290,292,599],[1,4,5,6,7,9,10,12,27,30,45,46,47,55,56,64,69,70,77,79,81,83,221,
243,269,271,272,274,275,281,600],[1,4,5,8,9,12,30,33,50,52,53,66,69,71,76,78,
81,83,200,248,269,276,278,289,292,296,601],[1,3,6,8,9,10,12,25,37,49,50,56,64,
66,67,78,79,82,83,156,238,268,273,274,279,287,296,602],[1,3,5,6,7,9,10,12,25,
29,42,45,53,55,56,64,66,67,76,77,80,81,222,238,281,282,285,289,291,295,603],[
1,2,5,6,9,10,12,15,31,46,53,56,62,66,70,76,79,81,82,193,244,272,273,289,290,
297,302,604],[1,3,5,6,7,9,10,12,25,29,42,45,53,55,56,67,70,71,76,77,82,83,222,
246,270,271,276,279,295,297,605],[1,3,4,7,8,9,11,19,26,42,43,52,58,61,63,65,
68,72,73,182,237,240,253,280,284,288,294,606],[1,2,5,6,9,10,12,15,31,46,53,56,
62,64,71,76,79,80,83,193,245,274,276,285,298,300,302,607],[1,2,7,8,9,10,12,20,
31,48,50,55,62,66,70,77,78,80,83,177,244,271,282,286,293,296,300,608],[1,8,12,
14,28,44,78,201,239,609],[1,2,3,4,7,8,9,10,12,13,20,31,42,47,49,52,62,67,69,
76,77,78,79,191,247,275,278,286,287,295,302,610],[1,7,8,12,14,43,51,77,154,
239,611],[1,4,6,8,9,10,12,27,37,48,52,56,64,69,70,76,78,80,82,220,243,268,278,
285,293,297,299,612],[1,2,3,4,5,6,9,10,12,13,15,25,27,29,30,31,62,67,69,80,81,
82,83,108,247,269,279,290,291,299,300,613],[1,3,4,7,8,10,11,21,26,43,47,49,60,
61,63,65,68,73,74,218,236,242,252,280,283,288,301,614],[1,2,3,4,7,8,9,10,11,
13,20,31,42,47,49,52,59,61,63,65,68,72,74,191,241,249,250,283,284,294,301,
615],[1,3,5,8,10,12,29,33,46,48,49,67,70,71,78,79,80,81,187,246,272,287,291,
292,293,298,616],[1,4,5,6,7,9,10,12,27,30,45,46,47,55,56,66,69,71,77,79,80,82,
221,248,270,273,275,282,298,299,617],[1,2,9,10,31,84,303,304,305,618],[1,10,
11,57,74,228,306,619],[1,2,11,57,59,226,306,620],[1,7,11,57,73,227,306,621],[
1,3,11,57,58,230,306,622],[1,8,11,57,75,225,306,623],[1,4,11,57,60,229,306,
624],[1,9,11,57,72,231,306,625],[1,2,5,6,7,8,14,15,17,20,22,23,24,33,34,37,40,
45,86,90,94,97,99,101,103,117,121,124,140,202,308,314,315,323,327,626],[1,2,3,
4,5,6,7,8,9,10,13,15,19,20,21,23,24,25,26,27,28,29,30,31,36,38,40,42,43,47,49,
52,54,87,89,101,102,107,108,109,110,111,112,113,123,129,130,133,138,159,166,
182,191,205,212,218,309,310,311,335,336,338,339,349,357,627],[1,5,8,22,24,28,
33,39,85,87,88,103,104,122,151,219,332,421,422,628],[1,2,3,4,5,6,7,8,9,10,13,
14,15,17,19,20,21,23,24,25,26,27,29,30,31,33,36,37,38,40,42,45,46,47,48,49,50,
52,53,54,55,56,86,89,90,97,101,105,106,108,118,121,123,124,129,130,133,137,
138,140,156,159,166,177,187,191,193,200,204,207,210,211,217,220,221,222,315,
318,319,337,340,344,349,373,419,436,483,629],[1,5,8,14,22,24,33,39,85,90,103,
122,151,219,308,415,422,630],[1,3,5,6,7,8,10,14,16,17,19,24,29,33,34,35,36,37,
40,45,46,48,49,90,92,97,99,105,116,129,132,134,137,140,141,142,187,195,202,
314,316,318,351,355,410,420,631],[1,4,5,6,7,8,9,14,17,18,21,24,30,33,34,37,38,
40,41,45,50,52,53,90,93,97,99,106,118,120,127,131,133,136,139,140,198,200,202,
313,314,319,393,400,404,409,632],[1,4,5,8,9,14,16,21,22,24,30,33,35,38,50,52,
53,90,95,103,106,115,118,125,126,133,141,142,160,200,308,316,319,342,361,388,
389,633],[1,2,5,6,7,8,14,15,16,17,18,20,23,24,33,35,37,40,41,45,86,90,91,97,
101,121,124,128,136,139,140,141,142,149,152,216,313,315,316,363,375,376,401,
634],[1,5,6,8,14,22,24,32,33,34,90,98,103,148,178,213,308,417,418,635],[1,3,5,
8,10,14,18,19,22,24,29,33,36,41,46,48,49,90,96,103,105,129,135,136,137,139,
143,147,187,194,308,313,318,345,350,367,402,636],[1,3,5,8,10,19,22,24,28,29,
33,36,39,41,49,87,103,104,109,110,129,135,139,194,219,309,331,332,345,395,
637],[1,3,5,6,8,10,19,24,28,29,32,34,35,36,37,49,87,99,100,109,110,129,134,
142,195,213,309,322,328,383,420,638],[1,4,5,8,9,21,22,24,28,30,33,35,38,39,52,
87,103,104,112,113,126,133,142,160,219,310,328,332,389,413,639],[1,5,6,7,8,17,
22,23,24,28,33,34,37,39,40,45,51,87,103,104,117,121,140,145,158,202,206,219,
321,327,332,358,411,640],[1,2,5,6,7,8,9,10,15,20,23,24,31,32,36,38,39,40,46,
48,50,53,54,55,56,100,101,104,114,118,137,138,150,176,177,193,204,210,211,214,
223,320,324,329,406,419,464,494,641],[1,5,7,8,14,22,23,24,32,33,43,51,90,100,
102,103,145,154,172,186,308,321,330,346,381,642],[1,5,8,22,24,28,33,39,87,103,
104,181,219,332,403,643],[1,4,5,6,8,9,21,24,28,30,32,34,37,38,41,52,87,99,100,
112,113,120,133,139,198,213,310,322,331,364,404,644],[1,5,6,8,22,24,28,32,33,
34,37,39,87,98,99,100,103,104,144,146,148,178,179,213,219,322,332,362,418,458,
459,645],[1,5,8,10,18,22,24,28,33,36,39,41,46,48,87,103,104,136,137,143,163,
176,190,194,219,329,332,333,367,370,646],[1,5,6,7,8,10,16,23,24,34,35,36,37,
39,43,46,48,99,102,104,132,137,141,162,169,176,189,195,326,329,334,353,355,
647],[1,5,8,9,16,22,24,28,33,35,38,39,50,53,87,103,104,115,118,141,160,171,
208,214,219,324,332,334,360,361,648],[1,5,8,22,24,28,33,35,39,87,103,104,142,
219,328,332,649],[1,5,8,14,22,24,28,33,39,44,87,90,103,104,119,180,201,219,
308,325,332,371,392,650],[1,5,8,22,24,28,33,39,87,103,104,151,219,332,415,
651],[1,2,5,6,7,8,15,20,22,23,24,28,32,33,34,37,39,40,43,45,87,94,99,100,101,
102,103,104,107,111,114,117,124,150,169,172,202,213,219,311,320,322,323,326,
330,332,444,474,652],[1,2,5,6,7,8,15,20,23,24,28,35,40,41,43,87,101,102,107,
111,139,142,152,216,311,328,331,363,369,653],[1,5,6,7,8,17,22,23,24,32,33,34,
37,40,43,44,45,100,102,103,117,119,121,140,157,172,202,203,325,327,330,366,
416,654],[1,5,6,7,8,9,18,23,24,34,37,38,39,41,43,50,53,99,102,104,118,127,136,
167,169,185,198,214,324,326,333,354,393,655],[1,5,8,22,24,28,32,33,39,87,103,
104,148,219,332,417,656],[1,2,5,6,7,8,15,20,22,23,24,33,34,37,40,44,45,51,94,
99,101,103,117,119,124,145,192,197,202,321,323,325,365,387,657],[1,5,8,22,24,
28,33,39,41,87,103,104,139,219,331,332,658],[1,2,5,6,7,8,15,16,18,20,23,24,32,
35,39,40,41,91,100,101,104,114,128,136,141,149,150,152,320,333,334,376,390,
659],[1,5,8,22,24,28,33,39,87,103,104,183,219,332,379,660],[1,2,5,6,7,8,15,20,
23,24,32,39,40,100,101,104,114,150,181,183,320,379,403,455,479,661],[1,5,8,16,
22,24,35,39,88,104,122,141,151,183,219,334,379,421,662],[1,3,5,6,7,8,9,10,17,
19,24,25,29,32,35,36,37,38,40,42,44,45,46,48,49,50,53,55,56,100,116,118,119,
123,129,137,140,142,156,174,184,195,204,217,222,223,366,373,383,391,406,410,
414,663],[1,5,7,8,22,23,24,32,33,39,43,100,102,103,148,151,172,330,415,417,
664],[1,3,5,6,7,8,9,10,16,17,19,22,23,24,25,29,33,34,35,36,37,38,40,41,42,45,
49,50,53,55,56,92,103,115,116,117,118,121,123,129,131,132,134,135,139,140,141,
149,156,160,194,198,202,204,216,217,222,327,345,351,352,361,373,375,409,485,
486,491,665],[1,2,5,6,7,8,9,10,15,16,18,20,22,23,24,31,33,34,35,36,37,38,40,
41,45,46,48,50,53,54,55,56,91,94,99,101,103,115,117,118,124,127,128,132,136,
137,138,141,143,149,152,160,177,193,194,195,198,202,204,210,211,323,355,359,
361,367,376,393,419,429,486,499,666],[1,4,5,6,7,8,9,10,17,21,24,27,30,35,36,
37,38,39,40,45,46,47,48,51,52,55,56,104,116,130,133,137,140,142,145,161,176,
195,204,207,215,220,221,329,344,398,399,410,411,413,667],[1,5,6,8,16,24,32,34,
35,39,104,141,144,146,179,181,213,334,362,403,668],[1,4,5,6,8,9,10,16,21,24,
30,34,35,36,37,38,41,44,46,48,51,52,99,119,120,132,133,137,139,141,145,153,
161,195,198,209,215,343,355,365,368,398,404,412,669],[1,3,5,8,9,10,14,19,24,
29,32,33,35,36,38,46,48,49,50,51,53,90,100,105,118,125,129,137,142,145,160,
164,165,187,223,318,341,342,346,383,399,406,670],[1,3,5,6,7,8,9,10,16,17,19,
24,25,28,29,35,36,37,38,40,42,45,49,50,51,53,55,56,87,92,109,110,116,118,123,
129,132,134,140,141,145,155,156,158,164,165,171,199,204,206,208,217,222,309,
341,351,358,360,373,374,437,452,456,472,671],[1,5,6,8,9,10,16,18,24,28,32,34,
35,36,37,38,41,46,48,50,53,87,99,100,118,127,132,136,137,141,163,171,190,195,
198,208,213,223,322,355,360,370,390,393,406,672],[1,3,5,6,7,8,9,10,14,17,18,
19,24,25,29,33,34,35,36,37,38,40,41,42,45,49,50,53,55,56,90,96,97,99,118,123,
125,127,128,129,134,135,136,140,142,143,147,156,160,195,198,202,204,216,217,
222,314,342,350,373,377,393,401,420,485,497,499,673],[1,2,5,6,7,8,9,10,14,15,
17,20,23,24,31,33,35,36,37,38,40,41,45,46,48,50,53,54,55,56,86,90,97,101,116,
118,121,124,125,131,137,138,139,140,142,147,152,160,177,193,194,195,198,204,
210,211,216,315,342,348,363,402,409,410,419,429,491,497,674],[1,4,5,8,9,10,18,
21,22,24,30,33,35,36,38,41,46,48,51,52,103,126,133,136,137,142,143,145,160,
161,170,173,194,215,321,367,380,389,398,399,405,675],[1,5,6,8,24,28,32,34,35,
37,41,87,99,100,139,142,213,322,328,331,676],[1,5,7,8,9,10,16,18,22,23,24,32,
33,35,36,38,41,43,46,48,50,53,100,102,103,115,118,136,137,141,143,160,162,167,
172,185,189,194,223,330,353,354,361,367,390,406,677],[1,5,7,8,9,14,18,23,24,
33,35,38,41,43,50,51,53,90,102,118,125,136,139,142,145,154,160,167,185,186,
313,342,354,369,381,394,405,678],[1,3,4,5,6,7,8,9,10,17,18,19,21,23,24,25,26,
29,30,36,37,38,40,41,42,43,44,45,47,49,50,52,53,54,55,56,93,102,118,119,120,
123,127,129,131,133,136,140,156,157,166,167,168,175,182,185,188,196,203,204,
205,212,217,218,222,354,357,372,373,382,400,416,432,434,435,445,679],[1,2,5,6,
7,8,9,10,15,20,23,24,31,35,36,38,40,41,44,46,48,50,51,53,54,55,56,101,118,119,
137,138,139,142,145,152,177,192,193,197,204,210,211,216,363,387,394,399,412,
414,419,680],[1,5,8,10,22,24,36,39,46,48,88,104,122,137,151,176,181,219,329,
403,421,484,496,681],[1,5,8,9,22,24,38,39,50,53,88,104,118,122,151,183,214,
219,324,379,421,466,481,682],[1,5,6,7,8,10,16,17,23,24,35,36,37,40,41,43,44,
45,46,48,102,116,119,137,139,140,141,142,149,157,162,189,195,203,216,353,369,
375,408,410,412,416,683],[1,5,6,7,8,17,22,23,24,32,33,34,37,39,40,45,98,103,
117,121,140,146,148,151,169,178,202,213,327,356,415,418,489,684],[1,5,6,7,8,
23,24,34,37,39,43,99,102,104,169,181,183,326,379,403,685],[1,3,5,8,10,18,19,
22,24,29,33,36,41,44,46,48,49,103,119,129,135,136,137,139,143,174,184,188,194,
196,325,345,367,372,391,407,412,686],[1,3,5,6,8,10,16,19,24,29,34,35,36,37,44,
46,48,49,51,99,119,129,132,134,137,141,142,145,155,174,184,195,199,355,365,
374,391,399,408,420,687],[1,2,5,6,7,8,15,20,22,23,24,32,34,39,40,88,94,100,
101,104,114,122,144,146,148,150,151,169,172,178,179,213,219,312,320,347,362,
385,386,396,421,444,458,477,688],[1,5,6,7,8,17,22,23,24,32,33,34,37,39,40,45,
85,103,117,121,122,140,148,151,172,178,202,219,327,378,417,422,489,689],[1,5,
7,8,10,14,16,23,24,33,35,36,41,43,46,48,51,90,102,137,139,141,142,145,147,154,
162,186,189,194,316,343,353,369,381,399,402,690],[1,4,5,6,7,8,9,16,17,18,21,
24,30,32,35,37,38,40,41,44,45,52,93,100,119,120,127,131,133,136,139,140,141,
149,153,209,216,364,366,368,375,390,400,407,691],[1,5,6,7,8,10,17,18,24,28,35,
36,37,40,41,45,46,48,51,87,116,128,136,137,140,142,145,158,163,190,195,206,
216,328,358,370,399,401,405,410,692],[1,3,5,6,8,9,10,18,19,24,29,34,35,36,37,
38,41,44,49,50,51,53,99,118,119,127,129,134,136,142,145,164,165,188,195,196,
198,341,365,372,393,405,414,420,693],[1,2,5,6,7,8,14,15,17,20,23,24,28,33,37,
40,43,44,45,51,86,87,90,97,101,102,107,111,119,121,124,140,145,154,157,158,
180,186,192,197,201,203,206,311,315,358,371,381,387,416,424,425,448,462,694],[
1,5,6,7,8,14,17,24,28,32,33,34,37,40,44,45,51,87,90,97,99,100,119,140,145,158,
180,201,202,206,213,314,322,346,358,365,366,371,695],[1,3,5,8,10,14,16,18,19,
24,29,32,33,35,36,41,49,51,90,96,100,129,135,136,141,142,143,145,147,155,199,
316,346,350,374,383,390,405,696],[1,5,8,9,14,16,24,28,33,35,38,44,50,53,87,90,
118,119,125,141,142,160,171,180,201,208,316,328,342,360,371,408,414,697],[1,3,
5,8,10,14,18,19,24,28,29,33,36,41,44,46,48,49,87,90,96,105,109,110,119,129,
135,136,137,143,147,163,174,180,184,187,188,190,196,201,309,318,350,370,371,
372,391,451,465,469,490,698],[1,3,5,6,7,8,9,10,17,19,24,25,29,36,37,38,39,40,
41,42,45,49,50,51,53,55,56,104,118,123,129,131,139,140,145,156,164,165,198,
204,214,217,222,324,341,373,394,395,409,411,699],[1,3,5,8,10,14,19,24,29,33,
36,39,41,44,46,48,49,90,104,105,119,129,137,139,147,174,176,184,187,194,318,
329,391,392,395,402,412,700],[1,2,3,4,5,6,7,8,9,10,13,15,19,20,21,23,24,25,26,
27,29,30,31,32,35,36,38,39,40,41,42,47,49,52,54,89,100,101,104,108,114,123,
129,130,133,138,139,142,150,152,159,166,191,216,320,349,363,364,383,395,413,
701],[1,4,5,6,7,8,9,10,17,18,21,22,23,24,27,30,33,34,35,36,37,38,40,41,45,46,
47,48,52,55,56,93,103,116,117,120,121,126,127,128,130,131,133,136,137,140,142,
143,160,194,195,202,204,207,216,220,221,327,344,367,384,389,400,401,410,491,
498,499,702],[1,4,5,6,7,8,9,17,18,21,24,30,35,37,38,39,40,41,45,51,52,93,104,
120,127,128,131,133,136,140,142,145,170,173,216,333,380,400,401,405,411,413,
703],[1,2,3,4,5,6,7,8,9,10,13,15,16,18,19,20,21,23,24,25,26,27,29,30,31,35,36,
38,40,41,42,44,47,49,51,52,54,89,91,101,108,119,123,128,129,130,133,136,138,
141,145,149,152,153,155,159,166,170,173,188,191,192,196,197,199,209,349,368,
372,374,376,380,387,457,476,478,487,704],[1,3,5,6,7,8,10,16,17,19,24,29,35,36,
37,39,40,41,45,49,51,92,104,116,129,132,134,139,140,141,145,149,155,199,216,
334,343,351,374,375,395,411,705],[1,3,5,6,7,8,10,16,17,18,19,24,29,32,35,36,
37,40,41,44,45,49,92,100,116,119,128,129,132,134,136,140,141,142,188,196,216,
351,366,372,383,390,401,408,706],[1,3,4,5,6,7,8,9,10,16,17,19,21,23,24,26,27,
29,30,35,36,37,38,40,42,43,44,45,46,47,48,49,52,54,55,56,92,102,116,119,129,
130,132,133,134,137,140,141,153,157,162,166,174,182,184,189,203,204,205,207,
209,212,218,220,221,344,351,353,357,368,391,416,438,442,468,492,707],[1,2,5,6,
7,8,9,10,15,16,18,20,23,24,28,31,35,36,38,40,41,43,46,48,50,53,54,55,56,87,91,
101,102,107,111,118,128,136,137,138,141,149,152,162,163,167,171,177,185,189,
190,193,204,208,210,211,311,353,354,360,370,376,419,427,428,430,431,708],[1,4,