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 5 5 5 5 6 6 6 6 7 7 7 7 8 9 10 10 10 11 10 10 10 11 10 10 9 9 9 9 8 8 8 8 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 7 6 6 7 7 7 7 7 7 8 8 10 11 10 9 8 8 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 8 7 7 9 12 17 20 19 15 10 9 10 10 11 11 10 8 5 4 4 5 6 7 7 8 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 8 7 7 6 6 6 5 4 3 2 2 2 4 5 8 10 9 8 6 6 7 8 8 8 8 8 7 7 6 6 6 5 6 6 6 7 7 8 8 7 7 7 7 8 8 8 9 9 8 8 8 10 10 9 9 8 nan
nan 5 5 5 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 9 8 8 7 7 7 7 7 8 8 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 10 9 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 10 14 19 21 18 14 11 11 10 9 8 7 6 5 5 5 6 6 7 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 6 5 4 4 3 2 3 4 6 8 11 12 9 6 5 6 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 5 5 5 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 10 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 7 6 5 6 6 6 5 5 5 6 5 5 6 6 6 6 6 7 7 7 8 8 7 7 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 8 8 8 7 7 7 7 7 7 8 8 9 11 15 19 19 15 13 12 10 7 5 4 3 3 4 6 7 7 7 7 8 8 8 8 9 9 9 9 9 8 7 6 6 6 7 8 8 7 7 6 7 8 9 8 8 7 6 5 5 4 4 4 6 8 10 12 12 9 6 6 7 8 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 10 11 nan
nan 5 5 6 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 8 8 8 7 7 7 7 7 8 8 9 10 12 15 15 14 12 12 11 8 2 0 1 1 3 6 8 8 8 7 8 9 9 8 8 8 9 9 9 8 7 6 6 6 6 7 7 7 7 6 6 6 7 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 9 7 6 6 7 7 7 7 9 11 12 12 10 9 9 10 9 9 8 7 7 7 8 9 9 10 10 10 11 11 10 10 9 10 10 11 11 10 9 10 nan
nan 6 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 8 8 8 7 7 7 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 7 7 7 7 8 8 9 12 14 14 12 10 10 11 10 6 1 -1 0 1 3 6 8 9 8 8 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 5 5 5 6 6 6 7 8 9 9 8 8 7 8 8 7 6 6 6 5 5 5 5 6 6 6 9 12 14 12 9 8 9 10 10 9 8 7 6 6 6 8 9 9 10 11 11 11 11 11 11 12 12 12 11 10 9 10 nan
nan 8 9 9 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 7 7 7 8 8 8 10 13 15 14 11 8 9 11 11 8 4 2 2 2 3 5 7 8 9 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 4 4 4 5 5 7 8 9 9 9 9 8 7 5 4 4 5 5 5 5 5 5 5 6 8 11 12 10 8 9 10 10 10 9 8 7 6 6 6 7 8 9 10 11 12 13 13 13 14 14 15 14 12 10 10 12 nan
nan 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 6 6 7 7 6 6 7 7 8 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 7 8 8 8 8 8 10 13 15 14 11 9 9 11 12 10 7 4 2 2 3 6 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 5 4 4 4 4 5 5 6 8 9 10 11 9 7 5 5 6 6 7 7 6 6 6 5 5 6 7 8 7 8 10 11 10 10 9 9 8 8 7 6 6 7 8 10 13 14 14 14 15 15 16 16 15 13 12 13 15 nan
nan 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 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 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 7 8 8 8 8 8 9 10 13 15 14 12 10 9 9 9 8 6 4 4 4 6 8 9 10 10 9 9 8 8 9 9 9 8 8 8 9 10 10 9 8 8 8 9 9 9 9 8 7 6 5 5 6 6 6 6 7 9 11 12 10 8 7 7 8 9 9 8 7 7 7 6 5 5 5 6 7 10 12 12 10 8 8 8 10 10 9 6 5 5 7 10 13 13 12 13 14 16 17 17 16 15 14 14 15 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 12 13 13 11 10 8 7 6 4 3 4 5 7 8 10 10 11 11 10 9 8 8 9 9 8 7 7 8 9 11 11 9 8 8 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 9 11 13 12 10 9 9 10 10 10 9 8 8 8 8 7 6 6 7 8 10 12 12 10 8 7 8 10 12 10 7 5 5 7 9 11 9 6 7 10 14 16 17 16 14 11 10 12 nan
nan 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 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 7 7 6 6 6 7 7 6 6 6 7 7 7 8 8 9 9 8 9 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 9 8 8 7 5 4 3 4 6 7 9 10 10 10 9 8 8 7 8 9 9 8 6 6 7 9 10 11 10 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 12 12 12 10 8 8 9 10 11 11 10 9 9 8 8 7 6 6 7 9 11 12 11 9 7 8 9 10 10 8 7 7 7 7 6 3 -0 1 5 10 14 15 14 11 8 7 10 nan
nan 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 6 6 6 6 7 7 8 8 8 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 9 9 8 8 7 7 9 11 12 11 11 9 8 6 7 8 7 6 5 4 4 5 7 10 10 9 7 6 6 7 9 10 9 8 6 6 6 8 9 10 9 8 7 7 7 7 7 7 7 8 8 8 8 9 10 11 11 11 11 11 10 10 8 6 5 6 8 11 13 13 12 9 7 6 6 6 5 6 7 9 11 12 11 9 7 7 8 9 10 10 9 7 5 2 -1 -3 -2 2 7 11 13 13 11 8 7 10 nan
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nan 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 6 7 8 10 13 14 15 13 11 11 10 10 10 11 11 10 8 5 3 3 6 10 12 10 8 7 9 11 12 12 10 8 7 5 5 5 6 7 7 6 5 5 5 6 7 7 8 8 9 10 11 12 12 11 11 9 8 6 7 8 7 7 6 7 7 9 14 16 13 8 4 4 5 6 6 7 9 11 13 14 15 12 7 5 5 4 4 5 6 5 3 1 1 1 2 2 1 1 4 8 11 12 12 13 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 9 9 10 10 11 11 12 12 12 12 11 11 10 10 9 9 8 7 6 7 8 9 10 10 11 12 12 11 9 9 9 10 10 10 10 8 6 4 5 6 9 11 11 10 9 9 11 13 14 12 10 8 6 5 3 3 4 6 7 6 6 6 6 7 9 9 9 9 9 10 12 13 12 11 9 9 9 9 9 9 9 9 9 9 8 8 10 12 10 6 5 5 7 8 8 9 10 12 12 12 12 11 9 6 5 4 3 3 4 5 3 3 4 5 6 4 0 -1 2 7 11 14 15 15 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 9 10 11 12 13 14 14 15 14 13 12 11 10 9 9 8 8 8 10 11 12 10 9 8 8 8 8 7 7 7 6 6 5 6 5 4 4 7 10 11 11 10 10 10 11 13 14 13 10 8 6 5 3 2 2 3 6 7 6 6 6 7 8 9 10 10 9 9 10 11 12 12 11 9 9 10 11 10 10 10 10 10 10 10 9 8 10 10 9 8 8 8 8 9 9 11 11 11 9 8 8 10 11 10 9 7 6 6 6 5 5 7 8 9 7 2 -1 1 6 11 15 16 16 nan
nan 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 12 14 16 16 16 16 15 14 12 11 10 10 10 10 10 11 12 13 12 8 6 6 5 4 5 6 6 6 4 1 1 2 3 3 5 9 11 11 11 10 11 11 12 13 12 10 7 5 5 4 2 1 1 3 6 6 5 5 5 7 8 9 9 9 8 9 9 11 12 13 12 11 11 11 11 10 9 9 10 10 10 10 9 9 11 11 11 10 10 9 9 9 10 10 10 9 6 3 4 8 13 14 13 11 10 9 7 6 6 8 10 10 7 2 -1 1 5 10 14 15 14 nan
nan 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 8 8 9 12 15 16 17 16 16 15 14 12 11 11 12 13 14 14 13 12 13 13 10 6 4 3 2 2 2 4 7 6 4 2 0 1 1 3 5 8 10 10 10 11 11 11 11 11 10 8 6 5 5 4 3 2 3 4 6 5 4 4 5 6 7 8 8 8 8 8 9 11 12 13 12 12 12 12 11 9 8 8 9 10 9 9 9 9 10 10 10 9 9 8 8 9 9 9 8 7 4 1 1 5 11 14 13 12 12 11 10 8 8 9 9 8 5 2 1 1 5 10 12 13 12 nan
nan 6 6 7 7 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 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 11 13 15 16 15 14 14 12 11 10 11 13 17 18 19 17 15 14 13 12 10 7 5 4 3 2 2 4 5 6 6 7 5 4 3 3 6 8 9 10 10 11 11 10 9 9 8 8 7 7 7 7 6 5 5 6 6 5 4 4 5 5 6 7 8 8 8 9 10 12 12 12 12 12 12 13 12 10 9 8 9 10 10 9 8 8 8 8 7 7 6 6 7 7 7 8 7 5 2 -0 1 5 9 11 10 10 11 12 12 11 10 9 8 6 4 2 2 2 5 9 11 11 9 nan
nan 6 7 7 7 7 6 6 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 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 11 13 14 15 14 13 12 11 10 9 10 11 15 19 21 20 17 15 14 13 12 11 10 9 8 7 6 5 5 6 7 10 11 11 8 6 6 6 8 10 11 11 12 11 10 9 9 10 10 9 9 9 9 8 7 7 7 7 6 5 5 5 5 6 7 8 9 10 10 12 13 12 10 10 10 12 13 13 12 10 9 9 10 10 10 9 8 7 6 6 5 5 5 4 4 6 8 9 8 3 1 2 5 7 8 7 8 9 11 12 12 12 10 9 6 4 3 2 3 6 9 10 9 7 nan
nan 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 11 14 17 19 19 18 16 13 10 10 12 13 13 15 17 18 17 14 12 10 10 10 11 11 11 11 9 8 7 7 9 11 11 11 10 9 8 7 7 8 10 12 13 14 15 14 13 12 11 11 10 9 9 9 9 9 8 9 8 8 7 7 7 7 7 8 9 10 10 12 14 14 10 7 7 9 10 12 13 12 10 9 9 9 10 11 10 8 7 7 6 5 4 4 3 4 6 10 12 12 7 3 3 4 5 5 5 6 7 8 9 10 10 10 9 7 6 5 4 4 6 8 8 8 6 nan
nan 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 12 16 21 26 28 28 26 21 17 13 13 16 16 15 13 13 14 15 12 9 8 8 8 9 10 11 10 9 8 7 8 10 12 10 7 5 5 6 6 7 8 9 11 12 15 17 17 15 13 11 10 9 8 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 10 12 15 13 7 3 5 8 10 11 12 11 10 8 7 7 8 10 10 10 9 8 7 6 5 5 5 6 9 12 13 12 9 6 5 5 4 4 4 5 6 7 7 7 8 8 8 8 8 7 7 6 6 7 7 7 5 nan
nan 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 11 17 24 30 35 36 31 25 21 18 15 14 16 15 13 10 10 11 13 13 11 9 8 7 6 6 6 8 9 9 8 7 8 9 7 3 1 1 4 6 7 7 7 8 10 13 16 16 13 11 9 8 8 8 7 7 8 9 8 7 7 7 8 9 10 10 9 9 8 8 9 12 13 11 4 1 4 8 11 12 13 11 9 6 5 5 6 8 9 9 8 8 8 8 8 8 9 11 13 13 13 12 10 9 8 7 6 6 6 6 6 7 7 7 6 6 7 8 8 8 8 7 7 8 8 7 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 9 14 22 27 32 33 32 25 18 15 14 13 12 11 11 9 8 7 8 11 13 11 9 7 4 2 1 1 4 8 10 9 7 5 5 4 1 -0 1 4 6 7 6 5 5 7 10 12 12 10 8 8 8 9 10 11 10 9 8 7 6 5 6 8 9 10 10 9 8 7 6 7 9 9 8 3 1 4 9 12 14 14 12 8 5 4 4 5 6 7 8 8 9 10 11 11 11 12 14 15 14 13 11 11 10 9 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 6 nan
nan 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 11 16 22 24 23 23 21 18 15 12 11 12 12 11 10 8 6 4 5 8 10 9 7 4 3 2 1 0 2 6 10 11 8 6 4 3 2 2 4 6 7 7 5 4 3 5 7 8 9 8 8 8 8 10 12 14 14 12 9 7 6 6 7 9 10 10 9 8 7 6 6 6 6 6 6 5 4 6 9 12 14 14 12 8 5 4 3 3 5 6 8 9 11 13 14 14 14 14 14 14 13 12 11 11 10 9 8 7 7 7 7 7 8 9 9 9 8 8 7 6 6 7 8 9 10 10 9 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 13 17 19 17 15 14 14 15 14 12 12 13 12 11 9 6 4 2 2 4 7 8 7 6 6 8 7 5 4 7 11 13 12 8 6 4 4 6 7 8 8 7 5 2 1 2 4 5 6 7 9 10 10 11 14 16 17 14 11 9 8 8 9 10 10 9 7 6 7 8 8 9 8 7 8 8 8 8 9 11 12 12 10 7 6 6 4 3 5 7 9 11 13 14 14 14 14 13 13 12 11 10 10 9 9 8 7 6 5 5 6 7 7 8 8 9 9 7 6 5 5 6 8 10 11 10 9 9 nan
nan 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 12 15 16 16 14 12 11 12 12 12 12 12 11 9 6 3 2 2 1 0 2 7 11 12 11 12 12 12 10 9 10 13 16 16 13 10 8 8 9 10 11 10 9 6 3 1 2 4 3 3 5 9 11 10 11 13 16 16 14 11 9 9 9 10 11 11 8 5 5 6 8 11 14 13 12 11 10 9 8 7 8 8 7 6 5 6 7 7 6 7 9 11 13 13 13 12 12 12 12 11 10 9 8 8 8 8 7 6 5 4 4 5 6 7 8 9 9 9 7 6 5 5 6 8 10 10 10 9 8 nan
nan 8 8 8 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 14 17 17 15 13 12 12 11 11 10 10 10 9 4 -0 -1 2 4 4 3 3 8 13 14 13 13 14 14 13 13 14 15 16 16 15 12 11 11 12 13 13 13 11 8 6 5 6 7 4 2 4 7 9 9 8 11 13 14 12 9 7 7 8 10 11 11 8 5 3 4 7 11 15 16 14 12 9 7 5 5 5 5 5 4 5 7 9 11 11 11 12 13 13 13 12 11 10 10 10 9 8 8 7 7 7 7 7 5 4 4 3 4 6 8 9 10 10 9 8 8 8 7 7 7 9 9 8 7 7 nan
nan 7 7 7 7 7 7 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 8 8 8 9 10 11 10 10 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 8 8 9 9 9 10 10 10 10 11 12 15 18 20 19 16 14 13 12 12 10 9 10 9 7 3 0 1 7 10 10 8 6 8 11 12 11 11 12 14 16 17 16 15 14 12 11 11 11 12 14 14 15 14 12 11 10 11 12 12 8 4 4 5 6 5 5 7 11 11 9 6 5 4 5 7 10 10 8 5 3 3 5 9 13 14 12 9 6 4 4 4 5 5 6 7 9 11 14 16 16 15 15 14 13 12 11 10 9 9 9 8 8 8 7 7 6 6 6 5 5 3 3 4 6 8 10 10 10 10 11 11 11 9 6 6 7 8 7 7 7 nan
nan 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 9 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 11 10 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 13 15 19 21 22 21 17 14 12 11 10 8 7 9 9 9 7 6 7 11 15 14 11 8 7 8 8 7 7 9 12 15 17 17 15 12 9 7 7 9 11 12 13 13 13 12 11 11 13 14 14 12 9 7 5 4 3 3 5 8 9 7 5 4 3 4 5 7 8 7 6 5 6 7 10 12 12 10 7 5 4 4 5 6 7 9 10 13 17 20 21 20 18 15 13 12 10 9 8 7 7 7 7 7 7 7 6 6 5 5 4 4 3 2 3 6 8 8 8 7 8 10 11 10 6 3 3 6 8 10 10 10 nan
nan 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 10 10 10 10 10 9 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 7 8 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 13 16 19 22 23 22 20 16 12 9 7 6 5 6 8 9 10 11 11 11 12 13 12 10 7 7 7 6 4 5 7 9 11 12 13 13 11 10 8 7 7 8 9 10 10 10 9 9 9 10 12 13 14 14 12 9 5 3 3 5 8 8 6 4 4 5 6 6 6 6 6 6 7 9 11 13 14 12 9 6 4 3 3 4 6 7 9 10 12 16 20 22 21 17 13 10 8 7 7 6 6 6 6 5 5 5 5 5 4 4 4 3 2 1 1 3 5 7 7 6 5 5 6 6 5 2 0 1 6 10 12 13 13 nan
nan 7 7 7 7 7 7 7 7 6 6 7 7 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 13 16 19 23 24 23 20 16 12 7 3 1 1 3 5 7 9 11 13 13 12 10 8 6 5 5 6 6 5 3 4 6 7 7 7 7 8 9 10 10 9 8 7 7 8 8 8 8 7 7 8 9 11 13 16 16 13 8 5 5 7 9 8 5 4 6 8 9 8 7 6 6 7 8 9 11 14 16 14 10 7 4 3 3 3 4 4 5 5 5 8 13 16 16 14 10 7 6 5 5 5 5 5 5 5 4 3 3 3 3 4 4 3 1 0 1 4 6 6 7 7 6 5 4 3 2 1 1 3 7 11 13 13 12 nan
nan 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 8 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 12 16 20 23 25 24 20 15 12 7 3 -1 -3 -2 1 4 6 9 12 14 15 13 9 5 2 1 2 5 7 6 5 5 7 7 7 6 6 6 6 8 10 11 10 8 6 5 6 7 8 8 7 6 7 9 12 15 17 16 12 9 8 9 10 7 4 3 6 9 11 11 9 8 9 9 8 8 9 11 13 13 12 10 9 7 6 5 4 2 1 1 0 1 6 10 12 11 9 7 6 5 4 5 5 5 6 5 4 3 2 1 2 4 6 5 3 3 4 5 6 7 8 8 8 7 6 5 4 4 4 6 9 11 10 9 8 nan
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nan 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 7 8 9 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 14 21 27 29 27 22 14 8 7 9 10 8 6 6 7 7 8 9 11 14 19 20 18 15 12 8 5 3 1 -0 -1 1 3 4 6 9 12 15 17 17 17 15 13 10 7 7 9 12 15 16 15 12 10 10 11 10 7 5 4 6 9 13 16 14 8 4 3 4 6 7 8 10 11 12 12 9 5 3 3 5 7 8 8 9 9 9 8 7 6 6 5 5 6 8 11 12 13 11 10 10 10 10 8 6 4 4 5 6 6 4 1 0 2 4 6 9 11 11 10 10 9 10 10 10 10 11 13 13 12 10 9 8 6 4 2 1 -0 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 8 9 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 12 20 29 33 31 24 13 5 3 8 13 15 12 8 5 6 7 8 9 12 16 19 19 17 14 12 9 6 4 3 3 1 -1 -2 -0 3 7 10 13 13 13 13 12 11 8 7 7 11 14 16 15 13 11 10 11 11 9 5 2 2 5 10 14 17 16 11 8 8 9 9 8 8 8 9 10 10 8 5 4 4 5 8 9 9 8 7 6 7 7 7 7 7 6 8 11 13 15 14 12 10 10 10 9 8 7 6 6 7 8 8 6 4 3 3 4 7 11 14 15 14 12 11 11 11 11 11 11 11 10 8 6 6 6 5 4 4 5 5 nan
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nan 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 6 6 7 7 8 8 8 7 7 8 7 7 8 8 8 9 9 10 10 12 17 24 28 30 26 17 9 4 4 7 10 13 15 17 17 16 16 16 16 16 15 14 13 10 7 5 4 6 10 15 17 17 15 12 9 7 5 3 4 6 8 8 8 7 6 7 8 10 11 12 13 11 8 4 3 2 3 6 8 9 10 11 12 14 16 17 16 15 14 14 14 15 14 13 11 11 12 13 13 11 9 8 8 8 8 9 9 9 9 8 6 6 6 7 8 9 10 10 10 10 11 11 9 7 7 9 11 13 13 12 11 11 12 12 12 13 14 15 15 13 12 11 10 10 9 9 8 8 7 7 6 4 4 4 4 5 5 6 7 8 9 9 11 12 14 15 16 16 17 19 19 16 10 1 -6 -10 -11 -7 0 6 nan
nan 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 7 6 6 6 6 7 8 8 8 8 7 8 8 8 8 8 8 9 9 10 11 12 16 22 26 27 25 16 7 4 4 7 10 13 16 17 17 16 16 15 14 14 13 12 10 9 7 7 7 10 15 19 21 20 17 14 11 9 7 6 5 5 6 6 6 6 6 8 9 11 12 12 12 12 11 9 7 5 5 6 7 8 9 9 10 11 13 15 15 14 14 14 14 16 16 14 13 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 7 6 6 8 10 11 11 10 10 10 10 9 7 5 5 7 10 12 12 12 11 11 11 10 10 10 11 12 13 12 12 11 11 10 9 8 8 8 7 7 7 7 7 7 7 6 5 5 5 6 8 9 10 12 14 15 16 16 17 18 16 12 5 -2 -8 -11 -10 -5 2 7 nan
nan 7 7 7 6 6 5 5 5 5 6 6 7 7 6 6 6 7 7 7 7 7 7 6 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 13 15 20 25 27 24 17 7 2 4 7 11 14 16 18 18 17 15 14 13 12 11 9 7 6 5 6 8 12 17 21 22 21 18 14 12 10 10 9 7 7 6 6 6 7 8 10 12 13 13 12 10 9 10 10 9 7 6 6 6 7 7 7 7 8 9 11 13 13 14 14 16 17 17 15 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 8 8 9 10 11 11 10 9 8 8 8 7 5 4 5 6 8 10 10 11 11 11 11 9 8 7 8 9 9 9 9 10 11 11 11 11 11 10 9 9 9 10 11 11 10 9 7 6 6 7 8 8 9 12 15 16 16 15 14 14 12 7 3 -1 -4 -6 -4 -0 5 9 nan
nan 8 7 7 7 6 5 5 5 5 6 6 7 7 7 6 7 7 7 7 7 7 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 12 16 21 26 30 27 19 10 3 4 7 10 14 16 18 19 18 16 14 13 12 10 8 6 4 4 4 7 11 18 21 22 20 17 14 12 11 11 10 8 8 8 8 8 9 11 12 13 14 13 12 10 9 9 9 9 7 5 5 5 6 6 6 5 5 6 7 10 12 13 15 17 18 18 16 13 11 9 8 8 9 10 10 10 10 10 10 10 11 10 10 11 11 11 11 10 9 8 8 8 7 6 6 5 6 7 8 9 9 9 10 10 11 11 10 9 8 7 7 7 7 8 10 12 13 13 14 14 13 11 10 10 11 12 13 12 10 8 7 7 8 9 8 9 13 17 18 17 14 11 8 6 4 2 0 -1 -1 2 5 8 9 nan
nan 8 7 7 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 10 11 16 22 27 32 31 23 13 5 4 6 9 12 16 19 20 19 17 15 13 12 11 9 7 5 3 3 6 11 18 21 21 18 16 13 12 12 12 10 9 9 10 11 11 11 12 13 13 13 13 13 13 12 11 9 7 5 3 3 5 6 7 7 7 7 5 5 7 10 13 15 17 18 18 17 15 12 10 9 8 8 8 8 9 9 10 11 11 11 11 11 11 12 11 11 9 8 9 9 9 8 7 6 7 8 10 10 11 11 10 10 10 11 12 12 11 10 8 7 7 8 9 10 12 14 15 15 14 13 11 9 8 8 10 12 11 10 9 8 9 10 10 9 10 13 17 20 20 16 10 5 3 3 3 3 3 4 6 8 9 9 nan
nan 8 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 10 11 15 21 27 31 32 24 14 6 3 5 7 10 14 18 20 20 18 16 13 12 11 10 8 6 4 3 5 10 16 19 18 16 14 13 12 14 14 13 11 10 11 11 12 11 11 12 12 12 13 14 15 15 13 9 6 4 2 3 7 10 12 13 13 12 10 8 8 9 11 14 16 17 16 16 15 13 12 10 9 8 8 8 8 9 10 12 12 12 11 10 10 10 10 11 11 10 9 9 9 9 7 7 8 9 11 11 11 11 10 10 10 11 11 12 12 11 10 9 8 9 8 8 10 12 14 14 13 11 9 7 6 6 8 11 12 11 10 10 11 13 13 12 11 12 15 18 18 14 8 5 5 6 7 8 9 10 11 11 10 9 nan
nan 8 8 7 7 7 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 7 8 8 8 7 7 8 8 8 9 9 10 11 14 20 26 30 30 25 14 5 3 3 5 8 11 15 18 18 17 16 14 12 11 10 9 7 4 3 4 8 13 15 16 14 13 12 12 15 17 17 15 12 11 11 11 10 9 8 10 12 14 15 16 15 13 10 7 4 2 4 10 15 18 19 18 16 14 11 9 10 11 13 15 15 14 13 13 13 13 12 11 9 8 8 8 9 10 12 13 12 11 10 9 9 10 13 13 11 10 9 9 8 6 5 6 8 9 9 9 9 9 9 9 9 10 10 11 11 9 8 9 10 9 8 8 10 11 12 11 11 10 9 7 5 6 10 12 13 13 12 13 15 16 14 12 11 12 13 13 11 7 7 8 10 11 12 14 15 14 12 10 9 nan
nan 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 6 5 5 5 6 6 6 6 7 7 8 7 7 7 7 8 8 9 9 10 11 14 18 24 29 29 23 13 5 3 4 5 8 10 13 15 16 17 16 15 13 11 10 8 6 5 4 4 7 10 13 13 13 12 12 12 14 16 17 16 14 11 11 11 10 8 6 7 11 14 16 16 15 13 11 8 4 3 6 12 18 19 19 16 14 12 10 8 9 12 13 14 14 13 13 13 13 13 13 11 10 9 8 8 8 10 11 12 12 11 10 9 9 11 13 14 13 11 9 8 7 6 5 6 7 7 7 7 7 7 7 7 8 9 9 9 8 7 6 8 10 11 10 10 10 10 9 9 10 11 12 10 6 5 6 9 12 13 13 13 15 15 14 11 9 8 8 8 8 8 8 10 11 12 13 14 14 13 11 9 8 nan
nan 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 7 7 8 7 7 6 5 5 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 9 10 13 17 23 27 28 22 14 7 5 6 7 9 11 13 15 16 17 17 17 15 12 9 8 6 4 3 3 4 7 11 13 13 13 12 12 13 13 13 13 13 12 12 12 11 10 8 7 8 10 13 14 13 13 11 9 7 6 9 13 17 17 14 10 8 7 7 7 8 11 14 14 14 12 12 11 11 11 11 10 10 9 8 8 9 10 11 11 11 11 10 10 10 11 13 14 13 12 10 9 8 8 9 9 9 7 6 6 6 6 6 7 8 8 7 6 5 5 5 7 9 10 10 10 11 11 8 7 7 8 10 11 7 4 3 4 8 10 12 12 11 11 10 8 7 6 6 6 7 9 11 12 12 12 11 11 11 10 10 9 8 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 6 6 5 6 6 6 6 5 6 6 7 7 7 7 8 9 9 9 9 10 12 17 22 27 29 24 15 9 6 6 8 10 11 14 15 16 17 18 18 17 14 10 8 6 4 3 2 3 6 10 13 14 13 12 11 11 11 10 10 10 11 12 12 12 11 10 8 7 6 7 8 10 11 12 11 11 10 12 13 15 14 12 9 7 5 4 5 6 9 12 12 11 10 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 12 13 13 12 11 11 13 14 14 12 11 10 10 9 8 8 7 6 4 3 4 4 5 7 8 10 10 9 9 10 9 8 7 7 8 9 7 4 3 3 5 9 10 9 6 5 5 5 6 7 7 7 8 11 13 14 13 10 8 8 8 9 10 10 10 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 5 5 5 5 6 5 5 5 6 6 7 7 8 8 9 9 9 9 10 11 16 22 27 30 27 17 10 6 6 7 9 10 12 14 16 18 19 20 19 17 14 11 9 7 5 3 3 5 9 12 13 13 11 10 10 9 9 9 9 9 10 10 10 11 10 9 7 4 4 4 6 8 10 11 13 14 14 14 15 16 16 14 10 5 2 2 4 7 9 9 8 7 7 7 8 8 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 11 12 13 13 13 13 13 13 13 15 16 17 18 18 17 14 10 8 6 4 2 2 3 4 4 5 8 10 11 10 9 10 10 11 11 10 9 9 8 7 6 7 8 10 10 7 3 1 1 3 6 9 10 10 11 12 13 13 11 8 6 7 7 8 9 10 11 nan
nan 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 7 7 6 5 5 4 4 5 5 6 5 5 5 5 5 6 7 8 8 9 9 9 9 9 11 15 22 28 31 29 19 9 7 5 6 8 10 11 13 15 17 19 21 21 21 18 15 13 11 9 7 5 6 9 11 12 11 9 8 8 9 9 10 10 10 9 8 8 8 9 9 8 6 4 4 3 4 5 7 10 12 14 16 17 19 21 19 12 6 2 1 3 5 7 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 12 13 13 12 10 10 10 11 11 11 12 15 20 23 20 14 10 7 6 5 3 2 2 1 1 3 6 10 12 12 10 10 11 12 13 12 11 11 11 10 10 10 10 11 11 8 5 2 2 3 6 9 11 12 13 13 14 13 10 8 6 6 7 7 8 9 11 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 5 4 4 4 5 5 6 6 5 5 5 5 5 6 7 8 8 9 9 9 9 11 15 20 27 31 28 19 10 6 5 6 8 10 12 13 15 17 19 20 20 20 19 17 15 13 12 10 9 10 11 12 12 11 9 8 8 9 11 12 12 12 10 9 8 7 8 8 9 9 8 6 4 3 3 4 6 9 13 16 18 19 19 16 11 7 4 3 4 6 9 11 11 11 10 10 9 9 8 8 9 11 12 12 12 12 11 10 10 9 9 9 9 10 12 13 12 10 7 7 8 8 7 5 7 10 17 19 16 11 8 9 9 8 6 4 3 2 1 2 5 9 12 11 10 9 9 9 10 11 12 13 13 12 11 11 11 12 12 10 8 6 5 5 6 8 11 13 14 14 14 12 10 8 8 7 6 7 8 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
52 46 40 38 42 45 44 39 32 25 23 25 26 21 16 17 20 23 26 29 31 31 32 32 31 30 29 29 28 26 26 27 26 23 20 19 19 18 16 15 13 13 13 14 12 11 10 9 9 9 9 9 9 11 12 14 14 14 15 16 17 21 20 16 13 10 8 7 7 7 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 10 10 9 8 8 8 8 8 7 6 6 6 6 5 4 4 3 3 2 2 2 2 2 1 2 2 11 135 252 357 529 799 1030 961 680 407 212 105 52 32 26 64 470 322 204 134 100 83 79 84 82 68 47 25 10 2 0 2 18 76 117 124 115 109 111 126 153 180 204 213 203 181 166 166 172 169 175 202 235 231 208 209 331 529 702 802 815 757 678 692 894 1068 1043 912 800 755 738 713 688 660 644 639 632 614 580 544 522 524 555 588 622 649 691 760 793 874 904
43 43 40 34 36 36 32 27 23 20 16 16 13 9 8 9 12 15 19 23 26 29 30 32 31 31 30 28 28 27 26 26 25 22 19 17 16 16 16 14 13 12 12 11 11 10 9 7 7 7 7 6 6 6 6 7 7 6 6 7 8 17 18 15 12 11 10 9 9 10 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 7 6 6 6 6 5 4 4 3 3 2 2 2 2 2 1 3 14 61 198 289 399 605 880 1069 974 621 300 138 64 26 8 4 14 45 70 73 72 73 79 90 100 91 62 32 12 2 0 0 0 2 32 73 87 86 86 94 108 128 152 173 184 183 171 160 155 162 154 141 153 174 187 203 260 411 602 737 799 796 758 732 764 851 913 861 780 720 698 692 670 632 584 558 543 527 509 487 458 417 379 447 506 566 630 714 790 808 845 841
39 40 39 35 35 31 24 18 15 13 12 12 11 8 6 6 8 10 12 16 20 23 26 28 28 29 28 28 27 25 23 21 18 17 15 14 14 15 16 15 14 13 12 10 10 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 7 13 15 12 9 8 8 8 9 9 10 11 11 10 10 10 11 10 10 11 11 10 10 10 9 10 10 10 9 9 8 8 8 8 8 7 7 6 6 6 6 4 4 3 3 3 3 2 2 2 1 3 17 61 157 255 335 487 674 838 852 646 351 155 69 27 8 2 14 36 58 71 75 74 75 86 102 109 92 54 23 11 5 2 0 0 0 6 25 39 46 56 73 89 105 119 133 145 151 149 145 142 148 142 136 140 161 195 260 366 499 618 700 739 735 724 741 780 795 770 701 677 667 654 629 585 530 485 468 465 458 447 433 410 369 316 343 421 519 607 691 741 740 743 743
42 43 38 32 26 23 17 15 15 16 16 14 13 13 10 10 11 10 11 13 14 16 19 19 21 23 24 22 21 21 20 18 16 15 12 12 12 14 15 16 15 14 12 11 11 10 9 7 7 8 7 6 6 5 5 6 5 5 4 5 7 9 10 8 7 6 5 5 6 7 7 8 9 9 9 8 9 10 10 10 11 10 10 10 10 9 10 9 8 8 8 8 8 8 8 7 6 6 6 6 5 4 4 4 3 3 3 3 2 2 2 12 58 125 207 285 374 507 660 710 602 387 179 66 21 5 2 8 30 56 69 76 76 74 82 102 118 115 86 48 26 21 13 5 1 0 0 0 2 9 17 31 49 68 83 95 102 110 121 132 135 132 132 132 160 160 192 266 366 454 510 551 610 653 658 681 713 719 687 640 578 631 668 629 551 469 406 371 365 376 384 380 364 345 317 276 254 257 295 374 478 552 587 612 637
42 39 34 25 18 14 11 11 13 14 15 15 16 18 21 18 16 15 14 13 13 13 13 14 15 17 17 16 15 16 17 16 15 13 11 11 11 13 15 15 15 15 13 12 12 12 11 9 9 10 10 9 11 13 12 9 8 8 7 7 8 7 6 4 4 3 3 4 6 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 5 5 4 4 4 3 3 3 3 2 2 3 21 94 159 227 306 375 417 569 534 387 213 80 17 2 2 9 26 48 67 77 80 77 74 92 119 132 119 87 56 42 36 21 6 0 0 0 0 0 1 5 14 26 40 55 68 79 88 105 126 125 115 110 129 198 202 252 353 425 438 434 461 523 553 559 617 658 646 588 532 519 587 604 514 423 357 318 305 311 321 333 339 333 323 306 286 281 275 228 208 290 375 434 484 539
33 30 28 19 11 8 8 9 10 11 12 14 14 14 15 14 13 14 14 14 14 13 12 13 12 13 14 14 13 15 16 15 14 13 13 13 12 14 15 16 16 15 14 14 14 14 13 13 14 13 13 12 13 13 12 11 10 10 9 8 7 5 4 4 4 4 5 6 7 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 5 4 4 4 3 3 3 3 3 3 3 4 16 85 159 243 327 366 368 425 346 213 103 32 3 1 7 20 42 60 74 80 80 77 79 102 135 144 128 100 76 62 47 26 3 0 0 0 0 0 0 1 4 9 17 29 43 55 65 86 106 107 94 92 107 134 179 256 349 367 338 339 392 450 450 475 571 607 557 475 431 453 492 466 380 325 280 252 251 273 288 298 316 326 334 336 335 356 411 410 286 219 241 295 357 429
30 25 21 16 9 9 10 11 12 13 15 17 15 13 12 11 10 11 12 14 15 15 14 13 12 13 13 13 15 16 17 17 17 18 18 16 15 15 16 16 16 16 16 15 14 14 13 13 15 14 13 13 13 12 11 11 10 9 7 6 4 4 5 5 6 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 4 4 4 4 3 3 3 3 3 3 2 4 20 76 188 294 368 375 327 269 188 103 48 14 2 1 7 21 43 67 78 81 80 79 87 110 143 157 148 127 104 80 55 30 5 0 0 0 0 0 0 0 0 1 4 11 21 35 49 55 60 67 71 76 98 127 154 207 249 256 253 285 344 381 391 469 564 567 456 363 331 342 347 314 283 273 242 214 219 251 271 291 320 336 351 347 329 329 362 365 285 212 199 226 287 376
22 19 16 13 11 12 13 14 15 15 16 16 15 11 13 12 12 14 16 17 17 15 15 15 15 15 16 14 16 16 16 18 20 21 21 19 19 18 18 17 17 17 16 15 15 15 15 13 15 13 13 13 12 11 11 11 9 8 6 5 4 6 7 7 7 6 5 5 4 4 5 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 4 4 4 3 3 3 3 3 3 3 3 9 37 114 254 376 418 379 287 184 96 41 15 5 1 0 4 19 45 71 81 82 81 83 95 117 145 169 175 159 128 96 66 39 14 4 1 0 0 0 0 0 0 0 1 1 2 2 5 12 23 35 50 62 81 102 121 146 181 205 225 261 303 337 388 477 473 379 297 279 275 267 251 234 235 243 233 225 240 265 289 320 351 371 380 332 273 232 215 202 183 187 209 251 326 412
23 17 15 14 14 14 14 15 15 14 14 13 12 11 13 12 13 17 18 16 15 15 17 18 19 20 20 18 16 16 15 17 19 22 22 20 20 20 19 18 18 18 17 16 16 16 16 16 15 13 14 14 13 12 12 12 10 9 7 6 7 8 8 5 3 2 3 4 4 5 6 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 5 4 3 4 3 3 3 3 3 3 2 4 20 69 178 322 413 393 310 198 104 43 16 12 13 6 4 6 20 49 75 81 85 87 95 106 126 156 186 204 193 157 117 82 49 24 12 4 1 0 0 0 0 0 0 1 1 1 0 0 1 6 19 34 48 63 78 99 128 159 187 213 236 271 330 388 404 332 248 235 256 262 244 222 215 225 236 237 248 277 304 336 365 378 415 397 294 214 176 170 180 203 241 298 372 451 481
19 16 16 16 14 14 14 14 13 11 11 12 13 13 12 12 16 17 16 14 15 16 18 18 20 19 19 17 16 17 17 18 21 22 22 21 22 22 21 20 19 19 18 17 15 15 15 14 13 12 13 13 12 11 12 12 11 9 8 8 9 9 7 4 3 4 5 5 6 6 6 7 7 6 5 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 2 5 32 115 255 364 371 285 186 93 38 15 36 78 99 78 37 16 19 52 79 86 97 100 112 121 147 188 226 245 235 189 142 97 61 38 26 16 6 2 0 0 0 0 1 4 8 8 8 7 6 6 10 20 32 44 60 80 102 124 149 179 208 257 309 321 301 274 262 268 263 263 246 226 220 229 243 252 256 288 323 369 386 387 436 390 257 176 151 162 191 233 300 406 529 596 542
15 14 14 13 11 13 13 12 11 10 11 12 13 11 11 14 19 17 15 15 16 17 16 14 15 14 14 14 16 19 21 22 24 25 25 25 25 24 23 19 19 18 17 16 15 14 13 13 14 13 13 12 12 13 12 12 11 10 9 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 6 6 6 6 6 6 5 6 5 5 5 4 4 4 4 4 3 3 2 3 3 3 3 9 51 186 350 407 335 199 82 26 9 29 155 293 324 223 67 14 17 55 93 111 117 116 114 129 175 246 305 319 286 231 171 118 81 62 52 42 31 20 12 9 8 8 8 12 18 21 23 23 20 16 14 16 21 29 38 50 64 87 118 161 214 258 262 259 276 303 316 306 270 256 252 244 235 234 240 251 265 309 344 385 388 396 435 375 245 162 131 131 161 224 331 472 597 592 555
14 11 11 11 11 11 11 10 11 11 11 11 11 11 13 17 17 16 16 17 17 18 18 16 16 16 17 18 19 20 22 23 23 24 25 26 25 23 22 20 20 17 18 17 16 14 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 8 7 7 6 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 2 8 36 113 275 451 469 336 157 34 3 3 60 358 608 541 264 35 5 17 59 126 147 137 121 109 126 193 300 399 432 382 293 211 148 116 102 86 72 58 42 28 21 19 19 22 26 30 34 38 35 30 24 21 20 23 26 34 46 58 77 111 167 233 246 239 279 321 333 320 292 250 224 232 244 242 234 235 249 277 319 350 392 383 396 421 364 243 154 115 103 129 199 303 414 510 505 588
15 10 10 11 10 9 9 9 11 10 10 10 10 13 16 17 15 17 19 18 18 18 19 18 18 18 19 18 20 20 20 20 21 22 23 23 23 22 21 20 18 17 17 16 14 13 11 11 13 11 11 11 11 11 11 11 11 10 9 9 9 8 7 7 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 2 1 2 2 19 81 200 363 515 513 345 149 31 1 4 61 496 850 637 236 2 5 22 69 149 159 139 115 107 136 207 316 460 569 542 409 275 197 184 161 121 89 68 51 38 30 29 32 40 48 54 61 68 62 47 37 31 29 30 34 41 57 78 101 132 177 221 238 282 337 352 326 281 238 203 185 193 210 221 231 246 275 313 339 347 391 375 395 410 352 234 139 98 71 73 120 184 267 412 516 644
13 10 9 9 8 9 9 10 11 9 9 9 10 11 14 15 16 18 18 19 18 17 17 18 18 18 17 17 19 21 20 20 20 20 21 21 22 22 19 18 17 15 15 14 14 12 11 10 10 11 11 11 12 12 12 12 11 10 9 9 9 8 6 6 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 2 2 2 2 2 6 14 45 132 269 395 461 452 326 144 40 6 1 84 437 773 463 138 1 4 28 87 155 145 119 98 105 148 220 317 479 676 697 527 329 237 212 185 140 104 81 66 55 50 51 59 72 84 94 102 109 101 82 66 53 45 42 43 50 64 92 130 168 200 241 296 359 377 334 274 209 157 129 126 142 165 195 240 279 320 359 374 349 359 355 387 397 339 229 135 93 53 38 56 89 138 241 401 569
11 10 9 9 8 9 9 11 12 12 12 13 14 15 15 16 17 18 17 17 17 17 17 17 17 17 16 15 16 18 18 19 18 18 18 19 20 19 16 15 15 14 14 14 13 12 11 10 10 11 11 11 12 12 12 12 11 11 10 9 8 7 6 6 6 7 5 4 4 4 4 5 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 4 4 3 3 3 3 3 2 2 2 5 25 61 92 125 213 298 328 321 306 269 140 56 16 3 42 171 270 60 10 0 2 39 103 142 124 91 74 93 147 223 319 464 664 689 512 337 237 190 173 149 141 126 108 92 82 82 95 118 134 150 153 147 137 123 104 87 72 58 52 52 57 68 103 152 215 293 352 368 345 280 215 148 93 67 70 91 123 170 235 288 340 380 387 357 343 341 369 372 317 229 157 121 74 40 34 56 101 176 302 483
12 11 11 10 9 9 10 12 14 15 14 15 16 17 17 16 17 16 14 15 15 15 16 17 17 17 17 17 16 16 16 17 18 17 17 18 17 16 15 12 13 12 12 12 11 11 10 10 11 11 11 12 13 13 12 11 11 11 10 9 8 6 6 6 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 2 2 2 2 2 1 1 1 1 1 2 3 3 3 3 3 3 3 2 2 1 36 115 201 247 241 259 264 208 201 204 172 113 48 14 2 0 1 1 0 0 0 1 42 90 106 87 60 51 75 130 204 299 434 604 618 453 314 226 191 195 209 231 214 175 147 139 146 164 193 210 228 217 190 167 154 146 133 108 78 55 44 39 36 45 94 189 272 297 274 236 185 142 97 56 37 43 67 105 148 201 244 319 379 392 368 340 320 319 300 252 205 176 151 92 45 29 49 85 157 288 454
12 12 12 11 10 10 10 11 11 12 14 15 16 17 17 16 16 14 13 13 13 14 15 15 16 17 17 16 15 15 15 16 17 17 18 17 15 15 14 13 12 11 11 10 10 9 10 10 11 12 12 12 12 12 11 11 11 10 10 9 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 0 1 1 2 3 3 3 3 3 3 2 2 2 1 83 213 309 317 252 200 171 102 149 161 110 54 16 1 0 0 0 0 0 0 0 0 27 56 63 52 37 31 49 95 162 253 379 504 508 409 296 234 244 292 331 340 311 263 230 217 227 258 301 331 341 300 248 204 186 181 168 135 90 51 31 27 31 41 64 130 173 170 150 138 124 88 42 21 16 24 55 102 141 181 219 298 360 368 332 287 248 219 191 160 152 168 161 92 35 14 29 69 133 228 349
13 13 13 12 11 10 9 9 10 10 12 14 16 17 16 15 15 14 12 12 12 13 13 14 15 16 17 16 15 15 15 18 18 17 17 16 15 15 14 13 12 12 11 10 9 9 9 8 9 11 12 13 13 13 12 11 11 10 9 8 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 2 1 0 2 16 82 199 265 234 147 71 39 24 93 135 85 21 0 0 0 0 0 0 0 0 0 0 12 23 26 22 16 12 20 56 115 197 304 391 409 378 321 285 356 430 455 426 369 315 289 288 318 377 420 411 398 356 325 278 239 211 184 145 96 56 36 32 36 45 57 74 79 70 77 97 103 66 10 5 12 30 80 136 163 174 208 266 309 312 281 237 197 165 140 116 116 145 147 88 32 9 19 52 96 142 197
17 16 14 12 11 9 9 9 8 9 11 14 16 16 15 15 15 15 13 12 12 13 14 15 16 16 17 17 16 15 14 14 15 15 15 15 15 15 15 13 12 11 10 8 8 9 9 9 9 10 11 12 12 13 12 12 11 9 9 8 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 0 1 1 1 1 0 1 1 2 2 2 2 2 2 2 1 0 1 13 37 68 120 159 143 86 30 7 13 50 100 64 21 2 0 0 0 0 0 0 0 0 0 2 4 4 4 3 4 15 44 90 153 242 325 363 353 349 371 462 521 516 461 393 340 314 330 397 496 508 434 378 365 367 315 259 216 179 136 91 58 40 37 42 50 56 50 39 33 61 80 66 30 4 3 21 76 182 218 192 177 197 237 256 249 225 194 164 141 126 119 119 131 126 86 31 6 6 30 65 90 99
18 17 14 11 9 8 9 9 9 9 13 17 17 16 15 14 14 14 13 13 15 15 16 16 16 17 18 19 18 16 14 14 14 14 14 14 14 15 14 13 12 12 11 10 9 9 9 9 10 10 11 12 13 12 11 11 11 10 8 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 1 0 1 1 1 1 1 1 2 2 6 13 10 1 1 3 7 9 14 33 53 70 88 107 99 65 33 29 62 102 100 57 22 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 28 55 86 131 198 278 330 347 369 439 514 529 495 440 391 370 380 406 437 502 485 426 383 335 302 261 230 192 144 94 57 34 20 19 32 47 55 52 40 35 58 63 40 14 6 10 36 130 228 220 177 165 180 207 216 205 182 155 135 126 123 123 122 124 108 69 24 4 0 23 57 78 69
17 15 13 11 10 8 8 9 8 9 12 14 13 13 13 13 13 13 14 16 19 16 16 17 17 18 18 20 20 18 17 16 14 15 14 13 15 16 16 14 13 12 10 9 8 8 9 9 8 9 11 12 13 12 11 11 10 10 9 8 8 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 0 0 0 0 0 1 2 2 2 6 23 69 107 83 60 55 59 66 74 90 114 136 144 135 103 61 51 90 155 178 121 53 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 45 73 96 128 172 233 286 321 353 394 436 437 406 379 370 387 434 506 550 587 538 443 360 301 245 185 150 122 82 44 19 6 0 0 8 25 47 59 55 50 59 53 28 14 17 38 90 159 187 167 138 127 136 151 157 148 138 130 128 127 127 125 117 102 79 46 15 2 1 13 47 78 64
17 14 13 12 9 8 9 9 10 11 13 12 13 14 12 13 13 14 16 20 21 18 17 21 24 23 20 18 18 19 19 19 17 16 15 15 16 17 16 14 12 13 10 9 9 8 8 8 7 9 10 12 13 13 12 11 10 9 9 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 0 0 0 0 0 1 1 1 1 3 15 51 123 211 213 191 172 168 179 188 197 225 251 251 214 151 88 76 125 148 125 71 26 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 44 72 91 107 129 157 195 237 269 291 306 319 324 321 328 351 391 453 528 593 747 636 461 323 237 176 125 89 69 47 23 6 0 0 0 0 9 36 60 69 66 67 57 28 21 35 71 126 166 165 138 109 91 85 86 87 88 92 102 113 117 118 117 103 84 59 30 10 1 1 5 22 47 45
14 13 12 11 8 9 10 11 11 12 14 14 12 12 12 12 14 16 18 20 22 21 23 28 31 29 25 20 18 18 19 20 19 18 17 17 18 17 16 13 12 11 10 9 9 8 7 7 8 9 10 11 12 12 12 11 10 9 8 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 0 0 0 0 0 1 10 15 37 57 75 105 150 207 252 260 242 250 265 255 213 195 224 249 237 189 121 58 59 54 35 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 26 57 76 91 108 128 150 174 203 223 240 253 262 271 284 304 328 355 397 505 683 830 627 391 238 158 122 101 82 62 46 29 11 2 1 0 0 3 22 50 72 80 77 63 38 37 57 95 133 148 132 109 90 76 67 61 61 65 75 90 99 100 107 118 109 89 65 36 14 2 1 2 9 24 27
12 12 12 10 9 11 12 13 12 12 12 11 10 12 13 13 15 17 19 19 23 24 26 28 28 29 27 25 22 20 19 20 22 19 17 18 19 18 14 13 12 11 11 11 9 8 7 7 7 8 9 10 11 12 12 11 10 9 8 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 1 2 2 9 33 93 124 172 270 318 292 258 231 213 209 220 246 235 281 307 243 123 43 46 98 140 145 99 29 2 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 40 59 80 105 129 149 165 183 196 216 240 256 266 278 294 306 322 368 516 719 808 595 317 151 78 60 70 90 98 78 58 30 14 7 1 0 1 6 24 47 63 68 63 54 66 97 130 144 131 106 87 76 71 68 68 67 69 74 85 91 84 80 86 90 86 68 42 20 6 1 1 5 15 18
12 12 11 12 12 13 13 12 11 11 11 12 12 13 13 16 16 16 16 19 24 24 25 27 27 30 32 31 28 26 23 22 22 21 19 18 18 17 15 13 12 11 11 10 9 9 8 7 8 8 10 11 11 12 11 10 10 9 9 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 0 2 17 58 126 220 349 450 584 701 696 591 477 372 280 227 215 227 237 300 348 251 112 25 2 12 37 51 36 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 24 49 77 102 123 136 143 148 155 188 220 244 266 286 303 307 306 359 494 638 679 538 281 94 21 6 24 65 103 98 87 55 40 21 5 6 16 22 26 32 38 48 61 77 106 138 141 125 102 86 77 72 69 68 70 70 68 65 67 79 74 66 69 79 85 80 56 24 6 0 0 1 4 7
12 13 12 11 13 14 12 10 10 12 13 13 13 13 14 17 16 16 18 20 22 22 23 25 27 29 32 33 32 32 29 24 22 25 24 20 18 17 15 13 13 13 12 10 10 10 9 7 8 9 10 11 11 12 11 10 10 9 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 0 1 32 120 261 413 522 589 708 799 777 658 522 408 308 243 214 213 231 277 323 231 112 30 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 41 68 73 75 80 83 87 105 162 211 241 271 301 320 321 314 387 464 549 577 473 259 74 7 0 8 34 72 94 88 68 68 37 15 36 89 122 106 84 75 80 99 126 151 148 122 104 94 89 84 78 72 71 71 68 62 54 52 68 72 68 61 56 55 56 48 19 4 0 0 0 2 9
13 14 13 12 13 13 10 9 10 13 14 14 12 14 15 16 17 18 19 19 19 20 20 20 24 28 30 33 35 35 31 25 24 28 30 25 20 18 17 14 13 15 17 13 11 10 10 9 9 11 11 12 12 11 10 10 10 9 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 1 0 0 49 179 337 448 482 483 566 646 646 569 459 364 301 260 227 182 156 162 168 112 51 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 25 24 19 23 28 43 84 150 214 256 293 322 327 315 324 416 473 488 463 352 186 52 0 0 1 9 37 65 61 63 74 40 28 84 180 239 223 188 167 159 166 180 184 168 145 131 118 106 95 86 79 77 73 66 58 49 44 59 68 69 57 38 22 14 12 6 1 0 0 1 5 17
12 13 13 13 12 11 9 11 13 14 13 12 11 13 14 16 17 17 18 19 19 19 20 20 21 27 28 31 33 34 31 28 24 30 33 29 23 21 21 16 13 13 14 13 15 14 13 12 12 12 11 11 11 10 10 9 9 9 8 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 1 1 0 9 60 201 349 423 421 405 444 501 521 474 392 327 315 357 383 213 90 45 36 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 0 0 0 0 0 2 1 2 7 27 76 147 216 264 307 329 280 230 247 357 474 440 350 228 108 27 1 3 9 23 35 45 51 56 57 28 37 125 241 309 297 254 240 217 209 207 199 190 184 172 152 132 114 99 89 89 78 61 51 44 42 49 52 52 42 24 8 1 0 0 0 0 0 0 2 7
11 10 9 9 8 9 11 15 17 14 13 12 12 12 14 15 16 17 19 20 22 22 22 22 23 25 27 29 31 32 31 27 22 29 32 29 25 23 22 20 17 17 15 13 13 15 14 12 11 11 11 11 10 9 9 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 1 0 0 19 81 202 337 413 416 385 366 365 365 345 295 273 332 466 568 307 86 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 45 104 167 206 224 239 155 98 103 175 273 304 255 168 90 45 32 33 35 59 63 62 60 54 39 16 45 164 301 367 339 276 271 239 222 211 201 193 192 187 171 153 134 116 105 109 89 59 46 43 43 42 39 33 25 15 5 0 0 0 0 0 0 0 0 0
10 9 8 8 9 10 13 16 15 13 12 11 12 12 13 13 16 18 20 22 24 25 25 25 24 24 27 29 31 31 29 25 21 24 28 28 23 20 19 19 20 21 17 15 13 12 12 10 11 11 11 10 9 7 8 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 1 3 30 95 197 311 410 437 405 359 312 265 240 210 220 318 476 565 403 91 18 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 2 11 30 50 64 75 85 42 21 21 48 103 171 185 147 104 72 59 57 57 75 96 72 51 37 23 16 64 214 361 406 365 309 296 264 238 219 203 191 185 178 166 154 142 125 120 127 99 69 56 45 39 37 33 24 16 17 16 10 5 4 1 0 0 0 0 0
9 9 9 10 10 10 11 11 11 11 11 11 12 12 13 15 17 20 21 23 25 26 28 26 21 23 27 28 30 31 28 24 22 24 27 30 23 21 21 21 22 23 20 20 14 11 12 11 10 11 10 9 8 7 7 8 7 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 1 1 19 56 121 209 309 400 430 410 368 303 228 172 158 202 314 458 534 420 130 23 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 1 2 5 9 10 4 2 2 7 24 53 75 76 58 40 28 24 40 86 98 45 22 18 21 48 142 318 450 456 416 378 349 315 283 257 236 218 200 182 163 151 147 137 135 134 111 90 77 57 43 37 35 28 19 29 46 44 35 22 5 0 0 0 0 0
10 10 10 9 9 10 13 14 13 12 12 12 12 13 15 16 17 18 20 22 23 24 24 23 20 24 27 29 30 31 29 25 24 28 31 31 26 29 29 26 23 22 20 18 14 13 14 13 12 11 11 10 7 7 7 8 6 6 6 6 6 5 4 4 5 5 4 3 3 3 3 3 3 2 2 2 1 0 2 14 46 89 154 240 310 354 369 371 337 274 202 154 155 212 311 412 448 339 142 23 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 1 4 10 18 24 19 10 5 6 41 97 68 35 19 20 46 125 278 481 596 570 525 489 445 382 344 329 310 285 256 227 199 177 169 159 149 143 132 108 90 74 62 52 45 47 55 37 47 63 64 44 13 1 0 0 0 0
12 11 10 8 8 8 10 11 11 14 14 13 13 12 14 15 16 18 20 20 21 23 25 24 22 23 29 31 32 31 29 27 26 33 32 28 25 27 26 24 21 20 20 20 17 15 16 16 13 12 13 11 8 9 9 8 6 6 6 6 6 5 4 4 5 4 4 3 3 3 3 2 2 2 2 2 2 1 4 20 47 80 127 204 255 282 298 306 286 238 182 153 167 218 284 345 381 252 101 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 1 4 14 24 11 5 8 49 162 351 570 710 690 664 633 576 503 450 421 393 364 337 310 282 252 226 211 188 176 164 139 117 107 96 84 76 74 69 52 56 78 84 59 23 3 0 0 0 0
12 11 10 9 8 7 8 9 12 14 14 13 12 12 13 15 16 19 20 20 19 20 22 23 24 26 31 32 34 33 30 29 31 36 31 26 26 26 25 24 21 19 20 19 15 15 17 15 14 13 12 10 9 10 9 7 6 6 6 6 5 5 4 4 5 5 4 3 3 3 3 2 2 2 1 1 1 0 2 10 21 35 61 111 152 188 219 236 229 203 170 163 185 226 273 326 401 212 70 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 22 102 257 447 596 642 684 685 650 596 547 509 476 445 416 389 363 331 286 258 234 226 217 197 174 159 147 130 118 105 84 63 62 92 97 74 42 20 10 2 0 0
10 10 10 10 9 8 8 9 10 12 12 12 11 11 13 15 16 19 22 21 19 19 20 24 25 29 31 30 33 33 31 30 32 35 32 29 29 27 25 24 23 19 18 17 15 14 15 13 14 13 11 10 10 9 7 6 6 6 6 6 6 5 4 4 4 3 3 3 2 2 2 2 1 1 0 0 0 0 0 2 3 7 14 29 52 85 134 186 212 209 195 200 223 262 308 352 356 112 30 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 3 28 97 201 310 392 474 542 580 583 574 564 554 542 516 477 450 426 381 330 293 277 268 254 237 221 209 185 157 126 99 82 84 103 106 110 111 97 65 27 16 3
10 11 10 9 8 8 8 10 10 10 11 12 11 11 13 14 16 18 19 20 20 20 21 25 28 27 27 31 35 34 31 32 33 33 31 28 26 22 20 20 19 18 17 17 15 13 13 12 12 11 9 9 9 8 7 6 6 6 6 6 6 5 4 4 4 4 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 7 23 65 173 250 271 262 258 272 304 338 335 231 21 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 1 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 40 80 127 181 260 347 428 487 531 568 597 591 544 514 490 460 412 354 317 299 290 281 269 255 227 184 142 118 114 120 126 129 165 198 190 147 105 90 20
11 11 11 9 7 7 9 11 9 9 11 12 11 10 12 13 16 17 17 18 19 19 21 24 26 25 27 31 33 32 30 30 31 32 30 26 22 19 17 16 15 15 16 14 14 13 12 12 11 11 10 9 8 8 7 6 6 6 6 6 6 5 4 4 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 32 160 296 331 319 302 304 325 329 262 120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 22 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 29 59 107 193 282 363 443 524 575 534 543 538 510 475 416 354 314 295 286 276 259 233 188 153 141 151 167 176 178 221 261 239 197 182 177 65
9 9 8 6 6 7 8 9 9 7 10 10 10 9 10 13 15 17 16 16 17 18 18 19 22 25 28 28 27 27 27 28 29 32 32 28 24 22 19 18 16 15 13 12 12 12 12 11 11 11 10 9 8 7 7 6 6 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 1 26 122 314 337 311 286 284 302 307 216 71 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 1 6 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 48 96 156 241 354 467 478 480 487 476 457 437 397 337 281 254 250 247 227 195 173 166 182 208 225 230 254 294 275 235 216 204 108
8 9 8 7 6 7 8 9 8 7 7 7 8 9 10 12 14 14 16 16 17 17 19 19 20 23 26 27 25 24 26 29 33 35 37 32 30 28 25 24 21 18 16 13 13 12 11 11 10 10 9 8 8 8 7 6 6 6 6 6 5 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 105 282 308 255 213 208 236 262 218 43 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 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 3 9 24 49 100 189 306 395 384 386 372 358 364 378 346 258 220 238 257 247 228 212 209 221 240 256 263 275 319 303 265 232 191 106
8 8 7 6 5 7 8 8 8 7 6 6 6 9 10 12 13 14 17 17 17 17 17 18 19 20 22 23 23 24 25 30 35 37 36 32 28 30 29 26 23 21 21 20 18 15 13 12 10 10 9 8 8 8 8 6 6 6 6 6 6 5 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 93 222 262 207 144 132 177 235 210 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 18 45 93 172 273 313 331 331 326 330 342 332 268 241 276 302 297 282 268 270 278 283 282 282 296 329 311 267 208 140 67
8 7 5 6 6 6 7 8 7 7 6 6 8 9 11 11 12 12 14 16 17 17 18 18 19 19 20 20 21 23 25 30 33 33 31 27 22 24 24 22 22 22 22 21 19 16 15 14 11 10 9 8 8 8 8 6 6 6 6 6 6 5 4 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 57 158 217 189 126 95 136 211 168 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 27 59 116 189 241 276 299 313 318 319 315 302 315 353 367 357 340 333 341 340 321 301 294 303 314 288 240 168 100 51
8 7 5 5 6 7 7 7 6 6 5 6 8 9 10 11 12 13 13 14 16 15 16 17 18 19 19 19 20 21 23 26 30 30 28 24 21 19 20 18 19 20 20 17 16 14 15 14 12 10 8 8 8 8 7 6 6 6 6 6 6 5 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 101 164 175 145 98 114 174 94 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 39 90 160 224 263 289 309 313 309 316 347 405 428 425 409 396 395 398 379 342 308 293 294 289 249 208 157 115 82
8 6 5 5 6 6 6 6 6 5 4 7 8 9 10 11 11 9 11 13 15 15 16 18 18 18 18 18 18 20 22 24 26 26 24 22 20 21 21 18 19 19 18 16 14 12 13 13 11 9 8 8 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 48 91 121 131 118 123 159 47 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 3 25 69 133 199 246 281 302 296 295 318 366 424 458 452 440 433 429 415 381 341 320 317 316 294 240 205 172 145 117
7 5 5 6 6 6 5 5 5 5 6 7 7 7 8 10 11 11 10 12 12 13 15 16 16 17 17 18 18 19 21 22 22 22 20 19 16 18 19 18 18 19 17 16 15 13 11 11 9 8 8 8 8 7 6 6 6 6 6 5 4 4 4 4 3 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 26 47 66 80 90 97 13 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 53 105 160 207 238 255 258 272 304 347 389 423 421 421 424 419 403 377 357 357 360 347 312 261 217 174 147 124
6 5 4 6 7 6 5 4 4 5 6 6 5 6 7 9 10 10 11 11 11 12 14 15 16 16 17 18 18 19 20 21 21 21 20 19 16 17 16 16 17 17 16 16 15 12 11 11 9 8 8 8 7 7 6 6 6 6 5 4 4 4 4 4 3 3 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 12 20 20 1 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 41 75 114 150 174 189 235 284 313 337 355 363 361 381 404 411 409 407 410 410 406 391 365 317 236 158 123 103
5 5 5 7 6 6 5 4 4 5 5 5 5 6 7 9 10 10 11 11 12 13 14 15 16 17 17 15 15 17 18 18 18 18 19 18 17 19 15 14 13 13 12 11 9 9 9 8 8 8 8 7 6 6 6 6 5 5 5 4 4 4 4 3 2 1 0 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 1 6 19 37 57 82 126 206 348 413 401 409 418 409 400 416 442 449 448 450 454 447 448 421 367 291 203 131 104 78
6 5 6 7 6 5 4 4 4 4 5 5 4 5 8 9 9 10 9 10 11 11 12 13 15 15 15 14 14 16 17 17 17 16 17 16 16 15 13 12 11 10 8 7 6 7 7 7 8 8 8 7 7 6 6 6 6 4 4 4 4 4 3 2 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 1 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 25 32 43 72 155 316 535 615 623 634 618 575 533 511 500 486 473 469 474 473 446 377 294 211 144 104 92 68
6 5 6 5 5 4 4 4 5 4 4 5 5 7 8 9 9 9 8 9 9 10 10 12 14 14 14 14 15 16 16 16 15 15 15 14 14 13 12 12 10 9 9 8 8 8 8 8 8 8 7 7 7 6 5 5 5 4 4 4 4 4 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 1 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 35 43 44 55 92 200 396 624 759 854 840 770 698 638 591 547 506 485 485 485 460 409 333 248 170 112 79 66 66
6 5 6 5 4 4 4 4 5 4 4 5 6 7 7 8 8 8 8 7 8 8 10 13 14 14 15 16 16 16 17 16 15 14 14 13 12 12 12 11 10 10 9 8 8 8 8 9 8 7 7 7 6 6 5 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 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 1 10 22 32 39 49 82 165 314 489 626 699 708 677 645 624 608 583 544 575 601 603 561 469 335 226 160 106 61 42 65
6 6 6 6 5 4 4 5 5 5 4 5 6 7 7 8 8 7 7 7 8 8 10 12 14 15 17 18 17 18 19 17 14 14 14 13 13 13 11 10 10 9 9 8 8 8 8 8 8 7 6 6 5 5 5 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 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 2 4 8 12 22 51 93 148 214 277 322 359 396 431 477 529 570 585 680 732 735 657 491 287 165 126 91 53 40 81
6 5 6 6 5 4 5 5 5 5 5 6 7 7 7 7 7 6 5 6 7 8 9 12 14 16 18 20 20 20 19 16 14 14 14 13 12 11 11 9 10 9 8 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 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 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 1 5 21 54 77 97 118 141 169 197 230 300 385 463 523 603 664 703 660 514 312 170 112 93 78 79 124
6 6 6 6 6 5 6 5 5 5 5 6 7 7 7 7 7 6 5 6 7 8 9 11 14 17 19 20 20 19 19 17 15 14 13 12 11 11 10 9 10 8 7 7 7 6 6 6 5 5 5 4 4 4 4 4 3 3 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 0 0 0 0 1 6 30 52 77 102 130 162 185 175 219 263 301 340 386 443 513 549 513 400 265 189 154 128 133 179
5 5 6 6 7 6 6 5 5 5 5 5 5 6 7 6 6 6 6 7 7 7 8 10 14 16 17 19 19 18 17 17 16 14 13 12 11 10 9 9 9 8 7 7 7 6 6 6 5 4 4 4 3 4 3 3 3 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 32 36 37 48 75 105 140 182 220 209 209 197 196 206 220 260 323 383 422 413 351 301 243 190 192 237
5 5 5 6 6 6 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 7 10 13 15 17 18 19 18 17 16 14 13 12 11 10 9 9 8 8 7 7 6 6 6 5 4 4 3 3 2 2 3 3 2 2 2 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 5 29 46 55 59 69 94 116 130 149 179 201 198 185 203 212 198 199 235 269 307 325 311 277 231 217 250 300
5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 4 5 5 5 5 5 6 7 9 12 15 16 16 17 17 16 15 15 14 12 11 10 10 9 7 7 7 7 6 6 5 5 4 3 2 0 1 1 2 3 2 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 4 17 41 49 58 73 93 117 134 132 130 154 213 246 241 262 250 208 179 201 209 201 198 196 187 178 235 294 325
5 5 5 5 4 4 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 7 9 12 15 16 17 15 16 15 14 13 13 12 11 10 10 8 7 7 7 6 6 6 5 4 3 2 0 0 1 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 60 71 80 95 116 139 157 166 177 217 280 319 312 290 250 214 199 214 191 183 189 201 210 215 246 270 256
5 6 6 5 5 4 5 4 3 4 5 5 6 5 5 5 5 5 4 4 4 5 7 9 12 15 16 17 17 16 16 13 12 12 12 11 10 9 8 7 7 6 6 5 5 4 4 3 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 21 35 44 60 69 84 110 141 171 193 220 247 285 321 342 332 293 256 238 239 236 171 248 265 275 276 265 254 222 156
6 7 7 6 5 4 5 5 4 5 5 5 5 5 4 5 4 4 4 4 4 5 7 10 12 14 16 16 16 16 15 13 13 12 12 11 9 8 7 7 7 6 5 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 23 53 88 106 113 115 119 130 151 183 230 271 315 338 333 312 292 275 257 244 217 163 241 218 196 187 182 164 117 63
7 7 6 5 5 4 6 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 7 9 11 13 15 15 13 13 13 13 13 12 11 10 9 8 7 7 6 6 5 4 3 3 3 2 2 1 1 1 0 1 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 3 11 23 27 49 102 165 212 230 207 155 112 107 146 210 271 334 352 331 292 260 250 238 226 200 161 161 158 155 148 134 113 85 64
7 7 6 5 4 5 6 6 5 5 5 5 4 5 5 4 4 4 3 3 4 4 6 9 11 13 14 15 15 14 13 13 13 12 11 10 9 8 8 7 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 21 32 31 44 104 198 284 318 290 208 127 111 153 216 274 329 328 290 240 204 196 187 183 169 152 150 166 191 211 223 221 204 158
7 7 6 5 5 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 4 5 6 9 12 13 13 13 13 13 13 13 12 11 10 10 9 8 8 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 33 36 22 17 57 150 243 285 260 194 120 115 145 182 215 242 221 184 161 166 187 186 176 189 197 192 194 210 239 281 302 289 279
6 6 6 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 6 9 12 13 13 13 13 13 13 13 11 10 10 10 9 8 7 6 5 4 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 0 0 0 0 0 0 3 16 44 49 29 14 28 95 174 225 217 160 124 113 107 113 126 125 100 86 103 149 195 192 215 267 296 290 264 232 219 251 292 302 277
5 6 6 6 6 6 6 4 4 5 4 4 4 4 4 4 3 3 3 3 3 4 7 11 13 13 13 13 13 13 12 12 10 10 9 9 8 8 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 45 62 50 31 31 67 118 164 191 193 181 114 79 65 63 57 46 45 59 90 119 125 190 266 300 296 271 239 207 222 272 292 271
5 5 5 6 7 7 7 4 5 4 4 4 3 3 3 3 2 3 3 3 3 4 6 9 10 12 13 13 13 13 12 11 10 10 9 8 8 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 37 73 78 65 58 70 105 153 201 228 209 105 54 31 33 53 80 84 70 56 48 58 108 182 242 267 258 235 228 246 273 281 294
5 6 6 7 8 8 7 5 5 4 4 3 3 2 3 2 3 3 3 2 3 4 6 9 11 12 13 12 12 12 12 11 10 9 8 8 8 7 6 5 4 3 2 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 0 0 0 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 36 98 128 125 104 87 99 152 196 194 147 80 32 11 32 90 161 197 151 102 82 80 80 127 214 263 243 194 195 223 232 227 251
5 6 6 6 7 8 7 5 4 5 3 3 2 2 2 2 2 3 3 2 3 4 6 8 10 11 11 11 11 11 12 10 10 10 9 8 8 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 43 124 174 175 144 110 104 135 165 133 69 28 8 2 24 84 169 236 191 122 106 108 103 136 229 284 254 191 165 176 166 163 192
4 4 5 6 7 7 6 4 4 4 3 2 2 2 2 2 2 2 2 2 3 4 6 8 9 10 10 10 10 10 10 10 10 10 9 9 8 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 38 103 147 149 126 110 124 142 151 107 52 18 8 6 9 31 71 114 113 67 55 58 80 133 216 258 236 185 149 147 139 125 134
4 4 4 5 5 5 4 3 4 4 4 3 2 2 2 2 2 2 2 3 3 4 5 9 9 9 9 10 10 10 10 10 10 10 8 8 8 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 33 66 92 96 100 120 159 195 182 153 136 123 97 56 21 6 3 8 17 13 9 12 30 64 105 114 127 137 155 181 181 153 127
3 3 4 5 5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 4 6 8 9 9 10 10 10 10 10 10 10 10 8 8 7 7 6 5 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 0 0 0 0 0 0 1 10 43 81 73 60 65 78 85 101 137 192 246 248 252 279 287 249 166 72 30 10 3 1 0 0 1 5 11 21 22 72 134 193 232 229 188 144
4 3 3 4 4 3 3 4 4 4 3 2 2 2 2 1 2 1 1 2 2 3 6 8 10 9 10 10 10 10 10 10 10 9 8 8 7 6 5 4 3 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 1 2 2 7 7 2 0 0 0 1 5 30 99 157 133 94 76 86 106 125 168 219 261 274 280 292 289 255 190 109 67 33 13 4 1 0 0 0 0 3 12 52 93 139 176 186 164 133
3 2 2 3 3 2 3 4 3 3 3 2 2 2 2 2 1 2 2 2 2 3 5 8 9 9 10 10 9 9 9 9 9 8 8 8 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 13 11 6 2 0 0 1 5 15 49 112 164 142 104 84 95 130 170 214 250 269 270 262 244 219 189 144 91 70 42 21 9 4 2 0 1 3 9 15 18 25 39 60 81 91 80
3 2 2 2 2 2 3 3 3 3 2 2 2 2 2 1 1 1 1 1 2 3 4 7 9 9 9 9 9 9 9 9 8 8 8 7 7 6 5 4 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 1 2 3 4 3 2 1 0 0 0 1 11 22 26 24 13 4 1 1 4 12 29 55 90 124 126 108 106 133 177 208 253 284 300 301 285 251 202 156 106 58 40 23 13 9 6 3 0 1 4 5 4 2 2 3 7 17 36 56
3 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 2 3 5 7 9 9 8 8 9 8 8 8 8 8 8 8 7 6 5 4 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 1 3 8 12 11 9 5 1 0 0 1 8 21 33 35 32 28 22 14 11 14 22 40 53 74 102 124 133 152 195 238 260 292 318 334 337 323 283 210 142 103 70 32 10 4 3 3 2 0 1 10 9 3 0 0 0 1 3 10 25
2 2 2 2 2 3 3 4 3 3 2 2 2 2 2 1 1 1 1 1 1 3 5 7 9 8 8 8 8 8 8 7 7 7 8 8 7 6 6 5 3 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 1 6 14 19 16 10 5 2 2 3 6 14 29 39 39 28 17 17 21 25 28 34 48 61 82 112 145 175 210 253 284 299 312 337 356 362 348 309 243 177 118 67 27 8 4 3 1 0 0 0 7 6 2 0 0 0 0 1 2 6
2 3 2 2 2 3 4 3 3 3 2 2 2 2 2 2 1 1 1 1 2 3 5 7 8 9 8 8 8 8 8 7 7 7 7 7 6 6 6 4 3 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 1 3 9 15 18 16 11 8 7 8 6 5 8 23 28 30 31 33 36 34 33 35 40 50 70 96 129 164 201 233 264 274 277 284 302 334 361 364 330 255 178 121 80 51 31 16 7 2 0 0 0 1 1 0 0 0 0 0 0 1 4
2 2 2 2 3 4 4 3 3 2 2 2 2 2 2 1 1 1 1 1 2 3 5 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 5 3 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 1 2 4 8 10 11 10 9 8 12 15 10 3 4 21 26 32 36 39 38 37 37 36 39 52 77 105 131 156 175 187 193 198 202 209 225 264 310 331 316 262 172 139 121 102 79 55 35 16 5 1 0 0 0 0 0 0 0 0 1 2 6
2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 1 1 1 1 2 3 4 6 7 8 8 8 8 8 7 7 7 7 7 7 6 6 5 5 4 3 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 1 2 3 4 5 3 4 5 6 12 24 24 18 20 36 41 42 42 44 48 56 54 39 41 59 84 105 116 121 120 117 116 119 122 131 152 192 246 278 288 267 215 180 179 182 174 151 120 70 35 15 5 2 1 1 1 1 1 2 3 8 16
2 2 2 2 2 2 3 3 3 3 2 2 2 2 1 1 1 1 1 1 3 5 6 7 8 8 8 7 7 7 7 7 7 7 7 5 5 5 5 5 4 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 1 3 7 5 11 14 13 15 28 25 31 42 54 56 50 43 42 50 60 54 37 36 47 62 74 77 74 70 69 74 76 79 88 112 155 215 249 266 278 279 258 233 228 229 218 183 134 90 51 24 10 5 5 5 4 3 4 5 10 23
2 2 1 2 2 2 3 3 3 2 2 2 2 1 1 1 1 1 1 2 3 5 7 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 22 27 31 45 49 43 35 35 31 45 65 79 80 63 41 33 35 43 43 35 33 35 40 45 50 54 58 63 68 71 77 85 101 136 193 240 231 227 225 208 181 158 142 130 122 122 108 80 51 29 16 10 8 6 6 6 6 10 31
3 2 2 2 2 2 3 3 3 2 2 2 2 1 1 1 1 1 1 2 4 6 7 8 8 8 7 7 7 6 6 6 5 6 5 5 4 4 4 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 28 47 67 94 127 143 130 104 72 52 74 80 85 83 67 38 32 30 25 19 16 16 18 24 34 48 63 72 76 76 75 76 76 81 102 137 169 143 122 103 82 56 29 14 17 27 41 58 67 66 55 37 13 8 6 16 42 88 131 152
2 2 2 2 2 2 3 3 3 3 2 2 2 1 1 1 1 1 2 3 5 7 7 8 7 7 7 7 7 6 6 6 5 5 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 1 9 30 80 152 237 314 347 312 194 80 92 82 74 67 55 36 30 28 18 6 1 2 4 9 19 37 62 73 77 75 69 61 53 46 52 62 62 43 31 23 17 10 4 3 3 6 10 18 36 55 64 51 17 7 7 57 151 262 349 365
2 2 2 2 2 2 3 3 3 3 2 2 1 1 1 1 1 2 2 4 6 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 3 3 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 0 0 0 0 0 4 47 137 272 435 584 599 381 161 105 84 74 62 50 40 39 36 26 15 7 2 3 10 27 51 75 81 78 69 57 44 31 18 15 16 13 8 7 6 5 4 5 5 6 7 7 9 17 33 48 46 26 13 16 76 193 343 477 474
2 3 3 2 2 2 2 2 2 1 1 2 1 1 1 1 2 2 3 4 6 8 8 8 7 6 5 5 6 6 5 4 4 4 4 4 3 3 3 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 9 76 205 381 576 706 575 397 270 167 92 69 57 54 61 62 59 48 37 31 28 27 42 69 92 88 69 49 31 18 10 5 5 5 5 5 5 4 5 6 7 9 8 7 7 7 9 16 26 32 31 27 34 112 209 298 360 393
4 4 4 3 4 3 2 2 2 1 2 2 1 1 1 1 1 2 3 5 6 7 7 8 7 7 7 6 6 6 6 5 4 4 4 4 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 4 25 76 153 258 401 593 555 397 231 122 90 82 68 65 71 79 92 90 79 70 66 55 65 78 80 59 33 15 6 3 2 3 5 5 6 6 6 5 5 5 7 8 7 6 5 4 4 7 12 22 36 56 89 146 181 199 238 351
5 5 5 4 3 4 3 2 2 2 1 1 1 1 1 1 2 2 3 6 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 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 12 49 91 109 139 231 362 270 160 94 78 94 97 85 75 74 82 95 108 114 114 108 97 80 76 62 37 15 4 1 1 1 2 5 6 6 6 6 6 5 5 5 6 6 5 4 4 3 3 6 17 58 116 168 158 97 74 167 351
7 6 6 6 6 6 5 3 2 2 2 2 1 1 1 1 2 3 4 6 7 7 7 7 7 5 5 5 6 6 5 5 5 4 4 4 3 3 3 3 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 43 41 33 69 114 67 56 73 94 106 106 100 81 77 85 99 111 110 97 77 56 35 26 20 12 5 1 0 0 0 1 3 5 6 6 7 7 6 6 6 7 6 5 5 4 3 2 3 15 78 141 160 107 35 35 195 401
8 7 6 7 6 5 4 3 3 2 2 1 1 1 1 2 3 3 5 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 3 2 2 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 4 11 17 14 3 8 20 34 57 90 113 118 107 95 74 69 74 88 103 104 83 56 33 20 9 3 1 0 0 0 0 1 1 2 4 5 6 7 7 8 9 10 11 10 9 7 5 3 2 3 25 76 104 90 40 27 102 271 391
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8 7 6 5 6 4 5 5 4 2 1 1 1 1 2 4 5 5 5 5 5 5 5 4 5 6 6 5 5 5 5 4 4 4 3 3 3 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 1 5 14 22 29 38 55 78 101 111 104 87 69 59 55 60 72 86 81 47 33 28 18 8 2 0 0 0 1 2 3 4 5 6 7 10 12 14 16 18 19 18 15 9 7 5 5 23 88 140 143 116 114 186 258 200 122
8 7 7 6 6 7 6 5 4 3 2 1 1 1 2 4 5 4 4 4 6 6 6 5 5 5 6 5 5 5 5 4 4 4 3 3 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 2 8 29 55 69 57 47 48 62 88 105 102 86 66 51 48 56 70 83 87 93 87 66 34 8 3 1 0 1 4 6 8 9 10 11 12 14 17 19 21 22 22 19 16 11 7 7 8 18 49 101 142 144 154 186 151 90 48
7 7 7 7 6 6 6 5 4 3 2 1 1 1 3 5 5 3 4 4 4 4 4 5 5 6 5 6 5 5 5 5 4 4 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 79 120 110 79 52 41 50 74 89 94 78 55 39 40 57 79 109 143 201 174 114 51 9 2 0 1 3 8 13 14 15 15 15 15 17 20 22 23 23 20 17 14 10 7 10 15 17 21 32 59 79 90 89 58 33 20
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9 8 7 7 7 7 5 4 5 5 4 5 7 8 9 8 5 5 5 4 4 5 6 6 5 4 5 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 50 67 61 48 34 23 18 12 9 7 6 5 3 1 0 2 6 30 36 31 21 13 12 14 16 18 17 12 8 7 7 9 8 6 5 5 6 9 12 15 17 18 19 18 18 20 25 33 30 23 16 14 12 12 13 13 12
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