324,350,355,369,853],[1,2,7,14,21,22,100,188,432,439,854],[1,3,7,8,9,10,11,27,
40,42,46,48,55,59,88,93,105,227,261,263,308,334,366,400,855],[1,5,8,9,12,14,
24,53,54,61,72,82,91,108,113,160,309,311,402,425,427,433,856],[1,4,5,9,11,12,
13,14,28,29,32,66,76,79,94,96,103,110,113,215,294,331,333,386,390,416,857],[1,
4,6,7,8,11,12,13,32,39,43,51,52,55,56,61,65,66,67,70,73,77,78,86,89,93,96,97,
99,102,104,246,252,256,293,305,317,325,332,339,361,363,422,423,441,858],[1,2,
5,6,8,12,13,23,26,45,54,64,65,72,74,77,91,223,279,302,309,327,409,421,859],[1,
6,7,9,10,14,30,39,47,48,58,84,87,107,112,203,207,240,314,357,412,440,860],[1,
2,3,4,5,6,12,13,20,26,28,31,63,67,69,74,76,103,156,277,282,333,348,376,417,
861],[1,3,7,8,9,10,14,40,42,47,48,59,71,80,82,87,105,230,239,261,314,341,364,
413,862],[1,3,7,8,9,10,12,13,40,42,45,53,60,61,72,75,84,90,99,204,270,274,385,
401,402,418,863],[1,5,8,10,12,14,24,45,54,61,75,82,91,106,109,160,307,327,383,
384,401,426,864],[1,5,8,9,11,12,14,53,54,61,72,73,79,82,89,91,108,113,253,309,
311,384,392,402,414,865],[1,4,7,8,11,12,38,47,51,52,66,68,70,81,83,89,101,262,
268,336,375,410,411,419,866],[1,4,5,9,11,13,14,29,31,32,76,78,85,94,98,103,
110,113,225,287,328,331,348,389,435,867],[1,3,7,8,11,12,13,38,46,47,50,62,68,
81,83,86,90,101,232,268,326,336,340,344,370,868],[1,5,7,9,10,14,30,33,47,48,
57,84,87,106,113,203,212,284,314,342,431,436,869],[1,5,6,7,9,14,27,33,48,49,
57,88,95,107,113,150,284,324,330,368,373,400,870],[1,5,6,7,9,11,12,14,38,48,
49,55,58,79,88,95,104,107,113,213,295,330,349,366,369,408,871],[1,5,7,8,9,10,
14,33,48,53,57,68,71,84,87,105,106,113,217,284,359,364,365,377,431,872],[1,2,
14,21,100,135,432,439,873],[1,3,5,7,8,11,12,33,46,50,51,63,68,71,79,81,83,101,
217,218,321,326,345,378,419,874],[1,5,7,9,10,14,30,33,47,58,59,84,87,106,113,
200,212,224,357,413,431,440,875],[1,5,6,7,9,11,13,14,37,48,49,55,57,85,88,95,
97,107,113,216,241,330,366,368,371,393,876],[1,5,8,10,12,13,14,24,54,60,64,72,
75,82,91,102,106,109,222,307,309,353,385,426,433,877],[1,2,8,9,10,12,13,23,44,
45,53,60,61,72,74,75,102,105,229,279,300,385,401,402,418,878],[1,3,7,8,11,12,
13,27,37,38,40,46,51,55,56,60,61,62,86,89,90,93,96,98,99,102,209,232,233,243,
263,270,299,310,317,329,339,360,372,407,879],[1,3,4,7,8,11,19,40,41,46,47,50,
52,70,71,83,219,239,244,321,344,410,437,880],[1,7,9,12,13,14,27,37,48,56,57,
62,88,95,99,108,110,209,241,347,367,371,373,400,881],[1,5,6,7,10,14,27,33,49,
58,59,88,95,106,112,150,224,316,324,334,352,408,882],[1,2,3,4,14,20,36,80,94,
100,103,194,231,282,883],[1,3,5,6,7,8,9,10,12,13,14,40,42,48,49,56,59,63,64,
69,77,80,92,95,105,106,107,108,109,110,111,112,113,237,247,261,330,352,355,
367,442,444,446,448,884],[1,6,8,9,11,12,13,14,53,61,65,72,73,82,86,91,104,107,
110,256,392,394,402,409,414,425,885],[1,6,8,9,12,13,14,24,53,61,65,72,77,82,
91,102,107,110,251,384,394,402,409,427,433,886],[1,6,8,10,11,13,14,60,65,72,
73,75,82,91,97,98,111,112,259,353,381,385,409,414,415,887],[1,6,7,8,9,10,14,
39,48,53,58,68,71,84,87,105,107,112,240,285,320,364,365,412,430,888],[1,6,7,9,
11,12,13,14,39,48,55,56,58,88,95,97,104,108,110,240,246,343,350,366,367,369,
889],[1,4,6,10,12,14,18,25,31,66,67,94,103,109,112,151,159,376,382,388,398,
406,890],[1,5,7,8,9,10,14,33,58,59,68,71,75,84,87,105,106,113,217,224,320,341,
429,430,431,891],[1,5,8,9,12,13,14,24,45,53,54,60,64,82,91,102,108,113,222,
311,327,354,383,418,427,892],[1,4,5,9,13,14,18,28,29,76,78,94,103,110,113,152,
161,331,333,351,388,435,893],[1,4,6,10,11,12,14,25,28,32,66,67,89,94,103,104,
109,112,297,305,328,382,390,406,417,894],[1,7,10,12,13,14,27,37,56,58,59,62,
88,95,99,109,111,209,275,316,334,350,355,371,895],[1,6,7,10,11,12,13,14,39,55,
56,57,59,88,95,97,104,109,111,246,283,308,343,347,355,393,896],[1,4,5,6,7,8,
11,12,13,32,38,43,49,51,52,54,55,61,66,67,70,73,76,77,79,86,89,93,96,97,99,
102,104,201,213,215,253,262,305,306,315,323,339,361,363,372,422,441,897],[1,3,
5,6,7,8,11,12,13,38,41,43,46,49,50,55,61,62,63,64,65,69,73,79,85,86,89,90,93,
96,97,98,99,102,104,213,232,256,313,318,337,338,346,358,362,363,372,403,407,
434,898],[1,3,5,6,7,8,11,12,13,24,40,49,50,51,54,56,60,61,62,63,64,65,69,73,
77,79,85,86,89,90,93,96,97,98,102,104,222,233,237,251,278,306,317,319,338,358,
360,362,422,424,434,899],[1,3,5,7,8,11,12,13,33,41,43,46,50,51,54,55,56,61,63,
64,73,79,85,86,89,90,93,96,98,99,102,201,208,218,253,310,313,317,318,319,322,
338,339,346,358,900],[1,2,14,21,36,100,175,432,439,901],[1,3,6,7,11,13,30,39,
46,47,62,69,81,83,97,198,206,207,344,370,379,404,902],[1,3,7,8,14,40,80,83,91,
92,95,219,247,291,903],[1,3,4,5,9,12,13,14,19,29,31,63,66,76,90,94,103,110,
113,154,248,331,348,387,398,416,904],[1,3,7,11,12,13,30,38,46,62,71,81,83,86,
90,198,232,286,321,336,379,405,905],[1,4,7,8,11,13,37,47,52,62,68,70,78,81,83,
98,101,235,292,340,370,410,411,428,906],[1,7,9,10,13,14,30,37,48,57,71,84,87,
110,111,203,241,260,335,359,364,436,907],[1,4,5,7,8,11,13,33,52,62,68,70,71,
76,81,83,85,101,217,234,340,345,405,411,437,908],[1,6,7,9,10,14,30,39,47,57,
59,84,87,107,112,200,207,283,342,412,413,436,909],[1,2,5,6,8,9,10,12,13,14,23,
26,44,53,54,64,65,74,75,77,82,92,100,105,106,107,108,109,110,111,112,113,223,
257,300,307,311,381,394,442,445,448,449,910],[1,3,7,8,14,30,40,57,58,68,80,82,
87,162,211,230,320,377,436,440,911],[1,3,6,7,8,11,12,13,39,41,43,46,50,55,56,
60,62,65,69,73,77,86,89,90,93,96,97,98,99,102,104,202,206,246,259,310,318,332,
360,363,403,407,422,424,434,912],[1,2,14,36,100,139,380,438,913],[1,6,8,9,13,
14,24,45,53,60,65,82,91,107,110,155,353,383,394,418,421,427,914],[1,3,5,6,7,8,
11,12,13,37,41,43,46,49,50,51,54,55,60,63,69,73,77,79,85,86,89,90,93,96,97,98,
99,102,104,216,243,272,306,313,318,319,329,337,339,346,363,403,422,424,915],[
1,4,5,6,7,8,11,12,13,32,37,43,49,52,55,60,62,64,65,67,70,73,76,78,79,85,86,93,
96,97,98,99,102,202,216,225,235,252,259,313,323,329,338,356,361,362,407,423,
916],[1,2,8,12,13,14,23,60,61,74,82,91,92,100,102,229,257,302,353,354,384,425,
917],[1,2,3,4,12,13,14,20,28,31,66,74,78,80,90,94,100,156,228,231,351,389,390,
398,918],[1,5,6,7,9,14,27,39,48,49,58,88,95,107,113,157,240,316,330,343,400,
408,919],[1,7,9,10,13,14,30,37,58,59,71,84,87,110,111,200,260,275,335,341,430,
440,920],[1,2,3,4,5,6,8,11,12,13,20,23,26,34,50,54,60,61,63,64,65,66,67,69,70,
74,76,77,78,79,85,86,89,90,96,97,98,102,104,178,223,228,229,277,315,319,356,
358,391,396,423,424,434,441,921],[1,4,6,7,11,12,30,39,47,51,52,67,81,83,104,
199,207,293,374,375,404,410,922],[1,5,8,10,11,12,14,45,54,61,73,75,79,82,89,
91,106,109,253,307,327,399,401,415,425,923],[1,2,8,14,23,36,100,193,380,438,
924],[1,2,11,14,34,36,100,190,380,438,925],[1,2,3,4,9,10,12,13,20,25,29,42,44,
66,74,78,90,103,149,228,282,397,406,416,435,926],[1,3,7,8,40,45,72,83,88,219,
227,274,927],[1,6,8,9,11,13,14,45,53,60,65,73,82,91,97,98,107,110,259,354,392,
394,399,418,421,928],[1,4,6,9,11,12,14,29,31,32,66,67,89,94,103,104,107,108,
287,305,328,376,395,398,416,929],[1,3,4,6,9,12,13,14,19,29,31,67,69,78,90,94,
103,107,108,154,304,376,387,389,395,435,930],[1,4,6,9,12,14,18,28,29,66,67,94,
103,107,108,151,161,388,390,395,416,417,931],[1,4,6,9,11,12,13,14,28,29,32,67,
78,86,94,97,103,107,108,252,294,351,386,395,417,435,932],[1,4,6,10,11,12,13,
14,25,31,32,67,78,86,94,97,103,109,112,245,252,376,382,386,389,397,933],[1,5,
8,10,11,12,13,14,54,60,72,73,75,82,85,91,96,106,109,272,307,309,354,385,414,
415,934],[1,2,8,9,10,23,36,44,53,75,91,105,176,300,302,935],[1,7,10,12,13,14,
27,38,51,56,57,59,88,95,99,109,111,299,301,334,347,349,355,373,936],[1,5,8,9,
11,12,13,14,45,53,54,60,73,82,85,91,96,108,113,272,311,327,353,392,399,418,
937],[1,3,5,7,11,12,30,33,46,47,51,63,79,81,83,198,212,218,344,345,374,375,
938],[1,5,6,7,10,14,27,39,49,57,59,88,95,106,112,157,283,334,343,352,368,373,
939],[1,3,7,8,11,40,41,81,88,91,101,214,227,291,940],[1,2,14,36,100,141,380,
438,941],[1,2,11,14,21,34,100,196,432,439,942],[1,6,7,8,9,10,14,39,57,59,68,
71,75,84,87,105,107,112,283,285,341,359,377,412,429,943],[1,4,7,11,13,30,37,
52,62,71,78,81,83,98,199,235,260,379,405,428,437,944],[1,2,8,11,14,23,34,45,
72,82,92,100,101,179,257,279,443,447,945],[1,4,5,7,8,11,12,13,32,33,43,52,54,
55,56,60,62,64,66,70,73,76,78,79,85,86,93,96,98,99,102,208,215,225,234,272,
313,315,322,325,338,356,360,361,407,946],[1,4,5,7,11,13,30,33,47,52,62,76,81,
83,85,199,212,234,345,370,379,410,947],[1,3,4,6,10,12,13,14,19,25,28,67,69,78,
90,94,103,109,112,158,304,351,382,387,397,417,948],[1,7,8,9,10,13,14,37,47,58,
59,68,75,84,87,105,110,111,275,292,320,335,357,413,429,949],[1,6,8,10,11,12,
13,14,45,61,65,73,75,82,86,91,104,111,112,256,381,384,399,401,415,421,950],[1,
3,6,7,8,11,13,39,46,50,62,68,69,71,81,83,97,101,206,285,321,326,340,404,405,
951],[1,2,3,4,5,6,9,10,12,13,14,20,25,26,29,42,44,63,67,69,74,76,80,94,100,
106,107,108,109,110,111,112,113,149,231,277,312,331,382,395,444,445,446,449,
952],[1,6,8,10,12,13,14,24,45,61,65,75,77,82,91,102,111,112,251,381,383,401,
421,425,426,953],[1,6,8,10,13,14,24,60,65,72,75,82,91,111,112,155,354,381,385,
409,426,433,954],[1,7,8,9,10,12,14,38,47,57,59,68,75,84,87,105,108,109,268,
301,342,377,413,420,429,955],[1,2,15,16,17,114,117,122,450,956],[1,9,15,16,17,
123,126,450,957],[1,14,15,16,17,125,129,133,450,958],[1,10,15,16,17,124,127,
450,959],[1,5,15,16,17,115,132,450,960],[1,6,15,16,17,116,130,450,961],[1,14,
15,16,17,128,131,133,450,962],[1,2,15,21,114,135,963],[1,2,16,21,117,135,
964],[1,2,3,4,16,18,19,20,117,134,451,965],[1,2,7,15,22,30,114,138,452,966],[
1,3,7,8,15,30,40,68,121,162,452,967],[1,6,7,15,30,39,47,116,207,452,968],[1,7,
13,15,30,37,71,119,260,452,969],[1,7,12,15,30,38,71,118,286,452,970],[1,5,7,
15,30,33,47,115,212,452,971],[1,4,7,8,15,30,35,68,120,153,452,972],[1,2,3,4,
15,18,19,20,114,120,121,134,455,461,470,973],[1,2,3,4,17,18,19,20,122,134,454,
974],[1,4,9,17,18,28,29,123,161,454,975],[1,4,10,17,18,25,31,124,159,454,
976],[1,4,5,13,15,18,76,78,115,119,120,152,455,459,469,977],[1,4,6,12,15,18,
66,67,116,118,120,151,455,463,465,978],[1,4,7,11,15,30,52,81,120,199,452,
979],[1,7,9,10,15,30,59,84,126,200,452,980],[1,7,14,15,30,58,87,125,440,452,
981],[1,7,9,10,15,30,48,84,127,203,452,982],[1,7,13,15,30,62,83,119,379,452,
983],[1,2,16,36,117,141,984],[1,3,7,11,15,30,46,81,121,198,452,985],[1,7,12,
15,30,51,83,118,374,452,986],[1,7,14,15,30,57,87,128,436,452,987],[1,2,17,21,
122,135,988],[1,2,16,21,117,135,476,989],[1,4,5,13,17,18,76,78,132,152,454,
990],[1,7,14,17,27,58,95,129,316,467,991],[1,5,8,12,17,24,54,61,132,160,472,
992],[1,4,6,12,17,18,66,67,130,151,454,993],[1,4,10,12,15,25,66,103,118,120,
127,406,462,465,473,994],[1,7,10,17,27,59,88,124,334,467,995],[1,4,9,13,15,29,
78,103,119,120,126,435,459,462,474,996],[1,2,7,17,22,27,122,137,467,997],[1,4,
5,9,13,14,15,29,76,94,110,113,115,119,120,125,126,331,460,469,474,483,485,
998],[1,3,4,9,15,19,29,31,120,121,126,154,461,464,474,999],[1,4,6,12,15,31,67,
103,116,118,120,376,462,463,464,1000],[1,4,6,12,15,28,67,103,116,118,120,417,
456,457,463,1001],[1,4,6,9,12,14,15,29,67,94,107,108,116,118,120,126,128,395,
463,471,474,480,482,1002],[1,4,9,12,15,29,66,103,118,120,126,416,457,465,474,
1003],[1,3,4,14,15,19,94,103,120,121,128,387,461,462,471,1004],[1,2,3,4,15,20,
103,114,120,121,282,457,462,470,1005],[1,2,3,4,9,10,15,20,25,29,42,44,114,120,
121,126,127,149,470,473,474,478,486,1006],[1,7,14,17,27,57,95,131,373,467,
1007],[1,4,12,14,15,28,66,94,118,120,128,390,456,465,471,1008],[1,4,14,15,18,
94,103,120,125,388,455,460,462,1009],[1,6,8,13,17,24,60,65,130,155,472,1010],[
1,4,13,14,15,28,78,94,119,120,125,351,456,459,460,1011],[1,8,14,17,24,72,82,
129,433,472,1012],[1,5,6,7,17,27,39,49,132,157,467,1013],[1,3,4,10,15,19,25,
28,120,121,127,158,456,461,473,1014],[1,4,5,13,15,28,76,103,115,119,120,333,
456,462,469,1015],[1,4,5,10,13,14,15,25,76,94,106,111,115,119,120,127,128,312,
469,471,473,477,481,1016],[1,4,6,10,12,14,15,25,67,94,109,112,116,118,120,125,
127,382,460,463,473,487,489,1017],[1,8,10,17,24,75,91,124,426,472,1018],[1,7,
9,17,27,48,88,123,400,467,1019],[1,4,10,13,15,25,78,103,119,120,127,397,457,
459,473,1020],[1,2,3,4,5,6,12,13,15,20,26,63,67,69,74,76,114,115,116,118,119,
120,121,277,453,458,463,466,468,469,470,1021],[1,2,3,4,14,15,20,80,94,100,114,
120,121,125,128,231,460,470,471,479,488,1022],[1,4,9,15,18,28,29,120,126,161,
455,456,474,1023],[1,2,8,17,23,24,122,136,472,1024],[1,4,5,13,15,31,76,103,
115,119,120,348,457,464,469,1025],[1,8,9,17,24,53,91,123,427,472,1026],[1,3,4,
14,15,19,94,103,120,121,125,387,457,460,461,1027],[1,4,14,15,18,94,103,120,
128,388,455,457,471,1028],[1,4,13,14,15,31,78,94,119,120,128,389,459,464,471,
1029],[1,2,3,4,15,20,28,31,114,120,121,156,456,464,470,1030],[1,3,4,5,12,13,
15,19,63,66,76,90,115,118,119,120,121,248,461,465,468,469,484,1031],[1,2,3,4,
12,13,15,20,66,74,78,90,114,118,119,120,121,228,459,465,466,470,484,1032],[1,
8,14,17,24,45,82,131,383,472,1033],[1,4,12,14,15,31,66,94,118,120,125,398,460,
464,465,1034],[1,3,4,6,12,13,15,19,67,69,78,90,116,118,119,120,121,304,458,
459,461,463,484,1035],[1,4,14,17,18,94,103,129,388,454,1036],[1,5,6,7,17,27,
33,49,130,150,467,1037],[1,4,14,17,18,94,103,131,388,454,1038],[1,4,10,15,18,
25,31,120,127,159,455,464,473,1039],[1,2,17,36,122,139,1040],[1,2,9,10,12,13,
14,15,44,74,100,108,109,110,111,114,118,119,125,126,127,128,449,466,478,480,
481,485,487,488,1041],[1,3,6,9,10,13,14,15,42,69,80,107,110,111,112,116,119,
121,125,126,127,128,444,458,479,481,482,485,486,489,1042],[1,4,14,16,18,94,
103,133,388,451,1043],[1,5,11,12,17,43,79,89,132,201,490,1044],[1,6,11,13,17,
43,97,98,130,202,490,1045],[1,3,5,9,10,12,14,15,42,63,80,106,108,109,113,115,