82,91,97,110,111,112,114,146,160,176,178,188,192,198,201,208,217,232,282,320,
351,439],[1,2,3,4,8,9,10,18,39,43,60,108,125,194,219,243,300,359,440],[1,2,4,
6,7,9,16,18,21,22,24,25,26,28,35,40,52,59,60,63,67,68,69,70,73,74,75,76,79,84,
87,88,89,90,91,102,103,107,134,141,142,145,168,173,174,181,184,191,193,199,
200,202,203,212,230,233,236,293,323,324,347,350,353,354,441],[1,3,4,10,11,13,
16,38,53,64,126,442],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,23,
24,25,27,28,29,30,31,32,33,34,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,61,62,65,67,72,74,76,78,80,81,84,85,92,93,95,96,98,100,106,110,118,122,
123,127,129,131,132,136,137,138,139,140,143,146,147,150,152,156,159,163,164,
165,170,171,182,184,185,195,196,204,215,218,234,239,250,252,253,254,256,263,
265,267,268,280,308,317,321,335,343,364,368,372,374,380,443],[1,2,3,4,5,8,9,
10,11,13,14,15,16,18,19,24,26,30,32,33,39,40,41,42,43,45,47,52,53,54,56,59,60,
64,66,69,70,72,75,78,80,94,96,98,104,105,122,123,124,125,126,128,130,131,132,
133,134,135,140,141,147,148,153,154,156,157,162,163,166,176,177,183,187,222,
248,249,250,251,254,258,260,263,264,266,275,279,287,291,294,295,363,364,365,
366,367,401,444],[1,2,3,4,5,8,9,10,11,14,15,16,19,24,30,32,33,35,39,40,42,45,
47,52,53,54,56,63,68,71,72,73,77,78,80,96,98,107,122,123,131,132,140,144,147,
156,163,167,178,180,181,238,250,254,255,257,259,261,262,263,297,364,369,382,
424,445],[1,2,3,4,5,8,9,10,11,13,14,15,16,18,19,24,26,30,32,33,39,40,41,42,43,
45,47,52,53,54,56,59,60,64,66,69,70,72,75,78,80,94,96,98,99,101,104,105,113,
122,123,124,125,126,128,130,131,132,133,134,135,140,141,142,145,147,148,149,
151,153,154,155,157,158,161,162,163,166,177,183,187,189,193,197,206,222,237,
248,249,250,251,254,258,264,266,269,271,272,275,277,287,291,293,294,295,298,
307,314,315,325,326,329,330,336,341,348,349,365,367,384,387,396,397,402,417,
430,446],[1,2,3,4,8,9,10,11,16,18,24,26,39,40,42,43,52,53,59,60,66,75,78,90,
122,125,128,130,131,134,140,153,202,249,251,254,278,279,366,375,447],[1,2,3,4,
8,9,10,11,16,18,24,26,39,40,42,43,52,53,59,60,66,75,78,89,122,125,128,130,131,
134,140,153,191,249,251,254,279,290,366,383,448],[1,2,3,4,5,6,7,8,9,10,11,12,
14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,39,40,42,44,45,46,
47,48,49,50,51,53,54,55,56,57,58,59,61,62,65,66,68,71,72,74,77,79,80,81,85,88,
91,92,93,95,96,98,100,103,106,110,118,122,123,127,128,129,132,136,137,138,139,
143,144,146,147,150,152,153,159,163,164,165,167,170,171,175,176,178,180,182,
188,195,204,208,215,218,235,236,239,250,251,252,253,257,259,260,262,265,268,
276,284,296,301,302,308,321,343,351,363,368,369,371,378,416,420,449],[1,2,3,4,
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,
34,35,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,60,61,62,64,65,
68,71,72,74,75,77,80,81,83,85,86,87,92,93,94,95,96,98,100,102,105,106,110,118,
122,123,124,125,126,127,129,130,132,133,134,135,136,137,138,139,143,144,146,
147,150,152,154,157,159,162,163,164,165,166,167,168,169,170,171,178,180,182,
183,186,187,190,195,204,207,215,218,221,229,239,248,249,250,252,253,257,259,
262,264,265,268,274,275,283,285,294,295,299,304,308,316,321,332,340,343,365,
368,369,370,373,377,385,394,450],[1,2,3,4,5,8,9,10,11,13,14,15,16,18,19,24,26,
30,32,33,39,40,41,42,43,45,47,52,53,54,56,59,60,64,66,69,70,72,75,78,80,94,96,
98,104,105,122,123,124,125,126,128,130,131,132,133,134,135,140,141,147,148,
153,154,157,162,163,166,177,183,187,222,248,249,250,251,254,258,264,266,273,
275,287,289,291,294,295,327,365,367,395,405,409,451],[1,2,3,4,8,9,10,11,13,16,
24,26,39,40,41,42,52,53,59,64,66,69,70,78,104,122,124,126,128,131,140,141,148,
153,177,222,248,251,254,258,266,287,291,367,379,388,452],[1,2,3,4,5,8,9,10,11,
13,14,15,16,18,19,30,32,33,39,40,41,42,43,45,47,53,54,56,60,64,72,75,80,94,96,
98,105,108,122,123,124,125,126,130,132,133,134,135,147,154,157,162,163,166,
183,187,194,219,248,249,250,264,275,294,295,300,311,312,344,365,389,398,453],[
1,2,3,4,6,7,8,9,10,11,12,16,17,20,21,22,23,24,25,26,28,39,40,42,44,46,52,53,
55,57,58,59,61,62,65,67,69,70,74,76,78,84,85,89,95,122,127,129,131,140,141,
150,152,153,171,177,184,185,191,195,196,234,254,256,265,267,280,290,291,374,
379,383,454],[1,2,3,4,8,9,10,11,16,24,26,35,39,40,42,52,53,59,63,68,69,70,71,
73,77,78,90,107,122,131,140,141,144,153,177,180,181,202,238,254,255,259,261,
278,291,297,375,379,382,455],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,
22,23,25,27,28,29,30,31,32,33,34,39,40,42,44,45,46,47,48,49,50,51,53,54,55,56,
57,58,61,62,65,72,74,80,81,85,92,93,95,96,98,100,106,110,115,118,122,123,127,
129,132,136,137,138,139,143,146,147,150,152,159,163,164,165,170,171,182,195,
204,215,218,226,239,240,241,250,252,253,265,268,308,310,318,321,328,331,333,
338,339,343,368,393,410,422,456],[1,2,3,4,5,8,9,10,11,14,16,18,24,26,30,32,33,
39,40,42,43,52,53,56,59,60,66,69,70,72,75,78,80,94,96,105,113,122,125,128,130,
131,133,134,140,141,142,145,147,153,154,155,158,161,166,177,183,187,189,193,
197,249,251,254,273,275,279,291,293,307,315,327,330,336,341,348,349,366,384,
388,395,417,457],[1,2,3,4,6,7,8,9,10,11,12,16,17,18,20,21,22,23,24,25,26,28,
35,39,40,42,43,44,46,52,53,55,57,58,59,60,61,62,63,65,66,67,68,71,73,74,75,76,
77,78,79,84,85,88,91,95,103,107,122,125,127,128,129,130,131,134,140,144,150,
152,153,171,175,180,181,184,185,188,195,196,207,208,234,235,236,238,249,251,
254,255,256,259,261,265,267,274,276,279,280,284,285,296,297,301,366,370,374,
382,392,413,416,423,425,458],[1,2,3,4,6,7,8,9,10,11,12,16,17,20,21,22,23,24,
25,26,28,39,40,42,44,46,52,53,55,57,58,59,61,62,65,67,69,70,74,76,78,84,85,90,
95,122,127,129,131,140,141,150,152,153,171,177,184,185,195,196,202,234,254,
256,265,267,278,280,291,374,375,379,459],[1,2,3,4,5,6,7,8,9,10,11,12,14,16,17,
18,20,21,22,23,24,25,28,30,32,33,39,40,42,44,46,52,53,55,56,57,58,60,61,62,65,
67,72,74,75,76,78,80,84,85,89,94,95,96,99,101,105,122,127,129,131,133,134,140,
142,145,147,149,150,151,152,154,155,166,171,183,184,185,187,189,191,195,196,
213,214,234,254,256,265,267,272,275,280,290,298,307,314,324,345,374,383,387,
407,421,460],[1,2,3,4,5,8,9,10,11,14,15,16,18,19,24,26,30,32,33,39,40,42,45,
47,52,53,54,56,59,60,69,70,72,75,78,80,94,96,98,99,101,105,113,122,123,131,
132,133,134,140,141,142,145,147,149,151,153,154,155,156,158,161,163,166,177,
183,187,189,197,206,237,250,254,263,271,272,273,275,291,298,307,314,315,325,
326,327,330,364,379,387,395,397,461],[1,2,3,4,5,8,9,10,11,14,16,18,24,26,30,
32,33,39,40,42,43,52,53,56,59,60,66,69,70,72,75,78,80,94,96,99,101,105,122,
125,128,130,131,133,134,140,141,142,145,147,149,151,153,154,155,158,161,166,
177,183,187,189,193,249,251,254,272,275,279,289,291,293,298,307,314,327,330,
341,348,349,366,379,387,409,417,462],[1,2,3,4,5,6,7,8,9,10,11,12,14,16,17,18,
20,21,22,23,24,25,28,30,32,33,39,40,42,44,46,52,53,55,56,57,58,60,61,62,65,67,
72,74,75,76,78,80,84,85,90,94,95,96,99,101,105,122,127,129,131,133,134,140,
142,145,147,149,150,151,152,154,155,166,171,183,184,185,187,189,195,196,202,
209,223,234,254,256,265,267,272,275,278,280,298,307,313,314,323,374,375,387,
403,418,463],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,23,25,27,28,
29,30,31,32,33,34,36,37,39,40,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,61,
62,65,72,74,80,81,82,85,92,93,95,96,97,98,100,106,109,110,111,112,114,116,117,
118,122,123,127,129,132,136,137,138,139,143,146,147,150,152,159,160,163,164,
165,170,171,172,179,182,192,195,198,201,204,215,217,218,220,227,232,239,242,
244,250,252,253,265,268,270,281,282,286,288,292,303,305,306,308,309,319,320,
321,334,342,343,368,391,411,419,429,438,464],[1,2,3,4,5,8,9,10,11,14,15,16,18,
19,24,26,30,32,33,39,40,42,45,47,52,53,54,56,59,60,66,69,70,72,75,80,94,96,98,
99,101,105,113,122,123,128,132,133,134,140,141,147,149,151,153,154,155,158,
161,163,166,176,177,183,187,189,193,197,206,237,250,251,260,271,275,289,291,
314,315,325,326,327,330,336,348,363,384,388,397,409,465],[1,2,3,4,6,7,8,9,10,
11,12,13,16,17,20,21,22,23,24,25,26,28,35,39,40,41,42,44,46,52,53,55,57,58,59,
61,62,63,64,65,66,67,68,69,70,71,73,74,76,77,78,79,83,84,85,86,87,88,91,95,
102,103,104,107,122,124,126,127,128,129,131,140,141,144,148,150,152,153,168,
169,171,173,174,175,177,180,181,184,185,186,188,190,195,196,199,200,205,208,
211,221,222,225,229,230,231,233,234,235,236,238,248,251,254,255,256,258,259,
261,265,266,267,276,280,283,284,287,291,296,297,299,301,322,332,340,350,356,
358,367,374,376,381,382,385,386,390,412,415,416,466],[1,2,3,4,5,8,9,10,11,14,
16,18,24,30,32,33,35,39,40,42,52,53,56,60,63,68,71,72,73,75,77,78,80,89,94,96,
99,101,105,107,122,131,133,134,140,142,144,145,147,149,151,154,155,166,180,
181,183,187,189,191,210,224,238,254,255,259,261,272,275,290,297,298,307,314,
346,353,382,383,387,404,406,467],[1,2,3,4,5,8,9,10,11,14,15,16,19,24,30,32,33,
39,40,42,45,47,52,53,54,56,72,78,80,89,90,96,98,122,123,131,132,140,147,156,
163,191,202,250,254,263,278,290,364,375,383,468],[1,2,3,4,8,9,10,11,16,24,26,
35,39,40,42,52,53,59,63,68,69,70,71,73,77,78,89,107,122,131,140,141,144,153,
177,180,181,191,238,254,255,259,261,290,291,297,379,382,383,469],[1,2,3,4,8,9,
10,11,16,18,24,26,39,40,42,43,52,53,59,60,66,75,78,108,122,125,128,130,131,
134,140,153,194,219,249,251,254,279,300,344,366,389,470],[1,2,3,4,5,8,9,10,11,
14,16,18,24,30,32,33,35,39,40,42,52,53,56,60,63,68,71,72,73,75,77,78,80,90,94,
96,99,101,105,107,122,131,133,134,140,142,144,145,147,149,151,154,155,166,180,
181,183,187,189,202,216,228,238,254,255,259,261,272,275,278,297,298,307,314,
337,354,375,382,387,400,408,471],[1,2,3,4,8,9,10,11,13,16,24,26,39,40,41,42,
52,53,59,64,66,69,70,78,89,90,104,122,124,126,128,131,140,141,148,153,177,191,
202,203,212,222,248,251,254,258,266,278,287,290,291,347,352,367,375,383,399,
414,472],[1,2,3,4,5,6,7,8,9,10,12,14,15,17,19,20,21,22,25,26,27,28,29,30,31,
34,35,36,37,39,44,45,46,47,48,49,50,51,54,56,58,59,62,65,66,68,71,74,77,79,81,
82,88,91,97,100,103,109,110,111,112,114,116,117,118,123,127,128,137,138,144,
146,159,160,164,172,175,176,178,179,188,192,198,201,208,217,220,227,232,235,
236,242,244,252,257,260,276,281,282,301,302,303,305,319,320,334,342,351,371,
391,437,439,473],[1,2,3,4,5,6,7,8,9,10,12,14,15,17,19,20,21,22,23,24,25,27,28,
29,30,31,34,36,37,39,44,45,46,47,48,49,50,51,52,54,55,56,57,58,61,62,65,67,74,
76,78,81,82,84,93,97,100,106,110,115,116,117,118,123,127,129,131,136,137,138,
139,146,156,159,160,164,165,172,182,184,185,196,226,227,232,234,240,241,252,
256,263,268,280,286,292,309,310,317,318,328,335,342,380,410,411,427,428,474],[
1,2,3,4,5,8,9,10,11,13,14,16,18,23,24,26,30,32,33,35,39,40,41,42,52,55,56,57,
59,60,61,64,66,68,69,70,71,72,75,77,78,80,89,90,94,96,99,101,104,105,113,124,
128,129,131,134,135,141,142,144,145,147,148,149,151,154,155,158,161,162,183,
187,189,191,193,197,202,203,206,212,221,222,237,258,261,267,269,271,272,277,
278,283,290,293,295,296,298,329,330,336,347,352,390,396,400,406,407,414,418,
475],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,28,32,
33,35,39,40,41,42,43,44,45,46,52,58,59,62,64,65,66,67,68,71,72,74,75,76,77,78,
83,84,86,87,89,90,94,98,99,101,102,105,113,124,127,128,130,131,132,142,144,
145,149,151,155,157,158,161,162,166,168,169,177,183,184,185,186,187,189,190,
191,193,196,197,202,208,209,213,214,223,229,256,261,266,272,278,290,294,298,
299,301,313,323,324,325,326,336,341,345,349,386,399,400,402,403,406,421,476],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,22,24,25,26,28,30,32,33,35,39,
40,41,42,44,46,52,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,83,84,86,87,88,89,90,91,94,96,99,101,102,103,104,105,107,113,124,127,
128,131,134,135,141,142,144,145,147,148,149,151,154,155,158,161,162,168,169,
173,174,175,181,183,184,185,186,187,188,189,190,191,193,196,197,199,200,202,
203,205,206,209,210,211,212,213,214,216,222,223,224,225,228,229,230,231,233,
235,236,237,238,255,256,258,269,271,272,276,277,278,290,293,295,298,299,313,
322,323,324,329,330,336,337,345,346,347,350,352,353,354,355,356,357,358,360,
361,381,396,403,404,408,414,421,426,433,434,441,477],[1,2,3,4,5,6,7,8,9,10,12,
14,15,17,19,20,21,22,23,24,25,28,30,36,37,39,44,45,46,47,52,54,55,56,57,58,61,
62,65,74,78,82,92,93,97,106,115,116,117,123,127,129,131,136,139,143,156,160,
165,170,172,182,226,227,232,234,240,241,253,263,267,268,280,286,292,309,310,
318,328,342,372,410,411,478],[1,2,3,4,6,7,8,9,10,11,12,16,17,18,20,21,22,23,
25,28,35,36,37,39,40,42,43,44,46,53,55,57,58,60,61,62,65,68,71,74,75,77,82,85,
95,97,115,116,117,122,125,127,129,130,134,144,150,152,160,171,172,180,195,207,
226,227,232,240,241,249,259,265,270,274,285,288,306,318,331,333,342,370,393,
419,479],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,28,30,35,39,40,41,42,43,44,45,46,47,52,54,55,56,57,58,59,60,61,62,63,64,65,
66,68,69,70,71,73,74,77,78,79,83,86,87,88,91,92,93,94,102,103,104,105,106,107,
123,124,125,127,128,129,131,133,135,136,139,141,143,144,148,154,156,157,165,
167,168,169,170,175,176,177,178,181,182,186,188,190,207,208,221,222,229,234,
235,236,238,253,255,257,258,260,261,262,263,264,266,267,268,274,276,279,280,
283,284,285,296,297,299,301,372,373,376,378,390,392,394,401,412,415,420,423,
424,425,480],[1,2,3,4,5,8,9,10,11,13,14,15,16,18,19,23,24,26,30,35,39,40,41,
42,43,45,47,52,54,55,56,57,59,60,61,64,68,71,77,92,94,104,105,108,123,124,125,
129,133,135,140,143,144,148,153,154,157,167,170,177,194,219,221,253,262,264,
273,283,285,287,289,300,311,312,327,373,398,405,481],[1,2,3,4,5,8,9,10,14,15,
19,23,26,30,35,39,45,47,54,55,56,57,59,61,66,68,71,77,92,115,123,128,129,143,
144,170,176,178,226,240,241,253,257,260,284,296,318,338,339,378,422,482],[1,2,
3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,34,35,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,73,74,76,77,78,79,81,83,84,86,87,88,91,93,94,100,
102,103,104,105,106,107,110,118,123,124,125,127,128,129,131,133,135,136,137,
138,139,141,144,146,148,154,156,157,159,164,165,167,168,169,173,174,175,176,
177,178,181,182,184,185,186,188,190,196,199,200,205,207,208,211,221,222,225,
229,230,231,233,234,235,236,238,252,255,256,257,258,260,261,262,263,264,266,