417,624],[1,2,5,6,9,11,15,21,22,33,38,39,55,71,78,127,191,195,220,411,625],[1,
2,5,6,8,11,15,21,22,33,38,39,57,71,78,127,187,201,220,414,626],[1,2,3,4,9,16,
19,23,27,44,55,66,97,115,194,208,283,406,627],[1,2,3,4,6,9,16,19,23,28,32,34,
39,54,55,66,81,89,132,144,194,207,321,406,424,628],[1,2,3,4,7,9,16,19,23,26,
43,46,55,58,66,70,114,121,194,203,226,406,421,629],[1,2,3,4,7,9,16,19,23,26,
41,43,46,55,60,66,112,114,160,166,194,206,308,406,423,630],[1,2,3,4,5,6,9,16,
19,23,24,25,29,36,38,53,54,55,66,85,88,117,118,120,128,194,204,304,405,406,
407,631],[1,4,6,10,13,22,28,42,45,80,130,198,213,222,632],[1,4,5,6,10,13,15,
22,24,25,31,35,47,84,111,123,198,200,213,224,633],[1,2,3,4,9,11,16,17,19,23,
30,37,55,65,66,75,87,116,194,195,223,406,416,634],[1,2,3,4,9,16,19,23,27,55,
66,97,194,205,225,406,635],[1,3,5,6,7,10,21,35,36,46,48,49,50,59,61,73,141,
147,172,178,199,215,378,412,436,636],[1,3,5,6,7,8,12,34,36,44,46,49,50,56,57,
72,135,147,167,171,188,209,350,419,425,637],[1,2,5,6,7,9,20,26,35,38,48,49,50,
55,60,77,134,139,172,182,197,206,359,418,429,638],[1,3,5,6,7,10,15,36,40,46,
49,50,51,59,61,76,143,147,173,174,193,215,349,417,432,639],[1,3,5,6,10,21,35,
36,44,51,59,73,135,143,199,210,356,412,640],[1,2,3,4,7,9,12,18,19,26,43,44,46,
55,60,64,114,115,151,167,189,206,274,415,431,641],[1,4,5,7,8,14,25,41,43,50,
56,57,62,102,106,145,170,196,209,312,413,439,642],[1,2,3,4,9,12,18,19,27,41,
55,64,97,112,189,208,296,415,643],[1,3,4,7,10,12,23,30,43,44,46,59,61,74,121,
133,167,177,190,215,348,420,427,644],[1,2,5,6,9,20,27,35,38,51,55,77,146,149,
197,208,392,418,645],[1,3,5,6,10,12,21,31,33,34,35,36,42,59,72,73,93,108,138,
199,202,236,412,434,646],[1,3,4,10,12,13,18,23,30,37,59,63,74,96,101,122,198,
202,235,422,428,647],[1,3,5,6,10,15,36,40,44,48,59,76,135,141,193,210,353,417,
648],[1,3,4,10,13,23,44,59,63,133,198,210,294,422,649],[1,3,4,7,10,13,23,41,
43,46,59,61,63,107,121,148,166,198,215,324,422,438,650],[1,2,5,6,8,11,38,39,
48,51,57,71,139,146,187,211,340,414,651],[1,2,4,6,9,16,17,24,28,29,32,37,39,
45,54,55,75,99,118,132,153,162,165,194,207,379,405,416,424,652],[1,2,5,6,7,9,
15,26,33,38,49,50,51,55,60,78,134,146,174,180,191,206,338,411,430,653],[1,2,5,
6,9,15,27,33,38,48,55,78,139,149,191,208,384,411,654],[1,3,5,6,8,12,34,36,48,
51,57,72,141,143,188,211,381,419,655],[1,4,6,7,9,16,24,29,41,43,49,54,58,60,
70,104,118,136,154,160,164,194,214,395,405,421,423,656],[1,3,4,10,12,23,30,41,
44,59,74,107,133,190,210,372,420,657],[1,2,5,6,9,11,20,31,35,38,39,40,42,55,
71,77,94,119,142,195,197,233,418,441,658],[1,2,5,6,7,8,11,26,27,38,39,49,50,
56,57,71,95,134,149,179,187,209,344,408,414,659],[1,2,4,5,6,9,16,17,25,28,29,
32,37,38,47,53,54,55,75,126,128,132,137,152,162,194,204,391,407,416,424,660],[
1,4,5,8,14,25,51,57,62,159,196,211,328,413,661],[1,4,5,6,8,14,15,25,31,33,35,
40,45,47,57,62,92,111,124,155,196,201,234,413,433,662],[1,4,5,7,9,16,25,29,41,
43,50,53,58,60,70,102,128,154,160,168,170,194,212,389,407,421,423,663],[1,2,3,
4,10,11,17,19,41,44,59,65,112,115,192,210,289,410,664],[1,2,3,4,7,10,11,17,19,
26,27,43,46,59,61,65,95,97,114,131,192,215,285,410,440,665],[1,2,5,6,7,9,11,
26,27,38,39,49,50,53,54,55,58,60,71,95,134,149,179,195,203,204,205,206,207,
208,212,214,344,409,426,435,437,442,443,444,666],[1,5,9,15,52,53,184,191,
667],[1,6,9,20,52,54,186,197,668],[1,2,8,11,52,185,187,216,400,669],[1,5,8,51,
52,57,184,211,216,403,449,670],[1,2,3,4,11,12,13,14,16,17,18,19,23,30,37,63,
64,65,66,68,69,74,75,86,87,90,96,101,116,122,129,217,218,219,223,229,232,235,
250,253,264,287,450,452,457,671],[1,2,3,4,5,6,11,12,13,14,15,17,18,19,20,21,
22,24,25,28,31,33,34,35,36,38,39,40,42,45,47,62,64,65,67,68,71,72,73,76,77,78,
80,84,85,89,92,93,94,98,99,100,103,108,109,110,111,113,119,123,124,126,127,
130,138,142,150,155,156,161,163,169,217,220,221,222,224,228,231,233,234,236,
240,245,248,252,290,291,292,303,326,330,331,333,370,373,376,451,467,468,479,
490,672],[1,2,3,4,11,12,13,14,17,18,19,29,32,64,65,68,79,81,82,83,88,91,140,
162,217,227,230,241,255,272,280,461,464,673],[1,2,3,4,11,12,13,14,17,18,19,29,
32,64,65,68,79,81,82,83,88,91,140,162,217,227,230,241,255,272,280,461,466,
674],[1,2,3,4,7,12,13,14,16,17,18,19,23,26,30,37,41,43,46,63,64,66,68,69,70,
74,75,86,87,90,96,101,107,112,114,116,121,122,125,129,145,148,160,166,219,226,
232,235,244,250,253,264,273,287,297,300,308,323,324,325,332,457,465,472,493,
563,675],[1,2,3,4,12,13,14,16,17,18,19,23,27,30,37,44,63,64,66,68,69,74,75,86,
87,90,96,97,101,115,116,122,129,133,219,225,232,235,247,250,253,264,275,278,
283,287,294,457,469,498,676],[1,2,3,4,5,6,11,12,13,14,17,18,19,24,25,28,29,32,
34,36,38,39,45,47,62,64,65,67,68,71,72,79,80,81,82,83,84,85,88,89,91,92,99,
103,109,110,113,126,140,161,162,217,227,228,230,231,241,242,245,246,249,252,
255,258,272,277,280,333,336,451,461,483,507,542,556,677],[1,2,3,4,5,6,7,13,14,
16,17,18,19,23,24,25,26,28,29,30,36,37,38,41,43,46,47,49,50,62,63,66,67,68,69,
70,79,82,84,85,86,88,102,104,105,106,107,112,113,114,116,117,118,120,121,122,
125,126,128,134,136,145,147,148,154,157,160,164,166,168,170,226,228,230,232,
237,238,239,244,257,265,266,268,270,273,281,286,297,299,302,304,305,308,312,
323,324,325,339,342,346,360,362,363,383,389,393,395,460,470,493,503,512,519,
562,569,574,591,678],[1,2,3,4,6,13,14,16,17,18,19,23,24,28,30,32,34,37,39,41,
45,63,66,67,68,69,80,81,83,86,89,91,99,103,107,112,116,122,125,132,144,227,
231,232,244,256,261,300,301,321,332,462,472,587,679],[1,2,3,4,5,6,13,14,16,17,
18,19,24,25,28,30,32,36,37,38,47,48,62,67,68,69,75,81,83,84,85,87,90,91,113,
126,129,139,141,152,153,158,227,228,229,243,271,295,306,318,322,327,459,494,
584,680],[1,2,3,4,5,6,13,14,16,17,18,19,23,24,25,27,28,29,30,36,37,38,44,47,
62,63,66,67,68,69,79,82,84,85,86,88,97,113,115,116,117,118,120,122,126,128,
133,135,149,225,228,230,232,239,247,251,257,260,262,266,267,270,275,283,304,
320,335,460,495,498,504,527,528,681],[1,2,3,4,5,6,11,12,13,14,16,17,18,19,23,
24,25,28,29,30,32,34,36,37,38,39,45,47,62,63,64,65,66,67,68,69,71,72,74,75,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,96,99,101,103,109,110,113,116,117,118,
120,122,126,128,129,132,137,140,144,152,153,161,162,165,217,223,227,228,229,
230,231,232,239,241,243,245,252,255,256,257,261,264,266,270,271,272,280,287,
295,298,301,304,314,318,319,321,333,341,347,355,364,374,379,385,391,450,451,
459,460,461,462,463,547,554,557,558,567,592,682],[1,2,3,4,5,6,13,14,16,17,18,
19,24,25,28,30,32,36,37,38,47,51,62,67,68,69,75,81,83,84,85,87,90,91,113,126,
129,143,146,152,153,159,227,228,229,243,271,295,307,310,318,328,459,482,537,
683],[1,2,3,4,11,12,13,14,16,17,18,19,23,29,30,32,37,63,64,65,66,68,69,74,75,
79,81,82,83,86,87,88,90,91,96,101,116,122,129,140,162,217,223,227,229,230,232,
241,254,255,259,263,264,269,272,276,280,287,313,450,461,489,502,543,545,684],[
1,2,3,4,6,13,14,16,17,18,19,23,24,28,30,32,34,37,39,44,45,63,66,67,68,69,80,
81,83,86,89,91,99,103,115,116,122,132,133,144,227,231,232,247,256,261,278,294,
301,321,462,469,585,685],[1,2,3,4,6,12,13,14,16,17,18,19,23,24,28,29,30,32,34,
37,39,45,63,64,66,67,68,69,74,75,80,81,82,83,86,87,89,90,91,96,99,101,103,116,
118,120,122,129,132,137,140,144,153,162,165,219,227,231,232,235,239,243,250,
253,254,256,261,263,264,269,272,276,287,298,301,313,321,347,355,374,379,457,
462,486,491,502,518,529,545,558,686],[1,2,3,4,5,6,13,14,15,17,18,19,20,21,22,
24,25,27,28,31,33,34,35,36,38,39,40,42,44,45,47,51,62,67,68,73,76,77,78,80,84,
85,92,97,98,99,100,103,108,109,110,111,113,115,119,123,124,126,127,130,135,
138,142,143,146,149,150,155,156,159,161,163,169,224,228,234,240,248,260,262,
275,290,291,292,303,307,310,328,330,333,335,345,356,373,376,382,392,482,490,
495,511,552,687],[1,2,3,4,5,6,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,
31,32,33,34,35,36,37,38,39,40,42,45,47,62,63,66,67,68,69,73,76,77,78,79,80,82,
83,84,85,86,88,92,98,99,100,103,108,109,110,111,113,116,117,118,119,120,122,
123,124,126,127,128,130,137,138,140,142,144,150,152,153,155,156,161,162,163,
165,169,224,228,230,232,234,239,240,246,248,249,256,257,258,266,270,277,280,
290,291,292,295,303,304,314,330,333,336,347,364,373,374,376,385,458,460,471,
474,483,487,490,497,542,554,588,688],[1,2,3,4,7,13,14,16,17,18,19,23,26,29,30,
32,37,41,43,44,46,63,66,68,69,70,82,86,91,107,112,114,115,116,121,122,125,133,
140,145,148,160,162,166,226,232,244,247,254,263,272,273,276,278,294,297,308,
323,324,325,469,493,502,509,526,689],[1,2,3,4,5,6,7,13,14,17,18,19,24,25,26,
28,29,32,36,38,41,43,46,47,49,50,51,62,67,68,79,83,84,85,102,104,105,106,112,
113,114,126,134,136,140,143,145,146,147,148,159,162,170,228,238,246,258,265,
273,277,280,281,286,299,302,307,310,312,328,470,482,483,508,510,690],[1,2,3,4,
6,13,14,16,17,18,19,23,24,28,29,30,32,34,37,39,45,67,68,69,75,79,80,82,86,87,
88,89,90,91,96,99,101,103,116,118,120,122,129,132,137,140,144,153,162,165,218,
229,230,231,239,243,250,253,259,263,269,272,276,287,298,301,313,314,319,347,
355,374,379,452,463,480,481,489,518,529,543,558,691],[1,2,3,4,5,6,7,13,14,16,
17,18,19,24,25,26,27,28,30,32,36,37,38,41,43,44,46,47,49,50,62,67,68,69,75,81,
83,84,85,87,90,91,97,102,104,105,106,112,113,114,115,126,129,131,134,135,136,
145,147,148,149,152,153,170,177,227,228,229,238,243,260,262,265,271,273,275,
279,281,282,286,288,293,295,299,302,311,312,316,317,318,329,335,459,470,495,
517,530,539,540,544,553,692],[1,2,3,4,5,6,7,13,14,15,17,18,19,20,21,22,24,25,
26,28,31,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,62,67,68,73,76,77,78,
80,84,85,92,98,99,100,102,103,104,105,106,108,109,110,111,112,113,114,119,123,
124,126,127,130,134,136,138,139,141,142,145,147,148,150,155,156,158,161,163,
169,170,172,178,181,182,224,228,234,238,240,248,265,273,281,286,290,291,292,
299,302,303,306,312,322,327,330,333,343,354,357,359,361,373,376,378,380,386,
470,490,494,514,516,520,538,594,693],[1,2,3,4,12,13,14,16,17,18,19,23,27,30,
37,41,44,63,64,66,68,69,74,75,86,87,90,96,97,101,107,112,115,116,122,125,129,
133,219,225,232,235,244,247,250,253,264,275,283,287,296,300,329,332,352,372,
457,472,485,498,525,694],[1,2,3,4,6,7,13,14,16,17,18,19,24,26,27,28,29,30,34,
37,39,41,43,44,45,46,67,68,69,75,79,80,82,87,88,89,90,97,99,103,112,114,115,
129,131,137,145,148,154,157,164,165,168,171,177,179,229,230,231,237,251,267,
268,273,275,284,293,298,305,309,311,314,315,316,319,320,329,334,342,360,463,
503,504,513,515,517,531,533,570,695],[1,2,3,4,5,6,7,13,14,15,17,18,19,20,21,
22,24,25,26,28,31,33,34,35,36,38,39,40,41,42,43,45,46,47,49,50,51,62,67,68,73,
76,77,78,80,84,85,92,98,99,100,102,103,104,105,106,108,109,110,111,112,113,
114,119,123,124,126,127,130,134,136,138,142,143,145,146,147,148,150,155,156,
159,161,163,169,170,173,174,176,180,224,228,234,238,240,248,265,273,281,286,
290,291,292,299,302,303,307,310,312,328,330,333,337,338,349,358,365,373,376,
387,390,396,470,482,490,559,560,571,576,597,696],[1,2,3,4,5,6,13,14,17,18,19,
24,25,27,28,29,32,36,38,44,47,51,62,67,68,79,83,84,85,97,113,115,126,135,140,
143,146,149,159,162,228,246,258,260,262,275,277,280,307,310,328,335,482,483,
495,697],[1,2,3,4,13,14,16,17,18,19,23,27,29,30,32,37,41,44,63,66,68,69,82,86,
91,97,107,112,115,116,122,125,133,140,162,225,232,244,247,254,263,272,275,276,
283,300,332,472,498,502,698],[1,2,3,4,5,6,13,14,16,17,18,19,23,24,25,28,29,30,
36,37,38,41,44,47,62,63,66,67,68,69,79,82,84,85,86,88,107,112,113,115,116,117,
118,120,122,125,126,128,133,228,230,232,239,244,247,257,266,270,278,294,300,
304,332,460,469,472,524,577,699],[1,2,3,4,5,6,13,14,15,16,17,18,19,20,21,22,
24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,42,45,47,62,67,68,69,73,75,76,77,
78,79,80,81,83,84,85,87,90,91,92,98,99,100,103,108,109,110,111,113,118,119,
123,124,126,127,128,129,130,132,137,138,140,142,150,152,153,155,156,161,162,
163,165,169,224,227,228,229,234,240,242,243,246,248,257,258,261,271,277,280,
290,291,292,295,303,314,318,330,333,336,341,355,373,376,379,391,459,483,490,
497,506,556,567,588,589,700],[1,2,3,4,5,6,13,14,16,17,18,19,23,24,25,28,29,30,
32,36,37,38,47,62,67,68,69,75,81,82,83,84,85,86,87,90,91,96,101,113,116,117,
122,126,128,129,132,137,140,144,152,153,162,165,218,227,228,229,243,250,253,
254,259,269,270,271,272,276,287,295,298,301,313,318,341,364,385,391,452,456,
459,475,481,488,489,491,518,545,557,701],[1,2,3,4,5,6,12,13,14,16,17,18,19,23,
24,25,28,29,30,32,36,37,38,47,62,63,64,66,67,68,69,74,75,79,82,84,85,86,87,88,
90,91,96,101,113,116,117,118,120,122,126,128,129,132,137,140,144,152,162,165,
219,228,230,232,235,239,250,253,254,257,259,263,264,266,270,271,272,276,287,
298,301,304,313,341,364,385,391,453,457,460,475,480,486,488,502,529,543,557,
702],[1,2,3,4,5,6,13,14,16,17,18,19,20,21,22,24,25,28,29,30,31,32,33,34,35,36,
37,38,39,40,42,45,47,67,68,69,75,79,80,82,83,84,87,88,89,90,92,93,94,98,99,
100,103,108,109,110,113,118,119,123,124,126,127,128,129,130,132,137,138,140,
142,150,152,153,155,156,161,162,163,165,169,222,229,230,231,240,242,246,248,
249,257,261,277,280,291,295,298,314,319,326,331,333,336,341,355,370,373,376,
379,391,463,471,479,496,507,542,567,588,589,703],[1,2,3,4,5,6,11,12,13,14,17,
18,19,24,25,28,34,36,38,39,45,47,48,51,62,64,65,67,68,71,72,80,84,85,89,92,99,
103,109,110,113,126,139,141,143,146,158,159,161,217,228,231,245,252,306,307,
310,322,327,328,333,340,351,367,381,451,482,494,561,582,704],[1,2,3,4,7,11,12,
13,14,16,17,18,19,23,26,27,30,37,41,43,44,46,63,64,65,66,68,69,70,74,75,86,87,
90,95,96,97,101,107,112,114,115,116,121,122,125,129,131,133,145,148,151,160,
166,167,177,217,223,225,226,229,232,244,247,264,273,274,275,283,285,287,289,
293,296,297,308,311,316,323,324,325,329,348,375,450,454,473,477,485,493,498,