44,45,46,47,48,53,54,55,57,65,66,79,82,199,201,210,222,233,264,310,348,691],[
1,2,5,6,8,10,16,17,23,25,46,58,67,74,75,80,112,116,117,226,258,263,276,352,
692],[1,2,3,4,6,9,11,15,16,18,20,21,22,23,49,51,54,63,71,77,141,171,241,251,
253,262,267,270,693],[1,3,4,5,6,14,18,19,20,22,24,26,27,31,43,83,84,86,87,89,
93,102,104,111,115,126,129,131,133,308,362,372,373,385,694],[1,3,5,6,12,14,15,
19,20,22,28,68,93,103,107,120,122,127,134,138,289,304,358,389,390,695],[1,2,4,
6,10,11,16,23,24,53,57,65,67,81,82,91,109,119,142,225,235,329,333,338,356,359,
696],[1,2,3,5,6,8,9,10,16,17,21,22,23,44,67,72,74,76,77,78,80,81,113,216,221,
242,298,313,351,352,697],[1,2,5,6,10,16,17,23,26,30,60,75,78,99,123,136,144,
284,325,343,698],[1,2,3,5,6,9,15,17,19,23,28,49,50,105,114,120,122,124,134,
205,302,331,360,390,699],[1,2,3,6,9,15,20,23,28,49,71,105,107,114,120,124,134,
190,302,331,367,389,700],[1,2,3,5,6,9,16,17,19,21,22,23,25,29,30,50,58,77,99,
113,117,121,135,139,145,200,294,319,382,396,701],[1,2,3,6,9,13,14,21,22,23,28,
56,69,73,77,114,125,138,140,211,320,327,391,402,702],[1,2,3,5,9,16,17,19,25,
26,29,50,58,60,86,113,117,121,139,146,173,294,319,383,384,703],[1,2,3,5,6,9,
16,17,21,22,23,51,62,77,113,117,118,121,136,195,300,303,392,403,704],[1,3,5,6,
12,14,15,19,20,22,28,68,93,103,105,107,122,127,134,138,288,304,358,360,367,
705],[1,2,5,6,10,16,17,23,26,29,30,60,62,75,81,99,121,123,139,144,274,309,325,
384,396,706],[1,3,4,6,12,14,15,18,22,28,59,68,103,104,105,140,141,288,347,355,
707],[1,2,5,6,10,16,17,23,25,58,61,75,80,91,117,118,136,144,263,323,343,386,
403,708],[1,2,3,6,9,13,14,23,28,43,52,56,114,125,138,140,170,320,327,366,398,
709],[1,2,3,5,9,13,14,16,17,51,56,62,113,117,121,136,189,300,303,710],[1,2,5,
6,10,16,17,23,29,61,67,75,91,118,139,144,226,309,323,711],[1,3,5,12,14,15,19,
20,68,93,107,122,127,140,185,304,347,712],[1,3,5,12,13,14,15,19,20,68,70,93,
107,122,127,140,281,304,347,713],[1,2,4,5,6,8,10,11,17,23,31,40,66,78,80,82,
109,116,119,130,184,287,296,297,317,324,345,714],[1,2,3,6,9,15,23,28,49,63,
105,114,120,124,134,171,302,331,364,394,715],[1,2,3,5,9,16,17,20,51,62,71,113,
117,121,136,196,300,303,716],[1,3,6,12,14,15,21,28,63,68,96,97,105,110,124,
128,138,288,321,337,381,394,717],[1,2,3,6,9,13,14,16,23,28,51,56,114,125,138,
140,192,320,327,718],[1,2,3,6,8,9,10,20,23,28,44,71,72,109,114,119,198,239,
275,719],[1,2,4,6,10,11,16,23,47,53,65,78,81,82,91,109,119,142,269,272,322,
329,346,349,354,720],[1,3,6,12,13,14,15,21,22,28,52,68,69,90,94,103,134,138,
140,259,347,358,398,402,721],[1,3,6,12,13,14,15,21,28,52,68,69,90,94,96,124,
138,140,259,312,337,391,398,722],[1,3,6,12,14,15,21,28,43,68,69,96,97,98,124,
138,140,224,312,337,366,402,723],[1,2,3,5,9,15,16,17,19,25,29,49,50,58,113,
117,121,139,215,294,319,724],[1,2,5,6,10,16,17,23,29,40,74,75,91,123,136,139,
257,309,343,725],[1,3,6,12,14,15,21,22,28,43,68,69,97,98,103,134,138,140,224,
347,358,366,391,726],[1,2,4,6,10,11,16,23,40,47,65,67,81,91,109,119,142,183,
255,317,329,333,353,354,727],[1,3,4,6,12,13,14,15,18,22,28,59,68,70,103,104,
106,124,125,134,138,141,281,307,330,355,358,728],[1,2,3,6,9,13,14,20,23,28,56,
71,114,125,138,140,214,320,327,729],[1,2,4,6,8,10,11,16,23,46,47,66,78,81,109,
112,119,142,187,273,296,328,344,349,354,730],[1,3,6,12,14,15,21,63,68,97,110,
128,140,185,312,321,731],[1,3,4,5,6,12,13,14,15,18,19,20,21,22,28,30,31,52,59,
68,69,90,92,93,94,95,101,103,104,107,108,122,127,132,135,137,141,143,259,304,
306,355,361,374,387,397,400,732],[1,2,3,4,5,8,9,10,11,16,17,44,47,66,76,79,80,
81,82,113,119,233,239,242,324,338,350,354,733],[1,3,4,5,6,12,14,15,18,19,20,
21,22,28,30,31,43,59,68,69,89,93,97,98,102,103,104,107,111,115,122,127,132,
135,137,141,143,224,304,308,355,361,371,377,378,395,734],[1,2,3,5,9,16,17,51,
61,62,113,117,121,136,174,300,303,386,393,735],[1,3,4,6,12,14,15,18,22,28,59,
68,103,104,120,140,141,289,347,355,736],[1,2,5,6,10,16,17,23,61,62,75,81,91,
118,121,136,144,274,323,343,392,393,737],[1,2,4,5,6,8,10,11,17,23,31,47,53,66,
78,80,109,116,119,130,186,282,296,297,349,350,356,738],[1,2,5,6,10,16,17,23,
29,61,75,78,91,118,139,144,284,309,323,739],[1,3,6,12,13,14,15,21,27,28,42,52,
63,68,69,70,73,88,90,94,96,97,98,110,128,259,301,316,318,321,341,369,401,
740],[1,2,3,6,9,15,21,22,23,28,49,77,105,110,114,120,124,134,197,302,331,376,
381,741],[1,3,6,12,14,15,21,28,42,68,96,98,120,128,140,289,312,316,742],[1,3,
6,12,13,14,15,21,28,42,68,70,94,96,98,124,125,128,134,138,281,301,305,316,337,
743],[1,2,3,4,6,8,9,10,11,23,28,44,47,66,67,72,78,79,82,109,114,221,233,275,
345,349,353,359,744],[1,2,3,4,5,6,8,9,10,11,16,17,23,28,31,44,46,48,55,65,66,
72,76,79,80,81,91,109,112,113,114,116,123,130,142,242,264,275,293,297,328,329,
334,357,370,388,745],[1,2,4,5,6,10,11,17,23,31,47,53,65,67,80,82,109,119,123,
130,269,290,333,334,346,350,353,746],[1,2,4,5,6,10,11,17,23,31,40,47,65,78,80,
109,119,123,130,183,287,317,322,334,349,350,747],[1,2,3,5,9,16,17,19,20,25,29,
50,58,71,113,117,121,139,188,294,319,748],[1,2,5,6,8,10,16,17,23,46,67,74,75,
78,80,81,112,116,117,121,258,273,276,313,315,340,351,749],[1,2,5,6,10,16,17,
23,40,67,74,75,78,80,81,91,117,121,123,255,257,287,298,315,340,352,750],[1,2,
4,6,8,10,11,16,23,40,66,67,81,82,109,112,119,142,184,255,295,317,328,338,359,
751],[1,3,6,12,14,15,21,28,42,68,96,98,105,128,140,288,312,316,752],[1,2,4,6,
8,10,11,16,23,47,53,66,67,81,109,112,119,142,186,235,295,328,353,354,356,
753],[1,2,3,4,8,9,10,11,44,46,48,55,65,66,67,78,79,119,221,239,264,295,296,
322,333,754],[1,3,6,12,13,14,15,21,63,68,70,97,110,128,140,281,312,321,755],[
1,2,5,6,10,16,17,23,26,30,60,67,75,99,123,136,144,226,325,343,756],[1,2,5,6,
10,16,17,23,25,26,29,30,58,60,75,80,99,117,123,139,144,145,146,263,309,325,
382,383,757],[1,2,4,5,6,8,10,11,17,23,31,46,55,65,66,67,80,82,109,119,123,130,
276,279,324,333,334,344,359,758],[1,2,4,5,6,8,10,11,17,23,24,31,53,55,57,66,
67,80,82,109,116,119,130,290,291,295,297,324,346,359,759],[1,2,5,6,8,10,16,17,
23,26,27,30,46,60,61,72,74,75,76,85,91,99,112,116,118,123,144,258,323,325,326,
335,357,379,399,760],[1,3,6,12,14,15,21,28,63,68,96,97,110,120,124,128,138,
289,321,337,364,376,761],[1,2,4,5,6,8,10,11,17,23,31,46,47,66,67,80,109,116,
119,130,187,276,295,297,344,350,353,762],[1,2,4,5,6,10,11,16,17,23,31,53,62,
67,74,75,78,81,121,130,142,235,272,274,298,315,332,351,763],[1,2,4,5,6,10,11,
17,23,24,31,53,57,65,78,80,82,109,119,123,130,225,282,322,324,334,345,356,
764],[1,2,4,6,8,10,11,16,23,46,55,65,66,78,81,82,91,109,119,142,273,279,322,
329,338,344,345,765],[1,2,4,5,6,10,11,16,17,23,31,53,74,75,78,80,81,117,121,
130,142,272,282,284,298,313,332,340,766],[1,2,4,6,8,10,11,16,23,24,53,55,57,
66,78,81,82,109,112,119,142,272,291,296,328,338,345,346,767],[1,2,4,5,6,10,11,
16,17,23,25,31,53,58,67,74,75,78,80,117,130,142,263,282,290,313,315,332,352,
768],[1,2,4,5,6,10,11,16,17,23,31,53,67,74,75,80,81,117,121,130,142,226,235,
290,332,340,351,352,769],[1,2,5,6,8,10,16,17,23,29,46,74,75,112,116,136,139,
258,309,343,770],[1,3,5,6,12,13,15,19,20,21,28,70,96,100,105,107,120,122,125,
127,134,299,305,342,360,367,389,390,771],[1,3,6,12,13,15,21,22,28,63,70,90,
103,105,110,120,124,125,128,330,341,342,364,376,381,394,772],[1,2,5,6,8,16,17,
23,61,62,76,112,117,118,136,144,219,335,339,386,392,393,403,773],[1,2,4,5,6,8,
11,16,17,23,29,31,55,72,76,130,136,139,142,293,336,339,774],[1,3,4,5,6,12,13,
14,15,18,19,20,21,22,28,30,31,52,59,70,73,89,90,92,94,95,97,98,100,101,102,
103,106,107,108,111,115,122,127,132,135,137,141,143,299,307,311,314,318,371,
374,375,377,378,387,395,397,400,775],[1,3,4,5,6,13,14,18,19,20,22,24,26,27,31,
52,83,84,86,87,89,92,93,95,100,101,102,104,106,108,111,115,126,129,131,133,
306,311,314,362,363,365,368,372,373,380,385,776],[1,2,5,6,8,16,17,23,25,26,29,
30,58,60,76,99,116,121,139,144,145,146,218,326,336,382,383,384,396,777],[1,2,
7,32,39,163,404,778],[1,3,7,12,14,15,68,147,185,779],[1,2,3,4,7,9,11,12,18,32,
38,41,54,59,147,155,168,408,411,780],[1,2,3,7,8,9,10,12,32,41,44,45,147,158,
166,408,781],[1,2,3,6,7,9,12,13,14,21,22,23,32,33,34,41,56,77,94,98,147,154,
248,405,406,408,782],[1,2,3,5,7,9,12,17,19,20,32,35,41,50,71,127,147,156,223,
408,412,783],[1,2,3,7,9,10,32,37,45,47,151,167,407,784],[1,2,6,7,10,23,32,36,
47,78,109,152,349,407,785],[1,2,3,6,7,9,12,15,21,22,23,32,36,41,49,77,128,147,
152,230,408,419,786],[1,2,3,7,9,12,32,37,41,42,147,151,164,408,415,787],[1,2,
5,7,10,17,32,35,40,78,80,156,287,409,788],[1,2,7,10,16,32,40,67,81,157,255,
409,789],[1,2,3,7,9,12,16,20,32,41,51,71,147,157,245,408,790],[1,2,7,10,16,32,
47,81,119,157,354,407,791],[1,2,3,7,8,9,10,32,37,40,44,46,151,165,409,792],[1,
2,6,7,10,23,32,33,34,47,67,109,154,353,407,793],[1,2,4,7,8,10,11,32,40,66,82,
158,184,409,794],[1,2,4,7,8,10,11,32,38,46,47,66,155,187,407,795],[1,2,4,7,10,
11,32,38,40,47,65,155,183,409,796],[1,2,4,7,8,10,11,32,47,53,66,158,186,407,
797],[1,2,5,7,10,17,32,35,47,80,119,156,350,407,798],[1,2,6,7,10,23,32,36,40,
109,119,152,317,409,799],[1,2,6,7,10,23,32,33,34,40,109,119,154,317,409,800],[
1,3,4,5,6,7,12,14,18,19,20,21,31,33,35,38,59,98,111,115,127,137,143,147,159,
395,405,411,412,801],[1,3,4,5,6,7,12,13,18,19,20,21,31,34,35,38,59,94,101,108,
127,137,143,147,160,387,406,411,412,802],[1,2,3,4,7,9,11,18,24,32,37,54,57,83,
148,151,172,410,427,803],[1,2,3,7,9,15,32,37,49,63,151,171,420,804],[1,3,6,7,
15,28,34,36,37,63,105,124,162,394,420,805],[1,2,3,5,7,9,17,19,26,32,37,50,60,
86,150,151,173,413,433,806],[1,2,3,7,9,13,14,32,37,43,52,56,151,170,418,807],[
1,2,5,7,17,25,26,29,32,35,58,60,139,146,150,156,383,413,423,808],[1,2,5,7,17,
25,26,29,32,35,58,60,139,146,149,156,383,416,422,809],[1,2,5,7,16,17,26,29,32,
60,121,139,150,157,384,413,810],[1,2,3,7,9,16,32,37,51,61,151,174,417,811],[1,
3,6,7,12,14,15,21,28,33,36,37,42,68,96,98,128,147,161,316,405,415,419,812],[1,
2,7,16,32,61,62,136,157,393,417,813],[1,3,6,7,14,28,33,36,37,43,138,140,161,
366,418,814],[1,3,6,7,12,13,15,21,28,34,36,37,42,70,94,96,128,147,162,301,406,
415,419,815],[1,2,5,6,7,17,23,25,29,30,32,36,58,99,139,145,149,152,382,416,
430,816],[1,3,6,7,15,28,33,36,37,63,120,124,161,364,420,817],[1,2,4,7,8,10,11,
24,32,57,65,66,148,158,217,410,818],[1,2,5,7,8,16,17,25,32,58,76,121,149,158,
218,416,819],[1,2,4,7,11,24,32,38,57,64,148,155,169,410,431,820],[1,2,5,7,16,
17,32,35,61,117,136,156,386,417,821],[1,2,6,7,16,23,32,33,34,62,118,136,154,
392,414,822],[1,2,7,16,32,61,62,136,157,393,414,823],[1,2,5,7,8,16,17,32,62,
76,117,158,219,414,824],[1,3,6,7,14,28,34,36,37,43,138,140,162,366,418,825],[
1,2,3,4,5,6,7,8,9,11,16,17,23,28,31,32,33,34,35,36,37,38,48,112,113,114,116,
130,142,151,152,154,155,156,157,158,159,160,161,162,370,425,426,429,434,435,
436,437,826],[1,2,3,6,7,9,21,22,23,27,32,37,77,84,85,88,151,153,181,424,428,
432,827],[1,2,3,7,9,20,32,37,71,87,151,182,421,828],[1,4,24,39,64,829],[1,3,
12,39,42,830],[1,2,3,8,9,10,12,13,14,15,41,44,45,49,56,68,70,166,175,179,185,
206,208,281,445,455,831],[1,2,3,9,10,13,14,16,43,45,47,51,52,56,61,81,167,170,
174,175,176,189,192,285,446,482,511,832],[1,2,3,5,8,9,10,12,16,17,19,25,41,44,
45,50,51,58,62,75,76,80,81,113,117,121,166,176,178,193,212,218,219,231,242,
263,274,294,303,340,444,456,479,522,571,833],[1,2,3,5,9,10,15,17,19,26,45,47,
49,50,60,63,80,86,122,167,171,173,178,179,205,215,254,450,457,507,834],[1,2,3,
4,8,9,10,11,12,18,24,40,41,44,45,47,53,54,57,65,66,79,82,166,167,177,183,184,
186,194,210,213,217,222,225,233,269,348,441,442,453,497,592,835],[1,2,3,4,8,9,
10,11,12,18,24,40,41,42,44,45,46,47,48,53,54,55,57,59,65,66,79,82,83,164,165,
166,167,168,172,177,180,194,199,201,210,213,222,233,264,310,348,439,441,449,
453,470,691,836],[1,2,3,6,9,10,20,21,22,23,27,45,47,71,77,84,85,87,88,109,132,
167,181,182,202,204,237,247,249,250,487,659,660,837],[1,2,3,8,9,10,13,14,15,
20,40,43,44,46,49,52,56,63,71,87,107,165,170,171,182,190,198,208,214,220,244,
286,481,493,506,679,838],[1,2,3,5,6,8,9,10,16,17,19,21,22,23,26,27,30,40,44,
46,50,51,60,61,72,74,75,76,77,84,85,86,88,91,99,112,116,118,123,135,144,165,
173,174,181,193,195,200,216,227,232,257,258,261,323,325,326,335,357,379,399,
463,513,519,525,641,760,839],[1,2,3,6,9,12,13,14,15,21,22,23,27,28,41,42,43,
49,52,56,63,68,69,70,73,77,84,85,88,90,94,96,97,98,103,110,114,128,164,170,
171,181,197,206,207,211,224,230,234,248,259,301,316,318,321,341,369,401,492,
503,520,526,612,740,840],[1,2,3,8,9,10,12,41,44,45,119,166,239,256,292,474,
841],[1,2,3,5,9,12,16,17,19,20,26,41,42,50,51,60,61,71,86,87,113,127,164,173,
174,182,188,196,209,212,223,245,252,485,489,505,568,842],[1,2,3,4,8,9,10,11,
12,18,41,44,45,47,54,65,66,67,78,79,82,166,167,177,191,203,210,213,221,222,
233,268,440,441,452,466,475,843],[1,2,3,5,8,9,10,12,16,17,19,41,44,45,50,51,
75,76,80,81,113,119,166,176,178,193,212,231,239,242,256,292,444,474,490,509,
844],[1,2,3,4,6,8,9,10,11,12,18,20,21,22,23,28,41,44,45,47,54,65,66,71,72,74,
77,79,82,96,103,109,114,131,143,166,167,177,198,202,204,207,209,210,213,216,
222,233,238,249,250,275,277,278,441,443,448,487,491,540,577,845],[1,2,3,4,6,8,
9,10,11,12,13,14,15,18,21,22,23,28,41,42,44,45,48,49,54,56,59,68,70,72,74,77,
79,94,96,98,103,104,106,109,114,128,141,164,166,168,175,179,199,202,206,207,
208,210,216,230,248,266,270,275,278,301,307,316,355,439,443,445,460,478,498,
503,561,846],[1,2,3,5,9,10,15,17,19,45,47,49,50,67,80,167,178,179,191,254,440,
450,847],[1,2,3,6,8,9,10,12,13,14,15,21,22,23,28,41,44,45,49,56,68,70,72,74,
77,96,103,109,114,124,125,134,138,166,175,179,202,206,207,208,216,275,278,302,
305,327,330,337,358,443,445,461,484,541,563,848],[1,2,3,8,9,10,12,13,14,15,41,
44,45,49,56,68,70,119,166,175,179,206,208,239,256,292,445,474,686,849],[1,2,3,