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 10 10 9 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 6 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 9 12 17 20 18 13 9 7 7 8 9 9 9 9 8 7 6 4 3 3 3 4 4 4 5 5 6 8 10 11 10 9 7 5 5 4 4 3 3 4 3 3 2 3 4 5 6 6 6 5 6 8 9 9 9 10 12 12 9 7 8 10 11 9 7 7 9 10 10 9 8 5 2 1 2 6 8 9 8 8 8 6 4 4 4 4 3 2 4 8 13 13 12 11 8 6 5 5 6 6 7 7 6 4 2 0 1 3 4 5 5 7 9 9 8 6 6 7 9 12 13 14 14 13 11 10 8 8 nan
nan 10 10 10 10 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 10 14 18 19 17 13 9 7 7 9 11 12 11 10 8 7 5 4 3 3 4 4 4 4 5 5 7 9 10 9 7 5 4 4 4 3 3 2 3 3 3 3 3 3 4 5 6 6 7 7 8 8 9 9 9 11 12 11 9 8 10 12 13 12 10 8 8 9 8 7 7 5 3 2 3 6 7 8 8 8 8 6 4 4 3 3 2 1 2 6 10 10 9 8 7 6 6 7 7 9 10 11 9 4 2 1 3 4 5 4 3 4 6 7 7 6 5 6 8 10 11 11 10 10 9 8 6 6 nan
nan 9 10 11 11 11 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 8 12 17 19 18 15 12 9 8 9 11 11 12 11 10 9 8 6 4 4 4 4 4 4 5 5 6 7 9 10 9 7 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 7 8 8 8 8 8 9 11 11 10 9 10 12 13 13 14 12 9 8 7 6 5 5 6 5 4 5 7 8 7 7 7 7 7 5 3 2 1 1 0 1 3 6 7 6 6 6 6 7 9 10 11 13 14 11 6 3 3 4 5 4 3 2 2 4 6 6 6 6 7 8 9 9 8 7 7 6 6 5 5 nan
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nan 8 8 8 9 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 8 9 12 16 20 19 14 11 12 12 11 10 8 6 5 5 8 9 9 8 6 5 4 4 4 5 5 6 7 9 11 12 11 8 6 4 4 4 4 5 5 6 7 7 8 9 9 9 9 8 6 6 6 6 6 6 7 9 9 8 6 7 10 12 12 10 9 7 7 8 7 6 6 7 8 8 7 6 7 9 10 8 6 6 6 5 3 1 1 1 1 2 2 3 3 4 4 4 5 8 11 14 15 16 15 11 7 6 5 4 3 3 3 4 4 5 7 7 7 7 7 7 6 6 6 5 4 4 4 4 5 nan
nan 9 8 7 7 7 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 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 8 10 14 18 19 17 13 13 14 12 9 6 4 3 4 6 8 9 9 8 6 5 4 4 4 5 5 6 7 10 12 13 11 8 6 5 5 5 6 7 8 8 9 9 10 11 12 13 12 9 6 5 5 6 8 9 10 10 8 6 5 7 10 11 11 10 9 8 9 11 9 7 7 8 9 8 7 6 6 8 10 9 7 5 5 5 5 4 3 3 3 4 5 5 5 4 3 4 6 8 12 15 16 15 12 8 6 6 6 4 3 3 3 5 6 8 9 9 8 7 7 7 7 6 5 5 4 3 4 4 5 nan
nan 11 10 9 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 13 18 19 17 14 13 13 13 9 4 1 1 2 4 6 8 9 9 7 6 5 4 4 5 5 5 6 8 10 12 11 9 7 6 6 6 7 8 10 10 11 11 12 13 14 14 13 12 10 8 6 5 6 10 12 13 10 7 5 6 8 11 11 10 10 10 10 12 13 12 8 7 9 9 9 7 5 4 6 8 9 8 6 5 5 6 6 5 5 6 6 6 6 5 4 4 5 8 11 14 16 14 12 9 7 6 7 6 5 4 4 5 6 8 9 10 10 8 8 8 8 7 7 6 5 4 3 4 4 5 nan
nan 12 12 10 9 7 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 11 17 21 20 16 13 13 12 10 5 2 1 1 3 5 7 9 9 8 7 5 5 4 4 5 5 6 6 8 9 10 9 8 7 6 6 7 8 10 11 12 13 14 15 17 16 14 12 10 9 8 8 7 7 11 14 13 9 5 4 7 11 12 11 9 8 9 10 11 12 12 10 9 9 9 8 6 4 3 4 6 8 8 7 6 6 7 7 8 8 9 8 7 6 5 4 5 7 11 14 16 15 13 10 9 7 7 7 6 5 4 5 7 9 10 10 10 10 9 9 9 9 8 7 6 5 4 4 4 5 5 nan
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nan 10 12 12 10 8 5 4 4 5 7 10 12 14 16 17 17 15 12 10 9 11 12 12 10 8 6 4 3 3 4 5 5 6 6 7 8 8 9 9 11 11 12 12 12 11 8 5 4 4 3 2 3 4 6 7 7 6 5 5 4 4 4 4 6 9 11 10 8 7 10 12 10 7 4 5 9 10 8 5 5 6 8 10 11 12 12 11 12 13 14 14 13 11 10 9 10 12 13 13 10 6 2 1 4 9 11 9 6 5 7 10 14 18 20 18 15 11 10 10 12 13 13 12 11 8 6 5 7 11 14 15 13 10 10 10 11 13 14 12 9 8 9 12 12 9 6 5 5 5 5 5 5 5 4 4 7 9 9 5 -1 -4 -3 0 4 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 nan
nan 9 10 10 9 6 4 3 3 4 7 9 11 13 16 16 16 14 13 11 10 11 12 12 10 8 6 5 4 4 3 5 8 10 11 11 10 8 8 9 11 12 12 11 10 9 7 5 5 7 8 7 6 6 6 7 7 7 6 6 5 4 3 3 5 8 10 9 6 5 9 12 12 8 5 5 8 8 5 4 5 6 7 7 8 11 13 13 14 14 15 15 12 8 7 10 12 14 13 12 9 6 3 1 4 7 8 6 3 2 3 7 12 18 23 24 19 12 8 7 10 13 13 12 10 7 6 8 14 18 19 15 8 2 2 5 11 16 18 16 14 13 12 12 10 8 7 6 5 3 3 4 5 6 6 6 7 7 6 2 -1 -3 -3 0 3 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 8 nan
nan 9 10 11 10 8 5 4 3 5 7 9 11 14 15 15 14 13 12 11 11 12 12 12 10 8 7 7 7 7 6 6 7 10 13 14 13 11 9 10 12 13 12 11 9 9 8 6 7 10 12 11 10 8 7 7 7 7 7 6 5 4 3 4 6 10 12 10 6 5 8 11 11 9 6 6 7 5 4 5 7 8 7 6 6 8 11 13 14 15 17 17 15 12 12 14 14 12 10 7 6 5 4 2 3 5 7 7 5 3 2 4 8 15 23 27 23 14 7 5 7 11 14 13 11 7 6 11 18 23 23 19 11 3 -0 2 7 13 16 16 15 13 12 11 8 6 6 5 4 2 2 3 4 5 5 6 7 7 5 2 -0 -2 -2 1 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 5 5 6 7 8 nan
nan 10 12 12 12 10 7 5 5 7 9 10 12 14 15 14 12 11 10 10 11 11 11 11 9 7 6 7 8 8 8 7 7 8 11 14 15 14 12 12 13 13 12 12 11 11 10 9 9 11 13 12 11 9 8 8 7 7 8 7 6 4 5 7 9 12 12 9 7 6 8 9 9 7 6 6 6 5 5 6 8 9 8 6 4 5 7 10 13 15 17 19 19 17 15 15 13 11 9 6 5 4 2 1 2 6 9 9 8 6 4 4 6 12 20 25 22 15 8 5 6 10 14 16 14 10 8 10 15 20 22 22 18 13 8 6 7 10 13 14 13 12 11 11 9 7 6 5 4 2 1 2 3 4 4 5 6 7 6 4 2 0 0 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 7 nan
nan 11 12 12 11 9 7 6 6 8 10 11 12 13 13 12 10 9 10 11 11 11 10 9 8 7 6 6 5 5 6 7 7 8 10 12 14 15 15 14 14 13 13 13 13 12 11 9 10 12 14 13 11 10 10 11 11 10 10 9 8 6 6 8 11 12 11 9 7 7 7 7 7 6 6 5 5 4 4 5 7 9 9 7 5 3 5 7 10 13 17 19 20 18 15 12 11 10 9 7 5 2 -0 -1 2 6 9 11 10 9 8 7 8 10 14 18 17 13 8 6 6 10 15 17 16 15 12 10 9 12 16 19 21 20 16 11 9 9 10 11 12 11 11 12 12 11 8 6 5 3 1 0 1 3 4 4 6 7 7 6 4 3 2 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 2 3 4 4 4 4 4 5 5 6 7 nan
nan 11 11 10 8 6 5 6 7 10 11 12 13 12 11 10 9 9 11 13 13 12 10 7 7 7 6 5 4 3 3 5 7 9 10 12 14 17 18 18 17 16 15 15 14 11 9 9 11 13 14 13 11 11 12 14 15 15 14 12 10 7 6 8 11 13 12 10 8 8 7 7 7 7 6 6 4 2 1 2 5 9 11 11 8 4 4 5 8 11 14 18 20 20 18 15 12 10 9 8 7 5 3 1 2 4 7 9 11 12 13 14 12 9 9 10 11 9 6 4 6 11 15 17 16 15 15 12 8 6 9 14 18 18 17 13 9 7 7 8 9 11 13 15 15 14 11 8 6 4 2 1 2 3 4 5 7 8 9 8 7 6 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 6 6 5 5 6 6 7 nan
nan 11 10 9 6 4 4 7 10 12 14 15 15 14 12 10 10 11 13 15 15 13 10 8 7 7 7 5 3 3 3 5 6 8 10 12 15 18 21 21 20 18 17 16 13 10 8 9 11 12 13 13 11 11 11 12 14 15 16 15 12 9 6 7 9 11 12 11 10 9 9 10 10 9 8 6 4 2 1 3 7 11 13 14 11 7 5 5 7 9 12 15 18 20 20 18 15 12 10 10 10 11 10 7 3 2 3 6 11 16 19 19 16 9 5 5 6 6 5 3 4 8 12 13 14 15 15 13 9 6 7 11 13 14 13 11 9 7 7 7 8 10 14 17 17 16 13 11 8 6 5 3 3 4 4 6 8 10 11 11 10 9 8 6 5 4 4 3 3 2 2 2 2 2 2 3 3 3 3 4 5 6 7 7 7 7 7 7 7 8 nan
nan 10 9 8 6 5 6 9 13 16 17 18 17 16 13 12 12 13 14 14 13 12 10 9 8 8 8 6 4 4 5 6 6 7 9 11 14 17 20 22 21 20 19 18 15 12 8 8 9 10 10 10 9 8 8 8 9 12 13 14 13 11 9 7 7 9 10 11 10 10 10 10 10 9 7 6 5 5 6 8 11 13 14 15 13 10 8 6 7 9 11 14 16 18 18 17 16 13 11 10 11 13 13 10 5 2 3 7 13 19 22 20 15 8 4 4 4 5 5 4 3 5 7 8 10 12 13 12 9 7 7 9 10 10 10 9 7 6 6 7 8 10 12 15 17 17 16 13 10 8 7 6 5 4 4 6 7 10 11 12 11 10 9 8 6 5 4 4 4 3 3 3 3 3 3 3 3 4 5 6 7 7 8 8 8 8 8 9 8 8 nan
nan 9 9 8 7 8 9 11 14 17 18 18 17 15 14 14 14 14 13 11 10 9 9 9 9 9 9 7 6 6 7 7 6 6 8 10 13 15 18 21 22 21 19 19 19 17 13 10 9 8 8 7 7 5 5 5 5 7 9 11 12 12 11 9 7 7 8 9 10 9 9 8 8 7 6 6 7 9 10 10 10 11 12 13 13 12 10 8 8 10 12 13 14 14 14 14 14 13 10 9 8 9 11 9 5 3 4 9 16 20 20 16 11 7 6 6 6 6 5 5 3 4 5 6 7 8 8 9 9 8 8 8 9 10 10 8 6 4 3 3 5 8 11 14 17 18 17 15 11 9 8 7 5 5 5 6 8 9 10 11 11 11 10 9 7 6 6 5 5 5 4 4 3 3 3 3 4 5 6 7 8 8 8 8 8 8 9 10 10 10 nan
nan 9 9 9 8 8 10 11 13 15 17 17 16 15 14 14 13 11 10 8 7 8 8 9 9 8 8 7 7 7 7 8 8 9 10 11 13 14 17 19 20 19 18 17 18 20 19 16 12 10 9 9 8 7 6 5 5 5 6 6 8 9 10 9 8 8 8 9 10 10 10 9 7 6 5 6 7 8 8 6 4 4 6 9 12 13 12 10 10 12 13 12 11 10 10 11 12 12 9 6 5 5 7 7 5 3 6 10 15 16 15 10 7 7 9 10 10 8 6 5 3 2 3 5 5 6 6 6 7 8 10 11 12 13 12 10 7 4 2 1 2 6 11 16 19 20 19 17 13 11 9 7 6 5 6 7 9 10 10 10 11 11 10 9 7 7 6 6 6 6 5 5 4 3 3 4 5 6 7 8 8 8 8 8 8 9 10 11 12 12 nan
nan 9 9 8 7 7 9 11 12 14 16 17 16 14 13 11 9 8 8 8 8 9 8 8 7 6 5 4 4 5 7 10 12 14 14 13 12 13 15 16 17 16 14 13 14 17 20 20 17 15 13 12 12 12 11 9 8 7 6 6 6 6 7 8 8 8 8 8 10 11 12 11 10 8 6 6 6 5 3 0 -2 -2 1 6 11 14 14 14 14 14 14 12 9 7 7 9 10 12 11 8 6 6 7 7 6 5 7 9 11 9 6 4 4 6 9 10 10 8 7 5 3 2 3 4 5 5 5 5 6 9 13 16 17 17 17 15 12 9 5 2 2 5 10 14 18 19 19 17 15 13 11 9 7 5 6 7 8 10 10 11 12 11 9 8 7 7 7 7 6 6 5 5 4 3 4 4 6 7 7 7 7 7 7 8 8 9 11 12 13 14 nan
nan 7 6 6 6 6 8 11 13 14 17 18 16 14 10 8 7 7 8 10 11 10 8 6 5 3 3 3 4 6 9 13 15 16 14 12 11 11 13 14 15 14 12 10 10 12 16 19 19 18 16 14 13 13 13 12 11 10 9 8 7 6 6 7 8 7 7 8 9 10 11 11 10 9 8 6 5 4 3 0 -1 -2 0 5 10 14 17 18 19 17 15 11 8 6 6 7 10 13 14 12 10 9 9 9 9 8 8 7 5 2 -0 -1 1 3 5 7 7 7 6 6 5 4 4 4 4 4 4 4 5 9 14 18 20 20 19 19 17 14 10 6 4 5 7 10 13 14 14 14 13 13 12 10 8 6 5 5 7 9 11 12 12 10 9 7 7 7 7 7 6 6 5 4 4 4 4 5 6 7 7 7 7 7 7 8 9 10 11 12 13 14 nan
nan 6 5 5 6 7 8 10 13 15 16 16 14 11 8 6 6 7 10 12 11 9 6 4 3 3 4 6 9 12 14 15 15 14 12 10 10 11 12 13 13 12 11 9 9 10 12 15 17 16 15 13 12 12 12 12 12 11 10 9 8 8 8 8 9 8 8 8 8 8 9 8 8 8 7 6 5 5 5 5 4 4 4 6 9 14 17 20 20 18 15 11 8 6 5 6 9 13 15 15 12 11 11 11 10 9 6 3 0 -1 -0 1 2 4 5 6 7 8 9 10 9 8 6 5 4 4 4 4 6 9 13 16 18 19 19 18 17 16 13 9 7 6 6 7 8 8 8 9 11 11 10 9 8 7 5 5 8 11 13 13 12 11 9 7 7 7 7 6 6 6 6 5 5 5 5 6 7 7 7 7 7 8 8 9 10 11 12 13 14 14 nan
nan 6 7 7 8 9 10 11 13 15 16 14 10 8 6 6 6 8 10 11 9 6 4 4 6 8 11 14 16 16 16 15 13 11 10 10 11 12 13 13 12 11 10 10 10 11 12 12 12 13 12 12 12 11 10 11 11 10 9 8 8 8 9 10 10 9 9 9 9 9 9 8 7 7 5 4 4 4 6 7 8 8 7 8 10 13 16 18 18 16 14 11 9 7 6 5 7 10 14 16 14 12 12 11 9 6 4 1 1 3 6 8 9 9 10 11 12 13 14 15 14 12 9 7 5 4 4 6 8 9 11 13 15 16 17 16 16 16 14 12 9 8 8 8 7 6 6 7 8 9 8 8 8 7 6 7 11 14 15 15 13 11 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 12 12 13 14 14 14 14 nan
nan 7 9 10 11 12 12 13 15 16 15 12 8 6 5 5 6 7 8 7 5 4 4 7 11 15 16 16 16 15 14 13 11 9 9 10 11 12 12 12 11 11 10 10 11 12 12 11 10 10 11 13 13 12 10 9 9 9 9 8 8 8 8 9 9 8 9 9 10 11 11 9 7 6 5 4 4 5 6 8 9 10 10 11 12 14 16 16 14 13 12 11 10 8 6 5 4 6 10 14 14 14 13 10 6 3 1 1 4 9 12 13 13 14 15 15 15 16 16 16 15 14 11 8 6 5 6 8 10 10 10 10 10 11 13 14 15 15 14 12 11 10 11 11 10 9 9 9 9 9 8 8 8 7 7 8 12 14 15 14 13 12 10 9 8 8 7 7 7 8 8 9 9 10 10 10 9 9 9 10 11 12 13 14 15 15 15 15 15 14 nan
nan 8 10 12 13 13 13 14 14 14 13 11 9 7 6 5 5 5 5 4 2 2 5 9 14 16 16 14 13 14 13 12 11 9 9 9 10 11 11 10 10 10 11 11 11 11 11 10 10 10 11 13 15 14 12 10 9 9 10 10 10 10 9 8 7 6 7 7 8 9 10 8 7 6 6 5 5 5 6 8 9 11 12 13 15 15 15 14 12 11 11 10 9 8 7 6 4 3 4 8 11 12 11 8 3 0 -1 0 4 9 11 11 12 13 15 15 15 14 13 12 12 11 10 9 8 8 9 10 12 12 10 9 7 7 9 10 12 12 12 11 11 11 11 12 10 10 11 12 12 11 10 9 8 7 6 8 10 12 13 14 13 11 9 8 8 8 8 8 8 9 10 11 13 13 13 12 11 11 11 11 13 14 15 16 16 16 16 15 15 14 nan
nan 10 10 11 12 12 12 12 12 12 11 11 11 10 9 7 5 5 4 3 1 1 4 8 12 13 13 12 12 13 14 13 11 9 8 8 8 8 8 8 9 11 12 12 12 10 9 8 8 9 11 13 14 15 14 13 12 11 12 12 12 12 12 11 9 7 6 6 5 6 7 8 7 6 5 4 4 4 5 7 9 11 13 14 15 16 15 13 11 10 10 10 9 9 9 8 6 3 1 3 6 8 7 4 0 -2 -3 -2 0 3 5 7 8 10 12 12 11 10 8 8 8 9 9 9 8 9 10 12 13 13 13 11 9 8 7 8 9 9 10 10 10 10 11 10 8 8 10 12 13 13 11 9 7 5 4 5 7 9 11 12 11 9 7 7 8 8 9 9 10 12 13 14 16 17 16 15 14 13 12 13 14 15 16 16 16 16 16 15 15 14 nan
nan 12 12 11 11 10 10 10 11 12 13 14 15 14 13 10 7 6 5 4 4 3 4 7 9 10 10 10 11 12 12 12 11 10 9 9 8 7 7 7 8 10 12 13 12 10 8 7 7 9 10 12 13 14 14 14 13 13 13 13 13 13 13 13 13 11 9 7 5 4 6 8 9 7 6 4 4 4 5 7 10 11 13 14 15 15 14 13 12 11 11 11 11 12 13 13 10 6 4 6 8 8 6 3 -1 -2 -3 -2 -0 1 2 3 5 7 9 9 7 5 3 3 4 7 8 8 8 9 10 12 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 9 7 6 8 10 11 12 11 9 6 4 3 3 4 5 7 8 8 7 8 9 10 10 11 12 12 14 15 17 18 19 19 18 17 16 15 15 15 15 15 15 15 15 15 15 15 14 nan
nan 13 12 12 11 11 10 11 12 14 15 17 18 18 16 14 11 8 7 6 6 6 5 6 7 8 8 8 8 9 9 9 9 10 11 12 12 10 7 7 8 10 13 15 14 12 9 8 8 8 10 11 13 13 13 13 12 12 12 12 11 10 10 12 15 15 14 11 8 5 5 7 9 9 8 6 5 6 7 9 11 12 12 12 13 14 14 14 13 13 14 15 16 17 18 18 16 14 14 14 14 11 8 6 4 3 3 4 6 7 6 5 5 6 8 6 2 -1 -2 -2 1 4 6 7 8 9 11 12 12 12 11 11 11 11 11 12 12 11 11 10 10 10 10 8 6 5 6 9 12 12 11 8 5 4 4 4 4 4 5 6 8 9 11 13 13 14 14 14 14 15 16 17 18 19 20 19 18 17 16 16 16 15 14 14 14 13 14 14 15 14 nan
nan 11 11 11 12 12 12 13 14 15 17 18 19 18 17 15 13 12 10 9 8 7 6 5 5 5 5 6 6 7 7 7 7 9 11 14 15 13 10 8 8 10 13 16 15 13 12 10 9 8 9 11 13 14 13 12 11 11 10 9 8 7 7 8 11 15 17 17 14 10 6 6 7 9 9 8 7 7 7 9 10 11 10 10 11 13 15 15 15 16 18 19 20 20 19 18 17 18 19 18 16 13 12 11 11 12 13 14 15 15 14 12 11 11 10 6 0 -3 -4 -3 -1 2 5 7 9 10 10 10 11 11 10 10 10 11 12 13 13 13 12 10 10 10 9 7 4 4 6 10 12 12 10 6 4 3 4 5 5 6 6 8 10 12 14 15 15 15 15 15 14 14 15 16 17 18 18 18 17 16 16 16 15 15 15 14 13 12 12 13 13 13 nan
nan 10 9 10 11 12 13 14 14 16 17 16 15 14 13 13 14 14 14 12 10 7 5 3 2 3 3 5 7 8 7 7 6 7 9 13 15 14 11 9 8 10 13 15 16 14 12 11 10 8 8 10 13 14 14 12 11 10 9 8 7 5 5 5 7 12 16 18 18 14 10 8 7 7 8 8 6 6 6 7 8 9 9 10 11 13 15 16 18 19 21 22 19 16 12 10 11 13 14 14 14 14 15 16 17 19 20 20 20 20 21 21 19 16 12 8 3 0 0 1 3 5 8 10 10 9 9 9 9 9 10 10 11 11 12 13 13 12 10 9 9 9 9 7 5 5 6 8 10 9 8 5 3 2 2 3 5 6 7 9 10 12 13 14 15 15 15 15 14 14 14 14 14 15 15 15 14 14 14 14 14 14 14 13 12 10 9 10 10 11 nan
nan 9 9 9 10 10 12 13 14 14 14 12 11 10 10 10 12 14 14 12 11 8 4 2 1 1 3 4 6 8 7 6 6 6 7 10 13 13 12 10 8 8 11 14 15 13 11 10 10 10 9 10 12 13 12 11 9 8 8 7 6 5 4 4 6 9 13 16 18 17 14 11 9 8 6 5 4 3 4 5 7 8 9 11 13 14 16 17 19 21 22 20 14 8 4 4 7 10 11 11 11 13 15 17 18 21 22 22 22 21 21 20 18 13 10 7 6 5 6 7 7 8 9 10 9 9 8 7 7 8 9 10 11 12 12 12 12 11 10 10 10 10 10 8 6 5 5 5 7 8 8 7 6 5 4 3 3 4 6 8 9 10 11 13 14 15 15 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 9 nan
nan 9 9 9 8 7 8 9 10 11 11 10 9 8 9 10 10 10 10 11 12 11 7 4 3 4 5 5 5 6 6 5 5 6 7 9 12 12 11 10 8 8 9 12 14 13 10 9 10 11 13 13 13 11 9 8 6 6 6 6 5 5 5 5 6 8 10 13 15 15 15 13 11 9 6 4 2 2 3 5 7 9 11 13 15 15 16 17 18 19 18 14 8 3 1 5 11 13 12 11 10 11 12 14 15 17 19 19 19 18 16 14 11 9 7 7 7 9 9 10 10 10 9 9 8 7 7 6 7 7 8 9 10 11 12 12 13 13 13 14 13 11 10 8 5 3 3 3 6 10 12 12 12 10 7 5 3 4 5 7 8 9 10 11 12 14 14 14 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 9 8 6 5 5 6 7 8 9 9 8 8 8 8 8 7 8 11 14 15 11 7 6 8 9 7 5 4 4 4 5 6 8 9 10 10 10 10 9 9 10 13 14 13 10 8 9 12 15 17 15 12 9 7 6 6 6 6 6 5 4 5 6 7 8 10 11 13 13 13 11 9 7 5 3 3 5 7 10 12 14 15 16 16 16 16 15 14 11 8 4 3 5 11 16 17 14 11 9 8 7 8 9 12 13 13 13 12 10 10 10 9 9 10 10 12 12 13 12 11 9 7 7 6 6 6 6 7 8 9 10 11 12 13 13 14 15 15 14 12 10 8 4 1 1 4 7 12 15 15 15 13 9 6 4 4 5 6 7 8 8 9 10 11 12 12 12 12 12 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 nan
nan 8 7 8 8 8 7 6 5 6 7 8 8 7 7 7 8 9 10 13 16 16 13 10 10 12 12 10 6 5 5 5 6 7 8 7 7 7 8 9 10 11 12 14 16 14 12 9 8 10 13 16 16 15 12 10 8 8 8 7 5 4 4 4 5 5 7 8 10 11 11 10 9 8 7 6 6 6 7 10 12 14 15 16 17 17 16 14 12 10 7 5 4 6 10 14 16 16 14 11 9 7 4 4 5 7 9 9 9 8 8 10 12 13 13 13 13 14 14 14 13 11 9 8 7 7 7 7 7 7 8 9 10 11 12 12 13 13 13 14 14 13 11 8 4 1 3 6 8 11 13 14 13 12 9 6 4 4 5 6 7 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 10 nan
nan 9 10 13 15 13 10 8 6 7 7 8 8 8 8 9 10 11 11 12 14 14 13 12 12 13 13 11 9 7 7 6 7 7 7 5 3 3 4 7 9 11 13 15 17 17 14 11 8 7 8 11 13 14 14 13 11 10 8 6 5 5 5 4 4 4 5 7 9 9 8 7 7 6 6 7 7 7 8 10 11 13 14 15 16 16 15 13 12 10 9 7 7 8 11 14 16 16 14 12 10 7 4 3 4 6 8 8 7 7 8 11 13 14 15 14 14 14 13 13 12 11 10 9 9 8 8 7 7 7 7 8 9 10 11 12 12 11 11 13 14 13 12 9 6 4 5 7 7 8 9 10 11 11 9 6 4 4 5 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 9 nan
nan 13 16 19 19 15 10 9 10 12 12 10 10 10 11 11 12 13 12 10 10 12 13 13 12 12 11 11 10 9 8 7 6 6 5 3 1 1 3 6 8 10 12 14 17 18 17 14 10 6 4 5 8 11 14 15 13 12 10 8 8 8 7 6 4 2 3 5 7 7 7 5 5 5 5 6 6 6 7 8 9 10 11 11 11 11 11 12 12 13 12 11 9 8 9 13 16 17 16 14 12 9 6 5 6 6 8 8 7 7 8 10 12 13 14 14 13 13 12 11 10 10 9 9 9 9 9 8 8 7 7 8 9 9 10 11 11 11 11 13 14 14 13 11 9 7 6 6 6 6 8 10 11 10 7 5 4 4 5 7 8 8 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 8 nan
nan 15 18 19 17 13 11 11 14 16 15 12 11 12 13 13 13 13 11 9 8 9 10 11 11 9 10 11 11 10 8 6 6 5 4 3 3 5 7 10 11 10 10 11 14 17 18 16 13 8 4 3 5 9 13 15 15 14 12 12 12 12 9 6 4 1 1 3 5 6 6 5 5 5 6 6 6 6 7 8 8 8 8 7 6 6 7 9 11 13 13 12 10 7 7 10 14 17 17 15 12 8 5 5 6 7 8 8 8 7 8 9 10 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 13 14 14 13 11 9 7 6 6 6 8 10 11 10 8 7 6 6 6 6 6 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 13 14 14 13 13 13 14 16 16 14 12 12 13 14 14 13 12 10 7 6 6 8 10 10 9 9 9 10 9 8 6 5 4 3 4 6 11 15 16 15 10 7 7 10 14 17 17 15 11 7 4 5 8 12 15 16 15 14 14 14 13 11 8 5 2 0 2 4 6 6 6 6 7 7 7 7 7 7 8 8 7 6 5 3 3 3 5 8 10 12 12 10 7 6 8 12 15 16 15 11 7 4 4 6 8 9 9 8 8 7 8 8 9 10 10 11 11 10 10 9 9 8 8 8 8 9 10 9 9 9 9 9 8 8 9 10 12 13 13 14 14 12 10 8 6 6 7 8 9 9 9 8 7 8 9 10 10 9 7 6 6 7 7 7 8 9 10 12 13 13 13 12 12 12 12 11 10 8 8 9 9 8 8 7 7 7 7 6 6 nan
nan 8 9 10 11 12 14 14 13 12 10 11 12 13 14 13 11 10 8 7 5 5 7 10 12 11 8 9 10 10 9 7 5 4 3 4 8 13 18 19 17 11 5 3 6 10 14 17 17 14 9 7 6 8 11 14 15 16 15 15 15 14 12 10 7 5 3 3 6 7 7 7 7 8 8 8 8 8 7 7 6 6 5 4 3 2 1 2 5 7 10 11 10 8 6 7 11 15 16 15 11 7 5 5 6 8 9 9 8 7 6 7 7 8 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 7 7 8 10 12 13 14 14 12 9 7 6 6 8 9 10 9 8 7 7 10 12 14 15 13 11 8 6 6 6 7 8 8 10 12 13 13 12 12 12 12 12 12 10 9 9 9 9 9 9 8 8 7 7 7 6 nan
nan 7 7 8 9 10 11 10 9 7 7 9 11 12 12 11 10 8 7 6 5 5 7 9 12 11 8 9 10 11 11 9 7 5 4 4 7 11 16 19 17 13 7 3 3 7 11 14 15 13 9 7 6 8 10 13 15 15 15 16 15 15 14 13 11 9 8 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 4 4 3 3 2 2 3 5 7 8 9 9 8 9 11 14 16 16 13 9 7 5 7 8 9 9 7 5 5 5 6 7 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 9 8 7 6 5 6 8 10 11 12 11 9 8 7 8 10 11 11 10 9 8 9 11 13 15 15 15 13 11 8 6 6 7 7 8 9 10 10 10 10 10 11 12 12 12 11 10 9 9 9 9 9 8 8 8 7 7 7 nan
nan 11 10 9 9 9 9 7 6 6 6 7 9 10 10 10 9 8 7 6 5 4 5 7 10 11 9 9 10 11 12 11 8 6 4 4 5 8 12 16 19 17 12 7 4 5 8 10 11 9 6 5 5 7 9 11 13 14 14 15 15 15 15 15 14 13 13 11 10 9 9 9 9 9 9 8 7 6 6 5 5 5 4 5 5 5 5 5 4 4 4 6 7 8 9 9 10 12 14 15 14 11 8 7 7 8 9 9 7 4 3 4 5 7 7 8 8 7 7 8 9 9 9 9 8 8 8 7 7 7 7 8 9 8 7 5 4 2 2 3 4 6 7 9 9 10 11 12 12 11 10 8 8 9 11 12 12 12 12 13 12 10 8 7 7 7 8 8 8 7 7 7 8 10 11 12 13 13 12 10 9 9 8 8 8 8 8 8 7 7 nan
nan 18 15 11 10 9 9 7 6 5 7 7 8 9 10 11 10 9 8 6 5 4 5 6 8 10 10 9 9 9 9 9 7 5 4 3 4 6 9 14 18 20 18 13 10 7 7 7 7 6 4 3 4 5 7 9 11 12 13 13 13 13 14 15 15 15 15 14 12 11 10 11 11 12 11 10 8 8 7 8 7 7 6 6 7 8 9 8 6 4 3 4 5 7 8 8 9 10 11 13 13 11 9 7 7 7 8 9 8 6 4 3 4 6 7 8 8 7 6 5 6 6 6 7 8 8 8 7 6 6 6 7 8 8 7 6 4 1 -1 -1 -0 2 4 7 9 10 11 12 11 10 8 7 8 9 9 9 8 8 8 10 11 11 9 8 7 8 9 9 7 6 5 5 5 7 9 10 12 13 13 12 10 10 9 9 8 8 8 7 7 7 nan
nan 20 17 13 11 11 10 8 6 6 8 9 10 10 11 12 12 11 9 7 6 6 6 8 9 11 10 9 8 7 7 7 5 4 3 3 3 4 6 9 13 18 20 19 16 13 10 7 6 5 3 3 4 5 6 7 8 9 10 10 9 10 11 12 13 14 15 14 13 12 12 12 13 14 13 12 11 11 12 12 12 11 9 9 11 13 13 11 9 5 3 3 5 6 7 8 8 9 9 11 13 11 9 7 6 5 5 6 8 8 6 4 4 4 6 8 8 7 5 4 3 2 2 4 6 8 9 8 7 7 7 8 8 8 7 7 6 4 3 1 2 3 5 6 7 8 9 10 10 9 8 8 9 9 8 6 5 4 6 7 9 10 9 8 7 8 8 8 8 7 5 5 4 5 6 7 9 10 11 11 11 11 10 10 9 8 8 8 7 7 nan
nan 17 16 14 13 13 12 9 7 7 10 12 12 11 11 12 12 11 10 8 8 9 10 11 11 12 11 10 9 8 8 7 7 5 5 4 3 2 2 2 6 11 16 19 19 18 15 11 8 6 5 4 5 5 5 5 5 7 7 6 5 4 5 7 10 12 13 13 13 13 13 13 14 15 15 14 14 15 15 16 15 14 13 13 15 16 17 16 13 10 7 6 5 5 6 7 9 10 11 13 14 13 10 8 6 3 3 5 7 9 8 6 4 3 5 8 9 8 7 4 3 1 1 3 6 9 10 10 10 9 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 9 10 11 10 10 10 10 9 6 5 5 6 8 9 9 9 7 6 7 7 7 8 8 7 7 6 5 5 6 6 7 7 8 10 11 11 10 10 9 9 9 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
42 39 36 34 31 26 22 15 11 9 9 8 8 9 8 7 7 7 8 8 9 9 9 8 8 7 7 7 6 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 1 0 0 0 0 0 0 1 4 21 100 368 940 1641 2034 2060 2028 2403 2713 3138 3232 3235 3183 3232 3470 3771 3734 2972 1915 1285 1039 1012 1092 1203 1294 1352 1403 1484 1483 1403 1276 1124 962 844 806 796 698 634 702 790 879 930 877 754 668 624 459 288 304 516 803 952 974 1100 1428 1761 1506 1375 1722 1811 1505 1309 1502 1842 2141 2215 1864 1382 1104 1033 1021 960 816 595 418 422 530 373 144 52 31 13 5 3 2 1 0 20 200 478 672 715 700 746 845 937 1061 1070 1073 1059 1042 1032 1013 974 937 896 868 842 809 779 762 756 749 729 692
46 48 45 40 32 26 21 17 16 12 10 9 8 8 8 8 8 8 9 8 8 8 8 7 7 7 6 5 6 6 6 6 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 5 4 4 4 4 3 3 3 3 3 2 1 0 0 0 0 0 1 7 27 72 183 606 1619 2432 2374 2111 2249 2685 2990 3393 3367 3331 3182 3176 3391 3613 3402 2543 1561 1085 975 992 1069 1156 1220 1269 1321 1380 1428 1392 1283 1135 991 888 862 850 731 589 554 660 781 803 732 652 604 527 346 230 317 591 935 1114 1142 1237 1490 1664 1379 1254 1640 1920 2003 2103 2248 2378 2500 2560 2314 1795 1397 1141 952 744 551 436 406 459 587 524 266 116 58 29 13 5 2 1 0 50 288 601 762 767 759 836 952 1042 1174 1180 1152 1140 1139 1124 1083 1032 983 930 888 858 838 821 804 787 768 740 704
47 50 47 41 34 27 21 18 17 11 9 8 8 8 8 9 8 8 8 7 7 8 8 7 6 6 5 4 5 5 5 5 6 6 6 7 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 4 4 4 5 5 4 4 4 3 3 3 3 3 3 2 1 0 0 0 0 6 15 30 69 172 456 1153 2414 2759 2222 2101 2459 2870 3192 3506 3478 3439 3192 3120 3377 3585 3266 2405 1515 1096 1010 1024 1073 1121 1157 1206 1247 1266 1293 1253 1166 1059 988 928 909 890 788 632 568 659 730 685 606 547 480 370 252 252 372 657 1028 1265 1252 1285 1409 1413 1227 1152 1479 1804 2181 2578 2779 2779 2760 2798 2638 2120 1597 1151 812 564 445 459 529 594 699 723 450 203 87 44 22 7 1 0 2 52 293 634 794 809 826 906 1008 1084 1206 1201 1184 1187 1194 1173 1123 1065 1012 959 918 898 884 865 843 819 793 759 722
46 47 46 41 36 30 24 20 17 15 10 9 8 9 8 8 8 7 8 8 7 7 8 7 6 6 6 4 5 5 5 5 6 6 6 7 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 4 4 4 5 4 4 4 4 3 3 3 3 3 3 2 1 0 0 1 4 32 70 100 151 313 785 1692 2750 2814 2121 2215 2607 3016 3345 3536 3555 3543 3228 3152 3514 3734 3349 2483 1637 1195 1104 1088 1094 1123 1154 1206 1236 1223 1198 1172 1129 1059 1040 994 952 907 809 684 643 713 733 619 516 443 322 213 200 301 466 684 1104 1402 1322 1225 1196 1139 1040 1008 1265 1563 2014 2530 2788 2798 2795 2810 2579 1965 1365 897 595 538 603 692 749 781 839 940 737 407 213 127 76 36 13 6 12 61 270 578 717 742 811 934 1030 1087 1162 1218 1229 1237 1229 1198 1150 1102 1060 1019 979 954 931 902 872 845 816 779 744
43 43 42 41 37 32 27 21 18 16 12 12 10 9 8 9 9 8 8 9 9 10 9 8 8 7 6 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 2 0 0 2 15 48 100 140 129 83 154 668 1765 2766 2674 1993 2223 2605 3087 3407 3548 3658 3685 3401 3408 3837 3978 3454 2534 1737 1315 1181 1117 1080 1086 1101 1133 1155 1130 1094 1089 1089 1062 1067 1028 974 905 791 686 668 713 682 559 457 367 201 111 161 314 486 633 1026 1374 1291 1103 1010 977 931 915 1068 1371 1835 2363 2671 2731 2778 2805 2477 1656 941 568 464 600 791 909 899 866 957 1097 1084 824 540 334 201 117 65 43 60 133 275 480 598 639 771 923 999 1051 1114 1184 1245 1284 1274 1231 1181 1141 1116 1097 1066 1024 974 927 889 860 828 794 767
41 39 37 36 34 31 27 22 19 17 14 12 11 10 8 9 9 8 8 8 9 11 10 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 1 0 2 25 73 128 163 154 107 63 87 535 1709 2801 2811 2126 2233 2617 3089 3402 3562 3731 3773 3633 3692 4065 4096 3399 2467 1773 1382 1182 1058 979 950 956 962 982 983 989 1017 1043 1043 1048 1014 972 901 776 679 670 690 636 537 459 381 155 68 111 238 392 574 950 1361 1359 1119 892 802 815 881 1043 1386 1846 2261 2585 2678 2669 2756 2546 1745 853 493 488 752 1051 1220 1185 1097 1118 1224 1284 1161 879 579 347 209 143 133 179 257 300 398 521 620 780 903 953 986 1029 1094 1187 1290 1321 1281 1220 1175 1152 1131 1089 1037 982 935 891 859 831 804 782
40 39 35 30 26 23 20 19 16 14 11 10 10 10 10 10 8 8 8 9 9 10 9 9 9 10 9 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 4 4 5 5 4 4 5 4 3 3 3 3 3 2 1 0 0 24 87 151 178 154 96 45 28 73 520 1733 2996 3045 2309 2170 2546 2946 3334 3549 3754 3855 3842 3857 3966 3804 3007 2120 1562 1219 994 845 759 731 750 772 824 881 943 1008 1041 1027 999 962 930 904 804 697 674 675 619 529 454 387 147 77 85 162 320 624 1114 1614 1611 1202 864 735 753 893 1171 1546 1873 2106 2612 2827 2670 2628 2516 1996 1237 778 658 888 1253 1484 1450 1316 1257 1290 1300 1172 905 645 376 233 191 229 312 368 353 419 563 671 759 843 909 937 944 989 1110 1264 1334 1307 1249 1193 1158 1136 1099 1048 985 940 893 855 828 810 799
40 43 38 30 23 18 15 14 11 10 8 8 10 10 10 10 9 9 9 10 10 9 8 9 10 10 8 7 7 7 6 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 1 1 12 89 184 212 175 104 35 0 11 91 530 1838 3300 3318 2528 2162 2427 2780 3222 3511 3742 3878 3962 4011 3883 3383 2530 1703 1222 915 711 597 555 573 636 698 773 862 945 1018 1036 989 919 870 854 858 811 720 692 697 648 533 402 280 157 102 91 158 392 885 1509 1909 1770 1243 861 725 774 1014 1388 1736 1891 1980 2654 2974 2720 2574 2437 2071 1535 1111 937 960 1128 1249 1212 1114 1071 1085 1046 865 628 466 305 233 234 299 373 402 415 531 671 723 732 775 846 889 890 904 1002 1167 1267 1267 1244 1194 1150 1123 1089 1036 965 922 877 844 824 813 814
37 44 44 36 26 20 16 14 12 12 8 8 10 11 11 12 12 12 16 15 14 15 12 9 10 10 8 8 7 5 5 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 1 0 14 75 221 340 314 202 89 21 0 16 141 635 2031 3572 3605 2828 2338 2377 2650 3071 3430 3695 3849 3954 3978 3756 3204 2406 1628 1075 768 602 548 564 617 673 714 772 851 913 962 970 912 822 769 769 793 797 753 746 824 805 656 448 270 196 114 93 171 534 1193 1798 1983 1693 1248 1023 965 1034 1285 1576 1788 1828 1809 2188 2665 2657 2470 2262 1984 1611 1239 985 857 846 892 898 893 896 844 682 488 398 342 294 301 325 366 386 395 439 525 632 705 721 756 825 876 872 856 909 1041 1165 1192 1211 1180 1139 1109 1077 1031 971 918 864 827 808 807 821
31 40 43 39 31 24 20 17 15 13 13 12 13 13 14 16 20 25 29 30 25 21 16 12 11 9 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 1 0 0 51 204 405 490 436 266 96 19 1 25 210 885 2337 3843 3774 3145 2659 2437 2566 2928 3271 3584 3763 3868 3911 3744 3255 2490 1698 1110 790 663 657 687 701 683 687 735 779 798 820 850 850 802 757 752 784 824 829 868 1126 1184 1000 634 324 249 141 102 198 665 1348 1768 1825 1738 1649 1504 1429 1478 1589 1675 1770 1748 1644 1731 2101 2427 2226 2041 1846 1555 1206 909 746 736 811 890 905 811 647 479 370 347 410 436 442 415 408 394 420 463 452 492 592 613 633 715 797 830 825 846 945 1072 1118 1163 1155 1128 1099 1064 1019 968 915 853 812 801 811 832
26 32 35 35 32 27 23 20 17 15 13 11 12 12 11 12 18 23 25 24 22 19 13 11 11 10 9 7 7 6 5 4 4 3 3 3 4 3 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 3 3 3 3 2 0 0 0 79 235 407 485 414 227 50 7 10 75 368 1221 2615 3786 3817 3402 2913 2523 2520 2763 3064 3387 3623 3817 3948 3752 3188 2390 1633 1118 860 761 755 719 641 592 617 663 667 646 655 709 812 893 890 856 859 893 898 920 1367 1422 1197 755 424 319 198 147 227 714 1332 1655 1682 1704 1887 1986 1923 1849 1821 1800 1911 1889 1786 1794 1887 2048 1968 1906 1716 1396 1058 804 684 697 804 909 871 689 525 409 317 304 422 475 484 409 390 377 417 448 405 380 427 447 436 455 507 595 696 793 896 1008 1044 1089 1108 1103 1079 1040 993 942 895 847 816 809 818 841
23 23 25 27 27 25 23 19 16 13 11 9 8 9 10 10 13 13 12 12 12 11 10 10 10 9 7 7 7 6 5 4 4 3 3 3 3 4 5 6 6 6 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 1 0 0 0 41 93 193 256 208 90 8 0 28 245 862 1814 2902 3685 3777 3469 2959 2588 2478 2594 2858 3165 3419 3618 3718 3405 2783 2034 1434 1071 888 798 732 614 532 507 517 519 493 468 502 595 765 904 918 953 1027 1013 871 825 1251 1205 1012 707 505 394 280 213 256 583 1055 1433 1581 1576 1680 1954 2114 2085 2035 1993 2132 2126 2060 2005 1929 1874 1811 1714 1496 1181 875 655 543 536 624 731 701 565 444 325 258 283 367 413 422 360 360 351 356 362 345 322 324 327 288 251 248 329 500 699 861 974 982 1011 1051 1063 1043 1003 956 909 869 838 819 823 835 852
24 17 18 20 20 20 19 17 15 13 12 10 10 11 13 12 10 10 10 10 9 9 9 9 10 8 7 7 6 5 5 5 4 4 4 4 4 5 5 6 6 6 5 6 6 6 5 6 6 5 4 4 4 4 4 4 4 3 3 3 1 0 0 0 0 0 0 12 38 36 11 0 2 19 224 1085 2156 3119 3668 3710 3402 2980 2734 2445 2516 2653 2732 2822 2962 3020 2759 2228 1661 1255 1001 847 728 605 505 461 426 403 359 294 262 310 412 485 517 616 830 1099 1075 791 660 899 972 868 669 538 448 359 285 270 380 663 1074 1377 1471 1568 1775 1992 2126 2146 2131 2236 2168 2075 1991 1896 1791 1643 1472 1244 959 708 531 431 414 468 512 491 412 329 278 277 319 376 411 411 352 352 344 326 321 324 317 298 275 232 192 167 208 365 600 818 936 937 948 995 1017 1001 963 923 887 857 835 822 839 855 867
25 19 19 16 16 16 15 15 14 14 15 18 17 18 20 17 13 14 13 11 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 4 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 1 0 0 0 2 3 2 0 0 0 0 0 0 1 28 199 1003 2180 3183 3667 3688 3459 3181 2898 2529 2396 2157 1863 1688 1650 1648 1584 1441 1222 1017 846 712 589 482 423 406 408 367 260 165 132 166 246 334 424 584 760 981 922 688 562 636 745 792 638 531 470 417 359 314 319 416 645 947 1207 1459 1714 1924 2057 2134 2182 2179 1947 1740 1652 1615 1549 1432 1261 1017 757 568 449 384 371 395 407 369 327 303 305 324 357 388 393 370 339 344 349 345 349 349 325 283 248 217 199 182 198 309 523 754 888 900 897 940 969 958 929 902 880 859 841 823 838 853 875
23 23 21 18 15 14 14 13 14 14 14 16 19 21 25 25 23 23 22 19 13 9 8 7 7 7 6 5 5 5 5 5 5 5 4 5 5 6 6 6 6 5 4 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 3 0 0 0 5 20 27 17 5 0 0 0 0 0 0 28 227 899 2092 3062 3699 3727 3465 3159 2826 2507 2015 1539 1214 987 831 735 699 714 713 670 607 527 446 391 387 427 459 378 214 124 118 136 162 220 336 474 588 681 602 520 493 518 576 657 585 508 484 468 430 388 380 423 518 696 907 1088 1274 1454 1609 1746 1852 1797 1484 1222 1154 1192 1211 1141 972 751 552 446 387 353 342 348 356 352 336 344 354 361 366 367 358 343 338 350 358 363 371 355 302 243 215 200 184 158 167 264 467 694 838 863 852 880 911 915 904 897 891 876 858 834 838 849 867
24 23 21 18 15 14 14 12 11 12 13 13 14 19 20 21 25 27 25 20 12 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 5 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 2 0 0 4 32 80 88 56 19 2 0 0 0 0 0 20 191 769 1891 3075 3723 3295 2538 2117 1978 1780 1442 1115 960 838 692 520 369 300 320 356 378 358 341 356 395 444 449 335 170 105 112 118 120 164 249 300 324 402 386 376 391 435 510 574 549 489 505 532 507 460 454 505 567 612 675 726 814 936 1060 1167 1227 1154 927 751 725 775 803 752 638 512 420 375 349 331 331 340 352 362 372 393 391 370 343 320 310 316 330 338 334 329 325 292 225 168 149 139 128 118 137 226 416 636 787 829 820 834 863 882 876 886 897 895 885 863 851 851 861
27 23 19 16 14 14 13 12 10 11 13 15 16 17 16 19 26 24 22 17 12 8 8 7 7 7 7 7 7 6 7 5 5 6 6 6 5 5 5 5 6 5 5 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 2 0 5 25 62 146 157 99 37 6 0 0 0 0 0 1 36 538 1691 2836 2912 2104 1099 704 644 640 625 620 566 493 388 256 149 101 115 163 227 263 293 356 402 406 347 226 113 79 97 110 95 91 140 222 263 255 263 283 327 393 495 571 546 488 523 610 611 533 484 492 505 482 469 407 431 501 585 662 701 668 566 481 471 492 497 470 426 389 361 343 327 336 359 365 375 397 415 423 398 351 310 276 257 261 278 282 271 253 219 178 133 103 95 97 107 116 134 206 367 573 734 802 803 813 846 890 881 886 895 897 894 881 872 874 883
26 22 19 18 16 14 13 12 11 13 15 16 17 16 16 19 22 18 19 16 11 8 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 4 5 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 1 0 7 25 63 168 197 119 41 6 0 0 0 0 0 3 41 449 1104 1587 1433 967 483 170 43 74 141 185 183 149 99 52 26 19 36 89 171 232 262 354 405 381 289 177 100 76 82 106 97 66 88 138 152 152 195 254 325 408 524 589 556 490 505 633 731 643 507 425 394 372 348 325 314 323 358 398 422 415 383 358 361 374 377 369 354 341 328 321 316 416 419 400 407 433 448 436 391 328 276 242 229 242 264 262 224 190 132 97 75 66 72 90 111 130 150 209 332 507 672 768 794 805 827 888 915 922 917 908 901 893 884 894 915
22 20 18 18 17 15 13 14 15 14 13 13 14 15 14 14 15 16 18 14 10 7 7 7 7 7 6 5 5 5 5 5 6 6 6 6 5 5 4 5 5 4 5 6 5 4 4 4 4 4 4 4 4 4 4 3 3 2 0 0 9 23 70 166 202 106 26 3 0 0 0 0 0 5 52 67 274 441 406 257 114 35 9 15 36 53 52 34 14 8 2 0 18 84 164 204 218 309 339 285 200 127 82 60 54 79 107 62 35 57 91 120 192 265 331 431 553 596 551 492 501 604 769 683 496 370 324 323 334 319 288 268 258 260 263 262 262 275 307 342 362 369 365 350 329 316 330 455 404 389 417 453 462 432 371 303 250 215 216 259 305 295 212 145 88 60 47 49 67 98 135 170 205 255 340 464 609 727 791 819 838 883 919 928 925 919 913 908 905 914 930
19 17 16 18 20 21 21 24 25 24 20 19 19 23 20 23 26 21 15 10 8 7 7 7 7 6 6 5 6 5 6 6 6 6 6 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 3 15 35 91 159 163 77 9 1 0 0 0 0 0 0 0 2 24 43 31 9 2 8 24 44 53 50 41 28 16 14 12 9 11 58 121 162 192 249 253 191 139 112 90 62 37 36 68 35 8 19 71 146 230 292 333 421 526 556 525 498 514 561 631 552 399 315 290 293 290 262 229 215 208 188 160 141 149 187 249 315 364 390 391 368 331 300 290 313 284 316 386 442 448 404 335 270 224 191 197 265 316 294 208 120 65 36 26 36 67 120 184 243 291 327 372 441 555 681 780 843 886 924 941 942 936 932 927 923 924 937 952
17 15 14 17 22 30 34 38 39 36 35 34 33 37 35 29 27 22 15 10 7 7 7 7 6 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 0 1 12 20 46 79 106 94 41 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 31 61 80 66 46 33 25 21 22 28 28 13 22 63 115 159 182 157 108 97 101 89 60 25 4 12 12 8 26 99 197 255 258 261 330 436 487 493 501 516 506 458 372 272 271 268 253 225 193 169 160 158 137 101 72 75 119 194 273 353 395 389 353 310 263 212 166 148 193 283 358 375 336 273 225 203 175 155 205 239 214 153 91 46 16 13 28 69 144 232 299 327 343 357 394 481 589 694 783 856 911 942 962 965 966 959 948 944 956 961
14 13 12 17 25 35 42 45 52 53 45 35 29 25 17 17 18 16 14 12 9 7 6 6 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 0 0 3 12 23 44 43 42 31 12 0 0 0 0 0 0 0 0 0 0 0 0 2 11 35 69 94 92 64 47 39 35 33 35 39 36 20 8 34 81 113 115 88 53 45 66 64 39 13 0 0 7 53 78 165 203 176 125 119 209 360 450 479 490 462 383 290 230 194 241 240 206 172 154 149 145 132 101 63 42 45 82 154 249 344 394 378 337 296 228 151 99 75 81 133 192 221 213 191 184 191 164 118 108 120 109 81 51 24 7 9 27 73 158 245 294 299 294 279 298 351 418 494 573 652 740 872 961 970 1006 1027 1022 1023 1057 1069
13 13 12 26 30 36 42 44 51 53 43 32 23 17 15 16 16 10 9 9 7 6 6 6 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 2 0 0 0 5 15 27 42 26 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 8 28 69 108 121 104 77 62 55 50 47 46 45 42 33 17 23 47 62 62 50 30 13 31 29 13 3 0 0 25 125 143 122 77 44 22 46 154 324 450 464 420 325 231 175 163 172 196 170 132 115 123 138 140 119 82 47 36 44 80 154 256 353 398 369 326 367 291 154 65 38 28 34 51 69 83 107 156 199 171 100 73 63 55 40 23 9 4 12 34 84 165 227 248 239 225 201 198 215 241 272 311 364 459 639 803 871 1032 1158 1200 1199 1221 1282
13 13 15 29 29 40 40 36 34 35 31 27 28 26 23 17 9 7 7 6 6 6 6 6 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 2 0 0 0 11 26 45 62 48 16 2 0 0 0 0 0 0 0 0 0 0 0 1 4 17 52 104 144 152 132 104 83 72 64 60 56 53 50 46 38 27 26 27 21 11 3 1 3 4 1 0 0 0 4 18 32 17 8 2 0 28 118 266 401 435 341 191 106 91 110 125 123 97 75 80 100 116 116 99 73 50 50 70 122 198 288 364 385 338 262 190 132 74 30 11 6 5 4 7 17 57 138 201 167 99 65 47 33 20 8 2 6 20 46 105 185 209 209 202 181 159 150 146 144 145 150 165 208 300 427 565 837 1064 1191 1269 1413 1677
11 12 16 24 27 31 29 25 22 21 21 20 27 29 26 19 12 10 6 6 6 6 6 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 0 2 32 61 106 128 93 30 1 0 0 0 0 0 0 0 0 0 0 0 3 14 37 82 140 182 192 172 141 112 93 81 74 69 63 58 55 52 42 30 29 26 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 61 161 284 354 261 71 24 33 50 56 49 45 46 64 82 94 95 85 70 67 86 128 185 236 285 318 316 276 186 112 68 39 17 5 2 0 0 0 6 57 147 184 123 69 41 28 16 6 1 1 7 25 63 142 206 195 192 191 169 146 130 115 105 100 97 102 119 152 201 297 485 658 793 923 1123 1437
10 10 13 18 19 16 14 15 14 13 14 16 20 25 26 25 22 15 8 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 2 12 72 117 192 193 121 37 0 0 0 0 0 0 0 0 0 0 0 2 10 32 69 121 180 230 248 228 188 147 118 102 92 85 78 71 67 63 58 52 53 54 36 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 60 133 186 102 10 2 7 17 18 15 22 38 58 71 75 77 76 79 102 146 199 216 206 203 209 227 250 189 96 68 50 30 15 6 0 1 8 47 127 192 185 114 49 19 10 5 1 0 1 5 25 77 184 212 175 161 151 129 107 94 84 75 67 68 77 101 135 172 239 296 353 408 480 575 695
11 10 10 13 13 10 9 9 9 8 8 9 12 16 19 20 18 12 8 6 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 1 7 34 98 140 155 118 66 20 0 0 0 0 0 0 0 0 0 0 0 9 27 59 106 164 227 290 324 294 232 178 144 126 116 112 103 91 82 78 77 77 76 68 42 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 32 40 12 1 0 1 4 4 9 22 39 49 54 59 65 78 105 154 213 228 186 126 95 113 150 166 152 130 104 78 43 18 5 3 15 51 187 275 257 170 81 30 11 5 3 1 0 0 3 21 77 176 199 150 119 95 73 57 50 47 44 41 47 53 73 108 146 195 219 229 235 267 317 373
9 9 9 8 9 8 8 8 8 7 7 8 9 10 11 7 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 0 0 2 18 53 87 70 43 26 12 3 0 3 5 2 0 0 0 0 0 2 8 22 54 88 146 221 295 357 386 335 254 199 167 152 149 152 147 124 105 98 98 97 90 74 45 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 2 0 0 0 0 0 0 0 9 26 39 41 41 48 67 94 135 206 261 214 137 66 35 71 148 212 234 241 243 149 61 20 7 14 44 116 357 367 278 169 80 29 12 4 1 0 0 0 0 15 57 120 140 99 72 52 34 20 17 20 24 23 28 32 46 72 101 139 168 176 179 191 212 228
7 8 8 7 7 7 7 7 6 7 9 11 12 11 9 8 6 5 5 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 0 0 5 42 78 76 37 8 1 0 0 9 43 68 48 0 0 0 0 1 8 23 44 77 103 174 286 383 424 401 333 258 210 177 162 166 181 185 168 142 129 122 113 100 79 50 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 4 16 31 37 33 32 44 68 92 138 233 287 220 115 40 16 41 133 287 443 531 536 335 95 28 13 28 67 155 389 403 294 178 86 35 15 3 0 0 0 0 0 7 31 69 91 74 45 22 6 0 3 8 13 13 16 20 29 42 60 84 112 132 141 151 162 167
7 7 6 6 6 5 5 4 4 6 8 10 11 10 7 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 1 0 2 12 79 122 89 37 7 0 0 0 80 226 294 184 0 0 0 2 8 20 41 68 89 99 157 290 420 460 403 314 244 190 146 126 133 157 181 187 177 163 147 127 108 87 58 25 19 3 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 5 13 20 18 7 0 0 6 20 32 38 39 41 47 60 69 112 222 289 243 133 47 19 22 47 133 343 649 816 579 146 45 20 35 82 178 334 395 321 201 97 43 20 3 0 0 0 0 0 2 14 39 66 62 29 10 2 0 0 1 4 8 11 15 22 29 36 46 61 74 83 90 87 81
7 6 5 4 3 3 4 3 3 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 1 2 13 48 134 171 98 36 7 0 0 14 200 482 537 264 0 0 2 10 22 37 55 71 79 82 105 203 348 433 392 277 168 109 71 63 73 96 131 164 182 179 163 142 120 98 74 51 32 21 6 2 2 5 10 16 17 10 2 0 0 0 0 2 10 30 37 33 21 6 0 0 2 11 26 45 58 59 50 45 46 85 201 287 279 190 90 38 33 22 21 81 245 488 591 229 77 32 44 100 195 310 389 357 222 124 63 28 10 2 0 0 0 0 0 6 20 34 30 10 4 1 0 0 1 3 7 8 11 18 24 26 29 36 41 45 45 42 34
5 4 3 2 2 3 4 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 6 35 96 169 170 75 23 4 0 0 28 169 384 352 124 1 3 11 27 39 49 56 61 59 54 57 94 194 291 258 150 60 30 19 26 42 63 90 128 165 184 179 155 124 100 83 76 74 43 23 20 22 27 35 42 39 20 2 0 0 0 5 20 49 71 64 42 19 5 0 0 0 6 24 52 69 61 40 31 37 72 216 328 359 300 186 88 71 51 23 10 21 110 255 207 80 41 56 117 216 322 387 349 188 120 81 39 11 5 1 0 0 0 0 3 12 21 20 2 0 0 0 0 1 2 2 2 5 13 19 20 21 26 28 29 24 21 17
5 3 2 1 1 2 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 10 50 110 148 119 53 17 3 0 0 9 33 48 7 2 4 14 30 43 45 46 49 48 41 33 27 31 58 96 70 29 7 3 8 30 55 89 99 120 160 193 190 157 118 102 105 99 87 71 47 43 49 59 61 54 36 14 1 0 1 4 21 53 91 108 102 66 36 16 5 0 0 3 13 38 53 45 34 41 61 88 233 372 441 418 326 222 172 113 83 55 35 43 69 66 61 54 65 115 201 296 351 310 161 99 64 32 10 2 0 0 0 0 0 1 2 5 6 1 0 0 0 0 2 3 2 0 1 3 6 9 14 17 15 18 11 6 4
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