Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 11 11 10 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 8 9 10 10 10 9 9 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 9 12 17 20 22 20 15 11 9 7 6 5 5 4 3 3 5 7 7 7 7 7 7 7 8 8 9 9 9 9 7 5 5 6 7 8 8 7 7 7 7 8 9 9 8 7 6 6 7 7 6 6 7 9 10 10 9 8 7 7 8 8 9 8 9 9 8 6 4 4 3 3 4 6 8 8 9 10 10 9 9 8 7 7 6 6 7 7 7 7 8 11 11 10 8 7 nan
nan 10 10 10 10 9 9 9 8 8 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 8 8 7 8 8 9 9 10 10 10 9 9 8 9 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 10 15 20 22 22 19 15 11 9 7 5 3 2 2 2 4 6 7 7 7 7 7 8 8 8 9 9 8 7 6 5 4 5 6 7 7 7 6 5 6 7 7 8 7 6 6 6 6 6 7 7 8 10 11 11 10 8 7 6 6 6 7 8 9 10 10 9 7 5 5 5 6 6 7 8 8 9 10 10 10 10 10 9 9 8 7 7 7 7 7 9 11 10 8 6 5 nan
nan 9 9 8 8 7 7 8 8 8 8 7 7 6 7 8 8 7 7 8 8 7 7 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 11 16 20 21 19 17 14 11 9 6 2 -1 -2 -1 2 5 6 7 7 7 8 8 8 8 8 8 8 7 6 5 4 4 5 6 7 7 6 5 5 5 6 6 6 6 5 5 6 6 7 8 9 10 12 12 12 9 5 4 4 5 5 6 7 8 10 11 10 8 7 6 7 8 9 8 7 7 7 8 8 9 10 10 10 10 9 8 8 7 7 6 8 9 9 7 5 5 nan
nan 7 7 7 7 6 6 7 7 8 8 8 8 7 7 8 7 7 6 7 7 7 7 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 10 10 9 8 8 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 11 14 16 16 15 14 13 11 8 5 0 -3 -3 -1 2 6 7 7 8 8 8 9 9 9 8 7 7 6 5 5 5 5 6 7 7 6 5 4 4 4 5 5 5 5 5 6 6 7 8 9 10 10 10 11 10 8 3 2 3 5 5 5 5 7 9 11 12 11 9 8 9 10 10 9 7 6 5 5 6 7 8 10 10 9 8 7 7 6 6 6 7 7 7 7 6 6 nan
nan 6 7 7 7 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 11 12 12 12 11 12 12 11 9 6 3 0 -2 -1 1 4 6 7 8 8 9 9 10 10 9 8 7 6 6 6 7 7 7 8 7 7 6 5 4 4 4 4 4 4 5 5 7 8 9 9 10 10 9 7 7 8 7 5 4 5 5 5 4 4 5 8 12 15 14 11 10 11 12 12 11 8 6 5 5 5 7 8 9 8 7 6 5 5 5 6 6 7 7 7 6 7 7 nan
nan 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 8 8 10 12 13 12 10 10 10 10 7 5 4 2 2 1 2 3 5 6 7 8 8 9 10 11 11 10 8 8 7 8 9 10 11 10 10 9 8 7 6 5 5 4 4 3 3 4 6 7 9 10 11 11 10 7 5 5 7 8 9 8 7 5 3 2 2 4 7 11 13 13 13 13 14 14 13 12 10 7 6 5 6 7 8 8 8 6 5 4 4 5 6 8 8 9 8 8 7 7 nan
nan 6 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 11 13 14 13 11 9 9 7 4 3 2 3 3 3 4 4 5 5 6 7 8 10 11 12 12 11 9 9 9 11 12 13 13 13 12 11 10 10 9 8 7 6 5 4 3 4 5 7 10 12 13 12 10 6 4 6 8 10 10 9 7 4 2 1 1 3 5 7 8 11 16 17 16 14 12 11 10 9 8 6 6 6 6 8 9 8 5 4 4 6 8 9 10 10 10 9 8 8 nan
nan 6 7 7 7 6 7 7 7 8 8 8 7 6 5 5 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 11 13 14 13 12 10 8 5 2 1 1 3 4 5 5 5 6 6 7 8 9 10 11 11 11 10 10 10 10 11 13 13 14 14 13 12 12 11 11 12 11 10 7 6 5 5 6 8 10 13 14 13 10 7 6 7 10 11 11 10 7 4 3 2 3 4 4 5 6 9 15 18 16 12 9 8 9 11 10 8 5 3 4 7 10 10 6 3 4 6 8 9 10 11 11 9 8 8 nan
nan 7 7 7 6 6 6 7 7 7 8 8 8 6 5 5 6 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 10 11 12 14 14 12 11 8 5 2 0 1 3 5 6 6 7 8 8 9 9 10 11 10 9 9 9 10 10 10 11 11 11 12 12 11 11 11 11 12 12 13 12 10 8 7 7 8 10 12 14 15 13 10 8 7 8 10 12 12 11 9 6 4 5 6 8 7 6 5 6 10 14 14 11 7 6 7 10 10 8 5 3 4 7 9 9 5 3 4 6 7 8 9 10 10 9 8 8 nan
nan 6 6 6 6 6 6 7 8 8 8 8 8 7 6 5 7 7 7 6 6 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 11 12 12 13 13 12 10 8 5 3 2 3 5 6 6 6 7 9 11 11 11 11 10 8 7 7 8 9 9 9 9 9 9 9 8 9 9 10 10 10 11 12 12 12 10 9 9 10 12 14 14 13 12 9 7 6 7 8 10 11 11 10 7 6 7 10 11 10 6 3 2 5 10 13 12 9 6 6 7 8 7 7 8 8 7 6 5 2 1 3 5 6 7 7 8 9 9 8 9 nan
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nan 8 8 7 7 7 7 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 7 7 8 9 9 9 9 10 11 13 14 15 14 14 13 13 13 13 13 12 12 11 11 11 12 12 11 9 7 6 7 11 14 14 11 5 0 -1 -1 1 7 14 18 16 11 5 2 1 2 4 7 10 12 13 12 10 8 6 6 6 7 9 11 11 10 9 8 8 8 8 9 10 12 15 17 18 15 12 11 11 11 11 11 12 12 11 10 9 9 9 10 10 8 8 8 7 8 9 9 9 7 4 2 3 7 13 14 13 10 7 6 5 5 5 5 6 8 9 8 7 5 5 7 9 11 12 13 nan
nan 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 8 9 8 8 8 9 10 10 11 12 11 9 8 9 9 9 8 8 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 7 7 8 8 9 9 10 11 13 14 15 15 15 14 13 13 12 12 13 14 14 14 13 12 12 11 10 10 10 8 6 6 8 10 10 7 3 0 1 4 8 13 17 16 11 5 1 -0 2 5 8 11 12 12 12 10 9 8 8 8 8 9 10 11 10 9 8 7 7 8 9 9 10 11 12 14 15 14 11 10 11 11 10 9 9 10 9 7 7 8 9 10 10 9 8 7 7 7 8 8 8 7 6 3 1 3 9 16 17 15 12 10 8 6 5 6 8 9 10 8 6 4 5 7 10 11 11 11 nan
nan 8 8 8 7 7 7 6 6 5 6 7 7 7 8 8 8 9 9 9 8 9 9 9 10 11 11 11 10 9 9 10 9 8 8 7 7 7 8 8 8 9 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 9 10 12 14 16 17 17 17 16 14 12 11 12 14 15 16 16 14 13 12 11 10 8 9 10 9 6 4 5 6 6 4 3 4 7 10 12 14 13 10 5 1 0 2 5 8 11 12 12 11 9 8 8 9 9 10 10 10 10 10 9 8 7 7 8 9 10 11 11 10 10 11 12 12 10 9 10 10 8 7 7 7 6 5 5 6 8 10 10 9 7 7 7 7 7 7 7 7 7 5 1 0 5 12 16 16 14 12 10 8 7 7 8 8 7 6 6 6 6 7 9 10 10 9 nan
nan 7 7 7 7 7 7 7 6 6 5 6 7 7 7 7 8 9 9 8 8 9 9 9 10 10 10 10 9 9 9 10 9 8 8 7 7 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 14 16 17 17 17 17 16 14 12 12 14 17 19 19 17 14 13 12 11 10 8 8 8 7 4 2 1 3 5 3 3 6 10 11 12 10 7 4 1 0 2 4 7 10 11 11 11 10 9 8 9 10 11 11 11 11 10 9 8 8 8 8 9 10 11 12 12 10 8 7 8 9 9 9 11 11 9 7 7 7 7 5 4 5 6 8 9 9 8 7 7 6 5 5 6 8 8 5 2 1 3 7 11 11 11 10 10 9 9 8 7 5 3 3 4 5 5 6 8 9 9 7 nan
nan 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 8 8 8 8 9 10 10 10 10 9 9 8 9 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 10 12 14 16 17 17 16 15 15 14 13 12 13 16 19 20 18 15 12 12 12 12 11 9 8 7 6 4 2 2 4 5 3 1 3 7 8 7 5 2 1 1 2 4 6 8 9 10 11 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 10 10 11 11 12 10 5 2 3 6 8 9 11 13 11 9 8 8 8 7 6 5 5 6 8 9 8 7 6 5 4 4 7 9 9 6 3 3 4 5 7 7 7 7 7 8 9 10 8 5 3 2 2 1 2 4 7 8 7 6 nan
nan 6 6 6 6 7 7 8 8 7 6 6 6 7 8 7 7 7 7 8 9 10 10 10 10 10 9 8 8 9 10 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 12 15 19 21 22 22 20 17 14 13 13 13 14 15 17 17 15 13 12 12 12 11 10 9 8 7 6 6 7 8 10 9 3 -2 -2 1 2 3 2 1 2 3 5 6 8 9 10 10 10 10 9 9 9 10 12 13 14 13 12 10 10 9 9 9 9 9 10 10 11 11 11 4 -2 -1 4 7 9 12 14 13 10 8 8 7 6 6 6 5 7 8 8 7 5 5 4 4 5 8 11 12 10 7 5 5 6 6 6 5 4 4 6 8 9 9 8 6 4 1 -0 0 2 5 6 5 5 nan
nan 6 6 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 9 10 10 10 10 10 9 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 12 17 23 28 31 32 30 26 21 16 14 13 13 12 11 11 12 13 13 13 13 12 11 10 9 7 5 5 7 11 15 17 14 5 -2 -4 -3 -1 1 2 3 4 6 8 10 11 12 12 10 9 8 7 7 7 9 11 13 14 14 11 10 9 9 9 9 10 10 10 10 10 11 10 4 -3 -2 4 7 10 12 13 13 10 7 6 5 5 5 6 6 7 7 7 5 4 4 5 5 7 10 13 15 13 10 8 8 8 9 8 6 4 3 4 6 8 9 10 9 6 4 2 2 3 5 5 5 4 nan
nan 7 7 7 8 8 8 9 9 8 8 8 9 9 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 10 10 9 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 12 17 24 31 36 38 35 29 24 20 16 14 12 11 9 6 5 7 10 14 15 15 13 12 10 7 4 2 3 6 11 16 17 13 5 -1 -3 -3 -0 3 4 5 6 8 10 13 14 14 11 9 7 6 5 6 7 9 11 13 14 12 10 8 8 9 9 10 10 10 10 10 11 11 8 3 -1 1 5 8 10 11 12 12 9 6 5 5 5 6 6 6 6 6 6 6 6 6 8 10 12 14 16 16 14 11 11 11 11 10 8 6 4 3 4 6 8 9 10 9 8 6 5 5 6 6 6 6 5 nan
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nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 9 12 17 23 25 25 25 23 20 15 12 11 12 12 11 9 6 2 0 1 5 7 6 6 7 7 7 5 3 3 5 7 8 8 6 4 1 -0 -0 1 3 4 6 7 9 12 12 11 8 7 6 5 4 5 6 7 10 13 15 14 11 8 5 6 8 10 12 12 10 8 7 7 9 8 6 4 4 6 8 10 10 11 11 10 8 6 5 4 5 6 7 8 8 8 9 11 13 14 16 17 17 16 15 14 12 11 10 9 8 6 4 4 4 5 6 6 7 7 8 8 8 7 6 7 9 10 10 8 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 10 10 11 11 10 9 8 9 10 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 11 14 18 20 20 17 16 15 14 12 11 12 14 14 11 8 4 1 -1 -0 2 4 5 5 7 10 11 11 10 8 8 9 9 8 6 4 2 2 2 3 5 6 7 8 9 11 11 8 4 3 3 4 5 5 6 9 12 15 16 14 10 6 4 5 8 12 13 13 10 8 5 3 3 4 4 4 5 6 8 9 10 10 9 8 7 7 6 6 6 7 9 9 9 10 11 13 16 17 17 16 15 13 13 12 11 10 9 7 6 4 4 4 5 6 6 6 6 7 8 8 7 6 5 7 9 11 10 8 7 nan
nan 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 9 9 11 13 16 18 18 16 14 12 12 11 11 12 13 14 12 8 4 0 -1 -0 0 1 5 7 9 11 14 17 18 16 13 11 12 13 13 11 7 5 4 5 7 8 9 9 9 10 10 10 7 4 2 3 5 6 6 7 10 14 17 16 13 9 5 3 5 9 13 14 13 10 7 4 1 0 2 6 8 9 9 10 10 9 7 5 5 5 6 8 9 10 10 10 10 11 12 14 16 17 17 16 14 12 11 10 11 11 10 9 8 6 5 4 4 5 6 7 8 7 7 8 8 7 6 6 7 10 11 10 7 7 nan
nan 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 15 18 18 16 14 13 12 12 12 12 12 12 10 6 2 -1 -0 2 3 4 3 4 6 8 11 14 17 18 17 15 14 15 16 17 15 11 9 9 10 11 12 13 13 12 12 11 11 9 6 4 4 6 7 7 8 11 15 17 16 12 9 6 4 7 10 13 13 11 9 7 4 2 2 6 12 15 16 15 13 10 8 6 5 5 5 6 8 11 12 12 12 12 13 14 15 16 16 15 14 13 12 11 10 10 11 11 11 10 8 7 5 5 5 7 9 10 9 9 9 9 9 8 8 9 11 10 8 5 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 14 17 20 19 16 14 13 13 12 12 12 11 8 5 1 -2 -1 4 9 10 9 6 2 2 3 6 9 12 14 14 15 15 16 16 16 14 12 11 12 13 14 15 16 17 16 14 13 11 9 6 5 5 5 6 7 8 12 16 17 15 13 9 7 6 8 11 13 12 10 7 6 5 4 6 11 16 19 19 17 13 10 7 6 6 6 7 8 10 12 13 13 13 14 14 15 14 13 12 13 13 13 13 12 11 11 11 11 11 11 10 7 5 4 5 8 10 11 10 10 11 11 10 9 9 9 11 10 7 4 4 nan
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nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 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 9 9 10 11 13 16 19 20 21 20 18 15 13 11 9 8 7 6 5 4 5 6 8 13 17 18 15 11 6 1 -2 -2 2 7 8 8 7 8 9 9 8 7 6 7 8 7 7 7 10 15 18 17 12 8 6 5 6 6 6 6 7 9 12 14 14 13 10 9 8 8 7 7 7 7 6 6 6 7 9 11 13 14 15 15 14 11 8 6 5 5 7 10 13 14 15 15 15 13 10 7 6 6 7 8 9 8 7 7 7 7 8 8 8 7 6 4 1 -0 1 4 6 7 7 7 6 6 4 3 3 4 6 9 13 15 14 13 nan
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nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 9 10 13 17 20 22 20 16 11 8 7 7 7 7 6 5 5 7 10 12 15 18 18 15 10 6 3 2 2 1 -1 -2 1 4 6 8 12 15 16 16 14 12 10 8 6 5 5 8 13 17 21 21 17 11 7 5 5 6 7 6 5 5 7 11 14 13 10 6 5 6 7 9 9 9 9 8 4 1 1 2 4 8 11 14 13 11 8 5 3 3 4 7 8 7 7 7 11 14 14 13 13 13 11 8 4 2 3 5 7 7 5 3 3 4 6 9 11 11 9 8 8 8 9 9 10 10 10 11 11 10 9 10 12 12 10 6 1 -1 nan
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nan 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 11 14 17 22 26 27 23 16 7 4 6 8 11 14 16 18 18 16 14 13 13 12 12 10 9 8 7 8 10 13 15 12 7 4 2 3 4 6 7 7 7 8 9 9 8 8 7 8 10 11 12 12 12 11 11 10 9 8 7 6 6 7 7 7 8 8 9 11 12 14 16 18 18 16 12 9 9 10 10 11 10 10 10 10 9 8 8 8 9 10 12 14 13 10 9 9 10 10 7 6 5 5 5 5 5 4 4 5 7 9 10 10 9 9 9 10 10 11 11 11 10 9 9 10 11 11 9 8 6 7 8 8 9 10 11 11 9 7 5 5 6 8 10 11 13 14 14 13 10 9 8 10 10 8 5 1 -1 -2 -2 -1 1 3 nan
nan 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 11 13 18 22 27 29 26 18 9 4 5 8 11 14 16 18 19 17 16 14 13 12 11 9 7 6 5 6 9 13 16 14 8 4 3 4 8 11 12 12 12 12 12 12 10 7 6 6 7 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 6 6 7 9 11 14 17 18 18 15 12 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 13 14 14 13 11 10 8 7 7 6 5 4 4 4 5 5 6 7 8 9 10 10 10 10 10 10 10 9 8 8 7 8 9 10 11 11 10 9 9 9 10 11 13 14 15 13 10 7 6 6 7 9 11 13 14 14 13 10 9 9 10 9 6 4 1 0 -1 -1 0 2 3 nan
nan 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 10 11 13 17 23 28 32 29 20 11 5 5 8 10 13 16 19 20 19 16 14 12 11 10 9 8 6 5 5 8 13 18 18 14 10 8 8 12 14 15 15 14 15 16 16 13 9 8 8 9 9 9 8 8 8 7 7 8 8 8 8 9 9 10 10 9 8 7 6 6 8 11 14 17 18 17 14 12 10 10 10 9 10 10 10 11 11 11 11 11 12 12 13 14 14 13 11 9 8 9 9 7 6 5 5 6 7 8 7 7 8 9 10 11 11 11 11 11 11 10 8 8 9 10 10 11 12 12 12 11 9 9 9 10 11 12 13 13 12 10 8 7 8 9 11 14 16 17 16 13 10 9 8 7 6 4 3 1 0 0 1 3 5 nan
nan 6 6 6 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 8 8 8 8 8 8 8 8 8 8 9 10 11 13 17 23 28 31 30 21 12 6 5 7 9 12 15 18 20 19 16 13 11 10 10 10 9 7 5 5 7 12 19 22 21 18 14 12 13 14 13 12 11 13 15 16 14 12 11 12 12 12 12 11 9 7 5 5 5 6 7 7 10 13 15 15 15 14 13 10 8 8 9 11 14 16 15 14 12 11 10 10 10 10 10 10 10 11 11 12 13 12 12 11 11 11 10 11 11 11 11 10 8 6 5 6 9 10 10 9 7 7 7 8 10 10 11 11 12 12 10 8 8 11 12 13 13 14 15 14 12 9 8 8 9 9 9 9 11 11 11 10 9 9 10 12 15 18 19 19 15 11 9 8 7 6 5 4 4 3 4 5 6 7 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 11 13 16 21 27 30 29 22 11 5 4 5 7 10 13 16 18 18 16 14 11 10 10 10 9 8 6 5 6 11 17 21 22 20 16 13 12 12 11 8 7 7 10 11 11 10 9 10 12 13 14 13 11 8 6 5 5 6 6 8 11 15 18 18 18 17 16 14 12 11 11 11 12 13 13 12 11 11 11 11 11 10 9 9 10 10 11 12 13 12 11 10 9 9 11 13 15 14 12 10 9 7 6 7 10 11 10 9 7 6 5 5 6 8 9 10 10 11 10 7 7 9 11 12 13 14 15 14 13 13 12 12 10 7 5 7 10 12 13 13 11 12 13 14 15 17 18 17 15 11 8 6 5 5 6 6 6 7 8 8 9 9 nan
nan 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 11 13 16 20 25 29 28 22 11 4 4 5 7 9 12 14 16 17 17 15 13 11 10 10 9 7 6 5 6 9 13 17 18 17 15 13 12 12 11 9 7 6 6 7 7 6 6 6 9 12 14 15 13 11 9 8 8 8 8 10 12 15 16 15 13 13 13 12 11 10 12 12 13 12 12 12 12 11 11 11 11 10 9 9 9 9 10 11 11 11 10 10 10 11 13 16 17 14 12 10 9 9 9 10 12 12 11 9 8 7 5 3 4 6 8 8 8 8 7 6 6 6 8 9 8 8 7 9 11 13 14 13 9 5 4 7 11 14 14 13 12 13 14 14 13 13 13 14 13 10 8 6 5 5 6 7 9 9 10 10 10 10 nan
nan 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 10 12 15 19 23 27 27 21 12 6 5 7 9 11 13 15 17 18 18 18 16 14 11 9 7 6 4 4 4 6 9 13 15 15 14 12 12 12 11 11 10 8 8 8 7 6 5 5 6 9 10 11 11 11 12 12 11 11 12 12 12 12 10 8 6 6 7 7 7 8 10 13 13 12 12 11 11 10 10 9 10 9 10 9 9 9 10 10 11 11 11 11 11 13 14 16 15 12 9 8 8 10 12 14 16 15 13 11 10 8 6 5 6 8 9 8 6 5 5 6 6 6 6 6 5 2 0 1 5 8 10 10 6 3 3 5 9 11 12 12 11 11 11 11 10 10 11 12 12 11 9 8 7 7 7 8 9 9 10 10 11 11 nan
nan 6 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 10 11 14 18 22 26 27 22 14 9 6 7 9 11 14 16 18 19 19 19 19 16 13 10 7 5 4 3 3 4 8 12 15 15 14 12 11 10 10 9 9 9 10 10 10 9 8 8 7 7 7 6 8 10 12 13 14 15 15 13 11 8 6 4 3 4 5 5 6 7 9 12 12 11 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 12 13 14 15 14 12 9 8 7 7 9 12 16 19 19 17 13 11 10 9 9 9 10 9 7 4 4 6 8 9 8 8 8 6 3 1 1 4 7 9 9 6 3 2 2 4 7 10 11 9 6 5 6 8 10 12 12 11 11 10 10 9 9 8 8 8 9 10 11 12 12 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 13 17 22 26 28 25 16 10 7 7 8 10 11 13 16 18 19 20 20 19 16 13 10 8 7 5 4 4 7 11 14 15 14 11 9 7 7 6 6 7 8 10 11 11 11 11 10 9 7 6 7 9 11 13 14 15 15 12 9 8 7 9 10 10 9 7 6 6 8 9 10 9 8 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 8 7 9 14 19 21 21 17 14 12 12 12 11 9 7 4 2 4 7 10 12 12 12 11 8 6 5 6 9 12 13 13 10 6 3 2 3 7 11 11 7 2 0 2 5 10 13 13 12 11 10 10 10 9 8 7 7 7 8 10 11 11 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 7 8 8 8 8 8 8 9 10 11 13 16 22 28 29 27 18 9 7 6 6 7 9 11 13 16 18 20 21 21 20 18 15 13 11 9 7 6 7 11 14 14 13 9 7 6 6 6 7 7 9 10 11 11 11 12 11 10 8 8 8 8 9 9 11 12 13 12 10 11 14 18 20 17 13 8 4 3 4 6 8 8 9 9 9 10 10 11 11 12 12 12 12 11 10 10 9 10 10 10 10 9 9 11 13 15 15 12 8 6 7 11 15 18 20 19 15 11 9 10 9 8 5 3 2 3 6 9 12 15 15 13 9 6 5 7 10 13 14 13 12 10 8 7 7 9 12 11 8 3 0 1 4 9 11 12 11 10 10 9 9 9 8 7 6 6 7 8 9 10 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 7 8 8 8 8 9 9 9 10 13 17 22 28 31 27 19 10 6 5 5 7 9 11 12 14 17 18 19 19 19 18 17 15 14 12 10 10 11 13 15 16 14 12 10 10 11 12 13 13 14 13 12 11 10 10 10 9 9 8 7 7 6 6 7 9 11 12 13 15 18 20 21 17 12 8 4 2 3 6 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 8 8 7 10 14 16 16 11 6 4 6 8 10 12 14 15 12 6 3 4 7 9 9 7 4 3 5 7 9 13 14 12 8 5 4 5 6 8 9 11 12 13 12 11 10 11 12 12 10 8 5 4 6 8 9 10 10 10 9 9 8 8 8 7 6 6 6 7 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
46 40 36 35 37 39 41 42 40 36 32 32 31 30 29 29 28 26 24 24 24 21 23 22 22 21 20 19 19 19 18 18 18 18 17 18 17 17 15 15 15 14 13 13 13 11 11 11 11 11 12 11 10 12 16 17 18 19 22 25 23 15 10 8 10 12 12 9 6 6 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 2 54 128 225 342 441 465 402 301 209 130 65 22 3 1 27 282 169 70 12 1 9 36 101 225 309 306 252 201 186 184 202 227 256 432 686 859 916 982 1004 823 611 481 439 439 456 489 549 519 465 482 555 621 651 657 644 710 802 889 1016 1103 1076 1026 1147 1285 1243 1061 911 805 749 751 754 692 599 532 451 357 270 199 146 123 150 206 250 266 260 253 271 348 655 604
34 33 31 32 36 38 39 39 37 31 25 29 29 27 28 29 29 28 26 25 23 23 24 24 24 22 21 20 21 21 20 19 19 18 18 18 18 17 16 16 15 15 14 13 12 11 11 11 11 11 11 10 9 10 13 12 14 17 17 12 11 10 9 7 7 6 7 6 6 6 6 5 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 3 3 3 3 3 3 3 3 3 3 3 2 2 2 12 72 134 224 353 487 546 462 303 160 67 20 2 0 0 0 0 5 1 0 4 21 55 110 204 255 232 192 173 176 181 196 226 248 344 554 735 802 795 731 581 463 430 434 432 415 407 447 500 450 431 487 574 629 649 665 721 779 805 895 1009 1053 1024 1038 1082 1051 867 799 794 784 747 680 584 483 452 383 295 221 168 126 102 117 173 211 230 238 236 231 247 326 272
27 26 27 31 34 33 33 32 30 27 24 31 28 26 26 29 30 30 28 24 22 24 26 26 26 25 23 23 24 23 21 20 17 16 16 17 17 17 17 16 15 15 14 12 11 11 11 11 11 12 11 10 9 9 8 9 12 12 10 8 8 9 8 7 6 6 6 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 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 6 23 56 90 151 254 397 562 606 452 225 69 15 2 0 0 0 0 0 0 0 0 15 50 98 145 190 208 188 169 165 171 181 196 216 245 282 406 553 625 600 516 436 411 434 441 429 403 376 376 430 439 452 477 561 642 666 646 635 648 661 741 889 1020 1076 1051 957 852 684 716 792 804 718 573 445 384 392 352 271 198 145 105 82 93 143 177 201 228 244 233 200 169 144
23 21 21 23 27 27 24 23 21 22 25 30 28 26 24 27 29 28 25 23 23 26 26 25 26 26 24 23 23 22 21 19 18 18 16 16 17 17 16 16 15 15 14 12 11 11 11 11 11 11 10 9 9 9 9 8 9 9 8 8 8 8 7 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 7 30 64 95 102 152 266 414 534 493 297 90 7 0 0 0 0 0 0 0 0 0 3 38 90 138 170 185 192 191 180 175 181 197 216 228 232 255 312 413 478 471 425 394 387 393 424 430 406 377 376 418 473 553 545 608 609 551 485 459 484 535 616 763 965 1101 1049 854 691 603 734 811 728 549 377 296 314 368 366 297 211 141 92 68 76 109 134 164 192 228 227 189 151 133
21 21 18 19 23 24 20 17 15 19 25 28 29 31 25 28 29 26 24 23 23 26 27 25 25 25 25 24 23 23 21 19 17 17 16 16 18 17 16 16 15 14 13 12 11 11 12 12 12 12 10 9 9 9 9 8 9 9 9 9 9 8 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 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 2 3 13 55 81 92 96 121 220 327 335 238 108 21 0 0 0 0 0 0 0 0 0 2 12 61 110 151 186 211 223 220 205 194 196 210 232 248 251 261 287 342 378 376 362 354 348 340 361 377 350 304 281 314 436 637 567 478 411 359 330 341 390 459 535 654 848 1016 954 738 584 589 737 724 545 364 257 245 302 369 398 362 281 183 106 65 58 72 85 126 152 199 196 154 122 122
20 18 16 17 26 25 21 17 15 18 26 26 30 34 33 31 29 27 25 22 21 23 28 28 29 27 26 25 24 23 22 21 20 19 18 18 19 17 18 17 16 15 14 13 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 7 42 67 86 78 72 116 170 133 63 17 1 0 0 0 0 0 0 0 0 0 5 22 59 97 145 209 264 285 272 243 225 225 234 249 262 267 270 282 307 325 321 306 289 269 242 230 249 253 209 175 180 240 314 292 267 277 279 282 296 326 376 458 589 737 918 838 612 471 504 600 542 374 268 225 229 274 346 405 423 389 277 158 80 49 51 70 103 124 144 142 119 101 109
16 14 16 22 30 24 19 16 16 19 24 25 28 31 30 27 24 25 24 22 22 23 27 29 30 28 27 26 24 22 21 21 21 20 20 20 18 17 17 16 15 15 14 13 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 7 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 2 2 2 1 5 23 69 96 61 28 27 40 28 6 1 0 0 0 0 0 0 0 0 0 0 5 19 41 74 140 246 332 352 319 279 260 258 264 272 277 280 283 290 301 308 309 291 251 207 170 151 151 164 148 144 157 202 250 260 246 237 245 251 253 262 298 393 558 640 759 644 453 350 370 412 365 275 241 234 235 261 328 408 462 499 416 247 116 57 49 60 76 107 142 153 135 112 108
11 13 20 27 27 20 16 13 14 16 20 24 28 29 26 21 19 19 21 25 26 26 28 30 29 27 27 27 25 23 21 20 19 19 20 20 20 18 17 16 15 15 15 14 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 8 33 88 110 47 13 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 7 16 33 70 143 264 362 370 335 297 279 280 289 299 302 300 300 305 311 315 317 300 255 198 150 122 115 120 128 145 161 181 199 205 197 194 210 229 232 234 271 377 517 523 406 344 302 288 293 293 269 241 246 261 272 300 359 436 513 584 575 362 180 87 57 51 52 62 94 123 124 105 92
12 16 21 25 21 16 15 13 11 13 18 22 26 28 27 21 17 18 21 26 28 26 28 31 28 26 26 27 26 26 24 22 21 20 20 22 22 20 18 17 16 15 14 13 13 12 12 12 11 9 9 9 9 9 9 9 9 9 9 9 8 6 6 6 6 7 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 1 2 12 47 94 98 35 9 1 0 0 0 0 1 3 3 1 0 0 0 0 0 3 8 14 36 82 159 272 387 408 361 316 293 292 301 315 315 306 299 302 312 320 318 301 256 195 147 120 112 116 130 148 166 175 177 174 170 172 194 229 246 249 283 355 408 353 215 201 226 242 251 252 252 259 277 300 324 346 391 469 560 645 702 491 255 128 78 53 33 25 41 72 83 68 61
14 17 20 21 16 15 13 11 11 15 19 22 25 25 24 20 18 20 24 28 29 26 26 29 28 25 26 27 26 26 26 25 23 22 21 22 22 20 18 17 16 15 14 13 12 12 12 11 10 9 9 9 9 9 9 10 9 9 9 9 8 6 6 6 6 7 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 0 4 21 57 77 60 24 4 1 0 0 0 5 16 31 38 7 0 0 0 0 0 0 3 17 58 115 189 292 413 455 398 348 321 311 314 320 312 292 284 292 306 313 306 284 244 185 146 128 120 120 132 149 166 167 158 149 147 163 198 248 279 280 283 280 262 227 194 189 198 210 239 269 286 295 307 321 341 385 434 493 558 651 755 605 315 156 95 61 26 4 2 11 20 22 30
15 16 17 16 14 15 13 12 15 20 22 22 25 31 26 19 18 22 32 35 32 30 29 31 31 26 28 25 23 24 26 27 24 22 21 22 23 21 19 17 16 15 14 14 13 12 12 11 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 1 2 10 39 65 50 24 10 3 0 0 0 0 24 71 111 96 5 0 0 0 0 0 0 1 33 97 165 238 334 447 512 447 380 342 331 334 330 306 274 263 277 296 306 299 275 236 182 167 160 142 131 137 152 167 166 154 147 153 182 230 281 302 284 242 207 208 251 290 259 204 195 228 272 300 306 305 315 348 444 497 512 530 627 755 651 350 172 108 67 26 0 0 0 1 3 12
13 15 15 14 14 15 15 14 21 24 24 24 27 34 28 22 20 27 38 37 34 34 37 37 35 32 34 26 23 24 26 27 26 23 22 23 22 20 20 18 16 14 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 9 8 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 5 19 51 62 29 7 1 0 0 0 0 17 85 158 153 63 0 0 0 0 0 0 0 8 50 129 206 283 372 455 485 419 378 351 354 347 326 295 265 244 245 267 288 292 274 237 194 192 194 168 150 150 163 176 182 183 196 213 228 247 267 266 241 202 214 260 330 363 313 218 172 200 247 284 303 309 318 359 438 461 488 483 577 701 633 368 176 111 58 17 0 0 0 0 0 6
14 15 15 14 14 15 15 15 19 21 24 27 29 30 26 21 23 33 39 38 36 36 38 39 38 38 38 36 32 32 30 27 25 23 22 24 20 18 18 17 16 14 12 13 12 12 11 10 8 8 8 9 9 9 9 9 9 9 8 7 7 7 6 7 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 4 13 33 53 24 6 1 0 0 0 6 80 211 257 130 3 0 0 0 0 0 0 0 18 74 155 230 305 375 392 367 350 371 399 408 363 303 247 206 181 180 210 247 266 260 235 212 222 212 177 162 164 180 199 218 236 258 258 222 194 189 192 194 215 264 297 327 330 283 205 150 160 211 254 295 345 398 442 467 449 525 476 536 637 600 388 189 122 60 16 0 0 0 0 0 6
17 16 16 14 14 14 14 13 14 16 22 27 30 28 23 20 25 35 40 39 37 38 38 36 37 38 39 40 38 36 33 28 23 21 22 23 20 17 16 15 14 12 12 12 13 12 12 11 11 10 9 9 9 9 9 9 9 8 7 6 6 7 7 7 5 4 5 5 5 5 5 4 5 5 5 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 0 0 4 22 50 48 12 2 0 0 0 22 118 262 251 87 0 0 0 0 0 0 0 4 35 101 177 241 307 374 385 367 380 434 476 464 365 275 201 146 117 123 151 189 218 230 238 245 246 194 154 149 165 195 226 248 257 255 231 166 130 134 164 205 257 303 305 314 323 276 198 133 130 176 224 288 373 453 496 506 514 572 510 546 622 601 439 249 161 100 34 5 0 0 0 0 4
19 17 17 17 16 14 12 10 11 14 18 23 25 24 22 21 26 35 40 34 32 34 35 33 34 38 38 38 38 35 33 29 24 22 22 22 20 17 14 14 11 10 10 12 13 12 11 11 10 10 10 9 8 9 9 9 9 8 7 7 7 6 6 6 6 5 5 5 5 5 4 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 0 0 0 0 3 22 61 80 26 8 2 0 0 15 61 110 76 15 0 0 0 0 0 0 0 20 67 128 187 237 289 355 392 392 430 483 491 437 322 232 170 133 118 119 128 150 197 244 306 306 239 153 114 135 167 206 238 248 235 217 210 177 176 198 231 269 309 349 347 330 403 461 381 228 138 155 205 294 365 430 485 515 528 543 510 549 631 641 531 360 238 159 70 17 1 0 0 1 5
16 15 15 16 15 13 10 8 10 13 16 20 23 23 21 23 28 34 35 30 27 31 33 35 36 40 37 34 34 31 29 26 21 20 22 22 20 16 13 12 9 8 10 11 12 12 11 11 10 10 10 9 8 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 5 5 5 4 5 4 5 5 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 1 1 2 2 2 2 2 1 4 5 3 1 0 0 1 13 56 72 34 17 5 1 0 3 9 11 0 0 0 0 0 0 0 1 4 36 79 127 175 218 262 318 368 398 462 477 433 359 278 219 189 173 162 146 136 160 250 321 415 357 225 119 96 133 175 208 221 209 190 183 199 223 265 299 309 309 322 361 409 385 381 411 385 268 155 151 187 263 292 344 423 502 549 570 563 609 690 726 670 536 374 207 103 32 6 0 0 1 4
13 12 12 12 12 11 9 8 13 16 17 19 21 20 18 22 29 31 31 31 31 34 34 34 36 37 36 35 32 27 24 24 25 24 23 22 19 15 12 10 8 7 9 12 12 12 12 11 11 10 10 10 9 9 9 9 8 8 7 6 6 7 6 6 6 6 5 5 5 5 4 4 4 5 5 4 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2 2 1 0 13 16 9 2 0 0 0 3 24 28 16 11 4 0 0 0 1 0 0 0 0 0 0 0 0 3 13 30 45 84 141 194 243 295 343 406 446 414 364 314 271 235 209 188 169 144 116 119 185 254 340 226 108 60 84 135 176 196 193 175 161 167 198 244 297 326 308 277 284 353 453 467 422 421 380 267 166 146 176 214 222 290 376 450 511 575 638 706 760 780 756 661 474 227 97 30 7 1 0 0 1
9 9 9 12 13 11 11 14 18 21 19 19 19 18 18 22 30 26 27 32 34 34 30 29 30 30 30 33 35 32 26 26 28 26 23 21 18 14 11 10 10 7 10 13 13 12 11 11 11 11 10 10 9 9 9 8 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 4 5 5 4 3 3 3 3 3 3 3 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 1 1 1 4 18 18 7 1 0 0 0 0 3 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 8 19 20 16 36 95 167 232 286 331 372 376 357 333 303 269 232 197 170 152 128 85 51 51 76 116 35 6 24 73 123 162 184 196 199 200 204 219 248 282 297 267 242 272 348 421 443 419 374 278 184 144 162 193 197 212 285 352 395 431 483 553 620 658 666 657 597 441 222 79 19 4 0 0 0 0
8 6 7 10 12 13 14 18 23 24 22 17 17 16 18 22 26 23 26 36 33 29 27 27 25 23 24 27 29 29 28 26 26 24 21 19 16 12 10 12 11 9 11 13 14 13 12 11 11 11 11 10 9 8 8 8 8 8 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 1 2 2 1 1 3 6 10 13 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 11 20 19 13 15 47 122 207 272 306 317 323 324 311 284 248 213 184 166 162 145 84 27 4 4 4 0 0 11 52 103 145 176 211 242 248 226 213 224 250 268 256 249 299 347 369 364 336 278 197 140 167 224 251 235 235 285 334 352 346 338 349 384 429 454 458 421 345 239 134 49 11 2 0 0 0
7 5 7 9 9 10 12 15 16 19 20 18 16 17 21 25 27 27 29 38 28 26 27 27 24 21 22 24 24 23 22 21 22 21 20 18 15 13 12 13 12 12 13 13 14 13 12 11 11 11 11 11 9 9 8 8 8 8 8 6 6 6 6 6 6 5 4 4 4 4 4 5 4 4 3 4 4 3 3 2 2 2 2 1 0 0 0 0 0 1 2 2 2 5 8 5 1 3 7 8 10 13 14 13 9 5 1 0 0 0 1 8 16 10 3 0 1 2 1 0 0 0 0 0 0 0 0 0 1 14 24 25 18 12 22 67 152 225 260 271 283 289 275 245 216 195 184 185 194 193 123 32 0 0 0 0 0 2 36 79 114 147 190 233 249 195 170 183 221 262 285 288 332 362 357 337 307 226 189 172 243 305 319 299 291 313 341 337 302 257 230 236 267 296 307 294 287 255 173 71 12 2 0 0 0
6 6 11 11 10 11 13 14 16 19 22 22 21 22 26 28 28 27 29 31 23 25 25 24 23 24 28 33 24 21 20 21 24 23 21 18 16 14 14 15 14 15 15 14 14 13 12 11 11 11 11 11 10 9 8 8 8 8 8 7 6 6 6 6 5 6 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 0 0 0 0 1 2 2 5 21 41 49 51 49 46 41 36 30 25 21 15 8 3 0 0 5 28 52 52 25 7 2 4 4 2 0 0 0 0 0 0 0 0 1 5 26 37 33 21 13 17 37 96 162 201 218 224 220 210 193 183 185 193 205 221 231 189 75 17 2 0 0 0 0 14 41 70 103 147 198 246 193 150 150 196 266 321 346 373 402 394 341 296 278 245 244 287 332 348 343 337 341 349 341 315 278 247 232 234 243 248 250 255 220 137 48 3 0 0 0 0
9 11 14 11 14 16 18 21 23 24 24 25 23 22 26 28 29 29 29 25 20 21 22 21 23 26 27 23 18 19 19 23 25 23 20 18 15 14 15 16 16 16 16 15 14 13 12 11 11 11 11 10 10 9 9 8 8 8 8 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 2 3 3 2 2 1 0 0 0 0 0 0 1 2 1 2 12 37 72 92 106 99 83 66 50 32 21 17 12 6 2 0 1 14 90 87 53 22 7 2 1 0 0 0 0 0 0 0 0 0 0 5 18 36 39 28 18 17 27 47 82 121 141 145 139 133 132 138 155 179 200 218 240 267 260 146 49 10 1 0 0 0 4 21 49 77 115 168 225 228 186 172 208 274 337 378 399 414 404 348 303 285 264 266 296 330 342 340 336 333 331 328 319 309 299 281 262 248 237 234 221 170 96 30 0 0 0 0 0
11 13 15 15 18 19 20 22 23 22 22 22 22 21 23 25 27 27 26 21 18 17 17 19 20 22 22 19 17 19 19 26 25 21 18 17 16 15 17 17 16 16 16 14 14 13 12 11 11 11 11 10 10 9 9 8 8 8 7 6 6 6 6 6 5 6 5 4 4 4 4 4 4 4 4 3 3 3 2 2 1 1 0 0 0 0 0 1 5 7 11 13 17 30 48 62 72 66 54 38 23 10 2 1 2 1 0 0 3 19 93 56 24 7 2 1 0 0 0 0 0 0 0 0 0 0 5 14 24 27 21 13 12 22 42 69 97 113 102 82 63 60 76 102 133 166 191 214 243 275 267 179 78 23 4 0 0 0 1 9 33 59 94 138 185 218 215 203 220 261 315 364 396 409 411 388 345 296 262 264 290 298 294 285 278 274 273 273 278 291 293 288 273 251 227 213 191 142 79 27 2 0 0 0 0
12 14 15 17 18 18 18 19 20 19 18 17 18 18 19 22 22 21 20 20 17 14 12 12 14 16 18 20 21 21 22 26 24 19 16 17 18 18 19 17 16 16 15 13 13 13 12 11 11 11 11 10 10 9 9 8 8 8 7 6 6 6 6 6 6 6 5 4 4 4 5 4 4 4 4 3 2 3 2 1 0 0 0 0 2 14 41 58 82 120 104 51 20 11 12 15 17 17 11 5 1 0 0 0 0 0 0 0 1 9 28 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 19 29 26 15 5 5 11 19 45 87 120 120 82 49 37 46 70 98 126 151 170 185 197 214 212 171 109 43 12 1 4 8 10 15 39 61 83 115 154 188 195 202 218 246 289 338 382 410 425 396 338 283 255 254 254 243 230 222 219 222 227 234 245 263 269 271 266 245 212 191 181 142 83 32 5 0 2 7 6
11 14 14 13 14 15 15 15 15 14 13 14 14 13 15 17 18 16 16 17 16 13 12 13 14 15 16 20 22 21 21 23 22 15 15 18 21 21 20 18 15 15 15 15 14 13 12 12 11 11 11 10 10 9 8 8 8 8 7 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 2 1 0 0 4 14 41 91 160 225 278 276 191 87 30 13 7 2 0 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 2 25 45 38 21 7 4 5 9 35 94 138 129 79 47 45 65 96 125 145 152 149 146 138 128 128 133 122 76 27 6 17 43 64 77 110 112 103 109 119 132 150 183 225 262 284 298 318 340 345 317 268 233 219 218 212 205 201 202 210 222 235 244 249 257 260 262 274 265 234 211 202 162 89 30 4 0 5 24 27
11 11 11 10 13 13 12 12 11 9 9 9 10 11 11 12 14 16 17 18 17 17 18 16 15 15 16 17 19 19 20 21 20 16 15 18 19 19 19 17 16 15 15 14 14 12 11 11 11 11 11 11 10 8 8 8 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 0 0 20 65 118 169 225 298 336 284 172 76 33 45 48 23 5 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 4 22 53 53 32 11 2 0 4 22 91 150 138 84 48 42 64 107 148 164 156 131 104 85 79 94 111 116 94 42 7 27 87 162 234 272 251 216 162 126 116 137 182 228 260 271 261 253 253 248 231 195 162 147 159 193 216 223 229 238 252 265 270 266 264 264 274 315 325 296 257 226 177 87 25 2 0 11 41 54
9 8 8 10 11 11 10 9 7 7 7 8 10 11 10 10 12 15 17 18 19 20 18 14 12 13 14 16 18 20 22 23 22 18 16 18 18 18 18 17 16 16 15 14 13 12 11 10 11 11 11 10 10 9 8 8 8 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 1 0 1 49 118 133 132 153 189 202 157 91 47 57 115 149 71 22 3 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 0 4 12 27 49 56 34 10 0 0 3 19 95 167 144 85 38 21 29 59 93 109 103 83 56 41 42 50 69 87 82 43 8 39 122 219 309 363 367 301 216 164 132 133 163 204 237 253 241 225 217 214 208 193 181 190 207 223 236 245 254 263 274 286 284 272 265 269 302 365 372 320 251 201 157 75 17 1 0 19 56 70
6 6 7 9 9 8 6 5 4 5 6 7 9 10 9 9 10 10 12 14 16 17 16 15 12 12 13 14 16 19 23 24 22 19 18 19 19 19 18 17 16 15 15 14 13 11 11 11 11 11 10 10 9 9 8 8 8 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 1 2 21 96 192 143 95 75 69 59 49 46 47 92 164 189 86 27 5 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 7 19 33 48 55 38 12 2 2 10 37 101 145 112 62 23 6 5 13 26 33 33 27 19 12 10 12 30 54 67 59 45 64 131 204 259 297 307 269 223 182 146 133 150 186 218 224 208 196 196 202 211 226 260 271 267 259 253 254 264 276 277 284 276 261 255 268 313 357 328 249 170 121 92 56 16 3 1 27 67 82
5 5 7 9 7 5 4 4 2 4 6 8 10 10 10 11 11 11 11 12 13 13 14 14 13 12 13 14 15 17 19 20 20 18 19 19 18 18 17 15 16 15 14 13 13 12 11 11 11 11 11 10 9 8 8 8 8 7 6 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 2 1 0 9 56 152 254 173 125 74 36 17 19 31 46 84 125 120 54 15 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 3 14 29 46 56 46 17 4 8 32 56 69 66 45 22 7 1 0 1 2 4 5 4 2 1 1 1 20 39 57 68 74 84 113 153 192 228 240 227 212 185 161 156 166 181 187 175 158 157 163 175 191 218 263 286 282 271 261 261 272 286 273 269 261 249 256 282 303 283 225 164 115 76 51 45 22 9 7 37 74 88
5 5 6 7 5 4 3 3 5 7 10 12 12 12 12 13 12 11 11 11 11 11 12 12 12 11 13 15 14 15 16 16 15 17 19 18 17 16 15 16 17 15 14 13 13 11 11 11 11 11 11 11 9 9 8 8 8 7 6 6 6 6 6 6 6 4 4 4 4 4 4 3 3 3 3 2 2 2 1 0 31 95 174 214 148 154 103 57 29 16 15 29 48 56 45 22 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 2 5 19 39 53 48 23 4 17 46 43 24 12 6 2 0 0 0 0 0 0 0 0 0 0 0 1 6 11 19 31 39 47 68 113 174 193 204 202 191 175 165 167 172 171 162 147 131 129 132 141 151 175 216 244 248 248 244 243 259 285 283 275 266 243 241 257 256 225 199 186 175 144 97 58 35 19 23 50 76 79
5 6 6 6 4 2 3 5 9 12 13 14 13 12 12 13 12 10 10 11 11 10 11 13 11 10 11 12 12 13 14 13 14 16 17 17 16 15 15 15 16 15 14 13 12 11 11 11 11 11 11 10 9 8 8 8 7 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 2 2 2 1 1 2 11 67 116 141 143 135 158 122 79 39 15 4 5 12 15 14 10 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 1 4 5 3 10 27 42 42 24 4 15 39 20 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 17 22 49 113 170 171 167 158 146 138 141 154 165 171 168 155 134 120 119 126 139 157 178 195 203 216 224 222 237 268 287 295 278 251 245 253 255 232 198 202 222 211 165 106 65 37 31 43 54 50
4 5 7 5 3 3 5 9 11 11 11 10 9 9 9 9 9 8 8 10 11 10 10 11 9 9 10 10 10 11 11 12 14 16 17 16 16 15 15 15 15 14 14 13 11 11 11 11 11 11 11 10 9 8 8 8 7 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 2 2 2 1 0 6 23 59 81 77 93 116 126 106 66 30 10 2 0 1 3 7 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 5 23 34 23 11 22 37 35 18 2 7 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 20 43 100 143 125 98 79 72 79 100 128 160 193 209 194 162 132 120 138 160 176 183 183 181 185 195 201 213 240 266 271 259 255 259 265 277 293 298 223 237 254 227 171 115 66 28 15 16 15
4 5 6 5 4 5 8 10 10 8 7 6 6 6 6 6 6 6 7 9 10 9 10 9 8 8 9 9 9 10 10 12 14 15 15 15 14 14 14 14 14 14 13 13 11 12 12 11 11 11 11 10 9 8 8 8 8 7 6 6 6 6 6 6 4 4 4 4 3 3 3 2 2 2 2 1 0 0 4 10 17 22 27 46 59 63 53 30 12 3 1 0 3 6 9 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 8 40 63 62 54 55 55 41 15 0 3 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 4 0 7 23 33 20 13 16 31 59 96 141 197 257 268 239 198 170 169 177 185 192 196 199 200 196 193 197 213 224 221 224 239 254 266 278 296 319 320 259 282 269 232 179 112 46 9 1 0
4 5 5 4 4 6 8 9 8 6 6 6 5 5 5 5 4 5 6 7 8 8 7 7 7 7 7 8 9 10 12 13 14 14 12 13 13 14 13 13 13 13 12 12 11 12 12 11 11 11 11 10 8 8 8 8 8 7 6 6 6 6 6 5 4 4 4 3 3 3 3 2 1 1 1 0 0 0 0 1 1 2 6 10 13 16 13 6 2 1 0 1 6 12 13 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 44 78 109 110 87 55 14 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 1 0 1 8 26 58 104 159 259 299 296 268 236 215 207 208 210 209 213 222 220 198 199 203 204 206 215 231 248 261 274 285 299 305 254 286 282 263 231 179 110 46 11 1
5 5 5 5 5 6 7 7 6 5 6 6 5 4 4 4 5 5 5 6 7 7 6 7 7 7 7 8 9 11 12 13 13 13 12 13 13 12 12 12 13 13 12 11 11 12 11 11 11 11 11 10 9 8 8 8 8 7 6 6 6 5 5 4 4 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 7 13 13 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 12 50 83 86 63 41 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 28 62 111 209 267 292 292 281 265 251 243 243 243 241 245 243 218 204 207 217 226 232 236 242 256 273 275 263 257 269 286 292 284 275 263 231 157 67 15
6 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 6 7 8 9 8 7 7 8 9 10 10 11 10 11 11 12 13 11 11 11 12 13 13 12 11 11 11 11 12 11 11 10 9 9 9 8 8 8 7 6 6 6 5 4 4 4 4 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 4 9 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 10 15 17 13 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 3 12 29 65 134 216 260 281 289 288 277 260 258 275 266 256 255 252 228 222 229 240 248 251 251 254 274 272 257 249 262 281 315 325 334 359 366 312 221 74
6 5 4 4 5 5 5 6 4 5 5 4 3 3 5 6 6 5 5 6 6 6 6 6 6 7 8 9 9 8 8 8 8 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 9 9 9 9 9 9 7 6 6 6 6 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 5 14 45 109 184 236 262 275 274 255 228 227 256 242 258 288 299 298 287 272 262 261 266 270 267 279 276 271 275 293 325 378 392 390 429 450 422 385 198
6 5 5 4 4 5 6 6 6 6 5 3 3 4 5 5 4 4 5 5 5 5 6 6 6 6 7 8 7 7 7 7 8 9 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 8 8 7 6 6 6 6 6 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 35 82 131 175 192 195 182 151 121 131 179 189 239 267 293 340 364 320 258 232 242 259 258 264 267 280 303 335 373 416 434 419 440 459 450 414 295
6 6 5 4 5 5 6 6 5 4 3 2 3 4 4 4 3 5 6 5 5 6 6 5 5 6 6 6 5 6 6 7 8 9 9 10 11 11 11 12 13 12 11 11 10 9 9 8 9 9 9 9 8 7 6 6 6 6 6 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 39 49 54 59 56 42 29 40 79 87 172 195 211 256 287 237 163 149 185 220 228 242 262 293 328 355 369 380 396 404 414 429 417 360 268
6 6 5 6 6 6 6 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 5 5 5 6 6 5 6 6 7 8 8 8 9 11 11 10 11 11 11 10 9 9 8 8 8 9 9 9 8 7 6 6 6 6 6 6 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 4 2 8 26 47 102 124 142 149 128 73 67 98 156 198 221 249 284 319 338 335 318 309 328 358 373 358 311 239 152
6 5 5 5 5 5 5 4 3 3 3 3 4 4 3 3 4 4 3 3 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 8 9 9 9 10 10 11 10 8 8 8 8 8 8 8 7 7 6 6 6 6 6 5 5 5 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 34 65 64 37 11 30 100 164 209 244 278 307 313 287 252 233 243 275 302 275 213 149 97 62
6 5 4 4 5 5 5 4 3 2 3 3 3 3 3 3 4 3 4 4 3 3 3 3 4 5 5 5 5 5 5 6 6 6 7 8 8 8 9 10 11 10 9 8 8 8 8 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 9 13 7 2 5 29 117 166 203 231 244 237 209 179 175 197 225 225 181 125 77 56 56 66
7 5 4 4 4 5 5 4 2 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 6 7 8 8 8 8 9 10 10 10 9 8 8 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 24 80 107 126 135 131 118 106 116 169 226 229 164 73 34 28 44 68 84
5 4 4 5 5 5 5 4 3 3 4 3 2 3 2 2 2 3 3 2 2 3 3 2 3 3 3 3 4 4 5 6 6 7 7 6 7 8 9 9 9 9 8 8 8 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 29 36 40 42 49 67 103 158 199 191 122 46 25 31 41 60 78
4 4 4 4 5 5 4 4 3 3 3 3 3 2 3 2 2 2 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 17 19 6 1 0 0 0 0 0 0 0 0 0 1 2 3 5 10 21 41 72 112 143 143 105 59 35 35 36 49 78
5 4 4 4 5 5 4 3 2 3 3 2 3 3 2 2 2 2 2 2 2 1 2 2 2 3 3 4 4 4 4 4 4 4 5 5 6 8 7 7 8 8 8 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 20 18 6 0 1 2 1 0 0 0 1 3 4 4 4 3 2 3 7 16 33 56 78 83 72 55 39 33 39 66 101
5 5 4 4 6 5 4 3 3 3 3 3 2 2 2 2 2 2 1 1 2 2 1 1 2 3 3 4 4 4 4 3 3 4 5 6 7 7 6 6 8 8 8 7 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 9 6 5 4 2 0 2 6 15 24 26 25 21 15 8 4 2 3 8 17 28 36 41 44 46 51 68 106 134
5 4 3 4 5 5 4 3 3 3 4 3 3 3 3 2 2 1 2 1 1 1 1 1 1 2 2 3 3 3 3 4 4 5 6 7 8 7 7 7 8 8 7 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 19 18 13 8 5 3 6 15 29 53 65 72 69 58 42 25 14 7 6 5 6 11 19 32 49 68 84 100 122 127
5 4 4 6 6 5 4 3 3 3 4 4 3 2 2 2 1 1 1 1 1 0 0 0 1 1 2 2 2 2 3 3 4 5 5 5 6 5 6 7 8 8 7 6 6 6 6 4 4 4 4 4 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 32 31 25 18 15 17 28 42 55 70 88 106 118 117 100 70 40 28 27 25 21 16 17 31 60 86 97 102 111 96
5 5 5 5 6 5 4 4 3 4 4 5 4 3 2 1 1 1 1 1 1 0 0 0 1 1 1 2 2 2 3 4 4 4 4 4 4 4 7 8 8 7 7 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 22 32 34 32 32 36 43 67 78 78 81 96 125 161 188 192 163 114 85 80 76 63 44 29 28 58 107 124 109 88 76
6 6 5 5 6 5 4 3 4 4 4 4 2 2 2 1 1 1 1 1 0 0 0 0 0 1 1 2 2 3 3 3 2 3 3 3 4 5 6 7 7 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 20 30 45 60 72 109 117 112 111 123 150 188 223 238 218 174 139 127 133 127 107 81 65 80 128 144 106 63 57
5 5 4 5 6 5 4 3 3 4 4 4 3 2 1 1 1 1 1 0 0 0 0 0 0 1 1 1 2 2 2 3 3 3 3 3 4 6 7 7 8 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 21 42 64 82 109 133 144 150 158 172 193 218 221 194 154 123 108 121 144 164 169 148 104 79 69 51 37 35
6 5 4 4 6 6 5 4 4 5 4 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 4 5 6 6 7 6 6 5 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 4 15 29 46 64 83 124 159 179 189 193 195 205 197 168 136 108 87 79 96 134 167 164 123 114 75 51 37 28
6 5 5 4 6 6 5 4 4 5 5 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 4 5 5 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 11 13 7 3 4 9 17 28 39 57 89 148 191 214 225 222 211 206 188 172 153 129 103 82 81 98 127 159 183 192 185 146 104 66
5 5 4 5 6 7 5 3 4 4 4 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4 5 5 6 6 6 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 24 37 32 18 8 5 16 34 58 80 115 179 236 257 268 270 274 282 226 184 172 171 158 128 92 91 107 143 194 253 308 290 225 149
5 5 5 5 6 6 5 4 5 4 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4 5 4 6 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 44 58 50 33 27 49 66 94 114 143 194 257 300 325 341 344 329 283 221 201 208 213 192 139 95 113 151 179 209 272 301 255 175
5 5 4 4 6 6 5 4 4 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 5 5 5 6 5 5 4 4 4 4 3 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 35 51 57 65 83 112 131 149 182 236 302 357 375 381 358 324 302 270 258 257 252 235 208 185 214 239 211 163 149 161 146 97
5 4 4 6 7 6 5 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 5 6 6 6 5 4 4 4 4 4 3 3 3 2 2 1 2 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 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 15 35 54 85 125 159 189 200 217 253 308 361 378 380 381 374 356 338 327 319 311 309 307 299 301 290 260 215 167 124 89 48
5 4 5 6 7 6 4 3 4 3 3 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 6 6 5 4 4 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 34 46 90 169 255 299 284 252 243 270 327 384 402 410 418 410 377 329 313 321 347 359 337 299 248 199 144 92 63 69 44
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