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35,6,-13,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,12,16,20,20,20,20,20,20,20,20,20,20,20,
26,101,103,113,107,112,102,97,102,96,99,95,95,102,98,96,100,105,98,103,100,104,103,102,107,107,105,107,101,103,104,100,101,98,100,100,98,100,98,100,98,97,99,98,99,99,97,98,100,100,99,99,98,99,99,100,97,99,98,99,99,98,99,98,99,99,97,99,100,99,97,97,96,99,98,93,85,96,91,87,90,86,88,84,88,83,86,85,84,84,86,84,85,85,86,86,84,86,85,87,87,89,90,90,88,90,95,94,100,101,108,112,116,118,119,119,120,120,120,117,120,120,120,120,
135,134,118,115,99,108,97,99,99,95,96,93,93,96,94,89,88,95,98,90,94,102,101,104,94,98,96,102,103,105,105,103,103,102,101,100,99,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,99,100,100,100,98,100,97,96,99,94,95,93,87,91,88,88,85,87,82,85,83,85,81,82,80,79,79,83,81,80,82,82,84,82,85,84,84,83,87,85,90,88,86,92,90,95,95,105,108,116,118,117,118,118,118,120,120,120,120,120,120,
135,108,101,103,94,96,90,96,93,91,89,83,85,84,83,82,79,82,77,79,75,75,76,80,77,75,77,71,71,73,72,67,68,64,62,59,61,65,66,65,65,66,68,68,69,63,70,66,66,66,71,66,69,64,65,68,62,69,67,63,63,68,69,70,67,67,70,65,68,66,69,64,65,67,68,64,71,70,68,72,72,69,68,67,71,71,73,71,71,71,73,72,71,75,74,76,73,74,71,79,77,81,78,82,77,75,83,78,86,83,92,95,107,107,103,106,104,108,111,114,109,120,114,120,
106,88,92,94,78,87,80,83,76,75,72,74,70,71,64,62,62,62,61,61,61,62,60,59,63,58,60,55,54,55,50,51,48,50,54,52,46,52,54,52,47,48,52,53,49,48,50,50,49,50,48,47,47,45,48,50,51,45,45,50,48,51,49,50,50,51,52,53,58,52,52,58,53,58,53,55,52,56,57,53,57,58,57,56,57,54,57,56,55,57,59,61,58,59,58,61,61,61,59,69,62,70,62,76,67,61,70,62,73,68,75,78,86,93,87,93,90,91,92,96,92,100,104,105,
59,63,61,59,53,62,56,56,53,54,49,48,43,41,43,39,38,37,34,33,37,33,33,29,31,29,27,26,25,26,23,24,22,21,22,19,20,20,19,16,20,21,21,22,21,18,25,21,20,19,17,20,22,22,23,21,22,23,20,24,23,20,20,20,20,24,27,20,22,21,24,21,21,24,20,25,19,23,26,25,26,26,29,29,30,26,28,28,29,29,31,30,30,32,29,33,30,33,29,38,33,39,33,46,37,30,38,41,42,37,46,47,51,58,55,61,59,61,61,62,60,65,66,66,
31,41,51,56,46,55,44,56,47,44,39,40,35,28,24,17,25,19,11,7,19,14,9,4,7,3,3,-1,-1,2,-2,-2,-4,-1,-7,-8,-3,4,5,-2,-1,-1,3,0,3,-1,2,2,0,0,-4,-5,1,-2,-1,4,4,4,2,7,-5,4,-4,3,-1,3,6,6,12,2,12,12,12,23,7,15,15,21,23,19,22,25,25,23,28,24,25,25,26,26,29,27,25,28,25,34,27,31,21,39,32,34,23,43,34,22,26,35,33,26,35,29,31,45,39,45,44,48,48,48,47,52,38,30,
-24,11,18,21,18,21,14,27,19,27,16,14,5,-5,5,-4,-7,-13,-17,-25,-12,-15,-19,-22,-20,-27,-28,-35,-33,-28,-29,-30,-36,-27,-30,-32,-31,-32,-35,-36,-37,-38,-32,-35,-38,-39,-30,-35,-34,-36,-37,-31,-29,-33,-37,-33,-33,-30,-32,-34,-29,-24,-33,-27,-33,-24,-18,-31,-21,-30,-23,-21,-25,-15,-28,-17,-28,-17,-4,-19,-14,-17,-11,-12,-7,-10,-11,-10,-10,-11,-7,-10,-12,-11,-15,-4,-8,-7,-15,1,-7,-4,-13,9,-6,-18,-16,2,-2,-8,6,-2,1,5,-1,12,10,5,3,3,19,16,17,8,
-9,15,24,29,28,35,29,37,29,37,30,27,19,5,10,2,7,-2,-15,-14,-13,-19,-19,-23,-24,-21,-27,-27,-30,-23,-32,-37,-26,-28,-26,-31,-27,-16,-31,-28,-27,-28,-25,-30,-26,-26,-23,-27,-23,-25,-20,-24,-25,-30,-26,-30,-25,-21,-20,-21,-22,-22,-26,-16,-34,-23,-11,-20,-16,-30,-14,-11,-20,-13,-26,-12,-24,-15,-3,-13,-10,-11,-9,-11,-6,-10,-7,-6,-7,-9,-6,-6,-9,-7,-11,-1,-6,-2,-10,2,-7,0,-10,6,-6,-17,-9,9,-1,-4,11,5,9,11,8,22,22,16,14,15,28,20,8,4,
16,40,59,56,57,55,48,52,42,44,35,30,25,16,16,9,10,8,3,0,0,2,-2,-3,-2,-2,-6,-7,-4,-3,-3,-3,-2,1,-2,4,1,0,1,0,1,-2,1,0,-5,-1,1,1,2,3,4,0,2,-1,2,-1,1,5,4,5,-1,5,0,6,-2,3,10,-1,7,1,12,-3,8,-6,2,13,2,16,-1,10,4,11,9,13,2,8,11,15,13,8,7,4,3,12,9,12,8,16,11,16,10,7,8,17,10,1,16,7,8,2,6,6,11,11,10,15,11,15,15,14,20,18,15,13,
4,28,66,78,82,84,78,80,69,68,60,57,50,37,38,31,31,26,21,18,23,21,16,17,14,14,14,14,14,18,15,15,19,16,16,16,17,17,18,15,16,17,14,18,17,19,17,21,22,22,22,18,23,24,24,15,22,28,24,25,23,25,20,28,18,22,31,21,32,24,33,23,33,16,26,39,29,42,27,37,31,40,34,40,32,39,39,40,41,36,36,34,33,40,36,36,32,40,34,40,33,32,33,43,34,26,38,32,34,28,32,35,38,38,36,41,42,45,44,42,48,40,33,20,
7,27,45,55,63,58,55,53,47,47,41,37,30,22,19,13,10,5,6,2,1,0,-1,-1,-2,-3,-4,-5,-6,-3,-3,-4,-5,-2,-3,-3,-4,-4,-4,-2,-3,-3,0,1,0,-3,-4,-4,-1,-2,2,-3,-4,-3,1,-2,0,4,0,-1,-2,0,-1,4,-4,0,6,1,7,-2,6,-2,4,-5,4,13,1,9,4,11,6,10,7,10,8,9,7,8,8,9,9,7,6,7,6,5,2,6,2,5,0,1,0,4,-1,-5,0,-4,-2,-4,-3,-2,2,1,1,4,3,8,7,5,8,1,-5,-14,
30,21,54,70,80,74,72,68,61,60,51,51,43,34,30,25,22,18,15,13,15,9,8,7,6,5,5,2,2,4,7,4,4,5,4,3,3,2,5,3,4,2,5,6,4,3,1,4,4,4,6,3,3,5,6,4,7,10,7,4,6,9,8,14,4,8,16,10,14,7,15,6,13,3,11,18,9,17,10,15,11,16,10,14,10,11,9,10,10,9,12,11,9,8,8,7,5,8,4,7,4,6,5,8,3,-1,5,1,6,5,6,7,7,8,8,11,11,16,16,14,17,11,6,-9,
59,33,67,71,80,79,75,71,64,62,54,55,46,37,33,26,23,18,19,15,15,12,12,12,12,12,11,11,12,11,11,13,10,10,9,9,7,11,12,12,10,11,10,13,11,10,8,10,11,13,13,9,10,9,12,11,12,15,10,11,11,13,11,13,11,14,14,14,11,10,15,13,19,11,16,15,19,12,13,18,19,24,16,19,18,20,17,17,17,16,19,19,17,16,12,14,12,11,10,15,13,11,10,13,13,10,13,10,12,11,11,12,14,15,16,15,16,24,25,22,24,17,11,-1,
84,63,77,83,90,87,83,80,74,71,64,64,55,46,42,36,32,30,30,27,26,22,24,24,24,22,21,22,21,21,21,23,22,21,18,20,20,19,21,21,21,20,22,20,20,20,20,20,20,21,24,20,22,21,24,20,23,23,20,20,20,24,20,22,18,22,22,21,16,18,23,20,24,14,19,18,21,12,14,19,18,20,14,16,14,16,13,13,12,11,14,14,13,11,10,10,9,9,7,12,11,12,9,15,13,11,13,11,14,14,14,15,16,16,17,18,21,25,25,23,25,17,7,-1,
50,64,99,101,107,99,97,93,88,88,82,79,69,54,40,51,34,24,25,23,22,21,23,22,17,18,16,14,10,20,19,18,18,20,20,18,20,11,5,18,14,17,19,19,16,18,18,18,18,19,20,19,20,17,18,14,19,19,17,18,18,19,20,19,14,18,17,14,14,15,18,15,25,-5,5,9,13,-1,-7,-3,3,14,-10,-8,-10,-5,-10,-9,-9,-9,-11,-10,-11,-12,-12,-12,-13,-12,-13,-10,-9,-15,-14,-6,-10,-9,-13,-14,8,8,6,7,10,7,9,16,15,0,0,-8,-9,-12,-13,-17,
65,75,74,78,80,78,75,67,61,56,50,44,38,30,26,22,20,16,16,14,14,11,10,11,9,7,7,6,6,7,7,8,8,8,7,6,7,6,7,6,6,7,5,6,8,7,7,7,8,9,10,9,11,9,9,9,11,10,9,8,8,10,6,8,7,9,7,6,5,6,9,6,8,4,6,4,4,3,4,5,2,2,1,2,-1,1,-1,0,0,0,-1,-2,-2,-1,-2,-1,-2,-2,-3,0,-1,-1,0,0,0,-1,1,0,5,5,5,5,7,7,7,7,8,5,5,4,4,-2,-6,-9,
78,89,85,83,85,84,78,71,65,61,55,51,46,39,34,28,28,24,23,22,21,20,18,17,18,16,15,15,16,17,15,16,15,14,15,14,15,13,13,13,12,13,14,14,14,14,16,16,15,15,15,17,18,16,16,16,17,17,15,15,15,16,14,15,14,15,14,15,15,16,18,16,17,12,13,12,13,9,10,11,11,9,9,10,9,9,6,7,5,6,7,7,7,5,6,6,6,7,7,8,9,8,8,10,9,10,11,10,19,18,17,17,22,24,23,21,23,28,28,27,25,21,15,4,
81,85,88,91,92,93,87,80,74,69,62,57,50,43,38,33,32,29,29,28,26,25,23,21,21,21,20,19,19,20,21,20,20,19,19,18,19,18,18,18,18,18,19,19,18,18,21,20,21,19,20,20,20,20,21,22,22,22,21,19,19,21,20,20,20,19,18,19,19,20,21,20,20,16,18,15,17,14,14,15,14,11,11,13,11,12,10,11,9,9,9,10,10,9,9,9,10,11,11,12,12,13,12,13,14,13,14,14,20,19,19,18,21,21,21,21,21,20,20,20,16,12,7,-3,
87,90,92,93,92,91,86,79,74,69,63,57,52,46,42,36,34,33,34,33,31,29,28,28,28,28,28,27,26,26,26,26,26,25,25,25,26,25,25,26,25,25,26,25,24,24,25,25,25,24,25,25,25,24,25,25,26,25,25,24,24,24,23,23,24,24,22,23,24,25,26,24,25,25,25,22,23,23,24,23,22,23,25,25,23,23,24,25,21,23,24,24,24,18,22,22,22,23,20,20,20,21,21,21,21,21,22,22,25,25,25,25,9,11,14,18,24,-18,-16,-17,-22,-23,-25,-31,
66,69,67,69,65,71,64,58,52,48,42,35,28,22,19,15,14,11,9,7,6,5,6,5,3,3,1,1,1,1,1,0,0,0,1,0,0,1,1,2,2,2,0,1,2,2,1,1,1,0,-1,1,0,1,1,0,0,0,0,0,1,2,1,1,-1,-1,0,0,-2,-1,-1,-1,-1,0,0,-1,0,-1,-1,-1,0,-3,-1,0,-2,0,-1,0,-1,-1,-2,-2,-1,-1,-3,-2,-2,-1,-1,-2,-2,-2,-2,-1,-1,-1,-1,-2,-5,-4,-5,-5,-8,-8,-7,-6,-4,-9,-9,-8,-11,-14,-18,-24,
74,74,71,74,69,73,66,61,56,51,45,41,34,28,26,22,19,17,15,14,14,12,13,12,12,10,8,8,7,8,8,7,6,8,7,7,7,9,9,9,9,9,8,7,7,8,9,8,8,7,7,7,7,7,8,8,7,7,7,8,7,8,7,8,6,7,6,7,5,5,6,5,5,7,8,6,7,7,7,6,6,5,4,6,5,5,7,7,5,5,5,5,5,5,5,6,6,5,5,6,7,5,6,6,7,7,6,6,10,11,9,10,10,12,13,12,14,7,8,9,7,5,0,-8,
75,85,86,90,85,89,81,76,70,66,59,53,46,39,36,29,27,24,23,22,21,20,19,18,17,15,15,15,15,14,13,13,13,13,14,15,15,16,16,16,15,14,14,13,14,14,15,15,15,14,14,14,14,14,14,14,14,15,14,15,14,15,14,15,14,15,15,15,12,13,13,13,13,14,14,14,14,14,14,14,13,11,11,12,12,12,12,13,11,12,11,11,12,11,12,12,12,11,11,13,14,12,12,13,14,15,13,14,13,14,13,15,10,12,13,13,14,4,6,5,4,2,-5,-15,
81,85,84,86,77,79,70,72,64,60,52,50,43,37,32,28,24,21,22,19,21,19,18,17,18,16,15,15,14,14,12,13,12,14,14,14,15,15,15,16,15,15,14,13,15,15,14,14,15,15,15,14,14,14,14,14,15,14,15,16,16,15,16,16,14,15,15,15,13,14,14,14,15,13,15,14,14,15,14,15,14,12,12,13,12,13,13,14,13,14,11,12,13,12,11,12,13,12,12,12,13,12,12,11,13,14,13,14,10,11,10,11,13,14,15,13,15,-3,-3,-5,-6,-8,-13,-32,
87,77,56,59,50,55,46,47,41,37,29,28,21,15,12,8,6,4,3,2,1,-1,0,-1,-2,-3,-4,-3,-3,-3,-4,-3,-4,-4,-4,-4,-4,-5,-5,-5,-5,-5,-5,-5,-4,-4,-6,-5,-5,-5,-5,-5,-5,-6,-5,-6,-5,-5,-4,-5,-5,-4,-4,-4,-5,-5,-5,-5,-4,-4,-3,-4,-5,-4,-4,-5,-5,-4,-4,-4,-4,-4,-5,-3,-4,-4,-5,-5,-5,-4,-5,-4,-4,-5,-5,-4,-4,-5,-4,-5,-4,-6,-5,-7,-5,-4,-7,-10,-10,-8,-9,-7,-10,-8,-7,-10,-10,-4,-4,-7,-9,-11,-16,-23,
80,75,69,67,58,62,53,57,49,44,37,39,30,24,20,18,14,11,10,9,10,8,7,6,7,5,4,5,4,5,3,4,3,5,4,4,4,3,3,2,2,3,4,4,4,4,3,3,3,2,4,4,3,3,3,4,3,3,3,4,4,4,5,4,4,3,3,2,5,5,6,5,5,4,4,3,3,4,5,5,5,5,5,5,4,5,4,4,4,5,4,5,5,5,5,5,6,6,5,3,5,4,5,0,2,5,3,-4,-1,1,-1,1,1,2,4,3,3,0,0,-1,-2,-5,-9,-14,
82,86,80,79,68,68,59,66,58,52,45,46,39,32,28,26,23,21,20,17,20,17,17,15,15,14,13,13,14,13,13,12,11,12,12,12,13,11,11,11,11,13,12,13,12,13,11,11,11,11,11,11,12,10,10,11,11,11,11,14,14,13,13,13,11,11,11,11,12,12,12,13,11,11,11,11,11,11,11,12,12,12,12,12,11,12,11,12,10,11,10,11,11,12,10,11,12,11,13,10,12,9,11,9,11,14,12,4,7,9,6,9,9,10,12,12,11,9,7,7,3,2,-5,-12,
97,91,83,80,69,69,59,67,59,53,46,48,40,33,30,28,24,21,20,18,21,18,17,16,17,16,15,15,16,15,14,14,13,15,14,15,15,13,12,12,12,14,14,15,14,14,13,13,13,13,13,14,14,13,13,13,13,13,13,16,16,16,15,16,15,15,14,15,15,15,16,16,14,14,15,15,14,14,14,15,15,16,15,15,15,15,14,15,13,13,13,14,15,14,12,13,15,14,15,12,14,12,14,8,12,14,13,2,4,8,5,8,4,6,7,6,7,3,2,2,1,-2,-6,-11,
90,93,83,74,62,51,45,60,55,51,36,38,34,29,26,20,18,17,16,9,14,13,11,11,11,10,9,10,9,9,9,9,9,8,7,8,9,8,8,8,8,6,7,8,7,7,8,7,7,7,7,6,7,7,7,7,7,7,7,6,7,6,6,6,6,7,7,7,7,7,8,10,8,6,7,7,9,6,6,8,6,6,9,6,6,8,6,6,8,5,8,7,7,7,5,7,9,9,20,5,6,3,16,2,7,9,5,-14,-13,-12,-16,-14,-8,-7,-5,-7,-7,-2,-4,-4,-6,-11,-15,-20,
62,64,67,69,65,69,64,56,50,45,39,33,29,24,18,13,12,10,10,7,6,5,4,3,4,3,2,2,3,2,2,1,0,0,-1,1,0,1,1,1,0,-1,-1,-1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,-2,-2,-2,-2,-1,1,1,1,1,-1,-1,0,0,1,1,1,1,1,0,1,0,0,-1,-1,0,0,0,0,0,-1,0,0,1,0,1,1,1,2,1,1,1,2,0,1,-3,-1,1,-2,0,2,4,1,3,3,4,5,3,3,8,7,5,-2,-8,-19,-26,
69,73,70,70,69,62,57,61,57,48,44,41,37,33,25,19,19,18,16,15,13,13,11,11,11,10,10,10,10,9,9,8,8,9,9,7,8,7,8,8,7,8,7,8,7,7,8,8,9,9,8,8,9,8,8,8,9,9,9,7,8,7,7,8,9,10,9,9,9,8,9,8,8,8,9,9,9,7,7,8,7,8,8,8,9,8,7,7,7,7,7,8,8,9,8,8,9,9,9,8,9,7,8,3,5,5,5,2,4,5,4,6,4,6,6,6,7,4,2,8,5,-2,-7,-16,
79,89,93,96,97,87,83,80,76,67,63,55,50,46,38,30,26,25,21,21,19,19,18,17,17,17,17,17,16,16,15,15,14,15,15,14,15,14,14,14,14,14,13,14,13,13,14,14,14,15,14,14,15,14,14,14,14,15,14,13,14,14,13,14,16,16,16,15,14,14,15,14,14,15,15,14,15,13,14,14,15,14,14,15,15,14,13,14,14,14,14,14,14,14,14,15,15,15,15,14,14,13,14,10,12,11,11,8,11,13,11,13,10,11,12,11,11,9,8,12,8,1,-6,-20,
79,90,96,99,101,93,91,82,79,70,67,56,53,49,41,33,29,29,26,26,23,23,22,22,20,21,20,20,19,19,19,18,18,18,18,18,18,18,18,18,18,18,17,17,16,16,17,18,18,17,17,17,17,17,17,17,17,17,17,16,16,16,15,16,17,18,17,17,15,16,15,16,16,16,17,16,17,15,15,16,16,15,16,15,16,15,15,15,15,16,15,15,15,15,16,16,16,15,16,15,16,14,14,14,15,13,13,16,17,18,16,17,22,23,23,22,23,27,21,28,5,-3,-26,-25,
82,86,90,91,95,84,82,72,69,58,55,40,36,33,25,17,12,12,8,8,6,6,5,5,3,4,3,3,2,2,2,2,2,0,1,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,-1,0,-1,0,-1,0,-1,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,-1,-2,-1,-2,-2,-1,0,-1,-1,-2,-2,-2,-1,-2,-2,-1,-1,0,-2,-2,-2,-3,-2,-1,-1,-2,-2,-3,-2,-2,-2,-1,0,0,-1,-2,-1,1,-1,0,-1,-1,0,0,0,2,0,4,0,-7,-7,-13,
89,95,99,100,106,95,95,79,76,65,61,48,44,40,32,24,19,18,14,14,13,13,12,12,11,11,10,10,10,10,10,9,9,8,8,8,8,8,8,9,9,8,8,8,9,9,8,8,7,6,7,7,7,7,7,7,7,7,7,7,8,7,7,7,6,6,6,6,7,7,7,7,6,6,6,5,5,6,6,6,6,6,6,6,6,5,6,6,7,7,6,7,6,5,6,6,7,6,6,6,6,6,7,9,9,9,9,9,9,11,9,10,5,6,6,6,5,10,8,10,-1,-7,-10,-14,
77,88,94,97,102,95,94,81,78,69,65,53,49,45,37,29,25,24,21,21,18,18,18,19,16,17,17,16,14,14,15,15,14,13,14,13,14,12,13,14,13,13,14,14,13,13,14,14,14,14,13,13,14,12,12,13,13,12,12,12,12,13,13,13,12,12,11,11,13,13,12,12,12,12,13,12,12,12,13,12,13,11,12,12,12,12,13,13,12,13,11,11,12,12,12,12,13,12,13,11,12,12,12,12,13,13,13,12,13,14,14,14,12,12,12,12,12,14,12,13,9,4,3,-4,
88,95,102,105,110,103,101,84,80,71,67,53,48,44,36,28,24,23,19,20,17,18,18,19,16,16,16,16,15,15,16,15,16,14,14,14,14,15,15,15,15,15,16,16,15,15,15,15,15,14,15,15,14,14,13,13,14,13,13,14,14,14,14,14,13,13,12,12,13,13,14,13,13,13,14,12,13,13,13,14,13,12,13,13,13,13,13,14,13,14,13,13,14,14,13,14,15,13,14,12,13,13,13,15,16,15,16,16,16,17,16,17,16,17,17,16,16,19,18,18,14,8,7,0,
26,41,51,58,62,60,75,40,32,26,18,15,12,9,8,6,4,4,2,2,0,0,-2,-1,-5,-4,-4,-4,-6,-6,-6,-5,-5,-6,-5,-6,-6,-7,-7,-7,-7,-7,-8,-7,-7,-7,-7,-8,-7,-7,-8,-8,-8,-8,-8,-9,-9,-8,-8,-9,-9,-9,-10,-9,-9,-9,-9,-9,-8,-8,-9,-9,-9,-9,-9,-10,-9,-10,-9,-10,-10,-10,-9,-9,-10,-9,-9,-9,-9,-9,-10,-9,-10,-11,-10,-10,-10,-10,-10,-11,-10,-10,-10,-12,-11,-11,-6,-10,-10,-10,-5,-9,-9,-7,-9,-9,-9,-9,-9,-8,-10,-13,-15,-18,
31,39,42,49,51,50,48,45,41,37,32,29,25,21,18,16,14,13,11,11,9,9,8,7,5,5,5,5,5,4,5,4,5,5,5,5,4,5,5,5,5,5,5,4,5,4,3,3,3,3,5,4,4,3,4,3,3,3,4,3,4,4,3,3,4,4,4,4,3,3,3,2,3,3,3,2,2,2,3,2,2,4,3,4,4,3,2,3,3,4,5,5,5,4,2,3,3,3,3,4,4,4,4,4,4,5,6,5,6,5,7,7,10,10,10,9,9,11,9,10,7,3,-1,-8,
55,57,58,61,60,64,61,52,47,48,42,35,30,25,26,22,21,20,21,19,16,16,15,15,12,12,11,10,11,12,12,11,11,9,9,9,10,12,12,12,11,12,12,12,11,11,10,10,10,9,11,11,11,9,10,9,10,10,10,10,11,11,10,10,10,10,10,10,9,9,9,10,9,9,9,9,9,9,9,10,11,9,9,10,9,9,9,10,9,10,11,11,10,10,9,9,10,9,10,10,11,12,12,12,12,13,14,12,12,12,13,14,12,12,12,11,11,13,13,8,5,3,-3,-13,
45,49,57,66,62,73,68,60,53,52,45,42,35,29,28,27,24,23,23,21,19,19,18,17,16,15,15,14,15,15,15,14,14,13,14,14,14,15,16,16,15,15,15,15,15,15,14,13,13,14,14,15,15,14,13,13,13,13,14,14,14,14,13,14,14,15,14,14,13,13,13,13,13,13,13,13,13,13,13,13,14,13,14,15,14,13,14,14,14,14,15,16,16,16,13,14,14,13,14,14,15,16,16,16,16,18,18,18,18,18,19,20,21,21,21,20,21,21,21,16,15,13,9,0,
65,64,68,72,66,75,68,66,60,60,55,53,48,42,27,40,23,15,12,12,24,14,16,8,29,27,20,24,28,29,29,28,28,26,27,27,27,26,27,27,26,26,26,26,25,25,25,26,26,26,25,26,25,25,25,24,24,24,24,25,25,25,24,24,25,25,24,24,24,24,25,24,23,23,23,23,24,24,23,24,24,23,24,24,23,24,24,25,24,24,24,24,23,23,23,24,24,23,23,24,24,24,24,24,24,24,25,24,25,25,26,26,27,27,27,27,27,27,27,22,24,23,18,13,
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141,132,138,130,123,118,111,87,79,66,63,40,39,37,25,19,12,13,8,9,7,8,6,6,4,5,5,3,3,3,3,2,2,2,3,0,1,1,1,2,0,-1,-2,-1,-1,-1,-1,-2,-1,-2,-1,0,0,-1,-1,-2,-1,-2,-3,-1,0,-1,0,0,0,-1,-2,-1,1,2,1,0,-2,-1,-2,-2,-1,-1,0,0,-1,1,1,0,1,0,1,1,1,1,1,0,0,0,3,1,1,3,2,3,1,6,4,6,4,2,6,4,3,2,5,5,3,5,7,9,9,10,13,10,10,8,-2,-22,
139,137,134,137,134,118,113,92,88,64,65,42,43,43,27,19,15,18,14,16,11,12,11,12,9,9,9,8,7,7,6,6,6,5,5,4,5,4,5,3,3,1,1,1,1,1,0,0,0,1,3,2,3,2,2,0,1,0,1,1,1,1,2,2,1,2,1,1,3,4,3,1,2,1,2,1,0,2,1,0,2,2,2,1,2,2,2,3,3,2,3,1,3,3,6,5,3,6,4,6,3,8,4,8,5,1,5,3,3,2,4,6,4,5,9,10,12,9,11,9,8,6,-4,-24,
137,133,135,136,137,121,118,92,88,66,69,47,47,47,31,26,22,25,20,22,19,20,18,18,16,18,18,16,13,15,16,12,15,12,15,12,14,11,14,14,12,9,6,9,5,10,11,9,10,5,9,8,12,8,7,9,8,9,3,11,10,10,8,8,9,10,3,5,9,11,10,9,9,8,6,8,7,6,6,7,6,7,7,8,8,8,9,9,9,9,9,9,9,10,11,10,9,12,11,11,10,15,8,13,11,11,11,9,8,8,10,11,8,9,11,11,13,12,13,11,-2,1,-17,-46,
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139,186,160,142,126,115,106,83,78,59,60,40,40,39,25,24,16,20,13,17,11,12,12,12,9,10,12,7,8,8,9,4,4,3,5,1,1,3,2,4,-1,0,2,2,1,2,1,2,2,0,0,0,0,-3,-3,-4,-3,-3,-3,-1,-1,-1,-2,-3,-3,-4,-2,-3,-5,-5,-5,-5,-4,-5,-4,-6,-5,-5,-5,-3,-3,-4,-6,-6,-3,-4,-4,-4,-5,-4,-3,-3,-6,-5,-3,-4,-4,-2,-2,-4,-5,1,-3,-2,-5,-4,-2,2,1,-2,0,1,2,2,1,4,2,4,1,-8,-7,-9,-16,-29,
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79,112,93,98,95,94,93,82,81,72,69,60,56,51,36,31,38,33,28,21,25,19,14,9,15,10,6,4,0,-1,-6,-2,-3,-1,-3,-2,-5,0,-3,-4,-5,-10,-9,-11,-7,-9,-10,-12,-11,-11,-12,-11,-11,-9,-10,-9,-8,-8,-10,-8,-10,-11,-10,-11,-9,-10,-10,-11,-12,-13,-12,-11,-12,-13,-13,-12,-11,-10,-10,-10,-10,-12,-12,-13,-12,-13,-14,-14,-12,-11,-13,-14,-13,-13,-14,-14,-14,-14,-14,-12,-13,-12,-13,-14,-14,-14,-11,-12,-13,-15,-7,-10,-2,-3,-6,-9,-11,-1,-6,-11,-12,-26,-39,-63,
101,104,104,104,104,99,98,88,84,76,71,64,61,55,53,47,45,38,40,33,34,29,27,21,27,22,18,15,16,17,12,12,12,14,11,10,10,13,10,10,9,9,11,9,9,10,11,8,8,7,7,9,8,7,6,8,7,7,7,8,7,6,5,4,7,6,6,6,7,5,5,6,6,5,4,6,6,6,4,4,5,5,6,4,2,2,4,4,4,2,4,5,2,2,4,4,4,3,0,3,2,-1,1,2,3,0,1,3,4,2,2,0,5,5,2,3,1,3,0,-3,2,-9,-21,-39,
92,102,106,102,105,94,94,91,90,79,75,74,69,64,63,61,59,50,53,47,46,43,41,37,40,36,34,32,33,34,31,29,28,32,29,30,28,32,28,28,27,25,28,26,26,26,26,24,25,23,27,25,27,24,24,27,24,25,25,25,24,24,24,22,24,24,24,24,24,21,23,24,24,23,23,24,24,23,22,23,25,23,24,22,22,21,22,22,19,21,21,22,21,19,22,20,21,19,17,19,19,16,19,18,18,18,19,19,19,19,18,18,20,20,18,20,19,20,20,20,20,8,-11,-31,
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120,57,85,93,104,94,101,92,93,89,80,78,75,67,73,71,63,63,63,55,52,44,39,31,32,25,30,28,18,17,14,12,11,11,10,9,6,10,9,8,6,8,5,8,6,6,4,5,7,5,7,9,8,4,7,7,6,6,8,4,4,3,8,7,7,8,9,11,9,7,7,7,3,6,5,7,10,8,7,8,6,7,4,6,9,5,13,8,6,12,18,18,14,17,24,23,29,21,29,28,30,29,31,36,39,35,29,30,33,36,26,31,27,29,31,31,34,34,34,38,29,27,11,-32,
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120,120,120,109,108,108,108,108,108,106,103,100,99,98,97,96,95,94,93,92,91,90,89,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,100,
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