/*
www-ATLAS of Group Representations.
J1 represented as 120 x 120 matrices over GF(125).
*/

F<w>:=GF(125);

x:=CambridgeMatrix(3,F,120,\[
71,104,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
99,84,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
95,65,97,79,115,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
69,89,4,87,118,78,45,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
31,30,77,118,99,61,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
81,63,72,89,67,63,107,43,8,122,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
110,76,64,47,72,90,82,21,122,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
67,124,114,54,83,87,64,41,77,46,83,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
66,106,88,98,70,7,26,101,121,13,101,61,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
11,35,44,52,93,121,6,58,11,79,111,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
57,122,90,51,47,43,76,51,106,102,82,97,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
108,107,29,74,0,62,59,107,92,39,21,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
9,28,62,112,88,30,40,61,40,105,23,61,58,108,9,115,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
9,117,63,72,38,19,54,55,73,63,40,98,6,79,110,119,69,85,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
70,107,118,6,32,27,52,93,33,79,46,66,62,114,71,21,47,92,47,70,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
32,56,86,86,3,68,98,0,55,46,85,75,12,53,90,37,112,85,111,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
57,76,34,69,70,3,116,43,42,56,98,11,93,80,87,81,90,43,76,120,79,59,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
3,101,46,40,12,23,31,55,103,34,26,44,48,65,113,3,73,84,46,77,65,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
40,97,55,13,106,92,98,102,4,27,13,55,80,75,99,94,19,11,124,70,68,4,29,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,94,55,52,0,91,55,41,92,39,2,37,9,82,90,16,93,100,40,45,3,57,63,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,101,18,72,49,75,22,67,59,73,16,74,34,67,73,109,51,96,40,66,112,106,7,87,43,50,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,71,66,37,31,55,46,78,25,52,73,121,77,25,111,36,26,88,85,76,33,61,44,106,76,115,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,117,4,63,30,96,92,30,121,18,106,21,84,94,34,46,39,92,29,113,69,89,70,33,99,45,106,42,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,50,59,43,109,8,109,45,55,2,101,3,70,39,15,41,6,73,98,16,53,37,69,21,109,15,115,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,72,121,4,93,16,117,123,49,42,74,1,50,77,95,107,64,74,55,29,68,52,117,41,20,53,20,92,82,53,63,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,124,116,55,45,54,47,36,70,34,73,35,64,30,115,71,111,94,16,11,3,3,26,99,19,105,87,58,107,108,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,14,68,85,83,72,64,85,115,81,60,96,79,14,113,37,35,121,35,33,85,4,0,64,40,94,41,83,9,115,20,4,85,79,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,57,1,91,123,100,75,4,44,6,2,50,105,24,49,16,12,122,56,120,6,81,104,54,25,12,56,87,15,91,123,105,123,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,3,24,61,103,57,68,97,92,65,36,61,26,91,91,99,39,81,7,40,63,96,14,19,71,8,102,4,119,105,53,115,53,41,110,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,38,98,31,78,2,63,60,38,53,83,120,85,54,19,112,124,91,121,106,73,93,5,23,22,110,22,7,54,65,6,114,5,28,113,68,87,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,9,111,50,11,124,58,58,120,19,52,101,73,49,121,13,121,9,60,109,54,109,34,70,101,75,0,83,22,112,61,79,50,20,1,13,114,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,112,82,42,27,0,87,98,68,34,73,114,123,34,59,61,72,65,90,42,84,17,63,47,11,17,47,110,1,51,123,2,8,64,77,55,72,117,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,5,28,115,46,124,91,70,29,49,14,47,80,24,29,82,109,24,108,115,123,39,72,70,77,88,19,111,39,89,39,85,124,65,75,124,119,23,113,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,29,42,3,119,102,44,94,117,120,43,9,0,40,17,106,119,101,14,24,34,52,18,48,45,82,85,118,22,25,12,33,62,55,109,109,28,89,66,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,14,99,3,36,98,17,114,73,67,5,17,75,11,59,56,33,2,47,8,72,83,39,66,19,104,23,5,108,25,43,58,70,72,106,25,103,0,50,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,33,106,67,102,98,114,49,10,123,11,0,98,68,124,95,101,40,101,87,3,97,38,49,51,32,110,72,4,104,19,32,69,124,17,6,26,43,33,120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,118,44,118,66,113,89,79,61,11,35,38,13,39,90,110,124,123,28,22,5,54,1,15,5,104,100,74,64,39,16,55,45,32,104,117,50,55,93,56,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,74,90,78,82,99,77,50,62,99,3,9,123,48,109,0,76,9,112,82,94,4,122,8,108,12,9,5,97,115,75,23,89,41,94,21,43,74,37,111,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,109,32,81,77,43,11,115,89,29,27,18,42,7,43,85,7,110,39,15,35,17,112,112,115,31,7,107,4,47,71,30,63,116,1,83,37,7,35,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,108,100,2,124,109,4,88,4,101,63,44,10,10,28,27,32,8,53,73,113,122,48,74,19,107,107,72,23,123,68,108,28,104,5,106,63,117,76,68,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,15,11,113,17,32,44,47,51,98,85,82,32,37,67,45,121,6,42,43,16,45,53,87,51,111,63,83,123,2,10,62,66,77,72,99,49,32,94,89,16,33,38,16,49,53,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,71,59,43,41,55,30,68,119,85,110,47,9,3,68,74,91,2,59,49,118,1,35,78,97,30,113,16,32,22,119,71,100,103,22,38,99,92,73,7,55,106,61,30,90,2,107,35,71,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,11,59,43,85,35,37,25,96,64,115,88,32,93,0,88,52,92,41,109,15,38,40,79,112,109,61,94,2,97,25,95,99,45,115,16,108,38,86,94,120,4,103,88,19,84,29,37,112,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,19,60,72,25,92,6,123,102,46,6,5,94,63,73,13,49,47,71,78,85,39,107,98,120,4,117,51,4,62,21,61,71,120,56,7,62,101,65,48,25,103,36,95,31,67,99,107,37,52,29,98,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,78,91,3,9,118,22,59,71,41,2,20,6,50,96,70,17,5,49,94,12,78,66,11,66,65,96,83,44,12,9,37,88,51,102,21,52,72,56,2,79,7,13,28,44,101,45,76,47,24,31,11,64,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,59,88,47,64,26,98,51,85,7,77,41,105,56,4,39,121,13,60,80,89,60,12,44,13,86,60,56,114,4,4,76,116,108,58,70,30,10,63,19,77,16,11,54,23,79,124,47,78,92,67,91,80,16,65,115,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,68,99,37,62,43,36,48,121,103,124,33,40,29,104,110,23,61,102,104,10,11,23,5,23,63,21,117,1,112,62,74,30,39,10,27,105,48,109,103,22,48,41,74,71,4,44,33,98,106,61,80,32,118,7,44,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,95,113,38,66,124,15,56,121,95,118,65,35,68,19,118,121,74,112,50,30,11,28,108,116,3,64,87,69,81,67,113,93,42,109,72,43,52,122,98,116,123,55,103,63,35,12,4,90,42,66,74,12,64,113,24,87,71,98,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,26,96,54,113,115,69,107,100,44,13,60,10,124,41,22,14,36,67,28,93,43,117,120,28,16,124,61,90,94,53,46,117,8,63,21,2,29,1,99,118,75,8,100,97,74,54,94,98,47,28,100,113,87,98,92,60,115,110,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,83,113,53,107,85,8,3,103,66,58,2,56,14,68,77,6,121,90,115,59,88,111,20,105,94,99,114,78,9,101,7,6,23,70,92,5,39,74,116,31,79,112,116,121,9,90,107,72,4,10,50,42,31,33,94,123,100,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,47,99,103,76,116,0,27,20,64,122,116,20,16,57,28,15,77,21,108,34,80,98,94,26,113,88,62,91,104,10,75,26,115,108,89,8,109,90,92,110,81,70,66,101,33,114,41,4,44,74,11,53,32,59,17,123,67,44,114,101,110,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,107,104,21,64,67,7,99,33,33,31,76,9,53,92,22,6,75,70,78,35,64,9,100,24,30,32,56,4,28,82,15,68,10,6,7,16,66,109,46,54,122,50,91,97,23,77,8,22,6,67,42,19,110,12,16,80,13,47,53,72,114,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,9,12,39,115,91,96,71,109,41,105,10,18,46,70,101,106,122,84,18,119,37,69,73,82,2,30,43,71,73,92,4,34,81,80,117,5,119,50,30,34,59,120,113,113,10,106,46,104,64,37,47,64,92,101,69,66,92,108,9,89,56,105,26,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,17,34,113,96,100,104,108,47,5,7,95,109,38,41,102,10,112,117,39,30,47,1,73,113,0,77,11,45,3,112,64,100,29,109,75,123,106,107,1,123,75,34,87,63,69,44,99,33,53,31,47,53,45,37,82,86,40,60,1,106,81,39,96,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,116,91,38,96,122,76,50,120,47,16,23,14,103,104,42,25,7,78,58,73,36,97,9,96,36,90,55,38,13,113,38,28,119,80,79,116,90,59,108,31,21,36,7,46,92,21,106,107,21,34,116,85,94,106,72,4,18,8,71,15,38,103,117,102,119,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,70,40,14,113,115,65,114,41,121,51,1,104,95,89,8,31,115,68,71,78,98,80,104,12,86,65,92,47,89,84,109,93,39,80,118,99,24,73,106,31,91,116,39,106,52,48,54,38,13,109,56,9,69,28,113,69,93,50,55,83,4,50,77,11,100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,14,120,31,50,113,14,106,94,69,52,27,26,122,18,103,50,83,6,74,15,71,56,39,100,50,35,1,40,123,33,102,68,11,120,36,98,102,105,3,28,122,78,44,78,109,31,56,105,47,87,83,38,66,90,12,7,72,123,59,62,120,53,118,35,63,58,113,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,108,96,77,7,99,7,34,62,82,89,2,10,102,20,18,102,93,32,5,97,79,12,48,98,18,87,18,19,3,58,99,89,76,87,21,121,30,115,57,61,90,36,40,96,35,62,93,27,85,112,57,119,38,66,32,89,7,51,89,5,122,39,60,37,7,19,72,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,87,56,44,119,37,45,108,82,31,48,96,28,32,98,53,44,60,13,42,112,36,98,33,23,122,105,63,30,8,68,70,74,90,72,13,113,65,41,95,75,51,115,53,69,43,99,35,29,16,73,49,119,85,30,84,64,72,45,84,25,45,16,101,29,38,17,76,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,97,36,87,98,89,58,75,41,110,66,46,73,36,83,56,33,47,114,103,27,95,81,46,58,99,54,15,43,71,118,59,116,88,108,63,59,60,9,48,92,105,115,43,40,19,44,57,79,123,6,9,9,16,5,83,67,123,32,75,83,124,99,14,84,108,35,14,7,95,115,113,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,17,70,75,74,6,37,121,124,6,15,46,52,21,95,119,72,4,30,55,94,49,58,40,46,53,48,64,71,86,0,96,29,36,123,91,34,107,16,50,114,79,57,26,104,15,31,94,96,118,53,107,7,88,108,110,54,45,65,21,99,60,44,75,102,5,85,32,41,60,1,19,123,117,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,111,52,121,86,31,118,67,4,70,36,105,109,124,28,27,72,83,36,94,97,16,67,42,55,72,26,17,5,79,41,12,23,26,6,4,40,91,91,118,79,17,107,33,55,9,114,94,55,54,33,54,42,64,92,65,86,2,70,85,84,11,117,57,118,115,34,33,65,115,63,120,84,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,92,84,53,90,61,8,62,63,58,93,74,86,14,114,52,6,52,96,82,29,53,93,111,94,29,76,74,65,19,5,86,5,110,59,96,89,65,124,41,66,8,91,109,69,88,71,83,94,104,83,51,34,79,22,108,61,3,44,84,88,115,111,121,119,109,82,6,16,10,102,46,4,9,16,55,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,22,121,35,111,44,0,30,59,112,19,28,4,79,65,76,97,39,101,116,41,106,25,105,94,42,100,26,114,109,65,105,63,52,72,39,121,16,7,36,61,50,34,6,23,118,110,72,67,73,52,35,52,83,1,111,63,0,100,120,38,3,8,93,97,26,61,47,102,103,108,14,35,12,62,89,56,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,27,42,16,40,22,15,42,40,5,45,7,112,107,114,59,80,68,1,52,59,16,65,73,115,69,62,11,98,74,47,71,88,56,109,3,3,87,73,122,30,50,84,52,0,112,109,74,114,94,61,31,63,109,52,5,123,59,55,51,123,29,78,30,22,24,52,17,121,29,75,83,84,2,60,95,117,106,79,121,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,19,47,78,51,123,58,27,19,19,27,63,124,84,23,54,6,4,90,42,124,36,40,95,89,47,113,36,55,33,119,101,61,9,2,17,89,50,86,113,3,85,11,46,90,101,79,59,98,27,44,52,87,68,7,97,33,17,81,109,104,46,98,59,18,64,34,113,30,50,88,8,104,105,66,94,34,34,69,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,11,5,45,24,0,48,69,78,0,93,98,117,122,18,28,80,27,101,97,73,46,7,103,46,97,76,5,100,58,7,13,55,60,11,18,118,118,53,82,87,63,77,8,1,39,72,57,77,110,115,123,81,94,117,8,29,53,83,89,101,20,52,23,99,38,29,68,19,8,51,30,107,72,87,90,58,122,84,66,35,13,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,24,59,102,28,76,64,32,18,112,66,76,76,102,116,26,49,82,100,116,56,64,5,107,109,63,74,31,75,32,65,33,55,23,14,77,103,25,41,104,110,98,24,93,52,63,84,84,76,37,43,119,0,52,2,119,21,70,82,118,105,65,23,110,74,110,78,2,96,62,37,94,64,10,33,82,122,84,38,75,93,85,105,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,30,85,94,95,44,83,97,4,0,35,38,21,29,73,98,110,73,14,74,90,115,63,98,42,19,114,30,107,60,70,38,3,93,37,77,124,92,117,42,65,57,124,17,54,115,87,20,52,40,100,74,104,63,113,85,96,51,80,68,105,28,75,98,34,111,19,115,101,29,60,3,47,73,51,99,85,93,80,113,118,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,88,20,13,70,48,77,97,2,44,114,104,119,20,33,28,85,93,23,38,120,42,66,76,83,81,34,65,65,13,26,84,110,101,26,31,110,83,38,50,13,19,1,55,53,26,7,14,80,27,57,83,101,46,100,6,0,21,50,87,17,66,108,73,30,39,95,84,70,114,56,5,2,97,88,8,35,20,31,69,68,2,104,54,56,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,42,52,22,22,108,78,77,4,44,8,22,68,18,54,24,78,120,86,1,104,106,117,119,65,18,17,93,86,74,73,21,15,39,68,112,7,122,83,5,83,70,111,5,105,76,94,107,122,65,114,39,79,88,112,23,100,73,62,40,0,13,77,80,88,93,40,89,99,42,70,32,18,96,66,4,111,1,82,66,2,24,67,67,117,29,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,23,28,66,97,5,106,20,11,101,48,31,0,37,121,114,26,12,23,82,44,89,76,3,59,117,107,82,37,13,29,115,59,3,54,66,97,88,122,62,13,111,25,44,79,28,103,86,87,7,9,111,60,8,89,21,0,83,115,70,80,68,45,85,39,105,74,55,18,13,66,64,113,91,93,27,3,47,12,93,97,117,19,28,21,69,117,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,9,9,28,79,120,105,108,35,51,98,39,73,25,28,30,111,33,7,4,22,83,65,70,84,95,121,77,15,11,69,35,26,56,5,86,38,94,117,101,49,31,79,94,84,59,6,115,38,48,109,97,53,17,62,68,116,106,53,5,31,1,53,90,20,46,57,111,51,36,109,115,67,24,80,38,5,28,9,102,113,57,32,7,52,102,106,83,113,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,47,42,81,75,64,61,67,67,106,80,110,58,119,118,73,122,110,24,95,32,46,93,26,96,100,77,72,10,34,70,21,44,85,93,111,3,108,98,22,2,58,60,84,40,55,14,1,24,70,105,99,26,90,69,15,80,3,5,62,79,23,7,4,85,40,58,27,109,80,6,13,82,41,23,97,114,20,110,112,72,14,14,121,39,52,66,57,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,6,70,106,93,103,44,115,92,30,6,31,57,115,115,105,35,30,37,119,14,111,79,46,68,64,116,14,21,2,124,92,84,18,71,54,115,68,14,80,70,112,26,124,108,30,0,16,33,30,97,22,97,81,0,98,119,71,59,56,82,105,27,68,58,26,38,89,118,45,1,26,71,120,27,99,32,60,40,53,19,112,83,62,104,106,124,45,22,78,118,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,7,60,122,83,110,92,86,28,52,28,40,111,12,113,93,2,93,104,82,112,76,32,113,103,37,21,76,37,11,82,101,20,91,104,66,6,13,112,92,73,119,123,92,23,52,66,92,26,89,43,23,91,55,105,54,59,121,51,110,107,42,25,1,117,23,4,91,2,59,38,40,104,100,66,109,6,75,73,68,87,28,65,23,13,9,12,124,6,17,20,115,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,82,118,16,1,9,115,54,52,12,95,96,114,86,61,110,94,67,17,58,19,105,121,64,82,43,32,18,70,62,56,94,77,83,13,47,26,56,104,72,70,14,4,88,0,102,46,16,12,23,121,79,2,90,73,16,86,5,100,72,26,49,1,8,59,112,124,11,99,66,73,100,15,34,46,83,96,82,12,123,120,50,122,72,84,68,112,77,104,93,105,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,10,40,45,99,11,31,0,47,63,88,107,123,121,41,108,63,55,53,27,116,81,5,97,48,61,21,62,49,69,18,3,2,98,55,59,43,15,101,15,78,51,35,75,88,81,52,101,71,53,98,49,63,104,38,11,110,90,108,72,82,89,31,51,47,81,21,57,118,1,28,40,40,49,101,113,23,124,110,48,78,42,94,9,117,42,101,93,121,120,86,38,61,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,105,58,41,40,9,97,61,105,107,118,15,53,10,84,6,103,83,67,89,24,86,55,74,114,81,24,51,111,66,51,52,50,75,23,65,54,7,71,34,79,74,16,51,124,43,50,57,58,74,115,26,21,14,103,26,16,60,0,8,78,105,74,116,6,53,86,9,83,90,11,68,81,66,71,97,122,7,83,56,5,101,81,91,7,119,105,123,96,19,89,17,79,92,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,51,100,25,54,17,55,18,45,111,69,88,26,4,96,43,66,43,39,68,7,98,98,66,119,25,78,37,63,92,71,68,89,51,121,4,118,89,63,116,5,98,31,96,112,62,8,12,115,5,19,70,8,124,63,100,93,10,26,1,116,94,12,87,72,14,18,100,41,85,95,37,84,50,91,96,78,59,16,115,99,55,70,51,102,17,100,83,11,97,23,30,70,102,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,45,88,112,39,30,34,57,31,79,14,25,82,88,19,65,99,39,82,121,7,11,93,6,27,113,47,53,80,21,12,95,98,45,100,22,21,85,1,18,0,83,46,88,33,66,118,26,48,30,91,29,76,110,8,79,42,115,17,55,34,30,39,41,23,17,87,42,89,98,7,80,33,25,109,60,118,116,13,69,9,25,28,34,105,79,99,57,116,18,95,76,52,68,8,85,123,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,88,4,102,69,10,26,112,109,96,31,21,56,18,90,107,13,92,60,80,102,102,100,31,0,76,45,4,16,13,6,9,122,5,80,108,12,44,33,6,88,57,124,5,28,50,71,95,66,84,73,79,92,71,67,122,53,78,120,64,51,97,62,114,26,116,53,86,25,65,97,77,83,3,28,70,32,42,11,57,91,98,111,64,96,22,57,44,74,31,57,105,65,56,62,44,10,69,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,121,62,95,88,40,33,94,90,2,3,107,3,55,64,117,27,108,66,24,8,72,121,53,111,38,21,27,38,16,31,41,33,2,75,124,114,96,17,17,103,43,0,49,110,28,92,48,113,56,101,60,35,74,76,62,70,67,99,73,44,76,20,115,8,68,13,13,80,79,100,92,79,76,70,19,95,110,54,113,81,83,63,21,12,9,53,92,111,96,69,2,96,99,33,66,75,47,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,13,27,110,75,37,21,26,59,43,102,0,74,93,22,107,97,1,93,89,38,6,109,117,71,89,86,50,39,15,31,30,69,17,34,22,19,14,43,62,45,104,114,26,38,27,65,1,45,91,85,46,69,56,9,33,106,104,60,59,68,37,7,93,88,57,112,0,59,87,10,51,0,59,37,9,31,0,123,78,50,87,91,90,107,17,119,12,40,49,79,24,113,110,100,53,107,4,119,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,49,71,113,84,122,31,104,70,96,28,61,83,110,35,76,25,44,93,93,77,41,47,35,48,54,97,105,59,88,18,101,55,92,46,120,113,89,77,41,42,18,14,91,27,106,56,114,118,111,31,29,46,97,107,102,29,83,24,103,43,53,9,86,57,79,93,32,67,64,113,36,17,94,82,36,73,72,6,11,42,99,46,73,79,69,26,52,108,85,45,42,123,90,21,79,14,39,39,98,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,124,121,4,100,75,108,0,29,56,0,98,24,60,43,36,14,51,25,4,39,40,8,9,99,109,113,90,47,74,96,56,81,100,123,49,15,5,65,72,59,77,94,61,76,10,42,111,1,10,88,25,105,61,115,107,123,65,97,59,36,1,114,68,1,13,92,47,40,19,54,112,85,24,65,112,89,122,75,114,69,77,93,118,11,104,118,28,91,90,20,26,86,101,11,18,68,100,56,77,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,49,117,76,21,54,122,114,97,47,17,115,31,60,92,70,68,55,121,3,96,46,25,59,26,114,107,95,106,56,50,78,76,4,2,51,64,115,71,28,116,70,77,24,77,6,104,102,108,106,65,68,40,124,60,90,21,124,44,59,23,21,62,50,15,85,12,28,1,85,3,80,58,118,38,62,93,37,39,113,77,35,83,79,76,89,73,105,10,111,68,112,31,123,95,36,65,51,54,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,45,119,67,103,121,15,62,55,114,6,65,34,10,32,29,78,97,22,33,32,96,40,55,7,100,84,122,108,20,81,31,50,75,110,97,10,59,123,115,66,100,120,56,23,105,26,120,2,12,113,112,57,116,124,42,42,71,28,18,121,82,48,89,63,70,50,33,30,2,25,92,86,61,52,85,46,60,86,7,36,94,21,21,72,62,13,65,24,72,100,64,55,16,26,55,67,41,64,114,55,9,39,117,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,115,65,82,106,10,42,117,45,97,32,24,106,97,77,40,115,118,106,72,24,106,78,2,33,2,4,49,114,111,79,12,107,92,21,85,67,9,11,82,27,3,15,105,79,18,58,33,120,92,109,33,35,35,106,87,102,81,11,44,124,19,91,49,102,36,104,103,73,58,4,91,121,96,49,2,3,16,40,80,80,114,117,124,6,0,36,122,48,98,45,1,18,85,9,117,115,93,61,71,93,102,38,49,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,22,51,59,60,25,97,98,19,5,61,20,123,116,103,18,33,37,36,110,80,116,67,102,74,57,46,122,35,93,111,121,84,79,15,77,94,100,121,48,116,87,33,17,35,104,30,92,59,104,55,8,44,103,118,74,21,2,15,52,54,120,22,89,8,72,24,52,45,63,25,17,23,30,5,103,35,102,74,124,9,82,85,78,83,48,121,4,49,97,62,55,12,110,11,83,97,60,10,89,112,17,27,28,33,93,26,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,114,48,108,78,86,30,88,96,4,18,78,83,111,34,39,20,97,53,14,64,14,65,43,55,10,12,26,107,117,61,71,19,110,52,1,66,21,42,51,35,122,53,106,24,53,31,112,31,84,93,74,75,53,69,2,36,93,124,22,86,66,112,105,10,118,2,24,31,108,61,71,57,119,66,55,110,13,113,50,9,17,62,122,38,61,23,68,21,2,25,55,120,46,63,71,34,109,71,16,3,60,103,50,87,41,101,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,37,118,96,33,0,28,109,50,48,83,123,23,93,53,0,73,23,107,106,27,48,81,114,26,73,9,91,116,30,52,37,82,87,48,111,89,3,96,121,120,0,40,14,87,21,48,50,36,25,21,8,64,73,119,1,116,104,41,122,37,22,19,84,28,56,35,98,53,92,70,13,114,14,48,53,101,54,120,68,109,62,93,74,15,77,115,4,72,100,114,107,21,117,60,116,105,58,20,19,71,83,117,51,100,76,44,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,98,123,28,70,47,0,109,69,84,45,25,67,20,27,65,49,69,29,97,33,88,116,29,98,54,15,35,25,80,52,13,94,116,9,15,68,46,67,0,14,80,94,53,77,5,58,92,114,22,90,75,94,64,105,36,123,44,5,91,87,28,6,66,102,59,86,46,0,31,43,68,12,64,121,59,19,119,49,112,6,103,115,34,94,23,102,75,118,113,105,56,72,30,122,107,67,12,32,57,1,79,95,33,21,25,22,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,122,108,89,8,75,63,19,75,58,106,27,73,75,45,84,25,20,43,89,92,92,94,118,53,28,108,46,104,37,9,23,19,50,79,103,25,44,17,95,27,118,119,75,58,58,17,56,114,20,48,17,1,4,44,1,12,99,72,32,28,88,17,6,35,106,47,118,15,103,47,31,6,93,76,91,8,76,2,1,101,42,101,1,120,18,118,101,119,73,121,115,100,105,41,22,21,114,42,24,60,89,50,96,109,51,47,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,23,67,73,92,5,99,51,73,33,44,107,0,52,81,65,77,50,77,17,3,58,16,86,31,4,104,45,90,70,80,77,122,97,118,90,30,35,3,124,31,37,113,86,69,60,88,70,2,107,0,39,109,49,18,124,75,36,91,100,68,60,9,82,82,110,0,113,44,51,114,111,20,41,119,12,97,35,12,21,86,120,118,32,24,59,57,108,59,0,3,123,56,6,78,75,23,15,31,97,29,123,85,8,98,99,81,0,0,0,0,0,0,0,0,0,0,0,0,0,
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61,71,1,73,112,91,11,33,87,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
19,73,107,123,59,123,32,66,118,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
61,120,75,77,57,85,25,84,87,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
36,35,64,110,26,56,50,31,104,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
47,18,45,94,51,54,106,56,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
46,89,106,81,67,28,96,35,16,5,7,98,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
29,119,61,74,102,37,18,95,57,60,84,105,107,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
85,100,81,39,55,102,2,72,40,103,74,26,78,89,75,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
32,56,101,77,28,109,31,80,111,112,1,26,77,120,39,12,54,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
121,18,20,39,11,26,118,16,112,7,75,124,73,60,60,46,14,87,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
27,92,65,91,51,98,11,25,36,66,21,115,84,46,56,71,71,17,114,0,63,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
88,20,46,121,60,48,50,37,51,16,116,15,118,117,16,16,124,49,123,43,57,55,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
8,81,38,25,106,48,76,77,54,62,109,51,94,118,64,40,24,79,112,63,43,74,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
104,27,87,65,56,47,33,80,43,30,80,105,38,21,87,31,3,108,104,62,43,59,61,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
112,94,71,6,122,61,45,111,29,22,95,106,29,4,33,52,76,68,84,17,105,45,85,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
90,23,89,122,23,104,37,82,46,7,81,33,54,52,82,83,97,79,81,60,16,63,36,110,93,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
101,66,42,34,94,122,10,26,23,5,11,117,97,115,123,42,109,41,75,111,39,17,37,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
71,120,46,19,102,24,110,81,54,57,45,18,61,104,95,67,10,89,17,50,34,12,48,12,16,71,69,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
117,103,108,52,114,39,23,22,7,63,68,66,57,45,114,42,52,90,117,5,26,62,34,77,80,107,113,56,44,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
50,22,63,115,117,122,95,34,66,23,69,55,49,64,85,99,108,27,76,31,123,122,111,102,13,121,49,120,8,75,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
72,51,47,84,31,36,55,17,94,48,43,49,124,66,33,97,15,24,38,6,101,79,94,93,97,93,82,24,2,120,23,92,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
124,118,69,72,42,59,113,8,82,38,15,75,19,80,83,36,36,73,122,24,87,39,17,85,74,65,66,83,55,94,95,71,22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
14,62,124,78,97,22,63,6,7,65,74,112,96,104,43,68,74,9,52,27,96,24,115,67,8,42,36,67,37,24,67,99,45,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
57,112,29,99,113,41,23,4,65,118,65,47,112,100,100,35,39,77,14,71,77,4,75,54,117,77,12,89,54,79,76,104,51,89,96,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
3,110,82,111,82,68,19,58,67,118,69,64,43,66,8,84,124,27,120,55,12,101,75,114,113,111,55,8,5,104,121,118,20,47,85,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
38,54,114,75,107,23,94,90,40,15,113,28,108,1,49,5,28,45,11,69,24,64,65,100,108,56,57,32,89,124,70,56,20,61,43,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
9,112,70,92,21,25,115,59,60,3,48,118,58,90,13,29,30,98,26,40,54,23,112,89,111,34,7,92,43,85,103,124,105,109,22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
112,64,60,38,93,61,11,54,47,112,8,86,43,104,103,119,65,25,120,83,49,29,34,50,2,91,53,62,98,69,81,15,65,92,78,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
5,3,63,11,124,38,14,19,104,36,78,20,76,90,48,46,12,114,79,98,107,25,47,49,76,103,112,12,22,80,102,60,9,22,10,71,19,41,50,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
29,76,108,1,108,67,61,71,25,59,10,5,30,77,72,103,123,45,22,85,76,11,48,107,32,31,46,119,26,84,15,48,9,67,100,49,123,117,57,39,120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
14,11,84,112,105,100,18,24,18,75,42,98,120,52,34,94,99,34,21,69,43,43,1,101,116,105,34,123,116,64,124,68,41,15,77,89,84,6,79,14,22,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
33,10,62,46,78,90,20,62,65,81,29,107,117,120,6,98,72,73,5,33,121,54,23,24,58,87,62,29,48,10,44,124,13,10,121,87,24,88,68,98,69,96,120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
118,7,39,110,109,67,59,11,60,54,54,53,61,56,123,91,116,26,96,75,40,46,110,83,32,108,112,74,48,46,41,42,53,93,18,64,110,121,77,115,7,87,122,92,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
74,108,41,76,7,81,80,75,20,54,84,123,2,118,122,16,121,47,23,79,103,17,7,37,5,32,105,19,70,60,92,82,51,6,59,54,12,82,97,43,77,9,64,122,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
109,105,59,89,66,92,69,116,109,118,26,110,64,12,115,20,12,70,97,55,67,8,61,36,113,116,116,109,13,68,59,14,75,10,26,67,75,77,8,11,44,49,34,47,29,49,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
108,96,90,6,97,87,53,60,11,120,124,103,68,37,47,88,79,64,79,103,58,102,46,97,75,75,15,16,102,19,83,107,103,82,46,79,6,34,97,33,116,23,7,3,11,110,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
15,81,70,111,10,27,4,27,124,102,37,42,58,119,3,93,56,88,58,89,2,85,12,40,10,102,99,86,34,96,13,65,88,99,123,90,70,4,40,48,16,109,104,89,57,78,54,46,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
71,56,52,60,122,80,58,29,53,77,66,107,109,13,53,63,46,115,56,95,13,46,83,106,24,114,81,85,16,10,6,115,96,84,55,50,115,65,94,73,81,44,90,97,30,83,17,69,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
11,79,47,1,69,81,4,12,102,17,51,95,107,37,64,34,114,36,39,20,52,100,67,122,93,64,15,102,41,8,44,58,58,10,92,113,68,21,15,5,35,94,20,30,1,73,21,25,100,91,64,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
19,65,112,97,29,60,115,80,1,26,114,93,8,116,105,66,105,84,95,2,21,65,11,105,75,69,79,103,120,109,118,14,112,57,115,40,98,56,57,74,3,54,77,104,57,81,30,78,39,69,111,65,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
78,76,43,11,5,124,41,5,20,119,11,3,89,123,54,10,20,120,72,80,118,91,55,121,51,75,55,63,11,28,104,99,90,51,29,75,86,110,28,2,67,108,75,11,80,94,23,30,110,20,17,24,26,87,93,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
59,94,41,94,120,77,96,51,58,7,0,51,34,16,116,87,103,47,109,66,7,49,52,25,100,73,62,47,77,1,85,56,11,25,90,97,2,28,108,50,61,93,115,20,78,4,80,107,95,90,48,27,51,43,5,121,104,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
68,103,45,112,59,28,85,83,38,98,106,105,71,43,52,92,25,104,54,14,30,10,11,61,95,2,62,38,76,31,54,1,9,2,16,117,81,85,6,79,68,105,36,4,70,60,82,25,69,68,29,85,97,47,30,35,61,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
95,49,72,68,16,5,80,103,53,25,32,44,26,43,122,46,51,9,96,115,108,57,7,85,71,30,72,66,118,14,35,15,75,97,45,35,99,13,10,115,113,35,43,1,104,111,41,112,86,106,13,87,108,30,45,31,87,53,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
26,49,61,41,9,78,34,26,63,108,91,124,14,37,79,12,13,121,94,32,107,0,65,104,121,0,67,48,47,82,124,105,9,108,38,52,67,110,51,110,120,85,78,96,109,112,100,72,29,42,68,51,101,1,94,92,99,36,71,62,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
83,47,47,68,43,47,76,109,50,118,57,107,34,39,32,6,115,9,8,85,16,29,14,112,80,85,46,36,100,67,48,88,0,108,70,5,102,34,106,122,31,85,18,47,82,117,86,28,112,45,47,104,84,118,108,22,41,107,12,84,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
47,27,84,57,1,113,119,20,102,113,88,55,36,73,59,96,77,98,69,49,62,33,32,85,61,74,92,92,58,6,80,78,123,64,33,43,36,18,27,1,97,97,101,22,118,63,45,22,71,44,19,90,87,93,111,117,19,90,46,69,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
107,36,78,8,118,121,65,37,3,25,87,109,103,59,13,14,23,19,68,31,25,57,16,80,32,7,73,20,59,53,67,26,72,40,83,56,57,91,73,23,11,65,11,82,75,50,27,3,80,65,113,124,66,6,61,48,50,79,53,83,118,78,77,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
9,29,12,84,30,42,11,63,27,62,78,43,114,91,40,16,39,61,2,10,116,3,1,91,52,50,48,86,62,82,80,120,9,68,83,52,4,110,118,25,49,17,97,34,10,87,0,53,98,59,10,44,85,51,122,64,68,34,78,85,2,58,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
17,75,65,25,116,47,28,115,65,123,34,85,58,92,57,34,59,58,41,70,16,35,44,62,109,21,109,74,105,27,122,80,73,42,65,65,115,16,98,79,55,97,34,46,92,86,123,0,70,89,85,104,45,23,31,115,71,120,15,113,20,18,73,54,94,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
116,83,94,92,9,23,29,81,17,90,50,69,38,25,66,48,86,52,93,70,74,5,73,56,69,71,67,19,96,106,26,98,20,107,60,113,118,121,97,35,34,40,29,49,13,102,94,37,90,2,10,68,29,54,110,111,7,107,83,103,5,105,70,119,81,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
70,118,21,81,109,3,8,109,85,25,120,67,56,97,41,14,93,123,16,18,86,53,57,116,55,67,38,47,55,122,75,78,96,122,55,6,67,116,81,38,37,67,41,88,33,12,48,62,24,96,101,4,73,31,7,120,87,23,79,110,80,38,114,109,52,85,39,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
14,68,10,90,101,67,113,39,28,110,2,89,31,66,86,73,99,114,3,93,24,72,24,117,96,76,16,67,52,1,36,7,60,43,112,100,23,4,12,4,57,49,38,8,9,88,19,26,102,105,64,97,45,63,91,4,117,24,86,111,9,89,22,84,69,108,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
108,90,43,57,33,47,31,47,78,38,18,49,104,91,34,102,5,27,31,12,113,69,90,55,78,82,107,99,90,9,23,19,37,44,33,65,97,91,30,84,46,9,80,19,16,23,83,38,0,84,33,96,77,77,64,9,0,94,93,12,78,80,81,24,31,72,66,85,76,38,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
87,47,86,16,5,37,80,107,39,88,93,44,89,39,117,15,15,12,120,78,8,20,62,23,68,79,59,27,69,75,5,118,41,1,56,70,81,101,49,42,109,34,121,6,65,93,114,28,0,78,33,38,38,107,116,62,95,120,33,29,34,82,105,24,27,6,100,101,82,114,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
97,66,88,35,31,113,81,27,64,67,91,72,116,110,88,62,121,16,122,52,8,63,78,96,96,59,56,40,87,50,90,47,21,116,121,102,27,9,26,62,3,27,102,82,118,26,102,44,17,43,91,89,8,7,84,61,29,77,64,88,112,53,6,12,88,18,72,115,12,75,41,26,44,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
17,23,65,42,62,107,1,13,1,79,28,57,8,108,72,68,10,95,89,88,3,0,6,81,50,111,61,40,124,102,25,71,94,24,65,37,17,0,52,19,89,1,23,52,101,20,65,75,18,112,107,104,30,87,96,7,113,12,41,5,70,17,51,26,55,88,58,68,12,51,33,113,111,81,57,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
111,34,114,79,15,85,85,66,56,74,59,8,17,87,99,85,111,84,120,77,36,8,122,20,14,40,24,85,71,46,81,27,86,55,46,17,64,63,2,40,8,103,27,5,20,74,5,112,32,77,35,47,10,14,89,69,50,39,92,66,8,47,4,60,30,82,114,105,27,119,108,10,54,40,42,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
92,39,112,75,94,61,120,22,85,93,108,87,120,42,102,36,16,85,10,90,6,67,32,76,5,74,65,31,39,37,84,16,90,11,111,116,99,28,10,67,78,113,99,110,87,50,121,9,112,122,109,110,108,93,22,76,39,104,17,41,118,29,2,71,60,99,30,61,58,115,48,116,89,54,99,107,58,120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
22,9,65,83,9,87,91,113,28,0,52,85,91,99,18,39,98,61,50,107,19,23,17,66,17,122,31,71,100,68,33,62,23,67,29,90,9,95,63,37,62,34,7,33,121,65,85,44,20,53,56,48,27,41,79,7,29,118,0,105,102,57,27,73,25,101,105,75,35,85,21,7,8,11,109,93,40,107,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
27,15,40,85,62,94,32,89,96,36,58,0,121,53,66,3,84,70,34,54,123,41,31,81,68,98,118,57,123,25,12,19,49,4,54,123,83,86,53,117,69,18,91,49,68,109,85,81,109,107,21,44,20,91,91,67,64,5,75,52,123,13,0,121,106,31,16,14,116,112,40,13,97,122,62,118,8,102,78,5,26,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
19,74,31,112,60,12,53,28,116,26,107,119,122,8,116,83,37,121,20,109,10,111,32,87,73,52,108,70,57,0,101,13,68,3,104,119,122,77,77,4,39,50,56,117,20,59,107,37,26,110,6,108,52,19,68,119,95,43,7,82,13,28,3,10,112,39,39,34,47,102,64,115,21,42,51,24,57,57,22,104,80,122,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
11,2,108,1,83,102,77,97,34,59,105,41,117,118,19,74,79,53,3,22,63,120,8,53,56,31,5,111,3,63,96,114,110,62,1,34,10,21,50,26,74,78,42,82,31,123,23,11,53,30,60,30,100,119,103,16,98,59,94,14,98,78,99,120,114,9,19,29,18,38,37,116,94,94,102,120,89,90,116,50,67,121,60,55,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
24,29,122,104,109,118,79,46,102,33,121,25,91,60,21,55,4,0,18,30,82,71,75,67,3,118,14,68,22,21,2,122,84,19,122,27,4,52,119,94,10,0,115,59,46,36,26,96,121,29,83,29,42,107,93,96,93,44,45,52,22,54,76,116,118,64,89,120,97,94,26,115,4,82,27,79,31,52,112,119,106,54,50,9,41,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
30,24,99,111,117,82,42,90,61,83,97,82,98,108,100,54,66,121,101,82,100,50,51,119,97,10,37,96,73,7,60,26,104,58,45,29,49,41,87,93,85,4,40,81,122,9,107,84,107,7,16,75,74,71,35,41,116,11,33,117,39,33,87,36,56,73,1,24,84,23,123,79,87,123,57,32,96,50,43,90,11,27,44,72,39,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
88,83,11,121,31,39,19,18,4,63,8,83,32,36,14,22,116,12,61,79,2,61,99,0,25,110,99,71,94,27,27,2,70,45,43,0,86,61,39,43,41,51,36,105,112,43,98,119,94,5,8,30,49,121,18,26,88,86,80,16,9,49,103,13,92,101,55,79,42,102,80,25,7,50,119,49,13,87,27,80,110,18,16,47,59,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
42,45,42,45,27,121,10,120,120,102,69,79,103,31,71,32,109,44,48,123,52,101,48,55,36,94,6,39,5,93,20,78,28,44,44,105,69,53,79,119,69,79,62,95,74,120,82,23,107,72,26,59,12,89,123,38,56,114,124,102,71,108,118,21,40,40,110,62,3,48,35,93,56,68,51,113,95,115,61,19,80,123,47,49,71,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
23,1,54,111,51,44,60,62,45,43,81,112,91,21,93,75,120,20,78,94,28,96,36,39,96,109,20,89,90,67,88,25,13,50,74,107,10,0,113,2,8,106,83,71,30,85,2,84,79,103,95,87,2,114,105,119,79,81,109,30,31,31,7,24,116,5,50,39,15,105,40,3,51,106,0,61,51,91,78,110,3,30,97,82,71,91,83,39,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
9,62,119,66,3,75,109,59,107,9,40,9,109,112,120,94,10,85,43,30,17,93,2,58,57,53,115,27,76,1,116,14,75,49,48,58,117,69,85,97,58,76,77,96,116,73,37,73,10,103,1,114,46,18,91,23,36,36,61,100,107,56,29,95,75,53,80,111,34,7,71,96,87,32,50,76,28,123,10,76,113,15,78,13,12,101,106,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
47,57,122,120,31,39,90,63,9,103,88,111,48,45,99,93,7,104,70,40,76,30,70,30,59,7,19,26,86,82,92,5,47,65,61,28,94,54,116,24,120,2,75,15,40,61,72,120,83,48,69,92,83,29,107,104,16,102,84,9,53,71,124,97,45,25,100,119,114,52,4,10,28,46,63,83,0,112,90,62,25,35,46,106,5,39,117,12,34,87,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
6,52,34,53,68,11,31,50,118,15,46,10,72,42,16,10,63,52,38,116,10,96,39,30,119,53,3,112,124,104,76,33,75,17,1,31,77,24,96,72,21,25,58,55,47,56,49,32,103,13,72,92,81,119,13,39,8,6,35,123,58,43,81,95,20,97,16,73,22,44,114,64,85,83,66,97,48,107,67,75,68,100,119,63,12,3,31,20,119,101,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
7,37,83,93,6,83,16,34,44,71,50,11,82,108,43,32,40,41,115,1,63,74,23,120,113,71,53,61,7,101,79,83,92,103,64,44,78,34,28,28,122,12,53,54,89,112,107,19,28,27,78,61,47,30,64,60,48,34,4,65,113,89,91,51,47,33,34,73,48,69,57,26,114,12,23,88,15,57,105,89,97,88,25,114,23,3,81,102,112,39,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
82,105,19,23,110,78,112,57,103,2,75,123,80,89,48,43,88,108,99,58,21,35,70,6,64,20,94,67,49,92,31,79,6,115,53,40,26,117,40,26,104,75,6,105,123,44,22,47,48,21,65,88,4,11,56,109,104,8,110,102,113,96,18,58,5,12,50,79,74,124,11,8,9,71,3,62,68,90,6,40,48,47,22,78,50,79,26,24,104,93,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
10,72,71,98,2,25,36,103,70,36,32,105,23,15,44,105,28,26,60,26,4,55,79,30,110,18,12,92,122,99,101,71,93,93,27,0,41,87,47,114,47,86,50,90,121,90,75,37,120,100,62,70,77,53,30,105,56,6,7,122,73,16,78,16,91,70,10,43,61,97,103,111,25,4,42,0,64,7,5,32,108,80,59,68,72,82,50,53,33,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
105,123,69,21,109,89,7,118,68,73,11,108,48,13,69,101,21,116,115,108,59,114,82,51,43,20,7,105,77,34,92,93,24,124,72,0,71,84,19,42,47,95,23,77,99,1,73,76,6,26,20,98,60,78,95,68,25,98,64,9,70,19,9,74,11,23,107,49,0,1,114,117,39,0,47,52,23,61,69,10,59,48,80,17,111,47,3,16,81,72,9,62,4,28,122,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
51,71,88,39,41,54,106,10,120,74,81,54,22,26,50,28,123,7,3,115,74,26,99,52,10,34,26,97,65,19,61,21,3,73,23,89,6,70,29,82,55,41,59,103,77,23,51,54,50,113,53,102,121,11,108,96,99,44,21,65,92,73,29,49,106,61,116,21,87,108,33,9,89,124,99,16,113,4,80,72,32,82,108,79,85,77,109,121,65,108,21,115,124,112,75,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
45,20,1,109,30,28,35,77,47,71,19,11,103,120,51,119,105,113,16,112,23,108,15,85,55,51,43,75,46,64,27,52,29,82,90,96,21,99,115,121,10,9,41,117,70,107,113,106,59,22,29,18,71,116,68,15,61,77,104,9,1,117,13,97,37,80,73,29,82,78,62,30,78,115,57,71,114,57,120,52,37,77,6,90,85,4,47,85,108,74,58,78,95,110,28,117,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
88,102,23,20,15,92,17,77,20,35,2,59,51,48,32,53,34,23,31,104,43,104,80,78,27,50,98,31,40,93,84,27,29,30,68,40,10,84,82,67,103,66,97,17,39,103,61,59,75,27,28,96,55,17,20,100,77,18,58,104,24,74,48,50,110,111,59,74,32,43,52,105,117,35,108,120,109,26,4,79,120,58,117,13,66,39,45,57,29,116,100,92,115,105,71,33,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
121,85,71,37,12,62,111,44,77,123,78,18,31,119,117,69,9,60,42,71,119,87,6,72,56,101,68,49,76,112,106,82,97,60,36,116,12,118,104,44,61,123,114,77,87,108,58,68,85,71,55,91,30,113,20,10,9,26,71,25,116,88,25,91,95,92,26,64,56,63,32,79,90,2,100,104,38,111,80,118,63,105,60,4,91,76,123,56,123,1,88,77,123,58,36,90,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
13,62,110,1,42,20,72,120,93,34,124,20,59,34,1,31,97,110,58,22,112,75,114,111,99,71,17,50,86,35,61,32,89,27,19,22,106,63,103,52,79,59,123,47,49,47,52,8,105,56,62,31,118,123,4,6,42,87,65,75,23,5,82,101,59,55,35,70,97,112,88,102,123,105,8,47,32,104,74,52,50,65,118,45,73,89,17,114,90,106,122,81,37,84,6,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
49,86,65,109,54,103,123,18,102,100,4,44,93,59,83,36,45,100,45,115,21,64,112,98,20,28,49,30,20,50,21,19,83,17,54,118,33,76,119,102,47,111,3,113,68,15,70,76,113,33,84,61,24,3,33,104,81,104,120,24,68,77,5,53,46,54,54,97,16,40,79,120,77,52,120,20,52,89,98,17,70,40,123,20,9,88,113,50,45,10,103,51,43,62,23,58,105,76,54,24,38,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
124,115,60,67,124,123,78,93,72,101,78,95,112,67,103,89,114,35,74,76,8,77,7,60,21,116,119,115,78,9,96,42,112,36,67,1,113,115,84,44,54,0,94,73,51,107,13,2,119,71,42,1,24,64,25,21,61,92,57,97,51,88,6,20,67,74,70,40,108,112,109,114,42,78,63,18,23,66,98,78,11,84,4,115,57,88,40,72,7,84,51,93,97,92,20,21,65,93,19,122,110,50,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
49,106,124,55,62,110,96,69,43,115,44,72,67,29,3,53,112,51,36,23,47,76,82,78,28,46,78,62,67,110,73,88,94,96,123,31,28,39,67,96,102,8,75,51,106,112,44,62,43,109,89,11,32,64,76,113,59,9,1,52,73,14,46,117,34,67,40,18,19,37,90,42,67,81,0,65,14,9,90,114,109,59,115,114,19,104,114,114,0,115,59,83,70,20,122,45,116,10,2,71,99,77,91,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
45,88,33,39,87,35,69,75,42,26,15,49,75,115,5,27,79,30,108,46,51,124,108,7,45,25,31,111,16,99,49,27,33,119,70,62,19,37,36,4,49,110,67,53,53,108,62,71,73,106,56,69,40,12,98,90,66,19,91,53,115,42,31,33,21,116,87,98,101,91,87,17,108,23,95,12,62,0,2,42,50,34,7,45,70,32,39,79,22,56,69,81,62,86,91,6,8,97,3,111,36,101,72,50,55,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
115,108,17,76,24,85,99,24,1,124,31,68,17,37,120,33,30,104,47,99,106,67,46,108,62,47,42,42,97,122,75,51,111,5,61,3,8,71,119,89,65,87,33,64,3,16,12,34,4,30,51,75,74,18,61,81,78,49,66,97,62,11,88,12,72,35,7,109,61,35,99,80,45,45,82,15,119,0,29,117,68,54,90,89,91,115,75,79,66,4,61,44,23,90,98,65,37,111,61,123,14,110,79,22,96,33,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
22,10,91,104,43,17,31,63,22,101,10,26,89,13,18,9,114,44,119,114,11,34,35,6,11,23,40,1,55,75,50,71,16,89,29,121,7,85,115,84,0,37,101,59,44,65,60,122,67,117,113,112,7,61,108,57,45,76,73,61,0,84,12,56,112,124,20,66,87,119,86,39,118,97,71,9,116,63,51,83,40,46,42,70,11,58,79,53,40,56,54,91,51,20,123,33,88,97,94,28,30,21,3,50,82,112,75,73,0,0,0,0,0,0,0,0,0,0,0,0,
114,80,79,114,89,51,1,123,106,107,74,1,88,2,63,7,69,49,65,111,101,8,53,80,71,35,36,51,46,59,105,106,28,103,82,85,98,69,104,8,103,38,51,23,70,31,38,86,112,49,30,66,117,53,41,38,100,26,33,27,111,92,1,60,93,49,56,41,4,124,32,110,14,116,29,102,107,32,114,25,123,92,88,10,25,79,56,40,120,13,42,103,70,122,20,8,83,72,4,68,4,94,43,67,67,7,40,102,117,0,0,0,0,0,0,0,0,0,0,0,
37,49,100,97,84,75,63,57,24,64,64,38,6,22,51,108,114,121,108,67,124,121,114,39,74,50,124,45,24,115,80,9,66,89,51,102,49,53,27,62,94,3,64,113,102,59,6,8,40,2,15,119,72,48,2,68,111,64,69,86,60,35,123,36,45,65,116,35,115,123,35,33,70,52,38,71,30,21,79,40,110,108,44,39,14,36,64,49,116,92,49,101,92,14,97,65,71,92,62,11,16,65,119,72,39,20,41,96,60,59,0,0,0,0,0,0,0,0,0,0,
98,112,96,40,7,122,50,49,122,0,16,21,63,62,98,48,2,42,12,79,67,91,53,95,64,66,105,61,15,96,110,60,109,20,30,99,46,119,41,3,59,35,106,13,57,102,124,83,37,21,35,23,5,95,52,10,118,59,91,102,81,98,77,13,35,115,30,109,63,80,114,40,74,113,46,31,14,110,75,105,71,68,57,14,13,18,80,95,19,53,56,2,92,82,20,81,30,0,60,55,69,100,92,23,118,15,38,49,56,48,33,0,0,0,0,0,0,0,0,0,
122,8,48,58,4,30,22,26,22,99,14,38,56,50,8,81,81,68,53,84,95,7,120,72,33,61,24,110,0,25,44,75,118,117,16,13,72,94,40,94,89,39,80,22,24,64,35,124,36,72,52,3,59,0,4,13,122,50,81,120,86,121,114,91,83,97,67,16,7,30,107,58,16,3,92,17,68,26,6,5,67,12,51,16,56,103,50,38,5,3,115,26,98,98,58,123,71,115,71,121,34,116,100,28,76,0,56,26,29,113,50,51,0,0,0,0,0,0,0,0,
23,33,30,63,92,45,97,3,93,110,81,53,70,121,64,62,46,18,71,49,83,116,35,55,101,93,13,102,17,45,107,8,16,73,4,84,6,72,85,76,107,77,101,0,52,96,95,36,64,31,1,55,62,52,3,34,30,4,25,68,37,27,27,114,31,47,5,53,95,111,84,60,87,105,116,70,92,107,28,54,39,50,30,72,40,59,112,15,85,63,28,104,122,13,37,84,109,32,5,44,56,40,39,42,67,9,105,78,27,45,70,118,0,0,0,0,0,0,0,0,
1,22,14,29,111,27,76,68,3,24,77,85,99,37,3,10,106,25,11,106,69,74,54,23,116,43,108,99,79,70,101,22,61,90,35,2,97,92,72,86,70,117,45,65,17,89,64,90,60,54,5,84,122,47,97,108,97,120,35,5,51,66,2,115,26,17,45,99,79,34,84,12,30,105,66,103,67,5,101,13,51,1,100,15,48,122,40,17,15,4,78,111,81,42,102,20,24,44,21,66,38,112,69,87,41,105,53,45,67,34,26,118,37,0,0,0,0,0,0,0,
0,94,79,44,109,1,69,70,120,29,65,52,19,7,112,6,102,6,115,62,47,10,56,93,124,23,55,31,122,18,74,74,24,85,23,20,67,3,123,117,79,88,39,64,11,94,113,102,90,68,52,81,52,111,50,19,36,14,77,13,15,97,66,31,15,85,115,117,43,107,103,92,49,20,22,94,119,111,74,27,111,116,82,63,44,21,85,50,120,66,91,6,100,30,121,94,72,97,102,113,120,13,64,33,83,62,9,34,90,101,95,49,52,106,0,0,0,0,0,0,
0,120,13,27,99,124,15,90,13,79,68,115,106,57,15,33,75,14,40,83,114,52,27,14,61,41,42,11,19,17,14,63,3,51,14,120,81,88,112,86,35,30,30,90,40,9,116,100,59,1,53,41,22,88,67,2,5,19,36,99,74,50,15,75,69,11,2,25,85,72,25,58,60,55,66,112,21,101,77,81,11,9,49,75,25,65,102,99,33,117,96,40,64,110,5,54,28,78,4,3,70,82,97,26,117,62,102,13,54,76,9,117,85,27,70,0,0,0,0,0,
0,81,105,38,35,12,56,85,102,59,113,57,108,39,91,36,107,22,9,91,101,89,90,97,47,10,94,7,9,26,54,55,22,50,101,92,54,41,109,97,80,41,77,20,118,94,105,57,107,63,119,55,14,50,47,27,53,56,15,108,77,97,91,20,32,21,99,35,36,109,47,67,59,84,91,60,82,124,4,38,52,24,57,21,86,62,54,8,52,49,88,97,62,64,78,31,58,64,60,109,27,108,4,26,26,119,87,121,120,35,20,44,46,33,93,124,0,0,0,0,
0,120,13,107,45,36,12,21,13,81,11,124,34,8,55,111,65,59,119,114,75,119,83,123,75,5,105,13,99,118,100,54,89,22,122,42,62,33,18,18,75,31,42,87,71,1,53,87,46,55,80,49,19,50,41,86,92,79,114,90,74,105,77,110,50,3,44,97,118,32,113,96,37,90,56,71,101,2,83,36,52,89,86,79,48,13,15,58,28,95,6,122,58,102,78,75,105,24,70,111,11,95,77,66,93,22,5,18,18,114,11,34,55,48,85,75,76,0,0,0,
0,28,74,75,116,102,16,32,0,55,5,27,82,43,47,97,40,84,65,60,92,31,10,56,100,63,123,71,119,44,59,83,23,108,67,19,39,23,93,12,31,32,110,37,107,61,11,93,94,64,21,109,60,53,69,52,98,85,71,76,86,53,93,87,30,40,7,120,10,49,75,1,112,89,53,77,47,107,52,21,121,101,92,61,43,110,49,102,17,74,73,32,75,107,94,47,21,10,55,62,76,99,80,92,84,46,51,19,76,119,47,119,67,48,1,31,114,0,0,0,
0,112,44,12,107,122,80,109,120,6,41,74,88,108,3,9,96,70,73,102,58,55,31,73,91,108,49,120,120,24,43,124,60,27,61,24,82,80,80,91,5,42,106,81,33,83,23,93,89,1,36,53,123,81,118,53,55,90,101,46,122,88,72,115,19,71,124,21,109,77,42,60,49,99,96,56,36,91,11,77,96,12,84,17,49,19,90,13,82,48,53,78,95,39,2,70,84,4,4,101,91,51,16,84,56,98,105,123,67,71,119,92,58,36,66,16,56,103,24,31,
0,83,99,120,63,79,35,97,19,96,37,85,44,121,101,46,33,12,72,54,7,103,32,1,43,110,22,9,12,96,10,15,101,58,79,7,29,111,31,28,107,57,87,68,53,90,95,18,115,13,39,32,49,19,21,6,36,113,4,64,111,101,1,88,17,63,87,18,105,89,77,103,4,57,80,24,44,47,55,48,119,4,120,121,18,0,109,58,47,110,75,42,30,14,96,16,119,104,1,81,71,89,80,41,68,110,66,99,114,12,77,0,30,57,6,92,34,37,11,123,
0,4,83,99,20,79,18,99,67,43,87,92,14,18,81,101,84,42,92,14,29,46,110,29,18,116,70,49,39,43,84,32,71,55,14,65,75,61,8,36,74,95,89,46,11,75,87,117,7,79,79,3,105,12,44,88,45,53,67,99,114,50,45,90,120,65,26,29,47,84,84,38,94,14,13,49,92,116,26,90,66,70,118,63,32,3,83,29,38,58,20,35,75,12,89,112,77,4,60,23,10,110,51,17,95,106,44,102,28,81,5,37,67,82,118,51,60,60,71,72,
0,81,105,102,47,107,50,124,121,55,71,111,116,15,34,41,0,56,99,6,94,32,38,87,26,122,118,117,43,40,75,71,113,64,102,18,28,11,104,92,72,100,67,68,39,80,8,41,83,84,45,41,17,94,76,101,49,13,105,63,103,16,123,67,93,114,37,19,83,120,107,74,15,77,81,22,16,55,36,71,90,106,34,43,75,114,55,75,88,65,97,101,63,119,109,26,107,8,109,94,85,3,121,17,89,7,95,92,56,48,73,111,59,115,69,112,26,63,42,10,
0,11,5,97,45,118,27,121,98,113,102,40,66,108,104,120,66,62,44,45,24,101,78,87,55,44,73,24,53,60,19,30,61,22,107,73,118,116,84,110,71,41,7,37,73,19,32,44,110,77,38,9,87,9,88,58,76,0,11,29,20,5,76,59,82,21,37,92,115,102,45,52,17,91,85,91,74,80,10,32,110,52,28,51,80,88,112,50,97,91,120,59,73,57,70,44,44,18,58,90,78,124,36,34,20,31,83,38,110,116,96,2,74,112,80,22,20,42,35,19,
0,72,56,51,38,122,72,107,113,36,44,121,79,119,107,60,121,82,7,55,41,35,65,15,65,44,106,111,2,54,4,77,109,106,112,50,67,12,1,90,14,97,116,7,22,55,6,23,84,61,8,19,57,26,3,73,50,13,93,69,58,89,10,96,60,115,68,50,27,85,50,21,32,115,81,18,49,15,26,10,88,63,58,44,77,22,26,83,66,90,108,104,78,28,14,28,122,53,30,120,108,65,8,64,30,5,3,64,94,67,85,37,15,54,31,124,76,34,28,119,
0,39,54,94,73,93,21,47,12,55,118,63,55,17,12,8,23,123,2,0,50,26,20,66,47,60,15,2,46,4,110,41,20,117,29,14,43,21,90,7,68,80,83,4,49,9,70,42,9,79,123,23,8,71,14,69,107,48,10,33,91,85,97,62,122,9,1,66,15,108,78,113,116,66,110,63,117,101,7,81,40,121,19,93,99,5,41,56,66,18,61,12,21,70,92,66,122,75,42,70,33,52,11,94,1,93,11,76,31,113,87,42,123,92,97,74,113,10,41,65,
0,76,1,69,104,121,82,111,3,36,90,105,107,19,51,80,83,123,123,123,68,81,101,38,119,87,78,1,20,22,9,61,68,86,69,12,47,12,113,48,63,12,8,31,37,63,23,10,78,51,26,55,85,48,82,100,57,121,70,101,29,35,97,66,46,32,42,30,1,41,89,63,29,40,20,108,68,47,11,101,18,90,53,122,8,9,26,52,49,56,66,79,63,103,102,68,6,60,86,62,121,101,6,37,50,59,7,1,47,28,34,65,27,18,109,98,27,27,70,100,
0,12,52,29,16,47,5,96,14,10,20,44,60,98,96,101,67,113,20,103,17,0,111,114,99,65,122,84,79,108,45,80,17,38,58,110,119,71,50,54,112,71,71,56,9,61,16,25,72,92,74,122,70,72,112,8,0,59,32,6,71,124,62,110,34,20,8,74,75,25,26,85,102,30,92,89,75,35,42,21,93,60,48,58,23,28,31,90,94,25,53,0,47,50,18,78,54,23,7,54,15,30,97,30,103,122,63,34,55,109,112,60,124,118,30,102,120,14,6,36,
0,32,106,32,85,45,1,46,41,80,102,81,96,85,11,115,84,18,58,3,39,25,116,23,57,37,116,93,48,10,74,56,54,59,34,31,29,0,90,95,103,74,102,98,29,18,61,33,80,121,109,31,13,66,28,15,70,96,102,49,46,51,10,49,46,72,106,91,58,66,44,45,54,37,72,53,48,58,11,121,34,117,60,116,6,27,106,123,17,44,124,52,122,70,45,44,34,66,111,91,109,63,91,114,102,62,50,119,39,26,51,5,4,60,44,61,25,118,60,63,
0,107,60,28,111,8,110,35,57,55,73,95,58,108,118,88,89,56,4,79,103,13,31,49,4,35,89,3,39,64,14,36,111,33,61,53,0,25,20,11,82,38,8,111,100,31,59,101,60,104,36,59,51,34,103,98,87,91,34,67,28,102,76,107,61,96,112,44,65,4,24,116,36,39,122,40,15,54,4,60,80,45,111,30,119,99,12,96,55,26,86,25,63,4,42,10,106,95,49,62,93,85,16,110,54,82,109,19,23,0,121,13,109,110,74,29,53,96,119,109,
0,59,108,47,73,11,56,56,124,34,61,103,115,10,62,116,58,51,117,44,32,97,25,65,87,96,112,43,97,50,97,105,26,32,59,4,48,107,74,89,99,64,70,43,27,44,122,83,50,97,98,81,69,60,66,12,111,51,124,107,94,109,16,111,82,50,93,90,54,109,99,59,76,84,75,65,124,15,30,110,106,71,99,80,36,111,88,36,87,59,22,71,124,5,100,21,65,6,110,74,71,27,107,54,7,62,55,82,121,123,67,18,20,50,77,87,99,15,10,9,
0,42,69,23,31,86,116,89,43,45,109,53,65,100,90,84,88,46,39,76,118,60,25,51,22,80,4,50,57,50,66,6,24,53,31,95,9,121,37,43,67,67,53,59,111,91,90,123,11,3,102,51,89,21,5,22,23,64,79,63,90,85,106,124,121,3,16,5,91,31,124,52,117,2,15,23,107,28,77,67,56,98,6,40,30,110,117,37,74,76,15,59,96,113,122,12,27,116,67,52,106,122,75,104,113,65,71,10,81,100,96,89,33,60,124,27,124,108,77,112,
0,60,9,88,35,115,26,53,7,50,48,42,97,26,8,85,81,53,54,82,52,93,22,118,43,82,98,10,1,68,48,108,116,93,72,118,29,41,69,46,8,13,95,5,53,82,87,0,5,92,61,108,82,82,76,40,96,44,50,104,21,59,100,51,55,26,63,55,18,8,8,55,25,103,117,8,74,81,106,105,63,34,82,50,76,41,37,87,66,60,115,36,68,47,102,1,78,72,64,63,117,70,42,84,122,44,89,37,103,29,14,61,20,74,82,23,73,15,97,85,
0,56,97,74,87,19,70,65,51,4,62,9,34,101,9,90,84,68,41,111,23,83,104,8,85,46,65,70,110,78,94,29,66,53,47,104,73,120,123,82,25,15,88,73,26,52,68,35,118,64,99,63,100,42,101,17,80,83,104,42,34,108,78,7,74,3,51,113,39,30,13,69,61,106,50,60,49,37,6,79,45,116,24,111,41,90,4,89,92,0,99,84,88,49,117,22,70,53,79,16,83,65,78,91,56,91,105,59,53,61,55,19,52,80,21,19,90,108,48,124,
0,75,84,66,75,42,87,23,65,111,47,112,7,66,26,95,30,82,116,57,81,24,84,4,95,20,87,104,76,20,77,70,17,67,65,113,14,42,7,21,57,45,81,73,109,16,118,40,95,33,35,73,70,78,69,48,41,75,68,14,45,74,88,105,5,104,25,115,66,22,109,74,114,113,120,17,95,65,48,42,19,58,67,79,11,114,87,55,95,21,35,99,28,122,24,114,98,46,70,88,38,111,53,6,14,66,7,105,122,26,42,10,119,110,120,45,37,66,103,108,
0,61,51,33,83,80,46,53,21,56,3,39,123,89,102,75,111,21,94,91,67,21,20,38,119,3,115,109,29,44,24,101,112,36,51,89,114,96,36,19,103,120,48,34,67,49,52,78,122,68,92,122,92,34,119,56,63,73,84,106,47,59,21,108,49,4,49,97,59,117,41,4,18,25,120,116,2,40,102,35,54,63,10,45,3,44,41,64,98,61,124,43,56,51,1,13,37,35,108,6,81,72,116,25,107,47,63,96,9,24,50,74,107,23,24,82,77,43,74,46,
0,44,33,114,57,51,46,16,64,107,101,100,84,108,61,45,92,97,67,111,84,82,10,23,15,30,95,47,26,110,0,113,60,67,87,95,62,54,16,124,60,72,52,88,88,78,65,10,67,54,10,31,109,19,19,73,66,44,95,90,76,16,93,118,94,12,36,84,73,92,53,83,95,116,51,0,22,65,67,52,4,99,26,29,94,85,108,109,28,51,55,100,82,38,66,58,16,64,6,100,35,93,121,104,19,12,78,99,80,124,122,6,93,62,64,109,66,52,17,113,
0,29,116,79,24,50,51,103,37,81,123,85,122,20,109,109,87,49,100,98,110,2,74,82,122,30,28,63,5,20,14,24,113,49,19,5,7,40,124,2,51,12,82,116,89,52,71,22,86,92,57,73,114,120,4,107,70,17,111,17,82,84,98,28,68,61,75,41,31,10,99,73,4,123,48,46,27,49,109,123,84,81,52,77,60,11,70,56,30,101,120,108,71,19,75,111,87,100,4,47,118,56,72,93,119,27,59,22,15,62,49,57,35,64,120,41,35,39,55,110]);

G<x,y>:=MatrixGroup<120,F|x,y>;
print "Group G is J1 < GL(120,GF(125))";