,507,512,519,523,582,606,607,611,612,615,672,684,687,688,704,708,714,734,740,743,754,768,795,798,816,819,834,836,845,846,851,862,883,895,901,902,912,915,925,935,940,945,948,954,963,965,985,987], % 140
[16,20,42,51,53,57,59,69,83,86,88,96,115,124,145,148,158,162,163,170,181,189,195,212,213,218,224,252,263,267,280,291,305,310,316,320,330,334,359,363,386,390,401,413,416,417,424,445,454,478,487,492,502,513,515,519,524,531,544,557,563,606,609,616,619,651,656,662,669,672,685,694,711,713,720,723,728,729,730,760,761,766,767,804,811,813,832,850,860,862,880,889,897,900,910,919,920,929,930,942,980,990,1000], % 141
[19,24,27,31,47,54,58,63,65,94,97,109,131,154,155,164,165,177,181,183,201,202,207,211,226,228,243,266,275,277,291,294,310,314,316,317,321,352,360,378,410,411,413,431,433,435,443,448,451,462,466,481,488,494,497,505,511,512,517,528,530,541,556,570,573,582,594,612,616,638,646,649,654,700,703,708,713,714,715,722,724,735,739,740,758,766,771,798,802,814,822,826,829,830,837,864,876,882,889,895,926,933,937,944,946,947,950,964,982,987], % 142
[9,10,11,16,22,24,39,50,78,82,113,118,124,127,138,154,163,173,210,217,222,243,259,271,288,304,308,316,319,332,339,340,349,359,366,379,381,382,389,410,420,431,436,449,451,461,470,473,478,482,483,486,487,493,494,501,514,520,528,540,543,547,567,573,574,583,605,606,612,614,615,664,684,702,705,727,732,759,763,766,779,787,790,797,817,826,847,855,858,862,868,876,882,906,925,927,931,937,944,981,988,992,996], % 143
[5,7,16,20,59,61,92,102,104,114,126,127,145,147,178,180,182,184,191,202,220,238,246,248,267,285,288,315,327,339,346,354,360,373,395,397,403,407,422,423,424,431,437,444,447,455,466,469,475,483,487,504,517,518,538,539,549,559,562,565,570,582,589,595,598,634,650,657,672,674,678,681,686,720,740,761,768,782,793,794,795,796,826,837,841,842,844,847,869,880,887,892,895,898,906,923,931,952,965,974,981,988,992,997], % 144
[6,11,14,30,47,68,75,84,85,87,89,111,170,192,193,210,218,229,258,259,263,292,293,296,325,341,342,356,363,383,388,393,410,433,451,456,479,521,522,551,553,558,562,574,575,579,596,600,644,648,666,672,677,694,697,700,707,711,722,731,740,743,759,762,764,777,802,826,841,851,863,868,871,882,891,906,912,933,940,945,973,975,978,996], % 145
[24,39,40,47,62,63,66,71,73,83,114,116,119,122,144,150,155,164,168,173,189,190,196,204,217,220,230,233,234,242,243,260,313,315,320,321,324,341,345,346,377,402,417,423,424,435,461,463,464,468,470,479,485,486,498,502,516,527,529,539,559,561,571,588,610,613,618,621,623,624,625,627,644,652,657,678,702,703,712,716,725,731,740,746,754,756,760,781,802,806,817,824,826,835,872,873,878,882,921,947,964,989,990,993], % 146
[10,11,14,24,25,55,59,65,80,81,83,91,99,107,110,113,115,132,174,181,203,220,226,234,242,260,264,270,274,275,276,280,294,299,309,313,378,384,409,437,469,510,517,529,537,557,560,583,612,624,636,649,660,674,675,680,688,696,701,722,734,745,759,762,769,773,777,798,805,820,828,843,852,853,856,875,876,883,891,918,925,931,934,943,944,960,976,995,997,1000], % 147
[1,19,51,52,80,87,98,115,140,144,145,146,158,175,212,218,223,228,230,233,267,278,281,288,295,306,312,317,338,352,373,383,385,393,396,406,411,417,422,424,441,462,469,472,474,476,481,484,486,493,497,504,505,513,529,533,537,543,549,554,577,590,591,596,624,635,642,667,669,678,692,717,721,722,733,737,752,761,778,793,796,798,869,892,906,909,916,929,933,935,936,938,956,959,970,979,981,991,994], % 148
[1,2,9,14,16,19,29,38,41,55,82,84,103,111,116,126,158,176,177,179,193,199,204,208,214,217,218,219,232,233,245,250,257,265,274,284,294,304,318,342,343,345,350,353,355,358,369,375,385,388,397,398,419,424,428,456,465,485,490,497,501,508,528,535,544,576,578,596,620,637,641,652,669,672,686,691,715,718,722,744,756,759,760,763,766,770,818,830,852,860,862,869,880,888,909,911,915,927,934,936,937,939,944,951,964,971,979,993], % 149
[26,29,39,52,62,68,82,103,107,112,119,127,144,168,176,182,189,194,209,210,232,258,260,272,281,284,291,297,302,303,304,307,313,314,315,317,319,334,342,355,359,374,383,399,402,406,409,425,430,437,438,462,467,469,472,476,481,487,494,514,515,520,526,527,540,556,561,578,580,588,590,595,596,617,618,641,655,670,707,712,716,729,740,741,755,768,769,771,773,798,821,825,837,843,844,855,881,883,884,894,908,909,945,962,967,969,973,974,988,995], % 150
[5,36,46,53,66,70,77,88,94,149,152,167,178,182,185,192,219,229,238,278,290,295,296,301,308,310,317,332,341,353,358,359,366,377,394,400,442,444,461,471,485,499,504,535,536,548,559,562,580,581,585,594,606,615,617,619,628,641,642,645,656,661,663,682,688,692,695,703,718,753,761,762,776,780,782,787,788,805,830,857,858,873,880,885,894,898,908,912,919,920,927,928,941,951,957,958,972,987,992], % 151
[9,12,16,17,26,41,52,57,58,61,62,71,81,96,102,103,124,125,129,132,136,141,154,159,166,171,179,182,187,192,216,238,256,270,275,282,308,310,311,314,315,316,324,325,337,339,343,361,366,368,381,399,411,415,417,421,428,440,461,470,479,483,489,494,499,502,506,518,549,566,569,571,586,587,595,596,605,659,662,688,691,704,714,720,725,739,758,769,771,779,788,798,801,826,836,854,896,900,902,932,942,946,949,964,967,969,971,977,980,985,988,994,995], % 152
[6,22,30,42,46,64,95,103,104,105,114,138,150,154,163,171,175,177,185,193,206,212,218,232,233,240,253,256,266,275,306,307,327,332,335,345,361,367,369,374,381,396,400,414,421,435,446,451,465,471,475,481,483,490,491,505,523,536,538,554,555,558,562,566,568,583,595,622,634,659,677,679,680,700,706,720,738,744,753,762,776,778,785,802,829,838,873,874,875,886,888,897,900,913,941,949,960,994], % 153
[9,12,16,17,18,24,43,47,51,68,88,132,141,151,165,173,176,180,182,183,205,207,215,220,232,237,239,246,249,257,277,281,288,299,303,306,307,325,327,329,343,350,351,353,363,368,387,389,390,398,399,403,409,413,418,423,426,433,438,445,446,447,451,454,466,469,474,510,544,547,553,562,596,600,602,616,619,620,629,630,631,645,647,649,659,664,665,669,679,698,707,713,734,736,737,742,748,765,789,804,823,829,840,843,878,879,889,893,896,902,911,945,948,954,955,961,973,978,980], % 154
[4,7,9,11,14,22,72,78,81,88,93,107,112,114,120,122,160,171,182,185,191,194,202,203,204,206,207,216,218,231,238,247,255,288,325,326,334,335,344,352,357,393,399,402,404,406,408,421,426,444,456,469,495,514,520,533,544,564,566,579,601,602,605,606,631,638,653,662,666,674,687,695,715,716,725,733,737,761,765,766,782,787,791,804,813,827,853,861,865,868,872,884,887,891,918,919,939,941,944,963,975], % 155
[4,14,22,32,36,43,56,75,77,87,89,104,113,126,142,145,149,161,173,183,189,193,202,225,230,245,252,274,280,288,298,311,312,339,341,342,344,346,350,352,357,362,368,371,379,388,399,416,425,430,440,456,470,471,493,507,508,509,511,514,521,526,529,530,546,576,588,603,605,612,627,633,643,652,654,671,672,697,725,730,735,742,744,745,748,756,778,784,787,796,798,804,807,824,825,830,855,857,862,868,871,873,877,910,920,937,947,951,964,966,976,982,989,990,991], % 156
[1,15,16,39,52,54,73,101,103,108,114,120,136,144,145,160,164,174,176,178,185,188,191,192,199,202,235,236,242,257,282,288,295,306,317,322,329,358,400,426,432,455,465,473,478,484,515,529,539,547,549,559,573,588,589,598,599,631,638,661,678,679,682,691,704,722,760,777,790,793,795,823,841,844,853,861,863,865,886,890,894,897,902,962,970,977,998], % 157
[5,6,7,24,36,56,65,67,75,91,122,123,130,146,151,165,166,175,184,188,204,211,219,220,226,228,229,230,235,242,244,246,260,266,277,284,294,311,319,337,352,359,370,371,378,384,394,395,396,402,415,427,430,438,441,467,471,481,498,500,505,507,527,528,531,554,556,559,562,571,578,595,601,606,611,613,634,646,664,672,678,698,731,735,759,761,777,795,820,825,839,852,858,870,876,877,888,894,902,932,934,946,948,959,974,979,980,982,991,995,999], % 158
[20,23,27,29,36,42,85,114,118,131,137,145,156,178,191,210,213,226,237,243,248,255,267,287,291,301,309,323,324,336,344,356,357,367,369,372,374,379,410,416,420,424,462,469,472,484,488,503,506,517,533,549,567,571,572,574,587,592,615,616,620,622,624,641,645,657,674,679,686,701,715,722,725,728,748,761,779,804,812,833,836,842,843,851,862,868,871,875,893,897,919,922,927,945,971,975,984,991], % 159
[3,4,5,25,39,59,60,62,64,65,88,135,137,148,161,164,173,176,185,201,217,223,224,227,248,253,255,256,273,284,288,299,331,335,349,359,365,369,374,375,376,379,384,394,401,402,406,421,432,435,451,489,494,496,512,527,583,595,598,606,609,622,629,631,644,646,671,680,692,701,704,716,726,749,793,795,796,805,834,859,860,864,872,878,888,894,904,950,952,973,984], % 160
[9,10,25,31,33,43,53,65,79,82,84,85,87,88,91,98,99,118,123,138,149,154,160,187,194,198,204,209,210,222,224,228,237,261,262,275,285,302,308,310,315,324,327,352,362,387,392,396,403,410,421,422,429,461,471,473,487,490,492,516,530,531,537,539,543,546,547,559,561,564,576,592,596,604,615,617,639,645,651,660,670,677,692,698,705,712,719,722,745,750,756,760,772,785,788,789,792,796,801,802,807,819,820,821,842,843,845,864,865,892,913,918,928,929,952,955,961,962,973,976,991,999], % 161
[12,20,31,32,36,37,45,51,55,57,68,134,142,148,150,156,158,161,187,190,196,197,210,223,228,232,249,262,288,317,334,335,338,343,344,362,363,365,367,377,383,392,413,420,432,441,445,460,461,472,476,477,486,489,493,495,500,506,540,559,560,578,581,592,601,606,611,617,658,667,672,681,683,684,688,690,692,700,701,707,709,714,730,745,756,757,764,769,770,777,779,781,792,797,799,804,808,812,833,834,852,862,876,877,891,900,902,909,935,944,958,960,968,972,976,981,985,986,988,994,995], % 162
[2,4,11,18,20,32,36,37,47,55,56,72,77,78,84,85,96,104,117,122,137,141,154,159,187,241,247,259,267,271,286,305,309,310,318,322,328,335,356,387,414,424,451,455,462,464,491,506,507,513,521,532,535,537,544,551,552,563,569,571,574,575,578,596,602,610,617,622,633,635,646,659,661,670,710,729,748,749,763,779,780,795,813,819,845,848,851,861,879,897,916,945,952,954,981,985,987,993,997], % 163
[3,16,22,35,37,68,72,84,102,108,120,135,136,138,145,146,149,152,166,169,177,181,187,201,205,207,208,209,223,228,246,268,272,300,314,333,358,360,366,368,370,374,386,416,438,455,464,480,489,494,523,534,572,575,611,624,628,630,633,664,665,673,687,699,727,742,763,784,813,815,829,838,847,861,871,878,929,931,937,945,991,997], % 164
[13,40,46,52,63,67,70,75,82,84,91,99,101,117,127,136,137,149,169,180,181,191,195,199,210,225,234,244,254,258,277,283,293,298,301,306,311,320,326,331,353,421,423,430,476,481,482,493,506,512,531,545,549,554,562,571,588,610,611,623,648,660,678,687,693,697,704,724,727,737,749,770,789,803,806,809,837,855,911,924,931,948,950,954,981,983,985,988], % 165
[4,7,12,14,30,34,50,61,71,76,86,91,92,95,101,102,105,118,133,136,137,149,155,182,183,184,217,235,237,243,244,247,250,275,286,299,334,347,374,393,397,408,422,436,444,448,452,471,500,519,526,541,582,583,587,588,592,613,618,623,642,646,648,652,696,697,728,729,731,744,745,746,753,760,761,769,774,775,777,780,797,798,804,807,878,881,886,887,921,933,943,946,952,956,967,969,980,995], % 166
[4,16,17,26,33,43,62,100,101,103,106,109,126,164,168,186,189,190,197,203,214,222,239,247,248,249,252,267,286,317,321,326,389,400,405,409,418,421,435,444,445,450,473,504,505,511,542,545,562,567,580,595,623,626,637,639,646,648,659,670,677,679,680,707,718,722,723,736,761,765,769,774,775,788,804,806,816,820,832,833,835,862,863,873,880,894,906,919,920,926,945,964,968,972,975,1000], % 167
[5,14,37,42,50,77,78,80,87,93,94,100,101,102,126,138,144,164,167,174,239,242,247,261,271,304,307,344,346,358,370,376,389,393,404,414,423,438,439,448,451,453,462,475,502,508,528,536,578,583,589,596,609,611,617,625,651,658,665,688,701,705,711,712,715,728,733,744,751,764,781,785,789,807,815,821,822,831,833,836,837,843,862,863,885,902,908,912,940,959,962,973,975,988], % 168
[3,4,6,20,25,33,35,38,41,45,47,56,74,111,118,133,138,143,202,228,236,238,245,246,267,269,290,301,319,325,329,332,338,339,348,352,354,359,367,368,369,393,401,411,423,428,436,441,471,480,508,528,532,552,569,570,575,584,593,597,598,605,608,612,615,616,617,628,644,647,660,666,674,675,689,692,718,723,726,746,759,760,769,796,807,809,818,828,830,831,840,852,854,857,871,909,914,916,920,921,923,928,940,941,949,950,964,967,977], % 169
[3,12,16,24,40,45,56,60,63,66,73,84,122,123,124,136,142,147,180,182,195,196,201,215,222,246,251,252,263,275,277,294,296,302,305,313,314,325,329,334,342,354,355,364,372,378,380,381,391,395,398,423,447,465,471,472,476,478,485,513,515,516,522,524,527,531,539,586,591,601,607,614,626,628,653,662,680,687,690,695,704,706,708,727,737,738,739,740,745,761,771,779,781,787,798,800,805,853,854,871,872,879,885,892,903,911,913,919,920,922,923,930,935,936,940,966,982,994], % 170
[12,32,67,68,75,100,106,111,113,118,124,131,152,160,168,198,215,251,257,266,275,293,301,326,330,331,332,334,370,371,396,397,409,418,440,452,461,470,479,480,491,521,532,533,539,555,561,575,584,649,664,665,668,701,703,707,711,717,725,726,730,731,737,739,748,771,773,781,782,784,786,790,791,796,806,809,817,818,833,835,845,848,862,877,884,887,918,926,962,963,972,983], % 171
[12,16,26,32,37,41,45,64,66,72,80,87,96,111,124,148,156,180,186,198,202,205,221,232,248,254,260,262,266,267,283,291,305,329,333,334,341,365,370,390,395,396,405,419,428,432,440,451,456,474,488,492,494,495,503,517,520,525,529,538,549,552,553,556,573,587,609,611,623,624,638,666,668,669,688,703,712,713,719,723,725,736,740,741,749,753,771,809,814,835,842,853,858,863,877,882,891,894,902,912,930,933,938,969,973,979,989,993,995], % 172
[3,7,12,13,27,36,41,47,50,60,65,67,72,74,76,80,116,118,130,141,143,148,150,159,171,177,186,187,189,196,210,212,216,225,247,258,263,289,296,303,311,317,334,361,370,374,382,389,397,400,411,413,422,452,460,464,465,468,479,480,485,489,512,513,514,532,540,601,615,635,648,656,661,680,690,694,721,731,732,742,749,754,772,789,792,795,816,821,826,839,841,861,864,868,870,895,922,923,935,944,956,961,982,990,1000], % 173
[13,17,20,42,45,47,62,63,64,66,67,81,83,86,96,101,110,114,122,123,129,139,160,184,196,199,201,203,235,236,240,244,251,256,258,263,303,310,316,328,334,347,356,364,389,397,399,404,409,412,419,440,471,473,477,483,492,502,504,510,517,553,569,572,573,594,596,597,599,604,618,626,629,639,645,647,651,663,666,669,672,722,726,740,748,755,759,760,763,775,776,794,800,815,823,839,845,851,858,863,870,873,878,899,901,904,976,977,978,994,998], % 174
[28,48,50,84,85,86,87,88,101,104,106,132,152,155,156,158,195,200,203,211,222,230,245,259,300,313,314,326,329,336,341,346,355,377,389,402,404,422,424,474,482,492,495,497,510,512,524,526,542,558,567,577,580,604,606,608,610,620,648,650,665,670,688,709,711,713,724,735,756,767,773,776,795,798,802,806,813,850,862,864,910,923,924,940,944,946,959,962,966,971,978,980,981,983,994,998,1000], % 175
[4,43,47,59,60,66,69,83,97,111,125,132,150,167,199,213,219,226,233,252,254,262,264,285,291,295,329,332,338,371,374,375,392,395,408,409,410,424,462,463,467,481,484,491,493,514,523,527,530,539,580,581,587,594,599,606,607,615,618,632,633,644,655,658,660,665,668,670,671,672,687,705,737,739,743,745,754,769,781,783,815,816,824,826,839,869,900,937,939,959,961,976,979,981], % 176
[5,9,15,17,26,37,38,39,64,77,80,89,90,92,104,105,119,124,138,146,155,156,158,161,171,173,176,182,191,193,212,223,224,227,228,234,240,244,249,285,286,290,300,308,315,329,340,349,356,376,383,384,386,387,392,393,410,426,454,457,460,465,485,497,509,516,536,551,565,568,580,600,633,634,639,648,655,667,672,684,690,691,699,706,707,711,714,720,721,726,728,731,736,737,738,740,743,759,769,772,786,800,805,816,834,846,847,851,865,866,868,876,927,941,950,952,973,979,981,995], % 177
[1,4,14,22,26,35,37,54,55,59,63,67,69,97,112,118,119,132,149,179,180,191,219,242,248,254,280,292,294,296,305,310,314,321,323,332,348,351,354,362,375,396,399,401,405,416,421,427,430,438,450,472,475,483,485,490,497,501,503,521,524,531,539,566,577,606,616,617,633,643,648,652,657,661,662,668,678,690,704,721,728,729,745,748,787,810,811,816,828,830,832,861,864,869,872,875,894,906,908,912,919,944,952], % 178
[3,9,12,15,41,49,75,91,92,111,135,136,137,146,147,173,177,182,188,189,198,206,209,213,218,227,230,248,257,264,270,276,285,301,304,319,321,327,329,332,339,350,359,366,375,394,398,401,415,422,436,446,461,462,470,472,474,486,496,502,515,526,547,559,565,567,569,570,571,579,582,583,584,600,602,610,614,634,643,646,654,678,680,681,697,706,714,716,717,727,733,752,754,762,764,780,785,819,826,872,873,880,886,888,889,900,907,909,922,967,976,982,991,998], % 179
[1,6,17,20,22,23,29,38,52,63,65,92,105,121,149,155,176,178,190,197,225,244,255,264,287,301,305,310,314,317,318,338,353,359,360,377,382,395,398,417,420,425,445,449,459,463,466,489,516,521,530,544,551,562,566,585,607,620,624,649,652,661,664,673,684,687,693,714,719,728,732,740,746,747,760,775,787,799,812,820,831,841,844,852,853,878,888,890,898,899,900,905,908,937,961,963,968,974,983,984], % 180
[13,22,26,29,30,42,49,60,67,82,83,86,90,121,124,128,134,139,152,170,176,177,195,244,256,269,281,287,299,303,306,308,312,314,317,384,388,390,418,419,425,434,435,448,449,454,458,461,477,490,505,516,523,549,555,585,592,597,599,614,623,624,625,628,645,652,662,670,681,684,717,727,733,745,752,768,770,773,774,780,797,818,828,833,851,859,879,893,921,935,948,963,978,982], % 181
[13,19,51,62,64,71,72,92,108,111,113,129,133,144,147,155,175,189,192,194,212,233,235,239,243,245,247,254,256,261,262,268,271,272,275,279,280,315,320,332,354,364,369,372,381,382,386,388,407,411,426,451,453,457,469,473,486,506,516,543,554,576,586,601,614,626,646,655,662,668,692,695,697,701,704,711,719,722,728,729,752,754,765,771,785,800,820,828,851,882,887,892,901,902,923,932,944,950,962,980,981,993,999], % 182
[4,20,22,27,38,45,59,60,62,65,68,71,75,76,88,90,93,95,114,132,139,140,148,150,154,155,156,176,185,188,197,221,233,246,247,254,312,316,322,333,340,345,351,359,362,380,405,407,408,415,417,420,429,448,466,468,500,506,522,529,545,547,571,579,581,593,596,608,621,637,643,672,675,694,708,729,752,762,764,766,792,810,830,846,849,850,857,890,912,915,918,925,939,957,967,970,972], % 183
[10,11,14,18,37,49,66,80,97,123,132,158,165,167,173,175,177,179,187,192,198,223,232,236,239,242,248,259,265,266,281,289,294,301,305,307,314,315,327,341,347,366,378,379,380,396,401,403,408,413,414,421,426,442,447,454,462,470,481,484,485,487,494,498,511,515,520,526,528,533,609,621,633,645,663,710,714,721,738,743,752,764,777,785,808,818,822,828,834,852,854,858,859,861,877,891,897,905,937,939,941,945,956,967,988,993], % 184
[9,23,69,75,86,89,109,118,128,137,162,170,172,174,176,179,180,181,205,210,225,235,263,269,279,307,310,319,333,345,353,359,360,361,378,396,432,446,447,448,453,456,466,501,503,506,513,518,567,568,573,579,607,610,612,619,651,659,671,673,681,686,700,701,718,723,736,758,771,798,805,827,835,859,883,890,908,914,924,925,929,934,942,947,955,956,962,978,980,991,999], % 185
[2,9,22,27,28,33,34,58,72,79,86,98,103,106,107,109,117,120,130,169,175,177,183,185,200,212,240,256,271,273,281,286,287,292,294,295,303,308,312,318,323,325,326,366,387,415,419,426,429,431,432,433,456,463,479,493,497,506,508,519,531,533,543,549,566,590,608,628,641,654,678,695,702,708,712,714,716,718,729,737,748,750,751,766,774,779,780,791,794,802,808,813,815,821,838,848,853,858,878,910,911,927,956,987,988], % 186
[16,47,48,49,56,60,69,131,151,162,172,175,179,185,191,199,206,218,251,253,255,275,277,279,284,286,288,289,292,293,294,314,319,327,330,337,338,339,352,355,405,409,438,442,450,454,459,463,470,471,475,479,486,496,502,524,527,532,546,547,596,597,603,614,643,657,681,687,688,689,722,725,734,739,758,760,774,787,789,794,803,812,816,844,885,889,890,920,923,943,957,958,960,971,972,977,978,984,987,988], % 187
[10,13,26,29,52,53,60,102,103,134,145,171,176,189,190,195,203,204,205,207,214,216,219,222,255,269,271,282,300,307,311,314,325,334,351,355,366,372,382,388,407,429,433,453,456,460,463,481,494,509,525,538,554,566,578,580,588,595,606,616,617,634,636,643,654,676,685,687,713,721,722,732,733,735,761,768,775,802,804,811,815,816,824,834,838,841,853,858,861,892,901,908,912,930,934,945,958,974,981,984], % 188
[4,20,22,30,45,47,54,57,87,93,94,104,132,137,143,165,168,226,228,229,232,238,247,260,271,286,288,303,314,331,337,338,344,348,349,354,371,390,392,412,431,451,453,466,526,527,538,542,550,584,589,596,630,632,635,643,646,659,671,674,678,692,728,732,741,746,748,750,752,756,775,794,814,840,846,859,871,925,943,950,961,968,978,979,983,990,991,996], % 189
[5,15,21,36,48,58,64,73,81,96,97,101,113,123,131,145,149,160,162,166,180,182,200,221,233,239,242,246,257,268,272,279,332,333,340,345,349,354,361,362,383,395,408,410,422,435,439,446,454,470,478,480,482,492,494,507,510,528,537,546,550,556,564,567,609,611,625,628,634,639,663,665,676,698,702,704,723,733,743,756,780,781,808,811,823,824,829,833,836,853,858,862,875,880,888,911,959,966,973,980], % 190
[7,26,43,51,60,71,78,98,101,114,119,132,146,147,159,162,175,184,188,206,209,216,218,219,240,256,257,275,300,353,364,374,398,411,412,422,423,427,434,448,468,472,473,476,478,490,494,500,517,539,542,549,557,558,559,563,576,577,579,580,585,587,591,596,622,626,627,633,641,646,668,673,674,687,705,715,729,735,737,744,773,793,794,799,804,806,820,821,827,837,853,860,868,874,897,903,917,920,949,967,974,990,998,999], % 191
[5,16,28,40,46,47,51,54,55,62,63,70,72,75,78,85,100,130,151,153,162,166,174,188,194,196,204,208,238,239,240,253,263,267,281,296,297,335,339,356,357,363,365,384,386,388,389,390,392,399,405,414,425,446,449,461,470,481,483,484,490,496,503,533,546,560,597,601,618,625,629,640,678,683,690,703,725,744,758,767,784,792,796,813,815,837,839,872,874,893,900,905,906,910,912,922,927,935,943,965,977], % 192
[11,19,32,40,69,72,78,98,121,122,125,135,136,144,153,157,163,169,185,189,210,261,270,276,279,293,308,329,337,342,354,364,367,387,395,413,416,426,437,439,453,464,494,500,504,515,520,523,528,539,540,560,580,593,595,620,642,657,678,685,697,710,712,730,734,744,759,776,779,782,785,788,808,816,834,849,851,874,896,907,911,929,941,944,957,970,980], % 193
[4,12,15,25,36,39,47,55,62,73,98,102,105,111,125,127,135,141,142,151,163,169,173,189,196,217,224,236,244,261,266,271,273,276,282,292,307,311,314,316,320,341,346,350,385,411,413,422,429,441,447,457,466,484,489,503,515,524,549,550,555,558,560,591,595,607,626,637,639,642,648,654,657,658,660,665,672,674,680,689,702,715,739,746,753,762,782,789,792,798,804,814,816,817,820,832,836,849,852,857,874,875,879,888,909,910,917,947,952,962,983,984,999], % 194
[7,19,23,42,44,58,75,94,100,101,111,125,150,156,165,166,181,187,193,197,209,223,233,237,258,263,266,277,281,287,297,299,318,322,326,330,334,336,343,374,375,388,392,400,410,449,456,469,481,497,505,506,522,533,535,542,554,561,570,585,600,605,618,620,637,655,665,667,668,670,681,682,702,720,723,729,735,750,773,805,809,828,831,837,840,845,860,874,881,886,890,896,913,915,920,921,937,944,967,969,975,976,983,984,999], % 195
[10,24,28,32,38,47,61,63,79,81,82,88,94,101,111,115,122,146,157,159,177,181,203,215,218,221,223,234,252,260,279,287,305,328,341,342,352,357,359,369,374,376,385,393,397,446,456,469,472,475,496,498,531,532,536,540,549,554,566,567,573,578,579,584,592,609,632,637,638,661,682,692,705,709,712,720,722,723,733,755,760,779,783,806,816,818,821,833,839,843,870,900,936,948,964,970], % 196
[3,19,20,24,27,48,61,81,90,97,103,115,142,150,153,171,184,189,212,228,230,233,241,270,272,282,300,339,349,350,354,357,380,385,388,389,399,413,421,427,430,438,444,449,457,459,473,477,478,480,486,501,508,513,529,582,585,607,621,632,640,643,647,651,669,670,671,686,689,707,739,762,775,793,800,802,819,821,828,846,849,854,864,868,876,887,914,922,924,933,959,976,978,980,982,983,998], % 197
[2,10,29,32,38,47,92,95,98,150,164,184,199,217,239,254,261,271,273,274,280,292,297,344,350,357,367,368,375,377,378,381,382,387,434,435,439,447,521,546,554,559,591,592,596,598,599,605,607,621,627,636,639,640,649,651,655,660,667,679,704,711,739,750,759,764,771,778,782,792,798,811,823,828,836,839,840,846,858,880,887,892,898,926,934,937,942,946,954,967,972,977,978,992], % 198
[4,7,13,50,55,89,109,122,145,150,156,176,178,179,193,196,214,215,225,232,255,261,266,268,274,280,295,299,302,306,318,319,333,370,385,396,420,423,429,454,457,461,482,511,515,535,545,548,558,580,604,611,630,633,641,642,644,649,664,668,680,701,715,716,717,720,721,741,759,762,788,795,812,823,831,833,839,860,863,901,908,921,952,955,958,961,975,977], % 199
[2,4,6,7,13,16,20,34,38,40,66,71,79,82,101,103,153,175,205,217,219,226,241,249,255,259,285,302,329,333,354,366,375,382,386,397,418,471,480,484,489,490,510,513,514,519,524,531,543,544,550,553,565,567,576,579,607,610,611,614,642,648,654,670,674,684,685,698,716,720,726,730,746,756,758,768,769,779,785,796,802,816,825,847,852,863,870,875,910,921,925,951,954], % 200
[3,9,12,15,27,28,32,34,36,38,55,59,73,86,89,97,104,112,113,127,132,135,159,170,200,211,215,228,244,249,265,287,317,329,345,346,349,361,369,400,409,410,413,415,423,462,478,495,507,523,527,528,535,544,546,550,564,573,583,610,635,640,644,669,673,680,687,707,709,714,726,749,750,753,777,780,785,801,804,814,821,838,842,864,868,878,880,883,897,907,915,917,927,937,948,971,973,974], % 201
[10,38,40,41,43,59,61,70,104,106,114,134,147,160,169,170,180,188,199,206,228,248,258,262,278,279,292,297,308,321,336,353,357,361,373,374,387,391,393,394,396,401,418,424,442,454,466,468,479,489,511,547,548,551,584,609,615,619,623,624,633,647,651,656,662,685,686,689,698,743,750,767,768,772,779,784,787,792,805,808,830,834,839,844,849,851,863,875,876,885,890,922,953,960,970,977,1000], % 202
[2,3,21,25,29,36,44,49,52,57,67,77,81,83,85,98,101,116,119,138,148,169,194,204,229,239,243,251,253,254,256,257,262,277,315,316,346,369,398,410,412,415,419,421,423,438,444,448,453,466,483,495,505,507,518,522,528,533,556,561,565,567,577,589,611,624,625,631,634,637,647,655,673,691,694,710,729,731,759,767,777,787,802,810,818,828,836,855,856,871,877,950,979,991,992,993,997], % 203
[5,8,9,11,22,33,42,49,56,75,79,80,90,94,99,110,116,119,126,150,176,187,190,192,202,205,212,215,218,241,247,251,263,275,284,285,299,311,313,323,336,340,355,366,367,375,385,400,402,406,412,428,430,432,446,447,448,477,484,488,493,502,513,525,526,541,559,571,574,598,617,619,627,630,639,648,651,664,673,682,693,700,701,707,716,719,728,729,731,733,744,751,756,767,771,774,778,785,793,798,801,804,817,818,834,838,861,866,867,876,884,888,895,926,932,938,942,946,947,948,970,981,985,999], % 204
[6,10,20,24,50,67,76,83,88,92,94,108,138,167,199,212,218,224,233,237,242,259,264,268,270,293,299,305,310,312,317,323,336,361,370,371,378,379,395,399,410,415,426,454,460,463,492,498,501,522,533,542,565,569,588,590,596,610,624,626,635,636,651,668,696,714,722,744,764,766,770,780,787,798,816,825,836,851,867,870,876,892,907,925,932,933,938,939,943,952,968,994,995], % 205
[1,24,42,43,54,66,77,89,97,102,106,115,131,138,140,141,164,166,169,178,180,181,182,188,258,260,270,276,280,281,283,286,295,298,316,326,334,338,341,374,376,391,406,412,420,429,444,454,460,484,494,509,511,513,519,546,552,594,600,630,634,640,668,679,683,693,696,737,746,747,748,752,779,782,783,826,833,854,856,859,861,864,867,875,878,888,902,905,908,911,934,949,956,960,962,988,990], % 206
[6,20,27,41,52,61,65,74,79,83,86,94,102,119,139,146,154,160,163,166,169,173,187,193,194,196,197,200,218,228,232,247,249,250,256,257,260,272,283,286,287,295,319,335,354,369,376,377,381,382,383,415,422,452,453,454,480,490,498,501,503,511,516,541,547,549,555,557,569,580,592,593,608,627,635,639,641,650,653,662,682,686,690,707,714,741,742,753,766,767,769,770,776,779,790,801,818,820,822,823,833,834,843,844,845,851,859,865,876,895,909,929,930,958,960,966], % 207
[12,16,43,60,63,68,71,84,86,90,100,109,112,115,121,123,128,136,141,143,154,171,194,217,220,223,234,241,248,252,262,263,265,269,271,272,282,297,313,335,342,352,357,359,364,367,372,378,412,417,422,424,427,433,451,454,464,470,481,510,524,528,555,562,566,584,611,618,620,624,631,638,653,656,662,663,674,685,692,705,721,724,727,735,740,766,771,775,782,789,794,813,815,825,830,832,849,862,875,882,884,885,887,890,891,896,900,907,908,921,923,927,928,938,963,998], % 208
[19,33,42,66,112,117,120,138,162,163,168,169,170,176,203,215,234,240,254,256,263,266,277,287,295,296,300,317,324,332,336,345,349,357,370,381,417,420,421,440,478,485,510,519,523,538,552,561,562,583,587,592,622,626,637,652,673,674,687,697,706,707,714,720,724,747,748,757,760,764,768,787,796,797,813,828,837,840,843,875,892,898,899,903,904,957], % 209
[24,28,37,43,62,67,69,81,82,90,102,104,111,113,120,143,146,175,192,193,200,204,209,216,224,227,230,245,256,257,271,275,280,285,291,302,314,330,341,348,352,356,362,371,378,381,389,392,398,401,405,412,420,421,426,443,445,453,490,511,522,530,533,539,541,543,572,586,593,594,595,619,627,636,642,657,662,672,675,702,711,714,717,718,722,740,751,776,782,792,799,807,816,818,820,821,836,849,850,858,869,876,898,900,912,920,921,956,965,966,971,974,980,985,986,989,992,996], % 210
[3,5,8,15,18,36,42,46,50,56,64,66,68,71,74,96,112,151,157,163,168,178,183,184,185,190,192,208,222,228,245,260,270,272,273,275,277,284,302,303,323,337,340,342,344,347,352,353,358,359,363,370,390,392,399,400,407,413,416,424,447,452,455,456,472,479,483,505,509,515,552,572,581,603,622,624,627,637,643,644,649,657,658,666,700,704,733,739,740,743,748,754,780,795,799,819,829,858,867,874,875,878,904,910,937,944,945,955,962,989,992,1000], % 211
[5,10,17,18,23,25,53,54,55,57,62,84,87,110,114,116,121,127,130,144,158,167,182,184,187,199,205,209,217,226,242,254,268,273,281,302,304,330,333,335,351,352,367,378,379,403,411,412,418,421,429,435,455,478,487,493,504,507,511,517,518,528,545,549,553,555,574,581,584,596,620,650,666,673,683,684,696,707,733,755,770,791,800,804,806,815,843,850,851,867,881,902,916,920,932,940,961,966,983,992], % 212
[2,16,18,21,42,48,49,51,53,56,62,90,107,108,109,110,121,129,132,136,143,156,158,168,175,187,198,201,207,208,216,229,238,251,284,301,302,318,336,342,364,367,402,424,429,440,450,455,458,461,469,476,479,491,498,501,503,509,519,535,539,548,568,578,581,599,632,635,649,650,667,674,677,689,703,705,726,727,759,772,773,786,792,796,799,801,817,821,823,832,853,854,857,895,899,915,920,921,928,971,974,979,988,993,995], % 213
[2,10,20,45,53,68,100,110,111,112,115,122,124,144,157,171,174,190,194,199,206,226,245,270,273,292,295,302,321,322,329,332,333,352,375,388,389,390,391,402,422,432,446,447,454,464,474,475,482,483,495,501,510,513,517,534,541,550,554,555,563,564,607,611,615,632,637,639,644,647,648,651,655,657,666,673,716,723,724,736,740,746,747,756,784,795,805,817,821,831,840,844,863,880,886,891,893,904,910,924,925,930,931,936,946,953,961,973,980,984,995], % 214
[5,20,28,32,54,55,61,72,86,92,98,113,148,171,199,213,277,291,299,324,343,348,350,353,396,402,403,404,409,415,434,455,471,472,476,479,484,486,501,508,509,524,526,537,552,595,626,637,641,658,659,666,668,685,694,695,696,716,721,733,742,752,759,762,770,772,773,777,794,802,816,824,832,842,851,853,859,873,882,899,904,905,910,915,923,926,927,929,942,959,988], % 215
[21,27,35,49,64,66,74,84,123,126,136,141,144,179,181,184,198,222,228,256,262,270,288,334,338,361,372,376,378,379,388,400,425,440,449,455,473,484,490,497,498,511,522,542,552,553,563,587,589,596,602,610,611,616,628,629,641,667,669,674,681,692,696,701,702,712,718,724,727,730,739,747,753,756,772,778,780,807,815,825,836,839,852,865,883,902,914,927,941,952,982,983,995], % 216
[1,8,21,31,44,66,70,94,99,100,105,108,119,121,125,130,137,144,152,158,185,190,192,193,205,210,225,235,259,302,335,356,359,380,381,387,392,393,405,415,423,425,427,447,451,452,458,462,471,472,474,503,504,511,512,523,530,531,545,548,552,560,568,592,608,637,640,658,662,668,680,713,721,723,725,727,728,738,739,740,752,761,764,768,775,799,803,821,824,828,832,847,848,873,908,934,962,967,982], % 217
[4,8,16,25,57,65,77,88,91,101,106,107,122,128,129,133,137,150,158,185,192,199,202,204,213,231,232,276,286,316,320,333,366,368,370,371,379,412,456,467,468,469,496,497,522,524,525,530,549,552,558,583,604,613,632,636,646,649,663,664,665,683,701,709,711,752,753,762,763,770,778,783,791,796,797,809,815,819,827,828,842,851,854,855,862,865,868,878,882,893,894,905,912,917,923,932,933,961,962,966,973,996], % 218
[7,17,19,35,42,53,55,64,70,108,118,130,140,160,167,171,175,194,241,243,248,258,266,294,298,317,323,362,365,371,377,392,395,401,405,431,434,452,454,459,472,498,503,537,539,580,581,583,605,611,622,637,650,668,672,674,679,686,704,707,722,760,762,765,766,778,787,788,789,794,808,812,814,820,843,855,866,867,884,893,915,925,944,967,970,995], % 219
[1,9,11,15,17,81,84,90,97,116,124,132,137,140,146,156,159,167,175,176,179,191,196,217,218,225,230,236,238,249,278,283,288,299,302,305,311,312,316,333,346,355,379,382,402,415,435,460,469,478,490,493,494,495,496,499,537,543,553,565,571,575,589,596,608,634,647,649,655,668,691,696,699,718,727,747,762,780,784,794,802,850,854,864,868,872,877,881,882,889,903,915,920,923,925,929,938,939,944,956,959,964,968,986], % 220
[9,17,30,53,57,60,78,86,88,91,96,101,109,113,124,128,134,138,155,173,182,190,191,196,203,240,254,273,280,288,292,294,308,327,339,351,352,356,372,375,377,379,382,390,395,411,450,464,478,486,488,516,528,529,543,546,552,553,560,571,575,589,601,603,620,632,641,666,667,673,677,694,709,733,738,745,756,760,778,785,788,792,821,823,838,845,848,878,888,889,900,914,925,931,946,971,1000], % 221
[7,28,39,41,42,50,51,53,55,69,86,89,96,144,146,151,153,155,176,178,183,184,189,190,196,218,219,250,262,272,279,283,296,331,333,336,365,375,380,383,390,392,398,403,423,433,434,438,442,460,468,469,510,516,519,531,539,540,543,544,546,559,564,565,584,585,605,610,620,621,624,634,643,659,668,671,672,681,689,695,700,733,735,751,752,755,778,786,789,790,801,804,809,813,822,833,835,843,847,851,852,853,855,857,859,865,875,884,887,892,907,913,920,926,942,948,961,968,973,990,995], % 222
[21,73,78,96,106,116,127,132,136,140,176,183,189,192,213,228,235,237,246,262,297,301,308,330,335,343,350,361,367,368,375,383,397,406,417,447,449,469,478,514,518,526,528,542,583,591,600,623,627,628,629,638,645,653,656,681,686,711,714,760,761,772,785,796,798,816,824,834,842,846,851,881,889,909,910,926,941,949,955,958,959,963,967,975,982,987], % 223
[17,21,33,36,54,57,64,80,97,104,118,121,126,130,140,153,154,166,170,172,183,199,222,239,251,252,260,271,280,296,302,303,311,320,335,350,361,367,368,373,383,396,400,430,474,475,487,490,496,498,505,507,513,519,521,531,537,546,550,563,585,589,601,606,607,645,646,650,658,661,669,673,674,682,685,686,687,710,711,715,728,737,770,778,779,781,790,801,831,851,854,878,895,902,913,926,929,942,945,954,958,959,987,995], % 224
[2,10,15,28,42,47,50,89,103,124,129,148,150,155,156,158,160,166,171,176,178,181,183,213,223,247,250,261,269,270,298,301,307,314,324,329,331,332,333,334,345,357,382,398,399,404,405,415,418,433,461,468,477,479,480,504,505,507,511,517,527,533,535,541,542,548,549,550,555,558,571,588,591,594,612,613,617,620,623,638,640,657,658,687,691,692,701,706,709,713,725,733,734,746,755,777,782,789,805,813,819,861,868,906,920,926,938,949,961,964,968,970,977,980,993], % 225
[3,7,23,30,31,36,42,43,54,63,64,65,66,75,96,103,111,113,117,123,130,135,143,154,172,176,185,189,201,206,210,219,222,243,254,278,310,327,328,341,344,351,352,360,367,400,418,433,434,442,443,444,479,485,489,491,507,518,525,530,535,538,554,562,574,575,577,588,596,605,614,618,653,654,660,683,691,701,708,748,755,762,785,802,817,819,846,854,865,873,882,883,897,910,915,923,949,954,958,965,968,972,990,993], % 226
[21,22,37,46,87,120,124,127,137,144,151,153,178,189,195,206,234,237,251,286,297,311,319,328,329,346,353,391,392,415,441,482,491,497,504,509,510,527,531,534,539,545,547,551,555,563,566,575,576,578,579,596,611,617,621,634,636,637,667,677,682,686,691,698,699,713,716,722,733,742,746,750,765,796,799,807,819,829,831,836,840,845,867,871,881,907,928,933,935,937,945,952,974], % 227
[4,9,13,59,69,70,77,93,94,98,105,122,129,151,158,160,162,164,165,172,185,188,193,203,234,242,248,276,296,301,334,337,339,348,357,360,365,369,384,388,390,393,394,401,421,423,427,428,433,434,450,462,465,468,487,494,509,533,534,588,601,609,625,626,633,643,661,665,671,674,681,690,694,699,701,713,718,726,734,736,747,754,766,776,784,803,815,816,835,840,844,854,865,871,875,881,883,884,896,907,913,919,924,925,930,938,939,942,944,946,949,971,980], % 228
[3,20,39,48,76,89,95,102,104,115,127,139,141,145,152,172,180,197,207,217,223,237,245,259,289,294,305,325,332,339,363,364,369,371,384,387,390,395,401,405,426,430,438,493,501,511,512,524,539,548,552,574,588,589,604,617,621,627,636,651,653,654,662,694,729,740,746,774,778,789,791,802,814,821,844,852,894,896,897,901,917,939,940,954,976,982], % 229
[4,10,13,15,17,24,47,54,58,62,63,85,98,113,116,122,130,139,141,156,160,184,198,211,212,218,220,255,258,259,273,274,288,293,298,299,331,336,337,365,386,390,391,401,412,421,424,427,432,433,445,447,472,514,516,536,557,583,589,590,595,613,623,652,656,668,678,707,720,722,732,741,750,774,792,796,830,846,864,865,866,876,904,907,908,926,940,948,983,984,990,995], % 230
[11,21,22,27,40,41,58,80,87,95,117,153,169,183,198,200,211,218,239,246,255,271,273,282,287,293,304,312,322,324,328,347,349,354,362,390,395,402,403,437,449,450,456,462,466,480,494,526,528,534,569,571,591,604,633,648,650,652,658,678,680,696,705,742,766,780,785,796,824,827,837,838,851,854,855,865,867,871,878,887,893,914,918,919,925,927,939,942,945,954,963,988,991], % 231
[3,17,18,26,41,55,77,78,84,91,92,100,101,122,127,128,134,145,157,185,197,204,213,224,225,230,245,266,267,269,299,319,333,340,345,350,366,401,431,433,441,452,453,457,462,478,486,511,520,525,527,549,564,569,575,587,591,605,611,612,663,677,705,744,749,764,768,772,788,802,809,810,817,818,822,831,835,840,878,939,956,980,986,996], % 232
[7,22,23,43,56,58,78,82,89,93,95,118,120,123,133,150,170,183,199,204,206,210,223,224,234,241,243,244,246,252,259,264,281,305,320,326,327,330,335,338,355,360,362,371,372,374,383,399,402,406,416,435,439,442,454,508,516,526,534,535,541,572,575,578,593,597,604,608,618,629,634,645,666,675,677,687,688,700,704,737,746,757,775,779,783,785,812,814,821,827,839,856,865,875,884,890,891,894,901,918,928,933,937,938,946,959,961,962,967,968,976,990], % 233
[44,49,54,57,62,64,65,68,70,75,79,110,115,116,137,206,219,228,233,235,237,238,247,254,256,280,296,307,322,323,362,373,376,390,414,416,421,433,436,474,478,492,507,514,526,528,536,543,544,556,557,558,561,580,587,591,627,630,631,633,647,672,677,704,719,723,724,726,737,748,751,758,759,778,788,798,802,812,815,816,870,874,878,887,890,892,895,897,904,917,928,929,930,941,979,980,986,989,1000], % 234
[3,29,45,64,67,74,83,84,86,94,113,121,122,123,125,139,168,172,185,189,191,192,203,222,234,237,240,244,312,323,325,344,350,361,362,384,387,403,413,416,421,450,452,455,463,476,478,487,512,540,544,562,580,581,584,585,610,624,626,636,639,651,655,690,692,694,704,708,715,725,736,739,752,763,771,786,791,811,821,823,827,833,835,839,883,888,909,940,942,953,959,965,991], % 235
[2,17,21,25,26,27,33,38,44,57,60,61,65,76,89,92,121,126,135,151,174,181,189,204,210,222,230,233,245,247,260,274,280,291,294,295,301,332,334,336,367,368,375,385,389,392,401,405,409,422,430,433,445,455,463,489,495,507,510,513,534,559,567,570,572,581,589,605,610,616,629,646,659,661,678,685,690,728,732,753,754,761,768,788,795,810,820,823,824,832,835,837,840,846,867,874,883,892,896,899,900,909,911,917,919,927,947,958,973,995], % 236
[8,19,32,35,40,45,54,80,97,110,124,125,131,154,155,158,163,167,172,176,178,180,184,200,211,236,245,247,274,276,282,299,303,311,320,334,346,348,352,356,359,364,375,376,377,396,399,405,406,409,410,418,426,434,458,463,482,502,506,512,516,525,530,562,590,593,601,603,607,643,645,648,651,657,674,678,680,684,685,689,696,711,719,720,734,738,744,747,752,764,765,768,785,789,792,806,808,809,821,824,839,856,859,884,893,897,898,899,903,904,905,934,936,949,967], % 237
[10,26,34,35,57,71,72,73,92,97,98,106,109,119,123,154,156,159,183,197,202,214,215,220,222,253,267,270,274,279,282,295,299,303,317,334,335,345,348,354,358,378,385,388,396,410,414,417,439,454,456,460,472,477,478,511,515,521,524,536,542,550,555,563,572,574,585,626,629,631,636,657,665,669,675,681,683,685,693,706,714,724,733,746,750,766,779,782,806,817,823,824,832,834,847,850,855,865,867,890,898,908,918,924,935,936,942,944,954,962,966], % 238
[4,9,11,23,25,30,32,37,44,53,54,56,58,74,78,79,83,89,92,94,96,112,122,137,138,171,174,181,196,200,218,223,224,229,235,238,258,270,272,273,274,284,285,288,295,299,306,310,311,312,334,337,351,361,392,407,419,468,479,484,486,493,497,504,506,514,519,520,531,542,576,581,599,607,632,633,637,642,663,680,723,737,746,759,778,787,795,799,808,811,832,884,887,890,907,915,928,943,949,953,963,967,987], % 239
[8,18,26,27,45,65,81,82,98,103,136,143,158,168,174,187,192,193,198,218,226,231,252,253,255,260,275,282,298,300,311,323,337,355,360,361,401,410,418,419,429,438,453,471,477,486,492,495,501,509,523,540,542,570,576,577,594,609,622,624,627,638,649,654,668,693,707,747,756,772,776,779,781,783,788,801,802,803,805,814,816,825,835,842,863,867,869,877,893,897,900,901,904,917,924,930,935,957,965,978,980,991,993], % 240
[1,12,20,22,27,30,44,57,77,91,111,115,121,134,153,171,175,183,194,200,208,209,216,228,240,250,287,302,307,311,318,335,355,375,402,408,411,435,441,449,457,460,461,474,481,507,508,509,516,551,555,564,578,593,602,604,605,611,631,659,661,662,664,666,672,680,686,695,705,708,712,725,727,739,740,746,756,757,775,782,791,795,796,803,804,830,842,849,867,876,881,891,903,917,920,937,955,965,971,986,995,998,999], % 241
[1,7,9,15,21,27,33,45,47,67,72,77,104,105,106,111,125,126,131,134,135,146,151,197,205,224,237,275,288,291,296,298,322,328,336,340,357,358,376,379,385,402,411,430,436,443,446,450,451,459,465,469,478,502,511,516,519,526,530,531,543,562,575,585,598,607,609,635,636,646,661,667,670,698,701,714,715,722,723,730,737,745,748,791,822,835,843,855,876,882,892,894,907,908,950,986,988,991,997], % 242
[4,9,13,26,31,46,52,73,90,104,105,108,124,133,134,149,155,157,169,182,193,205,206,239,263,269,289,293,299,306,310,312,324,325,326,336,339,340,350,355,357,362,387,393,421,431,436,466,482,492,504,513,520,532,544,549,573,585,591,597,600,617,620,625,626,633,650,660,662,676,680,704,715,722,724,751,768,771,779,787,812,820,827,833,843,845,890,894,902,928,969,978,979], % 243
[5,18,19,20,36,41,50,65,70,76,77,89,93,99,116,119,147,152,171,181,185,190,193,196,207,215,216,225,226,227,253,254,277,285,294,303,318,327,328,348,359,362,381,391,412,416,420,428,439,441,443,453,455,470,481,484,493,519,543,560,569,574,578,597,599,607,608,613,617,618,630,635,636,637,640,668,696,703,704,706,716,718,723,725,729,741,743,744,749,755,763,771,781,790,802,810,811,813,819,827,831,869,873,889,899,912,921,957,959,964,965,966,969], % 244
[10,11,35,36,46,47,57,59,62,71,75,81,94,101,122,127,131,149,171,192,193,212,218,227,238,243,248,259,260,265,266,283,294,303,306,313,318,320,381,389,391,394,405,406,410,433,468,480,490,493,497,514,526,537,541,545,548,567,581,582,590,601,616,617,637,648,652,666,681,699,706,719,722,736,740,743,745,751,773,781,794,806,810,819,821,823,846,852,856,873,906,912,931,940,945,948,950,954,987,991,999], % 245
[4,17,37,45,48,52,58,77,101,104,121,122,130,150,186,188,190,195,197,210,229,233,249,262,280,287,288,289,293,299,323,324,329,336,338,343,344,346,353,359,372,373,374,376,391,398,407,410,423,426,428,430,432,434,435,455,463,469,488,505,518,524,556,570,574,576,582,585,590,597,606,613,626,635,641,644,647,659,672,686,708,729,730,740,745,746,753,754,757,767,784,785,788,789,793,794,796,798,803,812,822,839,849,851,855,856,867,870,871,876,878,895,896,900,907,910,914,942,975,976,988], % 246
[3,9,16,26,33,38,46,54,65,67,70,75,87,99,112,144,173,193,195,200,207,209,216,217,232,243,244,245,256,269,287,288,291,304,316,322,326,347,349,356,357,358,366,375,395,402,414,416,424,425,429,431,454,469,473,483,485,492,494,496,508,510,514,525,543,554,561,589,591,594,627,632,649,650,655,661,663,668,679,689,694,707,724,725,727,745,755,762,770,773,774,777,789,817,841,843,856,858,859,868,875,892,901,907,920,929,943,949,958,973,979,983], % 247
[17,25,28,36,38,43,45,52,69,73,77,78,88,101,104,116,123,133,142,158,160,168,199,204,206,208,212,217,224,230,243,249,250,258,259,262,273,278,279,320,327,330,331,335,349,367,370,373,389,405,407,410,429,447,453,459,476,481,487,488,494,503,505,517,518,519,520,544,545,560,565,573,586,602,607,610,611,613,628,640,647,659,665,676,678,694,705,713,716,728,734,742,744,748,757,758,760,764,766,770,802,803,827,830,838,846,848,851,852,853,854,865,869,882,886,889,894,900,915,916,921,928,944,968,984,990,995,997], % 248
[5,18,31,39,40,49,51,59,61,66,106,111,129,152,156,179,191,225,256,258,260,269,285,291,323,327,329,337,339,377,380,386,404,415,423,431,437,443,455,458,461,473,481,501,504,511,517,561,577,584,589,596,597,600,608,614,621,623,625,627,633,637,639,641,646,654,655,671,674,675,684,702,733,743,745,747,748,773,784,800,812,817,827,833,841,855,868,869,877,886,888,895,902,928,936,937,953,963,978,983,987,990], % 249
[5,18,27,33,45,62,74,76,81,99,102,105,113,117,162,164,182,184,203,220,234,251,257,275,277,306,311,314,320,324,334,343,346,349,354,371,374,380,388,392,433,434,446,448,451,478,518,519,527,537,539,550,551,554,562,574,622,627,632,658,668,669,677,681,687,690,719,722,725,731,732,742,743,785,788,790,792,794,798,805,812,821,825,860,869,885,886,901,916,935,948,950,983,987,989,990], % 250
[5,13,28,32,53,64,67,69,70,87,97,99,122,132,161,163,168,171,177,180,192,200,205,211,219,233,234,242,269,271,278,283,285,307,311,318,319,323,324,338,339,343,349,351,379,382,387,388,391,395,397,400,416,419,427,455,456,493,497,506,522,557,569,575,578,579,593,597,599,617,624,640,641,667,678,679,683,688,690,711,719,740,758,762,766,777,781,793,825,827,840,845,862,870,872,884,890,893,894,920,935,945,949,955,957,967,970,978,983,999], % 251
[11,13,15,24,36,50,75,79,83,101,150,158,162,164,165,167,184,208,219,224,240,242,250,253,258,268,274,290,310,320,338,353,354,388,398,408,411,421,422,431,440,484,488,502,517,523,537,538,549,575,583,584,606,609,610,616,618,626,634,636,650,658,659,660,703,717,719,720,737,739,745,746,755,758,765,770,794,802,808,822,824,825,830,831,840,846,860,863,867,879,883,884,893,906,916,936,941,950,958,960,964,965,982], % 252
[13,16,39,44,45,58,80,89,90,92,95,98,103,116,119,123,131,138,145,146,154,168,175,213,214,225,235,239,243,248,250,262,268,275,307,326,327,360,363,366,369,382,390,424,431,449,462,465,473,495,502,507,530,551,557,579,582,589,591,608,610,612,622,678,688,703,706,712,746,751,764,775,783,790,806,809,834,853,869,894,897,918,921,927,945,954,970,971], % 253
[12,29,31,32,38,43,54,82,85,96,134,141,148,149,172,174,182,185,186,195,205,220,221,222,223,247,252,258,275,288,294,299,311,316,332,338,342,343,344,350,368,375,388,403,411,424,430,442,444,447,450,451,457,459,479,482,488,490,494,503,533,560,570,572,577,584,598,600,629,630,651,652,655,663,666,669,676,677,682,702,713,717,724,738,768,776,799,807,820,827,830,843,850,853,875,882,895,918,934,935,936,939,958,960,978,993,1000], % 254
[7,19,25,26,35,74,82,86,88,90,97,104,120,132,148,195,198,204,206,220,225,227,245,249,252,254,265,299,301,306,317,348,349,366,382,385,386,392,396,404,413,416,438,441,448,461,465,484,485,492,511,557,573,574,576,580,627,644,653,656,672,675,678,683,692,725,753,754,767,773,779,786,800,814,819,852,857,858,873,881,886,895,898,904,905,915,923,929,936,937,943,951,969,989,997], % 255
[15,23,38,60,71,79,80,91,94,121,124,135,144,146,160,166,171,172,179,201,205,214,230,232,241,242,245,258,261,284,295,297,311,315,317,319,333,336,345,355,363,366,369,377,394,398,406,426,435,444,449,466,475,510,526,547,567,569,573,578,589,599,610,612,614,629,641,646,665,682,690,695,707,717,732,739,747,763,764,771,772,778,800,841,855,856,874,879,884,886,888,896,899,909,915,927,958,965,986,990,995], % 256
[3,7,17,51,52,56,57,63,79,94,103,105,108,118,140,142,162,179,180,185,215,237,245,255,269,276,277,292,312,324,329,334,348,350,355,366,380,388,392,407,413,428,432,433,441,442,451,468,470,472,479,499,505,510,528,531,540,558,559,576,584,595,600,605,617,619,620,639,666,717,724,739,758,791,794,805,812,813,814,816,818,823,846,863,886,907,914,921,925,928,932,936,954,990,992], % 257
[5,19,23,38,42,51,52,92,105,120,133,153,154,170,171,183,203,224,227,240,247,254,265,273,281,300,310,316,327,345,350,360,370,386,389,390,395,402,406,410,422,430,438,439,465,477,488,489,490,491,493,496,515,524,529,533,537,545,550,558,566,582,599,612,616,624,625,629,651,664,665,669,676,695,697,709,727,737,739,755,758,760,768,794,798,830,845,849,856,857,869,871,902,921,922,924,929,932,943,955,957,960,983,988,990,993], % 258
[17,22,26,32,36,43,50,71,75,98,105,111,112,124,136,172,174,183,199,208,231,246,263,275,277,284,285,290,312,329,339,343,367,375,384,385,392,399,413,414,432,439,442,447,455,463,486,488,506,512,520,532,554,561,570,616,621,627,634,641,647,664,681,690,693,708,711,712,720,721,745,746,749,754,755,758,768,775,793,806,816,820,834,836,846,856,860,861,862,868,879,883,887,892,909,922,933,937,943,957,977,991,996,999], % 259
[1,3,21,30,44,52,58,69,76,86,101,113,116,127,132,147,165,174,180,185,186,200,226,234,246,248,265,267,271,280,337,348,360,364,368,370,371,380,386,389,391,406,413,421,427,443,444,447,475,492,493,511,548,562,565,567,580,585,587,593,597,604,605,606,609,647,648,657,659,668,682,687,698,699,705,706,719,725,730,743,750,751,753,759,767,784,789,799,822,845,861,883,917,928,933,939,943,960,964,979,981], % 260
[2,4,9,14,23,33,41,92,94,100,103,113,140,152,179,192,195,197,199,204,208,226,260,266,269,290,294,318,322,337,339,351,352,359,365,367,381,412,436,441,448,449,451,455,457,480,485,491,501,514,526,527,530,546,548,553,577,590,602,604,635,636,641,642,645,658,659,677,678,680,685,695,711,726,730,739,743,750,751,752,759,763,775,792,816,819,824,825,829,830,844,845,853,866,874,881,902,927,944,976,988,993,1000], % 261
[4,7,8,11,25,33,36,44,66,69,75,78,81,92,94,98,99,102,111,139,158,202,215,216,242,252,253,270,271,285,287,289,294,302,308,338,342,346,347,353,362,413,415,421,442,455,456,463,482,486,495,503,515,527,529,542,549,568,569,570,573,575,592,601,610,611,614,617,618,624,625,633,638,639,645,653,670,683,684,689,703,707,716,717,725,785,796,808,838,840,900,908,912,922,923,934,938,950,955,974,976,977,985,995], % 262
[3,6,29,30,32,40,49,51,62,69,75,100,116,122,132,139,140,141,150,157,163,167,174,180,183,186,196,200,202,215,229,238,243,261,262,268,269,272,274,294,299,301,304,306,315,331,335,358,367,378,379,383,387,392,396,437,442,444,454,462,476,477,479,483,493,521,525,542,546,548,560,571,594,603,605,608,628,655,673,683,684,695,699,705,706,728,730,748,754,767,806,830,838,864,868,895,900,910,913,924,926,932,941,945,961,975,977,982,993,1000], % 263
[6,40,51,55,56,57,84,90,172,173,179,182,186,188,198,222,223,232,238,239,244,260,282,302,314,315,318,350,353,380,392,416,436,437,482,484,488,493,500,501,513,518,540,555,556,571,602,612,641,642,649,661,671,682,683,689,691,715,722,732,735,754,761,763,788,799,801,804,806,813,826,841,847,874,877,881,885,889,897,914,921,927,939,962,976,988,994,995], % 264
[15,19,41,69,86,103,113,115,122,150,160,169,184,189,191,193,197,228,230,252,271,273,279,302,305,307,318,319,337,343,347,360,387,418,421,423,444,446,447,456,470,476,480,485,491,500,502,517,521,531,537,540,557,564,580,581,601,602,620,657,666,669,698,700,704,720,725,762,773,778,786,808,830,840,853,854,860,866,884,898,909,929,958,962,967,969,970,989], % 265
[19,20,22,27,123,131,133,145,148,155,159,162,180,183,198,200,213,218,220,225,237,240,253,269,271,279,312,335,343,362,365,370,377,380,383,385,426,427,438,445,456,466,482,486,488,515,533,537,546,552,561,569,570,572,585,590,591,594,606,622,642,645,653,662,667,678,693,711,716,741,742,756,759,762,763,769,788,791,803,822,823,826,849,861,867,868,877,878,901,905,906,914,917,921,927,930,938,944,949,955,978,990,992], % 266
[6,20,23,35,37,41,48,61,66,74,77,99,125,133,135,139,159,161,184,185,186,196,217,220,226,229,232,253,263,264,292,307,343,357,361,369,387,392,410,426,431,440,441,444,450,453,459,460,462,473,479,491,497,520,527,537,538,540,561,568,574,576,605,607,608,618,624,626,639,643,644,647,648,659,664,669,677,680,691,693,710,718,731,738,739,740,747,748,753,802,810,819,821,835,839,842,843,844,846,860,883,884,897,899,917,924,927,929,930,937,946,958,959,976,992], % 267
[4,5,9,18,50,72,76,94,103,108,112,128,141,149,150,159,169,170,172,181,187,189,192,196,201,207,240,253,257,259,262,285,297,302,305,318,320,332,339,344,353,375,381,387,390,397,398,406,408,420,423,432,435,454,483,500,501,530,535,558,564,578,597,616,620,636,644,645,656,659,660,664,668,670,674,682,738,740,759,761,766,771,776,778,826,842,854,863,884,927,932,948,962,964,975,977,979,986], % 268
[27,29,31,50,85,87,107,110,111,119,123,128,133,150,151,154,182,184,196,236,250,257,261,266,274,282,284,289,293,296,302,311,315,317,320,321,327,332,344,372,389,391,403,404,445,452,453,454,465,470,499,521,526,533,539,540,556,571,625,628,631,643,649,650,655,672,680,684,708,709,713,719,725,738,744,753,756,758,763,767,775,776,780,783,791,807,837,848,855,859,879,899,908,933,943,947,953,958,965,966,969,971,980,985,987], % 269
[3,6,12,19,35,43,70,81,122,143,148,174,175,184,198,208,209,210,213,215,218,222,227,230,247,255,259,260,263,269,276,280,284,293,306,308,310,316,327,343,348,358,359,370,379,428,429,436,446,456,486,487,493,494,496,502,532,549,557,571,592,608,615,628,652,687,688,693,697,699,700,712,716,729,748,785,800,801,806,809,818,834,836,857,873,890,895,909,922,927,930,931,933,934,939,952,967,980,982,988,1000], % 270
[10,17,29,31,32,33,34,41,54,62,63,79,83,93,96,107,137,144,147,151,154,163,180,186,201,209,217,237,244,277,279,283,289,295,307,318,321,331,365,367,376,377,379,403,406,420,427,440,444,453,454,462,478,482,488,500,507,512,513,517,539,543,547,555,561,581,592,598,618,621,679,683,691,713,715,718,727,739,741,743,747,749,759,797,809,820,825,827,833,836,850,861,862,874,875,881,891,913,918,921,929,930,938,955,966,971,988,989,990,991,1000], % 271
[53,66,82,109,122,124,125,131,147,156,170,213,245,277,278,285,286,288,290,298,303,309,312,337,340,347,348,351,364,371,379,394,434,437,440,457,469,474,476,483,488,497,498,504,524,545,546,567,579,585,590,608,610,625,642,671,673,680,693,724,733,753,754,760,770,795,799,808,811,813,815,839,843,846,876,877,884,897,900,902,904,911,926,929,933,940,947,949,957,958,959,960,962,963,966,968,990,994,998], % 272
[16,24,38,46,49,51,63,77,82,83,90,99,105,110,116,129,140,148,173,178,179,205,207,210,211,219,238,242,247,251,255,257,258,275,292,294,296,300,301,302,306,322,335,354,357,365,370,417,427,432,433,446,455,475,477,481,497,507,509,519,537,541,545,550,556,560,561,576,626,628,645,672,674,690,695,701,710,730,734,735,750,753,762,766,794,795,797,825,829,831,835,841,843,846,865,885,887,901,908,910,917,926,957,962,976,991], % 273
[22,51,56,57,59,68,74,91,92,93,95,102,112,119,141,149,181,187,193,196,200,203,205,210,213,229,242,272,275,288,312,313,328,333,347,363,366,396,398,399,417,429,433,444,447,450,462,465,470,488,528,531,535,543,553,558,561,565,569,570,572,578,593,610,612,617,620,628,654,656,667,671,674,675,681,689,714,736,778,783,786,826,828,833,846,850,864,872,882,887,896,898,901,903,939,941,950,961,966,970,974,975,976,977,980,991], % 274
[15,23,25,75,100,103,144,167,204,205,212,218,249,285,336,388,392,404,407,415,461,475,483,495,514,522,527,533,546,549,555,562,565,570,582,594,644,666,687,703,705,719,732,747,759,764,769,773,790,793,798,823,839,844,849,863,867,871,876,878,882,889,894,901,916,943,955,956,959,968,971,972,985,988,989], % 275
[6,28,35,38,60,64,76,91,94,97,98,105,111,112,119,124,131,144,149,177,183,185,208,232,249,250,259,271,284,290,299,316,350,364,368,375,411,422,430,460,464,465,480,485,491,531,534,537,547,558,563,564,569,581,595,602,604,628,651,654,663,696,698,713,723,745,747,757,758,765,776,781,799,800,802,815,820,826,832,841,842,843,855,859,885,894,897,911,912,936,938,953,957,970,971,972,973,974,977,981,983,988,995,996], % 276
[65,111,113,114,129,161,180,183,204,221,224,229,233,241,244,255,262,264,265,273,279,280,282,303,334,349,351,357,362,363,367,383,385,395,400,404,408,413,421,460,466,472,477,495,507,535,545,546,557,563,580,581,598,618,627,632,648,653,657,663,680,683,686,710,713,733,749,758,761,765,776,799,802,816,833,837,845,852,902,903,905,907,924,926,932,934,936,939,941,955,959,961,964,971,981,982,991,994], % 277
[5,7,8,12,62,68,115,120,122,136,143,153,158,170,182,189,207,234,237,239,256,273,275,283,292,309,337,348,401,408,429,440,450,489,497,498,499,523,525,538,553,577,579,580,592,606,618,627,634,638,641,656,661,670,674,681,685,706,714,743,752,753,759,763,780,784,792,799,815,824,829,841,846,853,860,865,868,886,888,912,919,922,926,936,941,957,971,988,998], % 278
[27,28,38,68,73,74,75,81,102,103,134,153,155,160,169,181,183,186,189,204,219,221,223,241,260,268,270,273,274,306,310,311,313,317,320,321,359,378,382,418,426,437,439,461,469,486,493,496,502,513,527,555,567,573,584,588,614,627,635,637,644,658,685,721,726,738,739,760,789,792,807,817,827,844,845,847,850,851,871,874,879,907,915,918,924,971,974,980,986,987], % 279
[1,7,15,44,53,58,98,111,125,129,131,143,148,181,192,201,210,219,224,234,253,257,265,270,275,278,281,285,308,324,359,380,387,388,415,420,432,438,439,455,459,465,466,475,493,495,510,520,529,531,537,546,548,592,599,608,660,662,675,686,696,702,719,721,726,748,757,763,770,773,800,807,815,817,842,843,861,865,877,907,966,970,977,978,986,989,999], % 280
[7,47,50,102,104,120,124,126,152,167,183,190,193,196,208,216,222,233,237,244,260,266,273,277,293,298,301,305,306,332,340,347,364,374,391,399,414,425,454,457,471,481,485,494,512,519,538,541,542,558,563,587,588,593,594,596,601,618,619,620,634,645,651,652,661,689,691,696,721,724,744,747,768,769,771,772,776,784,803,805,817,827,831,840,872,891,897,898,900,907,924,930,931,939,971,975,977,984,986], % 281
[7,11,17,60,71,73,81,86,88,93,96,101,102,106,110,120,127,138,143,154,160,166,170,187,204,210,211,231,232,238,248,250,267,268,283,288,290,293,294,303,315,325,357,362,373,390,392,395,397,401,420,433,442,445,448,454,460,484,499,500,517,569,583,596,599,608,614,621,633,641,648,653,660,674,677,683,692,697,698,717,729,746,747,752,760,765,766,767,768,775,786,787,790,802,805,806,812,845,848,862,866,868,869,880,902,927,934,951,958,972,974,986,992], % 282
[12,45,50,56,59,64,91,102,103,108,127,132,133,139,140,143,154,157,179,201,202,208,214,217,229,234,244,248,277,278,279,286,290,296,300,303,304,308,312,339,348,359,365,369,380,383,395,404,405,431,436,439,451,465,474,477,478,505,511,512,533,534,542,546,547,552,565,582,589,592,594,606,618,630,660,664,669,677,688,699,701,733,736,737,743,760,780,781,794,803,815,830,846,874,880,905,911,913,929,931,940,947,950,965,971,976,984,995], % 283
[3,11,14,29,34,36,44,59,76,92,95,96,101,137,146,149,151,162,166,168,172,186,195,232,239,244,248,249,252,288,307,325,331,336,342,343,346,364,373,382,386,387,392,430,438,439,466,473,475,496,523,527,532,536,538,553,568,574,575,588,625,639,643,646,657,688,699,728,736,740,744,752,777,796,801,807,830,853,854,860,863,871,873,886,889,891,895,896,899,902,912,915,921,924,938,947,954,976,983,988,995,997], % 284
[45,47,53,59,60,68,84,87,99,104,107,119,120,131,166,175,195,209,211,218,230,235,277,284,286,295,297,303,323,332,351,353,355,360,372,387,417,462,464,466,474,486,488,490,495,498,510,513,516,517,518,521,528,530,531,532,538,548,609,610,619,636,667,671,682,707,715,738,749,751,757,758,775,776,777,782,788,793,803,827,828,830,844,855,856,861,869,872,912,913,915,930,949,951,968,980,982], % 285
[2,15,39,61,66,70,75,101,104,112,144,163,169,181,193,195,196,202,207,225,233,235,238,251,252,263,265,266,274,279,283,311,314,316,344,348,383,387,405,411,445,448,454,463,477,494,512,535,548,555,564,582,583,591,602,609,625,626,640,641,674,697,709,713,722,737,752,755,768,794,795,798,807,811,827,852,890,894,901,915,919,920,931,935,938,948,952,962,973,976,977,984], % 286
[6,20,57,75,94,103,138,139,150,156,166,169,175,182,223,240,241,257,266,273,274,275,289,300,326,334,365,366,368,380,381,385,389,391,396,399,407,412,413,415,426,443,455,458,462,476,486,497,505,513,522,534,539,541,543,546,557,574,595,602,650,675,679,681,686,691,693,699,709,714,720,729,737,747,755,756,762,768,786,789,806,807,819,830,851,860,873,874,888,909,913,925,959,968,970,973,974,982,989], % 287
[4,11,18,21,33,44,45,59,79,84,89,96,100,101,107,119,126,127,134,135,136,137,138,145,182,191,203,212,225,252,276,277,287,299,305,316,323,327,338,340,357,387,392,397,400,402,404,407,409,417,434,435,436,443,444,467,472,474,501,506,518,522,524,539,540,543,570,572,575,576,596,609,614,628,638,671,674,685,722,724,728,736,738,744,758,760,762,769,771,797,801,806,869,871,883,885,893,918,921,924,938,950,972,974,982,1000], % 288
[30,33,34,38,39,43,50,51,56,67,70,93,95,96,101,116,132,135,143,150,156,192,208,220,233,238,240,252,254,255,285,314,333,346,359,363,387,401,409,422,432,449,501,506,530,531,543,548,581,592,595,596,604,620,624,632,646,658,668,695,697,724,737,741,764,775,787,794,800,809,822,823,827,832,839,849,857,866,868,873,875,879,892,897,901,907,910,921,930,936,958,962,979,989], % 289
[1,2,9,15,17,19,39,73,76,81,87,89,98,106,111,113,116,124,140,150,159,182,208,221,238,241,249,253,254,275,277,281,294,298,299,315,316,343,354,356,361,369,380,400,405,419,441,444,459,470,478,488,493,495,502,505,507,511,514,536,537,546,569,570,576,587,591,602,604,628,631,643,646,647,650,676,708,715,720,732,733,734,753,763,773,792,807,809,812,817,818,819,822,826,829,830,853,861,865,873,876,905,909,917,933,943,952,961,972,976], % 290
[6,7,23,30,35,37,70,73,74,104,125,132,133,135,137,144,163,173,198,203,205,218,232,242,245,246,254,257,263,264,326,333,343,360,361,371,378,410,430,444,456,463,470,482,485,486,492,493,495,504,508,520,529,538,541,542,549,553,577,582,607,609,639,643,645,651,652,656,668,689,719,730,731,739,758,773,790,806,813,817,834,838,854,857,873,877,903,914,916,917,919,925,928,930,947,953,968,971,978,991,999], % 291
[3,6,15,16,19,22,30,33,55,92,95,110,121,132,134,135,137,148,155,163,169,189,198,207,214,228,229,232,255,265,283,284,310,323,325,342,344,367,370,375,389,398,423,425,431,432,484,498,499,508,512,521,522,523,531,533,546,575,576,596,608,610,612,615,640,652,655,660,661,666,684,719,724,727,731,732,736,741,784,810,843,849,870,880,889,905,913,947,949,957,963,965,966,970,992,996,999], % 292
[20,25,36,55,58,59,65,72,76,87,100,108,120,131,151,162,187,207,243,244,259,287,295,318,345,350,355,359,376,379,393,412,421,427,429,473,484,485,487,498,523,529,531,540,548,574,584,585,588,597,601,608,614,615,638,640,647,663,664,670,678,688,697,701,706,708,711,715,736,752,791,803,880,886,895,907,911,936,941,945,953,956,967,982,989,991,992], % 293
[21,27,32,34,47,54,60,68,69,80,119,127,129,132,139,140,162,180,187,189,192,241,246,264,287,293,299,302,310,314,320,344,354,357,365,368,370,389,392,411,414,433,443,447,451,455,462,468,472,480,494,514,518,523,548,557,562,563,586,607,608,634,639,654,660,673,677,688,694,700,707,708,709,712,736,747,758,762,767,768,790,811,815,821,832,858,866,872,873,892,893,901,902,906,925,926,937,938,984,986,991,998], % 294
[13,17,23,37,49,51,57,84,92,94,105,110,112,115,117,118,119,127,134,136,140,149,151,152,153,169,175,184,188,190,203,210,216,233,253,255,257,281,287,297,300,302,309,312,316,324,333,340,344,351,358,371,376,388,390,392,394,397,421,426,429,431,433,434,436,439,472,484,508,513,543,545,548,559,564,568,598,599,601,604,609,610,617,631,637,648,654,655,658,660,666,669,674,676,683,685,729,752,796,801,804,833,843,863,900,901,914,926,968,972,977,979,986,987,990,991,994], % 295
[5,8,24,34,43,53,54,69,103,104,109,117,149,161,168,179,187,191,211,237,239,247,250,252,257,271,275,277,289,292,304,310,324,325,331,332,335,337,348,358,361,366,397,405,413,426,431,445,456,459,460,461,496,500,505,508,527,536,556,557,560,572,592,594,610,612,618,626,628,629,632,645,648,657,662,663,675,692,694,698,701,710,721,730,732,742,744,755,759,803,804,812,815,825,832,850,854,859,861,869,874,914,917,929,936,946,961,967,974,976,991], % 296
[22,36,53,63,105,106,120,123,126,154,170,175,187,240,247,251,259,271,300,307,323,328,332,346,348,350,364,367,379,389,393,395,402,416,419,433,447,455,503,546,598,599,617,663,667,683,687,691,692,694,712,731,735,749,755,795,796,808,821,828,837,838,848,880,888,891,904,913,923,927,931,936,971,977,978,980], % 297
[7,15,19,31,38,53,67,75,77,100,117,135,138,172,184,205,210,215,224,229,234,243,277,284,324,327,328,332,341,350,352,362,372,391,400,403,404,433,434,438,447,449,497,500,502,520,529,537,543,544,593,595,605,622,628,634,637,643,656,666,668,670,672,677,685,697,699,708,712,724,725,735,742,747,759,776,780,786,787,788,791,792,814,824,837,844,847,851,857,875,880,887,906,910,913,915,930,936,940,955,964,972,973,984,996], % 298
[3,19,36,37,43,44,45,48,63,79,89,97,105,127,141,148,152,162,167,174,193,196,205,211,214,218,254,259,275,290,302,304,310,315,323,332,341,342,373,374,379,383,395,398,404,410,423,424,426,449,474,480,500,509,512,517,534,595,601,603,627,637,650,667,670,684,692,703,706,732,742,747,754,776,808,813,818,824,843,846,851,857,861,886,894,911,933,935,952,961,980,981], % 299
[29,30,36,61,68,81,96,101,111,118,125,142,145,149,163,165,179,201,203,213,214,222,235,236,238,243,244,251,256,260,263,293,306,309,313,316,327,342,348,350,368,374,376,387,393,426,428,439,447,448,452,458,471,476,485,487,490,497,498,508,518,520,549,550,561,565,566,568,574,589,595,608,624,626,633,642,656,668,672,706,728,729,732,733,741,752,767,770,771,779,782,792,804,815,825,832,850,851,873,874,894,907,914,917,925,947,965,966,968,990,999,1000], % 300
[8,14,16,24,35,40,41,56,57,67,68,79,96,98,106,110,113,116,117,127,141,142,148,194,199,204,215,221,233,249,255,262,276,277,278,298,304,306,321,335,341,347,353,398,403,404,407,410,414,434,436,437,438,456,464,466,467,473,481,489,492,495,499,531,534,550,564,575,602,610,618,620,626,627,634,646,653,663,671,673,706,708,709,722,737,746,751,765,771,781,785,789,816,837,863,889,902,918,921,961,962,995], % 301
[4,13,16,19,40,52,61,73,75,82,109,132,133,141,148,167,195,225,230,233,236,248,250,255,257,263,268,283,287,308,316,321,357,380,384,391,392,404,421,425,447,461,472,484,485,490,495,497,504,506,512,565,572,574,580,581,589,611,622,625,627,632,640,650,664,665,672,673,701,714,715,728,735,743,759,762,763,766,781,817,842,854,858,880,883,918,923,924,946,949,951,954,961,962,984,986,997,1000], % 302
[3,19,20,21,26,36,38,40,45,50,52,67,81,87,96,107,108,124,133,160,168,173,189,191,209,212,215,223,227,233,245,247,273,340,344,349,352,353,367,377,383,384,391,401,416,422,433,458,462,479,491,500,505,508,516,529,560,571,574,576,615,620,630,635,642,643,655,667,681,711,719,731,738,748,750,766,805,820,821,833,839,841,848,856,858,871,882,883,895,904,914,926,931,935,941,942,943,945,963,982,996,998], % 303
[2,12,14,18,27,29,30,32,33,38,39,75,79,110,115,142,144,148,152,163,166,169,171,207,208,209,214,220,230,241,245,246,248,253,280,290,301,303,308,346,355,376,380,386,390,392,404,407,418,425,441,443,449,457,458,471,476,504,507,517,520,551,568,579,584,600,618,629,632,637,640,650,653,669,680,689,702,711,716,733,741,742,743,749,760,761,778,779,795,804,805,809,813,815,819,852,858,867,886,894,898,899,911,914,921,925,943,945,959,967,979,1000], % 304
[1,29,49,50,62,66,67,74,80,84,95,105,116,133,146,156,157,173,182,206,212,228,242,246,265,269,273,303,312,313,330,334,335,356,364,386,388,401,406,424,438,441,458,464,475,478,479,482,486,513,536,540,542,548,549,550,553,556,557,574,576,585,617,628,630,651,662,679,681,690,691,699,713,740,745,751,770,789,793,810,828,830,837,850,860,861,864,873,898,909,916,931,933,934,936,972,974,976,977,980,986], % 305
[27,41,44,55,81,93,95,123,150,155,179,194,227,238,241,244,254,255,275,277,282,314,317,328,343,356,359,371,383,385,388,396,403,411,415,419,422,428,437,442,473,474,514,521,529,537,553,554,611,644,664,671,674,678,692,706,707,720,733,739,752,768,776,781,792,794,795,796,800,810,826,827,837,848,873,885,909,917,925,927,928,943,957,962,973,978,998], % 306
[8,13,20,22,62,95,115,116,121,125,129,133,141,147,157,167,169,177,178,190,194,199,217,229,245,247,251,257,267,279,288,294,317,318,320,321,326,339,343,350,351,392,397,404,407,415,422,436,439,446,449,458,459,467,487,509,514,538,541,546,556,565,580,599,601,609,624,638,639,675,682,692,700,706,711,714,733,735,769,771,773,814,826,832,835,844,849,867,870,873,874,878,882,901,907,910,931,938,963,971,999], % 307
[20,52,62,66,73,101,111,114,123,130,145,148,169,176,188,206,210,211,230,251,265,267,280,283,294,296,304,314,337,356,359,371,382,390,420,423,432,458,466,487,517,526,528,529,537,538,548,549,552,558,589,609,623,631,632,638,647,654,666,674,676,694,705,711,723,724,733,742,743,805,837,862,867,878,895,904,927,951,953,965,976,997,998,999], % 308
[13,15,16,27,35,77,111,116,119,131,133,139,150,151,159,168,175,184,191,220,235,256,262,267,268,290,293,312,315,317,336,338,341,348,366,386,398,404,426,430,432,434,440,449,455,459,467,475,482,494,499,505,548,549,591,599,617,624,644,652,659,664,666,672,683,686,692,700,707,728,729,742,751,757,762,826,830,833,837,843,854,857,858,861,868,871,880,884,892,894,900,901,903,913,938,951,952,966,967,975,979], % 309
[10,12,13,20,48,53,98,100,111,114,120,130,137,145,160,163,174,217,219,235,253,255,267,268,270,277,278,288,305,341,350,355,360,364,367,371,387,401,408,414,427,438,440,442,450,467,471,476,480,497,502,506,527,528,534,546,550,552,553,579,580,606,620,623,627,630,633,637,650,659,679,687,693,698,732,740,742,751,755,756,763,770,773,796,798,800,802,805,806,825,827,839,841,845,846,855,857,861,864,880,892,906,944,952,953,960,970,974,980,983,988], % 310
[26,31,35,43,47,65,89,98,126,134,141,158,168,177,179,220,227,231,236,241,243,253,259,263,265,272,280,282,285,294,303,307,313,342,344,356,360,374,383,400,402,407,413,421,431,435,447,450,451,459,474,489,499,504,507,518,523,546,548,580,584,604,606,622,633,637,641,642,654,683,702,711,721,728,738,745,761,767,770,778,785,786,792,798,803,812,813,830,838,840,853,856,884,898,917,930,940,999], % 311
[3,4,13,16,17,25,27,55,59,63,66,87,89,90,97,99,113,121,136,158,197,205,215,228,230,237,241,248,260,267,281,283,299,328,335,338,346,347,392,395,404,413,431,444,450,452,453,463,480,495,496,511,512,515,528,548,568,574,575,595,596,637,673,680,696,709,714,726,732,759,763,778,781,813,847,868,875,885,907,920,933,935,945,947,971,996], % 312
[2,3,10,14,22,39,45,49,56,76,77,81,87,90,93,97,98,113,124,129,145,157,158,173,180,182,183,184,195,198,201,207,225,233,238,257,268,315,316,329,339,354,360,361,372,395,408,411,417,429,436,454,456,460,471,483,501,503,511,514,519,524,532,540,545,575,576,577,580,595,601,628,655,662,666,668,670,682,702,711,714,723,740,746,756,760,774,786,788,796,798,809,828,858,866,876,883,897,898,905,911,914,926,928,942,947,974,978,997], % 313
[13,17,18,22,24,35,71,73,95,106,122,128,181,217,234,240,250,258,274,321,324,331,338,350,358,369,370,379,385,417,447,449,457,467,471,490,512,515,518,520,551,567,592,621,622,634,650,651,682,684,717,721,730,756,763,764,783,788,803,812,813,826,830,851,856,883,888,895,899,903,907,910,911,941,968,977,987,998,999], % 314
[12,15,29,52,73,75,84,94,96,112,113,116,132,135,138,143,145,151,155,174,178,182,202,211,218,219,225,233,245,251,263,265,266,273,276,279,281,295,301,314,318,323,332,335,378,380,396,400,403,406,407,423,444,446,452,456,457,458,459,464,470,484,489,504,537,547,548,570,572,573,574,599,609,630,654,666,679,683,686,692,697,698,708,726,764,767,784,787,810,819,835,847,853,859,864,877,885,897,902,907,910,991,992,996], % 315
[4,13,17,40,45,71,78,83,90,97,107,116,118,119,124,128,131,134,142,157,161,165,175,200,241,242,261,264,268,270,287,303,308,314,327,333,343,344,348,351,354,361,364,370,371,375,377,398,409,415,417,423,426,427,452,454,461,480,504,512,515,516,523,526,547,549,550,586,594,603,614,619,655,669,679,684,700,714,715,726,740,741,753,762,779,780,782,805,812,825,839,855,878,889,894,906,936,940,976,980,989,995,997], % 316
[4,15,22,26,28,33,54,62,103,114,118,130,132,136,151,163,164,175,176,177,197,204,226,234,255,262,266,269,274,306,310,313,316,325,339,343,346,348,349,366,372,378,400,405,417,421,428,430,436,443,457,482,513,519,528,529,587,605,607,614,616,628,650,654,657,675,684,699,703,711,712,729,755,763,768,777,788,790,793,798,801,809,812,816,823,834,840,850,851,852,853,854,855,862,867,877,887,908,911,915,917,929,936,941,945,947,948,953,957,998], % 317
[2,4,15,45,53,54,58,65,71,74,89,102,113,121,123,131,165,174,199,202,220,222,232,234,235,237,241,245,247,255,256,258,266,293,296,308,325,345,350,366,367,371,373,377,406,407,411,428,446,447,476,477,485,492,509,521,525,529,536,549,552,554,555,561,565,567,569,595,616,619,623,624,651,654,658,664,673,698,701,707,709,710,711,723,726,732,748,750,763,773,787,789,791,794,802,806,807,811,824,846,848,851,852,859,870,872,877,880,882,891,910,930,938,948,960,970,980,983,987], % 318
[12,25,34,45,57,58,62,74,119,122,149,155,162,166,167,172,191,193,195,196,198,209,210,216,228,237,238,245,249,253,262,263,299,307,311,321,344,352,353,365,378,388,419,461,471,474,476,482,490,502,529,536,537,553,598,604,611,613,618,619,643,660,666,667,680,691,697,700,704,723,730,775,781,788,796,797,806,809,852,879,881,884,894,898,903,904,909,919,921,929,945,946,955,965,972,980,982,990,994,998], % 319
[3,4,12,23,37,40,58,68,71,82,92,93,97,115,128,134,140,147,152,157,175,185,199,204,205,214,231,240,243,252,260,275,281,324,335,342,374,375,376,389,404,465,469,481,488,494,499,500,509,520,554,559,563,568,572,596,608,609,611,648,651,655,670,672,708,727,728,748,778,796,807,815,829,834,838,845,869,873,878,885,900,902,909,916,919,920,922,926,934,952,963,965,968,976,978,997], % 320
[9,11,15,16,18,21,34,36,39,45,50,69,73,102,110,111,112,141,150,162,163,184,192,205,208,218,264,273,274,279,281,293,322,324,330,334,338,342,358,363,366,377,378,381,392,406,408,436,438,441,444,448,450,453,473,487,489,493,508,539,545,549,556,558,592,625,626,633,658,671,705,718,754,775,779,786,787,788,790,798,805,816,818,819,830,833,838,842,843,844,856,866,886,887,906,910,917,923,935,953,961,974,985,990,998], % 321
[11,19,27,34,41,44,53,59,64,65,82,91,92,99,107,109,116,157,165,168,169,179,199,203,218,238,239,252,256,257,282,284,323,339,342,354,355,363,390,395,403,405,407,412,421,447,455,473,480,498,509,513,517,527,531,543,551,555,564,568,570,577,597,601,620,621,628,644,647,668,669,676,690,693,699,700,717,731,732,734,738,740,771,779,794,803,815,833,846,859,877,912,916,919,921,925,935,938,950,951,956,964,975,976,981,997], % 322
[1,15,19,20,25,34,45,56,61,73,78,87,120,127,144,157,158,170,181,185,203,204,205,209,216,229,241,245,261,263,277,284,293,307,313,341,350,359,376,383,384,397,413,418,426,429,431,434,457,462,467,481,488,508,511,514,515,524,530,543,568,576,587,598,617,653,670,674,705,710,732,740,751,761,767,781,790,807,821,831,841,849,850,853,866,867,880,893,894,899,928,932,940,941,949,954,957,962,967,969,970,977,982,989], % 323
[10,22,23,29,36,70,72,93,96,98,107,111,113,120,126,132,133,139,143,153,167,172,189,203,204,219,249,263,266,267,270,279,283,285,294,312,318,319,325,382,392,396,409,413,425,435,449,450,483,487,489,497,507,509,519,523,524,529,530,531,540,552,564,577,582,589,598,617,618,647,649,652,654,657,674,679,682,698,721,723,732,741,755,760,762,766,767,773,783,804,809,812,821,827,848,862,865,880,894,919,942,957,973,983,985,991,995], % 324
[6,7,9,12,39,50,53,54,73,74,91,92,106,110,150,168,172,184,193,195,201,204,205,216,274,281,282,301,316,317,318,339,360,383,390,401,404,449,476,496,510,525,526,533,535,541,549,559,562,563,570,577,596,608,624,627,633,635,642,646,658,669,675,676,678,679,690,700,713,725,732,738,740,766,789,806,818,828,829,836,839,890,901,907,909,923,979,980,987,991], % 325
[5,13,16,22,37,46,49,58,63,69,70,77,111,130,147,152,165,166,181,191,192,219,223,236,242,249,258,266,273,276,280,289,303,323,331,339,344,359,361,379,390,394,398,431,442,443,456,478,483,488,494,501,509,516,520,521,526,531,533,546,548,565,579,582,605,612,617,630,633,639,641,650,654,656,659,682,695,701,708,726,734,740,752,767,776,779,784,791,796,805,818,823,856,861,884,885,895,910,929,945,963,966,969,972,991], % 326
[9,14,20,28,31,64,71,73,75,76,83,100,110,127,130,149,154,157,166,190,192,202,204,221,245,270,273,275,279,287,294,311,328,338,339,346,357,375,387,388,393,394,427,436,438,439,440,443,445,459,472,474,486,489,501,509,524,543,545,556,564,611,626,634,636,649,653,679,682,684,685,699,724,753,763,767,768,776,790,803,806,807,811,820,826,828,844,846,853,854,866,872,891,900,903,904,905,910,911,915,923,929,933,936,959,967,983], % 327
[29,52,65,72,77,82,92,111,119,121,134,141,146,161,167,171,173,176,179,180,185,193,196,200,201,202,219,221,290,294,296,315,334,336,349,360,368,381,384,392,440,441,466,492,515,522,527,528,532,549,594,604,611,618,635,662,682,692,727,747,756,768,777,784,788,797,798,851,853,856,867,872,880,883,889,891,900,916,942,956,960,968,973,983,987,1000], % 328
[1,5,26,29,35,45,62,69,84,85,88,97,101,112,113,135,154,168,174,183,193,197,201,236,242,260,276,278,280,281,292,294,295,309,310,330,331,344,349,350,371,394,396,397,404,412,423,428,434,442,455,457,472,482,483,484,489,490,494,505,523,524,527,528,531,533,546,553,556,557,560,564,575,585,594,595,598,600,606,607,618,622,649,658,659,667,673,684,701,703,714,725,734,736,754,782,785,807,810,826,827,830,844,880,902,912,914,916,918,919,936,941,947,962,976,983,985,990,995,1000], % 329
[11,13,29,42,45,50,76,132,135,139,140,155,159,166,176,177,186,189,193,194,202,215,228,230,245,252,261,264,272,285,288,292,308,311,324,331,334,341,357,370,387,394,396,476,479,496,506,533,552,557,566,569,572,578,582,589,600,607,610,612,617,627,659,660,677,685,686,724,725,744,746,747,759,785,787,795,799,806,842,844,855,862,874,879,886,887,913,921,923,927,931,939,955,962,983,994], % 330
[5,16,19,22,31,35,44,48,57,62,68,78,88,90,98,99,102,106,107,113,116,117,136,143,166,171,173,174,176,177,180,193,228,241,251,256,269,292,293,303,307,310,317,329,339,341,347,349,351,354,360,361,370,371,382,386,412,415,419,426,459,462,471,492,496,500,507,520,525,541,549,550,561,571,573,586,595,600,614,618,626,650,668,671,677,688,691,696,697,698,713,778,779,782,797,820,828,846,855,856,858,863,873,877,899,907,909,930,936,943,951,954,976,983,985,988], % 331
[2,9,37,65,66,71,85,86,108,110,112,127,130,135,138,158,172,185,187,192,195,209,215,222,244,250,255,263,268,283,298,309,314,318,322,328,338,367,371,372,379,380,392,411,417,420,425,434,446,448,455,457,459,468,473,480,491,502,509,545,547,557,561,567,582,605,607,627,637,640,655,663,679,680,689,699,705,710,718,738,743,752,767,769,802,808,809,813,836,849,852,879,882,893,922,938,952,976,983], % 332
[12,31,57,88,100,104,115,121,126,140,146,172,178,247,263,279,280,294,299,310,324,332,352,364,379,391,392,401,421,438,441,453,466,488,505,509,515,534,545,566,567,572,573,609,615,636,659,666,667,675,679,681,688,713,727,728,740,741,752,766,778,791,795,823,843,855,887,900,917,920,921,925,953,956,964,969,972,974], % 333
[40,41,47,53,57,63,75,80,84,103,113,122,159,169,172,175,176,184,190,271,293,308,312,331,363,373,376,378,407,411,413,425,436,437,440,445,450,451,459,483,486,487,493,500,503,515,535,543,551,555,561,566,580,605,609,610,630,640,642,643,652,677,690,712,717,732,748,754,758,768,773,775,777,792,793,795,798,803,817,819,837,850,872,881,888,894,913,922,941,945,946,959,965,971,974,985], % 334
[1,4,7,13,14,16,20,26,37,43,71,73,79,88,92,95,100,105,150,153,156,171,179,188,193,195,210,213,225,233,239,243,244,248,249,261,264,293,297,318,327,328,334,341,343,348,352,358,361,367,387,399,422,441,444,452,456,468,488,492,499,530,546,551,588,589,592,594,609,612,618,633,650,651,660,685,691,700,707,711,729,737,745,763,770,783,784,800,802,820,821,834,852,853,854,879,897,902,907,912,917,946,954,957,969,978,983,990], % 335
[6,48,63,64,70,98,105,121,149,150,159,161,163,176,177,198,209,217,222,234,239,241,281,284,290,294,339,346,351,353,360,374,377,379,382,397,403,408,418,428,432,435,451,456,472,506,508,517,527,544,547,552,554,578,585,588,615,624,628,647,666,676,683,687,709,717,723,725,736,758,765,766,768,773,790,798,804,805,809,819,821,823,837,854,856,869,876,883,887,906,936,944,947,959,964,966,968,981,983,984], % 336
[9,12,16,18,20,29,34,35,39,52,102,106,109,114,115,129,134,152,161,165,166,170,173,177,183,185,193,196,199,205,218,223,231,271,272,279,296,297,302,309,329,346,349,361,394,410,414,423,435,438,448,453,456,467,469,480,485,486,489,508,525,528,546,553,565,570,571,576,586,591,607,619,623,631,654,670,687,688,697,706,724,725,756,760,764,772,781,784,799,836,838,853,869,882,889,896,904,907,910,919,921,923,930,935,962,968,970,989,998,999], % 337
[16,21,25,31,32,42,52,61,64,74,79,80,101,106,108,115,126,135,139,143,146,149,155,189,190,195,196,197,216,220,239,247,248,258,263,267,271,273,277,307,310,319,327,328,330,336,353,359,389,400,403,418,424,432,444,462,492,493,494,497,504,525,532,533,535,539,545,546,559,576,579,600,601,603,606,607,616,658,661,666,667,668,671,676,682,684,691,706,710,741,746,747,748,749,779,782,793,806,809,812,820,823,843,847,850,851,879,881,893,898,901,958,959,969,975,981,996], % 338
[1,14,30,58,85,89,119,126,139,140,141,153,162,175,183,197,201,222,224,230,242,264,278,279,304,309,310,321,322,336,345,364,390,392,406,408,410,415,416,417,431,459,482,486,488,492,498,507,530,553,556,561,563,564,572,577,585,596,600,607,632,633,638,646,647,651,663,678,684,695,699,715,716,721,729,731,739,745,754,757,811,822,823,826,834,836,837,846,861,862,870,875,892,921,923,929,939,954,957,968,970,980,997], % 339
[3,10,15,34,36,49,55,66,93,104,111,122,124,131,135,141,147,149,151,154,162,170,215,218,220,226,231,238,250,251,282,286,288,290,292,303,305,320,325,330,332,334,339,344,355,357,358,368,394,399,401,406,416,432,442,446,465,476,485,499,540,542,560,569,570,578,593,596,601,615,633,634,635,642,656,658,667,676,690,698,705,707,708,725,728,736,769,778,782,801,803,837,840,870,890,891,895,901,902,907,910,925,936,937,953,960,970,987,997], % 340
[10,35,36,45,57,61,69,82,84,94,104,108,109,110,137,149,157,159,164,167,198,208,212,213,220,221,233,237,249,253,256,262,277,280,283,295,304,305,332,357,358,381,394,408,417,440,444,460,461,475,476,485,487,507,512,513,514,520,528,539,551,556,557,561,569,578,585,602,605,618,624,629,630,642,645,646,662,669,689,692,699,703,717,729,734,748,769,770,784,795,806,811,816,835,836,841,847,850,854,864,873,886,890,903,904,911,914,915,930,944,951,955,961,972,973,975,994,997], % 341
[29,30,31,39,41,51,62,63,79,109,113,122,124,152,175,191,197,201,204,209,230,236,239,255,277,285,293,301,313,326,330,333,347,350,352,353,355,358,370,380,391,395,416,425,427,463,466,469,473,483,490,502,517,521,522,525,528,530,538,546,551,556,560,570,572,573,577,588,594,600,615,617,618,630,648,655,676,701,706,716,723,735,754,779,780,785,786,788,790,794,798,806,819,822,824,833,843,845,877,898,930,937,944,947,954,955,975,977,991,996,1000], % 342
[12,48,50,66,81,84,89,91,101,109,117,120,140,147,150,151,153,166,179,202,213,216,263,273,310,317,321,322,326,335,344,347,354,375,385,386,394,396,406,410,422,450,452,465,473,475,476,487,488,489,499,504,507,525,533,544,554,555,562,604,611,620,624,630,658,671,680,690,697,698,710,749,751,760,763,766,778,780,786,797,807,821,834,837,849,850,869,879,882,894,899,915,936,941,955,965,967,978,993,998], % 343
[19,21,38,40,54,65,69,75,78,82,95,100,117,138,142,148,163,166,171,181,196,229,237,239,256,267,270,283,291,298,307,331,332,351,352,358,367,368,378,399,420,431,435,440,449,464,466,469,474,476,482,499,514,521,522,525,549,551,585,606,612,616,633,636,639,646,649,653,657,658,660,664,668,681,687,708,729,743,753,759,817,826,833,843,856,864,874,883,886,887,892,899,900,916,918,938,945,957,963,970,971,974,980,983,992], % 344
[21,37,40,60,93,103,104,106,120,122,123,129,132,138,142,154,164,169,174,180,187,204,205,209,246,252,265,267,269,281,286,312,320,326,337,351,354,357,371,379,383,390,393,403,407,415,426,441,450,472,478,486,498,500,505,508,509,515,523,527,531,533,550,566,569,578,587,603,612,624,626,668,672,694,699,713,715,716,734,740,744,748,754,772,779,781,793,803,810,845,866,873,882,885,888,894,900,902,912,921,928,932,943,950,959,965,972,974,980,982,989,990,992], % 345
[13,34,35,37,39,41,51,57,67,98,101,149,150,151,164,166,168,171,174,190,196,200,205,215,222,232,233,234,235,250,252,253,259,261,293,306,317,325,336,361,374,391,392,416,418,419,420,423,430,434,441,447,449,459,465,468,470,472,475,480,482,489,494,504,513,520,530,532,551,552,556,563,591,594,604,605,612,614,615,618,625,626,633,641,651,664,670,700,707,714,726,733,734,736,741,742,752,756,761,777,783,787,813,817,824,833,844,862,873,884,889,896,899,902,907,914,942,948,950,952,963,969,978,981,986,998], % 346
[2,3,9,16,34,37,56,58,67,121,125,129,136,166,193,199,203,207,211,212,227,234,236,237,241,259,265,267,269,270,272,305,306,308,336,340,346,349,351,358,362,373,374,377,379,389,400,403,406,411,429,436,446,455,478,479,482,496,519,523,532,534,536,538,558,578,579,584,600,601,618,622,627,638,641,649,657,669,672,673,679,693,695,709,717,722,732,740,752,758,759,762,765,769,795,797,806,809,816,820,826,830,839,851,871,876,882,892,915,918,919,928,943,961,965,966,984], % 347
[6,11,23,38,43,46,58,64,85,96,104,111,114,120,129,145,153,161,167,168,169,170,193,201,212,235,263,264,287,296,299,305,309,314,319,338,341,355,361,367,368,383,397,422,436,449,461,469,488,500,501,502,526,538,555,558,571,588,596,598,603,606,616,618,623,627,628,634,656,659,689,692,704,705,706,713,720,722,728,732,734,749,752,755,764,772,776,779,805,812,822,825,834,837,839,856,898,899,910,912,915,919,921,928,940,946,950,957,981,990,995], % 348
[13,19,44,53,58,60,71,84,96,107,108,112,146,165,167,184,195,204,222,239,240,251,258,265,275,285,298,322,327,335,341,345,358,360,368,369,383,390,397,398,405,406,421,422,436,444,445,449,450,451,495,507,514,522,543,558,593,596,597,606,623,641,647,657,660,671,688,690,709,743,760,762,766,788,796,803,812,843,853,873,874,877,888,895,897,905,916,922,925,930,939,942,954,966,970,982,986,991,992], % 349
[46,53,59,87,102,107,113,138,140,141,146,147,186,191,218,223,239,249,265,280,282,296,299,303,308,317,326,331,334,342,372,381,447,452,453,455,465,475,480,509,515,520,525,545,548,550,553,554,604,612,622,625,630,636,638,651,653,663,682,717,720,724,731,741,745,750,758,759,765,768,776,782,783,792,813,817,829,839,847,855,856,896,905,924,928,929,932,933,962,969,974,982,985], % 350
[6,10,43,57,68,69,81,91,100,108,109,135,145,155,178,186,197,205,217,224,230,236,238,259,268,276,279,291,298,305,311,314,316,327,335,375,395,407,427,428,447,449,458,475,476,483,507,511,520,524,567,568,575,582,584,591,597,602,603,611,612,616,617,621,622,628,634,650,664,676,679,682,683,695,696,706,709,711,732,735,750,761,766,767,773,782,790,791,796,799,802,826,833,843,853,862,869,880,882,896,897,914,916,924,925,949,971,974,978,987], % 351
[2,17,22,32,34,35,39,43,50,51,52,62,63,70,74,93,99,139,157,185,220,233,254,256,285,302,311,312,313,337,354,377,382,405,406,411,414,425,434,444,447,458,459,467,474,475,485,486,491,492,497,501,517,523,524,542,543,557,563,590,593,598,621,625,635,648,651,679,688,702,719,725,732,741,748,751,756,762,770,773,823,826,833,838,846,876,896,902,917,923,927,940,953,963,964,969,979,981,988,995], % 352
[27,31,36,45,54,56,66,69,94,97,120,128,132,144,161,173,179,183,202,203,212,225,228,235,236,242,256,277,298,322,324,329,332,345,348,357,362,394,397,399,441,445,448,452,458,499,508,517,522,530,542,543,560,564,579,590,597,615,641,657,680,681,691,695,696,700,705,707,717,725,734,745,758,764,775,792,796,797,802,804,810,819,820,826,838,852,878,907,917,925,938,947,960,966,979], % 353
[2,32,35,41,53,68,82,102,115,118,168,173,180,181,186,200,202,218,219,232,243,257,264,285,286,290,308,310,313,324,325,334,349,352,375,403,414,417,420,422,426,450,462,484,486,488,502,516,538,550,565,606,618,619,622,626,637,641,673,693,700,706,711,718,730,731,736,740,764,768,770,773,780,795,802,806,807,808,811,816,828,836,871,881,889,894,897,915,918,926,929,935,940,943,951,961,968,970,980,995,999], % 354
[27,30,41,53,60,79,105,123,134,139,146,163,176,183,185,191,198,201,212,220,249,270,275,294,297,303,358,368,372,374,384,388,398,410,411,424,425,432,433,441,442,478,496,514,539,549,563,564,566,587,599,616,619,622,626,678,691,692,701,714,718,724,726,731,736,738,741,745,748,749,750,751,759,760,769,771,776,779,783,790,807,809,820,824,830,862,864,890,898,903,914,922,925,964,972,984,996,998], % 355
[8,41,63,79,93,101,103,110,117,132,161,163,174,176,183,188,191,194,195,202,217,265,274,289,303,315,329,344,354,369,370,381,385,395,403,408,424,428,457,460,464,478,479,490,505,507,524,525,530,545,556,573,592,601,606,625,635,638,645,647,648,652,659,672,673,688,705,715,716,717,743,745,754,774,797,804,806,820,826,827,831,845,846,849,855,865,871,885,895,898,922,936,942,956,958,991], % 356
[2,12,35,43,46,47,48,50,92,97,105,116,134,136,141,150,156,165,175,178,204,222,237,238,239,245,248,251,254,255,261,275,282,294,300,315,328,338,343,349,350,353,354,359,368,374,382,383,403,406,416,429,469,470,474,484,493,494,509,520,522,529,534,538,542,545,548,551,580,586,606,609,610,675,685,689,708,750,768,772,782,783,787,790,795,811,816,819,829,834,844,849,870,872,882,890,894,904,925,931,944,945,962,975,976,994], % 357
[3,21,37,51,58,62,67,68,76,81,106,110,111,120,123,126,131,138,146,151,158,163,172,177,209,215,229,234,253,259,285,301,304,305,308,326,340,357,365,370,379,382,397,399,410,418,435,436,443,445,446,457,465,466,477,478,490,493,502,507,509,510,512,514,521,547,549,562,565,588,602,605,610,611,615,616,638,640,642,644,651,665,696,731,744,751,752,765,769,770,772,785,789,791,832,842,844,854,862,876,884,910,912,938,970,991,993,997], % 358
[8,11,15,17,22,39,48,62,69,72,87,93,104,109,113,121,130,139,145,151,153,154,159,193,195,209,213,219,221,223,244,248,263,272,276,289,298,323,327,333,348,350,361,366,367,375,378,380,398,399,401,407,414,419,426,457,458,467,477,483,491,492,498,499,501,502,505,509,515,529,539,540,547,585,600,612,621,636,638,643,665,670,690,699,720,727,728,729,754,769,793,802,807,808,814,826,827,831,834,843,895,900,902,915,924,931,933,942,962,963,967,978,991,995], % 359
[8,33,49,68,85,89,114,123,138,158,160,174,175,184,199,203,217,222,242,247,252,262,271,272,277,287,288,296,309,331,339,349,358,363,382,388,397,398,419,426,434,435,451,478,482,485,487,488,494,496,503,508,538,543,546,559,587,592,601,606,608,612,614,621,649,659,665,666,669,675,693,699,704,731,733,743,750,751,754,758,760,768,785,787,788,792,793,794,796,801,809,822,844,853,862,893,924,941,956,961,967,972,974,975], % 360
[2,17,32,38,40,43,60,61,67,70,74,101,122,123,146,151,154,161,163,175,201,216,227,231,238,272,285,291,294,298,321,323,330,357,374,400,401,420,427,429,430,436,446,454,465,468,476,478,483,485,490,496,499,508,518,528,556,563,576,577,592,596,631,636,641,643,644,650,652,655,671,679,708,715,717,720,724,726,732,744,746,751,764,778,784,792,794,803,808,820,825,842,845,846,849,873,880,886,891,913,937,943,949,963,975,979,984,986], % 361
[21,49,58,59,70,78,85,98,107,108,115,123,127,133,138,145,153,156,158,161,175,191,208,226,229,234,238,239,246,256,259,260,288,294,298,301,305,310,322,337,339,346,347,348,353,367,368,378,381,396,399,460,465,473,493,503,505,510,521,528,537,555,567,568,576,595,604,606,612,626,637,639,649,652,661,670,676,688,689,695,696,700,713,730,731,742,743,753,778,792,802,813,822,824,826,833,836,837,842,864,867,870,875,896,932,997], % 362
[23,33,47,48,49,61,62,76,78,91,95,101,105,111,118,125,130,144,152,155,163,169,178,179,180,183,187,212,215,220,270,294,301,308,322,323,330,335,348,351,362,375,380,410,412,419,442,444,446,457,458,466,469,481,484,487,507,517,519,526,534,544,550,572,577,580,585,587,594,600,608,619,629,633,639,643,649,652,653,666,671,682,693,695,710,724,731,737,753,758,770,772,777,807,818,822,828,833,843,845,849,854,859,887,890,909,917,964,969,989,993,996], % 363
[15,25,31,40,42,46,81,89,106,110,113,121,124,126,129,140,142,144,145,147,174,178,188,194,200,234,247,248,250,253,255,269,270,314,319,324,325,357,361,376,408,412,413,415,416,421,425,430,438,443,445,453,469,472,476,480,492,498,507,511,515,519,525,529,534,561,570,573,576,587,613,616,640,647,648,651,673,678,679,703,705,713,723,735,740,755,756,758,765,766,774,779,819,842,853,854,860,862,864,871,908,913,917,945,948,972,973,981,989], % 364
[2,3,8,16,28,33,52,58,63,72,82,85,89,94,99,111,126,135,137,138,142,147,174,189,195,197,226,228,229,265,288,289,298,319,323,344,349,371,377,387,392,399,405,410,412,421,423,428,436,438,444,449,451,454,463,465,483,500,509,512,536,542,552,563,567,592,593,596,604,609,653,672,673,688,696,701,731,732,733,735,762,764,780,802,824,842,850,856,857,867,873,877,889,899,900,924,925,936,950,951,955,963,990], % 365
[4,27,62,64,85,104,150,158,160,162,198,201,206,209,210,232,241,244,245,249,260,272,273,274,280,289,297,304,305,306,319,324,327,328,335,349,356,370,375,387,391,395,402,414,439,448,459,496,513,517,520,538,546,552,554,569,579,582,587,609,637,641,643,648,663,670,696,704,721,728,729,756,767,778,783,791,805,809,814,828,841,843,844,854,899,940,950,957,982,984,995], % 366
[5,10,29,41,42,45,48,58,60,62,71,79,82,90,94,102,103,104,108,110,119,121,122,127,129,135,137,142,150,159,178,183,187,200,206,213,215,249,260,276,290,310,311,319,330,345,361,385,387,388,398,407,411,427,445,446,447,454,457,480,483,488,501,502,506,511,515,522,526,534,550,565,583,605,620,639,643,654,675,686,703,704,714,715,729,759,785,787,788,801,828,842,847,853,862,870,871,873,878,883,884,892,893,902,906,928,936,938,951,952,967,970,998], % 367
[1,7,16,54,80,90,95,107,132,135,136,139,147,162,173,174,214,217,218,235,246,247,261,273,280,287,291,296,303,304,310,311,316,318,327,329,330,332,364,379,381,395,401,402,404,427,430,442,459,472,480,482,483,509,536,544,547,553,554,559,570,573,576,586,598,600,612,616,619,621,627,671,674,707,718,726,727,728,739,748,754,779,781,796,835,853,856,862,863,870,871,890,910,928,933,938,958,960,992,996], % 368
[8,9,19,22,26,35,44,54,73,96,99,100,104,129,146,178,186,196,221,228,247,249,262,265,271,273,277,290,301,307,310,325,330,335,337,344,347,367,386,388,417,428,430,435,454,468,472,479,482,490,493,494,497,502,510,516,538,552,561,563,564,567,582,591,603,617,627,635,665,680,686,696,702,710,737,740,777,780,782,786,796,803,809,813,816,818,831,833,836,844,849,873,883,895,898,899,921,926,941,943,944,945,960,974,977,983,986], % 369
[18,32,37,73,76,100,115,133,146,149,151,159,163,170,198,201,218,224,250,254,259,265,267,273,290,292,324,342,343,346,349,354,383,392,396,403,407,445,453,465,470,491,495,505,529,536,548,552,558,559,585,587,596,597,607,621,622,647,648,659,666,676,684,688,710,754,759,764,769,786,793,806,814,833,843,881,892,901,914,936,938,942,945,967,972,973,977,983,986], % 370
[20,21,34,37,42,72,105,114,133,138,145,146,147,158,160,174,178,182,186,195,220,239,240,241,242,244,266,282,286,287,294,307,309,315,332,333,350,353,360,362,364,367,382,406,411,415,422,436,457,468,480,502,536,553,558,564,576,589,605,616,618,658,667,678,682,684,686,687,746,750,763,788,791,818,826,832,838,840,889,906,920,921,933,946,951,956,960,964,980,998], % 371
[20,23,45,49,53,55,66,74,76,77,91,95,103,110,113,120,159,174,193,196,204,209,212,240,241,245,259,265,267,272,278,285,296,299,321,342,343,355,365,366,370,387,406,426,441,448,449,476,494,501,509,511,514,524,527,532,547,548,558,565,580,587,608,609,612,623,625,630,651,654,656,671,672,682,717,720,722,764,771,790,801,826,843,847,862,867,875,885,887,894,895,897,899,900,901,907,911,915,919,921,931,935,938,948,976,980,983,992], % 372
[6,16,20,23,33,79,97,106,107,123,134,143,150,154,166,178,179,192,193,199,201,203,211,212,216,221,222,224,227,239,242,251,252,267,271,275,281,290,301,327,328,334,342,349,360,361,378,393,410,419,424,438,440,453,458,475,481,497,519,529,530,545,552,554,582,584,598,601,603,612,621,631,636,649,659,661,683,695,698,699,706,716,720,726,727,734,751,779,797,812,854,861,877,881,889,892,906,907,909,929,935,936,978,982,996], % 373
[3,6,52,53,72,75,92,109,113,117,126,132,153,164,177,195,198,210,211,217,241,261,311,315,320,321,338,344,357,363,369,373,408,411,414,420,468,472,475,497,504,512,525,530,532,536,538,542,576,577,594,596,606,608,612,614,617,632,633,643,655,668,677,680,687,718,722,726,728,770,777,782,789,804,811,813,818,819,825,826,827,840,870,883,887,892,896,897,901,902,906,907,908,925,930,932,934,935,936,944,948,961,978,992], % 374
[2,7,9,12,53,65,69,80,88,92,96,104,112,125,132,134,166,178,179,181,184,190,200,213,216,220,247,250,251,252,257,258,265,327,330,333,346,365,369,383,402,424,442,464,480,502,521,526,534,553,558,564,571,586,591,594,602,607,615,626,666,667,679,680,681,684,688,721,723,725,727,746,748,750,754,760,764,787,805,824,834,835,843,848,853,862,873,880,882,883,887,904,908,910,913,916,926,972,985,986,991], % 375
[4,40,41,53,56,64,72,78,81,84,85,89,100,101,102,132,147,154,171,227,245,276,304,305,312,320,324,332,333,358,388,406,429,431,435,464,466,468,472,473,477,478,492,506,510,539,540,542,547,548,551,561,578,588,603,606,609,610,613,616,622,628,630,631,632,637,649,658,666,667,674,687,688,698,714,743,745,747,753,768,772,818,821,838,845,846,871,883,902,907,912,922,923,924,946,957,961,980,981,989], % 376
[2,7,12,39,50,51,89,96,100,111,119,131,136,140,161,162,171,176,177,204,214,221,248,260,261,264,286,290,291,297,307,326,330,354,357,366,370,374,375,386,402,403,417,419,420,422,431,434,465,473,476,490,497,506,509,539,564,592,597,607,608,623,671,681,690,721,731,746,771,777,794,796,797,804,810,815,829,834,843,861,865,876,886,889,892,905,911,916,925,927,928,955,969,974,987,994,995,996], % 377
[4,8,22,26,29,38,42,43,55,59,78,83,97,126,136,141,147,159,160,166,193,217,222,228,243,245,250,261,285,292,301,317,335,342,357,367,376,380,383,410,419,420,425,435,437,443,486,502,509,529,532,544,547,549,551,560,583,607,615,616,629,638,650,655,667,671,674,678,705,712,714,715,719,720,728,733,738,762,785,808,813,828,833,840,855,856,872,896,917,919,933,943,945,948,968,984,998], % 378
[8,16,38,53,57,78,83,86,97,135,141,144,168,183,186,189,196,216,223,229,238,246,248,251,262,269,287,295,312,323,338,362,381,390,411,419,424,426,432,443,458,466,471,472,478,497,519,528,535,554,562,569,606,618,631,632,635,646,657,661,690,692,696,704,722,729,732,736,753,759,765,772,782,788,817,825,834,842,853,876,885,895,920,924,932,933,939,947,948,956,986], % 379
[3,13,14,30,37,45,57,66,67,72,77,79,81,87,88,91,93,97,99,102,106,130,152,166,184,201,203,219,233,245,246,248,255,258,271,273,274,287,290,293,298,319,327,331,340,343,344,355,366,387,396,414,426,430,435,448,467,486,491,494,523,548,549,569,577,604,627,635,641,649,651,672,696,711,716,754,755,756,757,763,767,768,772,774,791,800,806,809,815,820,823,833,844,847,851,867,871,872,875,887,891,906,914,917,924,929,933,949,959,970,979,993], % 380
[2,31,46,79,83,98,115,132,136,153,161,164,173,179,180,183,198,204,208,215,220,235,241,245,255,257,260,280,283,291,307,311,327,348,350,352,356,372,383,416,421,438,457,486,490,493,508,512,542,548,556,575,587,609,612,626,634,642,662,687,709,714,746,754,763,765,766,771,806,808,811,814,815,837,850,878,887,909,925,927,937,938,946,951,959], % 381
[10,11,34,51,57,65,72,78,91,112,119,122,159,162,165,177,183,191,203,214,241,250,263,269,270,279,282,286,287,289,290,292,298,325,341,342,356,363,366,383,384,387,399,407,428,432,444,455,462,466,472,502,503,532,535,536,550,551,570,572,574,602,603,608,613,622,628,633,647,649,654,683,695,703,715,717,732,739,742,743,747,751,777,784,797,835,838,843,847,876,884,918,932,933,937,953,962,964,998,999], % 382
[4,6,26,29,38,59,67,100,102,136,142,151,160,165,169,170,177,179,196,224,229,235,243,248,249,260,262,285,303,306,307,313,330,338,348,370,404,442,465,469,474,506,510,512,516,519,529,535,536,537,541,545,550,558,591,598,611,612,619,631,633,649,657,670,673,675,689,725,735,744,746,756,765,776,784,801,825,827,830,849,853,854,860,869,890,928,933,935,947,954,981,983], % 383
[18,31,45,46,63,68,73,77,96,103,107,120,134,147,159,162,196,216,255,257,265,285,286,294,319,332,333,341,380,389,409,417,433,464,467,475,477,504,511,522,530,534,540,553,559,562,565,566,569,575,579,582,602,624,625,680,681,682,691,711,724,732,769,773,779,785,790,802,831,842,844,853,857,862,870,878,897,907,919,923,944,947,952,956,964], % 384
[8,32,40,50,60,76,81,89,97,98,105,107,112,138,143,144,145,149,158,163,173,180,192,197,221,224,245,249,255,266,282,294,321,354,367,372,380,404,409,414,426,427,443,447,455,456,467,508,512,523,537,555,561,576,580,593,594,602,607,609,611,618,631,644,655,658,673,674,706,729,731,732,741,750,763,776,780,789,791,798,814,821,835,874,877,878,883,884,901,904,905,912,913,926,954,965,969,986,990], % 385
[2,5,7,32,35,42,45,48,57,63,66,69,72,98,108,111,118,127,128,132,134,141,144,145,154,155,162,165,176,241,246,265,266,271,275,287,315,319,323,326,327,332,338,347,349,362,385,392,408,409,423,439,446,448,452,454,461,476,482,501,505,506,510,511,517,518,532,533,537,542,546,553,559,566,568,592,623,627,637,642,647,649,665,673,675,676,686,690,697,701,711,714,722,735,736,737,745,751,755,779,789,792,794,795,798,800,803,819,851,852,872,891,914,921,929,942,959,966,989,991,993], % 386
[5,24,55,90,131,133,144,145,147,157,158,162,167,170,171,172,176,190,199,206,208,215,223,229,234,240,246,249,275,287,292,308,314,318,327,329,336,346,348,364,371,372,396,400,402,411,426,430,445,471,478,479,488,511,516,518,545,549,561,564,567,620,624,627,631,632,651,668,669,677,685,708,713,722,728,732,735,737,738,766,768,779,789,791,792,797,798,813,829,835,847,848,852,864,876,883,902,908,914,925,929,932,956,965,975,976,998], % 387
[5,18,19,29,37,46,52,72,91,101,111,125,126,143,151,161,180,188,208,236,245,256,263,295,296,302,304,321,326,344,345,347,350,385,389,404,410,417,451,453,479,493,494,498,504,509,520,524,529,544,548,551,559,565,566,572,597,602,606,624,628,633,641,665,673,682,688,705,708,717,721,723,740,763,765,796,812,847,852,857,858,873,877,889,901,908,920,924,925,927,940,950,961,980,993,995], % 388
[8,17,46,62,71,80,81,89,99,100,102,123,126,127,129,131,139,140,153,171,205,206,224,226,227,241,244,252,276,293,300,306,308,312,332,356,357,360,362,387,402,418,428,455,462,477,484,485,497,526,527,535,546,548,557,581,591,592,607,609,614,617,633,648,659,662,665,672,677,684,688,690,701,705,708,710,713,741,743,762,768,772,775,782,792,810,816,846,858,862,889,905,912,917,920,932,937,943,956,958,970,981,992,995,1000], % 389
[8,19,20,37,44,54,62,63,74,77,119,148,152,156,158,159,178,189,196,202,203,234,242,255,257,264,276,278,289,290,293,296,298,311,335,341,351,355,366,385,389,405,410,429,434,436,444,452,473,492,493,502,503,511,519,524,542,544,545,554,557,570,574,576,593,601,607,617,620,652,656,661,662,675,679,680,684,687,700,706,712,731,741,744,759,775,779,806,816,828,830,866,897,906,912,914,924,934,948,959,964,985,988,999], % 390
[5,40,42,44,52,53,57,59,86,93,123,136,140,148,152,155,161,165,174,178,180,185,230,256,260,268,290,292,306,321,327,331,332,333,343,355,372,395,398,401,404,408,413,418,419,423,436,456,465,468,471,476,477,480,492,494,502,510,527,529,537,551,557,564,574,579,581,586,589,611,616,617,626,634,635,640,644,666,667,683,684,697,704,709,714,722,727,729,734,742,750,762,772,782,785,790,791,849,851,858,861,867,877,901,910,914,916,943,949,956,961,973,974,981], % 391
[4,5,13,21,47,48,53,54,56,59,63,69,75,76,92,102,119,125,139,144,148,150,170,194,210,211,219,234,244,246,247,268,272,285,288,297,304,318,322,323,339,346,348,363,376,395,414,415,416,446,456,462,475,490,506,514,517,518,528,575,578,643,657,708,715,725,727,772,776,778,779,806,809,841,850,853,862,865,867,881,890,891,916,926,937,939,945,983,988,989], % 392
[2,15,46,58,63,68,74,77,78,84,86,95,105,107,109,116,120,132,134,137,159,177,179,180,198,217,218,240,246,251,257,260,272,280,282,290,298,299,311,323,332,337,344,364,372,382,410,428,429,445,457,460,477,482,486,487,499,512,513,514,549,558,575,578,590,611,641,647,648,649,657,659,672,680,689,695,698,707,708,723,758,763,768,770,772,820,821,824,825,847,872,879,895,900,907,913,922,927,928,936,952,962,966,969,971,994,998,999], % 393
[6,9,35,36,37,45,50,63,77,78,79,95,99,113,115,124,142,145,152,154,174,184,212,217,244,250,256,280,289,309,316,325,341,364,372,380,387,396,398,403,421,425,428,452,465,471,497,517,521,527,560,577,589,610,626,630,648,649,655,668,669,696,698,715,719,727,737,762,764,765,766,769,778,782,794,796,799,800,817,822,835,839,840,841,889,915,926,930,936,958,962,974,982,987,988,995], % 394
[24,39,50,58,75,77,78,84,101,111,128,146,148,156,174,221,239,246,253,258,266,277,283,299,317,319,344,362,386,390,407,410,415,426,439,442,444,461,464,471,473,485,492,522,527,537,557,563,564,590,625,639,656,670,671,676,678,679,694,698,700,702,704,718,730,746,749,772,776,778,785,792,793,795,803,811,819,832,846,852,862,874,877,884,887,903,920,926,938,947,950,961,987,1000], % 395
[3,9,12,19,23,24,33,45,51,52,77,80,87,91,96,112,140,150,154,156,162,170,188,193,201,228,229,231,232,237,242,244,248,250,260,274,284,285,289,304,328,354,364,374,379,383,389,405,409,410,414,420,432,445,454,468,478,516,530,534,535,570,575,579,589,591,593,594,598,610,637,645,652,678,685,687,690,692,699,703,714,718,720,721,723,735,744,755,757,761,781,796,806,807,811,812,833,839,842,867,873,876,882,892,903,912,931,958,962,973,980,982,988], % 396
[4,5,10,15,20,43,46,47,54,55,64,68,75,85,119,123,126,161,162,164,168,194,195,203,207,208,215,223,225,232,239,254,256,263,274,277,281,302,307,311,317,322,325,342,367,370,394,399,409,412,415,432,436,445,449,467,480,495,501,530,544,549,568,584,600,602,603,616,617,630,640,663,667,685,705,720,722,736,741,758,778,781,790,823,842,855,863,869,876,895,896,927,928,945,951,983], % 397
[6,9,20,21,42,51,53,63,79,83,92,123,134,137,144,146,150,159,181,182,197,199,200,224,256,265,270,275,290,305,313,315,352,367,381,386,389,396,421,428,435,439,450,459,467,477,495,502,510,515,527,529,530,554,571,575,576,600,644,652,675,679,697,700,704,710,713,717,733,734,747,748,750,751,788,793,796,805,817,833,839,840,857,862,868,876,892,897,925,926,928,966,974,981], % 398
[8,17,22,23,31,57,64,113,119,178,217,228,248,264,267,269,282,284,297,302,304,332,335,341,345,356,358,402,409,441,444,456,474,486,487,489,490,491,496,500,503,522,536,542,552,554,559,571,587,593,597,598,615,616,621,634,638,645,649,652,665,682,687,688,700,701,711,718,744,758,762,778,809,820,841,846,861,862,864,890,892,895,897,903,906,921,925,942,948,950,954,964,967,974,987,988,993], % 399
[35,36,61,67,68,122,125,143,149,155,157,163,169,176,184,186,199,202,203,206,217,218,235,238,239,251,253,255,273,296,323,331,344,359,369,381,386,393,411,428,433,435,448,452,458,460,468,479,502,529,533,551,570,577,578,584,587,603,617,626,639,657,671,673,685,703,712,729,731,753,755,760,761,773,774,789,797,799,813,822,825,829,845,864,866,905,924,939,945,968,981], % 400
[6,7,15,16,17,19,26,44,49,52,57,75,82,94,95,96,103,127,137,141,148,160,162,167,182,190,204,224,226,229,243,261,271,275,281,306,312,314,334,360,362,375,384,389,398,404,408,410,411,417,422,427,448,451,459,460,501,528,532,536,541,599,600,608,616,623,630,643,649,668,684,698,713,714,725,727,733,740,745,751,803,809,830,831,835,851,853,878,881,891,893,894,936,943,949,981,982,986,995,996], % 401
[5,11,25,38,43,46,48,54,72,109,126,137,143,151,163,173,176,200,206,219,225,230,238,252,254,256,264,270,277,296,299,311,313,321,330,333,354,356,359,365,371,381,388,393,412,413,417,429,438,468,489,492,501,504,508,514,541,542,566,590,593,609,616,621,627,638,639,645,664,670,674,696,709,722,724,752,761,771,772,783,807,816,837,840,857,862,864,884,886,898,905,920,972,973,978,984,989,995], % 402
[8,21,23,24,34,37,61,72,90,96,102,118,134,170,185,226,232,248,252,257,282,308,309,316,320,333,335,346,381,386,387,391,398,402,408,420,428,433,447,465,469,479,488,496,502,530,538,543,557,574,595,627,635,677,679,687,695,705,709,715,718,720,723,732,741,747,758,762,777,787,788,803,813,816,823,870,905,923,947,964,965,974,978,980,997,999], % 403
[7,29,33,41,44,57,58,60,79,86,101,107,108,119,121,130,134,154,165,166,171,172,174,176,177,186,188,203,205,209,216,220,221,240,249,254,255,256,266,273,275,286,299,312,368,379,380,388,392,393,397,405,438,446,454,456,458,486,491,494,499,513,514,522,525,545,548,561,565,572,582,588,593,602,614,615,627,633,640,652,669,679,688,709,716,717,739,740,742,754,760,762,786,787,800,805,806,825,831,832,836,839,859,865,875,878,880,922,925,937,947,948,952,969,970,981,982,994], % 404
[1,3,16,34,46,48,63,77,80,81,88,94,97,104,120,126,128,164,174,176,192,200,223,231,238,253,256,259,262,290,303,305,319,328,335,336,349,359,362,370,384,387,407,419,447,450,460,468,472,481,487,491,498,504,520,540,544,547,552,554,561,590,594,625,632,655,656,658,674,675,679,704,719,761,771,773,781,810,853,869,871,873,876,886,887,890,891,899,905,910,926,968,970,971,973], % 405
[45,49,62,86,104,108,122,123,147,152,161,166,201,205,232,239,268,283,301,305,312,314,334,340,343,344,345,348,365,366,367,371,374,381,395,413,419,421,428,439,454,467,473,476,487,543,595,604,610,616,623,635,640,647,648,650,651,652,688,689,694,705,724,775,788,789,801,807,814,818,819,829,830,835,836,838,839,845,850,851,856,860,867,884,886,889,901,902,909,911,914,915,951,953,959,966,970,973,975,978,987,990], % 406
[5,7,28,43,47,51,66,82,86,93,106,110,122,124,126,147,154,157,162,169,172,177,205,207,213,215,228,247,278,283,290,295,298,308,310,313,324,330,350,355,361,373,374,386,389,418,445,451,459,464,470,476,478,496,499,513,527,533,550,555,578,584,633,647,661,662,667,674,675,683,693,694,696,699,704,712,720,735,746,752,761,770,772,777,784,789,791,797,811,823,830,855,858,859,860,862,865,875,890,893,904,910,912,924,928,942,967,986,989,995,996], % 407
[7,10,25,34,35,54,81,85,86,89,108,121,129,141,142,153,174,187,190,196,199,200,211,219,234,244,261,263,264,284,285,295,299,302,303,308,313,315,320,324,329,355,371,372,387,447,452,460,479,481,514,528,547,548,560,572,576,587,612,622,631,644,653,655,676,692,708,727,737,738,745,751,766,769,789,791,798,807,810,827,843,849,860,872,877,925,941,948,973,981,990,999], % 408
[38,50,62,75,83,90,91,93,95,99,107,114,115,118,130,147,153,163,165,166,180,184,187,214,217,226,227,231,233,237,250,257,260,261,287,299,314,324,347,349,356,369,371,380,395,396,404,414,422,436,437,438,447,449,453,460,462,492,497,501,531,547,548,573,577,607,612,615,628,657,674,685,697,700,708,713,724,749,753,762,763,767,769,783,803,806,816,819,848,861,873,885,897,899,902,903,906,916,917,922,929,948,960,962,975,993,994,1000], % 409
[3,12,17,25,27,40,48,54,59,61,78,128,133,150,190,195,204,236,247,249,259,308,318,331,338,340,344,346,348,353,358,359,369,377,383,389,390,442,453,457,465,473,487,495,517,532,556,568,578,581,583,590,591,594,598,599,603,605,610,617,628,654,657,672,676,686,700,701,703,719,722,734,737,743,756,766,783,786,791,822,831,842,868,870,881,882,889,900,902,918,924,985,991], % 410
[7,26,28,39,60,65,77,87,97,100,101,121,122,146,171,175,245,275,277,289,296,301,303,314,331,336,340,368,375,380,388,410,414,415,444,447,450,466,485,488,489,491,505,506,511,514,516,522,525,542,559,583,592,626,628,638,654,682,687,714,728,735,741,743,747,748,755,774,809,811,817,818,838,846,857,861,868,888,891,899,937,943,976,979,998], % 411
[17,19,34,46,48,51,55,57,66,103,120,151,165,173,222,223,231,241,246,249,251,261,283,294,297,307,312,319,326,336,347,348,352,367,371,375,381,395,396,404,410,427,428,430,433,434,444,457,481,487,494,506,514,545,547,552,556,570,586,596,602,617,625,646,648,649,655,656,662,686,687,692,695,697,727,738,749,754,763,778,786,801,824,829,832,838,851,854,865,897,898,901,908,937,955,957,967,975,984,995], % 412
[10,19,55,59,66,102,112,118,127,132,147,165,202,208,215,230,240,241,242,244,249,251,258,277,310,315,321,355,376,396,409,421,459,483,495,497,519,525,537,540,545,546,547,552,565,577,583,586,613,625,644,648,650,654,666,667,670,680,722,724,741,761,774,776,778,783,802,816,819,826,836,838,841,842,847,860,863,865,867,869,871,880,882,883,896,907,924,926,939,944,979,991,994], % 413
[8,13,33,35,52,58,61,64,70,103,104,115,126,147,156,186,191,193,207,210,214,216,254,264,275,289,319,320,323,327,335,346,355,357,358,359,361,386,391,393,398,417,426,429,439,452,455,458,471,479,483,491,492,498,526,528,534,538,561,581,582,587,588,591,592,596,616,622,634,659,665,666,675,676,680,681,682,687,711,717,732,766,769,772,779,783,793,801,841,843,848,852,857,863,865,880,885,887,901,925,929,944,967,986,989], % 414
[1,8,14,23,28,46,47,55,62,74,96,101,119,128,156,166,187,188,211,213,227,238,239,242,246,247,269,279,281,294,300,312,313,321,330,335,343,347,349,355,363,367,374,378,384,393,399,402,424,438,469,477,481,495,500,503,508,515,519,526,543,555,559,560,566,569,570,608,641,642,645,649,690,693,702,710,715,723,725,750,751,789,791,793,795,812,826,835,836,841,843,879,903,913,917,929,934,944,945,977], % 415
[15,18,19,34,36,40,41,43,52,55,74,82,83,100,109,115,116,120,146,150,160,161,173,174,177,193,212,219,241,258,265,275,277,281,287,301,302,310,317,331,338,340,341,349,352,366,373,377,387,406,408,436,438,445,448,449,463,468,489,498,508,509,512,525,526,534,567,584,585,626,636,655,680,684,686,693,704,711,732,740,743,745,752,771,774,775,816,818,821,830,838,849,855,858,859,883,933,940,942,945,952,955,956,964,984,991,999], % 416
[10,16,34,41,47,58,61,80,87,96,102,105,110,123,130,132,152,160,164,189,191,197,205,226,229,249,252,277,282,292,301,304,319,321,347,363,385,392,396,401,403,405,406,410,416,429,433,435,449,452,459,462,473,489,496,505,511,516,525,534,543,548,557,559,565,581,583,591,601,615,626,633,650,657,674,678,687,692,699,706,709,724,730,732,741,742,755,769,779,789,796,842,847,856,859,877,878,879,887,892,916,918,950,960,967,999], % 417
[12,24,27,28,29,51,76,86,88,97,100,103,107,109,119,132,136,139,193,199,207,216,227,231,247,250,258,263,264,271,290,295,301,335,337,354,361,363,375,378,391,395,405,411,420,422,432,450,451,454,458,467,477,498,519,523,527,543,546,568,575,583,587,594,599,620,622,632,644,655,667,670,673,676,677,685,686,726,728,734,735,742,771,774,775,779,795,807,811,814,817,824,827,840,842,846,861,864,866,879,884,885,893,907,929,932,947,967,990,993,1000], % 418
[17,25,32,47,48,77,93,95,99,109,124,148,152,180,230,233,242,249,265,280,290,307,309,312,327,328,339,351,356,378,385,387,393,395,399,404,416,422,423,433,439,443,462,463,468,495,503,505,514,545,548,555,566,571,582,583,584,595,611,631,643,694,755,756,767,780,783,791,814,835,838,840,860,867,869,917,924,928,929,944,952,974,977,983], % 419
[11,14,28,31,35,53,54,66,67,86,90,94,97,98,109,114,115,125,140,183,188,205,208,211,213,219,226,235,238,257,271,278,280,287,299,305,331,334,348,349,362,363,381,384,387,392,411,433,434,438,460,470,480,481,485,500,503,509,549,551,567,571,596,610,615,621,637,658,668,678,690,693,697,705,706,709,714,729,741,756,759,777,790,794,814,842,846,853,854,855,868,891,892,898,903,906,912,921,931,936,938,945,961,964,970,999], % 420
[1,7,10,16,21,22,31,54,80,83,90,108,118,122,128,136,140,144,154,155,165,180,181,182,188,191,208,243,252,265,274,276,285,292,314,319,321,339,344,347,364,367,378,384,388,389,394,396,398,401,403,404,415,436,439,447,450,451,454,459,483,485,504,523,526,542,556,560,561,579,587,601,611,620,628,633,634,652,657,688,706,710,713,723,724,732,735,757,777,783,786,799,815,821,834,844,845,846,851,852,875,899,900,906,911,928,939,940,959,977,979,989,990,991], % 421
[4,16,38,43,56,74,85,94,149,161,165,184,185,200,214,217,220,230,245,252,262,267,273,284,303,315,317,320,326,333,334,340,346,377,378,383,385,411,418,421,461,462,463,470,481,512,526,528,566,572,597,615,642,653,671,679,690,695,699,731,753,756,763,771,782,785,809,819,831,838,841,851,856,859,867,901,928,931,939,942,962,967,969,972,987], % 422
[26,28,31,41,46,49,51,55,61,63,74,85,87,89,94,96,97,147,160,174,194,208,220,233,240,272,273,282,283,299,308,310,314,321,351,368,373,382,394,402,415,416,429,431,433,443,456,481,491,506,518,546,577,599,604,636,640,645,650,664,692,703,709,711,717,730,733,754,756,761,777,783,786,795,798,821,833,844,848,851,859,863,865,866,892,895,899,904,905,910,940,946,947,950,957,972,981,982,996], % 423
[12,16,33,34,50,51,71,101,106,114,139,157,197,210,215,225,233,236,249,261,297,299,301,307,308,311,314,315,318,345,376,377,384,388,395,404,421,423,429,446,452,497,502,518,532,542,557,559,573,580,608,609,610,615,619,620,626,640,668,672,677,680,681,703,710,727,737,738,745,757,812,813,840,859,900,924,942,947,949,952,957,964,969,975], % 424
[1,37,41,73,84,99,112,140,146,153,179,199,202,212,221,236,251,273,281,282,289,293,317,320,362,366,388,401,423,429,430,431,438,439,451,474,488,495,507,513,518,523,526,534,541,556,559,562,577,582,587,592,593,599,613,615,630,631,641,660,672,686,691,697,701,706,728,731,743,749,776,780,789,792,804,805,821,826,851,856,862,863,869,883,885,896,900,904,925,926,933,961,972,973,976,981,987], % 425
[21,34,41,44,49,54,59,66,70,72,74,77,80,100,105,114,127,164,200,207,212,220,231,246,263,271,273,274,283,299,305,306,316,318,331,362,368,369,376,393,394,402,407,410,413,427,440,448,450,470,475,476,490,496,497,499,502,534,542,554,562,577,578,582,589,610,632,636,643,646,648,657,662,663,670,693,694,711,713,720,722,729,735,744,746,755,764,766,782,793,814,819,823,833,849,863,871,884,885,899,902,937,939,949,953,966,992,994,996], % 426
[31,37,39,44,46,62,64,70,88,92,95,98,99,108,139,144,145,153,160,167,192,195,197,202,228,232,245,246,247,269,282,283,290,305,310,320,362,368,373,376,381,388,399,433,498,507,512,513,522,523,530,532,544,556,562,563,574,575,576,588,607,617,629,631,641,658,661,662,680,688,691,704,710,716,722,725,732,743,745,753,760,770,774,785,787,792,794,797,799,835,850,857,881,891,893,896,909,916,920,926,930,941,943,944,945,948,952,967,968,973], % 427
[10,12,16,22,23,27,35,50,58,59,66,67,73,83,100,110,111,126,129,141,162,183,192,210,213,216,231,240,243,246,259,271,273,276,277,297,299,311,321,337,344,356,375,377,382,392,399,408,411,446,466,525,545,548,558,567,578,579,619,627,630,633,636,638,653,658,659,672,689,710,719,752,757,761,764,787,806,825,826,832,836,849,851,876,886,889,894,899,900,903,904,905,924,932,937,968,972,973], % 428
[1,14,32,33,74,84,89,96,102,114,115,129,131,140,148,149,155,207,210,216,226,235,237,252,254,255,276,277,290,297,305,322,324,331,332,341,351,364,373,385,387,403,407,419,446,464,482,489,499,502,507,541,542,598,599,620,629,630,636,642,643,648,654,658,683,709,721,755,759,760,762,795,798,815,829,833,839,841,843,851,855,858,865,868,874,880,882,897,906,910,911,914,926,927,942,965,985,986,989], % 429
[21,44,55,59,67,77,84,96,101,120,131,134,137,144,154,156,159,160,161,170,182,185,186,192,195,202,214,222,237,272,283,285,298,306,308,309,346,349,350,355,362,366,382,393,415,422,438,443,450,458,494,500,505,537,545,552,587,588,612,618,620,642,653,656,670,684,696,702,733,734,741,746,775,781,792,795,806,819,820,821,839,843,847,871,874,882,890,892,907,932,944,962,992,997], % 430
[2,10,26,37,40,42,49,63,78,87,92,99,109,115,126,128,129,136,151,170,175,184,202,218,224,241,245,267,276,284,298,305,308,309,345,362,375,383,389,391,396,400,408,411,414,427,454,469,481,485,500,515,526,528,549,553,555,559,581,583,585,594,600,625,626,630,635,654,672,675,703,704,707,712,715,720,758,759,787,793,800,805,808,809,813,814,817,819,828,831,833,835,838,847,852,854,855,861,874,906,908,909,912,923,929,939,950,951,973,979,981], % 431
[7,9,41,45,52,71,88,90,101,107,111,124,146,152,158,164,172,187,188,202,204,207,211,222,247,263,265,281,299,302,310,374,381,392,405,407,411,433,463,477,480,493,501,547,557,572,579,591,608,611,617,624,625,630,641,659,669,675,691,694,695,696,703,704,706,717,720,727,730,755,777,779,787,796,812,816,830,863,868,871,880,884,889,895,900,901,918,927,955,960,974,982,988], % 432
[2,3,20,24,44,50,65,80,87,97,103,104,127,130,136,147,161,177,186,190,203,222,225,228,235,246,270,279,286,290,313,318,325,367,371,375,377,383,385,386,400,407,426,440,444,449,452,454,462,473,484,490,516,517,531,535,538,562,568,569,571,596,626,644,663,669,671,679,680,682,709,720,764,770,773,788,791,796,804,813,819,827,831,845,846,872,881,899,915,917,936,949,960,969,973,974,986,990,998,999], % 433
[26,47,52,60,63,69,85,89,96,105,123,129,145,148,164,171,178,183,186,192,222,231,233,244,250,306,317,321,342,350,353,359,364,385,407,437,453,474,487,499,503,512,530,551,563,567,577,594,596,614,618,625,632,634,651,661,671,685,687,698,704,721,723,736,748,759,762,765,774,779,788,800,805,816,829,835,852,875,898,915,929,960,984,986,998], % 434
[8,22,25,46,51,60,65,89,110,112,115,117,121,127,132,150,161,183,184,188,207,215,227,236,238,240,264,265,271,274,277,279,295,298,330,366,369,385,394,396,410,443,456,465,480,498,500,502,513,520,532,564,567,593,602,605,606,615,623,649,657,672,679,692,704,724,726,758,759,776,780,781,794,808,839,848,854,868,893,894,899,907,916,934,935,943,945,952,959,963,976,982,984,993], % 435
[7,43,48,73,80,85,90,130,133,150,197,200,203,227,233,234,253,262,275,290,305,310,322,359,366,387,390,399,404,411,420,422,440,444,447,452,486,500,501,521,530,535,544,555,575,596,601,611,613,617,619,646,647,659,660,662,680,688,693,695,701,708,717,751,761,794,801,861,873,880,882,897,924,947,992], % 436
[1,3,6,15,44,54,55,56,60,69,77,81,85,90,94,99,100,109,119,120,130,131,138,145,149,155,156,175,188,190,210,213,238,246,254,255,264,288,290,293,300,307,312,315,348,353,363,364,385,397,403,416,422,423,439,447,448,481,485,487,503,515,518,520,522,525,539,541,551,557,564,565,568,581,583,591,600,609,634,667,682,687,692,704,713,726,732,735,762,770,774,795,806,818,822,828,831,836,837,845,871,880,881,887,888,895,918,935,951,954,960,962,993,998], % 437
[4,24,28,36,44,45,48,58,83,85,92,96,122,149,165,173,184,192,223,228,243,249,259,267,271,283,296,312,319,336,342,343,352,354,357,361,371,374,379,386,399,401,413,433,435,462,467,482,491,499,503,521,522,536,557,569,587,589,592,609,624,631,645,648,674,683,686,697,707,722,724,725,779,786,787,788,793,802,806,829,835,846,848,850,862,863,867,871,881,886,916,919,928,936,939,951,959,973,976,977,979,997], % 438
[13,14,18,20,32,37,50,51,57,65,87,88,103,112,147,160,182,191,196,199,207,209,215,235,256,272,297,316,343,362,366,369,371,401,410,413,460,463,468,476,477,486,492,498,503,505,519,528,535,537,541,567,583,584,593,595,605,608,624,628,638,651,661,692,702,711,712,714,719,727,733,736,749,768,769,771,792,795,810,813,816,832,847,849,865,875,891,900,931,940,944,964,967,969,973,977,978,988,993], % 439
[11,27,29,40,44,65,67,70,91,106,122,123,129,133,134,138,149,175,177,193,199,217,226,246,247,251,255,260,268,275,280,283,290,312,316,317,326,337,348,358,367,373,387,433,443,444,446,450,451,456,457,462,469,480,487,491,498,513,514,518,525,528,538,603,617,624,637,650,685,696,699,704,725,740,756,768,776,789,793,817,826,829,838,853,859,870,874,897,901,912,913,915,922,937,940,942,968,998], % 440
[28,31,50,51,66,70,74,77,79,90,91,115,126,134,152,153,158,175,179,183,190,196,199,204,206,215,225,235,254,260,262,272,274,299,301,305,318,324,329,337,338,341,362,374,375,383,388,396,400,426,428,433,437,439,442,466,467,470,519,532,533,541,565,568,571,573,575,578,580,603,606,617,621,624,642,655,657,660,674,676,681,688,689,696,697,701,703,707,716,722,723,724,733,745,746,771,778,779,791,794,806,812,817,825,831,836,842,852,866,876,877,890,894,912,919,930,940,946,958,966,974,975,979,986], % 441
[16,28,50,86,99,126,128,136,148,158,170,178,185,190,191,206,211,215,223,240,259,260,263,291,293,301,303,322,332,341,343,355,356,429,432,437,448,456,472,475,478,484,487,498,507,511,512,521,528,565,567,586,608,616,621,623,628,635,698,706,707,711,712,714,721,724,727,730,731,750,764,790,794,798,800,803,811,815,839,840,848,888,890,910,916,933,940,950,953,962,983,984], % 442
[6,10,12,26,27,30,34,51,54,63,78,79,101,106,113,117,126,128,133,139,141,148,175,177,183,184,197,206,214,221,225,229,245,270,283,286,291,308,332,337,346,348,368,410,413,425,428,437,439,455,463,470,476,477,485,488,489,497,504,511,520,527,528,529,540,552,553,575,598,612,624,635,638,663,692,693,717,718,721,725,728,736,740,747,756,765,774,798,800,812,815,824,845,851,854,877,883,884,887,891,903,914,918,919,923,925,927,929,935,966,980,995,998], % 443
[26,28,35,38,40,42,45,49,51,59,60,89,90,105,112,135,147,165,208,230,234,237,251,269,275,282,295,297,317,322,328,350,354,377,381,402,415,417,429,456,479,499,506,516,520,527,532,541,552,570,584,585,598,618,630,660,669,694,705,706,722,734,742,744,759,763,764,768,783,785,788,813,817,818,824,832,835,840,866,869,883,908,939,943,944,963,981,984,996], % 444
[4,9,10,18,35,37,38,50,54,57,61,74,76,89,102,117,121,128,138,181,186,253,255,257,267,274,285,294,295,317,325,326,379,396,399,401,406,423,434,459,492,496,506,507,511,512,518,530,538,542,544,558,570,571,574,575,578,580,584,587,589,599,602,616,623,624,631,636,637,640,651,654,669,685,708,722,725,731,733,737,740,747,776,780,785,794,795,797,811,817,820,827,828,829,871,876,877,895,900,901,908,910,911,912,931,956,958,960,967,995], % 445
[15,18,20,34,37,60,64,77,79,82,108,111,119,125,127,130,135,141,174,199,211,214,228,234,237,244,247,262,263,270,294,319,325,329,332,335,336,341,361,367,375,388,390,391,404,407,437,445,449,459,473,476,482,495,506,537,548,551,600,606,612,623,625,634,655,667,670,676,679,687,692,700,706,708,718,720,721,734,739,745,747,748,803,835,844,846,885,892,933,940,946,950,958,961,965,973,982,994,1000], % 446
[13,22,39,40,41,53,54,71,90,96,101,119,132,148,150,159,175,188,201,204,205,215,225,248,249,252,261,267,278,290,291,296,297,312,318,329,346,356,357,362,372,375,397,398,404,436,440,457,460,473,475,478,491,493,518,522,532,533,547,549,564,607,609,611,617,643,647,649,664,668,698,714,722,729,740,750,757,759,762,784,786,789,806,807,808,842,847,859,866,870,872,880,882,886,909,919,925,938,949,961,990,992], % 447
[13,26,33,46,75,76,80,82,86,103,125,141,143,149,161,166,171,190,219,230,251,259,279,285,320,325,339,343,359,374,377,396,407,408,416,430,452,454,477,489,498,503,522,535,536,546,550,568,582,622,631,640,642,652,663,675,679,683,689,714,715,723,746,747,753,772,774,778,790,803,810,828,830,834,869,891,904,908,919,927,932,945,947,952,955,959,965,972,976,987], % 448
[13,24,39,40,43,45,63,68,72,83,90,92,99,115,131,133,135,143,148,159,191,206,234,241,244,253,271,276,280,289,307,308,329,330,334,338,344,352,362,381,405,407,410,411,416,427,435,443,444,502,512,519,554,557,600,611,622,625,656,666,668,684,698,719,743,756,785,796,798,800,807,821,825,827,835,836,856,865,891,892,894,896,904,925,934,935,939,945,953,961,974], % 449
[7,14,16,49,63,64,72,94,101,129,134,150,168,195,197,247,248,259,280,286,291,300,307,309,319,323,370,380,395,397,398,403,421,431,444,445,457,472,477,494,505,512,521,525,534,541,555,565,567,575,578,600,601,603,620,624,629,630,632,634,665,667,677,687,691,702,708,716,723,742,773,778,787,800,807,812,823,833,838,841,871,920,929,948,950,964,969,994,1000], % 450
[1,24,28,33,54,55,59,68,70,77,83,87,98,102,104,120,121,133,149,150,154,157,158,163,167,169,186,192,223,236,287,288,293,297,300,305,307,308,310,323,326,329,339,348,365,366,387,397,416,421,454,469,483,488,490,503,524,525,530,541,561,573,577,587,600,605,606,619,625,627,631,648,655,669,674,675,676,704,707,711,717,727,728,746,759,771,784,788,796,805,810,818,828,835,836,850,872,901,907,913,925,933,960,962,991], % 451
[10,11,13,16,27,30,33,38,48,68,71,82,96,104,127,134,139,143,160,168,170,191,192,199,206,217,234,255,263,280,281,282,284,294,296,313,315,335,336,338,353,356,365,370,371,379,386,394,410,450,470,478,484,506,521,528,539,545,554,556,559,594,597,609,615,646,660,672,698,724,732,756,768,784,793,795,797,811,852,858,859,871,874,875,893,900,931,945,949,951,968,980,989], % 452
[13,17,19,20,38,42,44,45,50,59,82,84,91,111,114,119,124,128,134,145,149,151,156,157,165,179,193,203,222,235,263,269,274,282,303,323,325,335,339,347,385,389,406,409,411,413,417,468,471,479,486,487,506,509,519,523,525,542,555,560,562,567,568,572,606,621,627,632,648,650,672,685,703,728,783,795,800,814,845,850,865,878,901,911,914,923,924,939,940,952,954,955,960,962,969,971], % 453
[2,8,22,42,63,101,108,112,117,137,141,151,171,179,182,189,190,200,203,206,209,215,220,232,233,251,259,274,282,301,309,313,349,351,355,389,394,426,431,440,442,448,471,493,499,510,515,523,527,542,543,558,569,570,575,576,583,587,603,612,615,638,649,657,658,670,679,683,684,689,691,726,729,739,745,764,765,782,805,823,832,846,847,854,863,888,894,897,904,909,923,936,968,972,975,976], % 454
[2,23,27,37,49,51,57,95,107,121,136,147,148,166,179,182,208,231,233,247,249,254,288,304,309,310,327,338,340,353,355,361,373,375,387,396,403,409,423,443,473,491,502,508,511,521,540,548,554,555,557,560,565,573,580,581,603,608,609,617,619,623,624,631,658,676,686,691,693,708,714,716,724,731,739,741,752,760,772,779,789,791,796,799,809,811,825,835,848,858,860,867,868,880,881,882,886,888,932,935,937,945,955,985], % 455
[11,14,20,21,30,52,63,73,82,87,117,133,160,174,197,202,224,232,234,251,286,288,298,320,326,344,352,355,360,361,363,391,435,443,462,463,471,493,501,505,512,514,517,522,546,553,569,582,602,607,616,619,620,628,649,660,670,671,682,685,693,707,710,712,728,730,739,745,786,802,808,810,811,818,820,830,831,847,851,865,879,880,887,898,900,902,908,913,915,918,937,964,969], % 456
[1,14,21,23,35,46,49,63,64,72,73,91,95,126,165,170,173,206,219,224,236,239,251,254,261,262,268,294,304,309,333,338,339,358,361,365,374,375,382,390,394,399,403,407,415,435,437,442,453,455,459,460,475,476,477,478,503,505,518,522,530,531,535,561,569,571,577,583,593,626,641,643,646,651,663,698,702,723,748,749,763,770,773,782,785,805,807,820,829,834,836,849,861,865,866,874,875,885,892,897,907,911,926,932,933,948,951,957,963,974,977,985,1000], % 457
[14,18,19,20,32,35,58,74,77,94,120,135,140,143,150,158,175,176,177,178,181,193,201,211,232,238,244,256,276,287,289,301,307,315,321,373,379,384,391,398,404,407,419,427,439,441,442,446,463,483,492,493,496,500,502,510,519,527,544,555,560,588,594,595,599,620,625,636,652,661,662,664,670,684,688,715,717,720,722,733,738,753,756,763,766,778,798,852,855,859,891,897,903,938,953,954,956,976,981], % 458
[12,20,28,52,53,58,59,77,80,82,106,108,117,140,142,150,161,163,170,175,182,202,213,243,253,295,307,313,317,323,339,342,351,356,367,381,392,400,411,438,439,440,450,458,465,501,509,513,518,544,547,550,565,585,588,589,596,597,600,631,648,653,656,666,679,680,684,694,699,700,702,709,710,736,737,745,746,747,769,783,788,792,799,818,820,821,838,839,842,872,877,880,899,907,914,920,925,931,936,943,964,970,973,994], % 459
[13,17,38,64,66,86,112,123,126,133,157,161,162,174,188,208,215,228,237,238,239,256,262,270,286,306,316,337,355,377,395,398,401,405,425,438,442,443,478,489,495,501,510,527,548,565,569,571,573,578,579,587,611,629,631,638,647,664,678,681,691,699,723,741,751,759,779,787,838,840,865,876,882,885,891,907,922,926,939,943,946,953,959,964,977,983,991,996], % 460
[2,6,11,27,28,34,40,46,67,71,73,77,89,96,102,105,107,112,123,126,135,141,149,183,206,209,210,217,231,237,265,272,294,306,321,322,328,346,363,364,396,402,404,435,442,460,463,468,476,485,508,521,525,533,541,545,555,567,585,588,590,604,606,616,620,625,635,645,663,669,674,679,681,690,692,714,734,739,740,767,776,781,785,798,799,813,819,832,833,841,850,851,869,871,895,912,920,931,939,957,963,966,974], % 461
[6,11,34,40,45,49,66,85,86,89,107,128,135,150,151,152,175,185,188,205,206,209,216,223,226,267,268,288,294,310,325,327,328,333,343,345,371,373,376,383,402,452,463,466,471,477,503,510,513,539,545,549,551,554,561,562,568,579,597,628,636,648,684,691,702,728,729,738,747,758,759,772,786,787,805,810,813,823,839,847,861,863,867,875,910,920,951,958,963,1000], % 462
[18,29,34,41,42,67,89,141,142,150,152,161,174,191,196,210,219,220,223,232,244,257,273,274,286,336,345,354,357,358,359,362,365,380,391,413,415,450,469,473,487,519,534,538,549,573,583,588,589,608,613,634,637,639,642,644,656,663,708,719,742,744,760,768,774,778,784,791,792,801,802,804,807,844,845,854,858,864,874,883,893,909,915,933,940,963,966], % 463
[7,29,40,42,52,56,68,73,77,91,105,109,113,118,119,122,127,135,137,162,166,176,190,196,197,212,216,224,252,257,258,266,274,294,345,357,385,396,397,403,419,433,439,455,458,461,463,531,542,549,558,566,577,581,594,604,616,618,619,642,661,706,720,721,728,729,731,762,795,800,802,817,821,848,863,885,889,902,905,910,913,923,927,945,947,978,983,994], % 464
[7,10,20,22,30,32,43,49,60,70,71,75,78,92,96,97,99,101,109,113,114,115,116,137,140,144,150,157,177,181,186,200,210,211,213,218,229,244,247,271,275,286,330,338,341,350,367,373,374,382,395,396,407,409,431,438,439,440,445,447,469,489,495,497,503,505,507,513,529,544,566,576,577,587,594,596,604,613,647,665,672,676,684,697,701,707,714,719,736,745,753,772,774,777,787,793,804,829,842,847,850,854,873,886,894,895,900,908,919,943,949,984,999], % 465
[1,3,17,20,28,29,33,51,54,64,68,72,84,94,95,103,108,124,132,156,175,199,204,206,231,257,267,271,277,295,296,323,326,333,346,353,367,374,393,401,406,407,416,419,420,422,434,445,449,460,465,467,474,475,491,494,499,501,520,522,530,535,548,560,561,586,598,604,605,612,614,619,622,630,637,643,644,650,662,680,695,744,746,748,761,770,773,774,790,792,794,797,801,805,812,838,840,846,847,869,875,877,894,902,904,933,946,950,958,980,981,982], % 466
[17,35,38,48,52,67,73,76,82,85,88,89,93,102,108,117,119,135,153,154,156,161,203,239,262,270,277,287,291,292,295,300,307,321,325,346,356,373,374,378,390,395,404,421,422,423,459,461,469,475,477,511,527,536,549,563,579,582,583,586,587,597,603,610,634,639,651,674,691,696,712,717,724,725,738,762,765,773,784,799,805,836,840,852,855,878,887,898,902,908,911,917,926,933,934,945,953], % 467
[2,5,9,10,43,60,63,72,90,102,105,111,119,121,134,136,144,146,151,157,161,170,176,179,196,198,217,220,229,235,245,257,263,271,279,281,283,301,315,317,326,333,336,338,347,354,360,361,386,421,428,452,458,463,464,467,469,501,506,508,509,527,530,534,535,564,566,567,574,583,613,617,631,653,663,670,685,732,748,761,771,800,825,868,881,920,926,930,944,952,961,964,969,972,974,981,992], % 468
[8,19,22,40,41,64,66,72,78,90,98,116,117,125,163,165,181,194,234,236,249,250,256,268,304,308,314,325,330,332,349,354,365,383,393,397,406,409,428,432,453,455,476,480,505,546,549,561,562,586,592,603,606,616,620,638,664,670,688,690,699,723,730,741,759,774,781,785,790,793,799,800,804,818,861,871,877,879,914,918,921,927,932,934,936,937,971], % 469
[8,19,32,46,48,62,67,69,75,85,100,107,112,121,122,129,137,140,154,159,171,181,197,207,230,236,241,246,255,258,259,260,261,270,281,285,291,296,310,319,366,374,380,388,400,413,441,456,457,484,488,499,510,522,525,543,569,579,596,616,631,632,633,640,644,646,648,657,658,668,700,703,730,731,732,753,760,779,780,782,802,809,816,818,823,824,844,857,860,865,877,888,893,896,897,909,920,923,927,950,952,959,960,966,991,992,993,999], % 470
[2,16,20,25,28,35,48,65,75,80,81,82,91,106,112,124,129,132,139,149,160,165,169,196,201,212,224,227,251,266,274,282,306,308,311,316,318,399,442,467,476,477,498,512,521,532,533,540,542,547,552,558,595,608,620,624,626,633,635,637,657,658,678,701,705,723,726,732,738,745,747,751,755,766,782,783,784,792,804,806,808,815,821,825,841,844,846,852,887,895,899,908,929,931,937,947,952,960,962,964,968,980,981,985,996], % 471
[3,7,9,20,23,49,76,91,106,115,121,125,143,169,174,179,181,182,189,200,210,218,231,233,239,261,265,266,274,276,322,324,336,352,369,378,387,412,420,422,432,435,446,447,449,450,462,471,476,485,504,509,526,529,532,533,580,605,615,618,642,643,645,654,655,660,663,733,765,768,769,771,778,806,829,854,856,857,863,867,875,877,880,897,935,937,947,956,957,960,994,995,997], % 472
[9,30,39,41,50,61,66,67,68,70,116,122,126,130,139,148,193,200,211,233,251,256,274,285,294,295,310,312,325,326,331,353,358,361,373,381,388,399,418,422,424,458,468,469,490,494,500,502,524,525,548,561,570,571,574,581,593,626,629,643,670,688,692,693,698,708,713,735,748,752,757,778,797,802,803,807,824,837,845,850,853,859,867,875,894,909,943,957,960,961,968,978,980,996,1000], % 473
[3,13,21,23,24,30,58,83,97,109,113,136,142,162,168,174,187,212,231,233,287,292,293,295,306,330,357,368,380,385,395,397,441,461,494,498,502,529,536,542,586,602,608,636,648,652,657,666,667,675,681,686,687,688,691,702,708,719,720,727,733,741,752,763,777,779,781,783,785,789,790,799,800,820,822,823,840,851,862,863,885,893,904,949,956,957,960,974,976], % 474
[5,10,18,19,37,50,58,70,78,97,104,105,109,122,128,130,155,169,170,179,192,193,203,205,207,212,216,236,246,279,327,336,337,339,340,350,384,397,405,414,421,447,470,487,494,500,504,515,523,524,533,555,579,580,584,592,606,610,617,622,629,692,706,713,723,728,775,804,844,852,868,870,871,905,908,915,925,939,945,955,957,961,966,980,982,994,999], % 475
[2,12,22,24,32,56,59,61,83,103,116,134,142,167,213,214,247,264,280,298,301,311,312,313,317,318,321,322,325,326,363,397,419,442,474,495,536,538,541,564,574,589,597,598,606,608,633,635,644,657,671,689,696,702,704,716,732,741,748,768,774,793,799,802,808,815,827,832,844,852,861,863,873,877,883,887,889,896,899,916,938,943,949,952,956,967,971,980,981,997,1000], % 476
[36,37,41,60,67,70,79,86,97,128,131,143,144,166,177,186,190,203,208,211,216,228,235,237,251,260,261,293,295,301,304,306,327,336,355,374,381,404,421,428,434,443,453,464,478,480,495,521,522,524,529,547,570,578,583,631,653,668,677,692,695,701,704,706,709,722,726,735,741,752,759,773,776,782,800,801,825,826,848,862,882,883,894,922,935,936,943,952,964,984,989], % 477
[24,26,34,40,53,55,60,73,97,132,135,157,161,169,177,212,249,251,257,261,264,268,271,279,280,281,285,289,293,297,314,326,331,340,344,369,378,383,411,413,415,417,433,436,438,450,455,477,479,509,512,519,520,523,550,552,563,564,570,586,599,602,622,624,636,645,654,660,689,695,697,701,707,708,709,715,720,744,747,753,766,774,778,785,794,796,808,813,814,817,825,826,833,837,855,857,858,885,886,906,914,923,926,939,946,952,962,973,977,978,992], % 478
[5,11,13,31,35,44,48,55,67,73,85,86,92,98,109,135,138,148,159,183,190,191,212,250,253,257,272,283,288,297,311,314,320,322,333,334,337,338,342,360,362,363,368,369,386,390,395,397,398,406,411,417,437,441,447,450,460,468,472,475,484,490,510,521,531,537,538,556,572,579,586,649,650,665,673,684,687,696,701,708,715,717,719,731,746,756,757,760,762,767,768,772,799,822,833,851,858,878,881,912,916,925,942,957,965,975,990], % 479
[2,15,20,22,36,38,45,64,86,88,102,115,120,124,127,130,136,153,154,155,163,167,174,199,222,228,245,246,247,262,263,287,303,313,315,317,321,341,357,382,383,414,422,436,437,441,445,457,483,494,499,502,504,518,534,558,560,563,581,584,590,600,601,604,607,622,638,643,645,646,647,653,666,668,669,677,679,727,735,740,758,768,772,773,783,786,791,794,802,803,817,836,855,858,866,876,879,901,912,919,928,929,931,943,947,957,959,961,996], % 480
[11,17,19,25,29,33,38,57,67,77,79,83,130,138,140,144,146,171,179,188,199,213,224,228,239,277,314,318,319,321,323,328,336,337,339,340,343,363,365,370,377,384,393,413,426,427,428,431,441,475,476,490,498,509,548,555,567,570,589,617,621,642,651,653,657,664,691,694,695,699,718,740,755,774,779,786,788,795,798,803,811,829,839,874,880,883,887,897,905,909,971,985,987,991], % 481
[5,6,22,46,49,73,89,105,113,114,119,133,156,171,177,185,192,199,202,206,209,245,246,256,275,297,301,302,306,311,314,329,338,357,373,398,401,404,435,446,505,535,537,562,563,577,580,589,593,594,597,614,626,629,641,646,663,672,673,684,685,690,698,701,720,728,731,732,746,762,764,771,787,816,828,829,842,851,855,865,868,902,915,917,930,935,948,958,959,963,971,991,992,993], % 482
[2,7,13,16,36,40,52,59,61,63,64,75,81,97,99,104,113,123,132,133,140,166,169,174,178,181,188,201,209,212,237,238,242,256,271,294,332,349,360,363,368,375,386,400,414,418,424,436,437,458,462,477,511,512,513,515,522,523,524,528,529,530,543,544,556,568,584,611,613,622,632,634,654,669,681,705,709,722,724,725,739,743,745,752,760,762,763,765,771,772,773,776,777,781,794,809,817,826,837,846,851,852,864,869,875,878,913,919,923,926,929,942,946,961,973,979,990], % 483
[1,18,20,21,46,55,56,59,80,86,90,92,106,128,151,152,157,158,162,170,182,183,191,204,205,217,249,258,265,304,307,318,334,335,336,354,372,386,407,430,449,457,469,475,500,523,554,576,594,599,624,628,634,658,669,671,673,684,692,697,714,715,722,723,737,746,755,756,762,782,783,786,816,833,837,840,849,857,863,875,878,894,926,928,938,939,947,950,956,957,958,974,975,980,992,995,996], % 484
[9,21,26,32,47,62,71,73,80,88,95,101,111,114,118,126,127,152,154,166,174,181,196,206,226,228,251,257,266,273,275,276,278,288,294,303,310,318,321,329,350,353,403,405,406,442,456,458,468,488,490,504,505,508,509,519,532,538,539,573,594,600,610,626,633,659,676,680,682,687,696,701,707,716,721,731,733,737,742,764,765,775,791,800,803,804,809,830,831,863,864,893,899,915,923,925,932,935,963], % 485
[1,27,30,37,42,52,64,73,82,83,86,107,159,162,167,171,189,192,193,202,211,213,252,254,255,260,293,296,298,299,323,325,327,343,349,350,370,383,394,403,412,428,430,432,434,438,482,493,497,509,520,522,525,555,572,574,577,599,603,622,627,631,641,642,653,654,656,659,663,673,687,729,735,743,752,754,763,768,778,779,786,789,813,820,828,830,833,846,855,863,882,886,894,896,907,918,919,921,928,943,961,986,999], % 486
[11,21,22,29,57,64,68,70,85,97,100,103,105,107,109,113,116,117,121,122,134,142,144,149,151,152,155,160,180,182,183,184,190,200,240,251,257,270,284,302,305,308,313,317,328,346,374,375,382,395,411,422,429,432,440,467,472,483,490,491,494,496,498,504,505,508,509,517,520,530,531,539,555,592,601,615,622,625,631,635,651,672,673,675,677,679,684,687,689,692,693,722,745,754,755,759,762,817,823,844,854,859,864,873,875,891,893,898,917,920,931,934,935,943,968,975], % 487
[1,4,6,7,8,12,16,23,33,53,57,58,61,69,81,118,130,140,142,146,176,179,182,190,204,221,240,252,260,266,274,275,282,333,336,343,345,370,382,386,389,399,428,432,433,440,459,460,468,483,484,487,489,492,494,496,522,535,539,549,568,575,577,583,585,617,618,621,629,646,658,663,670,674,678,679,719,726,727,733,735,737,744,745,748,752,768,772,774,780,787,794,815,818,823,825,827,832,851,861,865,866,867,872,873,881,885,893,902,903,910,928,931,957,963,970,980,995,998], % 488
[8,18,41,50,55,65,68,74,78,109,118,135,157,167,175,189,208,227,229,230,231,237,239,240,241,253,255,264,266,277,284,292,310,318,351,366,371,382,385,391,417,419,452,456,457,464,480,481,505,547,549,552,553,558,559,561,585,593,623,625,659,676,680,689,698,704,712,716,717,729,741,742,747,757,791,794,814,818,828,843,844,874,912,919,935,946,977,999], % 489
[6,11,16,20,24,29,39,40,44,59,75,96,121,127,144,162,179,184,197,204,213,232,248,276,277,278,280,285,290,306,317,336,339,346,348,353,355,369,375,384,388,390,396,397,415,428,432,441,456,460,478,480,500,516,524,533,549,552,566,584,588,599,606,617,621,626,659,663,679,685,711,722,725,733,735,744,746,772,774,791,810,817,828,851,853,857,860,863,871,873,889,890,898,901,907,908,923,928,929,942,944,952,958,961,964,972,974,990,992,999], % 490
[3,4,12,17,36,38,49,87,100,101,117,135,143,163,184,202,226,229,235,239,269,274,276,286,322,343,348,358,381,383,385,410,414,422,424,425,456,481,488,527,541,544,558,570,579,592,594,628,630,654,657,659,666,668,675,679,680,682,691,692,707,709,715,719,728,730,732,735,751,753,758,762,764,766,778,797,804,816,873,876,880,882,886,888,896,923,924,927,929,952,957,974,981,995], % 491
[12,13,23,30,70,80,160,164,197,200,215,217,222,243,250,262,269,278,282,290,301,305,330,331,365,376,381,383,390,394,413,422,429,435,456,457,463,464,466,473,476,530,533,536,537,538,540,546,549,552,554,578,592,599,602,604,623,641,660,661,671,684,692,696,711,712,724,727,741,760,765,772,777,781,817,820,826,827,846,853,878,884,896,919,924,932,949,958,963,966,970,981,992], % 492
[24,27,31,35,37,46,61,63,64,65,67,95,102,103,104,105,124,129,130,143,146,175,181,204,229,239,245,249,252,253,278,288,290,292,293,299,310,328,332,337,342,351,353,356,361,371,377,387,393,394,398,399,400,402,406,408,416,432,446,457,472,515,522,524,544,553,556,560,593,604,606,611,641,659,666,671,672,674,676,678,684,693,694,705,724,729,733,762,767,773,777,786,800,806,818,831,853,854,857,868,876,879,883,901,907,908,923,924,938,939,950,979,983,987], % 493
[24,35,38,50,53,58,73,74,107,113,115,119,125,132,137,142,145,156,161,185,208,215,228,229,239,249,282,283,287,294,297,304,310,319,328,331,340,345,367,369,389,392,431,437,447,456,463,480,497,498,512,519,549,566,591,595,622,640,641,644,651,653,667,690,691,715,720,725,735,746,752,753,768,785,790,795,804,807,821,827,828,831,844,853,864,872,873,878,885,887,900,925,931,934,947,962,974,987,996], % 494
[9,20,24,43,45,62,67,94,98,134,146,177,190,206,210,212,220,266,271,278,281,288,297,301,311,312,332,351,352,372,390,395,408,409,424,428,432,446,472,494,529,535,541,543,557,573,574,584,598,601,624,632,650,651,656,660,705,713,738,740,744,749,775,776,792,818,832,836,862,870,878,883,912,928,936,937,959,970,978,979,981,994], % 495
[11,13,14,19,22,29,50,57,58,69,70,76,84,93,98,107,109,148,150,159,173,182,188,190,206,216,237,252,263,266,267,273,279,290,312,319,325,337,340,347,367,390,414,421,429,448,449,458,465,468,470,497,507,517,522,529,536,544,553,579,597,602,606,611,623,624,627,641,643,653,656,658,660,663,679,694,698,720,727,734,735,745,753,755,765,770,777,810,812,819,822,823,833,843,854,878,879,889,895,898,899,909,913,932,956,959,972,974,976,983,997], % 496
[13,20,33,40,41,44,46,51,83,102,106,129,147,165,176,188,197,215,232,243,251,266,284,293,299,303,305,310,312,316,319,322,331,337,339,350,359,361,367,390,402,410,413,422,429,433,447,451,452,465,472,486,503,509,533,534,536,543,553,567,571,588,591,592,594,603,633,637,645,650,655,662,664,678,693,709,715,749,753,760,771,780,781,788,794,799,809,810,813,824,837,838,856,873,878,929,943,954,962,964,965,988,989], % 497
[4,8,10,15,30,50,51,54,55,70,85,93,115,120,123,142,156,163,181,195,197,203,207,222,223,231,237,239,246,248,260,276,285,290,295,301,325,336,340,348,353,354,360,364,365,387,391,401,406,408,431,437,450,458,463,468,474,496,499,504,505,519,520,525,562,567,583,584,589,607,617,619,636,652,662,666,686,687,688,689,694,701,710,719,731,746,754,768,772,783,784,789,791,819,821,824,827,843,851,852,857,860,863,875,883,893,898,903,905,908,917,941,966,989,997], % 498
[13,19,27,29,30,32,42,46,50,52,58,59,60,71,74,86,102,120,131,143,148,153,154,161,165,171,190,201,206,211,218,230,238,263,267,276,301,331,345,354,359,371,374,387,390,391,406,413,416,426,430,436,441,471,492,493,506,507,510,522,530,547,570,587,590,598,601,605,620,632,634,642,657,663,669,683,699,717,721,723,728,738,750,756,761,774,777,783,789,794,796,811,816,831,833,841,849,878,890,918,931,932,943,944,959,965,968,970,973,977,983,992], % 499
[5,38,41,50,52,55,64,66,72,75,82,108,115,125,146,149,154,156,168,178,179,195,196,207,211,216,227,245,262,273,278,290,295,310,316,334,352,353,354,372,379,383,387,389,400,403,410,424,436,439,445,483,486,495,506,513,517,548,579,619,628,632,648,670,674,679,686,703,709,725,733,737,747,762,775,781,789,809,811,817,838,839,854,856,873,897,947,958,960,993,996], % 500
[1,3,11,43,46,69,88,107,137,146,149,155,157,164,188,202,203,224,233,237,270,275,281,282,305,310,316,321,332,364,387,392,405,406,410,421,424,426,429,434,435,437,459,465,466,478,481,488,492,497,500,503,505,507,513,519,527,530,551,562,576,584,604,627,636,648,675,684,721,724,751,756,770,783,786,788,789,792,797,804,812,851,853,858,859,871,896,913,924,930,932,933,940,963,971,994], % 501
[5,10,16,37,41,51,55,76,99,113,114,135,138,143,147,148,150,153,157,163,168,179,192,227,239,240,241,244,260,270,283,290,301,315,325,332,339,350,366,367,384,386,397,416,426,436,437,445,474,478,482,487,488,496,527,536,548,582,592,593,594,615,619,622,626,632,635,646,649,665,683,687,694,698,715,719,732,734,747,751,753,758,761,770,785,799,817,823,824,826,853,855,858,862,873,879,909,921,925,926,934,963,971,982,992,993,1000], % 502
[5,10,19,20,75,83,85,88,92,97,99,103,105,107,120,125,131,141,153,155,160,163,164,171,176,230,263,266,278,291,295,297,300,323,328,340,341,370,380,383,400,418,422,430,436,439,448,473,477,479,480,486,495,508,515,525,536,554,570,571,572,573,588,609,619,624,647,669,675,679,681,710,732,733,762,766,775,787,797,811,816,819,843,869,871,879,883,894,908,910,917,920,936,947,970,976,980,986,993], % 503
[7,10,20,29,47,62,64,85,87,107,113,120,126,146,157,164,165,170,174,206,211,220,229,230,232,247,261,267,276,289,320,321,327,330,333,337,340,353,355,357,360,361,366,379,381,396,440,448,475,481,490,491,495,506,528,529,534,551,557,571,590,592,596,615,619,623,625,627,634,643,644,653,661,666,668,673,674,677,690,698,705,707,713,730,741,744,748,769,773,777,783,802,809,810,821,830,834,854,857,870,884,896,908,911,920,921,922,926,928,950,957,964,970,976,988,994], % 504
[1,17,20,23,27,30,85,88,90,98,100,101,102,112,115,123,147,161,191,208,220,240,246,248,259,264,292,295,298,302,307,314,317,323,340,341,353,354,355,375,380,385,408,425,428,434,436,443,456,467,472,475,482,483,536,541,546,548,554,561,577,582,590,597,621,641,649,656,657,658,665,686,692,701,702,703,707,710,712,725,774,788,790,797,799,807,827,845,851,876,909,915,918,923,937,947,953,957,961,991,995,996,1000], % 505
[3,32,47,49,54,95,109,114,115,140,142,143,146,148,161,162,167,168,176,189,191,196,219,226,248,258,273,274,286,299,303,326,329,331,368,379,382,388,389,394,395,396,403,413,414,418,422,424,434,463,475,495,502,504,505,512,518,524,527,528,546,555,560,565,573,605,623,639,660,670,672,682,689,690,691,695,702,707,708,719,728,745,768,775,777,783,805,813,816,825,827,854,891,901,904,905,928,930,931,987,999], % 506
[33,35,39,47,57,64,72,84,86,93,95,114,119,120,121,124,128,141,143,146,147,151,171,187,202,211,222,234,246,251,257,258,270,278,287,291,301,304,306,307,310,311,329,335,337,383,466,472,474,475,479,482,493,505,511,512,529,538,547,566,575,589,593,609,611,617,619,621,623,628,633,637,677,693,699,704,711,719,742,759,789,795,802,830,845,854,870,888,889,897,903,912,923,925,929,930,933,934,942,944,952,957,977,982,983,990], % 507
[7,10,23,38,46,58,59,70,77,78,80,83,85,127,128,140,149,160,189,192,241,247,269,270,283,294,295,305,315,330,331,340,351,356,359,376,396,409,421,433,440,481,488,493,501,517,530,531,535,543,553,564,572,590,595,596,602,605,613,615,627,632,641,654,669,693,698,708,714,719,727,734,739,758,764,773,779,780,839,854,859,860,885,888,890,893,906,909,918,938,943,951,996], % 508
[8,12,27,38,48,51,66,67,84,92,98,121,129,132,137,151,160,161,166,168,177,188,189,191,193,196,198,205,214,215,220,227,246,258,262,274,281,310,325,330,340,347,349,357,358,373,377,388,419,432,441,448,455,459,461,464,475,478,491,492,498,512,534,540,543,553,554,560,565,570,576,597,612,622,626,630,634,636,648,650,659,675,712,749,766,783,788,791,796,798,826,831,840,844,853,891,913,916,925,933,947,948,968,970,992], % 509
[11,30,35,37,49,50,54,69,78,82,83,114,133,150,163,169,172,178,182,185,228,229,241,267,269,271,287,290,302,307,310,327,336,342,343,350,359,360,401,411,424,425,433,436,447,454,466,495,524,555,557,565,566,582,595,596,597,601,612,615,617,618,621,633,634,662,667,686,696,702,707,713,730,735,743,760,768,769,778,786,792,795,811,812,817,836,856,864,872,874,896,908,934,935,938,946,956,957,978,989,991,994], % 510
[3,11,27,46,50,53,84,90,93,121,126,127,129,130,139,140,160,175,178,185,189,212,239,240,247,266,285,300,323,348,350,362,367,383,392,395,396,402,408,417,426,433,439,443,447,460,461,464,473,482,486,492,496,510,513,536,567,568,570,585,616,625,634,643,653,660,681,690,691,693,700,706,718,726,735,739,742,745,749,764,775,785,805,807,845,858,869,877,880,900,906,913,932,956,970,1000], % 511
[1,7,18,64,75,164,174,181,183,204,210,211,224,228,231,239,242,254,262,272,288,289,307,310,322,328,350,356,360,361,373,384,387,389,397,401,404,409,411,414,429,440,472,474,482,489,490,496,505,516,517,522,549,553,566,570,577,592,625,626,637,639,648,649,653,662,665,683,688,693,709,717,722,724,727,738,759,761,772,784,786,799,802,814,820,824,831,839,840,845,863,868,875,891,893,914,918,927,944,953,964,969,978,983,998], % 512
[23,40,43,58,67,87,89,91,96,106,120,131,144,148,153,157,158,159,167,177,179,184,196,244,249,259,262,264,283,285,293,313,320,321,329,332,333,373,376,380,386,391,398,399,417,433,467,468,473,474,475,477,485,509,533,543,555,561,582,590,594,601,625,627,642,653,658,659,661,665,682,695,714,715,716,720,722,740,741,755,763,773,792,795,813,822,860,894,903,914,931,937,945,958,960,962,964,968,986,988,993], % 513
[1,4,22,25,35,57,58,62,63,77,88,93,117,118,122,139,153,162,164,181,195,208,210,217,223,249,250,259,275,292,293,301,303,308,309,311,321,332,337,339,358,362,370,376,377,387,401,414,417,419,422,456,470,475,486,492,535,546,562,579,601,602,607,609,610,613,624,644,650,663,682,714,743,764,775,779,798,820,824,827,839,842,848,856,860,881,903,904,905,916,932,953,955,973,975,978,990,999], % 514
[15,22,25,34,36,67,75,103,110,118,125,142,145,153,154,159,177,195,215,246,256,269,282,285,293,317,319,334,337,341,349,353,374,378,380,383,387,397,401,432,442,459,471,480,509,523,529,547,554,563,566,582,585,600,604,606,612,615,636,639,657,659,665,668,715,724,732,733,741,750,758,762,767,798,805,816,825,839,840,847,853,858,860,870,877,882,883,891,895,913,937,947,987,990,992], % 515
[2,6,36,43,45,64,75,76,84,92,99,134,139,143,188,223,243,256,258,265,286,293,297,312,339,350,359,368,370,371,388,418,425,427,438,448,479,480,482,483,498,512,517,527,537,538,540,541,559,561,563,568,569,572,573,591,597,618,624,625,637,640,663,665,678,686,695,701,704,712,729,744,745,751,830,848,850,852,859,875,878,885,897,900,911,916,917,932,944,945,962,964,971], % 516
[2,5,8,10,14,47,55,60,61,87,90,92,100,117,119,128,171,186,192,218,230,238,239,240,250,268,269,283,284,296,306,307,308,332,343,355,372,384,389,395,406,443,446,451,461,466,471,472,481,485,498,504,509,524,531,533,536,543,544,559,606,612,628,644,665,666,671,675,679,688,691,705,713,734,739,770,795,800,801,802,814,820,841,865,867,870,873,895,911,912,917,950,952,969,997], % 517
[10,23,46,60,65,100,102,103,127,135,138,139,142,150,187,189,196,197,211,219,235,237,250,263,269,276,284,287,288,293,311,313,318,334,342,359,387,394,401,431,438,445,452,472,473,481,482,494,498,503,512,535,550,593,595,605,610,620,621,626,627,629,638,640,657,665,669,692,697,739,760,764,794,801,802,824,825,837,846,847,859,866,877,889,891,908,910,915,946,958,987], % 518
[9,45,66,94,145,159,176,191,205,206,210,214,221,234,239,240,251,257,277,279,280,291,295,304,318,330,337,352,359,367,375,385,391,401,427,428,459,460,465,466,487,504,507,541,548,564,578,597,599,622,627,634,653,664,666,688,696,703,710,728,730,734,748,759,768,780,788,803,814,816,826,827,836,844,846,854,860,870,879,883,886,893,894,918,922,963,973], % 519
[12,15,16,23,27,49,65,66,77,97,110,120,121,123,138,147,153,177,186,187,223,234,236,240,257,258,268,272,294,295,296,315,320,330,337,342,353,367,374,382,388,427,432,450,462,483,489,491,505,507,519,533,547,555,557,577,588,592,617,621,658,662,700,713,763,765,772,791,796,815,847,860,882,916,921,926,938,949,972,987,996,999], % 520
[30,35,39,43,48,60,78,79,97,98,99,102,125,130,136,148,165,194,216,234,235,244,266,301,309,312,321,327,330,338,353,371,385,388,412,419,425,428,432,437,453,456,464,473,476,484,517,546,555,575,591,592,609,617,623,633,648,654,656,677,681,684,687,693,702,754,766,767,771,775,803,818,834,843,859,862,863,889,901,903,928,931,943,958,964,985,987,992,993], % 521
[4,8,13,26,27,51,53,62,75,83,89,110,130,134,158,159,165,182,186,207,208,220,222,235,236,244,286,289,301,303,304,344,345,351,353,356,360,381,395,398,408,410,421,428,464,468,469,471,472,475,489,523,548,555,582,584,604,608,616,621,634,641,644,648,649,652,663,666,669,678,680,685,686,699,722,749,751,767,775,777,783,791,802,821,828,836,844,848,866,873,880,882,890,895,897,908,926,931,932,946,972,976,978,979,980,984,990], % 522
[7,11,12,42,43,49,66,69,75,77,79,92,99,110,132,135,143,150,197,200,207,215,220,222,230,240,245,262,274,283,296,307,309,311,313,315,331,333,340,341,369,370,386,426,432,437,445,472,476,477,480,486,497,511,528,537,538,548,582,591,607,609,632,673,674,680,684,686,693,726,727,728,730,741,758,763,780,792,812,822,839,844,865,866,892,893,916,925,930,944,963,979,989], % 523
[1,9,12,24,33,53,67,74,77,122,129,139,171,194,200,218,222,233,237,241,270,277,288,308,324,378,414,415,422,425,437,461,479,484,487,495,497,512,549,551,617,618,623,625,626,635,641,654,682,698,708,712,716,749,768,772,777,781,791,808,846,848,852,861,869,872,900,911,925,942,958,959,985,999], % 524
[13,42,51,56,57,69,95,99,112,122,128,129,131,159,173,180,188,190,198,206,209,212,218,251,254,256,266,271,278,289,310,313,315,316,321,323,330,343,364,365,366,375,387,417,425,427,439,446,448,457,498,501,510,513,517,519,520,523,529,546,578,587,606,617,649,651,671,677,720,730,731,733,736,737,742,753,793,796,801,815,829,835,837,843,861,865,886,891,894,904,910,939,943,947,950,951,984,987,989,997,999], % 525
[22,24,29,40,46,48,74,78,106,108,111,124,137,150,153,159,212,218,230,253,254,267,283,290,326,365,366,399,411,417,424,428,434,440,443,454,468,469,470,483,486,488,497,499,500,501,517,519,537,539,542,555,595,604,608,686,696,705,709,711,719,721,740,744,745,753,759,761,769,797,815,819,841,864,865,869,876,880,885,886,887,888,893,895,905,916,917,974,979,983,994], % 526
[9,12,25,26,48,77,81,85,113,124,144,186,202,211,221,222,224,228,241,244,266,279,282,293,344,363,382,389,410,417,443,469,471,485,490,502,512,524,545,555,572,577,580,589,595,610,615,625,628,648,662,666,695,715,724,738,760,762,768,771,775,783,790,800,807,811,826,835,838,857,866,875,883,905,909,921,925,930,934,956,962,986,995], % 527
[1,22,29,37,41,48,54,55,57,98,105,107,109,112,124,128,143,156,169,191,201,202,216,217,226,254,271,282,284,286,294,300,308,311,313,332,343,355,357,390,393,394,409,413,414,415,420,448,476,486,487,497,502,510,516,518,525,530,532,542,550,556,560,575,576,577,601,604,607,618,636,659,675,696,712,719,723,732,735,743,798,800,823,841,844,853,855,886,891,892,927,943,975], % 528
[2,8,16,40,48,57,62,65,71,86,89,92,93,94,104,105,106,121,129,133,139,147,148,155,164,168,173,175,176,191,215,216,233,235,238,239,252,267,279,290,307,317,323,325,332,334,338,360,369,371,390,395,398,400,403,405,414,415,427,434,450,451,463,494,506,510,524,547,548,549,551,558,567,568,569,582,585,593,601,613,614,631,638,641,648,657,679,681,715,731,733,735,737,738,762,775,777,799,808,814,815,827,839,841,846,855,864,871,880,881,887,891,903,905,913,916,940,993], % 529
[4,7,18,19,25,42,48,51,53,58,66,71,79,84,128,136,138,149,153,154,179,185,192,193,197,204,254,257,265,278,284,292,306,307,309,310,313,315,319,325,331,339,341,361,363,378,382,387,388,406,418,421,424,447,451,474,478,484,486,493,501,509,554,564,573,587,594,601,602,608,626,644,647,651,657,660,671,684,693,708,717,734,744,745,751,774,775,776,786,791,799,805,814,838,840,844,859,870,898,903,915,922,935,968,976,977,999], % 530
[22,31,40,73,78,100,114,135,136,142,152,158,159,175,180,205,216,231,253,261,285,293,300,301,305,316,320,323,327,333,357,366,369,380,388,392,403,410,415,419,420,425,471,484,494,497,527,529,530,560,561,563,598,601,604,607,623,624,640,656,672,679,684,685,689,703,716,734,748,750,767,777,785,791,813,818,839,866,867,895,905,906,923,928,929,963,967,976,978,981,995,1000], % 531
[10,20,60,85,96,98,111,114,128,132,134,144,151,162,195,201,231,243,248,249,250,275,282,287,295,305,316,369,383,386,393,438,441,448,456,535,538,561,563,564,580,591,611,614,626,631,643,649,669,685,717,718,737,741,750,751,758,763,765,780,783,820,823,836,861,863,878,882,883,884,892,893,918,924,936,944,947,952,993], % 532
[12,19,38,65,73,83,86,90,97,119,120,122,124,146,150,153,154,155,157,177,178,186,189,195,205,215,217,219,222,235,280,281,284,319,322,332,381,384,385,412,425,434,440,449,453,455,465,483,511,514,534,539,564,578,599,617,628,634,648,653,671,678,681,707,729,735,762,774,794,796,830,848,858,865,869,886,903,909,910,929,933,936,951,964,973,979,993], % 533
[3,8,38,41,49,56,58,79,84,95,117,118,120,131,136,139,166,174,176,178,184,190,196,197,202,214,219,244,261,272,279,287,292,296,298,312,315,319,325,356,374,382,394,397,401,403,426,427,436,456,462,470,471,478,480,483,486,493,510,516,526,529,542,547,581,583,601,604,605,623,631,656,657,660,690,705,714,715,722,728,730,757,759,783,789,794,804,823,835,840,874,893,902,909,942,953,954,961,962,978,984,999], % 534
[8,25,40,54,57,62,63,66,69,71,76,78,83,94,106,113,116,123,124,164,171,175,181,184,203,205,206,220,243,246,252,257,268,278,301,302,303,305,312,317,334,335,336,343,345,354,357,358,371,374,381,383,387,393,404,413,415,423,427,453,456,476,479,499,517,525,529,568,576,588,600,602,612,613,617,622,623,670,672,678,679,714,726,731,750,751,756,768,790,805,811,819,837,851,866,868,873,882,890,905,908,911,931,956,966,974,987], % 535
[3,11,13,14,54,73,78,79,89,90,95,106,110,113,116,133,137,139,148,185,191,224,239,258,264,268,286,288,313,314,332,377,383,384,394,396,400,438,475,479,513,516,523,529,537,555,572,579,580,581,595,614,630,631,640,642,655,658,664,666,672,701,729,734,782,786,793,795,802,808,832,856,864,867,878,882,924,925,931,934,937,963,990], % 536
[2,9,14,15,25,32,42,61,72,89,91,101,113,115,119,120,125,145,148,150,161,168,185,193,196,201,209,213,216,270,296,298,304,313,318,322,329,341,345,393,416,417,422,445,449,450,461,470,472,474,484,497,503,542,558,562,568,569,583,584,590,596,599,614,628,629,633,664,665,678,679,691,711,718,723,741,754,775,792,795,814,828,837,851,855,856,858,862,866,868,908,918,923,965,975,989,992,994,997], % 537
[14,20,22,31,37,49,62,84,85,86,90,107,109,115,134,155,167,194,203,206,224,229,235,241,248,252,265,269,275,290,303,315,319,325,336,347,361,370,415,416,427,429,457,479,485,487,496,504,522,533,545,550,599,618,641,646,663,667,672,684,687,697,702,703,707,733,749,755,769,783,790,805,820,823,824,825,827,838,847,854,859,874,888,889,895,900,915,948,956,979,982,984,986], % 538
[10,14,16,22,60,63,78,102,108,113,117,121,123,127,136,138,142,146,147,148,150,152,165,166,200,212,230,250,253,261,269,275,285,290,309,313,316,321,332,355,358,375,386,392,408,413,417,423,428,436,446,459,470,476,480,489,494,499,517,518,530,533,555,567,568,571,585,586,587,594,595,613,614,624,628,635,682,696,698,732,750,758,767,768,770,771,782,789,813,819,831,838,850,883,887,892,904,923,935,937,940,947,967,973,992], % 539
[26,28,36,41,46,47,59,71,77,81,89,112,126,141,143,153,163,166,184,193,205,217,226,229,237,252,253,259,268,273,274,280,281,287,294,302,312,333,335,352,362,376,407,439,449,466,469,473,483,487,499,510,515,517,529,536,551,587,605,609,615,621,636,644,661,691,700,704,707,708,726,733,746,756,770,778,790,797,800,828,832,839,841,854,868,874,876,884,923,930,947,950,958,978,980,981,995], % 540
[1,10,34,37,41,48,58,80,91,92,122,125,141,146,161,162,163,175,180,191,215,217,227,231,248,252,253,262,268,274,275,284,306,314,349,355,364,369,379,393,395,396,398,405,406,413,441,457,474,482,483,489,493,498,507,514,518,529,539,545,558,563,571,578,598,606,623,639,653,668,699,704,729,765,793,795,796,802,804,841,846,851,874,878,887,892,897,907,936,941,944,953,964,965,973,988,993], % 541
[5,9,10,11,15,23,28,44,46,62,66,68,87,118,156,195,203,207,243,249,259,260,283,287,290,292,298,302,308,309,310,314,317,350,351,359,372,381,383,387,404,408,413,434,452,454,455,458,468,481,489,511,519,532,534,544,550,555,558,561,568,587,589,600,605,632,637,644,645,647,667,672,685,686,692,700,725,743,753,766,774,784,794,856,874,879,890,891,894,918,922,926,933,934,935,941,942,945,963,998,999], % 542
[1,2,11,29,41,52,53,54,55,66,71,92,96,98,125,126,191,196,215,221,235,243,245,258,280,284,286,302,309,314,319,350,359,365,401,430,437,441,442,489,510,518,532,535,541,550,579,590,594,602,608,621,625,626,627,642,667,671,687,701,702,709,717,722,733,735,747,752,756,760,772,773,775,798,799,802,805,811,823,833,839,841,844,857,858,860,877,879,881,885,902,915,917,923,928,935,953,955,967,980,995], % 543
[12,44,48,89,114,126,133,139,176,179,198,203,211,212,214,217,224,231,235,284,287,322,324,332,335,336,338,351,359,382,385,386,392,394,402,408,412,422,432,436,440,444,454,466,470,479,487,530,545,555,556,557,566,571,572,582,600,614,618,636,648,654,657,658,662,666,682,683,696,702,705,709,727,753,761,789,791,795,805,845,875,882,887,903,950,960,976,984], % 544
[26,37,45,46,61,62,81,98,113,114,118,119,125,133,146,166,168,175,179,184,203,226,233,242,246,269,293,303,309,321,322,348,363,385,399,402,406,409,415,416,437,438,472,473,474,486,490,529,530,531,534,535,539,573,586,589,590,627,630,631,637,645,646,648,650,662,686,700,705,746,747,750,755,765,776,790,798,818,826,846,850,858,866,887,897,914,920,935,940,945,948,967,971,972,977,980,981,984,995], % 545
[17,26,33,37,39,44,52,56,58,62,72,74,98,101,104,127,129,165,172,187,188,191,195,196,197,200,210,239,243,260,288,291,298,308,318,331,334,360,362,366,374,377,385,393,402,406,421,426,438,440,473,476,478,479,482,491,503,509,515,516,521,532,539,548,553,576,581,584,587,598,605,613,622,640,650,660,681,687,688,694,699,701,708,709,710,712,722,727,749,764,768,773,774,788,795,798,800,811,826,827,837,849,867,876,880,888,892,910,927,932,937,946,949,964,966,970,973], % 546
[19,22,39,43,45,52,61,82,90,91,101,121,136,140,143,145,154,161,162,191,202,212,215,219,228,234,273,293,296,298,318,323,369,422,423,427,431,455,465,470,473,475,495,504,508,511,527,540,565,572,573,574,592,594,599,620,622,634,636,644,645,646,661,681,685,693,698,717,725,727,743,753,770,778,784,793,817,822,878,880,902,904,928,929,943,944,961,973,980,989,996], % 547
[6,10,25,53,76,77,93,97,110,115,127,133,148,161,165,166,178,179,188,189,198,211,222,236,240,251,287,292,297,299,305,324,327,328,334,336,355,363,368,370,373,380,387,389,402,403,418,430,434,438,444,446,468,479,483,488,495,496,511,513,521,529,550,554,566,575,579,608,627,648,651,656,673,699,727,731,734,736,738,742,743,744,750,757,762,767,780,783,795,797,799,804,809,846,847,849,853,859,861,870,890,893,900,901,902,909,912,914,928,929,930,940,950,953,975], % 548
[26,36,40,41,43,70,77,83,96,104,108,120,149,173,197,203,214,223,243,260,273,277,291,294,305,312,316,335,357,373,377,397,399,408,416,433,434,465,468,492,494,496,500,504,520,521,530,535,544,546,555,572,583,600,604,613,619,626,630,704,718,727,729,733,736,754,780,822,837,845,848,850,851,870,877,885,888,891,905,923,932,943,962,979,984,995,998,1000], % 549
[21,23,25,31,32,54,56,59,68,84,114,119,135,149,169,201,210,257,273,277,280,291,293,297,306,315,317,320,324,330,334,375,383,401,431,435,453,470,489,497,506,512,533,554,556,575,580,597,621,632,649,659,662,672,673,677,685,689,708,718,723,729,733,762,764,766,768,778,780,793,795,799,805,819,823,826,827,845,848,853,859,863,864,909,925,926,949,977,990,994,997], % 550
[8,9,11,12,14,18,32,52,53,73,77,79,82,83,86,91,111,113,116,126,127,138,150,154,165,172,193,195,208,212,215,240,252,257,263,271,275,283,284,303,314,319,331,334,339,354,360,363,370,374,400,402,404,411,419,429,431,446,455,457,467,471,494,509,519,520,528,533,539,566,573,574,578,591,599,614,627,630,644,645,649,667,678,684,700,703,745,754,758,775,806,818,821,849,857,862,867,872,880,882,889,891,900,906,917,923,928,938,950,953,992,997], % 551
[4,9,11,12,13,25,27,35,39,46,48,57,73,83,90,99,112,113,146,182,192,193,198,202,214,218,221,227,282,283,290,295,311,313,318,337,345,347,361,379,396,429,436,452,461,474,476,490,496,500,505,508,511,520,522,531,543,546,553,566,569,581,597,606,610,626,633,635,646,670,677,689,703,709,724,732,751,756,757,767,772,774,784,792,802,808,815,817,842,851,855,857,863,865,869,881,890,916,921,925,928,929,938,943,967,977,1000], % 552
[17,20,27,30,33,35,44,53,57,93,101,118,123,130,139,142,156,184,198,227,233,248,250,257,259,265,271,280,289,302,310,312,333,336,342,346,348,361,368,370,431,463,467,468,482,493,499,508,513,514,519,521,523,529,538,544,551,565,567,576,601,617,618,621,624,625,626,627,638,642,645,665,674,683,692,708,710,712,719,725,732,737,740,750,751,795,797,808,810,813,861,865,866,869,887,940,946,963,965,969,973,980,981,988,999], % 553
[11,15,23,44,55,71,80,89,99,153,164,169,170,176,180,185,197,200,216,217,239,267,268,270,317,325,326,332,340,345,358,359,369,372,374,375,386,410,416,419,421,423,443,468,486,496,504,510,537,543,558,559,578,591,604,606,617,620,637,638,644,652,659,660,663,667,693,697,711,716,739,742,744,765,770,777,794,797,806,815,818,819,820,854,885,890,898,911,919,921,935,939,942,946,947,999,1000], % 554
[8,21,25,26,31,44,48,63,65,74,87,100,110,115,120,127,137,144,149,152,159,172,183,211,214,233,236,239,258,261,282,290,291,295,302,304,314,318,330,334,362,367,377,397,418,434,445,453,469,471,474,475,486,502,509,514,520,523,528,536,545,570,579,583,593,603,606,609,615,621,638,645,651,661,669,673,676,689,693,694,697,704,705,716,717,719,741,743,746,774,779,797,805,838,841,857,878,879,880,895,903,904,920,938,939,953,956,960,962,967,986], % 555
[17,24,55,91,102,114,123,131,157,172,180,182,183,185,198,219,229,251,278,291,299,301,303,313,319,327,342,362,373,403,407,415,426,457,468,474,483,485,488,503,505,515,543,550,553,555,572,577,616,636,643,644,653,654,657,671,674,677,684,704,718,740,751,759,761,769,784,788,803,804,816,862,888,891,909,915,932,940,967,974,975,981,982,990,999], % 556
[30,31,33,60,72,92,113,126,131,134,135,145,146,151,156,158,163,166,168,190,196,204,211,232,263,271,282,295,299,304,309,317,318,342,357,365,376,378,388,391,394,402,422,427,439,449,459,460,470,480,487,493,503,508,513,518,522,549,562,573,580,581,590,597,602,610,628,634,635,639,672,673,690,694,712,713,721,734,736,738,739,750,779,782,788,804,807,816,838,840,847,850,876,881,921,922,933,937,938,946,969,972,985], % 557
[2,9,15,48,57,60,73,91,96,104,115,144,165,180,186,189,211,213,214,234,237,241,252,254,272,279,281,313,335,353,355,357,375,377,411,430,434,441,448,475,480,494,495,549,557,566,599,607,614,635,640,641,647,657,660,661,662,668,672,673,687,704,722,738,739,745,761,765,767,775,783,784,792,816,824,861,869,870,896,899,914,922,948,955,963,968,972,976,978,979,981,986,992], % 558
[9,23,34,44,46,48,50,60,62,70,82,109,113,148,153,154,155,161,185,208,236,248,260,262,280,290,293,296,308,312,313,316,332,365,366,402,418,423,436,452,464,472,475,478,484,511,516,522,531,534,542,551,553,564,567,570,580,581,598,606,618,621,623,630,637,660,668,675,676,683,704,712,719,754,784,786,788,790,791,802,816,839,849,857,860,862,880,882,890,892,901,926,931,933,935,940,954,958,959,966,969,973,984,995], % 559
[5,23,38,46,75,77,80,85,86,98,102,114,116,118,125,126,129,132,141,153,162,175,179,189,198,205,206,236,243,257,273,280,293,300,306,321,339,348,362,378,388,391,395,408,413,418,419,427,432,438,441,453,464,514,523,530,547,549,555,558,559,582,583,585,601,606,652,655,670,672,677,704,705,715,716,736,740,747,748,749,753,765,771,775,797,816,846,851,854,859,862,871,872,879,885,929,939,954,955,958,991], % 560
[5,13,17,30,37,43,45,51,54,56,73,102,115,116,141,143,156,168,169,183,185,191,201,258,265,280,281,282,286,288,289,291,296,300,305,309,322,328,330,345,351,354,355,359,366,367,372,376,389,399,411,429,433,444,447,459,463,467,483,496,513,531,535,538,545,566,581,594,599,600,625,633,635,640,644,652,663,669,680,682,694,707,730,755,800,806,809,813,829,832,840,842,852,866,903,925,932,948,953,957,959,967,982,991], % 561
[6,42,51,56,58,61,79,87,96,97,101,105,117,131,137,145,149,152,167,177,189,191,197,203,208,214,215,216,218,233,240,245,247,250,268,286,292,300,304,331,343,345,354,375,387,401,402,403,412,416,418,432,443,447,452,461,474,476,480,481,485,499,525,528,540,549,554,570,580,581,594,609,618,625,645,652,653,659,670,683,686,700,714,715,733,746,753,760,774,778,779,780,784,798,801,804,806,819,821,827,837,840,848,850,883,885,894,905,915,918,935,940,944,962,972,984], % 562
[6,16,25,42,43,46,51,53,57,73,89,91,97,98,102,117,158,160,172,177,191,193,198,203,220,232,251,252,255,273,277,286,312,333,334,346,352,366,372,385,403,411,428,441,445,468,472,505,514,516,521,529,543,544,548,549,556,557,566,592,594,602,604,607,613,616,627,636,644,647,651,673,696,700,711,736,746,750,756,761,778,782,790,793,800,801,808,819,832,834,838,839,854,881,887,892,894,910,912,913,927,950,995], % 563
[13,45,60,62,63,73,82,113,117,133,144,160,177,183,187,204,207,210,225,242,245,252,255,268,275,280,282,288,337,339,344,349,362,363,381,389,390,393,399,412,413,415,423,433,440,447,453,458,465,472,475,485,504,515,521,522,527,553,554,586,588,589,590,593,606,608,629,632,638,640,644,666,670,673,676,701,724,736,742,763,765,799,812,829,835,836,845,848,852,853,866,896,899,901,920,926,927,930,933,944,949,953,956,959,961,981,983], % 564
[2,8,19,32,42,57,60,61,86,95,105,108,109,117,124,142,149,158,165,171,187,200,210,236,271,277,286,291,292,298,299,304,306,308,331,338,340,342,346,357,364,367,369,370,372,386,395,405,406,432,445,464,473,513,516,541,542,544,551,562,591,595,608,622,623,624,651,656,674,676,685,686,719,737,755,761,797,803,827,828,833,845,849,857,875,882,892,894,902,904,910,914,917,921,932,938,940,951,962,968,991], % 565
[11,20,26,41,64,91,122,135,142,144,145,147,162,170,185,205,221,226,233,259,265,272,288,296,298,301,306,316,327,337,354,357,361,372,382,384,386,410,414,415,427,430,449,452,490,500,504,510,514,519,523,527,586,588,601,606,638,664,665,672,685,688,693,697,699,705,707,719,730,735,762,765,767,778,797,807,817,850,859,860,873,885,903,924,930,941,953,969,980,998], % 566
[4,9,11,21,22,31,44,46,63,74,87,110,127,129,138,154,156,160,162,164,188,199,210,230,233,235,251,262,267,284,315,316,323,343,347,349,352,355,365,380,386,398,409,438,458,473,487,490,508,511,524,527,531,533,554,566,569,573,578,588,599,601,605,608,611,615,622,628,641,648,653,658,665,669,672,700,707,710,714,718,727,761,766,768,791,810,827,830,871,883,889,896,903,913,923,928,933,949,950,973,979,983,987,992,993,996,1000], % 567
[16,18,29,35,36,49,55,60,75,76,80,83,90,91,108,112,124,142,145,161,189,208,210,236,244,253,261,284,297,299,300,305,307,311,315,317,333,341,349,354,355,358,381,382,388,407,436,440,465,467,470,477,483,490,501,513,551,554,556,557,561,580,588,589,595,616,621,630,639,641,643,651,667,669,672,674,675,677,680,700,707,723,751,771,796,800,813,824,844,863,873,876,893,901,909,934,937,941,942,953,956,984,990], % 568
[25,36,37,46,53,64,80,84,89,107,108,121,125,131,133,134,158,160,171,187,197,198,202,208,233,238,240,250,252,262,263,274,275,281,283,294,302,311,334,335,342,355,360,365,370,372,381,383,389,391,396,408,411,423,429,439,445,446,447,448,460,462,470,479,501,506,509,511,529,537,566,567,574,591,597,606,609,638,640,645,648,649,667,671,696,698,708,714,719,729,736,751,757,770,783,808,809,821,822,829,843,847,857,867,875,876,890,905,912,916,929,937,938,946,948,950,961,963,965,999], % 569
[19,25,32,41,54,68,72,76,107,113,126,152,153,161,162,186,198,199,216,218,240,241,250,267,280,282,295,305,311,321,325,344,345,364,369,373,374,376,386,387,390,394,395,397,398,407,408,418,420,429,433,437,441,453,466,467,514,544,566,573,592,594,605,606,622,643,644,653,655,672,682,683,689,696,708,725,727,736,738,741,744,752,768,770,775,778,779,798,805,808,827,831,832,842,845,866,871,881,891,894,896,903,927,946,947,948,952,970,978,988], % 570
[25,37,41,49,52,73,84,114,118,124,128,158,160,172,175,178,194,195,207,229,230,237,253,256,257,263,317,318,329,330,343,345,367,369,372,402,406,423,438,443,451,455,465,471,474,478,489,520,529,530,536,542,549,569,574,601,603,619,627,631,658,667,669,682,683,691,697,708,728,736,737,740,760,771,775,779,794,797,804,820,822,838,853,862,869,872,882,895,908,910,925,944,955,965,977,993,996], % 571
[4,5,12,13,25,30,32,35,49,51,67,73,86,90,99,113,120,121,126,136,144,153,170,178,226,234,235,245,246,249,263,271,278,279,280,294,309,315,328,329,330,338,339,343,345,352,354,362,383,385,390,397,401,402,405,417,429,433,461,462,470,478,489,493,521,535,536,538,546,555,557,626,629,638,642,644,647,656,658,661,664,668,678,699,700,702,705,720,722,745,752,757,759,760,766,782,788,837,844,848,850,893,898,903,911,916,917,922,932,942,957,961,962,974,985,990,993,999], % 572
[6,9,10,19,24,26,32,61,62,82,92,116,117,136,149,155,156,168,179,233,258,263,284,285,327,328,344,346,351,369,401,427,453,494,505,506,511,519,540,548,595,597,599,600,606,608,613,614,616,617,635,649,676,681,682,701,721,745,748,764,765,766,771,797,806,815,817,819,846,848,858,863,870,881,885,892,895,902,913,915,928,929,935,966], % 573
[6,33,52,59,106,107,136,143,167,175,185,187,189,190,204,209,211,220,227,228,233,247,253,262,269,284,287,300,314,323,338,341,360,374,408,438,439,454,456,463,468,473,482,487,499,511,513,557,558,564,566,577,578,588,589,616,631,635,664,667,674,680,698,703,705,713,724,731,752,766,768,778,789,795,802,810,820,851,856,857,890,901,922,935,945,951,963,964,970,983,996], % 574
[5,7,16,20,26,61,81,86,108,109,113,120,121,123,127,129,130,132,140,144,146,149,158,166,170,171,172,182,183,192,206,232,244,245,249,267,307,312,353,361,362,375,378,379,417,464,521,524,527,530,535,536,539,544,556,569,570,584,589,591,593,596,602,611,621,635,638,642,645,648,658,670,675,701,706,710,713,768,786,794,795,801,804,806,810,813,828,860,866,867,869,870,871,872,879,897,902,908,947,959,964,971,976,979,982], % 575
[2,12,19,28,42,57,84,88,92,93,106,108,112,120,123,128,141,149,150,160,168,191,202,216,226,229,231,232,245,254,265,266,267,273,276,284,295,297,305,329,342,345,346,352,354,357,365,373,377,379,382,402,407,410,417,423,425,430,433,435,447,471,472,489,494,508,527,542,546,547,558,565,569,586,619,620,633,652,658,670,676,736,751,752,754,764,788,791,801,803,812,824,851,865,885,902,903,939,949,954,964,968,976,988,991,993,995], % 576
[16,21,24,28,32,43,48,51,70,76,85,97,114,119,122,130,133,143,149,152,163,176,178,179,182,197,201,208,211,215,216,219,249,260,264,283,307,309,316,317,337,339,350,363,364,371,376,377,386,393,398,410,422,423,434,448,499,538,543,545,548,571,587,594,609,614,617,618,622,644,663,675,678,684,687,711,726,774,776,794,799,803,816,822,824,831,835,836,840,843,853,864,881,884,885,892,900,928,940,943,945,948,950,968,993,997], % 577
[14,16,30,34,38,44,51,62,67,69,72,74,76,82,107,118,131,146,150,153,164,166,167,170,178,183,195,208,233,253,269,275,314,315,323,332,337,356,368,371,372,373,378,382,383,394,404,426,427,437,446,450,459,461,462,464,468,473,480,488,526,531,535,538,577,595,603,605,636,639,647,677,689,697,718,725,733,740,745,758,764,778,779,782,789,797,799,802,808,811,814,827,830,832,836,837,840,845,848,849,853,860,864,866,888,890,905,910,918,927,945,969,973,975,984], % 578
[2,8,21,24,27,53,71,73,75,82,89,108,118,154,158,160,164,173,184,199,239,242,256,258,278,280,286,297,309,320,325,333,351,356,374,387,402,403,405,426,439,452,453,455,473,474,480,495,502,510,524,532,535,561,562,565,574,577,584,586,596,598,612,613,615,626,629,634,638,641,652,664,680,699,700,715,716,719,726,731,746,794,803,827,828,846,857,874,876,879,883,892,894,910,918,920,921,931,942,959,975,990], % 579
[1,11,13,20,33,50,61,65,77,78,96,99,112,119,127,131,141,160,171,173,180,194,201,217,218,225,233,248,267,270,311,320,337,343,344,354,370,376,396,402,418,435,462,469,470,496,497,502,509,515,516,525,534,552,553,561,578,583,588,596,639,642,649,670,699,704,705,711,720,725,729,734,745,746,749,752,755,766,768,785,787,790,792,799,800,826,832,835,840,842,857,875,887,913,918,948,952,964,978,980,996], % 580
[7,14,23,27,55,65,69,86,88,95,109,126,133,134,156,171,172,177,185,187,192,203,209,210,213,223,241,245,249,252,263,267,284,309,322,323,359,376,387,396,417,428,431,441,458,486,491,496,501,502,516,520,539,552,565,569,577,584,590,594,600,606,615,618,624,638,658,664,669,672,678,706,708,720,723,725,727,740,755,760,763,768,798,801,806,815,820,821,824,827,830,834,835,847,857,861,874,875,881,894,896,914,921,923,933,940,950,963,985,994,996,998,999], % 581
[16,21,25,29,31,32,33,60,69,84,89,95,104,118,119,122,123,125,127,133,135,139,161,167,169,176,182,193,211,212,217,220,240,247,248,259,265,286,297,300,317,324,357,358,376,381,383,394,397,405,414,419,429,436,444,449,460,463,470,480,496,506,523,535,540,570,606,627,628,630,633,673,694,702,708,711,723,746,770,772,780,800,817,822,826,863,880,885,900,908,912,944,946,979], % 582
[10,23,28,33,42,45,46,50,51,81,100,109,114,128,140,150,159,167,176,177,179,181,202,205,208,213,218,230,234,241,250,256,259,273,274,283,289,291,295,297,308,311,313,314,316,341,345,353,370,373,383,408,410,412,415,420,435,453,455,461,466,468,477,480,484,495,499,504,531,542,546,562,572,588,599,602,614,616,628,631,654,668,672,676,689,709,712,733,744,745,747,760,762,764,769,774,779,798,808,820,821,825,837,857,859,863,871,875,891,895,901,937,949,996], % 583
[12,20,26,47,52,56,59,69,77,83,86,88,93,98,99,101,112,117,122,195,219,235,243,254,292,309,317,338,344,349,358,359,366,368,415,417,421,429,436,453,483,492,506,511,512,522,540,542,560,563,580,590,594,606,607,629,636,640,662,692,698,702,716,723,726,743,744,768,801,848,860,891,893,895,898,906,912,914,936,961,962,965,985,991,997], % 584
[2,7,25,27,35,47,69,71,130,140,153,162,168,174,189,191,194,202,221,226,233,238,259,267,275,280,290,296,302,307,324,327,345,350,351,358,368,382,385,387,410,412,429,430,437,456,462,465,475,499,500,508,513,517,527,539,559,569,583,593,603,605,612,623,624,636,642,644,646,648,653,670,672,675,685,703,732,740,763,770,789,791,794,803,811,814,827,831,837,849,858,859,873,874,890,914,928,943,951,964], % 585
[1,9,10,23,32,42,46,52,53,80,82,100,110,121,124,138,147,157,180,203,228,229,233,244,257,259,268,276,303,306,311,330,332,340,344,348,350,357,362,365,366,374,378,384,407,408,413,414,417,437,442,449,452,460,479,496,500,503,517,528,535,554,566,573,591,594,600,614,615,620,621,632,637,641,645,646,649,651,657,659,662,667,693,699,711,728,732,742,751,752,760,765,768,782,793,798,805,828,831,838,845,849,857,873,879,880,887,904,911,952,975,976,998], % 586
[3,4,22,26,49,56,57,70,78,88,92,94,96,98,102,104,105,117,142,169,172,183,189,193,198,229,239,252,276,298,301,317,321,326,333,336,347,349,356,368,382,412,413,423,435,448,453,454,460,464,476,477,478,485,490,492,531,534,552,558,584,619,621,624,625,637,642,656,663,677,678,690,698,710,730,746,754,757,794,800,826,835,839,848,850,859,872,876,897,907,908,922,925,939,940,951,952,957,980,995,1000], % 587
[2,14,16,19,46,52,65,67,76,86,93,96,105,116,128,135,151,154,155,192,194,215,217,225,239,247,252,274,276,282,288,301,306,309,311,320,327,336,354,358,368,377,389,397,410,413,421,438,451,465,476,480,485,488,491,504,525,528,535,541,567,613,622,629,630,640,647,653,666,672,677,679,681,682,691,693,703,708,709,712,725,734,735,739,759,760,761,768,801,808,822,825,826,833,848,862,882,883,895,903,906,908,917,938,952,957,959,972,974,996], % 588
[5,15,39,47,54,93,95,99,105,107,114,124,127,152,167,180,204,222,235,243,254,259,263,278,279,282,283,286,292,301,311,330,335,352,370,374,399,400,413,419,428,429,439,441,444,448,457,461,463,497,531,544,549,567,578,585,592,593,613,633,636,643,652,655,687,691,709,724,731,749,753,773,803,810,811,824,832,838,850,856,866,867,872,874,875,876,885,889,890,896,912,917,937,939,947,963,973,975], % 589
[3,15,17,41,42,43,74,78,99,104,109,134,138,141,143,155,156,172,199,203,230,232,238,242,249,289,312,337,339,346,350,369,386,408,417,430,437,438,439,450,455,466,471,481,482,483,511,520,526,535,544,548,558,559,579,596,599,605,612,613,619,637,641,643,647,683,697,702,703,704,723,736,748,750,784,788,853,885,901,902,938,939,942,961,976,982,984,991], % 590
[5,14,20,49,53,54,66,71,76,96,103,115,122,124,129,138,159,170,181,187,189,191,225,256,259,266,268,271,285,286,303,306,310,312,314,366,383,388,405,416,417,419,424,438,448,450,470,484,488,491,522,526,528,529,531,534,536,537,550,557,559,562,599,610,633,658,669,680,700,712,715,719,728,748,772,790,799,806,807,821,824,826,841,851,867,871,876,899,944,947,948,972,973,981,996,1000], % 591
[6,16,20,23,28,40,45,63,64,66,84,90,91,106,109,113,137,163,179,181,183,187,203,212,228,286,288,307,331,340,342,348,350,352,363,373,378,396,405,409,411,432,443,456,461,470,475,502,511,512,517,518,520,524,529,543,544,553,562,569,580,581,582,585,621,626,642,654,657,661,666,676,679,685,692,694,701,704,705,712,715,733,743,751,768,819,833,837,839,847,851,856,860,862,881,892,893,898,907,909,933,937,954,966,980], % 592
[16,22,23,27,37,40,44,54,76,77,100,110,120,138,157,160,179,183,188,193,204,209,216,219,234,241,242,246,275,283,284,286,287,310,312,316,325,327,336,361,385,387,389,411,419,430,440,444,453,455,468,474,500,503,514,515,535,536,548,551,554,555,564,566,572,587,592,602,603,604,618,642,653,673,679,687,720,721,732,737,763,769,777,804,809,821,831,835,843,861,864,865,890,904,925,968,980,990,992], % 593
[13,21,23,26,31,50,62,81,111,115,117,136,141,158,159,178,187,190,194,216,253,259,261,271,290,291,296,298,310,335,338,340,344,357,390,397,400,409,411,419,427,433,448,453,458,469,470,493,496,504,508,514,529,549,551,565,575,581,589,590,593,601,613,614,623,626,628,631,636,643,660,664,667,673,693,696,703,704,714,760,765,774,781,785,794,812,825,833,835,838,846,855,859,900,906,912,922,928,929,930,936,939,958,980,983,985], % 594
[4,12,15,18,22,23,27,32,45,46,62,68,71,81,89,92,99,100,105,165,170,182,220,231,244,257,264,274,291,303,304,311,314,320,321,323,328,347,360,361,368,380,386,387,398,399,405,406,411,418,437,438,440,455,456,459,460,465,476,480,481,485,496,498,518,526,540,543,551,556,569,579,585,628,632,635,646,668,682,690,702,705,714,727,729,735,778,780,783,787,796,828,842,846,850,859,861,888,890,894,908,914,928,930,938,943,958,963,968,990], % 595
[27,82,93,96,99,100,106,111,117,119,123,129,136,147,154,160,163,178,179,188,196,198,200,212,220,221,238,254,258,261,270,272,285,287,289,292,305,312,319,324,345,347,375,380,385,391,402,404,414,415,416,418,427,435,440,445,456,461,480,487,489,501,508,527,529,542,550,553,581,582,583,585,586,590,601,605,608,616,631,634,638,644,646,647,668,672,673,674,681,694,695,703,705,707,709,718,720,744,760,772,784,788,794,796,814,822,829,833,846,852,855,873,894,925,933,934,935,965,969,987,999,1000], % 596
[3,4,19,20,25,27,35,42,48,85,89,105,131,143,161,169,172,181,185,228,233,248,254,258,262,275,276,285,286,300,304,307,308,318,331,350,351,359,373,387,403,424,430,439,458,459,460,470,491,494,496,505,512,525,528,565,577,578,581,591,602,609,617,640,648,661,674,682,710,721,747,777,792,811,819,832,852,855,861,864,868,893,899,960,961,966,980,985,987,990,993], % 597
[11,15,22,40,61,101,111,112,118,133,135,154,161,162,191,192,195,211,214,216,259,282,283,293,296,303,314,331,339,366,431,433,439,441,442,443,454,457,460,464,465,476,477,489,502,509,525,538,566,574,619,633,639,659,663,672,679,690,698,704,712,727,747,761,766,768,780,782,787,800,801,826,841,866,879,883,885,901,912,930,934,935,941,951,963,970,988], % 598
[29,33,36,42,47,48,54,59,66,70,78,82,88,89,95,96,101,123,125,126,128,136,148,155,180,188,191,196,266,279,285,289,291,294,317,322,332,350,351,352,354,373,379,387,388,397,408,414,423,440,452,477,478,493,498,522,542,553,555,585,601,606,609,610,620,646,654,656,679,681,694,727,736,751,766,767,768,779,780,787,789,794,819,826,827,837,844,849,864,878,883,891,904,910,918,925,929,935,945,946,949,953,955,961,971,978,982,1000], % 599
[1,6,13,32,40,49,56,71,72,75,87,91,92,110,111,138,145,149,170,178,185,198,203,209,220,222,244,247,257,262,271,272,276,279,285,291,304,315,316,324,339,354,357,366,380,391,406,408,411,434,444,465,469,481,483,488,505,515,520,522,528,568,593,625,632,633,634,639,650,652,664,666,670,683,698,729,743,780,789,792,795,807,809,825,831,834,836,837,839,852,859,862,865,894,897,899,900,920,932,972,991], % 600
[5,26,29,32,36,43,50,60,65,71,74,89,97,110,112,122,123,134,139,152,154,180,198,215,228,234,242,245,251,255,268,272,274,279,281,299,302,312,319,326,329,344,349,351,360,386,401,412,428,481,487,490,500,503,521,533,541,555,586,595,598,611,630,643,649,655,664,668,681,693,697,708,719,765,772,784,800,827,850,854,859,862,865,885,886,902,905,926,932,945,960,966,986,992,999], % 601
[2,6,36,46,49,58,61,67,72,82,84,104,108,155,164,191,199,200,210,233,237,239,266,270,272,276,281,286,292,326,330,333,334,338,342,355,363,372,379,380,386,387,388,392,396,398,415,416,435,437,442,459,477,486,490,498,499,505,526,527,557,558,609,634,657,661,668,675,687,692,717,726,738,742,772,779,788,791,801,824,837,851,866,872,877,883,905,910,911,915,925,952,968,994], % 602
[10,23,26,27,37,75,80,85,93,95,102,120,124,160,164,169,190,196,201,210,211,226,238,246,248,253,257,258,260,281,309,315,317,319,331,341,345,347,357,392,399,402,403,406,417,418,419,438,446,447,462,464,465,470,471,497,501,516,524,528,534,539,555,557,564,565,566,579,591,592,594,612,625,628,640,641,648,678,702,713,722,730,744,757,770,798,801,810,812,817,839,860,862,887,890,892,921,935,937,950,963,981,990,992], % 603
[7,8,13,46,56,60,67,69,80,105,129,130,131,143,148,195,217,238,243,246,263,271,277,278,283,292,321,330,343,366,369,370,388,394,404,414,445,448,455,459,478,486,497,498,499,510,511,516,519,525,526,529,558,567,573,583,597,605,606,622,623,648,651,652,675,693,701,707,721,734,744,754,783,792,794,821,825,840,843,844,861,869,872,873,888,896,904,906,925,927,935,942,955,981], % 604
[7,14,16,26,31,42,48,50,56,65,68,69,74,77,80,105,109,123,124,125,132,136,139,144,152,203,208,223,237,250,269,271,273,274,275,283,297,324,339,347,367,382,394,409,412,429,443,449,452,454,455,468,470,485,505,523,525,526,530,543,550,553,572,578,595,597,625,626,650,653,659,666,681,698,725,750,772,782,800,803,824,843,855,857,865,867,912,913,920,952,955,959,984,995], % 605
[21,29,50,53,58,76,82,91,96,105,124,128,152,161,170,179,195,200,251,256,263,266,267,287,305,308,313,335,345,355,375,391,401,403,408,412,417,419,421,440,459,460,486,490,493,496,506,528,533,544,551,559,574,597,613,615,617,623,647,654,675,687,689,691,704,724,735,737,741,742,751,761,763,789,790,793,797,809,811,815,827,834,837,858,870,874,884,892,893,896,905,906,907,930,947,952,975,985,989], % 606
[12,26,42,54,80,92,93,95,105,133,139,140,149,151,180,192,195,200,202,211,219,224,239,245,248,252,260,267,283,285,286,305,324,335,349,351,354,376,399,401,402,404,406,409,428,439,441,447,455,456,470,482,488,497,529,547,571,578,601,618,619,622,644,657,669,684,717,720,728,760,785,803,815,831,833,842,843,853,856,857,862,889,897,907,912,915,919,924,927,930,941,946,966,987,990], % 607
[20,24,28,33,62,65,70,77,97,107,116,126,140,143,152,161,180,181,191,208,218,228,233,234,238,249,265,273,286,306,313,321,337,348,353,363,391,400,401,420,423,426,427,450,457,470,476,485,492,522,526,538,541,543,550,567,569,570,589,597,605,607,611,628,639,651,652,660,667,692,702,706,710,715,718,737,738,766,770,790,802,810,812,828,857,864,865,867,870,873,876,882,887,889,898,916,918,920,923,940,947,962,964,966,978,993,999], % 608
[9,10,14,29,41,67,74,87,94,95,118,126,131,134,143,148,150,151,156,166,179,187,201,204,205,213,216,239,244,249,252,257,262,278,281,284,285,286,333,342,347,357,366,372,386,399,413,433,439,456,462,498,499,537,539,548,549,556,573,576,583,584,588,627,631,639,641,643,668,681,712,724,740,755,765,770,796,829,831,844,848,852,860,877,879,899,905,908,917,931,932,942,945,949,957,963,970,984,985,994], % 609
[1,32,50,64,67,68,80,84,89,110,113,116,118,124,125,136,141,144,145,146,152,163,166,167,173,188,201,211,223,237,251,282,340,368,383,390,409,415,429,431,440,443,464,482,506,511,540,541,559,571,575,579,582,598,615,618,660,661,664,669,673,678,682,683,684,696,705,707,708,712,717,719,721,729,735,738,752,756,757,776,788,797,802,804,805,807,814,830,857,873,895,902,916,922,923,939,947,953,954,955,959,974], % 610
[8,23,30,33,42,44,48,50,52,66,72,85,100,158,165,171,194,210,241,249,253,281,293,297,325,332,341,342,345,358,365,376,378,384,398,409,428,437,448,457,461,474,486,494,506,508,514,530,546,556,561,564,573,582,619,621,627,631,632,638,646,685,719,764,789,826,835,839,841,859,865,869,879,887,891,897,902,927,941,947,952,953,960,967,976,981,982,984,994], % 611
[16,22,30,40,47,67,69,80,81,82,84,86,88,96,99,104,107,123,125,128,132,141,145,148,152,158,161,167,172,179,190,234,239,240,246,247,260,261,268,286,303,327,329,330,348,368,369,385,392,396,397,414,415,420,425,426,428,438,441,445,478,479,490,494,505,507,508,512,518,528,533,536,538,561,570,578,583,588,592,621,623,628,633,638,646,647,698,699,709,710,716,727,749,765,794,808,830,865,887,899,907,913,927,932,947,951,958,961,964,966,972,979,983,995], % 612
[5,20,21,23,50,74,88,90,93,130,139,151,155,176,203,214,215,221,224,231,232,237,253,254,268,281,308,314,321,335,342,358,362,372,377,415,423,430,432,436,444,451,467,470,472,479,486,507,514,517,522,524,565,578,579,584,602,628,630,638,642,651,654,664,674,686,689,701,708,715,747,764,771,774,778,779,781,816,819,825,839,840,843,845,846,854,862,872,875,881,892,905,906,928,929,933,938,940,947,949,960,984], % 613
[10,17,24,29,33,35,36,58,75,76,77,102,111,144,174,193,200,203,205,211,213,215,219,237,254,259,270,276,311,314,326,331,333,335,343,347,364,403,407,417,431,449,452,455,456,500,514,526,537,541,555,560,571,577,584,590,601,610,611,616,618,621,659,661,663,684,688,701,707,708,726,735,736,756,768,772,795,798,803,814,817,825,826,829,853,870,879,892,896,900,902,905,925,964,974], % 614
[2,7,23,30,62,66,70,81,93,101,107,120,128,130,141,154,157,166,173,187,199,200,201,223,225,235,240,245,249,280,281,285,286,313,323,336,339,341,353,357,366,380,394,403,406,415,417,418,423,431,432,433,447,456,490,531,535,565,575,600,610,622,624,632,636,643,670,681,685,692,694,745,747,784,801,810,843,861,864,879,888,890,916,923,933,938,953,980,982,987,994,996], % 615
[2,4,11,12,15,23,25,35,59,84,118,122,132,139,151,152,161,171,173,202,203,222,243,266,288,294,307,322,323,324,336,337,349,363,364,368,372,386,399,423,430,432,439,449,466,488,494,504,510,516,527,536,543,544,545,561,596,599,600,629,634,648,658,666,672,677,688,710,723,726,736,738,767,777,783,787,797,800,808,818,840,844,864,869,887,890,891,901,905,907,935,940,942,946,957,959,962,966,977,978,984,992,998,1000], % 616
[1,17,20,25,59,69,70,79,84,88,146,148,151,159,167,179,182,194,219,223,243,244,249,253,267,268,294,310,320,322,327,331,335,338,344,346,353,380,390,405,413,441,446,447,448,460,466,470,485,492,508,515,516,524,526,528,530,542,554,560,566,577,584,586,615,622,629,640,650,658,661,663,665,673,679,685,689,695,709,714,715,720,748,755,757,761,769,776,778,780,793,796,804,829,852,859,861,862,878,883,897,900,903,916,921,933,942,946,950,951,953,965,981,989,997,999], % 617
[11,13,26,37,50,60,72,80,81,95,120,148,160,165,167,179,183,214,227,256,261,268,273,280,281,284,298,300,303,336,343,344,358,371,372,383,398,406,453,460,468,469,476,499,532,547,559,563,587,588,601,602,612,621,627,628,631,637,654,657,659,668,670,689,704,737,741,759,763,765,775,781,785,787,788,801,808,816,823,829,830,840,845,846,847,852,856,866,869,874,883,890,894,897,898,906,942,977,979], % 618
[7,19,23,36,37,40,54,83,90,108,128,133,152,157,159,168,204,210,214,216,219,227,229,230,252,269,296,312,323,346,350,359,390,393,408,425,427,428,439,465,473,475,500,523,525,532,535,537,542,565,583,590,596,605,609,642,643,666,681,682,707,726,728,729,753,763,779,793,801,810,818,820,837,839,841,843,848,850,854,858,866,871,881,882,894,895,897,900,907,944,964,986], % 619
[1,24,27,32,47,50,77,78,85,144,151,153,156,157,161,168,175,188,193,222,223,224,229,233,235,239,247,249,251,252,256,265,266,274,276,305,319,320,335,337,344,370,395,400,408,412,426,435,441,482,491,509,513,523,532,536,576,583,590,591,624,634,680,714,716,725,727,734,737,739,741,746,747,782,784,785,788,790,802,808,843,871,880,893,899,904,911,925,927,933,934,937,941,957,961,987,994], % 620
[5,15,29,31,41,45,60,61,76,83,112,121,125,126,163,170,173,174,177,193,199,212,226,247,250,271,288,294,297,332,342,363,366,379,393,402,410,412,427,432,437,447,451,453,454,462,467,477,481,485,487,496,499,512,537,551,569,570,583,591,594,595,624,629,641,642,674,694,719,720,725,728,729,735,737,740,743,751,752,755,777,795,799,820,844,847,890,894,896,907,909,914,915,919,933,939,943,949,952,984], % 621
[1,6,7,12,26,34,55,66,85,86,92,96,103,105,122,126,127,147,158,166,169,174,191,206,207,210,260,264,266,272,276,300,328,329,338,350,351,352,370,379,387,404,406,409,422,425,426,428,438,447,461,471,472,506,508,522,523,527,528,544,559,570,575,581,584,585,601,610,611,650,656,680,686,690,704,705,734,745,750,789,808,809,811,812,836,857,862,879,907,925,941,954,957,979,992,1000], % 622
[1,3,9,14,24,25,31,39,48,49,61,70,71,80,104,110,130,134,144,145,152,153,156,176,187,195,197,198,204,218,226,245,252,263,265,268,286,300,301,321,331,357,358,371,373,394,399,445,458,471,484,501,509,527,528,531,550,556,563,567,577,586,587,603,606,609,610,624,643,691,712,718,741,751,772,779,780,799,813,839,864,865,869,883,888,900,916,917,928,937,943,957,959,963,977,980,998], % 623
[3,7,13,23,27,29,32,36,48,50,54,56,63,73,82,88,100,105,107,115,117,138,142,149,151,155,159,166,207,216,219,223,234,241,242,252,272,316,317,339,348,351,354,360,376,391,423,437,439,453,464,466,479,495,508,511,513,523,524,544,550,553,564,567,576,602,627,641,649,657,664,667,683,685,700,702,703,704,717,744,751,760,776,799,811,826,834,845,876,880,888,910,925,932,939,954,961,973,983,989], % 624
[8,9,29,38,48,56,62,65,66,67,70,86,88,92,93,97,111,131,139,141,150,151,154,184,192,197,202,216,224,227,230,231,262,269,279,284,295,314,317,327,331,333,337,340,357,375,378,389,391,400,411,421,422,439,481,487,500,522,540,565,593,596,610,616,619,636,649,661,685,686,702,714,792,797,798,799,801,804,805,813,826,830,841,844,848,852,861,863,877,884,906,907,911,938,944,961,965,978,983,984,996], % 625
[16,53,56,68,78,87,90,115,124,128,140,167,182,184,197,205,211,213,217,219,220,236,237,261,264,284,300,304,307,308,310,324,331,332,342,343,363,364,365,366,376,398,405,415,424,435,454,458,477,484,503,509,511,518,519,525,531,535,536,542,554,560,567,579,588,593,599,608,612,619,625,630,631,637,639,641,643,648,650,703,707,725,733,735,743,744,751,764,765,769,779,785,793,810,819,822,826,849,852,860,871,881,882,895,898,922,923,928,949,956,960,964,983,984,985,997,998], % 626
[5,12,15,35,39,60,64,68,78,81,87,98,100,109,116,128,129,131,154,165,172,178,193,208,242,265,268,274,280,297,301,307,311,320,322,335,340,342,369,386,387,388,403,407,428,434,451,476,477,491,494,502,503,505,510,527,545,548,563,564,565,571,586,588,607,615,616,632,642,661,663,681,682,684,694,709,728,755,756,759,782,785,793,828,829,831,839,844,877,881,889,910,913,928,940,953,956,974], % 627
[4,5,62,79,82,91,110,127,166,178,191,192,209,211,220,225,237,238,244,246,252,261,268,280,281,282,293,296,313,319,325,327,342,348,353,358,366,367,381,388,389,392,397,402,435,444,451,452,460,465,480,500,503,510,519,535,586,587,591,602,607,620,635,638,656,663,685,697,707,712,724,739,754,758,765,779,784,791,809,817,842,843,849,880,890,891,897,911,912,917,922,931,935,966,984], % 628
[5,6,9,23,28,40,51,58,68,69,72,78,81,96,103,110,116,137,145,151,173,175,177,185,193,195,202,208,219,229,234,244,252,294,312,324,327,332,360,362,367,371,388,407,416,418,422,424,447,458,461,480,481,491,498,506,516,527,535,538,540,550,552,555,590,596,604,619,631,634,645,659,670,680,694,722,749,763,770,785,789,808,812,821,832,836,837,844,845,846,847,851,864,869,870,887,898,901,903,912,914,916,917,946,954,962,966], % 629
[8,19,27,28,31,33,49,75,79,86,88,89,110,115,119,125,128,133,138,141,148,159,175,193,199,206,221,226,256,263,291,296,297,298,302,305,313,315,320,326,342,344,353,354,359,365,372,376,384,388,389,413,416,425,441,450,454,457,459,469,474,478,479,484,489,500,520,522,532,533,543,549,559,566,585,594,600,605,606,613,637,647,653,699,704,713,717,718,729,731,737,741,742,745,758,763,771,797,803,804,819,837,841,844,873,888,920,937,946,947,968,982,993,996], % 630
[5,32,34,36,40,53,57,65,66,73,80,84,98,108,124,142,162,170,177,182,184,203,247,253,267,268,271,283,308,319,324,329,331,332,334,336,340,342,344,346,355,375,376,380,406,413,423,429,440,449,454,466,476,485,486,496,497,516,524,530,548,551,566,589,600,601,604,606,610,617,630,635,650,654,659,668,672,682,695,700,703,750,767,768,770,774,777,806,814,818,819,824,833,835,850,852,883,889,891,917,919,930,931,932,937,941,963,970,972,982,986,1000], % 631
[5,7,18,84,85,86,115,134,137,140,141,143,145,148,169,176,177,203,206,214,218,221,229,240,241,246,265,282,283,294,296,305,308,310,312,324,325,326,329,338,342,343,353,377,378,383,398,409,414,433,453,477,478,494,496,500,522,524,529,540,541,587,593,601,604,607,614,627,674,675,682,684,691,706,713,731,733,759,774,785,792,796,806,816,827,843,846,856,875,877,878,882,892,906,910,920,921,925,926,940,941,948,950,960,962,963,979,980,983,1000], % 632
[3,5,18,28,31,46,95,99,115,122,135,141,148,150,155,166,182,186,197,210,300,310,316,318,323,327,336,337,340,342,347,348,352,355,356,357,358,394,412,425,443,444,451,455,476,481,486,490,494,513,525,551,561,571,579,603,629,668,669,672,699,705,713,722,728,735,751,755,769,770,784,788,797,800,801,802,815,818,820,822,830,837,840,842,843,849,882,897,913,924,926,941,951,959,965,973,980,985], % 633
[1,5,18,21,39,42,53,59,60,79,82,92,102,108,136,139,143,146,151,178,185,191,195,221,225,234,238,251,267,282,300,304,308,313,334,350,364,385,395,396,400,403,412,417,428,456,457,461,462,467,469,489,507,513,528,533,548,549,560,589,592,603,607,611,624,630,631,632,646,647,650,662,678,701,702,709,718,719,724,732,738,743,747,752,754,761,783,800,807,808,812,842,843,845,848,872,888,891,904,915,928,938,939,951], % 634
[1,3,6,11,14,44,46,62,73,75,89,99,100,115,120,126,127,128,147,151,153,156,158,159,167,173,194,199,201,208,221,225,239,246,256,265,283,306,328,330,356,370,372,388,392,400,412,413,416,426,435,437,464,467,484,490,504,509,517,535,545,559,562,579,595,598,601,605,617,636,642,672,680,689,702,707,719,720,726,733,754,762,764,766,767,772,775,790,844,846,877,880,884,904,905,911,915,916,922,923,940,952,953,959,965,969,973,985,997], % 635
[11,14,29,46,49,77,80,88,91,99,112,121,139,153,156,168,172,180,187,194,203,232,247,250,253,264,267,281,300,305,329,335,363,366,368,377,390,418,423,435,443,454,457,459,473,481,485,489,496,497,506,518,544,545,560,570,576,583,592,593,599,605,621,624,631,650,661,701,705,712,719,723,724,730,762,765,777,778,789,816,838,845,850,864,874,893,904,919,928,935,946,961,969,972,974,984,986,987,998], % 636
[7,16,21,53,69,90,91,111,126,132,139,147,148,205,223,224,229,259,263,273,276,282,292,317,324,326,328,332,339,350,352,384,393,400,423,435,438,448,455,459,464,479,494,499,511,519,530,543,548,562,566,568,570,572,576,583,588,597,600,631,645,648,662,684,685,700,704,708,721,747,768,770,774,790,813,827,834,842,887,889,901,919,923,944,977,978,982,993,996], % 637
[11,17,19,48,59,73,94,116,121,135,136,137,142,155,156,161,181,189,190,191,200,206,212,215,225,240,246,259,261,262,267,290,307,316,347,353,364,371,373,394,395,433,435,440,452,458,459,467,468,474,483,485,486,488,496,499,517,530,540,541,548,553,555,556,563,583,584,585,588,594,596,600,616,619,624,625,631,636,648,660,679,684,691,695,696,708,721,724,739,744,747,748,750,759,778,779,787,797,809,817,819,851,857,875,878,882,892,900,909,912,933,934,943,970,975], % 638
[11,29,32,62,66,67,77,83,92,106,125,127,130,134,156,158,160,168,175,176,193,195,200,219,221,224,229,245,253,274,281,303,310,318,320,330,343,350,352,358,366,383,384,389,403,415,418,423,430,437,440,441,443,475,477,481,486,515,518,520,525,533,537,549,562,570,573,575,581,583,586,590,594,601,602,609,649,655,658,674,686,687,693,694,695,700,721,727,737,750,752,753,754,757,760,791,795,797,821,828,841,853,872,876,889,890,891,896,921,935,943,949,950,965,983], % 639
[29,42,46,78,81,115,120,126,130,161,189,190,194,206,212,213,216,217,221,237,247,251,258,260,262,295,297,299,302,307,320,332,343,363,404,409,442,448,460,514,516,517,528,529,540,551,570,573,574,577,633,665,676,682,703,714,735,738,748,751,753,757,779,781,786,791,798,808,830,832,846,853,857,873,892,895,910,917,948,956,969,976,982,983,993,999], % 640
[3,28,35,55,86,93,94,102,107,115,118,126,128,147,157,162,164,166,170,179,187,192,215,228,231,232,292,294,319,346,353,360,392,393,399,401,404,435,437,438,440,443,445,447,449,456,465,466,470,471,472,475,495,497,498,525,539,540,553,558,560,565,570,574,575,583,606,607,621,627,634,637,651,656,665,671,696,699,701,719,725,747,780,799,809,812,838,840,850,876,878,887,889,896,903,905,910,919,930,934,957,966,977], % 641
[1,6,20,36,39,54,57,77,100,107,109,142,153,157,167,181,185,186,192,203,204,232,244,263,265,276,282,284,293,301,319,320,332,366,374,389,409,413,424,426,449,473,479,495,528,551,552,554,568,571,577,578,599,612,632,647,650,663,665,667,669,678,729,730,753,760,761,766,772,774,778,800,812,827,830,843,849,865,868,888,891,893,908,914,915,929,930,951,952,964,980,981], % 642
[6,8,19,24,35,42,73,88,97,105,107,122,125,153,163,169,186,209,236,244,251,262,266,274,278,279,288,291,293,306,342,349,352,380,388,402,411,412,429,431,464,467,468,470,499,507,508,530,533,562,563,569,578,590,591,593,595,623,630,642,663,664,669,671,712,719,743,755,758,766,769,770,803,804,805,807,814,818,825,829,838,851,861,881,885,891,892,894,900,910,911,912,914,932,942,964,972,982,985,991,992,995,998,999], % 643
[5,7,8,17,19,20,23,25,28,43,66,73,88,89,91,97,99,111,116,123,207,208,209,211,253,268,274,277,286,296,297,305,324,333,347,363,377,379,380,416,424,427,455,462,465,477,492,502,518,542,546,547,568,590,597,605,612,615,621,629,653,676,681,682,699,707,714,727,734,736,744,799,802,804,805,807,809,820,825,842,856,861,869,879,883,900,901,902,917,918,928,944,966,976,978,980,999,1000], % 644
[2,5,6,15,31,42,47,51,53,57,64,69,88,89,90,100,132,139,140,141,145,162,163,181,186,197,199,200,212,217,223,240,273,300,301,311,318,353,359,394,398,405,423,447,464,468,482,483,484,503,507,518,574,576,577,604,605,610,624,628,632,651,658,672,673,674,678,682,692,693,700,720,743,758,775,785,786,792,793,794,807,808,814,829,835,841,858,859,871,889,895,897,904,907,924,927,936,949,952,958,974,979,980], % 645
[1,6,10,35,38,45,56,89,92,103,117,135,141,160,168,184,192,193,194,195,204,214,218,219,253,254,266,273,282,302,328,329,334,361,367,372,384,385,388,408,442,445,482,484,486,497,501,507,513,534,553,554,562,566,568,572,577,582,588,598,603,608,628,633,634,635,637,641,665,672,680,689,693,699,704,705,715,721,742,755,759,782,791,799,812,854,862,871,876,881,885,891,893,900,907,908,909,919,926,942,947,969,970,976,978,980], % 646
[24,37,42,46,56,66,73,93,96,130,137,159,174,181,186,209,211,219,228,243,246,263,265,270,271,279,294,297,310,317,324,337,373,384,385,414,420,422,431,453,460,461,477,479,487,497,505,516,521,524,532,537,572,597,601,604,608,632,646,660,675,680,686,687,694,697,705,713,718,727,755,774,793,795,803,814,827,851,853,857,863,882,884,895,905,914,922,930,933,953,957,982,986,991], % 647
[4,6,8,16,25,43,50,59,61,70,83,86,88,103,108,114,122,129,142,172,184,185,194,196,200,209,213,220,240,266,271,278,281,286,289,293,297,299,307,314,337,338,344,352,353,356,364,368,383,388,404,412,429,459,460,468,475,532,543,552,555,589,614,618,642,646,647,654,669,680,683,684,691,694,726,730,741,749,756,759,760,776,796,811,818,820,828,833,835,838,856,873,883,886,891,896,903,915,944,950,963,973,977,980,995], % 648
[16,20,67,72,90,92,95,121,127,136,154,155,172,176,179,191,192,205,228,235,240,241,255,280,283,286,290,312,323,330,334,362,366,368,379,384,391,395,397,398,404,416,424,449,457,469,480,482,500,520,521,525,529,543,557,558,566,568,569,571,586,597,600,601,611,623,631,640,644,664,669,670,671,676,678,695,707,718,725,727,729,730,744,745,752,764,767,775,782,789,798,828,829,834,840,852,856,860,863,871,890,892,898,899,901,906,912,913,922,943,946,952,959,967,972,982,983,986], % 649
[2,5,9,19,20,29,52,67,69,82,97,104,110,123,127,133,141,148,151,157,166,191,212,217,225,235,271,275,285,293,294,295,297,311,321,329,334,359,364,369,373,396,415,421,426,428,440,444,445,449,458,478,484,486,487,490,505,506,545,550,557,576,577,578,583,590,592,604,607,613,614,626,643,664,703,710,715,727,744,753,760,763,764,765,804,807,811,823,831,845,860,866,868,872,880,910,915,920,930,931,953,965,969,972,992], % 650
[9,14,37,44,50,72,76,77,81,99,118,121,128,130,140,141,144,149,157,160,164,194,202,204,222,225,228,250,255,260,268,271,289,306,321,326,347,348,366,373,397,404,405,415,433,437,462,492,527,530,532,535,538,542,555,564,585,587,592,593,595,596,600,620,632,642,650,654,661,665,677,678,684,686,687,699,708,731,761,765,768,769,772,782,786,788,789,791,793,808,815,838,854,858,873,882,913,930,947,948,952,955,961,981,986], % 651
[3,27,37,45,62,66,78,80,82,85,86,102,116,131,132,144,146,147,151,217,232,236,294,309,311,324,326,335,341,344,360,403,405,406,416,432,442,455,458,466,476,479,480,484,491,494,499,500,506,513,525,538,545,583,588,591,592,597,608,620,633,656,684,708,710,718,722,724,729,737,739,749,753,771,784,789,802,808,812,824,831,839,846,852,860,863,882,889,890,892,893,898,900,907,929,931,932,944,961,964,975,978,983,1000], % 652
[3,6,24,36,37,41,48,50,76,78,84,108,114,124,125,133,171,191,193,196,197,200,208,213,221,229,230,239,240,241,246,252,257,258,264,267,290,295,300,317,325,347,368,379,389,394,402,414,419,424,426,434,437,472,474,488,496,509,519,520,538,551,557,591,592,594,600,618,619,621,626,635,648,654,657,676,681,686,702,722,727,729,731,738,762,764,767,777,781,792,826,827,842,850,854,863,879,905,922,940,944,950,964], % 653
[20,24,27,50,55,58,60,74,84,90,92,97,101,103,105,147,150,157,175,200,211,220,229,232,233,234,250,258,282,299,309,317,335,338,339,343,348,367,377,383,395,431,434,441,443,447,448,449,464,469,482,521,545,549,576,588,626,631,632,637,640,642,647,653,658,660,665,666,675,679,695,698,704,712,715,730,731,738,791,799,813,815,842,843,846,862,870,900,904,925,933,955,974,983,999], % 654
[2,5,12,17,40,73,80,81,89,90,94,116,117,130,131,142,159,164,180,194,220,221,224,247,254,255,257,260,275,278,283,302,315,316,354,355,362,364,366,369,382,402,410,421,428,445,460,469,471,481,484,495,504,511,530,534,542,559,561,566,568,575,577,579,590,613,615,624,629,641,652,653,668,672,679,685,690,693,697,698,729,739,744,749,796,802,828,841,845,849,860,866,867,881,892,894,905,919,925,927,941,948,957,964,973,987,994,997], % 655
[4,6,14,16,24,32,38,46,47,48,76,86,96,111,119,123,126,131,141,154,161,162,169,182,190,201,202,221,227,229,231,233,241,253,266,268,277,283,286,300,303,306,316,320,326,335,349,359,383,392,393,398,409,419,435,440,463,481,484,492,501,502,506,528,533,541,557,577,600,606,608,635,646,655,670,678,680,681,683,692,693,702,706,724,742,744,745,791,802,836,852,865,868,873,897,912,919,923,932,939,969,978,994,998,999], % 656
[2,10,11,28,48,56,65,99,104,143,153,157,160,172,181,196,204,216,218,230,238,241,243,274,282,292,298,318,348,354,355,372,374,396,411,412,418,425,432,435,453,489,491,500,504,514,522,526,534,585,611,615,628,636,646,649,666,691,694,705,708,709,737,745,764,769,770,772,796,819,842,848,861,865,871,902,907,912,925,936,947,954,959,987,997], % 657
[7,19,35,37,43,58,81,82,83,111,127,128,137,139,159,165,169,196,202,227,228,237,259,262,268,280,284,296,298,306,307,309,316,333,339,348,367,370,407,420,430,451,462,471,480,500,510,522,525,539,553,578,605,631,649,652,707,709,717,718,723,728,735,741,753,766,780,783,794,795,815,823,850,870,874,879,887,889,906,909,914,926,951,955,958,972,973,980,994,995,1000], % 658
[11,13,47,57,84,87,89,94,99,127,132,143,150,151,154,165,167,182,184,185,197,199,210,222,235,239,247,249,252,260,263,266,293,297,305,339,344,345,347,352,354,355,378,382,385,387,400,418,423,424,432,435,450,462,463,465,472,473,483,484,495,496,510,519,521,529,530,538,541,543,553,568,583,587,607,613,629,638,641,660,681,702,713,722,724,726,730,753,759,764,790,800,805,845,847,848,859,867,869,874,877,884,886,906,913,922,940,961,987,989,990,996,999], % 659
[12,13,20,24,27,40,43,55,83,86,87,99,111,112,119,120,132,136,139,144,150,166,168,173,178,188,196,202,205,217,220,230,233,238,241,245,255,275,282,284,286,289,297,301,305,315,319,321,325,333,338,355,365,405,462,476,477,485,501,502,516,518,587,588,597,608,623,624,625,628,639,661,671,672,680,690,709,736,745,749,753,759,778,787,796,800,803,804,809,810,843,889,891,915,927,934,938,966,969,977,979,980], % 660
[15,31,35,38,46,57,59,70,72,92,104,117,119,127,140,143,153,164,166,172,177,196,209,211,223,235,260,273,288,303,351,358,360,379,395,403,407,413,432,438,446,448,462,489,495,515,516,529,536,542,557,562,565,569,572,575,587,598,599,623,627,628,630,643,646,650,681,688,724,733,740,754,778,785,789,790,809,868,870,878,884,890,897,910,925,927,948,963,970,971,972,974,975,985,994,996], % 661
[11,16,20,22,24,33,37,40,46,66,73,78,84,101,119,138,153,157,166,184,188,215,222,230,259,272,274,275,277,284,299,311,325,336,341,343,354,374,376,385,388,397,402,416,431,436,450,451,456,482,485,505,518,528,534,561,564,565,568,573,582,602,607,613,637,643,651,661,701,704,726,745,755,760,761,764,771,772,790,791,825,838,841,850,860,873,879,885,898,900,901,915,919,946,948,951,980,984,985,986,998,1000], % 662
[7,14,15,35,55,68,71,81,83,107,112,117,118,132,137,156,168,174,179,184,185,207,223,226,249,251,261,268,277,283,293,297,328,341,366,369,380,382,396,398,399,403,416,425,433,459,468,483,493,495,502,504,530,536,537,547,552,571,581,599,600,602,606,620,627,643,652,664,672,678,688,690,728,741,742,745,747,751,772,774,784,786,792,808,820,829,838,839,855,882,885,899,914,917,939,941,967,969,973,983,984,986,993,1000], % 663
[31,40,42,50,57,70,72,74,77,88,114,126,137,155,156,166,171,173,176,180,189,190,192,193,194,205,207,217,221,228,252,260,267,270,283,287,297,299,302,303,305,309,338,341,364,369,372,380,393,399,407,416,422,425,435,456,458,471,473,480,490,507,513,543,563,566,568,574,580,599,601,611,622,636,653,669,699,722,723,758,761,789,793,801,805,824,833,838,839,851,862,878,881,884,887,909,922,935,944,965,980], % 664
[13,18,19,21,29,31,59,81,87,88,92,98,113,168,171,203,204,207,211,213,221,235,237,266,269,276,305,309,321,324,331,333,348,392,411,426,442,451,455,458,461,463,479,491,501,503,504,513,515,526,531,534,543,546,547,561,572,579,591,601,610,611,613,627,641,644,648,661,664,667,676,677,685,703,704,721,728,737,742,748,759,762,785,791,806,809,814,821,832,867,879,880,896,902,903,923,925,938,941,950,959,968,975,985,991,993], % 665
[27,28,29,30,35,38,42,50,64,73,87,90,97,100,105,108,115,126,127,156,173,186,197,199,216,236,237,240,262,267,276,281,286,289,299,306,325,333,344,362,365,373,374,388,398,417,427,436,441,471,486,499,503,506,511,515,544,545,553,561,588,593,594,602,604,605,618,670,671,674,681,687,689,691,696,701,706,707,714,716,721,731,751,793,817,831,857,871,875,878,892,903,906,909,928,935,953,958,969,977,981,989,991,995], % 666
[12,15,34,40,46,52,67,68,79,87,88,95,101,114,116,129,148,152,166,170,214,256,266,271,274,275,304,313,339,359,360,361,364,381,390,397,401,405,413,416,425,435,438,447,501,506,510,515,524,533,554,555,557,559,591,598,602,624,625,626,629,632,647,651,658,660,664,718,724,728,756,767,768,771,783,797,806,811,830,880,891,899,906,931,934,952,953,984], % 667
[20,28,59,60,61,68,71,83,100,109,113,118,124,127,137,170,174,180,181,183,201,210,216,219,226,228,234,240,264,270,293,296,309,313,318,321,364,367,373,374,377,386,392,403,416,435,436,445,450,454,489,497,512,517,519,529,569,597,636,653,656,661,675,677,689,711,720,729,736,769,770,779,787,803,821,830,853,854,862,864,868,882,893,903,918,919,940,946,951,953,954,979,985,988,993,997], % 668
[11,15,37,38,47,71,79,84,85,105,150,164,176,185,186,208,212,218,223,224,231,247,257,261,262,270,273,276,280,283,294,300,315,325,332,336,338,351,373,389,392,399,418,421,423,427,430,446,459,462,466,470,472,478,485,497,505,512,514,521,541,548,572,592,598,610,626,632,644,672,673,680,684,705,710,724,727,730,736,742,744,758,762,773,777,779,783,805,807,811,818,830,838,841,858,875,891,906,908,925,943,946,958,960,962,977,980,995], % 669
[12,31,32,35,55,58,59,69,70,100,101,147,156,157,186,210,237,252,259,285,295,304,318,328,332,333,335,343,346,347,357,388,394,412,414,424,428,435,436,461,468,494,499,502,509,518,523,534,541,570,574,577,578,589,596,600,608,634,639,653,660,663,686,707,711,716,717,731,736,742,750,755,765,793,813,816,842,847,854,871,878,879,887,895,901,916,937,950,952,960,978,980,984], % 670
[9,30,42,44,52,56,68,73,89,103,104,145,156,159,170,175,176,186,226,235,241,252,263,272,286,293,315,319,340,347,362,363,368,371,377,381,383,392,394,424,428,430,455,457,479,501,507,511,516,536,544,551,565,570,604,608,619,640,647,657,667,680,691,701,719,722,723,727,735,744,746,748,751,755,758,764,767,768,771,786,797,803,815,844,875,876,885,888,902,908,919,925,927,928,931,936,967,972,983,994], % 671
[2,7,8,9,13,14,20,28,41,43,50,52,64,68,79,87,95,100,129,139,141,160,182,206,214,241,252,257,273,276,314,316,317,323,339,368,381,409,455,473,505,516,536,557,558,567,572,574,582,585,607,611,628,637,647,684,693,695,723,731,778,802,803,808,809,813,831,837,840,841,854,859,865,868,880,891,892,916,919,925,929,939,958,973,974,994], % 672
[3,9,14,19,24,26,28,41,42,60,64,69,82,91,106,116,119,135,146,154,155,162,183,200,218,219,235,243,268,270,271,292,311,315,329,330,335,352,355,358,377,414,415,422,423,424,429,442,455,461,468,475,505,512,514,520,534,538,545,547,560,575,578,583,588,607,644,663,674,675,684,685,698,701,722,727,735,744,745,746,750,756,760,767,778,789,795,808,837,842,857,858,862,864,885,923,949,969,977,991,997,1000], % 673
[12,21,24,39,62,82,84,85,86,88,92,112,118,141,158,162,168,191,193,203,207,211,221,224,227,239,245,251,262,283,294,343,354,386,388,390,394,405,415,427,441,447,451,465,468,474,481,486,487,488,511,521,530,535,537,557,558,594,606,624,625,635,645,660,672,677,680,685,713,720,724,725,730,732,735,748,766,774,781,782,798,799,802,807,823,827,840,848,850,861,867,878,896,903,936,941,965,983,993], % 674
[3,21,42,51,53,62,78,86,94,100,102,122,149,206,223,224,225,230,268,285,301,315,331,366,382,386,387,403,416,437,445,446,447,462,465,470,478,479,480,517,529,551,562,567,569,570,582,586,595,618,619,638,655,661,666,686,697,701,707,714,716,721,736,751,774,781,785,787,813,814,823,831,833,834,838,845,859,869,870,874,876,905,914,942,968,983,986], % 675
[12,18,24,41,63,72,86,117,119,133,141,144,147,154,179,183,193,194,221,226,232,255,274,282,286,290,293,308,311,334,352,355,364,374,377,378,397,447,455,461,472,480,487,488,489,499,503,523,525,542,548,550,556,559,561,563,566,578,579,622,624,635,646,647,649,653,672,675,681,688,717,720,726,731,740,753,773,777,780,781,806,819,848,874,885,895,904,915,917,919,925,926,930,931,947,954,969,970,974,982,997], % 676
[2,4,6,19,56,58,60,65,66,72,81,115,117,137,151,153,154,155,167,180,193,196,198,203,211,222,234,237,240,251,257,268,278,281,289,297,306,309,312,327,328,342,343,344,348,354,366,392,396,424,430,435,438,453,461,462,468,536,560,564,565,577,589,613,636,640,642,657,663,665,674,676,679,689,693,694,726,733,739,744,746,756,767,785,793,794,825,832,857,858,859,875,888,936,993,994,996], % 677
[2,13,55,57,64,77,83,99,109,115,116,136,137,138,154,175,179,182,197,216,218,223,242,248,249,254,262,266,274,283,285,298,303,323,326,329,330,335,355,359,366,382,390,395,420,423,431,433,438,452,459,470,475,480,504,524,568,570,583,586,611,633,634,640,649,653,663,666,670,686,701,704,711,724,729,739,747,753,758,760,781,798,807,815,817,822,837,838,857,869,875,877,879,889,892,914,930,932,952,960,965,967,970,973,979,1000], % 678
[15,32,33,41,59,79,86,109,138,140,143,145,148,163,167,177,202,217,230,251,254,271,282,288,291,300,302,308,310,321,323,327,332,336,346,349,366,373,385,387,390,398,417,427,453,478,479,483,488,501,507,510,515,521,523,529,547,551,573,594,597,599,619,628,629,635,677,699,701,723,724,728,750,751,755,801,833,841,854,862,863,887,896,951,957,976,978,984,996,1000], % 679
[8,31,44,47,59,62,69,72,78,85,106,112,123,126,130,134,137,145,149,151,152,168,175,197,225,227,242,265,312,322,326,328,330,334,335,374,381,382,389,395,399,402,404,409,427,435,461,475,476,484,493,513,517,531,532,535,542,584,593,595,602,606,616,624,625,659,675,676,678,682,702,743,762,773,780,789,797,812,822,845,852,853,854,875,886,895,907,926,927,960,980,982,999], % 680
[2,7,18,21,33,35,39,46,63,93,103,108,115,148,161,169,174,177,185,191,227,242,243,252,264,265,288,295,303,321,327,328,331,338,343,347,348,350,363,377,379,380,390,406,407,411,424,429,448,453,456,470,483,484,487,497,511,529,531,536,539,542,554,563,566,571,580,584,595,624,630,643,647,661,662,665,679,683,700,701,716,717,726,737,744,750,752,760,763,764,776,781,789,797,818,839,842,843,881,897,902,916,923,925,931,938,941,950,957,960,966,975], % 681
[14,17,27,44,60,62,81,86,99,100,112,134,144,145,158,159,161,177,180,196,209,221,227,230,231,234,254,263,283,298,301,311,322,332,336,342,343,346,366,375,383,394,403,404,421,429,430,459,462,465,482,494,521,536,549,570,584,598,606,623,645,671,673,681,688,745,757,793,794,795,799,812,817,819,843,874,901,902,917,922,923,929,940,956,960,964,977,986,988,992,996], % 682
[19,30,39,50,52,57,65,73,94,98,100,101,105,112,131,142,146,151,160,169,171,174,176,183,185,193,197,201,227,228,236,242,258,270,275,278,284,287,301,304,305,306,308,329,340,345,348,350,351,364,385,387,408,414,415,436,440,470,472,488,500,515,521,539,541,560,578,610,611,638,643,661,672,684,685,694,698,703,710,732,735,745,746,755,759,778,787,797,813,842,844,845,848,861,863,880,892,895,899,920,928,932,938,939,968,970,995], % 683
[7,13,21,34,56,61,66,70,72,75,77,78,95,102,117,123,130,147,163,188,193,198,203,209,215,235,250,252,268,269,280,294,297,304,311,319,330,348,352,353,355,359,367,368,406,413,447,456,462,483,484,491,506,535,540,542,546,558,566,578,594,609,613,624,641,642,663,665,670,671,680,687,703,710,716,734,754,788,792,793,798,820,834,835,836,847,849,860,880,883,887,902,913,959,970,973,975,976,985,988,993], % 684
[2,8,40,53,59,62,72,78,89,110,113,114,128,140,153,155,161,197,203,207,218,231,234,240,271,279,289,293,322,323,362,364,380,384,388,389,417,419,427,430,449,460,465,468,474,536,548,549,557,574,577,581,587,594,595,596,598,608,626,639,643,649,657,676,700,714,733,764,770,776,781,797,809,824,828,840,850,854,856,862,865,871,888,898,929,931,940,955,959,961,974,984,991,994,996], % 685
[30,40,61,66,67,71,75,84,90,91,110,115,124,125,147,161,176,195,208,214,223,232,237,241,255,262,264,268,278,280,287,357,379,393,394,398,400,411,416,431,433,438,448,449,450,470,474,477,490,505,515,520,530,557,582,585,589,609,630,634,637,646,656,671,676,685,690,695,697,705,708,719,723,725,726,737,748,762,777,791,796,806,816,821,843,851,856,858,869,870,875,894,909,913,921,926,931,939,948,956,969,974,990], % 686
[17,26,31,75,83,89,102,108,115,146,149,157,180,181,184,214,230,268,269,280,289,292,293,301,330,343,373,377,379,403,423,434,449,460,487,490,504,507,540,543,544,548,553,558,585,593,608,618,622,632,641,642,654,655,685,701,705,706,709,712,718,722,723,734,748,758,789,791,797,808,834,840,844,846,849,852,885,893,898,906,921,923,939,940,945,976,988,996], % 687
[8,11,15,16,23,30,37,41,62,95,117,118,130,137,149,151,162,167,186,191,214,220,248,249,251,258,278,287,325,327,328,335,337,362,366,372,394,405,420,429,464,481,487,504,516,524,525,542,545,560,574,576,583,585,592,610,624,629,636,641,647,660,661,674,716,717,731,739,755,767,768,777,792,815,836,851,858,860,872,874,897,912,926,936,938,944,948,956,965,973,980,995], % 688
[5,16,26,36,83,86,87,91,108,122,141,163,170,187,203,214,223,226,237,240,244,247,249,255,264,276,290,298,300,302,320,329,334,357,364,369,372,383,398,404,409,416,441,442,450,454,466,470,475,485,487,495,505,508,513,531,533,547,571,587,594,598,606,622,625,633,634,639,650,656,677,679,697,698,719,722,724,731,735,739,755,757,764,787,802,811,814,815,817,826,853,916,924,943,966,975,981,986], % 689
[11,36,53,62,67,78,89,113,116,118,129,136,142,156,167,199,208,211,212,215,227,232,253,258,260,263,268,271,274,293,305,311,318,321,322,327,332,368,382,383,389,396,400,410,417,418,424,439,450,457,467,471,481,482,494,503,504,520,523,525,532,543,546,553,563,566,650,658,677,681,702,709,723,733,739,745,747,762,785,793,797,816,824,834,841,847,852,857,870,882,892,896,912,923,945,958,967,972,986,996,998], % 690
[1,2,3,16,27,31,35,46,53,63,65,70,90,99,138,156,181,187,189,193,197,219,223,242,249,257,266,270,293,294,319,323,337,367,398,408,411,415,418,420,434,443,453,469,482,490,496,532,533,553,568,602,604,606,615,616,617,634,638,660,668,671,683,711,742,743,752,756,763,765,768,776,779,783,785,802,817,822,834,849,859,867,885,886,894,895,919,942,949,951,975,976,985,997], % 691
[18,32,45,55,70,76,77,83,92,97,112,118,134,144,145,147,152,154,159,162,194,197,219,239,247,248,259,273,276,306,331,372,376,378,382,384,386,425,446,474,488,497,500,501,510,529,531,551,554,563,566,572,585,593,594,600,607,614,616,630,652,657,675,690,696,713,722,730,750,759,763,772,775,785,789,802,805,809,812,836,837,861,864,882,897,910,923,930,938,943,944,952,971,977,981,987,996], % 692
[3,8,17,29,31,37,41,43,44,49,63,65,74,105,139,162,165,180,204,214,217,221,222,235,236,238,240,242,243,254,260,268,275,280,291,292,306,309,317,320,341,359,366,374,411,414,418,438,442,453,469,474,498,512,514,531,541,548,557,568,603,609,621,642,650,652,660,663,666,670,702,712,728,730,743,752,766,789,792,793,796,807,819,820,824,829,833,837,856,859,863,870,872,879,881,885,889,905,913,920,923,935,951,953,975,978,988,993], % 693
[11,22,30,38,41,61,64,79,81,98,105,115,117,131,133,161,205,213,218,223,224,230,241,244,260,270,279,286,289,295,297,319,322,338,341,345,350,351,373,383,392,431,435,441,452,455,473,481,502,515,524,531,532,542,545,584,585,587,591,595,602,611,639,648,653,687,693,697,719,734,742,743,757,764,768,774,781,785,790,801,807,821,833,848,865,867,877,882,904,906,920,928,935,946,967,977,991], % 694
[26,39,47,63,69,70,79,85,100,101,103,105,107,108,115,121,122,132,156,161,164,178,185,198,204,222,225,229,238,242,267,281,307,316,339,345,347,350,358,360,361,366,374,396,412,421,427,434,438,465,485,486,487,489,497,499,514,520,539,540,547,554,570,576,577,578,585,595,615,620,641,650,660,661,681,685,687,714,718,723,735,748,756,762,763,767,792,797,805,830,839,864,886,902,914,917,921,928,929,931,940,947,948,949,971,972,976,982], % 695
[8,12,17,18,19,27,30,34,44,59,78,79,103,106,117,133,134,141,146,156,167,180,185,189,192,193,221,240,245,249,272,287,311,319,328,334,347,351,355,372,388,395,397,401,404,452,461,466,471,475,499,508,529,537,538,548,575,596,597,600,607,631,632,637,665,685,686,691,692,700,723,733,736,747,769,786,795,802,811,816,821,825,836,850,861,862,863,874,875,876,882,895,912,916,929,935,936,937,946,964,967,968,973,976,977], % 696
[1,11,19,34,62,63,80,92,99,108,125,142,151,153,186,192,197,203,223,229,232,241,242,245,260,262,263,299,304,305,330,343,369,375,380,384,399,415,424,429,449,466,469,494,507,518,529,535,537,554,555,566,570,574,611,612,620,654,665,691,692,710,730,773,778,779,782,792,793,796,803,809,820,836,841,843,847,866,874,893,911,921,932,934,947,959,963,976,978,986,988,993], % 697
[26,27,50,75,77,78,79,95,98,108,112,119,120,131,132,143,155,164,180,199,214,216,233,238,242,247,252,260,264,267,281,287,288,289,295,299,302,310,312,318,328,344,347,351,352,355,358,359,371,401,402,413,421,427,437,438,457,479,483,499,504,507,511,526,556,561,563,573,576,581,614,620,621,627,628,648,655,659,665,674,681,690,708,709,711,712,713,720,727,740,743,749,754,764,770,787,803,808,813,815,818,836,861,863,868,883,885,894,903,908,915,922,931,934,944,946,971,978,980,996], % 698
[1,7,12,18,21,27,32,36,40,45,52,63,71,78,80,96,134,142,161,178,184,195,203,208,221,226,245,253,260,274,308,311,325,352,356,357,383,384,396,406,412,418,473,476,502,530,532,533,539,570,589,632,634,647,655,667,673,681,697,740,742,745,747,751,753,758,760,766,771,782,784,791,807,810,819,848,864,882,883,884,891,907,912,917,926,944,971,979,984], % 699
[1,29,30,47,52,72,78,85,87,98,115,125,126,127,133,142,154,165,169,172,175,180,190,192,196,200,202,228,233,249,256,258,266,274,287,291,294,305,325,349,354,358,359,361,363,385,400,406,417,420,471,476,479,481,485,499,504,520,541,543,545,548,553,565,566,574,586,587,596,597,601,610,615,618,627,639,641,643,648,658,678,689,709,722,745,746,757,772,777,794,799,812,813,818,819,821,824,832,881,913,923,933,940,946,955,981,998], % 700
[11,21,28,45,48,53,56,66,67,95,117,149,156,171,192,193,204,225,227,233,242,251,265,282,292,315,319,323,344,352,355,358,367,371,373,375,396,402,423,424,435,444,458,464,465,474,504,505,508,537,575,587,588,593,594,599,600,601,613,614,620,640,647,665,671,690,694,706,722,736,753,759,762,779,804,814,823,827,843,846,847,852,860,862,863,875,894,919,939,947,951,966,978], % 701
[29,32,38,44,46,49,55,56,75,76,84,124,136,147,163,175,188,190,195,196,216,243,249,268,271,277,283,286,294,300,302,303,312,313,331,342,360,368,370,373,374,386,397,405,406,407,413,419,425,428,429,431,434,437,441,452,477,478,493,497,500,511,515,518,519,529,535,537,542,544,545,550,559,568,584,585,586,613,619,623,629,642,646,651,652,656,666,676,680,687,688,689,692,695,707,712,716,742,746,748,753,766,769,771,775,797,801,803,818,841,851,854,856,872,874,886,887,888,893,905,910,926,932,940,950,951,956,968,980,988,993,997], % 702
[10,38,49,65,66,86,87,118,121,170,179,186,200,201,208,213,239,241,245,274,289,306,312,315,323,341,345,356,369,406,427,428,436,448,450,460,470,483,488,497,498,507,519,552,558,566,570,573,576,578,584,587,609,622,623,635,653,661,670,678,687,690,693,701,713,715,728,761,777,781,784,791,831,834,846,874,886,909,924,939,958,979,995], % 703
[2,8,16,41,44,50,57,79,81,82,85,92,111,112,116,118,119,140,143,149,172,175,205,210,216,231,246,256,260,266,268,275,276,288,293,297,307,309,311,330,334,337,348,377,385,396,420,431,435,438,442,445,458,466,485,492,500,503,508,528,540,542,547,568,579,584,588,589,594,596,621,629,641,655,660,667,672,685,702,708,716,731,748,750,762,765,780,783,813,820,832,834,835,836,853,859,901,904,909,921,929,951,955,964,982,984,987,988,1000], % 704
[14,22,27,32,34,38,39,46,73,88,95,100,105,110,125,130,148,150,175,181,197,216,238,241,245,257,260,269,281,282,286,305,308,323,355,356,385,387,388,390,421,438,441,454,460,464,471,493,526,549,552,556,557,560,583,587,594,601,606,609,614,641,650,674,689,692,713,714,715,716,718,737,742,747,755,758,765,803,814,819,821,827,832,842,857,866,900,912,917,931,945,948,952,955,971,973,986], % 705
[3,10,12,16,34,54,61,71,85,98,104,114,116,118,125,150,157,164,215,219,220,222,226,227,240,243,267,269,281,289,290,302,309,323,327,335,344,346,347,363,387,388,390,399,420,434,456,466,469,477,492,495,501,519,521,530,538,569,579,594,597,618,624,626,632,638,647,658,664,670,734,740,755,757,758,774,777,786,788,802,825,842,853,857,865,875,877,883,890,905,910,928,939,944,947,955,965,987], % 706
[17,18,25,32,40,51,65,72,77,80,82,92,97,101,102,109,116,117,124,154,191,203,239,251,268,271,277,289,297,318,319,320,334,343,348,355,366,411,424,428,430,436,462,464,471,483,493,498,542,569,606,611,618,626,629,647,655,688,689,713,722,728,750,790,796,803,805,825,832,840,861,873,875,887,908,913,924,927,931,937,939,950,954,960,979,982,987,992], % 707
[23,58,75,90,91,106,107,110,112,115,125,133,145,146,153,167,178,186,197,202,207,212,213,221,229,236,248,265,274,280,290,293,294,300,304,343,345,348,358,370,375,399,400,401,413,417,426,428,439,444,449,469,470,473,484,486,492,514,519,520,523,546,564,570,572,575,586,598,608,633,640,662,686,689,693,699,727,734,747,758,765,795,807,810,811,824,830,847,852,853,857,859,897,917,918,925,928,940,956,957,965,979,993,995], % 708
[25,29,40,58,62,68,74,79,89,90,109,120,147,148,149,162,165,166,170,182,201,206,234,237,253,261,267,272,299,323,332,336,350,365,387,397,422,461,470,472,474,487,510,514,547,549,554,557,559,566,569,573,574,575,588,592,601,605,609,612,613,616,623,632,642,653,661,667,670,672,677,681,724,726,730,741,753,754,771,773,777,787,797,799,800,807,812,818,851,861,871,877,882,896,901,902,917,925,934,940,982,994], % 709
[2,6,8,19,29,46,49,53,67,71,80,88,107,140,147,148,161,167,168,172,194,196,197,205,208,215,216,244,252,253,263,271,307,316,318,319,338,340,348,358,381,384,389,411,420,431,438,441,443,470,487,518,520,523,546,554,562,591,597,599,616,618,665,671,683,686,687,703,706,709,739,743,756,762,765,767,770,774,775,811,820,825,827,831,834,856,862,865,879,887,904,926,949,953,969], % 710
[2,7,21,39,40,48,49,77,81,84,92,96,104,111,113,144,149,157,175,177,180,184,202,225,230,231,245,251,255,257,267,275,311,321,327,358,374,382,409,447,459,472,504,506,526,528,531,537,540,552,563,568,569,610,621,643,649,662,680,695,697,700,704,714,737,740,747,749,789,797,802,824,825,830,840,842,847,861,864,868,879,882,883,889,892,915,918,921,923,939,943,944,952,958,961,962,967,973,990,994,996,998,999], % 711
[1,6,7,12,34,43,44,46,56,69,103,105,120,127,157,158,159,177,185,195,201,205,207,209,229,232,259,262,277,278,285,292,305,329,352,354,369,378,379,380,396,399,403,416,417,421,422,440,451,452,459,467,468,539,548,550,551,575,582,591,592,593,594,601,608,633,641,645,650,671,681,688,689,703,707,709,710,731,742,743,751,753,754,764,767,769,778,802,814,827,830,838,853,885,894,897,904,916,933,937,959,971,995,997], % 712
[8,13,16,29,31,46,55,58,68,71,74,82,114,115,121,165,176,191,194,208,216,217,228,238,272,275,285,295,305,316,330,332,339,344,361,373,377,378,404,415,440,457,487,496,512,520,522,526,542,546,561,570,572,576,580,600,620,624,630,633,637,654,661,671,679,695,706,715,730,745,759,768,776,797,800,801,808,814,824,831,836,841,847,872,885,886,891,904,907,922,924,929,930,931,950,955,958,961,975,994], % 713
[6,20,48,51,89,96,97,107,108,119,129,130,149,174,178,179,182,188,191,196,199,202,213,237,246,255,272,274,279,300,315,347,353,392,421,423,442,443,454,460,463,489,491,492,496,508,515,526,528,529,531,544,548,561,566,574,577,592,601,609,611,615,626,639,645,659,664,668,674,680,685,695,696,698,710,715,717,746,747,748,755,757,766,786,794,795,804,805,809,810,816,831,841,842,861,869,923,925,926,940,952,956,965,971], % 714
[3,16,27,35,67,69,85,91,93,98,103,131,135,160,164,196,200,202,212,222,242,267,272,273,280,287,348,349,362,368,380,403,405,406,415,417,428,433,441,446,447,449,457,471,475,481,484,493,496,531,535,538,573,577,615,639,653,656,671,676,683,697,705,729,733,739,742,749,761,762,766,770,794,796,806,812,816,828,831,851,867,870,887,888,901,904,908,924,929,963,970,975,977,984,993], % 715
[1,37,51,62,72,79,89,92,102,106,158,182,191,203,204,206,212,229,239,249,255,259,278,279,321,329,337,339,363,375,376,377,378,383,394,407,430,441,446,456,458,459,466,485,504,511,513,529,554,555,562,567,573,585,595,598,602,613,621,633,635,653,676,688,699,703,752,757,760,782,790,793,813,821,838,853,868,882,889,901,916,918,921,955,969,973,976,989], % 716
[4,5,6,7,11,12,17,20,39,45,60,64,77,82,95,99,116,124,136,143,147,173,204,214,225,226,233,239,243,256,263,264,269,282,285,291,302,303,342,348,359,361,373,376,377,381,397,398,421,424,454,463,489,491,498,512,519,522,531,539,555,559,562,578,585,595,621,625,636,658,676,692,694,697,702,712,772,797,800,807,809,811,842,849,885,923,927,944,975,991], % 717
[12,13,19,31,32,37,39,41,42,50,76,85,95,134,135,138,144,158,169,194,199,207,211,214,246,254,256,257,262,286,306,319,338,339,346,349,357,360,362,401,402,407,415,416,419,421,434,441,448,453,461,468,474,477,498,501,507,517,535,536,558,563,566,573,584,588,593,613,630,638,655,666,670,673,678,681,684,687,697,715,723,732,752,768,773,778,798,802,811,816,828,831,847,848,910,913,964,989,997,999], % 718
[17,21,28,29,33,45,46,55,69,80,82,87,90,95,105,108,112,120,138,154,163,167,168,170,181,188,198,199,200,209,214,222,228,246,251,260,263,265,266,269,280,320,328,331,337,363,365,368,372,411,415,433,437,448,471,473,483,485,493,517,523,528,531,536,544,547,567,568,574,578,586,623,626,638,652,656,696,705,708,746,747,758,794,801,803,828,834,835,836,841,848,865,868,870,884,886,897,905,907,922,927,930,932,937,945,949,952,954,957,981,982,989], % 719
[2,21,32,34,37,46,71,88,99,111,120,123,131,132,139,140,162,172,185,196,209,211,214,222,241,244,247,272,275,278,300,301,310,314,328,332,333,362,385,393,403,412,416,440,454,464,478,479,489,504,517,521,525,541,546,551,556,562,572,578,598,599,612,655,660,669,712,716,727,730,740,748,750,755,759,770,781,798,799,823,824,826,845,850,856,858,872,874,875,878,895,898,901,912,914,925,932,937,938,975,986,997,998], % 720
[1,6,8,20,25,26,37,44,48,72,74,78,93,101,108,120,128,142,152,156,159,166,175,183,205,216,223,235,237,239,249,259,269,275,282,285,294,299,304,311,312,337,346,358,368,375,380,389,419,423,426,427,455,463,465,468,470,485,488,499,511,514,516,519,523,536,545,570,579,590,593,600,604,606,628,644,667,669,671,689,723,734,738,748,749,757,762,763,771,772,773,784,797,817,850,854,883,885,895,905,911,921,933,961,995], % 721
[1,4,6,23,32,33,50,66,83,91,93,108,111,114,127,140,150,164,175,183,186,207,212,214,238,247,256,265,284,285,299,313,315,316,322,335,355,364,369,383,393,397,400,412,421,436,442,448,455,456,481,490,511,545,546,547,556,570,578,591,599,615,622,626,646,649,650,656,675,686,692,697,702,711,723,737,739,759,762,797,803,808,821,826,834,838,850,866,873,881,893,903,912,919,920,924,931,984,993,996,1000], % 722
[2,15,19,33,49,75,89,91,94,95,104,117,131,156,171,175,183,189,190,202,212,217,221,230,233,256,257,266,275,276,278,305,314,322,338,352,366,369,377,378,379,414,415,437,444,445,460,462,473,510,520,525,527,558,560,572,589,603,605,609,613,645,659,682,685,688,690,691,695,703,710,718,733,735,742,747,748,756,779,781,788,816,819,825,827,830,832,849,851,855,869,880,882,883,898,902,934,940,950,953,954,969,983,986,987,992,993], % 723
[1,29,31,32,43,49,56,88,92,99,101,105,110,112,126,130,131,137,139,144,146,159,160,171,172,195,196,203,204,210,232,237,265,275,295,298,306,311,326,344,353,361,378,396,399,421,430,444,463,485,489,496,526,527,538,558,561,567,580,581,583,586,593,597,607,622,637,646,649,696,708,710,713,720,721,722,729,738,754,756,762,769,772,785,787,788,791,793,795,801,808,809,816,820,825,826,844,846,853,858,861,863,877,893,903,911,924,937,943,945,954,959,961,967,971,975,989,990], % 724
[3,5,9,16,20,23,26,38,45,51,61,63,70,72,77,103,118,129,136,139,141,156,158,165,175,190,194,196,205,216,226,236,239,241,245,254,275,290,295,298,300,318,322,344,371,377,388,394,409,435,446,453,465,467,469,473,475,508,512,527,538,555,562,563,566,572,577,582,590,602,619,630,635,641,646,653,660,662,664,679,683,685,688,695,755,758,778,791,805,817,821,822,825,830,843,877,894,900,926,937,938,941,953,954,972,995], % 725
[13,28,47,83,86,131,137,141,146,155,164,174,176,178,189,213,219,222,250,272,275,330,343,362,408,420,445,454,474,483,489,500,504,505,524,542,543,546,553,559,565,566,590,600,601,603,613,623,628,629,630,633,648,662,666,689,714,748,757,761,768,774,822,831,834,863,867,885,916,918,920,930,939,942,978,988], % 726
[19,34,64,67,84,95,128,129,150,175,179,182,190,199,222,225,236,246,248,260,271,275,278,286,296,306,316,323,332,338,340,359,370,377,387,401,413,426,430,433,436,438,478,491,531,532,535,546,558,565,575,578,601,610,618,621,622,624,625,662,663,669,680,689,696,699,713,722,725,729,734,747,752,758,764,799,822,855,864,868,875,881,883,901,909,924,930,934,952,960,973,984,993], % 727
[4,27,37,41,43,59,68,73,107,119,135,175,176,193,197,200,205,232,247,268,312,341,354,370,376,382,389,424,438,448,456,480,488,494,500,502,503,510,523,538,547,548,561,564,566,573,578,593,597,601,610,615,622,624,633,666,679,683,694,698,700,720,726,743,781,783,797,802,805,813,828,838,854,866,871,876,881,891,893,895,900,927,929,934,937,941,952,971,972,985,994], % 728
[5,10,12,17,26,54,61,83,91,104,108,114,138,142,146,162,172,173,177,211,218,250,262,263,269,281,284,312,318,319,321,324,343,349,360,361,377,388,398,402,427,428,436,442,443,447,448,450,471,477,498,505,514,527,555,559,562,567,568,607,608,619,620,627,629,649,651,670,676,679,680,685,698,707,711,732,738,745,746,763,765,774,784,786,805,806,810,813,828,853,859,862,866,893,915,925,940,951,960,968,969,970,972,996], % 729
[4,9,31,39,54,57,59,64,85,101,110,113,135,138,141,149,162,176,179,194,199,200,208,211,212,215,249,251,257,264,282,288,297,300,305,337,341,351,360,363,367,384,388,408,409,410,421,426,428,430,433,436,450,455,465,471,479,482,484,492,509,510,515,524,529,535,536,540,549,561,564,571,595,600,602,603,604,606,616,620,644,684,686,693,727,735,737,741,750,796,807,843,845,850,888,908,912,919,928,945,946,958,959,961,965,981,984], % 730
[8,25,30,54,55,56,61,79,86,90,92,105,110,118,126,142,151,163,166,169,172,179,189,197,212,213,228,243,248,252,255,261,267,278,283,301,305,324,333,361,395,404,406,414,421,438,454,489,498,502,516,525,535,537,582,584,586,597,600,618,625,637,639,661,664,670,675,683,696,707,718,722,737,752,778,816,823,825,827,828,835,838,840,843,857,863,864,865,871,875,884,893,895,913,921,924,925,929,943,968,973,978,979,982,983,984,990,1000], % 731
[19,30,32,44,58,72,76,83,86,92,94,96,100,105,107,119,136,159,164,165,166,175,178,195,205,210,213,229,269,270,272,279,296,301,321,338,346,353,358,368,376,377,385,389,391,395,400,409,420,421,427,433,458,460,465,467,471,472,481,484,509,512,523,525,553,559,561,568,615,640,657,683,687,729,733,735,742,746,757,765,791,804,835,846,865,867,896,907,916,926,939,947,955,956,962,991], % 732
[14,19,22,35,80,89,112,113,114,126,145,148,149,163,185,191,223,231,234,252,270,292,298,300,302,305,325,330,345,347,348,350,353,379,396,409,415,425,445,453,469,472,489,553,555,560,562,564,568,570,576,577,580,596,602,620,674,675,689,706,707,714,741,753,768,771,776,807,818,832,836,840,843,861,864,868,869,876,879,881,903,935,978,991,995], % 733
[7,20,22,25,30,35,65,73,79,84,86,103,104,111,112,133,139,149,152,160,163,165,172,175,199,203,204,218,234,239,244,263,265,276,280,291,318,322,336,349,355,361,368,369,389,425,437,441,449,465,466,485,502,503,514,517,524,528,553,559,570,586,590,593,606,643,650,651,652,653,666,687,698,700,703,718,729,731,787,795,803,840,844,845,850,852,856,860,867,868,894,902,903,904,918,923,939,966,993,994], % 734
[2,27,31,35,53,56,67,73,89,114,120,125,129,136,142,144,148,151,156,162,163,177,185,186,191,192,204,215,223,237,244,253,260,262,264,274,296,302,304,309,311,313,333,340,345,350,354,367,390,393,399,410,436,441,447,448,456,464,469,505,519,537,553,564,570,586,595,596,599,605,609,616,617,625,627,632,641,644,656,661,664,674,684,690,699,708,712,743,754,758,764,784,790,793,802,821,841,850,854,855,870,885,891,893,913,915,925,933,937,949,954,976,985,989,1000], % 735
[3,7,8,11,46,65,73,88,93,109,114,127,145,164,169,174,179,196,198,219,223,227,229,249,256,261,266,271,277,282,285,286,294,298,301,343,351,352,362,376,389,407,418,430,440,443,446,453,459,463,478,479,490,505,533,535,541,542,566,594,610,622,641,652,658,662,675,681,698,701,706,719,722,726,728,740,751,752,757,761,778,795,806,810,813,826,831,833,843,855,866,867,868,876,903,907,913,915,916,928,943,958,960,962,970,979,983,993], % 736
[19,24,28,30,44,52,54,69,97,115,118,134,164,177,180,181,184,191,229,235,238,260,278,306,336,348,367,375,387,392,396,398,406,407,409,411,412,428,451,463,469,488,497,512,526,535,547,568,577,580,582,586,606,607,611,624,651,682,687,700,703,713,714,717,732,735,753,758,774,777,778,795,798,803,844,845,852,853,854,863,884,891,901,902,913,918,924,931,934,936,959,981,986,989,990,992,994], % 737
[3,10,25,55,56,60,66,71,74,76,82,116,123,131,141,146,148,159,162,197,204,251,260,261,263,271,275,276,286,301,308,321,333,353,359,380,399,425,427,432,436,441,464,469,482,484,499,516,518,548,569,576,577,578,587,588,596,607,611,623,630,631,639,641,655,656,657,662,671,684,701,708,730,740,752,760,781,796,799,804,820,837,842,846,850,867,878,882,885,893,899,908,909,919,926,937,938,946,959,962,968,970,976,978,987,995], % 738
[4,7,11,27,29,32,34,36,44,48,49,52,66,68,75,99,109,110,121,122,132,137,150,173,202,218,221,232,250,254,255,260,263,269,292,296,300,310,316,338,339,347,348,351,362,363,367,379,386,390,391,398,410,417,427,435,451,457,491,493,504,505,506,534,535,538,546,570,608,642,646,654,658,661,670,691,694,695,696,701,704,737,741,760,763,766,774,781,787,802,804,807,813,817,819,833,836,837,910,911,922,930,932,933,947,966,974,980,988,995,1000], % 739
[1,9,30,37,47,81,91,97,107,111,113,121,135,144,156,158,168,174,215,225,228,234,235,245,254,255,269,273,275,276,278,288,311,323,325,332,349,350,351,356,381,387,388,401,402,406,412,433,439,455,471,481,499,506,512,532,541,550,554,562,571,580,587,606,621,625,627,628,654,665,678,690,702,707,715,720,739,749,763,765,771,782,786,797,799,826,829,852,857,862,880,885,901,913,915,927,932,944,974,989], % 740
[1,7,19,21,22,41,44,48,49,53,54,72,73,75,90,94,96,118,121,133,140,146,152,155,157,173,180,184,191,197,201,204,213,216,230,244,250,263,270,273,277,290,293,295,297,341,358,360,367,373,380,381,390,412,413,429,442,448,480,485,506,514,520,521,526,531,535,536,553,568,574,581,583,585,607,610,612,616,628,630,635,647,654,657,670,675,678,682,685,699,721,748,755,759,783,802,805,814,821,830,832,853,854,858,860,883,888,889,890,892,893,910,917,919,920,937,940,945,960,973,974,987,992,993], % 741
[11,13,23,36,46,52,53,66,72,82,121,127,143,144,160,163,164,167,171,187,193,202,214,215,220,233,244,248,266,274,279,285,294,296,304,306,308,316,319,326,333,341,356,357,369,378,400,419,432,451,459,470,472,476,493,498,513,522,560,561,564,567,579,582,595,605,617,632,635,636,639,641,645,648,659,665,672,684,687,695,698,713,729,741,745,749,751,755,756,760,773,781,787,795,809,812,816,822,847,853,857,860,883,895,897,909,929,938,955,977], % 742
[4,12,15,26,29,33,43,49,58,65,75,96,116,126,134,156,179,181,191,195,207,212,221,224,230,239,242,244,267,284,294,295,304,312,316,347,388,393,408,420,422,439,450,465,466,472,495,503,530,533,538,539,540,548,582,584,595,609,621,628,629,655,659,660,663,671,677,690,693,697,700,727,752,766,767,768,772,777,785,786,793,800,802,809,812,825,827,843,856,865,878,884,885,888,904,909,911,912,914,920,923,944,958,959,961,968,975,980,982,984,986,996,998], % 743
[11,13,32,33,38,45,51,52,64,65,79,83,85,86,91,111,121,123,130,131,148,152,155,199,201,221,222,231,253,257,263,275,297,313,315,319,338,350,352,389,407,467,468,470,478,494,512,514,544,545,564,571,580,585,598,602,603,611,613,615,620,642,648,651,653,666,667,671,675,685,699,704,717,722,726,755,779,781,795,802,813,817,833,856,857,862,866,878,901,904,921,927,950,974,977,989], % 744
[16,17,21,25,27,37,61,78,81,96,109,114,120,141,150,157,170,198,204,212,218,234,235,237,240,244,267,268,276,299,305,315,319,324,332,334,356,362,373,378,398,411,413,432,474,482,489,495,503,505,511,519,523,533,550,552,561,579,580,593,603,605,606,614,616,627,632,655,657,677,690,701,710,711,719,721,725,729,746,748,749,752,766,777,783,790,795,810,812,814,825,829,845,853,884,902,909,914,918,945,955,962,972,980,987], % 745
[42,46,49,53,62,86,106,120,121,134,160,165,167,170,186,189,193,195,197,203,205,227,231,249,250,286,304,305,320,327,359,364,372,385,409,414,415,424,426,431,441,446,458,468,469,476,503,511,531,551,555,566,584,597,624,630,633,637,672,674,677,698,718,723,727,747,750,753,757,801,833,840,847,850,880,888,894,913,914,944,957,959,981,982,983,986], % 746
[8,20,32,35,45,56,65,92,112,116,118,129,131,139,142,145,157,189,192,193,195,197,204,211,217,220,236,248,269,270,275,295,309,317,319,323,324,329,337,340,387,389,395,411,428,441,444,448,459,463,464,470,485,495,496,498,507,521,525,531,537,538,547,551,555,565,572,594,599,600,613,633,642,666,681,686,687,716,730,734,749,759,778,803,823,827,830,844,851,852,880,884,918,924,936,941,946,955,977,980,981], % 747
[3,29,34,36,41,60,79,83,86,105,115,135,156,160,164,169,194,245,260,267,320,343,349,383,392,393,399,406,412,415,434,439,447,458,463,468,477,499,503,511,513,534,544,557,566,580,601,604,615,625,627,630,633,647,654,660,683,696,718,729,730,745,751,762,771,781,812,846,851,867,868,880,882,883,889,905,913,915,921,926,942,949,957,973], % 748
[2,3,4,7,12,25,29,38,42,51,69,95,120,121,126,129,140,145,146,161,181,192,193,196,197,202,205,216,219,222,225,227,231,234,236,241,252,258,266,283,310,311,328,347,357,371,395,396,404,405,407,413,430,436,451,459,468,476,477,503,533,556,563,573,579,583,584,596,638,640,642,645,649,668,676,682,687,696,705,716,718,727,734,751,771,778,786,790,794,795,796,799,806,838,841,851,853,859,865,873,883,900,902,918,920,923,926,930,937,966,969,976,994], % 749
[1,9,42,45,70,76,80,85,108,111,133,136,176,178,183,186,208,214,230,241,256,267,289,300,304,315,330,335,338,348,370,377,403,442,489,511,513,515,520,543,549,554,558,560,570,572,600,609,623,628,634,641,648,697,700,709,723,728,740,752,777,800,811,819,824,838,840,846,860,871,887,897,914,921,929,935,938,939,945,946,955,967,978], % 750
[3,21,32,40,47,49,66,68,74,81,92,106,107,110,129,137,144,150,156,157,164,166,169,197,198,204,222,230,233,241,264,283,289,303,309,313,330,336,338,371,381,389,399,429,446,456,466,478,480,490,498,501,503,505,511,519,534,541,551,553,562,567,568,573,589,607,624,635,640,649,651,652,666,685,691,697,709,710,714,720,721,735,744,745,763,813,831,843,849,852,853,855,857,871,876,878,903,906,923,927,929,939,950,957,986], % 751
[22,37,38,50,66,70,89,91,102,112,116,119,131,138,148,160,163,164,165,171,177,181,186,200,201,207,238,241,245,262,283,285,287,292,320,326,328,337,344,353,366,370,377,390,400,423,425,430,446,461,463,464,470,505,507,509,512,514,520,539,544,558,572,574,576,588,602,605,610,614,617,621,635,645,646,672,681,684,693,697,698,718,719,747,753,759,766,768,772,777,783,792,794,797,803,814,819,856,875,891,894,897,903,909,923,936,950,953,956,965,971,985,986,991,994,996], % 752
[2,10,21,28,33,35,42,48,63,72,107,109,114,125,136,156,162,180,183,187,192,194,213,218,235,237,240,241,242,247,258,272,285,290,295,299,323,325,329,332,346,350,356,362,373,397,401,438,456,486,490,491,523,556,571,573,599,603,620,632,654,658,663,672,684,689,724,728,746,758,763,781,782,799,807,811,857,861,863,893,900,906,910,921,943,952,954,965,981], % 753
[3,6,13,14,22,37,38,42,46,53,54,60,66,68,85,88,111,117,135,137,154,155,169,170,175,186,205,210,239,265,266,306,317,324,325,336,350,354,373,374,379,384,385,393,404,432,495,496,507,513,542,584,585,586,597,607,616,621,625,634,639,643,679,680,683,688,691,705,722,728,762,768,779,794,798,802,812,819,872,873,877,879,894,906,910,927,928,950,953,965,977,979,999], % 754
[5,7,46,49,53,59,62,65,94,116,120,131,142,150,155,163,168,173,179,186,199,234,238,273,304,321,344,347,352,359,363,364,365,383,387,389,393,406,411,419,422,423,425,428,444,451,455,474,492,500,501,509,529,537,543,554,560,601,602,608,615,648,656,661,675,682,690,710,717,766,777,790,795,796,799,834,854,867,875,887,888,894,902,911,950,973,977,980,984,990,993,997], % 755
[12,30,40,43,63,67,103,105,106,115,116,138,144,147,150,155,160,172,194,204,210,233,237,247,253,270,271,275,277,286,288,300,326,345,363,395,410,414,429,435,436,448,467,483,486,520,533,536,555,558,565,577,583,584,585,591,594,602,621,624,639,653,664,668,679,688,696,699,708,728,733,736,757,764,784,787,788,793,822,825,829,831,849,861,867,881,892,902,905,906,913,944,948,949,967,968,972,983,999], % 756
[7,21,25,42,47,50,54,81,86,97,106,107,111,122,131,137,146,163,165,176,178,190,197,203,230,252,257,278,287,297,300,306,323,346,363,395,422,428,445,459,476,482,488,496,513,514,517,523,531,534,535,545,552,553,563,569,574,585,589,590,591,604,622,623,628,631,644,647,659,670,672,691,706,713,728,730,751,772,792,807,809,813,828,852,859,876,877,893,902,907,908,934,945,949,952,965,977,993], % 757
[44,63,64,84,100,107,116,120,121,123,124,153,173,175,180,195,199,219,224,227,251,259,263,267,279,282,289,305,320,336,337,345,356,360,367,368,378,394,398,399,407,432,441,452,460,461,469,470,481,493,495,514,521,525,532,538,542,586,597,598,600,604,611,652,662,663,668,677,698,721,729,742,745,755,768,783,788,792,822,834,839,841,857,889,899,909,912,920,972,976,986,991], % 758
[5,16,19,25,27,33,34,54,78,104,109,132,136,140,154,156,159,161,170,174,177,180,183,186,188,189,200,202,215,218,220,238,247,252,261,264,274,282,283,293,296,300,317,331,344,350,355,368,369,375,382,386,392,408,413,423,429,435,443,448,457,459,472,474,479,489,494,499,514,519,525,533,536,545,554,560,577,593,602,629,638,647,648,653,662,665,672,698,715,717,724,762,765,768,785,786,807,810,813,823,825,826,837,845,850,873,878,879,890,898,901,915,920,925,946,963,995], % 759
[16,25,30,37,62,67,82,94,96,133,136,140,142,144,149,156,158,160,161,183,189,192,202,212,218,245,269,276,280,281,304,310,311,312,323,334,359,368,386,400,401,413,419,422,423,424,428,450,453,473,476,490,491,498,500,508,523,532,594,599,613,617,620,624,628,629,633,641,646,647,651,660,666,671,678,703,704,706,713,734,745,747,753,776,777,798,799,804,809,812,822,848,866,872,883,907,925,927,970,975,976,990,992], % 760
[6,8,39,42,43,57,63,69,76,82,94,113,133,141,144,146,160,163,170,173,201,235,269,277,278,282,333,334,348,360,363,369,402,407,412,422,452,461,473,485,512,527,532,533,536,538,563,580,586,591,596,613,619,630,632,655,660,672,682,687,710,713,714,728,752,769,779,782,788,791,794,805,853,871,874,875,879,882,890,909,913,926,929,931,945,978,980,991,992], % 761
[2,14,17,32,38,42,47,49,82,115,121,129,145,146,147,155,163,164,168,169,175,194,204,205,232,253,273,282,296,300,327,338,339,342,343,361,363,367,379,385,388,392,393,429,431,434,461,467,468,480,507,524,535,548,569,602,606,608,610,621,629,655,662,665,668,672,678,681,683,696,716,717,718,738,745,752,754,760,771,791,822,827,839,851,853,863,865,871,892,901,907,917,919,924,928,951,953,954,962,968,988,996,1000], % 762
[22,29,62,77,95,103,106,107,117,128,130,137,161,163,164,172,186,196,202,220,227,249,252,260,267,272,280,291,297,312,330,334,337,341,366,370,373,381,384,395,403,423,444,446,451,455,496,498,500,503,527,547,550,552,556,561,562,574,584,600,602,607,646,654,660,665,686,693,697,706,713,722,732,744,770,776,777,794,814,819,848,851,863,864,865,873,888,929,955,971,975,994], % 763
[6,9,10,31,32,59,80,86,91,97,101,110,120,153,178,185,190,193,204,221,226,235,248,259,264,282,290,295,310,322,335,346,349,352,362,396,401,415,423,426,447,480,482,493,497,500,507,539,541,543,544,549,554,559,563,573,590,598,599,612,624,640,658,671,680,706,710,711,714,721,727,748,757,759,761,768,774,778,792,817,840,846,849,856,866,867,893,901,907,927,933,936,965,988], % 764
[9,11,12,25,27,40,46,47,53,61,62,66,75,109,113,115,118,122,125,130,132,133,141,145,147,150,173,182,209,234,236,243,267,277,288,294,301,320,321,327,347,353,366,378,385,393,394,396,403,417,421,424,425,426,429,440,488,490,492,525,530,533,538,540,567,574,592,594,615,616,626,635,636,637,666,677,690,700,747,773,784,799,804,805,808,816,821,832,853,854,868,908,911,929,932,944,949,954,956,959,968,972], % 765
[24,29,30,38,51,67,75,79,102,103,116,130,146,156,159,161,163,165,166,169,176,183,193,225,243,262,264,269,291,294,335,339,340,348,352,354,365,369,375,388,394,403,404,413,420,430,433,435,442,450,455,459,464,472,479,480,487,498,504,505,526,527,530,532,533,539,551,552,554,558,563,578,591,602,615,632,635,643,670,697,702,704,728,742,755,756,764,771,801,810,818,855,863,871,877,880,881,901,914,928,930,931,939,942,950,978,994], % 766
[1,2,7,8,19,55,63,91,99,105,120,134,139,142,151,166,170,193,212,237,239,253,254,256,260,285,294,295,296,309,337,339,344,388,394,395,401,416,421,423,474,476,478,495,496,500,501,504,505,509,515,522,523,527,532,543,568,580,582,586,604,609,610,617,629,632,639,650,666,671,699,703,706,708,722,731,736,747,751,754,762,782,798,809,816,879,880,896,913,918,953,954,969,981,987,996], % 767
[4,17,24,28,31,41,46,55,65,89,96,100,119,134,160,170,184,198,199,201,204,208,223,255,259,260,265,267,277,278,284,287,302,309,313,318,349,352,356,377,379,384,393,426,439,454,470,480,490,500,510,526,531,533,537,543,546,555,560,585,609,610,627,630,645,665,675,709,728,763,782,789,790,821,826,834,836,839,841,859,860,872,921,956,958,961,968,976], % 768
[4,7,29,52,57,61,71,74,89,92,99,100,104,127,135,145,152,173,197,227,245,268,278,285,287,319,324,325,337,352,375,378,386,387,413,415,422,431,464,482,496,517,522,551,565,572,580,584,589,594,643,664,665,673,674,677,678,682,690,692,705,720,724,733,735,736,738,759,761,777,778,791,805,821,825,830,842,859,863,867,922,925,928,931,952,957,968,973,996], % 769
[5,31,40,52,53,61,63,66,69,72,76,80,103,107,115,117,135,137,161,170,178,179,181,185,192,210,222,223,228,231,241,245,253,268,269,270,279,298,306,325,344,358,361,373,403,405,410,412,413,415,425,428,430,451,469,478,484,494,496,497,503,512,539,541,572,581,584,585,586,597,604,636,638,648,659,679,698,721,754,760,761,781,785,795,804,805,807,808,835,846,854,882,886,908,909,910,911,921,927,932,937,952,968,978,984,988], % 770
[5,23,25,26,33,35,51,65,67,71,80,114,119,132,134,143,145,173,191,206,220,237,243,247,252,259,272,274,283,296,311,315,330,333,340,353,357,360,363,380,382,389,398,415,416,433,444,467,484,485,493,498,502,505,508,512,514,530,541,552,561,570,583,591,608,629,633,639,644,653,661,706,710,711,712,718,727,734,742,745,752,758,772,778,785,806,811,822,825,837,854,856,882,883,896,915,929,933,978,991,993], % 771
[2,7,8,22,51,59,69,73,74,106,118,128,149,160,164,174,177,190,205,211,215,222,235,236,237,240,247,258,259,270,272,273,274,280,282,303,310,323,326,336,338,340,345,352,353,370,376,382,383,397,398,404,428,447,449,454,460,462,483,503,522,544,545,549,552,562,565,575,586,588,595,605,609,624,638,639,642,654,657,672,673,680,691,697,706,718,719,726,727,729,731,755,757,762,795,807,808,814,824,836,846,849,850,851,852,863,865,868,875,876,891,901,904,933,939,942,943,957,963,971,977,981,988], % 772
[1,11,44,45,47,54,57,79,82,98,117,135,142,154,166,171,180,224,229,248,252,255,259,268,277,278,289,332,363,367,391,393,396,415,430,442,444,453,460,466,467,479,480,492,501,506,511,512,544,566,567,568,578,585,596,603,604,611,621,622,630,637,639,668,671,683,695,698,709,716,718,724,730,747,748,751,768,776,785,797,804,808,834,855,877,905,909,919,920,925,936,937,946,951,957,959,961,967,980,982,987], % 773
[21,39,46,48,79,82,86,87,100,130,138,158,164,195,201,206,214,218,226,228,235,239,245,276,277,301,308,313,324,338,348,355,363,367,392,395,398,401,412,414,417,419,420,453,454,468,473,477,481,482,483,484,486,492,499,502,532,537,539,541,544,546,553,573,583,589,598,599,600,617,622,626,628,632,656,674,677,680,689,698,710,719,736,737,739,742,779,795,799,807,814,824,832,833,834,835,858,874,884,894,903,917,943,959,963,973,976,978,979,989], % 774
[2,17,37,39,55,64,72,87,88,91,94,107,109,110,116,123,130,136,145,171,202,203,216,219,220,223,224,226,242,254,267,269,314,325,326,336,340,377,378,383,395,410,413,429,433,436,448,458,469,471,474,496,499,508,510,513,523,529,531,539,542,549,552,553,559,570,577,580,596,598,613,631,640,648,656,670,677,678,692,694,709,714,723,729,736,755,758,763,764,773,781,800,806,809,822,823,831,834,883,913,919,933,938,943,948,970,975,976,984,995], % 775
[15,17,22,45,50,80,87,114,124,143,152,153,163,169,178,209,213,220,239,242,272,295,314,317,341,344,346,366,377,393,402,407,424,429,430,448,466,468,476,490,491,516,532,535,539,565,574,585,594,598,599,605,623,634,635,651,662,663,669,677,680,685,692,697,699,704,705,736,740,749,764,772,778,780,784,792,793,795,801,806,815,818,821,842,843,859,863,870,871,891,892,898,906,907,915,922,955,961,962,971,995,996,1000], % 776
[7,15,29,63,83,94,111,116,121,122,125,148,167,185,194,204,205,206,215,216,217,245,250,253,264,273,289,290,295,306,327,330,338,347,373,378,398,399,407,427,434,438,446,461,464,470,472,495,525,532,542,544,563,566,571,588,591,606,618,620,632,643,653,678,689,720,721,722,736,749,767,785,791,799,806,808,810,814,820,848,860,861,865,876,894,912,922,926,930,952,967,971,975,977,988,1000], % 777
[10,14,20,24,25,26,44,46,49,50,71,80,102,112,113,125,134,149,151,160,165,174,192,199,200,214,219,230,261,273,292,299,304,318,323,335,346,360,371,381,383,396,402,417,425,428,447,448,469,478,507,522,534,541,562,584,588,609,612,626,640,645,646,666,673,704,708,713,728,735,741,742,747,763,764,765,767,777,785,792,817,849,853,865,878,887,915,926,927,930,934,961,982,998], % 778
[1,11,20,29,35,39,61,63,81,83,85,99,114,121,122,147,150,153,169,183,225,233,235,240,249,263,276,301,314,315,320,324,327,334,339,341,350,351,354,367,388,400,408,435,441,468,501,509,512,514,526,534,542,555,560,566,586,596,610,613,626,656,668,691,711,716,725,728,736,753,795,797,819,854,876,901,905,924,925,940,948,958,960,968,971,972,980,991], % 779
[8,30,35,49,58,67,70,72,75,76,84,85,110,132,134,140,160,166,179,186,188,213,225,226,227,249,259,285,297,312,325,342,344,345,350,365,379,385,413,414,419,431,447,448,456,462,481,482,485,520,534,544,570,581,587,592,594,611,629,643,666,668,676,681,687,690,694,696,704,706,726,728,732,741,742,749,756,759,765,774,779,798,805,821,828,832,838,842,846,857,862,874,912,916,927,931,935,936,938,963,965,967,971,980,999], % 780
[4,10,15,20,33,37,39,59,64,68,84,89,94,104,106,107,117,118,147,155,174,178,179,199,203,207,223,226,227,233,249,252,258,264,269,278,282,287,308,317,324,326,334,339,340,354,365,375,376,384,425,432,442,450,456,464,495,509,514,523,535,536,543,550,554,558,575,582,594,598,626,642,643,644,652,663,671,674,688,693,706,718,732,734,779,793,794,795,796,815,820,829,835,840,841,850,864,870,885,897,903,913,926,943,958,980,981], % 781
[20,22,24,41,70,74,76,83,122,134,154,157,166,174,205,213,214,218,222,226,229,245,255,266,271,273,279,286,304,319,356,362,397,401,421,423,427,438,439,451,458,459,460,465,486,493,498,510,517,527,535,537,545,553,573,580,584,589,590,610,613,634,635,638,643,646,658,659,661,675,689,722,765,774,783,787,814,838,851,865,867,872,898,899,904,909,912,914,928,936,945,947,951,965,968,974,988], % 782
[2,7,13,23,27,28,34,40,46,51,72,81,82,84,87,94,95,103,128,138,141,177,181,193,195,211,225,226,241,270,273,278,297,300,302,307,310,316,319,323,324,329,336,342,355,389,420,449,453,468,471,472,486,497,507,518,522,528,539,552,554,566,589,591,603,606,615,629,640,650,654,657,660,667,679,697,718,724,729,738,742,748,754,759,786,787,788,794,795,807,808,824,830,847,869,873,881,886,888,904,906,907,915,918,928,962,972], % 783
[7,9,24,28,46,56,59,67,72,73,100,103,110,111,113,127,130,154,166,168,183,185,222,233,237,240,242,253,255,277,299,307,315,320,338,355,366,368,373,376,401,407,411,414,444,452,466,478,479,484,485,536,568,601,609,616,626,630,638,647,651,658,659,676,690,706,736,740,741,754,757,758,762,769,782,795,796,799,821,823,826,828,833,845,868,879,883,885,899,900,908,963,966,968,973,975,976,993,995,997,998], % 784
[6,9,12,35,39,40,46,52,82,93,99,100,101,116,150,160,170,175,185,193,215,223,230,233,235,238,245,257,259,266,270,274,282,304,309,312,334,379,386,405,406,407,431,465,468,485,493,520,536,541,552,554,558,576,580,587,590,593,611,614,624,629,630,640,663,670,684,686,711,742,769,774,788,799,807,809,832,847,874,890,892,921,926,955,984], % 785
[6,7,10,26,33,49,66,82,95,113,122,135,137,142,153,154,161,163,171,173,204,209,218,220,231,235,236,255,256,260,262,263,277,281,284,307,314,325,332,357,404,413,418,430,431,448,459,462,469,470,475,483,498,500,506,525,532,544,548,557,565,589,596,602,605,606,607,624,636,638,645,649,668,677,711,714,729,734,748,770,781,788,799,807,812,818,846,871,900,911,918,933,935,937,958,960,982,993,995,1000], % 786
[18,23,28,60,64,65,69,80,82,83,87,89,91,125,140,148,175,181,185,190,196,197,212,222,224,243,248,260,262,272,285,291,305,308,314,326,329,334,341,348,355,356,364,391,393,401,423,430,443,472,486,498,516,518,521,525,531,547,563,570,575,593,595,598,606,616,618,622,625,634,655,660,661,672,673,677,679,689,696,712,714,725,727,733,734,737,747,760,771,786,789,801,807,824,844,850,863,866,896,909,910,917,926,931,932,936], % 787
[6,19,22,28,30,41,47,61,70,73,108,117,149,151,165,176,185,191,194,203,208,210,212,215,218,248,262,266,280,298,299,343,365,371,378,389,398,409,426,429,432,445,448,449,456,457,471,475,478,498,508,528,529,533,546,561,566,568,574,590,594,603,613,617,624,644,653,661,662,663,665,672,709,725,726,749,762,770,771,774,778,785,790,795,798,800,802,812,827,830,856,859,895,902,905,907,928,932,934,962,966,971,992], % 788
[7,10,27,28,34,47,56,85,89,101,135,139,140,145,180,182,204,205,209,231,233,239,248,252,279,299,326,327,333,335,338,352,361,370,384,392,393,411,432,445,465,482,483,489,491,514,529,566,586,590,592,593,595,602,608,615,632,647,656,659,665,684,692,703,715,718,723,733,738,741,747,750,765,767,769,774,784,786,798,803,807,812,818,850,851,855,861,865,870,893,900,910,915,918,936,938,946,953,965,972,975,976,987], % 789
[25,28,33,42,45,56,69,78,87,93,97,98,113,134,138,141,148,157,160,161,186,206,207,212,214,221,260,268,276,280,286,291,303,317,319,322,345,353,371,378,394,395,408,419,426,438,447,486,489,496,498,503,512,518,536,549,555,558,580,591,624,638,639,651,656,667,668,712,713,734,740,763,775,777,785,796,798,814,820,821,822,830,834,849,851,857,865,874,880,887,903,906,922,931,933,935,960,974,979,984,994], % 790
[23,32,48,70,84,89,92,100,116,117,119,142,165,177,195,201,204,218,227,233,258,266,289,321,326,329,330,332,335,339,340,350,352,355,361,375,401,403,405,408,428,430,444,461,472,492,499,509,511,515,517,542,543,544,546,555,559,569,581,582,597,646,661,692,721,734,747,750,753,762,788,812,813,826,830,831,848,850,863,870,904,905,914,920,924,925,932,943,946,950,959,976,993], % 791
[12,14,16,27,40,41,43,61,65,75,79,86,94,101,107,111,123,147,148,156,157,164,165,185,194,210,217,225,231,238,249,252,294,300,310,315,319,334,335,345,357,362,365,371,397,411,429,435,436,439,458,475,497,508,515,526,527,538,558,564,566,568,577,591,624,627,636,639,643,653,658,664,675,701,707,708,723,752,754,763,797,802,809,810,820,836,855,862,863,874,887,912,928,938,960,964,966,986,995], % 792
[17,21,31,39,62,66,75,82,94,103,106,129,144,146,153,164,191,199,202,211,213,220,223,286,288,298,312,322,324,341,343,362,390,393,394,399,409,416,422,423,424,439,445,448,469,473,521,526,538,539,561,574,596,599,611,615,641,650,665,699,707,708,714,735,741,746,747,753,756,777,786,790,795,807,820,828,844,849,867,870,877,908,910,913,928,930,936,968,977,981,986,987,990,996], % 793
[4,5,28,40,58,64,72,90,92,104,116,118,121,140,153,159,177,191,200,224,230,242,248,250,263,266,302,307,314,317,325,357,358,367,369,382,385,396,411,412,423,440,444,447,449,459,466,474,502,520,523,531,551,553,556,563,569,572,576,583,584,595,600,604,606,608,612,613,629,645,647,651,665,674,676,687,695,698,715,723,726,728,739,762,765,776,784,796,810,811,825,828,837,852,859,864,879,887,911,926,933,935,944,952,953,954,955,961,974,981,984,985,990,1000], % 794
[14,24,25,29,39,60,63,71,79,94,97,100,107,113,122,127,134,143,147,153,155,158,168,171,185,187,194,197,208,212,213,221,228,234,250,264,286,298,305,307,320,332,336,347,356,364,374,384,385,418,430,433,442,453,457,464,467,496,517,522,523,532,541,546,549,556,563,565,573,578,580,589,600,611,614,615,622,626,660,678,699,702,717,720,726,728,742,748,751,752,761,767,772,776,781,786,794,802,806,815,851,852,857,867,877,893,907,931,945,948,964,966,980,992,1000], % 795
[32,55,58,80,131,149,166,177,185,191,199,202,235,247,251,254,256,262,275,279,284,323,331,345,349,360,366,370,378,384,390,400,403,424,439,440,450,462,463,473,483,489,494,508,522,523,528,535,565,568,583,611,616,617,620,624,635,637,675,686,691,702,706,713,715,723,737,740,752,761,762,773,784,787,793,842,844,847,866,877,878,887,903,915,926,930,940,942,947,961,962,975,1000], % 796
[1,14,16,22,33,43,57,62,70,77,79,80,81,87,94,95,97,113,121,124,147,148,172,176,193,195,199,210,219,229,230,232,242,249,254,272,292,303,305,323,324,328,329,334,335,381,389,419,421,445,482,484,489,494,496,523,537,543,544,547,553,562,598,600,606,609,632,634,639,649,654,664,670,678,687,712,729,730,771,784,788,796,801,860,878,881,889,893,914,928,931,944,955,961,964,966,977,994], % 797
[10,16,17,22,32,54,70,80,81,83,103,114,129,141,143,146,149,150,152,179,196,208,211,214,219,224,225,240,246,250,274,282,290,292,299,301,305,333,349,352,354,362,363,370,385,398,401,406,413,419,449,453,463,465,466,485,492,495,505,510,513,533,537,544,562,572,584,592,604,612,613,614,624,627,632,634,638,644,662,666,667,669,682,683,687,707,710,714,715,719,725,726,735,777,796,821,825,828,830,839,845,848,859,869,873,882,889,894,902,912,929,947,969,971,973,982], % 798
[17,23,43,69,76,95,117,132,146,153,157,160,167,177,200,205,236,237,243,244,246,247,260,266,267,270,277,284,315,323,326,328,353,373,376,381,409,412,418,439,462,479,480,489,513,533,535,536,539,548,551,590,622,626,637,640,646,650,662,663,665,673,694,705,734,735,744,756,768,775,782,783,785,798,813,836,841,860,900,905,938,951,956,961,970,979,988], % 799
[12,16,53,70,78,82,84,89,94,111,132,133,134,137,141,153,165,175,178,184,190,198,214,216,220,230,233,279,281,295,301,314,316,318,341,342,345,369,383,415,426,428,440,469,482,488,499,510,523,531,533,540,548,557,559,561,563,577,579,584,605,612,614,624,634,635,638,643,660,670,675,687,726,750,751,754,780,790,798,801,810,814,826,827,851,858,861,869,870,871,873,921,923,929,938,943,956,958,975,981,991,999], % 800
[15,23,24,33,41,67,78,96,110,115,125,163,166,172,176,182,189,190,199,208,229,263,272,276,285,299,303,306,307,312,343,349,354,357,359,362,376,379,384,393,398,401,412,421,427,428,441,449,467,487,493,501,505,524,535,538,556,571,572,576,579,594,623,643,646,662,685,705,712,723,725,727,728,735,757,772,775,787,823,824,839,866,869,897,911,914,929,938,955,962,963,973,988,995], % 801
[13,15,16,50,59,87,107,114,119,125,127,128,139,144,146,149,150,159,183,186,194,236,237,250,268,278,284,285,293,294,322,338,355,369,397,399,404,411,413,422,430,451,471,478,482,484,487,502,507,508,510,522,527,528,538,574,575,577,580,586,591,593,596,605,610,617,628,632,634,655,667,669,706,752,754,767,786,818,832,846,868,887,891,892,897,909,930,937,947,955,958,987,990,992,995,1000], % 802
[4,14,21,34,45,47,60,63,77,92,98,100,113,124,148,155,163,178,193,220,228,230,250,251,259,263,271,280,292,297,305,313,328,343,350,357,363,373,394,404,411,429,454,464,473,476,486,490,500,518,531,541,559,560,561,570,595,596,598,600,610,614,617,629,631,644,650,654,655,665,679,681,690,692,698,700,706,718,744,754,760,776,786,787,795,801,808,821,823,837,858,870,877,887,888,895,897,913,921,927,931,934,949,952,954,962,965,977,993,1000], % 803
[6,8,11,13,19,22,29,36,68,72,88,94,96,105,115,139,142,147,152,157,159,170,173,182,203,225,231,237,267,270,274,282,287,295,306,321,325,327,335,346,359,367,371,372,375,381,383,388,399,401,431,440,445,451,452,469,482,490,494,513,533,534,538,545,558,568,577,579,594,610,639,654,682,691,699,704,710,723,766,779,795,830,843,865,866,881,882,886,895,904,910,913,954,962,975,978,980], % 804
[17,19,25,48,58,66,71,83,96,98,102,111,123,129,134,140,148,158,161,185,195,216,219,227,228,234,243,245,251,254,256,302,311,321,334,355,373,414,448,467,493,502,508,512,515,522,533,540,543,549,576,593,598,599,617,622,624,625,634,657,659,662,682,685,686,691,695,711,730,731,736,739,749,754,757,795,799,811,814,831,832,835,836,837,840,850,864,869,894,915,926,928,932,936,940,944,945,950,952,958,964,965,975,981,984,985,994], % 805
[3,8,24,29,31,33,35,54,56,73,84,88,95,103,123,146,150,157,185,190,192,205,207,234,242,243,258,259,276,284,291,299,307,308,313,316,320,355,368,396,397,398,406,430,446,452,460,464,480,511,513,520,537,538,542,557,565,569,570,581,587,596,598,602,603,606,621,626,631,647,653,655,662,664,669,712,718,727,752,759,772,786,802,811,818,823,847,866,871,879,882,896,906,911,947,957,964,969], % 806
[3,17,25,28,36,52,73,74,101,115,116,141,142,143,163,167,171,172,186,188,215,218,242,253,265,266,271,277,290,300,313,320,322,336,363,375,383,384,430,468,478,479,489,499,506,508,516,526,533,542,547,549,558,561,565,608,612,616,623,645,663,690,697,710,719,722,726,746,757,762,802,805,844,869,889,919,920,924,952,954,959,960,982,983,984,986,999,1000], % 807
[3,10,12,15,18,34,43,48,55,67,77,100,110,112,118,121,128,130,136,144,156,158,198,220,221,226,236,252,259,267,298,323,324,331,336,342,350,358,359,362,371,380,385,413,416,423,429,433,447,457,458,472,492,497,502,512,539,548,561,562,569,574,581,582,591,600,601,608,616,620,634,636,642,659,661,684,686,701,710,712,734,738,763,770,780,781,790,792,797,805,806,810,817,821,823,836,846,861,868,870,877,879,884,910,911,913,923,936,948,951,958,959,962,971,997], % 808
[6,7,40,55,72,73,75,85,87,95,106,108,114,115,124,125,138,147,151,152,176,184,232,246,256,269,272,283,311,316,321,323,346,351,354,392,401,402,431,433,442,447,461,467,475,481,483,486,488,490,501,506,510,519,532,540,542,549,555,572,573,577,584,589,593,620,623,627,633,666,668,695,703,726,730,743,751,771,780,781,783,798,799,801,810,815,820,822,839,850,857,873,884,890,905,915,940,946,992], % 809
[13,47,50,57,71,76,79,81,108,110,120,171,176,180,203,214,218,226,236,242,278,300,304,311,315,321,322,331,334,335,336,344,361,376,407,420,430,449,460,478,499,501,509,515,526,528,529,535,539,565,573,582,610,614,626,641,656,666,682,683,696,711,735,738,743,745,749,757,775,777,792,799,803,842,846,852,855,860,864,872,884,901,914,917,927,940,942,956,968,969,970,971,983,984], % 810
[20,25,29,41,67,77,78,81,88,93,116,117,122,133,139,151,190,210,232,234,250,251,260,267,288,307,308,315,319,333,343,345,363,402,408,416,422,428,430,433,439,441,442,448,456,477,496,524,525,526,567,594,596,601,602,608,620,633,634,641,653,658,664,666,670,678,689,701,706,721,735,754,756,766,768,780,784,790,804,826,836,841,847,868,871,872,885,886,891,894,895,903,933,949,951,994,996], % 811
[38,59,62,63,66,90,97,99,102,112,116,117,122,124,126,130,136,156,157,166,175,182,184,186,191,208,232,256,264,268,269,275,283,286,305,310,325,331,367,402,439,459,472,474,481,485,507,512,520,530,532,547,558,567,599,601,624,630,635,649,681,699,700,720,728,733,765,771,780,801,803,805,817,822,831,842,869,883,912,916,930,934,937,952,968,1000], % 812
[1,16,25,32,37,47,65,77,90,97,98,103,105,107,109,114,115,118,137,151,193,199,203,214,230,233,241,255,258,300,320,331,346,357,366,367,374,378,389,406,417,423,431,442,454,458,461,477,478,483,485,491,494,511,532,536,546,558,574,579,584,604,612,618,622,623,665,668,670,685,697,701,729,730,737,758,772,797,823,831,837,854,871,872,888,892,915,922,927,944,979,986,999], % 813
[2,17,18,23,24,57,67,107,108,116,155,175,177,188,214,227,242,267,273,283,302,315,323,339,347,351,361,363,368,392,396,400,409,413,425,426,434,440,442,461,467,477,479,486,505,506,533,550,552,566,580,584,591,601,617,625,631,635,653,670,685,697,698,716,721,725,734,739,745,749,765,771,773,788,790,802,834,844,856,863,874,880,888,889,894,908,916,920,921,927,930,958,962,977,980,987,995], % 814
[22,26,45,48,79,95,102,107,114,122,123,140,177,193,206,215,221,224,237,240,244,261,276,296,297,332,335,342,346,350,361,366,385,391,393,400,412,413,421,437,448,449,454,502,504,509,519,531,533,540,548,551,574,576,594,599,614,622,624,636,642,650,663,665,678,684,689,695,710,744,751,766,771,776,782,796,804,810,811,823,845,849,850,853,862,863,873,875,898,899,900,909,928,933,939,943,945,946,957,979,988,996], % 815
[7,11,16,21,22,46,50,58,68,81,113,118,122,126,128,133,134,135,144,145,148,151,189,191,197,230,232,234,237,253,256,272,277,279,301,314,345,348,353,356,379,384,413,429,437,444,460,480,484,494,515,522,525,527,535,537,553,557,594,601,602,609,614,620,644,673,682,708,717,722,736,749,760,774,782,783,784,786,808,811,825,848,850,857,860,863,869,880,888,895,906,909,917,930,949,955,957,973,975,980,985,993,995,998], % 816
[14,18,46,53,70,76,81,86,91,98,100,115,116,148,160,168,175,185,199,201,207,218,220,224,230,236,255,266,270,286,289,303,322,328,358,369,376,379,387,388,392,397,417,423,429,447,463,472,481,483,492,495,497,515,518,519,528,529,537,545,549,559,560,562,566,567,573,581,587,588,592,602,603,611,618,621,628,638,648,651,661,663,670,676,677,680,683,699,710,739,763,766,775,777,796,847,850,864,888,906,922,940,942,946,952,959,972,993,994], % 817
[28,31,35,50,55,62,68,82,93,94,95,122,123,124,134,139,157,163,165,167,170,178,181,187,200,205,207,241,242,246,258,264,273,276,283,286,294,316,320,335,336,337,368,376,389,396,398,400,405,420,455,456,458,461,464,469,472,501,504,514,544,561,572,587,601,605,613,615,622,623,631,640,643,644,673,675,687,690,708,715,719,720,725,726,741,751,768,770,778,781,782,796,822,832,857,878,895,920,922,924,926,932,935,936,954,958,963,990], % 818
[1,16,28,39,40,80,103,105,114,130,132,138,149,158,168,169,175,193,216,244,269,274,290,294,298,301,302,332,336,341,344,351,352,354,378,381,383,393,406,427,437,450,474,475,480,500,509,530,540,541,544,560,561,585,614,627,628,641,663,675,678,688,689,698,705,706,709,711,723,724,726,733,735,739,747,782,804,807,811,832,851,855,857,861,873,875,877,879,897,898,902,908,914,918,924,927,937,952,960,970,988,997], % 819
[15,19,32,36,48,52,53,74,77,93,108,129,131,143,150,171,190,202,205,214,217,226,232,235,236,240,250,258,267,311,317,320,324,332,333,335,348,354,357,358,385,387,404,461,471,496,508,523,532,534,547,554,563,571,632,634,635,644,656,686,692,705,709,715,717,718,719,745,749,781,810,811,812,821,823,853,868,873,875,882,889,912,941,946,960,961,968,970,978,993], % 820
[14,16,28,35,41,76,77,81,85,99,102,115,120,127,137,138,140,144,146,154,165,170,189,191,206,207,211,232,240,242,245,256,278,305,321,329,348,374,393,400,425,426,434,441,452,468,476,481,490,499,500,502,505,506,513,518,521,523,524,539,544,551,555,563,568,575,583,593,603,607,615,620,635,636,647,653,656,663,670,673,675,678,686,697,701,703,706,708,710,712,722,727,747,770,795,808,827,830,845,851,852,853,857,858,882,898,907,928,943,945,947,951,952,956,959,966,969,987,997], % 821
[7,15,23,46,52,62,84,102,136,139,141,142,145,147,163,167,173,174,178,179,199,216,218,223,232,234,238,242,244,247,248,264,268,276,287,301,304,318,321,334,344,351,364,367,372,386,399,409,430,444,455,470,486,488,491,512,518,520,523,532,551,552,555,568,569,579,583,587,611,624,626,635,646,651,652,657,671,696,713,714,718,721,763,766,770,778,786,823,842,853,859,863,872,878,879,884,889,928,932,935,948,958,967,979,987,995], % 822
[2,3,5,18,33,53,57,59,69,104,107,108,119,125,131,139,145,172,179,239,242,248,261,271,278,286,289,316,334,344,353,357,359,366,386,414,417,425,428,449,450,457,461,467,469,480,481,486,505,518,520,525,543,549,568,570,585,586,588,601,606,620,634,657,658,662,664,688,691,714,715,725,747,751,765,772,782,785,800,801,811,815,839,847,874,876,882,886,897,905,916,926,938,950,953,965,980,987], % 823
[3,13,20,31,32,40,54,57,75,97,101,105,107,118,121,126,167,174,175,185,191,195,196,211,213,218,228,230,233,243,246,275,287,296,300,318,370,396,404,423,426,428,436,446,447,449,505,508,546,551,600,639,641,650,652,660,665,686,687,692,693,721,745,754,767,790,791,807,810,821,839,857,862,872,875,892,893,900,903,921,935,940,955,977,980,982,992], % 824
[6,20,22,28,34,46,48,60,62,83,111,130,138,149,161,168,171,234,235,241,254,265,274,276,278,292,296,309,311,313,360,363,376,393,401,410,425,429,434,435,459,462,486,489,494,501,509,512,514,522,532,538,550,557,559,569,574,575,576,580,590,600,607,617,641,653,664,703,704,719,741,743,752,756,768,769,771,783,795,815,817,824,826,878,879,906,915,926,942,949,957,959,960,986,996,1000], % 825
[2,5,6,12,19,22,23,24,28,31,50,90,101,108,123,138,143,151,162,174,175,180,185,197,198,208,212,222,247,251,265,271,277,285,292,309,324,390,419,423,424,437,440,469,472,474,499,528,529,531,537,581,582,604,607,641,663,678,696,705,713,724,728,736,759,767,787,802,809,815,824,827,829,838,851,853,855,870,871,872,874,882,887,891,911,913,921,927,937,966,980,997], % 826
[4,25,29,38,40,50,55,65,76,78,121,138,212,216,217,219,221,223,227,253,262,264,296,300,304,313,317,327,337,344,367,375,400,413,427,436,437,442,448,455,462,473,490,515,516,523,533,535,544,549,557,563,569,572,584,600,604,630,632,643,651,658,660,671,676,686,698,712,716,721,725,729,764,765,777,778,780,784,787,789,793,796,801,821,841,848,849,858,859,866,869,870,876,878,884,890,894,908,926,956,960,967,979], % 827
[5,7,12,15,41,46,67,70,78,98,110,114,152,169,177,184,190,194,215,230,232,235,239,250,255,261,263,274,276,302,320,323,326,335,337,359,388,391,393,395,398,401,430,438,443,474,480,516,524,538,555,565,568,575,577,593,603,643,648,668,683,684,706,713,719,722,736,746,758,767,778,787,791,811,820,838,843,863,885,891,907,914,951,979], % 828
[8,16,34,42,47,64,74,77,79,80,81,83,85,102,111,122,123,124,132,139,157,161,185,199,233,268,274,277,296,297,308,346,352,358,394,395,408,434,436,439,455,464,468,470,476,487,490,498,510,533,552,554,556,559,560,563,582,591,599,601,616,631,647,672,679,687,707,717,719,742,745,750,769,773,782,783,804,837,846,851,863,864,867,869,872,877,884,899,922,952,962,964,965,972,978,980,984,997], % 829
[2,25,33,41,49,74,75,95,104,113,116,132,159,170,171,182,185,204,216,223,227,231,238,241,253,281,303,308,332,345,352,355,359,364,366,370,374,383,404,409,437,448,458,461,465,468,469,488,495,513,525,531,535,540,545,558,576,591,615,621,630,632,635,639,661,682,687,719,732,737,741,745,748,765,768,777,788,796,818,819,827,844,851,869,880,886,898,908,933,943,965,983,993,996], % 830
[3,32,41,46,56,58,64,67,93,94,115,121,128,150,156,164,182,195,196,198,223,239,241,269,272,273,275,298,305,310,315,351,352,363,370,372,375,404,407,411,421,422,423,424,427,444,451,470,480,499,519,526,570,586,590,592,593,594,609,617,629,630,658,659,667,673,702,707,712,717,720,721,729,731,736,742,756,768,773,783,795,801,812,827,830,841,851,853,868,874,921,935,942,957], % 831
[1,8,39,44,54,64,70,78,91,93,97,98,121,126,132,140,150,158,165,168,207,231,237,246,248,253,265,268,273,283,295,297,321,325,330,333,334,349,356,357,365,367,373,410,423,425,430,437,440,443,473,486,508,523,545,550,554,602,606,608,613,623,649,659,667,672,682,684,691,697,698,700,716,718,731,736,773,776,782,788,793,795,814,818,851,865,870,873,879,882,886,889,903,904,913,916,929,958,964,970,971,999], % 832
[13,18,28,35,42,58,61,66,69,94,97,99,101,144,155,159,163,174,179,183,195,203,205,219,231,236,246,254,255,259,280,297,313,331,335,340,343,356,360,365,377,398,401,452,457,461,467,468,474,477,484,486,537,538,560,567,578,584,585,586,592,597,607,618,627,629,636,637,643,649,657,670,673,675,688,698,703,704,720,742,743,749,769,789,791,800,803,806,810,815,818,819,832,843,846,861,872,883,904,917,919,924,928,944,957], % 833
[1,3,37,46,61,74,79,95,120,131,146,153,164,167,171,179,199,210,218,221,229,232,238,248,259,276,279,280,284,285,296,298,305,315,322,323,329,335,341,343,352,365,368,370,394,397,406,417,429,434,458,474,502,505,528,531,545,558,563,576,580,581,616,650,658,662,672,674,682,686,690,713,716,735,747,775,776,782,790,794,809,812,813,815,817,826,871,878,881,894,896,899,909,931,939,948,951,959,970,975,998], % 834
[2,11,12,32,34,45,56,58,59,62,64,69,72,73,87,94,102,120,126,130,131,142,153,158,168,169,184,196,222,227,241,243,246,257,273,274,276,283,290,291,299,300,303,315,320,358,375,376,382,383,388,389,402,407,412,432,435,436,438,486,495,496,509,511,513,519,520,524,525,528,529,532,538,541,554,557,575,589,595,599,609,613,626,658,661,666,671,677,681,686,702,704,709,712,714,721,728,746,747,748,763,765,768,769,783,798,827,830,840,846,885,912,923,926,934,936,938,945,946,959,971,981,986,988,989], % 835
[13,50,57,59,80,105,121,124,125,127,163,172,178,179,210,215,222,226,229,231,259,262,289,290,292,297,311,321,349,355,359,392,396,404,411,416,427,457,466,472,492,508,515,519,521,524,530,540,577,590,592,600,617,619,629,634,635,649,650,665,676,679,681,715,721,738,739,740,743,773,799,840,904,914,919,920,927,933,936,938,948,957,980,988,993,994,998], % 836
[1,15,17,19,20,23,34,36,42,52,60,73,81,85,102,104,105,106,116,124,150,154,156,160,166,167,176,183,184,197,204,243,254,271,280,288,290,300,308,334,346,364,366,369,377,384,388,401,408,476,477,480,488,492,494,498,500,501,507,513,541,546,558,559,600,602,609,638,646,665,669,675,686,688,693,699,703,728,738,752,755,788,789,798,802,827,830,839,844,873,874,883,887,897,910,919,920,923,924,954,975,981,996], % 837
[14,24,28,58,74,77,82,88,89,97,102,116,117,130,150,153,154,163,169,180,191,201,205,209,210,223,230,234,260,263,275,293,294,306,311,317,320,327,339,346,363,364,379,386,390,391,396,400,401,404,417,424,427,430,435,439,450,466,476,481,498,513,514,521,533,537,539,551,553,562,572,576,585,587,594,600,620,638,650,654,662,663,667,672,673,675,694,699,706,707,708,733,744,759,768,791,810,811,855,875,887,898,921,931,932,942,951,956,957,958,959,966,973,989], % 838
[6,9,85,105,107,112,114,122,127,132,171,176,180,183,191,198,199,219,220,225,247,253,263,266,272,274,291,305,311,329,351,355,357,367,386,405,423,425,429,432,435,440,447,461,465,468,470,493,505,516,555,557,562,574,634,644,653,662,668,680,683,688,692,693,696,706,707,712,719,726,735,742,745,754,766,781,786,791,798,820,822,823,827,851,861,892,944,946,952,953,959,962,970,985,996], % 839
[18,24,27,35,44,53,57,62,67,93,101,104,106,107,134,151,161,167,178,212,217,221,237,241,251,259,272,283,289,298,318,323,329,333,344,366,386,391,402,436,441,442,453,457,472,474,475,492,494,498,501,510,532,539,541,544,555,561,590,614,633,644,645,647,659,663,677,685,696,718,723,739,767,782,816,818,819,822,855,864,895,896,910,922,923,934,945,969,988,995], % 840
[9,14,22,26,27,58,61,72,86,119,121,134,149,163,168,179,186,226,228,230,241,248,276,296,303,308,312,325,335,338,363,381,384,407,422,423,445,446,449,453,458,461,474,483,495,507,509,515,522,523,525,547,548,573,576,590,599,604,605,623,627,635,646,648,654,658,667,669,670,677,678,705,729,740,742,745,760,762,773,774,776,791,795,829,830,838,844,876,893,926,934,935,943,965,968,973,978], % 841
[9,13,26,40,43,56,79,80,81,87,88,97,103,120,180,186,195,214,217,218,220,229,238,255,274,280,287,305,314,316,350,355,364,372,381,394,395,411,423,433,434,443,448,459,476,479,484,485,498,507,515,526,545,551,554,589,590,600,603,607,623,626,628,633,668,671,674,677,680,684,693,704,718,751,766,778,781,792,797,803,805,827,838,843,860,863,864,900,902,933,934,952,975,989,992,993,996,998], % 842
[2,17,19,36,42,52,72,96,114,121,125,133,136,140,147,164,167,168,175,193,196,198,224,231,233,250,271,281,284,294,309,311,320,330,331,341,342,350,357,363,369,376,378,397,414,419,425,426,438,454,466,478,491,506,552,558,567,575,581,583,594,600,607,626,628,631,640,644,657,662,667,669,678,682,693,699,702,706,709,710,712,722,729,739,749,751,775,777,778,820,827,833,850,865,876,885,890,915,922,933,946,968,970,979,992], % 843
[13,23,25,27,31,34,51,59,69,72,78,85,86,99,107,112,117,131,133,135,143,146,147,153,173,176,202,209,223,241,245,250,258,274,282,284,306,307,308,311,314,326,327,329,331,364,365,366,372,395,399,417,432,438,448,465,480,482,503,509,515,526,527,530,531,532,536,556,582,598,600,646,655,680,692,693,696,701,721,725,765,790,808,816,863,882,883,884,888,906,907,911,950,958,968,973,985,988], % 844
[2,6,12,14,18,25,26,51,54,61,69,79,93,115,124,132,133,134,138,141,143,145,149,191,192,195,197,202,217,234,247,252,263,287,289,303,322,334,350,354,360,370,391,397,400,401,426,429,434,436,439,440,447,459,477,480,487,501,504,509,512,514,518,520,531,534,537,542,550,563,569,621,639,646,648,649,652,660,674,681,721,733,743,755,757,758,768,773,775,785,787,794,804,808,811,818,848,853,856,863,875,876,883,899,905,915,963,979,980], % 845
[4,24,26,37,38,52,54,80,87,93,96,98,99,112,118,163,173,178,184,210,213,228,242,265,277,284,286,302,305,313,321,324,334,340,345,380,397,398,405,421,422,444,446,451,453,475,476,504,517,528,530,538,540,545,551,553,557,587,597,599,602,660,668,671,673,678,694,714,720,723,725,738,761,768,781,782,788,804,836,838,895,896,901,903,904,914,943,945,951,961,964,965,969,986], % 846
[40,68,81,84,86,93,95,111,132,133,137,138,172,174,182,196,210,222,235,236,248,249,254,277,284,299,308,309,325,326,328,344,358,365,368,370,373,384,405,407,411,418,451,468,475,477,503,504,520,527,533,537,541,567,586,592,619,625,640,650,683,692,715,721,754,767,768,788,819,821,846,858,862,870,932,934,940,942,947,958,974,997], % 847
[7,10,12,32,36,37,41,55,56,61,67,81,83,93,98,101,115,116,143,149,156,174,177,188,212,214,218,227,249,260,262,274,278,285,288,326,327,345,346,348,367,373,383,384,387,390,397,403,408,422,430,434,446,467,489,495,502,506,513,515,516,517,551,571,572,574,592,595,598,613,618,628,643,649,653,660,668,669,686,694,697,724,741,749,753,758,764,766,772,787,803,812,819,826,852,857,900,922,928,944,971,972,976,977,992], % 848
[6,49,55,62,69,77,86,91,106,113,137,139,141,152,165,169,181,190,217,220,227,233,241,251,252,253,254,257,259,267,271,274,278,280,281,311,325,328,333,400,436,445,452,456,465,475,490,507,509,511,528,534,538,547,561,562,569,596,598,603,621,623,627,639,662,676,685,692,706,723,742,765,787,788,807,813,814,826,828,830,842,847,855,856,868,869,871,875,876,888,889,893,900,901,917,918,925,935,938,942,948,964,973,984,990,991], % 849
[2,25,30,36,42,55,65,96,105,123,175,202,211,225,238,246,258,265,273,278,281,285,322,330,343,357,367,375,390,399,402,417,457,462,463,473,477,500,502,505,512,524,525,529,531,533,537,545,558,561,580,589,591,603,620,669,679,681,682,683,693,701,704,720,723,750,751,770,793,811,815,818,820,829,835,863,866,875,892,900,901,917,919,920,927,932,936,950,963,973,989], % 850
[4,10,18,20,43,54,59,75,78,83,87,91,98,115,135,154,188,208,223,251,259,260,277,294,295,296,312,318,326,335,346,354,362,363,364,365,366,369,375,383,415,418,427,440,456,465,486,490,492,499,523,526,539,543,551,564,569,572,587,592,594,607,630,647,666,669,675,676,691,697,699,701,717,723,724,725,740,741,751,753,758,764,767,771,773,774,786,823,827,829,846,867,881,887,899,924,929,932,942,964,972,974,975,984,987], % 851
[9,14,15,20,24,30,33,35,38,41,43,47,50,66,71,78,101,111,122,134,142,144,156,161,183,188,189,200,206,221,232,250,255,273,283,284,289,297,302,303,309,317,330,333,358,384,390,393,400,423,428,452,457,460,461,464,472,479,480,492,497,512,538,544,555,598,600,615,616,643,650,652,660,663,667,677,678,680,686,694,702,708,738,744,748,761,776,777,780,806,831,847,853,860,886,887,889,904,930,933,954,957,966,984,990,992,995], % 852
[9,12,13,14,35,36,47,49,57,77,78,79,80,86,94,110,132,142,150,156,181,189,200,218,222,223,269,286,313,324,340,357,358,364,365,438,448,455,467,484,485,493,499,500,504,521,540,551,569,578,589,601,610,615,620,622,663,664,739,740,745,747,749,765,768,778,820,824,879,880,882,884,890,900,924,938,949,963,964,985,989,994], % 853
[1,4,8,15,28,54,63,73,78,87,88,96,113,122,127,129,130,136,146,163,169,171,189,206,218,224,234,245,246,253,273,274,285,294,300,305,314,330,332,347,356,360,369,389,403,408,412,417,419,451,452,454,468,480,489,498,511,516,521,532,544,548,551,553,575,584,591,605,613,621,633,636,647,653,661,671,692,701,722,728,735,750,753,770,778,782,784,789,814,817,825,830,841,843,849,862,873,884,891,899,904,908,930,932,954,971,999], % 854
[17,27,35,46,55,57,58,64,74,90,94,110,115,121,128,131,137,144,145,146,151,152,163,184,194,208,221,229,230,232,236,238,249,259,262,263,265,268,271,289,306,311,343,353,363,414,437,446,504,527,565,577,578,600,619,630,634,636,653,671,684,687,691,700,706,714,726,770,774,782,794,798,813,820,830,835,840,841,862,864,881,890,926,940,947,953,955,960,971,996,999,1000], % 855
[3,17,24,25,26,27,35,64,79,84,100,119,121,126,132,135,142,158,163,198,201,203,207,208,210,212,220,238,245,259,294,295,300,301,314,318,320,323,324,338,355,371,374,380,384,387,401,416,430,456,458,460,463,466,483,485,499,510,514,520,535,539,541,547,549,565,583,588,615,625,630,632,634,637,642,650,655,684,691,704,716,720,721,722,735,747,762,773,780,790,800,807,808,836,838,842,846,855,873,876,892,893,920,924,935,953,974,990], % 856
[7,16,27,28,41,42,46,66,67,79,88,102,181,190,221,226,227,233,277,283,286,295,301,307,324,325,334,369,383,397,412,431,470,473,476,511,515,537,545,550,556,574,583,609,611,616,619,626,627,628,639,643,645,659,660,664,670,675,696,708,721,741,742,744,758,769,781,783,784,791,792,795,796,808,810,827,831,840,843,861,867,873,888,900,902,903,904,912,920,924,926,932,933,942,952,957,958,961,968,974,985,987], % 857
[14,22,31,36,54,58,59,81,86,93,101,104,105,109,110,116,147,150,156,158,175,178,182,197,214,219,232,286,307,308,322,325,328,373,376,388,410,411,416,419,463,477,480,487,489,501,503,509,511,519,526,532,536,540,550,557,559,577,578,579,592,613,637,667,670,705,716,742,744,746,750,752,755,774,780,782,801,811,834,854,855,860,877,891,908,910,911,936,941,957,973], % 858
[4,27,39,42,56,67,74,78,83,91,94,95,107,109,135,161,163,170,187,191,203,204,209,223,224,237,249,252,257,271,283,288,297,298,317,325,333,343,344,348,360,381,391,394,402,405,406,408,423,443,448,458,459,464,503,518,529,530,535,539,548,553,556,565,568,569,570,587,626,627,644,647,668,678,682,705,716,723,725,734,743,747,756,762,767,769,774,785,788,804,815,844,849,855,881,923,927,961,968,984,990,1000], % 859
[12,48,52,94,104,115,120,121,135,141,161,164,171,175,188,202,205,209,221,230,231,239,252,258,284,290,292,299,306,313,334,335,337,339,353,354,357,368,373,380,387,391,393,403,404,412,413,417,424,432,440,442,448,450,455,458,468,471,473,481,484,487,509,511,517,519,524,529,531,534,559,560,563,579,595,600,631,640,648,654,660,668,678,684,690,691,707,710,720,729,735,761,775,783,803,818,829,833,835,849,855,861,867,892,893,911,913,918,919,933,937,954,955,959,964,969,979,981,999], % 860
[5,7,22,23,36,82,94,100,103,117,132,133,138,143,145,151,172,177,194,205,220,221,232,233,240,241,249,275,294,313,328,334,360,364,365,368,373,378,384,388,397,398,411,418,439,446,457,462,476,478,496,501,511,541,548,564,575,579,580,593,601,602,606,613,641,687,690,692,768,780,788,793,814,822,829,834,838,877,883,885,896,905,913,918,922,924,930,943,970,979,999], % 861
[15,59,69,87,93,98,108,126,148,150,152,157,159,164,165,168,175,203,220,222,225,251,257,259,272,281,282,288,292,303,320,325,327,359,369,380,433,435,443,458,473,482,499,505,506,555,568,573,594,604,608,636,645,655,668,671,678,685,687,688,693,700,704,715,733,742,745,755,756,761,762,766,786,787,812,816,818,824,843,845,860,863,876,881,889,905,911,915,930,936,941,956,962,966,968,976,977], % 862
[26,29,32,35,37,57,60,69,79,81,97,124,130,131,137,149,162,181,183,202,220,223,230,244,262,264,271,273,284,287,299,324,327,331,338,351,357,366,369,381,382,394,398,405,414,415,435,437,455,493,504,508,510,513,516,525,549,572,574,577,584,596,604,608,612,662,672,693,700,710,716,722,729,730,755,767,768,779,782,821,824,840,853,878,879,899,908,921,934,967,984,988,990,995], % 863
[2,3,7,14,18,23,33,38,44,69,76,79,97,107,112,114,120,121,124,129,135,164,195,198,235,236,245,262,263,266,269,277,281,300,301,307,311,314,317,322,334,354,355,367,383,392,395,403,418,432,442,447,460,462,495,518,521,534,539,541,550,554,565,574,575,577,587,593,602,610,614,658,666,680,717,726,750,757,762,771,796,810,823,834,837,841,845,857,876,882,910,967,969,974,1000], % 864
[16,19,34,39,51,65,85,89,101,109,114,117,118,121,146,159,169,172,179,196,245,246,253,260,261,267,268,273,281,303,305,306,316,326,362,367,385,388,393,401,402,406,415,428,440,443,445,457,490,495,496,505,517,523,526,528,533,556,558,574,577,580,599,610,611,613,628,633,640,651,659,676,680,682,684,701,710,736,737,741,751,752,755,764,767,771,786,794,809,820,833,835,844,850,858,869,894,920,926,929,941,956,966,974,981,983], % 865
[7,11,22,35,38,39,43,53,63,70,74,75,77,95,100,109,110,117,137,143,153,162,189,211,214,224,235,236,243,247,250,262,264,289,295,298,300,321,353,361,363,376,400,401,409,428,438,449,507,508,517,525,537,551,557,562,564,565,567,569,572,591,600,610,611,631,636,653,659,663,691,694,709,718,725,755,764,765,779,789,791,801,831,847,858,859,870,880,891,896,905,944,953,956,958,965,978,981,984,985,991,996,1000], % 866
[1,9,16,36,48,63,72,76,84,103,119,126,132,133,134,158,160,164,178,207,208,253,261,270,275,288,305,316,335,340,353,367,378,389,391,392,422,425,426,434,439,440,461,462,468,469,479,489,492,520,527,539,551,560,565,572,582,588,606,607,621,623,629,630,650,652,689,692,702,703,723,725,731,742,753,755,771,792,797,834,845,850,853,858,859,888,903,905,939,955,956,968,969,977,981,985], % 867
[37,49,54,78,82,83,116,126,131,133,136,145,161,188,194,198,209,211,249,253,261,268,273,277,279,294,299,305,309,319,320,334,339,344,348,350,352,361,371,379,386,399,405,419,425,449,464,465,468,472,473,495,534,568,580,586,593,601,608,613,627,645,653,665,666,675,694,723,727,763,775,781,784,786,788,791,808,816,817,826,833,837,839,841,846,854,896,898,903,905,911,929,959,975,987,998,1000], % 868
[1,5,11,26,30,39,44,50,60,76,77,80,85,100,114,115,119,120,122,142,152,153,160,174,182,192,195,204,207,211,212,221,227,238,259,294,295,301,306,308,316,350,357,362,371,372,373,390,395,432,439,450,467,471,475,498,507,514,529,541,542,561,562,563,565,575,577,581,588,593,641,643,669,674,716,719,724,758,771,773,775,776,784,803,811,823,839,849,852,866,910,919,937,941,944,949,955,975,978,986], % 869
[15,21,37,56,63,77,79,83,85,91,121,130,138,166,171,178,184,188,202,225,227,232,247,255,261,273,282,283,288,306,310,314,325,332,337,339,346,347,356,371,373,391,410,422,423,426,437,457,469,474,477,480,500,514,519,520,526,549,558,560,561,587,609,612,618,627,637,654,655,660,664,691,698,719,721,727,745,750,751,761,770,777,792,797,808,819,821,822,827,837,845,858,860,877,879,897,911,936,943,948,957,962,975,979], % 870
[7,36,44,46,47,56,58,73,80,84,85,91,94,105,107,113,118,121,130,143,159,164,174,183,197,201,226,227,228,231,262,270,290,292,300,316,341,342,364,380,391,397,436,439,442,445,459,463,467,468,469,472,480,486,511,516,519,531,547,553,560,563,567,570,576,579,581,585,591,598,612,628,641,642,650,659,674,677,706,712,714,715,719,740,741,749,782,784,787,790,793,805,808,830,831,836,837,846,874,896,899,902,904,940,947,956,969,975], % 871
[1,2,3,8,11,27,28,37,41,42,59,84,92,100,118,135,141,150,159,166,171,178,207,220,224,232,238,241,242,247,252,255,294,304,310,322,326,327,342,345,371,379,399,407,423,426,435,456,464,467,474,481,483,523,527,533,542,551,562,564,570,582,584,591,592,599,600,614,640,659,660,663,676,706,754,768,771,774,788,791,795,796,801,822,827,834,841,849,858,863,875,876,891,897,907,913,927,946,949,954,957,972,984,991,997,1000], % 872
[2,3,5,10,31,34,39,75,81,84,95,102,103,130,144,148,157,159,175,177,185,195,200,212,222,228,236,250,265,281,284,287,289,295,319,328,333,334,340,348,355,368,392,404,431,441,446,451,460,461,467,489,507,512,531,533,549,554,557,560,561,581,595,606,618,632,636,648,670,674,678,680,681,685,693,731,739,752,755,783,786,788,804,805,821,841,848,866,867,876,883,891,893,895,905,922,934,935,938,939,944,954,974,975,985,992,999], % 873
[15,19,41,42,45,46,50,54,63,85,116,157,175,200,228,231,233,239,249,252,276,277,292,298,328,347,351,353,361,378,394,397,411,414,424,441,443,447,456,474,525,548,550,562,566,572,580,591,606,629,670,672,721,735,736,743,756,769,771,775,778,820,827,836,843,846,852,863,869,873,918,924,932,946,952,955,969,979,987], % 874
[5,17,31,49,54,75,84,91,108,142,163,166,167,191,240,241,269,273,280,281,310,314,317,329,349,356,359,418,419,422,431,433,446,447,449,452,455,469,472,486,487,492,494,498,499,518,523,529,559,570,580,585,594,595,601,612,613,631,658,664,665,679,692,705,713,724,731,762,763,766,773,781,795,798,810,821,828,830,852,861,884,893,913,917,919,921,925,939,971,975,981,982,990,997,1000], % 875
[4,14,37,43,45,77,84,86,93,130,135,139,154,156,165,192,209,233,241,273,284,288,303,311,334,353,366,368,370,388,405,408,410,435,436,437,445,452,458,472,479,487,490,511,517,523,524,550,559,568,582,600,612,621,626,631,634,645,654,655,657,663,675,681,682,689,690,698,699,710,715,726,746,752,754,768,802,814,844,849,852,853,860,883,887,905,910,914,915,951,963,979,987,992,1000], % 876
[13,21,25,31,32,48,55,73,93,98,100,108,112,120,122,145,159,162,199,220,225,230,232,233,239,240,257,261,268,301,308,315,320,322,325,327,333,343,362,369,373,375,385,428,435,441,450,458,470,471,472,479,490,494,498,517,520,537,539,550,560,565,569,577,596,607,618,626,628,637,644,645,647,657,671,673,680,700,704,722,725,727,746,760,791,794,800,802,813,836,848,855,884,887,896,917,948,949,955,965,967,972,976,977,996], % 877
[17,38,49,56,66,74,76,84,86,106,114,120,126,136,142,148,156,163,168,231,247,249,250,256,266,272,280,321,327,329,331,358,362,365,374,383,387,389,432,435,439,455,461,483,489,511,527,540,541,549,552,554,573,578,589,597,621,633,636,645,646,651,652,655,669,672,689,694,701,705,718,726,728,739,741,748,755,760,772,791,793,808,811,813,816,834,859,867,871,899,906,909,919,930,941,958,967,984], % 878
[1,7,17,18,20,24,32,37,45,47,53,66,67,76,92,117,120,125,131,133,141,162,165,170,173,177,180,182,190,199,201,235,237,253,260,265,270,272,274,297,308,309,330,344,347,356,359,374,380,397,402,403,413,415,430,434,436,440,469,478,486,488,489,504,505,506,530,546,567,587,592,593,598,600,607,612,616,643,647,654,713,721,740,743,750,753,755,766,778,791,794,796,837,853,859,865,892,903,925,931,933,941,963,977,982,986,994], % 879
[7,19,26,42,63,78,88,89,112,131,140,144,150,162,174,185,202,226,231,232,242,244,263,278,291,294,307,322,328,332,334,335,349,351,363,364,382,395,448,476,481,485,486,494,506,531,540,541,573,595,600,607,615,621,622,654,673,686,688,708,709,718,719,723,733,746,751,753,779,790,800,801,809,812,833,840,849,850,862,866,874,893,916,932,943,948,962,987], % 880
[8,10,25,32,33,36,40,42,47,51,55,61,62,64,68,71,73,75,81,83,86,89,95,97,127,139,144,145,150,154,162,165,191,193,203,217,225,235,241,245,251,252,256,261,264,282,288,299,313,316,322,326,336,343,352,356,357,362,373,386,395,406,407,423,446,461,488,511,518,519,522,532,535,536,538,555,558,561,569,576,579,580,602,606,635,647,650,657,659,668,680,693,698,712,716,717,728,746,760,763,768,777,792,806,807,814,822,844,856,857,864,901,904,916,928,935,944,945,959,960,969,971], % 881
[1,12,14,15,16,19,20,21,24,31,46,51,56,65,85,87,96,100,115,129,131,143,144,149,155,162,163,164,168,173,178,196,212,227,232,240,248,259,261,263,278,292,302,303,323,337,339,341,348,391,394,404,421,425,431,432,440,441,452,464,476,491,506,519,527,529,536,543,545,564,570,579,580,584,590,595,610,633,634,636,649,660,661,685,693,705,712,721,726,737,742,754,771,774,775,777,778,782,783,786,798,806,807,814,822,827,841,853,857,870,875,905,925,936,946,948,952,958,974,976,978,986,994,998], % 882
[4,15,17,25,28,35,38,42,64,92,101,102,106,128,133,137,163,164,169,180,203,212,213,235,238,261,272,273,313,315,323,369,375,388,408,425,429,437,481,505,596,614,619,621,623,639,646,661,662,673,703,708,715,718,721,725,732,741,744,761,780,786,805,812,813,841,853,869,877,882,888,906,918,920,927,940,946,949,952,953,971,984], % 883
[10,41,43,47,50,51,52,81,103,104,111,116,119,123,127,136,138,149,209,220,222,229,241,291,297,325,332,340,352,358,376,379,380,388,406,413,416,419,444,448,459,461,470,472,493,494,497,501,521,532,536,537,554,565,574,585,591,610,616,619,645,673,677,691,702,710,722,723,724,725,728,730,736,742,761,800,805,823,827,832,842,848,853,858,872,873,896,898,912,921,929,934,958,975,981,985,993], % 884
[9,16,29,58,64,69,72,80,82,83,94,102,108,128,163,168,176,189,197,209,221,223,226,230,244,249,256,271,286,305,313,321,323,334,350,360,362,363,364,378,396,398,399,431,438,471,484,492,507,514,519,521,541,557,560,563,582,589,602,603,615,631,639,641,658,667,686,690,697,701,704,707,715,728,732,735,743,747,753,756,767,796,802,815,825,837,842,847,856,866,889,898,901,906,909,929,939,940,956,961,988,994,995], % 885
[1,7,21,31,39,44,52,79,85,100,106,118,125,127,131,155,166,167,170,177,192,201,205,209,229,237,243,255,267,268,277,293,298,305,321,338,342,359,362,366,377,382,383,397,422,431,470,489,497,506,524,532,541,547,576,608,612,627,631,633,644,648,673,681,682,683,706,709,710,731,737,757,771,778,830,831,845,869,890,892,947,997], % 886
[18,36,43,80,82,85,89,94,106,113,121,130,131,135,136,147,151,169,174,178,184,188,197,202,205,208,226,245,263,265,273,285,297,302,306,331,342,363,365,368,383,389,392,404,411,418,420,427,439,456,458,469,474,484,486,487,492,497,501,523,541,544,545,555,581,582,583,610,639,642,647,650,655,662,684,686,690,692,705,714,718,724,752,756,770,773,779,786,790,794,803,811,814,823,843,849,854,863,864,870,882,898,905,911,932,955,963,968,974,992], % 887
[5,7,10,15,34,54,69,71,72,78,82,112,129,138,140,147,151,152,171,173,175,179,208,221,222,223,226,239,241,264,268,274,283,288,291,295,317,343,344,346,355,374,377,391,428,447,460,463,475,478,516,565,569,571,601,611,614,652,654,657,659,670,676,681,717,734,755,761,765,781,784,792,809,812,817,819,826,836,845,848,851,905,933,938,939,940,945,965,975,988,991], % 888
[3,5,18,46,51,64,70,78,103,105,108,124,130,134,136,140,141,146,147,153,154,155,160,174,182,187,203,208,216,217,221,227,240,244,245,248,259,260,263,284,294,329,337,345,363,373,394,404,415,416,420,423,426,432,451,466,479,481,500,515,516,519,541,552,556,559,569,586,607,620,629,641,647,658,663,674,685,687,693,701,709,711,715,717,746,753,769,774,779,790,801,815,826,829,838,841,854,891,893,898,900,901,903,905,908,909,940,942,954,960,963,965,967,969,973,977], % 889
[9,28,34,35,54,68,70,81,86,93,98,113,117,120,122,124,126,139,153,188,196,222,230,233,248,257,259,261,273,275,278,280,283,294,295,301,310,320,324,334,356,378,384,391,398,402,404,421,431,433,443,446,447,465,468,469,470,482,536,549,551,560,562,578,608,610,616,624,638,657,670,671,672,694,712,713,730,739,745,754,764,765,770,772,774,782,786,788,790,791,800,806,816,826,838,841,845,881,900,921,944,965,973,976,982], % 890
[1,12,15,28,31,50,54,57,59,64,74,82,91,94,105,115,116,118,132,137,140,143,163,180,203,210,219,220,239,244,245,246,272,276,279,298,299,314,322,325,331,334,364,368,369,384,388,408,422,426,431,433,448,451,453,458,473,483,496,517,555,567,570,578,581,589,596,597,623,639,641,649,658,668,669,684,685,697,705,708,709,736,740,743,744,754,755,765,769,797,798,806,831,843,849,860,862,871,881,899,901,915,933,935,965,966,973,974,981,993,999], % 891
[24,29,35,50,64,70,72,95,100,103,111,119,122,128,133,134,152,157,172,180,189,192,198,201,229,243,253,255,261,275,277,293,301,311,312,314,325,349,351,355,356,360,362,377,391,414,415,416,429,445,446,461,488,503,508,515,535,536,560,566,574,587,589,597,624,637,639,641,643,657,658,671,674,686,703,720,728,736,739,755,758,764,779,781,812,822,824,836,856,857,860,863,865,866,870,875,876,877,885,897,906,907,916,918,924,931], % 892
[10,13,33,39,72,74,78,79,98,99,102,113,121,160,163,177,209,214,217,232,236,240,252,271,288,289,299,310,313,315,332,340,345,346,362,377,378,379,382,389,408,416,424,436,438,442,444,448,460,465,469,482,489,519,521,537,545,548,549,589,593,594,614,626,639,644,648,652,679,688,696,730,735,748,753,764,765,784,798,811,814,820,849,855,875,883,909,916,933,934,946,947,977], % 893
[23,30,44,58,71,82,94,103,150,158,165,180,186,194,205,209,211,222,223,228,249,250,251,255,257,265,293,294,296,299,310,317,318,321,323,335,351,358,363,395,402,419,420,440,447,449,498,514,518,520,533,534,536,537,541,579,603,618,621,622,632,634,638,641,654,660,674,682,693,710,712,718,731,735,737,741,749,777,785,801,802,809,816,824,826,827,828,841,866,891,893,907,928,934,935,936,939,944,951,959,969,976,982,1000], % 894
[5,6,22,30,35,47,62,63,69,73,82,85,89,107,122,134,167,172,202,229,230,231,233,246,254,259,265,269,277,280,307,318,320,321,339,345,350,351,393,407,409,420,437,450,453,468,473,485,498,506,536,557,565,579,588,599,602,604,617,647,657,681,693,695,700,705,708,719,722,724,728,732,754,755,762,773,786,788,808,816,827,836,841,854,867,873,888,893,911,947,952,955,960,974,978], % 895
[11,29,48,61,71,78,81,97,98,141,146,151,175,178,183,190,205,228,232,246,265,286,299,314,333,336,342,348,353,354,355,360,365,368,384,396,403,409,414,419,440,446,447,465,471,480,481,484,485,493,494,499,507,528,551,562,563,564,570,573,574,576,585,591,603,611,615,641,644,652,659,667,668,672,691,694,699,702,729,732,738,752,754,761,777,790,842,844,846,853,854,864,869,887,907,915,928,930,953,961,982,997,1000], % 896
[3,5,6,10,11,19,34,39,41,45,52,61,71,80,81,84,92,104,116,120,128,132,133,134,136,146,148,149,179,203,210,216,231,243,263,266,273,291,302,306,310,324,331,335,341,348,361,364,366,368,370,371,395,423,441,450,461,471,481,483,484,490,524,531,536,540,557,565,578,616,624,640,647,650,653,672,681,683,692,704,706,709,714,723,728,730,738,756,773,791,793,812,816,833,848,857,861,864,869,879,882,894,898,914,946,950,953,969,974,978], % 897
[24,30,51,52,57,75,95,113,124,156,162,197,201,209,218,251,274,324,325,348,356,384,386,399,400,402,404,428,438,452,459,469,499,507,516,518,535,537,552,554,563,579,588,614,625,627,642,652,655,659,660,682,687,700,702,706,709,718,720,743,751,758,801,815,818,819,821,825,831,834,837,841,853,857,860,867,902,903,910,921,937,940,942,945,950,951,960,970,977,992,997,998,1000], % 898
[3,22,39,55,56,58,88,97,107,111,126,131,137,139,140,143,155,156,160,163,173,183,191,212,216,224,229,236,243,249,272,282,284,313,327,340,341,344,347,358,360,362,366,373,375,376,392,410,434,440,461,480,481,482,503,522,523,525,541,546,566,569,587,592,601,605,607,610,619,628,642,646,648,649,671,675,686,693,708,711,717,739,741,742,743,747,763,769,770,773,782,787,797,803,814,825,845,846,856,860,867,884,914,916,918,937,940,941,944,954,961,976,989,991,993,994,995], % 899
[9,15,22,37,40,47,48,61,62,80,82,90,94,98,117,125,143,150,153,161,170,192,197,206,220,224,230,231,259,260,264,303,310,356,362,393,395,403,410,418,423,466,505,510,511,528,535,554,577,583,586,591,599,606,609,610,616,620,631,648,651,665,676,688,690,706,732,798,800,808,813,829,837,843,853,859,860,862,865,899,908,909,916,921,925,940,942,943,944,946,948,949,962,968,969,979,987], % 900
[3,6,13,15,33,46,73,76,78,91,109,110,116,150,155,158,161,181,182,191,203,208,210,223,225,231,232,248,260,262,273,284,291,311,322,326,342,347,348,352,367,379,389,408,417,418,419,420,433,438,450,458,469,470,488,495,531,548,572,583,589,605,608,636,639,666,683,690,696,731,733,740,746,752,768,794,815,822,841,848,856,863,875,879,889,896,897,918,921,927,935,939,942,946,958,968,969,974,980], % 901
[12,35,44,55,66,68,106,110,118,128,139,142,146,160,164,176,183,208,229,262,266,286,293,294,296,312,324,349,351,365,369,404,405,406,417,427,437,442,444,447,455,482,504,505,527,530,539,541,546,558,563,571,575,596,598,602,604,607,611,613,615,627,645,659,663,664,674,700,731,735,738,743,771,787,796,812,820,826,830,847,850,853,860,865,871,872,882,886,905,912,920,925,941,957,968,979,980,981,1000], % 902
[11,12,22,34,52,60,97,106,116,117,121,124,127,147,149,156,157,160,173,204,222,226,228,232,240,242,252,255,268,273,276,284,288,321,323,329,348,362,408,421,444,459,475,495,497,500,501,507,514,516,570,575,587,596,611,614,639,648,649,652,662,670,679,681,684,687,692,695,703,713,714,724,733,734,783,818,843,845,874,876,896,911,912,913,933,939,941,945,963,971,972,980], % 903
[3,6,22,29,35,55,61,66,67,76,84,93,96,98,104,109,127,128,153,155,156,161,169,194,196,213,222,226,230,243,273,282,299,301,308,309,317,329,336,347,355,384,395,406,409,413,429,430,431,444,466,469,474,482,487,493,513,514,517,519,540,542,551,562,577,580,588,606,634,637,641,657,658,664,666,688,695,705,730,732,745,758,759,772,795,797,801,827,842,844,848,860,881,882,888,899,907,914,924,925,931,937,940,955,984,993,998], % 904
[1,9,17,19,32,33,46,51,55,59,69,108,110,111,113,120,129,136,153,164,190,192,211,212,215,228,246,259,262,264,269,275,310,312,332,343,362,388,402,427,459,460,468,469,474,477,485,486,489,492,523,524,542,557,579,605,607,618,621,632,640,650,656,661,667,676,680,689,696,712,718,721,753,777,801,821,830,838,839,840,849,853,867,885,890,900,906,935,954,965,966,968,982,991], % 905
[29,41,45,48,50,60,63,70,71,73,96,101,123,136,146,149,158,172,178,181,200,209,212,249,252,253,261,267,279,283,284,286,303,316,322,342,354,360,365,397,402,414,435,436,447,449,453,456,457,466,481,518,525,530,579,580,590,598,603,621,631,636,662,680,687,692,704,713,714,715,722,730,734,796,804,821,828,836,853,874,877,892,920,923,939,949,982,988,992], % 906
[30,45,46,50,60,66,68,69,70,75,76,93,95,108,125,141,162,166,167,182,207,224,248,256,259,276,289,291,308,313,334,337,338,344,347,352,357,359,377,389,391,399,409,419,435,450,455,466,491,492,494,497,509,522,537,546,555,556,564,568,569,572,589,601,606,608,611,612,633,636,647,652,661,688,694,703,708,717,719,723,734,736,750,752,758,764,773,774,776,780,781,787,788,791,792,797,814,816,833,857,871,874,885,886,902,911,912,917,921,924,926,936,941,944,949,968,974,984,995], % 907
[12,17,28,35,36,97,100,107,115,122,134,139,157,158,163,175,181,220,226,241,269,289,291,305,308,316,359,360,379,381,393,395,397,404,411,413,428,430,437,461,466,480,494,499,503,506,512,513,514,533,573,581,591,610,634,650,659,670,680,687,694,698,769,788,795,798,809,816,821,825,837,858,902,905,910,913,915,916,921,922,935,950,953,961,967,968,980,999,1000], % 908
[5,29,31,40,52,55,69,78,93,123,125,131,136,138,151,158,166,176,179,187,189,220,231,233,235,241,251,258,261,274,275,279,293,300,304,325,328,364,369,384,405,407,413,420,432,435,444,488,489,494,495,500,501,506,508,509,510,517,518,533,534,535,537,543,552,555,556,559,562,574,575,580,583,591,598,612,620,627,634,648,660,671,673,677,678,681,695,697,727,735,742,746,753,756,757,761,762,776,784,791,795,797,799,809,824,826,838,844,846,853,862,866,872,874,887,900,914,922,953,962,964,965,970,975,982,988,993], % 909
[6,14,25,26,29,31,32,34,46,57,75,80,95,101,104,106,124,171,179,186,199,213,225,227,233,236,245,249,253,259,268,291,297,298,305,306,317,320,331,347,360,363,369,375,389,390,402,430,432,433,440,441,443,446,491,502,516,524,526,538,589,593,600,601,615,621,629,641,654,666,668,681,689,702,709,714,737,743,748,752,754,757,765,771,794,796,800,803,806,809,810,814,822,834,836,862,872,873,875,899,920,929,931,939,961,973,974,977,978,981,989], % 910
[4,17,36,42,50,61,62,68,78,83,89,101,105,113,129,130,140,154,171,189,190,193,196,209,214,233,264,285,288,319,320,330,350,360,365,370,371,374,384,389,416,427,430,465,473,476,485,486,502,504,507,517,526,533,559,578,592,605,629,638,640,644,656,673,680,709,718,744,753,755,768,787,802,803,815,823,825,828,834,837,865,866,887,925,937,946,956,959,985,994], % 911
[7,38,43,46,47,51,54,68,74,75,79,81,84,90,92,102,125,128,133,142,152,154,176,205,246,267,274,286,294,305,314,322,334,337,351,376,377,382,384,412,415,427,436,444,458,481,493,500,505,510,511,518,525,541,542,544,545,549,552,569,581,602,603,604,605,643,649,672,681,682,707,710,711,712,729,744,765,773,785,787,793,813,847,850,856,891,910,943,949,950,953,984,991,994], % 912
[18,40,48,76,78,80,84,107,126,131,136,147,158,161,179,193,216,219,221,243,258,265,294,295,298,317,328,330,332,333,343,349,357,369,377,382,391,398,410,411,415,428,442,458,464,474,482,539,540,561,567,586,590,591,592,595,603,618,625,628,633,636,679,697,722,728,734,743,765,769,787,800,807,819,820,827,838,862,874,891,895,901,921,953,967,972], % 913
[7,46,50,66,76,79,97,123,157,159,160,170,174,206,216,218,227,242,244,255,258,262,265,278,282,288,302,314,318,321,326,332,353,355,364,369,372,378,384,392,407,421,425,436,441,444,451,463,471,476,486,488,492,496,511,512,524,531,539,549,564,579,591,608,618,619,626,642,643,645,646,656,682,686,690,694,699,713,732,758,769,771,783,810,817,822,826,850,853,858,860,871,881,888,891,923,928,929,942,946,980,981,996,998], % 914
[8,14,23,30,36,65,75,76,94,109,132,137,149,155,157,176,177,182,197,199,209,217,220,229,241,254,256,257,259,261,277,283,295,310,311,322,329,336,388,389,411,422,424,430,438,448,455,471,472,485,491,501,540,590,613,620,633,651,673,702,705,722,733,752,753,773,786,788,797,807,812,817,827,832,847,850,852,855,867,873,874,880,883,884,886,919,927,937,942,944,980,985,988,991], % 915
[2,11,27,35,39,54,59,62,73,84,91,92,93,105,114,125,127,133,149,160,177,179,185,200,241,247,250,253,269,270,282,292,294,318,323,331,339,341,352,356,359,385,393,405,428,436,456,467,470,478,489,491,500,506,511,513,520,529,540,545,547,557,560,569,575,588,591,596,617,621,628,656,672,683,684,691,696,707,720,727,745,762,781,799,804,808,809,822,844,866,868,877,881,885,888,893,904,950,966,975,985,997], % 916
[31,40,52,59,77,93,104,109,144,145,152,193,199,201,213,216,218,222,242,254,259,267,276,286,293,294,303,323,350,361,362,367,379,380,387,396,398,399,400,407,408,421,423,430,443,451,469,475,513,517,518,519,528,537,568,570,575,576,577,578,586,590,595,597,608,611,614,625,632,637,640,647,648,658,660,677,680,688,707,708,726,727,743,754,768,793,799,816,821,822,843,844,845,856,859,871,879,881,890,896,898,902,903,907,918,929,941,948,951,952,965,970,973,979,980,996,997], % 917
[3,25,34,45,52,74,94,111,126,127,129,146,162,167,171,183,197,205,208,214,216,231,240,242,244,251,254,263,269,316,320,359,375,380,388,401,402,424,428,453,471,475,493,512,517,524,529,565,585,587,591,634,636,653,675,684,699,718,720,741,750,789,792,804,811,829,856,864,875,892,894,899,900,902,903,923,942,946,963,974,984,987,991,997], % 918
[5,19,39,44,46,51,52,53,60,61,77,82,90,113,115,119,123,129,147,150,160,198,202,206,215,220,222,232,235,248,258,287,293,297,305,319,323,340,362,367,381,394,401,437,440,446,449,455,456,466,483,486,491,504,521,544,548,549,571,578,610,617,622,631,638,674,679,704,714,720,722,733,736,741,744,752,755,766,772,773,798,800,803,806,807,823,847,865,867,874,875,882,891,915,923,945,954,961,964,974,988], % 919
[17,20,35,94,119,126,136,149,157,161,177,211,229,252,259,268,272,274,281,298,310,324,332,334,338,372,382,384,386,394,406,413,444,465,468,471,473,476,488,495,499,504,529,540,543,545,555,571,576,589,596,597,602,610,612,620,623,630,631,632,638,660,661,685,703,706,707,709,719,723,742,752,754,755,762,777,784,787,789,800,818,827,831,844,851,856,857,859,881,886,887,901,903,929,931,932,962,974,976,985,994,997], % 920
[46,47,49,58,70,84,91,95,113,129,131,156,160,170,184,203,215,227,228,232,235,240,244,254,266,272,278,290,303,304,308,312,325,335,339,348,351,354,355,373,381,386,393,396,400,409,423,424,426,433,437,438,458,483,492,497,499,510,511,518,524,532,542,548,559,562,564,567,568,576,584,587,609,619,656,665,667,672,678,681,698,703,712,718,722,725,727,746,766,775,778,783,785,787,808,810,811,837,839,878,885,900,915,941,942,944,946,948,957,983], % 921
[6,7,27,50,57,60,76,97,98,107,114,123,155,162,178,180,194,219,249,256,310,327,354,355,356,357,360,382,404,408,411,416,462,484,489,497,502,510,523,536,546,552,563,587,598,614,617,624,634,658,670,672,675,680,687,695,710,712,734,745,747,760,761,773,784,785,789,798,799,800,815,829,843,851,852,853,862,867,873,884,885,916,923,924,926,940,948,958,960,982,987,998], % 922
[6,15,43,52,65,68,80,91,93,94,117,122,123,166,171,177,210,212,215,230,236,250,283,301,334,373,406,450,454,457,458,479,485,486,512,542,547,553,555,557,564,566,582,599,610,614,615,634,645,667,677,680,691,699,707,710,725,746,754,760,775,783,792,803,805,808,810,812,823,824,841,851,861,877,897,898,900,919,928,941,942,948,952,953,962,969,976,990], % 923
[15,19,35,43,63,67,80,83,105,117,130,155,177,186,196,201,202,212,217,227,230,237,250,257,258,265,268,287,293,305,312,313,317,327,360,363,373,376,379,388,389,423,429,430,433,434,438,444,445,454,470,484,490,502,504,512,529,530,535,537,538,540,575,577,578,584,587,593,601,609,620,639,650,653,667,677,681,684,685,687,693,700,704,709,726,729,735,736,771,774,776,800,801,814,832,867,871,880,884,886,887,889,910,915,919,925,949,953,955,964,968,970,976,983,988], % 924
[4,19,38,47,51,55,57,59,73,78,80,85,103,123,133,152,181,183,198,220,239,273,275,295,298,306,322,323,336,352,366,371,386,395,402,413,421,429,438,443,445,471,472,481,491,501,510,528,541,543,550,552,554,559,563,564,576,583,592,620,633,635,638,649,665,696,727,738,741,752,778,782,789,794,801,828,839,843,852,865,897,909,919,934,952,965,975,976,979,988,993,994,997], % 925
[8,26,27,43,67,95,101,121,147,163,167,180,205,213,215,221,222,247,259,272,277,285,287,288,290,303,309,328,332,339,349,351,360,364,376,378,379,383,389,394,399,401,414,420,421,423,428,453,474,481,499,508,513,526,531,532,533,534,537,540,554,575,577,591,596,609,613,615,621,624,636,647,652,658,665,667,701,721,722,744,751,756,764,770,777,780,791,792,794,796,808,837,855,868,869,880,895,905,913,922,924,945,946,963,988,990], % 926
[2,16,17,32,34,43,49,57,59,71,72,94,97,104,119,131,147,154,179,181,197,201,214,226,256,268,288,292,305,307,320,330,336,338,350,353,358,368,374,377,384,385,394,401,404,405,426,428,431,449,452,457,478,514,528,530,536,559,565,581,593,595,606,608,628,678,697,703,710,712,740,745,748,770,771,782,785,806,817,830,844,846,850,858,869,875,889,926,929,939,949,953,958,982,984], % 927
[10,28,39,50,56,60,62,66,84,94,95,99,100,106,107,110,169,171,182,183,189,211,214,228,232,257,278,282,295,310,313,314,335,345,352,357,369,405,409,428,430,431,442,464,470,482,483,484,486,501,507,514,515,526,537,557,565,581,585,603,618,631,641,666,680,684,695,724,733,735,748,752,755,760,829,836,838,850,859,901,902,912,919,925,926,929,945,960,961], % 928
[12,13,18,29,49,70,81,98,112,124,125,128,129,134,137,151,153,167,168,169,179,208,225,234,239,273,290,305,306,323,327,330,332,373,380,381,393,394,400,407,408,414,422,427,443,448,449,450,461,462,466,471,474,479,492,501,504,505,506,535,537,582,583,626,630,641,655,671,676,695,700,701,706,736,754,756,780,798,800,802,818,824,826,829,831,841,844,865,871,875,893,903,909,912,914,918,925,940,945,950,952,959,971,978,991,996], % 929
[1,4,11,50,69,75,89,91,111,115,132,138,146,160,173,175,184,190,222,241,243,252,255,264,289,294,304,340,347,352,355,360,362,363,368,390,396,427,430,433,441,452,458,487,488,497,505,532,535,538,541,547,551,552,570,579,606,612,618,620,628,630,639,641,643,656,658,661,675,677,690,694,711,715,718,719,733,750,760,761,786,799,803,828,835,840,844,855,860,895,896,903,909,911,934,935,940,941,942,943,970,971,980,983,997], % 930
[4,9,23,35,44,55,73,74,79,81,105,106,118,121,139,159,170,203,211,212,217,279,286,292,306,327,333,339,342,345,347,360,371,392,394,399,400,401,405,415,430,443,446,457,462,470,474,476,481,489,491,492,493,498,507,509,517,522,532,550,561,562,572,586,593,598,630,633,638,639,643,654,655,656,657,681,691,692,705,713,719,756,757,765,779,809,810,814,818,820,822,826,830,859,869,872,880,893,894,899,901,908,909,919,936,954,979], % 931
[15,21,28,46,47,59,70,75,85,109,115,117,130,134,147,160,162,168,182,187,189,199,200,205,206,209,211,215,217,218,222,229,232,240,252,263,266,267,282,285,294,301,311,312,322,332,336,342,347,350,353,361,368,374,389,391,394,399,439,461,467,474,481,487,497,503,512,513,519,555,568,579,598,599,606,616,638,641,644,659,672,695,707,709,722,730,743,745,767,782,793,800,809,813,819,828,848,866,873,875,905,907,920,937,940,960,992,997], % 932
[7,48,49,50,58,64,72,75,76,77,83,93,97,98,99,100,112,118,121,130,146,149,171,173,177,182,194,197,212,220,224,225,244,253,258,300,316,322,325,327,328,338,352,361,374,385,389,402,409,418,421,425,427,428,463,468,469,475,485,502,504,525,531,540,559,561,569,585,593,608,616,626,639,640,652,655,671,673,695,701,712,718,720,722,729,738,739,767,776,785,807,811,813,816,817,820,837,846,855,859,860,871,894,901,905,922,923,960,974], % 933
[4,14,17,21,31,35,43,51,52,67,77,106,127,129,138,144,155,173,176,181,197,202,206,230,234,239,251,256,257,272,300,327,354,361,364,390,399,400,406,418,443,450,465,466,469,474,480,497,498,502,528,532,538,541,545,551,554,572,580,586,593,596,617,619,637,639,641,643,658,660,673,697,700,716,723,740,750,771,784,792,818,828,837,847,864,884,912,917,924,937,944,958,962,967,991], % 934
[1,11,12,15,33,43,70,71,94,117,126,130,154,157,159,168,169,174,177,181,188,198,199,206,216,220,238,240,249,274,278,283,284,287,297,300,310,312,313,314,317,318,319,345,352,366,369,395,396,400,409,417,418,431,433,434,438,463,464,466,476,489,490,492,494,521,526,556,557,564,569,570,574,591,612,637,662,674,679,692,696,709,730,739,744,750,774,784,810,813,818,825,829,837,841,842,844,873,892,895,899,904,907,924,934,942,944,948,950,953,956,963,966,975,979], % 935
[3,23,29,30,36,43,58,59,61,62,72,74,101,110,113,114,131,157,172,189,193,238,242,252,257,263,264,279,301,319,320,344,357,359,363,372,373,381,383,385,387,389,421,423,428,436,442,471,490,495,503,518,540,549,555,558,576,579,585,590,618,623,628,649,666,672,673,674,690,692,700,739,757,772,782,786,805,808,811,817,829,837,841,847,855,859,863,871,882,884,894,914,917,922,924,928,949,959,970,980,983,984,996], % 936
[6,10,11,19,32,34,45,49,63,83,87,99,107,114,125,128,133,135,155,156,171,184,189,226,228,240,261,262,265,271,280,282,286,287,292,323,324,325,326,341,351,358,368,381,387,399,400,408,417,418,424,426,450,465,470,477,481,499,506,510,523,538,541,554,565,566,572,587,610,626,629,635,642,643,647,652,663,673,680,687,696,697,703,706,714,727,749,770,771,794,798,799,800,803,804,819,822,836,838,842,845,878,899,904,912,917,927,936,939,944,956,974,975,991,1000], % 937
[12,36,41,48,49,58,80,86,92,109,115,123,125,140,143,174,185,199,205,206,208,211,225,233,237,244,245,265,271,282,285,288,312,328,330,354,363,376,396,400,423,427,430,432,476,479,483,489,499,517,524,538,541,543,548,552,589,592,597,613,616,617,625,660,662,688,691,694,696,702,710,715,717,727,728,743,762,773,781,784,790,804,807,818,821,826,840,843,845,852,859,867,872,876,901,903,910,915,948,953,959,977], % 938
[21,22,69,74,91,99,102,107,114,119,121,122,169,170,172,174,188,198,207,210,216,231,242,243,252,266,293,304,310,315,345,361,363,369,383,402,429,435,437,439,440,477,490,491,507,530,537,548,563,564,566,596,607,616,621,626,635,637,643,647,651,655,657,664,667,678,685,686,687,705,742,755,758,761,780,783,798,803,808,812,816,820,824,825,828,829,844,860,862,865,867,870,894,906,908,910,911,919,932,944,973,978,999], % 939
[27,36,37,49,73,85,102,107,113,126,143,152,157,172,187,196,197,220,238,254,255,258,288,290,294,296,302,375,377,379,394,401,406,414,434,443,460,469,484,491,502,510,516,542,551,560,571,574,577,583,615,620,653,657,663,668,674,702,717,736,741,744,757,764,769,781,787,789,804,839,889,892,902,951,958,972,979,985,986], % 940
[6,9,25,27,29,47,50,60,67,69,87,88,89,98,109,122,131,142,144,153,159,161,171,174,208,229,234,239,258,297,321,324,339,350,359,362,365,366,379,395,397,410,425,427,434,436,438,448,462,472,496,497,501,509,523,525,526,529,537,547,557,559,577,583,593,604,607,634,651,662,666,674,699,702,728,747,750,755,763,774,784,791,792,793,795,810,825,827,837,846,862,876,879,885,887,889,904,921,927,935,944,950,964,973,984], % 941
[7,9,13,14,23,42,44,52,58,62,73,76,86,92,97,100,104,122,127,138,174,177,178,185,197,198,202,214,225,232,238,247,254,261,275,288,296,311,324,331,341,357,372,379,387,401,412,421,426,432,434,447,451,492,495,505,512,518,530,550,551,553,556,558,583,600,605,612,616,626,632,636,658,679,681,686,689,731,749,788,789,794,798,804,805,812,829,831,834,849,864,871,877,879,884,899,918,937,941,943,944,953,957,959,977,993,1000], % 942
[5,26,28,48,61,82,115,118,130,147,170,173,177,184,185,194,196,209,213,225,238,240,249,253,264,283,306,320,324,325,329,335,364,372,378,399,413,428,430,434,440,441,444,461,464,465,469,471,479,498,499,507,512,529,536,541,551,574,597,606,622,632,635,640,643,649,658,662,664,665,667,669,700,705,751,756,772,786,787,790,800,808,828,853,878,885,895,924,938,946,950,955,960,963,966,995], % 943
[29,61,67,68,76,77,96,97,109,119,128,146,155,161,178,189,200,211,222,225,232,240,247,259,262,275,294,295,301,302,303,312,316,327,340,343,353,362,365,369,377,393,401,406,435,449,452,458,466,470,488,506,507,519,527,552,581,585,598,604,637,643,663,711,719,727,735,738,757,770,776,781,787,804,807,824,828,842,861,870,875,888,893,923,932,959,961,985,995,1000], % 944
[7,17,24,44,51,73,74,79,82,100,106,108,110,124,145,177,187,195,196,206,210,246,266,273,274,277,295,296,300,305,313,321,327,337,345,359,383,394,401,416,435,439,441,443,445,451,452,484,532,541,543,544,550,552,553,562,590,594,607,609,623,650,659,665,667,674,678,679,683,698,704,707,710,727,734,736,745,760,779,782,799,816,817,828,830,832,835,836,838,845,847,850,883,902,907,913,947,955,958,976,987], % 945
[3,19,29,37,44,45,54,89,108,112,115,134,145,152,153,160,166,168,192,197,214,242,260,261,272,296,306,312,313,314,315,322,329,330,373,374,385,420,422,425,433,439,471,481,484,486,503,522,526,561,575,601,603,605,633,634,636,647,650,657,660,661,666,689,702,743,749,751,775,782,794,817,834,836,837,840,846,851,860,867,896,918,923,977,978,981,991], % 946
[19,26,36,40,56,59,63,85,88,90,91,93,102,110,135,136,137,139,140,171,188,199,212,214,251,253,263,271,320,334,365,366,378,381,387,391,418,446,452,457,469,470,476,496,531,539,549,561,567,571,607,617,626,631,651,654,676,688,700,718,725,744,782,789,791,794,795,814,834,841,873,877,884,903,923,924,937,960,981,993,997], % 947
[8,12,31,41,42,46,53,57,64,68,79,83,85,94,95,116,120,129,139,145,153,160,162,173,181,187,200,221,256,259,273,287,304,317,333,334,337,346,350,374,405,407,418,433,451,455,457,459,465,476,487,532,553,564,571,600,601,605,617,639,654,660,664,675,676,700,703,704,706,715,719,728,741,749,759,766,798,813,817,834,837,838,844,870,872,874,884,888,892,904,908,923,938,939,956,967,977,984], % 948
[13,43,46,52,54,79,82,100,103,105,117,122,154,162,163,171,179,181,191,193,207,210,213,221,232,241,256,259,260,262,269,270,278,279,285,290,297,313,323,344,355,374,377,380,388,393,399,418,446,447,487,496,499,500,517,519,524,534,540,542,550,576,582,584,598,612,616,631,641,650,652,662,664,673,692,729,731,754,756,765,786,788,807,808,836,840,851,856,883,892,918,923,924,930,932,948,953,960,965,968,976,980,992], % 949
[14,70,72,77,110,114,115,117,120,123,124,131,136,144,146,153,163,184,195,199,202,203,213,234,236,243,256,257,259,264,273,288,309,314,325,330,333,335,338,356,359,360,364,380,389,405,415,418,422,432,433,444,451,453,460,467,468,470,480,481,514,517,533,536,539,545,573,586,597,612,615,642,644,649,674,681,683,688,690,696,707,715,729,732,743,770,782,831,848,851,864,871,896,918,924,925,926,936,941,954,958,970,987,991,997], % 950
[4,5,12,16,18,24,38,49,102,105,113,120,129,133,137,138,146,151,156,157,177,182,187,189,192,221,235,238,239,247,258,308,327,334,356,357,363,376,381,382,391,397,412,417,421,431,439,443,445,450,455,467,472,482,492,496,498,501,508,512,515,531,534,540,548,575,581,597,623,637,645,648,654,670,676,687,691,718,741,750,762,777,779,785,793,811,824,825,826,832,835,851,852,862,869,871,885,896,900,901,907,908,910,918,921,934,957,975], % 951
[11,22,28,35,43,58,59,70,78,80,109,120,127,131,147,151,162,173,177,186,193,213,223,235,276,284,285,296,297,310,311,333,335,339,364,394,410,430,438,479,495,514,516,535,539,544,546,578,590,635,665,673,684,688,691,702,717,722,732,753,761,769,782,792,794,795,833,863,865,885,910,946,950,962,963,965,966,977,983,991,996], % 952
[27,30,34,36,41,44,68,71,76,77,80,82,100,104,119,120,124,136,154,162,214,269,273,282,286,293,297,302,321,332,336,347,350,353,354,359,372,378,389,391,430,440,446,458,467,472,479,480,489,496,510,528,543,563,565,586,590,592,594,597,603,609,613,623,624,626,634,645,654,665,672,685,691,697,722,728,729,733,745,763,766,772,777,793,804,831,832,846,851,855,858,861,871,873,875,877,882,883,892,906,911,917,918,936,939,949,961,963,968,973,986,987], % 953
[2,7,21,27,35,41,65,68,69,86,88,96,114,123,125,138,142,153,162,192,224,227,230,233,238,247,256,258,286,291,304,340,357,360,364,411,414,467,469,473,477,482,488,492,497,500,516,518,530,535,542,545,546,553,562,572,579,592,602,616,631,637,639,648,650,658,664,676,681,712,721,723,741,748,775,793,797,823,825,832,835,837,858,890,896,927,935,944,948,950,956,970,981,984,990,999], % 954
[2,8,18,27,33,49,52,56,69,72,73,80,81,86,91,110,114,124,145,183,194,207,222,260,267,277,288,289,304,323,326,333,344,399,408,420,449,464,467,480,488,494,497,499,514,525,547,551,561,604,610,614,620,632,634,636,647,662,666,679,686,689,692,704,708,725,734,737,738,778,798,810,816,824,835,837,855,871,873,897,916,919,924,927,928,935,969,978,979,981], % 955
[2,10,11,14,19,25,26,31,33,39,43,49,72,73,83,105,117,130,137,140,153,163,176,182,192,198,204,210,212,221,223,233,235,260,264,267,268,288,289,292,295,302,347,351,371,390,393,403,420,431,432,441,444,458,461,493,494,527,544,559,560,571,572,573,584,593,621,633,637,640,657,685,686,688,702,716,726,730,743,746,757,764,772,785,791,798,802,830,840,843,858,869,886,896,899,907,911,913,921,930,933,936,944,948,953,959,971,976,992,994,997], % 956
[14,21,46,67,98,154,158,164,176,183,188,191,194,197,200,217,220,232,241,245,256,274,286,295,318,340,355,367,395,396,397,398,408,417,423,428,429,432,445,446,452,462,463,467,490,491,498,500,504,509,518,571,573,601,603,629,640,652,654,664,670,671,682,703,711,731,745,750,756,761,771,791,812,822,826,834,856,862,866,869,872,876,888,914,915,916,934,938,960,970,991], % 957
[8,10,26,33,55,63,70,79,97,102,107,109,127,130,134,142,168,169,187,203,227,228,232,262,268,285,292,293,298,303,307,332,340,381,431,437,448,452,458,465,472,478,479,484,500,512,513,518,522,523,531,535,543,548,554,557,564,575,585,607,624,659,663,673,676,680,684,699,701,719,729,737,755,768,772,785,806,821,842,845,874,883,899,901,916,935,939,942,949,955,961,966,970,992], % 958
[5,15,22,48,51,60,69,71,72,74,76,78,105,107,109,118,135,156,161,172,178,184,207,228,231,233,234,235,263,268,276,294,295,354,357,360,365,369,370,375,387,392,396,414,417,436,439,441,448,464,467,469,470,486,496,500,520,522,530,549,552,574,583,599,606,610,611,627,655,656,659,663,672,678,707,710,722,726,732,751,765,778,798,806,810,823,837,840,841,849,852,856,860,861,862,877,881,886,889,893,903,910,940,968,996], % 959
[30,39,46,77,78,81,99,102,109,112,125,128,138,140,151,163,164,166,174,175,191,202,205,214,216,224,228,230,231,233,235,264,276,285,295,316,328,331,332,334,355,366,379,394,396,400,404,411,417,419,435,444,459,477,488,492,497,513,514,525,533,534,537,538,546,560,568,569,577,586,589,602,606,609,640,642,650,651,658,674,684,690,693,701,718,723,730,739,747,770,773,782,787,799,801,806,830,831,840,856,890,900,920,925,926,927,933,939,947,948,964,979,984,993,997], % 960
[19,22,25,28,33,37,48,54,56,79,86,92,95,107,121,126,146,154,156,158,198,214,217,269,289,345,350,359,388,393,407,417,440,445,449,474,491,508,517,525,528,541,568,589,594,607,608,619,624,644,656,659,668,675,676,702,704,710,713,732,742,748,752,762,763,767,783,788,793,797,804,807,815,820,830,841,843,852,853,885,936,938,951,975,978,995], % 961
[17,25,31,34,35,50,51,62,64,68,100,109,111,126,151,158,159,162,194,195,196,202,205,215,225,231,233,250,265,275,292,318,319,322,331,344,347,353,370,392,403,409,415,423,426,427,459,494,502,504,514,517,522,529,544,547,554,571,621,631,643,649,672,700,702,716,726,765,801,837,838,855,860,863,877,879,886,895,930,941,946,961,984,994], % 962
[4,7,8,10,16,24,29,45,66,74,95,111,117,124,129,138,146,154,161,172,212,214,218,219,220,230,231,232,239,254,262,269,278,279,303,309,311,314,318,342,348,366,376,380,384,390,404,420,423,424,433,443,444,447,449,450,455,461,465,472,477,485,487,494,499,507,516,540,544,552,558,563,564,565,618,622,645,651,685,687,701,702,710,712,733,736,740,745,755,758,759,764,776,778,779,811,822,834,837,868,893,913,915,917,926,938,939,951,955,976,988], % 963
[2,3,6,17,29,45,55,59,62,73,74,78,80,83,106,114,138,142,147,162,173,195,201,238,252,259,271,272,280,284,294,297,324,327,342,358,378,391,400,403,406,410,433,436,442,456,472,485,491,510,513,518,520,543,544,567,569,578,586,597,625,652,655,667,671,679,685,691,694,697,712,713,726,728,735,752,766,778,781,785,802,808,813,816,848,862,864,872,873,875,880,887,903,914,922,924,926,955,956,963,965,973,977,992], % 964
[1,8,9,11,19,26,33,37,43,47,76,78,98,107,123,129,133,149,164,166,177,181,214,217,226,235,237,240,244,272,277,302,310,323,326,333,341,356,365,366,371,397,405,406,423,430,437,442,446,456,461,462,471,474,475,476,486,493,495,504,521,526,528,531,536,547,573,583,592,599,604,605,610,613,633,638,645,646,652,654,657,696,700,705,707,721,722,723,731,735,746,748,762,767,771,776,782,794,800,818,846,855,892,896,897,904,907,914,926,930,933,934,939,964,979], % 965
[20,28,31,33,35,40,48,51,62,68,72,78,88,97,120,138,164,169,175,176,180,185,189,196,206,225,232,247,251,257,264,271,276,287,305,309,318,324,359,376,381,383,384,397,399,401,412,413,415,425,427,436,466,487,488,492,508,512,521,534,538,539,549,572,574,576,583,584,593,598,603,648,670,680,691,692,696,706,711,714,729,731,737,738,745,746,758,764,766,771,780,785,801,810,822,823,842,855,856,869,871,890,923,925,927,928,933,941,954,971,981,987,989], % 966
[5,16,47,52,58,71,75,79,102,112,122,132,135,140,153,179,180,200,201,206,230,234,240,242,255,259,266,269,276,277,302,328,335,343,350,351,353,375,383,404,408,418,425,453,456,459,460,462,480,508,518,519,523,524,528,530,547,554,559,567,572,576,590,600,607,621,639,641,659,667,677,686,687,708,722,743,765,785,792,803,819,835,843,853,865,869,870,880,881,889,908,909,934,936,938,940,941,949,966,972,976,979,986,996,998,999], % 967
[8,18,35,38,39,53,55,70,73,78,83,97,104,122,125,130,132,144,166,178,186,198,201,235,245,310,313,328,335,354,363,366,376,401,404,423,426,456,473,475,483,510,519,520,523,542,546,574,576,586,590,591,629,630,641,646,657,658,665,671,673,691,699,707,716,725,745,769,775,784,811,819,823,840,852,853,875,882,887,918,923,952,958,962,964,966,983,997], % 968
[20,40,46,49,65,71,76,77,79,91,95,114,120,131,147,152,160,173,174,175,178,185,192,200,211,218,219,233,237,247,255,258,279,286,305,318,323,338,342,352,358,367,368,369,391,413,433,436,437,441,455,465,467,474,482,483,492,503,511,520,527,540,545,548,549,551,562,639,641,647,648,658,671,696,716,722,725,727,732,740,751,770,774,777,778,782,787,793,806,814,825,857,861,867,879,891,894,899,902,908,917,931,946,963,982,984,1000], % 969
[4,39,41,42,52,53,56,58,81,89,91,95,98,104,114,129,134,153,164,167,171,202,206,214,224,229,235,253,260,264,270,282,291,299,313,315,329,345,350,351,362,376,388,390,392,400,401,411,412,415,418,431,482,511,516,519,525,529,535,567,574,595,600,601,613,616,634,637,649,660,665,672,680,687,690,692,712,714,715,718,723,725,737,765,768,783,789,796,797,804,812,814,825,827,834,846,856,894,902,903,926,927,928,933,952,955,962,966,973,978,998], % 970
[6,12,13,24,25,26,32,67,75,76,83,94,101,105,109,124,138,145,150,171,178,212,215,216,225,248,270,298,314,337,338,340,355,367,368,372,391,395,411,422,425,428,429,437,438,449,464,481,503,512,550,564,565,568,577,586,595,596,612,615,616,638,673,674,681,690,706,711,716,727,728,735,750,754,756,764,771,775,784,786,787,788,818,850,851,856,864,874,886,892,893,896,908,909,911,931,948,957,965,976,977,978], % 971
[5,8,18,27,28,70,75,104,113,117,124,132,147,153,158,163,165,166,174,203,221,224,225,234,247,253,256,270,286,291,310,325,364,367,381,390,391,397,403,409,414,426,432,439,442,458,477,483,495,526,572,581,589,591,594,630,640,648,658,659,672,674,693,698,725,733,753,760,801,804,806,808,810,831,849,867,878,880,888,892,913,924,958,976,1000], % 972
[12,24,31,37,64,68,69,89,96,99,115,123,129,130,156,157,175,177,178,197,220,233,248,271,277,328,329,331,352,355,359,368,372,380,382,388,401,410,443,461,475,483,484,494,501,513,516,519,525,548,556,583,588,591,599,600,601,609,610,618,625,626,638,641,657,659,662,664,666,668,673,685,686,704,727,734,736,739,746,748,750,758,766,770,775,791,807,833,834,835,841,844,845,856,859,866,872,915,924,927,934,938,951,961,966,975,976,983,991], % 973
[2,4,10,19,28,38,54,61,122,131,155,161,169,170,202,204,213,218,226,235,243,244,251,255,258,273,275,283,287,291,299,305,319,329,333,344,345,348,350,362,366,369,370,404,405,406,441,446,449,452,454,455,461,469,474,482,486,498,503,506,532,536,559,581,582,638,648,655,656,689,693,700,722,723,725,728,730,767,777,779,790,793,820,826,827,838,844,852,855,864,865,881,900,905,927,965,972,978,979,980,986,996,997], % 974
[7,19,35,53,59,64,72,76,91,113,132,147,154,187,191,211,213,216,219,224,225,227,229,232,250,254,255,273,302,333,335,338,341,344,376,396,417,422,437,444,446,452,462,473,478,511,521,525,541,561,598,608,612,633,634,641,642,643,646,655,668,669,690,704,715,727,771,772,779,790,796,801,803,819,841,846,871,872,895,898,913,946,947,972,980,982,990,997], % 975
[6,10,15,29,39,40,52,59,65,70,89,103,104,114,119,120,134,139,157,179,208,209,210,213,214,224,252,268,270,313,328,338,348,359,384,396,411,413,417,454,471,473,497,502,512,524,533,536,553,567,571,580,584,588,596,598,603,610,612,613,614,616,649,653,674,695,698,705,706,716,727,734,737,784,795,800,804,808,818,820,822,830,834,854,881,882,885,894,909,926,937,939,940,948,951,960,972,990,1000], % 976
[7,26,31,43,51,61,90,96,102,105,121,138,166,184,186,201,203,217,221,246,253,269,271,289,303,324,331,340,341,345,353,374,384,385,392,393,400,415,418,421,438,451,455,475,478,488,498,499,516,517,520,521,530,531,532,540,543,546,548,552,570,574,576,609,616,632,639,644,662,673,699,701,751,757,760,769,773,777,778,780,790,791,796,810,821,825,830,843,850,854,893,895,906,910,917,929,934,942,943,980,984,985,988,991,995], % 977
[7,12,31,34,37,73,79,80,92,97,101,104,112,122,125,162,163,165,208,210,229,230,237,255,315,335,336,337,350,359,388,401,415,419,427,431,445,458,472,481,522,531,559,570,573,596,603,605,614,617,620,621,628,630,662,671,698,702,706,707,733,749,754,764,777,781,792,826,833,834,839,842,848,860,870,874,878,895,906,909,916,919,927,932,945,964,982,989,990,994,997], % 978
[4,5,13,16,44,56,60,64,66,71,93,114,116,129,150,154,156,159,162,183,197,233,249,251,291,297,313,315,322,326,342,354,390,405,416,421,424,439,471,477,484,490,498,523,538,551,563,568,574,582,592,622,629,635,637,639,644,655,659,665,668,682,683,707,709,711,724,733,738,740,750,757,767,770,789,794,795,796,804,816,822,838,853,868,886,894,899,924,925,933,935,946,962,966,969,971,978,985,990,993,998], % 979
[16,18,40,49,56,59,62,65,77,80,96,116,139,142,147,150,152,162,178,194,209,223,232,249,253,254,255,259,265,273,288,290,312,325,365,391,394,414,427,437,450,477,484,491,504,511,512,521,524,541,550,552,554,557,563,589,606,616,620,653,657,661,668,669,699,703,708,710,730,731,738,762,769,772,774,795,816,827,856,864,874,887,895,915,930,931,934,944,945,954,965,972,973,1000], % 980
[22,25,37,59,71,75,78,90,92,122,135,144,146,175,210,214,217,218,221,229,238,240,252,261,289,304,305,313,315,316,337,349,366,378,382,388,416,420,424,432,439,443,455,467,486,499,503,514,515,526,531,550,554,560,564,568,591,598,600,604,608,612,619,624,636,641,642,643,656,665,670,679,694,697,699,706,707,708,718,735,738,741,742,746,760,774,790,793,797,799,802,806,811,821,830,848,858,861,877,881,887,893,912,926,940,946,968,976,992], % 981
[8,12,22,43,48,49,62,83,101,105,106,131,139,150,155,159,173,182,208,210,216,221,241,242,254,265,270,273,280,283,292,302,303,315,332,334,336,340,344,346,367,368,405,409,410,411,416,426,447,456,470,486,490,510,525,530,533,549,556,562,576,577,578,599,610,640,644,678,681,690,693,700,717,724,730,732,742,745,753,761,762,779,780,781,803,818,829,830,831,848,852,855,856,864,901,903,933,934,947,949,953,959,985,994,1000], % 982
[10,15,20,23,35,39,61,64,75,88,106,130,143,144,157,164,177,184,188,189,190,194,209,217,228,243,270,278,302,307,330,345,353,369,386,394,402,415,418,422,457,475,485,489,491,520,528,540,541,549,551,552,555,563,573,577,578,583,599,605,624,631,644,661,673,674,675,695,716,729,734,744,753,766,774,781,823,874,883,890,900,912,913,924,931,938,941,944,948,965,966,967,968,993,996,999], % 983
[20,32,52,54,68,87,95,113,127,137,139,146,160,182,188,203,216,223,225,226,233,246,247,252,264,266,275,290,313,317,326,349,350,356,359,388,398,411,417,421,434,436,438,439,443,453,488,497,500,506,550,562,611,625,644,658,663,673,681,684,704,742,752,755,761,766,780,782,807,811,823,834,872,878,880,881,890,893,898,899,911,932,935,937,944,959,965,974,983,987,989], % 984
[33,37,85,94,100,123,125,126,136,142,143,150,151,162,165,187,207,217,237,248,252,286,289,293,298,301,304,308,313,326,332,334,340,376,377,408,412,421,424,434,448,466,475,486,495,507,510,514,515,520,523,533,535,551,569,572,587,590,593,607,609,618,632,635,648,662,684,697,702,709,713,718,720,734,735,792,799,800,804,816,818,831,853,868,908,921,948,967,975,980,981], % 985
[14,15,31,32,63,84,93,100,105,163,179,184,186,193,204,209,228,232,234,258,272,277,301,312,316,342,356,367,381,395,402,442,448,460,468,491,496,509,523,535,537,538,545,547,562,566,567,581,613,634,637,640,644,688,692,706,707,726,732,737,741,748,749,759,761,762,772,776,778,786,789,792,795,802,811,817,825,826,832,855,877,891,901,903,911,931,959,981,995], % 986
[1,10,18,23,41,45,66,67,82,83,90,95,118,123,125,132,158,168,183,207,208,210,224,237,252,265,274,277,307,313,314,315,333,340,374,385,386,409,410,415,419,422,432,436,449,454,458,459,462,465,475,476,477,496,513,517,545,557,559,564,566,573,589,597,599,607,619,635,638,640,658,664,666,667,680,685,697,701,707,708,750,756,757,779,781,793,798,813,818,819,834,836,857,862,875,880,886,910,921,928,949,953,971,978,981], % 987
[27,48,66,74,90,93,107,115,130,135,158,166,181,184,186,200,253,259,267,270,273,279,295,303,308,311,315,318,331,373,433,439,441,457,463,472,476,484,493,499,521,528,529,543,545,557,560,572,574,579,586,589,600,602,603,615,616,637,647,666,671,678,709,712,718,743,761,764,777,785,801,810,813,829,832,833,834,841,849,856,872,892,907,935,941,950,966,972,973,984,986], % 988
[7,20,27,29,39,44,47,49,60,61,70,74,75,80,90,91,99,104,125,128,135,166,178,181,184,220,225,228,235,242,259,271,295,300,309,328,329,331,333,337,340,341,344,349,353,357,361,363,367,368,376,378,383,393,428,435,439,447,458,491,505,506,507,511,513,522,574,588,597,601,613,644,651,662,688,699,701,704,710,715,723,737,766,779,785,790,796,800,811,816,828,832,833,834,838,844,859,881,888,889,897,902,923,931,938,945,950,953,967,979], % 989
[6,17,49,51,58,61,64,79,82,94,96,101,110,121,134,148,152,154,156,157,163,171,190,198,241,254,270,281,294,295,301,302,308,319,334,348,353,358,386,389,390,395,419,422,424,427,433,444,454,493,497,502,503,515,519,523,527,569,585,589,599,608,612,613,628,641,644,651,678,679,683,687,701,722,741,759,760,770,773,776,798,808,817,822,833,863,877,878,888,891,893,902,906,908,910,915,925,927,928,935,950,965,997], % 990
[11,12,38,39,46,52,54,65,74,79,89,92,93,99,120,125,138,144,163,164,174,189,200,209,210,217,229,240,256,282,288,304,310,312,316,326,331,340,366,372,387,401,406,409,440,441,451,458,474,479,480,485,490,494,497,501,504,505,507,530,559,561,566,567,580,582,592,602,605,612,613,628,631,634,671,674,701,709,711,735,745,749,756,762,767,813,822,823,826,829,847,855,871,872,888,893,894,900,917,927,932,953,957,973,979,980,985,988,992], % 991
[7,19,20,25,26,27,47,50,71,74,83,85,94,102,105,106,129,131,135,146,167,189,199,205,210,226,227,228,235,236,248,256,277,294,297,314,315,338,354,362,369,375,376,427,430,435,438,452,465,466,472,474,480,506,507,514,518,522,545,547,551,559,571,574,575,586,596,617,634,641,670,674,701,706,748,766,771,779,785,786,789,793,795,797,808,810,811,814,815,817,837,840,841,852,862,879,880,885,887,890,902,935,939,960,972,986,990,995,996], % 992
[2,7,9,10,14,27,33,54,56,96,97,102,121,144,149,170,172,174,179,181,185,199,226,230,233,239,243,247,252,254,260,272,273,306,309,313,321,327,330,341,343,352,378,380,391,395,409,425,437,447,458,468,499,517,528,530,536,551,554,564,627,634,636,645,649,652,664,684,686,696,708,714,738,740,761,769,777,800,803,819,823,828,831,834,835,846,875,877,895,901,905,927,928,946,949,967,982,985], % 993
[2,5,12,21,24,26,40,41,63,71,76,81,86,97,107,130,139,146,159,168,173,174,188,191,196,200,201,204,219,220,226,232,233,246,256,271,274,280,286,316,318,329,332,340,361,368,381,388,389,426,444,445,456,468,475,494,503,514,548,619,630,636,646,664,675,678,691,727,740,745,760,771,785,792,799,806,813,827,836,842,843,850,856,862,910,914,930,945,953,955,973,983], % 994
[9,11,18,20,23,28,31,38,42,56,69,78,83,92,100,122,139,171,173,190,192,193,237,265,281,286,296,314,316,318,325,334,340,356,365,375,384,398,405,411,416,458,460,469,489,494,502,520,525,532,541,542,547,581,584,589,607,612,615,620,622,638,647,654,656,657,675,686,713,728,729,749,752,774,776,791,794,828,839,841,877,883,902,905,908,909,917,934,936,961,974,975,988,989], % 995
[2,10,29,30,31,37,43,63,73,88,91,101,102,104,115,140,174,182,187,203,204,214,223,226,235,237,273,276,286,297,300,310,316,328,340,344,346,349,353,356,363,367,385,393,401,406,410,418,442,460,462,475,507,536,540,547,553,560,566,569,598,603,608,611,612,619,632,639,675,679,702,703,708,715,731,748,757,771,800,803,806,816,822,827,828,833,858,861,878,881,904,906,909,912,926,935,936,941,968,976,989,990,993,999], % 996
[8,13,51,73,83,95,124,126,138,146,151,157,179,187,189,194,200,209,223,225,226,234,235,250,258,272,275,277,287,298,300,310,322,333,341,351,360,367,374,397,399,413,414,419,429,436,439,443,454,463,474,480,497,527,532,537,542,546,549,566,573,574,585,586,602,653,663,681,697,698,701,713,716,729,737,742,745,746,767,771,777,789,799,810,818,820,827,835,846,858,864,885,890,898,900,911,915,918,931,960,968,980,985,986,987,993,995], % 997
[4,29,30,36,51,75,84,87,100,120,125,128,138,147,158,162,167,197,200,214,220,221,223,243,257,262,276,283,287,298,348,373,379,380,396,402,420,425,436,446,509,510,532,549,572,587,611,613,623,627,636,637,676,678,679,684,688,699,717,726,732,744,745,759,792,797,804,810,831,833,840,852,853,889,897,920,922,937,950,954,955,972,976,990], % 998
[2,4,18,24,35,36,47,50,62,72,81,86,95,120,130,132,135,159,175,181,187,204,230,232,238,243,262,268,274,279,291,307,311,315,316,352,353,356,366,385,391,413,426,445,480,491,496,517,531,564,576,591,592,610,613,619,622,627,632,634,641,645,646,650,663,676,677,687,695,709,754,759,762,778,779,786,805,819,821,826,829,832,833,836,852,855,856,862,884,885,905,915,946,957,964,983,997], % 999
[1,12,16,23,24,27,29,40,55,60,75,78,83,88,93,106,107,119,125,134,151,161,190,195,197,198,231,233,237,257,276,280,286,292,294,296,309,311,331,350,359,363,373,377,386,401,404,406,412,429,435,439,456,457,480,482,485,498,528,531,539,558,560,584,607,616,625,644,652,657,658,686,698,710,713,723,724,729,761,762,778,794,803,820,835,838,839,849,852,853,858,867,876,877,882,894,908,922,929,943,944,946,951,960,966,993] % 1000
].