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 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 3 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 7 9 13 16 15 10 8 8 8 8 8 8 7 7 6 6 6 7 7 5 3 0 -4 -6 -3 3 7 9 9 7 6 7 8 9 11 13 14 14 11 7 5 4 5 4 4 3 5 10 16 23 27 24 19 15 16 18 22 24 25 24 23 21 20 18 16 15 14 13 13 12 12 11 10 9 8 8 nan
nan 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 6 6 6 7 9 13 18 18 14 9 8 8 8 8 8 8 7 6 6 6 6 6 6 5 4 0 -5 -7 -2 4 9 10 10 8 7 8 10 11 10 9 9 9 9 8 7 8 8 8 7 5 3 4 6 10 12 12 10 9 11 14 16 18 20 20 20 19 19 19 18 18 18 18 18 17 17 16 14 13 12 11 nan
nan 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 7 8 7 6 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 9 8 8 7 6 6 6 6 8 12 17 21 19 12 8 8 8 8 8 8 7 7 6 6 6 7 7 6 5 4 1 -4 -5 -0 6 10 11 9 8 8 9 10 11 9 7 5 6 6 7 7 8 8 9 9 8 6 4 3 4 4 5 5 5 5 6 7 9 11 13 14 15 17 17 18 19 20 20 21 22 21 21 20 19 18 16 nan
nan 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 6 4 3 4 4 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 7 6 6 6 6 6 6 9 14 18 19 16 12 10 9 9 9 8 8 7 7 6 7 7 7 6 5 4 3 -0 -3 -3 3 8 10 10 9 8 8 8 9 9 8 6 6 6 7 7 7 7 6 7 8 8 8 7 7 6 6 6 6 5 4 3 4 5 7 8 10 12 14 15 16 17 18 20 21 22 23 24 24 23 23 23 nan
nan 4 4 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 4 4 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 7 7 6 6 6 6 6 6 9 13 16 14 11 10 11 10 9 8 8 7 7 7 7 7 8 7 5 4 2 0 -3 -4 0 6 9 10 10 9 8 8 7 7 7 6 6 7 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 7 7 6 5 5 5 6 7 8 9 10 11 12 14 15 16 18 21 22 24 25 26 28 nan
nan 4 4 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 5 4 3 4 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 6 6 7 7 6 6 6 7 10 13 11 7 7 9 9 9 8 7 7 7 7 7 8 8 7 5 3 1 -3 -5 -3 3 8 9 9 9 9 8 8 7 6 6 5 5 6 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 7 7 6 5 5 5 5 5 4 5 5 6 7 8 10 11 14 16 19 22 24 27 nan
nan 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 5 5 6 7 7 8 8 9 9 10 10 10 11 11 11 10 11 11 11 11 10 10 9 9 8 7 7 6 6 7 7 7 6 6 6 5 5 7 10 10 8 7 7 9 9 8 8 7 7 7 8 8 7 7 5 2 -1 -5 -5 -0 6 8 9 9 9 8 8 8 8 7 6 6 6 5 5 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 6 6 5 4 3 2 1 1 2 3 4 4 5 7 9 11 14 17 20 nan
nan 4 3 3 3 3 4 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 10 9 8 7 7 6 6 6 7 7 7 7 7 6 6 6 5 4 5 8 10 9 7 7 9 10 9 8 8 8 8 8 8 7 6 4 1 -3 -7 -4 2 7 8 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 8 8 8 8 7 6 6 6 7 7 7 8 9 9 9 8 8 6 5 3 1 0 0 1 1 2 2 1 2 3 4 6 8 10 nan
nan 5 4 3 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 6 7 8 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 11 10 9 8 7 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 4 4 6 9 9 7 6 8 9 9 8 8 8 9 9 8 6 5 3 0 -4 -7 -4 3 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 9 10 10 9 8 7 5 4 2 2 2 3 3 3 3 2 1 1 1 1 2 2 nan
nan 6 5 5 5 6 7 7 7 7 6 5 5 5 5 6 6 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 11 11 10 10 10 9 8 7 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 3 5 9 10 8 5 5 6 7 8 9 9 8 8 7 6 5 4 2 -3 -6 -3 3 7 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 6 5 5 5 5 5 5 5 5 5 4 3 2 1 1 0 nan
nan 8 8 7 6 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 6 10 12 10 6 4 4 6 8 10 10 8 6 6 5 6 5 3 -0 -3 -1 4 7 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 6 5 4 4 3 2 nan
nan 9 8 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 6 6 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 11 12 10 7 6 6 7 8 10 10 8 6 4 5 6 5 1 -1 0 4 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 6 5 nan
nan 8 7 7 6 6 5 5 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 6 5 5 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 4 4 4 4 5 6 7 9 11 12 11 9 9 9 8 8 8 9 9 7 5 4 5 6 4 -0 -2 1 6 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 8 10 14 15 14 10 8 9 9 9 9 9 8 6 5 4 5 6 6 3 -1 -1 3 8 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 7 7 8 7 7 7 nan
nan -3 -2 0 3 5 5 5 4 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 6 6 6 5 5 6 6 5 5 4 4 3 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 5 6 8 11 14 17 18 15 10 8 8 9 9 10 9 7 5 4 4 5 5 5 2 -0 1 6 9 9 9 10 10 10 10 10 10 9 9 8 6 6 6 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 nan
nan -4 -2 2 5 6 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 5 6 6 7 10 14 16 16 15 12 8 8 8 9 9 9 8 7 5 4 4 5 4 2 0 0 4 8 9 9 9 9 9 9 9 9 8 8 8 6 5 5 4 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
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nan 15 14 12 9 8 6 6 5 5 5 6 6 7 7 7 6 6 5 4 3 2 2 3 4 5 5 6 7 8 9 9 8 5 3 2 2 3 3 3 3 3 3 3 2 2 3 3 4 4 5 7 10 13 15 15 12 8 7 7 7 7 9 9 9 9 8 7 6 5 5 5 3 0 -2 -0 4 7 8 9 9 9 9 8 7 7 6 6 6 6 5 5 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
nan 11 9 8 8 7 6 6 6 6 6 6 6 5 6 6 5 5 4 4 3 3 3 4 5 6 7 8 8 9 9 8 7 5 3 2 1 1 2 2 2 1 1 1 1 2 2 3 4 5 7 9 12 15 15 13 9 6 6 7 7 8 9 10 9 9 8 7 6 5 5 4 2 -1 -1 3 6 7 8 8 9 9 9 8 8 7 7 6 6 6 6 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 8 8 8 8 7 6 6 5 4 3 3 3 3 3 2 1 0 0 1 1 2 4 5 7 9 12 15 15 13 10 7 6 6 6 7 8 9 9 9 8 7 7 5 5 5 4 -0 -4 -1 5 7 7 8 8 9 9 9 9 8 8 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 nan
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nan 9 9 8 5 5 5 5 5 5 4 4 3 4 4 4 3 3 4 5 6 6 7 7 7 6 6 5 5 4 5 6 7 9 10 10 11 11 10 9 7 6 6 4 4 4 6 7 9 11 12 13 12 10 8 7 7 6 6 7 8 9 9 8 8 7 7 7 6 5 4 2 -2 -2 1 5 7 7 8 8 8 9 9 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 nan
nan 11 10 7 5 4 4 4 4 5 4 3 3 3 3 4 4 5 6 6 6 6 6 6 5 4 4 4 4 4 6 7 9 12 12 12 11 10 9 8 7 7 7 6 5 5 6 8 9 10 10 10 9 8 7 7 7 7 7 7 8 9 9 8 8 7 7 7 6 6 4 1 -3 -1 3 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 5 4 3 3 3 3 3 3 2 2 3 4 5 5 5 5 5 5 4 4 3 3 3 3 4 6 7 9 11 12 11 11 9 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 7 6 6 6 7 7 8 8 8 9 8 8 7 7 7 6 6 7 5 0 -3 -1 4 6 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 7 7 nan
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nan 4 5 5 4 3 0 -1 -1 -1 1 2 4 3 0 -1 -1 -1 -0 1 2 2 0 -0 1 2 3 4 6 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 6 5 4 3 -0 -1 2 5 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 6 4 2 -0 -1 0 2 3 4 5 4 2 1 1 2 3 4 5 3 1 1 2 4 5 5 6 7 7 7 6 6 7 8 9 9 8 8 8 7 7 7 7 7 6 7 7 8 8 7 6 6 7 8 8 7 8 8 7 7 7 8 8 8 7 6 4 2 0 -1 -1 2 5 6 6 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 6 4 3 3 3 5 6 6 7 8 8 6 6 6 6 7 8 8 6 4 3 4 5 6 6 7 7 7 7 6 5 6 8 9 9 9 9 9 8 7 7 7 7 6 6 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 6 4 2 0 -1 -0 3 5 6 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 6 6 6 5 5 6 7 7 8 8 8 9 10 9 9 9 8 8 9 9 8 7 6 6 6 7 7 7 7 7 7 7 6 6 7 8 8 8 9 10 9 8 8 8 7 7 7 7 7 8 8 8 8 7 8 9 8 7 7 7 7 7 8 9 9 8 6 5 3 1 -1 0 3 5 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 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 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 nan
nan 6 7 7 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 8 7 7 8 9 9 8 8 9 8 7 7 7 7 7 7 8 9 8 7 5 3 1 -1 0 3 5 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 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 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 nan
nan 7 8 8 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 8 9 8 7 7 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 9 9 8 8 7 8 8 9 8 9 9 9 8 7 7 7 7 7 8 8 8 8 6 3 -1 -3 -1 2 4 5 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 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 7 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 8 8 7 6 6 7 8 8 8 7 7 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 7 7 8 8 9 8 7 4 -1 -4 -3 1 4 4 5 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 9 9 9 8 6 2 -3 -4 -1 2 4 5 5 6 6 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 8 8 8 7 6 7 9 10 9 9 8 8 5 -1 -4 -2 1 3 4 4 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 nan
nan 7 7 7 7 8 8 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 8 8 8 7 7 9 10 10 9 9 9 7 2 -2 -2 -0 2 3 4 4 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 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 6 6 6 6 nan
nan 7 7 8 8 8 7 6 6 6 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 5 6 7 7 7 6 6 6 6 6 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 8 8 7 8 9 10 10 9 9 9 8 5 1 -1 -1 1 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 8 9 9 9 8 6 6 6 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 6 5 5 6 6 7 7 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 9 9 9 9 7 4 -0 -2 -0 2 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 9 9 8 6 6 6 7 8 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 7 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 6 1 -2 -1 1 2 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 7 6 5 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 7 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 6 7 7 8 9 10 9 9 8 8 8 9 9 7 3 -0 -1 0 1 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 6 5 5 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 7 8 9 9 9 9 9 8 8 8 8 6 3 1 -0 1 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
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nan 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 6 7 7 7 7 7 8 8 8 9 9 7 6 7 8 8 8 9 10 10 9 8 7 7 7 6 5 3 2 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 nan
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nan 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 6 6 7 8 8 7 6 6 6 6 7 8 8 7 6 6 6 7 7 6 6 7 8 7 7 7 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 7 7 8 8 9 8 6 5 3 3 3 4 4 3 3 2 2 1 2 2 3 4 5 5 6 6 6 7 7 6 6 6 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 7 6 6 7 6 6 6 7 7 7 6 6 6 7 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 5 4 4 4 5 5 5 5 4 3 2 2 2 2 3 4 5 5 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 6 6 7 7 7 7 7 8 8 8 8 8 7 6 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 8 7 6 6 7 7 7 7 6 6 7 8 8 8 7 7 7 7 7 8 9 9 8 8 7 7 7 6 7 7 6 6 7 7 8 8 7 8 8 8 8 8 8 6 5 5 5 5 6 6 6 6 6 5 4 3 3 3 3 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 7 7 8 8 8 7 7 7 7 7 7 6 7 7 8 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 8 8 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 6 6 5 4 4 4 4 4 5 6 6 7 7 7 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 8 7 7 8 8 7 7 6 6 8 8 8 8 8 7 7 7 7 7 7 6 7 7 8 7 6 6 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 5 6 7 8 8 7 7 7 7 8 8 7 8 8 8 7 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
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nan 8 8 7 7 8 8 9 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 7 6 7 7 8 8 8 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 7 7 6 6 5 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 6 6 6 6 6 6 7 8 8 8 7 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 nan
nan 8 8 7 8 8 8 8 7 6 6 6 7 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 7 7 6 6 6 6 7 8 8 8 8 7 8 8 8 8 7 7 8 8 8 8 8 7 5 3 4 5 6 6 6 6 6 6 7 7 8 8 8 7 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 nan
nan 9 8 8 8 8 8 7 7 6 7 7 8 8 7 7 7 8 8 8 9 9 8 8 8 7 6 7 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 5 3 3 5 7 7 6 6 6 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 8 8 8 7 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 5 4 6 8 8 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 8 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 6 5 6 8 8 8 8 9 10 9 9 8 7 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 nan
nan 9 8 8 9 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 6 7 7 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 9 12 13 13 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 7 7 nan
nan 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 7 7 6 7 7 9 9 8 8 8 7 7 7 8 8 8 7 7 8 8 8 7 7 7 8 7 7 7 10 13 14 13 10 7 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 nan
nan 9 9 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 11 11 10 9 8 8 8 8 9 9 9 8 8 7 8 8 8 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 8 9 11 11 10 8 5 3 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 5 6 6 6 6 7 7 8 nan
nan 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 8 9 10 11 11 11 11 10 9 9 9 8 8 8 8 8 7 7 7 8 8 9 8 8 9 9 10 11 10 10 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 7 6 6 7 7 7 8 8 9 9 9 8 5 3 4 6 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 5 5 5 6 6 6 7 7 8 8 nan
nan 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 9 9 8 6 6 5 6 6 7 8 9 9 9 8 9 10 11 11 10 10 10 11 11 11 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 6 5 6 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 6 5 5 5 6 6 7 7 7 8 8 8 nan
nan 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 8 8 8 7 7 7 6 7 7 8 9 8 6 5 5 5 6 7 7 8 8 8 9 10 11 11 11 10 10 10 11 12 12 11 10 9 8 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 nan
nan 8 7 7 7 7 7 7 8 8 9 9 9 10 9 8 8 9 9 10 10 9 8 7 7 7 6 6 7 7 8 8 8 8 7 6 5 6 6 7 7 8 9 10 11 12 11 10 9 9 10 11 12 13 13 11 10 8 8 7 7 7 7 7 7 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 9 9 8 7 6 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 7 nan
nan 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 8 6 6 6 6 7 7 8 10 11 11 11 11 9 8 8 9 11 12 13 13 12 11 10 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 7 8 8 9 9 9 9 8 7 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 10 9 8 7 6 5 5 5 5 6 7 7 8 8 8 8 7 7 7 nan
nan 8 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 6 7 7 8 8 10 11 11 11 10 9 8 7 8 10 11 13 14 13 11 10 9 9 9 9 8 8 8 7 6 6 6 6 7 6 6 6 6 6 7 7 7 7 6 6 7 8 8 8 7 7 6 6 7 8 8 8 8 9 10 9 8 7 7 7 7 7 7 7 8 8 9 9 10 12 14 17 17 16 14 10 7 6 6 5 5 6 6 7 7 8 8 8 7 7 7 7 6 nan
nan 9 9 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 8 8 7 7 7 7 8 9 10 12 11 10 9 8 7 7 8 9 11 13 13 12 10 8 8 8 8 9 9 8 8 7 6 6 6 7 7 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 7 6 6 6 7 7 7 7 7 8 8 9 10 13 16 18 18 17 13 8 4 5 5 6 6 7 7 7 8 8 7 7 7 7 6 6 6 nan
nan 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 9 9 8 8 7 8 8 7 7 7 7 7 8 10 11 11 10 9 8 8 8 9 9 10 11 11 10 9 7 7 6 7 8 8 8 8 8 7 6 7 8 8 7 7 6 6 6 7 7 7 6 6 6 7 7 6 6 6 6 7 8 9 9 9 9 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 9 10 11 12 13 13 9 3 -1 1 4 6 6 7 7 8 8 7 7 7 7 6 6 6 6 5 nan
nan 10 9 9 8 8 7 8 8 9 9 9 8 7 7 6 7 7 7 7 7 8 8 8 8 9 10 11 11 11 10 9 8 8 7 7 7 7 7 7 8 9 10 11 10 10 9 9 10 10 10 10 9 9 9 9 8 8 7 7 7 8 9 10 9 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 7 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 6 1 -6 -6 -0 5 7 8 8 8 8 7 7 7 6 6 6 6 5 5 5 nan
nan 9 10 9 8 7 7 7 7 8 9 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 10 11 11 11 11 10 9 9 8 7 7 7 6 6 7 8 9 10 10 10 11 11 11 11 10 9 8 8 8 9 9 10 9 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 6 6 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 4 -2 -6 -2 4 8 9 9 8 8 7 7 7 6 6 5 5 5 5 5 5 nan
nan 9 10 9 8 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 9 10 10 10 10 11 11 10 9 8 8 7 7 6 6 7 7 9 9 10 11 12 12 11 10 9 8 8 8 9 9 10 10 8 8 8 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 9 9 9 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 6 2 -3 -2 5 11 13 12 11 9 8 7 7 6 5 5 5 5 5 5 5 5 nan
nan 10 10 10 9 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 11 12 11 10 9 9 8 8 7 7 6 7 8 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 7 5 4 3 4 5 6 8 9 9 9 8 8 7 7 8 8 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 5 3 2 7 15 19 18 15 12 11 9 7 6 5 5 5 5 5 5 5 5 5 nan
nan 11 11 11 11 12 11 10 9 8 8 9 10 9 9 8 9 8 7 7 7 7 7 7 7 7 8 9 9 9 10 11 12 11 10 9 9 10 9 8 7 7 8 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 7 5 4 3 4 5 7 9 10 10 10 10 10 10 10 9 8 8 9 8 7 7 7 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 10 16 21 22 18 15 13 12 9 7 5 5 4 4 5 5 5 5 5 6 nan
nan 12 13 13 14 15 14 13 11 9 8 8 9 9 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 10 11 11 10 9 9 10 10 9 8 7 8 8 8 8 8 9 9 9 10 10 11 11 11 10 9 8 7 5 5 6 7 8 10 10 10 9 9 9 10 10 11 10 9 9 9 9 8 7 8 9 9 8 8 8 8 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 13 16 17 15 13 12 12 10 7 5 4 4 4 4 5 5 5 5 6 6 nan
nan 11 12 12 13 13 13 13 12 9 6 5 6 7 8 9 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 11 11 10 9 10 10 9 9 8 8 7 6 6 7 8 9 9 9 10 10 10 9 8 7 7 6 5 6 7 9 10 10 9 8 7 7 8 9 9 10 10 9 9 9 9 9 8 8 8 8 7 6 7 7 7 7 8 8 9 9 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 11 10 9 8 8 8 6 3 1 2 4 4 5 5 5 5 5 5 6 nan
nan 9 9 10 10 10 11 11 11 8 3 1 1 4 7 9 10 9 9 9 8 8 8 9 8 8 7 8 8 7 6 6 8 9 10 10 10 10 10 10 10 9 8 7 6 7 8 8 8 7 8 9 10 9 8 8 7 6 6 6 6 7 9 10 9 8 7 6 7 8 8 9 9 10 9 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 6 4 2 2 1 -1 -4 -4 1 3 4 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 9 8 4 1 -0 1 4 7 9 10 10 9 8 7 6 6 7 7 7 7 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 9 9 8 8 8 8 7 6 7 8 9 9 9 8 8 7 7 6 6 7 8 9 9 8 7 7 7 8 8 9 10 10 10 9 9 10 10 10 10 9 8 7 6 6 7 7 7 7 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 7 2 -2 -5 -6 -6 -8 -10 -5 0 3 5 5 5 5 5 5 5 5 nan
nan 7 7 7 6 6 7 6 4 1 1 2 4 6 8 10 10 10 10 9 7 5 5 6 6 7 7 8 9 10 10 9 7 6 7 8 10 10 10 10 10 9 9 10 10 10 9 8 8 7 8 8 8 8 8 8 9 9 8 7 6 6 7 8 8 7 7 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 9 9 9 8 5 1 -2 -4 -4 -3 -5 -4 -0 3 5 5 5 5 5 5 5 5 5 nan
nan 7 7 5 4 5 5 4 2 2 4 6 8 8 9 9 10 10 9 8 6 6 6 6 7 7 9 10 11 11 11 9 7 7 7 9 10 10 9 8 8 8 8 9 10 10 10 9 9 9 9 8 8 7 7 8 8 9 9 8 7 6 6 6 7 7 6 6 7 7 7 8 9 9 8 9 11 11 11 10 10 10 10 10 10 9 10 10 10 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 6 4 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 6 5 3 3 5 6 6 5 5 7 8 8 8 8 9 9 9 9 8 7 8 8 8 8 9 9 10 10 10 9 8 7 7 7 8 10 10 9 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 6 5 5 6 6 7 7 6 6 6 7 7 7 8 9 11 11 11 9 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 9 10 11 12 11 8 6 5 5 5 5 5 5 5 5 5 5 6 nan
nan 4 3 3 4 6 8 8 8 8 8 8 8 8 8 9 9 10 9 8 9 9 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 6 4 4 5 6 7 8 10 10 10 9 8 7 8 8 9 9 10 11 11 11 11 11 11 10 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 7 7 8 8 9 9 9 9 10 10 9 6 4 3 4 5 5 5 5 5 5 5 5 5 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 2 4 8 10 12 14 13 13 12 11 9 8 9 11 14 15 16 19 22 21 21 20 19 19 20 22 22 25 36 78 118 138 119 73 35 20 12 6 2 3 5 9 6 5 4 4 8 13 20 32 40 35 38 47 25 16 18 19 16 13 10 6 4 5 7 18 26 30 33 34 34 31 25 20 21 28 30 24 16 7 1 0 0 0 3 11 31 91 192 337 569 716 794 881 848 615 334 234 191 161 171 189 213 277 419 641 823 851 837 758 595 396 364 417 509 560 551 509 467 440 430 444 476 512 514 483 439 390 352 325 307 292 280 302
4 10 16 19 18 16 14 13 12 12 13 14 13 14 16 20 21 25 31 35 31 27 23 18 16 17 18 18 19 22 30 35 39 30 18 11 8 6 4 3 2 3 5 3 3 4 4 6 14 26 41 56 36 49 47 30 22 19 15 9 4 3 3 4 6 10 19 26 31 35 35 31 26 19 13 12 17 19 15 9 3 1 0 0 0 1 9 29 93 201 416 725 848 828 892 1062 953 471 341 306 274 244 202 160 171 279 488 678 711 808 900 773 626 599 672 763 814 823 807 747 728 642 622 646 723 796 774 721 680 629 601 582 557 499 550
10 17 26 28 25 19 14 14 14 13 15 17 18 18 21 24 30 40 56 68 69 66 47 22 15 13 13 14 15 15 11 7 5 4 3 4 6 4 1 2 2 2 3 4 5 6 9 14 19 26 37 78 95 73 43 24 14 10 6 3 1 0 1 4 5 12 21 29 35 39 36 30 25 20 17 18 20 18 11 5 1 0 1 1 0 1 8 28 110 233 492 799 819 534 323 394 423 329 356 406 423 394 340 291 271 297 356 409 437 530 616 606 600 556 551 583 617 647 639 658 651 530 504 566 669 765 817 851 882 917 918 855 826 824 832
18 27 32 32 29 23 17 15 14 14 14 15 18 20 25 29 32 46 77 133 188 191 99 27 18 15 15 14 12 11 7 3 2 1 2 4 6 3 1 2 2 2 4 8 10 13 20 27 28 48 75 116 108 59 25 10 5 3 3 1 1 0 1 4 7 17 27 32 36 37 35 30 26 23 23 22 20 15 9 4 1 1 0 0 0 0 13 53 148 264 456 707 716 333 125 133 131 182 308 395 423 401 371 372 380 336 254 183 180 218 252 309 335 293 229 220 278 362 382 357 360 387 390 459 533 583 642 749 902 1024 1028 946 921 910 861
24 31 35 35 32 27 20 16 15 14 13 13 18 22 27 32 37 47 78 193 487 445 106 26 15 11 11 10 9 6 3 2 2 3 3 2 2 3 5 5 4 4 6 11 18 28 50 78 95 112 104 68 28 11 6 4 3 3 2 2 1 0 1 4 11 20 28 33 35 35 33 29 24 22 23 20 16 14 9 4 2 0 0 0 0 2 23 79 165 251 318 419 492 264 196 212 201 247 327 336 296 264 265 282 307 319 249 171 130 121 138 166 184 221 258 312 350 415 500 541 575 608 604 557 516 530 611 721 783 850 863 834 828 827 814
29 35 40 42 39 32 24 19 18 15 13 13 17 22 26 31 41 53 62 77 96 83 35 15 6 4 6 7 7 5 3 2 4 4 3 2 3 5 7 7 7 10 15 23 37 68 127 187 199 129 70 25 8 4 3 2 1 2 1 1 0 0 0 2 7 15 22 26 30 30 28 24 21 22 21 19 16 13 8 3 2 0 0 0 0 6 32 83 143 190 194 175 227 194 267 362 393 397 364 300 236 197 187 200 231 324 306 249 199 174 212 313 398 432 518 544 539 535 569 673 743 659 547 470 447 457 486 516 555 576 591 608 630 671 740
33 42 50 50 47 38 30 24 20 16 13 13 17 21 27 39 52 71 65 43 27 18 10 5 2 3 4 5 5 6 5 6 7 6 6 7 7 10 14 15 16 29 50 77 107 134 155 140 77 28 10 4 3 2 1 0 0 0 0 1 0 0 0 1 4 8 12 17 22 22 23 20 19 21 20 17 14 10 5 2 1 1 0 0 3 14 27 54 90 112 106 74 78 117 223 318 323 311 294 275 256 217 180 162 184 247 280 271 252 227 261 420 536 500 453 401 370 353 378 415 410 384 336 297 302 327 348 361 378 409 442 474 505 562 647
37 58 59 55 48 40 34 28 22 18 16 13 16 18 28 46 59 77 67 36 15 8 4 3 3 3 2 3 5 8 10 13 14 12 10 11 15 20 29 41 53 75 111 151 168 133 91 44 14 5 2 1 0 0 0 0 0 0 1 1 0 0 0 1 3 6 9 13 16 17 20 18 18 18 17 16 13 7 1 2 1 0 0 1 6 13 22 37 51 53 46 35 32 56 130 165 167 169 191 230 247 204 183 153 153 174 203 221 236 242 234 286 257 191 170 151 141 181 252 300 290 250 212 180 187 215 241 263 287 330 393 436 457 515 642
52 87 82 67 52 38 30 24 19 19 20 14 15 16 26 38 41 38 27 15 7 3 3 3 7 6 6 8 13 17 21 29 35 29 33 29 33 38 73 117 135 124 117 125 109 52 25 8 2 0 0 0 0 0 0 0 0 0 5 6 2 0 0 0 1 4 8 9 13 16 18 19 19 17 15 14 10 3 0 0 0 0 0 2 8 14 22 35 37 27 33 30 27 45 64 70 78 93 117 160 186 163 158 143 123 121 134 149 166 180 161 152 104 72 81 96 122 176 240 287 284 229 178 147 144 153 159 156 158 196 257 305 348 403 490
89 107 102 76 51 34 24 19 15 20 20 14 13 14 19 22 19 13 8 4 1 1 3 8 15 16 19 25 31 49 77 94 112 102 104 101 84 99 156 206 181 101 51 39 27 9 7 5 4 3 2 1 0 0 0 0 0 0 10 19 8 0 0 1 2 2 4 8 10 14 15 18 17 13 9 6 3 1 0 0 0 0 0 3 7 12 15 23 30 28 47 49 46 46 44 42 52 67 84 106 118 130 147 129 94 73 71 82 95 109 115 121 115 108 94 92 114 155 205 252 231 195 162 139 130 125 122 120 113 121 148 179 211 258 289
124 132 102 72 49 32 25 23 22 28 23 15 13 12 11 10 8 5 4 5 6 8 14 37 59 67 68 72 75 98 150 176 191 185 180 170 151 150 172 165 99 27 11 11 12 9 7 4 2 1 0 0 0 0 0 0 0 0 8 19 12 0 0 1 3 3 3 5 6 10 12 15 16 10 3 0 0 0 0 0 0 0 1 3 7 10 13 20 34 44 61 68 65 55 44 39 53 72 85 79 73 68 67 60 51 44 40 43 51 66 87 100 96 77 59 55 67 91 128 159 154 143 125 110 99 92 96 112 124 117 119 134 156 184 205
183 182 131 86 53 35 31 36 48 62 41 18 11 12 9 6 4 4 9 19 28 37 64 122 164 165 154 142 119 103 117 148 160 157 157 128 118 106 90 65 29 14 13 13 10 6 3 1 0 0 0 0 0 0 0 0 0 0 2 6 4 0 0 1 2 2 1 2 2 6 8 9 8 5 1 0 0 0 0 0 0 0 1 4 8 12 18 30 49 62 73 79 71 53 45 47 60 71 68 54 42 32 26 23 23 23 23 25 30 37 51 56 48 35 27 29 34 42 62 74 77 77 72 67 59 56 65 69 68 77 87 101 118 133 145
328 259 161 89 51 38 41 62 102 114 57 26 21 34 30 23 27 35 39 45 69 111 148 179 184 173 161 134 89 56 45 55 54 63 79 69 73 56 27 17 13 14 14 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 3 2 1 1 0 0 0 0 0 0 0 1 2 4 10 14 30 49 61 66 69 73 70 55 49 50 52 54 50 38 27 19 13 11 12 12 14 18 21 24 28 28 26 27 27 26 26 28 31 33 34 32 33 38 41 52 55 52 48 47 54 63 73 84 95
262 164 95 67 55 53 70 103 125 94 46 33 58 74 61 45 43 45 43 42 52 61 60 81 86 85 78 58 36 32 43 32 24 23 30 26 19 15 13 12 12 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 3 7 12 24 45 60 64 60 55 55 56 56 54 45 38 38 40 35 25 16 10 6 7 8 10 15 19 20 20 21 21 23 22 22 25 26 27 27 26 26 26 28 33 40 43 43 41 40 40 42 49 60 69
137 93 82 90 86 77 90 85 65 30 26 26 33 36 32 27 24 22 23 32 40 44 43 40 36 34 29 23 24 37 66 66 43 27 25 27 24 19 14 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 4 8 15 29 52 65 63 53 44 40 43 53 53 47 35 32 33 31 24 17 10 7 9 10 14 19 22 19 16 15 15 17 15 18 22 24 24 24 23 23 23 23 25 27 28 28 28 28 29 30 35 36 41
73 65 65 76 79 70 68 32 19 13 22 25 19 12 8 9 16 33 42 60 51 44 38 30 23 20 21 22 26 31 41 47 39 29 22 18 14 11 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 14 24 41 51 48 41 35 33 37 42 41 36 32 30 30 27 22 18 14 14 15 17 20 23 24 19 15 14 14 15 16 18 20 21 22 21 21 21 20 20 20 21 21 21 22 24 25 26 27 28 29
53 39 19 15 26 39 39 17 19 25 30 30 24 15 10 14 28 66 83 79 54 38 27 20 16 15 16 17 21 19 16 16 15 12 8 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 9 12 19 28 33 33 32 30 29 31 32 32 31 29 28 27 25 21 20 19 21 22 22 21 20 18 15 13 13 14 15 17 18 18 19 19 19 19 19 18 18 17 17 17 17 18 19 21 22 23 24 25
42 30 16 11 11 20 27 22 27 31 34 36 34 30 30 38 61 108 108 67 40 27 20 16 13 9 7 6 9 11 8 4 6 6 8 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 1 4 5 8 11 15 21 27 29 29 26 26 27 28 27 26 26 24 23 21 20 19 20 21 20 18 16 14 12 12 11 10 11 12 13 14 14 16 17 17 17 17 16 15 15 15 15 15 15 15 16 17 18 19 20
20 16 10 6 5 12 23 30 39 30 32 36 43 46 42 47 65 74 48 40 32 26 21 16 9 3 1 1 2 3 2 4 37 40 8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 9 11 15 22 25 25 23 23 23 24 24 22 20 18 16 14 13 14 14 12 10 10 10 10 9 9 9 8 9 9 9 9 10 12 13 15 15 15 15 14 13 12 12 12 12 12 12 12 12 13 13
5 3 2 1 2 7 14 16 26 24 29 37 49 57 50 41 44 50 39 35 32 27 19 9 3 0 0 0 0 0 0 1 28 41 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 1 4 7 8 9 11 18 20 21 21 21 22 22 21 19 16 14 11 8 7 6 6 5 6 6 6 7 6 6 7 8 8 8 8 8 8 9 11 13 14 14 13 13 12 10 10 9 7 8 8 8 8 9 10
1 1 1 1 1 2 5 4 7 14 21 26 32 44 54 48 38 39 38 35 30 23 12 3 0 0 0 0 0 0 0 0 3 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 1 2 5 8 8 8 13 17 19 20 21 21 20 20 18 14 12 8 5 4 3 3 3 4 4 4 4 4 5 5 6 7 7 7 8 7 7 8 10 13 13 13 13 12 11 10 7 6 6 6 6 5 7 6
1 1 1 1 1 2 2 2 2 7 12 14 15 18 29 54 42 37 33 29 22 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 7 7 7 10 14 18 19 20 20 20 19 16 12 9 6 4 3 2 2 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 8 10 12 12 12 11 10 9 6 5 5 5 5 4 5 5
1 1 2 2 2 2 2 2 4 8 9 9 10 14 35 64 44 30 22 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 8 8 12 15 16 17 18 18 17 13 11 7 5 4 3 2 2 2 2 3 3 3 3 3 3 5 6 7 6 6 5 5 5 5 6 8 10 10 8 7 6 5 5 5 5 5 4 4 5
1 1 2 2 2 2 2 2 6 16 16 8 11 18 17 20 17 12 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 1 3 6 7 8 9 11 12 14 16 16 14 12 9 7 5 4 2 2 2 2 2 2 2 2 2 2 3 4 5 5 5 4 4 4 4 4 5 6 8 7 6 6 5 4 4 4 4 4 4 4 4
0 1 2 2 3 2 2 2 6 25 32 12 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 8 8 10 12 11 10 10 9 7 5 3 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4
0 1 1 2 2 2 2 1 2 6 11 12 12 0 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 7 8 8 8 8 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 5 5 4 4 3 2 2 3 4 4 4
0 1 1 1 2 2 2 1 1 0 3 9 12 1 4 8 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 1 3 5 6 6 6 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 3 2 1 1 2 2 3 3
0 1 1 1 1 1 1 1 1 1 0 1 3 0 3 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 5 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 3 2 1 1 1 2 2 2 2
0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 2 2 2 2 2 2
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