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 7 8 10 13 15 17 17 14 12 9 7 6 5 6 7 8 9 10 10 11 11 12 12 10 8 7 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 9 13 17 20 21 18 14 10 7 6 5 4 4 4 5 5 6 8 10 11 9 7 7 8 7 7 7 7 7 6 5 3 2 2 4 5 6 5 4 4 4 7 9 10 9 6 3 3 5 6 6 6 7 8 9 9 8 7 7 8 9 11 11 11 9 8 8 8 7 7 9 10 10 9 8 8 7 7 6 5 5 7 10 11 12 12 11 10 8 7 8 9 11 11 10 9 8 7 6 4 3 3 4 4 5 7 10 10 8 6 5 5 6 6 4 3 5 8 8 5 2 1 3 5 5 2 -0 1 4 7 9 10 11 12 12 12 11 10 9 9 10 10 10 8 nan
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nan 18 20 19 16 13 10 8 9 10 11 12 12 13 13 13 12 11 10 8 6 5 7 9 10 11 9 6 2 -0 -1 0 2 2 2 1 -0 -0 1 3 5 6 7 9 10 10 11 13 16 17 14 10 9 10 12 13 10 7 6 8 10 11 12 13 13 12 10 6 3 3 4 6 7 7 6 6 7 8 7 5 4 6 7 7 7 6 5 6 9 13 16 16 14 11 11 12 13 13 15 16 15 12 10 9 10 11 11 9 6 5 6 7 9 10 11 10 9 8 10 13 16 18 19 18 13 7 6 8 10 9 8 7 6 5 6 9 14 16 16 13 8 5 3 3 6 7 6 5 7 10 12 12 10 7 5 4 7 8 9 10 10 9 7 7 7 8 7 5 4 3 3 3 4 5 6 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 nan
nan 15 17 17 15 11 8 7 7 9 10 11 11 11 12 12 11 10 9 8 5 4 7 9 11 10 9 7 4 2 1 2 4 6 7 6 5 3 3 4 5 7 9 11 12 13 15 16 17 17 14 11 10 11 13 14 12 8 5 6 8 9 11 13 13 12 10 7 4 4 5 6 8 9 10 10 10 9 6 4 3 5 7 8 8 7 7 9 12 15 17 17 14 12 13 15 16 17 17 17 14 11 7 5 4 4 4 5 6 6 7 8 10 11 12 10 5 3 4 7 11 15 18 18 16 12 11 13 13 10 7 4 2 -0 -1 2 8 14 16 15 12 8 4 1 2 4 5 6 8 10 12 12 9 7 6 7 7 7 7 9 10 10 9 8 8 8 7 6 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 12 15 15 12 9 7 7 8 9 10 9 9 10 11 11 10 9 8 6 4 4 8 10 10 10 9 9 7 6 5 5 6 8 9 8 7 5 4 4 5 7 9 10 11 14 16 18 18 17 14 12 11 11 13 14 12 9 7 6 7 8 9 11 12 12 11 10 7 5 5 5 7 9 10 11 11 9 6 4 3 4 6 8 8 8 9 11 14 16 17 17 15 15 18 21 19 16 14 12 10 7 4 2 -2 -3 -1 2 5 6 6 8 10 13 15 13 6 0 -1 2 6 11 15 17 17 16 16 16 14 10 6 4 2 -0 -2 -2 2 7 11 13 13 11 8 5 4 5 6 8 9 11 12 11 9 7 7 8 8 7 8 9 12 13 11 9 8 7 7 7 6 6 6 6 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 12 14 13 9 7 6 7 9 10 9 8 8 9 10 10 9 8 6 4 4 6 9 10 9 8 7 8 8 7 6 6 7 9 9 9 8 6 5 5 5 6 7 8 9 11 15 18 17 15 13 12 12 12 13 14 12 10 8 7 6 6 7 9 11 13 12 11 9 7 6 5 5 6 7 8 9 8 5 3 2 3 4 6 7 8 10 13 15 16 16 16 16 17 20 21 18 14 11 9 8 6 3 -1 -4 -4 -1 2 4 6 7 8 11 15 18 17 11 3 -1 -1 2 7 12 15 15 14 14 15 14 11 9 8 8 7 5 3 3 4 6 9 11 13 13 12 11 10 10 10 10 10 10 9 9 8 8 9 10 10 11 13 15 17 15 10 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 13 14 11 7 5 5 8 10 11 10 9 8 9 9 8 7 6 5 4 6 9 10 10 9 7 6 6 7 7 8 9 9 11 11 11 10 8 7 6 5 5 6 7 7 10 13 14 13 11 11 12 13 13 13 13 12 10 8 7 5 5 6 9 12 15 14 12 10 8 8 8 7 6 5 5 6 6 4 3 2 2 3 3 5 8 11 13 15 15 14 13 14 16 18 17 13 10 9 8 8 5 2 -1 -2 -1 2 4 6 7 8 10 12 15 18 18 16 9 3 1 2 5 10 13 12 12 12 13 13 11 10 11 12 13 12 11 10 9 8 9 11 13 14 14 14 13 11 10 10 10 9 9 10 11 11 11 12 13 14 16 19 20 17 11 7 6 7 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 nan
nan 14 13 9 5 4 6 9 12 12 12 11 10 8 7 6 5 5 5 5 8 11 12 10 8 6 5 4 6 9 12 13 14 15 14 14 13 11 9 7 6 5 6 7 8 9 11 10 8 8 11 13 14 13 12 12 13 12 10 9 8 7 7 8 11 14 15 12 10 10 11 11 11 9 6 5 5 5 5 5 4 4 4 4 3 6 9 12 14 14 12 11 11 13 16 15 11 9 8 9 9 8 6 3 1 1 3 5 8 10 12 14 14 14 15 16 16 14 9 6 5 6 8 10 10 10 11 11 11 10 8 9 10 12 14 15 14 13 12 11 12 12 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 12 14 17 20 21 19 13 8 7 7 8 9 10 10 10 9 9 8 7 7 7 8 9 9 10 9 9 8 8 7 7 7 7 nan
nan 14 12 8 4 4 7 10 13 13 12 11 9 7 6 5 4 4 5 8 10 13 13 11 9 6 4 3 6 11 14 15 16 16 16 15 15 15 13 9 7 6 6 7 8 8 7 5 4 7 11 15 16 13 10 10 11 12 12 11 11 10 8 6 7 10 12 11 9 10 12 14 13 11 8 6 5 5 7 9 10 10 9 7 5 4 7 10 13 13 12 10 10 11 13 13 11 9 9 10 11 13 13 9 4 2 3 7 11 15 17 18 16 12 10 11 13 13 12 10 9 8 8 7 6 7 8 9 8 6 5 5 7 10 12 14 14 12 11 11 11 9 8 9 10 10 10 10 11 12 13 14 13 11 9 9 9 10 13 17 21 22 20 15 11 9 8 9 10 11 11 10 9 8 8 8 8 9 10 10 11 11 10 9 9 8 8 8 8 8 nan
nan 13 11 7 6 7 10 12 13 12 10 8 7 6 5 4 5 5 8 11 12 14 14 12 10 7 5 4 5 9 12 13 13 13 14 15 16 17 16 13 10 8 7 7 7 6 4 1 1 5 10 15 17 14 11 9 9 10 11 11 12 11 10 7 6 8 10 9 9 9 10 12 12 10 8 6 6 7 9 11 12 13 12 10 7 5 5 8 11 13 12 10 8 8 9 9 8 8 9 11 12 14 15 11 6 3 4 9 14 19 20 19 15 9 7 7 7 8 8 9 10 10 9 8 6 6 7 7 7 6 4 4 4 6 7 9 10 10 10 8 8 8 9 11 12 11 11 10 10 12 13 13 12 9 7 7 7 8 12 18 22 22 21 18 13 10 10 10 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 8 nan
nan 11 9 7 8 10 13 14 14 12 9 6 4 3 4 6 8 9 11 13 13 12 11 11 11 10 7 5 4 5 7 7 8 9 12 14 17 17 16 15 13 12 11 10 9 7 3 1 1 4 9 12 14 15 13 10 9 9 9 9 9 10 10 10 8 8 9 10 9 8 8 9 9 8 7 6 7 9 11 11 11 10 10 10 8 6 5 6 9 11 12 10 7 6 6 5 6 7 8 9 10 11 11 10 8 7 7 10 14 17 17 14 10 7 6 6 6 5 5 6 8 9 9 9 9 8 8 8 8 8 7 4 2 2 2 4 6 8 8 7 6 7 10 12 12 11 10 10 10 11 11 11 10 9 7 6 5 6 10 17 22 22 21 18 15 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 nan
nan 10 6 5 7 10 14 16 16 14 11 6 3 3 5 9 11 13 13 13 11 10 9 9 8 7 6 4 3 3 3 4 5 7 10 14 16 16 16 16 16 16 16 15 14 11 6 4 5 7 9 10 11 12 13 12 11 10 9 8 7 8 9 10 10 9 9 10 10 10 9 9 8 7 6 6 7 9 10 10 8 7 7 8 8 7 6 5 7 9 10 9 7 5 4 4 4 6 7 7 7 8 10 10 10 9 8 8 10 11 11 8 6 6 6 7 7 6 5 4 5 6 7 8 9 10 10 10 11 11 10 7 4 2 2 3 4 6 7 7 6 6 7 8 9 9 9 10 11 11 10 9 9 9 8 7 6 6 9 14 19 21 20 18 15 13 12 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 nan
nan 8 3 1 3 7 12 16 18 18 14 8 4 5 8 11 12 12 12 12 10 9 9 8 5 3 2 1 2 3 4 5 5 6 9 12 14 15 16 17 18 18 18 18 17 14 10 9 10 11 11 11 10 10 11 12 13 13 12 10 8 8 8 9 9 9 9 10 11 12 13 11 9 8 7 6 6 6 6 6 6 4 3 5 8 9 8 7 7 7 9 9 9 7 6 6 6 7 8 9 10 11 12 12 11 9 7 6 7 7 8 8 7 6 6 7 7 7 7 6 6 6 7 8 8 9 10 10 10 11 13 12 9 7 6 6 7 7 7 7 7 7 7 8 9 9 10 12 12 11 10 9 8 8 8 9 8 8 8 11 15 19 20 18 15 13 13 14 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 nan
nan 4 -1 -2 0 4 10 15 19 20 16 10 7 8 9 10 10 10 10 10 10 10 8 6 4 1 -1 -0 1 3 6 7 8 8 8 9 11 13 15 17 18 17 16 16 16 15 13 12 13 13 13 12 12 12 12 13 14 15 14 13 11 9 8 8 9 9 9 10 11 12 12 11 10 9 9 8 6 4 2 3 2 0 -0 3 7 10 11 11 10 9 10 12 13 13 11 9 9 10 11 13 14 14 13 12 11 9 8 7 6 6 6 8 8 7 6 6 8 9 9 9 9 10 11 11 10 10 9 8 7 10 13 15 14 12 11 10 10 9 7 7 9 12 13 13 12 11 12 12 11 10 9 9 9 9 10 9 7 5 6 8 13 18 20 19 16 14 14 14 14 14 14 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 1 -3 -3 -0 3 8 14 19 20 19 14 10 9 8 7 8 8 9 10 10 9 7 5 3 2 1 2 3 5 7 9 10 10 8 7 8 11 13 14 14 14 13 13 14 15 15 13 11 10 10 11 12 13 15 15 15 14 14 12 11 9 8 8 8 9 9 10 10 10 9 9 9 9 9 8 6 3 1 0 -0 -1 -1 1 5 9 12 14 14 14 14 16 17 16 13 10 9 11 13 16 16 14 13 12 11 10 10 8 6 5 5 7 8 9 8 8 9 10 11 12 12 13 14 14 14 12 11 8 7 9 12 15 15 14 12 10 9 8 7 9 12 15 16 16 13 11 11 10 9 8 8 8 9 10 11 9 5 3 4 8 13 17 19 19 17 15 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 nan
nan 1 -1 -0 2 4 8 14 19 22 22 18 12 8 6 5 6 8 9 9 8 7 5 4 4 5 6 7 7 7 7 8 9 10 10 9 9 10 10 10 9 9 9 11 14 16 15 13 9 7 7 8 9 12 14 14 12 11 11 10 9 8 7 7 7 8 9 10 10 10 9 9 9 8 8 7 6 4 2 1 1 1 1 2 5 8 11 14 16 18 20 20 18 14 11 8 7 9 13 16 16 15 14 12 10 8 7 6 7 7 7 8 9 10 11 10 10 10 10 11 11 12 14 15 15 14 12 10 9 9 11 13 14 14 12 10 9 9 10 12 13 14 14 14 13 11 9 7 6 5 5 5 7 9 10 8 4 3 5 8 12 15 17 17 16 15 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 nan
nan 4 5 6 6 7 9 14 21 25 25 21 16 10 6 5 6 7 8 8 7 7 7 7 8 10 11 12 11 9 7 7 8 9 10 11 11 10 9 8 6 5 6 8 12 14 14 12 9 7 6 6 7 8 9 9 9 9 9 11 10 10 8 7 5 6 7 9 10 10 10 10 9 7 6 6 5 4 4 4 4 4 4 5 6 8 11 14 18 21 24 22 17 12 8 6 5 6 10 15 17 17 16 13 8 4 1 3 6 8 9 9 9 9 9 9 9 8 7 6 7 9 11 13 14 14 13 12 10 10 10 11 13 14 14 13 12 13 14 14 12 11 12 12 13 10 7 5 4 4 3 3 5 7 10 9 6 4 5 7 10 13 15 15 14 13 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 9 9 8 8 7 7 7 nan
nan 7 10 11 9 8 10 15 23 30 30 26 21 15 9 6 6 6 7 8 8 8 9 11 12 13 15 15 14 11 8 7 7 8 10 10 10 9 8 7 6 5 4 5 8 11 12 11 9 8 7 6 6 6 6 6 6 8 10 13 15 14 12 9 6 4 5 6 7 9 9 9 8 7 6 5 5 5 6 7 7 7 6 7 8 9 12 14 17 21 23 21 16 12 9 7 6 6 7 11 14 16 15 11 6 2 -0 1 3 6 6 7 7 6 6 6 6 6 4 2 2 4 7 9 12 12 11 11 11 11 10 10 12 13 14 14 13 14 13 12 10 10 10 11 12 10 7 6 6 6 5 4 4 6 9 10 7 5 5 6 9 11 13 13 12 11 11 10 9 9 9 9 10 11 12 12 11 11 10 10 11 11 10 9 8 8 7 7 7 7 nan
nan 10 10 10 7 6 8 15 24 33 36 32 26 19 12 7 5 6 8 9 9 9 9 10 12 13 15 16 16 15 12 10 9 8 8 8 8 6 5 6 7 7 7 6 6 8 10 10 9 8 6 6 5 5 5 6 7 10 13 16 18 17 15 12 10 8 8 7 8 8 8 7 6 6 6 6 6 7 8 9 9 9 8 8 9 10 12 14 16 18 19 17 15 12 11 10 8 7 6 7 10 11 10 7 4 2 2 2 3 4 5 5 4 3 2 4 6 6 5 2 1 2 4 8 10 9 9 10 12 12 12 11 11 11 11 11 10 10 10 9 8 9 10 10 10 10 10 10 11 10 8 5 4 6 9 9 7 5 5 6 8 10 11 10 10 9 9 8 8 7 7 7 8 9 11 12 12 11 11 10 11 11 10 10 9 8 8 8 8 7 nan
nan 13 10 7 4 4 7 13 22 30 34 32 26 19 13 9 7 7 9 10 10 9 9 10 11 13 15 17 18 18 17 14 11 9 7 7 6 5 5 5 7 8 9 8 8 8 9 9 9 7 6 5 5 5 6 8 10 12 15 17 18 16 13 11 12 13 14 13 12 11 9 8 7 8 8 8 8 8 9 9 9 9 8 9 10 10 11 12 13 13 13 13 12 11 9 8 7 8 8 9 10 9 7 5 3 3 3 5 8 8 6 3 2 1 3 6 9 10 10 7 5 5 7 9 10 9 8 10 12 13 12 11 10 9 8 7 6 5 5 5 6 7 9 9 9 9 11 12 13 11 9 5 4 7 8 7 5 3 3 5 7 8 8 8 7 7 7 7 6 6 6 6 7 8 10 12 12 12 12 11 11 11 11 10 9 8 8 8 8 7 nan
nan 14 10 6 5 5 7 11 17 22 24 22 18 13 11 10 10 11 12 12 11 11 11 12 12 13 14 15 16 18 18 17 13 9 7 6 6 7 7 8 8 9 10 10 9 9 8 8 8 7 7 6 7 7 8 9 11 12 14 14 14 11 9 8 10 13 16 17 17 15 12 11 11 11 10 10 9 9 8 7 6 6 7 8 9 10 11 11 11 11 10 10 10 9 7 6 7 10 13 14 13 10 8 6 5 5 6 8 10 10 7 4 3 3 6 10 12 12 13 13 12 12 13 13 12 11 10 11 12 13 12 10 9 8 7 6 4 3 3 4 5 6 7 7 7 8 10 12 12 9 6 3 4 7 8 7 4 1 1 4 7 8 8 7 6 6 6 6 6 5 6 6 6 7 9 10 12 12 12 12 12 11 11 10 9 8 8 8 7 6 nan
nan 11 8 7 7 8 9 10 12 14 14 12 10 9 8 10 12 13 14 12 10 10 12 13 14 13 13 12 12 14 15 16 14 11 7 7 7 9 10 11 11 11 10 10 10 9 8 7 7 7 8 9 10 11 11 11 11 12 12 11 10 7 5 5 8 11 14 18 20 19 16 12 11 11 11 10 9 8 6 4 3 4 6 7 8 9 10 11 11 10 9 9 9 9 9 9 11 13 15 14 12 11 10 10 11 12 12 11 10 9 8 6 6 7 9 10 10 10 10 13 15 17 17 15 14 13 12 12 12 12 11 10 9 9 9 8 7 6 6 6 6 6 5 5 7 9 11 13 11 7 5 4 4 6 8 8 6 3 3 6 8 9 9 8 7 6 6 6 6 6 6 6 7 7 8 9 10 11 12 12 12 11 11 10 9 8 8 7 7 6 nan
nan 8 6 7 9 10 10 10 10 10 9 7 6 6 8 9 11 12 13 11 9 8 9 11 12 11 9 8 9 11 13 14 14 13 10 8 8 10 11 12 12 11 10 8 9 9 8 8 8 9 10 12 13 15 14 14 13 12 12 11 9 6 4 4 6 9 13 17 20 22 19 14 11 10 9 9 8 7 6 4 3 5 6 7 9 9 10 11 11 10 9 9 10 12 14 15 15 14 13 11 9 9 10 12 15 17 17 14 11 9 9 10 11 10 9 8 7 6 8 10 14 16 14 12 13 13 13 13 12 11 10 9 9 10 10 11 11 10 9 7 5 4 5 6 8 10 12 12 9 7 7 7 6 6 7 8 8 6 6 8 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 7 8 9 10 11 11 11 11 10 9 8 8 8 8 7 nan
nan 7 6 7 8 9 10 11 11 10 9 6 5 6 8 9 9 9 9 9 7 5 6 8 9 7 4 4 7 11 12 13 13 13 12 10 8 8 9 10 10 9 8 7 7 9 10 10 10 10 11 13 15 17 17 16 15 14 14 13 11 8 6 5 6 8 11 14 18 21 20 15 12 10 9 9 8 7 5 4 5 6 8 9 10 11 11 11 11 10 9 10 12 15 17 18 17 14 12 9 7 7 8 11 16 19 19 17 14 12 12 13 13 11 8 6 5 6 8 11 12 12 9 9 10 12 13 12 11 10 10 9 9 10 10 11 11 10 8 5 3 4 6 8 10 11 10 8 6 7 9 10 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 9 9 8 8 8 7 7 8 8 9 10 10 10 10 9 9 9 9 8 8 nan
nan 7 5 5 6 7 9 11 11 11 10 8 7 7 8 9 10 9 8 7 6 4 4 5 6 5 2 2 6 10 13 13 13 13 13 10 7 5 6 6 7 7 7 7 8 9 11 12 12 12 11 11 13 15 16 16 15 15 15 15 14 11 7 6 6 7 9 11 13 16 16 15 12 10 9 8 8 7 5 5 6 8 10 11 12 13 12 12 10 10 10 12 14 16 17 18 18 16 13 10 7 5 6 9 14 17 19 18 17 16 15 14 13 10 7 5 5 7 10 13 13 12 10 10 11 12 12 11 10 9 9 9 9 9 9 10 10 9 6 4 3 5 8 11 11 10 8 6 5 7 10 13 13 12 9 7 7 9 10 11 11 10 9 9 9 9 9 10 11 12 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 nan
nan 6 5 4 3 4 6 8 10 11 10 9 8 7 7 8 9 9 8 7 6 6 5 6 5 4 2 3 6 10 13 15 15 14 12 8 5 4 5 6 7 8 9 9 9 10 12 14 15 14 12 11 11 12 13 13 13 13 14 15 15 13 9 7 7 7 8 9 10 11 12 12 11 10 9 8 7 6 5 5 7 10 12 13 14 13 13 11 10 9 10 12 15 16 15 16 17 17 14 11 7 5 5 8 11 13 15 15 14 13 12 11 11 9 7 6 7 10 13 15 15 15 15 15 15 13 11 9 8 8 8 9 9 9 9 9 9 8 6 5 5 7 9 11 10 8 5 4 6 10 14 16 16 14 9 7 8 10 13 13 13 11 10 9 9 9 10 11 12 12 13 12 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 nan
nan 7 7 5 3 2 3 5 8 9 9 8 8 6 6 6 7 8 8 8 8 8 8 8 7 6 5 5 8 11 15 18 18 15 10 6 5 5 6 9 11 12 14 13 12 11 12 15 17 18 15 12 10 9 9 9 10 11 12 13 14 13 11 9 7 7 6 7 8 9 10 10 11 10 9 7 6 4 4 6 8 11 12 13 12 11 10 9 9 9 11 13 14 14 13 14 15 16 15 13 11 9 8 7 8 10 11 11 10 9 8 7 6 7 7 8 9 12 14 16 16 16 17 19 18 16 13 10 8 6 6 7 7 8 8 8 8 8 6 6 6 8 9 10 8 6 3 3 6 11 15 16 15 12 9 7 9 12 15 16 15 13 11 9 10 10 11 12 13 13 13 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 nan
nan 8 8 8 5 2 2 4 7 8 8 7 6 5 4 4 6 7 9 9 9 10 10 10 9 7 8 9 11 13 16 17 16 13 9 6 6 6 8 11 14 16 18 18 15 12 12 14 18 20 18 13 10 8 7 7 8 9 10 11 12 12 13 12 10 8 7 6 7 8 9 9 9 9 8 7 5 4 4 5 8 9 10 9 8 7 6 7 7 9 11 12 13 12 11 12 14 16 17 17 15 13 10 8 8 8 9 9 8 7 5 5 5 6 7 8 9 11 14 15 15 14 15 16 18 18 16 13 10 8 6 6 7 8 8 8 8 7 6 6 7 8 9 9 7 5 4 4 5 7 8 9 9 9 8 8 10 12 14 16 15 14 12 12 12 12 13 14 14 14 13 13 12 11 11 11 11 11 11 10 10 10 9 9 8 8 8 7 7 6 nan
nan 7 9 9 8 5 4 4 6 7 8 7 5 4 4 5 7 9 10 10 10 12 12 12 11 9 9 10 11 12 13 13 12 10 8 6 6 7 8 11 14 17 19 20 16 12 10 11 14 18 18 14 10 8 8 8 8 9 10 10 11 12 13 13 12 11 10 10 10 10 10 9 9 8 8 7 6 5 5 5 6 7 7 5 4 4 4 5 6 9 11 12 13 12 11 12 14 17 19 19 18 14 11 10 9 9 8 8 7 6 4 4 5 5 6 7 8 10 12 13 13 12 12 13 14 16 16 15 13 10 9 8 8 8 8 7 7 7 6 7 8 9 9 8 7 6 6 5 4 2 1 2 4 7 8 9 9 10 11 12 13 14 14 14 14 15 15 15 15 15 14 13 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 7 7 8 nan
nan 7 8 9 10 9 8 6 6 7 7 7 6 5 5 7 10 12 13 12 12 13 14 14 13 10 8 8 9 9 9 9 9 8 7 6 6 7 8 10 12 14 15 16 14 10 8 8 10 13 14 13 10 8 8 8 9 9 10 11 11 11 12 13 14 14 15 15 16 16 14 12 10 9 9 9 8 7 6 6 6 6 5 4 4 4 4 4 6 8 10 13 13 12 10 11 14 17 20 20 17 13 11 10 10 9 8 7 6 5 4 3 3 4 5 7 8 9 11 11 11 11 11 11 11 12 13 12 11 11 10 10 9 9 8 8 7 7 7 7 8 8 9 8 7 6 6 5 4 2 1 1 4 6 8 9 9 8 7 8 9 11 14 15 16 16 16 16 16 16 15 14 13 12 12 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 nan
nan 9 8 10 12 13 12 10 8 7 6 6 5 6 7 9 12 14 14 14 13 13 14 15 14 11 7 5 6 7 7 8 8 9 8 7 6 7 8 9 11 11 10 10 9 8 8 8 8 8 10 10 9 8 8 8 9 9 10 10 10 9 10 11 13 14 15 16 18 19 19 17 14 12 10 10 10 9 8 7 6 6 5 5 6 6 5 5 5 6 9 12 14 13 11 11 13 17 18 18 15 12 10 10 9 8 6 5 4 3 3 2 3 4 6 7 9 10 10 11 11 11 10 10 10 9 8 8 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 4 4 5 7 8 10 10 9 7 6 7 10 13 15 16 16 16 16 16 15 13 12 12 11 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 nan
nan 7 7 9 12 15 16 14 11 8 6 5 5 5 7 9 11 13 14 14 13 12 12 13 13 11 6 3 4 5 7 8 9 9 8 7 7 7 8 9 10 10 9 7 6 7 9 9 8 7 6 6 7 8 8 8 8 8 9 9 8 8 8 9 10 11 11 11 12 16 20 22 20 17 13 11 10 9 8 7 7 6 6 6 7 8 8 6 5 6 8 12 14 13 11 11 12 15 17 16 13 10 10 10 9 7 4 2 2 1 2 3 4 5 7 8 10 10 10 10 11 10 10 9 9 8 7 6 5 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 7 6 6 7 8 9 11 11 10 9 9 10 13 15 15 14 14 13 13 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 5 5 6 9 14 17 17 14 10 7 5 5 5 5 7 9 10 12 12 11 10 9 9 10 8 4 1 2 4 6 7 8 8 7 7 7 7 8 9 10 10 9 8 6 7 7 8 7 5 4 4 6 8 9 9 8 8 8 8 8 8 7 6 7 7 7 6 8 13 18 22 24 21 16 12 9 8 7 6 6 6 6 6 7 9 9 8 6 6 7 10 13 12 10 10 11 13 14 14 12 12 13 11 9 6 3 0 -1 -0 2 4 5 6 7 9 9 10 10 10 10 9 9 9 9 8 8 7 6 5 6 6 6 7 7 6 6 6 7 8 8 9 9 9 8 6 6 6 7 8 7 6 5 6 8 10 12 14 14 13 12 12 13 14 13 12 11 10 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 5 4 4 5 9 13 15 14 11 8 6 6 5 5 5 6 8 10 11 10 8 7 6 7 5 2 1 1 3 5 5 6 6 6 6 7 8 9 10 10 10 10 9 7 6 6 7 7 5 3 3 5 8 10 10 9 8 7 8 9 9 7 6 5 5 5 5 6 10 15 20 23 23 19 13 9 7 6 6 6 6 6 6 7 8 8 8 7 6 7 8 10 10 9 9 9 10 11 12 13 14 14 12 8 4 1 0 1 2 4 6 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 7 8 9 10 10 10 9 8 7 7 8 8 7 6 5 6 8 11 15 18 19 18 16 15 14 13 11 10 8 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 9 7 5 5 6 9 11 11 9 8 7 7 6 5 4 4 5 7 9 9 7 6 4 4 3 2 1 2 3 4 3 3 3 5 6 8 9 10 10 10 10 10 10 9 8 7 7 8 7 5 4 6 9 11 11 9 8 8 9 11 10 7 4 3 2 3 4 5 7 12 16 20 22 19 13 10 8 7 7 7 6 6 7 9 9 9 9 8 7 6 7 7 7 7 8 8 8 9 10 12 13 13 11 6 3 2 3 5 7 8 9 9 8 7 7 7 8 9 9 9 9 9 10 11 12 13 13 13 12 11 10 8 7 7 8 8 7 7 8 9 10 10 10 9 9 9 9 8 8 7 6 5 6 8 11 15 19 20 19 18 16 14 12 10 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 12 12 10 8 8 8 9 9 8 8 9 9 8 6 5 4 5 7 8 8 7 5 4 3 3 2 1 2 3 3 2 1 2 5 7 8 10 10 10 10 10 10 11 11 11 10 10 10 9 7 5 7 9 12 12 11 10 10 10 10 8 4 1 -0 0 1 1 2 5 8 12 15 17 16 13 10 9 10 11 10 9 9 12 14 14 12 10 9 7 6 6 6 7 7 7 8 8 8 10 12 12 11 9 6 3 3 5 7 9 11 10 9 8 7 6 7 7 8 9 10 11 12 14 16 18 20 21 21 19 17 14 11 9 8 8 8 8 7 7 8 8 9 9 9 10 10 10 8 6 5 6 7 9 9 11 13 15 17 18 16 15 13 11 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 14 14 13 12 11 10 9 10 10 11 11 10 9 7 6 6 7 8 9 8 7 5 4 4 4 3 2 3 4 4 3 3 3 5 7 9 10 10 10 9 9 9 11 12 12 12 12 11 10 7 5 6 8 11 13 12 11 11 9 7 4 1 0 0 1 1 1 2 5 8 10 12 13 13 12 12 12 13 14 14 13 14 16 18 18 16 13 10 9 8 7 7 7 7 8 9 10 11 12 13 12 11 9 7 5 5 6 7 10 11 11 10 8 7 7 7 7 8 10 13 15 16 16 18 22 26 28 28 26 22 18 13 10 8 8 7 7 6 5 6 6 7 7 8 10 11 10 8 6 5 6 9 12 13 13 13 13 14 14 14 13 12 11 11 11 11 11 11 11 12 12 12 13 12 12 11 9 8 8 9 10 10 10 10 10 10 10 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
86 87 87 90 99 110 117 119 114 110 105 99 90 82 86 95 98 99 100 99 98 99 96 101 101 99 94 92 93 92 91 92 91 87 84 81 76 66 59 55 54 62 71 80 92 108 123 126 106 90 80 77 77 76 74 72 77 92 105 112 111 100 82 69 61 49 20 4 0 0 0 0 0 1 1 1 1 1 11 42 78 106 127 161 217 225 207 194 178 150 116 87 59 24 2 0 0 0 0 0 1 2 2 0 0 0 0 0 0 3 17 42 55 62 58 48 38 35 36 33 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 157 495 673 660 630 656 692 729 698 633 593 597 633 677 712 736 752 749
85 86 86 88 95 108 121 126 120 117 115 108 96 84 82 95 101 101 100 95 88 83 85 95 99 102 98 94 92 90 88 88 87 87 90 91 83 69 58 53 52 61 75 85 93 101 114 121 112 105 100 98 93 86 81 76 74 79 78 77 88 90 82 72 67 55 26 5 0 0 0 0 0 0 0 0 0 0 7 39 75 109 145 186 228 254 217 201 182 148 113 83 51 18 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 5 20 43 58 61 54 42 32 28 28 24 13 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 9 82 382 568 638 679 723 759 756 707 666 657 675 702 720 719 709 698 685
82 83 85 86 91 105 123 134 131 124 121 115 103 87 78 81 89 94 94 87 81 79 83 93 99 104 104 97 89 85 81 80 82 89 97 98 89 72 61 58 60 66 74 84 97 105 107 112 114 115 117 118 112 99 90 84 78 72 68 65 69 72 76 76 72 56 29 7 0 0 0 0 0 0 0 0 0 0 2 18 48 84 121 161 210 247 216 202 197 164 125 84 44 13 0 0 0 0 0 0 1 3 5 3 0 0 0 0 0 7 25 47 61 62 53 40 28 22 19 15 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 0 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 17 277 464 568 644 728 803 818 789 757 740 734 731 726 712 688 663 645
78 80 81 82 85 99 123 143 148 137 128 119 108 91 77 71 74 80 82 76 73 75 82 92 99 101 98 91 87 85 84 85 88 96 102 103 93 80 75 74 76 76 73 79 91 112 110 106 105 109 115 119 116 107 104 97 88 79 73 71 72 72 75 76 73 54 28 10 2 1 0 0 0 0 0 0 0 0 0 3 25 60 101 134 183 227 227 211 213 190 147 95 45 12 0 0 0 0 0 0 0 2 3 2 0 0 0 4 6 16 31 48 59 59 49 33 21 15 13 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 225 411 514 592 695 810 881 889 857 818 781 750 731 716 696 668 648
74 75 77 78 79 92 120 148 159 149 132 120 111 96 80 70 69 71 71 68 66 69 75 84 91 91 86 88 90 92 93 93 94 98 103 102 95 88 90 91 89 82 76 79 87 102 105 98 95 100 108 116 121 123 118 107 94 81 74 73 74 74 75 71 66 44 20 7 3 3 2 1 0 0 0 0 0 0 0 2 9 39 78 114 164 217 239 230 223 209 166 102 43 10 0 0 0 0 0 0 0 0 1 1 0 1 2 4 10 18 28 41 51 50 40 25 14 10 9 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 158 330 435 523 638 772 889 949 933 891 844 783 744 731 726 716 704
69 71 73 75 76 84 111 143 160 157 139 122 113 104 88 75 70 67 63 59 58 60 64 69 75 79 82 87 94 97 91 88 87 92 97 97 91 87 92 95 90 79 75 79 83 87 95 93 88 93 105 118 130 131 119 106 95 81 78 78 75 73 74 65 52 28 14 9 8 6 4 1 0 0 0 0 0 0 0 0 2 14 46 93 142 195 230 242 240 227 193 122 48 10 0 0 0 0 0 0 0 0 0 0 1 2 4 6 14 20 24 31 36 34 25 14 6 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 58 208 321 405 523 671 820 931 945 912 895 844 788 761 758 756 753
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67 67 68 67 66 64 64 71 88 115 132 135 125 123 125 119 106 90 74 66 60 56 53 52 55 62 77 78 78 73 67 64 63 61 58 56 56 58 62 69 80 85 82 85 94 92 83 75 69 69 84 110 125 129 121 103 92 95 104 111 100 87 70 38 13 3 3 5 5 9 16 27 42 53 44 16 9 0 0 0 0 0 10 42 92 160 222 272 303 280 210 138 97 63 33 11 1 0 0 0 0 0 0 0 6 12 16 21 26 28 25 18 10 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 1 9 13 17 19 18 12 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 1 7 26 66 143 266 388 530 694 808 842 868 846 811 791 778 761
67 68 68 68 67 65 64 63 67 81 103 118 116 119 123 121 109 92 79 70 61 52 52 53 55 61 71 73 71 65 61 60 60 57 54 52 53 57 64 75 87 91 87 89 98 96 88 80 73 73 85 110 137 152 144 117 102 107 117 119 105 77 47 18 4 2 3 7 12 24 30 31 38 49 61 61 46 10 2 0 0 0 10 42 97 166 231 291 330 304 229 155 107 79 52 26 4 0 0 0 0 0 0 1 7 16 22 27 31 29 24 16 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 11 13 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 46 194 318 444 609 757 829 851 833 801 777 759 741
67 69 69 68 67 67 66 63 60 61 73 88 96 101 108 105 95 85 77 70 61 52 53 52 56 62 67 66 63 58 60 60 60 58 55 53 55 65 80 94 100 98 93 92 94 100 95 86 80 79 85 106 139 167 163 126 112 112 119 117 97 57 19 5 1 2 4 7 14 24 24 11 9 16 45 84 88 47 16 5 1 0 8 37 87 155 231 307 383 368 261 171 120 88 63 44 13 1 0 0 0 0 1 3 7 13 21 30 34 28 20 13 7 4 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 1 1 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 2 145 271 388 523 652 736 791 804 785 766 743 716
66 69 70 69 68 67 66 66 62 59 61 66 72 78 83 80 75 73 72 68 61 54 53 52 57 61 61 60 58 56 61 63 63 64 61 59 64 80 102 117 111 103 100 100 103 108 103 93 84 83 85 96 121 147 152 127 117 114 121 122 100 53 10 1 4 6 6 5 5 8 6 0 0 6 35 84 101 80 47 24 10 4 8 33 80 149 227 298 357 358 253 175 129 96 77 62 28 3 0 0 0 0 2 4 8 14 21 28 35 31 22 13 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 30 152 270 376 481 598 718 801 807 778 773 747 719
67 70 71 71 70 69 68 68 67 65 63 62 63 65 67 68 69 69 69 65 59 55 54 55 58 59 57 53 52 54 59 66 71 76 79 79 85 99 114 118 111 102 102 104 107 108 104 98 87 87 89 92 103 119 129 126 123 119 139 122 81 37 8 3 8 11 8 4 1 0 0 0 0 3 20 68 88 87 74 53 31 17 19 33 75 134 197 253 294 299 232 179 140 110 96 79 45 12 1 0 0 0 1 4 10 18 25 30 35 32 24 14 8 4 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 9 27 40 52 75 99 144 234 327 418 521 643 759 823 811 770 770 748 740
70 72 73 74 74 72 71 71 70 69 69 70 70 69 68 69 72 78 82 80 70 63 60 60 61 60 56 53 52 54 60 72 86 97 105 106 109 117 123 121 111 98 101 106 110 108 104 98 91 92 94 93 96 104 113 119 122 117 129 87 46 19 7 7 12 14 10 4 1 0 0 0 0 2 13 56 66 75 75 67 53 38 30 41 74 104 136 175 210 226 218 195 151 120 107 89 57 22 3 0 0 0 2 5 10 18 27 33 34 32 23 17 12 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 1 20 112 198 223 222 243 277 317 365 424 494 585 688 772 805 791 757 761 755 735
75 75 76 78 78 77 74 74 73 74 77 80 83 81 80 80 85 93 101 102 91 79 73 68 65 63 60 58 57 57 63 82 107 122 123 121 123 128 134 130 114 99 102 106 110 105 103 100 96 96 98 98 99 103 106 107 107 102 85 38 14 9 10 15 19 18 13 6 0 0 0 0 1 6 22 54 55 53 55 57 61 60 54 53 51 57 71 92 124 166 201 202 161 125 109 86 55 24 4 0 0 0 2 5 10 19 29 36 35 29 26 23 17 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 77 258 401 442 428 424 442 468 492 526 580 649 718 765 780 771 757 754 751 744
79 78 79 82 82 81 81 81 81 84 88 93 99 101 102 103 109 117 125 128 120 103 89 79 71 68 67 66 62 57 63 85 116 131 129 124 125 132 139 135 118 104 103 107 111 104 104 100 98 98 99 101 102 103 105 99 95 89 58 6 1 4 11 18 21 18 12 5 0 0 0 0 2 12 34 52 40 24 24 28 45 67 75 63 43 30 35 51 86 141 196 209 170 121 106 80 51 23 6 1 0 0 2 4 9 21 34 42 42 35 27 24 19 11 5 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 89 308 512 607 609 582 570 576 589 604 634 681 724 749 758 757 750 734 687 651
80 80 83 86 89 90 93 94 95 96 102 110 116 121 128 135 139 145 151 153 147 134 117 97 86 81 79 75 67 58 60 81 117 135 131 122 122 129 138 131 115 103 103 107 108 104 104 100 97 98 101 104 104 103 103 91 82 78 42 1 2 5 8 12 13 10 6 2 0 0 0 0 1 8 24 31 18 6 4 4 19 51 76 80 69 53 40 41 66 121 183 191 150 114 102 80 49 23 7 1 0 0 1 2 8 20 31 39 43 37 24 19 14 7 4 2 1 0 0 0 0 1 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 7 59 258 500 660 712 695 667 656 656 654 659 683 704 715 724 725 709 694 676 657
81 82 83 88 94 98 103 107 109 108 112 121 129 136 146 157 160 168 180 189 190 179 158 133 114 101 89 82 74 65 65 81 122 139 126 112 110 118 123 112 99 94 98 101 102 102 101 97 94 96 99 102 100 95 89 76 67 65 32 9 7 7 5 5 5 3 1 0 0 0 0 0 1 5 15 11 3 1 0 0 7 31 64 97 112 106 85 71 76 127 192 189 149 119 103 84 52 25 9 2 0 0 0 2 7 18 30 32 36 43 36 19 10 4 2 2 3 3 2 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 26 158 386 586 695 725 718 708 703 691 679 673 672 671 672 661 630 607 608 621
83 84 86 90 94 100 107 113 118 120 121 128 136 147 159 170 176 184 205 217 222 214 196 174 151 122 98 92 86 77 74 86 117 126 109 93 89 93 95 90 87 89 98 97 96 95 94 91 88 89 91 91 88 81 73 65 59 52 30 16 9 6 5 5 4 2 0 0 0 0 1 1 0 1 5 2 0 0 0 0 2 18 52 99 146 176 179 166 158 214 278 254 203 151 113 87 57 29 11 3 0 0 1 3 10 23 42 37 31 32 30 20 11 4 2 3 6 7 5 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 68 229 424 572 661 704 722 732 730 707 668 639 619 607 587 554 528 513 504
84 84 85 87 87 94 102 109 114 117 118 121 130 139 149 161 172 186 212 235 252 252 238 217 188 151 114 102 100 90 82 86 97 96 87 78 74 75 79 83 87 96 112 109 104 97 93 90 86 85 83 79 73 68 65 62 56 43 29 12 5 7 8 6 3 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 3 15 43 86 159 256 330 348 338 383 435 396 312 211 134 93 64 35 14 5 1 0 1 4 12 31 62 41 21 16 17 16 13 7 4 5 8 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 25 97 237 384 516 623 697 737 745 719 671 624 585 550 521 500 486 474 464
82 79 78 78 78 83 89 93 96 98 101 105 112 120 128 137 149 169 195 223 252 273 275 260 230 189 150 128 123 106 91 79 75 74 74 71 70 74 82 94 117 143 163 165 155 131 112 103 97 93 87 78 67 60 58 55 47 35 28 11 5 10 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 39 69 133 260 410 507 531 536 544 493 383 246 147 98 71 41 15 3 0 0 0 2 11 35 71 59 24 11 11 14 14 10 7 7 8 8 8 6 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 2 18 83 189 326 481 613 690 709 687 645 596 538 484 456 453 461 469 459
75 71 70 70 70 71 73 74 75 76 81 86 92 99 109 117 127 146 167 195 233 271 292 293 274 235 194 167 149 125 102 79 68 69 72 71 71 81 109 149 202 239 256 259 250 213 168 139 124 113 99 84 68 56 54 49 38 31 27 13 5 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 23 45 76 155 297 452 556 586 557 461 340 216 133 93 67 39 14 3 0 0 0 1 8 33 68 71 36 17 14 17 17 12 8 6 6 5 5 6 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 1 6 53 149 307 479 598 636 619 590 562 502 433 409 420 440 456 454
67 64 63 62 62 63 62 62 63 64 67 70 75 81 88 97 115 136 149 170 204 245 280 302 304 276 241 209 177 143 116 88 73 73 73 72 83 117 173 237 282 303 307 313 321 310 256 196 161 138 118 98 79 64 55 45 29 23 20 15 9 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 26 52 114 230 377 487 490 383 252 155 104 78 56 32 12 2 0 0 0 1 6 28 58 68 44 23 18 17 17 16 13 11 9 6 3 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 5 40 146 312 459 529 533 534 552 533 478 439 435 441 438 434
63 62 61 60 60 60 59 58 60 63 66 66 67 71 79 88 105 132 145 158 183 215 251 287 312 309 282 243 201 164 134 107 86 79 76 79 105 160 226 277 304 307 300 302 318 331 313 254 205 173 146 124 101 75 49 35 23 23 25 23 18 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 19 65 165 283 330 280 185 116 84 72 53 30 13 3 0 0 0 3 10 31 48 52 44 35 20 14 12 14 18 20 17 12 6 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 4 42 147 283 390 441 463 498 528 527 498 486 476 455 438
63 61 61 63 61 60 57 55 56 59 63 66 68 69 72 80 94 116 138 153 171 194 226 267 307 328 315 274 225 186 152 122 99 87 84 94 126 176 226 264 286 291 286 284 289 305 313 292 259 225 193 168 139 99 58 35 24 27 31 28 19 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 51 121 167 160 121 87 73 70 59 37 15 3 0 0 1 5 14 39 44 42 41 39 31 17 10 12 19 26 27 22 17 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 44 128 245 347 397 420 454 494 509 517 513 498 482
61 60 60 60 59 59 56 54 52 53 57 62 66 69 67 71 83 102 128 155 174 192 216 251 293 324 330 305 253 205 162 126 104 96 97 107 130 158 186 213 238 257 272 297 297 305 309 308 303 287 264 240 193 124 70 42 31 37 39 31 19 9 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 2 14 50 78 84 75 63 60 63 58 36 14 3 0 0 1 7 28 53 62 56 48 40 28 18 14 16 21 31 38 41 39 23 7 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 7 38 111 218 312 351 371 423 473 512 533 537 530
59 59 58 56 55 57 58 55 54 55 58 60 64 68 69 69 78 92 121 154 178 195 216 245 280 313 333 325 282 222 178 133 110 100 97 105 121 137 149 167 195 227 264 307 302 283 284 297 308 316 327 325 262 157 92 54 42 46 37 25 13 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 5 23 47 55 53 51 53 57 51 29 9 2 1 7 16 28 56 80 106 105 86 58 34 27 27 26 26 37 49 48 39 31 13 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 1 5 25 89 184 260 297 356 422 481 521 538 534
60 60 58 57 59 64 66 64 58 57 60 62 65 69 73 74 73 85 120 154 176 194 217 237 261 301 340 344 304 244 192 138 113 99 94 98 111 129 147 166 195 216 248 287 294 250 236 260 283 311 343 351 292 180 115 62 48 46 32 21 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 2 11 33 47 49 51 55 56 48 28 7 2 4 18 31 48 83 127 159 170 158 127 88 57 42 39 43 45 36 23 14 16 16 7 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 66 144 214 283 352 414 456 474 475
66 67 68 69 74 79 80 75 70 69 70 69 68 70 74 78 79 85 120 155 177 191 202 213 236 292 351 353 309 252 193 131 107 95 91 91 98 116 142 175 211 212 233 262 269 240 211 218 248 293 331 332 273 177 112 54 47 38 24 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 9 24 42 48 53 58 58 49 32 15 13 28 42 46 61 109 174 209 225 214 181 134 85 58 56 59 41 14 3 1 8 16 13 7 3 0 0 0 0 0 0 0 1 7 4 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 13 52 112 180 244 297 335 357 376
78 81 85 89 92 94 93 87 88 94 98 95 90 86 88 91 89 93 120 157 182 190 192 200 231 292 356 355 303 245 186 131 104 91 87 87 93 107 130 159 194 213 229 245 249 234 214 217 241 278 301 284 221 139 79 34 47 34 19 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 11 10 13 20 29 39 47 53 59 64 59 44 30 33 47 54 56 77 132 195 224 226 204 164 115 77 58 52 42 20 5 2 5 14 21 20 14 8 3 0 0 0 0 0 0 1 14 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 34 72 116 154 184 212 248
91 93 99 103 104 106 106 108 115 126 134 134 128 120 113 101 94 101 126 157 180 184 184 194 226 281 331 338 280 213 163 128 105 91 84 85 97 115 135 159 188 211 223 238 240 234 231 241 259 276 261 216 152 92 51 29 46 31 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 24 29 32 44 55 62 62 57 57 63 72 77 66 51 48 51 53 67 104 147 179 185 170 146 123 102 80 55 31 15 6 6 9 22 29 30 25 17 10 5 1 0 0 0 0 0 2 19 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 29 48 65 86 117
102 102 108 111 114 117 122 131 140 149 155 158 157 151 142 119 96 97 120 148 166 174 175 183 213 262 304 304 250 182 146 123 108 95 86 86 99 120 140 159 177 195 213 233 238 242 252 265 271 259 212 146 95 54 29 24 33 27 22 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 34 45 51 63 91 107 110 102 88 75 73 79 88 84 69 55 50 59 92 131 152 149 133 112 97 101 120 95 49 16 4 5 14 31 51 50 38 24 16 10 5 1 0 0 0 0 1 4 15 20 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 18 33
112 114 120 123 124 125 129 139 151 156 157 160 164 164 156 135 100 85 98 119 138 151 160 178 212 253 280 271 225 169 132 120 110 98 88 87 98 118 137 150 162 185 212 233 241 258 281 287 267 224 165 104 62 28 14 12 20 25 21 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 27 40 58 88 133 164 162 140 115 97 87 85 95 103 87 70 68 86 117 132 133 117 99 86 81 88 119 96 47 15 5 12 31 59 70 61 48 37 30 22 13 3 0 0 0 0 1 4 12 19 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
115 120 128 133 132 130 132 138 146 151 150 146 146 148 147 133 103 73 81 88 109 135 157 182 214 247 262 244 202 156 122 116 111 98 88 89 101 121 138 151 179 212 241 256 263 278 297 279 245 204 161 120 80 40 18 11 21 26 14 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 20 47 92 150 201 205 181 155 131 114 109 120 133 123 101 89 92 101 104 101 91 79 70 68 75 90 83 45 20 14 26 47 68 69 59 50 44 38 31 21 10 3 0 0 0 1 4 9 14 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
104 111 120 127 128 128 130 131 129 127 128 130 130 126 123 122 100 65 64 65 84 118 151 182 209 230 237 215 178 139 115 111 109 99 92 96 115 141 163 183 230 260 282 299 296 279 253 216 213 215 202 175 134 77 34 25 32 27 14 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 2 1 15 46 99 167 230 252 218 174 148 137 135 143 150 144 117 95 83 81 84 84 81 71 58 50 55 73 83 46 33 32 38 52 63 64 61 62 62 58 45 31 18 7 1 0 0 0 2 5 9 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
89 95 102 109 112 115 120 124 121 116 116 123 135 139 129 118 89 60 47 48 75 116 148 179 205 219 216 200 168 133 113 109 111 107 108 122 151 183 210 232 261 278 306 331 328 290 235 201 196 213 225 218 184 125 57 41 32 28 18 8 2 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 3 28 73 132 199 257 282 257 207 171 154 146 145 147 148 126 100 85 79 81 88 96 91 70 53 46 56 70 55 43 42 41 48 60 71 81 89 90 79 61 36 14 4 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
81 83 87 92 98 103 109 117 124 125 123 126 136 144 136 108 76 60 40 38 75 120 155 191 216 222 211 195 171 138 117 119 127 136 152 174 203 229 249 264 271 266 280 237 245 243 229 200 161 144 152 156 140 97 45 27 15 17 11 4 1 1 2 6 10 9 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 3 1 1 8 43 101 166 227 274 294 281 245 214 178 145 125 126 141 138 117 97 91 98 112 126 126 99 81 61 55 56 53 47 42 31 39 64 93 118 129 123 93 57 25 6 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
81 85 88 91 94 99 106 114 119 125 129 130 130 125 109 80 45 49 32 42 84 134 177 215 234 228 202 170 150 140 151 140 152 174 197 215 225 223 215 205 182 159 141 64 77 92 102 87 62 48 48 41 29 13 7 16 31 42 21 7 5 13 27 35 34 25 18 12 6 3 1 0 0 0 1 1 1 2 2 4 7 3 0 2 11 40 87 160 232 278 291 280 258 235 199 152 126 127 144 145 123 104 96 99 109 120 123 115 110 84 69 58 51 48 41 28 39 72 113 145 150 119 82 20 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
87 93 99 102 100 103 109 114 117 119 120 122 123 119 109 94 69 58 43 63 109 159 200 227 233 214 188 164 158 181 225 175 178 203 231 227 185 143 119 84 44 36 33 11 5 1 0 7 11 8 6 1 1 1 8 61 124 139 79 37 31 50 68 74 66 56 63 64 42 18 4 1 0 0 3 5 4 4 6 8 12 3 0 1 5 19 53 130 218 270 275 258 249 259 239 192 166 149 146 143 126 106 95 92 96 98 101 108 112 88 76 60 50 46 41 34 39 61 89 104 94 58 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
88 92 98 103 105 107 110 113 116 115 111 110 109 103 85 58 49 59 71 87 134 177 209 224 219 199 173 158 171 204 231 199 174 210 192 146 95 63 64 59 19 8 16 16 4 1 0 6 25 31 19 5 2 8 49 138 185 165 99 50 41 50 62 75 82 90 105 101 59 23 6 1 0 0 3 4 2 4 9 14 15 3 1 0 0 7 37 106 204 267 277 264 255 245 218 203 178 153 140 133 120 104 95 95 94 90 87 92 100 87 76 60 48 41 34 27 25 31 46 52 38 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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