Vorticity
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nan 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 7 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 8 9 10 9 8 8 8 7 7 7 7 7 7 7 7 7 8 10 11 10 8 7 7 8 8 9 10 10 9 8 7 6 6 5 5 5 6 6 7 7 7 6 6 5 3 3 3 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 7 7 7 8 7 7 7 8 8 7 6 6 6 7 7 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 10 11 10 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 10 8 7 7 7 7 8 9 10 10 10 9 7 6 5 5 5 6 6 7 7 7 6 6 5 3 3 3 4 5 6 7 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 10 10 10 9 8 7 6 6 6 6 7 7 7 7 8 9 10 10 9 8 7 7 7 7 8 9 10 11 10 8 7 6 5 5 6 6 7 7 7 7 6 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 7 7 8 7 7 8 8 7 7 7 7 8 8 7 6 6 6 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 7 7 8 9 10 10 9 8 7 8 8 8 9 10 11 10 9 8 6 6 6 6 6 7 7 7 7 7 6 5 5 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
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nan 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 10 10 11 11 11 11 11 11 12 11 11 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 8 10 11 11 10 9 8 8 8 9 9 8 8 8 7 7 8 9 10 10 10 9 9 9 9 9 8 8 6 4 4 6 8 9 9 9 10 10 8 8 10 13 14 13 11 10 9 9 8 8 8 9 10 10 10 10 11 11 11 12 12 13 12 12 12 11 10 10 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 10 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 7 8 9 10 11 10 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 6 4 4 5 7 9 10 10 9 8 6 7 10 12 12 10 8 8 8 8 8 9 10 11 11 12 13 13 13 13 13 13 14 14 14 14 13 12 12 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 9 8 7 7 7 7 6 6 7 7 7 7 8 10 11 11 10 10 10 11 11 10 10 9 9 9 9 10 11 11 10 9 9 9 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 7 7 7 8 9 10 11 11 10 9 10 12 12 10 8 7 8 8 9 10 11 12 12 13 14 15 15 16 15 15 15 15 15 15 15 14 13 13 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 12 13 14 15 15 15 14 11 8 7 7 6 6 5 5 6 6 7 8 10 11 10 9 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 9 10 10 11 10 10 9 9 9 9 8 8 7 8 8 8 7 7 7 8 9 9 9 8 8 8 9 11 12 12 12 13 14 14 12 11 11 11 12 12 13 13 13 14 14 15 15 17 18 17 16 15 14 14 14 14 14 13 13 12 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 11 12 13 15 17 20 22 23 23 21 18 14 11 10 9 8 6 5 6 6 8 9 10 11 10 9 8 8 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 7 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 8 7 7 8 8 9 9 9 9 9 9 10 11 12 13 15 16 15 14 14 14 15 15 16 16 15 14 14 14 14 15 16 17 16 14 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 13 15 17 19 22 24 26 26 26 24 22 19 17 15 13 10 8 7 7 8 9 9 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 8 9 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 10 10 9 8 7 8 8 9 9 9 9 9 9 10 11 11 11 12 12 12 12 13 14 15 16 16 16 15 14 15 14 13 13 14 13 12 10 10 11 12 12 12 12 12 12 12 nan
nan 11 11 12 12 11 11 11 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 14 14 13 11 11 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 12 15 16 17 17 17 17 18 19 21 22 22 22 21 19 18 17 15 12 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 10 9 9 10 9 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 9 9 10 11 12 13 13 13 13 14 15 14 13 12 13 13 12 12 12 13 14 14 13 12 12 11 11 nan
nan 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 12 14 16 17 17 15 13 12 11 10 9 8 8 9 9 9 9 9 8 8 7 7 7 6 6 6 7 8 8 9 9 9 9 10 9 9 8 8 9 11 12 12 12 11 11 10 11 12 14 15 16 17 18 19 20 21 20 18 17 15 14 11 9 8 9 9 10 11 11 11 10 9 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 9 9 9 9 9 11 12 12 11 11 10 9 9 9 10 10 11 11 10 10 9 9 10 10 11 11 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 9 10 11 10 10 9 8 8 8 9 10 10 10 10 10 11 12 13 12 12 13 14 14 13 12 11 12 12 12 11 10 10 10 10 nan
nan 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 12 14 17 17 17 16 15 15 14 13 11 10 9 9 9 9 9 8 7 6 6 5 5 4 4 4 5 6 6 7 7 7 8 8 8 8 6 5 3 2 2 3 5 6 7 7 8 8 9 9 10 10 11 13 15 17 20 22 24 24 23 21 18 14 12 11 10 10 10 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 10 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 10 8 8 7 7 8 9 10 11 12 12 10 8 8 8 9 10 10 10 10 10 10 10 10 10 11 12 12 12 9 6 4 5 6 7 7 8 9 10 10 nan
nan 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 14 16 17 17 16 15 15 15 15 14 13 12 10 9 8 7 7 7 6 5 5 5 5 4 4 5 5 6 6 6 6 5 6 6 6 6 5 3 -0 -3 -4 -4 -3 -1 1 3 5 7 8 9 10 10 10 10 11 13 14 16 18 21 23 23 23 21 19 17 15 12 10 10 10 11 12 12 11 10 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 11 8 7 6 6 8 9 10 12 13 13 11 9 8 9 10 10 10 10 10 10 10 9 9 9 10 10 9 7 3 0 0 2 4 6 7 8 9 10 10 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 16 15 14 14 15 15 15 15 14 12 10 8 6 7 7 7 6 7 7 8 8 8 8 8 8 7 6 6 5 5 5 5 6 7 8 6 3 1 -1 -2 -3 -3 -2 -1 0 2 4 7 9 10 11 11 11 11 11 11 12 13 15 18 19 20 22 22 21 17 13 11 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 9 10 11 11 11 11 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 11 9 7 5 5 7 8 9 12 13 12 11 9 9 9 11 11 10 10 10 10 9 9 9 9 9 8 6 2 -1 -1 2 5 7 8 9 9 10 10 10 nan
nan 11 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 12 14 15 14 14 14 14 15 15 15 14 13 11 10 9 8 9 8 8 8 8 9 10 11 11 11 10 9 8 7 6 6 7 7 7 7 9 10 10 9 8 7 6 4 4 3 4 3 0 -0 1 4 7 9 11 11 11 11 11 10 10 10 12 13 14 17 20 21 20 19 17 16 15 15 14 12 11 11 11 10 10 9 9 9 9 9 9 9 8 8 9 11 12 12 11 10 8 8 8 9 9 9 9 9 10 9 9 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 11 12 11 9 6 3 4 5 7 10 11 11 10 9 9 9 10 11 11 10 10 10 9 9 9 9 9 9 6 2 -2 -3 -0 4 7 8 9 10 10 10 11 11 nan
nan 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 12 14 14 14 13 13 13 13 13 13 12 11 11 11 11 11 10 9 9 9 10 10 11 11 11 10 10 9 8 7 7 7 8 8 8 9 10 11 11 12 12 11 11 10 11 12 14 12 7 3 -0 -1 1 4 7 10 11 11 10 9 9 9 9 10 10 11 14 16 17 18 19 20 20 20 18 15 12 11 11 11 10 10 11 11 11 11 10 8 8 8 9 10 11 11 11 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 12 12 12 12 11 10 9 9 10 11 11 9 4 2 2 4 8 10 10 9 8 8 8 10 10 11 10 10 10 10 10 9 9 9 8 5 0 -3 -4 -2 2 6 8 9 9 10 10 10 11 11 nan
nan 10 10 9 8 8 8 7 7 8 8 9 9 9 8 8 8 8 7 7 7 9 12 14 14 13 12 12 12 11 11 11 10 10 10 11 11 10 9 8 8 9 9 10 10 10 9 8 8 9 8 8 8 8 8 8 8 9 10 11 11 12 11 11 10 10 11 14 17 17 15 11 5 0 -1 -1 1 4 7 8 8 7 7 7 7 8 8 9 9 10 11 13 14 17 19 21 21 18 16 14 12 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 9 10 11 12 12 11 9 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 9 9 8 9 10 11 8 4 2 3 6 9 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 8 4 -1 -2 -1 1 5 8 9 9 10 10 10 11 11 11 nan
nan 10 10 9 8 8 7 7 7 8 9 9 10 10 9 9 9 9 8 7 8 9 11 12 12 12 11 11 11 10 10 10 9 8 9 10 10 9 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 5 7 10 13 14 14 10 6 2 -1 -2 -2 0 3 4 4 4 4 4 5 6 7 7 7 8 8 10 11 13 16 18 19 19 18 15 11 9 10 11 11 11 11 10 10 10 10 9 8 8 8 8 8 8 10 12 13 14 13 11 9 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 9 8 7 8 10 10 7 5 4 4 8 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 7 5 5 5 5 7 8 9 10 10 10 11 11 12 12 nan
nan 10 9 9 8 8 8 8 8 9 10 11 12 11 10 9 9 10 9 9 8 8 9 9 10 11 11 11 10 10 10 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 5 2 -1 -2 1 5 8 10 10 9 7 5 0 -3 -3 -3 -1 -0 -0 0 1 2 3 3 3 4 5 7 8 8 9 11 13 16 18 18 17 14 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 10 11 13 13 11 9 8 7 9 10 10 10 10 10 10 9 9 9 8 8 9 9 7 6 6 8 10 10 8 6 5 6 8 10 10 11 12 12 11 11 9 8 8 9 9 10 11 11 11 11 10 10 10 11 11 8 6 6 7 8 10 10 11 11 12 12 13 nan
nan 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 10 11 10 9 8 8 8 8 9 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 9 8 9 9 10 10 10 10 10 10 9 7 5 1 -2 -2 -0 3 6 8 10 10 10 9 6 3 1 -0 -1 -1 -1 -0 -1 -0 1 2 1 1 2 4 6 7 7 8 9 10 12 15 16 16 15 13 11 9 8 7 7 6 7 7 8 8 8 9 9 9 9 9 11 11 9 8 7 6 7 9 10 10 10 10 10 10 9 8 8 8 8 9 8 6 5 6 9 10 10 9 7 6 7 8 9 10 12 12 12 12 11 9 8 9 9 10 11 12 11 11 11 10 9 10 11 8 5 3 4 6 9 10 11 12 12 13 13 14 nan
nan 8 9 10 10 9 9 9 9 10 10 10 9 9 8 8 9 11 12 12 11 11 11 10 9 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 9 9 9 8 8 7 5 4 5 6 7 9 10 11 11 10 10 9 8 7 7 5 4 4 4 4 4 4 4 2 1 1 2 4 5 6 6 6 6 7 9 12 16 19 17 13 9 7 6 6 8 10 10 9 8 8 9 10 10 10 10 10 9 8 7 6 5 6 7 8 9 9 10 10 9 8 7 7 6 7 8 8 7 6 7 10 11 11 9 8 8 8 8 8 10 11 11 11 11 10 10 10 9 9 11 12 12 12 11 11 10 9 9 7 3 1 -0 2 7 10 11 12 13 13 14 14 14 nan
nan 8 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 12 13 14 13 12 12 10 9 8 7 7 7 8 8 7 7 7 7 6 6 6 7 8 9 10 9 9 9 10 11 10 10 9 9 9 9 9 8 8 9 9 9 8 7 7 7 8 8 9 9 9 9 10 10 13 14 12 11 9 9 9 9 9 9 8 7 7 7 8 8 7 6 5 4 3 3 4 5 5 5 5 5 7 10 14 18 17 13 8 5 5 7 11 13 12 10 8 8 9 10 11 12 11 10 9 7 7 6 6 6 7 7 7 9 10 9 8 7 7 7 6 7 8 9 9 9 9 11 11 11 10 9 9 8 7 7 8 9 9 11 11 11 11 11 10 10 11 11 11 11 11 10 9 9 8 6 3 2 2 5 9 10 12 13 13 14 14 14 13 nan
nan 9 10 11 11 11 10 9 7 7 7 8 9 10 11 10 11 12 13 14 14 13 10 8 7 7 7 7 7 7 7 7 7 7 7 5 3 3 5 7 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 7 6 7 8 9 10 10 10 9 8 9 13 16 16 14 11 9 8 8 9 9 8 8 8 8 8 8 8 8 9 8 7 6 6 7 7 7 7 6 7 9 12 13 12 9 6 5 6 9 13 13 12 10 9 9 10 11 12 12 11 9 8 7 6 7 7 8 8 8 8 9 9 9 8 7 7 7 6 7 8 10 11 11 12 12 12 12 12 12 10 8 7 7 7 8 9 11 12 13 12 11 10 10 10 10 11 11 10 9 9 9 9 8 7 7 7 8 10 11 12 13 13 13 13 13 12 nan
nan 9 10 11 12 12 12 10 8 8 8 9 9 10 10 9 9 10 11 13 14 13 10 8 7 7 7 7 7 7 7 7 7 7 6 5 3 2 4 7 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 11 10 8 7 7 8 8 9 10 10 9 6 6 11 15 18 19 16 11 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 9 8 7 7 9 12 13 12 10 9 10 10 11 12 12 11 9 8 7 7 7 8 9 10 10 10 9 9 9 9 8 7 7 6 6 7 9 10 11 12 12 12 12 13 13 13 11 9 8 7 7 8 10 12 13 13 12 10 9 9 9 10 11 10 10 9 9 9 9 10 11 9 9 10 10 10 12 12 12 12 12 11 11 nan
nan 9 9 10 11 12 12 10 9 9 8 8 8 8 8 8 9 9 10 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 6 4 2 2 4 7 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 10 9 8 8 8 7 8 8 9 10 8 6 5 8 13 18 21 20 16 12 9 8 8 8 7 7 7 8 8 9 10 11 11 10 9 8 8 8 9 10 10 10 10 10 10 8 8 8 8 10 10 9 8 7 7 8 9 10 11 10 8 6 6 7 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 9 9 10 10 10 10 11 12 12 12 12 11 11 10 10 10 11 11 11 11 10 9 9 9 10 11 10 10 9 9 9 9 10 11 11 10 10 10 9 10 11 11 11 11 10 10 10 nan
nan 9 9 9 10 11 11 9 9 8 7 6 6 7 8 9 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 6 4 3 4 6 8 8 7 7 6 6 7 8 8 8 7 8 9 10 10 11 11 10 10 10 9 8 8 7 7 7 8 9 9 7 5 4 6 10 14 18 20 18 15 11 9 9 8 7 6 6 6 7 9 11 12 11 10 7 5 5 6 8 9 10 9 9 8 7 6 6 7 8 8 6 5 4 4 5 6 7 8 9 7 5 5 6 8 9 11 11 10 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 7 7 8 10 11 11 11 12 13 14 13 12 11 10 9 10 10 10 10 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 8 7 6 6 6 6 7 8 9 10 10 8 7 6 5 5 5 6 7 8 8 8 9 9 9 10 10 10 9 6 6 7 9 9 9 8 7 6 6 7 8 8 8 8 9 10 11 11 11 10 10 10 10 11 10 9 7 7 7 8 9 9 6 4 4 5 7 10 13 16 17 16 13 10 9 8 7 5 5 6 8 10 12 11 11 10 8 5 5 5 7 8 8 8 7 7 6 5 5 6 6 6 5 4 4 4 6 7 7 8 8 7 6 6 7 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 11 13 14 13 11 9 8 8 10 10 11 11 9 9 9 9 9 9 9 10 10 11 11 11 10 11 12 11 11 10 8 8 8 9 8 8 8 nan
nan 7 7 8 8 8 7 6 6 7 7 8 9 9 10 10 9 8 7 6 5 5 5 5 6 7 8 8 8 9 10 11 11 12 11 9 9 10 10 9 9 9 8 7 6 7 8 9 9 9 11 12 12 11 10 9 9 10 11 12 12 10 8 7 7 8 9 8 5 3 3 5 6 7 9 12 15 16 14 10 8 7 6 5 4 5 8 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 8 7 6 6 7 8 7 7 7 7 7 8 8 8 9 10 11 11 11 10 9 10 11 11 11 10 9 8 9 10 11 11 10 9 8 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 8 8 8 8 8 8 7 nan
nan 5 5 5 6 7 8 7 8 9 9 10 10 9 9 9 9 9 9 8 7 5 5 4 5 6 7 7 8 8 9 10 11 12 12 11 10 10 9 9 9 9 8 8 7 8 9 10 10 11 12 13 13 11 9 9 9 9 10 11 12 11 10 8 7 8 8 7 4 3 3 5 6 7 8 10 14 15 13 9 7 5 4 4 5 6 7 8 10 11 12 12 12 11 10 8 6 6 6 6 7 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 11 11 11 11 11 12 13 12 11 9 7 7 8 9 9 9 9 9 8 9 9 9 9 9 11 11 11 10 10 10 11 11 11 10 9 9 9 11 11 11 11 10 9 9 9 10 11 11 12 13 13 13 13 12 12 11 11 11 12 11 11 10 10 11 10 9 8 nan
nan 2 2 3 6 8 9 10 10 10 10 10 10 9 9 9 9 9 10 9 8 6 5 4 4 6 6 7 7 7 8 9 10 11 12 11 10 9 9 9 9 8 8 8 8 9 10 11 11 12 12 13 13 11 10 10 9 9 9 10 10 11 11 9 8 8 8 7 4 3 4 5 6 7 8 10 13 14 12 9 6 5 6 6 7 7 7 8 11 13 14 13 12 11 10 8 7 6 6 6 7 9 10 10 11 11 11 10 9 8 8 9 9 10 11 12 13 13 12 12 12 14 14 15 17 17 16 13 11 10 10 10 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 12 12 13 12 10 9 9 10 11 11 11 11 10 9 9 9 10 11 12 12 13 13 13 13 13 12 11 11 11 12 13 14 15 16 16 15 13 11 nan
nan 2 2 4 6 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 7 6 5 4 5 6 6 7 7 7 8 8 10 11 11 10 9 9 9 8 8 8 8 8 10 11 12 11 11 11 12 13 13 12 10 8 8 9 9 9 10 10 8 8 8 8 7 5 4 5 6 6 7 8 10 12 13 11 9 7 7 8 9 8 7 7 9 12 14 14 12 11 10 9 8 7 7 7 7 8 10 11 13 14 13 13 11 10 10 10 11 12 14 14 15 15 14 12 12 14 16 17 19 20 20 20 18 15 13 13 13 15 16 16 16 15 15 14 14 13 13 13 12 12 12 13 13 13 13 13 11 10 10 10 10 10 11 11 10 9 9 8 9 9 10 11 12 12 13 13 13 13 12 11 11 11 11 13 16 19 20 19 18 17 18 nan
nan 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 6 5 5 5 6 7 7 7 7 8 9 10 10 9 9 9 9 8 8 7 7 8 10 11 12 11 10 10 11 13 13 12 10 7 7 7 8 8 9 9 8 7 8 8 7 6 6 6 6 6 6 7 9 11 12 11 10 8 9 10 9 8 5 6 9 12 13 12 11 10 10 10 9 8 7 7 7 8 9 10 11 12 11 11 10 11 12 13 14 16 17 17 17 17 14 11 11 13 16 18 19 21 22 22 21 19 16 15 16 17 18 18 17 16 16 15 14 14 14 14 14 13 13 13 13 13 13 12 10 9 9 9 10 10 10 9 9 8 8 8 8 8 9 10 11 11 12 12 13 12 12 11 11 10 10 11 13 15 15 15 17 19 21 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
20 29 29 25 22 19 10 6 6 4 2 1 0 0 0 1 1 1 1 2 2 2 2 2 1 1 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 34 72 112 141 173 193 156 107 74 75 81 80 78 78 79 65 46 44 53 59 61 59 57 56 50 36 25 21 21 22 26 32 37 35 30 30 33 36 37 35 27 22 29 32 30 26 25 24 21 15 11 11 14 12 7 6 5 5 4 4 4 5 7 9 9 7 8 8 7 6 6 6 8 10 11 10 10 9 8 8 7 7 6 5 4 4 4 4 3 3 4 4 5 7 8 9 9 9 7 6 6
13 16 18 21 25 31 29 16 11 7 3 1 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 19 44 79 106 129 170 181 137 83 68 70 70 68 70 76 71 49 42 45 53 60 65 67 67 63 45 33 27 24 24 25 28 26 28 28 28 30 33 36 34 27 24 26 36 39 35 32 30 27 23 16 14 16 18 15 10 4 5 5 6 7 9 10 11 11 10 9 8 7 7 7 10 12 13 13 13 12 10 9 9 8 7 6 5 4 4 4 4 4 5 6 7 8 8 8 8 8 8 7 6 5
9 10 13 19 28 41 46 32 22 13 6 2 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 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 3 6 6 14 28 52 81 101 127 168 141 100 80 74 68 61 59 60 58 45 38 40 46 55 63 67 66 62 50 39 32 29 29 29 29 27 26 26 27 29 30 31 29 26 24 24 33 43 42 39 36 32 28 23 20 20 20 20 20 11 9 9 10 12 14 17 19 18 14 11 10 9 9 12 15 15 15 15 13 11 10 9 8 8 6 5 5 4 3 3 5 6 7 7 7 8 8 8 7 7 6 6 6 6
11 11 13 19 33 47 51 46 37 26 16 7 1 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 1 2 3 7 6 11 21 37 62 83 88 130 140 123 101 88 83 76 58 51 49 41 33 33 41 48 58 63 62 57 51 42 35 32 33 34 33 29 27 27 29 29 27 26 27 25 24 24 29 38 41 43 43 39 30 25 26 27 17 16 19 20 20 20 20 21 23 26 26 20 14 11 10 9 11 14 17 17 16 14 12 10 9 8 7 7 6 5 5 4 4 6 7 8 8 8 7 8 8 7 7 6 5 5 6 8
14 15 17 24 38 48 55 57 54 45 30 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 10 16 28 43 66 70 96 116 120 109 92 86 89 60 51 49 42 32 29 35 43 52 59 62 61 54 44 37 34 34 36 36 35 31 30 31 29 26 26 28 31 31 28 27 31 37 40 40 37 32 28 29 34 20 15 16 20 25 27 27 26 27 24 18 12 10 10 10 11 14 16 17 17 15 13 10 9 8 7 6 6 5 4 4 4 6 8 8 8 8 7 7 7 7 6 6 6 5 6 7 7
14 17 20 26 35 44 52 60 64 58 44 29 16 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 0 0 0 0 0 0 0 0 0 0 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 7 9 11 15 30 44 58 76 92 102 105 92 76 81 68 52 49 47 35 29 27 35 46 55 65 66 56 46 39 34 32 32 34 36 36 35 34 30 26 27 30 35 37 33 27 27 30 32 33 35 34 31 30 33 26 21 15 11 13 17 18 18 15 12 9 8 8 10 12 15 16 17 16 15 14 12 9 8 7 6 6 5 4 3 3 5 7 9 8 8 7 7 7 6 6 6 7 7 8 8 8 8
12 15 17 22 28 36 44 52 59 57 49 37 25 11 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 1 3 6 9 9 12 23 40 57 70 81 97 98 81 74 68 56 51 50 38 30 25 27 36 48 62 70 62 52 43 35 31 30 31 34 36 37 38 34 30 30 33 34 32 30 27 26 26 28 30 30 30 35 32 30 26 26 24 13 9 9 8 8 8 7 7 9 11 15 17 20 19 17 15 13 12 11 9 8 6 5 4 4 3 4 5 7 9 9 8 8 7 6 6 6 6 8 9 9 8 8 9 10
8 11 12 15 20 26 33 41 46 46 43 38 30 20 7 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 1 2 6 7 8 11 20 34 47 56 89 107 98 76 61 58 58 53 44 35 28 23 31 45 60 73 73 67 52 40 32 29 29 30 34 36 38 37 36 35 37 37 32 32 30 28 26 27 29 32 40 40 35 30 26 26 29 25 21 12 8 7 7 7 8 10 15 21 22 21 19 16 14 12 11 10 9 7 6 5 4 3 3 5 7 8 9 9 9 8 7 6 6 6 7 9 10 9 10 13 13 12
6 7 8 10 14 18 23 29 35 40 42 41 35 28 17 8 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 0 0 0 0 0 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 2 3 5 8 13 22 24 46 74 90 78 60 56 55 57 55 42 32 25 26 38 57 75 86 87 72 55 43 35 30 28 31 32 35 38 40 40 40 41 38 37 33 32 32 28 27 30 36 37 36 33 28 24 22 26 29 22 17 13 11 10 13 12 16 22 24 22 19 16 12 10 10 9 8 7 5 4 4 4 6 7 8 9 10 10 9 8 7 7 7 6 7 9 10 10 12 14 15 13
7 6 5 6 9 13 17 22 29 36 41 46 44 37 28 20 13 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 1 1 2 3 6 6 11 31 55 67 63 51 44 56 62 52 39 28 23 27 41 71 101 108 98 78 59 47 33 32 32 32 36 42 44 43 43 43 42 40 35 34 39 34 29 28 32 35 36 35 30 24 20 17 22 27 27 24 23 20 18 18 22 25 25 24 19 14 13 11 9 9 8 7 5 4 6 8 9 9 10 10 10 10 10 9 8 7 7 6 7 9 10 10 12 14 14 11
7 6 4 3 5 8 13 17 23 30 40 45 48 42 36 30 24 16 9 4 1 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 1 1 2 10 26 43 50 45 37 49 59 59 48 32 17 18 27 57 92 116 122 107 74 62 48 43 42 44 49 53 53 49 47 45 44 43 40 37 41 37 33 30 30 32 34 36 35 28 21 17 18 21 24 25 31 26 25 25 27 27 24 21 19 18 15 11 9 8 8 7 7 6 8 11 11 11 11 12 11 11 11 10 9 7 7 6 7 9 9 8 9 12 11 10
6 7 5 4 3 5 9 13 17 24 34 41 45 46 46 38 29 23 17 10 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 4 11 20 31 40 38 41 49 59 60 47 26 19 21 40 71 106 135 140 106 85 67 58 55 61 72 74 71 62 55 50 47 45 44 42 40 36 36 33 30 30 32 35 37 38 35 29 23 20 15 17 22 20 20 23 26 29 26 25 23 19 13 10 8 7 7 6 6 8 10 12 14 14 12 13 12 12 12 11 10 8 7 7 7 9 8 7 9 11 11 10
5 6 6 6 3 4 7 10 13 17 24 30 35 42 45 39 31 26 21 15 10 4 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 1 3 8 17 31 33 33 37 47 62 63 45 30 23 27 45 76 116 151 146 128 102 81 70 71 89 101 97 84 72 64 57 51 48 44 40 35 33 31 29 28 33 41 39 37 37 34 29 24 16 16 18 17 16 17 21 28 29 31 33 26 13 9 7 7 7 7 8 10 12 14 16 15 13 12 12 12 12 11 10 8 7 7 8 9 8 8 10 12 12 11
5 6 7 7 5 5 7 9 12 16 19 21 23 26 28 32 33 24 17 13 7 5 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 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 15 22 26 28 32 51 63 59 45 31 22 25 39 72 122 156 173 155 119 99 91 105 122 123 113 99 84 72 64 57 49 42 39 37 35 32 27 38 45 40 31 23 21 23 23 20 20 21 21 20 18 17 19 22 22 23 22 16 13 11 9 8 8 8 10 12 17 18 16 13 12 12 11 11 10 9 7 7 8 8 8 7 7 10 12 12 10
6 6 8 9 8 7 8 10 13 16 18 18 18 20 22 23 20 16 13 13 9 8 8 7 6 6 4 3 2 1 0 0 0 2 3 4 6 6 5 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 23 27 26 39 53 64 62 45 27 22 19 40 77 128 188 218 186 154 129 134 148 150 139 120 99 88 80 70 60 52 46 46 52 42 30 32 34 31 25 20 22 21 21 19 18 19 19 17 17 17 16 16 16 16 15 15 16 14 11 8 7 8 9 13 18 19 18 16 13 11 11 12 11 9 7 7 8 8 7 6 8 10 12 10 9
7 7 10 11 10 10 11 11 13 15 17 14 14 16 16 15 13 13 13 15 12 11 10 10 9 8 8 7 6 6 6 6 4 5 7 10 12 12 9 6 8 8 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 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 12 19 24 31 43 58 68 64 51 34 18 23 44 85 151 227 261 245 196 182 183 177 163 140 118 107 99 89 79 68 59 56 68 51 35 26 23 22 21 18 23 25 22 18 16 17 15 15 17 17 16 15 13 11 10 11 12 11 9 8 8 8 11 16 18 17 15 15 13 13 13 12 10 8 6 7 8 8 7 6 8 10 12 10 9
10 8 9 11 12 13 13 13 15 15 17 16 15 14 15 13 11 11 12 12 11 11 11 10 9 8 9 9 10 11 11 11 10 8 7 8 7 7 6 5 6 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 0 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 3 7 14 24 35 48 60 69 69 54 31 26 35 56 93 165 258 308 275 244 228 214 196 166 145 139 135 124 109 91 77 66 69 58 41 28 21 21 20 19 20 21 22 20 18 19 17 15 14 15 16 15 14 15 14 11 9 9 7 6 6 9 13 16 16 15 13 14 15 13 11 9 7 6 7 8 8 8 7 7 8 11 11 10 9
9 8 7 8 11 12 12 13 14 14 16 17 16 13 12 11 10 8 10 9 8 8 8 8 8 7 8 8 8 9 9 9 9 5 3 5 4 3 2 1 2 2 1 1 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 1 6 15 25 37 51 64 72 73 62 51 42 36 41 75 161 263 302 298 284 267 253 218 209 208 195 173 155 132 110 90 75 62 48 37 28 25 21 19 19 20 21 22 22 21 21 19 17 17 16 14 14 16 18 16 14 13 12 10 10 12 16 18 18 16 14 15 16 12 8 7 7 8 7 8 9 9 8 9 12 12 12 10 10
12 9 4 5 8 10 11 12 13 14 15 14 13 10 8 8 9 8 8 7 6 5 3 3 4 4 3 2 2 4 7 7 5 2 2 2 1 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 1 6 13 25 41 49 64 79 85 81 74 64 28 34 85 170 259 324 340 325 321 307 299 289 269 233 206 180 154 127 107 86 64 52 39 29 22 18 18 20 22 23 24 24 24 23 21 21 18 16 14 14 14 15 16 16 16 14 16 19 20 18 19 16 14 13 10 8 7 7 8 9 9 9 9 8 8 13 13 13 13 11 10
4 2 2 5 8 11 12 12 14 16 16 14 11 7 3 2 6 7 6 5 3 1 0 0 1 1 0 0 1 2 2 1 2 2 1 1 1 1 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 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 15 23 28 40 57 72 82 91 96 55 35 46 92 178 290 358 397 414 404 379 361 351 314 291 260 218 175 142 118 92 70 51 39 30 23 19 20 23 23 24 24 24 25 24 24 22 19 17 16 17 17 15 15 15 16 16 17 16 14 14 12 11 9 7 6 7 8 10 10 11 13 12 8 9 11 12 13 13 12 12
0 0 0 1 3 6 9 10 12 13 12 10 8 5 4 5 7 7 5 2 1 0 1 1 0 0 0 0 0 0 0 0 1 2 2 1 0 1 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 1 2 1 4 9 17 26 37 55 78 86 71 52 40 45 91 189 292 396 469 480 442 410 401 380 361 339 303 246 186 147 118 92 67 48 36 29 25 21 24 25 26 28 28 28 28 28 26 24 22 23 26 18 16 15 15 15 13 11 11 12 12 10 9 9 9 10 11 12 13 15 18 18 14 10 10 10 9 11 13 13 13
0 0 0 1 4 8 9 8 10 10 7 6 5 4 2 4 6 5 3 1 0 2 3 1 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 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 10 14 28 50 69 79 73 51 29 41 97 190 317 441 515 512 483 439 379 360 358 339 301 261 203 155 120 92 67 51 43 36 29 27 27 28 29 29 30 31 31 30 28 27 26 23 19 18 18 19 16 16 18 17 18 21 21 20 21 24 22 19 18 19 23 28 20 14 11 10 9 10 12 13 14 15
0 0 1 3 5 7 8 7 12 10 9 9 7 5 3 4 3 2 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 13 28 46 60 65 61 43 38 55 103 208 352 470 547 544 467 380 371 425 467 473 431 336 243 176 131 97 70 53 49 43 35 30 28 28 30 29 30 31 30 31 30 30 25 22 21 22 24 24 24 23 23 25 30 35 37 34 35 30 24 20 17 18 21 16 12 10 8 8 10 13 14 15 16
0 0 1 3 5 5 6 6 9 10 10 10 9 6 3 2 2 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 18 29 41 52 61 58 50 42 55 120 244 376 484 544 507 443 435 504 610 713 687 580 441 306 202 139 102 75 64 55 45 36 31 27 28 29 29 30 31 32 32 30 28 26 24 23 25 27 25 23 22 25 30 34 34 27 27 25 20 16 14 15 14 11 9 9 9 10 12 14 16 16 15
0 0 0 1 1 1 4 5 7 7 9 12 12 6 2 3 4 3 1 0 1 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 1 6 12 16 21 34 52 64 59 45 44 75 150 261 375 480 510 483 470 504 622 802 884 867 747 541 338 222 157 117 91 74 60 47 37 31 29 28 28 29 30 31 31 30 30 29 27 26 27 25 24 24 24 25 26 28 28 25 23 20 17 18 15 13 10 10 11 12 14 14 15 16 16 15 14
0 0 0 0 1 4 8 9 8 5 9 17 18 8 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 17 33 47 62 68 64 59 56 86 146 242 351 432 460 464 430 495 677 912 1088 1107 909 633 423 270 177 129 100 80 63 49 41 35 30 27 28 29 30 31 32 33 32 30 29 29 29 29 27 26 25 25 25 25 25 23 20 17 17 16 15 17 20 18 18 18 17 16 16 15 15 16
2 1 1 1 2 5 8 11 10 6 6 13 19 14 11 11 7 2 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 1 2 4 9 25 41 56 68 74 73 53 65 100 160 242 330 387 423 381 399 551 816 1134 1356 1250 1027 758 486 277 179 138 109 83 63 51 43 37 33 30 30 31 33 34 37 37 36 34 33 32 32 31 28 26 25 25 25 26 26 20 17 14 15 20 27 28 23 20 18 17 17 15 14 17 21
4 3 3 4 6 8 10 12 12 8 7 14 20 18 14 13 5 0 0 0 0 0 0 1 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 4 16 32 47 59 70 76 67 67 82 116 173 258 317 370 362 349 393 560 941 1266 1373 1321 1105 770 454 282 200 147 109 82 64 52 45 41 38 36 35 37 39 39 41 42 40 38 36 37 36 31 28 27 25 25 24 26 20 16 16 22 33 38 33 27 23 22 22 23 18 21 25 30
10 9 8 9 11 11 11 14 14 11 11 14 19 20 14 15 8 2 0 0 0 0 1 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 1 7 17 29 39 56 73 75 68 66 81 115 205 260 282 290 307 340 409 711 1047 1292 1403 1325 1029 721 477 306 198 137 103 80 64 54 49 46 42 39 40 43 42 43 44 43 41 39 37 36 34 31 28 24 23 22 22 20 20 23 34 46 45 40 34 30 30 28 25 24 30 35 39
19 21 23 23 21 20 19 21 21 19 16 14 16 24 18 18 14 7 2 0 0 0 0 5 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 1 5 9 16 27 42 53 58 57 68 95 160 211 255 301 344 423 469 636 873 1115 1314 1397 1277 1017 718 462 287 183 126 96 76 64 55 49 45 43 43 47 45 44 45 45 43 40 38 36 35 32 29 24 25 26 25 25 27 32 44 51 51 48 44 41 37 31 25 30 39 44 45
76 62 47 34 34 35 32 31 32 31 27 21 19 24 23 23 21 14 5 1 0 0 0 3 4 3 1 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 4 9 15 19 28 47 60 85 120 162 223 311 389 443 464 564 719 896 1123 1326 1375 1249 972 657 416 254 156 117 91 75 63 54 48 46 47 44 43 46 48 48 48 44 40 37 35 35 34 33 34 35 34 33 36 42 51 57 58 56 54 50 43 36 34 39 47 51 51
106 112 88 44 40 41 41 41 42 42 41 37 35 27 25 26 22 15 6 2 1 1 2 5 9 9 6 4 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 25 40 46 58 74 95 125 175 254 341 395 387 450 598 713 889 1076 1275 1363 1205 881 590 367 218 150 117 91 73 62 55 52 51 50 49 49 50 51 51 48 45 43 40 42 43 44 44 43 41 38 42 49 57 62 62 63 63 59 54 48 44 46 50 54 55
65 80 79 66 55 46 46 49 50 49 49 49 45 36 30 26 20 10 3 2 2 5 12 19 22 19 14 10 5 3 1 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 11 24 42 55 69 89 111 140 195 270 350 380 408 496 558 727 937 1207 1341 1256 1048 766 514 333 222 152 107 82 72 64 60 58 57 56 53 54 57 57 54 50 52 50 50 51 53 55 53 44 41 43 49 56 61 65 70 71 69 65 59 54 50 51 54 57
31 46 61 64 52 38 43 58 67 68 64 59 51 41 34 29 22 15 10 10 13 18 23 28 30 26 19 15 10 6 3 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 30 47 63 81 99 111 133 195 268 325 350 356 403 575 806 992 1093 1170 1165 966 722 493 310 188 126 98 83 74 70 66 62 61 61 61 62 64 63 56 56 56 59 61 62 63 58 51 46 47 53 59 61 67 75 79 79 75 68 61 56 55 56 58
16 25 36 44 41 41 55 73 88 93 85 70 54 44 40 36 32 28 28 34 33 35 39 41 39 33 29 22 14 6 1 2 5 7 6 4 2 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 32 51 72 86 92 100 124 170 222 233 250 292 409 575 750 936 1142 1246 1168 957 685 429 225 159 122 100 86 78 74 71 69 68 68 68 67 69 67 64 64 65 68 69 68 65 58 54 56 60 61 64 73 83 89 89 85 73 67 63 60 58 60
11 16 25 35 32 39 57 77 89 88 76 65 59 56 53 50 48 49 59 58 47 50 57 60 59 46 40 35 28 18 11 14 15 14 13 11 8 4 3 2 2 3 3 2 2 3 4 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 1 7 18 30 51 75 84 88 100 119 131 142 174 218 276 344 453 699 985 1183 1244 1152 916 617 348 216 153 123 103 92 85 83 82 81 81 79 75 73 72 70 68 69 72 75 78 66 62 65 66 64 64 70 80 90 95 95 94 89 81 72 66 62 64
9 10 14 23 17 24 41 60 71 70 60 63 67 66 63 60 58 62 64 53 51 58 68 71 60 47 48 47 43 39 36 31 24 18 17 17 15 8 5 2 1 2 3 3 3 6 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 27 40 47 53 62 75 85 99 123 152 172 174 228 445 673 867 991 1018 918 698 459 288 191 146 126 115 106 101 96 94 95 92 87 81 77 75 72 71 73 82 82 77 75 78 77 72 73 77 83 89 92 94 96 96 91 84 75 70 68
5 5 6 13 13 25 44 62 72 73 61 64 65 61 56 51 49 54 52 44 42 46 51 54 49 36 38 38 35 32 34 30 20 14 11 9 7 4 2 2 3 2 1 0 2 7 13 14 10 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 6 10 13 14 17 23 40 66 77 83 95 117 150 151 166 232 331 427 505 586 650 608 480 342 236 173 151 141 131 119 110 104 101 96 94 94 91 83 77 80 79 80 78 75 80 85 83 79 77 79 83 86 90 92 93 94 94 91 84 79 73
1 1 2 7 12 23 37 50 58 58 47 45 42 38 34 30 25 24 23 22 21 20 19 22 26 11 12 13 12 13 15 12 7 4 2 1 0 1 0 1 1 0 0 0 1 5 10 13 12 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 9 11 9 6 3 3 26 49 62 67 72 79 91 105 133 169 201 222 258 313 346 362 353 304 241 193 171 157 146 133 122 115 107 103 98 92 89 82 84 91 85 76 74 79 87 90 88 84 81 81 82 83 83 83 85 91 97 95 91 86 78
1 1 2 2 4 7 10 14 17 18 18 17 14 12 10 11 8 5 5 4 3 2 2 3 4 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 10 11 7 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 5 9 10 8 3 3 14 29 41 49 60 70 85 105 135 173 212 226 240 251 249 237 228 221 209 198 183 166 152 141 133 123 111 102 96 93 93 92 92 94 92 86 82 87 94 97 93 85 77 78 80 81 80 83 89 96 100 99 96 91 83
1 1 1 1 1 1 1 1 1 2 3 3 2 1 2 2 2 1 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 1 2 11 25 38 48 59 70 85 111 143 175 214 234 245 247 239 221 204 191 189 188 182 172 161 155 147 133 119 110 106 104 102 98 96 98 100 100 105 104 105 103 96 86 83 85 87 90 92 94 100 101 102 101 97 92 86
0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 4 13 24 34 42 48 57 72 99 137 165 197 223 243 251 242 220 191 173 171 176 179 174 165 164 159 147 132 121 114 110 106 103 105 109 109 103 104 111 116 117 113 105 107 110 111 111 109 110 108 106 103 100 95 90 85
0 0 0 1 1 2 2 2 2 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 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 15 23 29 33 39 49 64 89 123 157 186 214 235 243 234 213 184 167 160 162 165 165 160 161 159 149 137 132 122 120 126 135 142 138 129 121 119 125 136 149 150 145 141 136 131 128 127 129 130 124 110 103 96 90 85
1 1 0 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 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 2 7 16 23 28 34 42 53 70 92 122 154 176 194 215 228 227 223 205 181 159 148 151 151 150 152 152 146 141 150 156 166 180 194 196 185 173 165 157 155 168 181 181 176 163 142 135 135 137 136 129 119 111 108 102 95 88
0 0 0 0 1 0 0 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 23 27 32 43 59 82 106 129 147 158 169 188 199 223 226 208 182 155 130 129 131 144 157 160 159 162 177 195 212 222 221 198 187 186 183 164 163 166 164 159 146 129 127 128 132 130 125 122 117 117 115 110 104 98
0 0 0 0 1 0 0 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 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 1 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 11 20 23 25 30 41 60 95 118 129 134 139 150 171 186 206 212 200 178 156 141 143 154 170 188 179 181 189 202 214 215 198 178 157 148 145 137 121 122 123 124 123 119 113 116 119 119 114 113 120 124 124 119 112 106 100
0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 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 2 6 16 22 25 28 34 46 72 93 105 112 116 126 140 159 170 182 194 196 188 180 178 183 192 201 219 195 179 172 172 174 168 146 132 127 126 123 113 113 117 119 120 121 119 115 117 119 118 116 120 130 133 130 121 111 103 95
1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 1 1 2 1 1 2 2 2 2 2 2 3 3 3 3 2 2 1 1 1 0 0 1 1 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 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 1 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 21 27 29 31 36 50 69 74 73 77 85 111 140 169 191 205 209 213 211 208 204 202 208 194 190 167 147 139 134 120 125 121 111 104 108 115 120 122 129 138 147 157 159 154 145 141 141 140 147 153 150 140 127 114 106 96
2 2 2 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 1 1 1 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 1 1 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 5 4 3 3 3 3 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 23 28 30 33 37 47 56 62 65 70 90 122 158 196 227 238 230 220 207 195 188 182 178 154 132 117 111 114 114 104 96 88 79 76 81 87 96 109 124 141 168 198 197 183 176 180 181 179 180 177 166 154 143 129 115 102
3 3 3 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 3 3 4 4 3 3 2 2 2 2 2 1 1 1 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 4 4 2 2 2 2 1 1 1 2 2 2 3 5 6 6 7 7 6 5 5 4 4 2 0 0 1 1 1 1 1 1 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 1 7 16 25 30 32 32 35 42 50 62 75 89 113 141 170 197 218 212 206 193 181 177 180 162 143 124 107 95 86 88 84 79 74 68 63 61 64 69 74 88 110 124 144 167 179 184 196 210 212 204 196 188 172 162 152 137 124 110
5 4 5 5 5 5 3 3 2 1 1 1 1 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 3 3 4 5 6 5 4 3 3 3 4 4 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 5 6 7 6 5 6 6 5 5 5 6 6 6 7 7 8 7 7 6 6 7 8 3 2 1 0 0 0 0 1 2 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 13 23 32 36 34 33 37 46 59 74 87 95 107 123 142 157 164 163 162 162 166 172 181 165 142 123 109 97 85 80 74 69 68 68 68 68 73 84 97 105 113 122 130 138 148 164 187 205 200 182 163 150 151 150 146 140 133 123
7 6 7 7 7 7 6 6 4 3 3 3 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 5 6 8 8 7 6 5 4 6 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 1 2 4 6 7 7 8 8 8 10 10 9 8 9 9 9 9 9 8 8 7 6 5 5 6 6 2 0 0 0 0 0 1 1 1 2 2 3 4 3 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 22 36 44 45 44 46 51 56 59 64 67 69 72 76 84 107 123 135 144 151 159 166 167 154 147 142 128 113 98 88 84 82 76 72 76 83 93 102 105 104 109 118 125 129 133 150 167 176 169 149 131 120 123 132 135 128 116 111
8 7 7 8 9 9 9 8 7 6 4 3 3 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 5 9 13 14 12 9 7 5 5 4 3 3 3 2 1 1 1 1 1 1 0 0 0 0 0 0 1 2 2 3 3 2 1 1 1 2 4 7 8 8 8 9 10 10 9 9 10 10 10 10 10 9 7 5 4 3 2 2 2 0 0 0 0 0 0 1 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 17 27 49 55 55 54 52 51 49 41 37 35 36 39 45 53 75 98 117 131 141 150 161 170 174 175 170 153 130 108 90 76 65 60 61 64 67 71 73 62 59 70 87 104 117 133 150 160 161 154 140 129 123 125 124 114 100 87 82
9 7 7 8 9 10 10 9 8 7 6 5 3 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 5 9 14 16 13 11 10 7 6 5 4 4 3 2 1 1 1 1 1 1 1 1 1 1 0 0 1 2 2 1 2 2 2 3 2 2 3 5 6 7 7 6 7 8 8 8 8 8 7 6 5 5 4 2 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 6 16 22 21 22 45 54 53 47 40 30 24 22 21 22 24 27 34 47 65 88 107 120 132 144 164 182 193 192 182 166 140 110 83 64 53 48 46 43 40 36 27 28 35 44 55 70 87 100 123 140 146 148 142 137 132 122 106 86 74 66 61
8 7 7 8 8 8 8 8 8 8 6 5 5 4 3 2 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 5 10 14 15 13 12 10 7 6 4 4 3 3 2 2 1 1 1 1 2 1 1 1 1 1 1 2 2 2 2 3 4 4 3 3 2 3 2 2 1 2 3 4 4 4 4 4 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 2 1 1 1 0 0 0 0 4 12 21 23 15 12 24 33 32 26 23 18 16 17 17 17 19 25 34 51 73 90 101 111 125 136 157 183 192 185 174 158 134 105 78 60 50 44 40 35 33 34 38 39 39 42 43 52 67 81 97 114 129 136 139 138 128 110 85 69 61 59 58
8 7 7 7 7 7 7 8 9 9 9 8 7 6 4 2 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 2 5 9 11 12 11 9 7 5 4 4 3 2 2 2 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 3 3 2 2 1 1 1 0 0 0 0 1 1 1 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 1 0 0 0 1 2 2 2 1 2 1 0 0 0 0 0 0 4 12 19 19 12 3 2 6 13 18 16 17 15 14 13 13 13 15 21 31 44 59 71 79 90 102 114 131 152 158 159 159 145 118 91 71 59 47 37 32 29 29 30 35 39 40 41 45 53 64 74 85 100 111 118 122 122 116 102 82 65 57 55 56
6 6 7 7 7 7 9 10 10 10 11 11 10 8 5 3 1 1 0 0 1 1 1 0 1 1 1 2 3 4 4 2 3 6 7 8 7 6 5 4 4 3 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 1 1 2 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 1 2 3 2 2 1 0 0 0 0 0 0 1 4 7 9 10 6 2 1 1 6 14 16 15 14 13 12 12 11 13 16 22 29 35 38 44 54 66 81 99 114 125 138 138 119 93 72 59 46 35 28 22 20 21 22 24 28 33 35 42 51 60 66 70 83 90 93 97 102 97 91 78 64 54 50 59
7 7 7 6 7 7 6 7 8 9 10 10 10 6 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 5 6 6 4 4 4 4 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 2 1 1 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 1 3 3 3 2 1 0 0 0 0 0 0 0 0 0 1 2 5 4 3 1 1 3 9 15 15 13 12 12 11 11 11 12 14 16 18 18 20 27 38 49 62 80 89 91 86 71 59 46 33 25 23 22 18 16 16 17 21 25 28 29 34 40 47 54 58 64 66 67 71 80 81 80 75 68 59 54 56
7 7 7 7 6 8 9 8 8 8 8 8 7 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 7 6 5 5 6 6 5 5 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 2 3 3 1 1 1 0 0 0 0 0 0 0 0 1 3 6 6 5 3 1 1 1 3 6 9 11 11 10 10 9 8 9 9 9 10 11 12 16 21 25 29 37 46 49 46 40 35 29 25 25 24 22 19 16 14 14 16 16 19 22 26 30 33 43 49 51 51 52 61 67 72 74 74 71 67 62 56
7 7 7 7 6 7 7 7 6 6 6 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 5 6 6 6 5 5 6 5 4 2 1 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 1 1 1 1 1 2 2 2 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 3 4 6 4 4 3 2 1 1 1 0 0 0 0 0 0 0 1 3 8 9 6 4 2 1 0 0 0 4 8 10 10 8 7 6 5 5 5 4 6 7 8 9 11 13 16 18 22 26 28 29 26 24 23 22 21 19 17 15 13 13 15 16 17 19 21 25 31 37 41 43 44 52 59 66 70 71 70 67 62 55 49
8 7 6 6 6 6 6 6 5 5 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 4 4 4 4 4 4 3 5 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 1 1 1 1 1 1 1 1 1 3 4 4 4 4 4 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 6 7 5 3 1 1 1 0 0 0 0 0 0 0 0 1 3 7 7 5 2 1 1 0 0 0 1 2 3 7 6 5 4 3 3 2 3 3 4 4 5 7 8 10 12 15 17 18 19 18 16 16 16 15 14 13 12 12 13 14 15 16 18 21 25 28 31 34 37 42 50 56 63 67 68 63 58 49 43 47
9 8 6 5 6 8 9 8 7 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 1 2 4 5 5 5 5 4 5 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 2 4 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 1 4 5 3 2 1 0 0 0 0 0 0 1 5 6 5 4 3 2 2 2 2 2 3 3 4 5 7 8 9 11 13 13 13 11 12 11 11 11 11 11 12 13 14 15 16 18 22 26 28 30 34 38 43 50 54 56 60 59 55 49 40 33 41
7 7 6 5 6 8 9 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 2 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 3 4 4 4 3 4 4 4 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 1 3 5 5 3 2 2 2 2 2 2 2 3 3 4 5 6 8 10 12 14 15 15 14 13 12 12 12 13 14 15 16 17 17 20 23 26 30 35 41 45 50 54 55 55 56 54 51 45 37 32 32
10 9 6 4 5 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 4 4 4 4 3 3 2 1 1 2 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 2 2 2 3 3 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 1 4 6 4 3 3 3 3 2 2 2 3 4 5 6 9 11 13 15 18 20 20 21 19 17 14 15 16 17 17 17 18 19 21 23 27 32 37 44 50 56 60 63 64 61 56 52 48 46 40 35 29
9 8 6 4 3 4 3 3 2 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 3 4 4 4 4 4 4 4 3 1 1 1 2 1 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 2 2 3 3 3 3 3 2 1 1 2 2 2 3 4 5 5 3 1 1 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 1 3 5 8 4 3 3 3 4 3 4 4 5 7 10 12 16 19 22 25 25 26 25 22 19 18 16 16 18 19 20 20 21 23 26 29 33 38 43 49 57 63 66 64 61 56 49 43 39 36 32 29 25
7 6 5 4 3 3 3 2 2 3 3 2 1 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 4 4 4 5 5 4 4 3 2 2 2 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 2 3 4 4 3 2 1 1 1 1 2 2 2 2 3 4 3 2 1 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 1 3 6 4 5 7 9 8 8 9 10 12 16 20 24 28 30 31 32 31 30 26 22 20 19 18 19 20 22 23 24 26 27 28 30 35 41 45 50 56 60 61 57 50 43 37 33 29 25 21 19 20
5 4 4 4 4 4 4 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 4 4 4 4 4 3 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2 3 4 2 1 0 0 0 1 2 2 2 1 1 2 3 2 2 1 2 0 0 0 0 1 2 1 0 1 1 1 2 3 4 2 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 2 4 5 5 6 7 8 11 11 13 15 19 24 28 32 36 38 36 35 34 32 28 25 23 21 21 21 21 22 24 26 27 27 27 27 29 34 38 42 45 48 48 49 46 41 35 31 26 22 20 18 18 19
7 7 7 6 5 5 4 4 5 5 4 2 1 0 0 0 0 0 0 0 1 0 1 2 2 3 4 4 3 3 3 4 3 4 4 3 2 0 1 2 2 2 1 0 0 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 2 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 2 2 2 2 1 1 1 0 1 2 1 0 1 0 1 1 1 1 1 1 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 1 3 5 4 4 7 11 10 13 16 19 22 28 34 36 37 38 37 36 35 32 29 26 24 22 22 22 21 21 22 25 27 28 28 26 27 29 34 37 38 39 37 33 33 32 29 26 23 22 21 19 20 21 21
11 11 10 8 6 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 4 4 3 4 4 4 3 3 3 4 4 3 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 2 4 4 3 2 4 11 11 13 17 20 23 27 31 32 32 32 29 30 29 26 23 21 18 18 18 18 17 16 17 20 23 25 24 23 23 25 28 29 27 28 25 22 20 19 20 19 20 20 20 20 21 22 21
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