498],[1,2,4,7,9,14,18,20,46,50,51,58,61,62,68,69,72,134,135,138,149,152,162,
170,243,245,287,294,360,394,445,499],[1,2,3,4,5,9,11,14,16,18,19,20,38,50,51,
58,61,62,63,64,70,72,132,135,136,137,147,166,170,245,246,287,292,363,393,445,
500],[1,2,3,4,9,11,12,14,16,17,18,19,20,26,50,51,53,56,58,61,62,65,66,67,72,
133,135,136,141,154,157,169,170,171,244,245,287,293,361,401,445,501],[1,2,3,4,
5,6,7,8,9,11,12,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,46,
60,61,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,97,101,
102,105,106,108,109,110,111,112,155,172,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,196,197,198,211,212,213,232,254,257,258,298,
299,313,318,331,342,343,373,384,385,405,446,502],[1,2,4,6,7,8,9,18,20,22,23,
27,28,30,36,37,43,46,49,58,60,62,68,69,73,79,80,85,87,88,96,102,108,109,110,
117,129,131,149,151,153,155,161,162,175,180,183,188,191,199,200,201,209,214,
223,255,259,264,269,278,298,301,303,314,316,324,340,367,375,420,448,451,453,
503],[1,2,3,4,6,7,8,9,11,12,17,19,20,22,23,24,26,27,28,30,36,37,41,42,43,44,
45,49,58,60,63,67,69,74,79,82,84,85,86,87,89,90,96,97,102,108,109,110,111,112,
117,129,131,148,150,153,154,155,161,163,175,181,182,184,188,189,190,192,199,
200,201,209,214,223,256,260,265,269,278,299,300,302,315,317,324,340,367,374,
419,447,452,453,504],[1,2,3,4,5,6,7,8,9,11,12,16,17,18,19,20,22,23,24,26,27,
28,29,30,31,32,36,38,41,42,43,45,46,49,58,60,63,64,65,66,68,73,74,76,77,81,83,
84,85,86,87,88,90,92,93,95,102,108,109,110,111,112,117,124,130,147,148,149,
151,153,154,155,158,161,175,178,179,180,181,183,184,186,199,201,209,212,213,
221,229,232,256,259,261,262,263,264,270,300,303,305,314,315,318,320,367,370,
414,447,451,454,505],[1,2,3,4,5,6,7,8,9,11,12,16,17,20,22,23,24,26,27,28,29,
30,31,32,36,38,41,42,43,44,45,46,49,58,60,62,66,67,73,74,76,77,81,83,84,85,86,
87,88,89,90,92,93,95,102,108,109,110,111,112,117,124,130,147,148,150,153,155,
157,161,175,178,179,181,182,183,184,186,200,201,209,212,213,221,229,232,255,
260,261,265,270,301,302,306,316,317,318,320,367,369,413,448,452,454,506],[1,2,
3,4,5,6,7,8,9,11,12,17,18,20,22,23,24,26,27,28,29,30,36,38,43,44,45,46,58,60,
67,68,70,73,74,75,76,82,83,85,87,88,89,90,92,97,101,102,108,109,110,111,112,
148,149,150,151,153,155,161,165,173,175,178,180,181,182,183,187,192,194,198,
199,200,201,211,212,259,260,264,265,266,267,277,296,300,301,302,303,332,342,
367,376,377,406,449,451,452,507],[1,2,3,4,5,6,7,8,9,11,12,19,20,22,23,24,26,
27,28,29,30,36,38,43,44,45,46,58,60,62,63,70,73,74,75,76,82,83,85,87,88,89,90,
92,97,101,102,108,109,110,111,112,153,154,155,161,166,173,175,178,180,181,182,
183,187,192,194,198,199,200,201,211,212,255,256,266,267,277,296,300,301,302,
303,332,342,367,383,406,447,448,449,508],[1,2,4,6,7,8,9,18,22,23,27,28,30,36,
37,43,46,49,60,61,73,79,80,85,87,88,96,102,108,109,110,117,129,131,151,152,
175,180,183,188,191,199,200,201,209,214,223,254,257,258,298,301,303,314,316,
324,340,371,372,381,420,446,509],[1,2,3,4,5,6,7,8,9,11,12,16,17,20,22,23,24,
27,28,29,30,31,32,36,37,38,42,43,44,45,49,58,60,66,69,70,75,76,77,79,81,83,84,
85,87,89,92,96,97,101,102,105,106,110,111,115,116,117,124,129,130,131,147,148,
153,155,161,164,172,173,175,186,188,189,193,194,196,202,204,209,211,214,215,
221,223,228,229,232,235,261,266,267,269,270,277,278,296,308,313,320,328,338,
340,345,346,367,382,388,407,449,453,454,510],[1,2,3,4,6,7,8,9,12,17,23,27,30,
32,33,34,35,37,39,40,42,43,44,46,47,48,49,60,61,73,79,80,87,88,96,98,103,104,
106,107,109,110,113,114,115,122,123,124,125,126,129,150,174,183,188,191,205,
206,207,216,217,222,226,227,228,254,257,258,298,327,329,330,333,334,335,378,
379,380,424,446,511],[1,2,3,4,5,6,7,8,9,11,12,17,18,20,22,23,24,27,28,29,30,
31,32,36,37,38,42,43,44,45,49,60,67,68,70,75,76,77,79,81,83,84,85,87,89,92,96,
97,101,102,105,106,110,111,115,116,117,150,151,155,165,172,186,188,189,193,
194,196,202,211,220,221,222,223,232,233,257,264,265,267,295,310,313,338,339,
373,377,378,381,410,457,458,459,512],[1,2,3,4,5,6,7,8,9,10,11,12,17,18,20,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,59,
60,67,68,70,74,75,77,78,80,82,83,84,85,86,88,89,90,91,92,93,94,95,96,98,99,
100,103,104,105,106,107,109,110,111,112,113,114,118,119,120,121,122,123,125,
126,127,128,150,151,155,156,159,160,165,174,176,177,179,182,184,185,187,190,
191,193,195,197,203,205,206,210,211,213,216,217,218,219,224,225,226,227,230,
231,234,236,264,265,267,268,271,272,273,274,275,276,297,309,321,322,325,326,
329,330,343,348,349,368,377,386,387,417,450,455,456,513],[1,2,5,6,8,21,22,27,
29,75,79,81,172,285,295,514],[1,2,3,4,5,7,9,11,12,13,16,17,18,19,20,26,31,35,
38,39,41,46,47,48,52,55,62,63,64,65,66,67,68,69,70,93,99,118,121,123,126,127,
143,144,145,157,158,159,162,163,164,165,166,230,248,249,252,271,274,276,279,
366,387,398,466,468,470,515],[1,2,3,4,5,7,9,11,12,13,16,17,18,19,20,26,31,34,
38,40,41,46,47,48,52,55,62,63,64,65,66,67,68,69,70,93,100,118,120,122,125,128,
143,144,145,157,158,160,162,163,164,165,166,231,248,249,252,272,273,275,279,
366,386,399,465,467,469,516],[1,2,7,13,14,15,51,54,55,138,139,144,167,168,281,
283,389,390,404,474,517],[1,2,5,13,14,15,51,54,55,137,145,167,168,281,283,391,
404,474,518],[1,2,3,12,13,14,15,51,52,53,54,55,56,141,143,167,168,280,281,282,
283,392,404,474,475,519],[1,2,3,5,6,7,8,9,10,11,12,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,405,406,407,408,
409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,
428,476,477,478,479,480,481,482,520],[1,2,4,6,7,8,9,18,20,23,27,28,30,43,46,
49,50,58,60,61,62,68,69,73,87,88,108,109,110,117,134,149,151,152,153,162,183,
199,209,239,245,254,255,259,269,314,360,372,375,429,483,521],[1,2,3,4,5,6,7,8,
9,11,12,16,17,18,19,20,23,24,26,27,28,29,30,31,32,38,41,42,43,45,46,50,58,60,
61,62,63,64,65,66,67,68,69,70,73,74,76,77,81,83,84,86,87,88,90,92,93,95,108,
109,110,111,112,134,136,147,148,149,151,152,153,154,157,158,162,163,164,165,
166,178,179,181,183,184,186,212,213,232,242,245,254,255,256,259,260,261,262,
263,266,269,279,318,360,361,363,369,370,372,374,375,376,382,383,429,437,460,
483,484,522],[1,2,4,6,7,8,9,18,20,22,23,27,28,30,36,43,46,50,58,60,61,62,68,
69,73,85,87,88,102,108,109,110,134,135,149,151,152,153,155,162,175,180,183,
199,201,243,245,254,255,259,264,269,303,360,371,372,375,385,429,461,483,485,
523],[1,2,3,4,10,12,13,14,16,17,20,25,51,52,53,55,56,59,66,72,140,141,142,143,
156,167,169,170,171,247,280,281,282,286,291,293,392,400,402,487,524],[1,2,5,6,
7,8,13,27,28,29,30,36,37,43,47,49,55,81,83,96,97,102,114,116,117,129,131,144,
173,196,204,205,214,221,233,249,312,323,346,427,438,489,525],[1,2,5,6,7,8,13,
27,28,29,30,36,37,43,48,49,55,81,83,96,97,102,113,116,117,129,131,144,173,196,
204,206,214,221,233,248,311,323,346,426,438,489,526],[1,2,3,5,6,7,8,9,11,12,
13,22,23,24,27,28,29,30,31,32,36,37,38,42,43,44,45,49,52,55,75,76,77,79,81,83,
84,85,87,89,92,96,97,101,102,105,106,110,111,115,116,117,124,129,130,131,143,
144,145,172,173,175,186,188,189,193,194,196,202,204,209,211,214,215,221,223,
228,229,232,235,252,296,308,313,320,328,338,340,345,346,407,438,488,489,490,
527],[1,2,4,9,15,18,20,54,57,61,68,284,288,289,528],[1,2,3,4,7,9,12,14,18,39,
46,48,50,51,53,56,58,123,134,141,149,238,287,351,495,529],[1,2,3,4,7,9,12,14,
18,40,46,47,50,51,53,56,58,122,134,141,149,238,287,350,495,530],[1,2,3,4,5,7,
9,11,12,14,16,18,19,26,31,38,41,46,50,51,58,64,93,134,136,137,147,149,154,238,
242,262,287,357,393,495,531],[1,2,4,7,8,9,14,18,20,23,30,46,50,51,58,68,88,
134,135,138,149,153,238,243,259,287,358,394,495,532],[1,2,4,7,9,14,18,35,46,
47,50,51,58,126,134,138,149,238,241,287,353,495,533],[1,2,4,7,9,14,18,34,46,
48,50,51,58,125,134,138,149,238,240,287,352,495,534],[1,2,4,6,7,8,15,18,37,43,
49,50,54,60,129,134,139,151,239,240,241,290,354,498,535],[1,2,4,7,9,15,18,34,
46,48,50,54,61,125,134,139,152,238,240,289,352,496,536],[1,2,4,7,9,15,18,35,
46,47,50,54,61,126,134,139,152,238,241,288,353,497,537],[1,2,3,4,6,7,9,11,12,
14,17,18,19,26,32,41,45,46,50,51,53,56,58,65,95,132,133,134,141,148,149,154,
237,238,239,263,287,355,401,495,538],[1,2,3,4,5,7,9,11,12,14,16,17,18,19,20,
26,31,38,41,46,50,51,53,56,58,61,62,63,64,65,66,67,68,69,70,72,93,132,133,134,
135,136,137,138,141,147,149,152,154,157,158,162,163,164,165,166,169,170,171,
237,242,243,244,245,246,251,262,279,287,292,293,294,360,361,362,363,393,394,
401,403,437,445,472,499,500,501,539],[1,2,3,4,5,6,7,8,9,10,11,12,17,20,22,23,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
60,61,67,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,150,155,172,
174,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,202,203,205,206,207,208,210,211,212,213,214,215,216,217,
218,219,220,222,224,225,226,227,228,229,230,231,232,234,235,236,254,257,258,
265,297,298,299,307,309,311,312,313,318,319,321,322,325,326,327,329,330,331,
333,334,335,336,337,339,341,342,343,345,347,348,349,373,378,379,380,384,385,
405,408,411,415,416,417,418,423,424,446,457,463,480,502,511,540],[1,2,3,4,5,6,
7,8,9,11,12,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,46,49,60,
61,70,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,97,101,
102,105,106,108,109,110,111,112,115,116,117,155,172,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,196,197,198,202,211,212,213,220,
221,222,223,232,233,254,257,258,267,295,298,299,310,313,318,323,331,338,339,
342,343,344,373,384,385,405,410,412,446,459,477,502,541],[1,2,3,4,5,6,7,8,9,
10,11,12,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,
49,58,59,60,70,75,76,77,78,79,81,83,84,85,87,89,91,92,94,96,97,98,99,100,101,
102,103,104,105,106,107,110,111,115,116,117,124,129,130,131,153,155,156,159,
160,161,172,173,174,175,176,177,186,188,189,193,194,195,196,202,204,207,208,
209,211,214,215,220,221,222,223,228,229,232,233,235,257,266,267,268,275,276,
277,295,296,297,304,307,308,310,313,319,320,327,328,338,339,340,341,345,346,
347,367,368,373,407,408,410,428,449,450,459,462,476,542],[1,2,3,4,5,6,7,8,9,
11,12,18,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,46,49,60,61,
68,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,95,96,97,101,102,
105,106,108,109,110,111,112,115,116,117,124,129,130,131,151,152,155,172,173,
175,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,196,
197,198,199,200,201,202,204,209,211,212,213,214,215,221,223,228,229,232,235,
254,257,258,264,296,298,299,300,301,302,303,305,306,308,313,314,315,316,317,
318,320,324,328,331,332,338,340,342,343,345,346,371,372,373,381,384,385,405,
406,407,409,413,414,419,420,425,446,458,461,481,502,509,543],[1,2,3,4,5,6,7,8,
9,11,12,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,36,37,38,41,42,43,44,45,
46,49,58,60,62,63,64,65,66,67,68,69,70,73,74,75,76,77,79,80,81,82,83,84,85,86,
87,88,89,90,92,93,95,96,97,101,102,105,106,108,109,110,111,112,115,116,117,
124,129,130,131,147,148,149,150,151,153,154,155,157,158,161,162,163,164,165,
166,172,173,175,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,196,197,198,199,200,201,202,204,209,211,212,213,214,215,221,223,228,
229,232,235,255,256,259,260,261,262,263,264,265,266,267,269,270,277,278,279,
296,298,299,300,301,302,303,305,306,308,313,314,315,316,317,318,320,324,328,
331,332,338,340,342,343,345,346,367,369,370,374,375,376,377,382,383,388,405,
406,407,409,413,414,419,420,425,447,448,449,451,452,453,454,460,481,503,504,
505,506,507,508,510,544],[1,2,4,6,7,8,9,15,18,20,22,23,27,28,30,36,43,46,54,
58,60,62,68,69,73,85,87,88,102,109,110,149,153,155,161,162,175,183,200,255,
259,269,290,301,364,367,375,439,448,545],[1,2,4,6,7,8,9,15,18,23,27,30,37,43,
46,54,60,61,73,79,80,87,88,96,109,110,151,152,183,188,191,254,257,258,288,289,
290,298,364,372,439,446,546],[1,2,7,13,14,15,48,51,54,55,138,139,144,167,168,
248,281,283,389,390,404,474,517,547],[1,2,7,13,14,15,47,51,54,55,138,139,144,
167,168,249,281,283,389,390,404,474,517,548],[1,2,3,5,7,12,13,14,15,31,51,52,
53,54,55,56,137,138,139,141,143,144,145,167,168,251,252,280,281,282,283,389,
390,391,392,404,464,474,475,517,518,519,549],[1,2,3,4,5,6,7,8,9,11,12,16,17,
18,19,20,22,23,24,26,27,28,29,30,31,32,36,38,41,42,43,45,46,49,50,58,60,61,62,
63,64,65,66,67,68,69,70,73,74,76,77,81,83,84,85,86,87,88,90,92,93,95,102,108,
109,110,111,112,117,124,130,134,135,136,147,148,149,151,152,153,154,155,157,
158,162,163,164,165,166,175,178,179,180,181,183,184,186,199,201,209,212,213,
221,229,232,239,242,243,245,254,255,256,259,260,261,262,263,264,266,269,279,
300,303,305,314,315,318,320,359,360,361,363,369,370,371,372,374,375,376,382,