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 7 7 7 7 7 8 8 8 8 9 9 9 10 10 12 14 16 19 20 20 18 15 11 8 7 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 6 6 6 5 5 5 6 8 8 6 6 11 19 27 32 31 23 14 7 4 3 2 2 3 4 5 6 7 7 6 5 4 4 4 5 5 6 6 6 6 7 8 7 6 5 4 4 3 3 3 3 4 3 2 3 5 7 7 6 4 2 2 5 8 9 9 10 12 11 8 8 11 14 13 9 7 7 9 10 10 8 8 10 10 8 7 9 11 13 13 12 11 10 8 6 5 5 6 7 7 6 5 6 8 10 8 5 3 3 3 3 4 8 12 10 6 3 4 6 8 9 8 7 7 7 8 9 9 9 8 7 7 9 13 17 18 18 18 18 17 nan
nan 6 7 7 7 7 7 7 8 8 8 8 9 9 9 10 12 15 19 23 26 26 23 18 14 10 8 7 7 6 6 6 5 5 5 6 6 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 8 8 6 7 13 22 30 33 30 21 12 6 4 3 2 3 5 8 8 7 7 8 7 6 5 4 4 5 5 6 7 7 6 6 6 6 6 6 6 5 4 4 5 6 6 6 6 6 6 7 6 5 4 3 3 5 7 8 9 10 10 9 7 8 12 14 12 9 10 11 11 10 9 7 6 8 11 11 9 10 11 12 12 12 12 10 6 3 4 6 8 9 8 7 6 7 9 10 8 5 3 3 4 5 7 9 12 11 8 6 5 6 7 7 6 5 5 6 7 8 7 6 5 4 3 4 8 14 17 18 17 16 15 nan
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nan 7 7 7 7 8 9 10 11 12 12 10 9 7 6 5 5 5 5 4 4 5 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 6 6 6 5 5 5 7 8 7 9 14 22 28 28 22 14 10 8 7 8 11 15 18 18 18 19 19 20 19 18 17 15 14 11 9 8 8 9 10 10 9 8 8 10 12 14 15 15 12 9 8 11 12 10 8 8 9 9 7 5 3 1 2 5 10 13 13 8 3 2 6 9 9 8 9 11 11 9 7 7 8 9 10 10 9 7 7 10 13 12 9 7 6 7 7 8 8 10 10 9 9 8 8 8 8 7 8 10 12 13 13 11 9 7 6 5 4 4 4 6 8 9 10 10 9 7 5 4 3 3 4 5 7 9 12 15 14 13 11 10 nan
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nan 11 10 9 8 7 7 8 8 9 9 10 9 8 9 12 15 17 18 15 13 11 12 12 11 9 7 5 4 4 4 5 6 7 8 9 10 12 12 12 11 10 8 9 10 13 15 14 11 9 8 9 12 14 15 13 12 11 12 11 10 9 8 8 9 10 11 11 8 5 4 5 6 7 7 7 6 5 4 5 7 8 8 7 6 6 8 10 11 12 13 15 15 13 11 9 9 11 14 16 16 13 9 7 6 8 8 7 5 4 4 5 6 7 6 5 5 7 11 14 18 20 20 17 12 7 6 9 12 12 11 10 10 10 10 10 10 10 9 8 7 7 7 9 10 8 7 7 8 9 9 9 9 9 8 8 12 16 16 12 7 6 9 15 18 16 10 4 2 2 4 6 8 9 9 10 10 10 10 9 8 6 6 6 7 8 9 9 9 9 nan
nan 10 9 9 8 8 8 8 8 8 9 10 10 10 11 14 16 18 17 15 12 12 12 12 11 9 7 5 4 5 6 6 6 6 7 9 10 12 12 12 12 12 11 11 13 16 17 15 11 8 8 9 10 13 14 15 14 12 10 9 8 8 8 9 9 9 7 5 4 4 6 7 9 10 10 9 7 5 3 3 4 6 7 7 6 7 9 10 11 11 12 13 13 12 12 12 12 13 15 17 16 12 8 4 3 5 7 8 8 6 5 5 5 5 4 1 -3 -2 1 7 13 17 20 19 16 13 15 18 17 13 8 4 3 4 4 6 9 12 13 11 9 7 7 7 7 7 7 7 8 9 9 10 10 10 10 9 10 11 11 10 8 7 10 13 14 11 6 1 -1 -0 2 5 8 9 9 9 9 9 9 8 7 6 6 6 7 8 9 9 10 10 nan
nan 9 10 10 10 10 9 9 8 8 9 10 11 11 12 13 15 16 14 11 10 11 11 11 11 9 7 6 5 6 7 6 6 6 7 8 9 10 11 11 12 13 14 14 14 15 16 14 11 9 8 8 9 11 14 16 15 11 8 6 7 8 9 9 9 8 4 3 3 5 7 9 11 12 11 10 7 4 3 2 3 5 7 7 6 7 8 10 11 11 11 12 13 14 16 16 15 13 13 13 12 9 5 2 -0 1 4 8 9 8 7 6 7 8 7 3 -4 -7 -6 -1 5 12 18 21 22 23 24 23 18 11 5 2 1 0 0 2 5 9 11 10 7 6 5 5 6 6 7 8 8 9 9 10 11 12 12 12 11 10 10 10 11 11 11 11 9 6 2 -1 -2 -2 0 3 7 9 9 8 8 8 7 6 6 5 6 6 7 8 8 9 9 10 nan
nan 8 10 12 12 11 10 9 9 8 9 10 11 11 11 12 13 13 11 9 9 11 11 11 10 8 6 6 6 6 6 6 6 6 7 7 7 8 9 10 12 13 15 16 15 13 12 11 10 10 9 8 8 10 13 16 14 10 8 7 9 10 10 10 9 7 5 4 5 7 8 10 11 11 10 8 5 3 2 2 3 5 7 9 8 7 7 8 10 11 12 13 14 16 17 16 14 11 10 9 8 6 3 1 -2 -1 3 6 8 8 8 8 10 12 12 9 2 -4 -6 -5 -0 6 13 19 22 22 22 18 14 10 8 7 6 6 5 4 5 7 7 7 5 4 5 6 7 7 8 8 8 8 8 9 10 12 14 15 15 13 12 12 14 14 12 8 5 2 1 -1 -2 -2 0 3 6 7 8 7 7 7 6 5 5 5 6 6 7 7 7 8 8 9 nan
nan 8 10 12 12 11 10 9 9 9 10 11 12 12 11 11 10 10 10 11 13 13 12 10 8 7 5 5 5 6 6 7 6 7 8 8 7 7 7 9 11 13 16 17 17 14 10 8 9 10 10 9 9 10 13 15 14 12 11 11 10 10 10 10 9 7 5 6 7 7 8 9 10 11 9 6 4 3 2 2 3 5 7 10 10 8 6 7 8 11 13 14 16 16 15 13 11 9 9 9 8 6 3 0 -1 0 3 5 7 8 9 10 12 14 15 13 8 2 -1 -2 -0 3 9 13 15 14 12 9 8 9 11 13 14 14 13 12 11 9 8 7 6 7 7 8 9 9 7 7 7 7 7 8 11 13 15 16 16 15 14 14 14 13 10 5 2 1 1 1 1 0 1 3 5 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 nan
nan 9 10 11 10 9 8 8 9 10 11 13 14 14 12 10 9 10 12 15 16 14 11 8 6 5 4 3 4 5 7 8 8 9 9 9 8 7 7 7 10 13 16 18 18 15 10 7 8 10 11 11 10 10 12 15 18 18 17 14 11 9 8 8 7 6 6 8 8 7 7 8 10 11 11 8 6 4 4 4 3 4 7 10 11 9 7 6 7 9 12 15 16 16 15 12 10 9 9 10 10 9 6 3 1 0 1 4 7 9 11 13 13 14 14 13 11 8 6 4 3 4 5 7 8 7 5 4 3 5 10 15 17 18 18 17 15 14 12 10 9 10 10 11 10 9 8 6 6 6 7 8 12 14 14 13 13 13 14 14 13 11 7 4 2 2 2 3 3 4 4 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 8 7 7 9 10 11 13 14 15 14 12 10 11 12 15 16 15 12 9 6 4 4 3 3 3 5 7 8 9 10 11 10 9 8 7 7 8 11 14 16 15 13 9 7 9 11 11 11 9 9 11 15 19 21 20 16 12 9 8 7 6 6 8 10 9 8 7 8 11 13 14 12 8 6 4 4 4 5 7 10 12 10 8 6 6 8 11 14 16 16 15 14 11 10 10 11 12 13 12 9 4 1 1 4 8 11 13 14 14 13 11 10 10 10 11 10 8 6 4 3 4 4 4 3 2 3 7 11 15 16 17 16 16 14 13 12 11 12 13 13 13 11 10 8 7 7 7 8 11 11 11 10 11 11 13 15 15 12 9 6 4 4 4 5 6 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 nan
nan 8 8 8 7 7 7 10 11 13 14 15 15 13 12 12 13 14 15 14 12 9 6 4 3 3 3 4 4 6 7 7 9 10 12 12 11 9 7 7 8 10 12 13 11 7 2 1 5 10 10 9 8 8 11 14 17 18 17 15 12 9 8 6 6 7 10 11 9 7 7 8 11 14 15 13 10 7 4 3 3 4 6 9 11 10 8 6 6 7 10 13 15 16 15 13 12 11 10 10 12 13 14 11 6 3 3 6 10 12 13 13 13 12 10 8 8 9 11 11 10 8 6 5 4 4 4 3 3 2 3 6 8 10 11 11 11 11 11 10 10 11 12 14 14 13 12 10 9 9 8 8 8 8 8 8 8 9 12 15 17 15 11 8 6 6 6 7 8 9 9 8 7 5 5 5 6 7 7 7 7 7 7 7 7 8 8 7 8 8 nan
nan 8 8 8 7 7 7 9 11 13 15 17 15 13 12 13 13 13 13 12 10 7 5 4 3 3 4 5 6 6 7 7 8 10 12 13 13 10 7 7 8 10 11 12 9 3 -4 -5 -0 6 9 9 9 11 13 15 15 14 13 11 9 7 6 6 7 9 10 10 8 6 5 7 10 12 13 12 10 8 5 3 2 3 4 6 8 9 8 7 7 8 9 11 13 13 12 11 11 10 9 8 9 10 12 11 8 7 7 8 10 10 10 9 9 9 7 6 6 7 8 9 10 10 9 8 7 6 7 7 6 5 3 3 4 4 4 4 5 6 7 7 7 7 8 10 12 13 13 12 11 10 9 7 6 6 6 6 6 7 9 13 16 15 13 10 8 7 8 8 9 10 10 9 7 6 5 4 5 6 7 6 6 6 6 7 8 8 9 8 8 9 nan
nan 9 8 8 7 6 6 7 10 14 17 18 17 13 11 11 10 10 9 8 8 7 6 5 4 3 4 5 6 6 6 7 8 10 12 14 13 10 8 8 10 12 13 14 13 7 -0 -4 -1 5 9 11 13 15 17 17 14 11 9 8 6 4 5 7 9 9 9 8 6 5 5 7 9 11 11 10 10 9 6 4 2 1 2 4 6 8 8 8 8 8 9 10 10 9 8 7 8 8 7 5 6 8 10 12 11 10 9 8 7 7 6 6 6 5 6 7 8 8 7 7 9 11 11 11 10 9 10 11 11 10 8 6 5 3 2 1 0 1 4 6 6 5 5 7 9 11 12 13 13 12 10 8 6 5 4 4 6 7 9 12 14 14 12 10 8 7 8 9 9 9 9 9 8 6 5 4 5 6 6 5 5 5 6 7 8 9 10 10 10 10 nan
nan 8 6 5 4 4 5 7 11 15 18 19 17 12 9 8 7 7 7 6 6 6 6 6 4 3 2 3 4 4 5 7 9 11 13 13 12 10 9 10 12 14 16 17 18 17 11 6 5 8 11 14 16 18 20 17 12 9 7 6 5 5 8 11 12 10 8 7 6 6 7 8 10 11 11 10 9 8 7 5 3 3 4 5 6 7 9 9 10 10 11 11 9 6 4 4 4 5 5 4 6 10 13 13 12 10 7 6 6 6 6 5 4 4 7 11 13 12 9 8 10 12 13 13 12 12 12 13 13 12 11 10 7 6 5 4 3 2 4 6 8 9 9 8 8 9 11 13 13 13 13 11 8 5 4 4 6 8 11 13 13 12 11 9 8 8 8 8 9 9 9 9 8 7 5 4 4 5 5 5 5 6 6 8 9 10 11 11 11 11 nan
nan 5 2 1 1 2 5 8 13 17 19 18 15 11 7 5 5 7 8 8 6 6 6 6 4 3 2 2 3 3 5 7 10 13 13 12 11 10 11 12 14 16 17 19 21 23 21 16 13 12 13 14 15 16 16 14 10 8 8 8 7 7 10 13 12 9 6 6 6 6 7 8 9 10 11 11 10 8 7 6 6 7 8 8 7 8 9 11 12 13 13 13 10 7 4 3 3 4 5 6 9 13 15 14 12 10 7 6 6 7 7 6 5 5 8 13 16 16 13 12 12 13 13 13 13 12 12 12 12 12 12 11 9 8 8 8 7 5 5 7 10 14 14 13 9 8 8 10 11 12 13 12 10 7 5 5 6 7 9 11 11 10 9 8 8 8 8 8 8 8 8 7 6 5 4 4 4 4 5 5 6 6 7 9 10 11 12 12 12 12 nan
nan 4 -0 -2 -0 3 7 11 15 17 18 16 13 9 6 4 5 8 10 10 8 7 7 7 6 6 5 5 5 5 6 8 11 13 13 11 9 9 11 13 15 16 17 19 20 22 22 19 16 14 13 12 12 12 11 11 10 9 9 9 8 8 10 14 12 8 5 4 5 5 5 6 6 9 12 12 11 9 8 7 8 9 10 10 9 8 9 11 13 14 15 14 11 8 6 5 6 8 10 12 14 15 15 14 12 10 8 8 8 9 8 8 7 7 9 11 14 16 15 14 14 13 12 11 10 10 10 11 12 12 12 10 9 9 10 9 8 5 5 8 12 16 17 16 12 8 7 7 8 8 9 9 9 8 8 7 7 7 7 9 10 10 9 8 8 8 8 8 8 8 8 7 6 4 3 3 4 4 5 6 7 8 8 9 10 11 11 12 12 11 nan
nan 5 3 2 4 7 10 14 16 17 16 13 9 6 4 4 6 9 11 11 10 8 8 8 9 10 11 12 11 9 8 9 11 12 12 10 8 8 10 12 14 15 16 16 18 18 18 16 14 12 11 11 11 11 11 11 11 11 11 10 9 9 11 13 12 8 6 5 5 5 5 4 5 7 10 11 10 9 7 6 8 11 12 12 10 8 8 10 12 14 14 13 11 9 7 6 8 12 16 18 18 17 15 13 10 8 7 8 9 10 10 10 10 9 9 10 11 12 13 15 15 13 11 9 7 6 6 7 9 11 11 10 9 8 9 8 6 5 7 11 14 16 17 16 14 11 8 6 4 3 4 5 7 8 10 10 9 9 10 11 12 11 9 8 8 8 8 8 8 9 9 9 7 5 4 4 4 5 6 7 8 9 9 10 10 11 11 11 11 11 nan
nan 7 9 10 13 14 15 15 14 14 13 11 8 5 4 5 6 9 10 10 10 9 10 10 10 12 15 17 16 13 10 9 9 10 11 9 8 8 8 9 11 12 13 14 15 16 15 14 12 10 9 9 11 12 12 12 12 12 11 10 10 10 11 12 11 10 9 7 7 7 7 7 6 7 8 9 9 8 7 7 10 13 15 14 11 9 7 7 9 11 11 11 9 7 6 6 7 10 15 19 19 17 16 12 8 5 4 6 8 9 9 9 9 8 8 7 6 6 8 12 14 14 13 9 6 4 4 5 6 8 9 9 9 9 9 8 8 9 12 15 16 16 15 15 14 12 9 6 4 3 2 3 5 8 11 12 11 11 12 13 13 13 11 9 9 9 9 9 9 10 10 11 11 10 9 7 6 6 6 7 8 9 10 10 10 10 10 11 11 12 nan
nan 9 12 15 17 18 16 14 12 12 12 11 9 6 5 5 6 7 8 8 8 9 9 10 11 12 14 17 19 18 13 10 8 8 9 9 7 6 6 6 7 9 10 12 13 15 14 12 10 8 8 8 10 12 13 13 13 12 12 11 11 11 11 11 10 10 10 8 6 6 7 9 8 8 8 8 8 8 8 10 14 17 18 16 12 9 7 6 6 7 8 8 7 6 5 5 5 6 9 12 14 15 14 10 6 3 2 2 3 4 5 5 5 5 4 3 3 2 3 7 12 14 14 12 8 5 4 4 5 6 7 8 9 10 11 11 11 12 14 15 14 12 10 9 9 9 8 7 5 4 3 3 4 6 9 10 10 10 10 10 11 13 12 11 10 10 10 9 9 10 10 11 12 13 12 10 8 7 6 7 8 9 10 10 11 11 11 11 12 12 nan
nan 11 12 13 15 15 14 13 13 14 14 13 11 8 6 4 4 5 6 7 7 7 8 9 10 10 11 15 19 21 18 13 9 8 7 7 6 5 4 4 5 6 8 10 12 13 13 11 8 7 7 8 9 11 13 14 13 12 12 12 12 12 12 12 12 11 10 7 4 3 5 8 9 9 8 8 7 7 9 11 15 18 17 15 12 10 8 6 6 6 7 7 7 6 7 7 6 5 4 7 10 11 10 7 4 2 1 1 0 0 1 1 1 1 1 1 2 2 3 5 8 11 12 12 10 7 6 6 6 7 7 7 8 9 11 12 11 11 11 11 10 7 5 4 4 6 8 8 8 6 4 2 1 3 5 7 7 6 6 6 7 9 10 11 11 10 9 9 9 9 10 11 13 13 13 12 10 8 6 6 8 9 10 11 12 12 12 12 13 13 nan
nan 14 13 11 10 10 11 13 15 16 16 14 10 7 4 2 2 3 4 5 5 5 6 8 8 9 8 11 16 20 20 16 12 10 8 7 6 5 4 4 4 5 7 9 11 12 12 10 9 7 6 6 7 10 13 13 13 12 12 12 12 12 12 13 14 13 12 8 5 3 4 7 10 10 10 9 8 7 7 10 12 14 14 13 11 10 9 9 8 8 8 8 9 10 11 12 11 8 6 9 11 11 8 5 2 2 2 3 3 2 0 -1 -0 0 2 4 6 7 8 8 9 10 10 11 10 9 8 8 8 8 7 6 6 6 7 8 7 6 6 6 5 4 2 2 3 5 8 11 11 8 5 1 0 1 2 3 3 2 2 3 4 5 7 8 9 8 8 7 7 8 10 11 13 13 13 12 11 9 8 8 9 10 11 12 12 12 13 13 13 13 nan
nan 15 13 10 9 10 10 13 15 17 15 11 8 5 3 2 2 2 3 4 4 4 5 6 7 8 7 7 11 15 16 15 13 12 11 10 8 8 7 6 5 5 7 9 10 12 12 12 10 7 6 5 7 10 13 12 11 11 11 11 10 10 10 12 14 15 14 12 9 6 6 7 9 11 11 10 8 7 7 8 10 11 12 11 11 11 11 11 11 11 11 12 13 14 15 15 13 12 12 14 15 12 8 5 3 4 6 7 8 7 4 2 2 3 6 8 10 12 13 14 13 12 11 10 10 9 9 9 9 9 8 7 6 5 4 4 3 2 2 3 3 3 2 3 4 7 9 13 14 10 5 1 -0 -0 -0 -0 -1 -1 -1 0 2 4 6 7 6 6 6 5 6 7 9 11 12 13 13 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 nan
nan 13 11 10 11 12 12 13 14 15 12 8 5 4 4 3 2 2 2 3 3 3 5 6 7 7 6 6 8 10 12 12 12 12 12 12 12 12 11 9 8 7 7 9 10 12 13 12 10 8 6 7 9 13 15 13 11 10 10 9 8 8 8 9 12 15 16 16 13 10 8 8 8 10 10 10 8 7 6 7 8 9 9 10 10 11 11 12 12 13 15 16 16 16 15 13 13 14 15 16 15 12 9 7 7 9 11 11 11 11 9 8 7 7 8 10 10 11 14 16 17 16 13 11 9 9 9 9 9 9 8 8 7 6 4 3 2 1 1 3 3 4 4 5 7 9 11 13 13 9 5 2 -0 -2 -3 -4 -4 -4 -3 0 2 3 4 5 5 5 5 4 5 6 7 9 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 nan
nan 10 9 10 12 13 14 14 13 12 11 8 6 5 6 4 3 2 3 4 4 4 5 6 7 6 6 5 7 9 10 10 10 10 12 14 16 15 14 12 11 11 10 10 11 13 12 11 9 8 7 9 13 16 16 14 12 10 9 8 7 6 7 7 8 11 14 16 16 14 12 9 8 8 8 8 7 6 5 5 6 7 8 9 10 10 11 12 14 16 18 18 16 13 10 8 8 11 13 13 12 11 9 9 11 14 15 14 13 12 12 11 11 10 10 9 9 10 13 16 19 19 15 11 9 9 9 9 9 8 8 8 8 7 6 4 3 3 3 4 4 5 6 7 9 11 12 11 9 6 6 5 3 -0 -4 -5 -6 -5 -3 -0 1 2 3 3 4 4 5 5 5 6 6 7 8 8 8 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 nan
nan 8 7 9 10 11 13 14 15 13 11 8 7 7 7 7 5 5 5 6 6 6 6 7 7 6 5 5 7 9 9 9 9 10 11 16 19 17 14 12 11 12 12 12 12 12 11 10 9 9 10 12 14 15 14 13 11 10 9 8 7 6 6 5 5 6 9 13 16 16 15 12 10 8 8 7 7 6 5 5 7 8 9 10 10 10 11 12 15 18 19 17 12 8 5 4 7 9 10 10 9 8 7 8 10 13 15 14 13 12 13 13 13 13 12 12 11 12 15 17 19 18 14 10 9 9 9 9 9 8 8 8 8 8 7 6 5 4 4 3 4 5 7 9 10 10 9 7 5 5 8 11 10 8 4 -0 -2 -2 -1 1 2 3 3 4 5 6 6 6 6 6 6 6 7 7 7 7 8 10 11 11 12 12 12 12 12 12 12 12 11 10 nan
nan 7 7 8 8 8 10 13 15 15 14 10 7 7 7 7 7 7 8 8 8 8 7 7 7 6 5 5 7 8 9 9 9 10 12 17 19 18 14 11 10 11 12 12 12 11 10 8 8 10 12 15 15 14 12 11 9 9 9 8 8 7 6 4 3 4 7 11 14 15 14 12 10 9 9 9 8 7 7 8 9 11 12 11 11 10 10 12 15 17 16 13 8 5 4 6 10 11 10 9 7 6 5 5 7 10 12 13 13 13 14 15 14 14 14 15 15 16 16 17 17 15 11 9 9 9 9 9 9 9 9 8 8 7 7 7 6 5 3 1 2 4 8 10 11 9 6 4 5 7 10 13 16 16 14 9 5 4 4 5 5 6 6 6 7 7 7 6 6 5 6 6 6 7 7 8 9 10 10 11 12 13 14 13 13 13 12 11 11 10 nan
nan 8 9 8 7 6 7 9 12 13 13 12 9 8 6 5 5 6 7 8 9 9 9 8 8 7 5 6 7 8 9 10 10 11 12 15 18 18 15 12 10 11 13 13 12 11 9 7 7 9 12 14 14 13 11 9 8 8 8 8 8 7 7 6 6 7 8 11 12 12 11 10 9 9 10 10 11 9 8 9 10 12 12 12 10 10 10 11 13 13 12 9 6 5 7 10 13 13 11 9 8 6 5 4 6 8 10 12 13 14 14 14 14 13 14 15 16 16 16 15 14 12 11 10 10 9 10 10 10 10 10 9 8 7 7 7 6 5 2 -0 -0 3 8 11 11 8 4 4 6 9 10 12 15 17 17 13 9 8 9 9 9 9 9 9 8 7 7 6 5 5 5 6 7 8 8 9 10 11 12 13 15 16 15 14 13 12 11 10 10 10 nan
nan 9 10 10 7 5 5 5 7 9 10 10 10 8 5 3 2 3 6 7 9 10 11 10 9 7 5 5 6 7 9 10 10 10 10 11 13 15 14 13 12 13 15 15 13 11 10 8 6 6 8 11 13 13 11 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 9 10 11 12 11 9 7 7 7 8 8 8 8 8 8 9 10 10 10 8 7 8 9 12 14 14 13 11 10 9 7 6 6 8 10 11 13 13 12 11 10 11 12 14 15 15 14 13 12 12 11 10 10 10 10 10 10 10 10 10 9 8 7 7 6 5 3 1 0 3 7 10 10 7 2 2 4 7 9 11 12 13 12 10 8 8 9 10 10 10 9 9 8 8 7 6 6 6 6 7 9 10 11 12 12 13 14 15 16 16 15 13 11 10 9 8 8 9 nan
nan 10 11 10 8 4 3 3 4 5 6 6 6 5 2 1 1 3 5 7 9 12 13 12 10 7 4 3 4 6 8 9 10 9 7 7 7 9 10 11 13 15 17 16 14 12 11 9 7 6 6 8 10 11 10 9 8 9 9 9 9 8 8 9 10 9 8 7 7 7 7 7 9 11 12 12 10 7 5 4 4 4 3 3 4 6 8 9 9 10 11 11 11 10 10 11 13 14 14 13 12 11 9 8 8 8 9 11 12 12 11 9 8 9 11 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 4 3 4 6 7 7 4 1 1 1 2 5 7 7 5 3 3 3 5 6 7 7 8 8 8 8 9 9 8 8 8 8 10 12 13 14 14 14 13 14 15 16 14 12 11 10 9 7 6 6 7 nan
nan 10 11 11 8 5 3 3 4 4 4 4 3 2 1 1 2 4 6 7 10 13 14 14 12 7 4 2 3 6 8 9 8 7 5 4 5 6 7 9 11 14 15 14 13 13 13 12 11 8 6 5 6 7 8 9 10 11 12 12 11 10 10 10 10 9 6 4 3 3 3 4 6 9 11 11 8 6 4 4 3 2 2 1 3 5 7 8 10 11 13 13 12 10 9 11 13 15 15 14 12 11 10 10 10 9 9 10 11 11 9 7 8 9 10 11 11 11 11 10 10 11 12 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 5 3 3 3 3 2 2 2 2 1 1 1 1 -2 -3 -2 0 3 4 5 6 7 8 9 10 11 11 10 9 9 10 12 14 14 14 14 13 12 13 15 15 13 10 9 8 8 7 6 5 6 nan
nan 9 10 10 8 7 7 7 6 6 6 5 5 4 4 5 6 8 9 9 11 14 16 16 13 9 5 4 5 7 8 8 7 5 4 5 6 7 8 9 10 12 13 11 10 11 14 15 15 13 8 3 2 4 7 9 11 13 14 14 12 11 10 10 10 8 5 3 1 0 -1 0 3 7 9 9 7 5 5 5 5 5 4 4 4 5 6 7 9 11 13 14 12 10 8 9 12 14 15 13 11 9 10 11 11 10 10 10 11 10 8 6 6 7 9 10 11 11 11 10 11 12 12 11 10 10 10 11 11 11 12 11 11 10 9 8 8 8 8 8 6 4 3 2 2 2 3 4 4 4 3 1 -1 -3 -3 -1 1 4 6 8 9 10 11 12 13 14 14 12 10 10 11 12 13 13 12 11 11 12 14 15 14 12 10 8 8 7 6 6 6 6 nan
nan 8 8 8 8 9 10 11 10 9 8 8 7 8 9 10 11 13 12 12 13 15 17 16 14 11 8 7 8 8 7 6 5 4 4 6 8 10 10 10 10 11 10 9 9 10 13 16 18 16 11 4 1 2 6 9 12 14 14 14 12 11 10 9 8 7 5 4 4 3 2 2 4 6 9 9 8 5 5 6 7 8 7 6 5 5 4 5 7 9 12 14 13 10 8 9 11 14 14 13 10 8 9 10 11 11 11 11 10 8 5 5 6 9 11 13 13 12 12 11 12 12 12 11 10 10 9 10 11 12 13 13 13 12 11 9 9 9 9 8 7 6 5 5 4 4 4 4 4 4 4 2 1 -1 -1 1 3 6 10 14 16 16 16 16 16 16 15 13 11 10 11 12 11 10 10 10 11 13 14 14 13 12 9 8 7 7 7 7 7 7 nan
nan 6 7 7 8 10 12 13 12 10 9 8 9 10 12 13 15 16 16 15 14 15 15 15 14 12 10 9 9 8 6 5 4 4 5 7 9 10 11 11 10 10 10 10 10 10 12 14 17 16 13 7 2 2 5 8 10 12 13 12 11 10 9 8 7 6 5 6 7 8 8 7 7 8 9 9 8 5 4 5 6 8 8 7 6 7 7 6 6 7 9 12 13 11 10 9 11 13 14 13 10 8 9 9 10 11 11 11 9 6 4 6 9 12 14 15 14 13 12 12 13 12 12 11 10 9 8 8 9 10 11 13 13 13 12 11 10 10 9 9 9 8 8 8 7 6 6 5 5 4 3 1 0 0 1 3 6 10 15 19 21 20 18 17 16 15 14 12 11 10 10 10 9 9 10 11 13 14 14 13 12 10 9 7 7 7 7 6 6 7 nan
nan 4 5 6 7 9 11 12 12 10 9 8 9 10 12 15 16 17 17 16 14 14 13 13 12 12 11 10 9 8 6 5 5 5 6 7 8 9 10 10 10 10 11 11 12 12 12 13 14 15 13 9 5 4 6 8 10 11 11 11 10 9 8 7 7 7 7 8 9 10 10 10 10 9 9 8 7 5 3 4 5 7 7 6 7 9 10 8 6 4 5 7 11 11 10 10 11 13 14 13 11 10 10 10 10 11 11 10 7 4 4 7 11 13 14 14 12 12 12 12 11 11 10 9 8 7 7 6 6 7 9 10 11 12 11 11 10 10 9 9 9 9 9 9 9 8 7 6 5 4 3 2 1 3 5 7 11 14 18 20 20 19 17 15 13 12 11 10 10 9 9 9 9 9 11 13 14 14 13 12 11 9 8 7 7 7 7 7 6 7 nan
nan 4 5 5 5 7 9 10 10 9 8 8 9 10 12 14 15 16 15 15 14 13 12 11 10 9 9 9 9 9 8 6 6 7 7 7 7 8 8 9 9 10 11 12 14 14 13 13 14 15 13 10 8 7 8 10 11 11 10 10 9 8 8 8 8 8 9 9 9 9 10 10 11 11 9 7 6 5 5 6 7 8 8 8 9 10 11 10 7 4 3 4 7 9 9 9 10 11 12 12 12 13 13 12 12 12 11 9 6 3 5 8 11 12 11 10 9 9 9 9 9 8 8 7 7 7 6 6 6 7 8 9 9 9 9 9 8 8 8 9 10 10 10 10 10 9 8 7 6 5 5 4 5 6 9 12 15 17 18 17 16 14 13 12 11 11 10 9 8 8 9 9 10 11 13 14 15 14 13 12 11 9 8 7 8 7 7 7 7 7 nan
nan 8 7 6 5 5 6 8 8 8 8 8 9 10 11 12 13 13 13 14 14 13 11 9 7 6 7 8 9 10 9 8 8 7 7 8 8 9 9 10 9 9 11 12 14 14 14 15 15 16 15 12 10 9 9 11 11 11 9 8 7 7 9 10 11 12 11 10 9 8 9 10 11 12 10 8 7 8 10 11 12 12 11 12 12 12 11 9 7 5 4 3 5 7 8 9 8 8 8 9 12 13 13 12 12 11 10 8 5 4 7 10 12 12 10 8 7 6 7 7 7 7 6 7 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 11 12 12 12 12 12 11 10 8 8 7 7 8 9 11 13 14 16 16 14 11 10 9 9 9 9 8 8 8 9 9 10 11 13 14 15 14 14 13 12 11 9 8 8 8 7 7 7 7 7 nan
nan 13 12 10 8 6 6 6 7 8 9 9 9 10 11 11 11 11 11 12 12 11 9 6 5 5 6 8 9 9 10 9 8 8 7 8 9 11 12 12 11 10 10 11 12 13 14 15 16 16 14 11 9 8 9 10 11 10 8 6 7 8 10 12 15 15 14 11 9 8 8 9 11 12 11 10 11 12 15 16 17 16 16 17 17 14 11 9 8 8 6 4 4 5 7 8 8 7 6 8 11 12 12 11 10 9 8 6 5 6 9 11 12 12 9 7 5 5 5 6 6 7 7 9 12 14 16 16 16 15 14 13 11 10 9 10 10 10 10 10 11 12 12 13 13 14 13 13 11 9 9 9 10 11 12 12 13 14 13 11 8 6 5 6 6 6 7 7 9 10 11 12 13 14 15 14 14 13 12 12 11 10 9 8 8 7 7 7 7 7 nan
nan 15 14 13 12 10 8 7 8 9 10 10 10 10 11 11 11 11 10 10 9 8 5 3 3 5 7 9 9 10 10 9 8 8 8 8 10 11 13 14 13 11 9 9 11 12 14 16 17 16 14 10 8 7 8 9 10 9 8 7 7 9 11 13 16 17 15 12 11 10 9 10 11 12 13 13 14 15 17 18 18 18 19 20 20 17 15 13 12 11 8 6 5 6 7 8 9 8 8 9 11 12 11 10 9 9 8 6 5 7 10 12 12 10 8 6 4 4 4 4 5 6 8 11 15 19 21 22 22 21 20 17 15 13 12 11 11 11 10 10 10 11 11 11 12 13 14 13 11 8 8 8 9 11 13 15 16 15 13 10 6 3 2 2 3 5 6 8 9 11 12 13 14 15 15 15 14 13 12 11 10 10 9 9 8 7 7 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
74 76 78 81 85 88 90 87 85 84 86 92 102 111 110 103 98 97 102 108 113 112 108 102 98 95 94 93 93 95 97 91 83 84 101 118 122 111 97 90 96 113 131 137 125 103 88 84 87 104 122 133 132 125 113 96 81 69 65 57 43 45 73 113 149 230 340 257 141 62 25 13 9 6 5 2 0 0 0 0 0 0 0 1 9 14 11 14 15 20 31 47 64 76 88 103 120 140 150 139 109 77 56 38 35 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4
75 77 80 84 87 89 90 86 84 83 83 89 100 110 112 110 105 103 105 111 118 121 120 114 107 101 98 97 97 100 101 95 83 76 83 102 119 124 116 102 97 101 120 136 138 122 100 88 87 101 121 135 138 128 113 101 91 80 72 63 47 45 85 124 150 209 320 259 140 65 27 13 8 5 3 2 0 0 0 0 0 0 0 1 9 24 25 23 24 34 53 72 88 97 103 117 140 169 185 173 131 85 58 39 28 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 5 9
78 80 82 85 88 90 91 87 84 81 83 89 98 105 109 109 108 109 112 120 129 136 137 129 118 110 105 102 99 100 99 94 85 74 71 85 109 129 131 120 107 102 108 127 142 138 117 97 91 100 118 134 134 122 110 102 96 85 71 57 43 54 103 133 165 245 321 261 155 80 39 19 11 6 2 1 0 0 0 0 0 0 1 7 19 36 49 45 40 47 64 87 105 114 115 123 146 175 187 188 149 96 59 37 21 11 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 13 11 19 39
84 83 83 86 88 89 90 87 84 82 85 92 100 105 106 106 106 108 113 127 146 154 150 141 130 119 115 110 104 99 95 90 84 76 69 71 92 122 135 129 115 106 105 115 138 152 141 116 102 102 110 117 119 114 108 106 101 92 78 60 52 70 104 136 224 287 291 227 147 84 41 21 13 6 2 0 0 0 0 0 0 1 9 18 29 51 82 92 82 71 81 97 110 117 119 119 126 136 146 167 151 97 53 32 16 5 1 2 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 1 8 22 30 36 54 92
87 86 85 86 86 87 88 88 87 87 91 97 106 108 105 103 100 100 105 123 152 161 150 141 133 123 116 113 109 99 90 86 82 77 72 70 79 106 132 133 116 108 105 107 129 160 165 138 112 104 109 116 115 106 102 107 105 103 92 75 68 85 112 159 302 294 232 168 113 65 29 13 8 3 1 0 0 0 0 0 1 16 37 36 37 60 106 154 169 127 100 102 106 112 116 114 106 100 116 161 157 90 50 30 14 2 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 36 53 67 104 167
88 87 86 86 86 88 92 95 99 102 106 110 113 112 103 97 92 89 92 106 128 140 131 126 120 113 107 108 105 95 85 82 80 79 77 73 74 89 117 125 106 101 101 101 121 161 180 158 117 97 101 109 107 101 101 108 109 112 105 86 83 99 128 176 239 170 112 77 53 30 14 6 2 0 0 0 0 0 0 2 16 66 76 65 59 66 109 202 276 237 162 128 109 108 110 114 110 101 107 134 138 75 40 20 8 1 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 46 78 112 168 245
87 87 86 87 90 95 103 109 116 125 129 129 125 116 106 95 88 84 82 85 90 95 99 103 98 95 93 94 94 88 81 78 78 77 79 78 75 82 100 108 91 89 96 94 110 150 178 169 128 93 90 98 100 99 101 108 113 117 124 106 98 105 129 155 143 84 42 22 13 8 4 2 1 0 0 0 0 0 1 11 43 91 98 136 109 83 102 225 349 353 252 157 110 109 113 125 137 136 123 110 102 50 21 7 1 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 65 125 187 254 327
87 87 87 89 94 102 111 118 127 144 151 146 133 120 110 98 89 84 80 77 73 73 77 82 80 78 77 82 83 80 75 73 73 73 79 83 83 86 93 95 85 81 89 90 96 129 168 175 144 101 81 87 92 98 105 111 118 124 137 123 114 106 131 132 86 29 5 3 3 2 1 0 0 0 0 0 0 0 2 27 68 104 163 265 215 122 102 224 375 413 312 173 110 118 137 154 176 173 145 108 82 41 11 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 11 108 206 280 341 408
88 88 89 92 98 107 114 121 130 142 145 135 126 115 106 97 92 88 84 78 74 71 69 69 70 71 72 72 75 73 71 70 70 73 81 88 90 92 95 93 87 82 85 90 88 117 161 179 158 118 84 81 89 92 104 118 125 132 141 136 119 104 135 109 55 17 3 1 1 0 0 0 0 0 0 0 3 12 37 88 145 184 267 378 347 215 136 223 359 403 319 187 117 139 166 184 191 142 102 68 41 26 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 0 0 0 0 0 0 0 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 18 143 275 360 414 471
90 91 92 97 104 111 118 123 127 129 124 111 108 101 94 90 90 91 89 83 77 74 71 69 69 69 71 70 72 71 70 71 72 76 85 92 94 94 97 98 93 87 87 91 87 100 145 175 167 131 96 81 81 82 97 118 124 128 137 139 116 94 134 83 36 12 3 2 2 1 0 0 0 0 1 8 31 78 151 231 320 376 446 499 469 354 234 257 388 420 314 187 135 161 183 201 193 99 51 28 21 18 5 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 97 253 384 459 512
92 93 96 103 110 116 121 123 119 111 105 98 93 86 83 84 87 91 90 84 79 76 74 73 71 70 70 71 71 72 75 77 80 84 90 95 96 95 99 100 97 91 90 93 92 89 121 162 169 140 104 83 79 83 96 116 114 114 124 131 110 80 127 69 26 7 3 3 2 1 0 0 0 6 23 46 80 124 177 233 347 472 582 615 571 469 367 361 500 523 343 196 163 190 210 222 215 109 44 13 13 16 10 5 2 2 5 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 28 171 367 471 523
92 93 99 109 116 121 124 121 112 104 98 93 89 86 83 83 84 87 87 83 80 78 76 75 73 72 75 78 79 82 86 88 91 94 97 98 98 98 99 100 99 95 94 96 95 92 109 149 172 151 113 87 80 86 102 124 116 121 131 131 97 76 113 86 34 9 4 3 2 0 0 0 0 18 72 72 57 56 63 84 173 364 543 613 604 548 494 504 592 590 351 210 192 224 255 270 245 137 62 37 28 25 20 12 9 12 14 8 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 121 364 492 547
92 91 98 110 122 127 126 119 110 104 100 96 92 89 86 84 83 84 84 83 82 82 82 81 82 81 83 87 90 93 96 96 97 99 99 100 100 100 102 103 101 97 97 100 98 94 105 139 173 164 127 97 85 90 109 127 121 135 139 122 77 69 105 112 65 20 6 3 1 0 0 0 1 7 29 22 16 12 10 13 54 202 447 585 630 612 594 625 677 618 366 232 224 264 312 330 280 165 86 66 47 32 24 17 17 23 22 9 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 5 33 153 390 490 547
90 90 95 108 124 130 127 120 113 108 104 99 94 92 91 89 86 84 82 82 82 84 86 89 91 91 91 94 98 99 99 99 100 100 100 101 101 102 102 103 101 97 98 107 103 96 102 131 165 174 147 114 92 92 110 123 122 137 132 97 52 56 95 117 90 37 9 3 1 0 0 0 0 0 0 1 2 5 7 8 25 116 351 580 674 666 655 684 696 603 405 272 258 287 362 386 323 213 130 94 68 41 29 25 28 31 27 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 77 250 442 529 601
89 90 95 106 122 128 125 121 116 112 107 101 96 93 91 91 89 86 82 81 81 86 91 96 99 98 97 99 102 100 98 98 98 98 98 99 101 101 101 100 98 97 105 122 110 99 100 122 156 173 157 123 93 91 113 123 131 141 124 78 35 47 86 109 92 48 16 5 1 0 0 0 0 0 0 0 0 1 3 6 11 94 307 573 707 714 706 700 657 555 423 328 290 302 406 435 369 267 178 120 80 53 41 37 39 37 26 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 98 303 463 543 586
91 92 96 105 116 119 119 118 116 113 108 101 95 90 89 89 89 87 86 85 87 92 98 103 105 104 101 99 100 96 94 94 95 95 96 98 101 103 104 101 96 97 108 123 108 99 94 111 144 168 164 136 105 95 114 128 145 149 125 77 36 46 70 93 83 51 21 6 1 0 0 0 0 0 0 0 0 0 1 4 10 123 350 594 733 756 735 689 610 516 438 379 325 333 444 477 412 319 225 146 92 66 54 50 45 33 16 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 8 61 217 384 468 523
95 96 98 103 108 111 114 117 115 111 105 99 94 91 90 90 88 87 88 90 93 98 103 106 107 109 104 98 95 93 91 92 94 95 96 97 101 104 107 105 97 93 98 103 96 93 88 100 130 160 169 149 119 101 111 140 155 149 126 100 77 61 51 62 63 46 23 6 0 0 0 0 0 0 0 0 0 0 1 6 29 173 405 618 738 756 715 645 562 503 479 433 368 366 438 468 419 350 246 146 84 61 56 57 49 27 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 75 185 327 457
101 102 102 104 105 107 111 114 113 108 101 98 95 92 91 90 89 89 90 92 97 101 101 100 100 103 100 94 90 89 89 90 92 92 93 94 97 102 105 105 98 94 90 88 87 87 87 92 114 150 174 169 145 125 124 149 157 140 118 124 120 83 44 31 30 23 12 3 0 0 0 0 0 0 0 0 0 0 3 18 85 236 443 628 727 734 685 610 542 522 521 475 416 392 401 396 355 324 231 133 74 57 55 53 43 17 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 0 0 0 9 49 122 249
106 107 106 105 104 107 110 111 108 103 98 97 97 97 96 95 95 94 93 92 92 92 91 90 89 89 86 85 85 85 85 85 88 90 92 92 94 98 100 99 98 100 94 92 92 92 91 93 105 138 177 189 175 154 144 148 153 137 105 125 129 94 49 24 11 4 1 0 0 0 0 0 0 0 0 0 0 0 12 58 167 345 533 663 722 719 672 602 549 545 548 517 473 430 390 347 301 259 172 96 61 54 51 41 24 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 102
109 111 110 106 105 110 111 108 104 99 97 98 101 106 107 105 106 105 100 94 88 84 83 82 81 78 77 79 81 81 80 80 83 87 91 91 93 96 98 98 98 101 100 103 103 101 99 99 106 130 172 196 194 178 154 135 131 125 92 120 117 89 54 28 11 3 0 0 0 0 0 0 0 0 0 0 0 2 37 123 259 434 593 679 709 699 657 603 569 568 559 560 531 475 411 351 293 215 122 66 49 45 35 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9
113 114 111 108 108 114 110 106 104 101 100 103 112 124 133 134 129 123 115 107 95 86 82 80 78 76 75 75 77 77 78 79 80 84 88 90 92 96 99 98 99 103 106 111 111 111 110 109 114 134 169 206 214 196 159 132 119 106 83 124 101 78 52 27 10 2 0 0 0 0 0 0 0 0 0 0 0 4 76 198 350 510 629 679 686 670 633 596 578 572 556 564 554 504 430 360 291 202 109 53 39 32 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
117 115 112 110 112 114 112 111 111 109 111 118 130 144 153 151 144 133 122 110 96 85 80 78 77 75 72 72 73 75 78 80 80 81 83 85 89 93 98 100 102 106 112 117 119 127 128 125 131 147 180 222 242 198 151 148 141 113 89 111 76 60 39 20 7 2 0 0 0 0 0 0 0 0 0 0 0 5 115 264 424 570 665 689 674 649 614 584 563 541 524 549 559 513 429 351 277 196 116 59 35 21 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
118 116 115 113 115 116 117 121 125 129 135 141 147 152 153 144 133 123 109 96 85 78 75 73 73 72 69 69 72 75 78 80 80 79 77 78 82 87 93 99 105 109 116 125 135 148 155 158 174 182 205 241 247 192 140 156 140 102 76 65 45 33 22 10 3 0 0 0 0 0 0 0 0 0 0 0 0 4 143 316 479 617 704 720 680 631 605 579 550 513 502 532 533 495 416 336 261 192 130 78 38 15 9 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 119 117 118 118 121 129 139 150 159 159 157 150 142 134 127 114 98 86 77 70 68 69 69 69 67 67 69 71 74 77 80 79 78 74 72 74 81 89 97 106 109 118 142 166 188 212 243 279 254 253 275 271 218 156 139 114 62 40 32 25 19 11 3 1 0 0 0 0 0 0 0 0 0 0 0 0 21 145 358 524 645 722 735 686 630 616 592 562 524 522 538 527 492 415 334 255 185 124 71 31 13 2 0 0 0 0 0 1 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 119 119 122 123 132 145 157 163 164 159 150 137 123 110 99 88 79 79 74 66 65 65 66 66 65 66 70 70 73 76 78 76 75 71 68 71 79 88 98 105 109 119 159 200 242 303 370 409 344 314 324 295 228 158 107 69 34 24 22 19 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 22 124 342 519 616 681 695 663 636 637 627 595 565 559 561 548 509 436 345 254 172 108 66 36 10 0 0 0 0 1 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
119 117 119 125 131 142 154 160 161 154 143 130 116 103 95 85 81 83 87 81 70 65 64 64 64 65 66 70 71 72 75 75 72 69 67 69 75 82 90 98 107 116 129 163 197 241 312 396 444 399 362 379 333 237 149 85 34 18 12 15 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 10 87 264 440 518 566 590 590 613 654 662 621 606 578 569 555 516 448 357 256 162 86 36 14 7 0 0 0 0 2 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
116 115 117 126 134 142 150 153 150 138 124 112 100 92 91 95 97 96 93 85 72 63 62 63 64 66 69 71 72 72 74 75 71 69 71 76 83 90 98 105 119 140 163 184 194 205 250 351 414 407 386 391 332 223 145 80 32 13 7 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 76 227 379 433 421 460 520 598 655 660 626 607 553 536 526 490 432 359 272 170 84 44 12 1 0 0 0 0 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
112 112 113 122 128 136 144 147 142 129 113 101 94 91 93 100 100 96 87 76 66 62 63 63 65 68 71 72 72 73 73 75 75 76 80 87 95 104 116 131 154 185 216 240 251 249 266 327 371 377 364 347 295 201 135 68 25 9 6 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 81 241 403 475 458 466 494 541 569 573 556 524 475 443 442 434 408 363 295 197 93 69 19 0 0 0 0 2 10 11 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 0 0 0 0 0 0 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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