Vorticity
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nan 3 3 3 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 7 8 8 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 8 9 9 9 9 8 8 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 6 12 19 23 21 17 13 9 6 3 2 3 9 16 20 18 10 -1 -5 -1 3 5 5 5 4 5 6 7 7 6 6 5 4 3 3 4 4 4 3 3 4 5 5 6 5 4 2 2 3 5 8 9 9 8 8 6 5 5 6 7 9 10 9 8 7 8 11 11 8 6 7 9 9 8 7 9 10 11 11 13 17 19 16 10 7 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 17 23 17 9 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 6 6 5 4 3 2 -1 -4 -3 -1 1 -0 -0 2 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 5 7 11 17 20 20 16 13 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 7 9 8 4 0 -0 0 2 2 -3 -10 -7 1 5 5 4 3 3 4 4 5 6 7 8 9 10 9 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 2 2 3 4 5 6 7 7 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 7 6 5 4 5 5 4 3 2 2 2 2 2 nan
nan 4 4 4 3 3 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 7 7 8 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 8 8 9 9 8 8 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 6 13 21 23 21 19 16 11 6 3 1 2 7 12 14 14 12 6 2 1 2 4 6 6 4 4 6 7 7 7 6 5 4 4 4 5 6 5 3 2 2 3 4 5 5 4 3 3 5 8 9 9 9 9 9 8 6 6 7 8 8 9 9 8 8 9 11 9 7 8 9 10 9 7 6 7 8 10 11 15 17 15 10 8 7 7 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 9 18 22 16 8 6 7 7 6 6 6 5 5 5 6 6 7 7 6 5 5 5 6 6 6 5 3 -1 -5 -6 -3 -0 -2 -4 -2 2 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 1 1 1 1 1 1 1 2 3 4 6 8 11 16 19 18 13 9 7 7 7 7 7 6 6 6 7 7 6 5 5 6 7 8 7 5 4 4 3 2 2 -0 -4 -3 1 5 5 5 4 3 3 3 4 5 5 6 7 8 9 8 8 8 8 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 3 3 4 5 6 7 8 9 9 8 7 7 8 8 7 7 7 6 6 7 7 8 8 8 8 7 6 5 5 4 4 4 3 3 2 1 2 3 3 nan
nan 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 8 9 9 9 9 8 7 6 6 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 6 11 16 18 18 18 16 13 8 5 3 3 4 5 7 8 9 9 7 4 2 4 6 6 6 6 6 6 6 6 5 4 4 4 5 6 6 6 4 2 2 2 3 4 4 4 4 5 8 10 9 8 8 9 9 8 7 7 7 7 7 7 7 8 9 11 10 8 7 9 9 8 7 6 5 6 7 10 14 16 15 10 8 8 8 8 6 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 9 18 21 14 7 6 8 7 6 5 6 6 6 6 6 6 7 7 8 7 6 5 5 5 5 4 3 1 -2 -5 -4 -0 1 -2 -4 -1 3 4 3 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 7 6 6 5 5 6 6 6 7 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 2 2 1 1 1 1 1 1 2 2 3 4 5 6 9 13 15 13 8 6 6 6 5 5 5 6 7 8 8 8 6 5 6 7 6 5 4 4 4 2 -0 -0 1 2 2 4 6 6 5 4 3 3 3 4 4 5 5 6 7 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 5 6 8 9 9 8 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 6 5 4 4 4 4 3 2 2 3 4 4 nan
nan 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 10 10 10 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 9 11 11 11 10 10 10 9 7 5 3 2 2 3 4 6 7 7 5 3 4 5 5 6 6 6 6 6 5 5 5 5 4 5 5 6 6 5 4 3 2 3 3 4 4 5 6 8 8 7 7 7 7 7 6 6 6 6 6 5 4 6 8 11 11 9 7 7 8 8 6 5 5 5 6 9 13 16 15 11 8 8 9 9 8 6 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 8 17 21 14 7 7 8 7 6 6 6 6 6 6 6 6 6 7 8 8 7 6 5 4 3 3 2 2 0 -3 -5 -2 3 4 1 0 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 6 5 6 6 6 6 6 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 4 4 3 3 2 1 2 3 2 2 1 0 0 1 2 4 7 10 10 7 5 5 5 5 5 5 5 6 7 7 7 6 6 7 7 6 4 3 4 3 1 -1 -0 2 4 5 6 6 6 5 4 3 3 3 4 4 5 5 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 6 6 5 5 4 4 5 6 8 9 8 8 7 7 6 6 6 6 6 7 7 7 8 8 9 8 8 8 7 6 5 4 4 5 5 4 5 5 6 6 nan
nan 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 9 10 11 10 10 8 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 8 9 8 5 2 3 6 6 4 2 0 1 2 3 5 7 6 4 3 4 5 5 5 5 6 7 6 5 6 6 6 5 4 3 4 5 5 5 4 3 4 4 4 5 7 8 6 4 3 4 6 6 5 4 5 6 6 5 4 4 6 9 11 10 9 8 7 6 6 6 5 5 5 6 10 13 14 11 8 8 8 9 9 7 5 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 15 22 17 9 8 7 6 6 6 6 6 6 7 6 5 6 6 7 7 6 6 5 4 4 3 3 2 1 -1 -4 -5 -0 4 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 6 6 5 5 3 2 2 3 3 2 -1 -3 -4 -4 -3 0 3 6 7 6 5 5 5 5 5 5 5 5 6 6 5 7 9 10 9 8 5 3 3 2 2 2 2 3 5 5 6 6 6 5 5 4 4 4 4 4 5 5 6 6 7 7 7 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 7 6 6 7 7 7 7 7 8 8 nan
nan 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 11 11 11 9 7 5 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 10 13 10 2 -0 2 2 0 -1 -1 -0 2 4 6 6 5 3 4 5 6 6 5 5 6 6 5 5 6 7 7 6 4 3 3 3 4 4 4 5 6 5 4 7 9 9 6 3 1 2 5 6 5 3 4 7 8 6 5 5 7 10 10 9 9 8 7 5 5 6 6 5 5 7 10 11 10 8 8 9 9 9 8 6 5 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 12 20 19 11 7 6 6 6 6 6 6 7 7 6 5 5 6 6 6 6 6 5 5 5 5 4 4 3 2 0 -4 -6 -4 1 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 6 4 3 1 1 1 -0 -3 -5 -6 -5 -2 2 4 5 5 5 5 5 4 5 5 5 5 5 4 3 5 9 12 12 10 7 5 3 3 3 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 5 6 6 6 7 7 7 7 6 6 6 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 10 10 11 10 10 9 7 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 8 8 9 9 10 11 10 10 9 8 8 8 8 8 7 7 7 7 7 nan
nan 5 5 4 4 4 5 5 5 4 4 3 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 4 4 5 5 6 7 8 9 9 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 11 11 11 9 6 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 9 15 14 8 4 2 0 -2 -2 -2 0 2 3 4 4 3 4 5 6 7 6 5 5 4 3 4 4 5 5 5 4 4 4 2 2 3 4 6 7 7 5 5 7 10 10 7 4 2 2 4 7 7 6 6 8 9 7 6 6 8 10 10 10 9 8 6 4 5 6 6 5 6 8 11 10 8 7 8 9 9 9 7 6 4 3 3 2 3 3 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 9 17 19 12 7 6 5 5 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 1 -5 -8 -4 2 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 7 8 8 8 7 4 1 -0 1 2 2 -0 -2 -0 1 2 4 4 4 5 5 5 5 5 5 5 6 6 3 -1 -1 4 9 10 9 7 5 4 4 4 5 5 4 4 4 5 5 6 5 4 4 4 3 3 4 5 5 6 6 6 7 7 7 7 7 6 6 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 9 10 11 12 12 12 12 11 10 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 10 11 11 9 8 8 8 8 8 7 6 5 5 5 5 nan
nan 5 5 5 5 4 5 5 5 5 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 5 6 6 7 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 7 8 8 9 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 9 11 11 10 8 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 8 11 13 12 9 5 2 0 -0 1 2 2 3 3 4 5 6 6 6 6 5 5 4 3 2 2 2 1 1 1 2 4 4 3 4 5 6 8 8 7 5 6 8 10 10 8 6 4 3 5 8 9 8 7 8 9 8 6 5 6 8 10 10 8 7 5 4 4 5 5 5 7 10 11 9 7 7 9 9 9 8 7 5 4 3 2 2 3 3 3 4 5 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 6 14 18 14 9 7 6 5 5 7 8 8 8 8 7 7 8 9 9 7 7 6 6 6 7 7 7 5 5 5 4 -0 -6 -6 -0 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 5 6 7 7 7 7 8 7 4 2 2 5 6 4 3 3 4 4 5 5 5 5 5 5 5 5 4 5 7 9 6 -1 -6 -3 4 6 5 5 4 4 4 5 5 5 5 4 4 5 6 8 7 5 3 2 1 1 2 4 5 5 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 7 8 8 9 9 10 10 10 10 10 12 13 13 13 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 9 8 7 6 6 6 5 4 4 4 3 3 nan
nan 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 5 5 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 9 10 10 9 7 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 8 10 11 11 8 6 5 4 4 4 4 4 5 6 7 8 8 6 5 3 4 5 5 4 3 0 -1 -0 1 2 3 4 6 7 8 8 9 9 6 5 6 8 10 9 8 6 4 3 5 8 8 7 6 7 7 6 4 3 4 6 9 9 7 6 5 4 3 4 4 5 8 11 10 7 6 8 9 9 9 8 6 5 4 3 2 2 3 3 4 4 4 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 4 5 9 15 15 13 10 8 7 7 7 8 9 9 9 9 8 9 10 10 9 8 7 7 6 7 8 7 6 5 5 5 3 -2 -5 -1 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 4 3 2 2 3 3 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 5 5 6 6 6 6 7 8 7 5 5 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 4 3 6 12 13 7 -2 -3 1 4 4 4 4 4 4 5 5 5 5 5 5 5 6 10 11 9 6 3 1 -1 0 4 5 5 6 7 8 8 8 7 6 7 7 7 7 6 6 6 6 6 6 6 7 8 8 9 10 10 10 10 10 11 11 12 13 13 13 12 12 11 10 10 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 9 9 8 7 6 5 5 5 4 4 4 4 4 nan
nan 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 5 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 9 10 10 10 9 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 9 8 6 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 9 10 9 8 8 8 7 6 6 6 7 8 8 8 9 9 8 5 3 3 5 7 7 4 1 0 1 2 2 3 5 7 9 10 9 9 8 6 6 7 8 8 8 6 5 3 4 6 8 7 5 4 5 6 5 3 1 2 6 8 8 7 6 5 4 3 4 4 6 9 10 8 6 6 8 9 9 8 7 5 4 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 6 8 12 14 14 12 11 11 11 11 12 12 11 10 9 8 9 10 9 8 8 7 6 7 8 7 6 6 5 5 4 1 -2 -0 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 6 6 5 3 1 0 0 1 1 2 3 4 5 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 3 4 5 6 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 6 3 3 9 14 12 5 1 2 4 4 4 4 4 5 5 5 5 5 5 5 5 6 9 11 12 10 7 6 2 -0 3 5 5 6 6 7 8 8 7 6 7 8 9 8 8 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 8 7 7 6 6 6 6 6 6 6 5 nan
nan 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 11 11 11 9 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 8 8 7 4 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 8 8 7 7 6 6 5 5 6 7 9 11 9 6 7 10 10 8 5 4 5 6 7 6 4 2 2 3 3 4 4 6 7 8 9 8 7 6 6 7 7 7 6 5 4 4 5 7 9 7 3 2 5 6 6 4 2 2 5 7 7 6 6 6 5 5 5 5 7 10 10 7 5 6 8 9 9 8 7 5 4 3 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 6 6 6 6 6 5 4 4 6 9 11 12 13 14 15 16 17 17 17 15 12 10 8 7 7 8 9 9 8 9 10 9 7 7 6 6 4 2 1 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 6 7 6 5 3 0 -2 -3 -3 -3 -1 0 2 4 6 6 5 4 3 2 1 1 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 9 11 10 5 2 4 7 8 6 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 8 9 9 9 9 6 3 3 5 5 5 6 7 8 8 7 6 7 8 9 9 9 8 8 8 8 7 7 7 7 8 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 7 7 7 7 7 6 nan
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nan 11 11 11 12 13 15 16 16 15 12 11 10 9 9 9 9 9 9 10 11 13 14 14 14 13 13 13 13 13 13 13 13 14 13 12 11 9 8 8 9 9 11 12 12 12 12 12 12 13 13 14 15 15 15 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 16 17 18 19 19 21 22 22 23 24 23 21 18 16 14 13 12 11 11 11 12 13 14 15 15 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 14 14 14 13 13 13 13 12 12 12 13 14 15 16 16 16 16 15 15 14 14 13 12 11 10 10 10 11 12 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 14 14 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 9 9 9 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 12 12 12 13 14 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 12 14 15 16 17 16 15 13 11 8 6 5 5 7 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 13 12 12 12 12 12 12 13 13 14 14 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 9 7 4 1 -0 -0 1 4 6 8 9 9 10 10 10 10 11 11 12 13 13 13 13 14 16 19 25 30 34 36 35 33 29 26 24 23 22 22 22 21 21 19 17 16 14 14 14 14 14 13 13 12 12 12 11 11 11 11 11 10 11 11 11 11 10 9 8 6 4 3 3 4 7 8 8 7 6 5 4 5 6 8 10 11 11 10 10 10 10 10 10 10 10 11 12 13 15 17 18 19 18 16 14 12 11 11 10 11 11 11 12 11 11 11 11 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 10 10 11 11 12 12 13 13 13 14 15 16 17 16 14 12 11 11 11 11 11 11 11 11 13 14 15 15 15 14 14 14 14 14 14 14 14 15 14 13 12 12 11 11 11 11 12 12 13 14 14 15 nan
nan 12 12 12 13 14 16 16 16 14 12 10 9 9 9 9 9 9 9 9 11 13 15 16 16 15 15 13 13 12 12 12 12 12 12 11 9 7 7 7 7 9 10 11 12 12 12 13 13 14 14 15 16 15 15 15 14 13 12 13 13 14 14 15 14 14 13 13 13 14 15 16 17 17 18 19 20 21 21 21 19 16 14 12 10 10 10 10 10 10 10 10 11 12 13 13 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 12 12 11 11 11 11 10 10 11 11 12 13 13 14 14 14 14 13 13 12 12 12 12 13 14 14 15 15 16 16 16 16 16 15 14 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 9 7 5 5 5 6 8 9 10 11 11 12 12 12 12 12 12 12 11 12 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 18 19 20 19 18 15 13 10 6 3 1 3 5 9 12 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 13 12 12 13 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 10 9 7 4 2 1 2 3 6 8 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 15 18 23 29 33 36 35 34 30 26 24 23 22 22 22 22 21 20 18 16 15 14 14 14 14 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 9 8 6 5 4 5 8 10 12 12 10 8 6 6 6 8 10 12 13 13 12 10 10 10 10 10 9 10 10 10 10 12 13 13 14 13 12 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 12 12 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 10 10 10 11 11 12 13 13 13 14 15 16 17 18 17 15 13 11 10 10 10 11 11 11 11 12 12 13 13 14 14 14 13 13 13 14 14 15 15 15 14 13 12 12 11 11 11 11 11 12 13 13 14 nan
nan 13 11 11 11 12 13 13 13 11 10 8 8 8 9 9 8 8 8 9 11 13 15 16 17 17 17 15 14 13 11 11 11 11 10 9 8 7 6 6 6 7 9 10 11 11 12 12 13 14 14 15 15 15 14 14 14 13 13 14 14 15 16 16 16 15 14 14 14 15 15 14 14 12 12 12 13 15 16 16 15 13 11 9 9 9 10 11 11 11 11 10 10 11 12 13 14 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 14 13 13 13 13 13 13 13 14 14 15 15 16 16 16 16 16 15 14 13 13 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 8 5 3 2 2 3 6 8 9 10 11 12 12 12 12 12 12 12 12 11 11 12 12 11 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 15 15 15 14 12 10 7 5 6 8 12 16 18 17 16 15 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 15 15 15 14 13 13 13 14 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 10 9 7 5 2 0 -1 -0 2 4 6 8 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 14 17 21 28 33 36 36 34 31 27 24 23 22 22 22 22 21 21 19 17 15 14 14 14 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 9 8 8 7 8 10 12 14 16 16 15 14 13 13 14 16 17 18 17 16 14 12 11 10 10 10 10 9 9 9 9 8 8 8 8 7 6 5 5 7 8 9 10 11 11 11 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 10 11 11 12 12 13 13 14 14 15 16 17 17 16 15 13 12 11 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 14 15 15 14 14 13 12 11 11 11 11 11 12 12 12 13 nan
nan 11 10 9 9 9 9 10 9 8 8 7 7 8 9 9 9 8 8 9 10 13 15 17 19 21 20 19 16 14 12 10 10 9 9 8 7 6 5 5 5 5 7 9 10 11 12 12 13 13 14 14 14 14 13 13 14 14 15 16 17 18 18 19 18 18 17 17 16 15 14 12 10 8 7 7 8 9 10 11 11 10 10 10 10 11 12 13 14 14 14 13 12 12 12 13 14 15 15 14 13 12 12 12 12 12 12 13 14 14 14 14 14 13 12 11 11 11 11 11 11 11 11 10 10 11 12 13 14 14 14 14 13 13 13 12 12 13 13 13 14 14 14 14 15 15 15 15 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 9 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 10 11 12 12 13 12 11 11 10 10 10 10 10 10 10 10 12 15 19 22 23 21 17 15 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 14 15 15 16 16 15 15 14 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 9 6 3 -0 -3 -4 -3 -2 1 4 6 8 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 14 17 20 26 33 36 37 35 32 28 25 23 22 21 22 22 22 21 20 18 16 15 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 12 13 15 16 17 17 16 17 18 19 20 21 21 19 17 15 13 11 11 10 10 10 9 9 8 8 7 7 6 6 5 5 5 6 7 9 10 10 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 10 10 11 11 12 12 13 13 14 14 15 16 16 16 15 13 12 11 10 10 11 11 10 10 9 8 8 9 10 11 12 12 12 12 12 13 13 14 14 14 14 14 13 13 12 12 11 11 12 12 12 12 12 nan
nan 9 8 7 7 7 7 8 8 7 7 7 8 9 9 10 9 9 9 10 12 15 16 18 21 22 23 21 18 15 12 9 8 8 8 8 7 6 5 4 4 5 7 8 10 11 13 13 13 13 13 13 13 13 13 14 15 16 17 18 19 19 20 20 19 19 19 18 17 15 13 11 8 7 6 6 7 8 9 10 11 11 12 13 13 14 15 16 16 17 17 17 16 15 14 14 14 14 14 13 12 11 11 11 10 10 11 12 13 13 13 13 13 13 12 12 11 11 11 12 12 11 11 9 9 11 12 13 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 13 13 12 11 11 12 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 11 10 9 8 8 8 9 10 11 12 12 12 11 11 10 10 10 10 10 10 11 12 15 17 20 20 19 17 15 14 14 14 13 13 13 13 14 15 16 16 17 16 15 14 14 13 13 13 13 13 14 14 15 16 16 16 15 14 13 13 13 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 9 7 5 1 -1 -2 -2 -1 1 3 6 7 9 9 10 10 10 10 10 11 11 11 12 12 13 13 13 13 14 16 20 25 32 36 37 37 33 29 26 23 22 21 22 22 22 21 20 18 16 15 15 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 14 14 14 14 15 16 18 19 19 18 16 15 13 12 11 11 10 10 10 10 9 9 8 7 7 6 6 6 6 7 8 9 10 11 11 11 12 11 11 11 11 10 10 10 10 9 9 9 10 10 10 11 10 10 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 11 10 10 11 11 11 12 12 13 14 15 15 16 16 15 13 11 10 10 11 12 12 12 12 10 9 8 8 8 9 10 11 11 12 12 12 13 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 nan
nan 8 8 7 6 7 6 7 7 7 8 8 9 10 10 10 10 10 11 12 15 16 16 18 19 21 21 20 17 14 10 8 7 7 7 7 7 6 5 5 4 6 7 9 11 13 14 14 14 14 13 13 13 14 15 16 17 18 19 20 20 20 19 19 18 17 17 16 15 14 12 11 9 8 7 7 8 9 10 12 13 15 16 17 17 17 17 16 17 17 17 18 18 17 16 15 14 13 12 12 11 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 12 12 13 13 13 12 11 10 10 11 11 12 13 13 13 13 13 13 12 12 12 12 12 11 11 10 10 10 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 13 12 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 11 10 10 9 8 9 10 12 13 13 13 12 12 12 12 12 12 13 12 12 12 12 12 13 14 14 15 15 15 16 16 17 16 15 15 14 14 14 15 16 16 17 17 16 16 15 14 13 13 13 13 13 13 14 16 16 17 16 15 15 14 14 13 13 13 13 13 12 12 12 11 11 10 10 10 9 8 7 6 5 3 2 0 -1 -2 -1 1 3 5 7 8 9 9 9 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 15 19 24 30 36 37 37 35 30 27 23 21 21 21 22 22 22 20 19 17 16 15 14 14 14 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 13 12 12 11 11 11 10 10 10 10 10 9 8 8 7 7 7 7 7 7 8 9 10 10 11 11 11 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 14 15 16 16 16 14 12 11 11 12 14 14 14 14 12 9 9 8 9 9 10 10 11 11 11 12 12 13 13 13 14 14 14 13 13 13 13 12 13 13 13 13 12 12 nan
nan 9 9 9 8 7 8 8 9 9 9 10 10 10 9 9 9 9 11 13 15 15 14 15 15 17 18 16 14 11 8 6 6 7 7 7 7 7 6 6 5 6 8 10 12 14 15 15 15 15 15 15 16 17 18 19 19 20 20 20 19 18 17 16 15 15 14 13 13 12 12 12 11 10 9 9 9 10 12 14 16 18 19 19 18 17 16 15 14 14 14 16 16 16 16 16 15 14 13 12 11 10 10 10 10 10 10 10 11 11 12 13 14 15 15 15 14 14 14 14 14 13 12 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 11 11 10 10 9 10 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 9 7 5 5 6 8 9 10 11 11 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 10 10 11 11 11 10 10 10 11 12 14 16 16 16 14 12 11 10 10 11 13 14 15 15 15 15 14 14 13 13 12 12 12 13 14 15 15 16 16 15 15 14 14 14 15 15 15 15 15 15 15 15 15 14 14 13 12 12 13 14 15 16 16 16 15 15 14 14 14 13 13 13 12 12 12 11 10 8 6 4 2 0 -1 -2 -3 -3 -3 -3 -2 0 3 6 7 8 9 9 9 9 9 10 10 10 10 10 11 11 11 12 13 13 13 13 13 15 18 23 29 35 38 38 36 32 27 24 21 20 21 22 22 22 21 19 18 16 15 15 14 14 14 14 14 13 13 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 12 13 15 15 15 15 13 12 12 13 14 16 16 15 14 12 11 10 9 9 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 12 nan
nan 10 10 9 10 9 10 10 11 11 11 10 9 8 8 7 8 8 10 12 13 14 14 13 13 14 14 13 11 9 7 6 6 7 8 9 9 9 8 8 8 8 10 11 13 14 15 16 16 16 17 19 20 21 21 21 20 19 19 18 18 17 16 14 13 13 12 11 11 11 11 11 12 11 11 10 10 11 13 15 16 17 18 17 16 14 13 12 11 10 11 12 13 14 15 16 15 15 14 13 12 12 12 12 12 12 11 11 11 11 12 13 14 16 16 16 16 16 15 14 14 13 12 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 11 12 13 13 14 14 13 13 12 12 12 12 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 11 11 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 11 10 7 3 -1 -5 -5 -2 3 7 10 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 10 9 8 8 7 8 8 8 8 8 9 10 11 11 10 11 12 13 16 18 18 18 16 14 12 11 11 11 11 12 13 14 15 16 16 16 15 14 12 10 9 9 9 10 11 12 12 13 13 13 13 13 13 14 14 14 15 15 15 16 16 16 16 15 14 13 13 12 13 13 14 15 15 15 15 15 14 14 14 13 13 12 12 11 10 7 4 1 -2 -4 -4 -4 -4 -3 -2 -0 2 4 6 8 9 9 10 10 9 9 9 10 10 10 10 11 11 11 11 12 12 13 13 13 13 15 17 22 29 34 38 38 37 33 28 25 22 21 21 21 22 22 21 19 18 17 15 15 14 14 14 15 14 14 13 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 9 10 10 10 11 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 14 13 12 12 12 12 14 15 16 15 14 13 12 11 11 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
5 5 5 4 7 6 3 4 5 5 5 6 6 4 4 4 6 9 10 13 20 28 37 48 57 68 86 107 128 145 166 183 198 221 262 301 325 368 437 521 606 694 784 878 972 1050 1108 1160 1212 1236 1222 1182 1097 971 828 685 549 429 319 236 171 116 79 50 31 16 9 4 2 3 1 3 2 2 2 4 10 16 16 8 1 0 1 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 4 19 13 10 51 13 61 77 80 105 113 119 120 119 124 150 175 189 202 209 202 240 321 408 501 595 667 728 798 868 936 1004 1066 1140 1262 1456 1461 1501 1609 1676 1725 1783 1837 1868 1846 1815 1798 1744 1737 1716 1636 1492 1344 1267 1251 1228 1164 1092 1057 1077 1127 1194 1287 1366 1386 1378 1341 1289 1246 1238 1254 1277 1305 1347 1366 1336 1428 1470 1501 1546 1585 1585 1552 1556 1597 1659 1744 1817 1710 1522 1518 1702 1867 1879 1903 2181 2652 3102 3251 3065 2820 2340 1929 1819 1751 1208 624 789 994 1022 1004 1005 892 689 542 354 117 15 0 0 0 0 0 1 2 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 1 24 125 211 201 239 343 480 613 625 508 340 241 179 135 108 121 313 665 925 1017 1020 963 872 743 656 554 469 427 424 450 488 507 538 574 588 630 652 645 660 642 639 611 594 572 548 579 630 657 698 723 776 829 928 1051 1101 1098 1099 990 710 424 284 242 248 328 398 449 500 555 773 1257 1300 1105 698 457 405 467 550 641 745 821 857 875 976 1196 1514 1635 1469 1242 1389 1423 1243 1042 861 779 819 859 834 836 985 1257 1492 1519 1417 1398 1422 1488 1585 1662 1660 1562 1543 1460 1475 1512 1568 1647 1794 1934 2010 2002 1881 1629 1376 1180 1037 940 887 957 970 961 985 1020 1058 1094 1116 1126 1136 1154 1160 1166 1190 1235 1285 1354 1448 1526 1584 1615 1604 1597 1840 2220 2953 3186 2771 2877 2713 2601 2490 2395 2341 2212 2055 1878 1671 1495 1387 1306 1190 1047 935 867 815 765 730 713 711 720 742 786 836 850 823 567 435 421 423 467 522 591 675 604 595 465 323 259 265 207 239 250 140 112 125 157 234 286 293 230 221 263 298 298 341 372 428 505 642 807 1014 1232 1477 1470 1191 910 750 700 678 663 672 658 622 635 672 668 659 651 643 641 649 664 625 624 656 700 776 785 737 655 588 609 696 740 771 916 1257 1505 1548 1551 1533 1456 1321 1134 1013 994 950 968 959 997 1010 935 797 748 670 581 493 403 462 746 1091 1279 1364 1423 1411 1488 1694 2014 2090 2106 2351 2402 2363 2168 2133 2168 2192 2153
3 4 4 4 5 4 2 2 0 1 1 2 3 2 2 3 3 4 5 6 10 14 19 24 28 39 52 74 95 112 134 155 169 181 197 215 234 274 349 437 506 579 673 774 876 965 1042 1115 1193 1251 1259 1230 1161 1074 979 878 762 636 514 399 299 209 141 91 55 34 20 13 8 6 3 4 2 0 0 0 2 10 18 13 4 0 5 8 7 3 0 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 11 36 7 28 74 39 84 96 109 111 110 111 142 147 145 151 167 193 233 285 358 446 539 639 714 774 850 933 1013 1086 1150 1259 1417 1465 1521 1564 1628 1707 1774 1810 1855 1873 1833 1799 1744 1735 1684 1586 1435 1282 1199 1175 1162 1114 1065 1058 1098 1163 1228 1296 1342 1334 1304 1260 1209 1165 1146 1160 1190 1227 1275 1276 1262 1367 1407 1455 1506 1547 1565 1532 1533 1577 1639 1700 1634 1459 1379 1443 1563 1611 1592 1689 2067 2561 2945 3167 2983 2570 1960 1531 1343 1062 550 105 183 321 425 471 465 365 239 148 64 12 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 3 23 87 143 188 232 240 304 405 449 383 246 139 95 110 164 279 532 840 1038 1093 1039 919 788 687 599 496 401 350 334 347 370 390 423 459 483 541 579 580 610 599 588 575 571 552 529 548 576 608 668 726 776 830 932 1019 1040 1039 1080 1068 846 531 326 216 167 197 265 298 349 430 695 1187 1195 956 591 369 308 330 370 444 551 648 750 881 1033 1206 1378 1413 1406 1345 1349 1386 1394 1238 1039 882 760 648 558 590 746 994 1364 1577 1450 1385 1339 1356 1357 1352 1431 1379 1326 1210 1198 1201 1222 1317 1458 1614 1755 1879 1905 1785 1573 1333 1106 935 846 904 947 946 949 958 980 1016 1053 1081 1110 1130 1141 1154 1181 1230 1299 1358 1422 1471 1454 1504 1713 1793 1984 2354 2702 2933 2828 2682 2651 2546 2492 2374 2267 2128 1939 1744 1565 1435 1356 1279 1163 1029 927 850 809 776 738 719 700 700 713 748 797 852 913 821 569 463 347 330 339 359 381 409 395 284 159 110 110 95 70 58 56 48 44 49 70 109 125 101 119 156 168 131 179 306 382 404 458 599 817 1107 1356 1376 1221 1028 857 733 672 654 667 690 668 684 707 676 648 613 582 547 528 566 568 583 600 582 588 615 707 759 772 805 821 820 830 951 1272 1556 1716 1849 1939 1987 1745 1510 1326 1179 1012 839 803 823 916 922 808 679 580 475 370 373 566 962 1230 1285 1355 1408 1413 1445 1548 1844 1900 1876 1702 1666 1841 2012 2141 2196 2191 2122
4 4 4 3 3 3 3 3 2 1 0 0 1 0 1 1 2 4 5 6 6 6 8 11 14 21 29 44 68 75 98 126 145 159 165 170 178 199 265 350 408 462 547 655 772 883 981 1063 1135 1200 1214 1194 1164 1117 1048 992 913 808 706 596 470 352 253 168 105 65 41 28 16 11 11 14 19 17 13 10 3 6 16 18 5 0 10 15 13 5 0 0 5 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 2 4 1 17 38 12 44 67 95 98 92 99 129 131 124 130 144 162 209 279 355 422 485 577 676 745 820 914 1011 1098 1162 1270 1423 1493 1549 1539 1587 1665 1725 1757 1812 1836 1815 1767 1730 1700 1633 1535 1388 1236 1150 1122 1111 1069 1054 1074 1116 1159 1205 1254 1268 1238 1193 1147 1107 1074 1056 1068 1102 1147 1196 1210 1205 1302 1361 1404 1473 1503 1540 1510 1510 1565 1645 1639 1570 1444 1503 1666 1751 1728 1718 1839 2177 2523 2607 2424 2067 1714 1320 963 681 389 139 5 11 13 27 43 41 20 6 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 2 25 44 76 114 160 134 135 195 279 332 287 199 128 98 138 255 421 662 914 1067 1085 1014 891 748 654 560 456 374 320 281 264 262 266 268 283 328 408 471 475 489 487 475 467 464 455 433 418 411 446 522 586 626 671 736 775 771 766 777 737 614 461 306 189 137 123 147 181 231 393 777 1102 994 723 467 298 222 215 225 267 352 450 568 728 903 1083 1230 1319 1425 1463 1427 1387 1509 1535 1345 1072 729 454 411 520 649 808 1120 1409 1323 1223 1194 1189 1192 1184 1202 1200 1094 954 897 891 926 1003 1126 1288 1471 1682 1832 1861 1757 1535 1260 1011 859 837 886 931 953 968 977 973 993 1015 1031 1055 1096 1120 1156 1199 1274 1323 1366 1469 1603 1818 1933 1904 2151 2404 2677 2652 2576 2513 2488 2408 2335 2286 2205 2059 1860 1673 1529 1402 1307 1220 1130 1045 972 900 860 841 793 749 714 689 687 707 728 755 807 858 861 750 550 389 346 338 320 290 259 188 105 63 48 42 40 41 29 21 22 30 42 54 73 82 88 113 134 161 177 262 352 360 362 444 613 781 959 1110 1133 1052 919 813 724 663 662 687 660 683 660 636 603 553 542 548 551 568 601 652 689 693 661 669 756 832 866 872 860 867 889 931 1057 1218 1345 1640 1793 1958 2029 1841 1664 1474 1236 996 864 828 881 919 789 627 526 447 380 411 624 1108 1267 1258 1298 1338 1332 1333 1365 1507 1610 1416 1080 927 1030 1493 2004 2175 2153 2062
3 3 3 3 3 4 4 4 4 4 3 1 0 0 0 0 1 3 6 6 4 4 5 7 9 12 13 19 35 46 58 82 119 139 148 147 146 153 189 269 322 370 442 534 652 779 899 1000 1076 1127 1149 1163 1158 1129 1080 1052 1008 922 839 760 659 527 386 269 180 113 68 42 28 23 22 13 8 10 14 19 11 5 9 19 10 1 10 14 13 3 0 3 8 5 0 0 0 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 9 2 13 40 61 65 69 81 110 126 128 169 217 155 210 265 328 401 459 517 617 709 791 894 990 1084 1150 1268 1364 1410 1505 1530 1567 1614 1646 1692 1738 1747 1738 1709 1679 1643 1579 1488 1348 1207 1128 1093 1075 1048 1050 1075 1097 1104 1122 1136 1122 1092 1051 1011 983 963 951 966 1003 1052 1098 1114 1133 1224 1300 1344 1431 1459 1508 1488 1486 1545 1662 1569 1367 1397 1662 2037 2276 2305 2248 2232 2325 2296 1888 1292 1006 961 723 431 184 60 14 15 42 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 1 14 57 66 86 109 106 83 95 160 251 282 219 171 131 109 146 269 450 710 958 1065 1043 981 885 744 630 523 426 359 300 242 203 175 166 162 161 197 261 326 349 334 331 328 321 313 296 279 267 259 270 319 385 424 457 496 529 554 547 502 419 311 228 174 122 83 74 76 94 145 330 711 909 727 566 419 276 178 156 153 174 232 303 380 489 658 829 1012 1198 1354 1436 1494 1503 1335 1236 1132 924 694 410 333 401 548 767 951 1110 1152 1070 1060 1073 994 967 992 986 883 689 646 650 657 696 801 939 1114 1354 1594 1732 1755 1668 1473 1223 1002 874 836 848 892 962 1030 1042 1016 1029 1016 1046 1076 1104 1134 1197 1298 1403 1479 1573 1744 1790 1820 1952 2236 2279 2492 2483 2470 2483 2425 2334 2300 2248 2125 1978 1806 1625 1479 1354 1236 1148 1104 1071 1024 967 933 901 847 793 729 688 665 664 663 653 632 617 623 717 649 412 310 355 311 269 211 116 67 33 12 12 17 20 17 13 11 18 30 58 80 102 111 127 192 300 332 339 350 328 314 367 516 721 907 1007 1004 997 944 840 750 730 683 680 662 648 594 577 565 560 583 594 598 629 674 730 775 778 771 758 768 788 795 810 825 832 963 1019 1135 1263 1364 1426 1497 1593 1802 1828 1833 1765 1455 1179 1003 1005 1161 1178 736 552 484 433 394 375 486 913 1169 1262 1295 1297 1277 1244 1220 1284 1432 1372 1069 854 761 1047 1793 2146 2164 2024
2 3 3 3 4 4 5 6 6 6 5 4 2 0 1 0 0 1 2 4 5 5 5 5 7 8 10 12 18 27 38 58 87 112 126 127 116 113 134 204 237 241 320 411 548 682 802 915 1006 1071 1107 1130 1137 1128 1117 1079 1037 992 936 870 810 703 541 396 273 180 110 64 46 37 29 20 11 12 17 21 22 18 9 18 17 8 7 7 6 1 7 11 11 5 3 2 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 1 0 2 16 40 54 57 66 87 112 114 121 152 186 228 283 305 382 447 505 568 657 740 855 947 1053 1118 1249 1330 1389 1487 1539 1585 1605 1593 1640 1677 1687 1672 1651 1629 1586 1522 1434 1306 1172 1095 1053 1028 1003 1002 1020 1016 992 975 952 925 906 880 854 842 833 829 848 889 940 990 1023 1059 1137 1212 1272 1366 1417 1457 1457 1444 1503 1630 1649 1474 1455 1697 2169 2504 2608 2544 2439 2312 1935 1222 579 419 456 322 135 35 12 17 31 36 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 5 28 58 65 77 86 90 88 100 178 264 249 191 178 169 167 184 257 422 715 997 1108 1079 1000 877 726 604 497 418 372 319 242 174 132 116 130 116 123 138 177 216 171 168 176 185 184 158 148 146 145 144 170 205 228 242 263 280 304 310 281 229 163 124 108 78 56 57 38 39 77 254 637 699 505 512 444 282 188 170 175 195 242 282 313 376 516 658 838 1044 1232 1374 1482 1480 1288 1124 1029 902 751 489 344 407 651 934 928 813 916 992 922 944 860 839 834 796 778 587 485 452 427 460 528 612 745 982 1289 1539 1658 1683 1625 1446 1197 990 864 807 835 905 957 1016 1036 1048 1073 1091 1125 1168 1156 1306 1456 1672 1731 1625 1676 1645 1733 1969 2094 2175 2275 2319 2302 2283 2288 2275 2238 2133 2017 1886 1713 1524 1362 1231 1140 1091 1069 1051 1018 976 943 888 816 745 697 673 643 616 599 579 548 508 455 425 410 280 140 133 95 85 56 52 39 19 1 1 12 15 12 8 5 6 12 45 93 123 135 166 253 368 409 370 342 307 272 269 364 575 754 892 918 969 989 839 715 718 684 686 693 701 650 601 598 613 636 656 661 671 692 735 786 797 775 770 765 759 771 803 810 821 1033 1220 1324 1387 1452 1489 1478 1487 1518 1550 1687 1882 1664 1530 1345 1207 1112 788 573 480 444 421 399 401 494 775 1095 1258 1291 1268 1222 1157 1116 1176 1337 1347 1078 855 916 1127 1548 1940 2082 2005
1 3 3 4 4 4 5 6 6 6 6 5 4 3 2 1 1 0 1 3 5 5 5 4 6 7 8 9 12 16 21 32 55 80 103 112 104 99 111 147 175 150 217 266 459 582 698 804 899 986 1033 1060 1089 1109 1142 1133 1088 1014 965 945 908 820 682 537 385 260 166 97 68 50 38 29 24 22 22 23 25 23 14 15 21 20 15 14 16 13 19 19 16 15 12 5 9 6 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 2 6 24 45 55 70 95 106 101 109 134 189 254 312 360 423 477 531 627 703 809 900 1019 1079 1203 1314 1422 1477 1484 1538 1579 1571 1597 1628 1633 1624 1613 1591 1531 1459 1370 1254 1132 1049 1000 972 934 910 906 893 841 796 756 730 731 717 703 704 704 705 725 765 818 875 922 973 1053 1131 1204 1300 1365 1396 1412 1410 1467 1571 1782 1863 1766 1757 1944 1991 2020 2068 2106 2000 1524 810 307 152 170 166 107 65 50 55 51 17 0 0 0 0 1 1 2 2 5 10 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 2 7 18 36 48 56 67 89 107 133 195 230 188 186 235 283 309 339 408 561 823 1091 1216 1173 1038 863 696 579 495 434 405 367 286 195 147 117 113 81 79 73 97 112 73 73 74 86 91 71 60 59 57 54 56 64 78 82 89 90 102 115 107 92 59 37 33 27 14 6 0 2 17 93 336 510 366 418 408 292 251 264 310 356 402 417 406 428 536 681 838 1032 1207 1328 1421 1453 1387 1311 1249 1057 770 516 375 448 656 841 942 793 848 897 814 783 736 681 672 596 573 468 366 317 302 320 343 383 484 670 955 1263 1458 1567 1651 1608 1411 1175 994 899 888 907 880 832 857 941 1026 1064 1168 1254 1211 1376 1533 1719 1700 1557 1552 1532 1641 1887 2005 2031 2045 2112 2177 2151 2150 2127 2073 1953 1842 1703 1536 1364 1206 1133 1084 1041 1004 983 967 943 898 848 783 714 687 674 640 585 537 502 474 435 359 287 221 117 42 28 22 19 14 21 18 12 4 0 4 7 8 4 2 3 12 56 117 148 162 198 256 304 314 337 347 336 279 276 324 488 637 781 859 1012 1067 931 793 702 675 665 633 634 664 681 690 673 688 706 698 688 692 738 807 806 787 804 790 772 775 807 834 890 1096 1294 1410 1494 1553 1582 1555 1483 1425 1405 1360 1620 1587 1561 1583 1172 859 647 517 438 417 423 460 509 570 768 1060 1213 1280 1275 1214 1136 1092 1186 1350 1255 1028 907 1204 1528 1587 1653 1734 1781
1 2 3 3 3 4 5 5 5 6 6 6 6 6 5 3 2 1 1 1 2 2 3 4 5 5 6 9 8 11 15 19 31 50 78 94 104 111 113 128 164 161 146 199 368 458 571 677 769 869 955 1015 1042 1064 1116 1131 1073 989 950 955 942 889 796 658 499 350 234 151 106 69 51 41 35 31 29 28 29 28 21 19 22 25 24 25 26 22 22 22 25 25 15 10 17 9 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 2 12 32 55 82 97 97 106 131 168 220 285 321 367 431 490 568 655 752 849 978 1048 1131 1245 1336 1402 1432 1467 1509 1528 1550 1564 1570 1583 1574 1536 1472 1391 1295 1182 1069 978 905 861 828 777 751 732 674 630 598 578 594 588 585 589 595 599 616 652 705 770 830 891 972 1059 1142 1233 1301 1335 1361 1384 1451 1561 1700 1955 2077 2086 1717 1393 1264 1388 1595 1599 1196 610 249 169 223 255 215 138 78 58 41 9 0 0 0 1 4 6 7 13 36 58 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 2 8 6 11 27 44 55 57 80 123 167 178 172 144 204 349 466 518 596 697 828 996 1169 1265 1209 1045 858 690 575 499 449 427 402 343 269 216 181 154 117 95 78 79 63 46 43 36 33 29 22 14 12 10 9 5 6 12 14 16 14 15 19 18 17 10 3 2 2 1 0 0 0 1 16 111 250 231 262 285 309 346 408 520 623 685 691 645 617 684 816 960 1099 1206 1293 1371 1421 1439 1397 1317 1171 874 509 297 296 316 408 762 820 781 694 644 594 540 487 469 442 413 357 278 220 210 218 221 238 281 380 601 912 1186 1385 1548 1655 1612 1424 1211 1045 948 950 962 905 804 874 966 1045 1149 1225 1201 1273 1419 1541 1547 1542 1621 1697 1767 1829 1837 1789 1766 1814 1821 1771 1763 1767 1727 1649 1550 1416 1284 1146 1045 998 983 960 937 931 939 954 936 868 792 748 729 724 719 643 465 365 431 375 242 160 89 29 13 8 5 3 1 0 3 5 6 2 0 7 26 33 29 35 50 82 141 166 175 192 212 246 271 310 349 359 315 322 380 472 560 686 767 876 909 874 818 768 734 727 733 719 771 781 718 679 670 663 664 677 693 701 764 796 785 792 791 793 803 829 872 948 1067 1221 1331 1410 1465 1505 1517 1528 1467 1395 1294 1323 1364 1274 1233 1032 860 701 549 477 466 487 531 572 610 697 876 960 1105 1296 1220 1191 1189 1324 1489 1318 1222 1306 1604 1753 1603 1412 1384 1368
0 1 2 3 4 5 5 5 5 5 5 5 6 6 6 5 5 1 0 0 1 1 1 3 4 5 5 7 7 8 11 14 21 31 53 76 94 106 114 124 134 146 146 184 279 362 446 546 639 734 836 948 992 1039 1026 1026 959 937 935 932 941 942 879 754 604 457 328 230 165 108 75 57 48 43 39 36 36 35 28 24 23 24 24 24 24 26 26 25 27 21 20 21 20 12 6 3 0 0 1 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 1 12 37 67 85 91 93 105 134 180 231 275 331 386 452 532 617 705 803 917 1020 1068 1200 1281 1317 1362 1394 1423 1463 1487 1489 1499 1520 1513 1471 1406 1321 1216 1103 993 893 801 742 718 674 638 604 547 520 500 491 502 493 497 506 515 523 538 566 609 670 734 802 887 979 1071 1164 1236 1286 1326 1363 1437 1551 1714 1875 1936 2046 1647 1199 961 1024 1225 1247 904 479 289 299 361 346 240 119 50 31 22 11 7 5 2 1 3 7 10 21 54 41 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 3 7 2 7 31 64 70 63 100 143 176 154 143 134 243 440 607 718 855 928 985 1121 1228 1249 1175 1028 866 711 581 487 438 423 413 387 344 292 248 211 176 137 109 86 61 46 34 24 11 4 4 2 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 27 94 133 156 245 347 430 517 668 842 965 1010 988 944 956 1042 1174 1372 1499 1414 1327 1361 1331 1259 1195 1085 726 302 172 157 151 212 412 623 664 543 477 416 365 341 341 333 304 270 217 154 130 137 141 147 163 216 346 541 808 1105 1354 1552 1671 1641 1458 1241 1099 1087 1050 1009 882 898 956 1011 1086 1148 1173 1243 1419 1458 1447 1543 1663 1713 1672 1645 1656 1602 1568 1529 1480 1439 1402 1393 1328 1296 1197 1115 1041 972 919 896 880 873 875 902 939 964 943 869 782 711 676 664 607 396 143 80 92 12 69 48 9 7 5 5 2 0 0 1 4 3 2 2 7 30 76 103 98 112 131 149 172 162 157 151 170 214 248 262 299 337 343 339 379 438 498 613 710 796 887 901 855 862 837 839 880 912 862 758 685 651 615 607 618 643 662 651 667 687 707 733 765 788 802 846 911 948 947 1056 1140 1197 1220 1224 1244 1358 1433 1415 1320 1249 1253 1223 1170 1077 928 772 632 567 556 565 580 591 609 642 686 719 813 922 1108 1209 1274 1384 1459 1441 1447 1528 1606 1566 1355 1215 1214 1156
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1 1 1 2 2 2 4 5 7 8 8 8 7 6 5 5 5 6 7 6 6 6 6 6 5 5 4 4 4 3 3 4 5 6 9 12 13 17 20 22 27 32 39 44 57 75 80 76 77 100 176 293 410 538 679 803 902 984 1027 1032 1012 1011 1029 1027 995 946 880 793 670 518 396 311 246 212 195 185 179 175 166 151 137 127 110 90 79 76 72 66 59 55 52 50 48 46 46 43 43 33 25 21 10 8 5 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 16 9 0 5 28 62 72 83 109 118 135 186 241 272 324 410 553 668 736 767 786 805 839 874 895 912 916 922 990 1039 980 904 819 706 607 524 484 453 411 380 350 340 342 337 341 356 379 405 433 462 488 511 537 553 536 521 524 541 562 579 654 675 696 772 814 889 961 1084 1248 1414 1575 1753 1986 2176 2042 1679 1541 1646 1660 1358 757 298 143 186 278 401 263 98 55 51 98 163 56 6 1 7 10 6 1 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 39 183 227 126 41 41 107 133 132 125 167 172 178 152 143 158 223 310 371 394 521 820 1023 1108 1184 1191 1109 1003 883 752 616 475 352 258 186 134 101 83 73 69 60 50 40 29 22 19 15 6 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 2 29 196 325 430 574 777 969 978 809 816 1004 1068 1108 991 924 712 642 735 795 859 899 794 623 434 292 171 119 113 133 184 250 226 183 170 138 101 80 70 66 65 65 66 67 67 68 75 89 92 98 113 125 172 291 395 487 580 701 769 768 731 672 628 642 676 684 700 744 845 934 973 969 1015 1083 1159 1144 1163 1122 1062 1005 957 923 901 889 867 843 824 785 726 662 598 579 621 651 663 692 693 648 574 518 434 370 340 275 113 28 11 7 3 1 1 1 0 0 0 0 0 1 12 66 134 190 165 146 122 118 117 122 129 124 115 109 102 95 91 92 97 98 94 87 80 76 84 92 94 92 96 113 135 154 168 191 234 319 456 625 794 944 1027 1079 1141 1190 1200 1081 1353 1515 1575 1578 1625 1593 1458 1317 1335 1336 1236 1157 1156 1222 1239 1240 1238 1227 1152 1074 1059 1023 995 971 945 917 943 932 934 976 1016 1014 966 920 900 911 907 828 753 723 758 721 689 671 682 690 716 740 747 757 790 825 816 796 817 881 852 1075 1073 1014 997 1020
1 1 1 2 2 2 3 4 6 7 8 8 8 8 7 6 7 7 7 7 7 7 7 7 6 6 7 6 5 5 4 4 4 5 6 8 10 12 16 18 20 24 29 33 38 45 54 56 53 63 111 205 303 407 535 671 811 934 1014 1032 1010 997 1020 1025 1001 965 899 814 714 597 491 405 327 277 247 225 205 193 188 183 174 164 151 131 111 93 80 72 65 61 58 55 51 48 47 43 38 35 31 18 11 11 5 1 0 1 6 7 8 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 13 10 6 9 30 47 58 79 92 109 148 217 253 308 445 583 656 682 693 709 727 754 788 808 830 826 814 857 913 905 856 768 668 563 486 455 443 412 386 354 337 335 327 331 348 371 395 420 443 465 487 521 551 553 554 560 578 594 579 612 645 688 729 754 832 900 1026 1213 1363 1544 1759 1995 2061 1871 1585 1420 1357 1217 910 521 297 270 357 441 547 333 89 27 29 60 173 77 13 1 3 9 11 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 19 82 120 88 41 53 119 145 116 108 130 149 169 153 159 186 264 361 391 388 519 824 987 1065 1142 1113 1013 939 849 700 535 381 266 203 154 111 84 69 59 44 29 24 18 11 8 6 4 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 1 7 124 251 349 482 691 935 990 768 599 722 946 1079 1186 1272 1081 1004 1039 1099 1061 1152 1087 974 760 572 393 292 278 257 262 267 238 218 192 147 104 78 69 65 65 66 67 67 68 70 77 100 108 118 127 124 143 194 275 377 487 610 699 713 674 628 592 569 526 434 449 454 492 566 645 671 701 757 798 848 914 915 901 862 830 814 820 838 841 834 817 778 738 693 613 570 595 641 693 724 673 564 388 377 334 281 255 208 79 13 8 4 4 4 2 2 1 1 0 0 0 3 62 99 122 121 113 98 82 72 73 81 86 87 83 78 78 79 86 103 130 141 128 115 97 91 90 93 92 91 91 98 112 131 143 150 166 213 323 480 612 770 931 1058 1153 1261 1294 1053 1312 1528 1574 1575 1697 1703 1576 1452 1357 1272 1257 1233 1241 1265 1262 1301 1253 1256 1190 1133 1093 1067 1067 1055 1052 1042 995 941 934 993 1062 1020 969 947 932 926 898 835 783 809 856 824 776 777 782 777 798 828 840 845 860 869 830 808 815 845 818 935 1068 1074 1051 1086
1 1 1 2 2 2 2 3 5 6 7 7 7 7 8 7 8 8 8 8 9 9 8 8 8 7 6 6 6 6 5 5 5 5 6 6 7 10 13 16 19 21 25 28 30 31 38 45 42 48 73 136 218 294 388 517 675 834 960 1017 1015 1000 1004 1017 1016 1005 947 869 785 692 610 538 461 392 341 299 255 217 201 198 195 188 179 167 150 126 100 84 76 69 64 60 56 52 48 46 44 39 34 20 15 16 5 0 0 9 15 17 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 21 28 31 14 13 33 47 60 77 93 111 160 231 331 446 526 569 579 589 615 643 675 713 729 756 743 723 738 808 836 795 741 649 544 464 424 406 392 380 353 328 321 316 318 333 353 375 395 410 421 438 462 489 508 523 535 544 551 558 580 626 654 689 717 787 900 973 1154 1259 1511 1759 1951 1856 1614 1371 1166 1002 834 620 418 343 386 464 535 562 383 139 37 21 48 139 84 26 4 0 3 9 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 1 1 3 9 24 37 70 129 174 160 105 83 100 153 212 214 245 281 316 367 352 354 492 789 955 1021 1082 1044 932 857 773 616 443 289 203 190 172 133 97 65 44 22 6 4 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 5 68 172 257 375 598 844 926 746 499 611 1009 1144 1235 1348 1205 1277 1287 1186 1107 1142 1116 1051 843 709 611 517 470 427 383 325 275 248 221 188 138 105 94 76 70 70 71 68 69 70 74 83 91 105 123 129 129 150 212 314 430 548 660 702 661 640 639 604 555 491 378 358 359 402 476 495 500 513 557 605 637 672 711 722 720 724 739 759 776 797 804 787 786 765 679 587 466 445 659 571 349 162 50 110 132 90 78 92 52 11 8 6 8 7 4 4 7 14 8 13 15 27 60 68 78 85 82 69 55 44 42 45 47 49 46 45 53 75 109 152 207 227 190 160 126 104 94 92 92 91 90 96 108 117 119 117 121 145 202 323 452 596 743 886 1010 1107 1221 1261 1360 1500 1612 1662 1673 1663 1578 1457 1366 1418 1393 1395 1374 1330 1262 1210 1196 1191 1171 1154 1124 1104 1098 1111 1135 1146 1119 1064 1048 1081 1095 1077 1065 1052 1033 1015 977 930 918 949 974 962 932 906 904 884 880 893 922 923 912 889 840 817 821 830 823 868 989 1059 1074 1134
1 1 1 2 2 2 2 2 3 4 5 6 6 6 7 8 8 9 9 9 11 10 10 10 9 9 9 8 7 7 6 6 6 6 6 6 6 7 10 13 16 21 25 27 28 29 32 35 34 41 54 76 120 182 265 372 518 696 857 949 973 968 971 992 1017 1024 1003 953 895 831 767 700 627 551 477 411 339 269 226 212 206 202 197 189 174 155 125 101 87 77 71 66 61 56 51 49 47 39 33 27 23 19 7 3 2 14 15 15 16 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 2 9 25 20 29 37 48 66 79 87 105 151 230 320 387 431 453 483 544 594 620 653 650 668 653 638 638 679 700 703 691 619 520 433 381 356 355 357 342 322 311 308 302 312 327 345 359 365 366 370 378 390 404 427 453 475 493 514 552 578 608 658 729 765 918 914 1106 1123 1482 1715 1762 1670 1492 1264 1018 821 681 549 437 406 448 503 527 480 360 194 69 29 31 58 71 48 14 2 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 5 2 0 0 0 0 1 5 5 3 0 3 20 72 172 259 241 155 99 84 107 178 278 345 392 425 433 397 362 393 520 804 946 983 1020 978 896 807 689 535 388 280 231 226 210 163 108 62 37 9 0 0 0 0 3 5 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 5 43 107 194 333 561 865 1029 789 415 455 945 1066 925 965 881 821 818 836 833 764 808 858 796 711 683 655 597 548 498 438 391 344 307 262 201 172 153 108 81 74 75 70 69 70 72 75 80 89 97 111 110 137 195 271 360 445 536 589 565 541 521 494 461 364 214 312 328 353 392 402 406 416 453 503 544 585 617 631 644 660 662 652 673 724 780 829 869 832 695 509 199 158 156 65 50 45 32 18 19 13 15 19 14 13 11 8 7 7 8 14 42 57 42 50 51 49 44 42 46 49 48 45 38 31 25 19 16 19 15 24 40 84 159 250 310 331 284 224 168 128 108 100 96 95 95 97 102 107 102 88 88 108 132 193 290 424 550 681 808 918 1025 1125 1202 1329 1529 1649 1682 1700 1641 1529 1384 1269 1416 1447 1403 1396 1324 1251 1251 1232 1201 1171 1131 1104 1108 1128 1157 1209 1235 1242 1243 1252 1261 1247 1219 1201 1202 1195 1152 1109 1106 1108 1097 1086 1057 1027 1014 998 972 952 984 968 925 909 877 849 855 850 839 838 855 900 959 1064
1 1 1 2 2 2 2 2 2 2 3 4 5 5 6 8 9 9 9 11 12 12 12 11 11 10 10 10 9 9 8 8 7 7 6 6 6 6 8 11 14 18 22 25 27 29 30 30 33 40 47 55 53 76 143 229 346 534 716 833 899 934 944 956 983 1006 1015 1008 991 962 921 871 820 748 654 559 459 357 284 250 234 224 213 199 185 168 146 125 103 87 80 73 67 62 57 53 50 45 38 33 30 26 21 17 14 17 18 20 25 21 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 10 6 10 21 13 20 36 48 61 71 82 102 136 192 253 307 370 467 562 601 603 617 592 581 563 552 563 581 622 627 611 568 490 398 327 304 310 328 327 320 311 304 290 293 300 309 314 314 313 316 324 333 343 356 374 401 432 462 492 537 595 642 717 752 884 874 1062 998 1494 1536 1378 1351 1311 1151 941 796 715 634 548 494 486 492 463 395 335 254 125 45 25 23 33 70 38 7 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 3 20 51 33 1 0 0 0 2 17 42 27 8 1 8 47 133 235 254 187 122 100 103 133 199 299 397 468 517 520 388 307 385 525 784 973 995 966 961 893 772 632 490 376 312 287 272 236 171 102 48 18 4 4 10 17 16 17 17 8 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 1 4 21 56 147 327 577 884 1049 756 366 320 715 677 531 487 427 347 357 420 482 530 603 651 653 655 678 682 656 647 625 584 574 522 448 363 257 227 209 154 111 96 89 74 66 65 69 71 74 76 90 107 95 104 139 183 255 313 369 404 407 395 365 342 341 334 229 297 332 348 351 355 363 379 417 474 531 570 580 579 593 612 619 620 666 702 744 818 864 757 530 299 100 64 56 50 45 36 26 19 14 10 12 16 16 14 11 7 5 5 27 53 75 68 54 51 45 32 18 9 10 19 27 30 24 14 6 3 1 1 3 21 48 114 234 334 380 383 347 286 218 168 144 132 122 117 112 105 103 108 99 81 80 95 117 133 160 246 345 451 566 687 819 940 1038 1200 1417 1574 1704 1761 1714 1639 1589 1693 1678 1602 1542 1507 1502 1516 1482 1419 1365 1302 1260 1214 1196 1213 1212 1240 1272 1330 1385 1412 1456 1460 1410 1374 1376 1413 1455 1425 1362 1323 1244 1203 1184 1161 1107 1082 1049 1029 1032 1020 953 891 885 915 913 864 850 813 784 776 830 908
2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 6 7 8 9 11 12 12 13 12 12 12 12 12 11 10 9 9 9 8 8 7 7 7 9 11 12 15 18 22 25 28 29 30 33 35 37 40 39 34 46 106 198 320 498 636 752 841 879 898 920 945 967 985 999 997 983 966 951 879 793 709 617 517 435 364 308 270 241 219 201 182 162 144 124 105 89 81 74 69 63 58 55 52 47 41 36 31 26 23 22 24 25 27 26 24 23 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 20 24 3 5 11 20 26 35 43 61 81 90 101 139 194 267 384 510 570 580 576 572 554 526 497 470 483 494 519 557 532 494 439 356 275 245 261 282 295 301 304 299 286 281 278 277 274 272 272 273 278 290 316 346 359 379 399 417 445 497 566 633 695 739 836 866 1053 966 1534 1294 1123 1089 1083 984 866 812 799 792 759 667 577 519 453 390 386 369 224 68 21 8 18 76 61 13 2 1 6 4 1 0 0 0 0 0 0 0 0 0 0 0 5 32 66 27 0 0 0 0 5 72 167 84 18 2 8 50 135 220 225 171 136 129 129 154 221 307 391 473 550 511 331 261 349 462 732 984 1041 977 952 883 744 604 477 384 340 319 288 227 146 74 31 16 20 29 39 43 34 26 21 15 12 8 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 1 5 17 34 102 284 560 858 983 716 338 259 484 379 221 190 155 132 138 162 212 265 315 370 432 494 547 597 633 627 602 595 590 562 522 440 341 309 261 200 162 137 126 93 67 64 64 66 75 90 90 94 99 88 85 107 176 231 257 269 287 304 305 265 250 264 287 292 305 315 326 334 337 341 367 426 486 511 504 473 458 473 505 526 552 536 576 597 561 422 249 117 57 42 36 33 31 28 26 25 21 17 15 16 16 13 9 5 5 3 34 34 21 24 20 12 11 9 5 3 3 5 12 15 9 3 1 1 0 0 7 36 83 171 288 383 407 392 358 315 273 236 231 218 196 180 155 130 117 119 112 99 90 95 104 106 106 127 170 231 327 449 577 715 868 1086 1329 1502 1589 1680 1685 1647 1607 1748 1764 1720 1666 1632 1727 1839 1799 1761 1750 1724 1651 1573 1541 1543 1547 1505 1406 1398 1458 1504 1530 1545 1556 1523 1503 1551 1615 1720 1652 1541 1405 1280 1234 1229 1176 1142 1126 1106 1103 1099 1017 945 931 959 948 894 872 850 812 777 774 778
2 2 2 2 3 2 2 2 2 2 2 2 2 3 4 4 6 7 8 10 11 11 12 13 13 13 13 14 14 12 11 11 10 9 9 9 9 9 9 10 12 13 16 19 22 26 28 29 32 33 35 36 36 34 31 36 89 176 275 372 487 631 737 797 834 857 875 892 912 928 933 927 914 881 835 781 725 644 572 502 427 359 304 262 235 213 190 167 147 129 111 97 84 77 72 66 60 58 53 49 43 37 32 30 30 33 34 34 34 32 27 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 20 10 22 17 28 36 34 42 68 84 95 143 218 295 373 422 442 466 488 499 500 480 455 407 394 421 434 475 431 396 360 289 217 194 219 238 246 260 274 284 281 274 265 256 248 243 244 245 255 276 302 336 353 371 389 402 431 478 535 599 656 735 842 893 1075 1067 1497 1375 1103 1025 963 914 885 875 911 1003 1024 910 760 642 533 457 477 483 310 101 35 12 16 51 51 15 7 19 34 19 3 0 0 0 0 0 0 0 0 0 0 0 6 28 42 9 0 0 0 0 3 124 303 150 38 10 4 31 112 236 280 220 176 172 159 181 256 343 444 536 606 530 287 217 248 387 655 923 1034 1017 951 849 722 606 481 388 330 295 256 184 102 49 35 44 63 72 70 56 43 31 25 22 18 15 11 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 8 21 49 126 264 487 809 997 782 315 170 244 135 68 63 49 37 43 54 64 65 98 165 240 327 410 485 541 545 536 523 504 475 424 370 365 349 304 253 216 167 159 123 83 68 64 66 83 114 143 153 145 128 98 98 154 186 195 202 217 237 268 242 216 218 235 256 272 289 307 319 326 331 335 352 376 377 354 290 235 217 301 270 170 71 207 283 157 89 63 40 31 27 24 24 27 28 30 31 29 24 19 17 14 12 11 11 13 23 32 21 9 4 3 4 4 3 3 2 2 2 3 3 2 2 1 1 1 1 18 59 126 213 292 340 369 373 343 323 331 319 327 340 308 291 260 225 182 147 133 115 99 95 91 81 72 70 76 99 156 247 353 471 645 882 1176 1406 1531 1615 1659 1659 1622 1678 1796 1799 1787 1868 1981 2069 2097 2067 2109 2167 2133 2071 2042 2042 2027 1942 1802 1723 1760 1800 1757 1714 1650 1627 1587 1670 1736 1839 1732 1590 1444 1273 1199 1208 1188 1170 1178 1181 1113 1121 1070 1012 996 993 976 929 900 896 857 825 805 765
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2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 3 4 6 8 9 10 11 11 13 15 16 17 17 14 13 12 12 11 11 11 10 10 10 10 11 14 17 21 23 25 26 28 30 31 32 36 36 36 35 41 53 73 124 216 336 481 595 650 669 664 658 654 641 630 642 683 723 732 732 752 761 726 664 592 517 453 404 374 341 299 254 209 182 161 139 117 98 89 83 76 72 67 60 53 48 48 53 73 65 54 49 43 37 29 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 14 5 16 21 21 24 28 48 61 62 52 68 94 123 168 243 337 411 437 433 418 385 348 338 341 329 316 339 340 283 232 174 131 116 137 176 202 218 222 230 241 243 242 233 224 218 220 240 282 291 298 310 322 332 346 383 414 440 499 589 683 792 896 1007 1145 1293 1548 1577 1351 1126 1034 1050 1045 1127 1280 1634 1502 1111 851 716 605 537 543 552 403 199 118 76 51 35 20 9 15 50 96 55 3 0 0 0 0 0 0 0 0 0 0 0 5 10 7 1 0 0 0 0 10 122 296 208 83 42 22 67 145 210 222 190 178 178 170 188 256 317 332 402 575 555 287 247 220 275 439 679 928 1005 872 761 673 644 518 370 265 218 194 155 130 132 147 157 149 126 98 77 63 51 40 34 29 26 24 9 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 5 14 27 50 109 210 353 718 1195 916 229 76 76 51 27 18 13 13 13 12 13 14 21 34 60 115 205 316 423 472 451 422 412 384 410 444 462 437 406 381 319 253 206 156 110 83 72 75 93 129 175 223 268 260 145 104 105 81 66 69 90 110 140 186 180 151 154 173 188 204 218 226 227 213 140 49 51 46 33 31 30 31 31 30 27 22 17 15 15 17 15 12 12 13 16 21 27 33 38 38 38 34 28 28 35 39 36 30 28 27 26 25 21 17 14 11 8 8 9 6 8 7 6 4 2 1 0 1 3 9 31 73 124 171 214 270 317 351 359 377 444 445 510 518 503 499 512 516 465 360 263 193 137 93 92 59 49 50 50 48 51 57 93 156 280 485 775 1097 1363 1519 1583 1606 1625 1650 1665 1688 1738 1766 1799 1850 1860 1812 1857 1912 1895 1841 1843 1905 2007 2089 2177 2263 2257 2274 2259 2267 2279 2127 1968 1863 1737 1644 1550 1446 1396 1334 1299 1287 1243 1216 1193 1156 1141 1125 1122 1148 1161 1150 1110 1040 987 951 951 921 903 869
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3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 3 5 6 8 9 11 12 14 16 16 15 14 13 13 12 11 10 11 11 10 9 9 11 12 15 17 18 20 22 24 26 26 26 28 28 29 28 28 31 40 74 141 226 307 371 394 384 394 408 418 427 425 428 454 501 561 618 676 713 713 695 688 669 636 586 520 468 392 346 283 240 201 171 156 143 131 115 102 97 90 86 91 94 105 84 71 71 70 58 37 23 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 8 7 15 18 14 21 27 40 53 70 96 124 163 219 272 322 357 368 373 373 384 403 370 284 260 305 287 221 159 103 63 62 80 120 156 170 179 184 189 194 196 194 191 192 202 226 255 263 287 327 368 378 337 312 327 353 410 519 653 807 959 1147 1382 1548 1587 1543 1388 1174 1100 1190 1297 1388 1365 1461 1176 786 584 520 457 384 292 197 119 84 78 81 90 70 24 7 18 52 88 34 0 0 0 0 0 0 0 0 0 0 0 1 3 6 5 1 0 0 0 5 47 178 269 155 47 20 17 33 72 145 191 184 142 81 63 101 184 317 470 582 552 402 297 231 197 229 306 452 700 936 943 869 799 733 605 450 350 327 341 350 339 310 280 257 226 191 158 125 95 72 50 38 32 28 24 14 3 0 0 0 0 0 0 0 1 2 1 1 1 0 2 1 1 1 1 1 2 2 2 1 1 1 1 2 4 10 19 30 50 83 152 365 796 953 545 174 77 60 42 25 12 4 1 0 0 0 0 2 10 21 35 63 113 215 334 388 365 332 310 306 311 308 304 305 312 314 299 259 200 153 131 116 102 101 126 166 218 270 297 262 192 127 102 90 76 65 62 78 105 117 116 119 136 151 145 158 151 145 150 154 129 83 35 14 9 7 3 2 1 0 0 0 2 3 4 7 11 14 17 19 25 33 37 37 34 34 32 32 35 38 43 42 36 33 33 36 34 27 23 21 19 17 18 17 15 13 10 7 4 3 3 3 4 7 13 21 47 73 102 139 234 355 436 471 508 569 619 693 759 804 845 832 769 655 597 484 362 255 187 139 117 107 90 70 51 35 26 26 39 80 184 397 699 1011 1308 1473 1542 1576 1593 1611 1630 1672 1716 1753 1780 1772 1771 1777 1771 1742 1661 1600 1564 1577 1645 1691 1732 1792 1851 1875 1887 1886 1847 1807 1780 1673 1519 1423 1407 1426 1454 1452 1434 1414 1378 1327 1287 1261 1235 1191 1162 1154 1140 1122 1133 1149 1118 1080 1053 1025 966
6 5 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 8 10 11 14 15 15 14 14 14 13 12 11 11 10 11 9 8 10 11 11 13 15 17 19 22 23 24 24 25 24 25 26 26 28 30 41 63 96 151 211 255 263 263 270 285 304 319 320 314 333 388 441 488 538 581 621 668 695 692 659 599 547 502 451 356 299 250 210 192 178 162 152 144 139 132 123 118 116 122 105 88 80 70 51 40 25 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 17 19 20 26 33 42 45 47 61 75 92 130 185 228 255 276 316 346 351 359 395 419 340 254 228 192 139 86 38 39 70 109 134 142 154 163 171 175 176 175 174 177 192 214 235 256 297 348 355 344 333 309 312 359 400 490 631 807 994 1230 1421 1486 1475 1430 1296 1135 1142 1349 1539 1529 1341 1174 971 690 522 463 367 253 171 127 96 72 72 86 121 114 45 12 22 55 73 17 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 23 20 7 0 6 49 156 198 79 8 2 4 13 43 93 120 121 88 41 27 86 254 493 664 673 557 396 314 273 205 212 273 358 609 925 999 920 842 773 683 572 487 458 457 447 417 377 340 310 276 235 192 150 107 74 49 37 32 27 23 12 3 0 0 0 0 0 1 1 2 2 2 1 1 0 2 1 1 1 1 2 2 1 1 1 1 1 2 5 10 18 28 40 54 74 153 395 719 747 417 133 79 67 45 29 17 5 0 0 0 0 0 3 9 14 24 40 67 130 235 338 370 345 299 263 242 231 221 221 237 259 269 252 213 177 163 155 136 114 117 151 201 239 271 278 255 165 124 110 102 85 71 71 72 61 51 54 87 157 112 93 108 103 69 57 58 32 11 2 0 1 0 0 0 0 0 0 1 2 2 7 13 16 18 19 28 36 35 32 30 30 31 33 36 41 44 40 36 33 29 27 24 24 21 20 20 18 17 17 15 12 11 9 7 5 3 3 3 5 11 15 31 49 86 139 288 464 588 626 625 642 665 711 798 861 931 920 891 772 676 552 440 340 269 225 187 155 130 103 75 50 32 25 27 39 80 212 502 762 1041 1258 1417 1513 1548 1569 1600 1637 1674 1692 1676 1665 1673 1689 1719 1731 1733 1693 1657 1654 1681 1685 1669 1692 1735 1749 1739 1692 1624 1591 1611 1597 1510 1439 1404 1425 1451 1457 1450 1444 1433 1395 1345 1312 1305 1256 1218 1186 1148 1139 1145 1166 1193 1177 1134 1088 1031
10 9 6 4 4 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4 4 6 8 9 11 13 14 14 14 14 13 13 12 12 11 11 10 9 9 10 9 11 12 14 17 20 22 24 25 24 24 24 25 25 25 28 31 33 38 64 93 127 151 165 174 185 205 228 237 225 211 219 269 325 358 393 463 558 635 664 646 599 556 533 507 436 366 308 252 226 213 200 196 190 188 184 176 167 159 144 117 96 84 69 50 44 31 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 18 26 29 35 54 59 59 67 70 74 97 123 143 201 297 367 412 448 416 370 367 409 384 281 168 98 59 28 33 71 107 111 115 119 131 143 150 153 155 156 164 180 196 214 245 289 325 335 350 336 313 318 363 425 558 688 925 1100 1335 1442 1431 1391 1343 1234 1119 1155 1360 1516 1441 1202 984 846 686 537 449 304 179 124 114 106 83 79 99 150 154 85 33 32 50 47 8 0 0 0 0 0 0 0 0 0 0 0 0 1 13 37 65 62 22 0 5 43 134 131 25 0 0 0 2 12 33 63 71 50 21 17 79 246 433 532 566 545 427 310 315 226 198 271 324 543 913 1066 975 858 790 767 693 605 569 558 535 496 448 408 377 335 284 224 167 110 71 45 35 30 26 21 7 0 0 0 0 0 1 1 1 2 2 2 1 1 2 2 1 1 1 2 2 1 0 0 0 1 1 3 7 15 25 35 46 61 91 175 329 462 395 210 96 78 66 47 31 21 11 5 2 2 1 0 1 5 10 17 25 40 71 142 261 366 361 300 248 208 178 161 164 187 211 226 228 212 191 188 189 176 132 98 118 174 202 232 244 233 191 152 129 120 91 60 53 52 49 41 36 45 92 50 28 32 21 7 3 1 0 0 0 0 0 0 0 0 0 0 0 2 5 6 10 14 19 21 26 33 35 34 32 31 31 33 35 37 38 38 36 36 34 27 27 28 27 28 28 26 25 25 25 22 20 19 16 12 11 8 5 6 9 10 12 21 45 88 172 365 625 810 816 737 722 726 764 863 964 1008 955 929 867 743 609 505 418 351 304 268 238 201 156 113 75 47 34 28 27 36 102 332 530 734 968 1209 1389 1487 1528 1543 1575 1620 1640 1629 1610 1608 1625 1648 1680 1707 1705 1679 1657 1650 1667 1670 1671 1696 1676 1611 1556 1468 1381 1340 1312 1257 1279 1318 1352 1387 1417 1439 1430 1414 1381 1377 1374 1374 1328 1271 1205 1153 1137 1140 1142 1144 1154 1130 1085 1036
14 13 11 9 8 7 4 3 3 3 2 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 5 6 9 10 12 13 15 15 14 14 13 12 12 11 10 10 9 9 10 12 12 12 15 18 20 23 24 24 24 25 26 27 27 26 26 25 24 32 39 55 76 90 99 110 134 160 172 162 139 128 134 178 217 227 300 416 535 588 582 550 531 529 519 485 438 381 315 271 250 239 235 229 225 228 219 208 196 179 143 115 99 76 56 45 36 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 6 17 29 36 45 57 72 84 81 72 81 99 146 219 299 349 362 403 457 596 584 495 444 265 102 52 38 31 54 86 104 98 98 94 102 114 124 129 134 135 148 157 171 200 233 269 318 349 331 291 264 260 312 430 574 791 1066 1157 1379 1429 1353 1264 1233 1214 1181 1180 1225 1232 1130 966 834 783 711 609 499 300 151 111 121 143 126 97 99 134 151 122 75 46 36 22 4 0 0 0 0 0 0 0 0 1 0 0 0 3 17 22 30 36 16 0 4 52 163 146 44 8 1 0 0 1 4 17 20 14 8 10 41 153 288 366 470 587 491 290 340 236 172 284 346 507 737 1000 988 866 795 804 772 710 672 655 636 595 544 508 463 411 340 257 181 108 61 48 34 28 23 10 2 0 0 0 1 2 2 3 3 2 2 1 1 1 1 2 1 1 2 2 1 0 0 1 2 2 3 5 9 17 26 39 58 82 131 171 225 258 203 130 90 77 64 49 35 25 17 13 10 7 3 1 2 4 7 12 17 25 39 75 167 307 351 308 241 180 138 123 128 149 176 190 189 186 182 192 199 195 138 93 90 125 160 191 215 217 198 166 135 107 76 50 36 28 28 30 27 19 15 14 10 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 20 29 27 36 43 45 41 36 34 34 35 38 40 40 38 39 37 37 37 34 31 32 34 33 33 32 32 33 33 33 30 26 23 22 17 16 11 7 7 8 9 11 19 52 122 264 518 873 1106 1007 838 777 766 835 970 1027 1055 1013 986 932 830 698 582 497 432 391 367 341 304 241 165 108 74 52 39 33 31 55 185 360 512 695 962 1158 1307 1392 1423 1452 1509 1538 1546 1550 1551 1555 1575 1613 1652 1674 1684 1678 1678 1691 1678 1679 1695 1668 1618 1558 1477 1377 1262 1182 1155 1177 1217 1240 1270 1336 1380 1366 1365 1357 1371 1388 1387 1355 1317 1274 1229 1211 1199 1185 1138 1088 1075 1038 982
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70 75 78 86 94 97 99 100 107 109 107 100 99 115 133 140 148 162 168 173 186 204 210 206 207 205 211 211 209 209 201 181 157 141 132 126 118 110 103 98 95 98 105 114 126 134 144 153 165 174 180 182 179 168 150 129 111 97 84 73 66 59 50 44 40 37 39 47 58 68 75 81 84 86 87 86 85 85 85 87 88 88 84 82 78 75 73 65 50 34 22 14 13 12 13 11 8 5 4 5 4 1 0 1 3 4 2 1 3 3 3 5 6 6 7 19 41 60 60 42 18 3 0 0 0 0 0 0 0 0 0 0 1 32 587 1515 2088 2215 2287 2286 2275 2256 2332 1946 1351 763 316 90 27 14 20 44 73 78 58 32 12 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 1 5 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 1 14 77 223 162 88 38 18 13 18 36 77 151 250 295 256 199 151 103 57 24 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 20 25 33 99 298 483 603 642 706 850 937 920 798 503 306 161 61 20 12 8 6 12 17 16 13 12 12 12 12 11 10 9 11 14 16 19 21 25 30 38 44 46 48 51 53 48 41 34 31 31 35 45 58 72 81 86 90 90 81 67 52 39 28 21 18 18 19 22 24 30 37 39 38 34 31 29 27 23 21 21 20 17 14 12 11 10 8 7 5 3 2 2 2 2 3 3 4 4 4 4 5 6 7 9 13 14 14 14 15 15 15 12 9 7 5 3 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 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 0 0 0 0 0 0 0 0 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 1 2 3 4 4 3 3 3 5 7 7 7 7 7 9 11 16 20 24 33 40 44 48
83 89 90 93 98 101 100 99 100 105 107 100 101 115 128 133 137 146 157 169 182 196 211 216 210 200 196 195 198 202 193 171 149 134 125 120 113 105 102 99 96 97 105 115 124 129 140 152 158 169 182 193 195 185 165 140 118 99 81 70 62 55 48 42 39 40 44 53 65 76 85 89 92 94 92 88 87 87 88 90 90 89 87 85 82 78 76 66 53 40 29 19 14 12 11 11 9 7 6 6 6 3 0 1 3 4 1 0 1 3 1 2 4 5 7 21 41 55 52 33 11 0 0 0 0 0 0 0 0 0 0 5 30 301 1402 1920 2106 2194 2179 2134 2111 1994 1945 1125 472 176 56 18 9 10 18 38 63 77 61 36 15 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 1 0 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 12 58 93 51 28 15 10 14 28 57 99 153 213 244 212 159 113 71 36 15 6 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 1 5 54 176 269 321 460 702 875 854 795 755 654 491 301 145 55 25 16 20 42 35 21 18 16 16 15 13 13 11 10 10 13 17 19 22 25 30 38 45 50 55 57 56 48 38 34 36 41 45 64 98 125 124 98 104 95 82 67 52 38 28 23 21 21 22 24 28 35 41 41 39 33 28 23 18 14 12 12 11 10 9 9 8 6 5 4 6 4 1 1 0 0 1 1 2 2 2 3 4 6 7 8 11 15 16 16 16 16 15 11 8 5 3 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 2 2 3 4 4 4 3 3 4 6 7 8 7 7 8 10 17 20 29 38 44 47 51
99 104 103 99 102 107 105 99 99 100 103 107 110 113 127 139 142 140 144 155 170 186 193 202 203 194 184 181 181 184 186 174 152 135 121 110 102 99 99 100 100 103 113 119 119 119 123 132 136 151 171 190 201 197 179 155 130 109 86 69 59 52 47 44 45 47 55 67 80 92 99 102 102 102 99 94 90 89 90 91 91 88 85 85 82 79 76 68 58 48 36 24 16 13 12 11 9 6 5 6 6 4 0 2 5 4 1 0 0 1 2 1 3 5 8 18 33 45 41 24 7 0 0 0 0 0 0 0 0 1 10 77 388 1498 2187 2063 2097 2068 1745 1690 1804 1710 1496 666 95 27 9 4 4 8 17 31 46 55 47 27 8 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 5 10 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 4 14 17 10 7 5 7 18 42 76 111 142 170 181 158 123 86 49 24 11 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 32 84 110 144 312 602 811 775 589 450 462 446 288 142 99 114 139 170 188 145 93 58 33 27 24 21 18 15 14 14 15 22 22 24 26 34 46 55 61 65 65 60 51 41 36 46 53 66 99 147 178 176 159 138 108 85 67 50 37 29 26 26 26 26 29 35 40 43 42 38 31 22 15 8 6 4 5 3 4 5 5 4 3 2 2 4 4 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7 10 13 16 17 15 13 9 6 3 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 2 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 2 2 4 5 4 3 3 3 4 6 8 7 7 8 11 16 22 31 41 47 53 63
110 113 113 109 109 114 116 116 111 103 99 102 109 116 126 137 148 151 141 133 135 145 155 162 170 171 167 158 154 156 160 161 151 135 119 106 96 94 97 95 93 97 109 115 114 113 110 109 121 136 158 181 198 203 191 169 144 119 90 71 62 55 50 50 54 64 79 89 97 105 111 113 112 108 103 97 92 88 90 91 93 92 87 85 82 79 75 69 58 49 41 30 19 14 13 13 12 9 7 6 6 4 4 4 4 4 0 0 0 0 0 1 3 6 9 17 26 31 28 17 5 0 0 0 0 0 0 0 0 6 77 521 1414 2408 2181 1835 1684 1220 717 983 1424 1414 987 384 25 3 1 1 3 8 17 25 34 36 29 16 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 2 8 12 5 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 2 5 6 4 3 8 23 54 87 112 129 142 143 123 91 59 30 15 7 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 16 37 50 88 220 427 574 541 371 228 187 148 90 51 148 231 332 479 505 423 330 235 153 101 63 43 35 32 27 19 19 28 28 30 28 39 57 72 79 79 73 67 61 54 44 55 67 101 147 180 193 190 182 164 130 99 73 52 37 30 29 30 31 32 36 40 43 43 41 35 25 14 6 2 1 1 1 0 2 2 2 2 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 11 14 15 14 9 6 3 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 2 6 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 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 4 3 3 3 3 4 7 8 8 9 12 16 22 32 42 47 59 70
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48 55 59 65 70 73 76 79 82 90 96 103 115 126 135 142 151 164 180 197 220 234 257 270 273 268 258 251 248 248 250 274 319 363 383 391 412 435 457 481 505 520 519 528 527 503 487 465 434 395 352 317 288 270 259 254 259 273 265 231 202 199 204 203 194 186 182 176 170 167 180 213 236 241 296 324 322 317 322 335 356 391 426 449 463 463 452 461 470 505 599 648 650 631 602 557 499 442 380 310 241 210 212 197 194 149 116 102 103 119 162 237 312 335 332 322 313 293 243 176 131 110 107 114 120 121 115 104 84 56 29 10 2 1 0 0 0 0 0 0 0 0 0 5 19 41 64 84 100 103 84 57 24 7 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 0 0 0 0 0 0 0 0 0 1 6 29 57 65 57 48 45 45 44 40 31 20 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 24 34 47 49 46 47 48 47 46 46 35 26 22 22 26 32 31 34 34 40 47 56 68 80 86 87 92 95 97 98 100 97 92 86 82 83 83 85 96 109 121 130 140 141 140 137 137 143 150 155 160 163 162 158 157 163 163 164 168 173 179 184 190 198 200 201 204 208 211 213 220 233 248 253 250 246 249 249 254 270 294 308 313 321 333 347 356 351 342 327 307 292 283 278 279 283 281 278 274 270 264 261 258 248 236 224 211 200 193 186 178 177 175 169 164
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23 28 34 43 51 57 66 76 88 100 112 125 139 153 169 178 177 175 179 183 187 192 202 218 236 252 270 267 245 227 224 227 223 230 264 305 322 319 311 301 269 234 225 229 235 236 232 227 214 206 202 191 174 158 140 131 129 108 69 56 79 94 110 122 129 137 148 154 155 159 177 208 249 317 436 487 485 457 432 425 442 478 515 542 552 531 481 411 330 218 112 52 37 46 56 52 41 50 57 50 31 19 31 82 90 65 33 13 21 59 135 176 184 183 175 166 172 192 228 252 232 179 118 71 37 22 9 2 0 0 0 0 0 0 0 1 3 12 36 82 132 143 130 113 96 75 58 32 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 29 32 20 22 28 29 28 27 28 34 41 53 61 60 55 52 50 44 30 15 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 23 40 55 57 60 65 69 75 81 85 91 100 96 97 102 108 111 96 113 126 123 109 97 101 129 140 142 135 126 124 129 132 129 124 120 117 115 111 110 111 117 122 129 139 150 161 173 186 198 213 228 245 261 277 291 305 311 315 327 346 369 390 397 408 402 401 418 439 464 491 518 546 565 563 556 588 636 677 705 725 740 738 749 765 769 752 712 672 664 674 673 656 627 591 550 510 470 441 420 393 374 376 379 365 355 360 365 361 338 301 305 317 322 315
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11 16 20 21 24 34 48 56 71 85 97 108 120 130 135 134 134 135 139 141 150 160 168 174 178 183 192 193 213 235 243 238 219 204 196 193 195 209 241 282 276 255 236 223 213 199 176 158 147 133 111 80 49 28 14 6 4 4 5 4 1 0 0 0 1 6 45 111 168 198 217 263 364 425 422 423 413 383 357 336 320 318 323 311 284 271 284 289 227 151 86 47 29 22 29 49 68 55 27 14 12 7 12 39 72 90 80 51 26 7 0 0 0 1 9 26 45 56 65 79 103 129 132 92 50 23 9 2 0 0 0 0 0 1 5 17 45 89 129 175 230 264 235 157 90 47 27 16 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 14 28 41 50 64 86 114 130 125 115 108 85 58 39 28 19 12 9 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 50 63 72 73 74 77 77 76 76 72 69 69 72 74 81 89 98 110 114 119 116 113 113 113 111 109 119 136 151 163 172 177 178 180 185 189 192 196 206 214 223 234 246 258 271 283 298 313 327 340 354 365 374 378 389 408 423 431 428 414 431 461 495 533 572 610 640 671 660 638 640 670 713 751 776 785 794 812 831 831 805 777 750 735 720 699 684 679 708 742 752 715 647 580 530 507 508 503 490 486 507 557 559 534 503 474 440 391 332 280 240
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