517,548,565,583,705],[1,2,3,4,7,11,12,13,14,17,18,19,26,27,29,32,41,43,44,46,
64,65,68,79,81,82,83,88,91,95,97,112,114,115,131,140,145,148,151,154,157,162,
164,167,168,217,227,230,237,241,251,255,267,268,272,273,274,275,279,280,282,
285,288,289,296,305,317,320,342,360,461,476,484,499,500,503,504,530,536,579,
583,706],[1,2,3,4,5,6,7,13,14,17,18,19,24,25,26,28,29,32,36,38,41,43,46,47,48,
49,50,62,67,68,79,83,84,85,102,104,105,106,112,113,114,126,134,136,139,140,
141,145,147,148,158,162,170,228,238,246,258,265,273,277,280,281,286,299,302,
306,312,322,327,470,483,494,523,535,707],[1,2,3,4,5,6,13,14,15,17,18,19,20,21,
22,24,25,27,28,31,33,34,35,36,38,39,40,42,44,45,47,48,62,67,68,73,76,77,78,80,
84,85,92,97,98,99,100,103,108,109,110,111,113,115,119,123,124,126,127,130,135,
138,139,141,142,149,150,155,156,158,161,163,169,224,228,234,240,248,260,262,
275,290,291,292,303,306,322,327,330,333,335,353,373,376,377,384,388,490,494,
495,522,541,708],[1,2,3,4,5,6,13,14,17,18,19,24,25,27,28,29,32,36,38,44,47,48,
62,67,68,79,83,84,85,97,113,115,126,135,139,140,141,149,158,162,228,246,258,
260,262,275,277,280,306,322,327,335,483,494,495,709],[1,2,3,4,6,7,13,14,16,17,
18,19,23,24,26,27,28,30,32,34,37,39,41,43,44,45,46,63,66,67,68,69,70,80,81,83,
86,89,91,97,99,103,107,112,114,115,116,121,122,125,132,133,144,145,148,160,
166,171,179,225,226,227,231,232,244,247,256,261,273,275,279,282,283,284,288,
297,301,308,309,315,317,321,323,324,325,334,462,493,498,515,521,530,532,546,
573,710],[1,2,3,4,6,13,14,16,17,18,19,23,24,28,30,32,34,37,39,45,63,66,67,68,
69,80,81,83,86,89,91,99,103,116,122,132,144,175,227,231,232,256,261,301,321,
369,371,394,462,555,578,580,711],[1,2,3,4,13,14,16,17,18,19,23,27,29,30,32,37,
44,63,66,68,69,82,86,91,97,115,116,122,133,140,162,225,232,247,254,263,272,
275,276,278,283,294,469,498,502,712],[1,2,3,4,5,6,13,14,16,17,18,19,20,21,22,
23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,42,45,47,63,66,67,68,69,79,80,
81,83,84,86,89,91,92,93,94,98,99,100,103,108,109,110,113,116,117,119,120,122,
123,124,126,127,130,132,137,138,140,142,144,150,152,153,155,156,161,162,163,
165,169,222,227,231,232,240,242,248,249,256,258,261,266,277,280,291,295,301,
314,321,326,331,333,336,347,364,370,373,374,376,385,455,462,474,479,487,496,
506,507,554,556,589,713],[1,2,3,4,5,6,7,11,12,13,14,17,18,19,24,25,26,27,28,
34,36,38,39,41,43,44,45,46,47,49,50,62,64,65,67,68,71,72,80,84,85,89,92,95,97,
99,102,103,104,105,106,109,110,112,113,114,115,126,131,134,135,136,145,147,
148,149,151,161,167,170,171,179,217,228,231,238,245,252,260,262,265,273,274,
275,281,284,285,286,289,296,299,302,309,312,315,333,334,335,344,350,366,368,
451,470,478,492,495,501,505,515,551,575,583,714],[1,2,3,4,7,12,13,14,16,17,18,
19,23,26,30,37,41,43,44,46,63,64,66,68,69,70,74,75,86,87,90,96,101,107,112,
114,115,116,121,122,125,129,133,145,148,151,160,166,167,177,219,226,232,235,
244,247,250,253,264,273,274,278,287,293,294,297,308,323,324,325,348,352,372,
375,457,469,477,493,525,568,586,600,715],[1,2,3,4,5,6,13,14,16,17,18,19,23,24,
25,28,29,30,36,37,38,47,48,51,62,63,66,67,68,69,79,82,84,85,86,88,113,116,117,
118,120,122,126,128,139,141,143,146,158,159,228,230,232,239,257,266,270,304,
306,307,310,322,327,328,460,482,494,550,564,716],[1,2,3,4,11,12,13,14,16,17,
18,19,23,30,37,41,44,63,64,65,66,68,69,74,75,86,87,90,96,101,107,112,115,116,
122,125,129,133,217,223,229,232,244,247,264,278,287,289,294,300,311,332,352,
372,450,469,472,473,525,717],[1,2,3,4,7,13,14,16,17,18,19,23,26,29,30,32,37,
41,43,46,63,66,68,69,70,82,86,91,107,112,114,116,121,122,125,140,145,148,160,
162,166,226,232,244,254,263,272,273,276,297,300,308,323,324,325,332,472,493,
502,534,549,718],[1,2,3,4,11,12,13,14,17,18,19,29,32,64,65,68,79,81,82,83,88,
91,140,162,175,217,227,230,241,255,272,280,369,371,394,461,572,580,581,719],[
1,2,3,4,5,6,13,14,16,17,18,19,24,25,28,30,32,36,37,38,47,62,67,68,69,75,81,83,
84,85,87,90,91,113,126,129,152,153,175,227,228,229,243,271,295,318,369,371,
394,459,566,580,590,720],[1,2,3,4,5,6,7,12,16,17,18,19,23,24,25,26,27,28,29,
30,32,34,36,37,38,39,41,43,44,45,46,47,49,50,64,66,70,72,74,81,85,87,88,89,97,
101,102,103,104,109,112,113,114,115,116,117,118,120,121,122,128,129,131,132,
133,134,135,136,137,140,144,147,151,152,153,154,160,161,164,165,166,167,168,
170,171,177,179,226,237,238,245,247,251,255,262,264,274,279,282,283,284,286,
288,293,296,304,305,308,311,315,316,318,319,320,321,334,335,341,347,348,350,
355,362,364,366,375,383,389,395,477,484,505,513,519,527,532,536,539,544,546,
547,548,570,575,721],[1,2,3,4,5,6,12,15,18,19,20,21,22,24,25,27,28,31,33,34,
35,36,38,39,40,41,42,45,47,48,51,64,72,73,76,77,78,85,89,93,94,97,98,100,103,
105,106,108,109,111,112,113,119,123,124,127,130,138,139,141,142,143,146,149,
150,155,156,158,159,161,163,169,221,236,245,260,265,292,296,303,306,307,309,
326,330,343,345,351,358,361,370,376,381,384,388,390,392,467,492,511,514,522,
571,582,722],[1,4,5,6,7,13,15,16,22,24,25,29,31,32,35,37,41,43,47,48,49,50,51,
69,70,79,83,84,102,104,105,106,111,118,123,125,128,136,148,152,153,154,157,
158,159,160,164,168,170,172,174,176,181,224,257,258,277,295,299,302,310,323,
327,339,342,358,361,380,387,389,393,395,497,508,523,538,564,574,576,723],[1,2,
3,4,5,6,7,11,15,17,19,20,21,22,24,25,26,27,28,31,33,34,35,36,38,39,40,42,43,
45,46,47,48,49,50,51,65,71,73,76,77,78,85,89,93,94,95,97,98,99,100,102,104,
108,110,111,114,119,123,124,126,127,130,131,134,138,139,141,142,143,146,147,
149,150,155,156,158,159,161,163,169,172,173,174,176,178,179,180,181,182,220,
233,238,252,260,284,285,290,292,303,306,307,331,337,338,340,344,345,349,354,
357,359,365,367,368,370,373,378,380,384,386,387,388,392,396,468,478,511,520,
522,560,561,593,596,598,599,724],[1,2,3,4,5,6,7,12,16,17,18,19,23,24,25,26,27,
28,29,30,32,34,36,37,38,39,41,43,44,45,46,47,64,66,72,74,81,85,87,88,89,97,
101,103,105,106,107,109,112,113,114,115,116,117,118,120,122,125,128,129,131,
132,136,137,140,144,149,151,152,153,157,160,161,164,165,166,167,168,170,179,
225,244,245,255,260,264,265,267,268,274,279,282,283,284,286,296,304,305,308,
309,311,316,317,318,319,320,321,329,334,335,339,341,346,347,355,363,364,393,
485,492,500,521,528,531,533,536,540,547,548,553,569,573,575,725],[1,2,3,4,7,
11,17,19,26,27,29,32,43,46,65,81,88,95,97,114,131,154,162,175,237,241,267,282,
285,371,464,499,581,726],[1,2,3,4,5,6,7,12,15,18,19,20,21,22,24,25,26,28,31,
33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,64,72,73,76,77,78,85,89,93,
94,98,100,102,103,104,108,109,111,113,114,115,119,123,124,127,130,134,135,138,
139,141,142,143,146,147,150,151,155,156,158,159,161,163,167,169,171,172,173,
174,176,178,180,181,182,221,236,238,245,262,274,292,303,306,307,315,326,330,
337,338,349,350,351,353,354,356,357,359,365,366,370,376,377,378,380,381,382,
386,387,396,467,505,520,541,552,560,582,595,601,602,603,727],[1,2,3,4,11,17,
19,29,32,41,44,65,81,88,112,115,157,162,175,241,251,268,279,289,371,464,476,
581,728],[1,3,4,5,6,13,23,24,25,28,29,32,33,35,40,42,44,45,47,63,79,80,83,84,
117,120,133,144,150,155,169,175,240,249,256,266,277,294,394,487,555,585,729],[
1,3,4,6,14,16,18,23,24,28,30,32,37,48,67,86,90,91,101,122,129,132,144,153,158,
175,243,250,254,269,301,322,369,491,584,590,730],[1,3,4,6,7,13,14,16,18,23,24,
28,29,30,37,41,43,44,46,49,67,69,70,82,86,90,96,101,104,105,107,118,120,121,
125,129,133,136,137,145,148,151,154,157,160,164,165,166,168,177,239,253,259,
263,278,281,297,298,300,323,325,332,352,360,363,375,383,393,395,480,509,512,
534,563,577,586,731],[1,4,6,13,16,22,28,29,32,37,41,42,45,69,79,80,83,125,130,
132,137,165,175,222,249,261,314,332,336,394,496,578,587,732],[1,3,4,6,7,12,14,
16,23,24,28,29,30,32,41,43,44,46,49,67,70,74,82,86,91,104,105,107,118,120,121,
125,132,133,136,144,145,154,157,160,164,166,167,168,177,219,239,254,276,278,
281,297,300,301,325,348,360,363,372,383,393,395,465,486,512,526,549,568,577,
733],[1,3,4,5,6,7,13,15,22,23,24,25,29,31,35,41,43,46,47,48,49,50,51,63,79,84,
102,104,105,106,107,111,117,120,121,123,136,148,154,157,158,159,164,166,168,
170,172,174,176,181,224,246,266,299,302,310,324,327,342,346,358,361,362,363,
380,383,387,458,510,535,538,550,562,576,734],[1,2,3,4,7,12,18,19,26,29,32,43,
44,46,64,81,88,114,115,140,151,154,167,175,237,251,255,274,288,371,466,484,
572,735],[1,2,3,4,5,6,7,11,16,17,19,23,24,25,26,27,28,29,30,32,34,36,37,38,39,
41,43,44,45,46,47,65,66,71,75,81,85,87,88,89,95,97,99,105,106,107,110,112,114,
115,116,117,118,120,125,126,128,131,132,133,135,136,137,144,152,153,157,160,
161,162,164,165,166,168,170,171,177,223,241,244,247,251,252,262,265,268,279,
283,285,286,288,289,293,304,305,308,309,311,315,317,318,319,320,321,329,334,
335,339,346,363,374,379,385,391,393,473,476,501,513,521,527,532,533,539,551,
553,565,569,579,592,736],[1,3,4,5,14,16,18,23,25,29,30,32,37,51,62,82,86,90,
91,101,117,122,128,129,152,159,175,250,259,270,271,276,328,369,488,537,566,
737],[1,3,4,6,13,22,23,28,32,42,44,45,63,80,83,130,133,144,175,222,242,256,
294,394,455,555,585,738],[1,3,4,5,6,7,13,20,21,23,24,25,28,29,31,32,33,40,41,
42,43,45,46,47,48,49,50,51,63,79,80,83,84,98,102,104,105,106,107,117,120,121,
124,136,144,148,154,156,157,158,159,163,164,166,168,170,173,178,180,182,248,
256,258,266,299,302,310,324,327,336,342,343,346,354,362,363,383,390,396,474,
508,516,523,550,559,562,739],[1,3,4,5,7,12,14,16,23,25,29,30,41,43,44,46,50,
62,70,74,82,86,102,106,107,117,121,125,128,133,145,154,157,160,164,166,167,
168,170,177,219,263,270,278,297,300,312,325,339,346,348,360,362,372,389,453,
465,509,524,534,568,591,740],[1,2,3,4,5,6,7,11,16,17,19,23,24,25,26,27,28,29,
30,32,34,36,37,38,39,41,43,44,45,46,47,49,50,65,66,70,71,75,81,85,87,88,89,95,
97,99,102,104,110,112,114,115,116,117,118,120,121,126,128,131,132,134,136,137,
144,147,149,152,153,154,160,161,162,164,165,166,168,170,171,177,179,223,225,
226,237,238,241,252,260,267,282,283,284,285,286,288,289,293,304,305,308,309,
315,316,317,318,319,320,321,329,335,344,362,368,374,379,383,385,389,391,395,
454,478,499,519,528,531,540,544,546,551,565,570,573,579,592,741],[1,2,3,4,5,6,
11,15,17,19,20,21,22,24,25,28,31,33,34,35,36,38,39,40,41,42,44,45,47,48,51,65,
71,73,76,77,78,85,89,93,94,98,99,100,105,106,108,110,111,112,115,119,123,124,
126,127,130,135,138,139,141,142,143,146,150,155,156,158,159,161,163,169,220,
233,252,262,265,289,290,292,303,306,307,331,334,340,343,353,356,358,361,367,
370,373,377,382,390,468,501,514,541,552,561,571,742],[1,4,6,14,24,28,29,32,37,
48,67,82,90,91,137,153,158,165,175,218,243,259,298,313,322,369,481,584,590,
743],[1,2,3,4,12,18,19,27,29,32,41,64,81,88,97,112,140,157,175,255,267,268,
296,317,371,466,500,572,744],[1,4,5,6,13,16,24,25,28,32,33,35,37,40,41,42,45,
47,69,80,83,84,125,132,150,152,153,155,169,175,240,242,258,261,295,332,394,
506,578,587,745],[1,3,4,5,7,13,14,16,18,23,25,29,30,32,37,41,43,44,46,50,62,
69,70,82,86,90,91,96,101,102,106,107,117,121,125,128,129,133,145,148,151,152,
154,157,160,164,166,168,170,177,253,254,270,271,278,297,300,312,313,323,325,
332,339,346,352,360,362,375,389,475,524,526,549,563,586,591,746],[1,4,5,14,25,
32,37,51,62,90,91,152,159,175,218,269,271,328,369,456,537,566,747],[1,4,5,6,7,
13,16,20,21,24,25,28,29,31,33,37,40,41,42,43,45,47,48,49,50,51,69,70,79,80,84,
98,102,104,105,106,118,124,125,128,136,137,148,154,156,157,158,159,160,163,
164,165,168,170,173,178,180,182,246,248,249,257,299,302,310,314,323,327,339,
342,343,354,389,390,393,395,396,471,510,516,535,559,564,574,748],[1,2,7,8,9,
10,11,26,27,55,56,60,61,95,183,187,192,195,206,208,398,408,440,444,604,749],[
1,2,5,6,8,9,10,11,38,39,53,54,55,57,71,183,187,192,195,204,207,399,409,414,
604,750],[1,2,7,8,9,10,11,26,27,55,56,58,95,183,187,192,195,203,205,397,408,
435,604,751],[1,5,7,8,9,10,15,50,51,56,57,60,61,174,183,191,193,200,201,209,
211,398,430,432,446,448,605,752],[1,3,7,8,9,10,12,44,46,56,59,60,61,167,183,
188,189,190,202,210,215,398,425,427,431,445,606,753],[1,4,14,37,52,90,218,
754],[1,2,5,6,11,38,39,48,51,52,71,139,146,184,185,186,340,400,401,402,403,
404,608,609,610,755],[1,3,4,5,9,12,14,16,23,25,29,30,53,62,74,82,86,117,128,
189,194,219,263,270,407,453,611,756],[1,3,4,6,9,12,14,16,23,24,28,29,30,32,54,
67,74,82,86,91,118,120,132,144,189,194,219,239,254,276,301,405,424,486,611,
757],[1,2,3,4,9,12,13,14,16,17,18,19,23,30,37,55,63,64,66,68,69,74,75,86,87,
90,96,101,116,122,129,189,194,219,232,235,250,253,264,287,406,415,416,457,611,
758],[1,3,4,7,8,12,14,16,23,30,41,43,56,70,74,86,125,145,166,188,196,219,297,
300,439,465,617,759],[1,3,4,7,9,12,14,16,23,30,41,43,58,70,74,86,125,145,166,
189,194,219,297,300,421,465,611,760],[1,2,3,4,10,11,12,13,14,16,17,18,19,23,
30,37,59,63,64,65,66,68,69,74,75,86,87,90,96,101,116,122,129,190,192,198,217,
223,229,232,264,287,410,420,422,428,450,613,761],[1,2,3,4,5,6,10,11,15,17,19,
20,21,22,24,25,28,31,33,34,35,36,38,39,40,42,45,47,59,65,71,73,76,77,78,85,89,
93,94,98,99,100,108,110,111,119,123,124,126,127,130,138,142,150,155,156,161,
163,169,192,193,199,220,233,252,290,292,303,331,370,373,410,412,417,434,468,
615,762],[1,2,3,4,5,6,8,11,12,13,14,17,18,19,24,25,28,34,36,38,39,45,47,57,62,
64,65,67,68,71,72,80,84,85,89,92,99,103,109,110,113,126,161,187,188,196,217,
228,231,245,252,333,413,414,419,433,451,614,763],[1,2,3,4,10,11,17,19,29,32,
59,65,81,88,162,192,241,410,464,764],[1,3,4,7,9,12,14,16,23,30,41,43,44,46,60,
74,86,107,121,133,145,160,167,177,189,194,219,278,325,348,372,423,431,568,611,
765],[1,2,3,4,9,12,18,19,29,32,55,64,81,88,140,189,255,415,466,766],[1,2,3,4,
5,6,9,12,15,18,19,20,2