23],[1,3,14,24],[1,3,13,25],[1,3,12,26],[1,2,11,27],[1,3,10,28],[1,3,11,29],[
1,2,5,15,16,30],[1,2,5,16,31],[1,2,3,5,6,16,17,32],[1,4,11,33],[1,4,10,34],[1,
4,12,35],[1,4,14,36],[1,4,13,37],[1,2,4,5,7,15,38],[1,2,3,4,5,6,7,8,9,17,18,
19,20,39],[1,2,3,6,10,21,22,28,40],[1,2,3,6,11,23,27,29,41],[1,2,3,5,6,15,16,
17,30,31,32,42],[1,2,4,7,11,27,33,43],[1,3,4,8,10,28,34,44],[1,2,4,7,10,22,34,
45],[1,3,4,8,11,23,33,46],[1,3,4,8,11,29,33,47],[1,3,4,8,10,21,34,48],[1,3,4,
8,14,24,36,49],[1,3,4,8,13,25,37,50],[1,3,4,8,12,26,35,51],[1,2,4,5,7,15,16,
19,30,38,52],[1,10,53],[1,10,11,54],[1,10,12,55],[1,10,13,56],[1,10,14,57],[1,
2,3,4,6,7,8,11,20,23,27,29,33,41,43,46,47,58],[1,2,3,4,6,7,8,10,20,21,22,28,
34,40,44,45,48,59],[1,2,10,22,53,60],[1,3,10,11,21,29,54,61],[1,3,10,11,23,28,
54,62],[1,2,10,11,22,27,54,63],[1,3,10,21,28,53,64],[1,3,10,12,26,28,55,65],[
1,3,10,14,24,28,57,66],[1,3,10,13,25,28,56,67],[1,4,10,34,53,68],[1,4,10,11,
33,34,54,69],[1,4,10,12,34,35,55,70],[1,4,10,13,34,37,56,71],[1,4,10,14,34,36,
57,72],[1,2,5,10,22,53,60,73],[1,2,3,6,10,21,22,28,40,53,60,64,74],[1,2,3,6,
10,11,21,22,23,27,28,29,40,41,54,61,62,63,75],[1,2,4,7,10,22,34,45,53,60,68,
76],[1,3,4,8,10,21,28,34,44,48,53,64,68,77],[1,3,4,9,10,21,28,34,53,64,68,
78],[1,2,4,7,10,11,22,27,33,34,43,45,54,63,69,79],[1,3,4,8,10,11,21,29,33,34,
47,48,54,61,69,80],[1,3,4,8,10,11,23,28,33,34,44,46,54,62,69,81],[1,3,4,8,10,
12,26,28,34,35,44,51,55,65,70,82],[1,3,4,8,10,13,25,28,34,37,44,50,56,67,71,
83],[1,3,4,8,10,14,24,28,34,36,44,49,57,66,72,84],[1,2,4,5,7,11,15,16,19,27,
30,33,38,43,52,85],[1,10,11,12,13,14,53,54,55,56,57,86],[1,2,5,10,15,22,53,60,
73,87],[1,2,5,10,16,22,53,60,73,88],[1,2,3,5,6,10,17,21,22,28,40,53,60,64,73,
74,89],[1,2,3,4,6,7,9,10,18,21,22,28,34,40,45,53,60,64,68,74,76,78,90],[1,2,4,
5,7,10,19,22,34,45,53,60,68,73,76,91],[1,2,3,4,6,7,8,10,20,21,22,28,34,40,44,
45,48,53,59,60,64,68,74,76,77,92],[1,2,3,4,6,7,8,10,11,20,21,22,23,27,28,29,
33,34,40,41,43,44,45,46,47,48,54,58,59,61,62,63,69,75,79,80,81,93],[1,2,3,4,5,
6,7,8,9,11,15,16,17,18,19,20,23,27,29,30,31,32,33,38,39,41,42,43,46,47,52,58,
85,94],[1,3,10,11,12,13,14,21,28,29,53,54,55,56,57,61,64,86,95],[1,2,10,11,12,
13,14,22,27,53,54,55,56,57,60,63,86,96],[1,3,10,11,12,13,14,21,23,24,25,26,28,
53,54,55,56,57,62,64,65,66,67,86,97],[1,2,5,10,16,22,31,53,60,73,88,98],[1,2,
3,5,6,10,16,17,21,22,28,32,40,53,60,64,73,74,88,89,99],[1,2,5,10,15,16,22,30,
53,60,73,87,88,100],[1,4,10,11,12,13,14,33,34,35,36,37,53,54,55,56,57,68,69,
70,71,72,86,101],[1,2,4,5,7,10,15,22,34,38,45,53,60,68,73,76,87,102],[1,2,3,4,
5,6,7,8,9,10,17,18,19,20,21,22,28,34,39,40,44,45,48,53,59,60,64,68,73,74,76,
77,78,89,90,91,92,103],[1,2,3,6,10,11,12,13,14,21,22,23,24,25,26,27,28,29,40,
41,53,54,55,56,57,60,61,62,63,64,65,66,67,74,75,86,95,96,97,104],[1,2,3,5,6,
10,15,16,17,21,22,28,30,31,32,40,42,53,60,64,73,74,87,88,89,98,99,100,105],[1,
3,4,8,10,11,12,13,14,21,28,29,33,34,35,36,37,44,47,48,53,54,55,56,57,61,64,68,
69,70,71,72,77,80,86,95,101,106],[1,2,4,7,10,11,12,13,14,22,27,33,34,35,36,37,
43,45,53,54,55,56,57,60,63,68,69,70,71,72,76,79,86,96,101,107],[1,3,4,8,10,11,
12,13,14,21,23,24,25,26,28,33,34,35,36,37,44,46,48,49,50,51,53,54,55,56,57,62,
64,65,66,67,68,69,70,71,72,77,81,82,83,84,86,97,101,108],[1,2,4,5,7,10,15,16,
19,22,30,34,38,45,52,53,60,68,73,76,87,88,91,100,102,109],[1,2,3,4,6,7,8,10,
11,12,13,14,20,21,22,23,24,25,26,27,28,29,33,34,35,36,37,40,41,43,44,45,46,47,
48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,
76,77,79,80,81,82,83,84,86,92,93,95,96,97,101,104,106,107,108,110],[1,2,4,5,7,
10,11,12,13,14,15,16,19,22,27,30,33,34,35,36,37,38,43,45,52,53,54,55,56,57,60,
63,68,69,70,71,72,73,76,79,85,86,87,88,91,96,100,101,102,107,109,111],[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,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
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]],
0,[[1],[1,1],[1,1],[1,1],[1,1,1],[1,1,2,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,
1],[1,1],[1,1],[1,1],[1,1],[1,1,3,1],[1,1,1,1],[1,1,4,1,2,1],[1,1,6,1,3,1,2,
1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,
7,1,1],[1,7,1,1],[1,1,1,1],[1,1,1,1],[1,7,1,1],[1,1,5,2,1,1],[1,1,1,1,1],[1,1,
8,1,4,1,2,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,7,1,1],[1,1,4,3,4,1,
1],[1,1,8,1,3,4,1,2,2,3,1,1,1,1],[1,7,8,7,1,1,1,1,1],[1,1,14,7,1,1,1,1,1],[1,
1,8,5,4,2,1,2,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[
1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,
7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,4,9,4,4,3,4,3,1,1],[1,8,1],[1,1,7,1],[1,1,7,
1],[1,1,7,1],[1,1,7,1],[1,1,14,7,7,7,14,1,7,1,1,1,1,1,1,1,1,1],[1,7,8,7,7,7,
14,1,7,1,1,1,1,1,1,1,1,1],[1,49,8,56,1,1],[1,49,1,7,7,49,1,1],[1,7,1,7,1,7,1,
1],[1,7,1,7,1,7,1,1],[1,7,8,1,7,1,1],[1,7,1,7,1,7,1,1],[1,7,1,7,1,7,1,1],[1,7,
1,7,1,7,1,1],[1,49,8,14,1,1],[1,49,1,7,7,7,1,1],[1,49,1,7,7,7,1,1],[1,49,1,7,
7,7,1,1],[1,49,1,7,7,7,1,1],[1,49,49,8,56,1,1,1],[1,49,14,49,8,2,56,14,14,1,1,
2,1],[1,7,56,49,1,7,7,1,1,7,7,49,7,7,1,1,1,1,1],[1,49,49,49,8,56,14,14,1,1,1,
1],[1,7,49,49,8,1,7,14,7,7,1,1,1,1],[1,21,49,49,8,3,21,14,1,3,1,1],[1,7,49,49,
1,7,1,7,7,7,7,7,1,1,1,1],[1,49,49,49,1,7,7,49,7,7,7,7,1,1,1,1],[1,7,49,49,1,7,
1,7,7,7,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,7,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,
7,7,7,1,1,1,1],[1,7,49,49,1,7,1,7,7,7,7,7,1,1,1,1],[1,1,28,21,28,8,14,21,28,8,
21,8,14,8,14,1],[1,8,7,14,14,14,1,1,2,2,2,1],[1,49,147,8,49,56,1,1,3,1],[1,49,
49,8,49,56,1,1,1,1],[1,49,28,49,98,8,49,4,56,28,28,1,1,4,1,2,1],[1,49,42,49,
147,49,98,8,49,6,56,42,14,42,14,1,1,6,1,3,1,2,1],[1,49,49,147,49,8,49,56,14,
14,1,1,1,3,1,1],[1,49,14,49,49,49,98,8,49,2,56,14,14,14,14,14,14,1,14,1,2,1,1,
1,2,1],[1,7,56,49,49,49,98,1,7,49,7,1,1,7,7,49,7,7,7,7,7,7,7,7,7,7,1,7,7,1,1,
1,1,1,1,1,1,1],[1,1,56,28,21,28,28,56,56,8,14,21,42,28,28,28,8,8,8,21,21,21,8,
14,28,8,21,8,8,8,14,8,1,1],[1,49,8,7,14,14,14,7,49,49,1,1,2,2,2,1,7,1,1],[1,
49,8,7,14,14,14,56,49,1,1,2,2,2,1,7,1,1],[1,49,8,7,14,14,14,7,7,14,14,14,49,1,
1,2,2,2,7,7,14,14,14,1,1],[1,49,49,8,49,56,49,1,1,1,1,1],[1,49,56,49,196,8,49,
98,8,56,56,49,56,1,1,8,1,4,1,2,1],[1,49,245,8,98,49,56,49,1,1,5,2,1,1],[1,343,
8,7,14,14,14,49,98,98,98,98,1,1,2,2,2,7,7,14,14,14,1,1],[1,49,196,147,196,8,
49,56,56,49,56,1,1,4,3,4,1,1],[1,49,56,49,147,196,49,98,98,8,147,49,49,49,8,
56,56,14,49,56,14,14,14,1,14,1,8,1,3,4,1,2,2,3,1,1,1,1],[1,49,98,343,8,7,14,
14,14,14,56,7,14,14,14,49,98,49,98,49,1,1,2,2,2,1,1,7,7,14,14,14,14,7,7,1,1,1,
1,1],[1,49,56,245,196,8,98,49,98,8,56,56,49,49,49,56,49,1,1,8,5,4,2,1,2,1,1,1,
1],[1,49,343,343,8,7,14,14,14,7,49,49,49,98,98,98,98,49,49,49,1,1,2,2,2,1,7,7,
7,14,14,14,7,7,1,1,1,1],[1,49,343,343,8,7,14,14,14,56,49,49,98,98,98,98,49,98,
1,1,2,2,2,1,7,7,7,14,14,14,7,7,1,1,1,1],[1,49,343,343,8,7,14,14,14,7,7,14,14,
14,49,49,98,98,98,98,49,49,49,98,98,98,1,1,2,2,2,7,7,14,14,14,7,7,14,14,14,7,
7,14,14,14,1,1,1,1],[1,49,196,441,196,8,196,147,196,56,147,56,49,56,49,1,1,4,
9,4,4,3,4,3,1,1],[1,49,98,343,343,343,686,8,7,14,14,14,343,14,56,7,14,14,14,
49,98,49,49,98,98,98,98,98,49,49,98,98,49,49,98,98,98,98,1,1,2,2,2,49,98,1,1,
7,7,14,14,14,14,7,7,14,14,14,7,7,7,14,7,7,7,14,14,14,1,7,7,1,1,1,1,1,1,1,1,
1],[1,49,1372,1029,1372,8,56,112,112,112,686,1029,1372,56,392,1029,392,392,
784,784,784,686,392,392,686,1,8,16,16,16,1,56,28,56,112,112,112,21,28,56,49,8,
14,21,28,8,21,8,14,8,14,1],[1,49,392,1372,1029,1372,1372,2744,2744,8,56,112,
112,112,686,1029,2058,1372,1372,1372,56,56,56,112,112,112,392,392,392,1029,
1029,1029,392,392,784,784,784,686,1372,392,392,1029,392,392,392,392,392,392,
784,784,784,686,1,8,16,16,16,392,392,1,8,56,56,56,112,112,112,28,56,112,112,
112,21,28,56,28,56,56,56,56,56,112,112,112,49,8,14,21,42,28,28,28,56,49,8,8,8,
21,21,21,8,14,28,8,21,8,8,8,14,8,1,1]],
[1,2,2,3,4,4,6,6,6,7,7,7,7,7,8,8,8,12,12,12,14,14,14,14,14,14,14,14,14,16,16,
16,21,21,21,21,21,24,24,28,28,32,42,42,42,42,42,42,42,42,42,48,49,49,49,49,49,
84,84,98,98,98,98,98,98,98,98,147,147,147,147,147,196,196,196,294,294,294,294,
294,294,294,294,294,336,343,392,392,392,588,588,588,588,672,686,686,686,784,
784,784,1029,1176,1176,1372,1568,2058,2058,2058,2352,4116,16464,32928],
[112,94,59,39,42,39,39,20,18,110,93,82,83,84,52,42,32,39,39,39,92,93,93,84,83,
82,58,59,58,42,42,42,58,59,51,49,50,52,39,59,58,42,58,59,59,58,58,59,49,50,51,
52,112,110,108,108,108,58,59,112,110,93,93,92,82,84,83,103,93,82,83,84,105,
103,93,103,92,90,93,93,93,82,83,84,94,110,109,105,99,103,103,103,93,94,110,
110,110,105,105,105,110,109,103,110,105,110,110,110,109,110,112,112],
[1,1,1,1,1,1,1,1,4,1,1,1,1,1,2,1,2,4,4,1,10,10,11,14,13,12,1,1,11,5,1,5,11,10,
12,14,13,15,7,10,11,16,11,10,10,11,11,10,14,13,12,38,1,1,1,1,1,11,10,53,54,11,
10,10,12,14,13,53,54,55,56,57,53,53,54,53,53,68,54,54,54,55,56,57,85,10,60,53,
60,68,68,53,54,85,54,53,86,53,73,73,86,87,76,86,88,86,86,86,102,86,111,111],
[( 1,37,19,31,39,54,12)( 2,23,14, 7,55,27,36)( 3,42,44,41,56, 6,43)
( 4,24,29,25,33,47,52)( 5,16, 9,26, 8,48,34)(10,13,20,22,18,15,49)
(11,51,28,57,50,30,46)(17,45,35,40,53,38,21),( 1,17,40,25,57,46, 6,44,28,36,
 14,33, 5,22,15,45)( 2,34,50,11,52,37,35,51, 9,43,42,56,24,27,41,48)
( 3,23,12,20,49,19,54,29,10,26, 7,30,38,13,18,47)( 4,21,39,53,31,55,16, 8)],
[[[[]]],[[[1,2],[2,2],[3,1,4,-1,3,1,4,-1]]],[[[1,3,2,-1]]],[[[2,1,1,-1,2,-1,1,
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2,1,1,1,2,1],[3,1,4,-1,3,1,4,1]],[[1,2],[3,1,2,1,3,1]]],[[[1,2],[3,1,2,1,1,1,
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1],[3,1,1,-2,3,1]]],[[[1,2],[2,1,1,-1,2,-1,3,1,2,-1,3,1]],[[2,1,1,-1,2,1,1,1,
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